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+{"segments": [{"id": 1, "seek": 3106, "start": 2.82, "end": 31.06, "text": "بسم الله الرحمن الرحيم نلتقى اليوم في محاضرة جديدة بعنوان biology of B cell بالنسبة لل B lymphocyte ال B lymphocyte بسلها proliferation and differentiation في ال bone marrow تنشأ في ال bone marrow و بسلها differentiation في ال bone marrow وتبقى في ال bone marrow أثناء عملية تطورها تكتسب", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 8717, 1211, 2655, 4587, 7578, 45595, 20498, 8978, 3714, 5016, 46958, 25720, 10874, 16254, 41891, 45030, 1863, 2407, 7649, 14956, 295, 363, 2815, 20666, 1863, 35457, 3660, 24976, 363, 31070, 31078, 975, 2423, 363, 31070, 31078, 975, 4724, 3794, 1211, 11296, 24398, 44987, 293, 38902, 8978, 2423, 9026, 47739, 6055, 1863, 8592, 10721, 8978, 2423, 9026, 47739, 4032, 4724, 3794, 1211, 11296, 38902, 8978, 2423, 9026, 47739, 34683, 3555, 4587, 7578, 8978, 2423, 9026, 47739, 5551, 12984, 1863, 16606, 6225, 42213, 10632, 6055, 9566, 13063, 11296, 6055, 4117, 2655, 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13109, "start": 108.29, "end": 131.09, "text": "ففي على سطحها CD 19 و CD 10 مرحلة اللي بعدها اللي هي Libre B وفي هذه المرحلة ال V هي VG تبدأ تتصفت و ترتبط مع ال DG ال segment اللي اتكونت في المرحلة اللي سبقتها وبالتالي بيصير في عندنا VDJ", "tokens": [5172, 41185, 15844, 8608, 9566, 5016, 11296, 6743, 1294, 4032, 6743, 1266, 3714, 2288, 5016, 37977, 13672, 1829, 39182, 11296, 13672, 1829, 39896, 15834, 265, 363, 4032, 41185, 29538, 9673, 2288, 5016, 37977, 2423, 691, 39896, 691, 38, 6055, 44510, 10721, 6055, 2655, 9381, 5172, 2655, 4032, 6055, 43500, 3555, 9566, 20449, 2423, 413, 38, 2423, 9469, 13672, 1829, 1975, 2655, 30544, 2655, 8978, 9673, 2288, 5016, 37977, 13672, 1829, 8608, 3555, 38149, 11296, 46599, 6027, 2655, 6027, 1829, 4724, 1829, 9381, 13546, 8978, 43242, 8315, 691, 48383], "avg_logprob": -0.29564607277345123, "compression_ratio": 1.5876288659793814, "no_speech_prob": 1.0132789611816406e-06, "words": [{"start": 108.29, "end": 108.63, "word": "ففي", "probability": 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{"start": 143.18, "end": 143.52, "word": " هو", "probability": 0.52880859375}, {"start": 143.52, "end": 144.56, "word": " Constant", "probability": 0.6251017252604166}, {"start": 144.56, "end": 144.8, "word": " Mu", "probability": 0.9169921875}, {"start": 144.8, "end": 145.46, "word": " فبيتكون", "probability": 0.63568115234375}, {"start": 145.46, "end": 145.86, "word": " عندنا", "probability": 0.61663818359375}, {"start": 145.86, "end": 147.3, "word": " VDG", "probability": 0.6959635416666666}, {"start": 147.3, "end": 147.98, "word": " Constant", "probability": 0.631591796875}, {"start": 147.98, "end": 148.32, "word": " Mu", "probability": 0.9443359375}, {"start": 148.32, "end": 150.58, "word": " وبالتالي", "probability": 0.863232421875}, {"start": 150.58, "end": 150.88, "word": " هذا", "probability": 0.4453125}, {"start": 150.88, "end": 153.02, "word": " التصفيطة", "probability": 0.8096516927083334}, {"start": 153.02, "end": 154.0, "word": " بتكون", "probability": 0.853271484375}, {"start": 154.0, "end": 154.42, "word": " عندنا", "probability": 0.80615234375}, {"start": 154.42, "end": 155.02, "word": " الميو", "probability": 0.6148274739583334}, {"start": 155.02, "end": 155.72, "word": " chain", "probability": 0.642578125}, {"start": 155.72, "end": 157.5, "word": " وهذه", "probability": 0.662109375}, {"start": 157.5, "end": 158.98, "word": " الميو", "probability": 0.9210611979166666}, {"start": 158.98, "end": 159.42, "word": " chains", "probability": 0.303955078125}, {"start": 159.42, "end": 159.64, "word": " اللي", "probability": 0.8330078125}, {"start": 159.64, "end": 159.76, "word": " لها", "probability": 0.619140625}, {"start": 159.76, "end": 160.26, "word": " expression", "probability": 0.80615234375}, {"start": 160.26, "end": 160.6, "word": " على", "probability": 0.88427734375}, {"start": 160.6, "end": 161.12, "word": " surface", "probability": 0.48876953125}, {"start": 161.12, "end": 161.52, "word": " of", "probability": 0.9384765625}, {"start": 161.52, 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168.14, "word": " lighted", "probability": 0.76513671875}, {"start": 168.14, "end": 168.32, "word": " chain", "probability": 0.88671875}, {"start": 168.32, "end": 169.04, "word": " مديلة", "probability": 0.7236328125}, {"start": 169.04, "end": 170.66, "word": " مؤقتة", "probability": 0.9261474609375}, {"start": 170.66, "end": 172.66, "word": " على", "probability": 0.470703125}, {"start": 172.66, "end": 173.04, "word": " سطح", "probability": 0.9640299479166666}, {"start": 173.04, "end": 173.74, "word": " الـ", "probability": 0.51361083984375}, {"start": 173.74, "end": 174.28, "word": " pre", "probability": 0.413330078125}, {"start": 174.28, "end": 174.58, "word": "-b", "probability": 0.4376220703125}, {"start": 174.58, "end": 175.14, "word": " cell", "probability": 0.8818359375}, {"start": 175.14, "end": 176.22, "word": " surface", "probability": 0.8212890625}, {"start": 176.22, "end": 177.88, "word": " الموت", "probability": 0.2728271484375}, {"start": 177.88, "end": 178.28, "word": " شين", "probability": 0.5411376953125}, {"start": 178.28, "end": 178.78, "word": " مع", "probability": 0.94580078125}, {"start": 178.78, "end": 179.42, "word": " السروجة", "probability": 0.8729248046875}, {"start": 179.42, "end": 179.84, "word": " lighted", "probability": 0.85693359375}, {"start": 179.84, "end": 180.22, "word": " chain", "probability": 0.85009765625}, {"start": 180.22, "end": 180.98, "word": " are", "probability": 0.638671875}, {"start": 180.98, "end": 181.6, "word": " expressed", "probability": 0.80078125}, {"start": 181.6, "end": 184.16, "word": " with", "probability": 0.85791015625}, {"start": 184.16, "end": 185.88, "word": " two", "probability": 0.8193359375}, {"start": 185.88, "end": 186.46, "word": " closely", "probability": 0.87451171875}, {"start": 186.46, "end": 187.22, "word": " associated", "probability": 0.86572265625}, {"start": 187.22, "end": 188.08, "word": " transmembrane", "probability": 0.93115234375}, {"start": 188.08, "end": 188.58, "word": " 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{"start": 199.55, "end": 199.91, "word": " يسمو", "probability": 0.9519856770833334}, {"start": 199.91, "end": 200.71, "word": " immunoglobulin", "probability": 0.974365234375}, {"start": 200.71, "end": 201.19, "word": " beta", "probability": 0.41748046875}, {"start": 201.19, "end": 201.53, "word": " أو", "probability": 0.80224609375}, {"start": 201.53, "end": 202.95, "word": " 79B", "probability": 0.6800537109375}, {"start": 202.95, "end": 203.65, "word": " and", "probability": 0.29833984375}, {"start": 203.65, "end": 203.83, "word": " they", "probability": 0.880859375}, {"start": 203.83, "end": 204.43, "word": " referred", "probability": 0.468994140625}, {"start": 204.43, "end": 204.67, "word": " to", "probability": 0.94140625}, {"start": 204.67, "end": 205.05, "word": " as", "probability": 0.90283203125}, {"start": 205.05, "end": 205.31, "word": " a", "probability": 0.7919921875}, {"start": 205.31, "end": 205.51, "word": " pre", "probability": 0.66162109375}, {"start": 205.51, 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self-antigen it's generally inactivated بس اللي هيقلش inactivity inactivation يوم ما ترتبط بيقلش ب self-antigen يا inactivation يا إما deletion وطبعا كنا بنعرف إن هذه المرحلة هي عبارة عن central tolerance ماشي بيسموا هذه المرحلة negative selection", "tokens": [28814, 15730, 23758, 2423, 39184, 34507, 34051, 29538, 33962, 1211, 10632, 13672, 1829, 15844, 8608, 9566, 5016, 11296, 19271, 44, 1975, 43500, 3555, 9566, 2655, 4724, 2698, 12, 394, 3213, 309, 311, 5101, 294, 23397, 770, 4724, 3794, 13672, 1829, 39896, 4587, 1211, 8592, 294, 23397, 507, 294, 23397, 399, 7251, 20498, 19446, 6055, 43500, 3555, 9566, 4724, 1829, 4587, 1211, 8592, 4724, 2698, 12, 394, 3213, 35186, 294, 23397, 399, 35186, 11933, 15042, 1103, 302, 313, 4032, 9566, 3555, 3615, 995, 9122, 8315, 44945, 3615, 28480, 36145, 29538, 9673, 2288, 5016, 37977, 39896, 6225, 3555, 9640, 3660, 18871, 5777, 23368, 3714, 33599, 1829, 4724, 1829, 38251, 14407, 29538, 9673, 2288, 5016, 37977, 3671, 9450], "avg_logprob": 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lymphocyte ممكن تصير anergic يعني inactivation for long period و أيضا they leave the bone marrow as anergic cell", "tokens": [6027, 9778, 1211, 10632, 13672, 7578, 8032, 7578, 2423, 257, 14442, 363, 31070, 31078, 975, 3714, 43020, 6055, 9381, 13546, 364, 260, 11577, 37495, 22653, 294, 23397, 399, 337, 938, 2896, 4032, 36632, 11242, 995, 436, 1856, 264, 9026, 47739, 382, 364, 260, 11577, 2815], "avg_logprob": -0.3552989046210828, "compression_ratio": 1.178082191780822, "no_speech_prob": 0.0, "words": [{"start": 626.0899999999999, "end": 626.81, "word": "الخلية", "probability": 0.9185791015625}, {"start": 626.81, "end": 627.53, "word": " اللى", "probability": 0.518798828125}, {"start": 627.53, "end": 627.77, "word": " هى", "probability": 0.773681640625}, {"start": 627.77, "end": 627.91, "word": " ال", "probability": 0.81005859375}, {"start": 627.91, "end": 628.05, "word": " a", "probability": 0.036651611328125}, {"start": 628.05, "end": 628.39, "word": " mature", "probability": 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specific", "probability": 0.4423828125}, {"start": 1497.99, "end": 1500.25, "word": " يعني", "probability": 0.859130859375}, {"start": 1500.25, "end": 1502.27, "word": " which", "probability": 0.5751953125}, {"start": 1502.27, "end": 1502.67, "word": " combined", "probability": 0.52685546875}, {"start": 1502.67, "end": 1502.89, "word": " to", "probability": 0.89794921875}, {"start": 1502.89, "end": 1503.45, "word": " antigen", "probability": 0.9296875}, {"start": 1503.45, "end": 1504.87, "word": " و", "probability": 0.63525390625}, {"start": 1504.87, "end": 1505.59, "word": " presented", "probability": 0.724609375}, {"start": 1505.59, "end": 1505.93, "word": " to", "probability": 0.96142578125}, {"start": 1505.93, "end": 1506.15, "word": " the", "probability": 0.7568359375}, {"start": 1506.15, "end": 1506.31, "word": " T", "probability": 0.8154296875}, {"start": 1506.31, "end": 1506.93, "word": " lymphocyte", "probability": 0.9222005208333334}, {"start": 1506.93, "end": 1507.31, 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ببتايد", "probability": 0.8376953125}], "temperature": 1.0}, {"id": 56, "seek": 153820, "start": 1514.16, "end": 1538.2, "text": "to CD4-T lymphocyte و تقبل الـ TCR عن CD4 CD40 غالبا تبقى اتماع CD40 legend اللي موجود على الـ T lymphocyte and induce antibody class switching CD80 و 86 هو بيسموها بي سبن وان بي سبن تون موليكيل", "tokens": [1353, 6743, 19, 12, 51, 31070, 31078, 975, 4032, 6055, 4587, 36150, 2423, 39184, 314, 18547, 18871, 6743, 19, 6743, 5254, 32771, 6027, 3555, 995, 6055, 3555, 4587, 7578, 1975, 2655, 15042, 3615, 6743, 5254, 9451, 13672, 1829, 3714, 29245, 23328, 15844, 2423, 39184, 314, 31070, 31078, 975, 293, 41263, 34507, 1508, 16493, 6743, 4702, 4032, 26687, 31439, 4724, 1829, 38251, 2407, 11296, 4724, 1829, 8608, 3555, 1863, 36764, 1863, 4724, 1829, 8608, 3555, 1863, 6055, 11536, 3714, 12610, 1829, 4117, 26895], "avg_logprob": -0.4427710742835539, "compression_ratio": 1.378238341968912, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1514.16, "end": 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"end": 1523.06, "word": " تبقى", "probability": 0.689727783203125}, {"start": 1523.06, "end": 1523.48, "word": " اتماع", "probability": 0.54986572265625}, {"start": 1523.48, "end": 1524.06, "word": " CD40", "probability": 0.87109375}, {"start": 1524.06, "end": 1524.6, "word": " legend", "probability": 0.463134765625}, {"start": 1524.6, "end": 1525.94, "word": " اللي", "probability": 0.730224609375}, {"start": 1525.94, "end": 1526.3, "word": " موجود", "probability": 0.9886067708333334}, {"start": 1526.3, "end": 1526.46, "word": " على", "probability": 0.7861328125}, {"start": 1526.46, "end": 1526.64, "word": " الـ", "probability": 0.576416015625}, {"start": 1526.64, "end": 1526.74, "word": " T", "probability": 0.8125}, {"start": 1526.74, "end": 1527.42, "word": " lymphocyte", "probability": 0.8795572916666666}, {"start": 1527.42, "end": 1527.58, "word": " and", "probability": 0.37548828125}, {"start": 1527.58, "end": 1529.18, "word": " induce", "probability": 0.73828125}, {"start": 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"end": 1537.34, "word": " سبن", "probability": 0.8963216145833334}, {"start": 1537.34, "end": 1537.54, "word": " تون", "probability": 0.64892578125}, {"start": 1537.54, "end": 1538.2, "word": " موليكيل", "probability": 0.70029296875}], "temperature": 1.0}, {"id": 57, "seek": 155023, "start": 1538.81, "end": 1550.23, "text": "هؤلاء هم كوستينجلاتوري موليكيول يتعامل مع ال CD28 أو ال CTLA4 موليكيول على سطح تيرينفوسايت", "tokens": [3224, 33604, 1211, 16606, 8032, 2304, 9122, 2407, 14851, 9957, 7435, 1211, 9307, 13063, 1829, 3714, 12610, 1829, 4117, 1829, 12610, 7251, 2655, 3615, 10943, 1211, 20449, 2423, 6743, 11205, 34051, 2423, 19529, 11435, 19, 3714, 12610, 1829, 4117, 1829, 12610, 15844, 8608, 9566, 5016, 6055, 13546, 9957, 5172, 41779, 995, 36081], "avg_logprob": -0.6161556423835035, "compression_ratio": 1.3083333333333333, "no_speech_prob": 0.0, "words": [{"start": 1538.81, "end": 1539.27, "word": "هؤلاء", "probability": 0.5928955078125}, {"start": 1539.27, "end": 1539.49, "word": " 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/6l-pMLFCrw8.srt b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/6l-pMLFCrw8.srt
new file mode 100644
index 0000000000000000000000000000000000000000..85ed8db22c4777b8c41d41cefe04e1726d5d7e4b
--- /dev/null
+++ b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/6l-pMLFCrw8.srt
@@ -0,0 +1,1139 @@
+1
+00:00:01,400 --> 00:00:06,900
+بسم الله الرحمن الرحيم سنتحدث اليوم إن شاء الله عن
+
+2
+00:00:06,900 --> 00:00:11,860
+الـ non-nuclear phagocytes in immune defense دورها 
+
+3
+00:00:11,860 --> 00:00:18,960
+الأساسي وماذا تعمل
+
+4
+00:00:18,960 --> 00:00:26,000
+الـ macrophage هي عبارة عن highly efficient phagocytes
+
+5
+00:00:26,000 --> 00:00:31,480
+يعني دورها الأساسي phagocytic cell بشكل أساسي وهي
+
+6
+00:00:31,480 --> 00:00:37,360
+تلعب دورًا مهمة في الـ pathogen إعلاق وإطلاق
+
+7
+00:00:37,360 --> 00:00:43,500
+وإزالة يعني كمان بتشيل كل الدبريز كل الـ cells اللي
+
+8
+00:00:43,500 --> 00:00:48,180
+ماتت من المجتمع ومش 
+
+9
+00:00:48,180 --> 00:00:51,120
+بس فيك الـ macrophage بتعبر كبير كمان في الـ cell
+
+10
+00:00:51,120 --> 00:00:55,200
+mediated immunity و recognition of an intracellular
+
+11
+00:00:55,200 --> 00:00:59,380
+pathogen وdefense against them زي الـ mycobacteria
+
+12
+00:00:59,750 --> 00:01:02,970
+من خلال تكوين ما يسمى بالـ Granuloma accumulation
+
+13
+00:01:02,970 --> 00:01:08,150
+of the site of infection and formation of the
+
+14
+00:01:08,150 --> 00:01:14,450
+granuloma الجدول التالي هيبين لنا دور كل من الـ
+
+15
+00:01:14,450 --> 00:01:18,050
+macrophage و dendritic cell in cell in immune
+
+16
+00:01:18,050 --> 00:01:25,310
+defense mechanism ونشوف من النظرة الأولى هنلاحظ أن
+
+17
+00:01:25,310 --> 00:01:30,110
+الـ Macrophage لها ست وظائف أو بتلعب في ست اتجاهات
+
+18
+00:01:30,110 --> 00:01:34,730
+مختلفة ماشي لها دور أساسي في الـ innate immunity
+
+19
+00:01:34,730 --> 00:01:39,570
+and Optical Clearance من خلال الـ Non-specific أو
+
+20
+00:01:39,570 --> 00:01:45,350
+Non-opsinic Receptor أنفاجوه سيتوسس ماشي هذه الدور
+
+21
+00:01:45,350 --> 00:01:48,970
+الأساسي كمان تلعب دور كبير في الـ acquired humoral
+
+22
+00:01:48,970 --> 00:01:53,830
+immunity ومن خلال Antibody and Complement Dependent
+
+23
+00:01:53,830 --> 00:01:58,010
+Phagocytosis and Cytotoxicity في ريسبتر على سطحها
+
+24
+00:01:58,010 --> 00:02:04,230
+لهذه العناصر لها دور كبير في الـ inflammation and
+
+25
+00:02:04,230 --> 00:02:11,030
+repair and tissue injury من خلال certain mediators
+
+26
+00:02:12,180 --> 00:02:17,140
+At of local and systemic response So one can يعني
+
+27
+00:02:17,140 --> 00:02:21,460
+at site of infection or at distance اللي هدول
+
+28
+00:02:21,460 --> 00:02:25,380
+أساسي في الـ acquired immunity من خلال antigen
+
+29
+00:02:25,380 --> 00:02:31,200
+processing and presentation وطبعاترتيبها للـ
+
+30
+00:02:31,200 --> 00:02:35,400
+Dendritic cell ثم للميكروفيرج أيضًا لها دور في الـ
+
+31
+00:02:35,400 --> 00:02:38,820
+Acquired Cellular Immunity من خلال الـ Activation
+
+32
+00:02:38,820 --> 00:02:44,020
+Activation of Macrophage Effector Mechanism By الـ
+
+33
+00:02:44,020 --> 00:02:49,720
+NK and T Cell و هذا ميكانزم حكينا فيه سابقًا ثم
+
+34
+00:02:49,720 --> 00:02:56,320
+أيضًا لها دور في الـ Immunosuppression من خلال الـ
+
+35
+00:02:56,320 --> 00:03:03,960
+Tolerance Versus Auto-immunity هذه الأدوار كثيرة
+
+36
+00:03:03,960 --> 00:03:12,560
+ومهمة جدًا في الـ Immune Defense قسموهم
+
+37
+00:03:12,560 --> 00:03:21,880
+إلى two populations جالو في Resident or
+
+38
+00:03:21,880 --> 00:03:26,640
+stationary macrophage بمعنى انها جاعدة في organs
+
+39
+00:03:26,640 --> 00:03:27,540
+مثابتة
+
+40
+00:03:30,110 --> 00:03:33,690
+حاجة تدخل على هذا الـ organs دورها الأساسي انها
+
+41
+00:03:33,690 --> 00:03:39,790
+تخلصنا منه وفي اللي هو circulatory macrophage أو
+
+42
+00:03:39,790 --> 00:03:42,990
+ما تسمى الـ recruited macrophage اللي بنادي عليها
+
+43
+00:03:42,990 --> 00:03:46,610
+at site of infection جدول هذا تبين ان الـ resident
+
+44
+00:03:46,610 --> 00:03:51,010
+tissue macrophage population اسمها في العضاء
+
+45
+00:03:51,010 --> 00:03:55,850
+المختلفة من الجسم ووظيفتها أيضا يعني على سبيل
+
+46
+00:03:55,850 --> 00:03:59,030
+المثال في الـ bone marrow في stromal macrophage شو دورها؟
+
+47
+00:03:59,320 --> 00:04:02,920
+يجب أن تتعامل مع بيانات الهيموبياتيكية و تحرر
+
+48
+00:04:02,920 --> 00:04:10,560
+النيوكليات النيوكليات تبع الـ RBCs في الـ liver كوفر
+
+49
+00:04:10,560 --> 00:04:15,180
+تعمل تفريق بيانات و كومبليكسيه من الدم في الـ spleen
+
+50
+00:04:15,180 --> 00:04:18,660
+موجودة في الـ red polyps و في الـ white polyps و
+
+51
+00:04:18,660 --> 00:04:25,930
+أيضًا تعمل تفريق لسنسنت و أبوبتك بيانات وهكذا في كل
+
+52
+00:04:25,930 --> 00:04:30,050
+عضو من الأعضاء اللي هي اسم معين and it's distinct
+
+53
+00:04:30,050 --> 00:04:35,590
+wished from other اللي هي specific phenotypic
+
+54
+00:04:35,590 --> 00:04:42,830
+appearance بتختلف من عضو إلى عضو الـ macrophage
+
+55
+00:04:42,830 --> 00:04:46,990
+أيضًا can regulate وزي ما أنتم شايفين فيه أكثر من
+
+56
+00:04:46,990 --> 00:04:51,960
+signal can activate فيه اللي هو الـ macrophage على
+
+57
+00:04:51,960 --> 00:04:55,860
+سبيل المثال الـ Hypoxia-Inducible Factor اللي هي الـ Hypoxia
+
+58
+00:04:55,860 --> 00:04:57,480
+Inducible Factor اللي هي الـ Hypoxia Inducible Factor اللي هي
+
+59
+00:04:57,480 --> 00:04:57,880
+الـ Hypoxia Inducible Factor اللي هي الـ Hypoxia Inducible 
+
+60
+00:04:57,880 --> 00:04:59,040
+Factor اللي هي الـ Hypoxia Inducible Factor اللي هي الـ Hypoxia
+
+61
+00:04:59,040 --> 00:04:59,860
+Inducible Factor اللي هي الـ Hypoxia Inducible Factor اللي هي الـ Hypoxia
+
+62
+00:04:59,860 --> 00:05:00,540
+Inducible Factor اللي هي الـ Hypoxia Inducible Factor اللي هي الـ
+
+63
+00:05:00,540 --> 00:05:03,620
+Hypoxia Inducible Factor اللي هي الـ Hypoxia Inducible Factor
+
+64
+00:05:03,620 --> 00:05:09,480
+اللي هي الـ Hypoxia Inducible Factor أيضًا يمكن تفعيله
+
+65
+00:05:09,480 --> 00:05:14,960
+باستخدام إفعلات الـ cytokine تمر نكروسيس جاما
+
+66
+00:05:14,960 --> 00:05:19,680
+انترفيروم تم إطلاقه من تمر تهيبر 1 وهو يمكن تفعيله
+
+67
+00:05:19,680 --> 00:05:24,020
+أيضًا في الـ macrophage ومن ثم كيسيل وبالتالي يبتدع
+
+68
+00:05:24,020 --> 00:05:30,460
+عبدالكبير في الـ pro-inflammatory mediator وفي
+
+69
+00:05:30,460 --> 00:05:34,380
+الـ cell mediated immunity من خلال تنشيط أو ما يسمى
+
+70
+00:05:34,380 --> 00:05:38,210
+بالجرانيولوما اللي توقع حكينا عنه التخلص من تجارب
+
+71
+00:05:38,210 --> 00:05:44,170
+الـ Hypersensitivity أيضًا الـ Monocytes يمكن أن
+
+72
+00:05:44,170 --> 00:05:49,690
+يكونوا مفعولين من خلال تحسين الاختصاص الخاص بـ MHC
+
+73
+00:05:49,690 --> 00:05:54,150
+Class 2 وبالتالي يتحسن الـ antigen presentation أيضًا
+
+74
+00:05:54,150 --> 00:05:58,450
+يمكن أن يتحسن الـ endocytosis من خلال هذه التقنية
+
+75
+00:05:58,450 --> 00:06:04,270
+أو من خلال هذه التقنية وإن كانت هذه التقنية فقط
+
+76
+00:06:04,270 --> 00:06:09,230
+مستخدمة الـ endocytosis إنما الـ killing process is
+
+77
+00:06:09,230 --> 00:06:13,550
+not efficient بهذا التقنيق أو بهذا الـ procedure
+
+78
+00:06:13,550 --> 00:06:17,050
+الوجه
+
+79
+00:06:17,050 --> 00:06:22,070
+الآخر أو الثالث للـ macrophage انه can induce anti
+
+80
+00:06:22,070 --> 00:06:25,070
+inflammatory response by releasing certain
+
+81
+00:06:25,070 --> 00:06:31,410
+cytokine زي الـ IL-10 ده هو which can induce the
+
+82
+00:06:31,410 --> 00:06:33,570
+secretion of transforming growth factor beta
+
+83
+00:06:34,640 --> 00:06:38,880
+وبالتالي بتشتغل بتصير Deactivated Macrophage
+
+84
+00:06:38,880 --> 00:06:47,700
+وبالتالي it's an anti-inflammatory response يبدأ
+
+85
+00:06:47,700 --> 00:06:51,280
+مرات بـ pro-inflammatory a release of certain
+
+86
+00:06:51,280 --> 00:06:52,180
+mediators
+
+87
+00:06:54,980 --> 00:06:59,640
+بدور أساسي كمان بتلعب دور كبير كـ Anti-inflammatory
+
+88
+00:06:59,640 --> 00:07:05,340
+و it can be alternatively activated من خلال اللي
+
+89
+00:07:05,340 --> 00:07:09,020
+هو الـ endocytosis process اللي can be induced
+
+90
+00:07:09,020 --> 00:07:12,460
+which وبالتالي بنقدر نقول ان الـ signals from
+
+91
+00:07:12,460 --> 00:07:16,580
+microbial products or phytocytosis and cytokine
+
+92
+00:07:16,580 --> 00:07:23,220
+كلها بتأدي إلى اللي هو أوجه مختلفة لـ Macrophage
+
+93
+00:07:23,220 --> 00:07:28,540
+وتنشيطات مختلفة لـ Macrophage ودور أساسي في مواقع
+
+94
+00:07:28,540 --> 00:07:33,380
+مختلفة ما هي الـ Secretory Products which are
+
+95
+00:07:33,380 --> 00:07:37,460
+released from Macrophage؟ وهذا جدول بيبين أنها
+
+96
+00:07:37,460 --> 00:07:42,700
+Different Secretory Product تنتج من الـ Macrophage
+
+97
+00:07:42,700 --> 00:07:45,760
+فأول واحد هو اللي هو Molecular Weight Metabolites
+
+98
+00:07:45,760 --> 00:07:50,280
+زي كل Reactive Oxygen و Nitrogen و Nitrogen و
+
+99
+00:07:50,280 --> 00:07:50,400
+Nitrogen و Nitrogen و Nitrogen و Nitrogen و
+
+100
+00:07:50,400 --> 00:07:51,660
+Nitrogen و Nitrogen و Nitrogen و Nitrogen و
+
+101
+00:07:51,660 --> 00:07:54,160
+Nitrogen و Nitrogen و Nitrogen و Nitrogen و
+
+102
+00:07:54,160 --> 00:07:58,260
+Nitrogen و Nitrogen و Nitrogen و Nitrogen و
+
+103
+00:07:58,260 --> 00:08:03,640
+Nitrogen و Nitrogen و Nitrogen و Nitrogen و
+
+104
+00:08:03,640 --> 00:08:03,900
+Nitrogen و Nitrogen و Nitrogen و Nitrogen و
+
+105
+00:08:03,900 --> 00:08:08,820
+Nitrogen و Nitrogen و Nitrogen و Nitrogen و
+
+106
+00:08:08,820 --> 00:08:14,760
+Nitrogen و Nitrogen و
+
+107
+00:08:14,760 --> 00:08:18,260
+Nitrogen من الـ cytokine سواء كانت stimulatory أو
+
+108
+00:08:18,260 --> 00:08:20,640
+inhibitory زي الـ transforming growth factor beta
+
+109
+00:08:20,640 --> 00:08:28,320
+أيضًا it can release certain chemokine زي اللي هو
+
+110
+00:08:28,320 --> 00:08:36,660
+CCL2 و 3 أو 4 أو 5 أو 8 كلهم لهم دور كبير كاللي هو
+
+111
+00:08:36,660 --> 00:08:42,370
+اللي هو الـ receptors في مواقع مختلفة أدهيجي
+
+112
+00:08:42,370 --> 00:08:46,250
+الـ molecules الفابرينكتراترومبسبردين وده بلعب دور
+
+113
+00:08:46,250 --> 00:08:48,730
+كبير في الـ optimization Matrix adhesion في
+
+114
+00:08:48,730 --> 00:08:54,870
+الـ phagocytosis في الـ Phagocytic cells complement بتنتج
+
+115
+00:08:54,870 --> 00:09:02,430
+كل الـ complement أشهرها C3 وبتلعب دور كبير كـ local
+
+116
+00:09:02,430 --> 00:09:07,810
+optimizer Procoagulant بتنتج الـ Tissue factor هذا
+
+117
+00:09:07,810 --> 00:09:10,170
+عبارة عن plotting cascade
+
+118
+00:09:14,570 --> 00:09:19,290
+factor و أيضًا تفرز إنزيم مثل Lysosome ,
+
+119
+00:09:19,290 --> 00:09:23,190
+Elastase, Collagenase, Urokinase كلهم بيلعبوا دور
+
+120
+00:09:23,190 --> 00:09:28,550
+كبير كـ Gram Positive Bacterial Lysis Lysosome و
+
+121
+00:09:28,550 --> 00:09:34,070
+Urokinase مثل Fibrinolysis وهكذا طيب
+
+122
+00:09:34,070 --> 00:09:39,160
+نجي نأكد هذا الكلام من خلال الكتابة Macrophage,
+
+123
+00:09:39,260 --> 00:09:42,220
+Myeloid, Dendritic Cells and Osteoclast كلهم
+
+124
+00:09:42,220 --> 00:09:48,740
+بيطلعوا من الـ bone marrow Monocytes كلهم ماشي ممكن تفرشهم
+
+125
+00:09:48,740 --> 00:09:53,000
+من المشاركة للـ Monocytes لو تحكينا ان في resident
+
+126
+00:09:53,000 --> 00:09:55,960
+macrophages اللي which are widely distributed
+
+127
+00:09:55,960 --> 00:09:59,120
+throughout the body و they are phenotypically
+
+128
+00:09:59,120 --> 00:10:03,050
+distinct populations يعني بيختلفوا باختلاف المنطقة 
+
+129
+00:10:03,050 --> 00:10:08,550
+within the different zones of spleen, lymph nodes
+
+130
+00:10:08,550 --> 00:10:14,250
+or whatever the organ is. Resident macrophage and
+
+131
+00:10:14,250 --> 00:10:19,530
+recruited macrophage respond according to locally
+
+132
+00:10:19,530 --> 00:10:23,370
+produced cytokine حسب ال cytokine المصلة فعلى سبيل 
+
+133
+00:10:23,370 --> 00:10:30,800
+المثال QTL-1 Secret Gamma Interferon بإمكانها تحسن
+
+134
+00:10:30,800 --> 00:10:34,200
+الالتهابات inflammatory والانتي مايكروبيا والاكتفاة وشفناها في
+
+135
+00:10:34,200 --> 00:10:40,880
+الفجر اللي فات دي ال باب تو أيضا induce الاختلاف
+
+136
+00:10:40,880 --> 00:10:42,660
+الاختلاف الاختلاف الاختلاف الاختلاف الاختلاف
+
+137
+00:10:42,660 --> 00:10:46,520
+الاختلاف الاختلاف الاختلاف الاختلاف الاختلاف
+
+138
+00:10:46,520 --> 00:10:51,440
+الاختلاف الاختلاف
+
+139
+00:10:51,440 --> 00:10:53,720
+الاختلاف الاختلاف الاختلاف الاختلاف الاختلاف
+
+140
+00:10:53,720 --> 00:10:54,260
+الاختلاف الاختلاف الاختلاف الاختلاف الاختلاف
+
+141
+00:10:54,260 --> 00:10:54,280
+الاختلاف الاختلاف الاختلاف الاختلاف الاختلاف
+
+142
+00:10:54,280 --> 00:10:58,140
+الاختلاف الاختلاف الاختلاف induction وندوز
+
+143
+00:10:58,140 --> 00:11:03,440
+anti-inflammatory action من خلال هو secretion of أو
+
+144
+00:11:03,440 --> 00:11:10,040
+inducing its inhibitory effects. Resident macrophage
+
+145
+00:11:10,040 --> 00:11:14,760
+clear apoptotic cells من خلال زي ما قلنا اللي هو
+
+146
+00:11:14,760 --> 00:11:21,160
+certain adhesion molecules و adhesion receptors
+
+147
+00:11:21,160 --> 00:11:24,520
+فبتعمل زي ال vitronectin receptors فبتعمل
+
+148
+00:11:24,520 --> 00:11:30,640
+endocytosis وزي ما قلنا ال killing activity is not
+
+149
+00:11:30,640 --> 00:11:37,070
+efficient بهذا الميكانزم ال macrophage أيضًا
+
+150
+00:11:37,070 --> 00:11:40,150
+Internalized pathogen using a variety of specific
+
+151
+00:11:40,150 --> 00:11:44,010
+and opsonic receptors. من هذه الريسبتور هي ال
+
+152
+00:11:44,010 --> 00:11:46,530
+LPS receptor  the-dolyric receptor
+
+153
+00:11:46,530 --> 00:11:50,250
+المانوز receptor  the-Fc receptor the complement receptor
+
+154
+00:11:50,250 --> 00:11:55,350
+1 و 3 و 4 complement component يعني
+
+155
+00:11:55,350 --> 00:12:00,650
+لها different receptors على سطحها تخيلوا قداش تعداد
+
+156
+00:12:00,650 --> 00:12:06,310
+هذه الريسبتور activation macrophage أيضًا تخلص من
+
+157
+00:12:06,310 --> 00:12:11,370
+cytokine and enzyme أو complement system molecules و
+
+158
+00:12:11,370 --> 00:12:16,310
+prostaglandin molecules وهذا شفناه في الجدول السابق
+
+159
+00:12:16,310 --> 00:12:22,170
+activation macrophage ينتج oxygen radicals و nitrogen
+
+160
+00:12:22,170 --> 00:12:28,870
+intermediates هؤلاء مخلصان جدًا لإندوستوز بكتيريا وفنجاى
+
+161
+00:12:29,550 --> 00:12:34,730
+وأيضًا شفناها في الجدول. Recently recruited cells
+
+162
+00:12:34,730 --> 00:12:41,570
+are most effective at antimicrobial killing بينما
+
+163
+00:12:41,570 --> 00:12:46,270
+ال resting macrophages have only limited killing
+
+164
+00:12:46,270 --> 00:12:50,430
+activity طبيعي اللي بتحرك نشاطه هيكون أكتر من اللي
+
+165
+00:12:50,430 --> 00:12:58,550
+عايش من اللي قاعدة. هذا ما يتعلق بالـ macrophage بتطلق
+
+166
+00:12:58,550 --> 00:13:03,650
+إلى other cytotoxic cells. Cell-mediated
+
+167
+00:13:03,650 --> 00:13:08,150
+cytotoxicity is an essential defense mechanism ليش
+
+168
+00:13:08,150 --> 00:13:10,690
+الـ intracellular pathogen بما فيها الويروس
+
+169
+00:13:10,690 --> 00:13:15,990
+بكتيريا parasites and tumor cells كلها بتلعب دور
+
+170
+00:13:15,990 --> 00:13:20,230
+كبير. They can become cytotoxic or target for 
+
+171
+00:13:20,230 --> 00:13:24,700
+cytotoxic cells. The process is important in the
+
+172
+00:13:24,700 --> 00:13:27,940
+destruction of allogenic tissue graft. دور 
+
+173
+00:13:27,940 --> 00:13:33,480
+cytotoxic cells في هذا الموضوع حيث هو الأساسي. This
+
+174
+00:13:33,480 --> 00:13:37,880
+activity is executed by several types of cells
+
+175
+00:13:37,880 --> 00:13:43,760
+منها فيها cytotoxic T cell و ال NK cell و بعض مرات
+
+176
+00:13:43,760 --> 00:13:49,200
+ال myeloid cells. يبقى ال major cells التي يمكن أن
+
+177
+00:13:49,200 --> 00:13:52,640
+تستخدم مصادر مدعومة لـ Cytotoxicity وبيسموها
+
+178
+00:13:52,640 --> 00:13:57,480
+Cytotoxic Cells هي الـ T-Cytotoxic و الـ NK Cell
+
+179
+00:13:57,480 --> 00:14:03,460
+بشكل أساسي يعني الـ T-Cytotoxic Cell دي ايه الـ T
+
+180
+00:14:03,460 --> 00:14:06,480
+-Cytotoxic Cell؟ كان recognize antigen التي بتاعت
+
+181
+00:14:06,480 --> 00:14:10,580
+presented on MHC Class I. مش بتقدملها الانتجن مرتبط
+
+182
+00:14:10,580 --> 00:14:15,190
+ب MHC Class I molecules. بينما الـ NK cell react
+
+183
+00:14:15,190 --> 00:14:18,490
+against cells which do not express MHC class I
+
+184
+00:14:18,490 --> 00:14:23,610
+شوفوا الفارق في الميكانيزم واحدة بتتعرف على MHC
+
+185
+00:14:23,610 --> 00:14:27,710
+class I molecules وواحدة بتتعرف على ال presence of
+
+186
+00:14:27,710 --> 00:14:31,930
+MHC class I molecules. وجوده تايتر وغيره. They can
+
+187
+00:14:31,930 --> 00:14:35,710
+interact with these cells using a variety of
+
+188
+00:14:35,710 --> 00:14:40,990
+receptors. وشوفنا ميكانيزم الـ NK cell في محاضرة
+
+189
+00:14:40,990 --> 00:14:48,050
+سابقة. طيب كيف يحدث الـ cytotoxicity؟ قالوا عناصر
+
+190
+00:14:48,050 --> 00:14:51,850
+الـ cytotoxicity. نمرة واحد اللي هو cell to cell
+
+191
+00:14:51,850 --> 00:14:54,630
+interaction. لازم يحصل فيه cell to cell contact
+
+192
+00:14:54,630 --> 00:14:59,410
+نمرة اتنين cytokine release ونمرة تلاتة granule
+
+193
+00:14:59,410 --> 00:15:04,070
+release. ماشي يحصل فيه اللي هو الـ lytic-heat
+
+194
+00:15:04,070 --> 00:15:09,860
+degranulation في آخر الحاجة. ميكانيزم آخر أيضًا can
+
+195
+00:15:09,860 --> 00:15:13,140
+be included و هو الـ Fas-Ligand Anti-Human
+
+196
+00:15:13,140 --> 00:15:18,000
+Necrosis Factor. These can signal apoptosis to the
+
+197
+00:15:18,000 --> 00:15:20,900
+target cell. نحن نعرف الـ Fas هو عبارة عن death
+
+198
+00:15:20,900 --> 00:15:27,840
+receptor أو الـ Fas-Ligand و بالتالي can induce
+
+199
+00:15:27,840 --> 00:15:33,390
+apoptosis to the cell. أيضًا من أدوات القتل الـ
+
+200
+00:15:33,390 --> 00:15:37,070
+Granules زي الـ Perforin والـ Granzyme تدفع إلى
+
+201
+00:15:37,070 --> 00:15:42,990
+تهيئة أدوات الأدوات التي تستخدمها الـ cell الـ
+
+202
+00:15:42,990 --> 00:15:48,290
+cytotoxic cells هي من شروطها cell to cell contact،
+
+203
+00:15:48,290 --> 00:15:52,000
+release of cytokine، release of granules. أيضًا
+
+204
+00:15:52,000 --> 00:15:55,760
+أسلوب آخر للقتل من خلال الـ Death Receptor وهو الـ
+
+205
+00:15:55,760 --> 00:16:02,260
+Fas-Ligand and Tumor Necrosis Factor Signal و
+
+206
+00:16:02,260 --> 00:16:06,860
+الأخير والـ Granules من خلال الـ Release أو الـ
+
+207
+00:16:06,860 --> 00:16:10,640
+perforin of the enzyme اللي بيعملوا أيضًا تشو
+
+208
+00:16:10,640 --> 00:16:19,120
+أو Cell Damage. اتفقنا على أن الفاس يتم تفكيره على
+
+209
+00:16:19,120 --> 00:16:22,260
+ميكروسفاكتوريسيبتر على الـ target cell بيؤدي
+
+210
+00:16:22,260 --> 00:16:25,580
+للاكتفاء من caspases والكاسا بيسيس هي عبارة عن
+
+211
+00:16:25,580 --> 00:16:30,680
+مجموعة من الإنزيمات التي تتعامل بالتعبير على
+
+212
+00:16:30,680 --> 00:16:34,360
+أبوبتوسس
+
+213
+00:16:34,360 --> 00:16:40,040
+والجدول القادم بيبين لنا أو الصورة القادمة في جرح
+
+214
+00:16:40,040 --> 00:16:45,460
+الإتقاط بيُبين لنا اللي هو ال interaction between T
+
+215
+00:16:45,460 --> 00:16:48,880
+-cytotoxic and their target cell وطبعا هذا ال
+
+216
+00:16:48,880 --> 00:16:52,380
+interaction حكينا فيه سابقا زي ما انتوا شايفين هي
+
+217
+00:16:52,380 --> 00:16:57,120
+T-cytotoxic lymphocytes وهي ال target cell. T
+
+218
+00:16:57,120 --> 00:17:02,790
+-cytotoxic أول تحتاج إلى أكثر من هاشمن signal to
+
+219
+00:17:02,790 --> 00:17:07,470
+be activated. فاول واحدة TCR بتبين ال antigen اللي
+
+220
+00:17:07,470 --> 00:17:12,810
+ممسوك بال MHC class I molecules وبيجي ال coreceptor
+
+221
+00:17:12,810 --> 00:17:18,890
+اللي هو CD8 بيرتبط بال MHC class I molecules وهذه
+
+222
+00:17:18,890 --> 00:17:25,530
+بتسميها اللي هو ال first signal لكنها تحتاج إلى
+
+223
+00:17:25,530 --> 00:17:34,370
+other signals. ماشي منها اللي هو CD2 برتبط بال
+
+224
+00:17:34,370 --> 00:17:40,210
+leukocyte function-associated antigen 3 و leukocyte
+
+225
+00:17:40,210 --> 00:17:43,450
+function-associated antigen 1 على cytotoxic T lymphocyte
+
+226
+00:17:43,450 --> 00:17:46,950
+برتبط بال ICAM-1 وال ICAM-1 هو عبارة عن
+
+227
+00:17:46,950 --> 00:17:53,320
+intercellular Adhesion molecule number 1 فبتقوى
+
+228
+00:17:53,320 --> 00:17:58,940
+الرابطة بيصير فيه ايش في activation and cytotoxic
+
+229
+00:17:58,940 --> 00:18:03,740
+activity. Activation
+
+230
+00:18:03,740 --> 00:18:05,960
+and
+
+231
+00:18:07,470 --> 00:18:11,830
+Target Cell Killing By CD8-T Cytotoxic Cell. حكينا
+
+232
+00:18:11,830 --> 00:18:17,650
+فيها في الـ B Cell Activity Lecture و أيضًا كيفية
+
+233
+00:18:17,650 --> 00:18:22,410
+اللي هو Fas Fas ligand activity هي زي ما قلنا CD4
+
+234
+00:18:22,410 --> 00:18:31,650
+-T Cell بتستخدم CD95 وهو عبارة عن Fas مع ال CD178
+
+235
+00:18:31,650 --> 00:18:36,490
+و اللي موجود على ال
+
+236
+00:18:38,320 --> 00:18:42,240
+بـ Target Cell وبالتالي بيصير فيه أيضًا Fas Fas
+
+237
+00:18:42,240 --> 00:18:51,020
+-Ligand Activity و Killing Mechanism. نحكي
+
+238
+00:18:51,020 --> 00:18:54,500
+على الان على الـ Non-Lymphoid Cytotoxic Effects
+
+239
+00:18:54,500 --> 00:18:59,220
+خلايا غير لنفوية. يعني أن الـ Macrophages
+
+240
+00:18:59,220 --> 00:19:02,920
+Macrophages can damage target using their non
+
+241
+00:19:02,920 --> 00:19:08,160
+-specific toxic effects or systems and via via
+
+242
+00:19:08,160 --> 00:19:16,460
+cytokine. وفيما عدد من الـ non lymphoid cytotoxic
+
+243
+00:19:16,460 --> 00:19:21,540
+cells which can invade microorganism زي البكتيريا
+
+244
+00:19:21,540 --> 00:19:28,460
+و البراسيز. Cytotoxicity أيضًا ممكن تصير من خلال الـ
+
+245
+00:19:28,460 --> 00:19:32,440
+Antibody Dependent Cell-mediated Cytotoxicity
+
+246
+00:19:32,440 --> 00:19:39,480
+ميكانيزم اللي يتعامل مع مدينة تكسيك غير محدودة
+
+247
+00:19:43,160 --> 00:19:46,140
+أيضًا من خلال الارتباط اللي هو الـ macrophage و
+
+248
+00:19:46,140 --> 00:19:48,680
+النيتروفيل، these are phagocytic cells اللي لهم
+
+249
+00:19:48,680 --> 00:19:53,560
+receptors لل-Fc portion of IgG على سطحهم، فعلى
+
+250
+00:19:53,560 --> 00:19:56,980
+سبيل المثال، التنتينة دول اللي لهم receptors لل-Fc 
+
+251
+00:19:56,980 --> 00:20:00,300
+Fc gamma receptor 1 والـFc gamma receptor
+
+252
+00:20:00,300 --> 00:20:06,040
+2، وده بيمكنهم من الارتباط بالtumor 
+
+253
+00:20:06,040 --> 00:20:10,100
+cell بالـantigen and induce ADCC
+
+254
+00:20:12,640 --> 00:20:16,740
+ميكروفاجيا النيتروفيل تهيأ لإدمار الوضع بإدخاله
+
+255
+00:20:16,740 --> 00:20:20,320
+للداخلية للجسم ومن خلال ذلك يتم إدخاله للداخلية
+
+256
+00:20:20,320 --> 00:20:22,840
+للجسم و يتم إدخاله للداخلية للجسم و يتم إدخاله 
+
+257
+00:20:22,840 --> 00:20:24,460
+للداخلية للجسم و يتم إدخاله للداخلية للجسم و يتم
+
+258
+00:20:24,460 --> 00:20:25,300
+إدخاله للداخلية للجسم و يتم إدخاله للداخلية للجسم
+
+259
+00:20:25,300 --> 00:20:28,140
+و يتم إدخاله للداخلية للجسم و يتم إدخاله للداخلية
+
+260
+00:20:28,140 --> 00:20:31,080
+للجسم و يتم إدخاله للداخلية للجسم و يتم إدخاله
+
+261
+00:20:31,080 --> 00:20:38,400
+للداخلية للجسم و يتم إدخاله للداخلية للجسم و
+
+262
+00:20:38,400 --> 00:20:42,510
+يتمأيضا ماكروفيرس يجعل للمخلوق اللي يسمّى human
+
+263
+00:20:42,510 --> 00:20:50,030
+necrosis factor ممكن أن يدعم apoptosis وأيضا
+
+264
+00:20:50,030 --> 00:20:56,810
+الفيجر الأتي بيبين لي ال mechanism that may
+
+265
+00:20:56,810 --> 00:21:00,330
+contribute to the cytotoxicity of myeloid cells
+
+266
+00:21:00,330 --> 00:21:04,930
+شوفوا إيش اللي بيصير بطلع reactive oxygen species
+
+267
+00:21:04,930 --> 00:21:08,710
+ماشي بطلع
+
+268
+00:21:10,040 --> 00:21:19,600
+reactive nitrogen species بيطلع c3a receptor sorry
+
+269
+00:21:19,600 --> 00:21:25,120
+c3a component وطبعا هذه اللي هدور في ال
+
+270
+00:21:25,120 --> 00:21:31,260
+recruitment of other cells superoxide anion,
+
+271
+00:21:31,400 --> 00:21:34,740
+reactive intermediate, nitric oxide, human
+
+272
+00:21:34,740 --> 00:21:40,050
+interest factor alpha كلهم هدول بيطلعوا ماشيالذي
+
+273
+00:21:40,050 --> 00:21:43,390
+يتم إطلاقه من جسد الميليويد ويمكنه تدمير الجسد
+
+274
+00:21:43,390 --> 00:21:48,590
+المهاجر بالإضافة إلى سيتوكاين ميدياتيال التحكي
+
+275
+00:21:48,590 --> 00:21:53,550
+الادينفيل أيضًا ليس لينفويد
+
+276
+00:21:56,710 --> 00:22:03,490
+بتعمل تعمل تعمل تعمل تعمل تعمل
+
+277
+00:22:03,490 --> 00:22:11,850
+تعمل تعمل تعمل تعمل تعمل
+
+278
+00:22:15,110 --> 00:22:20,230
+الجراميوس تحتوي على التالي تحتوي على بروتين أساسي
+
+279
+00:22:20,230 --> 00:22:24,870
+كبير يمكن أن يقتل الحيوانات eosinophil peroxidase
+
+280
+00:22:24,870 --> 00:22:31,050
+وهو قاتل قوى للحيوانات بإكسيد الهالايد لإنتاج
+
+281
+00:22:31,050 --> 00:22:37,570
+hypohalide وإيزينوفيل كاتيانيك بروتين وهو قادر على
+
+282
+00:22:37,570 --> 00:22:43,310
+قتل الحيوانات مثل الشيستوسوما يمكن أن نكون
+
+283
+00:22:43,310 --> 00:22:51,190
+استعرضناالـ Mononuclear phagocytic cell و الـ
+
+284
+00:22:51,190 --> 00:23:02,330
+cytotoxic effect induced by these cells أشكر
+
+285
+00:23:02,330 --> 00:23:03,470
+لكم استماعكم
diff --git a/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/6l-pMLFCrw8_postprocess.srt b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/6l-pMLFCrw8_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..6d87697833b1c0dc6306e35e0a7cd422cc56361f
--- /dev/null
+++ b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/6l-pMLFCrw8_postprocess.srt
@@ -0,0 +1,1140 @@
+1
+00:00:01,400 --> 00:00:06,900
+بسم الله الرحمن الرحيم سنتحدث اليوم ان شاء الله عن
+
+2
+00:00:06,900 --> 00:00:11,860
+ال non-nuclear phagocytes in immune defense دورها
+
+3
+00:00:11,860 --> 00:00:18,960
+الأساسي وماذا تعمل
+
+4
+00:00:18,960 --> 00:00:26,000
+microphage هي عبارة عن highly efficient phagocytes
+
+5
+00:00:26,000 --> 00:00:31,480
+يعني دورها الأساسي phagocytic cell بشكل أساسيوهي
+
+6
+00:00:31,480 --> 00:00:37,360
+تلعب رولة مهمة في الـ pathogen إعلاق وإطلاق
+
+7
+00:00:37,360 --> 00:00:43,500
+وإزالة يعني كمان بتشيل كل الدبريز كل الcells اللي
+
+8
+00:00:43,500 --> 00:00:48,180
+ماتت من المجتمع ومش
+
+9
+00:00:48,180 --> 00:00:51,120
+بس فيك ال macrophage بتعبر كبير كمان في ال cell
+
+10
+00:00:51,120 --> 00:00:55,200
+mediated immunity و recognition of a intracellular
+
+11
+00:00:55,200 --> 00:00:59,380
+pathogen وdefense against them زي ال mycobacteria
+
+12
+00:00:59,750 --> 00:01:02,970
+من خلال تكوين ما يسمى بالـ Granuloma accumulation
+
+13
+00:01:02,970 --> 00:01:08,150
+of the site of infection and formation of the
+
+14
+00:01:08,150 --> 00:01:14,450
+granuloma الجدول التالي هيبين لنا دور كل من ال
+
+15
+00:01:14,450 --> 00:01:18,050
+macrophage وdendritic cell in cell in immune
+
+16
+00:01:18,050 --> 00:01:25,310
+defense mechanism ونشوف من النظرة الأولىهنلاحظ أن
+
+17
+00:01:25,310 --> 00:01:30,110
+الـ Macrophage لها ست وظائف أو بتلعب في ست اتجاهات
+
+18
+00:01:30,110 --> 00:01:34,730
+مختلفة ماشي لها دور أساسي في ال innate immunity
+
+19
+00:01:34,730 --> 00:01:39,570
+and Optical Clearance من خلال الـ Non-specific أو
+
+20
+00:01:39,570 --> 00:01:45,350
+Non-opsinic Receptor أنفاجوه سيتوسس ماشي هذه الدور
+
+21
+00:01:45,350 --> 00:01:48,970
+الأساسي كمان تلعب دور كبير في ال acquired humoral
+
+22
+00:01:48,970 --> 00:01:53,830
+immunityومن خلال Antibody and Complement Dependent
+
+23
+00:01:53,830 --> 00:01:58,010
+Phagocytosis and Cytotoxicity في ريسبتر على سطحها
+
+24
+00:01:58,010 --> 00:02:04,230
+لهذه العناصر لها دور كبير في ال inflammation and
+
+25
+00:02:04,230 --> 00:02:11,030
+repair and tissue injury من خلال certain mediators
+
+26
+00:02:12,180 --> 00:02:17,140
+At of local and systemic response So one can يعني
+
+27
+00:02:17,140 --> 00:02:21,460
+at site of infection or at distance اللي هدول
+
+28
+00:02:21,460 --> 00:02:25,380
+أساسي في ال acquired immunity من خلال antigen
+
+29
+00:02:25,380 --> 00:02:31,200
+processing and presentation وطبعاترتيبها للـ
+
+30
+00:02:31,200 --> 00:02:35,400
+Dentatexel ثم للميكروفيرج أيضًا لها دور في الـ
+
+31
+00:02:35,400 --> 00:02:38,820
+Acquired Cellular Immunity من خلال الـ Activation
+
+32
+00:02:38,820 --> 00:02:44,020
+Activation of Microphage Effector Mechanism By الـ
+
+33
+00:02:44,020 --> 00:02:49,720
+NK and T Cell و هذا ميكانزم حكينا فيه سابقًا ثم
+
+34
+00:02:49,720 --> 00:02:56,320
+أيضًا لها دور في ال Immunosuppression من خلال الـ
+
+35
+00:02:56,320 --> 00:03:03,960
+Tolerance VersusAuto-immunity هذه الأدوار كثيرة
+
+36
+00:03:03,960 --> 00:03:12,560
+ومهمة جدا في الـ Immune Defense قسموهم
+
+37
+00:03:12,560 --> 00:03:21,880
+إلى two populations جالو في Resident or
+
+38
+00:03:21,880 --> 00:03:26,640
+stationary macrophage بمعنى انها جاعدة في organs
+
+39
+00:03:26,640 --> 00:03:27,540
+مثابتة
+
+40
+00:03:30,110 --> 00:03:33,690
+حاجة تدخل على هذا ال organs دورها الأساسي انها
+
+41
+00:03:33,690 --> 00:03:39,790
+تخلصنا منه وفي اللي هو circulatory macrophage او
+
+42
+00:03:39,790 --> 00:03:42,990
+ما تسمى ال recruited macrophage اللي بنادي عليها
+
+43
+00:03:42,990 --> 00:03:46,610
+at site of infection جدول هذا تبين ان ال resident
+
+44
+00:03:46,610 --> 00:03:51,010
+tissue macrophage population اسمها في العضاء
+
+45
+00:03:51,010 --> 00:03:55,850
+المختلفة من الجسم ووظيفتها أيضا يعني على سبيل
+
+46
+00:03:55,850 --> 00:03:59,030
+المثال في البنمرو في stromal macrophage شو دورها؟
+
+47
+00:03:59,320 --> 00:04:02,920
+يجب أن تتعامل مع بيانات الهيموبياتيكية و تحرر
+
+48
+00:04:02,920 --> 00:04:10,560
+النيوكليات النيوكليات تبع ال RBCs في الليفر كوفر
+
+49
+00:04:10,560 --> 00:04:15,180
+تعمل تفريق بيانات و كومبليكسيه من الدم في الاسبلين
+
+50
+00:04:15,180 --> 00:04:18,660
+موجودة في ال red polyps و في ال white polyps و
+
+51
+00:04:18,660 --> 00:04:25,930
+أيضا تعمل تفريق لسنسنت و أبوبتك بيانات و هكذافي كل
+
+52
+00:04:25,930 --> 00:04:30,050
+عضو من الأعضاء اللي هي اسم معين and it's distinct
+
+53
+00:04:30,050 --> 00:04:35,590
+wished from other اللي هي specific phenotypic
+
+54
+00:04:35,590 --> 00:04:42,830
+appearance بتختلف من عضو إلى عضو ال microphage
+
+55
+00:04:42,830 --> 00:04:46,990
+أيضا can regulate وزي ما انتوا شايفين فيه اكتر من
+
+56
+00:04:46,990 --> 00:04:51,960
+signal can activate فيه اللي هو ال microphageعلى
+
+57
+00:04:51,960 --> 00:04:55,860
+سبيل المثال الهيبو بوريسا كريتز اللي هي الهيبو
+
+58
+00:04:55,860 --> 00:04:57,480
+بوريسا كريتز اللي هي الهيبو بوريسا كريتز اللي هي
+
+59
+00:04:57,480 --> 00:04:57,880
+الهيبو بوريسا كريتز اللي هي الهيبو بوريسا كريتز
+
+60
+00:04:57,880 --> 00:04:59,040
+اللي هي الهيبو بوريسا كريتز اللي هي الهيبو بوريسا
+
+61
+00:04:59,040 --> 00:04:59,860
+كريتز اللي هي الهيبو بوريسا كريتز اللي هي الهيبو
+
+62
+00:04:59,860 --> 00:05:00,540
+بوريسا كريتز اللي هي الهيبو بوريسا كريتز اللي هي
+
+63
+00:05:00,540 --> 00:05:03,620
+الهيبو بوريسا كريتز اللي هي الهيبو بوريسا كريتز
+
+64
+00:05:03,620 --> 00:05:09,480
+اللي هي الهيبو بوريسا كريأيضًا يمكن تفعيله
+
+65
+00:05:09,480 --> 00:05:14,960
+باستخدام افعالة الـ cytokine تمر نكروسيس جاما
+
+66
+00:05:14,960 --> 00:05:19,680
+انترفيروم تم إطلاقه من تمر تهيبر 1 وهو يمكن تفعيله
+
+67
+00:05:19,680 --> 00:05:24,020
+أيضًا في مكروفيج ومن ثم كيسيل وبالتالي يبتدع
+
+68
+00:05:24,020 --> 00:05:30,460
+عبدالكبير في البرو انفلاماتوري ميدياتر وفي
+
+69
+00:05:30,460 --> 00:05:34,380
+الcell mediated immunity من خلال تنشيط أو ما يسمى
+
+70
+00:05:34,380 --> 00:05:38,210
+بالجرانيالوهما اللي توقع حكينا عنهالتخلص من تجارب
+
+71
+00:05:38,210 --> 00:05:44,170
+الـ Hypersensitivity أيضًا الـ Monocytes يمكن أن
+
+72
+00:05:44,170 --> 00:05:49,690
+يكونوا مفعولين من خلال تحسين الاختصام الخاص بـ MHC
+
+73
+00:05:49,690 --> 00:05:54,150
+Class 2 وبالتالي يتحسن الانتجن بريزنتيشن أيضًا
+
+74
+00:05:54,150 --> 00:05:58,450
+يمكن أن يتحسن الاندو سايتوسيس من خلال هذه التقنية
+
+75
+00:05:58,450 --> 00:06:04,270
+أو من خلال هذه التقنية وإن كانت هذه التقنية فقط
+
+76
+00:06:04,270 --> 00:06:09,230
+مستخدمةاندو سايتوسيز انما ال killing process is
+
+77
+00:06:09,230 --> 00:06:13,550
+not efficient بهذا التقنيق او بهذا ال procedure
+
+78
+00:06:13,550 --> 00:06:17,050
+الوجه
+
+79
+00:06:17,050 --> 00:06:22,070
+الآخر او الثالث لل macrophage انه can induce anti
+
+80
+00:06:22,070 --> 00:06:25,070
+inflammatory response by releasing certain
+
+81
+00:06:25,070 --> 00:06:31,410
+cytokine زي IL-10 ده هو which can induce the
+
+82
+00:06:31,410 --> 00:06:33,570
+secretion of transforming growth factor beta
+
+83
+00:06:34,640 --> 00:06:38,880
+وبالتالي بتشتغل بتصير Deactivated Macrophage
+
+84
+00:06:38,880 --> 00:06:47,700
+وبالتالي it's an anti-inflammatory response يبدأ
+
+85
+00:06:47,700 --> 00:06:51,280
+مرات بـpro-inflammatory a release of certain
+
+86
+00:06:51,280 --> 00:06:52,180
+mediators
+
+87
+00:06:54,980 --> 00:06:59,640
+بدور أساسي كمان بتلعب دور كبير ك Anti-inflammatory
+
+88
+00:06:59,640 --> 00:07:05,340
+و it can be alternatively activated من خلال اللي
+
+89
+00:07:05,340 --> 00:07:09,020
+هو ال endocytosis process اللي can be induced
+
+90
+00:07:09,020 --> 00:07:12,460
+which وبالتالي بنقدر نقول ان ال signals from
+
+91
+00:07:12,460 --> 00:07:16,580
+microbial products or phytocytosis and cytokine
+
+92
+00:07:16,580 --> 00:07:23,220
+كلها بتأدي إلىاللي هو أوجه مختلفة لـ Macrophage
+
+93
+00:07:23,220 --> 00:07:28,540
+وتنشيطات مختلفة لـ Macrophage ودور أساسي في مواقع
+
+94
+00:07:28,540 --> 00:07:33,380
+مختلفة ما هي الـ Secretory Products which are
+
+95
+00:07:33,380 --> 00:07:37,460
+released from Macrophage؟ وهذا جدول بيبين أنها
+
+96
+00:07:37,460 --> 00:07:42,700
+Different Secretory Product تنتج من الـ Macrophage
+
+97
+00:07:42,700 --> 00:07:45,760
+فأول واحد هو اللي هو Molecular Weight Metabolites
+
+98
+00:07:45,760 --> 00:07:50,280
+زي كل Reactiveأكسجين و نيتروجين و نيتروجين و
+
+99
+00:07:50,280 --> 00:07:50,400
+نيتروجين و نيتروجين و نيتروجين و نيتروجين و
+
+100
+00:07:50,400 --> 00:07:51,660
+نيتروجين و نيتروجين و نيتروجين و نيتروجين و
+
+101
+00:07:51,660 --> 00:07:54,160
+نيتروجين و نيتروجين و نيتروجين و نيتروجين و
+
+102
+00:07:54,160 --> 00:07:58,260
+نيتروجين و نيتروجين و نيتروجين و نيتروجين و
+
+103
+00:07:58,260 --> 00:08:03,640
+نيتروجين و نيتروجين و نيتروجين و نيتروجين و
+
+104
+00:08:03,640 --> 00:08:03,900
+نيتروجين و نيتروجين و نيتروجين و نيتروجين و
+
+105
+00:08:03,900 --> 00:08:08,820
+نيتروجين و نيتروجين و نيتروجين و نيتروجين و
+
+106
+00:08:08,820 --> 00:08:14,760
+نيتروجين و نيتروجين و
+
+107
+00:08:14,760 --> 00:08:18,260
+نيتمن الـ cytokine سواء كانت stimulatory أو
+
+108
+00:08:18,260 --> 00:08:20,640
+inhibitory زي الـ transform of growth factor beta
+
+109
+00:08:20,640 --> 00:08:28,320
+أيضا it can release certain chemokine زي اللي هو
+
+110
+00:08:28,320 --> 00:08:36,660
+CCL2 و 3 أو 4 أو 5 أو 8 كلهم لهم دور كبير كاللي هو
+
+111
+00:08:36,660 --> 00:08:42,370
+اللي هو ال receptors في مواقع مختلفةأدهيجي
+
+112
+00:08:42,370 --> 00:08:46,250
+الميليكيويز الفابرينكتراترومبسبردين وده بلعب دور
+
+113
+00:08:46,250 --> 00:08:48,730
+كبير في ال optionization Matrix adhesion في
+
+114
+00:08:48,730 --> 00:08:54,870
+agocytosis في pheropoptic cells complement بتنتج
+
+115
+00:08:54,870 --> 00:09:02,430
+كل ال complement أشهرها C3 وبتلعب دور كبير ك local
+
+116
+00:09:02,430 --> 00:09:07,810
+optionizer Procoagulant بتنتج Tesiofactor هذا
+
+117
+00:09:07,810 --> 00:09:10,170
+عبارة عن plotting cascade
+
+118
+00:09:14,570 --> 00:09:19,290
+فاكتور و ايضا تفرز انزايم مثل Lysosome ,
+
+119
+00:09:19,290 --> 00:09:23,190
+Eurokinese, Collagenese, Elastese كلهم بيلعبوا دور
+
+120
+00:09:23,190 --> 00:09:28,550
+كبير ك Gram Positive Bacterial Lysis Lysosome و
+
+121
+00:09:28,550 --> 00:09:34,070
+Eurokinese مثل Fibrinolysis و هكذا طيب
+
+122
+00:09:34,070 --> 00:09:39,160
+نجي نأكد هذا الكلام من خلالالكتابة Macrophage,
+
+123
+00:09:39,260 --> 00:09:42,220
+Myeloid, Dendritic Cells and Osteoclast كلهم
+
+124
+00:09:42,220 --> 00:09:48,740
+بيطلعوا من الماء مونوسايتز كلهم ماشي ممكن تفرشهم
+
+125
+00:09:48,740 --> 00:09:53,000
+من المشاركة للمونوسايتز لو تحكينا ان في resident
+
+126
+00:09:53,000 --> 00:09:55,960
+macrophages اللي which are widely distributed
+
+127
+00:09:55,960 --> 00:09:59,120
+through out the body و they are phenotypically
+
+128
+00:09:59,120 --> 00:10:03,050
+distinct populationsيعني بيختلفوا باختلاف المنطقة
+
+129
+00:10:03,050 --> 00:10:08,550
+within the different zone of spleen, lymph nodes
+
+130
+00:10:08,550 --> 00:10:14,250
+or whatever the organ is Resident macrophage and
+
+131
+00:10:14,250 --> 00:10:19,530
+recruited macrophage respond according to locally
+
+132
+00:10:19,530 --> 00:10:23,370
+produced cytokine حسب ال cytokine المصلة فعلى سبيل
+
+133
+00:10:23,370 --> 00:10:30,800
+المثال QTL-1 SecretGamma Interferon بإمكانها تحسن
+
+134
+00:10:30,800 --> 00:10:34,200
+الانفلاماتوري والانتمايكروبيا والاكتفاة وشفناها في
+
+135
+00:10:34,200 --> 00:10:40,880
+الفجر اللي فات دي ال باب تو أيضا اندوس الاختلاف
+
+136
+00:10:40,880 --> 00:10:42,660
+الاختلاف الاختلاف الاختلاف الاختلاف الاختلاف
+
+137
+00:10:42,660 --> 00:10:46,520
+الاختلاف الاختلاف الاختلاف الاختلاف الاختلاف
+
+138
+00:10:46,520 --> 00:10:51,440
+الاختلاف الاختلاف
+
+139
+00:10:51,440 --> 00:10:53,720
+الاختلاف الاختلاف الاختلاف الاختلاف الاختلاف
+
+140
+00:10:53,720 --> 00:10:54,260
+الاختلاف الاختلاف الاختلاف الاختلاف الاختلاف
+
+141
+00:10:54,260 --> 00:10:54,280
+الاختلاف الاختلاف الاختلاف الاختلاف الاختلاف
+
+142
+00:10:54,280 --> 00:10:58,140
+الاختلاف الاختلاف الاختلاف الاختاكشن اندوز
+
+143
+00:10:58,140 --> 00:11:03,440
+انتيانفلامتري اكشن من خلال هو secretion of او
+
+144
+00:11:03,440 --> 00:11:10,040
+inducing its inhibitory effectsresident macrophage
+
+145
+00:11:10,040 --> 00:11:14,760
+clear apoptic cells من خلال زي ما قلنا اللي هو
+
+146
+00:11:14,760 --> 00:11:21,160
+certain adhesion molecule و adhesion receptors
+
+147
+00:11:21,160 --> 00:11:24,520
+فبتعمل زي ال vetronectal receptors فبتعمل
+
+148
+00:11:24,520 --> 00:11:30,640
+endocytosis وزي ما قلنا ال killing activity is not
+
+149
+00:11:30,640 --> 00:11:37,070
+efficient بهذا الميكانزم ال macrophageأيضًا
+
+150
+00:11:37,070 --> 00:11:40,150
+Internalized pathogen using variety of specific
+
+151
+00:11:40,150 --> 00:11:44,010
+and opsonic receptor من هذه الريسبتور هي ال
+
+152
+00:11:44,010 --> 00:11:46,530
+-hypopolysaccharide receptor ال-dolyric receptor
+
+153
+00:11:46,530 --> 00:11:50,250
+المنوس ريسبتور ال-RFC ريسبتور الكمبليمنت ريسبتور
+
+154
+00:11:50,250 --> 00:11:55,350
+لواحد و تلاتة و أربعة complement component يعني
+
+155
+00:11:55,350 --> 00:12:00,650
+لها different receptor على سطحها تخيلوا قداش تعداد
+
+156
+00:12:00,650 --> 00:12:06,310
+هذه الريسبتوراكتفيشين مايكروفاج ايضا تخلص من
+
+157
+00:12:06,310 --> 00:12:11,370
+سيتوكاين وانزين او complement system موليكيول و
+
+158
+00:12:11,370 --> 00:12:16,310
+بروكواجلاند موليكيول وهذا شفناه في الجدول السابق
+
+159
+00:12:16,310 --> 00:12:22,170
+اكتفيشين مايكروفاج ينتج اكسجين رهيب ونيتروجين
+
+160
+00:12:22,170 --> 00:12:28,870
+متوسط هؤلاء مخلصان جدًا لإندوستوز بكتيريا وفنجاى
+
+161
+00:12:29,550 --> 00:12:34,730
+وأيضا شفناها في الجدول recently recruited cells
+
+162
+00:12:34,730 --> 00:12:41,570
+are most effective at antimicrobial killing بينما
+
+163
+00:12:41,570 --> 00:12:46,270
+ال resting macrophages have only limited killing
+
+164
+00:12:46,270 --> 00:12:50,430
+activity طبيعي اللي بتحرك نشاطه هيكون أكتر من اللي
+
+165
+00:12:50,430 --> 00:12:58,550
+عيش من اللي قاعدهذا ما يتعلق بالـ macrophage بتطلق
+
+166
+00:12:58,550 --> 00:13:03,650
+إلى other cytotoxic cells Cell-mediated
+
+167
+00:13:03,650 --> 00:13:08,150
+cytotoxicity is essential defense mechanism ليش
+
+168
+00:13:08,150 --> 00:13:10,690
+الـ intracellular pathogen بما فيها الويروس
+
+169
+00:13:10,690 --> 00:13:15,990
+بكتيريا parasites and tumor cells كلها بتلعب دور
+
+170
+00:13:15,990 --> 00:13:20,230
+كبير they can become cytotoxic or target for
+
+171
+00:13:20,230 --> 00:13:24,700
+cytotoxic cellsالprocess is important in the
+
+172
+00:13:24,700 --> 00:13:27,940
+destruction of allergenic tissue graft ضور
+
+173
+00:13:27,940 --> 00:13:33,480
+cytotoxic cells في هذا الموضوع حيث هو الأساسي this
+
+174
+00:13:33,480 --> 00:13:37,880
+activity is executed by several types of cells
+
+175
+00:13:37,880 --> 00:13:43,760
+منها فيها cytotoxic T cell و ال NK cell و بعض مرات
+
+176
+00:13:43,760 --> 00:13:49,200
+ال myeloid cells يبقى ال major cellsالتي يمكن أن
+
+177
+00:13:49,200 --> 00:13:52,640
+تستخدم مصادر مدعومة لـ Cytotoxicity وبيسموها
+
+178
+00:13:52,640 --> 00:13:57,480
+Cytotoxic Cells هي الـ T-Cytotoxic و الـ NK Cell
+
+179
+00:13:57,480 --> 00:14:03,460
+بشكل أساسي يعني الـ T-Cytotoxic C دي ايه الـ T
+
+180
+00:14:03,460 --> 00:14:06,480
+-Cytotoxic Cell؟ كان ريكوينيز أنتجينيك دي بتاعت
+
+181
+00:14:06,480 --> 00:14:10,580
+presented on MHC Class I مش بتقدملها الانتجن مرتبط
+
+182
+00:14:10,580 --> 00:14:15,190
+ب MHC Class I موليكيولبينما الـ NK cell react
+
+183
+00:14:15,190 --> 00:14:18,490
+against cell which do not express MSC class I
+
+184
+00:14:18,490 --> 00:14:23,610
+شوفوا الفارق في الميكانيزم واحدة بتتعرف على MSC
+
+185
+00:14:23,610 --> 00:14:27,710
+class I مليكيون وواحدة بتتعرف على ال presence of
+
+186
+00:14:27,710 --> 00:14:31,930
+MSC class I مليكيون وجوده تايتر وغيره they can
+
+187
+00:14:31,930 --> 00:14:35,710
+interact with these cells using a variety of
+
+188
+00:14:35,710 --> 00:14:40,990
+receptors وشوفنا ميكانيزم الـ NK cell في محاضرة
+
+189
+00:14:40,990 --> 00:14:48,050
+سابقةطيب كيف يحدث الـ cytotoxicity؟ قالوا غناصر
+
+190
+00:14:48,050 --> 00:14:51,850
+الـ cytotoxicity نمرة واحد اللي هو cell to cell
+
+191
+00:14:51,850 --> 00:14:54,630
+interaction لازم يحصل فيه cell to cell contact
+
+192
+00:14:54,630 --> 00:14:59,410
+نمرة اتنين cytokine release ونمرة تلاتة granule
+
+193
+00:14:59,410 --> 00:15:04,070
+release ماشي يحصل فيه اللي هو الـ lithium-heat
+
+194
+00:15:04,070 --> 00:15:09,860
+degranulation في آخر الحاجةميكانيزم آخر أيضًا can
+
+195
+00:15:09,860 --> 00:15:13,140
+be included و هو الـ Fas-Ligand Anti-Human
+
+196
+00:15:13,140 --> 00:15:18,000
+Necrosis Factor These can signal apoptosis to the
+
+197
+00:15:18,000 --> 00:15:20,900
+target cell نحن نعرف الـ Fas هو عبارة عن death
+
+198
+00:15:20,900 --> 00:15:27,840
+receptor أو الـ Fas-Ligand و بالتالي can induce
+
+199
+00:15:27,840 --> 00:15:33,390
+apoptosis to the cellأيضًا من أدوات القتل الـ
+
+200
+00:15:33,390 --> 00:15:37,070
+Granules زي الـ Perforin والـ Granzyme تدفع إلى
+
+201
+00:15:37,070 --> 00:15:42,990
+تهيأة أدوات الأدوات التي تستخدمها الـ cell الـ
+
+202
+00:15:42,990 --> 00:15:48,290
+cytotoxic cells هي من شروطها cell to cell contact،
+
+203
+00:15:48,290 --> 00:15:52,000
+release of cytokine، release of granulesأيضًا
+
+204
+00:15:52,000 --> 00:15:55,760
+أسلوب آخر للقتل من خلال الـ Death Receptor وهو الـ
+
+205
+00:15:55,760 --> 00:16:02,260
+Fas-Ligand and Tumor Necrosis Factor Signal و
+
+206
+00:16:02,260 --> 00:16:06,860
+الأخير والـ Granules من خلال الـ Release أو الـ
+
+207
+00:16:06,860 --> 00:16:10,640
+Perforation of the Enzyme اللي بيعملوا أيضًا تشو
+
+208
+00:16:10,640 --> 00:16:19,120
+أو Cell Damage اتفقنا على أن الفاسيتم تفكيره على
+
+209
+00:16:19,120 --> 00:16:22,260
+ميكروسفاكتوريسيبتر على الـ target cell بيؤدي
+
+210
+00:16:22,260 --> 00:16:25,580
+للاكتفاء من كاسا بيسيس والكاسا بيسيس هي عبارة عن
+
+211
+00:16:25,580 --> 00:16:30,680
+مجموعة من الإنزيمات التي تتعامل بالتعبير على
+
+212
+00:16:30,680 --> 00:16:34,360
+أبوبتوسس
+
+213
+00:16:34,360 --> 00:16:40,040
+والجدول القاتىبيبين لنا أو الصورة القادمة في جرح
+
+214
+00:16:40,040 --> 00:16:45,460
+الإتقاط بيبين لنا اللي هو ال interaction between T
+
+215
+00:16:45,460 --> 00:16:48,880
+-cytotoxic and their target cell وطبعا هذا ال
+
+216
+00:16:48,880 --> 00:16:52,380
+interaction حكينا فيه سابقا زي ما انتوا شايفين هي
+
+217
+00:16:52,380 --> 00:16:57,120
+T-cytotoxic lymphocytes وهي ال target cell T
+
+218
+00:16:57,120 --> 00:17:02,790
+-cytotoxic أول تحتاج إلى أكتر من هاشمن signal to
+
+219
+00:17:02,790 --> 00:17:07,470
+be activated فاول واحدة TCR بتبين ال antigen اللي
+
+220
+00:17:07,470 --> 00:17:12,810
+ممسوك بال MHC class I موليكيول وبيجي ال coreceptor
+
+221
+00:17:12,810 --> 00:17:18,890
+اللي هو CD8 بيرتبط بال MHC class I موليكيول وهذه
+
+222
+00:17:18,890 --> 00:17:25,530
+بتسميها اللي هو ال first signal لكنها تحتاج إلى
+
+223
+00:17:25,530 --> 00:17:34,370
+other signalماشي منها اللي هو CD2 برتبط بال
+
+224
+00:17:34,370 --> 00:17:40,210
+leukocyte functioning antigen تلاتة و leukocyte
+
+225
+00:17:40,210 --> 00:17:43,450
+functioning antigen one على cytotoxic telemphocyte
+
+226
+00:17:43,450 --> 00:17:46,950
+برتبط بال ICAM-1 وال ICAM-1 هو عبارة عن
+
+227
+00:17:46,950 --> 00:17:53,320
+intracellularAdhesion molecule number one فبتقوى
+
+228
+00:17:53,320 --> 00:17:58,940
+الرابطة بيصير فيه ايش في activation and cytotoxic
+
+229
+00:17:58,940 --> 00:18:03,740
+activity activation
+
+230
+00:18:03,740 --> 00:18:05,960
+and
+
+231
+00:18:07,470 --> 00:18:11,830
+Target Cell Killing By CD8-T Cytotoxic Cell حكينا
+
+232
+00:18:11,830 --> 00:18:17,650
+فيها في الـ B Cell Activity Lecture و أيضا كيفية
+
+233
+00:18:17,650 --> 00:18:22,410
+اللي هو فاز فاز legend activity هي زي ما قلنا CD4
+
+234
+00:18:22,410 --> 00:18:31,650
+-T Cell بتستخدم CD95 وهو عبارة عن فاز مع ال CD178
+
+235
+00:18:31,650 --> 00:18:36,490
+و اللي موجود على ال
+
+236
+00:18:38,320 --> 00:18:42,240
+بـ Target Cell وبالتالي بيصير فيه أيضًا Fast Fast
+
+237
+00:18:42,240 --> 00:18:51,020
+-Legend Activity و Killing Mechanism نحكي
+
+238
+00:18:51,020 --> 00:18:54,500
+على الان على الـ Non-Lymphoid Cytotoxic Effects
+
+239
+00:18:54,500 --> 00:18:59,220
+خلايا غير لنفوية يعني ان الـ Macrophages
+
+240
+00:18:59,220 --> 00:19:02,920
+Macrophages can damage target using their non
+
+241
+00:19:02,920 --> 00:19:08,160
+-specific toxic effect or system and viavia
+
+242
+00:19:08,160 --> 00:19:16,460
+cytokine وفيما عدد من الـ non lymphoid cytotoxic
+
+243
+00:19:16,460 --> 00:19:21,540
+cell which can invade micro organism زي البكتيريا
+
+244
+00:19:21,540 --> 00:19:28,460
+و البراسيز cytotoxicity أيضا ممكن تصير من خلالالـ
+
+245
+00:19:28,460 --> 00:19:32,440
+Antibody Dependent Cell-mediated Cytotoxicity
+
+246
+00:19:32,440 --> 00:19:39,480
+ميكانيزم اللي يتعامل مع مدينة تكسيك غير محدودة
+
+247
+00:19:43,160 --> 00:19:46,140
+أيضًا من خلال الارتباط اللي هو الـ macrophage و
+
+248
+00:19:46,140 --> 00:19:48,680
+النيتروفيل، these are phagocytic cell اللي لهم
+
+249
+00:19:48,680 --> 00:19:53,560
+receptors لل-FC portion of IgG على سطحهم، فعلى
+
+250
+00:19:53,560 --> 00:19:56,980
+سبيل المثال، التنتينة دول اللي لهم receptor لل-FC
+
+251
+00:19:56,980 --> 00:20:00,300
+gamma ريحص الـReceptor 1 والـFC gamma ريحص
+
+252
+00:20:00,300 --> 00:20:06,040
+الـReceptor 2، وده بيمكنهم من الارتباط بال tumor
+
+253
+00:20:06,040 --> 00:20:10,100
+cell بالـantigen and induce ADCC
+
+254
+00:20:12,640 --> 00:20:16,740
+ميكروفاجيا النيتروفيل تهيأ لإدمار الوضع بإدخاله
+
+255
+00:20:16,740 --> 00:20:20,320
+للداخلية للجسم ومن خلال ذلك يتم إدخاله للداخلية
+
+256
+00:20:20,320 --> 00:20:22,840
+للجسم و يتم إدخاله للداخلية للجسم و يتم إدخاله
+
+257
+00:20:22,840 --> 00:20:24,460
+للداخلية للجسم و يتم إدخاله للداخلية للجسم و يتم
+
+258
+00:20:24,460 --> 00:20:25,300
+إدخاله للداخلية للجسم و يتم إدخاله للداخلية للجسم
+
+259
+00:20:25,300 --> 00:20:28,140
+و يتم إدخاله للداخلية للجسم و يتم إدخاله للداخلية
+
+260
+00:20:28,140 --> 00:20:31,080
+للجسم و يتم إدخاله للداخلية للجسم و يتم إدخاله
+
+261
+00:20:31,080 --> 00:20:38,400
+للداخلية للجسم و يتم إدخاله للداخلية للجسم و
+
+262
+00:20:38,400 --> 00:20:42,510
+يتمأيضا ماكروفيرس يجعل للمخلوق اللي يسمّى human
+
+263
+00:20:42,510 --> 00:20:50,030
+necrosis فاكتور ممكن أن يدعم ابوبتوسيز وأيضا
+
+264
+00:20:50,030 --> 00:20:56,810
+الفيجر الأتي بيبين لي ال mechanism that may
+
+265
+00:20:56,810 --> 00:21:00,330
+contribute to the cytotoxicity of myeloid cell
+
+266
+00:21:00,330 --> 00:21:04,930
+شوفوا إيش اللي بيصير بطلع reactive oxygen species
+
+267
+00:21:04,930 --> 00:21:08,710
+ماشي بطلع
+
+268
+00:21:10,040 --> 00:21:19,600
+reactive nitrogen species بيطلع c3a receptor sorry
+
+269
+00:21:19,600 --> 00:21:25,120
+c3a component و طبعا هذه اللي هدور في ال
+
+270
+00:21:25,120 --> 00:21:31,260
+recruitment of other cells super oxide, anion,
+
+271
+00:21:31,400 --> 00:21:34,740
+reactive intermediate, nitric oxide, human
+
+272
+00:21:34,740 --> 00:21:40,050
+interest factor alpha كلهم هدول بيطلعوا ماشيالذي
+
+273
+00:21:40,050 --> 00:21:43,390
+يتم إطلاقه من جسد الميليويد ويمكنه تدمير الجسد
+
+274
+00:21:43,390 --> 00:21:48,590
+المهاجر بالإضافة إلى سيتوكاين ميدياتيال التحكي
+
+275
+00:21:48,590 --> 00:21:53,550
+الادينفيل أيضًا ليس لينفويد
+
+276
+00:21:56,710 --> 00:22:03,490
+بتعمل تعمل تعمل تعمل تعمل تعمل
+
+277
+00:22:03,490 --> 00:22:11,850
+تعمل تعمل تعمل تعمل تعمل
+
+278
+00:22:15,110 --> 00:22:20,230
+الجراميوس تحتوي على التالي تحتوي على بروتين أساسي
+
+279
+00:22:20,230 --> 00:22:24,870
+كبير يمكن أن يقتل الحيوانات إيزينوفيل بالاكسيديز
+
+280
+00:22:24,870 --> 00:22:31,050
+وهو قاتل قوى للحيوانات بإكسيد الهالايد لإنتاج
+
+281
+00:22:31,050 --> 00:22:37,570
+حيبوهالايد وإيزينوفيل كاتيانيك بروتين وهو قادر على
+
+282
+00:22:37,570 --> 00:22:43,310
+قتل الحيوانات مثل الشيستوسوما يمكن أن نكون
+
+283
+00:22:43,310 --> 00:22:51,190
+استعرضناالـ Mononuclear phagocytic cell و الـ
+
+284
+00:22:51,190 --> 00:23:02,330
+cytotoxic effect induced by these cells أشكر
+
+285
+00:23:02,330 --> 00:23:03,470
+لكم استماعكم
+
diff --git a/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/8g1W-HF2ZGc_postprocess.srt b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/8g1W-HF2ZGc_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..9d564479e1d5a010b224df28b9921a7384e0ce52
--- /dev/null
+++ b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/8g1W-HF2ZGc_postprocess.srt
@@ -0,0 +1,2164 @@
+1
+00:00:01,260 --> 00:00:05,520
+بسم الله الرحمن الرحيم بحضرتنا اليوم عن ال
+
+2
+00:00:05,520 --> 00:00:10,060
+immunodeficiency syndrome و ال immunodeficiency
+
+3
+00:00:10,060 --> 00:00:17,340
+syndrome are divided مرة
+
+4
+00:00:17,340 --> 00:00:21,500
+أخرى بسم الله الرحمن الرحيم بحضرتنا اليوم عن ال
+
+5
+00:00:21,500 --> 00:00:25,780
+immunodeficiency syndrome these are divided into
+
+6
+00:00:25,780 --> 00:00:30,720
+two major categoriesقسمهم إلى قسمين أساسيين جاله
+
+7
+00:00:30,720 --> 00:00:33,260
+فيه primary immune deficiency و فيه secondary
+
+8
+00:00:33,260 --> 00:00:38,740
+immune deficiency طبعا في كلتا الحالتين في حالات
+
+9
+00:00:38,740 --> 00:00:43,460
+مرضية متباينة هتطرخ لأمثلة كثيرة في كل نوع من هذه
+
+10
+00:00:43,460 --> 00:00:52,620
+الأنواع ال categories
+
+11
+00:00:52,620 --> 00:00:58,050
+of primary immune response او deficiencyطب احنا
+
+12
+00:00:58,050 --> 00:01:01,030
+هنتطلق في البداية لل primary immune deficiency ثم
+
+13
+00:01:01,030 --> 00:01:04,310
+هنتقل الى ال secondary immune deficiency جانو في
+
+14
+00:01:04,310 --> 00:01:08,130
+ال primary immune deficiency هي عبارة عن عوامل
+
+15
+00:01:08,130 --> 00:01:12,970
+أساسية لل immune response او بالتالي بنحكي على T
+
+16
+00:01:12,970 --> 00:01:17,410
+cell يعني cell mediated immunity و بنحكي على B
+
+17
+00:01:17,410 --> 00:01:21,070
+cell يعني antibody mediated immunity بنحكي على
+
+18
+00:01:21,070 --> 00:01:28,590
+both B and T cell immunityثم Non-specific immunity
+
+19
+00:01:28,590 --> 00:01:36,490
+متمثلة بالفاجوسيتك سيل and or انكي سيل ثم ال
+
+20
+00:01:36,490 --> 00:01:42,490
+complement activation أيضا و طبعا كل هذه العوامل
+
+21
+00:01:42,490 --> 00:01:48,190
+مشتركة بتمثل ال category of primary immune
+
+22
+00:01:48,190 --> 00:01:52,070
+response هنطلق الى كل عامل من هذه العوامل و ناخد
+
+23
+00:01:52,070 --> 00:01:57,100
+أمثلةبداية ما كتش بتشك في وجود immunodeficiency
+
+24
+00:01:57,100 --> 00:02:05,380
+قالوا فيه عشر محاذير أساسية مظاهر أساسية for
+
+25
+00:02:05,380 --> 00:02:10,740
+immunodeficiency disease نمرا واحد six or more
+
+26
+00:02:10,740 --> 00:02:14,320
+infections per year يعني أكتر من ست مرات تحصل فيها
+
+27
+00:02:14,320 --> 00:02:17,820
+infection في السماء نمرا اتنين two or more severe
+
+28
+00:02:17,820 --> 00:02:22,360
+sinusitis per yearنمرا تلاتة antibiotic treatment
+
+29
+00:02:22,360 --> 00:02:27,780
+lasting for two months or even longer بدون أيام
+
+30
+00:02:27,780 --> 00:02:33,900
+visible effect نمرا أربعة two or more pneumonia
+
+31
+00:02:33,900 --> 00:02:39,800
+per year نمرا خمسة retardation of growth and
+
+32
+00:02:39,800 --> 00:02:44,920
+development of child نمرا ستة recurrent deep skin
+
+33
+00:02:44,920 --> 00:02:50,610
+or organ abscessesنمرة سبعة ميكوسيس مستمر في عمل
+
+34
+00:02:50,610 --> 00:02:52,630
+عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل
+
+35
+00:02:52,630 --> 00:02:56,110
+عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل
+
+36
+00:02:56,110 --> 00:02:57,110
+عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل
+
+37
+00:02:57,110 --> 00:02:57,130
+عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل
+
+38
+00:02:57,130 --> 00:02:57,530
+عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل
+
+39
+00:02:57,530 --> 00:02:57,610
+عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل
+
+40
+00:02:57,610 --> 00:03:01,590
+عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل
+
+41
+00:03:01,590 --> 00:03:10,320
+عمل عمل عمل عمل عمل عمل عنمرا تسعة تور more severe
+
+42
+00:03:10,320 --> 00:03:14,740
+infection زي encephalitis, osteitis, dermatitis,
+
+43
+00:03:14,860 --> 00:03:19,440
+myositis and sepsis نمرا عشرة family history
+
+44
+00:03:19,440 --> 00:03:27,680
+indicating primary immune deficiency طبعا في عندنا
+
+45
+00:03:27,680 --> 00:03:32,980
+جدول ان شاء الله الحلقات طلع اليه وبيبين لنا
+
+46
+00:03:32,980 --> 00:03:37,090
+different types of infectionعلى سبيل المثال كانت
+
+47
+00:03:37,090 --> 00:03:41,670
+بكتيريا القطاعتس ميديا و بكتيريا النومونيا غالبا
+
+48
+00:03:41,670 --> 00:03:44,470
+بنشوفها في الناس اللي عندهم B cell and antibody
+
+49
+00:03:44,470 --> 00:03:49,970
+deficiency و هكذا جدول مصنف انها بالذات أمراض
+
+50
+00:03:49,970 --> 00:03:56,590
+كثيرة و غياب كل واحد شو بيعمل فأول واحد B cell او
+
+51
+00:03:56,590 --> 00:04:01,420
+B lymphocyte deficiencywhich means deficiency in
+
+52
+00:04:01,420 --> 00:04:05,600
+antibody-mediated immunity فوق بيصير فيه recurrent
+
+53
+00:04:05,600 --> 00:04:08,260
+bacterial infection وتعتسمية recurrent infection
+
+54
+00:04:08,260 --> 00:04:11,960
+وها كذا T cell deficiency يعني cell-mediated
+
+55
+00:04:11,960 --> 00:04:15,920
+immunity deficiency بيزيد ال susceptibility to the
+
+56
+00:04:15,920 --> 00:04:19,460
+viral fungal protozoa والinfection وهي مجموعة
+
+57
+00:04:19,460 --> 00:04:24,820
+كبيرة من عيش من الحالات المرضية كل واحد له عيش له
+
+58
+00:04:24,820 --> 00:04:27,080
+ال associated disease
+
+59
+00:04:29,920 --> 00:04:32,720
+تخيل اننا نبدأ نحكي عنها ال primary
+
+60
+00:04:32,720 --> 00:04:38,440
+immunodeficiency syndromes يعني باستثناء ال IGA
+
+61
+00:04:38,440 --> 00:04:42,260
+deficiency ال frequency of immunodeficiency is
+
+62
+00:04:42,260 --> 00:04:48,460
+very low حددوها واحد في كل عشر تلاف خمسين فالمية
+
+63
+00:04:48,460 --> 00:04:53,520
+منهم associated with antibody deficiency عشرين
+
+64
+00:04:53,520 --> 00:04:59,350
+فالمية منهماسوش combined with deficiency بمعنى انه
+
+65
+00:04:59,350 --> 00:05:03,850
+فيه antibody و cell-mediated immunity 18% for
+
+66
+00:05:03,850 --> 00:05:07,590
+phagocystic disorders 10% for cell-mediated
+
+67
+00:05:07,590 --> 00:05:15,810
+immunity alone الفكرة القادمة P1.1بيبين ان كل ما
+
+68
+00:05:15,810 --> 00:05:20,830
+كان ال defect earlier كل ما كان ال genetic defect
+
+69
+00:05:20,830 --> 00:05:24,830
+او ال block حدث
+
+70
+00:05:24,830 --> 00:05:30,330
+في دراعي اللى هو الجهاز المناعى كل ما كان earlier
+
+71
+00:05:30,330 --> 00:05:38,850
+كل ما كان ال effect more severe and diseaseable
+
+72
+00:05:38,850 --> 00:05:45,160
+شوفوا الفجرطبعا هذا figure اللي انتوا شايفين يبين
+
+73
+00:05:45,160 --> 00:05:51,460
+ان ال hemopoietic maturation steps for both T and
+
+74
+00:05:51,460 --> 00:05:58,400
+B lymphocytes ف I بي على سبيل المثال بدايتها
+
+75
+00:05:58,400 --> 00:06:04,050
+lymphoid stem cellثم pre-cell ثم immature cell ثم
+
+76
+00:06:04,050 --> 00:06:07,970
+ال mature بيه lymphocytes اللي طبعا بعدها بتدينا
+
+77
+00:06:07,970 --> 00:06:12,430
+different types of antibody once اللي هو
+
+78
+00:06:12,430 --> 00:06:18,090
+maturation occur to plasma cell في كل مرحلة من
+
+79
+00:06:18,090 --> 00:06:23,570
+المراحل ممكن يحصل فيه defect وكل مرحلة من المراحل
+
+80
+00:06:23,570 --> 00:06:27,950
+associated with certain diseaseو كل ما كانت
+
+81
+00:06:27,950 --> 00:06:36,070
+المرحلة أو الخلل بدري كل ما كانش كل المراحل التي
+
+82
+00:06:36,070 --> 00:06:41,710
+تلي الخلل بدها تتعطل وبالتالي كل ما كان ال disease
+
+83
+00:06:41,710 --> 00:06:45,290
+more severe نفس الحكاية بالنسبة لل thymus او ال
+
+84
+00:06:45,290 --> 00:06:49,750
+telephocytes هي بتيجي على ال thymus
+
+85
+00:06:52,580 --> 00:06:59,000
+بعد ذلك تظهر كـ mature CD4 أو CD8 T lymphocytes
+
+86
+00:06:59,000 --> 00:07:05,280
+وطبعا تشتغل كimmune
+
+87
+00:07:05,280 --> 00:07:10,600
+cell المهم انتبهوا إلى الأرقام الموجودة فشوفوا
+
+88
+00:07:10,600 --> 00:07:15,600
+قسموا المراحل هذه إلى أرقام مختلفة وكل مرحلة
+
+89
+00:07:15,600 --> 00:07:19,120
+associated زي ما قلتلكم or combined with a certain
+
+90
+00:07:19,120 --> 00:07:24,000
+disease فرق 1 على سبيل المثال هييعني فى بدري خالص
+
+91
+00:07:24,000 --> 00:07:27,120
+الخلال بيصير فى severe compound immunodeficiency
+
+92
+00:07:27,120 --> 00:07:32,200
+syndrome رقم اتنين برضه بدري ادوة بيصير فى
+
+93
+00:07:32,200 --> 00:07:36,000
+congenital thymic aplasia وبرضه هذا عبارة عن دي
+
+94
+00:07:36,000 --> 00:07:40,020
+جارس سندروم يعنى مافيش تى lymphocytes بتتصنع اتول
+
+95
+00:07:40,020 --> 00:07:47,480
+رقم تلاتة ادوة بيصير فى skid ايضا رقم اربع فى ال B
+
+96
+00:07:47,480 --> 00:07:51,610
+cell ادوةقالوا بيصير في X-Linked E Gamma Global
+
+97
+00:07:51,610 --> 00:07:58,530
+Anemia مافي ولا Antibody بيتكون رقم خمسة ماشي هذا
+
+98
+00:07:58,530 --> 00:08:03,570
+هو أنا رقم خمسة بيصير common variable immune
+
+99
+00:08:03,570 --> 00:08:09,670
+deficiency disease و هكذا كل الحالات اللي هو كل
+
+100
+00:08:09,670 --> 00:08:16,440
+المراحل associated with certain diseaseنبدأ بـ
+
+101
+00:08:16,440 --> 00:08:22,600
+Severe Combined Immunodeficiency Diseases وهي
+
+102
+00:08:22,600 --> 00:08:26,640
+عبارة عن هيتروجينس جروب of disease associated or
+
+103
+00:08:26,640 --> 00:08:29,700
+in which cell-mediated immunity and antibody لأنه
+
+104
+00:08:29,700 --> 00:08:35,060
+combined production are defected التانين معطلين
+
+105
+00:08:35,060 --> 00:08:38,960
+both humoral and cell-mediated immunity are
+
+106
+00:08:38,960 --> 00:08:44,940
+defectedفي الزمن هتسموها او Swiss-type Aiga
+
+107
+00:08:44,940 --> 00:08:49,820
+Microbial Anemia و الناس هدولة عادة susceptible to
+
+108
+00:08:49,820 --> 00:08:54,060
+virtually every type of microbial infection, viral
+
+109
+00:08:54,060 --> 00:08:59,040
+infection, bacterial infection, fungal, protozoal
+
+110
+00:08:59,040 --> 00:09:04,380
+and so on أشهر الحاجات اللي ملحوظة في هذا النوع من
+
+111
+00:09:04,380 --> 00:09:08,380
+الأمراض هو Infection of Cytomegalovirus,
+
+112
+00:09:08,980 --> 00:09:16,220
+Pneumocystitiscarny eye and candida طبعا الناس دول
+
+113
+00:09:16,220 --> 00:09:23,260
+ممنوع ياخدوا vaccine with attenuated lymph virus
+
+114
+00:09:23,260 --> 00:09:29,700
+لأنه it will lead to death patient have been
+
+115
+00:09:29,700 --> 00:09:32,260
+classified according to the following figure or
+
+116
+00:09:32,260 --> 00:09:40,020
+table جال ودوا قسمهم ل T minus B plus T minus B
+
+117
+00:09:40,020 --> 00:09:45,920
+minusأنواع مختلفة سنتطرق لكل نوع من هذه الأنواع بس
+
+118
+00:09:45,920 --> 00:09:51,980
+يجب أن نفهم ان T minus يعني في غياب ل T cell بي
+
+119
+00:09:51,980 --> 00:09:57,500
+بلس يعني في normal بي cell وممكن يكون في غياب
+
+120
+00:09:57,500 --> 00:10:02,280
+لأنكي cell لما أقول T minus بي minus يعني لا بي
+
+121
+00:10:02,280 --> 00:10:08,780
+ولا T cell موجودة و لما أقول التنين plusمعناته
+
+122
+00:10:08,780 --> 00:10:12,080
+الناس التانية هدول عندهم T سل وB سل لكن هم غير
+
+123
+00:10:12,080 --> 00:10:18,840
+شغالاء مش شغالين T plus B minus it's very rare و
+
+124
+00:10:18,840 --> 00:10:23,960
+they preferred treatment طبعا لحالات من هالنوع انه
+
+125
+00:10:23,960 --> 00:10:28,460
+نعمل bone marrow transplantation from an HLA
+
+126
+00:10:28,460 --> 00:10:33,660
+matched sibling donor وده بقى و هذه الحالات اول
+
+127
+00:10:33,660 --> 00:10:38,340
+حالة هي T minus B plus اتفقنا على انه هيمافيش D
+
+128
+00:10:38,340 --> 00:10:42,000
+-cell وإنما مافيه B-cell المرض هذا عبارة عن X
+
+129
+00:10:42,000 --> 00:10:49,920
+-linked skid بيمثل 40 ل 50% من الحالات اللي بنحكي
+
+130
+00:10:49,920 --> 00:10:54,000
+عنها ال mutation جاله موجود على ال X-chromosome
+
+131
+00:10:54,000 --> 00:10:58,980
+الجين اللي صار فيه mutation موجود على ال X
+
+132
+00:10:58,980 --> 00:11:05,180
+-chromosome which could forgamer chain ماشي
+
+133
+00:11:06,650 --> 00:11:12,870
+Gamma Chain Cytokine Receptor وطبعاً this Gamma
+
+134
+00:11:12,870 --> 00:11:17,230
+Chain تلعب دور كبير في ال .. اللي هو Signal
+
+135
+00:11:17,230 --> 00:11:22,290
+Transduction لعدد كبير من ال cytokine منها IL2,
+
+136
+00:11:22,390 --> 00:11:30,110
+IL4, IL7, IL9, IL15وطبعا هذه معناته غيبها بعمل
+
+137
+00:11:30,110 --> 00:11:36,930
+غياب ل ال function for this cytokine وهذا فكرة
+
+138
+00:11:36,930 --> 00:11:42,830
+واضح جدا هي receptor اللي هو عبارة عن إيش legend
+
+139
+00:11:42,830 --> 00:11:49,870
+لكل ال cytokine هذول ال legend تعونوه لكل ال
+
+140
+00:11:49,870 --> 00:11:55,690
+cytokine هذول فهي بيتكوم من two chain واحدةتو بولي
+
+141
+00:11:55,690 --> 00:11:58,550
+مبتعدة chain واحدة منهم بتلعب دوري كبير في ال
+
+142
+00:11:58,550 --> 00:12:03,010
+signal transduction وهي ال gamma chain gamma chain
+
+143
+00:12:03,010 --> 00:12:05,690
+وبالتالي غيابها يعني مافيش signal transduction
+
+144
+00:12:05,690 --> 00:12:10,270
+وبالتالي مافيش transcription for this gene ماشي
+
+145
+00:12:10,270 --> 00:12:16,330
+وبالتالي كل ال function لهذه ال cytokine will be
+
+146
+00:12:16,330 --> 00:12:22,950
+missed المرض
+
+147
+00:12:22,950 --> 00:12:30,260
+التاني ال witchesيعني similar to this disease هو
+
+148
+00:12:30,260 --> 00:12:34,880
+غياب الجزء التاني من ال receptor مش كبوليبين بتعدد
+
+149
+00:12:34,880 --> 00:12:39,000
+شينو انما ك functioning process اللي هو غياب الجاك
+
+150
+00:12:39,000 --> 00:12:44,900
+يوم ما يصير فيه غياب للجاك طبعا ما يصيرش فيه تغير
+
+151
+00:12:44,900 --> 00:12:47,440
+في ال gamma ومتما تغيرت بتاعة ال signal
+
+152
+00:12:47,440 --> 00:12:52,190
+transduction غياب الجاك أيضابرضه بعمل نفس الأعضاء
+
+153
+00:12:52,190 --> 00:12:57,950
+وبالتالي بيصير فيه غياب لل signal transduction هذا
+
+154
+00:12:57,950 --> 00:13:04,990
+X-linked وال Jack deficiency هو عبارة عن اتزوم ال
+
+155
+00:13:04,990 --> 00:13:12,290
+recessive disease اي
+
+156
+00:13:12,290 --> 00:13:15,670
+اتزوم ال recessive قلنا غياب ال Jack تلاتة هو
+
+157
+00:13:15,670 --> 00:13:21,290
+عبارة عن Tyrosine Kinase وطبعا غياببيعني مافيش
+
+158
+00:13:21,290 --> 00:13:24,950
+signal transduction ووجدوا ان ال expression of
+
+159
+00:13:24,950 --> 00:13:28,530
+Jack موجود في كل ال hemopoietic cells وبالتالي
+
+160
+00:13:28,530 --> 00:13:33,790
+مايصيرش في maturation للخلايا
+
+161
+00:13:33,790 --> 00:13:40,310
+هذه النقطة التانية T minus B minus ومن الأمراض
+
+162
+00:13:40,310 --> 00:13:46,830
+المشاركة في هذا ال group هو ال adenosine diamine
+
+163
+00:13:46,830 --> 00:13:52,160
+deficiencyوهذا عبارة عن نزاين بيلعب دور كبير في
+
+164
+00:13:52,160 --> 00:13:59,660
+الـ Purine pathway يمثل 20% من حالات الـ Skid وهو
+
+165
+00:13:59,660 --> 00:14:05,260
+عبارة عن autism recessive disease وغيابه بيعني
+
+166
+00:14:05,260 --> 00:14:11,720
+accumulation of toxic wastes بيصير في build up في
+
+167
+00:14:11,720 --> 00:14:20,200
+build up ليش لل toxic waste في الجسمطبعا it has
+
+168
+00:14:20,200 --> 00:14:24,340
+greatest impact of the immune على الجهاز المناعى
+
+169
+00:14:24,340 --> 00:14:29,880
+بيأدى للفيلير أو both T and B cell development بعد
+
+170
+00:14:29,880 --> 00:14:32,260
+تانى اللى هو purely nucleotide phosphorylase
+
+171
+00:14:32,260 --> 00:14:33,020
+deficiency
+
+172
+00:14:35,470 --> 00:14:39,610
+هذا سيؤدي أيضًا إلى بناء تجارب من أجهزة مخاطرة
+
+173
+00:14:39,610 --> 00:14:47,910
+خصوصًا هذه الأجهزة المخاطرة بإمكانها تدمر نظام
+
+174
+00:14:47,910 --> 00:14:52,930
+الهيولوجيا وبيأثر
+
+175
+00:14:52,930 --> 00:14:57,570
+أيضًا على الـ T-cell وبالتالي كل الانفويتشيو
+
+176
+00:14:57,570 --> 00:15:03,470
+مدفنين نوع تاني اللي هو Recombinase deficiency
+
+177
+00:15:04,630 --> 00:15:09,150
+أيضاً الـ Recombinase Deficiency نعرف أنه في
+
+178
+00:15:09,150 --> 00:15:13,610
+الجينات المسؤولة اللي هي RAG 1 و RAG 2 هما two
+
+179
+00:15:13,610 --> 00:15:16,750
+important genes موجودين فى الـ lymphocytes only
+
+180
+00:15:16,750 --> 00:15:21,710
+وبيلعبوا دور كبير فى ال rearrangement of both
+
+181
+00:15:21,710 --> 00:15:28,950
+immunoglobulin gene and TCR gene وبالتالي غيابهم
+
+182
+00:15:29,520 --> 00:15:34,520
+بيؤدي إلى خلل في الـ gene rearrangement وبالتالي
+
+183
+00:15:34,520 --> 00:15:38,600
+الـ mutation بتؤثر إلى complete absence تعمل
+
+184
+00:15:38,600 --> 00:15:43,440
+complete absence للـ T و B الانفسايت وبالتالي
+
+185
+00:15:43,440 --> 00:15:44,540
+مافيش immunoglobul
+
+186
+00:15:50,790 --> 00:15:56,210
+وبالتالي مافيش match or لأ تي ولا بي لأن ال
+
+187
+00:15:56,210 --> 00:16:04,670
+function is intact تي بلس بي ماعين اذا بيقولوا
+
+188
+00:16:06,040 --> 00:16:10,740
+وقالوا ان أشارها الـ Omen Syndrome والـ Omen
+
+189
+00:16:10,740 --> 00:16:17,280
+Syndrome أيضًا هو عبارة عن خلل بيصير فيه reduction
+
+190
+00:16:17,280 --> 00:16:21,420
+في ال or partial complete or partial reduction of
+
+191
+00:16:21,420 --> 00:16:27,900
+the rag genes وبالتالي بيصير فيه خلل في ال rag
+
+192
+00:16:27,900 --> 00:16:32,760
+activity ال clinical presentation زي وزي ال graft
+
+193
+00:16:32,760 --> 00:16:39,350
+versus host diseaseوالناس دولة تدفع هذه التحكمات
+
+194
+00:16:39,350 --> 00:16:44,390
+للنظام الانيونيو وهم لديهم جسد كبير جي تي
+
+195
+00:16:44,390 --> 00:16:51,550
+انفلتراتيشن من زينوفيل واكتفيت تي سيل تدفعنا ال
+
+196
+00:16:51,550 --> 00:16:57,290
+تيهيلبرتو باتوي سايتو كاين وهذا بيقدر الهيبر اي جي
+
+197
+00:16:57,290 --> 00:17:00,730
+اي سيندروم ومال نيوتراشين
+
+198
+00:17:03,450 --> 00:17:08,590
+المحاصلة مرضى من هذا النوع بيحتاج الى pre
+
+199
+00:17:08,590 --> 00:17:14,430
+-treatment with immunosuppressive drug ال
+
+200
+00:17:14,430 --> 00:17:21,550
+T plus B plus subgroup كل التنتين موجودين لكن they
+
+201
+00:17:21,550 --> 00:17:24,870
+are not functioning أشهر هذه الأمراض ال pair
+
+202
+00:17:24,870 --> 00:17:30,040
+lymphocyte syndromeده هو بيقدي الى results from
+
+203
+00:17:30,040 --> 00:17:34,920
+the failure to express HLA molecule والسبب في ذلك
+
+204
+00:17:34,920 --> 00:17:37,960
+طبعا مافيش HLA molecule يعني مافيش antigen
+
+205
+00:17:37,960 --> 00:17:45,220
+presentation بواسطة طبعا اللي هو HLA class 2
+
+206
+00:17:45,220 --> 00:17:48,680
+molecule deficiency في الغالب class 1 ممكن يكون
+
+207
+00:17:48,680 --> 00:17:54,470
+متأثر وممكن لأcirculating T and B cell may be
+
+208
+00:17:54,470 --> 00:18:00,110
+normal لكن في غياب ال HLA class 2 موليكيول ما
+
+209
+00:18:00,110 --> 00:18:07,180
+بيحصل فيه antigen presentation ل CD4 T cellالـ ZAP
+
+210
+00:18:07,180 --> 00:18:12,080
+-17 ميوتيشن هي عبارة عن كيميكال
+
+211
+00:18:12,080 --> 00:18:19,620
+ميسنجر بيعمل نقل للإشارة بمنخد
+
+212
+00:18:19,620 --> 00:18:21,700
+TCR للنوكلياس وهو نقل للإشارة بمنخد TCR للنوكلياس
+
+213
+00:18:21,700 --> 00:18:24,800
+وهو نقل للإشارة بمنخد TCR للنوكلياس وهو نقل
+
+214
+00:18:24,800 --> 00:18:27,880
+للإشارة
+
+215
+00:18:27,880 --> 00:18:31,840
+بمنخد TCR للنوكلياسشوفوا هذه العلاقة ما أحلاها
+
+216
+00:18:31,840 --> 00:18:37,580
+نعرف انه في عندنا antigen presenting cell ماشي
+
+217
+00:18:37,580 --> 00:18:43,160
+بتقدم اللي هو
+
+218
+00:18:43,160 --> 00:18:47,400
+telophosize
+
+219
+00:18:47,400 --> 00:18:56,040
+ال antigen ل telophosize و طبعاسواء كانت الـ
+
+220
+00:18:56,040 --> 00:19:01,140
+Antigen Presenting Cell Macrophage او B Cell تنتهي
+
+221
+00:19:01,140 --> 00:19:05,660
+بقدم الانتجين لمن؟ لـ T-Lymphocyte شوفوا احتمالات
+
+222
+00:19:05,660 --> 00:19:09,340
+الخلال كيف بتصير قبل احتمال يصير فيه خلال في ال
+
+223
+00:19:09,340 --> 00:19:13,220
+MSC Class II بيعمل مرض يسمونه Pale Lymphocyte
+
+224
+00:19:13,220 --> 00:19:16,740
+Syndrome حاجة نقال متوم احتمال الخلاز يكون في ال
+
+225
+00:19:16,740 --> 00:19:20,860
+FAS او ال FAS Legend و هيعمل FAS Deficiency
+
+226
+00:19:20,860 --> 00:19:27,110
+Syndromeو احتمال الخلق يكون في CD40 legend و CD40
+
+227
+00:19:27,110 --> 00:19:30,590
+legend موجود على ال T cell بيعمل حاجة بيسموها
+
+228
+00:19:30,590 --> 00:19:37,990
+Hyper IgM Syndrome اثر
+
+229
+00:19:37,990 --> 00:19:43,150
+Multi System Disorders بالاضافة لل skid في skid
+
+230
+00:19:43,150 --> 00:19:48,190
+like clinical picture associated with certain
+
+231
+00:19:48,190 --> 00:19:52,000
+disease زي Stuttgart-Aldrich Syndromeودا اسمه
+
+232
+00:19:52,000 --> 00:19:56,940
+syndrome عبارة عن x-linked disease بيتمثل بالقاتل
+
+233
+00:19:56,940 --> 00:20:00,860
+نمرا واحد في bleeding لأنه فيه thrombocytopenia
+
+234
+00:20:00,860 --> 00:20:04,340
+نمرا اتنين في recurrent bacterial infection في
+
+235
+00:20:04,340 --> 00:20:12,200
+allergic reaction في long term patient ممكن يجلب ل
+
+236
+00:20:12,200 --> 00:20:18,680
+malignant disease و ال genetic basisنت يعني
+
+237
+00:20:18,680 --> 00:20:24,580
+ميوتيشن في الـ X-linked gene اللي بيقدّي الى a
+
+238
+00:20:24,580 --> 00:20:29,940
+witch code for ويسكوت ألدريخ سندروم بروتين وهذا
+
+239
+00:20:29,940 --> 00:20:35,400
+موجود في كل الـ hemopoietic stem cells both T and
+
+240
+00:20:35,400 --> 00:20:38,220
+B cell are functionally non abnormal
+
+241
+00:20:40,700 --> 00:20:47,340
+وبالتالي لا يمكن الشخص ان يتفاعل بـ Polysaccharide
+
+242
+00:20:47,340 --> 00:20:51,640
+Antigen التعامل في هذه الحالة يحتاج إلى Antibiotic
+
+243
+00:20:51,640 --> 00:20:57,600
+وAntiviral و بولمارو ترانسبلانتيشن و بدون هذا
+
+244
+00:20:57,600 --> 00:21:02,260
+العلاج ال life expectancy لا تتعدى تلت سنوات
+
+245
+00:21:02,260 --> 00:21:09,180
+أتاكسيا تلانجكتازيامن القصير برضه مرضى system
+
+246
+00:21:09,180 --> 00:21:14,320
+genetic disorders بيتمثل بالقاتل بيصير فيه jerky
+
+247
+00:21:14,320 --> 00:21:19,480
+movement or lack of muscle coordination ونمر اتنين
+
+248
+00:21:19,480 --> 00:21:24,170
+abnormal vascular dilatation تلعنجكتازيةفي الـ eye
+
+249
+00:21:24,170 --> 00:21:28,570
+و ال skin و بزيادة ال susceptibility to infection
+
+250
+00:21:28,570 --> 00:21:34,870
+بيصير اندولنفومة و ال defect في ال both B و T cell
+
+251
+00:21:34,870 --> 00:21:40,270
+ال gene طبعا of ataxia telangiectasia code for a
+
+252
+00:21:40,270 --> 00:21:46,490
+protein known ATM الأطفال have a risk for
+
+253
+00:21:46,490 --> 00:21:51,870
+developing malignancy خصوصا ال lymphoid neoplasm
+
+254
+00:21:55,810 --> 00:22:01,390
+الـ category التاني هو ال immune deficiency
+
+255
+00:22:01,390 --> 00:22:04,030
+disorder associated with T cell and cell-mediated
+
+256
+00:22:04,030 --> 00:22:08,510
+immunity قالوا الناس هدولة مش عندهم T cell
+
+257
+00:22:08,510 --> 00:22:12,790
+associated deficiency disease انه اتفقنا على ان ال
+
+258
+00:22:12,790 --> 00:22:19,090
+T cell deficiency ماهيشي associated with اللي هو
+
+259
+00:22:19,090 --> 00:22:21,810
+disease زي ال viral fungal protozoal infection
+
+260
+00:22:23,590 --> 00:22:26,890
+وكلنا بنعرف إن الـ T-Lymphocyte بتساعد الـ B
+
+261
+00:22:26,890 --> 00:22:30,730
+-Lymphocyte في إنتاج الـ antibody which antibody
+
+262
+00:22:30,730 --> 00:22:36,430
+would form T cell dependent antigen وغياب or T
+
+263
+00:22:36,430 --> 00:22:40,810
+cell associated deficiency هيعمل selective defect
+
+264
+00:22:40,810 --> 00:22:46,170
+in antibody production وبالتالي T cell deficient
+
+265
+00:22:46,170 --> 00:22:51,430
+patient have difficultto distinguish have
+
+266
+00:22:51,430 --> 00:22:55,850
+difficulty to distinguish clinically to be
+
+267
+00:22:55,850 --> 00:23:00,270
+distinguished clinically from a skeptic patient ما
+
+268
+00:23:00,270 --> 00:23:05,450
+زال ال B و ال T مش موجودة يبقى كمان ال B مش راح
+
+269
+00:23:05,450 --> 00:23:09,350
+تشتغل Congenital
+
+270
+00:23:09,350 --> 00:23:13,890
+Thymic Aplasia اللي هو ديجارد سندروم قلنا هذا في
+
+271
+00:23:13,890 --> 00:23:20,950
+مراحل مبكرة جدا بصير اذا فاكرين في رقم اتنينفي الـ
+
+272
+00:23:20,950 --> 00:23:26,110
+T cell hemopoietic maturation steps المهم دي جورج
+
+273
+00:23:26,110 --> 00:23:31,070
+سندروم بيعني انه فيه T cell deficiency و in which
+
+274
+00:23:31,070 --> 00:23:34,770
+the cell must develop abnormally مافيش ايش مافيش
+
+275
+00:23:34,770 --> 00:23:38,950
+development يبقى مافي إنتاج ل T lymphocyte no T
+
+276
+00:23:38,950 --> 00:23:46,310
+cell و نقول إن الخلل ناتج عن defective migration
+
+277
+00:23:46,310 --> 00:23:51,420
+of fetal neural crest cellsالثالثة والتالتة
+
+278
+00:23:51,420 --> 00:23:58,280
+مصطلحات الفرنجيال وبالتالي المريض الهارد والفيس
+
+279
+00:23:58,280 --> 00:24:05,480
+يتطور بشكل طبيعي وبرضه الثايمس والبراثيرويد لا يتم
+
+280
+00:24:05,480 --> 00:24:08,820
+تصميم هذا يؤدي إلى ثايمك أبليجيا
+
+281
+00:24:08,820 --> 00:24:14,640
+وhypoparathyroidism ثايمك
+
+282
+00:24:14,640 --> 00:24:18,940
+أبليجيا ينتهي في مفاجأة مدرسة مدرسة مدرسة مدرسة
+
+283
+00:24:19,890 --> 00:24:24,170
+Dudler's syndrome هو مش hereditary disease وانما
+
+284
+00:24:24,170 --> 00:24:31,990
+بيصير فيه Sporadic deficiency in chromosome 22q11
+
+285
+00:24:31,990 --> 00:24:36,990
+or deletion طبعا هدول المرضى بيصير في عندهم
+
+286
+00:24:36,990 --> 00:24:40,350
+recurrent of or chronic infection with viruses
+
+287
+00:24:40,350 --> 00:24:47,810
+بكتيريا فنجاى بروتوزوهو و الناس هدول عندهم قياب لل
+
+288
+00:24:47,810 --> 00:24:54,090
+T cellأيضًا فشلت تجري على تجارب الانتباه هذه
+
+289
+00:24:54,090 --> 00:24:56,730
+الأشخاص لا يجب أن يكونوا مميزين بواسطة مواجهة
+
+290
+00:24:56,730 --> 00:24:58,610
+مواجهة مواجهة مواجهة مواجهة مواجهة مواجهة مواجهة
+
+291
+00:24:58,610 --> 00:25:02,910
+مواجهة مواجهة مواجهة
+
+292
+00:25:03,160 --> 00:25:06,740
+with normal peripheral T cell number يعني فيه
+
+293
+00:25:06,740 --> 00:25:12,140
+normal T lymphocyte لكن في نفس الوقت فشي فشي
+
+294
+00:25:12,140 --> 00:25:17,960
+function ادى functional defect فى T cell ايضا
+
+295
+00:25:17,960 --> 00:25:22,260
+opportunistic infection and high incidence of
+
+296
+00:25:22,260 --> 00:25:27,140
+autoimmune disease ملاحظات it's autosomal
+
+297
+00:25:27,140 --> 00:25:32,200
+recessive pattern وطبعا هو عبارة عن heterogeneous
+
+298
+00:25:32,200 --> 00:25:38,880
+groupأيضا يشمل غياب لل ZAP-17 تيروزينكينيز CD3E
+
+299
+00:25:38,880 --> 00:25:45,860
+وCD3G هو هذه الموليكيول المتعلقة بالإشعار T-cell
+
+300
+00:25:45,860 --> 00:25:55,840
+وبالتالي مافيش فانكشف Autoimmune
+
+301
+00:25:55,840 --> 00:26:01,920
+lymphoproliferative disease اوأيضاً إنها تسمى بـ
+
+302
+00:26:01,920 --> 00:26:06,300
+Inherited by Massive Proliferation of Lymphoid
+
+303
+00:26:06,300 --> 00:26:08,980
+Tissue وبدأت
+
+304
+00:26:08,980 --> 00:26:27,160
+يتطططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططط
+
+305
+00:26:32,150 --> 00:26:35,050
+عامل الـ autoimmune lymphoproliferative الشخصية أو
+
+306
+00:26:35,050 --> 00:26:43,170
+الشخصية السينامية لديها ميوتيشن في الـ FAS جين
+
+307
+00:26:43,170 --> 00:26:51,870
+يتعامل مع الـ FAS بروتين CD95 يتعامل مع الـ
+
+308
+00:26:51,870 --> 00:27:00,350
+Apoptosis signaling لديهم واحد طبيعي وواحد ميوتيت
+
+309
+00:27:00,350 --> 00:27:07,140
+FAS موليكولوهذا بيؤدي او that mutated phase
+
+310
+00:27:07,140 --> 00:27:11,140
+molecule interfere with the function of normal
+
+311
+00:27:11,140 --> 00:27:15,780
+molecule طبعا ال mutated هو اللي بيتدخل في ال
+
+312
+00:27:15,780 --> 00:27:20,420
+function of normal molecule these patients have
+
+313
+00:27:20,420 --> 00:27:25,840
+defect in other component of apoptosis pathway زي
+
+314
+00:27:25,840 --> 00:27:29,120
+ال phase ligand or case base 10
+
+315
+00:27:31,670 --> 00:27:37,270
+Chronic Mucocutaneous Candidiasis بيه من الاسم
+
+316
+00:27:37,270 --> 00:27:42,250
+Candidiasis يعني فيه Candida infection of skin and
+
+317
+00:27:42,250 --> 00:27:47,830
+mucous membrane غالبا المرضى have normal T cell
+
+318
+00:27:47,830 --> 00:27:52,070
+mediated immunity to microorganism other than
+
+319
+00:27:52,070 --> 00:27:56,810
+Candida and normal B cell mediated immunityto all
+
+320
+00:27:56,810 --> 00:28:04,190
+microorganism بما فيها ال Canada يعني الخلل في
+
+321
+00:28:04,190 --> 00:28:09,210
+ايه؟ في ال T-lymphocyte which can respond to all
+
+322
+00:28:09,210 --> 00:28:12,930
+ال micro part مع ال Canada بينما ال B-lymphocyte
+
+323
+00:28:12,930 --> 00:28:17,350
+is normal they have selective defect in the
+
+324
+00:28:17,350 --> 00:28:20,210
+functional of T cell
+
+325
+00:28:23,500 --> 00:28:28,520
+التاني هو ال BCL-R immunoglobulin associated
+
+326
+00:28:28,520 --> 00:28:33,400
+immunodeficiency وأشهر
+
+327
+00:28:33,400 --> 00:28:36,980
+مثال على ذلك بروتون اي جاما غلوبيلانينيا وهو عبارة
+
+328
+00:28:36,980 --> 00:28:42,340
+عن X-linked infantile اي جاما غلوبيلانينيا الأطفال
+
+329
+00:28:42,340 --> 00:28:48,260
+من Infanta الأطفال present with serious unrepeated
+
+330
+00:28:48,260 --> 00:28:52,390
+infectionوسبب في ذلك is severe depression or
+
+331
+00:28:52,390 --> 00:28:56,710
+virtual absence of all immunoglobulin نحنا بنحكي
+
+332
+00:28:56,710 --> 00:29:00,890
+عليها protons يعني مافيش بي سل مافيش ايش بي
+
+333
+00:29:00,890 --> 00:29:06,650
+lymphocyte معناته مافيش antibody production طبعا
+
+334
+00:29:06,650 --> 00:29:11,250
+ال major defect وجدوه انه في عدم قدرة البيت انها
+
+335
+00:29:11,250 --> 00:29:19,290
+تجلب to be mature as B cell protons جين
+
+336
+00:29:20,990 --> 00:29:28,470
+تم تغييره بطريقة X مرتبطة هذه
+
+337
+00:29:28,470 --> 00:29:33,710
+الجيوانات تدعى تيروزين كينيز انزعيم موجود في
+
+338
+00:29:33,710 --> 00:29:39,150
+الـCytosol XLA
+
+339
+00:29:39,150 --> 00:29:44,810
+تم تحيطه لعقل عقلي المتوسط المتوسط
+
+340
+00:29:44,810 --> 00:29:46,210
+الموجود في الـCytoplasmic
+
+341
+00:29:49,190 --> 00:29:53,930
+Patient suffered repeated infection Treatment طبعا
+
+342
+00:29:53,930 --> 00:29:57,490
+Periodic injection of intravenous gamma globulin
+
+343
+00:29:57,490 --> 00:30:04,670
+بيحتوي على IgG Transient
+
+344
+00:30:04,670 --> 00:30:10,990
+Hypo Gamma Globulinemia اسم Transient في عمر خمسة
+
+345
+00:30:10,990 --> 00:30:16,940
+لست شهوربيصير فيه Passively transferred from
+
+346
+00:30:16,940 --> 00:30:26,980
+maternal to fetus of IgG antibody وطبعا
+
+347
+00:30:26,980 --> 00:30:36,140
+في هذه الحالة بيبدأ ال IGG بيبدأ يظهر
+
+348
+00:30:36,140 --> 00:30:44,810
+اللي هو ال infant IGG premature infantممكن يصير
+
+349
+00:30:44,810 --> 00:30:49,570
+عنده Transient IgG Deficiency if they are not yet
+
+350
+00:30:49,570 --> 00:30:55,050
+able to synthesize immunoglobulin sometimes helper
+
+351
+00:30:55,050 --> 00:30:59,630
+T cells are deficient يعني بيصير فيه غياب في ال T
+
+352
+00:30:59,630 --> 00:31:04,030
+lymphocyte help وبالتالي مافيش Antibody production
+
+353
+00:31:04,030 --> 00:31:08,070
+أو B cell functioning يعني مافيش شيء this disease
+
+354
+00:31:08,070 --> 00:31:10,310
+may persist for a few months و
+
+355
+00:31:12,600 --> 00:31:17,900
+بالكتير لغاية سنتين it's not x-linked and should
+
+356
+00:31:17,900 --> 00:31:24,240
+be distinguished from x-linked disease خلال وجود
+
+357
+00:31:24,240 --> 00:31:29,460
+ال normal number of B cells immunization should
+
+358
+00:31:29,460 --> 00:31:33,800
+not be given during this period common variable
+
+359
+00:31:33,800 --> 00:31:38,120
+immunodeficiency من الإسم it's characterized by
+
+360
+00:31:38,120 --> 00:31:39,280
+غياب
+
+361
+00:31:43,570 --> 00:31:51,510
+ماشي او reduction في ال serum IgG و IgA و بيكون في
+
+362
+00:31:51,510 --> 00:31:57,890
+عنده IgM normal او low و طبعا في normal او low
+
+363
+00:31:57,890 --> 00:32:03,950
+برفر ال B cell number ال B cell fails to mature
+
+364
+00:32:03,950 --> 00:32:09,650
+into plasma cellوالمرضى have recurrent respiratory
+
+365
+00:32:09,650 --> 00:32:13,550
+and gastrointestinal infection treatment by
+
+366
+00:32:13,550 --> 00:32:22,850
+intravenous immunoglobulin selective
+
+367
+00:32:22,850 --> 00:32:29,160
+immunoglobulin deficiencyالـ IgA-Deficiency غالبا
+
+368
+00:32:29,160 --> 00:32:31,860
+مرضى بس يكون عندهم recurrent viral or bacterial
+
+369
+00:32:31,860 --> 00:32:35,300
+infection, celiac disease, defective absorption
+
+370
+00:32:35,300 --> 00:32:39,060
+and repel اللي هو عبارة عن الـ celiac or maybe
+
+371
+00:32:39,060 --> 00:32:43,720
+entirely asymptomatic، treatment بده pro-the
+
+372
+00:32:43,720 --> 00:32:47,360
+spectrum antibiotic، IgM-Deficiency، rare
+
+373
+00:32:47,360 --> 00:32:52,300
+disorders وطبعاالمرضى بيعانوا من recurrent and
+
+374
+00:32:52,300 --> 00:32:54,740
+severe infection with polysaccharide antigen
+
+375
+00:32:54,740 --> 00:32:59,840
+-encapsulated organism زي pneumonia أو pneumococci
+
+376
+00:32:59,840 --> 00:33:05,040
+and hemophilus inflammation ال disorders of T and
+
+377
+00:33:05,040 --> 00:33:11,780
+B interaction زي الhyper IgM syndrome وهو عبارة عن
+
+378
+00:33:11,780 --> 00:33:18,150
+hyper X-linked hyper IgM syndromePresent with
+
+379
+00:33:18,150 --> 00:33:22,530
+recurrent respiratory infection من أول سنة إلى
+
+380
+00:33:22,530 --> 00:33:27,670
+سنتين من العمر ميتيشن موجودة في CD40-ligand جين
+
+381
+00:33:27,670 --> 00:33:32,010
+الموجود على الإكسي كرومزوم اللي يبقى بيقدي إلى
+
+382
+00:33:32,010 --> 00:33:37,890
+CD40-ligand وبالتالي في الشيء
+
+383
+00:33:40,910 --> 00:33:45,050
+سيجنال ترانزدكشن يعني مافيش فانكشن CD40 لجن برت
+
+384
+00:33:45,050 --> 00:33:50,390
+برت مع CD40 موجود على سطح بي لينفوسايت وطبعا this
+
+385
+00:33:50,390 --> 00:33:57,810
+interaction rescue the B cell from apoptosis X
+
+386
+00:33:57,810 --> 00:34:00,990
+-linked lymph proliferative disease Duncan
+
+387
+00:34:00,990 --> 00:34:08,070
+syndrome وهذه بيصير في عدم قدرة عند ال T cell to
+
+388
+00:34:08,070 --> 00:34:13,700
+regulate B cell growthهو بيعتبر major part of the
+
+389
+00:34:13,700 --> 00:34:19,820
+underlying disease
+
+390
+00:34:19,820 --> 00:34:24,220
+يعني this mechanism deficiency هو الأساس في
+
+391
+00:34:24,220 --> 00:34:29,730
+الموضوع ال lymphoma incidence is highوانتقل للـ
+
+392
+00:34:29,730 --> 00:34:35,090
+phagocytic function فقط
+
+393
+00:34:35,090 --> 00:34:40,930
+للتذكير الفاجوسيتك فانكشن يعني إذا كان فيه خلل في
+
+394
+00:34:40,930 --> 00:34:48,910
+خطوات الفاجوسيتس فقط للتذكير الفاجوسيتس خطوات
+
+395
+00:34:48,910 --> 00:34:54,620
+الفاجوسيتس هي أدهيجينثم ال diabetes ثم ال
+
+396
+00:34:54,620 --> 00:35:00,340
+chemotaxis ثم الفاجو سايتوسيث ثم ال killing و
+
+397
+00:35:00,340 --> 00:35:07,080
+التالي في غياب في كل مرحلة من المراحل هذه يؤدي لها
+
+398
+00:35:07,080 --> 00:35:11,280
+كل مرحلة is combined or is associated with certain
+
+399
+00:35:11,280 --> 00:35:18,460
+disease ماشي اذا صار فيه برضه الخلل مضري معناته كل
+
+400
+00:35:18,460 --> 00:35:22,550
+المراحل اللي قد تليها واقفةوإذا كان الخلل حدث
+
+401
+00:35:22,550 --> 00:35:27,990
+مثلًا مثلًا في اللاد مثلًا مثلًا مثلًا مثلًا مثلًا
+
+402
+00:35:27,990 --> 00:35:29,070
+مثلًا مثلًا مثلًا مثلًا مثلًا مثلًا مثلًا مثلًا
+
+403
+00:35:29,070 --> 00:35:32,470
+مثلًا مثلن مثلن مثلن مثلن مثلن مثلن مثلن مثلن مثلن
+
+404
+00:35:32,470 --> 00:35:33,030
+مثلن مثلن مثلن مثلن مثلن مثلن مثلن مثلن مثلن مثلن
+
+405
+00:35:33,030 --> 00:35:37,450
+مثلن مثلن مثلن مثلن مثلن مثلن مثلن مثلن مثلن مثلن
+
+406
+00:35:37,450 --> 00:35:43,450
+مثلن مثلن مثلن مثلن
+
+407
+00:35:44,920 --> 00:35:49,480
+LAD هو برنامج group of disorders بيتميز من بيصير
+
+408
+00:35:49,480 --> 00:35:52,560
+فيه خلل في ال interaction ما بين ال leukocyte مع
+
+409
+00:35:52,560 --> 00:36:00,660
+ال vascular endothelial cells و طبعا هاي المراحل
+
+410
+00:36:00,660 --> 00:36:04,700
+طبعا جالوا فيه اكتر من مرحلة لل LAD disease و
+
+411
+00:36:04,700 --> 00:36:09,240
+قسموها لتلت مراحل LAD 1, LAD 2, LAD 3 و زي ما
+
+412
+00:36:09,240 --> 00:36:13,400
+انتوا شايفين في LAD 1 بيصير فيه خلل في ال diabetes
+
+413
+00:36:15,830 --> 00:36:20,730
+في الهد اتنين بيصير فيه خلل في ال adhesion في الهد
+
+414
+00:36:20,730 --> 00:36:23,330
+التلاتة بيصير فيه خلل في ال activation اللي هي
+
+415
+00:36:23,330 --> 00:36:27,450
+الفاجو سيتوسس بيصير فيها خلل ماشي اليوم بيصير فيه
+
+416
+00:36:27,450 --> 00:36:33,290
+خلل في واحد اللي هي ال adhesion أول واحدة بيصير
+
+417
+00:36:33,290 --> 00:36:38,130
+فيه خلل في كل هذه المراحل ماشي فاليوم بيصير فيه
+
+418
+00:36:38,130 --> 00:36:41,270
+خلل في أخر واحدة اللي هي ال activationطبعا بيحصل
+
+419
+00:36:41,270 --> 00:36:51,110
+فيه أمراض زي الـ Chediac Higashi Syndrom وCDD هاي
+
+420
+00:36:51,110 --> 00:36:53,510
+اللي هاد واحد حضر عن الـ autosomal recessive
+
+421
+00:36:53,510 --> 00:36:58,870
+disease مهابينج تو كروموزومانوم 22 المرضى عندهم ال
+
+422
+00:36:58,870 --> 00:37:03,690
+effect ان هتكون subunits of integrin molecule وهذا
+
+423
+00:37:03,690 --> 00:37:09,210
+بيقدي إلى اللي هو انه adhesion to feel adhesion
+
+424
+00:37:09,210 --> 00:37:12,740
+and migrationof all white blood cells in the army
+
+425
+00:37:14,860 --> 00:37:18,980
+في الأدواح المرضى يحصل عندهم current soft tissue
+
+426
+00:37:18,980 --> 00:37:22,760
+bacterial infection ويزيد الوقت blood cell count
+
+427
+00:37:22,760 --> 00:37:27,540
+لكن بدون bus formation يعني مافي activity ومافيش
+
+428
+00:37:27,540 --> 00:37:31,060
+كل الأخمات اللي ورا ال adhesion او ال effecting
+
+429
+00:37:31,060 --> 00:37:35,140
+wound healing lymphocyte function is also affected
+
+430
+00:37:35,140 --> 00:37:39,500
+due to the lack of lymphocyte functioning antigen
+
+431
+00:37:39,500 --> 00:37:44,860
+one expressionالـ Add to قلنا بيصير فيه defect in
+
+432
+00:37:44,860 --> 00:37:50,180
+selecting الـ legend والـ underlying defect اللي
+
+433
+00:37:50,180 --> 00:37:54,400
+هو Add to بيصير
+
+434
+00:37:54,400 --> 00:37:58,700
+فيه أيضًا خلال الفيلم فيوكوز متع Polism وده بيقد
+
+435
+00:37:58,700 --> 00:38:03,140
+إلى غياب فيوكوز ليت ال legend for selecting to be
+
+436
+00:38:03,140 --> 00:38:08,560
+bind وده مثل أو صورة حلوة لهذا الموضوع الاد واحد
+
+437
+00:38:08,560 --> 00:38:18,290
+في الشيءهي عبارة عن اتيجينماشي لد اتنين عبارة عن
+
+438
+00:38:18,290 --> 00:38:24,270
+rolling Selected تكون غير رقم تلاتة اللي هو ال
+
+439
+00:38:24,270 --> 00:38:31,110
+activation is defected طبعا هذا كله في لد واحد بس
+
+440
+00:38:31,110 --> 00:38:36,070
+فيه خلال في الارتباط و ال transmigration اللي هو
+
+441
+00:38:45,690 --> 00:38:52,590
+انتجرانيال او أوريجانيلي بيصير
+
+442
+00:38:52,590 --> 00:38:57,750
+في عندها قلة في ال interest of the organism و this
+
+443
+00:38:57,750 --> 00:39:00,470
+results in
+
+444
+00:39:02,700 --> 00:39:11,060
+فاجوزوم فرمشي أو فاجوزوم فرمشي او
+
+445
+00:39:11,060 --> 00:39:11,740
+فاجوزوم فرمشي او فاجوزوم فرمشي او فاجوزوم فرمشي او
+
+446
+00:39:11,740 --> 00:39:17,280
+فاجوزوم فرمشي او فاجوزوم فرمشي او فاجوزوم فرمشي او
+
+447
+00:39:17,280 --> 00:39:22,200
+فاجوزوم فرمشي او فاجوزوم
+
+448
+00:39:23,380 --> 00:39:26,020
+مخلوق كبير من المخلوق المخلوق المخلوق المخلوق
+
+449
+00:39:26,020 --> 00:39:27,180
+المخلوق المخلوق المخلوق المخلوق المخلوق المخلوق
+
+450
+00:39:27,180 --> 00:39:30,020
+المخلوق المخلوق المخلوق المخلوق المخلوق المخلوق
+
+451
+00:39:30,020 --> 00:39:31,620
+المخلوق المخلوق المخلوق المخلوق المخلوق المخلوق
+
+452
+00:39:31,620 --> 00:39:33,240
+المخلوق المخلوق المخلوق المخلوق المخلوق المخلوق
+
+453
+00:39:33,240 --> 00:39:38,680
+المخلوق المخلوق المخلوق
+
+454
+00:39:38,680 --> 00:39:40,940
+المخلوق المخلوق المخلوق المخلوق المخلوق المخلوق
+
+455
+00:39:40,940 --> 00:39:46,160
+المخلوق المخلوق المخلوق المخلوق المخلوق
+
+456
+00:39:48,980 --> 00:39:53,040
+وبالتالي بيحصل فيه عملية phagocytosis لكن مافيه
+
+457
+00:39:53,040 --> 00:39:57,600
+killing وبيحصل فيه intracellular survival
+
+458
+00:39:57,600 --> 00:40:03,060
+فالorganism بيؤدي لgranuloma formation ميوتيشن
+
+459
+00:40:03,060 --> 00:40:06,380
+وجدوها في ال enzymes which catalyzes the
+
+460
+00:40:06,380 --> 00:40:10,800
+respiratory burst وبيحصل
+
+461
+00:40:10,800 --> 00:40:17,120
+فيه قلة في الintracellular killing محصلة او غياب
+
+462
+00:40:19,320 --> 00:40:22,700
+وبنلاحظ هذه الحالات في أول شهر أو أول سنتين من
+
+463
+00:40:22,700 --> 00:40:31,400
+العمر بيصير عنده recurrent infection حتى أضعف ال
+
+464
+00:40:31,400 --> 00:40:35,660
+microbes مرة
+
+465
+00:40:35,660 --> 00:40:40,720
+أخر interferon جامع receptor deficiency بيصير فيه
+
+466
+00:40:40,720 --> 00:40:43,900
+mutation في ال interferon عائلة أخرى من عائلات ال
+
+467
+00:40:43,900 --> 00:40:48,030
+receptorبيؤدي الى inability of a monocyte to
+
+468
+00:40:48,030 --> 00:40:53,450
+respond to Gamma Interferon وبالتالي
+
+469
+00:40:53,450 --> 00:40:56,430
+في الsecretion of the tumor necrosis factor Alpha
+
+470
+00:40:56,430 --> 00:41:01,850
+ال patient are susceptible to weakly pathogenic
+
+471
+00:41:01,850 --> 00:41:03,290
+mycobacteria
+
+472
+00:41:06,330 --> 00:41:10,090
+هو الـ Natural Killer Cell Deficiency اللي نعرفه
+
+473
+00:41:10,090 --> 00:41:15,130
+بياب الـ Anky cell بيؤدي الى الـ Impaired
+
+474
+00:41:15,130 --> 00:41:19,090
+Allograft Rejection مفيش شيء الـ Impairment
+
+475
+00:41:19,090 --> 00:41:24,930
+Rejection And is linked to higher susceptibility
+
+476
+00:41:24,930 --> 00:41:29,170
+to viral disease و بيصير فيه metastasis from tumor
+
+477
+00:41:31,140 --> 00:41:36,500
+الـ Ankyl cells seen in Skid some T and phagocytic
+
+478
+00:41:36,500 --> 00:41:40,540
+cell disorder and in X-linked lymphoprotective
+
+479
+00:41:40,540 --> 00:41:47,360
+syndrome الأوراق
+
+480
+00:41:47,360 --> 00:41:56,880
+اللي بتتعلق بال complement يعني ال ..الـ
+
+481
+00:41:56,880 --> 00:42:00,180
+complement component الأولانية مهمة جدًا for
+
+482
+00:42:00,180 --> 00:42:07,300
+obsolete زي C3P غالبًا deficiency of complement is
+
+483
+00:42:07,300 --> 00:42:14,700
+associated with SLE disease وهي ال complement
+
+484
+00:42:14,700 --> 00:42:22,740
+يأسكي بميكانزم classical و alternative طبعًا
+
+485
+00:42:22,740 --> 00:42:32,270
+زي ما انتوا شايفيناللي هو سواء كان alternative او
+
+486
+00:42:32,270 --> 00:42:38,110
+lectin pathway او even classical غيابها بيدي لديها
+
+487
+00:42:38,110 --> 00:42:42,330
+diseases مختلفة ففي البداية infections with
+
+488
+00:42:42,330 --> 00:42:46,630
+encapsulated microorganismبقدم شوية robotoid
+
+489
+00:42:46,630 --> 00:42:51,190
+disease واسئل ايه تحت اذا كان في الماك او ال
+
+490
+00:42:51,190 --> 00:42:56,830
+memory attack complex بصير فيه نيسيريا جنورية او
+
+491
+00:42:56,830 --> 00:43:03,260
+نيسيريا مفكشةأي مريض بـ Deficiency of C1,4,2 اللي
+
+492
+00:43:03,260 --> 00:43:07,160
+هو البدايات من الـ Classical Pathway أو C3
+
+493
+00:43:07,160 --> 00:43:11,100
+Deficiency نفسها بيصير فيه زيادة في الـ Infection
+
+494
+00:43:11,100 --> 00:43:14,180
+أو الـ Encapsulated Microorganism حسب الجدول اللي
+
+495
+00:43:14,180 --> 00:43:18,080
+شوفناه طوي زي Streptococcus pneumonia و الـ Biogen
+
+496
+00:43:18,080 --> 00:43:24,720
+و الانفلونزا و أزمة رومانسية بسبب تنظيف غير صحيح
+
+497
+00:43:24,720 --> 00:43:25,480
+للمعاملات الاميونية
+
+498
+00:43:29,040 --> 00:43:33,640
+الـ Deficiency of the man knows by the lectin
+
+499
+00:43:33,640 --> 00:43:38,100
+بيأدى الى طبعا الموجود على ال surface of microbe
+
+500
+00:43:38,100 --> 00:43:45,040
+with or without antibody and activate the
+
+501
+00:43:45,040 --> 00:43:50,240
+classical pathwayأيضًا بيؤدي غيابه إلى risk of
+
+502
+00:43:50,240 --> 00:43:56,380
+infection and SLE-like symptoms غياب C3 associated
+
+503
+00:43:56,380 --> 00:44:04,700
+with symptoms خصوصًا ال complications تبعتها غياب
+
+504
+00:44:04,700 --> 00:44:08,480
+ال lead complement component في الآخر يعني ال MAC
+
+505
+00:44:08,480 --> 00:44:14,160
+زي C56789 اللي بيكونوا ال MAC اللي هو membrane
+
+506
+00:44:14,160 --> 00:44:21,270
+attack complexIt's directly related to the primary
+
+507
+00:44:21,270 --> 00:44:27,010
+defect against gram-negative bacteria خصوصا
+
+508
+00:44:27,010 --> 00:44:30,450
+نيسيرياDefective
+
+509
+00:44:30,450 --> 00:44:34,010
+control of the complement component يعني حتى ال
+
+510
+00:44:34,010 --> 00:44:37,930
+control اذا صار فيه deficiency زي ال hereditary
+
+511
+00:44:37,930 --> 00:44:43,850
+angioedema مشهورة كتير غياب C1 esterase inhibitor
+
+512
+00:44:45,150 --> 00:44:51,370
+بيدى الى اللى هو ال hereditary angioedema طبعا
+
+513
+00:44:51,370 --> 00:44:54,590
+كمية كبيرة من ال vasoactive peptide patient
+
+514
+00:44:54,590 --> 00:44:59,370
+suffering from localized edema و it's life
+
+515
+00:44:59,370 --> 00:45:03,850
+threatening when it occurs in the larynx اه طبعا
+
+516
+00:45:03,850 --> 00:45:07,230
+بيصير فيه اش edema في ال larynx و التانى بيصير فيه
+
+517
+00:45:07,230 --> 00:45:12,730
+obstruction لل airway pathway treatment
+
+518
+00:45:12,730 --> 00:45:19,410
+غالباavoid trauma and infusion of C1 esterase
+
+519
+00:45:19,410 --> 00:45:25,350
+inhibitor.الجليكوزين الفسفة دي ال enacetol protein
+
+520
+00:45:25,350 --> 00:45:33,270
+deficiency نعرف ان هذا بلعب دور كبير في ال as
+
+521
+00:45:33,270 --> 00:45:35,670
+anchored protein
+
+522
+00:45:37,690 --> 00:45:44,190
+هذا عبارة عن عائلة من البروتينات والجليكوزيه
+
+523
+00:45:44,190 --> 00:45:48,530
+الفوسفات ديال الناسيتوه الانكولات is expressed على
+
+524
+00:45:48,530 --> 00:45:51,110
+ال membrane of RBCs lymphocyte granulocyte
+
+525
+00:45:51,110 --> 00:45:54,590
+endothelial cell and epithelial cell معظم الخلايا
+
+526
+00:45:55,790 --> 00:45:58,450
+طبعا DC protein هم عبارة عن البروتينات حماية
+
+527
+00:45:58,450 --> 00:46:02,930
+للخلايا من ال complement activity وبالتالي غيابهم
+
+528
+00:46:02,930 --> 00:46:12,770
+يؤدي إلى غياب ال destruction of cell طبعا
+
+529
+00:46:12,770 --> 00:46:20,730
+كل الخلايا تتأثر في هذا الموضوع وبالتالي the أيضا
+
+530
+00:46:22,580 --> 00:46:26,300
+بيصير فيه hemolysis for all these cells طبعا أشهر
+
+531
+00:46:26,300 --> 00:46:29,800
+هذه للغاية اللي هو ال PNH في ال PNH طبعا ال
+
+532
+00:46:29,800 --> 00:46:33,760
+patient بيصير فيه غياب لل enzyme required for
+
+533
+00:46:33,760 --> 00:46:39,840
+production of GBI اللي هو وبالتالي مافيش GBI عنكم
+
+534
+00:46:39,840 --> 00:46:43,680
+ال protein وبالتالي مافيش بروتينات حماية عشان هيك
+
+535
+00:46:43,680 --> 00:46:50,200
+بزيد ال susceptibility to hemolysisفي الـ Chronic
+
+536
+00:46:50,200 --> 00:46:53,580
+course of B.N.H. Intravascular Hemolysis or CARE
+
+537
+00:46:53,580 --> 00:46:59,060
+طبعا في الكدنى وهذا بيقدى الى اللى هوا activation
+
+538
+00:46:59,060 --> 00:47:03,700
+of complement يعنى فى degeneration للتشو أو damage
+
+539
+00:47:03,700 --> 00:47:08,740
+للتشو ونتوقف
+
+540
+00:47:08,740 --> 00:47:12,520
+هنا لنستكمل
+
+541
+00:47:12,520 --> 00:47:14,220
+فى مرحلة قادمة ان شاء الله
+
diff --git a/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/8g1W-HF2ZGc_raw.json b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/8g1W-HF2ZGc_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..aa789c4bd0cbc5c6ac45f15cfd51f3fe260f5a1e
--- /dev/null
+++ b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/8g1W-HF2ZGc_raw.json
@@ -0,0 +1 @@
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0.96435546875}], "temperature": 1.0}, {"id": 10, "seek": 26708, "start": 239.3, "end": 267.08, "text": "which means deficiency in antibody-mediated immunity فوق بيصير فيه recurrent bacterial infection وتعتسمية recurrent infection وها كذا T cell deficiency يعني cell-mediated immunity deficiency بيزيد ال susceptibility to the viral fungal protozoa والinfection وهي مجموعة كبيرة من عيش من الحالات المرضية كل واحد له عيش له ال associated disease", "tokens": [13690, 1355, 37500, 294, 34507, 12, 3130, 770, 22701, 6156, 30543, 4724, 1829, 9381, 13546, 8978, 3224, 18680, 1753, 35632, 11764, 34683, 34268, 38251, 10632, 18680, 1753, 11764, 4032, 11296, 9122, 15730, 314, 2815, 37500, 37495, 22653, 2815, 12, 3130, 770, 22701, 37500, 4724, 1829, 11622, 25708, 2423, 26104, 2841, 281, 264, 16132, 1019, 9800, 47896, 4765, 64, 16070, 26260, 313, 37037, 1829, 3714, 7435, 2304, 2407, 27884, 9122, 3555, 48923, 9154, 6225, 1829, 8592, 9154, 21542, 6027, 9307, 9673, 43042, 10632, 28242, 36764, 24401, 46740, 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"probability": 0.87890625}, {"start": 534.06, "end": 534.9, "word": " infection,", "probability": 0.8662109375}, {"start": 535.5, "end": 536.0, "word": " bacterial", "probability": 0.83154296875}, {"start": 536.0, "end": 536.86, "word": " infection,", "probability": 0.85400390625}, {"start": 537.46, "end": 537.92, "word": " fungal,", "probability": 0.940185546875}, {"start": 538.1, "end": 539.04, "word": " protozoal", "probability": 0.81201171875}, {"start": 539.04, "end": 539.64, "word": " and", "probability": 0.771484375}, {"start": 539.64, "end": 539.98, "word": " so", "probability": 0.93505859375}, {"start": 539.98, "end": 540.72, "word": " on", "probability": 0.95361328125}, {"start": 540.72, "end": 541.38, "word": " أشهر", "probability": 0.85443115234375}, {"start": 541.38, "end": 541.76, "word": " الحاجات", "probability": 0.9939778645833334}, {"start": 541.76, "end": 541.92, "word": " اللي", "probability": 0.657958984375}, {"start": 541.92, "end": 542.74, "word": " ملحوظة", "probability": 0.9569498697916666}, {"start": 542.74, "end": 542.94, "word": " في", "probability": 0.94580078125}, {"start": 542.94, "end": 543.24, "word": " هذا", "probability": 0.8125}, {"start": 543.24, "end": 544.16, "word": " النوع", "probability": 0.94091796875}, {"start": 544.16, "end": 544.38, "word": " من", "probability": 0.97216796875}, {"start": 544.38, "end": 545.56, "word": " الأمراض", "probability": 0.87646484375}, {"start": 545.56, "end": 546.12, "word": " هو", "probability": 0.73291015625}, {"start": 546.12, "end": 546.78, "word": " Infection", "probability": 0.4708251953125}, {"start": 546.78, "end": 546.94, "word": " of", "probability": 0.55078125}, {"start": 546.94, "end": 548.38, "word": " Cytomegalovirus,", "probability": 0.5735270182291666}, {"start": 548.98, "end": 550.76, "word": " Pneumocystitis", "probability": 0.82861328125}], "temperature": 1.0}, {"id": 22, "seek": 58062, "start": 551.54, "end": 580.62, "text": "carny eye and candida طبعا الناس دول ممنوع ياخدوا vaccine with attenuated lymph virus لأنه it will lead to death patient have been classified according to the following figure or table جال ودوا قسمهم ل T minus B plus T minus B minus", "tokens": [66, 1083, 88, 3313, 293, 3955, 2887, 23032, 3555, 3615, 995, 2423, 8315, 3794, 11778, 12610, 3714, 27842, 45367, 7251, 47283, 3215, 14407, 7007, 365, 951, 268, 27275, 31070, 5752, 5296, 33456, 3224, 309, 486, 1477, 281, 2966, 4537, 362, 668, 20627, 4650, 281, 264, 3480, 2573, 420, 3199, 10874, 6027, 4032, 3215, 14407, 12174, 38251, 16095, 5296, 314, 3175, 363, 1804, 314, 3175, 363, 3175], "avg_logprob": -0.2763526199468926, "compression_ratio": 1.3140096618357489, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 551.54, "end": 552.5, "word": "carny", "probability": 0.4024810791015625}, {"start": 552.5, "end": 552.82, "word": " eye", "probability": 0.69775390625}, {"start": 552.82, "end": 553.66, "word": " and", "probability": 0.8134765625}, {"start": 553.66, "end": 554.34, 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"end": 598.82, "word": " cell", "probability": 0.95166015625}, {"start": 598.82, "end": 599.72, "word": " لما", "probability": 0.59954833984375}, {"start": 599.72, "end": 599.94, "word": " أقول", "probability": 0.75830078125}, {"start": 599.94, "end": 600.18, "word": " T", "probability": 0.83837890625}, {"start": 600.18, "end": 600.58, "word": " minus", "probability": 0.9345703125}, {"start": 600.58, "end": 600.82, "word": " بي", "probability": 0.972900390625}, {"start": 600.82, "end": 601.14, "word": " minus", "probability": 0.89990234375}, {"start": 601.14, "end": 601.46, "word": " يعني", "probability": 0.96728515625}, {"start": 601.46, "end": 601.66, "word": " لا", "probability": 0.6611328125}, {"start": 601.66, "end": 602.28, "word": " بي", "probability": 0.84619140625}, {"start": 602.28, "end": 602.84, "word": " ولا", "probability": 0.88916015625}, {"start": 602.84, "end": 603.24, "word": " T", "probability": 0.552734375}, {"start": 603.24, "end": 604.28, "word": " cell", 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deficiency", "tokens": [9566, 3555, 3615, 995, 309, 575, 6636, 2712, 295, 264, 11992, 15844, 25724, 3224, 31377, 9673, 8315, 3615, 7578, 4724, 1829, 10721, 3215, 7578, 24976, 5172, 26895, 13546, 34051, 1293, 314, 293, 363, 2815, 3250, 39182, 6055, 7649, 7578, 13672, 7578, 31439, 17491, 14962, 310, 482, 19775, 827, 75, 651, 37500], "avg_logprob": -0.4393028748723177, "compression_ratio": 1.2228571428571429, "no_speech_prob": 0.0, "words": [{"start": 858.06, "end": 858.6, "word": "طبعا", "probability": 0.80810546875}, {"start": 858.6, "end": 859.96, "word": " it", "probability": 0.044342041015625}, {"start": 859.96, "end": 860.2, "word": " has", "probability": 0.865234375}, {"start": 860.2, "end": 860.78, "word": " greatest", "probability": 0.634765625}, {"start": 860.78, "end": 861.38, "word": " impact", "probability": 0.6650390625}, {"start": 861.38, "end": 862.06, "word": " of", "probability": 0.444091796875}, {"start": 862.06, "end": 862.22, "word": " the", "probability": 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867.98, "word": " development", "probability": 0.91650390625}, {"start": 867.98, "end": 869.88, "word": " بعد", "probability": 0.413818359375}, {"start": 869.88, "end": 870.22, "word": " تانى", "probability": 0.8439127604166666}, {"start": 870.22, "end": 870.34, "word": " اللى", "probability": 0.908935546875}, {"start": 870.34, "end": 870.5, "word": " هو", "probability": 0.93408203125}, {"start": 870.5, "end": 870.82, "word": " purely", "probability": 0.6875}, {"start": 870.82, "end": 871.6, "word": " nucleotide", "probability": 0.9140625}, {"start": 871.6, "end": 872.26, "word": " phosphorylase", "probability": 0.72198486328125}, {"start": 872.26, "end": 873.02, "word": " deficiency", "probability": 0.916015625}], "temperature": 1.0}, {"id": 34, "seek": 90347, "start": 875.47, "end": 903.47, "text": "هذا سيؤدي أيضًا إلى بناء تجارب من أجهزة مخاطرة خصوصًا هذه الأجهزة المخاطرة بإمكانها تدمر نظام الهيولوجيا وبيأثر أيضًا على الـ T-cell وبالتالي كل الانفويتشيو مدفنين نوع تاني اللي هو Recombinase deficiency", "tokens": [3224, 15730, 8608, 1829, 33604, 16254, 36632, 11242, 14111, 995, 30731, 44945, 16606, 6055, 7435, 9640, 3555, 9154, 5551, 7435, 3224, 11622, 3660, 3714, 9778, 41193, 25720, 16490, 9381, 2407, 9381, 14111, 995, 29538, 16247, 7435, 3224, 11622, 3660, 9673, 9778, 41193, 25720, 4724, 28814, 2304, 41361, 11296, 6055, 3215, 29973, 8717, 19913, 10943, 2423, 3224, 1829, 12610, 29245, 25528, 4032, 21292, 10721, 49115, 36632, 11242, 14111, 995, 15844, 2423, 39184, 314, 12, 4164, 46599, 6027, 2655, 6027, 1829, 28242, 2423, 7649, 5172, 2407, 36081, 8592, 1829, 2407, 3714, 3215, 5172, 1863, 9957, 8717, 45367, 6055, 7649, 1829, 13672, 1829, 31439, 1300, 38763, 259, 651, 37500], "avg_logprob": -0.6022196005437975, "compression_ratio": 1.5605381165919283, "no_speech_prob": 0.0, "words": [{"start": 875.47, "end": 876.45, "word": "هذا", "probability": 0.61572265625}, {"start": 876.45, "end": 876.87, "word": " سيؤدي", "probability": 0.432342529296875}, {"start": 876.87, "end": 877.39, "word": " أيضًا", "probability": 0.65240478515625}, {"start": 877.39, "end": 877.79, "word": " إلى", "probability": 0.50732421875}, {"start": 877.79, "end": 878.45, "word": " بناء", "probability": 0.7054443359375}, {"start": 878.45, "end": 878.77, "word": " تجارب", "probability": 0.5782623291015625}, {"start": 878.77, "end": 879.15, "word": " من", "probability": 0.2646484375}, {"start": 879.15, "end": 879.61, "word": " أجهزة", "probability": 0.48167724609375}, {"start": 879.61, "end": 879.61, "word": " مخاطرة", "probability": 0.39654541015625}, {"start": 879.61, "end": 881.99, "word": " خصوصًا", "probability": 0.755615234375}, {"start": 881.99, "end": 883.39, "word": " هذه", "probability": 0.375}, {"start": 883.39, "end": 883.49, "word": " الأجهزة", "probability": 0.8982421875}, {"start": 883.49, "end": 883.95, "word": " المخاطرة", "probability": 0.925537109375}, {"start": 883.95, "end": 884.67, "word": " بإمكانها", "probability": 0.65107421875}, {"start": 884.67, "end": 885.07, "word": " تدمر", "probability": 0.4784749348958333}, {"start": 885.07, "end": 887.91, "word": " نظام", "probability": 0.6409912109375}, {"start": 887.91, "end": 889.47, "word": " الهيولوجيا", "probability": 0.5953165690104166}, {"start": 889.47, "end": 892.93, "word": " وبيأثر", "probability": 0.646087646484375}, {"start": 892.93, "end": 893.43, "word": " أيضًا", "probability": 0.986328125}, {"start": 893.43, "end": 893.69, "word": " على", "probability": 0.9404296875}, {"start": 893.69, "end": 893.77, "word": " الـ", "probability": 0.3048095703125}, {"start": 893.77, "end": 893.99, "word": " T", "probability": 0.7294921875}, {"start": 893.99, "end": 894.33, "word": "-cell", "probability": 0.770263671875}, {"start": 894.33, "end": 896.25, "word": " وبالتالي", "probability": 0.88486328125}, {"start": 896.25, "end": 896.49, "word": " كل", "probability": 0.8642578125}, {"start": 896.49, "end": 897.57, "word": " الانفويتشيو", "probability": 0.59490966796875}, 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لكن they are not functioning أشهر هذه الأمراض ال pair lymphocyte syndrome", "tokens": [45340, 5016, 33546, 37977, 3714, 43042, 7578, 9154, 23758, 28239, 45367, 4724, 1829, 33753, 26108, 2423, 7578, 659, 12, 83, 620, 518, 365, 13154, 329, 10504, 735, 488, 4110, 2423, 314, 1804, 363, 1804, 1422, 17377, 28242, 16712, 29399, 9957, 3714, 29245, 23328, 9957, 44381, 436, 366, 406, 18483, 5551, 8592, 3224, 2288, 29538, 16247, 29973, 46958, 2423, 6119, 31070, 31078, 975, 19371], "avg_logprob": -0.345214847009629, "compression_ratio": 1.303921568627451, "no_speech_prob": 0.0, "words": [{"start": 1023.4499999999999, "end": 1024.37, "word": "المحاصلة", "probability": 0.77752685546875}, {"start": 1024.37, "end": 1025.27, "word": " مرضى", "probability": 0.9384765625}, {"start": 1025.27, "end": 1025.43, "word": " من", "probability": 0.89697265625}, {"start": 1025.43, "end": 1025.57, "word": " هذا", "probability": 0.383544921875}, {"start": 1025.57, "end": 1025.95, "word": " النوع", "probability": 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الأمراض", "probability": 0.98388671875}, {"start": 1044.55, "end": 1044.67, "word": " ال", "probability": 0.810546875}, {"start": 1044.67, "end": 1044.87, "word": " pair", "probability": 0.40478515625}, {"start": 1044.87, "end": 1045.51, "word": " lymphocyte", "probability": 0.8865559895833334}, {"start": 1045.51, "end": 1046.09, "word": " syndrome", "probability": 0.92578125}], "temperature": 1.0}, {"id": 41, "seek": 106988, "start": 1047.02, "end": 1069.88, "text": "ده هو بيقدي الى results from the failure to express HLA molecule والسبب في ذلك طبعا مافيش HLA molecule يعني مافيش antigen presentation بواسطة طبعا اللي هو HLA class 2 molecule deficiency في الغالب class 1 ممكن يكون متأثر وممكن لأ", "tokens": [3215, 3224, 31439, 4724, 1829, 4587, 16254, 2423, 7578, 3542, 490, 264, 7763, 281, 5109, 389, 11435, 15582, 16070, 35457, 3555, 8978, 29910, 23275, 23032, 3555, 3615, 995, 19446, 41185, 8592, 389, 11435, 15582, 37495, 22653, 19446, 41185, 8592, 2511, 3213, 5860, 4724, 14407, 3794, 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"probability": 0.94384765625}, {"start": 1066.44, "end": 1066.92, "word": " في", "probability": 0.6123046875}, {"start": 1066.92, "end": 1067.3, "word": " الغالب", "probability": 0.9375}, {"start": 1067.3, "end": 1067.56, "word": " class", "probability": 0.93359375}, {"start": 1067.56, "end": 1067.9, "word": " 1", "probability": 0.9345703125}, {"start": 1067.9, "end": 1068.34, "word": " ممكن", "probability": 0.899658203125}, {"start": 1068.34, "end": 1068.68, "word": " يكون", "probability": 0.954833984375}, {"start": 1068.68, "end": 1069.2, "word": " متأثر", "probability": 0.9352213541666666}, {"start": 1069.2, "end": 1069.58, "word": " وممكن", "probability": 0.8507486979166666}, {"start": 1069.58, "end": 1069.88, "word": " لأ", "probability": 0.887451171875}], "temperature": 1.0}, {"id": 42, "seek": 108495, "start": 1071.91, "end": 1084.95, "text": "circulating T and B cell may be normal لكن في غياب ال HLA class 2 موليكيول ما بيحصل فيه antigen presentation ل CD4 T cell", "tokens": [23568, 2444, 990, 314, 293, 363, 2815, 815, 312, 2710, 44381, 8978, 32771, 1829, 16758, 2423, 389, 11435, 1508, 568, 3714, 12610, 1829, 4117, 1829, 12610, 19446, 4724, 1829, 5016, 36520, 8978, 3224, 2511, 3213, 5860, 5296, 6743, 19, 314, 2815], "avg_logprob": -0.39508928713344393, "compression_ratio": 1.0785714285714285, "no_speech_prob": 0.0, "words": [{"start": 1071.91, "end": 1072.91, "word": "circulating", "probability": 0.6923014322916666}, {"start": 1072.91, "end": 1073.19, "word": " T", "probability": 0.7373046875}, {"start": 1073.19, "end": 1073.43, "word": " and", "probability": 0.64404296875}, {"start": 1073.43, "end": 1073.67, "word": " B", "probability": 0.92822265625}, {"start": 1073.67, "end": 1073.97, "word": " cell", "probability": 0.6416015625}, {"start": 1073.97, "end": 1074.29, "word": " may", "probability": 0.278076171875}, {"start": 1074.29, "end": 1074.47, "word": " be", "probability": 0.876953125}, {"start": 1074.47, "end": 1074.93, "word": " normal", 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antigen", "probability": 0.629638671875}, {"start": 1081.17, "end": 1081.89, "word": " presentation", "probability": 0.7294921875}, {"start": 1081.89, "end": 1082.69, "word": " ل", "probability": 0.89013671875}, {"start": 1082.69, "end": 1083.51, "word": " CD4", "probability": 0.906494140625}, {"start": 1083.51, "end": 1084.39, "word": " T", "probability": 0.8720703125}, {"start": 1084.39, "end": 1084.95, "word": " cell", "probability": 0.90283203125}], "temperature": 1.0}, {"id": 43, "seek": 110796, "start": 1086.66, "end": 1107.96, "text": "الـ ZAP-17 ميوتيشن هي عبارة عن كيميكال ميسنجر بيعمل نقل للإشارة بمنخد TCR للنوكلياس وهو نقل للإشارة بمنخد TCR للنوكلياس وهو نقل للإشارة بمنخد TCR للنوكلياس وهو نقل للإشارة بمنخد TCR للنوكلياس", "tokens": [6027, 39184, 1176, 4715, 12, 7773, 3714, 1829, 35473, 1829, 8592, 1863, 39896, 6225, 3555, 9640, 3660, 18871, 9122, 32640, 1829, 4117, 6027, 3714, 1829, 3794, 1863, 7435, 2288, 4724, 1829, 25957, 1211, 8717, 4587, 1211, 24976, 28814, 8592, 9640, 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"probability": 0.216552734375}, {"start": 1088.52, "end": 1088.78, "word": " عبارة", "probability": 0.932373046875}, {"start": 1088.78, "end": 1088.92, "word": " عن", "probability": 0.998046875}, {"start": 1088.92, "end": 1092.08, "word": " كيميكال", "probability": 0.71904296875}, {"start": 1092.08, "end": 1093.5, "word": " ميسنجر", "probability": 0.7125244140625}, {"start": 1093.5, "end": 1094.48, "word": " بيعمل", "probability": 0.47657012939453125}, {"start": 1094.48, "end": 1094.9, "word": " نقل", "probability": 0.98291015625}, {"start": 1094.9, "end": 1095.64, "word": " للإشارة", "probability": 0.94052734375}, {"start": 1095.64, "end": 1099.62, "word": " بمنخد", "probability": 0.3241119384765625}, {"start": 1099.62, "end": 1100.32, "word": " TCR", "probability": 0.6898193359375}, {"start": 1100.32, "end": 1101.66, "word": " للنوكلياس", "probability": 0.7473551432291666}, {"start": 1101.66, "end": 1101.7, "word": " وهو", "probability": 0.5816650390625}, {"start": 1101.7, "end": 1101.7, "word": " نقل", "probability": 0.5546468098958334}, {"start": 1101.7, "end": 1101.7, "word": " للإشارة", "probability": 0.94033203125}, {"start": 1101.7, "end": 1101.7, "word": " بمنخد", "probability": 0.664703369140625}, {"start": 1101.7, "end": 1101.7, "word": " TCR", "probability": 0.846435546875}, {"start": 1101.7, "end": 1101.7, "word": " للنوكلياس", "probability": 0.94921875}, {"start": 1101.7, "end": 1102.48, "word": " وهو", "probability": 0.86474609375}, {"start": 1102.48, "end": 1102.8, "word": " نقل", "probability": 0.9088541666666666}, {"start": 1102.8, "end": 1102.8, "word": " للإشارة", "probability": 0.990625}, {"start": 1102.8, "end": 1102.8, "word": " بمنخد", "probability": 0.9429931640625}, {"start": 1102.8, "end": 1102.8, "word": " TCR", "probability": 0.944580078125}, {"start": 1102.8, "end": 1102.8, "word": " للنوكلياس", "probability": 0.96435546875}, {"start": 1102.8, "end": 1103.06, "word": " وهو", "probability": 0.9267578125}, {"start": 1103.06, "end": 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" protein", "probability": 0.65478515625}, {"start": 2725.35, "end": 2726.29, "word": " deficiency", "probability": 0.8974609375}, {"start": 2726.29, "end": 2727.85, "word": " نعرف", "probability": 0.8463541666666666}, {"start": 2727.85, "end": 2728.03, "word": " ان", "probability": 0.55419921875}, {"start": 2728.03, "end": 2728.39, "word": " هذا", "probability": 0.262451171875}, {"start": 2728.39, "end": 2728.89, "word": " بلعب", "probability": 0.76812744140625}, {"start": 2728.89, "end": 2729.05, "word": " دور", "probability": 0.988037109375}, {"start": 2729.05, "end": 2729.61, "word": " كبير", "probability": 0.9931640625}, {"start": 2729.61, "end": 2731.13, "word": " في", "probability": 0.84130859375}, {"start": 2731.13, "end": 2732.87, "word": " ال", "probability": 0.900390625}, {"start": 2732.87, "end": 2733.27, "word": " as", "probability": 0.49560546875}, {"start": 2733.27, "end": 2733.93, "word": " anchored", "probability": 0.89990234375}, {"start": 2733.93, "end": 2735.67, "word": " protein", "probability": 0.859375}], "temperature": 1.0}, {"id": 108, "seek": 275459, "start": 2737.69, "end": 2754.59, "text": "هذا عبارة عن عائلة من البروتينات والجليكوزيه الفوسفات ديال الناسيتوه الانكولات is expressed على ال membrane of RBCs lymphocyte granulocyte endothelial cell and epithelial cell معظم الخلايا", "tokens": [3224, 15730, 6225, 3555, 9640, 3660, 18871, 6225, 16373, 37977, 9154, 2423, 26890, 35473, 9957, 9307, 16070, 7435, 20292, 4117, 2407, 11622, 1829, 3224, 27188, 41779, 5172, 9307, 11778, 1829, 6027, 2423, 8315, 3794, 36081, 2407, 3224, 2423, 7649, 4117, 12610, 9307, 307, 12675, 15844, 2423, 19651, 295, 497, 7869, 82, 31070, 31078, 975, 9370, 425, 31078, 975, 917, 900, 338, 831, 2815, 293, 2388, 355, 338, 831, 2815, 20449, 19913, 2304, 33962, 15040, 25528], "avg_logprob": -0.42310856086643117, "compression_ratio": 1.4240837696335078, "no_speech_prob": 0.0, "words": [{"start": 2737.69, "end": 2738.77, "word": "هذا", "probability": 0.607177734375}, 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these cells طبعا أشهر هذه للغاية اللي هو ال PNH في ال PNH طبعا ال patient بيصير فيه غياب لل enzyme required for production of GBI اللي هو وبالتالي مافيش GBI عنكم ال protein وبالتالي مافيش بروتينات حماية عشان هيك بزيد ال susceptibility to hemolysis", "tokens": [3555, 1829, 9381, 13546, 8978, 3224, 8636, 401, 4642, 337, 439, 613, 5438, 23032, 3555, 3615, 995, 5551, 8592, 3224, 2288, 29538, 24976, 17082, 995, 10632, 13672, 1829, 31439, 2423, 430, 45, 39, 8978, 2423, 430, 45, 39, 23032, 3555, 3615, 995, 2423, 4537, 4724, 1829, 9381, 13546, 8978, 3224, 32771, 1829, 16758, 24976, 24521, 4739, 337, 4265, 295, 460, 11291, 13672, 1829, 31439, 46599, 6027, 2655, 6027, 1829, 19446, 41185, 8592, 460, 11291, 18871, 24793, 2423, 7944, 46599, 6027, 2655, 6027, 1829, 19446, 41185, 8592, 4724, 32887, 2655, 9957, 9307, 11331, 15042, 10632, 6225, 8592, 7649, 39896, 4117, 4724, 11622, 25708, 2423, 26104, 2841, 281, 8636, 401, 4642], "avg_logprob": -0.2650568252260035, "compression_ratio": 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"probability": 0.8076171875}, {"start": 2804.1, "end": 2804.94, "word": " susceptibility", "probability": 0.975341796875}, {"start": 2804.94, "end": 2805.96, "word": " to", "probability": 0.939453125}, {"start": 2805.96, "end": 2806.58, "word": " hemolysis", "probability": 0.797119140625}], "temperature": 1.0}, {"id": 111, "seek": 283422, "start": 2808.86, "end": 2834.22, "text": "في الـ Chronic course of B.N.H. Intravascular Hemolysis or CARE طبعا في الكدنى وهذا بيقدى الى اللى هوا activation of complement يعنى فى degeneration للتشو أو damage للتشو ونتوقف هنا لنستكمل فى مرحلة قادمة ان شاء الله", "tokens": [41185, 2423, 39184, 1721, 11630, 1164, 295, 363, 13, 45, 13, 39, 13, 5681, 13404, 22084, 18568, 401, 4642, 420, 15939, 36, 23032, 3555, 3615, 995, 8978, 33251, 3215, 1863, 7578, 37037, 15730, 4724, 1829, 4587, 3215, 7578, 2423, 7578, 13672, 7578, 8032, 14407, 24433, 295, 17103, 37495, 1863, 7578, 6156, 7578, 368, 30372, 24976, 2655, 8592, 2407, 34051, 4344, 24976, 2655, 8592, 2407, 4032, 29399, 30543, 5172, 34105, 5296, 1863, 14851, 24793, 1211, 6156, 7578, 3714, 2288, 5016, 37977, 12174, 18513, 46007, 16472, 13412, 16606, 21984], "avg_logprob": -0.3616832457482815, "compression_ratio": 1.3347826086956522, "no_speech_prob": 0.0, "words": [{"start": 2808.86, "end": 2809.4, "word": "في", "probability": 0.53662109375}, {"start": 2809.4, "end": 2809.84, "word": " الـ", "probability": 0.2850341796875}, {"start": 2809.84, "end": 2810.2, "word": " Chronic", "probability": 0.689453125}, {"start": 2810.2, "end": 2810.6, "word": " course", "probability": 0.202392578125}, {"start": 2810.6, "end": 2810.82, "word": " of", "probability": 0.81640625}, {"start": 2810.82, "end": 2810.98, "word": " B", "probability": 0.355712890625}, {"start": 2810.98, "end": 2811.12, "word": ".N", "probability": 0.501007080078125}, {"start": 2811.12, "end": 2811.4, "word": ".H.", "probability": 0.93603515625}, {"start": 2811.62, "end": 2812.18, "word": " Intravascular", "probability": 0.7088216145833334}, {"start": 2812.18, "end": 2812.74, "word": " Hemolysis", "probability": 0.6902669270833334}, {"start": 2812.74, "end": 2812.96, "word": " or", "probability": 0.273681640625}, {"start": 2812.96, "end": 2813.58, "word": " CARE", "probability": 0.62548828125}, {"start": 2813.58, "end": 2814.14, "word": " طبعا", "probability": 0.8673095703125}, {"start": 2814.14, "end": 2814.24, "word": " في", "probability": 0.59765625}, {"start": 2814.24, "end": 2814.7, "word": " الكدنى", "probability": 0.7579345703125}, {"start": 2814.7, "end": 2814.92, "word": " وهذا", "probability": 0.81494140625}, {"start": 2814.92, "end": 2815.36, "word": " بيقدى", "probability": 0.64248046875}, {"start": 2815.36, "end": 2816.18, "word": " الى", "probability": 0.640380859375}, {"start": 2816.18, "end": 2816.58, "word": " اللى", "probability": 0.87109375}, {"start": 2816.58, "end": 2818.04, "word": " هوا", "probability": 0.6024169921875}, {"start": 2818.04, "end": 2819.06, "word": " activation", "probability": 0.8134765625}, {"start": 2819.06, "end": 2819.34, "word": " of", "probability": 0.71484375}, {"start": 2819.34, "end": 2819.76, "word": " complement", "probability": 0.3623046875}, {"start": 2819.76, "end": 2820.08, "word": " يعنى", "probability": 0.8173828125}, {"start": 2820.08, "end": 2820.42, "word": " فى", "probability": 0.721923828125}, {"start": 2820.42, "end": 2822.38, "word": " degeneration", "probability": 0.5743408203125}, {"start": 2822.38, "end": 2823.0, "word": " للتشو", "probability": 0.74847412109375}, {"start": 2823.0, "end": 2823.22, "word": " أو", "probability": 0.75146484375}, {"start": 2823.22, "end": 2823.7, "word": " damage", "probability": 0.72119140625}, {"start": 2823.7, "end": 2824.98, "word": " للتشو", "probability": 0.9671630859375}, {"start": 2824.98, "end": 2828.74, "word": " ونتوقف", "probability": 0.806640625}, {"start": 2828.74, "end": 2829.1, "word": " هنا", "probability": 0.970703125}, {"start": 2829.1, "end": 2832.52, "word": " لنستكمل", "probability": 0.9470703125}, {"start": 2832.52, "end": 2832.68, "word": " فى", "probability": 0.857177734375}, {"start": 2832.68, "end": 2833.14, "word": " مرحلة", "probability": 0.989990234375}, {"start": 2833.14, "end": 2833.66, "word": " قادمة", "probability": 0.99169921875}, {"start": 2833.66, "end": 2833.86, "word": " ان", "probability": 0.74755859375}, {"start": 2833.86, "end": 2834.02, "word": " شاء", "probability": 0.984619140625}, {"start": 2834.02, "end": 2834.22, "word": " الله", "probability": 0.9423828125}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2835.1565, "duration_after_vad": 2721.29999999999}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/8g1W-HF2ZGc_raw.srt b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/8g1W-HF2ZGc_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..2f0d1d82ea4304a845a9c80569eafe4cb45231b6
--- /dev/null
+++ b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/8g1W-HF2ZGc_raw.srt
@@ -0,0 +1,2180 @@
+1
+00:00:01,260 --> 00:00:05,520
+بسم الله الرحمن الرحيم بحضرتنا اليوم عن ال
+
+2
+00:00:05,520 --> 00:00:10,060
+immunodeficiency syndrome و ال immunodeficiency
+
+3
+00:00:10,060 --> 00:00:17,340
+syndrome are divided مرة
+
+4
+00:00:17,340 --> 00:00:21,500
+أخرى بسم الله الرحمن الرحيم بحضرتنا اليوم عن ال
+
+5
+00:00:21,500 --> 00:00:25,780
+immunodeficiency syndrome these are divided into
+
+6
+00:00:25,780 --> 00:00:30,720
+two major categoriesقسمهم إلى قسمين أساسيين جاله
+
+7
+00:00:30,720 --> 00:00:33,260
+فيه primary immune deficiency و فيه secondary
+
+8
+00:00:33,260 --> 00:00:38,740
+immune deficiency طبعا في كلتا الحالتين في حالات
+
+9
+00:00:38,740 --> 00:00:43,460
+مرضية متباينة هتطرخ لأمثلة كثيرة في كل نوع من هذه
+
+10
+00:00:43,460 --> 00:00:52,620
+الأنواع ال categories
+
+11
+00:00:52,620 --> 00:00:58,050
+of primary immune response او deficiencyطب احنا
+
+12
+00:00:58,050 --> 00:01:01,030
+هنتطلق في البداية لل primary immune deficiency ثم
+
+13
+00:01:01,030 --> 00:01:04,310
+هنتقل الى ال secondary immune deficiency جانو في
+
+14
+00:01:04,310 --> 00:01:08,130
+ال primary immune deficiency هي عبارة عن عوامل
+
+15
+00:01:08,130 --> 00:01:12,970
+أساسية لل immune response او بالتالي بنحكي على T
+
+16
+00:01:12,970 --> 00:01:17,410
+cell يعني cell mediated immunity و بنحكي على B
+
+17
+00:01:17,410 --> 00:01:21,070
+cell يعني antibody mediated immunity بنحكي على
+
+18
+00:01:21,070 --> 00:01:28,590
+both B and T cell immunityثم Non-specific immunity
+
+19
+00:01:28,590 --> 00:01:36,490
+متمثلة بالفاجوسيتك سيل and or انكي سيل ثم ال
+
+20
+00:01:36,490 --> 00:01:42,490
+complement activation أيضا و طبعا كل هذه العوامل
+
+21
+00:01:42,490 --> 00:01:48,190
+مشتركة بتمثل ال category of primary immune
+
+22
+00:01:48,190 --> 00:01:52,070
+response هنطلق الى كل عامل من هذه العوامل و ناخد
+
+23
+00:01:52,070 --> 00:01:57,100
+أمثلةبداية ما كتش بتشك في وجود immunodeficiency
+
+24
+00:01:57,100 --> 00:02:05,380
+قالوا فيه عشر محاذير أساسية مظاهر أساسية for
+
+25
+00:02:05,380 --> 00:02:10,740
+immunodeficiency disease نمرا واحد six or more
+
+26
+00:02:10,740 --> 00:02:14,320
+infections per year يعني أكتر من ست مرات تحصل فيها
+
+27
+00:02:14,320 --> 00:02:17,820
+infection في السماء نمرا اتنين two or more severe
+
+28
+00:02:17,820 --> 00:02:22,360
+sinusitis per yearنمرا تلاتة antibiotic treatment
+
+29
+00:02:22,360 --> 00:02:27,780
+lasting for two months or even longer بدون أيام
+
+30
+00:02:27,780 --> 00:02:33,900
+visible effect نمرا أربعة two or more pneumonia
+
+31
+00:02:33,900 --> 00:02:39,800
+per year نمرا خمسة retardation of growth and
+
+32
+00:02:39,800 --> 00:02:44,920
+development of child نمرا ستة recurrent deep skin
+
+33
+00:02:44,920 --> 00:02:50,610
+or organ abscessesنمرة سبعة ميكوسيس مستمر في عمل
+
+34
+00:02:50,610 --> 00:02:52,630
+عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل
+
+35
+00:02:52,630 --> 00:02:56,110
+عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل
+
+36
+00:02:56,110 --> 00:02:57,110
+عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل
+
+37
+00:02:57,110 --> 00:02:57,130
+عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل
+
+38
+00:02:57,130 --> 00:02:57,530
+عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل
+
+39
+00:02:57,530 --> 00:02:57,530
+عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل
+
+40
+00:02:57,530 --> 00:02:57,610
+عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل
+
+41
+00:02:57,610 --> 00:03:01,590
+عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل عمل
+
+42
+00:03:01,590 --> 00:03:10,320
+عمل عمل عمل عمل عمل عمل عنمرا تسعة تور more severe
+
+43
+00:03:10,320 --> 00:03:14,740
+infection زي encephalitis, osteitis, dermatitis,
+
+44
+00:03:14,860 --> 00:03:19,440
+myositis and sepsis نمرا عشرة family history
+
+45
+00:03:19,440 --> 00:03:27,680
+indicating primary immune deficiency طبعا في عندنا
+
+46
+00:03:27,680 --> 00:03:32,980
+جدول ان شاء الله الحلقات طلع اليه وبيبين لنا
+
+47
+00:03:32,980 --> 00:03:37,090
+different types of infectionعلى سبيل المثال كانت
+
+48
+00:03:37,090 --> 00:03:41,670
+بكتيريا القطاعتس ميديا و بكتيريا النومونيا غالبا
+
+49
+00:03:41,670 --> 00:03:44,470
+بنشوفها في الناس اللي عندهم B cell and antibody
+
+50
+00:03:44,470 --> 00:03:49,970
+deficiency و هكذا جدول مصنف انها بالذات أمراض
+
+51
+00:03:49,970 --> 00:03:56,590
+كثيرة و غياب كل واحد شو بيعمل فأول واحد B cell او
+
+52
+00:03:56,590 --> 00:04:01,420
+B lymphocyte deficiencywhich means deficiency in
+
+53
+00:04:01,420 --> 00:04:05,600
+antibody-mediated immunity فوق بيصير فيه recurrent
+
+54
+00:04:05,600 --> 00:04:08,260
+bacterial infection وتعتسمية recurrent infection
+
+55
+00:04:08,260 --> 00:04:11,960
+وها كذا T cell deficiency يعني cell-mediated
+
+56
+00:04:11,960 --> 00:04:15,920
+immunity deficiency بيزيد ال susceptibility to the
+
+57
+00:04:15,920 --> 00:04:19,460
+viral fungal protozoa والinfection وهي مجموعة
+
+58
+00:04:19,460 --> 00:04:24,820
+كبيرة من عيش من الحالات المرضية كل واحد له عيش له
+
+59
+00:04:24,820 --> 00:04:27,080
+ال associated disease
+
+60
+00:04:29,920 --> 00:04:32,720
+تخيل اننا نبدأ نحكي عنها ال primary
+
+61
+00:04:32,720 --> 00:04:38,440
+immunodeficiency syndromes يعني باستثناء ال IGA
+
+62
+00:04:38,440 --> 00:04:42,260
+deficiency ال frequency of immunodeficiency is
+
+63
+00:04:42,260 --> 00:04:48,460
+very low حددوها واحد في كل عشر تلاف خمسين فالمية
+
+64
+00:04:48,460 --> 00:04:53,520
+منهم associated with antibody deficiency عشرين
+
+65
+00:04:53,520 --> 00:04:59,350
+فالمية منهماسوش combined with deficiency بمعنى انه
+
+66
+00:04:59,350 --> 00:05:03,850
+فيه antibody و cell-mediated immunity 18% for
+
+67
+00:05:03,850 --> 00:05:07,590
+phagocystic disorders 10% for cell-mediated
+
+68
+00:05:07,590 --> 00:05:15,810
+immunity alone الفكرة القادمة P1.1بيبين ان كل ما
+
+69
+00:05:15,810 --> 00:05:20,830
+كان ال defect earlier كل ما كان ال genetic defect
+
+70
+00:05:20,830 --> 00:05:24,830
+او ال block حدث
+
+71
+00:05:24,830 --> 00:05:30,330
+في دراعي اللى هو الجهاز المناعى كل ما كان earlier
+
+72
+00:05:30,330 --> 00:05:38,850
+كل ما كان ال effect more severe and diseaseable
+
+73
+00:05:38,850 --> 00:05:45,160
+شوفوا الفجرطبعا هذا figure اللي انتوا شايفين يبين
+
+74
+00:05:45,160 --> 00:05:51,460
+ان ال hemopoietic maturation steps for both T and
+
+75
+00:05:51,460 --> 00:05:58,400
+B lymphocytes ف I بي على سبيل المثال بدايتها
+
+76
+00:05:58,400 --> 00:06:04,050
+lymphoid stem cellثم pre-cell ثم immature cell ثم
+
+77
+00:06:04,050 --> 00:06:07,970
+ال mature بيه lymphocytes اللي طبعا بعدها بتدينا
+
+78
+00:06:07,970 --> 00:06:12,430
+different types of antibody once اللي هو
+
+79
+00:06:12,430 --> 00:06:18,090
+maturation occur to plasma cell في كل مرحلة من
+
+80
+00:06:18,090 --> 00:06:23,570
+المراحل ممكن يحصل فيه defect وكل مرحلة من المراحل
+
+81
+00:06:23,570 --> 00:06:27,950
+associated with certain diseaseو كل ما كانت
+
+82
+00:06:27,950 --> 00:06:36,070
+المرحلة أو الخلل بدري كل ما كانش كل المراحل التي
+
+83
+00:06:36,070 --> 00:06:41,710
+تلي الخلل بدها تتعطل وبالتالي كل ما كان ال disease
+
+84
+00:06:41,710 --> 00:06:45,290
+more severe نفس الحكاية بالنسبة لل thymus او ال
+
+85
+00:06:45,290 --> 00:06:49,750
+telephocytes هي بتيجي على ال thymus
+
+86
+00:06:52,580 --> 00:06:59,000
+بعد ذلك تظهر كـ mature CD4 أو CD8 T lymphocytes
+
+87
+00:06:59,000 --> 00:07:05,280
+وطبعا تشتغل كimmune
+
+88
+00:07:05,280 --> 00:07:10,600
+cell المهم انتبهوا إلى الأرقام الموجودة فشوفوا
+
+89
+00:07:10,600 --> 00:07:15,600
+قسموا المراحل هذه إلى أرقام مختلفة وكل مرحلة
+
+90
+00:07:15,600 --> 00:07:19,120
+associated زي ما قلتلكم or combined with a certain
+
+91
+00:07:19,120 --> 00:07:24,000
+disease فرق 1 على سبيل المثال هييعني فى بدري خالص
+
+92
+00:07:24,000 --> 00:07:27,120
+الخلال بيصير فى severe compound immunodeficiency
+
+93
+00:07:27,120 --> 00:07:32,200
+syndrome رقم اتنين برضه بدري ادوة بيصير فى
+
+94
+00:07:32,200 --> 00:07:36,000
+congenital thymic aplasia وبرضه هذا عبارة عن دي
+
+95
+00:07:36,000 --> 00:07:40,020
+جارس سندروم يعنى مافيش تى lymphocytes بتتصنع اتول
+
+96
+00:07:40,020 --> 00:07:47,480
+رقم تلاتة ادوة بيصير فى skid ايضا رقم اربع فى ال B
+
+97
+00:07:47,480 --> 00:07:51,610
+cell ادوةقالوا بيصير في X-Linked E Gamma Global
+
+98
+00:07:51,610 --> 00:07:58,530
+Anemia مافي ولا Antibody بيتكون رقم خمسة ماشي هذا
+
+99
+00:07:58,530 --> 00:08:03,570
+هو أنا رقم خمسة بيصير common variable immune
+
+100
+00:08:03,570 --> 00:08:09,670
+deficiency disease و هكذا كل الحالات اللي هو كل
+
+101
+00:08:09,670 --> 00:08:16,440
+المراحل associated with certain diseaseنبدأ بـ
+
+102
+00:08:16,440 --> 00:08:22,600
+Severe Combined Immunodeficiency Diseases وهي
+
+103
+00:08:22,600 --> 00:08:26,640
+عبارة عن هيتروجينس جروب of disease associated or
+
+104
+00:08:26,640 --> 00:08:29,700
+in which cell-mediated immunity and antibody لأنه
+
+105
+00:08:29,700 --> 00:08:35,060
+combined production are defected التانين معطلين
+
+106
+00:08:35,060 --> 00:08:38,960
+both humoral and cell-mediated immunity are
+
+107
+00:08:38,960 --> 00:08:44,940
+defectedفي الزمن هتسموها او Swiss-type Aiga
+
+108
+00:08:44,940 --> 00:08:49,820
+Microbial Anemia و الناس هدولة عادة susceptible to
+
+109
+00:08:49,820 --> 00:08:54,060
+virtually every type of microbial infection, viral
+
+110
+00:08:54,060 --> 00:08:59,040
+infection, bacterial infection, fungal, protozoal
+
+111
+00:08:59,040 --> 00:09:04,380
+and so on أشهر الحاجات اللي ملحوظة في هذا النوع من
+
+112
+00:09:04,380 --> 00:09:08,380
+الأمراض هو Infection of Cytomegalovirus,
+
+113
+00:09:08,980 --> 00:09:16,220
+Pneumocystitiscarny eye and candida طبعا الناس دول
+
+114
+00:09:16,220 --> 00:09:23,260
+ممنوع ياخدوا vaccine with attenuated lymph virus
+
+115
+00:09:23,260 --> 00:09:29,700
+لأنه it will lead to death patient have been
+
+116
+00:09:29,700 --> 00:09:32,260
+classified according to the following figure or
+
+117
+00:09:32,260 --> 00:09:40,020
+table جال ودوا قسمهم ل T minus B plus T minus B
+
+118
+00:09:40,020 --> 00:09:45,920
+minusأنواع مختلفة سنتطرق لكل نوع من هذه الأنواع بس
+
+119
+00:09:45,920 --> 00:09:51,980
+يجب أن نفهم ان T minus يعني في غياب ل T cell بي
+
+120
+00:09:51,980 --> 00:09:57,500
+بلس يعني في normal بي cell وممكن يكون في غياب
+
+121
+00:09:57,500 --> 00:10:02,280
+لأنكي cell لما أقول T minus بي minus يعني لا بي
+
+122
+00:10:02,280 --> 00:10:08,780
+ولا T cell موجودة و لما أقول التنين plusمعناته
+
+123
+00:10:08,780 --> 00:10:12,080
+الناس التانية هدول عندهم T سل وB سل لكن هم غير
+
+124
+00:10:12,080 --> 00:10:18,840
+شغالاء مش شغالين T plus B minus it's very rare و
+
+125
+00:10:18,840 --> 00:10:23,960
+they preferred treatment طبعا لحالات من هالنوع انه
+
+126
+00:10:23,960 --> 00:10:28,460
+نعمل bone marrow transplantation from an HLA
+
+127
+00:10:28,460 --> 00:10:33,660
+matched sibling donor وده بقى و هذه الحالات اول
+
+128
+00:10:33,660 --> 00:10:38,340
+حالة هي T minus B plus اتفقنا على انه هيمافيش D
+
+129
+00:10:38,340 --> 00:10:42,000
+-cell وإنما مافيه B-cell المرض هذا عبارة عن X
+
+130
+00:10:42,000 --> 00:10:49,920
+-linked skid بيمثل 40 ل 50% من الحالات اللي بنحكي
+
+131
+00:10:49,920 --> 00:10:54,000
+عنها ال mutation جاله موجود على ال X-chromosome
+
+132
+00:10:54,000 --> 00:10:58,980
+الجين اللي صار فيه mutation موجود على ال X
+
+133
+00:10:58,980 --> 00:11:05,180
+-chromosome which could forgamer chain ماشي
+
+134
+00:11:06,650 --> 00:11:12,870
+Gamma Chain Cytokine Receptor وطبعاً this Gamma
+
+135
+00:11:12,870 --> 00:11:17,230
+Chain تلعب دور كبير في ال .. اللي هو Signal
+
+136
+00:11:17,230 --> 00:11:22,290
+Transduction لعدد كبير من ال cytokine منها IL2,
+
+137
+00:11:22,390 --> 00:11:30,110
+IL4, IL7, IL9, IL15وطبعا هذه معناته غيبها بعمل
+
+138
+00:11:30,110 --> 00:11:36,930
+غياب ل ال function for this cytokine وهذا فكرة
+
+139
+00:11:36,930 --> 00:11:42,830
+واضح جدا هي receptor اللي هو عبارة عن إيش legend
+
+140
+00:11:42,830 --> 00:11:49,870
+لكل ال cytokine هذول ال legend تعونوه لكل ال
+
+141
+00:11:49,870 --> 00:11:55,690
+cytokine هذول فهي بيتكوم من two chain واحدةتو بولي
+
+142
+00:11:55,690 --> 00:11:58,550
+مبتعدة chain واحدة منهم بتلعب دوري كبير في ال
+
+143
+00:11:58,550 --> 00:12:03,010
+signal transduction وهي ال gamma chain gamma chain
+
+144
+00:12:03,010 --> 00:12:05,690
+وبالتالي غيابها يعني مافيش signal transduction
+
+145
+00:12:05,690 --> 00:12:10,270
+وبالتالي مافيش transcription for this gene ماشي
+
+146
+00:12:10,270 --> 00:12:16,330
+وبالتالي كل ال function لهذه ال cytokine will be
+
+147
+00:12:16,330 --> 00:12:22,950
+missed المرض
+
+148
+00:12:22,950 --> 00:12:30,260
+التاني ال witchesيعني similar to this disease هو
+
+149
+00:12:30,260 --> 00:12:34,880
+غياب الجزء التاني من ال receptor مش كبوليبين بتعدد
+
+150
+00:12:34,880 --> 00:12:39,000
+شينو انما ك functioning process اللي هو غياب الجاك
+
+151
+00:12:39,000 --> 00:12:44,900
+يوم ما يصير فيه غياب للجاك طبعا ما يصيرش فيه تغير
+
+152
+00:12:44,900 --> 00:12:47,440
+في ال gamma ومتما تغيرت بتاعة ال signal
+
+153
+00:12:47,440 --> 00:12:52,190
+transduction غياب الجاك أيضابرضه بعمل نفس الأعضاء
+
+154
+00:12:52,190 --> 00:12:57,950
+وبالتالي بيصير فيه غياب لل signal transduction هذا
+
+155
+00:12:57,950 --> 00:13:04,990
+X-linked وال Jack deficiency هو عبارة عن اتزوم ال
+
+156
+00:13:04,990 --> 00:13:12,290
+recessive disease اي
+
+157
+00:13:12,290 --> 00:13:15,670
+اتزوم ال recessive قلنا غياب ال Jack تلاتة هو
+
+158
+00:13:15,670 --> 00:13:21,290
+عبارة عن Tyrosine Kinase وطبعا غياببيعني مافيش
+
+159
+00:13:21,290 --> 00:13:24,950
+signal transduction ووجدوا ان ال expression of
+
+160
+00:13:24,950 --> 00:13:28,530
+Jack موجود في كل ال hemopoietic cells وبالتالي
+
+161
+00:13:28,530 --> 00:13:33,790
+مايصيرش في maturation للخلايا
+
+162
+00:13:33,790 --> 00:13:40,310
+هذه النقطة التانية T minus B minus ومن الأمراض
+
+163
+00:13:40,310 --> 00:13:46,830
+المشاركة في هذا ال group هو ال adenosine diamine
+
+164
+00:13:46,830 --> 00:13:52,160
+deficiencyوهذا عبارة عن نزاين بيلعب دور كبير في
+
+165
+00:13:52,160 --> 00:13:59,660
+الـ Purine pathway يمثل 20% من حالات الـ Skid وهو
+
+166
+00:13:59,660 --> 00:14:05,260
+عبارة عن autism recessive disease وغيابه بيعني
+
+167
+00:14:05,260 --> 00:14:11,720
+accumulation of toxic wastes بيصير في build up في
+
+168
+00:14:11,720 --> 00:14:20,200
+build up ليش لل toxic waste في الجسمطبعا it has
+
+169
+00:14:20,200 --> 00:14:24,340
+greatest impact of the immune على الجهاز المناعى
+
+170
+00:14:24,340 --> 00:14:29,880
+بيأدى للفيلير أو both T and B cell development بعد
+
+171
+00:14:29,880 --> 00:14:32,260
+تانى اللى هو purely nucleotide phosphorylase
+
+172
+00:14:32,260 --> 00:14:33,020
+deficiency
+
+173
+00:14:35,470 --> 00:14:39,610
+هذا سيؤدي أيضًا إلى بناء تجارب من أجهزة مخاطرة
+
+174
+00:14:39,610 --> 00:14:47,910
+خصوصًا هذه الأجهزة المخاطرة بإمكانها تدمر نظام
+
+175
+00:14:47,910 --> 00:14:52,930
+الهيولوجيا وبيأثر
+
+176
+00:14:52,930 --> 00:14:57,570
+أيضًا على الـ T-cell وبالتالي كل الانفويتشيو
+
+177
+00:14:57,570 --> 00:15:03,470
+مدفنين نوع تاني اللي هو Recombinase deficiency
+
+178
+00:15:04,630 --> 00:15:09,150
+أيضاً الـ Recombinase Deficiency نعرف أنه في
+
+179
+00:15:09,150 --> 00:15:13,610
+الجينات المسؤولة اللي هي RAG 1 و RAG 2 هما two
+
+180
+00:15:13,610 --> 00:15:16,750
+important genes موجودين فى الـ lymphocytes only
+
+181
+00:15:16,750 --> 00:15:21,710
+وبيلعبوا دور كبير فى ال rearrangement of both
+
+182
+00:15:21,710 --> 00:15:28,950
+immunoglobulin gene and TCR gene وبالتالي غيابهم
+
+183
+00:15:29,520 --> 00:15:34,520
+بيؤدي إلى خلل في الـ gene rearrangement وبالتالي
+
+184
+00:15:34,520 --> 00:15:38,600
+الـ mutation بتؤثر إلى complete absence تعمل
+
+185
+00:15:38,600 --> 00:15:43,440
+complete absence للـ T و B الانفسايت وبالتالي
+
+186
+00:15:43,440 --> 00:15:44,540
+مافيش immunoglobul
+
+187
+00:15:50,790 --> 00:15:56,210
+وبالتالي مافيش match or لأ تي ولا بي لأن ال
+
+188
+00:15:56,210 --> 00:16:04,670
+function is intact تي بلس بي ماعين اذا بيقولوا
+
+189
+00:16:06,040 --> 00:16:10,740
+وقالوا ان أشارها الـ Omen Syndrome والـ Omen
+
+190
+00:16:10,740 --> 00:16:17,280
+Syndrome أيضًا هو عبارة عن خلل بيصير فيه reduction
+
+191
+00:16:17,280 --> 00:16:21,420
+في ال or partial complete or partial reduction of
+
+192
+00:16:21,420 --> 00:16:27,900
+the rag genes وبالتالي بيصير فيه خلل في ال rag
+
+193
+00:16:27,900 --> 00:16:32,760
+activity ال clinical presentation زي وزي ال graft
+
+194
+00:16:32,760 --> 00:16:39,350
+versus host diseaseوالناس دولة تدفع هذه التحكمات
+
+195
+00:16:39,350 --> 00:16:44,390
+للنظام الانيونيو وهم لديهم جسد كبير جي تي
+
+196
+00:16:44,390 --> 00:16:51,550
+انفلتراتيشن من زينوفيل واكتفيت تي سيل تدفعنا ال
+
+197
+00:16:51,550 --> 00:16:57,290
+تيهيلبرتو باتوي سايتو كاين وهذا بيقدر الهيبر اي جي
+
+198
+00:16:57,290 --> 00:17:00,730
+اي سيندروم ومال نيوتراشين
+
+199
+00:17:03,450 --> 00:17:08,590
+المحاصلة مرضى من هذا النوع بيحتاج الى pre
+
+200
+00:17:08,590 --> 00:17:14,430
+-treatment with immunosuppressive drug ال
+
+201
+00:17:14,430 --> 00:17:21,550
+T plus B plus subgroup كل التنتين موجودين لكن they
+
+202
+00:17:21,550 --> 00:17:24,870
+are not functioning أشهر هذه الأمراض ال pair
+
+203
+00:17:24,870 --> 00:17:30,040
+lymphocyte syndromeده هو بيقدي الى results from
+
+204
+00:17:30,040 --> 00:17:34,920
+the failure to express HLA molecule والسبب في ذلك
+
+205
+00:17:34,920 --> 00:17:37,960
+طبعا مافيش HLA molecule يعني مافيش antigen
+
+206
+00:17:37,960 --> 00:17:45,220
+presentation بواسطة طبعا اللي هو HLA class 2
+
+207
+00:17:45,220 --> 00:17:48,680
+molecule deficiency في الغالب class 1 ممكن يكون
+
+208
+00:17:48,680 --> 00:17:54,470
+متأثر وممكن لأcirculating T and B cell may be
+
+209
+00:17:54,470 --> 00:18:00,110
+normal لكن في غياب ال HLA class 2 موليكيول ما
+
+210
+00:18:00,110 --> 00:18:07,180
+بيحصل فيه antigen presentation ل CD4 T cellالـ ZAP
+
+211
+00:18:07,180 --> 00:18:12,080
+-17 ميوتيشن هي عبارة عن كيميكال
+
+212
+00:18:12,080 --> 00:18:19,620
+ميسنجر بيعمل نقل للإشارة بمنخد
+
+213
+00:18:19,620 --> 00:18:21,700
+TCR للنوكلياس وهو نقل للإشارة بمنخد TCR للنوكلياس
+
+214
+00:18:21,700 --> 00:18:24,800
+وهو نقل للإشارة بمنخد TCR للنوكلياس وهو نقل
+
+215
+00:18:24,800 --> 00:18:27,880
+للإشارة
+
+216
+00:18:27,880 --> 00:18:31,840
+بمنخد TCR للنوكلياسشوفوا هذه العلاقة ما أحلاها
+
+217
+00:18:31,840 --> 00:18:37,580
+نعرف انه في عندنا antigen presenting cell ماشي
+
+218
+00:18:37,580 --> 00:18:43,160
+بتقدم اللي هو
+
+219
+00:18:43,160 --> 00:18:47,400
+telophosize
+
+220
+00:18:47,400 --> 00:18:56,040
+ال antigen ل telophosize و طبعاسواء كانت الـ
+
+221
+00:18:56,040 --> 00:19:01,140
+Antigen Presenting Cell Macrophage او B Cell تنتهي
+
+222
+00:19:01,140 --> 00:19:05,660
+بقدم الانتجين لمن؟ لـ T-Lymphocyte شوفوا احتمالات
+
+223
+00:19:05,660 --> 00:19:09,340
+الخلال كيف بتصير قبل احتمال يصير فيه خلال في ال
+
+224
+00:19:09,340 --> 00:19:13,220
+MSC Class II بيعمل مرض يسمونه Pale Lymphocyte
+
+225
+00:19:13,220 --> 00:19:16,740
+Syndrome حاجة نقال متوم احتمال الخلاز يكون في ال
+
+226
+00:19:16,740 --> 00:19:20,860
+FAS او ال FAS Legend و هيعمل FAS Deficiency
+
+227
+00:19:20,860 --> 00:19:27,110
+Syndromeو احتمال الخلق يكون في CD40 legend و CD40
+
+228
+00:19:27,110 --> 00:19:30,590
+legend موجود على ال T cell بيعمل حاجة بيسموها
+
+229
+00:19:30,590 --> 00:19:37,990
+Hyper IgM Syndrome اثر
+
+230
+00:19:37,990 --> 00:19:43,150
+Multi System Disorders بالاضافة لل skid في skid
+
+231
+00:19:43,150 --> 00:19:48,190
+like clinical picture associated with certain
+
+232
+00:19:48,190 --> 00:19:52,000
+disease زي Stuttgart-Aldrich Syndromeودا اسمه
+
+233
+00:19:52,000 --> 00:19:56,940
+syndrome عبارة عن x-linked disease بيتمثل بالقاتل
+
+234
+00:19:56,940 --> 00:20:00,860
+نمرا واحد في bleeding لأنه فيه thrombocytopenia
+
+235
+00:20:00,860 --> 00:20:04,340
+نمرا اتنين في recurrent bacterial infection في
+
+236
+00:20:04,340 --> 00:20:12,200
+allergic reaction في long term patient ممكن يجلب ل
+
+237
+00:20:12,200 --> 00:20:18,680
+malignant disease و ال genetic basisنت يعني
+
+238
+00:20:18,680 --> 00:20:24,580
+ميوتيشن في الـ X-linked gene اللي بيقدّي الى a
+
+239
+00:20:24,580 --> 00:20:29,940
+witch code for ويسكوت ألدريخ سندروم بروتين وهذا
+
+240
+00:20:29,940 --> 00:20:35,400
+موجود في كل الـ hemopoietic stem cells both T and
+
+241
+00:20:35,400 --> 00:20:38,220
+B cell are functionally non abnormal
+
+242
+00:20:40,700 --> 00:20:47,340
+وبالتالي لا يمكن الشخص ان يتفاعل بـ Polysaccharide
+
+243
+00:20:47,340 --> 00:20:51,640
+Antigen التعامل في هذه الحالة يحتاج إلى Antibiotic
+
+244
+00:20:51,640 --> 00:20:57,600
+وAntiviral و بولمارو ترانسبلانتيشن و بدون هذا
+
+245
+00:20:57,600 --> 00:21:02,260
+العلاج ال life expectancy لا تتعدى تلت سنوات
+
+246
+00:21:02,260 --> 00:21:09,180
+أتاكسيا تلانجكتازيامن القصير برضه مرضى system
+
+247
+00:21:09,180 --> 00:21:14,320
+genetic disorders بيتمثل بالقاتل بيصير فيه jerky
+
+248
+00:21:14,320 --> 00:21:19,480
+movement or lack of muscle coordination ونمر اتنين
+
+249
+00:21:19,480 --> 00:21:24,170
+abnormal vascular dilatation تلعنجكتازيةفي الـ eye
+
+250
+00:21:24,170 --> 00:21:28,570
+و ال skin و بزيادة ال susceptibility to infection
+
+251
+00:21:28,570 --> 00:21:34,870
+بيصير اندولنفومة و ال defect في ال both B و T cell
+
+252
+00:21:34,870 --> 00:21:40,270
+ال gene طبعا of ataxia telangiectasia code for a
+
+253
+00:21:40,270 --> 00:21:46,490
+protein known ATM الأطفال have a risk for
+
+254
+00:21:46,490 --> 00:21:51,870
+developing malignancy خصوصا ال lymphoid neoplasm
+
+255
+00:21:55,810 --> 00:22:01,390
+الـ category التاني هو ال immune deficiency
+
+256
+00:22:01,390 --> 00:22:04,030
+disorder associated with T cell and cell-mediated
+
+257
+00:22:04,030 --> 00:22:08,510
+immunity قالوا الناس هدولة مش عندهم T cell
+
+258
+00:22:08,510 --> 00:22:12,790
+associated deficiency disease انه اتفقنا على ان ال
+
+259
+00:22:12,790 --> 00:22:19,090
+T cell deficiency ماهيشي associated with اللي هو
+
+260
+00:22:19,090 --> 00:22:21,810
+disease زي ال viral fungal protozoal infection
+
+261
+00:22:23,590 --> 00:22:26,890
+وكلنا بنعرف إن الـ T-Lymphocyte بتساعد الـ B
+
+262
+00:22:26,890 --> 00:22:30,730
+-Lymphocyte في إنتاج الـ antibody which antibody
+
+263
+00:22:30,730 --> 00:22:36,430
+would form T cell dependent antigen وغياب or T
+
+264
+00:22:36,430 --> 00:22:40,810
+cell associated deficiency هيعمل selective defect
+
+265
+00:22:40,810 --> 00:22:46,170
+in antibody production وبالتالي T cell deficient
+
+266
+00:22:46,170 --> 00:22:51,430
+patient have difficultto distinguish have
+
+267
+00:22:51,430 --> 00:22:55,850
+difficulty to distinguish clinically to be
+
+268
+00:22:55,850 --> 00:23:00,270
+distinguished clinically from a skeptic patient ما
+
+269
+00:23:00,270 --> 00:23:05,450
+زال ال B و ال T مش موجودة يبقى كمان ال B مش راح
+
+270
+00:23:05,450 --> 00:23:09,350
+تشتغل Congenital
+
+271
+00:23:09,350 --> 00:23:13,890
+Thymic Aplasia اللي هو ديجارد سندروم قلنا هذا في
+
+272
+00:23:13,890 --> 00:23:20,950
+مراحل مبكرة جدا بصير اذا فاكرين في رقم اتنينفي الـ
+
+273
+00:23:20,950 --> 00:23:26,110
+T cell hemopoietic maturation steps المهم دي جورج
+
+274
+00:23:26,110 --> 00:23:31,070
+سندروم بيعني انه فيه T cell deficiency و in which
+
+275
+00:23:31,070 --> 00:23:34,770
+the cell must develop abnormally مافيش ايش مافيش
+
+276
+00:23:34,770 --> 00:23:38,950
+development يبقى مافي إنتاج ل T lymphocyte no T
+
+277
+00:23:38,950 --> 00:23:46,310
+cell و نقول إن الخلل ناتج عن defective migration
+
+278
+00:23:46,310 --> 00:23:51,420
+of fetal neural crest cellsالثالثة والتالتة
+
+279
+00:23:51,420 --> 00:23:58,280
+مصطلحات الفرنجيال وبالتالي المريض الهارد والفيس
+
+280
+00:23:58,280 --> 00:24:05,480
+يتطور بشكل طبيعي وبرضه الثايمس والبراثيرويد لا يتم
+
+281
+00:24:05,480 --> 00:24:08,820
+تصميم هذا يؤدي إلى ثايمك أبليجيا
+
+282
+00:24:08,820 --> 00:24:14,640
+وhypoparathyroidism ثايمك
+
+283
+00:24:14,640 --> 00:24:18,940
+أبليجيا ينتهي في مفاجأة مدرسة مدرسة مدرسة مدرسة
+
+284
+00:24:19,890 --> 00:24:24,170
+Dudler's syndrome هو مش hereditary disease وانما
+
+285
+00:24:24,170 --> 00:24:31,990
+بيصير فيه Sporadic deficiency in chromosome 22q11
+
+286
+00:24:31,990 --> 00:24:36,990
+or deletion طبعا هدول المرضى بيصير في عندهم
+
+287
+00:24:36,990 --> 00:24:40,350
+recurrent of or chronic infection with viruses
+
+288
+00:24:40,350 --> 00:24:47,810
+بكتيريا فنجاى بروتوزوهو و الناس هدول عندهم قياب لل
+
+289
+00:24:47,810 --> 00:24:54,090
+T cellأيضًا فشلت تجري على تجارب الانتباه هذه
+
+290
+00:24:54,090 --> 00:24:56,730
+الأشخاص لا يجب أن يكونوا مميزين بواسطة مواجهة
+
+291
+00:24:56,730 --> 00:24:58,610
+مواجهة مواجهة مواجهة مواجهة مواجهة مواجهة مواجهة
+
+292
+00:24:58,610 --> 00:25:02,910
+مواجهة مواجهة مواجهة
+
+293
+00:25:03,160 --> 00:25:06,740
+with normal peripheral T cell number يعني فيه
+
+294
+00:25:06,740 --> 00:25:12,140
+normal T lymphocyte لكن في نفس الوقت فشي فشي
+
+295
+00:25:12,140 --> 00:25:17,960
+function ادى functional defect فى T cell ايضا
+
+296
+00:25:17,960 --> 00:25:22,260
+opportunistic infection and high incidence of
+
+297
+00:25:22,260 --> 00:25:27,140
+autoimmune disease ملاحظات it's autosomal
+
+298
+00:25:27,140 --> 00:25:32,200
+recessive pattern وطبعا هو عبارة عن heterogeneous
+
+299
+00:25:32,200 --> 00:25:38,880
+groupأيضا يشمل غياب لل ZAP-17 تيروزينكينيز CD3E
+
+300
+00:25:38,880 --> 00:25:45,860
+وCD3G هو هذه الموليكيول المتعلقة بالإشعار T-cell
+
+301
+00:25:45,860 --> 00:25:55,840
+وبالتالي مافيش فانكشف Autoimmune
+
+302
+00:25:55,840 --> 00:26:01,920
+lymphoproliferative disease اوأيضاً إنها تسمى بـ
+
+303
+00:26:01,920 --> 00:26:06,300
+Inherited by Massive Proliferation of Lymphoid
+
+304
+00:26:06,300 --> 00:26:08,980
+Tissue وبدأت
+
+305
+00:26:08,980 --> 00:26:27,160
+يتطططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططط
+
+306
+00:26:32,150 --> 00:26:35,050
+عامل الـ autoimmune lymphoproliferative الشخصية أو
+
+307
+00:26:35,050 --> 00:26:43,170
+الشخصية السينامية لديها ميوتيشن في الـ FAS جين
+
+308
+00:26:43,170 --> 00:26:51,870
+يتعامل مع الـ FAS بروتين CD95 يتعامل مع الـ
+
+309
+00:26:51,870 --> 00:27:00,350
+Apoptosis signaling لديهم واحد طبيعي وواحد ميوتيت
+
+310
+00:27:00,350 --> 00:27:07,140
+FAS موليكولوهذا بيؤدي او that mutated phase
+
+311
+00:27:07,140 --> 00:27:11,140
+molecule interfere with the function of normal
+
+312
+00:27:11,140 --> 00:27:15,780
+molecule طبعا ال mutated هو اللي بيتدخل في ال
+
+313
+00:27:15,780 --> 00:27:20,420
+function of normal molecule these patients have
+
+314
+00:27:20,420 --> 00:27:25,840
+defect in other component of apoptosis pathway زي
+
+315
+00:27:25,840 --> 00:27:29,120
+ال phase ligand or case base 10
+
+316
+00:27:31,670 --> 00:27:37,270
+Chronic Mucocutaneous Candidiasis بيه من الاسم
+
+317
+00:27:37,270 --> 00:27:42,250
+Candidiasis يعني فيه Candida infection of skin and
+
+318
+00:27:42,250 --> 00:27:47,830
+mucous membrane غالبا المرضى have normal T cell
+
+319
+00:27:47,830 --> 00:27:52,070
+mediated immunity to microorganism other than
+
+320
+00:27:52,070 --> 00:27:56,810
+Candida and normal B cell mediated immunityto all
+
+321
+00:27:56,810 --> 00:28:04,190
+microorganism بما فيها ال Canada يعني الخلل في
+
+322
+00:28:04,190 --> 00:28:09,210
+ايه؟ في ال T-lymphocyte which can respond to all
+
+323
+00:28:09,210 --> 00:28:12,930
+ال micro part مع ال Canada بينما ال B-lymphocyte
+
+324
+00:28:12,930 --> 00:28:17,350
+is normal they have selective defect in the
+
+325
+00:28:17,350 --> 00:28:20,210
+functional of T cell
+
+326
+00:28:23,500 --> 00:28:28,520
+التاني هو ال BCL-R immunoglobulin associated
+
+327
+00:28:28,520 --> 00:28:33,400
+immunodeficiency وأشهر
+
+328
+00:28:33,400 --> 00:28:36,980
+مثال على ذلك بروتون اي جاما غلوبيلانينيا وهو عبارة
+
+329
+00:28:36,980 --> 00:28:42,340
+عن X-linked infantile اي جاما غلوبيلانينيا الأطفال
+
+330
+00:28:42,340 --> 00:28:48,260
+من Infanta الأطفال present with serious unrepeated
+
+331
+00:28:48,260 --> 00:28:52,390
+infectionوسبب في ذلك is severe depression or
+
+332
+00:28:52,390 --> 00:28:56,710
+virtual absence of all immunoglobulin نحنا بنحكي
+
+333
+00:28:56,710 --> 00:29:00,890
+عليها protons يعني مافيش بي سل مافيش ايش بي
+
+334
+00:29:00,890 --> 00:29:06,650
+lymphocyte معناته مافيش antibody production طبعا
+
+335
+00:29:06,650 --> 00:29:11,250
+ال major defect وجدوه انه في عدم قدرة البيت انها
+
+336
+00:29:11,250 --> 00:29:19,290
+تجلب to be mature as B cell protons جين
+
+337
+00:29:20,990 --> 00:29:28,470
+تم تغييره بطريقة X مرتبطة هذه
+
+338
+00:29:28,470 --> 00:29:33,710
+الجيوانات تدعى تيروزين كينيز انزعيم موجود في
+
+339
+00:29:33,710 --> 00:29:39,150
+الـCytosol XLA
+
+340
+00:29:39,150 --> 00:29:44,810
+تم تحيطه لعقل عقلي المتوسط المتوسط
+
+341
+00:29:44,810 --> 00:29:46,210
+الموجود في الـCytoplasmic
+
+342
+00:29:49,190 --> 00:29:53,930
+Patient suffered repeated infection Treatment طبعا
+
+343
+00:29:53,930 --> 00:29:57,490
+Periodic injection of intravenous gamma globulin
+
+344
+00:29:57,490 --> 00:30:04,670
+بيحتوي على IgG Transient
+
+345
+00:30:04,670 --> 00:30:10,990
+Hypo Gamma Globulinemia اسم Transient في عمر خمسة
+
+346
+00:30:10,990 --> 00:30:16,940
+لست شهوربيصير فيه Passively transferred from
+
+347
+00:30:16,940 --> 00:30:26,980
+maternal to fetus of IgG antibody وطبعا
+
+348
+00:30:26,980 --> 00:30:36,140
+في هذه الحالة بيبدأ ال IGG بيبدأ يظهر
+
+349
+00:30:36,140 --> 00:30:44,810
+اللي هو ال infant IGG premature infantممكن يصير
+
+350
+00:30:44,810 --> 00:30:49,570
+عنده Transient IgG Deficiency if they are not yet
+
+351
+00:30:49,570 --> 00:30:55,050
+able to synthesize immunoglobulin sometimes helper
+
+352
+00:30:55,050 --> 00:30:59,630
+T cells are deficient يعني بيصير فيه غياب في ال T
+
+353
+00:30:59,630 --> 00:31:04,030
+lymphocyte help وبالتالي مافيش Antibody production
+
+354
+00:31:04,030 --> 00:31:08,070
+أو B cell functioning يعني مافيش شيء this disease
+
+355
+00:31:08,070 --> 00:31:10,310
+may persist for a few months و
+
+356
+00:31:12,600 --> 00:31:17,900
+بالكتير لغاية سنتين it's not x-linked and should
+
+357
+00:31:17,900 --> 00:31:24,240
+be distinguished from x-linked disease خلال وجود
+
+358
+00:31:24,240 --> 00:31:29,460
+ال normal number of B cells immunization should
+
+359
+00:31:29,460 --> 00:31:33,800
+not be given during this period common variable
+
+360
+00:31:33,800 --> 00:31:38,120
+immunodeficiency من الإسم it's characterized by
+
+361
+00:31:38,120 --> 00:31:39,280
+غياب
+
+362
+00:31:43,570 --> 00:31:51,510
+ماشي او reduction في ال serum IgG و IgA و بيكون في
+
+363
+00:31:51,510 --> 00:31:57,890
+عنده IgM normal او low و طبعا في normal او low
+
+364
+00:31:57,890 --> 00:32:03,950
+برفر ال B cell number ال B cell fails to mature
+
+365
+00:32:03,950 --> 00:32:09,650
+into plasma cellوالمرضى have recurrent respiratory
+
+366
+00:32:09,650 --> 00:32:13,550
+and gastrointestinal infection treatment by
+
+367
+00:32:13,550 --> 00:32:22,850
+intravenous immunoglobulin selective
+
+368
+00:32:22,850 --> 00:32:29,160
+immunoglobulin deficiencyالـ IgA-Deficiency غالبا
+
+369
+00:32:29,160 --> 00:32:31,860
+مرضى بس يكون عندهم recurrent viral or bacterial
+
+370
+00:32:31,860 --> 00:32:35,300
+infection, celiac disease, defective absorption
+
+371
+00:32:35,300 --> 00:32:39,060
+and repel اللي هو عبارة عن الـ celiac or maybe
+
+372
+00:32:39,060 --> 00:32:43,720
+entirely asymptomatic، treatment بده pro-the
+
+373
+00:32:43,720 --> 00:32:47,360
+spectrum antibiotic، IgM-Deficiency، rare
+
+374
+00:32:47,360 --> 00:32:52,300
+disorders وطبعاالمرضى بيعانوا من recurrent and
+
+375
+00:32:52,300 --> 00:32:54,740
+severe infection with polysaccharide antigen
+
+376
+00:32:54,740 --> 00:32:59,840
+-encapsulated organism زي pneumonia أو pneumococci
+
+377
+00:32:59,840 --> 00:33:05,040
+and hemophilus inflammation ال disorders of T and
+
+378
+00:33:05,040 --> 00:33:11,780
+B interaction زي الhyper IgM syndrome وهو عبارة عن
+
+379
+00:33:11,780 --> 00:33:18,150
+hyper X-linked hyper IgM syndromePresent with
+
+380
+00:33:18,150 --> 00:33:22,530
+recurrent respiratory infection من أول سنة إلى
+
+381
+00:33:22,530 --> 00:33:27,670
+سنتين من العمر ميتيشن موجودة في CD40-ligand جين
+
+382
+00:33:27,670 --> 00:33:32,010
+الموجود على الإكسي كرومزوم اللي يبقى بيقدي إلى
+
+383
+00:33:32,010 --> 00:33:37,890
+CD40-ligand وبالتالي في الشيء
+
+384
+00:33:40,910 --> 00:33:45,050
+سيجنال ترانزدكشن يعني مافيش فانكشن CD40 لجن برت
+
+385
+00:33:45,050 --> 00:33:50,390
+برت مع CD40 موجود على سطح بي لينفوسايت وطبعا this
+
+386
+00:33:50,390 --> 00:33:57,810
+interaction rescue the B cell from apoptosis X
+
+387
+00:33:57,810 --> 00:34:00,990
+-linked lymph proliferative disease Duncan
+
+388
+00:34:00,990 --> 00:34:08,070
+syndrome وهذه بيصير في عدم قدرة عند ال T cell to
+
+389
+00:34:08,070 --> 00:34:13,700
+regulate B cell growthهو بيعتبر major part of the
+
+390
+00:34:13,700 --> 00:34:19,820
+underlying disease
+
+391
+00:34:19,820 --> 00:34:24,220
+يعني this mechanism deficiency هو الأساس في
+
+392
+00:34:24,220 --> 00:34:29,730
+الموضوع ال lymphoma incidence is highوانتقل للـ
+
+393
+00:34:29,730 --> 00:34:35,090
+phagocytic function فقط
+
+394
+00:34:35,090 --> 00:34:40,930
+للتذكير الفاجوسيتك فانكشن يعني إذا كان فيه خلل في
+
+395
+00:34:40,930 --> 00:34:48,910
+خطوات الفاجوسيتس فقط للتذكير الفاجوسيتس خطوات
+
+396
+00:34:48,910 --> 00:34:54,620
+الفاجوسيتس هي أدهيجينثم ال diabetes ثم ال
+
+397
+00:34:54,620 --> 00:35:00,340
+chemotaxis ثم الفاجو سايتوسيث ثم ال killing و
+
+398
+00:35:00,340 --> 00:35:07,080
+التالي في غياب في كل مرحلة من المراحل هذه يؤدي لها
+
+399
+00:35:07,080 --> 00:35:11,280
+كل مرحلة is combined or is associated with certain
+
+400
+00:35:11,280 --> 00:35:18,460
+disease ماشي اذا صار فيه برضه الخلل مضري معناته كل
+
+401
+00:35:18,460 --> 00:35:22,550
+المراحل اللي قد تليها واقفةوإذا كان الخلل حدث
+
+402
+00:35:22,550 --> 00:35:27,990
+مثلًا مثلًا في اللاد مثلًا مثلًا مثلًا مثلًا مثلًا
+
+403
+00:35:27,990 --> 00:35:29,070
+مثلًا مثلًا مثلًا مثلًا مثلًا مثلًا مثلًا مثلًا
+
+404
+00:35:29,070 --> 00:35:29,070
+مثلًا مثلًا مثلًا مثلًا مثلًا مثلًا مثلًا مثلًا
+
+405
+00:35:29,070 --> 00:35:32,470
+مثلًا مثلن مثلن مثلن مثلن مثلن مثلن مثلن مثلن مثلن
+
+406
+00:35:32,470 --> 00:35:33,030
+مثلن مثلن مثلن مثلن مثلن مثلن مثلن مثلن مثلن مثلن
+
+407
+00:35:33,030 --> 00:35:37,450
+مثلن مثلن مثلن مثلن مثلن مثلن مثلن مثلن مثلن مثلن
+
+408
+00:35:37,450 --> 00:35:43,450
+مثلن مثلن مثلن مثلن
+
+409
+00:35:44,920 --> 00:35:49,480
+LAD هو برنامج group of disorders بيتميز من بيصير
+
+410
+00:35:49,480 --> 00:35:52,560
+فيه خلل في ال interaction ما بين ال leukocyte مع
+
+411
+00:35:52,560 --> 00:36:00,660
+ال vascular endothelial cells و طبعا هاي المراحل
+
+412
+00:36:00,660 --> 00:36:04,700
+طبعا جالوا فيه اكتر من مرحلة لل LAD disease و
+
+413
+00:36:04,700 --> 00:36:09,240
+قسموها لتلت مراحل LAD 1, LAD 2, LAD 3 و زي ما
+
+414
+00:36:09,240 --> 00:36:13,400
+انتوا شايفين في LAD 1 بيصير فيه خلل في ال diabetes
+
+415
+00:36:15,830 --> 00:36:20,730
+في الهد اتنين بيصير فيه خلل في ال adhesion في الهد
+
+416
+00:36:20,730 --> 00:36:23,330
+التلاتة بيصير فيه خلل في ال activation اللي هي
+
+417
+00:36:23,330 --> 00:36:27,450
+الفاجو سيتوسس بيصير فيها خلل ماشي اليوم بيصير فيه
+
+418
+00:36:27,450 --> 00:36:33,290
+خلل في واحد اللي هي ال adhesion أول واحدة بيصير
+
+419
+00:36:33,290 --> 00:36:38,130
+فيه خلل في كل هذه المراحل ماشي فاليوم بيصير فيه
+
+420
+00:36:38,130 --> 00:36:41,270
+خلل في أخر واحدة اللي هي ال activationطبعا بيحصل
+
+421
+00:36:41,270 --> 00:36:51,110
+فيه أمراض زي الـ Chediac Higashi Syndrom وCDD هاي
+
+422
+00:36:51,110 --> 00:36:53,510
+اللي هاد واحد حضر عن الـ autosomal recessive
+
+423
+00:36:53,510 --> 00:36:58,870
+disease مهابينج تو كروموزومانوم 22 المرضى عندهم ال
+
+424
+00:36:58,870 --> 00:37:03,690
+effect ان هتكون subunits of integrin molecule وهذا
+
+425
+00:37:03,690 --> 00:37:09,210
+بيقدي إلى اللي هو انه adhesion to feel adhesion
+
+426
+00:37:09,210 --> 00:37:12,740
+and migrationof all white blood cells in the army
+
+427
+00:37:14,860 --> 00:37:18,980
+في الأدواح المرضى يحصل عندهم current soft tissue
+
+428
+00:37:18,980 --> 00:37:22,760
+bacterial infection ويزيد الوقت blood cell count
+
+429
+00:37:22,760 --> 00:37:27,540
+لكن بدون bus formation يعني مافي activity ومافيش
+
+430
+00:37:27,540 --> 00:37:31,060
+كل الأخمات اللي ورا ال adhesion او ال effecting
+
+431
+00:37:31,060 --> 00:37:35,140
+wound healing lymphocyte function is also affected
+
+432
+00:37:35,140 --> 00:37:39,500
+due to the lack of lymphocyte functioning antigen
+
+433
+00:37:39,500 --> 00:37:44,860
+one expressionالـ Add to قلنا بيصير فيه defect in
+
+434
+00:37:44,860 --> 00:37:50,180
+selecting الـ legend والـ underlying defect اللي
+
+435
+00:37:50,180 --> 00:37:54,400
+هو Add to بيصير
+
+436
+00:37:54,400 --> 00:37:58,700
+فيه أيضًا خلال الفيلم فيوكوز متع Polism وده بيقد
+
+437
+00:37:58,700 --> 00:38:03,140
+إلى غياب فيوكوز ليت ال legend for selecting to be
+
+438
+00:38:03,140 --> 00:38:08,560
+bind وده مثل أو صورة حلوة لهذا الموضوع الاد واحد
+
+439
+00:38:08,560 --> 00:38:18,290
+في الشيءهي عبارة عن اتيجينماشي لد اتنين عبارة عن
+
+440
+00:38:18,290 --> 00:38:24,270
+rolling Selected تكون غير رقم تلاتة اللي هو ال
+
+441
+00:38:24,270 --> 00:38:31,110
+activation is defected طبعا هذا كله في لد واحد بس
+
+442
+00:38:31,110 --> 00:38:36,070
+فيه خلال في الارتباط و ال transmigration اللي هو
+
+443
+00:38:45,690 --> 00:38:52,590
+انتجرانيال او أوريجانيلي بيصير
+
+444
+00:38:52,590 --> 00:38:57,750
+في عندها قلة في ال interest of the organism و this
+
+445
+00:38:57,750 --> 00:39:00,470
+results in
+
+446
+00:39:02,700 --> 00:39:11,060
+فاجوزوم فرمشي أو فاجوزوم فرمشي او
+
+447
+00:39:11,060 --> 00:39:11,740
+فاجوزوم فرمشي او فاجوزوم فرمشي او فاجوزوم فرمشي او
+
+448
+00:39:11,740 --> 00:39:17,280
+فاجوزوم فرمشي او فاجوزوم فرمشي او فاجوزوم فرمشي او
+
+449
+00:39:17,280 --> 00:39:22,200
+فاجوزوم فرمشي او فاجوزوم
+
+450
+00:39:23,380 --> 00:39:26,020
+مخلوق كبير من المخلوق المخلوق المخلوق المخلوق
+
+451
+00:39:26,020 --> 00:39:27,180
+المخلوق المخلوق المخلوق المخلوق المخلوق المخلوق
+
+452
+00:39:27,180 --> 00:39:30,020
+المخلوق المخلوق المخلوق المخلوق المخلوق المخلوق
+
+453
+00:39:30,020 --> 00:39:31,620
+المخلوق المخلوق المخلوق المخلوق المخلوق المخلوق
+
+454
+00:39:31,620 --> 00:39:33,240
+المخلوق المخلوق المخلوق المخلوق المخلوق المخلوق
+
+455
+00:39:33,240 --> 00:39:38,680
+المخلوق المخلوق المخلوق
+
+456
+00:39:38,680 --> 00:39:40,940
+المخلوق المخلوق المخلوق المخلوق المخلوق المخلوق
+
+457
+00:39:40,940 --> 00:39:40,940
+المخلوق المخلوق المخلوق المخلوق المخلوق المخلوق
+
+458
+00:39:40,940 --> 00:39:40,940
+المخلوق المخلوق المخلوق المخلوق المخلوق المخلوق
+
+459
+00:39:40,940 --> 00:39:46,160
+المخلوق المخلوق المخلوق المخلوق المخلوق
+
+460
+00:39:48,980 --> 00:39:53,040
+وبالتالي بيحصل فيه عملية phagocytosis لكن مافيه
+
+461
+00:39:53,040 --> 00:39:57,600
+killing وبيحصل فيه intracellular survival
+
+462
+00:39:57,600 --> 00:40:03,060
+فالorganism بيؤدي لgranuloma formation ميوتيشن
+
+463
+00:40:03,060 --> 00:40:06,380
+وجدوها في ال enzymes which catalyzes the
+
+464
+00:40:06,380 --> 00:40:10,800
+respiratory burst وبيحصل
+
+465
+00:40:10,800 --> 00:40:17,120
+فيه قلة في الintracellular killing محصلة او غياب
+
+466
+00:40:19,320 --> 00:40:22,700
+وبنلاحظ هذه الحالات في أول شهر أو أول سنتين من
+
+467
+00:40:22,700 --> 00:40:31,400
+العمر بيصير عنده recurrent infection حتى أضعف ال
+
+468
+00:40:31,400 --> 00:40:35,660
+microbes مرة
+
+469
+00:40:35,660 --> 00:40:40,720
+أخر interferon جامع receptor deficiency بيصير فيه
+
+470
+00:40:40,720 --> 00:40:43,900
+mutation في ال interferon عائلة أخرى من عائلات ال
+
+471
+00:40:43,900 --> 00:40:48,030
+receptorبيؤدي الى inability of a monocyte to
+
+472
+00:40:48,030 --> 00:40:53,450
+respond to Gamma Interferon وبالتالي
+
+473
+00:40:53,450 --> 00:40:56,430
+في الsecretion of the tumor necrosis factor Alpha
+
+474
+00:40:56,430 --> 00:41:01,850
+ال patient are susceptible to weakly pathogenic
+
+475
+00:41:01,850 --> 00:41:03,290
+mycobacteria
+
+476
+00:41:06,330 --> 00:41:10,090
+هو الـ Natural Killer Cell Deficiency اللي نعرفه
+
+477
+00:41:10,090 --> 00:41:15,130
+بياب الـ Anky cell بيؤدي الى الـ Impaired
+
+478
+00:41:15,130 --> 00:41:19,090
+Allograft Rejection مفيش شيء الـ Impairment
+
+479
+00:41:19,090 --> 00:41:24,930
+Rejection And is linked to higher susceptibility
+
+480
+00:41:24,930 --> 00:41:29,170
+to viral disease و بيصير فيه metastasis from tumor
+
+481
+00:41:31,140 --> 00:41:36,500
+الـ Ankyl cells seen in Skid some T and phagocytic
+
+482
+00:41:36,500 --> 00:41:40,540
+cell disorder and in X-linked lymphoprotective
+
+483
+00:41:40,540 --> 00:41:47,360
+syndrome الأوراق
+
+484
+00:41:47,360 --> 00:41:56,880
+اللي بتتعلق بال complement يعني ال ..الـ
+
+485
+00:41:56,880 --> 00:42:00,180
+complement component الأولانية مهمة جدًا for
+
+486
+00:42:00,180 --> 00:42:07,300
+obsolete زي C3P غالبًا deficiency of complement is
+
+487
+00:42:07,300 --> 00:42:14,700
+associated with SLE disease وهي ال complement
+
+488
+00:42:14,700 --> 00:42:22,740
+يأسكي بميكانزم classical و alternative طبعًا
+
+489
+00:42:22,740 --> 00:42:32,270
+زي ما انتوا شايفيناللي هو سواء كان alternative او
+
+490
+00:42:32,270 --> 00:42:38,110
+lectin pathway او even classical غيابها بيدي لديها
+
+491
+00:42:38,110 --> 00:42:42,330
+diseases مختلفة ففي البداية infections with
+
+492
+00:42:42,330 --> 00:42:46,630
+encapsulated microorganismبقدم شوية robotoid
+
+493
+00:42:46,630 --> 00:42:51,190
+disease واسئل ايه تحت اذا كان في الماك او ال
+
+494
+00:42:51,190 --> 00:42:56,830
+memory attack complex بصير فيه نيسيريا جنورية او
+
+495
+00:42:56,830 --> 00:43:03,260
+نيسيريا مفكشةأي مريض بـ Deficiency of C1,4,2 اللي
+
+496
+00:43:03,260 --> 00:43:07,160
+هو البدايات من الـ Classical Pathway أو C3
+
+497
+00:43:07,160 --> 00:43:11,100
+Deficiency نفسها بيصير فيه زيادة في الـ Infection
+
+498
+00:43:11,100 --> 00:43:14,180
+أو الـ Encapsulated Microorganism حسب الجدول اللي
+
+499
+00:43:14,180 --> 00:43:18,080
+شوفناه طوي زي Streptococcus pneumonia و الـ Biogen
+
+500
+00:43:18,080 --> 00:43:24,720
+و الانفلونزا و أزمة رومانسية بسبب تنظيف غير صحيح
+
+501
+00:43:24,720 --> 00:43:25,480
+للمعاملات الاميونية
+
+502
+00:43:29,040 --> 00:43:33,640
+الـ Deficiency of the man knows by the lectin
+
+503
+00:43:33,640 --> 00:43:38,100
+بيأدى الى طبعا الموجود على ال surface of microbe
+
+504
+00:43:38,100 --> 00:43:45,040
+with or without antibody and activate the
+
+505
+00:43:45,040 --> 00:43:50,240
+classical pathwayأيضًا بيؤدي غيابه إلى risk of
+
+506
+00:43:50,240 --> 00:43:56,380
+infection and SLE-like symptoms غياب C3 associated
+
+507
+00:43:56,380 --> 00:44:04,700
+with symptoms خصوصًا ال complications تبعتها غياب
+
+508
+00:44:04,700 --> 00:44:08,480
+ال lead complement component في الآخر يعني ال MAC
+
+509
+00:44:08,480 --> 00:44:14,160
+زي C56789 اللي بيكونوا ال MAC اللي هو membrane
+
+510
+00:44:14,160 --> 00:44:21,270
+attack complexIt's directly related to the primary
+
+511
+00:44:21,270 --> 00:44:27,010
+defect against gram-negative bacteria خصوصا
+
+512
+00:44:27,010 --> 00:44:30,450
+نيسيرياDefective
+
+513
+00:44:30,450 --> 00:44:34,010
+control of the complement component يعني حتى ال
+
+514
+00:44:34,010 --> 00:44:37,930
+control اذا صار فيه deficiency زي ال hereditary
+
+515
+00:44:37,930 --> 00:44:43,850
+angioedema مشهورة كتير غياب C1 esterase inhibitor
+
+516
+00:44:45,150 --> 00:44:51,370
+بيدى الى اللى هو ال hereditary angioedema طبعا
+
+517
+00:44:51,370 --> 00:44:54,590
+كمية كبيرة من ال vasoactive peptide patient
+
+518
+00:44:54,590 --> 00:44:59,370
+suffering from localized edema و it's life
+
+519
+00:44:59,370 --> 00:45:03,850
+threatening when it occurs in the larynx اه طبعا
+
+520
+00:45:03,850 --> 00:45:07,230
+بيصير فيه اش edema في ال larynx و التانى بيصير فيه
+
+521
+00:45:07,230 --> 00:45:12,730
+obstruction لل airway pathway treatment
+
+522
+00:45:12,730 --> 00:45:19,410
+غالباavoid trauma and infusion of C1 esterase
+
+523
+00:45:19,410 --> 00:45:25,350
+inhibitor.الجليكوزين الفسفة دي ال enacetol protein
+
+524
+00:45:25,350 --> 00:45:33,270
+deficiency نعرف ان هذا بلعب دور كبير في ال as
+
+525
+00:45:33,270 --> 00:45:35,670
+anchored protein
+
+526
+00:45:37,690 --> 00:45:44,190
+هذا عبارة عن عائلة من البروتينات والجليكوزيه
+
+527
+00:45:44,190 --> 00:45:48,530
+الفوسفات ديال الناسيتوه الانكولات is expressed على
+
+528
+00:45:48,530 --> 00:45:51,110
+ال membrane of RBCs lymphocyte granulocyte
+
+529
+00:45:51,110 --> 00:45:54,590
+endothelial cell and epithelial cell معظم الخلايا
+
+530
+00:45:55,790 --> 00:45:58,450
+طبعا DC protein هم عبارة عن البروتينات حماية
+
+531
+00:45:58,450 --> 00:46:02,930
+للخلايا من ال complement activity وبالتالي غيابهم
+
+532
+00:46:02,930 --> 00:46:12,770
+يؤدي إلى غياب ال destruction of cell طبعا
+
+533
+00:46:12,770 --> 00:46:20,730
+كل الخلايا تتأثر في هذا الموضوع وبالتالي the أيضا
+
+534
+00:46:22,580 --> 00:46:26,300
+بيصير فيه hemolysis for all these cells طبعا أشهر
+
+535
+00:46:26,300 --> 00:46:29,800
+هذه للغاية اللي هو ال PNH في ال PNH طبعا ال
+
+536
+00:46:29,800 --> 00:46:33,760
+patient بيصير فيه غياب لل enzyme required for
+
+537
+00:46:33,760 --> 00:46:39,840
+production of GBI اللي هو وبالتالي مافيش GBI عنكم
+
+538
+00:46:39,840 --> 00:46:43,680
+ال protein وبالتالي مافيش بروتينات حماية عشان هيك
+
+539
+00:46:43,680 --> 00:46:50,200
+بزيد ال susceptibility to hemolysisفي الـ Chronic
+
+540
+00:46:50,200 --> 00:46:53,580
+course of B.N.H. Intravascular Hemolysis or CARE
+
+541
+00:46:53,580 --> 00:46:59,060
+طبعا في الكدنى وهذا بيقدى الى اللى هوا activation
+
+542
+00:46:59,060 --> 00:47:03,700
+of complement يعنى فى degeneration للتشو أو damage
+
+543
+00:47:03,700 --> 00:47:08,740
+للتشو ونتوقف
+
+544
+00:47:08,740 --> 00:47:12,520
+هنا لنستكمل
+
+545
+00:47:12,520 --> 00:47:14,220
+فى مرحلة قادمة ان شاء الله
+
diff --git a/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/Ao2FUlFon80_raw.srt b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/Ao2FUlFon80_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..84e0dbcf2185cb9902936c1d8af080ab98188ec3
--- /dev/null
+++ b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/Ao2FUlFon80_raw.srt
@@ -0,0 +1,2852 @@
+1
+00:00:04,280 --> 00:00:08,880
+بسم الله الرحمن الرحيم سنتكلم
+
+2
+00:00:08,880 --> 00:00:11,320
+اليوم ان شاء الله في المحاضرة الرقم اربع عن ال
+
+3
+00:00:11,320 --> 00:00:17,020
+antibody structure and function ودعونا نستذكر سويا
+
+4
+00:00:17,020 --> 00:00:22,900
+يعني هذه المعلومات لان انا بعرف ان عندكم خلفية عن
+
+5
+00:00:22,900 --> 00:00:29,720
+هذا الموضوع ودعونا نبدأ ان شاء الله واتمنى ان تكون
+
+6
+00:00:29,720 --> 00:00:34,420
+في معلومات جيدة وجديدة لكمالمهم اللي أقوله بشكل
+
+7
+00:00:34,420 --> 00:00:40,180
+عام هو عبارة عن antibody بيوجد على شاكلتين في
+
+8
+00:00:40,180 --> 00:00:45,840
+الجسم إما secreted form وإما membrane bound ال
+
+9
+00:00:45,840 --> 00:00:52,980
+membrane bound هو عبارة عن ال antibody اللي موجودة
+
+10
+00:00:52,980 --> 00:00:57,560
+على سطح البيلين في ال size وغالبا هذا بيشتغل ك
+
+11
+00:00:57,560 --> 00:01:02,740
+antigen receptor بينما البلازمةهي اللى بتفرز انها
+
+12
+00:01:02,740 --> 00:01:10,080
+secreted form of antibody ال membrane bound غالبا
+
+13
+00:01:10,080 --> 00:01:14,760
+associated with يعني cognate molecule الهيتيرو
+
+14
+00:01:14,760 --> 00:01:17,620
+دايمر موليكول بيسموه ال amino globulin alpha beta
+
+15
+00:01:17,620 --> 00:01:28,840
+وهذا هو مع ال antibody يشكل بيس الرسبتور دول ال
+
+16
+00:01:28,840 --> 00:01:32,480
+amino globulin alpha betaهو الـ Intracellular
+
+17
+00:01:32,480 --> 00:01:37,000
+Signaling Mechanism associated with B lymphocytes
+
+18
+00:01:37,000 --> 00:01:41,720
+الـ Antibody كنا بنعرف أنه له Specificity وهي له
+
+19
+00:01:41,720 --> 00:01:46,920
+biological activity biological activity بتتمثل
+
+20
+00:01:46,920 --> 00:01:52,400
+بالآتي أنه it can neutralize the toxin immobilize
+
+21
+00:01:52,400 --> 00:01:56,260
+the microorganism neutralization of viral
+
+22
+00:01:56,260 --> 00:02:00,860
+infectivity agglutination of microorganism
+
+23
+00:02:01,870 --> 00:02:05,350
+recipitation of soluble antigens هذه كلها طبعا
+
+24
+00:02:05,350 --> 00:02:10,710
+الوظائف المفهومة activation of serum complement
+
+25
+00:02:10,710 --> 00:02:15,890
+لأنه بينشط ال complement to facilitate lysis of
+
+26
+00:02:15,890 --> 00:02:20,070
+microorganism حصلتها lysis of microorganism
+
+27
+00:02:20,070 --> 00:02:23,630
+ability to cross the placenta في بعضها بيعمل
+
+28
+00:02:23,630 --> 00:02:27,970
+crossing لل placenta و from mother to the fetus
+
+29
+00:02:30,790 --> 00:02:33,730
+الاختلاف في الـ biological activity وفي الـ
+
+30
+00:02:33,730 --> 00:02:38,410
+antibody هي
+
+31
+00:02:38,410 --> 00:02:43,590
+اللي بتساهم او بتشكلنا ال isotypic class structure
+
+32
+00:02:43,590 --> 00:02:52,250
+isotypic class structure و ال antibody molecule ما
+
+33
+00:02:52,250 --> 00:02:56,250
+بيتركز في الجامعة global infraction اللي لو عملنا
+
+34
+00:02:56,250 --> 00:03:04,420
+protein electrophoresis هنلاقيإنه أدوى ال
+
+35
+00:03:04,420 --> 00:03:08,780
+Electrophoresis اللى بيتمثل بالقاتى هذا طبعا
+
+36
+00:03:08,780 --> 00:03:13,820
+abnormal protein Electrophoresis ل myeloma patient
+
+37
+00:03:13,820 --> 00:03:18,300
+لكن عشان نعرف بس الأوضاع هذا ال album انه في كمان
+
+38
+00:03:18,300 --> 00:03:27,300
+واحدة هنا pre album spike ثم Alpha Globulin و
+
+39
+00:03:27,300 --> 00:03:33,150
+Alpha 2 Globulinبيتا جلوبيلين و جاما جلوبيلين في
+
+40
+00:03:33,150 --> 00:03:38,350
+الجاما جلوبيلين هو اللي موجود بيشكلنا ال antibody
+
+41
+00:03:38,350 --> 00:03:41,370
+ال
+
+42
+00:03:41,370 --> 00:03:47,990
+structure mainly زي ما انتوا شايفين بيمر
+
+43
+00:03:47,990 --> 00:03:57,130
+في مرحلتين مرحلة ال pre B cell receptor يعني ال
+
+44
+00:03:57,130 --> 00:04:04,490
+precursor يعني الجبل ما يتكون ال PCR و ال PCR طبعا
+
+45
+00:04:04,490 --> 00:04:10,710
+في ال Pre-B هو اللى غالبا بتكون ال ال ال Hevet
+
+46
+00:04:10,710 --> 00:04:17,890
+Chain هي عمرها ال Mu Chain و ال بعد هيك ال Hevet
+
+47
+00:04:17,890 --> 00:04:23,150
+Chain ممكن تتبدل و تصير Mu او Delta او Gamma او
+
+48
+00:04:23,150 --> 00:04:29,270
+Alpha او Y في حالة ال PCR و Structurallyطبعا في
+
+49
+00:04:29,270 --> 00:04:33,190
+مصطلح ان شاء الله هنتطلق اليه قدام اللي هو ال
+
+50
+00:04:33,190 --> 00:04:37,810
+immunoreceptor tyrosine based activation motif
+
+51
+00:04:37,810 --> 00:04:43,610
+اللي ان شاء الله هنتطلق اليه زي ما انتوا شايفين ال
+
+52
+00:04:43,610 --> 00:04:51,490
+structure ده في ال pre-b ده هو بيتكوين من lighted
+
+53
+00:04:51,490 --> 00:04:54,610
+chain و من heavy chain connected to each other by
+
+54
+00:04:54,610 --> 00:04:59,500
+disulfide bondو Lighted Chain ممكنة على سبيل
+
+55
+00:04:59,500 --> 00:05:03,080
+المثال انها نوع Delta لان سنشاهد انها ممكن تكون
+
+56
+00:05:03,080 --> 00:05:06,540
+كعبة او Delta وLeft Chain هذا زي ما انتوا شايفين
+
+57
+00:05:06,540 --> 00:05:13,200
+هي عبارة عن Mu Chain جنب ال structure هذا و هدف
+
+58
+00:05:13,200 --> 00:05:16,560
+الفيجر هذا انه نورجكوا ال Immunoglobulin Alpha
+
+59
+00:05:16,560 --> 00:05:21,140
+Immunoglobulin Beta موليكيول هذا هو جنبه و هذا هو
+
+60
+00:05:21,140 --> 00:05:26,200
+مغروز في داخل انه IntracytoplasmicDomain أو
+
+61
+00:05:26,200 --> 00:05:33,640
+Membrane أو Domain و هذا الـ Intracytoplasmic
+
+62
+00:05:33,640 --> 00:05:37,640
+portion هو المسؤول عن Cell Signaling الموليكيوم
+
+63
+00:05:37,640 --> 00:05:41,420
+طبعا كما تشوفون دونا في عندنا Antigen Binding
+
+64
+00:05:41,420 --> 00:05:45,420
+وعندنا هنيجي على Structure بشيء من التفصيل
+
+65
+00:05:45,420 --> 00:05:48,840
+Structure
+
+66
+00:05:48,840 --> 00:05:54,790
+of light and heavy chain ده همطبعا ال structure of
+
+67
+00:05:54,790 --> 00:05:59,570
+light او ال heavy chain هذي light chain وهذه heavy
+
+68
+00:05:59,570 --> 00:06:02,770
+chain connected to each other by disulfide bond هي
+
+69
+00:06:02,770 --> 00:06:06,830
+disulfide bond شوان كانت ال light مع ال heavy او
+
+70
+00:06:06,830 --> 00:06:10,670
+ال heavy مع ال heavy في disulfide bond موجودة كيف
+
+71
+00:06:10,670 --> 00:06:17,370
+تعرف عن ال structure ofبالتالي استخدموا تقاطع
+
+72
+00:06:17,370 --> 00:06:23,590
+الموليكيول الانتيبادي مقاوم للبروتيولايزيز
+
+73
+00:06:25,020 --> 00:06:29,180
+بإمكانية تقطيعه بواسطة two enzymes واحد اسمه
+
+74
+00:06:29,180 --> 00:06:32,900
+papine واحد اسمه pepsin ال papine بيقطع ال
+
+75
+00:06:32,900 --> 00:06:38,720
+antibody لتلت أجزاء توفى ب fragment واحدة FC بينما
+
+76
+00:06:38,720 --> 00:06:44,320
+ال pepsin زي ما انتوا شايفين بيقطع ال fragment ال
+
+77
+00:06:44,320 --> 00:06:48,200
+antibody immunoglobul لتثقين جزء كبير اللي هو
+
+78
+00:06:48,200 --> 00:06:56,910
+عبارة عنتوفب مع بعض و Fc prime بيسموها او Fc sub
+
+79
+00:06:56,910 --> 00:07:03,690
+fragment كمية قليلة من ال Fc portion structure
+
+80
+00:07:03,690 --> 00:07:10,470
+هذا بشكل عام لان هنجد ان شاء الله لفة فصيلته هي ال
+
+81
+00:07:10,470 --> 00:07:13,370
+heavy chain اربعة polypeptide لتكون اربعة
+
+82
+00:07:13,370 --> 00:07:20,450
+polypeptide chain تنتين heavy هذا همو تنتين light
+
+83
+00:07:20,450 --> 00:07:25,090
+هدى light و هدى light they are connected to each
+
+84
+00:07:25,090 --> 00:07:29,550
+other by what؟ by disulfide bond فى انها نوعين من
+
+85
+00:07:29,550 --> 00:07:34,390
+ال disulfide فى انترا disulfide bond و ده هي زى ما
+
+86
+00:07:34,390 --> 00:07:40,090
+انتوا شايفين و فى انتر disulfide bond اللى بتتربط
+
+87
+00:07:40,090 --> 00:07:45,790
+ال two of eachين مع بعض ال
+
+88
+00:07:47,790 --> 00:07:50,750
+Properties of the chain الـ Light تتكوّن من الـ
+
+89
+00:07:50,750 --> 00:07:57,970
+two domains VL وCL Light برمجولها بقى Light ال
+
+90
+00:07:57,970 --> 00:08:01,930
+Light برمجولها بقى L وهي تتكوّن من ال two domains
+
+91
+00:08:01,930 --> 00:08:06,590
+واحد variable واحد constant بينما ال Heavy تتكوّن
+
+92
+00:08:06,590 --> 00:08:13,170
+من اكتر من domain واحد منهم variable بيسموه VH
+
+93
+00:08:13,630 --> 00:08:19,430
+والباقي constant ففي عندنا CH واحد و CH اتنين و CH
+
+94
+00:08:19,430 --> 00:08:29,270
+تلاتة عند ال .. ال .. ال heavy chain are
+
+95
+00:08:29,270 --> 00:08:40,310
+connected يعني by region بيسموها hinge region و ان
+
+96
+00:08:40,310 --> 00:08:44,080
+شاء الله هنتطلق لوظيفتها الآناللي اريد ان تشاهدوا
+
+97
+00:08:44,080 --> 00:08:49,080
+الان ان ال VH والLH يكونوا الانتجرين بايندرينج
+
+98
+00:08:49,080 --> 00:08:55,080
+سايس والباقي يكون ال Fc بورشين في ال biological
+
+99
+00:08:55,080 --> 00:08:56,060
+activity
+
+100
+00:09:01,850 --> 00:09:06,650
+ماشي اتفقنا ان ال بيابين ده هو قسمه الى two FAB
+
+101
+00:09:06,650 --> 00:09:13,250
+FAB زائد FAB زائد FC و ال FAB fragment كان بياند
+
+102
+00:09:13,250 --> 00:09:19,770
+انتجين عادي جدا لكنها مابتعمل precipitation لأنها
+
+103
+00:09:19,770 --> 00:09:25,110
+univalent ماشي و ال FC portion اتفقنا انها هي
+
+104
+00:09:25,110 --> 00:09:30,070
+المسؤولة عن ال biological activity لو عملنا ال
+
+105
+00:09:30,070 --> 00:09:35,770
+antibodyبالـ mercaptoethanol الـ mercaptoethanol
+
+106
+00:09:35,770 --> 00:09:43,010
+هيقطع الاساس bond ويدينا four chain زي ما اتفقنا
+
+107
+00:09:43,010 --> 00:09:48,730
+two light و two heavy ال antibody بيتكون من أربع
+
+108
+00:09:48,730 --> 00:09:52,870
+polyp بتاعي two light و two heavy و طبعا they are
+
+109
+00:09:52,870 --> 00:09:56,650
+linked to each other by disulfide bond اللي كمان
+
+110
+00:09:56,650 --> 00:10:00,710
+قلنا ان ال pepsin digest the M-unoglobulin
+
+111
+00:10:03,940 --> 00:10:10,060
+والمحصلة Divalent Fragment اسمها FAB الكل 2 تتكوّن
+
+112
+00:10:10,060 --> 00:10:14,660
+من Two Fabregion مرتبطين مع بعض By Disulfide Bond
+
+113
+00:10:14,660 --> 00:10:20,240
+in addition to the Fc Subfragment اللي هي عبارة عن
+
+114
+00:10:20,240 --> 00:10:25,440
+أقل من Fragment وطبعا برمجولها في بعض الكتب بالـ
+
+115
+00:10:25,440 --> 00:10:30,140
+Fc Prime Other molecule belonging to the
+
+116
+00:10:30,140 --> 00:10:31,820
+immunoglobulin superfamily
+
+117
+00:10:35,070 --> 00:10:38,790
+Sharing with the immunoglobulin structure واحنا
+
+118
+00:10:38,790 --> 00:10:44,390
+هتترق ان شاء الله عاديهم ال lighted chain غالبا
+
+119
+00:10:44,390 --> 00:10:49,830
+بتكون يا اما كابا يا اما lambda وحسب ال structure
+
+120
+00:10:49,830 --> 00:10:53,610
+of heavy chain يعني ال heavy chain هي مسئولة عن
+
+121
+00:10:53,610 --> 00:10:58,290
+تكوين الisotypes او ال classes of immunoglobulin
+
+122
+00:10:59,690 --> 00:11:08,550
+ونجد ان الهيوتشين تختلف من واحد لتاني باختلاف
+
+123
+00:11:08,550 --> 00:11:13,510
+الانتجين وتحتوي على مواصلة الكربوهيدرات ومركزها
+
+124
+00:11:13,510 --> 00:11:19,250
+بشكل عام كربوهيدرات في منطقة الهيوتشين وتختلف أيضا
+
+125
+00:11:19,250 --> 00:11:28,810
+في صميمها ما بينها وايضا هناك اختلافاتIn
+
+126
+00:11:28,810 --> 00:11:36,590
+biological function on each isotype لإن اي one
+
+127
+00:11:36,590 --> 00:11:43,210
+antibody molecule في عندنا الهيلوجين which are
+
+128
+00:11:43,210 --> 00:11:48,210
+identical فعلى سبيل المثال في ال immunoglobulin
+
+129
+00:11:48,210 --> 00:11:55,230
+class في عندنا ال structure بيكون Kappa 2 Gamma 2
+
+130
+00:11:55,230 --> 00:12:01,510
+وLambda 2 Gamma 2TWO IDENTICAL LIGHTED CHAIN AND
+
+131
+00:12:01,510 --> 00:12:06,290
+TWO IDENTICAL HEAVY CHAIN بعض الـ Immunoglobulin
+
+132
+00:12:06,290 --> 00:12:11,670
+subclasses زي ال IGG الو subclasses
+
+133
+00:12:11,670 --> 00:12:18,330
+و IGG الو أربع subclasses سموهم immunoglobulin 1
+
+134
+00:12:18,330 --> 00:12:25,430
+IGG 1 و 2 و 3 و 4 أيضا ال immunoglobulin A الو two
+
+135
+00:12:25,430 --> 00:12:31,540
+subclasses IGA و IG2بعض المدارس التي تختلف عن
+
+136
+00:12:31,540 --> 00:12:38,380
+المدارس هي انها تختلف في رقمها ومجموعة الـ Inter
+
+137
+00:12:38,380 --> 00:12:43,180
+-Chain Disulfide Bond وبعض الإختلافات في الـ
+
+138
+00:12:43,180 --> 00:12:49,500
+Structure الـ Light Chain بتحتوي على 2 Domain
+
+139
+00:12:49,500 --> 00:12:53,040
+Globular Domain وLeft Chain بتحتوي على 4 أو 5
+
+140
+00:12:53,040 --> 00:12:54,260
+Domain
+
+141
+00:13:00,310 --> 00:13:05,190
+هيبتشين يتوحك عليها من خلال قطع قطع قطع قطع قطع
+
+142
+00:13:05,190 --> 00:13:05,670
+قطع قطع قطع قطع قطع قطع قطع قطع قطع قطع قطع قطع
+
+143
+00:13:05,670 --> 00:13:06,350
+قطع قطع قطع قطع قطع قطع قطع قطع قطع قطع قطع قطع
+
+144
+00:13:06,350 --> 00:13:06,810
+قطع قطع قطع قطع قطع قطع قطع قطع قطع قطع قطع قطع
+
+145
+00:13:06,810 --> 00:13:07,090
+قطع قطع قطع قطع قطع قطع قطع قطع قطع قطع قطع قطع
+
+146
+00:13:07,090 --> 00:13:08,110
+قطع قطع قطع قطع قطع قطع قطع قطع قطع قطع قطع قطع
+
+147
+00:13:08,110 --> 00:13:08,110
+قطع قطع قطع قطع
+
+148
+00:13:21,380 --> 00:13:24,980
+اللي هو domain في الـ heavy وفي ال light is highly
+
+149
+00:13:24,980 --> 00:13:29,820
+variable في تركيبته من ناحية amino acid sequence
+
+150
+00:13:29,820 --> 00:13:35,940
+وبيختلف from one antibody to the next وبيرمزولهم
+
+151
+00:13:35,940 --> 00:13:43,500
+VL يعني variable light or VH يعني variable heavy
+
+152
+00:13:43,500 --> 00:13:50,120
+the second and subsequent domainفي الـ Heavy وفي
+
+153
+00:13:50,120 --> 00:13:55,260
+الـ Light Chain هما مستمرين برمز
+
+154
+00:13:55,260 --> 00:13:58,920
+CLCH1 و CH1 و CH1 و CH1 و CH1 و CH1 و CH1 و CH1 و
+
+155
+00:13:58,920 --> 00:14:04,320
+CH1 و CH1 و CH1 و CH1 و CH1 و CH1 و CH1 و CH1 و
+
+156
+00:14:04,320 --> 00:14:06,500
+CH1 و CH1 و CH1 و CH1 و CH1 و CH1 و CH1 و CH1 و
+
+157
+00:14:06,500 --> 00:14:06,500
+CH1 و CH1 و CH1 و CH1 و CH1 و CH1 و CH1 و CH1 و
+
+158
+00:14:06,500 --> 00:14:06,500
+CH1 و CH1 و CH1 و CH1 و CH1 و CH1 و CH1 و CH1 و
+
+159
+00:14:06,500 --> 00:14:06,500
+CH1 و CH1 و CH1 و CH1 و CH1 و CH1 و CH1 و CH1 و
+
+160
+00:14:06,500 --> 00:14:06,500
+CH1 و CH1 و CH1 و CH1 و CH1 و CH1 و CH1 و CH1 و
+
+161
+00:14:06,500 --> 00:14:07,700
+CH1 و CH1 و CH1 و CH1 و CH1 و CH1 و CH1 و CH1 و
+
+162
+00:14:07,700 --> 00:14:18,670
+CH1 و CH1 و CH1 وby hydrophobic interaction as
+
+163
+00:14:18,670 --> 00:14:26,850
+follows فبنلاحظ انه في عندنا VH LH يعني V heavy مع
+
+164
+00:14:26,850 --> 00:14:33,650
+light heavy و CH واحد مع ال constant تبع ال light
+
+165
+00:14:33,650 --> 00:14:37,170
+ثم بتبدأ ال constant بتاعة ال heavy بترتبط مع بعض
+
+166
+00:14:37,170 --> 00:14:42,390
+constant V2 مع constant V2 و constant V3 مع
+
+167
+00:14:42,390 --> 00:14:44,290
+constant V3
+
+168
+00:14:48,990 --> 00:14:52,530
+الـ Hedge region زي ما اتفقنا هي عبارة عن نطقة
+
+169
+00:14:52,530 --> 00:14:57,610
+unfolded بسموها region composed of short segments
+
+170
+00:14:57,610 --> 00:15:04,690
+of amino acids غالبا هي التي تفصل ما بين CH1 و CH2
+
+171
+00:15:04,690 --> 00:15:12,850
+region ومليانة بال cysteine and bromine residue و
+
+172
+00:15:12,850 --> 00:15:16,170
+ال cysteine هو المسئول عن ال formation of
+
+173
+00:15:16,170 --> 00:15:22,630
+interchain disulfide bondوالبرولين ريزيجيو بيمنع
+
+174
+00:15:22,630 --> 00:15:32,530
+اللي هو الاتفاف ال structure of heavy chain in
+
+175
+00:15:32,530 --> 00:15:39,030
+globular form بيبقى الموجود بنفس النمط ايضا من
+
+176
+00:15:39,030 --> 00:15:46,270
+صفاتها انها بتكسب ال antibody flexibility وخصوصا
+
+177
+00:15:47,060 --> 00:15:50,740
+في الـ Fab region فبالتالي بتتحرك freely ال Fab
+
+178
+00:15:50,740 --> 00:15:55,900
+region in the Y-shape وهذا بيمكنها بيمكن الطوفة
+
+179
+00:15:55,900 --> 00:16:04,300
+انهم يفتحوا و يسكروا ليتكيفوا حسب الارتباط مع two
+
+180
+00:16:04,300 --> 00:16:10,500
+Epitopes موجودين على سطح Antigen ان كانوا بعد ال
+
+181
+00:16:10,500 --> 00:16:16,210
+two Epitopes او اجراب الالـ Fabregion بتفتح و
+
+182
+00:16:16,210 --> 00:16:21,930
+بتسكر عشان تمسكلي في هدول التنتين Variable Region
+
+183
+00:16:21,930 --> 00:16:25,050
+حالة
+
+184
+00:16:25,050 --> 00:16:26,870
+بدنا نحكي عن ال Variable Region في الـ left and
+
+185
+00:16:26,870 --> 00:16:31,830
+left chain جاله بتتكامن من 110 amino acids و
+
+186
+00:16:31,830 --> 00:16:36,690
+بتحتوي على three regions بيسموهم Hypervariable
+
+187
+00:16:36,690 --> 00:16:42,070
+Region و ال Hypervariable Region هي المسئولة عن ال
+
+188
+00:16:42,070 --> 00:16:43,030
+antigen binding
+
+189
+00:16:45,950 --> 00:16:50,630
+بتكون حاجة بيسموها complementary structure to the
+
+190
+00:16:50,630 --> 00:16:55,210
+antigen epitope يعني مكمل ما احنا عارفين ان ال
+
+191
+00:16:55,210 --> 00:16:58,210
+antigen antibody reaction هو برعنة K-unlocked
+
+192
+00:16:58,210 --> 00:17:02,350
+theory يبقى واحد بده يكون ضبا والتاني مفتاح ففيه
+
+193
+00:17:02,350 --> 00:17:06,530
+complementary structure لازم يتكون عشان واحد يرتبط
+
+194
+00:17:06,530 --> 00:17:11,010
+في التاني these hypervariable regions are termed
+
+195
+00:17:11,010 --> 00:17:15,710
+complementary determining regionsو برمزولهم CDR1 و
+
+196
+00:17:15,710 --> 00:17:22,710
+CDR2 و CDR3 و الـ two-dimensional model of the
+
+197
+00:17:22,710 --> 00:17:28,310
+peptide chain are brought together in the folded
+
+198
+00:17:28,310 --> 00:17:33,310
+form of the intact antibody molecule التنين مع
+
+199
+00:17:33,310 --> 00:17:36,590
+بعيد بيكونوا ال binding sites اللي احنا بنحكي
+
+200
+00:17:36,590 --> 00:17:40,050
+عليها which is complementary تلعبتهليس two
+
+201
+00:17:40,050 --> 00:17:42,750
+-dimensional يعني واحدة من الـ heavy واحدة من ال
+
+202
+00:17:42,750 --> 00:17:47,670
+light التنتين مع بعض بكونه اللي هو folded together
+
+203
+00:17:47,670 --> 00:17:53,970
+to form the complementary portion of to the EBITO
+
+204
+00:17:53,970 --> 00:17:57,390
+variability
+
+205
+00:17:57,390 --> 00:18:02,330
+of these CDR provide diversity هي اللي بتوصف بت ..
+
+206
+00:18:02,330 --> 00:18:08,020
+بت .. بتأكد ان او بت ..بتبين لنا أو بتكون لنا
+
+207
+00:18:08,020 --> 00:18:13,320
+الاختلافات المختلفة في الشكل between antibody
+
+208
+00:18:13,320 --> 00:18:21,100
+والاختلافات هذه مطلوبة عشان ترتبط بمختلف أنواع ال
+
+209
+00:18:21,100 --> 00:18:25,380
+antigen اللي موجودة وبالتالي هي من تشكل
+
+210
+00:18:25,380 --> 00:18:30,740
+specificity of antibody لكلهم
+
+211
+00:18:31,300 --> 00:18:34,860
+كل الروابط ليوم يرتبط الـ Antigen مع الـ Antibody
+
+212
+00:18:34,860 --> 00:18:38,920
+تفقنا على أنه في روابط هتصير واحدة بتكمل التانية
+
+213
+00:18:38,920 --> 00:18:42,360
+لكن هذه الروابط هي عبارة عن weak لأنها كلها non
+
+214
+00:18:42,360 --> 00:18:47,900
+-covalent interaction وهذه
+
+215
+00:18:47,900 --> 00:18:51,900
+من القاعدة المهمة النقطة هذه اللي جاية انه من
+
+216
+00:18:51,900 --> 00:18:56,090
+الممكن انه two antibodyمع الـ two different يعني
+
+217
+00:18:56,090 --> 00:18:59,610
+لهم two different Anti-Amino Acid Sequence يكونوا
+
+218
+00:18:59,610 --> 00:19:03,830
+specific to the same Epitope طب شو اللي بيصير في
+
+219
+00:19:03,830 --> 00:19:08,070
+هذه الحالة؟ جالوا مرتبطوا بنفس الـ Antigen لكن ال
+
+220
+00:19:08,070 --> 00:19:12,010
+affinity of binding تختلف بينهم ال affinity of
+
+221
+00:19:12,010 --> 00:19:21,070
+binding تختلف بينهم كمان
+
+222
+00:19:21,070 --> 00:19:26,590
+قاعدة زي ما انتوا شايفينهي antibody واحد هو نفسه
+
+223
+00:19:26,590 --> 00:19:29,590
+ال antibody واحد بيرتبط ب antigen واحد و antigen
+
+224
+00:19:29,590 --> 00:19:37,290
+اتنين ماشي و طبعا هذا زي ما قلنا الارتباط ممكن
+
+225
+00:19:37,290 --> 00:19:46,170
+يكون في sharing of anti of ابتوب لكن ال affinity
+
+226
+00:19:46,170 --> 00:19:47,610
+of binding is different
+
+227
+00:19:52,180 --> 00:19:56,640
+الـ CDR 1 و 2 و 3 اللي هو أخذ جزء من .. عملونا
+
+228
+00:19:56,640 --> 00:20:04,440
+تحليل بالـ HPLC و وجدوا انه ال .. كل ما طلعنا لبرا
+
+229
+00:20:04,440 --> 00:20:09,420
+بال FAB في منطقة الـ FAB region كل ما اتزادت ال
+
+230
+00:20:09,420 --> 00:20:13,450
+hyper variabilityكل ما زادت ال variability of the
+
+231
+00:20:13,450 --> 00:20:17,270
+molecule ف CDR3 ال variability فيها اكتر حاجة
+
+232
+00:20:17,270 --> 00:20:23,410
+بيليها اتنين اقلها واحد اقلها واحد عشان ايه كل ما
+
+233
+00:20:23,410 --> 00:20:30,790
+طلعنا لبرا كل ما زادت ال specificity of the
+
+234
+00:20:30,790 --> 00:20:35,390
+molecule cross
+
+235
+00:20:35,390 --> 00:20:37,830
+reacting compound share antigenic determinant
+
+236
+00:20:37,830 --> 00:20:42,820
+طبيعي جدا لازم يكون فيإذا صار فيه cross reaction
+
+237
+00:20:42,820 --> 00:20:48,480
+معناته في sharing في ال Epitopes ماشي some cross
+
+238
+00:20:48,480 --> 00:20:53,720
+reacting substances are unrelated to each other
+
+239
+00:20:53,720 --> 00:21:01,200
+إلا إنه بعض المرات بيكون فيه اشتراك في one or more
+
+240
+00:21:01,200 --> 00:21:06,960
+Epitopes in common المواد
+
+241
+00:21:09,210 --> 00:21:17,290
+اللي لا تشترك طبعا بيسموها في هذه الحالة ال
+
+242
+00:21:17,290 --> 00:21:24,290
+heterophilic antigen heterophil
+
+243
+00:21:24,290 --> 00:21:27,610
+لإنها جاية من two different species يعني على سبيل
+
+244
+00:21:27,610 --> 00:21:31,250
+المثال human blood group antigen بتتفاعل مع
+
+245
+00:21:31,250 --> 00:21:35,070
+antibody ل E.coli يعني يوم يصاب الإنسان بال E.coli
+
+246
+00:21:35,510 --> 00:21:42,190
+انفكشن ويكون الجسم انتيبادي هذه الانتيبادي تتفاعل
+
+247
+00:21:42,190 --> 00:21:46,570
+مع blood group بيه انتجن ماشي في هذه الحالة
+
+248
+00:21:46,570 --> 00:21:52,810
+الانتجن of both E.coli and بيه blood group انتجن
+
+249
+00:21:52,810 --> 00:21:58,370
+are فيه similarity ماشي فيه sharing للAB2
+
+250
+00:22:00,170 --> 00:22:01,970
+وبالتالي اللهم صلى الله عليه و سلم و محمد اللهم
+
+251
+00:22:01,970 --> 00:22:02,150
+صلى الله عليه و سلم و محمد اللهم صلى الله عليه و
+
+252
+00:22:02,150 --> 00:22:03,950
+سلم و محمد اللهم صلى الله عليه و سلم و محمد اللهم
+
+253
+00:22:03,950 --> 00:22:04,550
+صلى الله عليه و سلم و محمد اللهم صلى الله عليه و
+
+254
+00:22:04,550 --> 00:22:06,470
+سلم و محمد اللهم صلى الله عليه و سلم و محمد اللهم
+
+255
+00:22:06,470 --> 00:22:08,090
+صلى الله عليه و سلم و محمد اللهم صلى الله عليه و
+
+256
+00:22:08,090 --> 00:22:10,590
+سلم و محمد اللهم صلى الله عليه و سلم و محمد اللهم
+
+257
+00:22:10,590 --> 00:22:10,590
+صلى الله عليه و سلم و محمد اللهم صلى الله عليه و
+
+258
+00:22:10,590 --> 00:22:11,070
+سلم و محمد اللهم صلى الله عليه و سلم و محمد اللهم
+
+259
+00:22:11,070 --> 00:22:15,950
+صلى الله عليه و سلم و محمد اللهم صلى الله عليه و
+
+260
+00:22:15,950 --> 00:22:22,370
+سلم و
+
+261
+00:22:22,370 --> 00:22:27,870
+محمد اللهم
+
+262
+00:22:27,870 --> 00:22:34,510
+صلىأيضاً نعرف أن هناك الاختلافات الجنية بين
+
+263
+00:22:34,510 --> 00:22:40,450
+الاندفيدوال بين الاندفيدوال يعني ال isotypes هي
+
+264
+00:22:40,450 --> 00:22:43,030
+عبارة عن الاختلافات الموجودة في داخل الإنسان
+
+265
+00:22:43,030 --> 00:22:46,670
+الallotypes هي الاختلافات الموجودة between
+
+266
+00:22:46,670 --> 00:22:51,590
+individuals of the same species يعني أن هناك
+
+267
+00:22:51,590 --> 00:22:58,250
+اختلافات بين الاندفيدوال اللي موجودة بينهمليش؟ لأن
+
+268
+00:22:58,250 --> 00:23:02,370
+الجينات اللي موجودة في كل واحد مختلفة عن الجينات
+
+269
+00:23:02,370 --> 00:23:06,790
+التانية. These are called Allotypic Variations.
+
+270
+00:23:07,790 --> 00:23:12,310
+طبعا ال Allotypic Differences at long loss usually
+
+271
+00:23:12,310 --> 00:23:16,390
+involve changes in one or two amino acids in
+
+272
+00:23:16,390 --> 00:23:20,210
+constant region.اختلافات غالبا بتكون اختلافات في
+
+273
+00:23:20,210 --> 00:23:27,130
+ال constant region تبعت ال antibody.Anatopic bind
+
+274
+00:23:27,130 --> 00:23:32,670
+the same antigen in similar way او ارتبته و ال
+
+275
+00:23:32,670 --> 00:23:35,770
+markers طبعا زى ما قلنا فيه اختلافات في الجين و
+
+276
+00:23:35,770 --> 00:23:39,310
+السبب ليش لإنه الجين بيكون بين ال polymorph فبيكون
+
+277
+00:23:39,310 --> 00:23:42,750
+فيه different قليل وبالتالي القليل تديني ايش
+
+278
+00:23:42,750 --> 00:23:46,430
+different structure لكن الاختلافات بتكون بسيطة
+
+279
+00:23:46,430 --> 00:23:51,050
+marker ل ال antibody وجدوا انه فيه في الجعمة chain
+
+280
+00:23:51,050 --> 00:23:57,460
+اللى بتدين امينoglobulin G في GMو في KM في الـ
+
+281
+00:23:57,460 --> 00:24:02,420
+Kappa Chain و في AM في الـ Alpha Chain عشان هيك في
+
+282
+00:24:02,420 --> 00:24:08,940
+عندها ساوي Classes في الـ G و الـ A Classes
+
+283
+00:24:08,940 --> 00:24:15,620
+Urban Ideas are inherited in Mendelian traits الـ
+
+284
+00:24:15,620 --> 00:24:19,780
+Idiotypes بتمثل
+
+285
+00:24:19,780 --> 00:24:24,500
+الاختلافات في الـ VL في الفبريريم و الـ VH
+
+286
+00:24:27,370 --> 00:24:33,830
+و هدولة إذا كان طبعا نقلناهم
+
+287
+00:24:33,830 --> 00:24:41,650
+من إنسان إلى إنسان يعتبروا immunogenic و يكونوا
+
+288
+00:24:41,650 --> 00:24:48,550
+immune response طبعا الاختلافات هذه موجودة between
+
+289
+00:24:48,550 --> 00:24:54,450
+different individuals of the same speciesعشان هيك
+
+290
+00:24:54,450 --> 00:24:58,410
+هذه الظاهرة ممكن يستخدموها by using anti-idiotypic
+
+291
+00:24:58,410 --> 00:25:05,830
+structure وهذا ممنع على طول ال antigen يعني اتباط
+
+292
+00:25:05,830 --> 00:25:07,030
+ال antibody بال antigen
+
+293
+00:25:11,120 --> 00:25:16,220
+هذه الاختلافات لـ Detopic determinants اللي موجودة
+
+294
+00:25:16,220 --> 00:25:20,420
+في الـ immunoglobulin ممكن يكون الأساس في التحكم
+
+295
+00:25:20,420 --> 00:25:25,700
+بال immune response modulation وهي ال structure
+
+296
+00:25:25,700 --> 00:25:31,680
+تلاتةأي في انا isotypes اختلاف كله اي اختلفت في
+
+297
+00:25:31,680 --> 00:25:37,320
+ايه؟ في ال constant region وبالتالي داني different
+
+298
+00:25:37,320 --> 00:25:43,200
+class يعني هنا في انا IGG ال constant عنده مفروض
+
+299
+00:25:43,200 --> 00:25:47,180
+انها جامعة مختلفة تماما عن ال IGA المفروض انها
+
+300
+00:25:47,180 --> 00:25:55,100
+Alpha ال Allotype في شوية اختلافات موجودة في ال
+
+301
+00:25:55,100 --> 00:25:55,880
+constant region
+
+302
+00:25:58,940 --> 00:26:04,540
+الثانية زي بعض الـ Minoglobulin GA لكن الـ
+
+303
+00:26:04,540 --> 00:26:07,320
+constant region فيها اختلافات في الاشياء وهذه
+
+304
+00:26:07,320 --> 00:26:12,540
+الاختلافات لا ترجعنياش عن وجود الاليليك forms في
+
+305
+00:26:12,540 --> 00:26:17,960
+الجين نفسه بتدينا different form of Minoglobulin
+
+306
+00:26:17,960 --> 00:26:22,340
+الاديو تاعي بالاختلاف وين؟ هذا هو في ال Fab region
+
+307
+00:26:23,460 --> 00:26:26,360
+الاختلاف بين الـ IgG وبالتالي فى عندنا different
+
+308
+00:26:26,360 --> 00:26:31,000
+specific specificity لكن زى ما قلنا لكوا انه هذا
+
+309
+00:26:31,000 --> 00:26:35,000
+لو انتقل من سن لإنسان it will be considered
+
+310
+00:26:35,000 --> 00:26:41,240
+immunogenic immunoglobulin
+
+311
+00:26:41,240 --> 00:26:45,900
+G هو اللى بنيه dominant immunoglobulin فى blood فى
+
+312
+00:26:45,900 --> 00:26:47,720
+lymph node فى lymph
+
+313
+00:26:50,550 --> 00:26:54,970
+الـ fluid و في الـ CSF البريتونيال الـ fluid يعني
+
+314
+00:26:54,970 --> 00:26:59,630
+الموجود في different types of fluid في الجسم و
+
+315
+00:26:59,630 --> 00:27:02,190
+غالبا it's distributed equally between
+
+316
+00:27:02,190 --> 00:27:05,670
+intravascular and extravascular يعني اللي في جوا و
+
+317
+00:27:05,670 --> 00:27:11,130
+برا تقريبا نفس الحاجة بيتكوّن من two gamma wave
+
+318
+00:27:11,130 --> 00:27:18,170
+chain و two lighted chain إلا إما كابا و إما
+
+319
+00:27:18,170 --> 00:27:21,990
+لامبداوقلنا في عندنا four sub classes لل
+
+320
+00:27:21,990 --> 00:27:27,470
+immunoglobulin G في واحد واثنين وتلاتة واربع واحد
+
+321
+00:27:27,470 --> 00:27:35,150
+هو اكثرهم تركيزا و IGG sub classes بتختلف بين بعض
+
+322
+00:27:35,150 --> 00:27:40,050
+بال chemical و biological properties فبنلاقي انه
+
+323
+00:27:40,050 --> 00:27:45,170
+بشكل عام they can agglutinate or clump a
+
+324
+00:27:45,170 --> 00:27:47,050
+particulate يعني انتجن
+
+325
+00:27:49,560 --> 00:27:56,720
+الـ reaction
+
+326
+00:27:56,720 --> 00:28:08,260
+غالبا مع سوليوم الانتيجين بيعمل
+
+327
+00:28:08,260 --> 00:28:14,430
+precipitate إذا كان multi-valentالانسوليبال انتيجن
+
+328
+00:28:14,430 --> 00:28:20,730
+انتيجن انتيجن انتيجن انتيجن انتيجن انتيجن انتيجن
+
+329
+00:28:20,730 --> 00:28:24,870
+انتيجن
+
+330
+00:28:24,870 --> 00:28:25,470
+انتيجن انتيجن انتيجن انتيجن انتيجن انتيجن انتيجن
+
+331
+00:28:25,470 --> 00:28:25,810
+انتيجن انتيجن انتيجن انتيجن انتيجن انتيجن انتيجن
+
+332
+00:28:25,810 --> 00:28:26,690
+انتيجن انتيجن انتيجن انتيجن انتيجن انتيجن انتيجن
+
+333
+00:28:26,690 --> 00:28:27,570
+انتيجن انتيجن انتيجن انتيجن انتيجن انتيجن انتيجن
+
+334
+00:28:27,570 --> 00:28:28,650
+انتيجن انتيجن انتيجن انتيجن انتيجن انتيجن انتيجن
+
+335
+00:28:28,650 --> 00:28:31,050
+انتيجن انتيجن انتيجن انتيجن انتيجن انتيجن انتيجن
+
+336
+00:28:31,050 --> 00:28:40,590
+انتيجن انتيجن انتيجن
+
+337
+00:28:40,590 --> 00:28:47,090
+انإذا كان الـ Antibody Multivalent و الـ Insoluble
+
+338
+00:28:47,090 --> 00:28:52,850
+على طول فجوزة Excel بتخلصنا منه من صفات ال IGG
+
+339
+00:28:52,850 --> 00:28:56,770
+نهوط Cancrosta placenta و قالوا كلهم Cancrosta
+
+340
+00:28:56,770 --> 00:29:04,970
+placenta معادة IGG2 وهذا طبعا بشكل اللي هو
+
+341
+00:29:04,970 --> 00:29:08,190
+Transferring
+
+342
+00:29:08,190 --> 00:29:14,550
+immunity from mother to fetusالترانسفير البلاسنتل
+
+343
+00:29:14,550 --> 00:29:20,290
+يتم إعادته من وجود مصادر مصادر مصادر مصادر مصادر
+
+344
+00:29:20,290 --> 00:29:20,430
+مصادر مصادر مصادر مصادر مصادر مصادر مصادر مصادر
+
+345
+00:29:20,430 --> 00:29:23,450
+مصادر مصادر مصادر مصادر مصادر مصادر مصادر مصادر
+
+346
+00:29:23,450 --> 00:29:24,130
+مصادر مصادر مصادر مصادر مصادر مصادر مصادر مصادر
+
+347
+00:29:24,130 --> 00:29:25,150
+مصادر مصادر مصادر مصادر مصادر مصادر مصادر مصادر
+
+348
+00:29:25,150 --> 00:29:27,150
+مصادر مصادر مصادر مصادر مصادر مصادر مصادر مصادر
+
+349
+00:29:27,150 --> 00:29:35,270
+مصادر مصادر مصادر مصادر مصادر
+
+350
+00:29:35,270 --> 00:29:38,230
+مص
+
+351
+00:29:40,190 --> 00:29:48,290
+في الشهر التالت أو الرابع من الحمل فيه زيادة متردخ
+
+352
+00:29:48,290 --> 00:29:56,210
+في تركيز ال IGG اللي جاي من الأم عند ال baby شهر
+
+353
+00:29:56,210 --> 00:30:00,070
+الخامس من ال emergency ببدأ ال fetus to look after
+
+354
+00:30:00,070 --> 00:30:08,250
+himself وبالتالي ببدأ يكوّن IgM وشوية IgA
+
+355
+00:30:11,990 --> 00:30:15,830
+3 او 4 أشهر بعد الولادة بعد الولادة بتالتة اربع
+
+356
+00:30:15,830 --> 00:30:21,050
+شهور بيبدأ ال infants to synthesize its own IgG
+
+357
+00:30:21,050 --> 00:30:27,390
+ويتهادة طبعا بيكون مسحوق بقلة drop in the
+
+358
+00:30:27,390 --> 00:30:32,890
+concentration of maternal IgG absorption of
+
+359
+00:30:32,890 --> 00:30:38,750
+maternal IgG موجود في الclostrum الclostrum of
+
+360
+00:30:38,750 --> 00:30:44,870
+nursing mothers ماشيوطبعا اللي موجود في ال cluster
+
+361
+00:30:44,870 --> 00:30:52,130
+ممكن يرتبط بال FCRN Protection Receptor اللي موجود
+
+362
+00:30:52,130 --> 00:30:54,610
+على ال intestinal tissue of the neonate يعني
+
+363
+00:30:54,610 --> 00:31:01,270
+بيمتصوا ال baby الحليب اللي بياخده من الأم في IGG
+
+364
+00:31:01,270 --> 00:31:05,310
+لما يصل أمعاء ال baby أو ال neonate على طول
+
+365
+00:31:05,310 --> 00:31:09,670
+بيمتصوا من خلال وجود ال receptor FCRN اللي موجود
+
+366
+00:31:09,670 --> 00:31:16,550
+على ال intestinal tissueسفة أخرى من صفات ال IGG
+
+367
+00:31:16,550 --> 00:31:23,870
+وهي ال optionization وهذه مهمة جدا لتسهيل عملية ال
+
+368
+00:31:23,870 --> 00:31:28,230
+phagocytosis وإلا كيف تتعرف ال phagocytic cell على
+
+369
+00:31:28,230 --> 00:31:33,990
+ال antigen من خلال تعليمه by antibody mostly ال
+
+370
+00:31:33,990 --> 00:31:36,570
+IGG has this ability
+
+371
+00:31:42,170 --> 00:31:45,390
+Antibody-dependent cell-mediated cytotoxicity
+
+372
+00:31:45,390 --> 00:31:50,810
+بتعتمد على ان الـ Fabregens of IgG بترتبط
+
+373
+00:31:50,810 --> 00:31:55,810
+بالأنتجين بضال فالتنين الـ Fc Portion على الـ Fc
+
+374
+00:31:55,810 --> 00:32:00,330
+Portion وجدوا اليه ريسبتور على سطح كل الفاجوسيتك
+
+375
+00:32:00,330 --> 00:32:07,250
+سيل and أنكي سيل عشان هي كل الفاجوسيتك سيل تتعرف
+
+376
+00:32:07,250 --> 00:32:10,830
+على الانتجين بهذه الخاصية بالاضافة إلى الـ
+
+377
+00:32:10,830 --> 00:32:19,220
+Opsinizerأو كيفية
+
+378
+00:32:19,220 --> 00:32:27,900
+التعرف على الانتبادي دي بندنالـ Fabregion و IGG
+
+379
+00:32:27,900 --> 00:32:31,420
+بتمسك في الـ Antigen فبتضل فعلة مين اللي هو الـ FC
+
+380
+00:32:31,420 --> 00:32:34,900
+portion هذا اللي هو الـ Receptor على سطح الفاجوس
+
+381
+00:32:34,900 --> 00:32:39,160
+اللي تكسبه اللي بعد مرة طبعا ال killer cell تبدأ
+
+382
+00:32:39,160 --> 00:32:46,580
+تقتل ال target cell من خلال إفراز certain granules
+
+383
+00:32:46,580 --> 00:32:50,980
+عليها activation of complementby IGG complement
+
+384
+00:32:50,980 --> 00:32:57,320
+activation أيضا بيؤدي الى ال direct license of the
+
+385
+00:32:57,320 --> 00:33:00,980
+invading organism برضه بتتم من خلال ال
+
+386
+00:33:00,980 --> 00:33:07,200
+optionization يعني ايه؟ بتتم عملية ايه؟ اللي هو ال
+
+387
+00:33:07,200 --> 00:33:12,340
+direct killing by activation of complement
+
+388
+00:33:12,340 --> 00:33:15,930
+neutralization of toxinطبعا بيصير فيه Antigen
+
+389
+00:33:15,930 --> 00:33:19,370
+Antibody reaction blocking للانتجن و بيصير للتكسين
+
+390
+00:33:19,370 --> 00:33:23,330
+و بيصير فيه بيصير هذا هو immunoglobulin بلقس the
+
+391
+00:33:23,330 --> 00:33:28,870
+active site of various toxins زي التتاناس زي ال
+
+392
+00:33:28,870 --> 00:33:33,450
+portulism portulanas
+
+393
+00:33:33,450 --> 00:33:38,910
+و ال passive immunization is used immobilization
+
+394
+00:33:38,910 --> 00:33:41,710
+of بكتيريا زي تريبانيماباليديام
+
+395
+00:33:46,660 --> 00:33:51,840
+immobilization neutralization of virus IgG is an
+
+396
+00:33:51,840 --> 00:33:56,260
+efficient virus neutralizing antibody inhibition
+
+397
+00:33:56,260 --> 00:34:01,500
+of viral attachment to the target cell وطبعا بيصير
+
+398
+00:34:01,500 --> 00:34:07,160
+فيه inhibition لل penetration of virus وطبعا
+
+399
+00:34:07,160 --> 00:34:11,300
+زي ما انتوا شايفين الصورةهي الفاجوسيتك سيل
+
+400
+00:34:11,300 --> 00:34:16,280
+الهارسيبتور لل Fc portion هي ال Fc portion شايفين
+
+401
+00:34:16,280 --> 00:34:21,920
+ماسكة ال antibody من ناعت ال Fc portion طبعا ال Fc
+
+402
+00:34:21,920 --> 00:34:28,320
+portion طبعا هي زي ما انتوا شايفين زي
+
+403
+00:34:28,320 --> 00:34:29,860
+ما انتوا شايفين
+
+404
+00:34:32,840 --> 00:34:39,380
+ان الانتجين ملعق بالانتيبادي اللى فالت منه مين ال
+
+405
+00:34:39,380 --> 00:34:43,000
+Fc Portion ال Fc Portion ده اللى اللى ريسبترا ده
+
+406
+00:34:43,000 --> 00:34:50,840
+هو عبارة عن انتيبادي ده ممسك بال Fc اللى فالت وهي
+
+407
+00:34:50,840 --> 00:34:56,080
+ممسك وبالتالي بيعملش phagocytosis بتم عمليتش ال
+
+408
+00:34:56,080 --> 00:34:57,020
+phagocytosis
+
+409
+00:34:59,860 --> 00:35:03,400
+الـ اهدى طبعا ال important differences among human
+
+410
+00:35:03,400 --> 00:35:09,700
+IGG classes زى ما تلاحظى ال IGG 1 التركيز تبعه
+
+411
+00:35:09,700 --> 00:35:18,220
+اكتر واحد 70% بيالى IGG 2 بيالى 3 بيالى 4 ال half
+
+412
+00:35:18,220 --> 00:35:27,780
+life كلهم 23 يوم بعد IGG 3 complement binding ال
+
+413
+00:35:28,270 --> 00:35:32,150
+اللي بيعمل complement activation هو IGG3 أربعة
+
+414
+00:35:32,150 --> 00:35:37,910
+بيعملش واحد واتنين يعني ال placental percentage
+
+415
+00:35:37,910 --> 00:35:42,730
+كلهم بيعملوا crossing لل placenta معادة IGG2 وال
+
+416
+00:35:42,730 --> 00:35:49,130
+binding to monocytes IGG1 و 3 أكتر اتنين بيعملوا
+
+417
+00:35:49,130 --> 00:35:51,370
+ارتباط بال monocytes
+
+418
+00:35:54,890 --> 00:35:58,470
+الـ IgM هو أول أنتباط يطلع يوم ما يكون فيه
+
+419
+00:35:58,470 --> 00:36:05,250
+Infection ووجوده Indicate انه فيه Recent Infection
+
+420
+00:36:05,250 --> 00:36:10,770
+وهو عبارة عن Pentameric Molecule ال units are
+
+421
+00:36:10,770 --> 00:36:15,950
+joined together Pentameric خماسي يعني وكل unit
+
+422
+00:36:15,950 --> 00:36:18,010
+عبارة عن
+
+423
+00:36:22,480 --> 00:36:27,720
+مينو جلوبي ال structure يعني زي ال IGG ال
+
+424
+00:36:27,720 --> 00:36:33,300
+structure لحاله وبالتالي بيكون عندنا خمسة
+
+425
+00:36:33,300 --> 00:36:35,680
+different structure كل واحد منهم بيسموه unit
+
+426
+00:36:35,680 --> 00:36:39,580
+الخمسة بيجتمعوا بيرتبطوا مع بعض من خلال SS bond
+
+427
+00:36:39,580 --> 00:36:42,700
+بيرتبطوا
+
+428
+00:36:42,700 --> 00:36:48,180
+من ناحية ال FC portion و بيكونوا ال J chain
+
+429
+00:36:50,720 --> 00:36:57,260
+بتصنع أيضًا في الـ B-Oriblasma Cell الـ IgM أيضًا
+
+430
+00:36:57,260 --> 00:37:02,060
+موجود Intramuscular وموجود على سطح الـ B
+
+431
+00:37:02,060 --> 00:37:09,890
+-Lymphocyte وهو IGDبيكونوا ال PCR اللي هيرتبط
+
+432
+00:37:09,890 --> 00:37:15,190
+بالانتجن انتجن specific PCR ال IGM من صفاته انه
+
+433
+00:37:15,190 --> 00:37:17,930
+excellent complement fixing بنشط ال complement
+
+434
+00:37:17,930 --> 00:37:24,690
+بنجاح و ايضا efficient agglutinating antibody و
+
+435
+00:37:24,690 --> 00:37:28,150
+بيكون ال ISO hemagglutinin و ال ISO ال
+
+436
+00:37:28,150 --> 00:37:31,650
+hemagglutinin هم عبارة عن naturally occurring IGM
+
+437
+00:37:31,650 --> 00:37:37,990
+antibody موجودينagainst RBCs antigen يعني ال A B O
+
+438
+00:37:37,990 --> 00:37:43,160
+antigenلكن المجلد المولى أن الـ IgM اللي هو الـ
+
+439
+00:37:43,160 --> 00:37:46,820
+Isohemoglutin هدولة They cannot cross the placenta
+
+440
+00:37:46,820 --> 00:37:49,660
+وبالتالي ما بيعملوا incompatibility بين ال mother
+
+441
+00:37:49,660 --> 00:37:55,320
+و بين إيش و بين ال fetus إلا أن بعض البكتيريا اللي
+
+442
+00:37:55,320 --> 00:37:57,740
+موجودة في ال gastrointestinal أو ال respiratory
+
+443
+00:37:57,740 --> 00:38:03,180
+tract بيلها بعض ال determinants اللي بتشبه ال EBO
+
+444
+00:38:03,180 --> 00:38:07,920
+blood group IgA
+
+445
+00:38:08,860 --> 00:38:11,440
+هو الـ major antibody موجود في الـ external
+
+446
+00:38:11,440 --> 00:38:18,720
+secretion و such as saliva, mucus, sweet, gastric
+
+447
+00:38:18,720 --> 00:38:24,200
+fluid and tears و ال major antibody found in
+
+448
+00:38:24,200 --> 00:38:30,840
+clostrum of milk يعني في حليب اللبع للأم and it
+
+449
+00:38:30,840 --> 00:38:35,140
+protects intestinal tract of unit against pathogen
+
+450
+00:38:36,080 --> 00:38:40,160
+During the first week after birth وهو حامل حمالة
+
+451
+00:38:40,160 --> 00:38:45,440
+الـ Intestinal tract of Neonate Within mucous
+
+452
+00:38:45,440 --> 00:38:52,020
+secretion الـ IgA موجود على شكل دايمر مرتبط بـ J
+
+453
+00:38:52,020 --> 00:38:59,840
+Chain زي الـ J الموجودة فيه في IgM لكن هنا دايمريك
+
+454
+00:38:59,840 --> 00:39:01,060
+موليكول مش Pentameric
+
+455
+00:39:06,920 --> 00:39:16,080
+وخط سير ال IGA عندما يتكوّن في ال tissue ويخرج من
+
+456
+00:39:16,080 --> 00:39:22,500
+ال tissue على نيوكاس
+
+457
+00:39:22,500 --> 00:39:29,350
+مبرين يمر في الcellsهو مرتبط بشيء يسمى Poly
+
+458
+00:39:29,350 --> 00:39:32,850
+Immunoglobulin Receptor موجود على الـ Basal
+
+459
+00:39:32,850 --> 00:39:36,610
+Membrane of Adjacent Epithelial Cell وهذا الـ
+
+460
+00:39:36,610 --> 00:39:42,670
+Receptor بأهله أنه يخترق الـ Epithelial Cell عشان
+
+461
+00:39:42,670 --> 00:39:46,270
+يطلع Extra Cellularي في الـ Extra Cellular Fluid
+
+462
+00:39:46,270 --> 00:39:52,770
+اللي موجودة في الـ Gut أو البرونكاي وعمليةووجوده
+
+463
+00:39:52,770 --> 00:39:57,170
+أيضًا بتتسهّل
+
+464
+00:39:57,170 --> 00:40:04,090
+بوجود By enzymatic cleavage يوم يطلع من الـ
+
+465
+00:40:04,090 --> 00:40:06,450
+epithelial cell على الـ extra cellular fluid
+
+466
+00:40:06,450 --> 00:40:11,030
+بتنقطع هذه الـ poly immunoglobulin receptor لكنها
+
+467
+00:40:11,030 --> 00:40:15,530
+بتترك وراها جزء صغير بسموه secretory component
+
+468
+00:40:15,530 --> 00:40:20,190
+بيبقى مرتبط بالـ FC portion of the immunoglobulin
+
+469
+00:40:20,190 --> 00:40:20,750
+domain
+
+470
+00:40:23,640 --> 00:40:27,480
+الجزء السيكراتوري يمكن أن يساعد في حماية
+
+471
+00:40:27,480 --> 00:40:30,500
+الـDimeric Immunoglobulin-A من التكثير
+
+472
+00:40:30,500 --> 00:40:36,480
+البروتيوليتيكي، يعني التكثير.الجزء السيكراتوري
+
+473
+00:40:36,480 --> 00:40:39,240
+يمكن أن يساعد في حماية الـRespiratory and
+
+474
+00:40:39,240 --> 00:40:43,100
+gastrointestinal tract من التأثير، وهو ممكن يعمل
+
+475
+00:40:43,100 --> 00:40:48,280
+انهيبش لأي أنهيبش لجسم الإباثيليا.هو أيضًا ممكن أن
+
+476
+00:40:48,280 --> 00:40:50,840
+يعمل انهيبش لجسم الإباثيليا.هو أيضًا ممكن أن يعمل
+
+477
+00:40:50,840 --> 00:40:51,360
+انهيبش لجسم الإباثيليا.هو أيضًا ممكن أن يعمل
+
+478
+00:40:51,360 --> 00:40:56,300
+انهيبش لجسم الإباثيليا.في وجود الإيزوزاين الـ IgA
+
+479
+00:40:56,300 --> 00:40:59,920
+أيضًا من صفاته أنه يحتوي على الـ Antiviral and
+
+480
+00:40:59,920 --> 00:41:06,640
+Efficient Agglutinating Antibody وهذا هي الرحلة زي
+
+481
+00:41:06,640 --> 00:41:13,200
+ما قلنا بلازما سيل بتصنعه وفتشه بيصير as a
+
+482
+00:41:13,200 --> 00:41:16,780
+diametric molecule طبعًا عشان ينتقل إلى الـ
+
+483
+00:41:16,780 --> 00:41:21,420
+Extracellularبيروح و هو مرتبط بـ Receptor على سطح
+
+484
+00:41:21,420 --> 00:41:25,730
+الـ Adjacent Epithelial cellsو بيسمو هذا receptor
+
+485
+00:41:25,730 --> 00:41:29,330
+polyminoglobulin receptor فبيخش على شكل physical
+
+486
+00:41:29,330 --> 00:41:33,350
+في ال epithelial cells و في داخل ال physical بيتم
+
+487
+00:41:33,350 --> 00:41:38,550
+عملية تقطيعه و لما بتقطع بطلع طبعا by enzymatic
+
+488
+00:41:38,550 --> 00:41:43,790
+action بطلع extracellularly عملية التقطيع مطلوبة
+
+489
+00:41:43,790 --> 00:41:47,970
+لأنه big molecule في هذه الحالة فبدنا نزغره و بطلع
+
+490
+00:41:47,970 --> 00:41:51,310
+extracellularly لكن بيبقى
+
+491
+00:41:55,650 --> 00:42:01,330
+مرتبط بالـ Fc Portion of IgA Diameter بيسموها الـ
+
+492
+00:42:01,330 --> 00:42:04,550
+Secretory Component هي اللي بتحافظ على الموليكيوم
+
+493
+00:42:04,550 --> 00:42:10,170
+من البروتيولايسيز IGD
+
+494
+00:42:10,170 --> 00:42:13,830
+موجود
+
+495
+00:42:13,830 --> 00:42:20,080
+على سطح الـ P-Lymphocyte هو IGMو it functioned as
+
+496
+00:42:20,080 --> 00:42:26,120
+antigen receptor specific PCR اللي بيكون ان ال IGD
+
+497
+00:42:26,120 --> 00:42:29,360
+correlate with the elimination of B cell with the
+
+498
+00:42:29,360 --> 00:42:37,180
+capacity to generate self-reactive antibody إيش
+
+499
+00:42:37,180 --> 00:42:44,680
+يعني؟ يعني هو من يمنعأو يساعد في التخلص من الـ B
+
+500
+00:42:44,680 --> 00:42:49,220
+-Lymphocytes إذا تحولت إلى الـ Self-Reactive إذا
+
+501
+00:42:49,220 --> 00:42:59,760
+أنتجت لنا Self-Reactive Antibody IGE طبعا بيسموه
+
+502
+00:42:59,760 --> 00:43:05,620
+Reagenic Antibody وطبعا الـ FC Portion تبعته لها
+
+503
+00:43:05,620 --> 00:43:12,290
+ريسبتر على المستل والبيزوفيلولمّا يرتبط بالرسيبتور
+
+504
+00:43:12,290 --> 00:43:18,530
+تبعه برتبط من خلال ال fab region وفي
+
+505
+00:43:18,530 --> 00:43:22,750
+هذه الحالة بيبقى الفالة ال Fc portion اللي لما
+
+506
+00:43:22,750 --> 00:43:27,450
+يحصل cross linking بال antigen بيصير الخلية هذه
+
+507
+00:43:27,450 --> 00:43:33,470
+activated وبتبدأ تطلع لناتحتوي على أكتر من 24
+
+508
+00:43:33,470 --> 00:43:37,690
+أشكال مختلفة كيميائية أشهرها الهيستامين والهيبارين
+
+509
+00:43:37,690 --> 00:43:42,210
+واليوكترين وهذا يشغّل بالفعل عملية عملية عملية
+
+510
+00:43:42,210 --> 00:43:42,230
+عملية عملية عملية عملية عملية عملية عملية عملية
+
+511
+00:43:42,230 --> 00:43:42,890
+عملية عملية عملية عملية عملية عملية عملية عملية
+
+512
+00:43:42,890 --> 00:43:44,510
+عملية عملية عملية عملية عملية عملية عملية عملية
+
+513
+00:43:44,510 --> 00:43:46,530
+عملية عملية عملية عملية عملية عملية عملية عملية
+
+514
+00:43:46,530 --> 00:43:48,030
+عملية عملية عملية عملية عملية عملية عملية عملية
+
+515
+00:43:48,030 --> 00:43:48,030
+عملية عملية عملية عملية عملية عملية عملية عملية
+
+516
+00:43:48,030 --> 00:43:59,450
+عملية عملية عملية عملية
+
+517
+00:43:59,450 --> 00:44:05,930
+عماشي يوم يرتبط بالانتيجين بس الشرط الأساسي لتنشيط
+
+518
+00:44:05,930 --> 00:44:09,670
+الخلية ان يبقى هناك cross linking two adjacent
+
+519
+00:44:09,670 --> 00:44:13,930
+antibodies combine to the antigen وبالتالي بيبقى
+
+520
+00:44:13,930 --> 00:44:19,370
+هناك activation وdegranulation للخلية وطبعا بيطلع
+
+521
+00:44:19,370 --> 00:44:25,510
+زي ما قلتلكوا الهستامين والهيبرين واليوكترين
+
+522
+00:44:25,510 --> 00:44:29,210
+بيسموه ال receptor FCY
+
+523
+00:44:33,620 --> 00:44:38,980
+وهذه طبعا اللى هى جدول بيبين لى different chemical
+
+524
+00:44:38,980 --> 00:44:43,180
+and physical properties of immunoglobulins
+
+525
+00:44:43,180 --> 00:44:50,340
+المختلفة اللى سميناهم isotopes هو هى ال structure
+
+526
+00:44:50,340 --> 00:44:54,000
+of different isotypes اللى موجودة فى الجسم
+
+527
+00:44:57,520 --> 00:45:02,620
+وهي ال figure اللى قولنا كيف بيصير فيه protection
+
+528
+00:45:02,620 --> 00:45:11,920
+لل immunoglobulin IGG في ال intestinal mucosa ده
+
+529
+00:45:11,920 --> 00:45:19,160
+هو بيطلع ال IGG بياخده ال antigen في ال FCRP اللى
+
+530
+00:45:19,160 --> 00:45:24,540
+هو protection لل FCRP برتبط بال antibody ده هو ال
+
+531
+00:45:24,540 --> 00:45:27,670
+antibody اللى ماسك antigenطبعاً بيخش على شكل
+
+532
+00:45:27,670 --> 00:45:31,950
+physical بعد ذلك بيصير في dissociation للانتيجن و
+
+533
+00:45:31,950 --> 00:45:36,730
+بيظل ال antibody مرتبط بال FCRP اللي بيطلع على ال
+
+534
+00:45:36,730 --> 00:45:44,830
+cell membrane و بيرتبط ان بيدور على يعني بيحل من
+
+535
+00:45:44,830 --> 00:45:49,310
+ال receptor في وجود neutral pH طبعا ال antigen
+
+536
+00:45:49,310 --> 00:45:53,950
+بيظل في ال physical بعد ذلك ال lysozyme بيخشواهو
+
+537
+00:45:53,950 --> 00:45:56,690
+يخلصنا من الانتجن من الانتجن الانتجن الانتجن
+
+538
+00:45:56,690 --> 00:46:03,150
+الانتجن الانتجن الانتجن الانتجن الانتجن الانتجن
+
+539
+00:46:03,150 --> 00:46:05,110
+الانتجن الانتجن الانتجن الانتجن الانتجن الانتجن
+
+540
+00:46:05,110 --> 00:46:06,210
+الانتجن الانتجن الانتجن الانتجن الانتجن الانتجن
+
+541
+00:46:06,210 --> 00:46:08,150
+الانتجن الانتجن الانتجن الانتجن الانتجن الانتجن
+
+542
+00:46:08,150 --> 00:46:08,150
+الانتجن الانتجن الانتجن الانتجن الانتجن الانتجن
+
+543
+00:46:08,150 --> 00:46:11,650
+الانتجن الانتجن الانتجن الانتجن الانتجن الانتجن
+
+544
+00:46:11,650 --> 00:46:20,470
+الانتجن الانتجن الانتجن
+
+545
+00:46:24,680 --> 00:46:28,640
+بسم الله الرحمن الرحيم استكملا لمحاضرة ال antibody
+
+546
+00:46:28,640 --> 00:46:32,800
+structure and function وصلنا ل ال kinetics of
+
+547
+00:46:32,800 --> 00:46:40,160
+antibody response after immunization وزي ما
+
+548
+00:46:40,160 --> 00:46:42,920
+تشايفين في ال figure في انها primary immune
+
+549
+00:46:42,920 --> 00:46:46,740
+response و في انها secondary immune response زي ما
+
+550
+00:46:46,740 --> 00:46:49,400
+تشايفين في ال primary immune response في اكتر من
+
+551
+00:46:49,400 --> 00:46:53,290
+phase بتمر فيهابمر فيها ال primary immune response
+
+552
+00:46:53,290 --> 00:46:56,430
+خلينا نتطلق إلى هذه ال phases زي ما انتوا شايفين
+
+553
+00:46:56,430 --> 00:47:00,590
+في عندنا اللي
+
+554
+00:47:00,590 --> 00:47:05,850
+هو ال latent exponential steady and declining
+
+555
+00:47:05,850 --> 00:47:13,570
+ونشوفهم طيب هذه ال primary phase بينقسم
+
+556
+00:47:13,570 --> 00:47:19,390
+إلى عدة phases أولها ال lateو ال latent هي عبارة
+
+557
+00:47:19,390 --> 00:47:25,190
+عن ال lag phase الفترة المطلوبة for B and T cell
+
+558
+00:47:25,190 --> 00:47:28,250
+to make contact وصلها proliferation and
+
+559
+00:47:28,250 --> 00:47:30,890
+differentiation make contact و ال antigen طبعا
+
+560
+00:47:30,890 --> 00:47:34,590
+وصلها proliferation and differentiation غالبا هذه
+
+561
+00:47:34,590 --> 00:47:41,230
+الفترة بتكون من one to two weeksالفز التاني
+
+562
+00:47:41,230 --> 00:47:43,830
+exponential phase وطبعا في هذا ال phase بيصير فيه
+
+563
+00:47:43,830 --> 00:47:47,570
+زيادة من ايه اسمه لل antibody concentration in
+
+564
+00:47:47,570 --> 00:47:51,610
+serum الفز التالت اللي هو steady phase وهنا بيصير
+
+565
+00:47:51,610 --> 00:47:55,630
+فيه balance في ال production and degradation واخر
+
+566
+00:47:55,630 --> 00:47:59,170
+phase هو declining phase بيبدأ ال immunoglobulin
+
+567
+00:47:59,170 --> 00:48:03,070
+to shutdown فال antibody level and structure بيصير
+
+568
+00:48:03,070 --> 00:48:08,290
+له declining rapidly اول antibody بيطلع هو ال IgM
+
+569
+00:48:08,910 --> 00:48:13,810
+وإذا كان ال IGG بدو يطلع فال IGG بيكون مصاحب زيادة
+
+570
+00:48:13,810 --> 00:48:19,270
+ال IGG بتكون مصاحبها قلة في ال production of IGF
+
+571
+00:48:19,270 --> 00:48:22,710
+في secondary immune response طبعا أثناء ال primary
+
+572
+00:48:22,710 --> 00:48:29,110
+immune response تكون ال pool from long lived
+
+573
+00:48:29,110 --> 00:48:34,070
+memory cell تكون pool of memory cell and this
+
+574
+00:48:34,070 --> 00:48:37,900
+memory cellعندها القدرة to mount a secondary
+
+575
+00:48:37,900 --> 00:48:43,300
+response of the same antigen في secondary or
+
+576
+00:48:43,300 --> 00:48:47,240
+memory response بيسموه بعد مرات anamnestic
+
+577
+00:48:47,240 --> 00:48:53,420
+response بيصير فيه طبعا apparent response to the
+
+578
+00:48:53,420 --> 00:49:01,900
+antigenو غالبا بتتم في هذا ال response اللي بيكون
+
+579
+00:49:01,900 --> 00:49:06,580
+ال lag phase is shorter و ال antibody اللي بينتج
+
+580
+00:49:06,580 --> 00:49:15,440
+بيكون أكتر و it lasts longer بمعنى بتول for month
+
+581
+00:49:15,440 --> 00:49:20,700
+or years ال
+
+582
+00:49:20,700 --> 00:49:22,900
+IgG antibody
+
+583
+00:49:26,730 --> 00:49:32,930
+بظهر بسرعة وتركيز أعلى من الـ IgM ويمكن أن يطلع
+
+584
+00:49:32,930 --> 00:49:36,250
+IgA أو IgE وبيسمو هذه الظاهرة Class-Switching
+
+585
+00:49:36,250 --> 00:49:41,090
+Phenomena بس كل الـ Antibody اللي بتطلع عبارة عن
+
+586
+00:49:41,090 --> 00:49:46,070
+has the same specificity as IgM اللي طلع بصير في
+
+587
+00:49:46,070 --> 00:49:48,650
+affinity of maturation في ال class-switching
+
+588
+00:49:48,650 --> 00:49:51,830
+وبالتالي قدرة ال antibody اللي بيطلع على الارتباط
+
+589
+00:49:51,830 --> 00:49:56,920
+بالانتجن بتكون أعلىو Secondary immune response
+
+590
+00:49:56,920 --> 00:50:03,820
+بيمثل لنا ظاهرة ال repeated immunization بمعنى
+
+591
+00:50:03,820 --> 00:50:08,480
+with attenuated طبعا justified هو برر لنا موضوع
+
+592
+00:50:08,480 --> 00:50:11,980
+اللي هو repeated immunization with attenuated
+
+593
+00:50:11,980 --> 00:50:16,340
+inactivated pathogen to induce an immune response
+
+594
+00:50:17,310 --> 00:50:20,670
+Immunoglobulin superfamily في عائلة كلها هذه
+
+595
+00:50:20,670 --> 00:50:24,310
+العائلة كلها تشترك في ال structure of
+
+596
+00:50:24,310 --> 00:50:28,670
+immunoglobulin اللي هو عبارة عن Y-shaped غالبا أو
+
+597
+00:50:28,670 --> 00:50:34,550
+وجود ال domain في ال structure فهذه العائلة هي
+
+598
+00:50:34,550 --> 00:50:37,570
+عبارة عن immunoglobulin باخد ال Y-shapeالـ
+
+599
+00:50:37,570 --> 00:50:41,730
+Structure اللى جنبه اللى هو ال molecule اللى جنبه
+
+600
+00:50:41,730 --> 00:50:45,510
+اللى هو immunoglobulin Alpha, Beta, تيرو دايمر أي
+
+601
+00:50:45,510 --> 00:50:49,490
+ماخد نفس تقريبا ال structure ثم ال T cell receptor
+
+602
+00:50:49,490 --> 00:50:59,070
+و ال CD3 CD3 عبارة عن برضه structure بيكون جنب ال
+
+603
+00:50:59,070 --> 00:51:07,420
+PCR و immunoglobulin Alpha, Betaوبيساعد أيضًا في
+
+604
+00:51:07,420 --> 00:51:11,220
+الـ Cell Signaling ثم Class I و Class II MHC
+
+605
+00:51:11,220 --> 00:51:15,000
+موليكيول ثم Poly-Immunoglobulin Receptor اللي قلنا
+
+606
+00:51:15,000 --> 00:51:21,660
+IGA برتبط فيه عشان تفسيلتيت اللي هو extravasation
+
+607
+00:51:21,660 --> 00:51:27,080
+to the extracellular fluid ال
+
+608
+00:51:27,080 --> 00:51:30,360
+.. these molecules زي ما قلنا sharing the same
+
+609
+00:51:30,360 --> 00:51:35,880
+structure immunoglobulin 4-domainو طبعا هذا دليل
+
+610
+00:51:35,880 --> 00:51:40,900
+على ان كلهم طالعين من نفس الجينات من جينات في نفس
+
+611
+00:51:40,900 --> 00:51:46,180
+المنطقة sorry اللي هي primordial gene عملية ال
+
+612
+00:51:46,180 --> 00:51:50,190
+foldingأو الـ Loop Formation و تكوين الـ Domain
+
+613
+00:51:50,190 --> 00:51:55,450
+سببه اللي هو الـ Intra-Chain Disulfide Bond و اللي
+
+614
+00:51:55,450 --> 00:51:59,230
+بيشكل حوالي 110 Amino Acids و هذه الـ Domains
+
+615
+00:51:59,230 --> 00:52:03,810
+غالبا هي اللتي تمكن من الارتباط بالـ Cell Surface
+
+616
+00:52:03,810 --> 00:52:07,070
+Molecule زي CD4 على الـ T-Helper Cell و أماتشي
+
+617
+00:52:07,070 --> 00:52:10,250
+Class II Molecule على الـ Antigen Presenting Cell
+
+618
+00:52:10,250 --> 00:52:13,430
+الموضوع
+
+619
+00:52:13,430 --> 00:52:15,130
+التاني اللي بدأنا نحكي فيه Related to
+
+620
+00:52:15,130 --> 00:52:19,040
+Immunoglobulinstructure and function هو ال
+
+621
+00:52:19,040 --> 00:52:21,940
+hybridoma technique و ال monoclonal antibody
+
+622
+00:52:21,940 --> 00:52:27,200
+formation طبعا زي ما انتوا شايفين التكنيك ببساطة و
+
+623
+00:52:27,200 --> 00:52:31,820
+باختصار احنا كل اللي بناخده هو عبارة عن spleen
+
+624
+00:52:31,820 --> 00:52:40,980
+cell mostly B lymphocytes من ال spleen المنفعر
+
+625
+00:52:40,980 --> 00:52:46,570
+عرضنا ل antigenيعني الـ B lymphocyte already تعرضت
+
+626
+00:52:46,570 --> 00:52:54,530
+ل antigen ماشي و بنجيب myeloma cell و ال myeloma
+
+627
+00:52:54,530 --> 00:53:05,940
+cell بتكون يعني مهجنة جينياأو باستخدام الـ Genetic
+
+628
+00:53:05,940 --> 00:53:09,840
+Engineering بيشيلوا منها ال enzyme Ibogazine
+
+629
+00:53:09,840 --> 00:53:14,460
+Phosphoribosyltransferase enzyme بينشأ الهيو
+
+630
+00:53:14,460 --> 00:53:18,620
+نيجاتيف و بيجيبوا التوسط طبعا Myeloma cell يعني B
+
+631
+00:53:18,620 --> 00:53:24,380
+lymphocyte لكنها cancer of B lymphocytes هذه
+
+632
+00:53:24,380 --> 00:53:27,980
+الخلية طبعا شرط انها تكون غير قادرة على إنتاج
+
+633
+00:53:27,980 --> 00:53:30,080
+immunoglobulin
+
+634
+00:53:36,490 --> 00:53:41,670
+ال culture media غالبا بيكون contain ال hat medium
+
+635
+00:53:41,670 --> 00:53:46,030
+اللي هو عبارة عن ال hypo, زنثين, امينو, بترين
+
+636
+00:53:47,460 --> 00:53:52,720
+فايمدينو ميديام طبعا ال بيليمفوسايت تستطيع تستغل
+
+637
+00:53:52,720 --> 00:53:58,480
+هذه ال نيوكليوتايد لتصنيع اللي هو ال DNA بينما ال
+
+638
+00:53:58,480 --> 00:54:02,460
+myeloma cell لا تستطيع لأنها تفقد ال enzyme اللي
+
+639
+00:54:02,460 --> 00:54:10,680
+بيساعد على استغلال هذه ال نيوكليوتايد نشيب هات to
+
+640
+00:54:10,680 --> 00:54:15,120
+grow و بعدين نفحص ل supernatant for antibody
+
+641
+00:54:15,120 --> 00:54:21,780
+productionبناخد ال clone of each positive culture
+
+642
+00:54:21,780 --> 00:54:28,080
+و بنعمله أيه صعب ال culturing برضه بنفحص ال super
+
+643
+00:54:28,080 --> 00:54:32,960
+natant و إذا بدنا نزود عددها إذا عجبنا الخدية و
+
+644
+00:54:32,960 --> 00:54:38,560
+نجحت مية في المية بنزود عددها بزود عددها اما by
+
+645
+00:54:39,420 --> 00:54:43,540
+propagation in vivo روحنا هخلينها برضه في
+
+646
+00:54:43,540 --> 00:54:48,140
+البراتونير كافتي تبعت الفعار فبتبدأ تنمو بكميات
+
+647
+00:54:48,140 --> 00:54:53,380
+كبيرة جدا وبيعتبر culture media محترم جدا او in
+
+648
+00:54:53,380 --> 00:54:57,720
+vitro in subculturing هذا هو نعملها culturing
+
+649
+00:54:57,720 --> 00:55:02,940
+وطبعا بعديك نعمل harvesting للمونوكلون ال antibody
+
+650
+00:55:02,940 --> 00:55:08,160
+ناخدها و بنعملها subculturing و بناخداشطبعا ناخد
+
+651
+00:55:08,160 --> 00:55:12,420
+كل واحدة و نعملها ايش؟ بتدينا clone و ال clone بده
+
+652
+00:55:12,420 --> 00:55:17,240
+يدينا كميات كبيرة من ال monoclonal antibody اللي
+
+653
+00:55:17,240 --> 00:55:23,080
+هي immunized agents يوم اي انسان يتعرض لانتجن
+
+654
+00:55:23,080 --> 00:55:26,900
+الانتجن ممكن يحتوي عليها many epitopes these
+
+655
+00:55:26,900 --> 00:55:31,360
+epitopes will activate many lymphocytes و ال
+
+656
+00:55:31,360 --> 00:55:35,180
+lymphocytes اللي بتتنشط هتدينا many antibodies
+
+657
+00:55:35,180 --> 00:55:40,690
+specific for thedifferent epitopes ماشي في ال 75
+
+658
+00:55:40,690 --> 00:55:46,550
+يعني ظهرت الحاجة لإنه نحتوي على monoclonal
+
+659
+00:55:46,550 --> 00:55:50,250
+antibody بدناش polyclonal طبعا في ال .. في ال ..
+
+660
+00:55:50,250 --> 00:55:54,190
+أول هذا كل اللي بيطلع polyclonal antibody لكن ظهرت
+
+661
+00:55:54,190 --> 00:55:57,710
+الحاجة في ال .. ال monoclonal antibody اللي هو
+
+662
+00:55:57,710 --> 00:56:02,110
+more specific بس بدنا one antibodyوطبعا اللي جام
+
+663
+00:56:02,110 --> 00:56:06,130
+بيها العملية اللي هو Kolar و Milstein في الخمسة
+
+664
+00:56:06,130 --> 00:56:10,610
+وسبعين طوروا عملية تصنيع ال monoclonal antibody
+
+665
+00:56:10,610 --> 00:56:15,370
+واخد عليها ال Nobel Prize و ال monoclonal antibody
+
+666
+00:56:15,370 --> 00:56:17,570
+اللي بيطلع هو برعنة homogeneous population و
+
+667
+00:56:17,570 --> 00:56:20,530
+antibody molecule طلع منه single antibody
+
+668
+00:56:20,530 --> 00:56:23,730
+producing cell واحدة in which all antibody are
+
+669
+00:56:23,730 --> 00:56:24,250
+identical
+
+670
+00:56:30,380 --> 00:56:33,980
+وهي البروسيجال اللى تبعها الكوية بالضبط ماليجنة
+
+671
+00:56:33,980 --> 00:56:38,380
+انتبلازما سيل يعني امورتايل ماعندهاش القدرة انها
+
+672
+00:56:38,380 --> 00:56:43,300
+تنتج اي مينو غلوبيلين ماشي these cells are
+
+673
+00:56:43,300 --> 00:56:47,060
+engineered to be deficient بيشيلوا منها
+
+674
+00:56:47,060 --> 00:56:51,460
+الhypoxanthin guanine phosphoribosyl transferase
+
+675
+00:56:51,460 --> 00:56:55,000
+enzyme وبالتالي it will not survive in a culture
+
+676
+00:56:56,600 --> 00:57:02,520
+طول ما الانزيم هذا مش موجود. These cells are
+
+677
+00:57:02,520 --> 00:57:08,020
+infused يعني hybridized مع freshly harvested B
+
+678
+00:57:08,020 --> 00:57:13,060
+lymphocyte أخدناها من فعها، spleen تبع فعر عرضناها
+
+679
+00:57:13,060 --> 00:57:18,160
+لانتجن سابق ماشي عملنا لهم diffusion و ال
+
+680
+00:57:18,160 --> 00:57:22,120
+diffusion بتم من خلال إضافة مادة كيميائية اسمها
+
+681
+00:57:22,120 --> 00:57:25,260
+polyethylene glycol بتعمل .. بساعد على diffusion
+
+682
+00:57:26,770 --> 00:57:29,610
+طبعاً في هذه الحالة تجعلنا تلت أنواع من الخلايا
+
+683
+00:57:29,610 --> 00:57:33,910
+خلايا بالإنفوسايت ما حصل لهاش fusion ثم hybrid
+
+684
+00:57:33,910 --> 00:57:40,010
+cells حصل لها fusion ثم ال myeloma
+
+685
+00:57:40,010 --> 00:57:46,350
+cell برضه ما شاركتش في ال hybridization ماشي
+
+686
+00:57:46,350 --> 00:57:50,210
+بنحطهم كلهم في culture media شو اللي بيصير قالوا
+
+687
+00:57:50,210 --> 00:57:52,890
+ال antibody producing cell اللي في عندها
+
+688
+00:57:52,890 --> 00:57:55,710
+hypoxanthinأي جوانين
+
+689
+00:57:55,710 --> 00:57:59,530
+فوسفوريابوزيليترانسفيريزيينزاين ستنجح ولكن الانزين
+
+690
+00:57:59,530 --> 00:58:07,730
+لن يموت لغاية ما يخلص حياته و بعد ذلك ستموت والسل
+
+691
+00:58:07,730 --> 00:58:12,810
+الماليجنان لا يملك انزين وبالتالي لن تستطيع أن
+
+692
+00:58:12,810 --> 00:58:18,370
+تصمد في الكلشر فستموت مين بيبقى لعيننا اللي هو ال
+
+693
+00:58:18,370 --> 00:58:24,660
+hybridoma cell هذا السل ستنجحطبعا هذه ممكن نفحصها
+
+694
+00:58:24,660 --> 00:58:29,660
+ببساطة نفحص ال supernatant تبعها by أو ال antibody
+
+695
+00:58:29,660 --> 00:58:37,820
+producing منها by ELISA technique and those cells
+
+696
+00:58:37,820 --> 00:58:44,120
+are cloned وكل clone ممكن تكون انها كمية كبيرة من
+
+697
+00:58:44,120 --> 00:58:47,180
+ال monoclonal antibody with a single specificity
+
+698
+00:58:48,410 --> 00:58:51,290
+استخدام الـ Monoclonal Antibody غالبا تستخدم في
+
+699
+00:58:51,290 --> 00:58:55,510
+الـ Diagnostic Technique وكل فعشاطنا في المختبر
+
+700
+00:58:55,510 --> 00:59:00,830
+تعتمد على الـ Monoclonal Antibody الـ agent كلنا
+
+701
+00:59:00,830 --> 00:59:04,330
+كل الكتات اللي بنستخدمها غالبا هي Monoclonal
+
+702
+00:59:04,330 --> 00:59:08,610
+Antibody الأغلى منها هي عبارة عن Monoclonal
+
+703
+00:59:08,610 --> 00:59:10,670
+Antibody طبعا ال Polycloma اللي بيدينا cross
+
+704
+00:59:10,670 --> 00:59:16,770
+reactivity ومش .. و non specific أيضا تستخدم في ال
+
+705
+00:59:16,770 --> 00:59:22,890
+treatmentof cancer شو اللي بيعملوه اليوم بيربطوه
+
+706
+00:59:22,890 --> 00:59:26,530
+في ديال ال monoclonal antibody ال drug او ال toxin
+
+707
+00:59:26,530 --> 00:59:30,270
+و بيحقنوه في المريض بيضل يجري يجري يجري لغاية ما
+
+708
+00:59:30,270 --> 00:59:33,890
+يصل ال tumor cell او ال infected cell و هناك بيمسك
+
+709
+00:59:33,890 --> 00:59:39,070
+فيها و ال toxin المربوط فيها او ال drug بعمل عملية
+
+710
+00:59:39,070 --> 00:59:43,210
+قتل لها و بالتالي بيصير في targeting therapy
+
+711
+00:59:43,210 --> 00:59:47,510
+بيسموها العملية targeting therapy
+
+712
+00:59:49,380 --> 00:59:55,480
+بهيك بنكون ان هنا المحاضرة اتمنى ان تكونوا يعني قد
+
+713
+00:59:55,480 --> 00:59:58,320
+استفدتم ان شاء الله و شكرا
+
diff --git a/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/FDZuFMrrmm8_postprocess.srt b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/FDZuFMrrmm8_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..73eeb07c3b9f29e8c162f60ed28fb862988083ea
--- /dev/null
+++ b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/FDZuFMrrmm8_postprocess.srt
@@ -0,0 +1,2548 @@
+1
+00:00:02,040 --> 00:00:06,920
+بسم الله الرحمن الرحيم نلتقى اليوم في محاضرة جديدة
+
+2
+00:00:06,920 --> 00:00:10,300
+بعنوان activation and function of T and B cell
+
+3
+00:00:10,300 --> 00:00:19,060
+طبعا activation of T and B cell
+
+4
+00:00:22,810 --> 00:00:27,750
+محصلته proliferation and differentiation into an
+
+5
+00:00:27,750 --> 00:00:31,510
+effector cell and memory cell تنقسم الخلية سلها
+
+6
+00:00:31,510 --> 00:00:35,290
+proliferation and differentiation وتنقسم الخلية
+
+7
+00:00:35,290 --> 00:00:38,430
+تدينا two types of cell واحدة effector واحدة
+
+8
+00:00:38,430 --> 00:00:44,290
+memory cellال activation of T cell محصلتها
+
+9
+00:00:44,290 --> 00:00:47,730
+secretion of cytokine يعني بعد ما تتنشط ال T
+
+10
+00:00:47,730 --> 00:00:52,330
+lymphocyte اللي بتلايلنا cytokine و طبعا ال
+
+11
+00:00:52,330 --> 00:00:56,970
+cytokine بيأثر على خلايا كثيرة وال activation of B
+
+12
+00:00:56,970 --> 00:01:01,880
+cell محصلتها إنتاج antibody productionهذه الصورة
+
+13
+00:01:01,880 --> 00:01:07,260
+بتبين انها كيف بتتم عملية اللي هو بداية ال
+
+14
+00:01:07,260 --> 00:01:10,980
+response احنا اتفقنا ان ال B لنفسه ساعد و ال D
+
+15
+00:01:10,980 --> 00:01:25,970
+لنفسه ساعد بمجرد انهم ماتورينطبعا هم هومينج هم هم
+
+16
+00:01:25,970 --> 00:01:30,830
+هم
+
+17
+00:01:30,830 --> 00:01:32,550
+هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم
+
+18
+00:01:32,550 --> 00:01:33,410
+هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم
+
+19
+00:01:33,410 --> 00:01:34,290
+هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم
+
+20
+00:01:34,290 --> 00:01:35,670
+هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم
+
+21
+00:01:35,670 --> 00:01:37,410
+هم هم
+
+22
+00:01:40,890 --> 00:01:46,030
+صادفت antigen عملت له phagocytosis تعرفت عليه طبعا
+
+23
+00:01:46,030 --> 00:01:49,610
+من خلال tool like receptor هنشوف وظائفها الآن
+
+24
+00:01:49,610 --> 00:01:56,230
+أخدته وعملت له phagocytosis وطبعا صار له
+
+25
+00:01:56,230 --> 00:02:02,330
+processing يعني شجفته طلع مرتبط بال MRC class 2
+
+26
+00:02:02,330 --> 00:02:07,050
+molecule وبمجرد نصي طلع مرتبط بالMRC class 2
+
+27
+00:02:07,050 --> 00:02:13,050
+molecule بصير induction إلى B7و class 2 موليكيول
+
+28
+00:02:13,050 --> 00:02:19,150
+طبعا once this happen يصير فيه synthesis ل IL-12
+
+29
+00:02:19,150 --> 00:02:24,410
+cytokine and other chemokine طالعة من ايش من ال
+
+30
+00:02:24,410 --> 00:02:31,890
+dendritic cell تاخد بتخش هذه الخلية الى ال lymph
+
+31
+00:02:31,890 --> 00:02:36,630
+nodes و هناك بعد ال release of this cytokine it
+
+32
+00:02:36,630 --> 00:02:42,860
+becomes mature dendritic cellالتي تقدم الانتجين
+
+33
+00:02:42,860 --> 00:02:48,480
+لمن؟ لـ T-cell طبعاً هي بتبقى الخاشة و هناك في الـ
+
+34
+00:02:48,480 --> 00:02:52,280
+Germinal Center في T-cell area في الـ lymph nodes
+
+35
+00:02:52,280 --> 00:02:58,900
+و بتقدم الانتجين لمن؟ لـ T البرسيلة طبعاً محصلة ال
+
+36
+00:02:58,900 --> 00:03:06,040
+activation of T lymphocytes Antigen presenting
+
+37
+00:03:06,040 --> 00:03:09,880
+cellالـ Professional Antigen Presenting Cell هما
+
+38
+00:03:09,880 --> 00:03:13,220
+الـ Dendritic Cell و الـ Macrophage و الـ B
+
+39
+00:03:13,220 --> 00:03:19,980
+-Lymphocytes طبعاً هؤلاء يستخدمون الانتجين لتكوينه
+
+40
+00:03:19,980 --> 00:03:27,280
+و يقدمونه كوستيمولاتر سيجنال التنتين هدول تقديم
+
+41
+00:03:27,280 --> 00:03:33,760
+الانتجن و تزويدنا بالكوستيمولاتر سيجنال سيكتفع الـ
+
+42
+00:03:33,760 --> 00:03:39,780
+Naive T-Lymphocyteالـ Dendritic cell can express
+
+43
+00:03:39,780 --> 00:03:44,700
+high level of MSG a class 2 and class 1 molecule
+
+44
+00:03:44,700 --> 00:03:50,040
+وقولنا they are motile they are moving from one
+
+45
+00:03:50,040 --> 00:03:54,380
+place to another و بيضلوا يمشوا لغاية ما يصلوا ال
+
+46
+00:03:54,380 --> 00:03:57,760
+lymph nodes و هناك they can interact with the T
+
+47
+00:03:57,760 --> 00:04:05,130
+lymphocytes وشوفنا ال figure الأول يعنيهو بيظهر
+
+48
+00:04:05,130 --> 00:04:09,610
+لنا ال interaction of antigen و ال dendritic cell
+
+49
+00:04:09,610 --> 00:04:15,730
+in tissue أخدته و راحت طبعا أدى إلى ال maturation
+
+50
+00:04:15,730 --> 00:04:22,490
+of dendritic cell و أدى إلى أنه في خلية حاملة على
+
+51
+00:04:22,490 --> 00:04:32,950
+سطحهاانتيجين اتحركت لغاية ما وصلت للمف نوز وهناك
+
+52
+00:04:32,950 --> 00:04:39,090
+صار في عملية ال interaction في ال figure برضه
+
+53
+00:04:39,090 --> 00:04:42,490
+الانتيجين هو عبارة عن gram negative بكتيريا تاخد
+
+54
+00:04:42,490 --> 00:04:47,290
+by immature dendritic cell ومن خلال interaction
+
+55
+00:04:47,290 --> 00:04:51,830
+with tool like receptor اللي موجودة على سطح ال
+
+56
+00:04:51,830 --> 00:04:58,200
+dendritic cellاكتفاء توليكا ريسبتور من جزء من
+
+57
+00:04:58,200 --> 00:05:04,160
+الميكروبيا يؤدي إلى اكتفاء كامين من الـ innate و
+
+58
+00:05:04,160 --> 00:05:08,800
+الـ adaptive immunity الـ innate من خلال
+
+59
+00:05:08,800 --> 00:05:13,300
+الفاجوسيتوسيز والـ adaptive من خلال الـ cytokine
+
+60
+00:05:17,650 --> 00:05:21,290
+طيب ايش هم ال tool like receptor؟ قالوا they are
+
+61
+00:05:21,290 --> 00:05:27,210
+considered as part of pattern recognition molecule
+
+62
+00:05:27,210 --> 00:05:32,570
+pattern recognition molecule هذا عبارة عن مجموعة
+
+63
+00:05:32,570 --> 00:05:41,860
+موجودة على سطح خلاياكل واحد is specific for the
+
+64
+00:05:41,860 --> 00:05:51,900
+recognition of certain foreign antigen they fit
+
+65
+00:05:51,900 --> 00:05:56,400
+with a distinct pattern of corresponding base of
+
+66
+00:05:56,400 --> 00:06:04,330
+pathogen برتبته بقطعة او بالمكان المناسباللي موجود
+
+67
+00:06:04,330 --> 00:06:09,990
+على سطح ال pathogen and they serve as a flag they
+
+68
+00:06:09,990 --> 00:06:18,510
+are flags alerting يعني دائما بيش بيصححوا a
+
+69
+00:06:18,510 --> 00:06:22,750
+responding cell to the presence of innate invading
+
+70
+00:06:22,750 --> 00:06:30,590
+microorganism هم يعني ينشطوا
+
+71
+00:06:31,730 --> 00:06:38,910
+أو يجعل الخلايا الجسم دائما في حالة استنفار في حال
+
+72
+00:06:38,910 --> 00:06:45,430
+دخول الانتجين أيضا they facilitate phagocytosis
+
+73
+00:06:45,430 --> 00:06:48,790
+ماحنا قلنا بس من مجرد ما يصير في ارتباط ما بين ال
+
+74
+00:06:48,790 --> 00:06:52,410
+toll like receptor والانتجينبصير فيه phagocytosis
+
+75
+00:06:52,410 --> 00:06:56,810
+هي طول like رسبتور اكتفيت phagocytes and tissue
+
+76
+00:06:56,810 --> 00:07:02,210
+dendritic cell in response to pathogen and they
+
+77
+00:07:02,210 --> 00:07:05,790
+are large family of receptor مجموعة كبيرة من ال
+
+78
+00:07:05,790 --> 00:07:10,990
+receptor كل واحد منهم each of which recognizes
+
+79
+00:07:10,990 --> 00:07:16,230
+specific microbial molecular patternكان هم مجموعة
+
+80
+00:07:16,230 --> 00:07:22,430
+من الـ Receptor موجودة على خلايا الجسم الفاعلة في
+
+81
+00:07:22,430 --> 00:07:26,950
+ال innate immunity وكل واحد منهم بيتعرف على
+
+82
+00:07:26,950 --> 00:07:31,570
+microbial pattern أو ال molecular pattern موجود
+
+83
+00:07:31,570 --> 00:07:35,640
+على سطح الخلاياActivation of these cells
+
+84
+00:07:35,640 --> 00:07:40,580
+facilitates initiation of acquired immune response
+
+85
+00:07:40,580 --> 00:07:44,520
+من خلال إيش؟ Release or production of pro
+
+86
+00:07:44,520 --> 00:07:51,160
+-inflammatory cytokine وهذا ما يفسر العلاقة ما بين
+
+87
+00:07:51,160 --> 00:07:54,620
+ال innate و ال acquired immune response
+
+88
+00:07:57,700 --> 00:08:04,000
+أيضا ما يسهل عملية phagocytosis هو أن الميكروب
+
+89
+00:08:04,000 --> 00:08:09,220
+يكون coated with complement يعني بيكون optionized
+
+90
+00:08:09,220 --> 00:08:12,700
+يعني ال optionized microbe
+
+91
+00:08:15,250 --> 00:08:19,350
+بإمكانها أن تكون بسهولة فاغوسيتيزة فرن أنتجين يدفع
+
+92
+00:08:19,350 --> 00:08:22,810
+للمستوى العالي من الميليكيولات التشغيلية يبقى
+
+93
+00:08:22,810 --> 00:08:26,750
+الميليكيولات التشغيلية تتكون في وجود أو في حالة
+
+94
+00:08:26,750 --> 00:08:34,010
+وجود فرن أنتجين بينما في حالة الـ self-antigen هذه
+
+95
+00:08:34,010 --> 00:08:40,130
+الميليكيولات التشغيلية لا يمكن أن تكون مصادرة ولن
+
+96
+00:08:40,130 --> 00:08:47,960
+تدفع نييف تيليمفوسايتوهذه عبارة عن صورة بتوضح ال
+
+97
+00:08:47,960 --> 00:08:52,800
+interaction between molecules on the surface of
+
+98
+00:08:52,800 --> 00:08:59,500
+both antigen presenting cell and CD4 T helper cell
+
+99
+00:08:59,500 --> 00:09:05,960
+يعني هاي ال TCR مرتبط بالامر C class 2والـ
+
+100
+00:09:05,960 --> 00:09:10,280
+coreceptor CD4 أيضًا مرتبط بال MHC class 2 sorry
+
+101
+00:09:10,280 --> 00:09:16,540
+TCR مرتبط بالانتيجن و CD4 مرتبط بال MHC class 2 هي
+
+102
+00:09:16,540 --> 00:09:21,580
+ال core stimulatory molecule CD8 الـ 28 بيرتبط بال
+
+103
+00:09:21,580 --> 00:09:29,700
+B7 أو CTLA4 اللي هو cytotoxic الانفوسايت انتيجن
+
+104
+00:09:29,700 --> 00:09:37,070
+number 4 أيضًا can interact with ashمع B7 واحد
+
+105
+00:09:37,070 --> 00:09:40,430
+بيعمل Stimulatory واحد بيعمل Inhibitory بالمناسبة
+
+106
+00:09:40,430 --> 00:09:46,310
+اللي هو CT على A4 هو Inhibitory ثم CD40 على ال B
+
+107
+00:09:46,310 --> 00:09:52,890
+-Lymphocytes بيرتبط بال CD40 لجند على ال T ثم او
+
+108
+00:09:52,890 --> 00:09:57,540
+اعتبرنا ان هذه ال antigen presenting Bثم ال ICAM-1
+
+109
+00:09:57,540 --> 00:10:01,960
+اللي هو CD54 بيرتبط بخبر عن adhesive molecule
+
+110
+00:10:01,960 --> 00:10:08,280
+بيرتبط ب LFA-1 leukocyte or lymphocyte functioning
+
+111
+00:10:08,280 --> 00:10:12,920
+antigen number one ثم CD2 خبر عن أيضا adhesive
+
+112
+00:10:12,920 --> 00:10:19,130
+molecule على سطح تيرينفوسايت بيرتبط ب LFA-1تلاتة
+
+113
+00:10:19,130 --> 00:10:23,470
+على سطح الـ Antigen Presenting Cell هذه هي روابط
+
+114
+00:10:23,470 --> 00:10:28,010
+عشان الـ Cell-to-Cell Contact كل هذه الروابط and
+
+115
+00:10:28,010 --> 00:10:32,430
+activation مش بس contact and activation هذه
+
+116
+00:10:32,430 --> 00:10:40,390
+الروابط كلها بدها ترتبط نشوفتنشيط هذه الخلية الـ T
+
+117
+00:10:40,390 --> 00:10:44,530
+lymphocyte بتم من خلال أكتر من signal ال first
+
+118
+00:10:44,530 --> 00:10:47,490
+signal هي عبارة عن ال interaction بين الامر C
+
+119
+00:10:47,490 --> 00:10:53,150
+class 2 اللي ماسك على سطحه ال peptide ال antigenic
+
+120
+00:10:53,150 --> 00:10:59,030
+peptide و اللي موجود على ال antigen presenting
+
+121
+00:10:59,030 --> 00:11:07,640
+cell بيرتبط بال TCRمن خلال الـ Variable Alpha و
+
+122
+00:11:07,640 --> 00:11:13,960
+Variable Beta و هذا أول إرتباط و هذا الوصف محتاج
+
+123
+00:11:13,960 --> 00:11:22,520
+لكنه ليس كافيا لإيقافهعشان تقوى الرابطة مضتعف
+
+124
+00:11:22,520 --> 00:11:27,060
+ويصير فيه زيادة في ال response to the antigen لابد
+
+125
+00:11:27,060 --> 00:11:31,500
+من ارتباط ال coreceptor اللي هو CD4 مع ال MHC
+
+126
+00:11:31,500 --> 00:11:38,920
+class 2 وبرتبط في ال constant region of MHC class
+
+127
+00:11:38,920 --> 00:11:45,530
+2CD4 يتم تحريره من
+
+128
+00:11:45,530 --> 00:11:53,050
+الـ TCR الذي يمسك في الـ Antigen ويعمل ارتباط الـ
+
+129
+00:11:53,050 --> 00:11:59,470
+MSG Class 2 ويقوّي الرابطة ويزود الـ Signal
+
+130
+00:11:59,470 --> 00:12:05,070
+Transduction اللي سيحدث الـ
+
+131
+00:12:05,070 --> 00:12:10,430
+Code Stimulatorالرابطات التالتة أو التانية دعنا
+
+132
+00:12:10,430 --> 00:12:15,950
+نقول هي عبارة عن co-stimulator pairs or molecule
+
+133
+00:12:15,950 --> 00:12:19,450
+لازم يحصل فيه interaction بين الـB7 على سطح
+
+134
+00:12:19,450 --> 00:12:28,030
+الـantigen presenting cell مع الـCD28 أو CD40 أو
+
+135
+00:12:28,030 --> 00:12:30,370
+يسمونه CD152
+
+136
+00:12:33,200 --> 00:12:38,060
+وCD40 اللي هو 154 مع CD40 لجنب على سطح
+
+137
+00:12:38,060 --> 00:12:42,160
+التيلينفوسايتز لأن هذه الروابط هي عبارة عن cost
+
+138
+00:12:42,160 --> 00:12:45,380
+stimulator هي عبارة عن الجدلة هي عبارة عن تقوية
+
+139
+00:12:45,380 --> 00:12:49,740
+الرابط اللي بدها تصير عشان نصير فيه اللي هو
+
+140
+00:12:49,740 --> 00:12:54,100
+activation طبعا cost stimulator الميليكيول are
+
+141
+00:12:54,100 --> 00:13:00,440
+required ماشي are necessary for activation of
+
+142
+00:13:00,440 --> 00:13:03,850
+naiveCD 40
+
+143
+00:13:06,780 --> 00:13:11,280
+CD40-Ligand Interaction بتسوّد الـ Expression of
+
+144
+00:13:11,280 --> 00:13:15,900
+B7 على سطح الـ Antigen Presenting Cell و بتسوّد
+
+145
+00:13:15,900 --> 00:13:22,680
+ارتباط الـ B7 مع الـ CD28 بين الـ Antigen
+
+146
+00:13:22,680 --> 00:13:26,780
+Presenting Cell و الـ De-Lymphocyte قلنا في رابطة
+
+147
+00:13:26,780 --> 00:13:32,660
+أخرى هي الـ Adhesion Molecule وتتمثل بالـ ICAM-1
+
+148
+00:13:32,660 --> 00:13:40,170
+بيرتبط مع CD11ACD18 أو ما يسمى بالـ LFA1 ليكوسايت
+
+149
+00:13:40,170 --> 00:13:43,710
+او لمفوسايت في بعض الأحيان functioning associated
+
+150
+00:13:43,710 --> 00:13:50,510
+antigen على سطح التليمفوسايت و أيضا ال adhesive
+
+151
+00:13:50,510 --> 00:13:55,330
+interaction slow down the movement يعني تتلذق تثبت
+
+152
+00:13:55,330 --> 00:14:01,670
+الخلية و يوم تثبت بيصير ال action is more potent
+
+153
+00:14:05,050 --> 00:14:10,770
+الرقم الخامسة هي الـ Immunological Synapse هي
+
+154
+00:14:10,770 --> 00:14:13,910
+منطقة الأرتباط ما بين الـ Antigen Presenting Cell
+
+155
+00:14:13,910 --> 00:14:18,430
+والـ T Cell بيتكون فيها الـ Synapse الـ Synapse
+
+156
+00:14:18,430 --> 00:14:22,050
+يحتاج لإستمرار إتصال الانترال سيلولار هو اللي يعمل
+
+157
+00:14:22,050 --> 00:14:29,050
+إيه الإتصال الانترال سيلولار وهي من ينهي وتبقى
+
+158
+00:14:29,050 --> 00:14:31,350
+شغالة وممسوقة الخلايا
+
+159
+00:14:35,700 --> 00:14:41,760
+لغاية فترة طويلة بتوصل انه حوالي تمام ساعات of
+
+160
+00:14:41,760 --> 00:14:46,760
+contact قال لأ شو بيصير في هذه الحالة قالوا ال
+
+161
+00:14:46,760 --> 00:14:51,520
+Lycos فين جوا اللي بدو ال cluster اللي موجود في
+
+162
+00:14:51,520 --> 00:14:58,640
+cell membrane تبع T cell is mobilized to the
+
+163
+00:14:58,640 --> 00:15:02,460
+synapse اللي هي الوصلة اللي صارت and draw with
+
+164
+00:15:02,460 --> 00:15:08,160
+them intracellular signalingاللي هو دور الـ
+
+165
+00:15:08,160 --> 00:15:12,040
+Intracellular Signaling و هذه خطوات الـ
+
+166
+00:15:12,040 --> 00:15:17,680
+Intracellular Signaling و تتبعوا معايا شو بيصير في
+
+167
+00:15:17,680 --> 00:15:22,620
+هذه الـ Signal جابوا بيرتبط طبعا تكون الـ Synapse
+
+168
+00:15:22,620 --> 00:15:28,440
+و بيرتبط الهرمون او الـ cytokine في هذه الحالة
+
+169
+00:15:28,440 --> 00:15:35,640
+ماشي بالـ Receptor فببشت الـ Receptorومتما اتنشط
+
+170
+00:15:35,640 --> 00:15:38,660
+الهيسبتور بيثبت في البروتين موجود في ال cell
+
+171
+00:15:38,660 --> 00:15:43,800
+membrane of the اسمه اللي هو GS protein وهذا
+
+172
+00:15:43,800 --> 00:15:46,780
+بيتكوّن من Alpha, Beta, Gamma, Tripolip وبتعدى
+
+173
+00:15:46,780 --> 00:15:52,720
+تشين طبعا محصلة نشاطه شغلتين الشغل الأولانية خروج
+
+174
+00:15:52,720 --> 00:16:02,880
+ال GTB من ال GTB GTB تحول إلى GDP وبيرتبط فيه GS
+
+175
+00:16:02,880 --> 00:16:08,900
+proteinالحاجة التانية انه طبعا هذا ال alpha منه
+
+176
+00:16:08,900 --> 00:16:15,900
+ترتبط بال air بال GTP بينما ال beta و ال gamma
+
+177
+00:16:15,900 --> 00:16:22,260
+بروحوا و بنشطوا نزيم تاني اسمه phospholipase C و
+
+178
+00:16:22,260 --> 00:16:26,700
+ال phospholipase C شو بعمل بعمل حاجة حلوة خالص
+
+179
+00:16:26,700 --> 00:16:33,170
+بيحول الفرع five by phosphate in osetolلشغلتين هذا
+
+180
+00:16:33,170 --> 00:16:39,650
+هو لإنواصيتول ترايفوسفيت IB3 ويبقى بنشط ال
+
+181
+00:16:39,650 --> 00:16:44,670
+diacylglycerol يبقى بنشط شغلتين diacylglycerol
+
+182
+00:16:44,670 --> 00:16:49,830
+وإنواصيتول ترايفوسفيت دي بساطة طلق إنواصيتول
+
+183
+00:16:49,830 --> 00:16:52,570
+ترايفوسفيت يخش على ال endoglasmic reticulum ويطلع
+
+184
+00:16:52,570 --> 00:16:59,230
+الكالسيوم منه من خلال طنشية calcium urate فبطلع
+
+185
+00:16:59,230 --> 00:17:05,910
+الكالسيوماللي طبعا باسي ال glycerol في وجود
+
+186
+00:17:05,910 --> 00:17:13,690
+الكالسيوم بتنشط لإنزيم اسمه protein kinase C و
+
+187
+00:17:13,690 --> 00:17:16,910
+اللي ايضا هذا ال protein متى ما اتكرن على طول
+
+188
+00:17:16,910 --> 00:17:19,730
+بيعمل phosphorylation هو عبارة عن phosphorylated
+
+189
+00:17:19,730 --> 00:17:23,530
+protein بيعمل اللي هو ال catalyst بيعمل
+
+190
+00:17:23,530 --> 00:17:28,870
+phosphorylationلـ Cellular Protein وطبعا متمصار في
+
+191
+00:17:28,870 --> 00:17:33,030
+Phosphorylation يعني في Action يعني تأثير الهرمون
+
+192
+00:17:33,030 --> 00:17:38,530
+اللي مسيك بالإيش بالريسيبتور بده يتفعل من خلال
+
+193
+00:17:38,530 --> 00:17:42,870
+تكوين البروتين كينيسي اللي هو زي ما انتوا شايفين
+
+194
+00:17:42,870 --> 00:17:47,690
+حوالي تمن خطوات متتالية نعيدها على السريع الهرمون
+
+195
+00:17:47,690 --> 00:17:53,260
+بمسك بريسيبتور بنشطهومتما اتنشط الـ Receptor بيمسك
+
+196
+00:17:53,260 --> 00:17:57,000
+ببروتين اسمه الـ GAC Protein في Cell Membrane هو
+
+197
+00:17:57,000 --> 00:18:04,480
+عبارة عن Tripeptide-Tripolipeptide Protein محصلة
+
+198
+00:18:04,480 --> 00:18:09,440
+ارتباطه بالبروتين هذا الـ Receptor هو حاجتين انه
+
+199
+00:18:09,440 --> 00:18:12,900
+بيصير Dissociation لـ Alpha, Beta, Gamma الـ Alpha
+
+200
+00:18:12,900 --> 00:18:19,550
+طبعا مرتبط بالـ GTP اللي طلعوالـ Meta والجامعة
+
+201
+00:18:19,550 --> 00:18:25,770
+بيروحوا ومنشطين الـ Phospholipase-C انزايم ال
+
+202
+00:18:25,770 --> 00:18:30,650
+Phospholipase-C انزايم متى ما اتكون بيروحوا
+
+203
+00:18:30,650 --> 00:18:36,950
+ومنشطلنا شغلتين مكوّن لنا ال-diacylglycerol و ال
+
+204
+00:18:36,950 --> 00:18:40,310
+-nacitol triphosphate لأن ال-nacitol triphosphate
+
+205
+00:18:40,310 --> 00:18:43,030
+بيخش على الـ endoplasmic reticulum بيطلع لنا
+
+206
+00:18:43,030 --> 00:18:43,770
+الكالسيوم
+
+207
+00:18:46,300 --> 00:18:50,260
+في وجود الكالسيوم داياسيليكليسرول بيتحول إلى
+
+208
+00:18:50,260 --> 00:18:55,500
+بروتين كيناسي وهذا عبارة عن فاسفرا related بروتين
+
+209
+00:18:55,500 --> 00:19:00,460
+بيعمل فاسفرا لالذي هو cellular protein وبالتالي
+
+210
+00:19:00,460 --> 00:19:05,100
+بيصير فيه action هذا هو ال role of endocytal
+
+211
+00:19:05,100 --> 00:19:10,780
+triphosphate in intracellular signaling في
+
+212
+00:19:10,780 --> 00:19:15,760
+ال CD4 شو اللي بيصير؟كـ Intracellular event or
+
+213
+00:19:15,760 --> 00:19:20,100
+signaling طبعاً زي ما انتوا شايفين هي ارتبط الـ
+
+214
+00:19:20,100 --> 00:19:25,260
+TCR من البداية بالـ Antigenic Peptide اللي ممسوقة
+
+215
+00:19:25,260 --> 00:19:35,320
+بالـ MHC Molecule و إجا الـ CD4 ماشي مسك أيضا بالـ
+
+216
+00:19:35,320 --> 00:19:38,990
+MHC Moleculeيبقى الـ TCR ماسك في الـ Antigenic
+
+217
+00:19:38,990 --> 00:19:43,830
+Peptide و CD4 ماسك في الـ MSC مليكيون طبعا إيش فيه
+
+218
+00:19:43,830 --> 00:19:49,730
+موجود جنب الـ TCR و ال MSC مليكيون؟ قالوا فيه CD3
+
+219
+00:19:49,730 --> 00:19:53,270
+و Zeta اللي هيعملوا Signal Transduction شو
+
+220
+00:19:53,270 --> 00:19:58,310
+هيعملوه؟ طبعا ناشننسان و CD3 و Zeta فيها ده هو
+
+221
+00:19:58,310 --> 00:20:03,950
+المربعات اللي موجودة عبرا عن اللي هو ITAM ماشي
+
+222
+00:20:04,540 --> 00:20:13,400
+عبارة عن اللي هو molecule الفسفرة طيب شو بيصير في
+
+223
+00:20:13,400 --> 00:20:18,940
+هذه الحالة؟ كانوا بمجرد مثلها phosphorylation عادة
+
+224
+00:20:18,940 --> 00:20:25,910
+بيصير من خلال اللي هو ال LCK والفن واحد صاربتابع
+
+225
+00:20:25,910 --> 00:20:28,550
+ال sar family واحد تابع ال sar family التانى
+
+226
+00:20:28,550 --> 00:20:33,050
+بيعملوا phosphorylation اللى هو ال ITAM بتمت فسفر
+
+227
+00:20:33,050 --> 00:20:36,710
+ودول بيفسفروا طبعا ال phosphorylation او ITAM
+
+228
+00:20:36,710 --> 00:20:47,310
+بيشكل مرساة بيشكل اللى هو قاعدة بتنشط عليها اللى
+
+229
+00:20:47,310 --> 00:20:53,360
+هو الزعب بروتينوزي بروتين متمت فسفر بروحه هو
+
+230
+00:20:53,360 --> 00:20:57,740
+بنشطلنا adaptor بروتين و ال adaptor بروتين إذا
+
+231
+00:20:57,740 --> 00:21:02,240
+اتنشط على طول بنشطلنا اللي هو phosphate لينوسيتول
+
+232
+00:21:02,240 --> 00:21:08,600
+بي فوسفيت هو يبدينا اللي هو فوسفو بنشط الفوسفول
+
+233
+00:21:08,600 --> 00:21:14,470
+Ibz2فيزولاي باس C سوري اللي هيعطينا ينشطلنا الراس
+
+234
+00:21:14,470 --> 00:21:18,650
+والراك ويكوّنه ترايفوسفيت وضايا سيلينكلاسيريد
+
+235
+00:21:18,650 --> 00:21:22,770
+وطبعا هذه هتنشطلنا transcriptional factor وهذه
+
+236
+00:21:22,770 --> 00:21:35,380
+وهتنشط الانقف ككعبة B وAT وAB1و هدول بيخشوا على ال
+
+237
+00:21:35,380 --> 00:21:39,320
+DNA على ال nucleus و هناك برضه بيعملوا
+
+238
+00:21:39,320 --> 00:21:46,080
+transcription ل cytokine و cytokine ايه طبعا بين
+
+239
+00:21:46,080 --> 00:21:49,080
+أشطة الجينية اللي بتطلع لنا cytokine و cytokine
+
+240
+00:21:49,080 --> 00:21:54,220
+receptorهذه هي تسلسل الأحداث اللي ماتصير في ال CD4
+
+241
+00:21:54,220 --> 00:21:58,760
+انه بمجرد ما يصير فيه رابطة فيه تنشيط التنشيط يتبع
+
+242
+00:21:58,760 --> 00:22:02,100
+فاسفرا والفاسفرا بتنشط adaptor البروتين وال
+
+243
+00:22:02,100 --> 00:22:05,660
+adaptor البروتين بتنشطنا الميكانزم اللي توشر احنا
+
+244
+00:22:05,660 --> 00:22:10,110
+تبع ال inositol و ال biphosphateactivation طبعا
+
+245
+00:22:10,110 --> 00:22:14,050
+هذا بيتبع و تنشيط ل phospholipase enzyme و ال
+
+246
+00:22:14,050 --> 00:22:18,330
+phospholipase enzyme محصلة نشاطه بيشتغل على اللي
+
+247
+00:22:18,330 --> 00:22:21,250
+هو ال biphosphate و بيحوله ل triphosphate و
+
+248
+00:22:21,250 --> 00:22:25,450
+diacylglycerol و طبعا بيصير في activation ل
+
+249
+00:22:25,450 --> 00:22:29,010
+transcriptional factor بتروح ال nucleus بتنشط
+
+250
+00:22:29,010 --> 00:22:32,450
+الجينات اللي مسؤولة عن تصنيع ال cytokine و ال
+
+251
+00:22:32,450 --> 00:22:33,370
+cytokine receptor
+
+252
+00:22:36,440 --> 00:22:40,240
+وهذا الكلام هي مكتوب بالتفصيل binding of a C class
+
+253
+00:22:40,240 --> 00:22:48,480
+2 molecule مع ال TCR ماشي بينقلنا signal طبعا من
+
+254
+00:22:48,480 --> 00:22:56,180
+خلال الارتباط ب Zeta CD3 and Zeta molecule وطبعا
+
+255
+00:22:56,180 --> 00:23:00,600
+الرابط التاني ان هذي ال signal can cross the
+
+256
+00:23:00,600 --> 00:23:05,170
+membraneوش بتعمل في الممبرين تعمل اما aggregation
+
+257
+00:23:05,170 --> 00:23:14,630
+لل ال TCR من جوا او conformational changes في
+
+258
+00:23:14,630 --> 00:23:20,970
+Transmembrane region of TCR لتغير شكله بده يتنشط
+
+259
+00:23:20,970 --> 00:23:26,490
+تيروزين كاينيز system ويبدأ يضيف phosphate group
+
+260
+00:23:26,490 --> 00:23:31,990
+لل تيروزين molecule اللى موجودةطبعا عندنا هنشوفها
+
+261
+00:23:31,990 --> 00:23:38,290
+تاريز الكنيز associated with CD3Z هو مبارحة عن
+
+262
+00:23:38,290 --> 00:23:47,690
+الفن و ال SRC طبعا
+
+263
+00:23:47,690 --> 00:23:53,730
+هدولة ال LCK تابعة
+
+264
+00:23:53,730 --> 00:24:01,060
+لل سارك family و الفن تابع لل سارس familyهذا هما
+
+265
+00:24:01,060 --> 00:24:07,360
+التنين بتنشطوا وبيعملوا clustering طبعا بنشطوا
+
+266
+00:24:07,360 --> 00:24:13,920
+اللي هو ال ITM region بيعملونهم phosphorylation
+
+267
+00:24:14,610 --> 00:24:19,370
+وطبعا ما تمت فسفره دول بيمثلوا قاعدة بيتنشط عليها
+
+268
+00:24:19,370 --> 00:24:26,030
+another tyrosine كينيسة منها ZAP 70 و ZAP 70 أيضا
+
+269
+00:24:26,030 --> 00:24:30,130
+بيعمل phosphorylation ل adaptor بلوتين عبارة عن
+
+270
+00:24:30,130 --> 00:24:35,710
+اللات ال SLP 76 على سطح ال cell membrane و بيكونوا
+
+271
+00:24:35,710 --> 00:24:40,390
+complex بيعمل signal transduction و بيكون ال
+
+272
+00:24:40,390 --> 00:24:45,070
+immunological synapseالان شو بيحصل في الـ
+
+273
+00:24:45,070 --> 00:24:48,310
+intracellular signaling؟ قلنا لأ ده اتر بروتين
+
+274
+00:24:48,310 --> 00:24:52,370
+ماتم اتنشط ماشي و الـ activate intracellular
+
+275
+00:24:52,370 --> 00:24:56,510
+signaling كيف؟ جالو they bind with phospholipase-C
+
+276
+00:24:56,510 --> 00:25:00,150
+و بيعملوا phosphorylation من خلال الـ
+
+277
+00:25:00,150 --> 00:25:07,470
+phosphorylation بالذابق بروتين و طبعا بيحول
+
+278
+00:25:07,470 --> 00:25:19,540
+الفوسفة دي بي فوسفيتالى الـ Diacylglycerol وطبعا
+
+279
+00:25:19,540 --> 00:25:23,180
+هذا بنشر الـ transcriptional factor اللى سمناه NF
+
+280
+00:25:23,180 --> 00:25:31,620
+-Kappa-B اتفقنا ان الـ ITAM هو عبارة عن immune
+
+281
+00:25:31,620 --> 00:25:39,980
+receptor thyrosine based activation motif اختصار
+
+282
+00:25:39,980 --> 00:25:47,800
+لمين؟لـ ITAM Immunoreceptor Tyrosine Based
+
+283
+00:25:47,800 --> 00:25:54,520
+Activation Motif طبعا
+
+284
+00:25:54,520 --> 00:25:58,220
+دي سهل طبعا زي ما انتوا شايفين اتفقنا على انه نفس
+
+285
+00:25:58,220 --> 00:26:02,740
+الحكاية انه بيصير فيه تنشيط لـ Triphosphate اللي
+
+286
+00:26:02,740 --> 00:26:06,560
+بتخش على الـ Endoplasmic reticulum و بتنشيط الـ
+
+287
+00:26:06,560 --> 00:26:09,720
+Calcineurinوهذا بينشط اللي هو another
+
+288
+00:26:09,720 --> 00:26:14,680
+transcriptional factor اللي هو NFAT فصار في عندنا
+
+289
+00:26:14,680 --> 00:26:18,080
+two transcriptional factors بتنشط وهذا الميكانيزم
+
+290
+00:26:18,080 --> 00:26:24,800
+مهم جدا في حالة اللي هو ال transplantation لأنه في
+
+291
+00:26:24,800 --> 00:26:30,100
+دوة اسمها Cyclosporin A بيعمل inhibit اللي هو
+
+292
+00:26:30,100 --> 00:26:33,720
+graft rejection كل اللي بيعملونه بتبط بالcalcium
+
+293
+00:26:33,720 --> 00:26:37,720
+urineمشي لما بتطلع من ال endoplasmic reticulum
+
+294
+00:26:37,720 --> 00:26:46,960
+وبالتالي بيوقف نشاط ت سلق وبالتالي مافيش graph
+
+295
+00:26:46,960 --> 00:26:52,680
+rejection هو بيأخر ال graph rejection الراس
+
+296
+00:26:52,680 --> 00:26:56,860
+والراك اللي تواكن عليهم هم بيرع نجوانيزين يكليوتا
+
+297
+00:26:56,860 --> 00:27:00,680
+اتباينزين بلوتين شو بيعملوا جاله بنشطه سايتو
+
+298
+00:27:00,680 --> 00:27:06,790
+بلازميك كاسكيت او ميترجنيوم اتنشط المعاه بكاينيز
+
+299
+00:27:06,790 --> 00:27:09,810
+هو عبارة عن بروتين بيؤدي الى تنشيط لتقوى
+
+300
+00:27:09,810 --> 00:27:12,770
+transcription of another transcriptional factor
+
+301
+00:27:12,770 --> 00:27:17,050
+سموه AB1 صار فى عندنا تلاتة transcriptional factor
+
+302
+00:27:17,050 --> 00:27:22,270
+دولة بينشطوا الجينات اللى مسؤولة عن تصنيع اللى هو
+
+303
+00:27:22,270 --> 00:27:26,590
+اولا بتكبر الخلية تطلعنا IL-2 عبارة عن cytokine
+
+304
+00:27:26,590 --> 00:27:30,370
+وده عبارة عن growth factor الهو receptor على سطح
+
+305
+00:27:30,370 --> 00:27:34,210
+الخلية نفسهاالتي هي الـ T-Lymphocyte وبالتالي
+
+306
+00:27:34,210 --> 00:27:38,710
+بيزيد نشاطها وعلى السطح وممكن تنشط خلايا أخرى من
+
+307
+00:27:38,710 --> 00:27:42,150
+الـ T-Lymphocyte يعني can act on the same cell or
+
+308
+00:27:42,150 --> 00:27:46,250
+different cell او on different cell وهذا هي
+
+309
+00:27:46,250 --> 00:27:53,610
+الارتباط صار تنشطت الخليه وتنشطت الجينات المسؤولة
+
+310
+00:27:53,610 --> 00:27:58,310
+عن تصنيح IL-2 في IL-2 بيروحوا ومنشط ليش هذا هو
+
+311
+00:27:58,310 --> 00:28:03,690
+شغال على CD25اللي هو عبارة عن IL-2 ريسبتور وهذا
+
+312
+00:28:03,690 --> 00:28:09,510
+بيتكوّن من polypeptide chain فبروحوا يصفطوه متى
+
+313
+00:28:09,510 --> 00:28:14,090
+متصفطوا بيصير في proliferation للخلية وده وصار فيه
+
+314
+00:28:14,090 --> 00:28:18,430
+clonal expansion
+
+315
+00:28:20,910 --> 00:28:24,390
+هناك طرق تانية لتنشيط تليمفوسايتها في عن طريق ال
+
+316
+00:28:24,390 --> 00:28:26,950
+super antigen وقلنا ان ال super antigen كان اكتفت
+
+317
+00:28:26,950 --> 00:28:31,170
+ده cell directly من برا لبرا بخلال ارتباطه من برا
+
+318
+00:28:31,170 --> 00:28:37,050
+لبرا بال MHC موليكيول ميتوجين another activator زي
+
+319
+00:28:37,050 --> 00:28:41,810
+الكون الكافرين والفيتوهيماجلوتينين وكويد ميتوجين
+
+320
+00:28:41,810 --> 00:28:46,510
+كلهم عبارة عن ايش؟ عبارة عن لكتن موليكيول ايضا
+
+321
+00:28:46,510 --> 00:28:49,790
+بيشتغلوا as mitogen لتليمفوسايت
+
+322
+00:28:51,390 --> 00:28:55,710
+حاجة تلتة انتي CD3 انتي بادي أيضا ارتباط ال CD3
+
+323
+00:28:55,710 --> 00:28:59,850
+بالانتي بادي بالانتي دوت تبعه بيؤدي الى ال
+
+324
+00:28:59,850 --> 00:29:03,630
+activation of T lymphocyte طيب هى ال T lymphocyte
+
+325
+00:29:03,630 --> 00:29:11,270
+اكم subset خلينا نشوف ياله CD4 can be activated
+
+326
+00:29:11,270 --> 00:29:15,330
+into four different subset four different subset
+
+327
+00:29:15,330 --> 00:29:19,250
+ماشي يبقى CD4 positive
+
+328
+00:29:21,160 --> 00:29:28,720
+انتقلت إلى أربع مجموعات مختلفة باعتبار موجودة في
+
+329
+00:29:28,720 --> 00:29:32,920
+مجموعات مختلفة في مجموعات مختلفة في مجموعات مختلفة
+
+330
+00:29:32,920 --> 00:29:33,820
+في مجموعات مختلفة في مجموعات مختلفة في مجموعات
+
+331
+00:29:33,820 --> 00:29:34,560
+مختلفة في مجموعات مختلفة في مجموعات مختلفة في
+
+332
+00:29:34,560 --> 00:29:35,140
+مجموعات مختلفة في مجموعات مختلفة في مجموعات مختلفة
+
+333
+00:29:35,140 --> 00:29:35,200
+في مجموعات مختلفة في مجموعات مختلفة في مجموعات
+
+334
+00:29:35,200 --> 00:29:38,560
+مجموعات مختلفة في مجموعات
+
+335
+00:29:38,560 --> 00:29:42,760
+مختلفة في مجموعات مختلفة
+
+336
+00:29:42,760 --> 00:29:48,400
+في مجموعات م
+
+337
+00:29:48,970 --> 00:29:52,970
+ماشي فتيه البر واحد اللي بتفرزنا gamma interferon
+
+338
+00:29:52,970 --> 00:29:59,630
+و IL-2 و طبعا هذه بتنشطلنا macrophage أنكسي ال CDA
+
+339
+00:29:59,630 --> 00:30:04,390
+تيلينفسايز وبعد مرات بتطلع تشترع ال B-Lymphocyte
+
+340
+00:30:04,390 --> 00:30:09,990
+تطلع فقط IGG3 طبعا في هذه الحلقة شو ال major
+
+341
+00:30:09,990 --> 00:30:14,030
+effect of function؟ طبعا cell mediated immunity
+
+342
+00:30:14,030 --> 00:30:17,430
+اللي من خلالها بنقتل ال virus و ال bacterial
+
+343
+00:30:18,470 --> 00:30:25,650
+Infected Hossel يعني Intra Cellular Organism كمان
+
+344
+00:30:25,650 --> 00:30:31,750
+CD4 ممكن تتحول الى T البرطوم اللى بتفرز لنا IL-4
+
+345
+00:30:31,750 --> 00:30:38,630
+IL-5 IL-13 وطبعا في هذه الحالة اللى تشتغل على ال a
+
+346
+00:30:38,630 --> 00:30:43,950
+-xenophil و ال b-cell a-xenophil عشان تقتل ايش ال
+
+347
+00:30:43,950 --> 00:30:49,730
+worms و ال B lymphocytesبتطلعنا Antibody من نوع
+
+348
+00:30:49,730 --> 00:30:57,870
+IgE و IgG4 غالباً ال IgE for الهيرجين و IgG4 أيضاً
+
+349
+00:30:57,870 --> 00:31:04,730
+for antiparasitic infection T-Helper-17 another
+
+350
+00:31:04,730 --> 00:31:12,170
+subset of CD4 اللي بتطلعنا IL-17 و IL-22و طبعاً
+
+351
+00:31:12,170 --> 00:31:15,030
+هذه بتشتل على نيوترافيل و Epithelial cell و دي
+
+352
+00:31:15,030 --> 00:31:20,910
+عبارة عن Pro-inflammatory cell ال response تبعها
+
+353
+00:31:20,910 --> 00:31:25,250
+بيكون في حالة الفنجاي و لوجود Extracellular
+
+354
+00:31:25,250 --> 00:31:33,250
+بكتيريا كمان ال CD4 ممكن تكون عبارة عن Treg و Treg
+
+355
+00:31:33,250 --> 00:31:36,910
+من اسمها reg يعني regulatory بتشتل على other
+
+356
+00:31:36,910 --> 00:31:42,300
+lymphocytes و بتعملهم inhibitionيعني متوقف شغله من
+
+357
+00:31:42,300 --> 00:31:45,600
+خلال إيش؟ من خلال إفراز الـ Transform Growth
+
+358
+00:31:45,600 --> 00:31:50,280
+Factor Beta-Cytokine والـ IL-10 وبالتالي بتعمل
+
+359
+00:31:50,280 --> 00:31:53,140
+Inhibition للـ Function of Other Sets of T
+
+360
+00:31:53,140 --> 00:31:57,460
+-Lymphocytes and Non-T-Lymphocytes وفي عندنا four
+
+361
+00:31:57,460 --> 00:32:03,380
+subset of CD4 طبعا
+
+362
+00:32:03,380 --> 00:32:05,800
+الـ T-Lipar واحد وT-Lipar اتنين اللي طبعا حكيناهم
+
+363
+00:32:05,800 --> 00:32:12,240
+جايين من T-Lipar Mode اللي هي في الأساسماشي على
+
+364
+00:32:12,240 --> 00:32:16,720
+تيهيلبرت واحد synthesis IL-2 و Gamma Interferon و
+
+365
+00:32:16,720 --> 00:32:19,420
+tumor necrosis factor beta اللي هو ال lymphotoxin
+
+366
+00:32:19,420 --> 00:32:24,320
+و تيهيلبرت واحد cytokine اللي بيطلعوا منها ايضا
+
+367
+00:32:24,320 --> 00:32:28,360
+بيعملوا cell mediated immunity وبالتالي بنشته CD8
+
+368
+00:32:28,360 --> 00:32:35,300
+و NK cell and macrophage طب what about تيهيلبرت
+
+369
+00:32:35,300 --> 00:32:42,310
+two؟الخيص يتطلع إلى الـ IL-4, IL-5 و IL-13. طبعاً
+
+370
+00:32:42,310 --> 00:32:48,450
+هذه ستشغّل بيسل البرامج التي تتغير إلى IGE و IGE-4
+
+371
+00:32:48,450 --> 00:32:54,110
+وفي حالة وجود ال IL-5 يمكن أن تشغّل الإيزينوفيل.
+
+372
+00:32:54,590 --> 00:32:59,650
+فالخيص ليه الجدول التواعد تلقيا؟ Virus and
+
+373
+00:32:59,650 --> 00:33:06,760
+Bacteriaبتحبز وجود او تنشيط او تحفيز تيهيلبر واحد
+
+374
+00:33:06,760 --> 00:33:12,960
+بينما الاليرجين والبراسايتز بدهم اللي هو تيهيلبر 2
+
+375
+00:33:12,960 --> 00:33:18,420
+الـ cytokine اللي طالع من تيهيلبر واحد تعمل انهيبش
+
+376
+00:33:18,420 --> 00:33:23,280
+لفنكشن تيهيلبر 2 واللي طالع من تيهيلبر 2 تعمل
+
+377
+00:33:23,280 --> 00:33:33,330
+انهيبش ليش لتيهيلبر 1T-L-B-R-17 سبسيط تطلعنا آيال
+
+378
+00:33:33,330 --> 00:33:37,790
+17 family cytokine وده عبارة عن pro-inflammatory
+
+379
+00:33:37,790 --> 00:33:43,990
+cytokine موجودة في different cell types أيضا they
+
+380
+00:33:43,990 --> 00:33:49,870
+respond to fungi and some extracellular bacteria T
+
+381
+00:33:49,870 --> 00:33:55,410
+ring أخر واحدة بتعمل inhibition لother cell
+
+382
+00:33:55,410 --> 00:33:56,750
+function
+
+383
+00:34:00,160 --> 00:34:08,000
+هذا سيكون إدعى بـ Cell-to-Cell Contact أو بـ
+
+384
+00:34:08,000 --> 00:34:10,600
+Synthesis of Certain Inhibitory Cytokines مثلًا
+
+385
+00:34:10,600 --> 00:34:15,020
+Transforming Growth Factor Beta و IL-10 الـ
+
+386
+00:34:15,020 --> 00:34:22,160
+Cytokine يدفع الاتصال إلى مجموعة خاصة من الـ CD4 T
+
+387
+00:34:22,160 --> 00:34:26,740
+Cell كما رأينا في الفيجارة كما سنرى إن شاء الله
+
+388
+00:34:27,150 --> 00:34:32,010
+يبقى من يلعب دور في تحديد نوع ال site ال CD4 اللي
+
+389
+00:34:32,010 --> 00:34:39,550
+بدها تطلع هي ال cytokine فزي
+
+390
+00:34:39,550 --> 00:34:44,310
+ما انتوا شايفين في حالة وجود ده يعني عندى CD4
+
+391
+00:34:44,310 --> 00:34:48,230
+سموها T helper node في حالة وجود IL-12 sorry
+
+392
+00:34:48,230 --> 00:34:52,830
+بتتمشط اللي هو T helper one في حالة وجود IL-4
+
+393
+00:34:52,830 --> 00:34:56,290
+بتتمشط T helper twoفي حالة وجود Transform Growth
+
+394
+00:34:56,290 --> 00:35:00,110
+Factor Beta واحد وعشرين آيال واحد وعشرين تطلع
+
+395
+00:35:00,110 --> 00:35:05,590
+تهيلبر سبنتين في حالة وجود Transform Growth Factor
+
+396
+00:35:05,590 --> 00:35:07,910
+Beta alone تطلع تهيلبر سبنتين تطلع تهيلبر سبنتين
+
+397
+00:35:07,910 --> 00:35:22,590
+تطلع تهيلبر سبنتين تطلع تهيلبر سبنتين
+
+398
+00:35:23,630 --> 00:35:30,390
+T117 لغاية لان ما لم تسجل انه انهيبوتري اكشن لها
+
+399
+00:35:30,390 --> 00:35:35,610
+تحول ال truth factor بيتا بعمل انهيبش لكل ال other
+
+400
+00:35:35,610 --> 00:35:42,850
+T lymphocytes cytokine synthesized by cells of
+
+401
+00:35:42,850 --> 00:35:48,310
+innate immune response immuneThis will influence
+
+402
+00:35:48,310 --> 00:35:52,350
+the differentiation to specific subset of CD4 يعني
+
+403
+00:35:52,350 --> 00:35:55,690
+الـ cytokine اللي طلعت زي ما أولا شوفناها من
+
+404
+00:35:55,690 --> 00:36:02,730
+الخلايا اللي هي الـ innate immune cell هي من يحدد
+
+405
+00:36:02,730 --> 00:36:10,090
+نوع CD4 subset اللي بده يتكون وخصوصا
+
+406
+00:36:11,200 --> 00:36:15,000
+اللي هو الـ immune cell الـ innate immune cell زي
+
+407
+00:36:15,000 --> 00:36:18,400
+الـdendritic cell نخص بالذكر اللي هو الـdendritic
+
+408
+00:36:18,400 --> 00:36:21,820
+cellالخلايا الانتقالية هي الخلايا الانتقالية هي
+
+409
+00:36:21,820 --> 00:36:29,280
+الخلايا الانتقالية هي الخلايا
+
+410
+00:36:29,280 --> 00:36:32,280
+الانتقالية هي الخلايا الانتقالية هي الخلايا
+
+411
+00:36:32,280 --> 00:36:33,200
+الانتقالية هي الخلايا الانتقالية هي الخلايا
+
+412
+00:36:33,200 --> 00:36:34,900
+الانتقالية هي الخلايا الانتقالية هي الخلايا
+
+413
+00:36:34,900 --> 00:36:38,180
+الانتقالية هي الخلايا الانتقالية هي الخلايا
+
+414
+00:36:38,180 --> 00:36:40,000
+الانتقالية هي الخلايا الانتقالية هي الخلايا
+
+415
+00:36:40,000 --> 00:36:41,400
+الانتقالية هي الخلايا الانتقالية هي الخلايا
+
+416
+00:36:41,400 --> 00:36:44,000
+الانتقالية هي الخلايا الانتقالية هي الخلايا
+
+417
+00:36:44,000 --> 00:36:47,080
+الانتقالية
+
+418
+00:36:47,080 --> 00:36:49,480
+هي الخلايا الانتقالية هي الخلايا الانتقالية هي
+
+419
+00:36:49,480 --> 00:36:53,590
+الخلاياماشي بال third signal قلنا بدنا two signal
+
+420
+00:36:53,590 --> 00:36:58,210
+عشان نشرة ال T cell و ال role of cytokine في هذه
+
+421
+00:36:58,210 --> 00:37:04,590
+المرحلة بيعتبر اللي هو ال third signal اللي تلعب
+
+422
+00:37:04,590 --> 00:37:16,230
+دور كبير in addition to signal واحد و اتنين طبعا
+
+423
+00:37:16,230 --> 00:37:21,430
+في cooperation between T و Bطبعا كلكم بدى عرفوا ان
+
+424
+00:37:21,430 --> 00:37:25,370
+ال T cell كان ال B cell sorry can act as antigen
+
+425
+00:37:25,370 --> 00:37:31,050
+presenting cell هي على سطحة PCR مسك في antigen
+
+426
+00:37:31,050 --> 00:37:36,590
+أخدته وعملت له processing وطلعته مرتبط بAMSG class
+
+427
+00:37:36,590 --> 00:37:42,610
+2 موليكيول على سطحة أداية this كان يعني بعد ذلك
+
+428
+00:37:42,610 --> 00:37:50,150
+this cell كان traffic ماشيto اللي هو T cell area
+
+429
+00:37:50,150 --> 00:37:54,770
+وبتقدم ال antigen ل CD4 T lymphocyte يبقى في
+
+430
+00:37:54,770 --> 00:37:59,650
+cooperation هو cooperation between T and B
+
+431
+00:37:59,650 --> 00:38:05,310
+lymphocytes ولاحظوا ال response اللي بيصير ماشي ال
+
+432
+00:38:05,310 --> 00:38:10,350
+response اللي بيصير في حالة ال T dependent antigen
+
+433
+00:38:10,350 --> 00:38:12,430
+في أنها antigen
+
+434
+00:38:19,960 --> 00:38:25,620
+والتاني هذا هو مبين واحد اتعرفت عليه T-lymphocyte
+
+435
+00:38:25,620 --> 00:38:32,980
+وبيعتبر T cell antigen أيه اتاخد ونعمله processing
+
+436
+00:38:32,980 --> 00:38:36,620
+by antigen presenting cell واتقدم لمين؟ لـ T
+
+437
+00:38:36,620 --> 00:38:43,980
+-helper cell والتاني هذا هو ال Epitope C اللي هو
+
+438
+00:38:43,980 --> 00:38:49,290
+is specific for B lymphocyteماشي بيصير فيه new
+
+439
+00:38:49,290 --> 00:38:52,210
+response بس شرط أساسي ان ال two epitopes يكونوا
+
+440
+00:38:52,210 --> 00:38:58,290
+the same antigen ماشي هذه بتتنشط و بتنشط لل
+
+441
+00:38:58,290 --> 00:39:04,030
+feeling for sides اللي بتطلع antibody ماشي و
+
+442
+00:39:04,030 --> 00:39:13,030
+بتخلصنا من ال antigen مرة تانية بنذكركوا بال co ال
+
+443
+00:39:13,030 --> 00:39:17,720
+interaction between اللي هوالـ T-cell و الـ B-cell
+
+444
+00:39:17,720 --> 00:39:22,640
+كل
+
+445
+00:39:22,640 --> 00:39:26,600
+البروتين يعتمد على الـ Thymus في حالة بروتين تهو
+
+446
+00:39:26,600 --> 00:39:32,200
+اللي شرحناه Thymus dependent antigen لأنهم يحتاجوا
+
+447
+00:39:32,200 --> 00:39:38,620
+الـ CD4 T-cell للمساعدة للمساعدة أو التعاون مع الـ
+
+448
+00:39:38,620 --> 00:39:42,920
+B-cell لتنسيق الانتيبادي يبقى هو ال T dependent
+
+449
+00:39:42,920 --> 00:39:47,850
+antigen أوT-dependent immune response اللي بيحصل
+
+450
+00:39:47,850 --> 00:39:52,090
+في cooperation بين الـB والـT-Lymphocytes ليش؟
+
+451
+00:39:52,090 --> 00:39:56,170
+لأنه مطلوب مساعدة الـT-Helper Cell في تنشيط الـB
+
+452
+00:39:56,170 --> 00:40:02,810
+-Lymphocyte في تكوين الـAntibody The set of CD4
+
+453
+00:40:02,810 --> 00:40:08,130
+cell that participate in antibody response بتسمى
+
+454
+00:40:08,130 --> 00:40:15,060
+as Helper T-Lymphocytes نوع الـCD4اللي بيساعد في
+
+455
+00:40:15,060 --> 00:40:19,380
+تكوين الـ antibody بيسموها T helper cell طبعا T و
+
+456
+00:40:19,380 --> 00:40:22,520
+B cell must be specific for a particular antigen
+
+457
+00:40:22,520 --> 00:40:26,560
+والابيتوب مرة تانية must be part of the same
+
+458
+00:40:26,560 --> 00:40:32,100
+protein sequence T
+
+459
+00:40:32,100 --> 00:40:34,400
+helper cell and B cell may respond to different
+
+460
+00:40:34,400 --> 00:40:39,780
+epitope in the antigen طبعا ال T helper cell اللي
+
+461
+00:40:39,780 --> 00:40:44,360
+قلنا لل internal epitopeالذي يتم إجراءه خلال عملية
+
+462
+00:40:44,360 --> 00:40:44,740
+عملية عملية عملية عملية عملية عملية عملية عملية
+
+463
+00:40:44,740 --> 00:40:56,680
+عملية عملية عملية عملية عملية
+
+464
+00:41:00,730 --> 00:41:05,390
+التعرف المشترك في هذه الحالة B cell can act as
+
+465
+00:41:05,390 --> 00:41:14,910
+anti-representing cell for CD4-T cell 10.6 ل 10.7
+
+466
+00:41:14,910 --> 00:41:17,990
+بيبين ان ال interaction between B and T lymphocyte
+
+467
+00:41:18,450 --> 00:41:24,710
+وهي مهمة جدًا لإيقاف الـ B وT لنفسيات.ولا ننسى أن
+
+468
+00:41:24,710 --> 00:41:29,350
+هناك
+
+469
+00:41:29,350 --> 00:41:33,530
+إرتباط في هذه الحالة من الـ CD4-T4-T-Ligand اللي
+
+470
+00:41:33,530 --> 00:41:41,050
+يتطلب إيقاف B-cell لتغيير IGM من IGM إلى IGG أو
+
+471
+00:41:41,050 --> 00:41:47,670
+إلى أشخاص أخرى.هذا هو إيقاف CD8.هل رأينا إيقاف T4
+
+472
+00:41:47,670 --> 00:41:53,450
+-Cell؟علاقتها بالـ B-Lymphocyte هنا في activation
+
+473
+00:41:53,450 --> 00:41:59,170
+لـ T-Cytotoxic T-Cytotoxic تتنشط بأكثر من طريقة
+
+474
+00:41:59,170 --> 00:42:04,550
+ماشي بدنا نشوف الطرق اللي بتتنشط فيها الـ T
+
+475
+00:42:04,550 --> 00:42:09,870
+-Cytotoxic جانوا إما من خلال ماشي هذه الـ T
+
+476
+00:42:09,870 --> 00:42:15,490
+-Cytotoxic على سطحها أيضا CD8 هي عبارة عن CD8 T
+
+477
+00:42:15,490 --> 00:42:20,030
+-Cell وعلى سطحها TCRهو أن الـ CD8 تسيل بتقدم
+
+478
+00:42:20,030 --> 00:42:25,050
+الانتجين إليها من أي سيل في الجسم اللي على سطحها C
+
+479
+00:42:25,050 --> 00:42:32,530
+Class 1 أو Class 2 ماشي؟ شو اللي بيصير؟ يعني في
+
+480
+00:42:32,530 --> 00:42:35,490
+البداية الـ Antigen Presenting Cell تتعرف عليها
+
+481
+00:42:35,490 --> 00:42:40,450
+الفيروس اللي بيخش و بتاخده و بتعمله Processing و
+
+482
+00:42:40,450 --> 00:42:46,070
+بتقدمه لـ CD4في نفس الوقت عندما يدخل الانتجن
+
+483
+00:42:46,070 --> 00:42:49,490
+الانتراسيلولاري الانتجن اللي هو the same انتجن
+
+484
+00:42:49,490 --> 00:42:54,850
+الانتراسيلولاري يتقدم
+
+485
+00:42:54,850 --> 00:42:55,790
+الانتجن الانتجن الانتجن الانتجن الانتجن الانتجن
+
+486
+00:42:55,790 --> 00:43:04,410
+يتقدم
+
+487
+00:43:04,410 --> 00:43:05,870
+الانتجن الانتجن الانتجن الانتجن الانتجن الانتجن
+
+488
+00:43:05,870 --> 00:43:06,050
+الانتجن الانتجن الانتجن الانتجن الانتجن الانتجن
+
+489
+00:43:06,050 --> 00:43:07,830
+الانتجن الانتجن الانتجن الانتجن الانتجن الانتجن
+
+490
+00:43:07,830 --> 00:43:10,180
+الانتجن الانتجن الانتجن الانوالحاجة التانية هو
+
+491
+00:43:10,180 --> 00:43:13,860
+اللي CD4 كانت شايف الـ Antigen مقدّم لها من الـ
+
+492
+00:43:13,860 --> 00:43:18,440
+Antigen Presenting Cell واتنشطت وطلعت IL-2 اللي IL
+
+493
+00:43:18,440 --> 00:43:21,280
+-2 مع ال .. إيش؟ ال second signal .. ال first
+
+494
+00:43:21,280 --> 00:43:25,240
+signal هذه بصير فيه activation للـ T-Cytotoxic
+
+495
+00:43:25,240 --> 00:43:29,800
+lymphocyte اللي الحاجة التانية أو ال pathway
+
+496
+00:43:29,800 --> 00:43:33,420
+التاني اللي تتنشط فيه T-Cytotoxic حاجة بيسموها
+
+497
+00:43:33,420 --> 00:43:38,860
+cross-priming شو يعني؟ قالوا واللهنفس الخلية
+
+498
+00:43:38,860 --> 00:43:45,160
+المصابة Target Cell بتلعب دور كاله اللي هو ال
+
+499
+00:43:45,160 --> 00:43:51,360
+Antigen Presenting Cell وبتقدم
+
+500
+00:43:51,360 --> 00:43:58,260
+ال Antigen مباشرة لاللي هو Class I ده هو مع CD8
+
+501
+00:43:58,260 --> 00:44:05,480
+وبتحفظ ال Co-Stimulation وبالتالي بيصير فيه نشاط
+
+502
+00:44:05,480 --> 00:44:09,080
+Lactate Cytotoxicوما حصلت نشاط التساعة
+
+503
+00:44:09,080 --> 00:44:15,580
+التوكسيكالية الموجود في هذه الصورة نشطت فعملت ايش؟
+
+504
+00:44:15,580 --> 00:44:18,840
+عملت accumulation لل granules اللي في داخلها
+
+505
+00:44:18,840 --> 00:44:26,540
+وبالتالي قتلت الخلية عملت degranulation بعد هي
+
+506
+00:44:26,540 --> 00:44:31,320
+فقتلت الخلية المصابة وبتقتلها من خلال تو ميكانيزم
+
+507
+00:44:31,320 --> 00:44:35,220
+الأولان هي ال degranulation اللي بتحتوي على ال
+
+508
+00:44:35,220 --> 00:44:41,040
+pointالـ Paraffin ووظيفته انه يكون انها channel
+
+509
+00:44:41,040 --> 00:44:46,880
+يخرج الخلية ويكون قناع وال Gravzyme اللي هو المادة
+
+510
+00:44:46,880 --> 00:44:48,920
+التانية او اللي هو ال هرمون التاني اللي يخرج عبارة
+
+511
+00:44:48,920 --> 00:44:53,900
+عن Serine Protease enzyme بخش من خلال ال channel
+
+512
+00:44:53,900 --> 00:44:57,280
+اللي اتكونت وبروحه وعمل induction ل-apoptosis
+
+513
+00:44:58,140 --> 00:45:02,500
+بالإضافة لهذا الـ mechanism في عندنا رابط على بدء
+
+514
+00:45:02,500 --> 00:45:07,180
+التتكوّن هو الـ Fuzz Ligand اللي موجود على ال ..
+
+515
+00:45:07,180 --> 00:45:13,520
+اللي هو الـ T-Cytotoxic مرتبط بالـ Fuzz اللي هو
+
+516
+00:45:13,520 --> 00:45:18,220
+الـ Death Domain Death Receptor موجود على معظم
+
+517
+00:45:18,220 --> 00:45:22,650
+خلايا جسم الإنسانفبرضه التاني بيعمل induction
+
+518
+00:45:22,650 --> 00:45:27,510
+لابوبتوسيز تتنشط لابوبتوسيز ميكانيزم وبيعمل قتل
+
+519
+00:45:27,510 --> 00:45:33,810
+ليش للخلية المصعبة بجانب خلال ال contact between T
+
+520
+00:45:33,810 --> 00:45:39,490
+cytotoxic lymphocyte و target cell بيصير فيه
+
+521
+00:45:39,490 --> 00:45:44,390
+degranulation لتو انزايم واحد اسمه perforin بيخرج
+
+522
+00:45:44,390 --> 00:45:48,650
+الخلية والتاني اسمه granzymeوبعمل طبعا
+
+523
+00:45:48,650 --> 00:45:52,030
+polyperforate channel والتاني اسمه grandzyme اللي
+
+524
+00:45:52,030 --> 00:45:56,630
+بيخش في داخل الخلية ويقتلها من خلال induction of
+
+525
+00:45:56,630 --> 00:46:01,350
+apoptosis طبعا هذا بالاضافة لارتباط الفاذ لجنت مع
+
+526
+00:46:01,350 --> 00:46:06,130
+الفاذ وده عبارة عن death receptor بيقتلنا أيضا
+
+527
+00:46:06,130 --> 00:46:12,840
+induce apoptosis ويقتل الخليةوطبعا هذا هو الكلام
+
+528
+00:46:12,840 --> 00:46:17,920
+اللي شرحناه مكتوب CD8 T lymphocyte can kill cell
+
+529
+00:46:17,920 --> 00:46:23,380
+اللي هو infected with bacteria or viruses as well
+
+530
+00:46:23,380 --> 00:46:27,580
+as transplanted foreign cell الحكينا بيصير فيه
+
+531
+00:46:27,580 --> 00:46:31,780
+ارتباط بين عبارة من C class 1 و CD8 ثم بيصير فيه
+
+532
+00:46:31,780 --> 00:46:34,640
+cytokine release زي Gamma interferon tumor
+
+533
+00:46:34,640 --> 00:46:39,980
+necrosis factor beta و IL4 وطبعا هذاالـ Activation
+
+534
+00:46:39,980 --> 00:46:45,220
+بيعمل Signal Transduction لـ Release of IL-12 و IL
+
+535
+00:46:45,220 --> 00:46:49,500
+-12 Signal بيحصل في الـ Synthesize من الـ
+
+536
+00:46:49,500 --> 00:46:51,860
+Dendritic Cell أو من الـ Innate immune response
+
+537
+00:46:51,860 --> 00:47:00,680
+وبالتالي بيحصل في Activation لـ CD8 و IUD 95
+
+538
+00:47:02,240 --> 00:47:07,900
+موجود على النايف تيليومفوسايتز دخل الانتيجنت نشطت
+
+539
+00:47:07,900 --> 00:47:16,140
+طلعت لي حاجتين فده CD 178
+
+540
+00:47:16,140 --> 00:47:24,780
+اللي هو عبارة عنCD 95 لجند اما بطلع بروتين بطبط
+
+541
+00:47:24,780 --> 00:47:31,460
+بالفاة CD 95 اما بصير في ارتباط مباشر ما بين ال CD
+
+542
+00:47:31,460 --> 00:47:37,540
+95 و لجنده و المحصلة death of cell by apoptosis
+
+543
+00:47:40,770 --> 00:47:45,310
+طبعا في ادهاج الموليكيول صارت ما بين ال .. صار في
+
+544
+00:47:45,310 --> 00:47:50,410
+contact ما بين ال T cell و ال target cell و هو
+
+545
+00:47:50,410 --> 00:47:56,330
+طبعا هذا ال contact بيتم من خلال ادهاج الموليكيول
+
+546
+00:47:56,330 --> 00:48:02,310
+على سطح الخلايا و هو اللي بقعد several hours و
+
+547
+00:48:02,310 --> 00:48:06,890
+once CD8 is activated بتطلع لنا granules و ال
+
+548
+00:48:06,890 --> 00:48:09,890
+granules هي اللي بتقتل هي برانسايتو toxic protein
+
+549
+00:48:10,690 --> 00:48:15,490
+أيضًا express CD178 اللي هو عبارة عن Fasligand
+
+550
+00:48:15,490 --> 00:48:20,330
+وطبعًا بيصير فيه قتل و القتل بيتم من خلال
+
+551
+00:48:20,330 --> 00:48:24,830
+Exocytosis فبتطلع إن ال pair-for-in والجرانزايم ال
+
+552
+00:48:24,830 --> 00:48:28,450
+pair-for-in بيعمل ring-like transmembrane channel
+
+553
+00:48:28,450 --> 00:48:33,750
+والجرانزايم هو عبارة عن serine esterase enzyme و
+
+554
+00:48:33,750 --> 00:48:37,960
+بيخش من خلال ال channel و induce apoptosisطبعا لن
+
+555
+00:48:37,960 --> 00:48:40,980
+ننسى ان هناك جرانيولهيسن جرانيولهيسن جرانيولهيسن
+
+556
+00:48:40,980 --> 00:48:42,400
+جرانيولهيسن جرانيولهيسن جرانيولهيسن جرانيولهيسن
+
+557
+00:48:42,400 --> 00:48:43,320
+جرانيولهيسن جرانيولهيسن جرانيولهيسن جرانيولهيسن
+
+558
+00:48:43,320 --> 00:48:48,140
+جرانيولهيسن جرانيولهيسن جرانيولهيسن جرانيولهيسن
+
+559
+00:48:48,140 --> 00:48:58,440
+جرانيولهيسن جرانيولهيسن جرانيولهيسن جرانيولهيسن
+
+560
+00:48:58,440 --> 00:49:01,720
+جرانيولهيسن
+
+561
+00:49:01,720 --> 00:49:08,230
+جرانيولهيسن جرانيولهيسن جرانيولهيسن جرانيطبعاً
+
+562
+00:49:08,230 --> 00:49:13,370
+عندما ينتهي الـ CD8 في البروسيس من خلال الـ
+
+563
+00:49:13,370 --> 00:49:18,310
+Detaching تنفصل و تذهب لتمسك في خلية مصابة أخرى في
+
+564
+00:49:18,310 --> 00:49:23,650
+تاريخ التسلتانية وبتعمل additional killing على الـ
+
+565
+00:49:23,650 --> 00:49:28,930
+Harness ملاحظة جدا مهمة و non-functional non
+
+566
+00:49:28,930 --> 00:49:33,870
+-infectious in antigen ماشي أو بين وسيلة killed
+
+567
+00:49:33,870 --> 00:49:40,350
+virusDo Not Trigger CD8 T Cell Response ما بنشرت
+
+568
+00:49:40,350 --> 00:49:44,770
+الـ CD8 طيب
+
+569
+00:49:44,770 --> 00:49:48,870
+نيجي لنقطة مهمة أخرى اللي هي ال conjugate vaccine
+
+570
+00:49:48,870 --> 00:49:52,470
+يعني على ال vaccine شو وظيفته هو وظيفته انه ايش
+
+571
+00:49:52,470 --> 00:49:58,810
+انه يزود ال immune response ويزود مناعتنا شو اللي
+
+572
+00:49:58,810 --> 00:50:01,950
+بيصير لعمل conjugate vaccine على ال
+
+573
+00:50:04,950 --> 00:50:09,790
+Polysaccharides هده هنشوفها مرتبطة ببروتين معين
+
+574
+00:50:09,790 --> 00:50:13,730
+أيه Conjugate Vaccine Utilize the principle of
+
+575
+00:50:13,730 --> 00:50:19,190
+linked recognition to generate TD response كل اللي
+
+576
+00:50:19,190 --> 00:50:23,610
+بيصير انه احنا من خلال Conjugate Vaccine بنعمل
+
+577
+00:50:23,610 --> 00:50:29,670
+activation for B cell من خلال TD dependent
+
+578
+00:50:29,670 --> 00:50:36,060
+response اللي تم شرحنا في فيجار 10.11وطبعاً في هذه
+
+579
+00:50:36,060 --> 00:50:41,660
+الحالة تتنشط الـ T البرسل عشان تنشطنا ال بيسل
+
+580
+00:50:41,660 --> 00:50:47,120
+تنتين بتعرفوا على two antigen on the same two
+
+581
+00:50:47,120 --> 00:50:51,100
+ابتوب sorry on the same antigen احسن مثال على هذا
+
+582
+00:50:51,100 --> 00:50:56,800
+الموضوع تيتانوسيتكسويد اللي بينعطى وبالتالي زي ما
+
+583
+00:50:56,800 --> 00:51:01,000
+قلنا بيصير فيه اللي هو T dependent action
+
+584
+00:51:01,000 --> 00:51:07,380
+بالمناسبة في ال Tسيكون هناك تغيير لـ Isotype يمكن
+
+585
+00:51:07,380 --> 00:51:14,060
+أن يكون الـ IgG يتكوّن و يتكوّن الـ Memory Cell
+
+586
+00:51:14,060 --> 00:51:17,900
+تتكوّن و هذا هو مثال الـ polysaccharide لحاله
+
+587
+00:51:17,900 --> 00:51:21,020
+قالوا أن هذا عبارة عن أنتجين كبير يعمل الـ Direct
+
+588
+00:51:21,020 --> 00:51:26,100
+T Independent اللي هو بي سيل اكتوبيشيون و هذا
+
+589
+00:51:26,100 --> 00:51:32,280
+بتطلع منها اللي هي IGFماشي و هذا بيصير في حالتين
+
+590
+00:51:32,280 --> 00:51:35,360
+لما يكون في عندنا اللي هو polysaccharide بيعدى
+
+591
+00:51:35,360 --> 00:51:39,720
+الشكل الكبير ماشي بيطلعنا IGF مباشرة بنشط الخلية
+
+592
+00:51:39,720 --> 00:51:43,540
+مباشرة او في حالة غياب ال T-Helper cell او T-cell
+
+593
+00:51:43,540 --> 00:51:47,240
+3 في حالة غياب ال T-cell لإن عند الناس اللي ما
+
+594
+00:51:47,240 --> 00:51:52,840
+عندهم T-cell this mechanism also can be activated
+
+595
+00:51:52,840 --> 00:52:03,720
+التاني هذا هو ال Epitopesموجود في T-cell انتجن
+
+596
+00:52:05,030 --> 00:52:08,130
+مرتبط ببوليساكرايد وهي عبارة عن antigen
+
+597
+00:52:08,130 --> 00:52:12,550
+بوليساكرايد بتنشط اللي هو عبارة عن B cell antigen
+
+598
+00:52:12,550 --> 00:52:19,550
+وفي internal antigen ده هو اتعرفت عليه او اتقدم لل
+
+599
+00:52:19,550 --> 00:52:24,010
+T lymphocytes فال T lymphocytes نشطت نشطت لمين؟ ال
+
+600
+00:52:24,010 --> 00:52:28,190
+B lymphocytes وصار في تكوين لها T dependent
+
+601
+00:52:28,190 --> 00:52:33,220
+response وحصلته IgGبصير فيه class switching
+
+602
+00:52:33,220 --> 00:52:39,960
+وبالتالي بدينا any other انتجن لاتنسى ان الانتجن
+
+603
+00:52:39,960 --> 00:52:46,900
+الاسبسيفيك ماشي اللي هو CD4 T البرئان بيصل need to
+
+604
+00:52:46,900 --> 00:52:51,580
+interact عشان يصير فيه generation ل antibody
+
+605
+00:52:51,580 --> 00:52:58,220
+response antibody in the Td انتجن response ال
+
+606
+00:52:58,220 --> 00:53:07,090
+Epitopesهو تي البر و بي سيل ريكوينيز ال ابتوبات
+
+607
+00:53:07,090 --> 00:53:14,190
+التي يجب أن تكون جزء من أسلحة الانتجين اللينكد
+
+608
+00:53:14,190 --> 00:53:15,530
+ريكوينيشي اللينكد ريكوينيشي اللينكد ريكوينيشي
+
+609
+00:53:15,530 --> 00:53:16,790
+اللينكد ريكوينيشي اللينكد ريكوينيشي اللينكد
+
+610
+00:53:16,790 --> 00:53:18,650
+ريكوينيشي اللينكد ريكوينيشي اللينكد ريكوينيشي
+
+611
+00:53:18,650 --> 00:53:19,530
+اللينكد ريكوينيشي اللينكد ريكوينيشي اللينكد
+
+612
+00:53:19,530 --> 00:53:19,550
+ريكوينيشي اللينكد ريكوينيشي اللينكد ريكوينيشي
+
+613
+00:53:19,550 --> 00:53:24,550
+اللينكد ريكوينيشي اللينكد
+
+614
+00:53:24,550 --> 00:53:30,110
+ريكوينيشيبتتكوّن ثم ال cost stimulatory في البداية
+
+615
+00:53:30,110 --> 00:53:37,750
+فمحصلته بيصير فيه antibody production ال CD4 D4
+
+616
+00:53:37,750 --> 00:53:42,270
+تليجند و ال ECOS and ECOS legend أيضًا هي عبارة عن
+
+617
+00:53:42,270 --> 00:53:47,950
+روابط موجودة على ال B و ال T lymphocytes بتتنشط من
+
+618
+00:53:47,950 --> 00:53:52,790
+خلالهم T cell و بتطلعنا cytokine و ال B cell
+
+619
+00:53:52,790 --> 00:53:58,290
+بتطلعنا antibodyوطبعاً الـ cytokine اللي يتصنع by
+
+620
+00:53:58,290 --> 00:54:02,750
+T cell هو من يحدد نوع ال isotype او ال antibody
+
+621
+00:54:02,750 --> 00:54:06,250
+اللي بده يطلع من ال B lymphocytes بعد ال antigen
+
+622
+00:54:06,250 --> 00:54:11,270
+زي ال polysaccharide ماشي اللي عنده that have many
+
+623
+00:54:11,270 --> 00:54:15,650
+repeating epitopes هو ال anthimus independent زي
+
+624
+00:54:15,650 --> 00:54:18,390
+ما قلنا هو بيكون antibody او بنشط B lymphocyte
+
+625
+00:54:18,390 --> 00:54:22,750
+اللي بتكون antibody مباشرة هذا ال response زي ما
+
+626
+00:54:22,750 --> 00:54:32,270
+قلنا بيصيرفي حالات الناس
+
+627
+00:54:32,270 --> 00:54:39,110
+اللي ماعندهم functional thymus أو عندهم الـ T cell
+
+628
+00:54:39,110 --> 00:54:47,650
+make response to Ti-antigen ال pathway
+
+629
+00:54:47,650 --> 00:54:52,820
+الانتراثيلنار تتعامل بالاكتفاء عن البيسلهو يشبه
+
+630
+00:54:52,820 --> 00:54:57,230
+الـ activation pathway of CD4 to CD8والـ signal
+
+631
+00:54:57,230 --> 00:55:01,850
+طبعا اللي بتصير ماشي through the antigen specific
+
+632
+00:55:01,850 --> 00:55:08,650
+PCR can be modulated positively via the B3rd core
+
+633
+00:55:08,650 --> 00:55:12,890
+receptor وnegatively for example via the low
+
+634
+00:55:12,890 --> 00:55:16,290
+affinity FC receptor يعني إما بيصير في enhancement
+
+635
+00:55:16,290 --> 00:55:22,170
+or inhibition لسيجنال وبالتالي هذا نوع من ال
+
+636
+00:55:22,170 --> 00:55:30,970
+modulation بيتحكمالـ Response اللي بيطلع بهيك
+
+637
+00:55:30,970 --> 00:55:35,710
+بنكون انهينا المحاضرة و
+
diff --git a/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/FDZuFMrrmm8_raw.json b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/FDZuFMrrmm8_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..881370b58b450304635b65dba641619ca8f1c741
--- /dev/null
+++ b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/FDZuFMrrmm8_raw.json
@@ -0,0 +1 @@
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2423, 39184, 314, 18547, 2423, 8848, 1829, 7251, 2304, 3794, 4117, 8978, 2423, 39184, 5130, 3213, 4032, 1829, 25957, 1211, 1975, 43500, 3555, 41193, 2423, 39184, 7395, 38, 9471, 568, 4032, 1829, 4587, 2407, 11703, 1829, 34892, 16758, 9566, 3660, 4032, 1829, 11622, 23328, 2423, 39184, 43414, 6531, 40335, 13672, 1829, 8608, 1829, 24401, 12984, 2423, 39184, 15549, 745, 332, 16381], "avg_logprob": -0.625000014073319, "compression_ratio": 1.3085714285714285, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 700.31, "end": 701.09, "word": "CD4", "probability": 0.68994140625}, {"start": 701.09, "end": 701.49, "word": " يتم", "probability": 0.26165771484375}, {"start": 701.49, "end": 701.81, "word": " تحريره", "probability": 0.564404296875}, {"start": 701.81, "end": 705.53, "word": " من", "probability": 0.2408447265625}, {"start": 705.53, "end": 706.33, "word": " الـ", "probability": 0.430908203125}, {"start": 706.33, "end": 707.33, "word": " TCR", "probability": 0.6864013671875}, {"start": 707.33, "end": 707.63, "word": " الذي", "probability": 0.439697265625}, {"start": 707.63, "end": 707.97, "word": " يمسك", "probability": 0.65869140625}, {"start": 707.97, "end": 708.15, "word": " في", "probability": 0.69189453125}, {"start": 708.15, "end": 708.43, "word": " الـ", "probability": 0.55078125}, {"start": 708.43, "end": 709.51, "word": " Antigen", "probability": 0.8095703125}, {"start": 709.51, "end": 710.83, "word": " ويعمل", "probability": 0.504638671875}, {"start": 710.83, "end": 712.41, "word": " ارتباط", "probability": 0.861328125}, {"start": 712.41, "end": 713.05, "word": " الـ", "probability": 0.375732421875}, {"start": 713.05, "end": 713.45, "word": " MSG", "probability": 0.57568359375}, {"start": 713.45, "end": 713.73, "word": " Class", "probability": 0.336669921875}, {"start": 713.73, "end": 714.01, "word": " 2", "probability": 0.4326171875}, {"start": 714.01, "end": 715.49, "word": " ويقوّي", "probability": 0.6173909505208334}, {"start": 715.49, "end": 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interaction بين الـB7 على سطح الـantigen presenting cell مع الـCD28 أو CD40 أو يسمونه CD152", "tokens": [6027, 2288, 16758, 9566, 9307, 16712, 6027, 2655, 3660, 34051, 16712, 7649, 10632, 11778, 3615, 8315, 8717, 39648, 39896, 6225, 3555, 9640, 3660, 18871, 598, 12, 372, 332, 16381, 15494, 420, 15582, 5296, 31377, 2304, 7251, 5016, 36520, 8978, 3224, 9285, 49374, 2423, 39184, 33, 22, 15844, 8608, 9566, 5016, 2423, 39184, 394, 3213, 15578, 2815, 20449, 2423, 39184, 16508, 11205, 34051, 6743, 5254, 34051, 7251, 38251, 11536, 3224, 6743, 5211, 17], "avg_logprob": -0.33176371169416874, "compression_ratio": 1.3251231527093597, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 727.35, "end": 728.45, "word": "الرابطات", "probability": 0.723095703125}, {"start": 728.45, "end": 729.01, "word": " التالتة", "probability": 0.8953857421875}, {"start": 729.01, "end": 729.57, "word": " أو", "probability": 0.333740234375}, {"start": 729.57, "end": 730.11, "word": " التانية", "probability": 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"start": 786.78, "end": 814.98, "text": "CD40-Ligand Interaction بتسوّد الـ Expression of B7 على سطح الـ Antigen Presenting Cell و بتسوّد ارتباط الـ B7 مع الـ CD28 بين الـ Antigen Presenting Cell و الـ De-Lymphocyte قلنا في رابطة أخرى هي الـ Adhesion Molecule وتتمثل بالـ ICAM-1 بيرتبط مع CD11A", "tokens": [16508, 5254, 12, 43, 328, 474, 5751, 2894, 39894, 3794, 2407, 11703, 3215, 2423, 39184, 21391, 2775, 295, 363, 22, 15844, 8608, 9566, 5016, 2423, 39184, 5130, 3213, 33253, 278, 28859, 4032, 39894, 3794, 2407, 11703, 3215, 1975, 43500, 3555, 41193, 2423, 39184, 363, 22, 20449, 2423, 39184, 6743, 11205, 49374, 2423, 39184, 5130, 3213, 33253, 278, 28859, 4032, 2423, 39184, 1346, 12, 43, 25161, 31078, 975, 12174, 1211, 8315, 8978, 12602, 16758, 9566, 3660, 5551, 34740, 7578, 39896, 2423, 39184, 1999, 38571, 46914, 66, 2271, 34683, 39237, 12984, 1211, 20666, 39184, 14360, 2865, 12, 16, 4724, 13546, 2655, 3555, 9566, 20449, 6743, 5348, 32], "avg_logprob": -0.252948116581395, 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{"start": 1364.64, "end": 1365.38, "word": " signal", "probability": 0.625}, {"start": 1365.38, "end": 1368.34, "word": " طبعا", "probability": 0.9378662109375}, {"start": 1368.34, "end": 1368.48, "word": " من", "probability": 0.94580078125}, {"start": 1368.48, "end": 1368.72, "word": " خلال", "probability": 0.9881184895833334}, {"start": 1368.72, "end": 1369.3, "word": " الارتباط", "probability": 0.85234375}, {"start": 1369.3, "end": 1369.48, "word": " ب", "probability": 0.58349609375}, {"start": 1369.48, "end": 1370.02, "word": " Zeta", "probability": 0.57855224609375}, {"start": 1370.02, "end": 1372.14, "word": " CD3", "probability": 0.7421875}, {"start": 1372.14, "end": 1372.42, "word": " and", "probability": 0.27490234375}, {"start": 1372.42, "end": 1372.76, "word": " Zeta", "probability": 0.89404296875}, {"start": 1372.76, "end": 1373.4, "word": " molecule", "probability": 0.72314453125}, {"start": 1373.4, "end": 1376.18, "word": " وطبعا", "probability": 0.91015625}, {"start": 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changes في Transmembrane region of TCR لتغير شكله بده يتنشط تيروزين كاينيز system ويبدأ يضيف phosphate group لل تيروزين molecule اللى موجودة", "tokens": [2407, 8592, 39894, 25957, 1211, 8978, 9673, 2304, 3555, 2288, 9957, 6055, 25957, 1211, 1975, 15042, 16743, 399, 24976, 2423, 314, 18547, 9154, 10874, 14407, 1975, 2407, 18975, 1478, 2962, 8978, 6531, 17886, 1443, 1929, 4458, 295, 314, 18547, 5296, 2655, 17082, 13546, 13412, 28820, 3224, 47525, 3224, 7251, 2655, 1863, 8592, 9566, 6055, 13546, 2407, 11622, 9957, 9122, 995, 9957, 1829, 11622, 1185, 4032, 1829, 44510, 10721, 7251, 11242, 33911, 46542, 1594, 24976, 6055, 13546, 2407, 11622, 9957, 15582, 13672, 7578, 3714, 29245, 23328, 3660], "avg_logprob": -0.4069683860088217, "compression_ratio": 1.4181818181818182, "no_speech_prob": 0.0, "words": [{"start": 1381.81, "end": 1382.25, "word": "وش", "probability": 0.19854736328125}, {"start": 1382.25, "end": 1382.65, "word": " بتعمل", "probability": 0.9140625}, {"start": 1382.65, "end": 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CD3Z هو مبارحة عن الفن و ال SRC طبعا هدولة ال LCK تابعة لل سارك family و الفن تابع لل سارس family", "tokens": [9566, 3555, 3615, 995, 43242, 8315, 8032, 1863, 8592, 38688, 11296, 6055, 9640, 1829, 11622, 2423, 19452, 1829, 11622, 6615, 365, 6743, 18, 57, 31439, 3714, 3555, 9640, 5016, 3660, 18871, 27188, 1863, 4032, 2423, 20840, 34, 23032, 3555, 3615, 995, 8032, 3215, 12610, 3660, 2423, 441, 9419, 6055, 16758, 27884, 24976, 8608, 9640, 4117, 1605, 4032, 27188, 1863, 6055, 16758, 3615, 24976, 8608, 9640, 3794, 1605], "avg_logprob": -0.34788603642407584, "compression_ratio": 1.421383647798742, "no_speech_prob": 0.0, "words": [{"start": 1410.31, "end": 1410.75, "word": "طبعا", "probability": 0.8243408203125}, {"start": 1410.75, "end": 1411.03, "word": " عندنا", "probability": 0.552337646484375}, {"start": 1411.03, "end": 1411.99, "word": " هنشوفها", "probability": 0.823583984375}, {"start": 1411.99, "end": 1412.65, "word": " تاريز", "probability": 0.731201171875}, {"start": 1412.65, 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1428.37, "word": " هدولة", "probability": 0.7098388671875}, {"start": 1428.37, "end": 1428.81, "word": " ال", "probability": 0.9287109375}, {"start": 1428.81, "end": 1429.93, "word": " LCK", "probability": 0.75537109375}, {"start": 1429.93, "end": 1433.73, "word": " تابعة", "probability": 0.9578450520833334}, {"start": 1433.73, "end": 1434.11, "word": " لل", "probability": 0.74365234375}, {"start": 1434.11, "end": 1434.45, "word": " سارك", "probability": 0.694580078125}, {"start": 1434.45, "end": 1434.83, "word": " family", "probability": 0.7412109375}, {"start": 1434.83, "end": 1436.09, "word": " و", "probability": 0.44970703125}, {"start": 1436.09, "end": 1436.55, "word": " الفن", "probability": 0.978759765625}, {"start": 1436.55, "end": 1437.99, "word": " تابع", "probability": 0.9679361979166666}, {"start": 1437.99, "end": 1438.25, "word": " لل", "probability": 0.91943359375}, {"start": 1438.25, "end": 1438.77, "word": " سارس", "probability": 0.7694498697916666}, {"start": 1438.77, "end": 1439.13, "word": " family", "probability": 0.939453125}], "temperature": 1.0}, {"id": 61, "seek": 145392, "start": 1440.4, "end": 1453.92, "text": "هذا هما التنين بتنشطوا وبيعملوا clustering طبعا بنشطوا اللي هو ال ITM region بيعملونهم phosphorylation", "tokens": [3224, 15730, 8032, 15042, 16712, 1863, 9957, 39894, 1863, 8592, 9566, 14407, 4032, 21292, 25957, 1211, 14407, 596, 48673, 23032, 3555, 3615, 995, 44945, 8592, 9566, 14407, 13672, 1829, 31439, 2423, 6783, 44, 4458, 4724, 1829, 25957, 1211, 11536, 16095, 19775, 827, 24278], "avg_logprob": -0.35937499661337247, "compression_ratio": 1.248, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1440.4, "end": 1440.76, "word": "هذا", "probability": 0.472412109375}, {"start": 1440.76, "end": 1441.06, "word": " هما", "probability": 0.4781494140625}, {"start": 1441.06, "end": 1441.74, "word": " التنين", "probability": 0.7483723958333334}, {"start": 1441.74, "end": 1442.86, "word": " بتنشطوا", "probability": 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"seek": 148183, "start": 1454.61, "end": 1481.83, "text": "وطبعا ما تمت فسفره دول بيمثلوا قاعدة بيتنشط عليها another tyrosine كينيسة منها ZAP 70 و ZAP 70 أيضا بيعمل phosphorylation ل adaptor بلوتين عبارة عن اللات ال SLP 76 على سطح ال cell membrane و بيكونوا complex بيعمل signal transduction و بيكون ال immunological synapse", "tokens": [2407, 9566, 3555, 3615, 995, 19446, 46811, 2655, 6156, 3794, 5172, 2288, 3224, 11778, 12610, 4724, 32640, 12984, 1211, 14407, 12174, 995, 22488, 3660, 4724, 36081, 1863, 8592, 9566, 25894, 11296, 1071, 1104, 2635, 533, 9122, 1829, 22653, 3794, 3660, 9154, 11296, 1176, 4715, 5285, 4032, 1176, 4715, 5285, 36632, 11242, 995, 4724, 1829, 25957, 1211, 19775, 827, 24278, 5296, 6231, 284, 4724, 1211, 35473, 9957, 6225, 3555, 9640, 3660, 18871, 13672, 9307, 2423, 22999, 47, 24733, 15844, 8608, 9566, 5016, 2423, 2815, 19651, 4032, 4724, 1829, 30544, 14407, 3997, 4724, 1829, 25957, 1211, 6358, 1145, 40335, 4032, 4724, 1829, 30544, 2423, 13154, 4383, 5451, 11145], 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"word": " helper", "probability": 0.9521484375}, {"start": 2439.24, "end": 2439.6, "word": " cell", "probability": 0.9599609375}, {"start": 2439.6, "end": 2439.78, "word": " اللي", "probability": 0.860595703125}, {"start": 2439.78, "end": 2440.04, "word": " قلنا", "probability": 0.9044596354166666}, {"start": 2440.04, "end": 2440.24, "word": " لل", "probability": 0.4013671875}, {"start": 2440.24, "end": 2440.76, "word": " internal", "probability": 0.72607421875}, {"start": 2440.76, "end": 2441.48, "word": " epitope", "probability": 0.8665364583333334}], "temperature": 1.0}, {"id": 98, "seek": 245667, "start": 2441.84, "end": 2456.68, "text": "الذي يتم إجراءه خلال عملية عملية عملية عملية عملية عملية عملية عملية عملية عملية عملية عملية عملية عملية", "tokens": [6027, 8848, 1829, 7251, 39237, 11933, 7435, 2288, 16606, 3224, 16490, 1211, 6027, 6225, 42213, 10632, 6225, 42213, 10632, 6225, 42213, 10632, 6225, 42213, 10632, 6225, 42213, 10632, 6225, 42213, 10632, 6225, 42213, 10632, 6225, 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عملية", "probability": 0.7601725260416666}, {"start": 2444.62, "end": 2444.62, "word": " عملية", "probability": 0.7960611979166666}, {"start": 2444.62, "end": 2444.68, "word": " عملية", "probability": 0.8230794270833334}, {"start": 2444.68, "end": 2444.74, "word": " عملية", "probability": 0.8484700520833334}, {"start": 2444.74, "end": 2444.74, "word": " عملية", "probability": 0.8763020833333334}, {"start": 2444.74, "end": 2444.92, "word": " عملية", "probability": 0.90625}, {"start": 2444.92, "end": 2445.26, "word": " عملية", "probability": 0.93896484375}, {"start": 2445.26, "end": 2445.56, "word": " عملية", "probability": 0.95703125}, {"start": 2445.56, "end": 2445.64, "word": " عملية", "probability": 0.9694010416666666}, {"start": 2445.64, "end": 2456.68, "word": " عملية", "probability": 0.9762369791666666}], "temperature": 1.0}, {"id": 99, "seek": 247798, "start": 2460.73, "end": 2477.99, "text": "التعرف المشترك في هذه الحالة B cell can act as anti-representing cell for CD4-T cell 10.6 ل 10.7 بيبين ان ال interaction between B and T lymphocyte", "tokens": [6027, 2655, 3615, 28480, 9673, 8592, 2655, 31747, 8978, 29538, 21542, 6027, 3660, 363, 2815, 393, 605, 382, 6061, 12, 19919, 11662, 278, 2815, 337, 6743, 19, 12, 51, 2815, 1266, 13, 21, 5296, 1266, 13, 22, 4724, 1829, 3555, 9957, 16472, 2423, 9285, 1296, 363, 293, 314, 31070, 31078, 975], "avg_logprob": -0.4483173065460645, "compression_ratio": 1.167741935483871, "no_speech_prob": 1.3709068298339844e-06, "words": [{"start": 2460.73, "end": 2461.69, "word": "التعرف", "probability": 0.5328216552734375}, {"start": 2461.69, "end": 2462.53, "word": " المشترك", "probability": 0.9783935546875}, {"start": 2462.53, "end": 2463.01, "word": " في", "probability": 0.2362060546875}, {"start": 2463.01, "end": 2463.25, "word": " هذه", "probability": 0.80029296875}, {"start": 2463.25, "end": 2463.89, "word": " الحالة", "probability": 0.9755859375}, {"start": 2463.89, "end": 2464.41, "word": " B", "probability": 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"end": 3293.18, "word": " الـ", "probability": 0.4798583984375}, {"start": 3293.18, "end": 3293.8, "word": " activation", "probability": 0.62744140625}, {"start": 3293.8, "end": 3294.44, "word": " pathway", "probability": 0.90625}, {"start": 3294.44, "end": 3294.7, "word": " of", "probability": 0.49365234375}, {"start": 3294.7, "end": 3295.3, "word": " CD4", "probability": 0.96875}, {"start": 3295.3, "end": 3295.44, "word": " to", "probability": 0.0762939453125}, {"start": 3295.44, "end": 3295.94, "word": " CD8", "probability": 0.950439453125}], "temperature": 1.0}, {"id": 132, "seek": 332455, "start": 3296.55, "end": 3324.55, "text": "والـ signal طبعا اللي بتصير ماشي through the antigen specific PCR can be modulated positively via the B3rd core receptor وnegatively for example via the low affinity FC receptor يعني إما بيصير في enhancement or inhibition لسيجنال وبالتالي هذا نوع من ال modulation بيتحكم", "tokens": [2407, 6027, 39184, 6358, 23032, 3555, 3615, 995, 13672, 1829, 39894, 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3300.09, "word": " ماشي", "probability": 0.7647298177083334}, {"start": 3300.09, "end": 3300.61, "word": " through", "probability": 0.53125}, {"start": 3300.61, "end": 3300.81, "word": " the", "probability": 0.8046875}, {"start": 3300.81, "end": 3301.23, "word": " antigen", "probability": 0.843994140625}, {"start": 3301.23, "end": 3301.85, "word": " specific", "probability": 0.77880859375}, {"start": 3301.85, "end": 3302.37, "word": " PCR", "probability": 0.8984375}, {"start": 3302.37, "end": 3303.63, "word": " can", "probability": 0.56689453125}, {"start": 3303.63, "end": 3304.05, "word": " be", "probability": 0.951171875}, {"start": 3304.05, "end": 3304.99, "word": " modulated", "probability": 0.95654296875}, {"start": 3304.99, "end": 3306.07, "word": " positively", "probability": 0.88134765625}, {"start": 3306.07, "end": 3307.41, "word": " via", "probability": 0.7900390625}, {"start": 3307.41, "end": 3307.81, "word": " the", "probability": 0.6494140625}, {"start": 3307.81, "end": 3308.39, "word": " B3rd", "probability": 0.4324544270833333}, {"start": 3308.39, "end": 3308.65, "word": " core", "probability": 0.72119140625}, {"start": 3308.65, "end": 3309.11, "word": " receptor", "probability": 0.62060546875}, {"start": 3309.11, "end": 3310.89, "word": " وnegatively", "probability": 0.5869140625}, {"start": 3310.89, "end": 3311.67, "word": " for", "probability": 0.765625}, {"start": 3311.67, "end": 3312.11, "word": " example", "probability": 0.96240234375}, {"start": 3312.11, "end": 3312.51, "word": " via", "probability": 0.8291015625}, {"start": 3312.51, "end": 3312.77, "word": " the", "probability": 0.880859375}, {"start": 3312.77, "end": 3312.89, "word": " low", "probability": 0.91357421875}, {"start": 3312.89, "end": 3313.43, "word": " affinity", "probability": 0.95849609375}, {"start": 3313.43, "end": 3313.79, "word": " FC", "probability": 0.43994140625}, {"start": 3313.79, "end": 3314.49, "word": " receptor", "probability": 0.88232421875}, {"start": 3314.49, "end": 3315.13, "word": " يعني", "probability": 0.931640625}, {"start": 3315.13, "end": 3315.33, "word": " إما", "probability": 0.757568359375}, {"start": 3315.33, "end": 3315.69, "word": " بيصير", "probability": 0.9300537109375}, {"start": 3315.69, "end": 3315.83, "word": " في", "probability": 0.7705078125}, {"start": 3315.83, "end": 3316.29, "word": " enhancement", "probability": 0.8017578125}, {"start": 3316.29, "end": 3316.97, "word": " or", "probability": 0.63037109375}, {"start": 3316.97, "end": 3317.73, "word": " inhibition", "probability": 0.878173828125}, {"start": 3317.73, "end": 3320.11, "word": " لسيجنال", "probability": 0.6462809244791666}, {"start": 3320.11, "end": 3321.39, "word": " وبالتالي", "probability": 0.8919921875}, {"start": 3321.39, "end": 3321.63, "word": " هذا", "probability": 0.7041015625}, {"start": 3321.63, "end": 3321.87, "word": " نوع", "probability": 0.84033203125}, {"start": 3321.87, "end": 3322.05, "word": " من", "probability": 0.98291015625}, {"start": 3322.05, "end": 3322.17, "word": " ال", "probability": 0.7041015625}, {"start": 3322.17, "end": 3322.75, "word": " modulation", "probability": 0.865234375}, {"start": 3322.75, "end": 3324.55, "word": " بيتحكم", "probability": 0.729736328125}], "temperature": 1.0}, {"id": 133, "seek": 333571, "start": 3325.49, "end": 3335.71, "text": "الـ Response اللي بيطلع بهيك بنكون انهينا المحاضرة و", "tokens": [6027, 39184, 43937, 13672, 1829, 4724, 1829, 9566, 1211, 3615, 39627, 1829, 4117, 44945, 30544, 16472, 3224, 1829, 8315, 9673, 5016, 46958, 25720, 4032], "avg_logprob": -0.4040625, "compression_ratio": 1.0731707317073171, "no_speech_prob": 9.5367431640625e-07, "words": [{"start": 3325.49, "end": 3326.23, "word": "الـ", "probability": 0.4130859375}, {"start": 3326.23, "end": 3326.83, "word": " Response", "probability": 0.6513671875}, {"start": 3326.83, "end": 3327.05, "word": " اللي", "probability": 0.711181640625}, {"start": 3327.05, "end": 3327.57, "word": " بيطلع", "probability": 0.89794921875}, {"start": 3327.57, "end": 3330.97, "word": " بهيك", "probability": 0.484619140625}, {"start": 3330.97, "end": 3331.39, "word": " بنكون", "probability": 0.76708984375}, {"start": 3331.39, "end": 3332.17, "word": " انهينا", "probability": 0.78643798828125}, {"start": 3332.17, "end": 3333.59, "word": " المحاضرة", "probability": 0.98095703125}, {"start": 3333.59, "end": 3335.71, "word": " و", "probability": 0.88134765625}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 3344.161125, "duration_after_vad": 3223.6418749999893}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/FHPHT7IameQ.srt b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/FHPHT7IameQ.srt
new file mode 100644
index 0000000000000000000000000000000000000000..552e4587e8fe994b158c4288f41c9e97439f30a0
--- /dev/null
+++ b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/FHPHT7IameQ.srt
@@ -0,0 +1,2943 @@
+1
+00:00:02,230 --> 00:00:06,830
+بسم الله الرحمن الرحيم نلتقي اليوم في محاضرة جديدة
+
+2
+00:00:06,830 --> 00:00:12,230
+عنوانها cytokine وكما تعلمون الـ cytokine هي عبارة عن
+
+3
+00:00:12,230 --> 00:00:15,610
+جليكو بروتين substance which has low molecular
+
+4
+00:00:15,610 --> 00:00:20,540
+weight، و تُنتج من خلايا من نفسها 
+
+5
+00:00:20,540 --> 00:00:21,140
+وتُنتج من نفسها وتُنتج من نفسها 
+
+6
+00:00:21,140 --> 00:00:27,000
+وتُنتج من نفسها وتُنتج من نفسها وتُنتج من نفسها
+
+7
+00:00:27,000 --> 00:00:27,180
+وتُنتج من نفسها وتُنتج من نفسها وتُنتج من نفسها
+
+8
+00:00:27,180 --> 00:00:27,200
+وتُنتج من نفسها وتُنتج من نفسها وتُنتج من نفسها
+
+9
+00:00:27,200 --> 00:00:29,080
+وتُنتج من نفسها وتُنتج من نفسها وتُنتج من نفسها
+
+10
+00:00:29,080 --> 00:00:33,080
+وتُنتج
+
+11
+00:00:33,080 --> 00:00:45,940
+من نفسها وانتجت 
+
+12
+00:00:46,220 --> 00:00:51,100
+يعني بتنقل رسائل ما بين الخلايا في الـ immune
+
+13
+00:00:51,100 --> 00:00:56,800
+system، it's also regulated by particular cytokine
+
+14
+00:00:56,800 --> 00:01:03,800
+receptor، يعني لازم الـ cytokine عشان يشتغل يكون له
+
+15
+00:01:03,800 --> 00:01:11,440
+receptor for that factor cytokine، أيضا تُنتج من 
+
+16
+00:01:11,440 --> 00:01:16,620
+lymphocyte، بيسموها lymphokine، واللي بتنتج من الـ
+
+17
+00:01:16,620 --> 00:01:22,260
+Monocyte أو الـ Macrophage بيسموها Monokines، و
+
+18
+00:01:22,260 --> 00:01:29,880
+أيضًا تُسمى Chemokine يوم ما تشتغل as a
+
+19
+00:01:29,880 --> 00:01:33,840
+chemotactic factor، Chemotactic factor يعني هي
+
+20
+00:01:33,840 --> 00:01:38,880
+عبارة عن factors بتساعد في عملية حركة الخلية
+
+21
+00:01:38,880 --> 00:01:47,200
+باتجاه الانتيجن، these factors، نحن لسنا مجرد نوع من
+
+22
+00:01:47,200 --> 00:01:49,340
+اللمفاويات، نحن لسنا مجرد نوع من اللمفاويات، نحن
+
+23
+00:01:49,340 --> 00:01:49,360
+لسنا مجرد نوع من اللمفاويات، نحن لسنا مجرد نوع من
+
+24
+00:01:49,360 --> 00:01:51,880
+اللمفاويات، نحن لسنا مجرد نوع من اللمفاويات، نحن
+
+25
+00:01:51,880 --> 00:01:56,940
+لسنا مجرد نوع من اللمفاويات، نحن لسنا مجرد نوع من
+
+26
+00:01:56,940 --> 00:02:01,880
+اللمفاويات، نحن لسنا مجرد نوع من اللمفاويات، نحن
+
+27
+00:02:01,880 --> 00:02:04,020
+لسنا مجرد نوع من اللمفاويات، نحن لسنا مجرد نوع من
+
+28
+00:02:04,020 --> 00:02:09,540
+اللمفاويات، نحن لسنا مجرد نوع من اللمفاويات، نحن
+
+29
+00:02:09,540 --> 00:02:12,710
+لسنا مجرد نوع من اللمفاويات، it's a generic name، يعني
+
+30
+00:02:12,710 --> 00:02:22,110
+اسم عام for these placaridins، أيضا سموهم
+
+31
+00:02:22,110 --> 00:02:26,550
+Interleukins، لإن هما يتعاملون بين الخلايا بين
+
+32
+00:02:26,550 --> 00:02:28,750
+اللوكوسايت، Interleukin
+
+33
+00:02:33,290 --> 00:02:37,250
+اليوم أعدادهم طبعًا أعطوهم أرقام، و الأرقام وصلت
+
+34
+00:02:37,250 --> 00:02:40,710
+أكثر من ثلاثين different interlocus are present
+
+35
+00:02:40,710 --> 00:02:45,990
+macro phase، أيضا derived أو بيسموهم lymphocyte
+
+36
+00:02:45,990 --> 00:02:50,710
+activating factor، وهي T cell growth factors
+
+37
+00:02:50,710 --> 00:02:55,910
+فأعطوهم إيش؟ أعطوهم أرقام زي ما قلنا IL-1 و IL-2
+
+38
+00:02:55,910 --> 00:03:01,690
+they can activate macro phase and T lymphocyte
+
+39
+00:03:01,690 --> 00:03:06,110
+respectively، اليوم زي ما قلنا في أكثر من ثلاثين
+
+40
+00:03:06,110 --> 00:03:12,270
+different Interleukins are coined، معظمهم are
+
+41
+00:03:12,270 --> 00:03:17,130
+biologically affect many cell types
+
+42
+00:03:17,130 --> 00:03:22,790
+داخل وخارج الـ immune system، فعلى سبيل المثال
+
+43
+00:03:22,790 --> 00:03:30,290
+Interleukin 2 promote cell proliferation and also
+
+44
+00:03:30,290 --> 00:03:37,090
+stimulate osteoclast، واحد ثاني transforming growth
+
+45
+00:03:37,090 --> 00:03:41,070
+factor beta، بيسموه
+
+46
+00:03:41,070 --> 00:03:43,770
+transforming growth factor beta، وبيسموه tumor
+
+47
+00:03:43,770 --> 00:03:48,730
+growth factor beta، أيضا stimulate many cells، بما
+
+48
+00:03:48,730 --> 00:03:52,990
+فيها الـ tissue fibroblast، وبالتالي
+
+49
+00:03:54,190 --> 00:03:58,130
+أو D-lymphocyte وB-lymphocyte، وبالتالي هؤلاء الـ
+
+50
+00:03:58,130 --> 00:04:04,010
+cytokines بمعنى بلايوتروبيكي، بمعنى بلايوتروبيكي
+
+51
+00:04:04,010 --> 00:04:08,370
+بمعنى فيهم وظائف متعددة، لأنهم يمكنهم أن يؤثروا
+
+52
+00:04:08,370 --> 00:04:10,890
+في العديد من الخلايا
+
+53
+00:04:13,850 --> 00:04:18,470
+هناك أيضًا من صفاتهم الريداندنسية، أن هما redundant
+
+54
+00:04:18,470 --> 00:04:25,090
+على سبيل المثال، أي إنترلوكين توت أو إنترلوكين
+
+55
+00:04:25,090 --> 00:04:31,930
+فور يمكن أن يعملوا كـ growth factors ثانية
+
+56
+00:04:31,930 --> 00:04:36,770
+بيشتغلوا على T lymphocyte وبيشتغلوا في نموها، عشان
+
+57
+00:04:36,770 --> 00:04:38,390
+هيك بيسموهم redundant
+
+58
+00:04:43,750 --> 00:04:48,730
+والـ Cytokine اللي هم أيضًا صفاتهم الـ additive، يعني اثنين
+
+59
+00:04:48,730 --> 00:04:55,190
+ممكن نشتغلهم synergistic أو antagonistic، they are
+
+60
+00:04:55,190 --> 00:05:01,730
+properties، من الصفات العامة للـ cytokine A they have
+
+61
+00:05:01,730 --> 00:05:06,070
+common functional properties، وخذوا الأمثلة على ذلك
+
+62
+00:05:06,070 --> 00:05:10,690
+common functional properties cytokine، بعض الـ
+
+63
+00:05:10,690 --> 00:05:13,830
+cytokines مثل الـ Gamma Interferon والـ
+
+64
+00:05:13,830 --> 00:05:21,470
+Interleukin 2، الاثنين مكسورة بالسلسلة ومكسورة بسرعة،
+
+65
+00:05:21,470 --> 00:05:24,670
+صفة
+
+66
+00:05:24,670 --> 00:05:33,210
+أخرى مختلفة مختلفة مختلفة مختلفة مختلفة مختلفة
+
+67
+00:05:33,210 --> 00:05:35,330
+مختلفة مختلفة مختلفة مختلفة مختلفة مختلفة مختلفة
+
+68
+00:05:35,330 --> 00:05:36,450
+مختلفة مختلفة مختلفة مختلفة مختلفة مختلفة مختلفة
+
+69
+00:05:36,450 --> 00:05:36,570
+مختلفة مختلفة مختلفة مختلفة مختلفة مختلفة مختلفة
+
+70
+00:05:36,570 --> 00:05:40,860
+مختلفة، معظم الـ cytokines يمتلكون حياة قصيرة أو
+
+71
+00:05:40,860 --> 00:05:47,940
+نصف عمر، والـ function of the cytokines occur in pairs
+
+72
+00:05:47,940 --> 00:05:52,340
+بيصنعوا
+
+73
+00:05:52,340 --> 00:05:57,200
+ويشتغلوا كانفجار مرة واحدة هكذا، الـ cytokines
+
+74
+00:05:57,200 --> 00:05:59,460
+facilitate communication between cells
+
+75
+00:06:03,570 --> 00:06:12,610
+وهي بتركيزهم إلى عشرة قوة ناقص تسعة للعشرة قوة ناقص 
+
+76
+00:06:12,610 --> 00:06:20,110
+خمسة عشر، أيضا يمكن أن يعملوا كهرمون، يمكن أن يكونوا
+
+77
+00:06:20,110 --> 00:06:26,850
+مفردين كـ Autocrine أو Paracrine أو Endocrine، أيضًا
+
+78
+00:06:26,850 --> 00:06:31,790
+من وظائفهم أو صفاتهم، بسرعة الـ Cytokine يمكن أن
+
+79
+00:06:31,790 --> 00:06:35,590
+تعمل تأثير عملية لهم من خلال ارتباطهم بمجموعات
+
+80
+00:06:35,590 --> 00:06:42,190
+محددة، فعلى سبيل المثال تحفز أو تمنع target cell مثل
+
+81
+00:06:42,190 --> 00:06:49,030
+T-Helper-1، يوم ما تفرز Gamma Interferon، تنشط
+
+82
+00:06:49,030 --> 00:06:52,550
+الميكروفاج وفي نفس الوقت تعمل inhibition
+
+83
+00:06:52,550 --> 00:06:58,840
+للمليمفوسايت، يعني نفس الـ Gamma interferon
+
+84
+00:06:58,840 --> 00:07:04,560
+activate macrophage and inhibit B lymphocytes، نفس
+
+85
+00:07:04,560 --> 00:07:10,300
+الحكاية في T helper 2، يوم ما تفرز الـ IL4 والـ IL5
+
+86
+00:07:10,300 --> 00:07:18,350
+they activate B lymphocytes and IL10 أيضًا يفرز
+
+87
+00:07:18,350 --> 00:07:23,950
+inhibition لـ macro phase activation، وهذا عبارة بيسموه
+
+88
+00:07:23,950 --> 00:07:28,330
+هذه عملية الـ regulation ما بين اللي هو تكوين T
+
+89
+00:07:28,330 --> 00:07:32,910
+helper واحد أو T helper اثنين، ما يؤثر في ذلك هو الـ
+
+90
+00:07:32,910 --> 00:07:39,750
+type of antigen، وهذه الفيجر هي T helper واحد 100%
+
+91
+00:07:39,750 --> 00:07:50,700
+antigen تلقفته اللي هو الـ Dendritic cell، فيفرز IL
+
+92
+00:07:50,700 --> 00:07:56,440
+-12 حولت T helper node إلى T helper node نشطة، T helper
+
+93
+00:07:56,440 --> 00:07:58,700
+node إلى T helper node إلى T helper node إلى T helper
+
+94
+00:07:58,700 --> 00:08:06,440
+node إلى T helper node إلى T helper node إلى T helper
+
+95
+00:08:06,440 --> 00:08:11,780
+node إلى T helper node، إفراز طبعًا cytokine دي الـ site
+
+96
+00:08:11,780 --> 00:08:15,460
+طبعًا فيها الـ activation، إجت نشطت الـ macro phase من
+
+97
+00:08:15,460 --> 00:08:19,160
+خلال ارتباطها فيها cell to cell contact، وأفرزها
+
+98
+00:08:19,160 --> 00:08:23,060
+الـ cytokine، إيش الـ cytokine أفرزتها؟ جمع
+
+99
+00:08:23,060 --> 00:08:29,280
+الـ interferon نشط الـ macro phase، GMCSF نشط macro
+
+100
+00:08:29,280 --> 00:08:33,440
+phase، tumor necrosis factor alpha نشط macro phase
+
+101
+00:08:33,440 --> 00:08:39,860
+IL3 عمل hemopoiesis، Tumor Necrosis Factor Beta
+
+102
+00:08:39,860 --> 00:08:48,200
+أيضًا يفرز أثناء الـ Inflammatory Reaction، فالمجال
+
+103
+00:08:48,200 --> 00:08:54,300
+هذا T helper واحد بتنشط microphage، وطبعًا هنشوف وبنعرف أن وظيفة الـ microphage فيها ست وظائف مختلفة
+
+104
+00:08:54,300 --> 00:08:57,940
+بس أهم وظيفة هي الفاجوسيتوسيس، في المقابل T helper 2 ده
+
+105
+00:08:57,940 --> 00:09:03,660
+هي يوم ما تصادف Antigen، Dendritic cell بتقدم لها T
+
+106
+00:09:03,660 --> 00:09:09,290
+helper node، بعد ما تفرز IL 4، وT helper node
+
+107
+00:09:09,290 --> 00:09:14,710
+تتحول لـ T helper 2 اللي هي بتنشط B لمفوسايت، طابت
+
+108
+00:09:14,710 --> 00:09:19,270
+في B لمفوسايت هي الـ binding وبتفرز cytokine، شو
+
+109
+00:09:19,270 --> 00:09:23,250
+الـ cytokine بتفرزها؟ IL 4 بنشط B cell، IL 5 بنشط B
+
+110
+00:09:23,250 --> 00:09:29,790
+cell، IL 10 بيعمل inhibition لـ T helper 1 من خلال أن
+
+111
+00:09:29,790 --> 00:09:34,750
+هي بتمنع الـ micro phase، عيال تلاتة hemopoiesis، عيال
+
+112
+00:09:40,370 --> 00:09:46,290
+ثلاثة عيال
+
+113
+00:09:46,290 --> 00:09:50,910
+ثلاثة عيال ثلاثة عيال ثلاثة عيال ثلاثة عيال ثلاثة
+
+114
+00:09:50,910 --> 00:09:51,230
+عيال ثلاثة عيال ثلاثة عيال ثلاثة عيال ثلاثة عيال
+
+115
+00:09:51,230 --> 00:09:54,070
+ثلاثة عيال ثلاثة عيال ثلاثة عيال ثلاثة عيال ثلاثة
+
+116
+00:09:54,070 --> 00:09:54,110
+ثلاثة عيال ثلاثة عيال ثلاثة عيال ثلاثة عيال ثلاثة
+
+117
+00:09:54,110 --> 00:09:55,590
+عيال ثلاثة عيال ثلاثة عيال ثلاثة عيال ثلاثة عيال
+
+118
+00:09:55,590 --> 00:10:02,650
+ثلاثة عيال ثلاثة
+
+120
+00:10:05,840 --> 00:10:11,840
+الخروج من الخلايا
+
+121
+00:10:11,840 --> 00:10:17,180
+التي نشطت بواسطة الانتيجين، بيأتي إلى نشاط مختلف
+
+122
+00:10:17,180 --> 00:10:24,220
+مختلف اللي هو cell type، يوم ما نفرز الـ cytokine
+
+123
+00:10:24,220 --> 00:10:28,220
+على مستوى عال يكون لديهم استيمولات قوية، ويمكن أن
+
+124
+00:10:28,220 --> 00:10:33,800
+يؤثر عليها تأثير دليلية وتأثير سيستامية، مثل ما
+
+125
+00:10:33,800 --> 00:10:38,260
+يُسمى بـ toxic shock syndrome، الـ cytokine لازم
+
+126
+00:10:38,260 --> 00:10:44,620
+يفرزه بتركيز قليل جدا لكن يوم ما يكون تركيزه فرزه 
+
+127
+00:10:44,620 --> 00:10:51,400
+بكميات عالية جدا عالية التركيز بسبب تأثيرات مؤذية
+
+128
+00:10:51,930 --> 00:10:56,670
+Deleterious غير مفيدة مؤذية  ماشي  and systemic
+
+129
+00:10:56,670 --> 00:11:03,490
+يعني عامة و زي ما بيصير في حالة ال toxic shock
+
+130
+00:11:03,490 --> 00:11:08,750
+syndrome هنشوفها إن شاء الله قدام في ال diseases
+
+131
+00:11:08,750 --> 00:11:13,710
+therapeutic manipulation كمان ممكن احنا نلعب بال
+
+132
+00:11:13,710 --> 00:11:17,690
+cytokine من ناحية العلاج نستفيد منهم من ناحية إيش
+
+133
+00:11:17,950 --> 00:11:24,170
+العلاجية أيضا في يعني التلاعب في اللي هو ال immune
+
+134
+00:11:24,170 --> 00:11:28,010
+system على سبيل المثال if we use the component
+
+135
+00:11:28,010 --> 00:11:34,890
+اللي هو cytokine we can activate if we use the
+
+136
+00:11:34,890 --> 00:11:39,430
+cytokine antagonist we can inhibit  ولا كذا
+
+137
+00:11:39,820 --> 00:11:45,100
+بإمكاننا تحريك نظام الحيوانات باستخدام هذه الـ
+
+138
+00:11:45,100 --> 00:11:51,860
+cytokine طيب ما هي الخلايا اللى ممكن تفرزلنا اللى
+
+139
+00:11:51,860 --> 00:11:59,820
+هو cytokine in a cascade manner طبعا
+
+140
+00:11:59,820 --> 00:12:03,180
+في خلايا given cell ممكن تعمل كثير من ال cytokine
+
+141
+00:12:05,570 --> 00:12:09,390
+One cell may be the target of many cytokines طبيعي
+
+142
+00:12:09,390 --> 00:12:14,210
+جدا خلية واحدة ممكن يكون أكثر من ال cytokine
+
+143
+00:12:14,210 --> 00:12:18,010
+بيشتغل عليها وكل واحد مرتبط بالـ receptor على سطح
+
+144
+00:12:18,010 --> 00:12:24,730
+هذه الخلية كمان one cytokine ممكن يأثر على تأثير
+
+145
+00:12:24,730 --> 00:12:29,250
+أو يأثر على اللي هو فعلية ال other cytokine
+
+146
+00:12:30,700 --> 00:12:37,620
+وبالتالي ممكن يعني يضيف له function ماشي أو يضيف
+
+147
+00:12:37,620 --> 00:12:42,940
+يقوي ال function يعني additive or synergistic or
+
+148
+00:12:42,940 --> 00:12:47,500
+antagonistic interaction
+
+149
+00:12:47,500 --> 00:12:50,380
+of multiple cytokines produced during typical
+
+150
+00:12:50,380 --> 00:12:55,490
+immune responseأيضًا بيسموها اللي هو cytokine
+
+151
+00:12:55,490 --> 00:13:00,910
+cascade and this cascade largely determine whether
+
+152
+00:13:00,910 --> 00:13:05,530
+a response to an antigen will primarily antibody
+
+153
+00:13:05,530 --> 00:13:09,890
+-mediated or cell-mediated يعني ال interaction لما
+
+154
+00:13:09,890 --> 00:13:13,790
+تفرز أكثر من cytokine they interact to each other
+
+155
+00:13:14,070 --> 00:13:19,370
+هم يسمونها كـ Cytokine Cascade وهذا الـ Cascade
+
+156
+00:13:19,370 --> 00:13:25,550
+المحصل أن هي تبعته يا إما بيكون لنا Antibody أو
+
+157
+00:13:25,550 --> 00:13:29,030
+بنشط لنا خلايا مناعية فاعلة
+
+158
+00:13:31,990 --> 00:13:35,910
+العمل المهم في هذه العملية هو الـ Antigenic
+
+159
+00:13:35,910 --> 00:13:41,490
+Stimulus هو الـ Antigen من يحدد خط سير أو نهاية
+
+160
+00:13:41,490 --> 00:13:49,050
+اللي هو نشاط الـ cytokine طيب،
+
+161
+00:13:49,050 --> 00:13:51,330
+ال receptor لل cytokine طبعا، they have common
+
+162
+00:13:51,330 --> 00:13:55,690
+receptor على سبيل المثال أنا قلنا أنه فيه
+
+163
+00:13:55,690 --> 00:13:58,650
+overlapping يعني فيه redundant function على سبيل
+
+164
+00:13:58,650 --> 00:14:02,510
+المثال إيل واحد وإيل ستة ممكن both كانت both
+
+165
+00:14:02,510 --> 00:14:06,370
+induce fever ويبقى لهم طبعا different biological
+
+166
+00:14:06,370 --> 00:14:10,010
+function أخرى
+
+167
+00:14:12,760 --> 00:14:15,760
+واجهته أن الـSignal Cytokine يستخدم مرتفعات
+
+168
+00:14:15,760 --> 00:14:20,260
+مرتفعات مرتفعات مرتفعات مرتفعات مرتفعات مرتفعات
+
+169
+00:14:20,260 --> 00:14:21,640
+مرتفعات مرتفعات مرتفعات مرتفعات مرتفعات مرتفعات
+
+170
+00:14:21,640 --> 00:14:21,780
+مرتفعات مرتفعات مرتفعات مرتفعات مرتفعات مرتفعات
+
+171
+00:14:21,780 --> 00:14:23,600
+مرتفعات مرتفعات مرتفعات مرتفعات مرتفعات مرتفعات
+
+172
+00:14:23,600 --> 00:14:24,980
+مرتفعات مرتفعات مرتفعات مرتفعات مرتفعات مرتفعات
+
+173
+00:14:24,980 --> 00:14:25,040
+مرتفعات مرتفعات مرتفعات مرتفعات مرتفعات مرتفعات
+
+174
+00:14:25,040 --> 00:14:30,420
+مرتفعات مرتفعات مرتفعات
+
+175
+00:14:30,420 --> 00:14:35,200
+مرتفعات
+
+176
+00:14:35,200 --> 00:14:36,580
+م
+
+177
+00:14:39,560 --> 00:14:43,140
+وهي هذه الـ Common Gamma Chain هي المسؤولة عن
+
+178
+00:14:43,140 --> 00:14:48,120
+Signal Transduction أو الـ Chemical Messenger ما
+
+179
+00:14:48,120 --> 00:14:51,740
+أحنا سميناه Chemical Messenger وبالتالي بيرسلوا
+
+180
+00:14:51,740 --> 00:14:56,800
+رسالة إلى الداخل وبالتالي هم المسؤولين هذه الـ
+
+181
+00:14:56,800 --> 00:14:59,240
+Chain هي المسؤولة عن الـ Intracellular Signaling
+
+182
+00:14:59,240 --> 00:15:06,500
+Molecule وهذا بيفسر لنا ليش أن في أكثر من اللي هو
+
+183
+00:15:06,500 --> 00:15:14,280
+cytokine can act on theirSame Cell كما تشاهدون في
+
+184
+00:15:14,280 --> 00:15:20,380
+الفيجر الى 6 أي فيه أكثر من Receptors كلهم They
+
+185
+00:15:20,380 --> 00:15:26,040
+Share اللي هو Gamma Chain فيه Triple Chain فيه
+
+186
+00:15:26,040 --> 00:15:30,660
+Double Chain المهم كلهم يحتووا على Gamma Chain و
+
+187
+00:15:30,660 --> 00:15:33,840
+Gamma Chain هي المسؤولة عن إيه عن اللي هو Signal
+
+188
+00:15:33,840 --> 00:15:37,780
+Transduction لأنها واحدة لكل الـ Receptors اللي
+
+189
+00:15:37,780 --> 00:15:41,480
+موجودة يبقى غالبا ال signal هي واحدة عشان هيك
+
+190
+00:15:41,480 --> 00:15:47,660
+بنلاقي في multiple cytokine can have the same اللي
+
+191
+00:15:47,660 --> 00:15:53,200
+هو function functional category بس طبعا قسموا هذا
+
+192
+00:15:53,200 --> 00:15:57,960
+ال cytokine إلى different category جالوا cytokine
+
+193
+00:15:57,960 --> 00:16:00,320
+that regulate immune response تشتر على ال immune
+
+194
+00:16:00,320 --> 00:16:03,890
+response وطبعا أهم في هذه الخلايا هي ال B و T
+
+195
+00:16:03,890 --> 00:16:10,210
+lymphocyte activity يوم يتعرضوا ل antigen يوم يشير
+
+196
+00:16:10,210 --> 00:16:13,720
+لهم stimulation by antigen هؤلاء الـ cytokines
+
+197
+00:16:13,720 --> 00:16:20,440
+يعملون بشكل أساسي على الانتجين المشغول للمفوسايتين
+
+198
+00:16:20,440 --> 00:16:26,540
+مثال على ذلك CD4T للمفوسايتين بتعتبر مصادر كبيرة
+
+199
+00:16:26,540 --> 00:16:30,320
+للإيمينو راجلاتري للـ cytokine يعني بعد ما تتنشط
+
+200
+00:16:30,320 --> 00:16:34,840
+بتفرزلنا cytokine اللي بتعمل راجلاتي للإيمينو
+
+201
+00:16:34,840 --> 00:16:43,610
+راجلاتريناييف CD4 نفس الـ T-Lymphocyte اللي هي الـ
+
+202
+00:16:43,610 --> 00:16:49,110
+T-cell اللي لم تصادف أنتجين بعد أول مرة بتشوفه
+
+203
+00:16:49,110 --> 00:16:53,970
+كانت مختلفة إلى مجموعات وممكن تصنع مختلفة تقريبا
+
+204
+00:16:53,970 --> 00:16:55,650
+تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا
+
+205
+00:16:55,650 --> 00:16:57,670
+تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا
+
+206
+00:16:57,670 --> 00:16:59,390
+تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا
+
+207
+00:16:59,390 --> 00:17:00,790
+تقريبا تقريبا تقري
+
+208
+00:17:04,440 --> 00:17:06,900
+أيضا، الكثير من البكتيريا الانتراثية مثل
+
+209
+00:17:06,900 --> 00:17:10,740
+الاستيريا والفيروس بنشطوا الـ Dendritic cell و
+
+210
+00:17:10,740 --> 00:17:14,280
+بنشطوا الـ macrophage و بنشطوا الـ NK cell كلهم
+
+211
+00:17:14,280 --> 00:17:17,740
+يمكن أن ينتجوا الـ IL-12 و Gamma Interferon
+
+212
+00:17:17,740 --> 00:17:23,340
+وطبعًا، هذا زي ما شفنا في الفيجور 11.6 هؤلاء يمكن
+
+213
+00:17:23,340 --> 00:17:27,860
+أن يطلعوا على الـ cytokine التي تنتج تيهيلبر 1 من
+
+214
+00:17:27,860 --> 00:17:34,730
+من تيهيلبرنوت تيهيلبرنوت عبارة عن خلية البروجينيتر
+
+215
+00:17:34,730 --> 00:17:38,410
+تيليفوسايتس اللي اتنشطت وادتني وصلها
+
+216
+00:17:38,410 --> 00:17:42,250
+differentiation واتنشطت وادتني إما تيهيلبر واحد وإما
+
+217
+00:17:42,250 --> 00:17:46,830
+تيهيلبر اثنين شوفنا هذا في الاش في ال figure السابق
+
+218
+00:17:46,830 --> 00:17:52,250
+other pathogens زي ال worms على سبيل المثال بيؤدوا
+
+219
+00:17:52,250 --> 00:17:59,030
+إلى ال secretion of IL-5 بواسطة المصل على سبيل
+
+220
+00:17:59,030 --> 00:18:07,780
+المثال ال IL-4 أيضا وهذا ينفذ تطبيق البرنود إلى
+
+221
+00:18:07,780 --> 00:18:12,980
+تيهيلبرتو نفس الشيء اللي شفناه في الفيجر اللي فات
+
+222
+00:18:12,980 --> 00:18:17,900
+وهذا تفسير لذلك أيضا low level أو processed
+
+223
+00:18:17,900 --> 00:18:27,780
+antigen كمية قليلة تتعامل مع تيهيلبرتو TCR وبس
+
+224
+00:18:27,780 --> 00:18:34,160
+ترتبط بهذه الكمية القليلة تختار تيهيلبرتو ووجدها
+
+225
+00:18:34,160 --> 00:18:40,360
+تفرز IL-4 و IL-5 يوم تزيد الكمية increase level
+
+226
+00:18:40,360 --> 00:18:45,800
+اللي بتطبق بتبدأ تيهيلبر نوت TCR بتؤدي إلى
+
+227
+00:18:45,800 --> 00:18:50,300
+differentiation into تيهيلبر one وبالتالي وجدها
+
+228
+00:18:50,300 --> 00:18:54,400
+تيهيلبر one بتصير خلية نادرة تستطيع أن تفرز IL-2
+
+229
+00:18:54,400 --> 00:18:57,740
+و Gamma Interferon و Tumor Necrosis Factor Beta
+
+230
+00:18:59,250 --> 00:19:03,870
+Pathway of Tl-bar-1 يسهّل
+
+231
+00:19:03,870 --> 00:19:07,610
+الـ cell-mediated immunity باكتفاء الـ macrophage
+
+232
+00:19:07,610 --> 00:19:13,810
+عن كيس الـ cytotoxic T-lymphocyte بينما Tl-bar-2
+
+233
+00:19:13,810 --> 00:19:17,730
+بآلية أساسية لإيجاب الـ immunity هو إنتاج
+
+234
+00:19:17,730 --> 00:19:22,490
+الانتيبادي يعني تيهيلبر 1 بيدينا cell mediated
+
+235
+00:19:22,490 --> 00:19:27,010
+بينما تيهيلبر 2 بيدينا antibody mediated immunity
+
+236
+00:19:27,010 --> 00:19:34,290
+وبالتالي تيهيلبر subset also can regulate the
+
+237
+00:19:34,290 --> 00:19:38,310
+growth and effector function of each other as a
+
+238
+00:19:38,310 --> 00:19:42,030
+result of the activity of cytokine  نتين شوفنا كيف
+
+239
+00:19:42,030 --> 00:19:45,430
+بيعملوا regulation to each other من خلال ال
+
+240
+00:19:45,430 --> 00:19:46,990
+cytokine that they release
+
+241
+00:19:49,640 --> 00:19:52,320
+الـ IL-10 على سبيل المثال الـ Transformed Growth
+
+242
+00:19:52,320 --> 00:19:56,460
+Factor Beta اللي تطلع من T helper 2 يمكن أن تمنع
+
+243
+00:19:56,460 --> 00:20:03,400
+تمنع تمنع تطور T helper 1 ويوم ما يسير فيه
+
+244
+00:20:03,400 --> 00:20:07,300
+إفراز لـ Gamma Interferon من T helper 1 يمكن
+
+245
+00:20:07,300 --> 00:20:12,280
+أن تمنع تمنع تطور T helper 2 يبقى Cytokine تقدر
+
+246
+00:20:12,280 --> 00:20:15,620
+تقدر تقدر تقدر تقدر تقدر تقدر تقدر تقدر تقدر تقدر
+
+247
+00:20:15,620 --> 00:20:17,680
+تقدر تقدر تقدر تقدر تقدر تقدر تقدر تقدر تقدر تقدر
+
+248
+00:20:17,680 --> 00:20:18,590
+تقدر تقدر تقدر تقدر تقدر تقدر تقدر تقدر تقدر تكو
+
+249
+00:20:18,590 --> 00:20:22,730
+ن سيل ترجع إلى موقع كويسانت يعني تفرد الـ cytokine
+
+250
+00:20:22,730 --> 00:20:29,250
+تنشط هذه الخلايا ثم بانتهاء الانتجين ترجع إلى
+
+251
+00:20:29,250 --> 00:20:35,530
+وضعها الطبيعي فهمش cytokine النوع الثاني من ال
+
+252
+00:20:35,530 --> 00:20:42,570
+cytokine that facilitate the innate immune
+
+253
+00:20:42,570 --> 00:20:47,200
+response and activate the inflammatory response أنا
+
+254
+00:20:47,200 --> 00:20:54,800
+بدأش نحكي على إيش على اللي هو ال T
+
+255
+00:20:54,800 --> 00:20:59,480
+and cell subset نحكي على innate immune response
+
+256
+00:20:59,480 --> 00:21:03,720
+بشكل عام و activation of the inflammatory response
+
+257
+00:21:03,720 --> 00:21:09,920
+نبدأ في الأول في ال innate immune response و ال
+
+258
+00:21:09,920 --> 00:21:17,320
+cytokine اللي موجودة في هذا أو ال .. that
+
+259
+00:21:17,320 --> 00:21:21,740
+facilitate the innate immune response it's usually
+
+260
+00:21:21,740 --> 00:21:26,780
+stimulated by viruses or microbial pathogens هو على
+
+261
+00:21:26,780 --> 00:21:29,060
+سبيل المثال ايال واحد وايال ستة ايال واحد وايال
+
+262
+00:21:29,060 --> 00:21:33,580
+ستة ايال
+
+263
+00:21:33,580 --> 00:21:38,460
+واحد وايال ستة ايال واحد وايال ستة ايال واحد وايال
+
+264
+00:21:38,460 --> 00:21:43,400
+ستة ايال واحد وايال ستة ايال واحد وايال ستة ايال
+
+265
+00:21:43,400 --> 00:21:44,120
+واحد وايال ستة ايال واحد وايال ستة ايال واحد وايال
+
+266
+00:21:44,120 --> 00:21:44,520
+ستة ايال واحد وايال ستة ايال واحد وايال ستة ايال
+
+267
+00:21:44,520 --> 00:21:50,560
+واحد وايال ستة ايال واحد وايال ستة ايال واحد و
+
+268
+00:21:51,490 --> 00:21:55,070
+نمر اثنين They stimulate the production of acute
+
+269
+00:21:55,070 --> 00:21:57,870
+phase proteins شو بيعمل acute phase proteins على
+
+270
+00:21:57,870 --> 00:22:02,550
+مثال على ذلك اللي هو CRP لأنه برتبط بالفوسفوري
+
+271
+00:22:02,550 --> 00:22:06,850
+الكولين تبع ال bacterial cell membrane or surface
+
+272
+00:22:07,990 --> 00:22:14,050
+وبالتالي بيعلّم البكتيريا بأنها تعمل كـ Opsonin
+
+273
+00:22:14,050 --> 00:22:18,610
+ومتى متعلّمة تتنشط طبعا في نفس الوقت تتنشط اللي هو
+
+274
+00:22:18,610 --> 00:22:22,530
+بيصير فيه Antibody Complex وبتتنشط ال classical
+
+275
+00:22:22,530 --> 00:22:27,950
+pathway of the complement نوع ثاني من ال acute
+
+276
+00:22:27,950 --> 00:22:32,360
+phase زي الـ Mannose binding لكتين أيضًا بترتبظ بالـ
+
+277
+00:22:32,360 --> 00:22:35,340
+Mannose اللي موجودة على سطح البكتيريا وبشتغل as
+
+278
+00:22:35,340 --> 00:22:40,040
+opsonin وبنشرة complement أيضًا they increase
+
+279
+00:22:40,040 --> 00:22:43,500
+the number of circulating neutrophils مطلوبة فيه
+
+280
+00:22:43,500 --> 00:22:48,240
+اللي هو ساحة المعركة during inflammation أيضًا
+
+281
+00:22:48,240 --> 00:22:55,000
+they can activate NK cell نوع
+
+282
+00:22:55,000 --> 00:22:58,520
+ثاني من الـ cytokines ال interferon Alpha و Beta
+
+283
+00:22:59,070 --> 00:23:04,010
+بإمكانهم أن يكونوا مرتبطين بمجموعات كثيرة بعد
+
+284
+00:23:04,010 --> 00:23:10,950
+ما يحصل فيه إصابة فيروسية و بإمكانهم أن يحطموا
+
+285
+00:23:10,950 --> 00:23:18,670
+مجموعات الفيروس و بيمنعوا اللي هو إصابة الخلايا
+
+286
+00:23:18,670 --> 00:23:25,210
+السليمة بالفيروس هذه الـ cytokine interferon Alpha و
+
+287
+00:23:25,210 --> 00:23:30,160
+Beta ماذا فعلوه؟ قالوا إنهم قموا بإضافة الـ MHC
+
+288
+00:23:30,160 --> 00:23:35,640
+Class I Expression على سطح الخلايا الغير مصابة
+
+289
+00:23:35,640 --> 00:23:42,540
+وبالتالي بيؤدي إلى Making a Newly Infected Cell
+
+290
+00:23:44,910 --> 00:23:49,130
+خلاص تتميز الخلايا المصابة ما زال زودنا اللي هو ال
+
+291
+00:23:49,130 --> 00:23:52,710
+expression of MHC class one على سطح الخلايا الغير
+
+292
+00:23:52,710 --> 00:23:57,850
+مصابة بتصير الخلايا المصابة مميزة فبتتنشط ال
+
+293
+00:23:57,850 --> 00:24:02,350
+cytotoxic T lymphocytes و بتخلصنا منها ال gamma
+
+294
+00:24:02,350 --> 00:24:06,690
+interferon اللي بنحكي على Alpha و Beta ال gamma
+
+295
+00:24:06,690 --> 00:24:12,250
+interferon بتفرز من ال NK cell and other
+
+296
+00:24:12,250 --> 00:24:16,730
+effector cells طبعا و بتعمل induction لـ adaptive
+
+297
+00:24:16,730 --> 00:24:21,910
+immune responses نشوف
+
+298
+00:24:21,910 --> 00:24:26,930
+inflammatory cytokine شفنا ال innate cytokine ال
+
+299
+00:24:26,930 --> 00:24:31,090
+inflammatory cytokine activate inflammatory cells و
+
+300
+00:24:31,090 --> 00:24:34,910
+هي بيسموهم pro-inflammatory cytokine و هي مثال
+
+301
+00:24:34,910 --> 00:24:38,070
+عليهم IL-1 و 6 و tumor necrosis factor زي ما
+
+302
+00:24:38,070 --> 00:24:41,490
+شفناهم طول شو بيعملوا قالوا they increased
+
+303
+00:24:41,490 --> 00:24:45,030
+vascular permeability بيزودوا اللي هو ال
+
+304
+00:24:45,030 --> 00:24:50,390
+permeability between إيش within blood vessels طبعا
+
+305
+00:24:50,390 --> 00:24:54,170
+في هذه الحالة ال vascular endothelial cells بيزود
+
+306
+00:24:54,170 --> 00:24:57,030
+أيضًا ال expression of cell adhesion molecules على
+
+307
+00:24:57,030 --> 00:25:01,310
+سطحها زي ال E و ال P selectin و ال ICAM 1 اللي هو
+
+308
+00:25:01,310 --> 00:25:03,690
+intercellular adhesion molecule number one
+
+309
+00:25:03,690 --> 00:25:08,340
+وبالتالي بيسهلوا ارتباط الـ Neutrophil بالـ
+
+310
+00:25:08,340 --> 00:25:11,980
+endothelial cells وهذه أول خطوة من خطوات
+
+311
+00:25:11,980 --> 00:25:15,940
+الفاجوسايتوسس بعدها تحصل فيها الـ Diapedesis وهي
+
+312
+00:25:15,940 --> 00:25:21,500
+بتنطلق الـ Neutrophil إلى مكان الحدث جامعة الـ
+
+313
+00:25:21,500 --> 00:25:29,920
+Interleukin بتجذب تعمل Calling لـ Macrophage بتزعج
+
+314
+00:25:29,920 --> 00:25:35,020
+عليها في منطقة تواجد الـ Antigen transforming
+
+315
+00:25:35,020 --> 00:25:38,840
+growth factor beta بلعب دور كبير أو بسموّه يومر
+
+316
+00:25:38,840 --> 00:25:42,180
+growth factor beta بلعب دور كبير in terminating
+
+317
+00:25:42,180 --> 00:25:44,760
+the inflammatory response هو عبارة عن inhibitory
+
+318
+00:25:44,760 --> 00:25:52,920
+cytokine وبالتالي بيعمل اللي هو accumulation
+
+319
+00:25:52,920 --> 00:25:57,200
+and proliferation للfibroblast في منطقة الحدث and
+
+320
+00:25:57,200 --> 00:26:00,960
+deposition of extracellular matrix proteins اللي
+
+321
+00:26:00,960 --> 00:26:07,900
+مطلوب for tissue repair طب حاجة ثالثة اللي هو ال
+
+322
+00:26:07,900 --> 00:26:11,680
+chemokine أو ال cytokine that affect leukocyte
+
+323
+00:26:11,680 --> 00:26:17,160
+movement قولنا they are usually low molecular
+
+324
+00:26:17,160 --> 00:26:21,800
+weight chemotactic cytokines they have 70 to 80
+
+325
+00:26:21,800 --> 00:26:28,360
+residues and they have conserved sequences and they
+
+326
+00:26:28,360 --> 00:26:33,590
+are potent attractors يعني بيجزوا بقوة for various
+
+327
+00:26:33,590 --> 00:26:36,590
+leukocyte subsets طبعا أهمها الـ monocyte
+
+328
+00:26:36,590 --> 00:26:40,710
+نيوتروفيل الـ monocyte و ال lymphocyte example على
+
+329
+00:26:40,710 --> 00:26:48,350
+ال chemokine includes IL-8 and this is produced by
+
+330
+00:26:48,350 --> 00:26:52,610
+monocytes و mobilize
+
+331
+00:26:54,620 --> 00:27:01,120
+و يدفع النيتروفيل و يدفع الاندروجينيسيس هذا هو الـ
+
+332
+00:27:01,120 --> 00:27:04,600
+cytokine المهم جدا اللي بيحفظ النيتروفيل على
+
+333
+00:27:04,600 --> 00:27:08,260
+ارتباط بالموليكول الانتياجية اللي على السطح اللي
+
+334
+00:27:08,260 --> 00:27:14,960
+إيهاش ال blood vessels رانتس اللي أنا هنشوفه شغل
+
+335
+00:27:14,960 --> 00:27:19,720
+رانتس هو عبارة عن أيضًا cytokine produced by T
+
+336
+00:27:19,720 --> 00:27:26,860
+lymphocytes وبيخلّي الـBasophil تـDegranulate
+
+337
+00:27:26,860 --> 00:27:34,160
+وبينشّر تلينفسايز الـ MCP-1 سنشاهده الآن أيضًا
+
+338
+00:27:34,160 --> 00:27:39,000
+اختصاراتها دي Produced by monocytes and activate
+
+339
+00:27:39,000 --> 00:27:43,440
+macrophages أيضًا Stimulate Basophil Histamine
+
+340
+00:27:43,440 --> 00:27:49,800
+Release وبيحفظ أو بيساعد على تنشيط الـTL-B2
+
+341
+00:27:49,800 --> 00:27:59,190
+pathway الـ MIP1 وبرهن أو Alpha مصادر من Monocytes
+
+342
+00:27:59,190 --> 00:28:06,330
+ومشارك تيربر وان وليس تيربر تو اميونيتي أيضًا هذا
+
+343
+00:28:06,330 --> 00:28:09,870
+MIP1
+
+344
+00:28:09,870 --> 00:28:13,990
+بيتا اللي بيطلع من الـ Monocytes و Neutrophils
+
+345
+00:28:13,990 --> 00:28:24,210
+و Endothelial cells بينافس مع HIV 1 for chemokine
+
+346
+00:28:24,210 --> 00:28:29,230
+receptor binding يعني بنافس الـHIV receptor في
+
+347
+00:28:29,230 --> 00:28:32,970
+الارتباط من ريسبتوره تبقى اختصارات اللي طوبة نجت
+
+348
+00:28:32,970 --> 00:28:36,450
+علينا MCP اللي هو عبارة عن monocyte chemotactic
+
+349
+00:28:36,450 --> 00:28:42,210
+protein و الـMIP هي عبارة عن macrophage
+
+350
+00:28:42,210 --> 00:28:46,880
+inflammatory protein و الـ RANTES هو عبارة عن regulated
+
+351
+00:28:46,880 --> 00:28:57,140
+upon activation normally expressed and secreted دي
+
+352
+00:28:57,140 --> 00:29:00,140
+اللي هو ال cytokines اللي هت stimulate همو 
+
+353
+00:29:00,140 --> 00:29:05,600
+hematopoiesis طبعا هم أكثر هم أخذناهم ال cytokines
+
+354
+00:29:05,600 --> 00:29:10,880
+دي هم قادرين على استخدام حرارة حرارة حرارة و أيضًا
+
+355
+00:29:10,880 --> 00:29:17,720
+they can be produced in vitro و بيستخدموهم في
+
+356
+00:29:17,720 --> 00:29:22,200
+culture media to induce hematopoiesis و بنسميهم
+
+357
+00:29:22,200 --> 00:29:25,800
+collectively colony stimulating factors أمثلة كثيرة
+
+358
+00:29:25,800 --> 00:29:29,960
+على ذلك زي ال macrophage colony stimulating factor
+
+359
+00:29:29,960 --> 00:29:34,700
+و ال granulocyte colony stimulating factor GM-CSF
+
+360
+00:29:34,700 --> 00:29:39,820
+IL-3 و هذا بيسموه أبو ال cytokine stimulate clonal
+
+361
+00:29:39,820 --> 00:29:43,220
+growth of large numbers of cell populations عشان إيه
+
+362
+00:29:43,220 --> 00:29:48,410
+بيسموه father of cytokines ايال تلاتة في وجود
+
+363
+00:29:48,410 --> 00:29:56,770
+الارتروبيتين أيضًا بيؤدي إلى تنشيط أو الارتروبيسيس
+
+364
+00:29:56,770 --> 00:30:03,510
+بيحول النورموبلاس لـ RBCs و ايال سبعة produced by
+
+365
+00:30:03,510 --> 00:30:08,230
+bone marrow and thymic stromal cells بيؤدي إلى
+
+366
+00:30:08,230 --> 00:30:12,160
+differentiation of lymphoid stem cells لـ B
+
+367
+00:30:12,160 --> 00:30:20,060
+-Lymphocytes و T-Lymphocytes الـ G-CSF أيضًا بيستخدم
+
+368
+00:30:20,060 --> 00:30:24,040
+to reverse neutropenia يعني واحد عنده نيوتروبينيا
+
+369
+00:30:24,040 --> 00:30:27,740
+بيزود تنشيط أو تكوين النيوتروفيل
+
+370
+00:30:32,590 --> 00:30:36,270
+بنزود عدد الـ Neutrophils وهذا بيستخدم في حالات الـ
+
+371
+00:30:36,270 --> 00:30:41,430
+high-dose chemotherapy الـ GM-CSF أيضًا is used to
+
+372
+00:30:41,430 --> 00:30:43,490
+treat patients undergoing bone marrow
+
+373
+00:30:43,490 --> 00:30:48,390
+transplantation شو وظيفته بيعمل boosting for
+
+374
+00:30:48,390 --> 00:30:53,220
+clonal expansion of granulocytes and macrophages و
+
+375
+00:30:53,220 --> 00:31:00,480
+هذه أمثلة كثيرة على الـ hematopoietic cytokines طب
+
+376
+00:31:00,480 --> 00:31:04,100
+نيجي نحكي على الـ cytokine receptor قالوا these
+
+377
+00:31:04,100 --> 00:31:09,040
+cytokine can act collectively أنا بحكيها لغاية
+
+378
+00:31:09,040 --> 00:31:12,820
+cytokine collectively can act only on target cells
+
+379
+00:31:14,360 --> 00:31:17,480
+اللي على سطحها receptor for the cytokine ما
+
+380
+00:31:17,480 --> 00:31:20,780
+بيشتغلوا على كل الخلايا فقط الخلايا اللي على سطحها
+
+381
+00:31:20,780 --> 00:31:25,060
+receptor for the cytokine شو بيعملوه الـ resting
+
+382
+00:31:25,060 --> 00:31:31,500
+cell في الغالب do not express receptor ماشي or
+
+383
+00:31:31,500 --> 00:31:36,350
+they express it in low affinity العامل على ذلك IL-2
+
+384
+00:31:36,350 --> 00:31:40,770
+ريسيبتور هو الـ Intermediate Affinity Diameter
+
+385
+00:31:40,770 --> 00:31:47,470
+بيتاجامع الـ Chain أو يمكن أن يكون موصولا في High
+
+386
+00:31:47,470 --> 00:31:51,330
+Affinity Diameter يوم يكون عامل الـ Chain بيكون 
+
+387
+00:31:51,330 --> 00:31:54,230
+Low Affinity بقى دي في الـ resting cell لكن يوم ما
+
+388
+00:31:54,230 --> 00:31:59,410
+تتنشق بتتحول إلى اللي هو triangular يعني three
+
+389
+00:31:59,410 --> 00:32:03,030
+chain
+
+390
+00:32:03,030 --> 00:32:09,350
+receptors اللي هم Alpha, Beta, Gamma وبالتالي in
+
+391
+00:32:09,350 --> 00:32:14,350
+response to IL-2 secretion طبعا المعلومات اللي
+
+392
+00:32:14,350 --> 00:32:17,950
+استقلت من الـ cytokine to cytokine receptor
+
+393
+00:32:17,950 --> 00:32:28,260
+interaction بدأت إلى إلى
+
+394
+00:32:28,260 --> 00:32:36,760
+وضع خطط لمنع وظائف الـ cytokine أثناء الـ
+
+395
+00:32:36,760 --> 00:32:40,420
+inflammatory responses زي في حالات Rheumatoid
+
+396
+00:32:40,420 --> 00:32:44,220
+Arthritis أو Transplantation Rejection يعني اليوم
+
+397
+00:32:44,220 --> 00:32:47,260
+معرفتنا من خلال معرفتنا للـ cytokine to cytokine
+
+398
+00:32:47,260 --> 00:32:53,880
+receptor interaction أقدرنا نستخلص استراتيجيات
+
+399
+00:32:53,880 --> 00:33:00,420
+علاجية لمنع وظائف أو عمل بعض الـ cytokine أثناء
+
+400
+00:33:00,420 --> 00:33:03,620
+حالات مرضية زي Rheumatoid Arthritis أو
+
+401
+00:33:03,620 --> 00:33:11,380
+Transplantation طيب قسموا الـ receptors أو خمس
+
+402
+00:33:11,380 --> 00:33:17,780
+عائلات كبيرة إما immunoglobulin superfamily
+
+403
+00:33:17,780 --> 00:33:24,540
+receptor أو class one cytokine receptor أو بيسموهم
+
+404
+00:33:24,540 --> 00:33:28,420
+hemopoietin receptor family و class 2 cytokine
+
+405
+00:33:28,420 --> 00:33:32,920
+receptor أو بيسموهم interferon receptor family ثم
+
+406
+00:33:32,920 --> 00:33:36,140
+transform أو tumor necrosis factor receptor super
+
+407
+00:33:36,140 --> 00:33:42,060
+family and chemokine receptor family خمس عائلات
+
+408
+00:33:42,060 --> 00:33:46,080
+وهذا هم في الصورة زي ما أنتم شايفين هي الـ
+
+409
+00:33:46,080 --> 00:33:50,560
+immunoglobulin super family وهي أمثلة على cytokine
+
+410
+00:33:50,560 --> 00:33:57,860
+ترتبط فيها ثم class one cytokine receptor وهي كمان
+
+411
+00:33:57,860 --> 00:34:03,320
+أمثلة على ذلك ثم class two ثم human cross factor
+
+412
+00:34:03,320 --> 00:34:08,160
+ثم chemokine receptor أمثلة طبعا زي ما أنتم
+
+413
+00:34:08,160 --> 00:34:13,320
+شايفين receptor لها أشكال مختلفة لكن كلها تشترك في
+
+414
+00:34:13,320 --> 00:34:16,660
+different domains زي ما هنشوف الآن
+
+415
+00:34:19,980 --> 00:34:20,880
+العائلة الأولانية اللي بيجي بتاعة الـ
+
+416
+00:34:20,880 --> 00:34:24,480
+Immunoglobulin Superfamily Receptor لديها على
+
+417
+00:34:24,480 --> 00:34:25,860
+الأقل واحدة من المستوى المشابه للإمينoglobulin
+
+418
+00:34:25,860 --> 00:34:31,080
+يعني زي ما قلنا فيه domain موجودة فيها دي Receptor
+
+419
+00:34:31,080 --> 00:34:34,000
+فالعائلة الأولانية اللي بيجي بتاعة الـ
+
+420
+00:34:34,000 --> 00:34:38,400
+Immunoglobulin Superfamily Receptor وقت تضم عائلة
+
+421
+00:34:38,400 --> 00:34:46,840
+طويلة من الـ Receptor بيحتوي Receptor تبعها at
+
+422
+00:34:46,840 --> 00:34:53,480
+least for one immunoglobulinLike Domain Class I
+
+423
+00:34:53,480 --> 00:34:57,900
+سيطوكاين ريسبتور أو سموها hemopoietin receptor
+
+424
+00:34:57,900 --> 00:35:06,440
+family بتتكون من two polypeptide chain وواحدة
+
+425
+00:35:06,440 --> 00:35:11,380
+alpha مشهورة عن الـ signal transduction واحدة Alpha
+
+426
+00:35:11,380 --> 00:35:14,400
+والتانية Beta اللي هي مسؤولة عن الـ signal
+
+427
+00:35:14,400 --> 00:35:18,820
+transduction وممكن تكون إما Beta وإما Gamma حسب
+
+428
+00:35:18,820 --> 00:35:23,680
+نوع اللي هو الـ cytokine معظم الـ cytokine بتستخدم
+
+429
+00:35:23,680 --> 00:35:28,660
+اللي هو class one family
+
+430
+00:35:28,660 --> 00:35:36,260
+class one receptor family أمثلة عليها هي زي الـ IL2
+
+431
+00:35:36,260 --> 00:35:46,190
+IL3 IL5Y15 و GM و GCSF Class 2 أو بيسموها الـ
+
+432
+00:35:46,190 --> 00:35:52,730
+Interferon ماشي Receptor family اللي
+
+433
+00:35:52,730 --> 00:35:58,050
+كانت تبعها هو الـ Interferon and they have
+
+434
+00:35:58,050 --> 00:36:06,320
+biological activity that overlap مع الذين مرتبطين
+
+435
+00:36:06,320 --> 00:36:12,960
+بـ Interferon زي IL-10, Tumor Necrosis Factor
+
+436
+00:36:12,960 --> 00:36:20,480
+Receptor Superfamily مدينة من خلال
+
+437
+00:36:20,480 --> 00:36:24,580
+مجموعة من الـ Adapter Protein بيسموها الـ Tumor
+
+438
+00:36:24,580 --> 00:36:30,600
+Necrosis Factor Receptor Associated Factor و هذه
+
+439
+00:36:30,600 --> 00:36:35,600
+الـ Receptor والنكروسيس فاكتوريا الانتشارية
+
+440
+00:36:35,600 --> 00:36:36,180
+الانتشارية الانتشارية الانتشارية الانتشارية
+
+441
+00:36:36,180 --> 00:36:38,240
+الانتشارية الانتشارية الانتشارية الانتشارية
+
+442
+00:36:38,240 --> 00:36:39,620
+الانتشارية الانتشارية الانتشارية الانتشارية
+
+443
+00:36:39,620 --> 00:36:43,440
+الانتشارية الانتشارية الانتشارية الانتشارية
+
+444
+00:36:43,440 --> 00:36:48,460
+الانتشارية الانتشارية الانتشارية الانتشارية
+
+445
+00:36:48,460 --> 00:36:48,920
+الانتشارية الانتشارية الانتشارية الانتشارية
+
+446
+00:36:48,920 --> 00:36:51,020
+الانتشارية الانتشارية الانتشارية الانتشارية
+
+447
+00:36:51,020 --> 00:36:52,740
+الانتشارية الانتشارية الانتشارية الانتشارية
+
+448
+00:36:52,740 --> 00:37:00,540
+الانتشارية الانتشارية
+
+449
+00:37:01,880 --> 00:37:25,120
+وهي موجودة في مجموعة
+
+450
+00:37:25,120 --> 00:37:28,620
+متباينة من الـ pathogen مثل
+
+451
+00:37:31,150 --> 00:37:35,750
+Streptococcus pneumonia اللي بترتبط بالـ Platelet
+
+452
+00:37:35,750 --> 00:37:40,270
+Activating Factor Receptor بترتبط بالـ Plasmodium
+
+453
+00:37:40,270 --> 00:37:47,110
+V-Vax اللي برتبط بالـ Duffy Blood Group Antigen
+
+454
+00:37:47,110 --> 00:37:54,410
+بترتبط بالـ HIV-1 اللي الـ Receptor تبعه عبارة عن
+
+455
+00:37:54,410 --> 00:37:59,310
+CXC R4 و Chemokine Receptor 5
+
+456
+00:38:01,950 --> 00:38:05,790
+هؤلاء المسؤولين لـ Viral Entry into T Cell and
+
+457
+00:38:05,790 --> 00:38:10,950
+Macrophage Respectively وهذا
+
+458
+00:38:10,950 --> 00:38:18,050
+عبارة عن دور الـ cytokine in disease لاحظوا الخِجر
+
+459
+00:38:18,050 --> 00:38:25,490
+كيف تصبح القالية طبعا هذا عبارة عن Receptor مرتبط
+
+460
+00:38:25,490 --> 00:38:28,690
+بـ Adapter بروتيناي في الداخل من داخل الـ
+
+461
+00:38:28,690 --> 00:38:30,730
+Intracytoplasmic
+
+462
+00:38:32,560 --> 00:38:37,500
+بورشين مرتبط بالـ جاكي بروتين أي الـ cytokine يفرز
+
+463
+00:38:37,500 --> 00:38:44,680
+يروح ومرتبط ب الـ receptor تبعه فمتما ارتبط بالـ
+
+464
+00:38:44,680 --> 00:38:48,040
+receptor تبعه بيصير فيه الـ dimerization شايفين
+
+465
+00:38:48,040 --> 00:38:53,400
+كده متباعد الـ receptor عن بعض لكن يوم يجي الـ
+
+466
+00:38:53,400 --> 00:38:57,040
+cytokine يفرز بيعمل dimerization ل الـ receptors
+
+467
+00:38:57,040 --> 00:39:00,630
+متما صار في dimerization و يرشكله يعني بيصير
+
+468
+00:39:00,630 --> 00:39:03,170
+activation للجاك اللي هو الـ adaptor البروتين
+
+469
+00:39:03,170 --> 00:39:08,230
+الداخلي ماشي و هذه عبارة عن energy dependent
+
+470
+00:39:08,230 --> 00:39:14,430
+process نفقد فيها طاقة ATP بيتحول ل ADP وفي نفس
+
+471
+00:39:14,430 --> 00:39:20,870
+الوقت بيصير phosphorylation لل اللي هو الجاك يعني
+
+472
+00:39:20,870 --> 00:39:25,750
+بالضبط وعندما صار في activation للجاك بنشطلنا
+
+473
+00:39:25,750 --> 00:39:32,770
+another اللي هو البروتين بنسموه STAT بيعملوا
+
+474
+00:39:32,770 --> 00:39:36,030
+phosphorylation ما ت برضه ما تصرفوا الـ
+
+475
+00:39:36,030 --> 00:39:38,990
+phosphorylation لل STAT بيروحوا وصارله
+
+476
+00:39:38,990 --> 00:39:46,050
+dimerization وإذا اتحصر dimerized الـ STAT بينتقل
+
+477
+00:39:46,050 --> 00:39:52,510
+إلى الـ nucleus وهناك برتبط بجينات المسئولة عن
+
+478
+00:39:52,510 --> 00:39:59,690
+transcription of specific air اللي هو action
+
+479
+00:40:01,290 --> 00:40:06,410
+مشي بيدها على السريع في الوضع الطبيعي الـ Receptor
+
+480
+00:40:06,410 --> 00:40:11,010
+متباعد مرتبط زي ما أنتم شايفين إيه بيتكوين من
+
+481
+00:40:11,010 --> 00:40:15,210
+Extra Cellular و Transmembrane و Intracytoplasmic
+
+482
+00:40:15,210 --> 00:40:19,390
+portion الـ Intracytoplasmic portion مرتبط
+
+483
+00:40:19,390 --> 00:40:24,370
+ببروتينات بيسموها Adapter Protein اللي هو الـ Jack
+
+484
+00:40:24,370 --> 00:40:30,470
+اللي هو عبارة عن Janus Activated Kinase ماشي
+
+485
+00:40:31,850 --> 00:40:35,350
+This ده هو بمجرد ما يفرز الـ cytokine
+
+486
+00:40:35,350 --> 00:40:41,110
+Automatically الريسيبتر بيسمله dimerization بيجرب
+
+487
+00:40:41,110 --> 00:40:45,370
+من بعضه ومتما جرب من بعضه ده هو صارله
+
+488
+00:40:45,370 --> 00:40:49,130
+dimerization يعني غير شكله فدي رسالة للـ jack الـ
+
+489
+00:40:49,130 --> 00:40:53,650
+routine to be activated فده هو بتنطق طبعا هذه
+
+490
+00:40:53,650 --> 00:40:57,670
+energy independent زي ما شفنا الـ ATP بيفقد ومتحول
+
+491
+00:40:57,670 --> 00:41:02,560
+لـ ADP هتنشط الـ jack اللي بنشطلنا على الـ
+
+492
+00:41:02,560 --> 00:41:05,060
+transcriptional factor اللي هو عبارة عن الستات
+
+493
+00:41:05,060 --> 00:41:11,440
+البروتين ولما اتنشط الستات بس الـ modernization
+
+494
+00:41:11,440 --> 00:41:16,940
+اللي بيتسهل دخوله ل الـ nucleus وهناك يروح على الـ
+
+495
+00:41:16,940 --> 00:41:21,600
+DNA ويرتبط بجينات معينة بيحفظ على الـ transcription
+
+496
+00:41:21,600 --> 00:41:27,680
+تبعتها فرصة اه وبالتالي بيكون بروتين which induce
+
+497
+00:41:27,680 --> 00:41:28,320
+activity
+
+498
+00:41:34,750 --> 00:41:39,810
+Cytokine must generate intracellular signal طبعا
+
+499
+00:41:39,810 --> 00:41:45,390
+هذا يؤدي إلى انتجر الـ active transcriptional
+
+500
+00:41:45,390 --> 00:41:49,230
+factor وبالتالي في نهاية بيصير فيه gene expression
+
+501
+00:41:49,230 --> 00:41:53,710
+زي ما أشوف مطولة هذا عبارة عن شرح لهذا الموضوع
+
+502
+00:41:53,710 --> 00:41:56,870
+اللي قبل أن أتكلم عنه binding of a cytokine to its
+
+503
+00:41:56,870 --> 00:42:01,270
+cellular receptor ماذا بيعمل؟ بيعمل polymerization
+
+504
+00:42:01,270 --> 00:42:02,130
+أو
+
+505
+00:42:05,690 --> 00:42:09,850
+Signaling is initiated by activation of JAK, نشط
+
+506
+00:42:09,850 --> 00:42:14,530
+JAK kinases. هذا عبارة عن family of cytosolic
+
+507
+00:42:14,530 --> 00:42:20,030
+protein tyrosine kinase بيصير في interaction that
+
+508
+00:42:20,030 --> 00:42:27,100
+interact with the cytoplasmic domain طبعا هذا بيؤدي الى
+
+509
+00:42:27,100 --> 00:42:30,760
+phosphorylation of tyrosine residue التي موجودة في
+
+510
+00:42:30,760 --> 00:42:34,400
+الـcytoplasmic domain of the receptor إن شرحته هذا
+
+511
+00:42:34,400 --> 00:42:38,320
+الكلام طويل شرحته على الفجر أنا and on a family of
+
+512
+00:42:38,320 --> 00:42:41,460
+transcriptional factors بيسموها STAT أو باختصارها
+
+513
+00:42:41,460 --> 00:42:46,820
+signal transducer and activator of
+
+514
+00:42:46,820 --> 00:42:47,640
+transcription
+
+515
+00:42:51,360 --> 00:42:55,400
+بالطبع مرة كانت فوسفوريلية من جراء التشريكات
+
+516
+00:42:55,400 --> 00:42:56,020
+التشريكات التشريكات التشريكات التشريكات التشريكات
+
+517
+00:42:56,020 --> 00:42:57,380
+التشريكات التشريكات التشريكات التشريكات التشريكات
+
+518
+00:42:57,380 --> 00:42:59,620
+التشريكات التشريكات التشريكات التشريكات التشريكات
+
+519
+00:42:59,620 --> 00:42:59,920
+التشريكات التشريكات التشريكات التشريكات التشريكات
+
+520
+00:42:59,920 --> 00:43:01,940
+التشريكات التشريكات التشريكات التشريكات التشريكات
+
+521
+00:43:01,940 --> 00:43:02,180
+التشريكات التشريكات التشريكات التشريكات التشريكات
+
+522
+00:43:02,180 --> 00:43:12,640
+التشريكات التشريكات التشريكات التشريكات التشريك
+
+523
+00:43:14,550 --> 00:43:19,130
+بتكون مصحوبة بـ cytoplasmic protein بيسموهم بإفراز
+
+524
+00:43:19,130 --> 00:43:22,870
+طبعا تكوين cytoplasmic protein بيسموهم suppressor
+
+525
+00:43:22,870 --> 00:43:28,590
+of cytokine suppressor of cytokine أو بيسموهم SOCS 
+
+526
+00:43:28,590 --> 00:43:34,290
+protein and this signaling protein regulate the
+
+527
+00:43:34,290 --> 00:43:38,590
+signal transduction من خلال ارتباط بـ cytokine
+
+528
+00:43:38,590 --> 00:43:41,590
+receptor وبالتالي ال signaling protein
+
+529
+00:43:45,750 --> 00:43:51,090
+بيصير لها دي degradation يعني .. يعني متى ما هي
+
+530
+00:43:51,090 --> 00:43:56,130
+بتنافس ال .. اللي هو ال signaling protein في
+
+531
+00:43:56,130 --> 00:44:00,190
+الارتباط بال receptor تبعته وبالتالي بيبطل في
+
+532
+00:44:00,190 --> 00:44:05,030
+action لمين؟ في تكوين ال cytokine أو وبالتالي مافيش
+
+533
+00:44:05,030 --> 00:44:09,970
+reaction دي regulation of normal SOCS بلعب دور
+
+534
+00:44:09,970 --> 00:44:21,070
+كبير في حالات مرضية مختلفة اللقب في هذه الطبال
+
+535
+00:44:21,070 --> 00:44:28,050
+الناحية العلاجية طبعا استخدام ال protein can
+
+536
+00:44:28,050 --> 00:44:35,090
+manipulate the function of certain cytokine
+
+537
+00:44:35,090 --> 00:44:40,270
+وبالتالي we can treat diseases by using them
+
+538
+00:44:43,160 --> 00:44:47,440
+طب نشوف دورهم دور ال cytokine في حالات مرضية نمر
+
+539
+00:44:47,440 --> 00:44:54,200
+واحد toxic shock syndrome غالبا بنشوفها لما قلنا
+
+540
+00:44:54,200 --> 00:44:58,200
+لما بيخش ال antigen بكمية كبيرة بيتوفرز ال
+
+541
+00:44:58,200 --> 00:45:00,880
+cytokine بكمية كبيرة وبتعملنا toxic shock
+
+542
+00:45:00,880 --> 00:45:04,080
+syndrome شو اللي بيصير؟ it's initiated by the
+
+543
+00:45:04,080 --> 00:45:07,020
+release of super antigen في حالة ال super antigen
+
+544
+00:45:08,870 --> 00:45:11,170
+شو اللي بيصير؟ بتكون كمية كبيرة من الـ cytokine
+
+545
+00:45:11,170 --> 00:45:17,310
+التي بتنشر كمية كبيرة من الـ T lymphocyte هو يعني
+
+546
+00:45:17,310 --> 00:45:20,490
+بيقولوا إن هو الفرق بين ال antigen العادي وال
+
+547
+00:45:20,490 --> 00:45:22,690
+super antigen دخول ال antigen العادي وال super
+
+548
+00:45:22,690 --> 00:45:27,810
+antigen في تنشيط ال T lymphocyte تقريبا في وجود ال
+
+549
+00:45:27,810 --> 00:45:34,490
+antigen العادي واحد من عشر تلاف من ال T lymphocyte
+
+550
+00:45:34,490 --> 00:45:40,820
+التي موجودة في الجسم تتنشط بينما في وجود ال super
+
+551
+00:45:40,820 --> 00:45:44,760
+antigen كل ال cytokine التليفوسيت التي موجودة في
+
+552
+00:45:44,760 --> 00:45:50,700
+الجسم تتنشر فتخيل الفرق بين التانين طبعا هذا بيؤدي
+
+553
+00:45:50,700 --> 00:45:55,980
+إلى هذا بي .. بي .. بي .. بي .. بيصير في وجود
+
+554
+00:45:55,980 --> 00:45:59,480
+excessive
+
+555
+00:45:59,480 --> 00:46:04,200
+production of cytokine ووجود لل cytokine بكمية
+
+556
+00:46:04,200 --> 00:46:09,980
+كبيرة بتعمل dysregulation للCytokine Network بيؤدي
+
+557
+00:46:09,980 --> 00:46:14,680
+إلى IL-1 و TNF و هدولة
+
+558
+00:46:14,680 --> 00:46:17,760
+ال cytokine two cytokine دي induce systemic
+
+559
+00:46:17,760 --> 00:46:24,000
+reaction بما فيها الفيور و blood clotting diarrhea
+
+560
+00:46:24,000 --> 00:46:28,080
+drop in blood pressure and shock و بعض المرات
+
+561
+00:46:28,080 --> 00:46:35,190
+بيصير فيه death ماشي يبقى إفراز ال IL-1 و ال TNF
+
+562
+00:46:35,190 --> 00:46:40,690
+بكمية كبيرة نتيجة وجود انتيجن بكمية
+
+563
+00:46:40,690 --> 00:46:45,590
+كبيرة و تنشيط الليمفوسايت بكمية كبيرة بيؤدي إلى
+
+564
+00:46:45,590 --> 00:46:50,030
+اللي هو toxic shock syndrome اللي من مظاهرها طبعا
+
+565
+00:46:50,030 --> 00:46:53,430
+fever و زي ما قلنا ده هو blood clotting diarrhea
+
+566
+00:46:53,430 --> 00:46:58,350
+drop in blood pressure و shock و ممكن تؤدي الى
+
+567
+00:46:58,350 --> 00:47:03,470
+الوفاة حالة الـ Bacterial Septic Shock أيضًا
+
+568
+00:47:03,470 --> 00:47:08,690
+Overproduction of Cytokine التي غالبًا بتكون
+
+569
+00:47:08,690 --> 00:47:12,010
+مصحوبة في وجود Gram Negative Bacterial Infection
+
+570
+00:47:12,010 --> 00:47:18,970
+أو Endotoxin produced by these bacteria بتنشطلنا
+
+571
+00:47:18,970 --> 00:47:24,530
+الماكروفاج وبالتالي بتفرز IL-1 وTumor Necrosis
+
+572
+00:47:24,530 --> 00:47:29,740
+Factor التي شفناهم Alphaالذي بيؤدي الى fatal form
+
+573
+00:47:29,740 --> 00:47:42,780
+of bacterial septic shock حالة
+
+574
+00:47:42,780 --> 00:47:50,300
+ال cancer في حالة ال cancer بيصير
+
+575
+00:47:50,300 --> 00:47:56,020
+فيه طبعا أكثر من خلايا several lymphoid و myeloid
+
+576
+00:47:56,020 --> 00:47:56,520
+cancer
+
+577
+00:47:59,730 --> 00:48:02,570
+التي are associated with abnormally high level of
+
+578
+00:48:02,570 --> 00:48:06,410
+cytokine وبالتالي بيصير برضه cytokine receptor
+
+579
+00:48:06,410 --> 00:48:10,990
+expression بكميات كبيرة فعلى سبيل المثال T cell
+
+580
+00:48:10,990 --> 00:48:21,250
+لوكيميا غالبا يكون فيها T cell أو نتيجة T cell لوكيميا
+
+581
+00:48:21,250 --> 00:48:23,150
+virus اللي هو ال HDLV1
+
+582
+00:48:25,350 --> 00:48:33,530
+هذه الفيروسات يمكنها إصابة الليمفوسايت
+
+583
+00:48:33,530 --> 00:48:41,630
+ووجد أنها بتفرز IL-2 بكميات كبيرة و IL-2 receptor في
+
+584
+00:48:41,630 --> 00:48:47,750
+غياب الانتيجن هذا بيؤدي الى autocrine stimulation
+
+585
+00:48:47,750 --> 00:48:52,750
+of infected T cell وطبعا بيؤدي الى uncontrolled
+
+586
+00:48:52,750 --> 00:48:59,450
+growth في حالات الـ T cell leukemia التي طبعا مسببها
+
+587
+00:48:59,450 --> 00:49:00,610
+HTLV-1
+
+588
+00:49:05,050 --> 00:49:08,930
+T lymphocyte is infected with this virus وبالتالي
+
+589
+00:49:08,930 --> 00:49:13,030
+تفرز ال IL-2 بكميات كبيرة كمان ال receptor تبع ال
+
+590
+00:49:13,030 --> 00:49:19,590
+IL-2 بيفرز بكميات كبيرة وبالتالي بتتنشط اللي هو ال
+
+591
+00:49:19,590 --> 00:49:26,410
+T lymphocyte عدد كبير من T lymphocyte في غياب ال
+
+592
+00:49:26,410 --> 00:49:31,830
+antigen و هذا بيؤدي الى autocrine stimulation
+
+593
+00:49:38,860 --> 00:49:43,300
+مثال آخر نيو بلاستيك B cell كمية كبيرة بينما ينتج
+
+594
+00:49:43,300 --> 00:49:49,680
+IL-6 مثال آخر هودجكين ديزيز كمية كبيرة من IL
+
+595
+00:49:49,680 --> 00:49:58,440
+-5 تنتج في ال auto immunity و ال disease التي
+
+596
+00:49:58,440 --> 00:50:00,480
+تتعلق بالليمفوسايت
+
+597
+00:50:02,980 --> 00:50:10,680
+أشعر بالتحكم التحكمي لجيلات وجيلات الانتيوبيا
+
+598
+00:50:10,680 --> 00:50:16,500
+والتحكم في الانتيوبيا. شو
+
+599
+00:50:16,500 --> 00:50:23,760
+بتعمل؟ بعضها بسبب حركة T-Helper Cell.
+
+600
+00:50:28,980 --> 00:50:35,360
+activation of T-Helper subset cell
+
+601
+00:50:35,360 --> 00:50:39,740
+وبالتالي الـ cytokine التي بتفرز منها بما فيها IL
+
+602
+00:50:39,740 --> 00:50:47,900
+-10 و Gamma Interferon و IL-4 و several cytokine
+
+603
+00:50:47,900 --> 00:50:53,960
+and cytokine receptor abnormality سجلت are
+
+604
+00:50:53,960 --> 00:50:59,310
+associated with autosystemic autoimmune disease زي
+
+605
+00:50:59,310 --> 00:51:02,570
+الـ SLE وبعض autoimmune disease التي تدخل فيها
+
+606
+00:51:02,570 --> 00:51:07,090
+الخلايا التائية بكمية كبيرة الـ cytokine أيضًا تلعب دور
+
+607
+00:51:07,090 --> 00:51:10,610
+كبير في ال pathophysiology وبعض immune based
+
+608
+00:51:10,610 --> 00:51:14,190
+disease بما فيها الألرجي والأزمة وinflammatory
+
+609
+00:51:14,190 --> 00:51:16,030
+disease زي ال rheumatoid arthritis
+
+610
+00:51:21,420 --> 00:51:26,140
+Therapeutic and diagnostic exploitation of
+
+611
+00:51:26,140 --> 00:51:31,040
+cytokine and cytokine receptor كيفية الاستفادة
+
+612
+00:51:31,040 --> 00:51:36,880
+وتسخير هذه العلاجات تسخير هذه ال cytokine و ال
+
+613
+00:51:36,880 --> 00:51:40,460
+cytokine receptor في ناحية علاجية cytokine
+
+614
+00:51:40,460 --> 00:51:44,140
+inhibitor أو antagonist هذه أول حاجة كيف ممكن نعمل
+
+615
+00:51:44,140 --> 00:51:49,300
+وقف على بال اللي هو cytokine circulating soluble
+
+616
+00:51:49,300 --> 00:51:50,340
+cytokine receptor
+
+617
+00:52:00,900 --> 00:52:04,640
+بالتالي لو عملنا neutralization للنشاط من هذه الـ
+
+618
+00:52:04,640 --> 00:52:10,640
+cytokine أو الريسيبتور نعمل عملية توقيف لنشاط هذا
+
+619
+00:52:10,640 --> 00:52:14,660
+الـ cytokine عملية
+
+620
+00:52:14,660 --> 00:52:18,380
+ارتباط الـ cytokine بالريسيبتور تبعه هي عبارة عن
+
+621
+00:52:18,380 --> 00:52:23,370
+process specific يوم ما نعمل neutralization إما للـ
+
+622
+00:52:23,370 --> 00:52:27,150
+cytokine وإما للـ receptor مننتوا احنا بنوقف نشاط
+
+623
+00:52:27,150 --> 00:52:32,450
+عمل هذا الـ cytokine مثال على ذلك these inhibitors
+
+624
+00:52:32,450 --> 00:52:35,870
+التي
+
+625
+00:52:35,870 --> 00:52:41,440
+ترتبط بالـIL-2، IL-4، IL-6، IL-7، IFN-γ، 
+
+626
+00:52:41,440 --> 00:52:45,360
+Interferon وTumor Necrosis Factor. Tumor Necrosis
+
+627
+00:52:45,360 --> 00:52:49,640
+Factor Inhibitor على سبيل المثال تستخدم في اللي هو
+
+628
+00:52:49,640 --> 00:52:55,280
+علاج روماتويد أرثراتيز لأن في روماتويد أرثراتيز في 
+
+629
+00:52:55,280 --> 00:52:57,740
+increased level of tumor necrosis factor IL-1
+
+630
+00:52:57,740 --> 00:53:04,640
+موجودة في ال joints IL-1 Receptor Antagonist اللي 
+
+631
+00:53:04,640 --> 00:53:09,330
+هو الـ Antagonist للـ IL-1 Receptor مرتبط بالـ IL-1
+
+632
+00:53:09,330 --> 00:53:13,770
+Receptor اللي موجود على سطح الـ CD4<sup>+</sup>T-Lymphocyte
+
+633
+00:53:13,770 --> 00:53:19,110
+وبالتالي بيرنع ارتباط الـ IL-1 وبالتالي مافيش 
+
+634
+00:53:19,110 --> 00:53:27,890
+activation IL-1 Receptor Antagonist بيسموه IL-1RA
+
+635
+00:53:27,890 --> 00:53:34,750
+يعني Receptor Antagonist بيستخدم في علاج chronic
+
+636
+00:53:34,750 --> 00:53:40,090
+inflammatory diseases أيضًا we can استخدام ال
+
+637
+00:53:40,090 --> 00:53:43,770
+inhibitor كعلاج 
+
+638
+00:53:43,770 --> 00:53:50,390
+أيضًا we can reverse cellular deficiency يعني واحد
+
+639
+00:53:50,390 --> 00:53:53,290
+عنده neutropenia زي ما شفنا في حالة ال
+
+640
+00:53:53,290 --> 00:53:58,120
+chemotherapy بكيف بدنا نعملها reversing بنبدي
+
+641
+00:53:58,120 --> 00:54:04,400
+cytokine تحفيز عملية  growth of اللي هو
+
+642
+00:54:04,400 --> 00:54:08,900
+neutrophil هذا بيصير في حالة ال chemotherapy
+
+643
+00:54:08,900 --> 00:54:15,780
+ويأمثل على ذلك اللي هو G-CSF و GM-CSF أيضًا في 
+
+644
+00:54:15,780 --> 00:54:20,760
+إمكانية الاستغلالهم في علاج ال immunodeficiency
+
+645
+00:54:22,310 --> 00:54:24,950
+مثلًا في حالة الـ X-linked Agammaglobulinemia
+
+646
+00:54:24,950 --> 00:54:31,350
+ممكن أن يعالجها بالـ G-CSF to reverse the 
+
+647
+00:54:31,350 --> 00:54:36,150
+neutropenia Gamma Interferon بيقلل من ال severity
+
+648
+00:54:36,150 --> 00:54:42,850
+of infection غالبًا بواسطة زيادة الـ non-oxidative
+
+649
+00:54:42,850 --> 00:54:48,510
+antimicrobial activity أيضًا treatment of cancer
+
+650
+00:54:48,510 --> 00:54:50,830
+and transplantation
+
+651
+00:54:53,250 --> 00:54:57,630
+الشخص اللذي يتعامل مع مجتمع الـ NK cell أو
+
+652
+00:54:57,630 --> 00:55:03,550
+الـ Lymphocyte فيوزود كميات كبيرة من ال IL-2 تؤدي إلى
+
+653
+00:55:03,550 --> 00:55:08,790
+تكوين الـ NK cell effector اللي هم قوية لديها
+
+654
+00:55:08,790 --> 00:55:09,290
+عملية عملية عملية عملية عملية عملية عملية عملية
+
+655
+00:55:09,290 --> 00:55:12,390
+عملية عملية عملية عملية عملية عملية عملية عملية
+
+656
+00:55:12,390 --> 00:55:13,550
+عملية عملية عملية عملية عملية عملية عملية عملية
+
+657
+00:55:13,550 --> 00:55:15,070
+عملية عملية عملية عملية عملية عملية عملية عملية
+
+658
+00:55:15,070 --> 00:55:16,030
+عملية عملية عملية عملية عملية عملية عملية عملية 
+
+659
+00:55:16,340 --> 00:55:19,700
+as it enhances the expression و عمل الـ CD28
+
+660
+00:55:19,700 --> 00:55:23,740
+للموليكيول ما يحصل هو نأخذ أنكسي الأوساط
+
+661
+00:55:23,740 --> 00:55:28,280
+الـ lymphocytes ونعملها culture في وجود IL-2 فبصير
+
+662
+00:55:28,280 --> 00:55:34,420
+في كميات كبيرة من الخلايا المناعية الفاعلة هذه و
+
+663
+00:55:34,420 --> 00:55:39,200
+these have potent antitumor activity اللي طبعا يوم
+
+664
+00:55:39,200 --> 00:55:41,880
+ما تتنشط بيصير فيه إفراز لـ Gamma Interferon على
+
+665
+00:55:41,880 --> 00:55:46,100
+سبيل المثال إيش؟ كيف بيشتغل؟ 
+
+666
+00:55:48,470 --> 00:55:53,850
+هو الـ Killing of Tumor Cell كيف؟ لأنه بيزود ال
+
+667
+00:55:53,850 --> 00:55:57,210
+expression of MHC Class II molecule على سطح
+
+668
+00:55:57,210 --> 00:56:02,730
+الخلايا السرطانية Cytokine Receptor Specific
+
+669
+00:56:02,730 --> 00:56:08,270
+Antibody ممكن نستخدم اللي هو antibody specific
+
+670
+00:56:08,270 --> 00:56:12,130
+لـ cytokine receptor معين
+
+671
+00:56:19,480 --> 00:56:25,940
+مثال على ذلك ان قضل T cell leukemia lymphoma ATLL
+
+672
+00:56:25,940 --> 00:56:31,960
+الليوكيميا ال اكسبيس ايالتو ريسبتور Alpha Chain
+
+673
+00:56:31,960 --> 00:56:39,100
+بو CD25 فاليوم بيستخدموا ال entity Anti-CD25
+
+674
+00:56:39,100 --> 00:56:45,720
+Antibody طبعا هذه بتعمل Anti-Tag Antibody بيسموها
+
+675
+00:56:45,720 --> 00:56:51,860
+That induce response in one third of the patients
+
+676
+00:56:51,860 --> 00:56:56,260
+يعني المهم أثبتت جدارتها في تلت حالات .. تلت
+
+677
+00:56:56,260 --> 00:57:04,800
+المرضى في هذه الحالة Anti-T Anti-CD25 Therapy اليوم
+
+678
+00:57:04,800 --> 00:57:08,540
+بيستخدم as part of regimen of immunosuppressive
+
+679
+00:57:08,540 --> 00:57:12,620
+therapy بنشوفها في كل مرضى ال transplanted patients
+
+680
+00:57:12,620 --> 00:57:19,260
+اللي بياخدوا كنوع من أنواع اللي هو التثبيت ال
+
+681
+00:57:19,260 --> 00:57:26,480
+allograft أو ال transplant rejection Treatment
+
+682
+00:57:26,480 --> 00:57:32,670
+of allergy and asthma اليوم بعمل انجيكشن لـ IL-4 شو
+
+683
+00:57:32,670 --> 00:57:39,150
+بتعمل IL-4؟ بتوعها عاملة class switching لـ B
+
+684
+00:57:39,150 --> 00:57:44,810
+lymphocytes وبالتالي بتغير نوع ال antibody اللي
+
+685
+00:57:44,810 --> 00:57:50,110
+متكون في حالة ال RIG بتغير من ال IgE لل IgG
+
+686
+00:57:52,720 --> 00:57:56,360
+بعد ذلك يجب أن تستخدم الـ IL-4 Receptor وليس فقط 
+
+687
+00:57:56,360 --> 00:58:02,100
+الـ IL-4 الـ cytokine كمان الريسبتور تبعه كمان لا
+
+688
+00:58:02,100 --> 00:58:09,260
+ننسى Th17 T cell و IL-17 الـ cytokine family
+
+689
+00:58:09,260 --> 00:58:17,800
+ماذا بتعمل؟ قالوا هذه بتعمل filling the gap كيف؟
+
+690
+00:58:17,800 --> 00:58:24,850
+قالوا بإمكانهم إستعمال إجارة الإيمينية. ما
+
+691
+00:58:24,850 --> 00:58:27,870
+يفعل IL-17؟ جاله Stimulate Demobilization and
+
+692
+00:58:27,870 --> 00:58:31,590
+Generation of Neutrophil. وبالتالي، يقوموا بإعادة
+
+693
+00:58:31,590 --> 00:58:34,810
+الفرق بين الإجارة الإيمينية والإجارة الإجارية
+
+694
+00:58:34,810 --> 00:58:44,230
+الإيمينية. IL-17 يشتغل في حالات الإجارة الإيمينية
+
+695
+00:58:44,230 --> 00:58:44,650
+والإجارة الإيمينية.
+
+696
+00:58:49,190 --> 00:58:53,070
+الـ innate والـ adaptive immune responses أيضًا الـ
+
+697
+00:58:53,070 --> 00:58:57,210
+Th17 بتمثل
+
+698
+00:58:57,210 --> 00:59:04,310
+الذراع الـ adaptive immune response وبتمثل
+
+699
+00:59:04,310 --> 00:59:07,970
+طبعًا ذراع قوي in protection against extracellular
+
+700
+00:59:07,970 --> 00:59:16,480
+bacteria and some fungi وهذه بعض البكتيريا أو
+
+701
+00:59:16,480 --> 00:59:22,380
+الفطريات التي تغطيها البروانوتيا البرتوما IL-17
+
+702
+00:59:22,380 --> 00:59:28,420
+تدفع تحريك النيوترفيل النيوترفيل 
+
+703
+00:59:28,420 --> 00:59:33,400
+نيوترفيل نيوترفيل نيوترفيل نيوترفيل نيوترفيل
+
+704
+00:59:33,400 --> 00:59:38,680
+نيوترفيل
+
+705
+00:59:47,940 --> 00:59:58,540
+بالتأكيد الـ Key Mediator يعتبر الـ IL-17
+
+706
+00:59:58,540 --> 01:00:01,720
+مُدير
+
+707
+01:00:01,720 --> 01:00:09,760
+مُختلف من الـ Auto-inflammatory cytokine وطبعًا
+
+708
+01:00:09,760 --> 01:00:17,350
+هنابين لنا دور أو الخطوات اللي بتكون فيها الـ
+
+709
+01:00:17,350 --> 01:00:25,490
+neutrophil to induce its action طبعًا
+
+710
+01:00:25,490 --> 01:00:29,470
+هذه عبارة عن خطوات الـ phagocytosis زي ما أنتم 
+
+711
+01:00:29,470 --> 01:00:34,530
+شايفين هذه عبارة عن blood endothelial cells بتبطن
+
+712
+01:00:34,530 --> 01:00:38,170
+جدار الوعاء الدموي في الوضع الطبيعي الـ neutrophil
+
+713
+01:00:38,170 --> 01:00:44,270
+is rolling على سطح الـ endothelial cells once
+
+714
+01:00:44,270 --> 01:00:52,480
+activated كما ياديرانس أول خطوة من الخطوات اللي هو
+
+715
+01:00:52,480 --> 01:00:56,840
+الـ phagocytosis ثم بعد ذلك طبعًا ال adherence with 
+
+716
+01:00:56,840 --> 01:01:00,040
+adhesion molecule على سطح الـ endothelial cell
+
+717
+01:01:00,040 --> 01:01:03,260
+بتعمل activation للـ endothelial cell وبالتالي
+
+718
+01:01:03,260 --> 01:01:08,040
+بيصير فيه تباعد بين الخلايا فبتعمل Trans
+
+719
+01:01:08,040 --> 01:01:12,000
+endothelial migration بتعمل Diapedesis هذه 
+
+720
+01:01:12,000 --> 01:01:17,940
+الـ neutrophil وده هي طلعت من وين من الـ endothelial to
+
+721
+01:01:17,940 --> 01:01:23,030
+the tissue يعني Migration of Neutrophil ثم بتتبع
+
+722
+01:01:23,030 --> 01:01:27,890
+الـ Chemotactic Factor Concentration Gradient ده 
+
+723
+01:01:27,890 --> 01:01:34,210
+هو مثال على ذلك اللي هو IL8 و بتبقى ماشية لغاية ما
+
+724
+01:01:34,210 --> 01:01:36,910
+تصلين للـ Antigen
+
+725
+01:01:39,770 --> 01:01:45,390
+هذا مثال آخر على الـ Receptors بيبين لنا ارتباط 
+
+726
+01:01:45,390 --> 01:01:50,370
+الـ cytokine بالـ Receptors with the affinity of
+
+727
+01:01:50,370 --> 01:01:54,510
+cytokine receptor binding طبعًا حسب نوع الـ
+
+728
+01:01:54,510 --> 01:01:58,490
+cytokine إذا كان double-chain أو triple-chain طبعًا
+
+729
+01:01:58,490 --> 01:02:03,690
+في الـ double-chain بيكون affinity of binding من ال
+
+730
+01:02:03,690 --> 01:02:07,710
+triple chain هي أدنى affinity and high
+
+731
+01:02:07,710 --> 01:02:11,770
+affinity لأنها عيش لأنها triple chain وطبعًا هذا
+
+732
+01:02:11,770 --> 01:02:18,970
+فقط مثال على ال affinity or binding هي أنا عشرة
+
+733
+01:02:18,970 --> 01:02:24,130
+قوة -9 أنا صارت عشرة قوة -11 لأن 
+
+734
+01:02:24,130 --> 01:02:30,650
+اتنشط طبعًا اللي هو الـ NK cell resting or resting
+
+735
+01:02:30,650 --> 01:02:36,510
+T lymphocytes أنا صار في activation لـ T
+
+736
+01:02:36,510 --> 01:02:46,050
+lymphocytes بهك بنكون مرينا على المحاضرة
+
+737
+01:02:46,050 --> 01:02:55,050
+وأخدنا اللي هو general view على ذلك 
diff --git a/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/FHPHT7IameQ_raw.srt b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/FHPHT7IameQ_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..9fc289442266576f3d55e283a31837a54ac9187d
--- /dev/null
+++ b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/FHPHT7IameQ_raw.srt
@@ -0,0 +1,2992 @@
+1
+00:00:02,230 --> 00:00:06,830
+بسم الله الرحمن الرحيم نلتقى اليوم في محاضرة جديدة
+
+2
+00:00:06,830 --> 00:00:12,230
+عنوان cytokine وكما تعلمون ال cytokine هي عبارة عن
+
+3
+00:00:12,230 --> 00:00:15,610
+جليكو بروتين substance which has low molecular
+
+4
+00:00:15,610 --> 00:00:20,540
+weightوانتجت من خلائي من نفسها وانتجت من نفسها
+
+5
+00:00:20,540 --> 00:00:21,140
+وانتجت من نفسها وانتجت من نفسها وانتجت من نفسها
+
+6
+00:00:21,140 --> 00:00:27,000
+وانتجت من نفسها وانتجت من نفسها وانتجت من نفسها
+
+7
+00:00:27,000 --> 00:00:27,180
+وانتجت من نفسها وانتجت من نفسها وانتجت من نفسها
+
+8
+00:00:27,180 --> 00:00:27,200
+وانتجت من نفسها وانتجت من نفسها وانتجت من نفسها
+
+9
+00:00:27,200 --> 00:00:27,200
+وانتجت من نفسها وانتجت من نفسها وانتجت من نفسها
+
+10
+00:00:27,200 --> 00:00:27,200
+وانتجت من نفسها وانتجت من نفسها وانتجت من نفسها
+
+11
+00:00:27,200 --> 00:00:29,080
+وانتجت من نفسها وانتجت من نفسها وانتجت من نفسها
+
+12
+00:00:29,080 --> 00:00:33,080
+وانتجت
+
+13
+00:00:33,080 --> 00:00:45,940
+من نفسها وانت
+
+14
+00:00:46,220 --> 00:00:51,100
+يعني بتنقل رسائل ما بين الخلايا في ال immune
+
+15
+00:00:51,100 --> 00:00:56,800
+system it's also regulated by particular cytokine
+
+16
+00:00:56,800 --> 00:01:03,800
+receptor يعني لازم ال cytokine عشان يشتغل يكون له
+
+17
+00:01:03,800 --> 00:01:11,440
+receptor for that factor cytokine أيضا produced by
+
+18
+00:01:11,440 --> 00:01:16,620
+lymphocyte بيسموها lymphokineواللي بتنتج من الـ
+
+19
+00:01:16,620 --> 00:01:22,260
+Monocyte أو الـ Macrophage بيسموها Monokines و
+
+20
+00:01:22,260 --> 00:01:29,880
+أيضًا بتسمى Chemokine يوم ما تشتغل as a
+
+21
+00:01:29,880 --> 00:01:33,840
+chemotactic factor Chemotactic factor يعني هي
+
+22
+00:01:33,840 --> 00:01:38,880
+عبارة عن factors بتساعد في عملية حركة الخلية
+
+23
+00:01:38,880 --> 00:01:47,200
+باتجاه الانتجن these factorsنحن لسنا مجرد نوع من
+
+24
+00:01:47,200 --> 00:01:49,340
+الانفوسايت نحن لسنا مجرد نوع من الانفوسايت نحن
+
+25
+00:01:49,340 --> 00:01:49,360
+لسنا مجرد نوع من الانفوسايت نحن لسنا مجرد نوع من
+
+26
+00:01:49,360 --> 00:01:51,880
+الانفوسايت نحن لسنا مجرد نوع من الانفوسايت نحن
+
+27
+00:01:51,880 --> 00:01:56,940
+لسنا مجرد نوع من الانفوسايت نحن لسنا مجرد نوع من
+
+28
+00:01:56,940 --> 00:02:01,880
+الانفوسايت نحن لسنا مجرد نوع من الانفوسايت نحن
+
+29
+00:02:01,880 --> 00:02:04,020
+لسنا مجرد نوع من الانفوسايت نحن لسنا مجرد نوع من
+
+30
+00:02:04,020 --> 00:02:09,540
+الانفوسايت نحن لسنا مجرد نوع من الانفوسايت نحن
+
+31
+00:02:09,540 --> 00:02:12,710
+لسنا مجرد نوع من الانوانا it's a generic name يعني
+
+32
+00:02:12,710 --> 00:02:22,110
+اسم عام for these placaridins ايضا سموهم
+
+33
+00:02:22,110 --> 00:02:26,550
+Interleukins لإن هما يتعاملون بين عيون بين
+
+34
+00:02:26,550 --> 00:02:28,750
+اللوكوسيات Interleukin
+
+35
+00:02:33,290 --> 00:02:37,250
+اليوم اعدادهم طبعا اعطوهم ارقام و الارقام وصلت
+
+36
+00:02:37,250 --> 00:02:40,710
+اكتر من تلاتين different interlocus are present
+
+37
+00:02:40,710 --> 00:02:45,990
+macro phase ايضا derived او بيسموهم lymphocyte
+
+38
+00:02:45,990 --> 00:02:50,710
+activating factor و هي T cell growth factors
+
+39
+00:02:50,710 --> 00:02:55,910
+فاعطوهم ايش؟ اعطوهم ارقام زي ما قلنا IL-1 و IL-2
+
+40
+00:02:55,910 --> 00:03:01,690
+they can activate macro phase and T lymphocyte
+
+41
+00:03:01,690 --> 00:03:06,110
+respectivelyاليوم زي ما قلنا في اكتر من تلاتين
+
+42
+00:03:06,110 --> 00:03:12,270
+different Interleukins are coined معظمهم are
+
+43
+00:03:12,270 --> 00:03:17,130
+biological biologically affect many cell types
+
+44
+00:03:17,130 --> 00:03:22,790
+داخل و خارج ال immune system فعلى سبيل المثال
+
+45
+00:03:22,790 --> 00:03:30,290
+Interleukin 2promote cell proliferation and also
+
+46
+00:03:30,290 --> 00:03:37,090
+stimulate osteoclast واحد تاني transforming growth
+
+47
+00:03:37,090 --> 00:03:41,070
+factor beta بسموه
+
+48
+00:03:41,070 --> 00:03:43,770
+transforming growth factor beta و بسموه tumor
+
+49
+00:03:43,770 --> 00:03:48,730
+growth factor beta ايضا stimulate many cells بما
+
+50
+00:03:48,730 --> 00:03:52,990
+فيها ال tissue fibroblast وبالتالي
+
+51
+00:03:54,190 --> 00:03:58,130
+أو D-lymphocyte وB-lymphocyte وبالتالي هؤلاء الـ
+
+52
+00:03:58,130 --> 00:04:04,010
+cytokines بمعنى بلايوتروبيكي بمعنى بلايوتروبيكي
+
+53
+00:04:04,010 --> 00:04:08,370
+بمعنى فيهم وظائف متعددة لأنهم يمكنوا أن يؤثروا
+
+54
+00:04:08,370 --> 00:04:10,890
+عملية العديد من الخلقات
+
+55
+00:04:13,850 --> 00:04:18,470
+هناك أيضًا من صفاتهم الريداندنسية ان هما ريداندنت
+
+56
+00:04:18,470 --> 00:04:25,090
+على سبيل المثال اي انت اللوكن توت او انت اللوكن
+
+57
+00:04:25,090 --> 00:04:31,930
+فور يمكن ان يعملوا كتسل اجراث فاكتورات تانية
+
+58
+00:04:31,930 --> 00:04:36,770
+بيشتغلوا على تيليمفوسايت ويشتغلوا في اجراثها عشان
+
+59
+00:04:36,770 --> 00:04:38,390
+هيك بيسموهم ريداندنت
+
+60
+00:04:43,750 --> 00:04:48,730
+وCytokine اللي هم ايضا صفات الاداتيف يعني اتنين
+
+61
+00:04:48,730 --> 00:04:55,190
+ممكن نشتغله synergistic or antagonistic they are
+
+62
+00:04:55,190 --> 00:05:01,730
+properties من الصفات العامة للcytokine A they have
+
+63
+00:05:01,730 --> 00:05:06,070
+common functional properties وخدوا الأمثلة على ذلك
+
+64
+00:05:06,070 --> 00:05:10,690
+common functional properties cytokineبعض الـ
+
+65
+00:05:10,690 --> 00:05:13,830
+cytokines مثل الـ Gamma Interferon و الـ
+
+66
+00:05:13,830 --> 00:05:21,470
+Interleukin 2 التنين مكسورة بالسلسل و مكسورة بسرعة
+
+67
+00:05:21,470 --> 00:05:24,670
+صفة
+
+68
+00:05:24,670 --> 00:05:33,210
+أخرى مختلفة مختلفة مختلفة مختلفة مختلفة مختلفة
+
+69
+00:05:33,210 --> 00:05:35,330
+مختلفة مختلفة مختلفة مختلفة مختلفة مختلفة مختلفة
+
+70
+00:05:35,330 --> 00:05:35,330
+مختلفة مختلفة مختلفة مختلفة مختلفة مختلفة مختلفة
+
+71
+00:05:35,330 --> 00:05:36,450
+مختلفة مختلفة مختلفة مختلفة مختلفة مختلفة مختلفة
+
+72
+00:05:36,450 --> 00:05:36,450
+مختلفة مختلفة مختلفة مختلفة مختلفة مختلفة مختلفة
+
+73
+00:05:36,450 --> 00:05:36,570
+مختلفة مختلفة مختلفة مختلفة مختلفة مختلفة مختلفة
+
+74
+00:05:36,570 --> 00:05:40,860
+مختلفة مختمعظم الـ cytokines يمتلئون حياة قصيرة أو
+
+75
+00:05:40,860 --> 00:05:47,940
+نصف و الـ function of the cytokines occur in pairs
+
+76
+00:05:47,940 --> 00:05:52,340
+بيصنعوا
+
+77
+00:05:52,340 --> 00:05:57,200
+و بيشتغلوا كانفجار مرة واحدة هكذا ال cytokines
+
+78
+00:05:57,200 --> 00:05:59,460
+facilitate communication between cells
+
+79
+00:06:03,570 --> 00:06:12,610
+وهي بتركيزهم إلى عشرة قوة مانس تن للعشرة قوة مانس
+
+80
+00:06:12,610 --> 00:06:20,110
+ففتين ايضا يمكن ان يعملوا كهرمون يمكن ان يكونوا
+
+81
+00:06:20,110 --> 00:06:26,850
+مفردين ك Autocrine او Paracrine او Endocrineأيضًا
+
+82
+00:06:26,850 --> 00:06:31,790
+من وظائفهم أو صفاتهم سريعًا الـCytokine يمكن أن
+
+83
+00:06:31,790 --> 00:06:35,590
+تعمل تأثير عملية لهم من خلال ارتباطهم بمجموعات
+
+84
+00:06:35,590 --> 00:06:42,190
+محددة فعلى سبيل المثال تحفز أو انهيب تارجت سيل مثل
+
+85
+00:06:42,190 --> 00:06:49,030
+T-Helper-1 يوم ما تفرز Gamma Interferon تنشط
+
+86
+00:06:49,030 --> 00:06:52,550
+الميكروفاج وفي نفس الوقت تعمل انهيبشين
+
+87
+00:06:52,550 --> 00:06:58,840
+للميليمفوسايتيعني نفس ال grammar interferon
+
+88
+00:06:58,840 --> 00:07:04,560
+activate macrophage and inhibit B lymphocytes نفس
+
+89
+00:07:04,560 --> 00:07:10,300
+الحكاية في تيل بارتو يوم ما تفرز ال I L4 و I L5
+
+90
+00:07:10,300 --> 00:07:18,350
+they activate B lymphocytes and I L10أيضًا بيفرز
+
+91
+00:07:18,350 --> 00:07:23,950
+انهيبت ال macro phase activation وهذا عبارة بيسموه
+
+92
+00:07:23,950 --> 00:07:28,330
+هذا عملية ال regulation ما بين اللي هو تكوين T
+
+93
+00:07:28,330 --> 00:07:32,910
+helper واحد أو T helper اتنين ما يؤثر في ذلك هو ال
+
+94
+00:07:32,910 --> 00:07:39,750
+type of antigen وهذه الفيجر هي T helper واحد 100%
+
+95
+00:07:39,750 --> 00:07:50,700
+antigen تلقفته اللي هو الDendritic cell في أفرز IL
+
+96
+00:07:50,700 --> 00:07:56,440
+-12 حولت تيهيلبر نود الى تيهيلبر ون نشطة تيهيلبر
+
+97
+00:07:56,440 --> 00:07:58,700
+نود الى تيهيلبر نود الى تيهيلبر نود الى تيهيلبر
+
+98
+00:07:58,700 --> 00:08:06,440
+نود الى تيهيلبر نود الى تيهيلبر نود الى تيهيلبر
+
+99
+00:08:06,440 --> 00:08:11,780
+نود الى تيهيلبر نودإفراز طبعا cytokine دي ال site
+
+100
+00:08:11,780 --> 00:08:15,460
+طبعا فيها ال activation إجت نشطت ال macro phase من
+
+101
+00:08:15,460 --> 00:08:19,160
+خلال ارتباطها فيها cell to cell contact و أفرزها
+
+102
+00:08:19,160 --> 00:08:23,060
+ال cytokine إيش ال cytokine أفرزتها؟ جمع
+
+103
+00:08:23,060 --> 00:08:29,280
+الterferon نشط ال macro phase GMCSF نشط macro
+
+104
+00:08:29,280 --> 00:08:33,440
+phase tumor necrosis factor alpha نشط macro phase
+
+105
+00:08:33,440 --> 00:08:39,860
+IL3 عمل hemopoiesisTuber Necrosis Factor Beta
+
+106
+00:08:39,860 --> 00:08:48,200
+أيضًا يفرز أثناء الـ Inflammatory Reaction فالمجال
+
+107
+00:08:48,200 --> 00:08:54,300
+هذا تيالبر واحد بتنشط microphage و طبعًا هنشوف و
+
+108
+00:08:54,300 --> 00:08:57,940
+بنعرف أن وظيفة ال microphage فيها ست وظائف مختلفة
+
+109
+00:08:57,940 --> 00:09:03,660
+بس أهم وظيفة هي الفلسفتوسيس في المقابل تيالبر 2 ده
+
+110
+00:09:03,660 --> 00:09:09,290
+هي يوم اتصادف AntigenDendritic cell بتقدم لها T
+
+111
+00:09:09,290 --> 00:09:14,710
+helper node بعد ما تفرز I L 4 و T helper node
+
+112
+00:09:14,710 --> 00:09:19,270
+تتحول ل T helper 2 اللي هي بتنشط بي لمفوسايتر طابت
+
+113
+00:09:19,270 --> 00:09:23,250
+في بي لمفوسايتر هي ال binding و بتفرز cytokine شو
+
+114
+00:09:23,250 --> 00:09:29,790
+ال cytokine بتفرزها I L 4 بنشط بي سل I L 5 بنشط بي
+
+115
+00:09:29,790 --> 00:09:34,750
+سل I L 10 بيعمل ان هي بشيل ل T helper 1 من خلال ان
+
+116
+00:09:34,750 --> 00:09:40,370
+هي بشيل ل ال microfilmعيال تلاتة هيموبيكسي عيال
+
+117
+00:09:40,370 --> 00:09:46,290
+تلاتة عيال
+
+118
+00:09:46,290 --> 00:09:50,910
+تلاتة عيال تلاتة عيال تلاتة عيال تلاتة عيال تلاتة
+
+119
+00:09:50,910 --> 00:09:51,230
+عيال تلاتة عيال تلاتة عيال تلاتة عيال تلاتة عيال
+
+120
+00:09:51,230 --> 00:09:54,070
+تلاتة عيال تلاتة عيال تلاتة عيال تلاتة عيال تلاتة
+
+121
+00:09:54,070 --> 00:09:54,070
+عيال تلاتة عيال تلاتة عيال تلاتة عيال تلاتة عيال
+
+122
+00:09:54,070 --> 00:09:54,110
+تلاتة عيال تلاتة عيال تلاتة عيال تلاتة عيال تلاتة
+
+123
+00:09:54,110 --> 00:09:55,590
+عيال تلاتة عيال تلاتة عيال تلاتة عيال تلاتة عيال
+
+124
+00:09:55,590 --> 00:10:02,650
+تلاتة عيال تلاتة
+
+125
+00:10:05,840 --> 00:10:11,840
+الخروج من الخلايا
+
+126
+00:10:11,840 --> 00:10:17,180
+التي تنشطت بواسطة الانتيجين بيأتي الى نشاط مختلف
+
+127
+00:10:17,180 --> 00:10:24,220
+مختلف اللي هو cell typeيوم ما نفرز الـ cytokine
+
+128
+00:10:24,220 --> 00:10:28,220
+على مستوى عالي يكون لديهم إستمولات قوية و يمكن أن
+
+129
+00:10:28,220 --> 00:10:33,800
+يؤثر عليها إفعالة دليلية و إفعالة سيستامية مثل ما
+
+130
+00:10:33,800 --> 00:10:38,260
+يسمى بـ toxic shock syndrome الـ cytokine لازم
+
+131
+00:10:38,260 --> 00:10:44,620
+يفرزه بتركيز قليل جدا لكن يوم ما يكون تركيزه فرزه
+
+132
+00:10:44,620 --> 00:10:51,400
+بكميات عالية جدا عالية التركيز بسبب تأثيرات مؤذية
+
+133
+00:10:51,930 --> 00:10:56,670
+Deleterious غير مفيدة مؤذية ماشية and systemic
+
+134
+00:10:56,670 --> 00:11:03,490
+يعني عامة و زي ما بيصير في حالة ال toxic shock
+
+135
+00:11:03,490 --> 00:11:08,750
+syndrome هنشوفها ان شاء الله قدام في ال diseases
+
+136
+00:11:08,750 --> 00:11:13,710
+therapeutic manipulation كمان ممكن احنا نلعب بال
+
+137
+00:11:13,710 --> 00:11:17,690
+cytokine من ناحية الليرية نستفيد منهم من ناحية إيش
+
+138
+00:11:17,950 --> 00:11:24,170
+إلاجية أيضا في يعني التلاعب في اللي هو ال immune
+
+139
+00:11:24,170 --> 00:11:28,010
+system على سبيل المثال if we use the component
+
+140
+00:11:28,010 --> 00:11:34,890
+اللي هو cytokine we can activate if we use the
+
+141
+00:11:34,890 --> 00:11:39,430
+cytokine antagonist we can inhibit و لا كذا
+
+142
+00:11:39,820 --> 00:11:45,100
+بإمكاننا تحريك نظام الحيوانات باستخدام هذه الـ
+
+143
+00:11:45,100 --> 00:11:51,860
+cytokine طيب ما هي الخلايا اللى ممكن تفرزلنا اللى
+
+144
+00:11:51,860 --> 00:11:59,820
+هو cytokine in a cascade manner طبعا
+
+145
+00:11:59,820 --> 00:12:03,180
+في خلايا given cell ممكن تعمل كثير من ال cytokine
+
+146
+00:12:05,570 --> 00:12:09,390
+One cell may be the target of many cytokines طبيعي
+
+147
+00:12:09,390 --> 00:12:14,210
+جدا خلية واحدة ممكن يكون اكتر من ال cytokine
+
+148
+00:12:14,210 --> 00:12:18,010
+بيشتغل عليها وكل واحد برتبط ال receptor على سطح
+
+149
+00:12:18,010 --> 00:12:24,730
+هذه الخلية كمان one cytokine ممكن يأثر على تأثير
+
+150
+00:12:24,730 --> 00:12:29,250
+أو يأثر على اللي هو فعلية ال other cytokine
+
+151
+00:12:30,700 --> 00:12:37,620
+وبالتالي ممكن يعني يضيف له function ماشي أو يضيف
+
+152
+00:12:37,620 --> 00:12:42,940
+يقوي ال function يعني additive or synergistic or
+
+153
+00:12:42,940 --> 00:12:47,500
+antagonistic interaction
+
+154
+00:12:47,500 --> 00:12:50,380
+of multiple cytokines produced during typical
+
+155
+00:12:50,380 --> 00:12:55,490
+immune responseأيضًا بيسموها اللي هو cytokine
+
+156
+00:12:55,490 --> 00:13:00,910
+cascade and this cascade largely determine whether
+
+157
+00:13:00,910 --> 00:13:05,530
+a response to an antigen will primarily antibody
+
+158
+00:13:05,530 --> 00:13:09,890
+-mediated or cell-mediated يعني ال interaction لما
+
+159
+00:13:09,890 --> 00:13:13,790
+تفرز أكتر من cytokine they interact to each other
+
+160
+00:13:14,070 --> 00:13:19,370
+هم يسمونها كـ Cytokine Cascade وهذا الـ Cascade
+
+161
+00:13:19,370 --> 00:13:25,550
+المحصل أن هي تبعته يا إما بيكون لنا Antibody أو
+
+162
+00:13:25,550 --> 00:13:29,030
+بنشط لنا خلايا مناعية فاعلة
+
+163
+00:13:31,990 --> 00:13:35,910
+العمل المهم في هذه العملية هو الـ Antigenic
+
+164
+00:13:35,910 --> 00:13:41,490
+Stimulus هو الـ Antigen من يحدد خط سير أو نهاية
+
+165
+00:13:41,490 --> 00:13:49,050
+اللي هو نشاط الـ cytokine طيب،
+
+166
+00:13:49,050 --> 00:13:51,330
+ال receptor لل cytokine طبعا، they have common
+
+167
+00:13:51,330 --> 00:13:55,690
+receptorعلى سبيل المثال انا قلنا انه فيه
+
+168
+00:13:55,690 --> 00:13:58,650
+overlapping يعني فيه redundant function على سبيل
+
+169
+00:13:58,650 --> 00:14:02,510
+المثال اية الواحد واية الستة ممكن both كانت both
+
+170
+00:14:02,510 --> 00:14:06,370
+induce fever ويبقى لهم طبعا different biological
+
+171
+00:14:06,370 --> 00:14:10,010
+function أخرى
+
+172
+00:14:12,760 --> 00:14:15,760
+واجهته ان الـSignal Cytokine يستخدم مرتفعات
+
+173
+00:14:15,760 --> 00:14:20,260
+مرتفعات مرتفعات مرتفعات مرتفعات مرتفعات مرتفعات
+
+174
+00:14:20,260 --> 00:14:21,640
+مرتفعات مرتفعات مرتفعات مرتفعات مرتفعات مرتفعات
+
+175
+00:14:21,640 --> 00:14:21,780
+مرتفعات مرتفعات مرتفعات مرتفعات مرتفعات مرتفعات
+
+176
+00:14:21,780 --> 00:14:23,600
+مرتفعات مرتفعات مرتفعات مرتفعات مرتفعات مرتفعات
+
+177
+00:14:23,600 --> 00:14:24,980
+مرتفعات مرتفعات مرتفعات مرتفعات مرتفعات مرتفعات
+
+178
+00:14:24,980 --> 00:14:25,040
+مرتفعات مرتفعات مرتفعات مرتفعات مرتفعات مرتفعات
+
+179
+00:14:25,040 --> 00:14:30,420
+مرتفعات مرتفعات مرتفعات
+
+180
+00:14:30,420 --> 00:14:35,200
+مرتفعات
+
+181
+00:14:35,200 --> 00:14:36,580
+م
+
+182
+00:14:39,560 --> 00:14:43,140
+وهي هذه الـ Common Gamma Chain هي المسؤولة عن
+
+183
+00:14:43,140 --> 00:14:48,120
+Signal Transduction أو الـ Chemical Messenger ما
+
+184
+00:14:48,120 --> 00:14:51,740
+أحنا سميناه Chemical Messenger وبالتالي بيرسلوا
+
+185
+00:14:51,740 --> 00:14:56,800
+رسالة إلى الداخل وبالتالي هم المسؤولين هذه الـ
+
+186
+00:14:56,800 --> 00:14:59,240
+Chain هي المسؤولة عن الـ Intracellular Signaling
+
+187
+00:14:59,240 --> 00:15:06,500
+Molecule وهذا بيفسر لنا ليش ان في أكتر من اللي هو
+
+188
+00:15:06,500 --> 00:15:14,280
+cytokine can act on theirSame Cell كما تشاهدون في
+
+189
+00:15:14,280 --> 00:15:20,380
+الفيجر الى 6 اي فيه اكتر من Receptors كلهم They
+
+190
+00:15:20,380 --> 00:15:26,040
+Share اللي هو Gamma Chain فيه Triple Chain فيه
+
+191
+00:15:26,040 --> 00:15:30,660
+Double Chain المهم كلهم يحتووا على Gamma Chain و
+
+192
+00:15:30,660 --> 00:15:33,840
+Gamma Chain هي المسؤولة عن إيهعن اللي هو Signal
+
+193
+00:15:33,840 --> 00:15:37,780
+Transduction لأنها واحدة لكل الـ Receptors اللي
+
+194
+00:15:37,780 --> 00:15:41,480
+موجودة يبقى غالبا ال signal هي واحدة عشان هيك
+
+195
+00:15:41,480 --> 00:15:47,660
+بنلاقي في multiple cytokine can have the same اللي
+
+196
+00:15:47,660 --> 00:15:53,200
+هو function functional category بس طبعا قسموا هذا
+
+197
+00:15:53,200 --> 00:15:57,960
+ال cytokine إلى different category جالوا cytokine
+
+198
+00:15:57,960 --> 00:16:00,320
+that regulate immune response تشتر على ال immune
+
+199
+00:16:00,320 --> 00:16:03,890
+responseوطبعا أهم في هذه الخلايا هي ال B و T
+
+200
+00:16:03,890 --> 00:16:10,210
+lymphocyte activity يوم يتعرضوا ل antigen يوم يشير
+
+201
+00:16:10,210 --> 00:16:13,720
+لهم stimulation by antigenهؤلاء الـ cytokines
+
+202
+00:16:13,720 --> 00:16:20,440
+يعملون بشكل أساسي على الانتجين المشغول للمفوسايتين
+
+203
+00:16:20,440 --> 00:16:26,540
+مثال على ذلك CD4T للمفوسايتين بتعتبر مصادر كبيرة
+
+204
+00:16:26,540 --> 00:16:30,320
+للإيمينو راجلاتري للـ cytokine يعني بعد ما تتنشط
+
+205
+00:16:30,320 --> 00:16:34,840
+بتفرزلنا cytokine اللي بتعمل راجلاتي للإيمينو
+
+206
+00:16:34,840 --> 00:16:43,610
+راجلاتريناييف CD4 نفس الـ T-Lymphocyte اللي هي الـ
+
+207
+00:16:43,610 --> 00:16:49,110
+T-cell اللي لم تصادف أنتجين بعد أول مرة بتشوفه
+
+208
+00:16:49,110 --> 00:16:53,970
+كانت مختلفة إلى مجموعات وممكن تصنع مختلفة تقريبا
+
+209
+00:16:53,970 --> 00:16:55,650
+تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا
+
+210
+00:16:55,650 --> 00:16:57,670
+تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا
+
+211
+00:16:57,670 --> 00:16:59,390
+تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا
+
+212
+00:16:59,390 --> 00:16:59,390
+تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا
+
+213
+00:16:59,390 --> 00:17:00,790
+تقريبا تقريبا تقري
+
+214
+00:17:04,440 --> 00:17:06,900
+أيضًا، الكثير من البكتيريا الانتراثية مثل
+
+215
+00:17:06,900 --> 00:17:10,740
+الاستيريا والفيروس بنشطوا الـ Dendritic cell و
+
+216
+00:17:10,740 --> 00:17:14,280
+بنشطوا الـ macrophage و بنشطوا الـ NK cell كلهم
+
+217
+00:17:14,280 --> 00:17:17,740
+يمكن أن ينتجوا الـ IL-12 و Gamma Interferon
+
+218
+00:17:17,740 --> 00:17:23,340
+وطبعًا، هذا زي ما شفنا في الفيجور 11.6 هؤلاء يمكن
+
+219
+00:17:23,340 --> 00:17:27,860
+أن يطلعوا على الـ cytokine التي تنتج تيهيلبر 1 من
+
+220
+00:17:27,860 --> 00:17:34,730
+من تيهيلبرنوت تيهيلبرنوت عبارة عنخلية البروجينيتر
+
+221
+00:17:34,730 --> 00:17:38,410
+تيليفوسايتس اللى اتنشطت ودتني وصلها
+
+222
+00:17:38,410 --> 00:17:42,250
+differentiation واتنشطت ودتني اما تيالبر واحد واما
+
+223
+00:17:42,250 --> 00:17:46,830
+تيالبر اتنين شوفنا هذا في الاش في ال figure السابق
+
+224
+00:17:46,830 --> 00:17:52,250
+other pathogens زى ال worms على سبيل المثال بيؤدوا
+
+225
+00:17:52,250 --> 00:17:59,030
+إلى ال secretion of IL-5 بواسطة المصل على سبيل
+
+226
+00:17:59,030 --> 00:18:07,780
+المثال ال IL-4 أيضاوهذا ينفذ تطبيق البرنود الى
+
+227
+00:18:07,780 --> 00:18:12,980
+تهيلبرتو نفس الشيء اللى شفناه في الفيجر اللى فات
+
+228
+00:18:12,980 --> 00:18:17,900
+وهذا تفسير لذلك ايضا low level او processed
+
+229
+00:18:17,900 --> 00:18:27,780
+antigen كمية قليلة تتعامل مع تهيلبرتو TCR وبس
+
+230
+00:18:27,780 --> 00:18:34,160
+ترتبط بهذه الكمية القليلة تختار تهيلبرتوووجدها
+
+231
+00:18:34,160 --> 00:18:40,360
+تفرز IL-4 و IL-5 يوم تزيد الكمية increase level
+
+232
+00:18:40,360 --> 00:18:45,800
+اللي بتطبق بتبدأ تهيلبر نوت TCR بتأدي الى
+
+233
+00:18:45,800 --> 00:18:50,300
+differentiation into تهيلبر one وبالتالي وجدها
+
+234
+00:18:50,300 --> 00:18:54,400
+تهيلبر one بتصير خانية نادرة تستطيع ان تفرز IL-2
+
+235
+00:18:54,400 --> 00:18:57,740
+وGamma Interferon وTumor Necrosis Factor Beta
+
+236
+00:18:59,250 --> 00:19:03,870
+Pathway of Tl-bar-1 يسهّل
+
+237
+00:19:03,870 --> 00:19:07,610
+الـ cell-mediated immunity باكتفاء الـ macrophage
+
+238
+00:19:07,610 --> 00:19:13,810
+عن كيس الـ cytotoxic T-lymphocyte بينما Tl-bar-2
+
+239
+00:19:13,810 --> 00:19:17,730
+باثوية أساسية لإيجاب الـ immunity الهو إنتاج
+
+240
+00:19:17,730 --> 00:19:22,490
+الانتيبادييعني تيهيلبر 1 بيدينا cell mediated
+
+241
+00:19:22,490 --> 00:19:27,010
+بينما تيهيلبر 2 بيدينا antibody mediated immunity
+
+242
+00:19:27,010 --> 00:19:34,290
+وبالتالي تيهيلبر subset also can regulate the
+
+243
+00:19:34,290 --> 00:19:38,310
+growth and effector function of each other as a
+
+244
+00:19:38,310 --> 00:19:42,030
+result of the activity of cytokine تنتين شوفنا كيف
+
+245
+00:19:42,030 --> 00:19:45,430
+بيعملوا regulation to each other من خلال ال
+
+246
+00:19:45,430 --> 00:19:46,990
+cytokine that they release
+
+247
+00:19:49,640 --> 00:19:52,320
+الـ IL-10 على سبيل المثال الـ Transformed Growth
+
+248
+00:19:52,320 --> 00:19:56,460
+Factor Beta اللي تطلع من T helper 2 يمكن انهيبط
+
+249
+00:19:56,460 --> 00:20:03,400
+انهيبط انهيبط تطور T helper 1 ويوم ما يسير فيه
+
+250
+00:20:03,400 --> 00:20:07,300
+افراز لـ Gamma Interferon من T helper 1 يمكن
+
+251
+00:20:07,300 --> 00:20:12,280
+انهيبط انهيبط تطور T helper 2 يبقى Cytokine تقدر
+
+252
+00:20:12,280 --> 00:20:15,620
+تقدر تقدر تقدر تقدر تقدر تقدر تقدر تقدر تقدر تقدر
+
+253
+00:20:15,620 --> 00:20:17,680
+تقدر تقدر تقدر تقدر تقدر تقدر تقدر تقدر تقدر تقدر
+
+254
+00:20:17,680 --> 00:20:17,680
+تقدر تقدر تقدر تقدر تقدر تقدر تقدر تقدر تقدر تقدر
+
+255
+00:20:17,680 --> 00:20:18,590
+تقدر تقدر تقدر تقدر تقدر تقدر تقدر تقدر تقدر تكو
+
+256
+00:20:18,590 --> 00:20:22,730
+سيل ترجع الى موقع كويسانت يعني تفرد الـ cytokine
+
+257
+00:20:22,730 --> 00:20:29,250
+تنشط هذه الخلايا ثم بانتهاء الانتجين ترجع الى
+
+258
+00:20:29,250 --> 00:20:35,530
+وضعها الطبيعي فهمش cytokine النوع التاني من ال
+
+259
+00:20:35,530 --> 00:20:42,570
+cytokine that facilitate immune innate immune
+
+260
+00:20:42,570 --> 00:20:47,200
+response and activate inflammatory responseأنا
+
+261
+00:20:47,200 --> 00:20:54,800
+بدأش نحكي على إيش على اللي هو ال T
+
+262
+00:20:54,800 --> 00:20:59,480
+and cell subset نحكي على innate immune response
+
+263
+00:20:59,480 --> 00:21:03,720
+بشكل عام و activation of inflammatory response
+
+264
+00:21:03,720 --> 00:21:09,920
+نبدأ في الأول في ال innate immune responseو ال
+
+265
+00:21:09,920 --> 00:21:17,320
+cytokine اللى موجودة في هذا او ال .. that
+
+266
+00:21:17,320 --> 00:21:21,740
+facilitate innate immune response it's usually
+
+267
+00:21:21,740 --> 00:21:26,780
+stimulated by viruses or microbial pathogenهو على
+
+268
+00:21:26,780 --> 00:21:29,060
+سبيل المثال ايال واحد وايال ستة ايال واحد وايال
+
+269
+00:21:29,060 --> 00:21:33,580
+ستة ايال
+
+270
+00:21:33,580 --> 00:21:38,460
+واحد وايال ستة ايال واحد وايال ستة ايال واحد وايال
+
+271
+00:21:38,460 --> 00:21:43,400
+ستة ايال واحد وايال ستة ايال واحد وايال ستة ايال
+
+272
+00:21:43,400 --> 00:21:44,120
+واحد وايال ستة ايال واحد وايال ستة ايال واحد وايال
+
+273
+00:21:44,120 --> 00:21:44,120
+ستة ايال واحد وايال ستة ايال واحد وايال ستة ايال
+
+274
+00:21:44,120 --> 00:21:44,120
+واحد وايال ستة ايال واحد وايال ستة ايال واحد وايال
+
+275
+00:21:44,120 --> 00:21:44,520
+ستة ايال واحد وايال ستة ايال واحد وايال ستة ايال
+
+276
+00:21:44,520 --> 00:21:50,560
+واحد وايال ستة ايال واحد وايال ستة ايال واحد و
+
+277
+00:21:51,490 --> 00:21:55,070
+نمر اتنين They stimulate the production of acute
+
+278
+00:21:55,070 --> 00:21:57,870
+phase protein شو بيعمل acute phase protein على
+
+279
+00:21:57,870 --> 00:22:02,550
+مثال على ذلك اللي هو CRP لأنه برتبط بالفوسفوري
+
+280
+00:22:02,550 --> 00:22:06,850
+الكولين تبع ال bacterial cell membrane or surface
+
+281
+00:22:07,990 --> 00:22:14,050
+وبالتالي بيعلّم البكتيريا بأنها تعمل كـ Optional
+
+282
+00:22:14,050 --> 00:22:18,610
+ومتى متعلّمة تتنشط طبعا في نفس الوقت تتنشط اللي هو
+
+283
+00:22:18,610 --> 00:22:22,530
+بيصير فيه Antibody Complex وبتتنشط ال classical
+
+284
+00:22:22,530 --> 00:22:27,950
+pathway of the complement نوع تاني من ال acute
+
+285
+00:22:27,950 --> 00:22:32,360
+phase زي المنوس binding لكتين أيضابرتبط بالـ
+
+286
+00:22:32,360 --> 00:22:35,340
+Mannose اللى موجودة على سطح البكتيريا وبشتغل as
+
+287
+00:22:35,340 --> 00:22:40,040
+obstinate وبنشرة complement أيضًا they increase
+
+288
+00:22:40,040 --> 00:22:43,500
+the number of circulating neutrophil مطلوبة فيه
+
+289
+00:22:43,500 --> 00:22:48,240
+اللى هو ساحة المعركة during inflammation أيضًا
+
+290
+00:22:48,240 --> 00:22:55,000
+they can activate Enkei cell نوع
+
+291
+00:22:55,000 --> 00:22:58,520
+تاني من الـ cytokines ال interferon Alpha و Beta
+
+292
+00:22:59,070 --> 00:23:04,010
+بإمكانهم ان يكونوا مرتبطين بمجموعات كثيرة بعد
+
+293
+00:23:04,010 --> 00:23:10,950
+ما يحصل فيه مصابة فيروسية و بإمكانهم ان يحطموا
+
+294
+00:23:10,950 --> 00:23:18,670
+مجموعات الفيروس و بيمنعوا اللي هو إصابة الخلايا
+
+295
+00:23:18,670 --> 00:23:25,210
+السليمة بالفيروس هذه الـ cytokine ترفيرون Alpha و
+
+296
+00:23:25,210 --> 00:23:30,160
+Betaماذا فعلوه؟ قالوا انهم قموا بإضافة الـ MSC
+
+297
+00:23:30,160 --> 00:23:35,640
+Class I Expression على سطح الخلايا الغير مصابة
+
+298
+00:23:35,640 --> 00:23:42,540
+وبالتالي بيؤدي الى Making a Newly Infected Cell
+
+299
+00:23:44,910 --> 00:23:49,130
+خلاص تتميز الخلايا المصابة ما زال زودنا اللى هو ال
+
+300
+00:23:49,130 --> 00:23:52,710
+expression of MSC class one على سطح الخلايا الغير
+
+301
+00:23:52,710 --> 00:23:57,850
+مصابة بتصير الخلايا المصابة مميزة فبتتنشط ال
+
+302
+00:23:57,850 --> 00:24:02,350
+cytotoxic telephosites و بتخلصنا منها ال gamma
+
+303
+00:24:02,350 --> 00:24:06,690
+interferon اللى بنحكي على Alpha و Beta ال gamma
+
+304
+00:24:06,690 --> 00:24:12,250
+interferon بتفرز من ال Anky cell and other
+
+305
+00:24:12,250 --> 00:24:16,730
+effectors cell طبعاوبتعمل induction لـ adaptive
+
+306
+00:24:16,730 --> 00:24:21,910
+immune responses نشوف
+
+307
+00:24:21,910 --> 00:24:26,930
+inflammatory cytokine شفنا ال innate cytokine ال
+
+308
+00:24:26,930 --> 00:24:31,090
+inflammatory cytokine activate inflammatory cell و
+
+309
+00:24:31,090 --> 00:24:34,910
+هي بيسموهم pro-inflammatory cytokine و هي مثال
+
+310
+00:24:34,910 --> 00:24:38,070
+عليهم آية 1 و 6 و tumor necrosis factor زي ما
+
+311
+00:24:38,070 --> 00:24:41,490
+شفناهم طوال شو بيعملوا قالوا they increased
+
+312
+00:24:41,490 --> 00:24:45,030
+vascular permeabilityبيزودوا اللي هو ال
+
+313
+00:24:45,030 --> 00:24:50,390
+permeability between ايش within blood vessels طبعا
+
+314
+00:24:50,390 --> 00:24:54,170
+في هذه الحالة ال vascular endothelial cells بيزود
+
+315
+00:24:54,170 --> 00:24:57,030
+أيضا ال expression of cell adhesion molecule على
+
+316
+00:24:57,030 --> 00:25:01,310
+سطحها زي ال E و ال P selected و ال ICAM 1 اللي هو
+
+317
+00:25:01,310 --> 00:25:03,690
+intracellular adhesion molecule number one
+
+318
+00:25:03,690 --> 00:25:08,340
+وبالتالي بيسهلوا ارتباطالـ Neutrophil بالـ
+
+319
+00:25:08,340 --> 00:25:11,980
+endothelial cell وهذه أول خطوة من خطوات
+
+320
+00:25:11,980 --> 00:25:15,940
+الفاجوسايتوسس بعدها تحصل فيها الـ Diabetes وهي
+
+321
+00:25:15,940 --> 00:25:21,500
+بتنطلق الـ Neutrophil إلى مكان الحدث جامعة الـ
+
+322
+00:25:21,500 --> 00:25:29,920
+Interferon بتجذب تعمل Calling لـ Macrophage بتزعج
+
+323
+00:25:29,920 --> 00:25:35,020
+عليها في منطقة تواجد الـ Antigentransforming
+
+324
+00:25:35,020 --> 00:25:38,840
+growth factor beta بلعب دور كبير أو بسموط يومر
+
+325
+00:25:38,840 --> 00:25:42,180
+growth factor beta بلعب دور كبير in terminating
+
+326
+00:25:42,180 --> 00:25:44,760
+inflammatory response هو عبارة عن inhibitory
+
+327
+00:25:44,760 --> 00:25:52,920
+cytokine وبالتالي بيعمل اللي هو accumulation
+
+328
+00:25:52,920 --> 00:25:57,200
+and proliferation للfibroblast في منطقة الحدث and
+
+329
+00:25:57,200 --> 00:26:00,960
+deposition of extracellular matrix protein اللي
+
+330
+00:26:00,960 --> 00:26:07,900
+مطلوب for tissue repairطب حاجة ثالثة اللي هو ال
+
+331
+00:26:07,900 --> 00:26:11,680
+chemokine أو ال cytokine that affect leukocyte
+
+332
+00:26:11,680 --> 00:26:17,160
+movement قولنا they are usually low molecular
+
+333
+00:26:17,160 --> 00:26:21,800
+weight chemotactic cytokine they have 70 to 80
+
+334
+00:26:21,800 --> 00:26:28,360
+residue and they have conserved sequence and they
+
+335
+00:26:28,360 --> 00:26:33,590
+are potent attractor يعنيبيجزوا بقوة for various
+
+336
+00:26:33,590 --> 00:26:36,590
+leukocyte subsites طبعا أهمها الـ monocyte
+
+337
+00:26:36,590 --> 00:26:40,710
+نيوتروفيل الـ monocyte و ال limphocyte example على
+
+338
+00:26:40,710 --> 00:26:48,350
+ال chemokine includes IL-8 and this is produced by
+
+339
+00:26:48,350 --> 00:26:52,610
+monocytes و mobilize
+
+340
+00:26:54,620 --> 00:27:01,120
+و يدفع النيتروفيل و يدفع الاندروجينيسيس هذا هو الـ
+
+341
+00:27:01,120 --> 00:27:04,600
+cytokine المهم جدا اللي بيحفظ النيتروفيل على
+
+342
+00:27:04,600 --> 00:27:08,260
+ارتباط بالموليكول الانتياجية اللي على السطح اللي
+
+343
+00:27:08,260 --> 00:27:14,960
+إيهاش ال blood vessels رانتس اللي انا هنشوفه شغل
+
+344
+00:27:14,960 --> 00:27:19,720
+رانتس هو عبارة عن أيضا cytokine produced by T
+
+345
+00:27:19,720 --> 00:27:26,860
+lymphocytesوبيخلّي الـBesophil تـDegranulate
+
+346
+00:27:26,860 --> 00:27:34,160
+وبينشّر تلينفسايز الـ MCP-1 سنشاهده الآن أيضًا
+
+347
+00:27:34,160 --> 00:27:39,000
+اختصاراتها دي Produced by monocyte and activate
+
+348
+00:27:39,000 --> 00:27:43,440
+macrophage أيضًا Stimulate Besophil Histamine
+
+349
+00:27:43,440 --> 00:27:49,800
+Release وبيحفظ أو بيساعد على تنشيط الـTL-B2
+
+350
+00:27:49,800 --> 00:27:59,190
+pathwayالـ MIP1 وبرهن او Alpha مصادر من مونوسايتز
+
+351
+00:27:59,190 --> 00:28:06,330
+ومشارك تيربر وان وليس تيربر تو اميونيتي ايضا هذا
+
+352
+00:28:06,330 --> 00:28:09,870
+MIP1
+
+353
+00:28:09,870 --> 00:28:13,990
+بيتا اللي بيطلع من المونوسايتز ونيوتروفيل
+
+354
+00:28:13,990 --> 00:28:24,210
+واندوثيليا سيل بينافس مع HIV 1for chemokine
+
+355
+00:28:24,210 --> 00:28:29,230
+receptor binding يعني بنافس الـHIV ريسبتور في
+
+356
+00:28:29,230 --> 00:28:32,970
+الإرتباط من ريسبتوره تبقى اختصارات اللي طوبة نجت
+
+357
+00:28:32,970 --> 00:28:36,450
+علينا MCP اللي هو عبارة عن monocyte chemotactic
+
+358
+00:28:36,450 --> 00:28:42,210
+protein والـMIB هي عبارة عن macro phage
+
+359
+00:28:42,210 --> 00:28:46,880
+inflammatory proteinوالرانتس هو عبارة عن regulated
+
+360
+00:28:46,880 --> 00:28:57,140
+upon activation normalty expressed and secreted دي
+
+361
+00:28:57,140 --> 00:29:00,140
+اللي هو ال cytokines اللي هت stimulate همو،
+
+362
+00:29:00,140 --> 00:29:05,600
+hematopoiesis طبعا هم أكتر هم أخدناهم ال cytokines
+
+363
+00:29:05,600 --> 00:29:10,880
+دي هم قادرين على إستخدام حرارة حرارة حرارة و أيضا
+
+364
+00:29:10,880 --> 00:29:17,720
+they can be produced in vitroو بيستخدموهم في
+
+365
+00:29:17,720 --> 00:29:22,200
+culture media to induce hemopoiesis و بنسميهم
+
+366
+00:29:22,200 --> 00:29:25,800
+collectively colon stimulating factor أمثلة كثيرة
+
+367
+00:29:25,800 --> 00:29:29,960
+على ذلك زي ال macro phase colon stimulating factor
+
+368
+00:29:29,960 --> 00:29:34,700
+و ال granulocyte colon stimulating factor GMCSF
+
+369
+00:29:34,700 --> 00:29:39,820
+IL3 و هذا بيسموه أبو ال cytokine stimulate clonal
+
+370
+00:29:39,820 --> 00:29:43,220
+growth of large number of cell population عشان أيه
+
+371
+00:29:43,220 --> 00:29:48,410
+بيسموه father of cytokinesأيال تلاتة في وجود
+
+372
+00:29:48,410 --> 00:29:56,770
+الارتروبيتين أيضًا بيؤدي إلى تنشيط او الارتروبيسيس
+
+373
+00:29:56,770 --> 00:30:03,510
+بيحول النورموبلاس ل RBCs وأيال سبعة produced by
+
+374
+00:30:03,510 --> 00:30:08,230
+bone marrow and thymic stromal cell بيؤدي إلى
+
+375
+00:30:08,230 --> 00:30:12,160
+differentiation of lymphoid stem cellلـ B
+
+376
+00:30:12,160 --> 00:30:20,060
+-Lymphocyte وT-Lymphocyte الـ GCSF أيضًا بيستخدم
+
+377
+00:30:20,060 --> 00:30:24,040
+to reverse نيوتروبينيا يعني واحد عنده نيوتروبينيا
+
+378
+00:30:24,040 --> 00:30:27,740
+بيزود تنشيط أو تكوين النيوتروفيل
+
+379
+00:30:32,590 --> 00:30:36,270
+بنزود عدد الـ Neutrophil وهذا بيستخدم في حالات الـ
+
+380
+00:30:36,270 --> 00:30:41,430
+high-dose chemotherapy الـ GMCSF أيضًا is used to
+
+381
+00:30:41,430 --> 00:30:43,490
+treat patients undergoing bone marrow
+
+382
+00:30:43,490 --> 00:30:48,390
+transplantation شو وظيفته بيعمل boosting for
+
+383
+00:30:48,390 --> 00:30:53,220
+clonal expansion of granulocyte and macrophageو
+
+384
+00:30:53,220 --> 00:31:00,480
+هذه أمثلة كثيرة على الـ hemopoietic cytokine طب
+
+385
+00:31:00,480 --> 00:31:04,100
+نيجي نحكي على ال cytokine receptor قالوا these
+
+386
+00:31:04,100 --> 00:31:09,040
+cytokine can act collectively أنا بحكيها لغاية
+
+387
+00:31:09,040 --> 00:31:12,820
+cytokine collectively can act only on target cells
+
+388
+00:31:14,360 --> 00:31:17,480
+اللي على سطحها receptor for the cytokine ما
+
+389
+00:31:17,480 --> 00:31:20,780
+بيشتغلوا على كل الخلايا فقط الخلايا اللي على سطحها
+
+390
+00:31:20,780 --> 00:31:25,060
+receptor for the cytokine شو بيعملوه ال resting
+
+391
+00:31:25,060 --> 00:31:31,500
+cell في الغالب do not express receptor ماشي or
+
+392
+00:31:31,500 --> 00:31:36,350
+they express it in low affinityالعامل على ذلك IL-2
+
+393
+00:31:36,350 --> 00:31:40,770
+ريسيبتور هو الـ Intermediate Affinity Diameter
+
+394
+00:31:40,770 --> 00:31:47,470
+بيتاجامع الـ Chain أو يمكن أن يكون موصولا في High
+
+395
+00:31:47,470 --> 00:31:51,330
+Affinity Diameter يوم يكون عامل الـ Chain بيكون
+
+396
+00:31:51,330 --> 00:31:54,230
+Low Affinityبقى دي في ال resting cell لكن يوم ما
+
+397
+00:31:54,230 --> 00:31:59,410
+تتنشق بتتحول إلى اللي هو triangular يعني three
+
+398
+00:31:59,410 --> 00:32:03,030
+chain
+
+399
+00:32:03,030 --> 00:32:09,350
+receptors اللي هم Alpha, Beta, Gamma وبالتالي in
+
+400
+00:32:09,350 --> 00:32:14,350
+response to IL-2 secretion طبعا المعلومات اللي
+
+401
+00:32:14,350 --> 00:32:17,950
+استقلت من ال cytokine to cytokine receptor
+
+402
+00:32:17,950 --> 00:32:28,260
+interactionبدت إلى الى
+
+403
+00:32:28,260 --> 00:32:36,760
+وضع خطط لمنع وظائف الـ cytokine أثناء الـ
+
+404
+00:32:36,760 --> 00:32:40,420
+inflammatory responsesزي في حالات Rheumatoid
+
+405
+00:32:40,420 --> 00:32:44,220
+Arthritis او Transplantation Rejection يعني اليوم
+
+406
+00:32:44,220 --> 00:32:47,260
+معرفتنا من خلال معرفتنا للـ cytokine to cytokine
+
+407
+00:32:47,260 --> 00:32:53,880
+receptor interaction اقدرنا نستخلص استراتيجيات
+
+408
+00:32:53,880 --> 00:33:00,420
+علاجية لمنع وظائف او عمل بعض ال cytokine اثناء
+
+409
+00:33:00,420 --> 00:33:03,620
+حالات مرضية زي Rheumatoid Arthritis او
+
+410
+00:33:03,620 --> 00:33:11,380
+Transplantation طيب قسموا ال receptorsأو خمس
+
+411
+00:33:11,380 --> 00:33:17,780
+عائلات كبيرة اما immunoglobulin superfamily
+
+412
+00:33:17,780 --> 00:33:24,540
+receptor او class one cytokine receptorأو بيسموهم
+
+413
+00:33:24,540 --> 00:33:28,420
+hemopoietin receptor family و class 2 cytokine
+
+414
+00:33:28,420 --> 00:33:32,920
+receptor أو بيسموهم interferon receptor family ثم
+
+415
+00:33:32,920 --> 00:33:36,140
+transform أو tumor necrosis factor receptor super
+
+416
+00:33:36,140 --> 00:33:42,060
+family and chemokine receptor family خمس عائلات
+
+417
+00:33:42,060 --> 00:33:46,080
+وهذا هم في الصورة زي ما انتوا شايفين هي ال
+
+418
+00:33:46,080 --> 00:33:50,560
+immunoglobulin super familyوهي أمثلة على cytokine
+
+419
+00:33:50,560 --> 00:33:57,860
+ترتبط فيها ثم class one cytokine receptor وهي كمان
+
+420
+00:33:57,860 --> 00:34:03,320
+أمثلة على ذلك ثم class two ثم human cross factor
+
+421
+00:34:03,320 --> 00:34:08,160
+ثم chemokine receptor أمثلة طبعا زي ما انتوا
+
+422
+00:34:08,160 --> 00:34:13,320
+شايفين receptor لها أشكال مختلفة لكن كلها تشترك في
+
+423
+00:34:13,320 --> 00:34:16,660
+different domains زي ما هنشوف الآن
+
+424
+00:34:19,980 --> 00:34:20,880
+العائلة الأولانية اللي بيجي بتاعة ال
+
+425
+00:34:20,880 --> 00:34:24,480
+Immunoglobulin Superfamily Receptor لديها على
+
+426
+00:34:24,480 --> 00:34:25,860
+الأقل واحدة من المستوى المشابه للإمينoglobulin
+
+427
+00:34:25,860 --> 00:34:31,080
+يعني زي ما قلنا فيه domain موجودة فيها دي Receptor
+
+428
+00:34:31,080 --> 00:34:34,000
+فالعائلة الأولانية اللي بيجي بتاعة ال
+
+429
+00:34:34,000 --> 00:34:38,400
+Immunoglobulin Superfamily Receptor وقت تضم عائلة
+
+430
+00:34:38,400 --> 00:34:46,840
+طويلة من ال Receptor بيحتوي Receptor تبعها at
+
+431
+00:34:46,840 --> 00:34:53,480
+least for one immunoglobulinLike Domain Class I
+
+432
+00:34:53,480 --> 00:34:57,900
+سيطوكاين ريسبتور أو سموها hemopoietin receptor
+
+433
+00:34:57,900 --> 00:35:06,440
+family بتتكون من two polypeptide chain و واحدة
+
+434
+00:35:06,440 --> 00:35:11,380
+alphaمشهورة عن ال signal transduction واحدة Alpha
+
+435
+00:35:11,380 --> 00:35:14,400
+والتانية Beta اللي هي مسهولة عن ال signal
+
+436
+00:35:14,400 --> 00:35:18,820
+transduction وممكن تكون اما Beta واما Gamma حسب
+
+437
+00:35:18,820 --> 00:35:23,680
+نوع اللي هو ال cytokine معظم ال cytokine بتستخدم
+
+438
+00:35:23,680 --> 00:35:28,660
+اللي هو class one family
+
+439
+00:35:28,660 --> 00:35:36,260
+class one receptor family امثل عليها هي زي ال I L2
+
+440
+00:35:36,260 --> 00:35:46,190
+I L3 I L5Y15 و GM و GCSF Class 2 او بيسموها ال
+
+441
+00:35:46,190 --> 00:35:52,730
+Interferon ماشي Receptor family اللي
+
+442
+00:35:52,730 --> 00:35:58,050
+كانت تبعها هو ال Interferon and they have
+
+443
+00:35:58,050 --> 00:36:06,320
+biological activity that overlapمع الذين مرتبطين
+
+444
+00:36:06,320 --> 00:36:12,960
+بـ Interferon زي IL-10.Tumor Necrosis Factor
+
+445
+00:36:12,960 --> 00:36:20,480
+Receptor Superfamily مدينة من خلال
+
+446
+00:36:20,480 --> 00:36:24,580
+مجموعة من الـ Adapter Protein بيسموها الـTumor
+
+447
+00:36:24,580 --> 00:36:30,600
+Necrosis Factor Receptor Associated Factor و هذه
+
+448
+00:36:30,600 --> 00:36:35,600
+الـ Receptorوالنكروسيس فاكتوريا الانتشارية
+
+449
+00:36:35,600 --> 00:36:36,180
+الانتشارية الانتشارية الانتشارية الانتشارية
+
+450
+00:36:36,180 --> 00:36:38,240
+الانتشارية الانتشارية الانتشارية الانتشارية
+
+451
+00:36:38,240 --> 00:36:39,620
+الانتشارية الانتشارية الانتشارية الانتشارية
+
+452
+00:36:39,620 --> 00:36:43,440
+الانتشارية الانتشارية الانتشارية الانتشارية
+
+453
+00:36:43,440 --> 00:36:48,460
+الانتشارية الانتشارية الانتشارية الانتشارية
+
+454
+00:36:48,460 --> 00:36:48,920
+الانتشارية الانتشارية الانتشارية الانتشارية
+
+455
+00:36:48,920 --> 00:36:51,020
+الانتشارية الانتشارية الانتشارية الانتشارية
+
+456
+00:36:51,020 --> 00:36:52,740
+الانتشارية الانتشارية الانتشارية الانتشارية
+
+457
+00:36:52,740 --> 00:37:00,540
+الانتشارية الانتشارية
+
+458
+00:37:01,880 --> 00:37:25,120
+وهي موجودة في مجموعة
+
+459
+00:37:25,120 --> 00:37:28,620
+متباينة من الـ pathogen مثل
+
+460
+00:37:31,150 --> 00:37:35,750
+Stryptococcus pneumonia اللي بترتبط بالـ Platelet
+
+461
+00:37:35,750 --> 00:37:40,270
+Activating Factor Receptor بترتبط بالـ Plasmodium
+
+462
+00:37:40,270 --> 00:37:47,110
+V-Vax اللي برتبط بالـ Duffy Blood Group Antigen
+
+463
+00:37:47,110 --> 00:37:54,410
+بترتبط بالـ HIV-1 اللي الـ Receptor تبعه عبارة عن
+
+464
+00:37:54,410 --> 00:37:59,310
+CXC R4 و Chemokine Receptor 5
+
+465
+00:38:01,950 --> 00:38:05,790
+هؤلاء المسؤولين لـ Viral Entry into T Cell and
+
+466
+00:38:05,790 --> 00:38:10,950
+Macrophage Respectively وهذا
+
+467
+00:38:10,950 --> 00:38:18,050
+عبارة عن دور الـ cytokine in disease راحظوا الخِجر
+
+468
+00:38:18,050 --> 00:38:25,490
+كيف تصبح القالية طبعا هذا عبارة عن Receptor مرتبط
+
+469
+00:38:25,490 --> 00:38:28,690
+بـ Adapter بروتيناي في الداخل من داخل الـ
+
+470
+00:38:28,690 --> 00:38:30,730
+Intracytoplasmic
+
+471
+00:38:32,560 --> 00:38:37,500
+بورشين مرتبط بال جاكي بروتين أي ال cytokine يفرز
+
+472
+00:38:37,500 --> 00:38:44,680
+يروح و مرتبط ب ال receptor تبعه فمتما ارتبط بال
+
+473
+00:38:44,680 --> 00:38:48,040
+receptor تبعه بيصير فيه ال diamerization شايفين
+
+474
+00:38:48,040 --> 00:38:53,400
+كده متباعد ال receptor عن بعض لكن يوم يجي ال
+
+475
+00:38:53,400 --> 00:38:57,040
+cytokine يفرز بيعمل diamerization ل ال receptors
+
+476
+00:38:57,040 --> 00:39:00,630
+متما صار في diamerization و يرشكله يعنيبصير
+
+477
+00:39:00,630 --> 00:39:03,170
+activation للجاك اللي هو ال adaptor البروتين
+
+478
+00:39:03,170 --> 00:39:08,230
+الداخلي ماشي و هذه عبارة عن energy dependent
+
+479
+00:39:08,230 --> 00:39:14,430
+process نفقد فيها طاقة ATP بيتحول ل ADP و في نفس
+
+480
+00:39:14,430 --> 00:39:20,870
+الوقت بيصير phosphorylation لل اللي هو الجاك يعني
+
+481
+00:39:20,870 --> 00:39:25,750
+بالطبط و عندما صار في activation للجاك بنشطلنا
+
+482
+00:39:25,750 --> 00:39:32,770
+another اللي هو البروتينبسموه STAT بيعملوا
+
+483
+00:39:32,770 --> 00:39:36,030
+phosphorylation مات برضه ماتصرفوا ال
+
+484
+00:39:36,030 --> 00:39:38,990
+phosphorylation لل STAT بيروحوا وصارله
+
+485
+00:39:38,990 --> 00:39:46,050
+Diamerization وإذا اتحصر Diamerized ال STAT بينتقل
+
+486
+00:39:46,050 --> 00:39:52,510
+الى ال nucleus و هناك برتبط بجينات المسئولة عن
+
+487
+00:39:52,510 --> 00:39:59,690
+transcription of specific air اللي هو action
+
+488
+00:40:01,290 --> 00:40:06,410
+مشي بيدها على السريع في الوضع الطبيعي الـ Receptor
+
+489
+00:40:06,410 --> 00:40:11,010
+متباعد مرتبط زي ما انتوا شايفين أيه بيتكوين من
+
+490
+00:40:11,010 --> 00:40:15,210
+Extra Cellular و Transmembrane و Intracytoplasmic
+
+491
+00:40:15,210 --> 00:40:19,390
+portion ال Intracytoplasmic portion مرتبط
+
+492
+00:40:19,390 --> 00:40:24,370
+ببروتينات بيسموها Adapter Protein اللي هو ال Jack
+
+493
+00:40:24,370 --> 00:40:30,470
+اللي هو عبارة عن Genus Activated Kinase مشي
+
+494
+00:40:31,850 --> 00:40:35,350
+This ده هو بمجرد ما يفرز الـ cytokine
+
+495
+00:40:35,350 --> 00:40:41,110
+Automatically الريسيبتر بيسمله Diamerization بيجرب
+
+496
+00:40:41,110 --> 00:40:45,370
+من بعضه ومتما جرب من بعضه ده هو صارله
+
+497
+00:40:45,370 --> 00:40:49,130
+Diamerization يعني غير شكله فدي رسالة لل jack ال
+
+498
+00:40:49,130 --> 00:40:53,650
+routine to be activated فده هو بتنطق طبعا هذه
+
+499
+00:40:53,650 --> 00:40:57,670
+energy independent زي ما شفنا ال ATP بيفقد ومتحول
+
+500
+00:40:57,670 --> 00:41:02,560
+ل ADP هتنشط ال jackاللي بنشطلنا على ال
+
+501
+00:41:02,560 --> 00:41:05,060
+transcriptional factor اللي هو عبارة عن الستات
+
+502
+00:41:05,060 --> 00:41:11,440
+البروتين و لما اتنشط الستات بس ال modernization
+
+503
+00:41:11,440 --> 00:41:16,940
+اللي بيتسهل دخوله ل ال nucleus و هناك يروح على ال
+
+504
+00:41:16,940 --> 00:41:21,600
+DNA ويرتبط بجينات معينة بيحفظ على ال transcription
+
+505
+00:41:21,600 --> 00:41:27,680
+تبعتها فرصة اه وبالتالي بيكون بروتين which induce
+
+506
+00:41:27,680 --> 00:41:28,320
+activity
+
+507
+00:41:34,750 --> 00:41:39,810
+Cytokine must generate intracellular signal طبعا
+
+508
+00:41:39,810 --> 00:41:45,390
+هذا يؤدي إلى انتجر الـ active transcriptional
+
+509
+00:41:45,390 --> 00:41:49,230
+factor وبالتالي في نهاية بيصير فيه gene expression
+
+510
+00:41:49,230 --> 00:41:53,710
+زي ما أشوف مطولة هذا عبارة عن شرح لهذا الموضوع
+
+511
+00:41:53,710 --> 00:41:56,870
+اللي قبل أن أتكلم عنه binding of a cytokine to its
+
+512
+00:41:56,870 --> 00:42:01,270
+cellular receptor ماذا بيعمل؟ بيعمل polymerization
+
+513
+00:42:01,270 --> 00:42:02,130
+أو
+
+514
+00:42:05,690 --> 00:42:09,850
+Signaling is initiated by activation of JAK, نشط
+
+515
+00:42:09,850 --> 00:42:14,530
+JAK kinases.هذا عبارة عن family of cytosolic
+
+516
+00:42:14,530 --> 00:42:20,030
+protein tyrosine kinase بيصير في interaction that
+
+517
+00:42:20,030 --> 00:42:27,100
+interact with cytoplasmic domainطبعا هذا بيؤدي الى
+
+518
+00:42:27,100 --> 00:42:30,760
+phosphorylation of tyrosine residue اللى موجودة في
+
+519
+00:42:30,760 --> 00:42:34,400
+الـcytoplasmic دوين of the receptor ان شرحته هذا
+
+520
+00:42:34,400 --> 00:42:38,320
+الكلام طوأ شرحته على الفجر أنا and on a family of
+
+521
+00:42:38,320 --> 00:42:41,460
+transcriptional factors بيسموها STAT او باقتصارها
+
+522
+00:42:41,460 --> 00:42:46,820
+ل signal transduction and activator of
+
+523
+00:42:46,820 --> 00:42:47,640
+transcription
+
+524
+00:42:51,360 --> 00:42:55,400
+بالطبع مرة كانت فوسفوريلية من مصادر التشريكات
+
+525
+00:42:55,400 --> 00:42:56,020
+التشريكات التشريكات التشريكات التشريكات التشريكات
+
+526
+00:42:56,020 --> 00:42:57,380
+التشريكات التشريكات التشريكات التشريكات التشريكات
+
+527
+00:42:57,380 --> 00:42:59,620
+التشريكات التشريكات التشريكات التشريكات التشريكات
+
+528
+00:42:59,620 --> 00:42:59,920
+التشريكات التشريكات التشريكات التشريكات التشريكات
+
+529
+00:42:59,920 --> 00:43:01,940
+التشريكات التشريكات التشريكات التشريكات التشريكات
+
+530
+00:43:01,940 --> 00:43:01,940
+التشريكات التشريكات التشريكات التشريكات التشريكات
+
+531
+00:43:01,940 --> 00:43:02,180
+التشريكات التشريكات التشريكات التشريكات التشريكات
+
+532
+00:43:02,180 --> 00:43:12,640
+التشريكات التشريكات التشريكات التشريكات التشريك
+
+533
+00:43:14,550 --> 00:43:19,130
+بتكون مصحوبة بـ cytoplasmic protein بيسموهم بإفراز
+
+534
+00:43:19,130 --> 00:43:22,870
+طبعا تكوين cytoplasmic protein بيسموهم suppressor
+
+535
+00:43:22,870 --> 00:43:28,590
+of cytokine suppressor of cytokine أو بيسموهم SOX
+
+536
+00:43:28,590 --> 00:43:34,290
+protein and this signaling protein regulate the
+
+537
+00:43:34,290 --> 00:43:38,590
+signal transduction من خلال ارتباط بـ cytokine
+
+538
+00:43:38,590 --> 00:43:41,590
+receptor وبالتالي ال signaling protein
+
+539
+00:43:45,750 --> 00:43:51,090
+بصير لها دي degradation يعني .. يعني متى ما هي
+
+540
+00:43:51,090 --> 00:43:56,130
+بتنافس ال .. اللي هو ال signaling بروتين في
+
+541
+00:43:56,130 --> 00:44:00,190
+الارتباط بال receptor تبعته وبالتالي بيبطل في
+
+542
+00:44:00,190 --> 00:44:05,030
+action لمين في تكوين ال cytokine او وبالتالي مافيش
+
+543
+00:44:05,030 --> 00:44:09,970
+reaction دي regulation of normal socks بلعب دور
+
+544
+00:44:09,970 --> 00:44:21,070
+كبيرفي حالات مرضية مختلفة اللقب في هذه الطبال
+
+545
+00:44:21,070 --> 00:44:28,050
+ناحية علاجية طبعا استخدام ال protein can
+
+546
+00:44:28,050 --> 00:44:35,090
+manipulate the function of certain cytokine
+
+547
+00:44:35,090 --> 00:44:40,270
+وبالتالي we can treat diseases by using them
+
+548
+00:44:43,160 --> 00:44:47,440
+طب نشوف دورهم دور ال cytokine في حالات مرضية نمر
+
+549
+00:44:47,440 --> 00:44:54,200
+واحد toxic shock syndrome غالبا بنشوفها لما قلنا
+
+550
+00:44:54,200 --> 00:44:58,200
+لما بيخش ال antigen بكمية كبيرة بيتوفرز ال
+
+551
+00:44:58,200 --> 00:45:00,880
+cytokine بكمية كبيرة و بتعملنا toxic shock
+
+552
+00:45:00,880 --> 00:45:04,080
+syndrome شو اللي بيصير it's initiated by the
+
+553
+00:45:04,080 --> 00:45:07,020
+release of super antigen في حالة ال super antigen
+
+554
+00:45:08,870 --> 00:45:11,170
+شو اللي بيصير؟ بتكون كمية كبيرة من الـ cytokine
+
+555
+00:45:11,170 --> 00:45:17,310
+اللي بتنشر كمية كبيرة من الـ T lymphocyte هو يعني
+
+556
+00:45:17,310 --> 00:45:20,490
+بيقولوا ان هو الفرق بين ال antigen العادي وال
+
+557
+00:45:20,490 --> 00:45:22,690
+super antigen دخول ال antigen العادي وال super
+
+558
+00:45:22,690 --> 00:45:27,810
+antigen في تنشيط ال T lymphocyte تقريبا في وجود ال
+
+559
+00:45:27,810 --> 00:45:34,490
+antigen العادي واحد من عشر تلاف من ال T lymphocyte
+
+560
+00:45:34,490 --> 00:45:40,820
+اللي موجودة في الجسم تتنشربينما في وجود ال super
+
+561
+00:45:40,820 --> 00:45:44,760
+antigen كل ال cytokine التليفوسيت اللي موجودة في
+
+562
+00:45:44,760 --> 00:45:50,700
+الجسم تتنشر فتخيل الفرق بين التانين طبعا هذا بيأدي
+
+563
+00:45:50,700 --> 00:45:55,980
+إلى هذا بي .. بي .. بي .. بي .. بيصير في وجود
+
+564
+00:45:55,980 --> 00:45:59,480
+excessive
+
+565
+00:45:59,480 --> 00:46:04,200
+production of cytokine ووجود لل cytokine بكمية
+
+566
+00:46:04,200 --> 00:46:09,980
+كبيرة بتعمل dysregulation للCytokine Network بيؤدي
+
+567
+00:46:09,980 --> 00:46:14,680
+الى I level YL1 and tumor necrosis factor و هدولة
+
+568
+00:46:14,680 --> 00:46:17,760
+ال cytokine two cytokine دي induce systemic
+
+569
+00:46:17,760 --> 00:46:24,000
+reaction بما فيها الفيور و blood clotting ديارية
+
+570
+00:46:24,000 --> 00:46:28,080
+drop in blood pressure and shock و بعض المرات
+
+571
+00:46:28,080 --> 00:46:35,190
+بيصير فيه deathماشي يبقى افراز ال IL-1 و ال human
+
+572
+00:46:35,190 --> 00:46:40,690
+cross factor بكمية كبيرة نتجة وجود انتجن بكمية
+
+573
+00:46:40,690 --> 00:46:45,590
+كبيرة و تنشيط الينفوسايت بكمية كبيرة بيؤدي إلى
+
+574
+00:46:45,590 --> 00:46:50,030
+اللي هو toxic shock syndrome اللي من مظاهرها طبعا
+
+575
+00:46:50,030 --> 00:46:53,430
+fever و زي ما قلنا ده هو blood clotting diarrhea
+
+576
+00:46:53,430 --> 00:46:58,350
+drop in blood pressure و shock و ممكن تؤدي الى
+
+577
+00:46:58,350 --> 00:47:03,470
+الوفاةحالة الـ Bacterial Septic Shock أيضًا
+
+578
+00:47:03,470 --> 00:47:08,690
+Overproduction of Cytokine اللي غالبًا بتكون
+
+579
+00:47:08,690 --> 00:47:12,010
+مسحوبة في وجود Gram Negative Bacterial Infection
+
+580
+00:47:12,010 --> 00:47:18,970
+أو Endotoxin produced by these bacteria بتنشطلنا
+
+581
+00:47:18,970 --> 00:47:24,530
+الماكروفاج وبالتالي بتفرز IL-1 وTumor Noxious
+
+582
+00:47:24,530 --> 00:47:29,740
+Factor توي شفناهم Alphaاللي بيقدّو الى fatal form
+
+583
+00:47:29,740 --> 00:47:42,780
+of bacterial septic shock حالة
+
+584
+00:47:42,780 --> 00:47:50,300
+ال cancer في حالة ال cancer بيصير
+
+585
+00:47:50,300 --> 00:47:56,020
+فيه طبعا اكتر من خلايا seboral lymphoid و myeloid
+
+586
+00:47:56,020 --> 00:47:56,520
+cancer
+
+587
+00:47:59,730 --> 00:48:02,570
+اللي are associated with abnormally high level of
+
+588
+00:48:02,570 --> 00:48:06,410
+cytokine وبالتالي بيصير برضه cytokine receptor
+
+589
+00:48:06,410 --> 00:48:10,990
+expression بكميات كبيرة فعلى سبيل المثال أضل T سلو
+
+590
+00:48:10,990 --> 00:48:21,250
+كيميا غالبا يكون فيها T سلو أو نتيجة T سلو كيميا
+
+591
+00:48:21,250 --> 00:48:23,150
+virus اللي هو ال HDLV1
+
+592
+00:48:25,350 --> 00:48:33,530
+هذه الفيروسات يمكنها انفكار تلينفوسايت
+
+593
+00:48:33,530 --> 00:48:41,630
+ووجدتها بتفرز IL-2 بكميات كبيرة و IL-2 ريسبتور في
+
+594
+00:48:41,630 --> 00:48:47,750
+غياب الانتيجن هذا بيؤدي الى autocrine stimulation
+
+595
+00:48:47,750 --> 00:48:52,750
+of infected T cell وطبعا بيؤدي الى uncontrolled
+
+596
+00:48:52,750 --> 00:48:59,450
+growthبجفعات الـ T cell leukemia اللي طبعا مسببها
+
+597
+00:48:59,450 --> 00:49:00,610
+HTLV-1
+
+598
+00:49:05,050 --> 00:49:08,930
+T lymphocyte is infected with this virus وبالتالي
+
+599
+00:49:08,930 --> 00:49:13,030
+تفرز ال IL-2 بكميات كبيرة كمان ال receptor تبع ال
+
+600
+00:49:13,030 --> 00:49:19,590
+IL-2 بيفرز بكميات كبيرة وبالتالي بتتنشط اللي هو ال
+
+601
+00:49:19,590 --> 00:49:26,410
+T lymphocyte عدد كبير من T lymphocyte في غياب ال
+
+602
+00:49:26,410 --> 00:49:31,830
+antigen و هذا بيقدي ال autocrine stimulation
+
+603
+00:49:38,860 --> 00:49:43,300
+مثال آخر نيو بلاستيك بي سيل كمية كبيرة بينما ينتج
+
+604
+00:49:43,300 --> 00:49:49,680
+سكس مثال آخر هودجكين ديزيز كمية كبيرة من عيال
+
+605
+00:49:49,680 --> 00:49:58,440
+فوايف تنتج في ال auto immunity و ال disease ال
+
+606
+00:49:58,440 --> 00:50:00,480
+تيرينفوسايت
+
+607
+00:50:02,980 --> 00:50:10,680
+أشعر بالتحكم التحكمي لجيلات وجيلات الانتيوبيا
+
+608
+00:50:10,680 --> 00:50:16,500
+والتحكم في الانتيوبيا.شو
+
+609
+00:50:16,500 --> 00:50:23,760
+بتعمل؟ بعضها بسبب حركة T-Hilbert-Cell.
+
+610
+00:50:28,980 --> 00:50:35,360
+activation of T-Helper subset cell
+
+611
+00:50:35,360 --> 00:50:39,740
+وبالتالي الـ cytokine اللي بتفرز منها بما فيها IL
+
+612
+00:50:39,740 --> 00:50:47,900
+-10 و Gamma Interferon و IL-4 و several cytokine
+
+613
+00:50:47,900 --> 00:50:53,960
+and cytokine receptor abnormality سجلت are
+
+614
+00:50:53,960 --> 00:50:59,310
+associated with autosystemic autoimmune diseaseزي
+
+615
+00:50:59,310 --> 00:51:02,570
+الـ SLE وبرنامج autoimmune disease اللي لجوا فيها
+
+616
+00:51:02,570 --> 00:51:07,090
+عيالتين بكمية كبيرة الـ cytokine أيضا تلعب دور
+
+617
+00:51:07,090 --> 00:51:10,610
+كبير في ال pathophysiology وغذر immune based
+
+618
+00:51:10,610 --> 00:51:14,190
+disease بما فيها الألرجي والأزمة وinflammatory
+
+619
+00:51:14,190 --> 00:51:16,030
+disease زي ال rheumatoid arthritis
+
+620
+00:51:21,420 --> 00:51:26,140
+Therapeutic and diagnostic exploitation of
+
+621
+00:51:26,140 --> 00:51:31,040
+cytokine and cytokine receptor كيفية الاستفادة
+
+622
+00:51:31,040 --> 00:51:36,880
+وتسخير هذه العلاجات تسخير هذه ال cytokine و ال
+
+623
+00:51:36,880 --> 00:51:40,460
+cytokine receptor في ناحية علاجية cytokine
+
+624
+00:51:40,460 --> 00:51:44,140
+inhibitor او antagonist هذه اول حاجة كيف ممكن نعمل
+
+625
+00:51:44,140 --> 00:51:49,300
+وقف على بال اللي هو cytokine circulating soluble
+
+626
+00:51:49,300 --> 00:51:50,340
+cytokine receptor
+
+627
+00:52:00,900 --> 00:52:04,640
+بالتالي لو عملنا نيوتراليزيشن للاكتفية من هذه الـ
+
+628
+00:52:04,640 --> 00:52:10,640
+cytokine أو الريسيبتور نعمل عملية توقيف لنشاط هذا
+
+629
+00:52:10,640 --> 00:52:14,660
+الـ cytokine عملية
+
+630
+00:52:14,660 --> 00:52:18,380
+ارتباط الـ cytokine بالريسيبتور تبعه هي عبارة عن
+
+631
+00:52:18,380 --> 00:52:23,370
+process specificيوم ما نعمل neutralization إما للـ
+
+632
+00:52:23,370 --> 00:52:27,150
+cytokine وإما للـ receptor مانتوا احنا بنوقف رقيش
+
+633
+00:52:27,150 --> 00:52:32,450
+عمل هذا الـ cytokine مثال على ذلك these inhibitors
+
+634
+00:52:32,450 --> 00:52:35,870
+اللي
+
+635
+00:52:35,870 --> 00:52:41,440
+ترتبط بالـIal-2، Ial-4، Ial-6، Ial-7، Gamma
+
+636
+00:52:41,440 --> 00:52:45,360
+Interferon وTumor Necrosis Factor.Tumor Necrosis
+
+637
+00:52:45,360 --> 00:52:49,640
+Factor Inhibitor على سبيل المثال تستخدم في اللي هو
+
+638
+00:52:49,640 --> 00:52:55,280
+علاج روماتويد أرثراتيز لأن في روماتويد أرثراتيز في
+
+639
+00:52:55,280 --> 00:52:57,740
+increase level of tumor necrosis factor Ial-1
+
+640
+00:52:57,740 --> 00:53:04,640
+موجودة في ال joints Ial-1 Receptor Antagonist اللي
+
+641
+00:53:04,640 --> 00:53:09,330
+هوالـ Antagonist للـ IL-1 ريسبتور مرتبط بالـ IL-1
+
+642
+00:53:09,330 --> 00:53:13,770
+ريسبتور اللي موجود على سطح الـ TCD4T-Lymphocyte
+
+643
+00:53:13,770 --> 00:53:19,110
+وبالتالي بيرنع ارتباط الـ IL-1 وبالتالي مافيش
+
+644
+00:53:19,110 --> 00:53:27,890
+activation IL-1 Receptor Antagonist بيسموه IL-1RA
+
+645
+00:53:27,890 --> 00:53:34,750
+يعني Receptor Antagonistبيستخدم في علاج chronic
+
+646
+00:53:34,750 --> 00:53:40,090
+inflammatory diseases ايضا we can استخدام ال
+
+647
+00:53:40,090 --> 00:53:43,770
+inhibitor كعلاج
+
+648
+00:53:43,770 --> 00:53:50,390
+ايضا we can reverse cellular deficiency يعني واحد
+
+649
+00:53:50,390 --> 00:53:53,290
+عنده neutropenia زي ما شفنا في حالة ال
+
+650
+00:53:53,290 --> 00:53:58,120
+chemotherapyبكيف بدنا نعملها reversing بنبدي
+
+651
+00:53:58,120 --> 00:54:04,400
+cytokine تحفظ عملية air ل growth of اللي هو
+
+652
+00:54:04,400 --> 00:54:08,900
+neutrophil هذا بيصير في حالة ال chemotherapy
+
+653
+00:54:08,900 --> 00:54:15,780
+ويأمثل على ذلك اللي هو GCSF و GMCSF ايضا في
+
+654
+00:54:15,780 --> 00:54:20,760
+امكانية الاستغلالهم في علاج ال immunodeficiency
+
+655
+00:54:22,310 --> 00:54:24,950
+مثلًا في حالة الـ X-linked A-Gamma-Globulinemia
+
+656
+00:54:24,950 --> 00:54:31,350
+ممكن أن يعالجها بالـ G-CSF to reverse the
+
+657
+00:54:31,350 --> 00:54:36,150
+neutropenia Gamma Interferon بيقلل من ال severity
+
+658
+00:54:36,150 --> 00:54:42,850
+of infection غالبًا بواسطة زيادة الـ non-oxidative
+
+659
+00:54:42,850 --> 00:54:48,510
+antimicrobial activity أيضًا treatment of cancer
+
+660
+00:54:48,510 --> 00:54:50,830
+and transplanting
+
+661
+00:54:53,250 --> 00:54:57,630
+الشخص اللذي يتعامل مع مجتمع الانكيسيل أو
+
+662
+00:54:57,630 --> 00:55:03,550
+تلينفوسايت فيوزود كميات كبيرة من ال IL-2 تؤدي إلى
+
+663
+00:55:03,550 --> 00:55:08,790
+تكوين الانكسيسيل الافكتوريات اللي هم قوية لديها
+
+664
+00:55:08,790 --> 00:55:09,290
+عملية عملية عملية عملية عملية عملية عملية عملية
+
+665
+00:55:09,290 --> 00:55:12,390
+عملية عملية عملية عملية عملية عملية عملية عملية
+
+666
+00:55:12,390 --> 00:55:13,550
+عملية عملية عملية عملية عملية عملية عملية عملية
+
+667
+00:55:13,550 --> 00:55:15,070
+عملية عملية عملية عملية عملية عملية عملية عملية
+
+668
+00:55:15,070 --> 00:55:15,070
+عملية عملية عملية عملية عملية عملية عملية عملية
+
+669
+00:55:15,070 --> 00:55:16,030
+عملية عملية عملية عملية عملية عملية عملية عملية ع
+
+670
+00:55:16,340 --> 00:55:19,700
+as it enhances the expression وعمل الـCGT2
+
+671
+00:55:19,700 --> 00:55:23,740
+للموليكيول ما يحصل هو نأخذ أنكسي الأوساط
+
+672
+00:55:23,740 --> 00:55:28,280
+التكسكتيينفوسات ونعملها culture في وجود IL-2 فبصير
+
+673
+00:55:28,280 --> 00:55:34,420
+في كميات كبيرة من الخلايا المنعية الفاعلة هذه و
+
+674
+00:55:34,420 --> 00:55:39,200
+these have potent antitumor activity اللي طبعا يوم
+
+675
+00:55:39,200 --> 00:55:41,880
+ما تتنشط بيصير فيه إفراز لـGamma Interferon على
+
+676
+00:55:41,880 --> 00:55:46,100
+سبيل المثال إيش؟ كيف بيشتغل؟
+
+677
+00:55:48,470 --> 00:55:53,850
+هو الـ Killing of Tumor Cell كيف؟ لأنه بيزود ال
+
+678
+00:55:53,850 --> 00:55:57,210
+expression of MHC Class II موليكيول على سطح
+
+679
+00:55:57,210 --> 00:56:02,730
+الخلايا السرينة Cytokine Receptor Specific
+
+680
+00:56:02,730 --> 00:56:08,270
+Antibody ممكن نستخدم اللي هو antibody specific
+
+681
+00:56:08,270 --> 00:56:12,130
+لcytokine receptor معين
+
+682
+00:56:19,480 --> 00:56:25,940
+مثال على ذلك ان قضل T cell leukemia lymphoma ATLL
+
+683
+00:56:25,940 --> 00:56:31,960
+الليوكيميكس ال اكسبيس ايالتو ريسبتور Alpha Chain
+
+684
+00:56:31,960 --> 00:56:39,100
+بو CD25 فاليوم بيستخدموا ال entity Anti CD25
+
+685
+00:56:39,100 --> 00:56:45,720
+Antibodyطبعا هذه بتعمل Anti-Tag Antibody بيسموها
+
+686
+00:56:45,720 --> 00:56:51,860
+That induce response in one third of the patient
+
+687
+00:56:51,860 --> 00:56:56,260
+يعني المهم أثبتت جدارتها في تلت حالات .. تلت
+
+688
+00:56:56,260 --> 00:57:04,800
+المرضى في هذه الحالةAnti-T Anti-CD25 Therapy اليوم
+
+689
+00:57:04,800 --> 00:57:08,540
+بيستخدم as part of regimen of immunosuppressive
+
+690
+00:57:08,540 --> 00:57:12,620
+therapy بنشوفها في كل مرضى ال transplanted patient
+
+691
+00:57:12,620 --> 00:57:19,260
+اللي بياخدوا كنوع من أنواع اللي هو التثبيت ال
+
+692
+00:57:19,260 --> 00:57:26,480
+Allograft أو ال transplant rejection Treatment
+
+693
+00:57:26,480 --> 00:57:32,670
+of allergy and asthmaاليوم بعمل انجيكشن ل IL-4 شو
+
+694
+00:57:32,670 --> 00:57:39,150
+بتعمل IL-4؟ بتوعها عاملة class switching لـ B
+
+695
+00:57:39,150 --> 00:57:44,810
+lymphocytes وبالتالي بتغير نوع ال antibody اللي
+
+696
+00:57:44,810 --> 00:57:50,110
+متكون في حالة ال RIG بتغير من ال IGE لل IGG
+
+697
+00:57:52,720 --> 00:57:56,360
+بعد ذلك يجب أن تستخدم الـ IL-4 ريسبتور و ليس فقط
+
+698
+00:57:56,360 --> 00:58:02,100
+الـ IL-4 الـ cytokine كمان الريسبتور تبعه كمان لا
+
+699
+00:58:02,100 --> 00:58:09,260
+ننسى تيهيلبر 17 تي سيل و IL-17 الـ cytokine family
+
+700
+00:58:09,260 --> 00:58:17,800
+ماذا بتعمل؟ قالوا هذه بتعمل filling the gap كيف؟
+
+701
+00:58:17,800 --> 00:58:24,850
+قالوابإمكانهم إستعمال إجارة الإجارة الإيمينية. ما
+
+702
+00:58:24,850 --> 00:58:27,870
+يفعل IL-17؟ جاله Stimulate Demobilization and
+
+703
+00:58:27,870 --> 00:58:31,590
+Generation of Neutrophil. وبالتالي، يقوموا بإعادة
+
+704
+00:58:31,590 --> 00:58:34,810
+الفرق بين الإجارة الإيمينية والإجارة الإجارية
+
+705
+00:58:34,810 --> 00:58:44,230
+الإيمينية. IL-17 يشتغل في حالات الإجارة الإيمينية
+
+706
+00:58:44,230 --> 00:58:44,650
+والإجارة الإيمينية.
+
+707
+00:58:49,190 --> 00:58:53,070
+الـ innate والـ adaptive immune responses ايضا الـ
+
+708
+00:58:53,070 --> 00:58:57,210
+Tlbar-17 بتمثل
+
+709
+00:58:57,210 --> 00:59:04,310
+الذراع الـ adaptive immune response وبتمثل
+
+710
+00:59:04,310 --> 00:59:07,970
+طبعا ذراع قوي in protection against extracellular
+
+711
+00:59:07,970 --> 00:59:16,480
+bacteria and some fungi وهذه بعضالبركتيريا أو
+
+712
+00:59:16,480 --> 00:59:22,380
+الفنجايا التي تغطيها البروانوتيا البرتوما IL-17
+
+713
+00:59:22,380 --> 00:59:28,420
+تدفع تحريك التحريك والتحريك النوتروفيل نوتروفيل
+
+714
+00:59:28,420 --> 00:59:33,400
+نوتروفيل نوتروفيل نوتروفيل نوتروفيل نوتروفيل
+
+715
+00:59:33,400 --> 00:59:38,680
+نوتروفيل
+
+716
+00:59:47,940 --> 00:59:58,540
+بالتأكيد الـ K-Mediator يعتبر الـ IL-17
+
+717
+00:59:58,540 --> 01:00:01,720
+مدير
+
+718
+01:00:01,720 --> 01:00:09,760
+مختلف من الـ Auto-inflammatory cytokine وطبعا
+
+719
+01:00:09,760 --> 01:00:17,350
+هنابيبين لنا دور أو الخطوات اللي بتكون فيها الـ
+
+720
+01:00:17,350 --> 01:00:25,490
+neutrophil to induce its action طبعا
+
+721
+01:00:25,490 --> 01:00:29,470
+هذه عبارة عن خطوات الـ phagocytosis زي ما انتوا
+
+722
+01:00:29,470 --> 01:00:34,530
+شايفين هذه عبارة عن blood endothelial cells بتبطن
+
+723
+01:00:34,530 --> 01:00:38,170
+جدار الوعي الدمويفي الوضع الطبيعي الـ neutrophil
+
+724
+01:00:38,170 --> 01:00:44,270
+is rolling على سطح ال endothelial cells once
+
+725
+01:00:44,270 --> 01:00:52,480
+activated كمال ياديرانسأول خطوة من الخطوات اللي هو
+
+726
+01:00:52,480 --> 01:00:56,840
+الـ phagocytosis ثم بعد ذلك طبعا ال adherence with
+
+727
+01:00:56,840 --> 01:01:00,040
+adhesion molecule على سطح ال endothelial cell
+
+728
+01:01:00,040 --> 01:01:03,260
+بتعمل activation لل endothelial cell وبالتالي
+
+729
+01:01:03,260 --> 01:01:08,040
+بيصير فيه تباعد بين الخلايا فبتعمل Trans
+
+730
+01:01:08,040 --> 01:01:12,000
+endothelial migration بتعمل Diabeteses هذه
+
+731
+01:01:12,000 --> 01:01:17,940
+النيترافيل وده هي طلعت من وين من ال endothelial to
+
+732
+01:01:17,940 --> 01:01:23,030
+the tissueيعني Migration of Neutrophil ثم بتتبع
+
+733
+01:01:23,030 --> 01:01:27,890
+الـ Chemotactic Factor Concentration Gradient ده
+
+734
+01:01:27,890 --> 01:01:34,210
+هو مثال على ذلك اللي هو ILA و بتبقى ماشية لغاية ما
+
+735
+01:01:34,210 --> 01:01:36,910
+تصلمين لل Antigen
+
+736
+01:01:39,770 --> 01:01:45,390
+هذا مثال آخر على الـ Receptors بيبين لنا ارتباط
+
+737
+01:01:45,390 --> 01:01:50,370
+الـ cytokine بالـ Receptors with the affinity of
+
+738
+01:01:50,370 --> 01:01:54,510
+cytokine receptor binding طبعا حسب نوع الـ
+
+739
+01:01:54,510 --> 01:01:58,490
+cytokine إذا كان double-chain أو triple-chain طبعا
+
+740
+01:01:58,490 --> 01:02:03,690
+في الـ double-chain بيكون affinity of bindingمن ال
+
+741
+01:02:03,690 --> 01:02:07,710
+triple chain هي انا intermediate affinity and high
+
+742
+01:02:07,710 --> 01:02:11,770
+affinity لانها عيش لانها triple chain و طبعا هذا
+
+743
+01:02:11,770 --> 01:02:18,970
+فقط مثال على ال affinity or binding هي انا عشرة
+
+744
+01:02:18,970 --> 01:02:24,130
+قوة minus تسعة انا صارت عشرة قوة minus eleven لان
+
+745
+01:02:24,130 --> 01:02:30,650
+اتنشط طبعا اللي هو ال anky cell restingor resting
+
+746
+01:02:30,650 --> 01:02:36,510
+T lymphocytes أنا صار في activation ل T
+
+747
+01:02:36,510 --> 01:02:46,050
+lymphocytes بهك بنكون مرينا على المحاضرة
+
+748
+01:02:46,050 --> 01:02:55,050
+و أخدنا اللي هو general view على ذلك
+
diff --git a/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/LIZ6qHppDBc_postprocess.srt b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/LIZ6qHppDBc_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..31bb2d6153f251ab9e26d3bf112b4a30ff6a22ab
--- /dev/null
+++ b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/LIZ6qHppDBc_postprocess.srt
@@ -0,0 +1,2940 @@
+1
+00:00:01,970 --> 00:00:06,570
+بسم الله الرحمن الرحيم اليوم
+
+2
+00:00:06,570 --> 00:00:10,790
+ان شاء الله احنا نحكي في محاضرة جديدة بعنوان
+
+3
+00:00:10,790 --> 00:00:16,750
+transplantation what's going on what are the
+
+4
+00:00:16,750 --> 00:00:26,250
+mechanisms involved what are the new mechanisms
+
+5
+00:00:26,250 --> 00:00:31,590
+involved in rejectionهنحكي على application of
+
+6
+00:00:31,590 --> 00:00:34,230
+transplantation هنحكي على hemopoietic stem cell
+
+7
+00:00:34,230 --> 00:00:39,050
+transplantation ونشوف المصطلحات medical terms
+
+8
+00:00:39,050 --> 00:00:44,230
+associated with transplantation بشكل عام كنا بنعرف
+
+9
+00:00:44,230 --> 00:00:47,490
+أنه في على ال tissue و ال organs of the body
+
+10
+00:00:47,490 --> 00:00:52,950
+أنتجين أيضا في على ال white blood cell ال MHC
+
+11
+00:00:52,950 --> 00:00:57,950
+أنتجين these antigens are highly polymorphic among
+
+12
+00:00:57,950 --> 00:01:01,890
+the populationوبالتالي، الاتصال بين مستخدم ومستخدم
+
+13
+00:01:01,890 --> 00:01:02,830
+مصالح ومستخدم مستخدم مستخدم مستخدم مستخدم مستخدم
+
+14
+00:01:02,830 --> 00:01:03,150
+مستخدم مستخدم مستخدم مستخدم مستخدم مستخدم مستخدم
+
+15
+00:01:03,150 --> 00:01:07,650
+مستخدم مستخدم مستخدم مستخدم مستخدم مستخدم مستخدم
+
+16
+00:01:07,650 --> 00:01:09,770
+مستخدم مستخدم مستخدم مستخدم مستخدم مستخدم مستخدم
+
+17
+00:01:09,770 --> 00:01:10,530
+مستخدم مستخدم مستخدم مستخدم مستخدم مستخدم مستخدم
+
+18
+00:01:10,530 --> 00:01:14,110
+مستخدم مستخدم مستخدم مستخدم مستخدم مستخدم مستخدم
+
+19
+00:01:14,110 --> 00:01:17,870
+مستخدم مستخدم مستخدم مستخدم مستخدم مستخدم مستخدم
+
+20
+00:01:17,870 --> 00:01:22,750
+مستخدم مستخ
+
+21
+00:01:23,190 --> 00:01:28,590
+هذه العملية من عملية transplantation more common
+
+22
+00:01:28,590 --> 00:01:31,610
+place يعني very common place بمعنى ان صارت في
+
+23
+00:01:31,610 --> 00:01:38,330
+عمليات ال transplantation are common as possible
+
+24
+00:01:38,330 --> 00:01:43,010
+الفيجور
+
+25
+00:01:43,010 --> 00:01:46,470
+هذا اللي بيبين ان ال relationship between donor
+
+26
+00:01:46,470 --> 00:01:47,190
+and recipient
+
+27
+00:01:52,350 --> 00:01:56,990
+زي ما انتوا شايفين انواع ال graft الأولاني هو
+
+28
+00:01:56,990 --> 00:02:02,630
+عبارة عن autograft الإنسان ممكن ياخد من أي مكان في
+
+29
+00:02:02,630 --> 00:02:08,790
+جسمه لجسمه في مكان آخر استخداماتها كثيرة في الحروق
+
+30
+00:02:08,790 --> 00:02:14,810
+و بيسموه ال autograft و في ال هذا النوع من ال
+
+31
+00:02:14,810 --> 00:02:20,110
+autograft يعني is not rejected it's takenالموضوع
+
+32
+00:02:20,110 --> 00:02:29,490
+التاني من ال drafting هو بين individual او
+
+33
+00:02:29,490 --> 00:02:33,250
+identical twins they have زي ما انتوا شايفين the
+
+34
+00:02:33,250 --> 00:02:39,310
+same MSC molecule وبالتالي ايضا ال graft is not
+
+35
+00:02:39,310 --> 00:02:43,880
+rejected between these individualهو تالت من
+
+36
+00:02:43,880 --> 00:02:48,700
+الـGrafting هو الـGrafting بين مجموعات مختلفة من
+
+37
+00:02:48,700 --> 00:02:53,300
+نفس المجموعات وبالتالي هم لديهم موليكيول MSC
+
+38
+00:02:53,300 --> 00:02:57,140
+مختلفة هذا A وهذا B وبالتالي يسمون الـGraft في هذه
+
+39
+00:02:57,140 --> 00:03:03,580
+الحالة Allograft وانتهى الـRejection أو بين
+
+40
+00:03:03,580 --> 00:03:09,710
+مجموعات مختلفة من مجموعات مختلفةزي ما انتوا شايفين
+
+41
+00:03:09,710 --> 00:03:14,830
+هي الفار والأجنب and this is called xenograft and
+
+42
+00:03:14,830 --> 00:03:19,870
+it's also they have different antigenic molecule
+
+43
+00:03:19,870 --> 00:03:26,230
+هي MCX و MCA وبالتالي the graft is also it's
+
+44
+00:03:26,230 --> 00:03:30,590
+called xenograft and rejected هذه هي أنواع ال
+
+45
+00:03:30,590 --> 00:03:36,090
+grafting هذا هو autograft graft of transplant from
+
+46
+00:03:36,090 --> 00:03:39,450
+one area to another of the same individualزي ما
+
+47
+00:03:39,450 --> 00:03:47,550
+قلنا لكوا ممكن في حالات الحروق في حالات ال on the
+
+48
+00:03:47,550 --> 00:03:52,330
+same individual ممكن ال graft يتاخد وان ال graft
+
+49
+00:03:52,330 --> 00:03:56,770
+في هذه الحالة بيعتبر as autologous graft or self
+
+50
+00:03:56,770 --> 00:04:01,210
+and the immune response will not induced against
+
+51
+00:04:01,210 --> 00:04:04,850
+itالنوع التاني اللي هو isograft زي ما قلنا بين
+
+52
+00:04:04,850 --> 00:04:12,430
+between isogenic or genetically identical twins
+
+53
+00:04:12,430 --> 00:04:20,130
+or individual و it's also not rejected اعتبرها
+
+54
+00:04:20,130 --> 00:04:27,440
+homozygoticor identical at once وهي طبعا في هذا
+
+55
+00:04:27,440 --> 00:04:34,180
+الحالة the graft is described as histocompatible
+
+56
+00:04:34,180 --> 00:04:39,800
+graft and individual نوع التالت اللي هو allograft
+
+57
+00:04:39,800 --> 00:04:41,920
+اللي هو between different individual of the same
+
+58
+00:04:41,920 --> 00:04:46,100
+species they have different MSC molecule because
+
+59
+00:04:46,100 --> 00:04:50,320
+of the MSC is polymorphic among individual طبعا في
+
+60
+00:04:50,320 --> 00:04:51,340
+هذا الحالة بيكون
+
+61
+00:04:58,680 --> 00:05:14,740
+الانتشارات الانتشارات الانتشارات الانتشارات
+
+62
+00:05:14,740 --> 00:05:19,340
+الانتشارات الانتشارات الانتشارات الانتشارات
+
+63
+00:05:19,340 --> 00:05:20,060
+الانتشارات الانتشارات الانتشارات الانتشارات
+
+64
+00:05:20,060 --> 00:05:20,080
+الانتشارات الانتشارات الانتشارات الانتشارات
+
+65
+00:05:20,080 --> 00:05:20,100
+الانتشارات الانتشارات الانتشارات الانتشارات
+
+66
+00:05:20,100 --> 00:05:20,420
+الانتشارات الان
+
+67
+00:05:24,520 --> 00:05:27,780
+الألوغرافت عادةً is rejected within the first two
+
+68
+00:05:27,780 --> 00:05:33,000
+weeks و بيسموها ال first set rejection في حاجة
+
+69
+00:05:33,000 --> 00:05:38,400
+اسمها second set rejection بتشير بعد ستة إلى تمان
+
+70
+00:05:38,400 --> 00:05:43,620
+أيام و هذا بيكون due to specific immunological
+
+71
+00:05:43,620 --> 00:05:47,360
+memory cell for the antigen expressed by the graft
+
+72
+00:05:47,360 --> 00:05:51,460
+يعني شافت ال antigen جامل هيك و اتنشطت أو رسلت
+
+73
+00:05:51,460 --> 00:05:54,910
+عاملة immune responseوتولد عن الـ immune response
+
+74
+00:05:54,910 --> 00:06:00,170
+memory cell لما عملنا drafting بيصير فيه إيش ال
+
+75
+00:06:00,170 --> 00:06:06,890
+memory cell well rejected CD4 T cell play crucial
+
+76
+00:06:06,890 --> 00:06:10,770
+role in rejection فيه نفس الحكاية this can be
+
+77
+00:06:10,770 --> 00:06:15,030
+proved by transferring these cells كي بنأكد أن CD4
+
+78
+00:06:15,030 --> 00:06:19,100
+T cell هي الأساس في الموضوعهي هذه الخلايا لو جينا
+
+79
+00:06:19,100 --> 00:06:28,360
+و حقنها في ايه ايش؟ حقنها في identical twins or
+
+80
+00:06:28,360 --> 00:06:33,340
+syngenic recipient وبعد فترة اجينا عملنا له
+
+81
+00:06:33,340 --> 00:06:39,260
+grafting as the same graft اللي كان معمول في
+
+82
+00:06:39,260 --> 00:06:44,220
+الانسان اللي صار عنده rejection هلاجي انه ال
+
+83
+00:06:44,220 --> 00:06:48,430
+rejection second recipient alsowith the same تقال
+
+84
+00:06:48,430 --> 00:06:54,130
+له graft هيعمل second rejection او set rejection
+
+85
+00:06:54,130 --> 00:06:57,110
+ايش يعني second set يعني هيصير فيه rejection
+
+86
+00:06:57,110 --> 00:07:02,910
+earlier than the first rejection اعيدها تاني مرة
+
+87
+00:07:02,910 --> 00:07:08,370
+تانية واحد صار في عنده ايش rejection first set
+
+88
+00:07:08,370 --> 00:07:15,490
+rejection بعد أسبوعين سبب في ذلك نشاط لل CD4CD4 هي
+
+89
+00:07:15,490 --> 00:07:20,490
+الأساس كيف أثبت أنه CD4 هي الأساس لأنه لو أخدناها
+
+90
+00:07:20,490 --> 00:07:26,670
+و أحقنها في single individual يعني identical twins
+
+91
+00:07:26,670 --> 00:07:34,430
+و روحنا بعد ما نحقنها روحنا ادينا ال twins هذا
+
+92
+00:07:34,430 --> 00:07:38,730
+اديناه نفس ال CD4 عملنا له drafting from the same
+
+93
+00:07:38,730 --> 00:07:42,850
+draft اللي كان في الأولهتلاقي انه صار في second
+
+94
+00:07:42,850 --> 00:07:48,990
+seed rejection عند ال individual ليش؟ طبعا لان ال
+
+95
+00:07:48,990 --> 00:07:52,990
+CD4 موجودة بالفعل وبالتالي وكأننا بنعمل ايه؟
+
+96
+00:07:52,990 --> 00:07:58,370
+secondary immune response هيكون easier وfaster
+
+97
+00:07:58,370 --> 00:08:04,350
+وهيكون في rejection اكتر دلوقت ان هذه الخلايا
+
+98
+00:08:04,350 --> 00:08:11,090
+اتنشطت وهي اللي عملت ال rejectionأي شخص يستطيع
+
+99
+00:08:11,090 --> 00:08:15,270
+أيضًا أن يشتغل في الانتجارات التشوية في الانتجارات
+
+100
+00:08:15,270 --> 00:08:19,890
+التشوية في الانتجارات التشوية في الانتجارات
+
+101
+00:08:19,890 --> 00:08:32,890
+التشوية في الانتجارات التشوية في الانتجارات
+
+102
+00:08:32,890 --> 00:08:36,490
+التشويةو طبعا هذه الخلايا دليل على ان في دي
+
+103
+00:08:36,490 --> 00:08:42,130
+دلوقتيب hypersensitivity of OCD4 و OCD8 اشتغلوا و
+
+104
+00:08:42,130 --> 00:08:46,330
+هم اللي عملوا ال rejection
+
+105
+00:08:50,240 --> 00:08:54,580
+animal that lack T lymphocyte هذا دليل آخر على أن
+
+106
+00:08:54,580 --> 00:08:58,540
+تيسل هي الأساس الناس اللي ماعندها مش T lymphocyte
+
+107
+00:08:58,540 --> 00:09:02,560
+will not reject allograft or even xenograft
+
+108
+00:09:02,560 --> 00:09:08,000
+process of rejection slow down وقت إيش جالوا إذا
+
+109
+00:09:08,000 --> 00:09:10,880
+كان استخدمنا منه suppressive drug
+
+110
+00:09:13,680 --> 00:09:16,620
+Category of allograft rejection قالوا في عندنا تلت
+
+111
+00:09:16,620 --> 00:09:19,860
+أنواع من ال rejection hyper acute و acute و أقريبا
+
+112
+00:09:19,860 --> 00:09:23,820
+و chronic طبعا ال hyper acute زي ما انتوا شايفين
+
+113
+00:09:23,820 --> 00:09:27,680
+it occurs within few minutes to few hours of
+
+114
+00:09:27,680 --> 00:09:33,120
+transplantation والسبب في ذلك انه transplanted is
+
+115
+00:09:33,120 --> 00:09:37,420
+distracted by pair formed antibody لمين؟ to
+
+116
+00:09:37,420 --> 00:09:40,980
+incompatible MSC antigen في already موجودة
+
+117
+00:09:40,980 --> 00:09:46,880
+antibody جاهزةمن ايش بتعمل؟ بتعمل ايش؟ بتشتغل ضد
+
+118
+00:09:46,880 --> 00:09:50,960
+الايش؟ لأمشي موليكول اللي دخل from the donor or
+
+119
+00:09:50,960 --> 00:09:53,560
+even sometime to carbohydrate expressed on
+
+120
+00:09:53,560 --> 00:09:57,920
+transplanted tissue وبالتالي على طول بيصير فيه ايش
+
+121
+00:09:57,920 --> 00:10:02,500
+rejection طبعا ان ال antibody هذي جاية يالو it can
+
+122
+00:10:02,500 --> 00:10:06,400
+be present from or results from previous
+
+123
+00:10:06,400 --> 00:10:11,350
+transplantation او blood transfusionOr Multiple
+
+124
+00:10:11,350 --> 00:10:16,190
+Pregnancy تلاقي فيه كل مرة بيتكون Antibody For
+
+125
+00:10:16,190 --> 00:10:18,790
+Foreign Antigen وبالتالي بيصير فيه Multiple
+
+126
+00:10:18,790 --> 00:10:26,130
+Antibody عند الست الحامل وهذه ممكن لو عملنا لها
+
+127
+00:10:26,130 --> 00:10:30,090
+transplantation تعمل rejection طب عند هذه
+
+128
+00:10:30,090 --> 00:10:33,170
+الانتبادي انتبادي are called cytotoxic antibody
+
+129
+00:10:33,170 --> 00:10:37,050
+and that can activate complement على المطرح ومش بس
+
+130
+00:10:37,050 --> 00:10:40,760
+تعمل platelet activation يعني فيه جلطةو
+
+131
+00:10:40,760 --> 00:10:44,320
+Interstitial Hemorrhage in transplanted tissue
+
+132
+00:10:44,320 --> 00:10:49,520
+which decreased blood flow in it يعني شو اللي
+
+133
+00:10:49,520 --> 00:10:52,660
+بيصير بيصير جلطة وبعد الجلطة بيصير تفحق وبتصير
+
+134
+00:10:52,660 --> 00:10:58,420
+نزير وبالإضافة لإنه في distraction للإيش لل
+
+135
+00:10:58,420 --> 00:11:04,640
+transplanted tissue المحصلة تدر كلام infraction or
+
+136
+00:11:04,640 --> 00:11:07,720
+tissue damage وبالتالي بيصير في decrease in blood
+
+137
+00:11:07,720 --> 00:11:12,020
+flow في هذه المنطقةو كما تشاهدون، الـ Cell
+
+138
+00:11:12,020 --> 00:11:14,320
+-mediated immunity لها ليس لها أي دور في الـ
+
+139
+00:11:14,320 --> 00:11:18,200
+Hyperacute Rejection كلها اللي بيحكي عبارة عن
+
+140
+00:11:18,200 --> 00:11:22,420
+Antibody Sitotoxic Antibody Only Present to the
+
+141
+00:11:22,420 --> 00:11:28,340
+transplanted tissue الـ
+
+142
+00:11:28,340 --> 00:11:29,420
+Acute Rejection
+
+143
+00:11:33,290 --> 00:11:37,410
+تحدث في مستخدم لم يكن قبل ذلك يكون مرتبط
+
+144
+00:11:37,410 --> 00:11:41,130
+بالترانسبلانت ما شافش الترانسبلانت قبل هيكو بتالي
+
+145
+00:11:41,130 --> 00:11:44,950
+هو ليس مرتبط بذلك شو اللي بيصير؟ قالوا تيلينفوسييت
+
+146
+00:11:44,950 --> 00:11:48,890
+بتتنشط if the rejection is due to T cell
+
+147
+00:11:48,890 --> 00:11:53,210
+activation و it can be activation either by direct
+
+148
+00:11:53,210 --> 00:11:57,230
+recognition to the alloantigen or indirectly نحن
+
+149
+00:11:57,230 --> 00:12:02,100
+شوفوا transplant tissue is mismatchوانتقر انتقر
+
+150
+00:12:02,100 --> 00:12:03,120
+انتقر انتقر انتقر انتقر انتقر انتقر انتقر انتقر
+
+151
+00:12:03,120 --> 00:12:08,440
+انتقر انتقر انتقر انتقر انتقر انتقر انتقر انتقر
+
+152
+00:12:08,440 --> 00:12:11,160
+انتقر انتقر انتقر انتقر انتقر انتقر انتقر انتقر
+
+153
+00:12:11,160 --> 00:12:12,000
+انتقر انتقر انتقر انتقر انتقر انتقر انتقر انتقر
+
+154
+00:12:12,000 --> 00:12:12,280
+انتقر انتقر انتقر انتقر انتقر انتقر انتقر انتقر
+
+155
+00:12:12,280 --> 00:12:14,540
+انتقر انتقر انتقر انتقر انتقر انتقCell-mediated
+
+156
+00:12:14,540 --> 00:12:17,900
+immunities manifested by intense infiltration of
+
+157
+00:12:17,900 --> 00:12:21,600
+lymphocyte and macrophage طبعا هنحكي على cell
+
+158
+00:12:21,600 --> 00:12:24,580
+-mediated immunity طبعا فهنا نشط فيها ال
+
+159
+00:12:24,580 --> 00:12:28,800
+macrophage مين نشطها ال T-lymphocytes بعد ما تقدم
+
+160
+00:12:28,800 --> 00:12:34,320
+إليها ال antigen and it can be recognized by T
+
+161
+00:12:34,320 --> 00:12:37,560
+-lymphocytes easily يوم يتقدم by antigen
+
+162
+00:12:37,560 --> 00:12:44,610
+presenting cell فبتنشط ال macrophageوبالتالي تصبح
+
+163
+00:12:44,610 --> 00:12:52,310
+هناك destruction لا تشهر كما تشاهدون في الاخيرة
+
+164
+00:12:52,310 --> 00:12:57,650
+الانتجار المينو سابرسانترابي أو مينو سابرسانترابي
+
+165
+00:12:57,650 --> 00:13:06,710
+يمكن أن يتأخذ الاتجار الانتجار الانتجار الانتجار
+
+166
+00:13:06,710 --> 00:13:09,790
+الانتجار الانتجار الانتجار الانتجار الانتجار
+
+167
+00:13:09,790 --> 00:13:11,090
+الانتجار الانتجار الانتجار الانتجار الانتجار
+
+168
+00:13:11,090 --> 00:13:15,600
+الانتجار الانتجار الانتجاربعد أشهر
+
+169
+00:13:15,600 --> 00:13:23,200
+طويلة و مرات سنوات طويلة لإنشاء
+
+170
+00:13:23,200 --> 00:13:25,520
+عملية عملية عملية عملية عملية عملية عملية عملية
+
+171
+00:13:25,520 --> 00:13:26,020
+عملية عملية عملية عملية عملية عملية عملية عملية
+
+172
+00:13:26,020 --> 00:13:29,640
+عملية عملية عملية عملية عملية عملية
+
+173
+00:13:29,640 --> 00:13:32,380
+عملية عملية عملية عملية عملية عملية عملية عملية
+
+174
+00:13:32,380 --> 00:13:42,120
+عملية عملية عملية عمل
+
+175
+00:13:42,270 --> 00:13:45,750
+is characterized by slow progressive loss of
+
+176
+00:13:45,750 --> 00:13:49,070
+function يعني في الآخر بيصير فيه infarct in the
+
+177
+00:13:49,070 --> 00:13:54,630
+organ role
+
+178
+00:13:54,630 --> 00:13:57,750
+of MRC molecule انقل له graft reduction خلينا
+
+179
+00:13:57,750 --> 00:14:06,570
+نتعرف شوية على الميكانيزمات قالوا شو
+
+180
+00:14:06,570 --> 00:14:09,070
+بيبصير؟ قالوا transplantation
+
+181
+00:14:10,990 --> 00:14:16,150
+انتجن او MHC انتجن بيصير لها rejection لأن الجهاز
+
+182
+00:14:16,150 --> 00:14:21,090
+اللي منها اتنشط و ال MHC molecule has been
+
+183
+00:14:21,090 --> 00:14:27,910
+recognized and these are cell surface proteins و
+
+184
+00:14:27,910 --> 00:14:31,570
+كنا بنعرف ان كل خلايا جسم الإنسان على سطحها MHC
+
+185
+00:14:31,570 --> 00:14:35,710
+class واحد molecule بينما MHC class 2 موجودة على
+
+186
+00:14:35,710 --> 00:14:39,140
+ال professional antigen presenting cellوبالتالي
+
+187
+00:14:39,140 --> 00:14:43,260
+الـ immune response is directed will be directed
+
+188
+00:14:43,260 --> 00:14:49,240
+predominantly لمين؟ لل MSG class 1 موليكيول واللي
+
+189
+00:14:49,240 --> 00:14:52,220
+موجودة على كل خلايا جسم الإنسان بما فيها ال
+
+190
+00:14:52,220 --> 00:15:01,230
+grafted tissue الفرن MSG molecule activateعدد هائل
+
+191
+00:15:01,230 --> 00:15:05,470
+من الـ T lymphocyte clone في الـ Recipient ويقدروا
+
+192
+00:15:05,470 --> 00:15:10,190
+عددها لـ 5% من كل الـ T lymphocyte clone الموجودة
+
+193
+00:15:10,190 --> 00:15:15,550
+في جسم الـ Recipient و .. ال .. طبعا ال
+
+194
+00:15:15,550 --> 00:15:24,050
+combination of non-self MSC molecule مع ال ..
+
+195
+00:15:24,050 --> 00:15:29,500
+بيبتايد اللي هو Antigenic peptideهيتفاعلوا مع الـ
+
+196
+00:15:29,500 --> 00:15:33,580
+TCR expressed on many different T-cell clone
+
+197
+00:15:33,580 --> 00:15:39,460
+بتتنشط الـ T-lymphocyte و هتفرزلنا اللي هو الـ
+
+198
+00:15:39,460 --> 00:15:44,800
+cytotoxic أو ال certain cytokine can be secreted
+
+199
+00:15:44,800 --> 00:15:50,380
+من اللي هو CD4 T-cell وهذه بتنشطنا ال cytotoxic T
+
+200
+00:15:50,380 --> 00:15:56,220
+-cell اللي هتبدأ تهاجم ال foreign tissue mechanism
+
+201
+00:15:58,600 --> 00:16:01,880
+of recognition جاله فيها two mechanism of
+
+202
+00:16:01,880 --> 00:16:06,000
+recognition either direct or indirect اللي هو
+
+203
+00:16:06,000 --> 00:16:09,480
+recognition ال direct recognition اللي هو
+
+204
+00:16:09,480 --> 00:16:10,660
+recognition اللي هو recognition اللي هو
+
+205
+00:16:10,660 --> 00:16:11,240
+recognition ال direct recognition اللي هو
+
+206
+00:16:11,240 --> 00:16:12,280
+recognition ال direct recognition اللي هو
+
+207
+00:16:12,280 --> 00:16:12,780
+recognition ال direct recognition اللي هو
+
+208
+00:16:12,780 --> 00:16:12,980
+recognition ال direct recognition اللي هو
+
+209
+00:16:12,980 --> 00:16:13,340
+recognition ال direct recognition اللي هو
+
+210
+00:16:13,340 --> 00:16:17,100
+recognition ال direct recognition اللي هو
+
+211
+00:16:17,100 --> 00:16:18,200
+recognition ال direct recognition اللي هو
+
+212
+00:16:18,200 --> 00:16:18,360
+recognition ال direct recognition اللي هو
+
+213
+00:16:18,360 --> 00:16:19,420
+recognition ال direct recognition اللي هو
+
+214
+00:16:19,420 --> 00:16:19,660
+recognition اللي هو recognition اللي هو
+
+215
+00:16:19,660 --> 00:16:24,540
+recognition اللي
+
+216
+00:16:25,460 --> 00:16:28,960
+و ال donor cell في هذه الحالة بتلعب دور كبير ك
+
+217
+00:16:28,960 --> 00:16:33,760
+antigen presenting cell يعني دخلت خلايا غريبة على
+
+218
+00:16:33,760 --> 00:16:40,340
+سطحها أمشي غريب هي نفسها اتعرفت عليها telephosite
+
+219
+00:16:40,340 --> 00:16:44,990
+of the hostو اعتبرتها antigen presenting cell
+
+220
+00:16:44,990 --> 00:16:55,650
+وتعرفت على ال foreign antigen ال indirect بطريقة
+
+221
+00:16:55,650 --> 00:17:02,270
+اندرتها بطريقة
+
+222
+00:17:02,270 --> 00:17:05,270
+اندرتها بطريقة اندرتها بطريقة اندرتها بطريقة
+
+223
+00:17:05,270 --> 00:17:06,030
+اندرتها بطريقة اندرتها بطريقة اندرتها بطريقة
+
+224
+00:17:06,030 --> 00:17:06,050
+اندرتها بطريقة اندرتها بطريقة اندرتها بطريقة
+
+225
+00:17:06,050 --> 00:17:09,150
+اندرتها بطريقة اندرتها بطريقة اندرتها بطريقة ان
+
+226
+00:17:09,420 --> 00:17:16,040
+بتعمل بتاع ال host cell يعني host cell بتاع ال
+
+227
+00:17:16,040 --> 00:17:23,760
+host بتتعرف على ال donor antigen وبتاخده وبتعمله
+
+228
+00:17:23,760 --> 00:17:28,780
+processing وبتقدم لها ال host cell يبقى حالتين
+
+229
+00:17:28,780 --> 00:17:33,680
+direct و indirect ال direct donor cell هي نفسها
+
+230
+00:17:33,680 --> 00:17:37,400
+بتعتبر ك antigen presenting cell بتقدم ال antigen
+
+231
+00:17:37,400 --> 00:17:41,710
+لها ال hostاللي هو Recipient T-Lymphocytes
+
+232
+00:17:41,710 --> 00:17:44,110
+وبالتالي اللي بيصير فيه Recognition Direct
+
+233
+00:17:44,110 --> 00:17:49,730
+Recognition و Indirect انه الله ال tissue The
+
+234
+00:17:49,730 --> 00:17:55,010
+grafted tissue or donor derived cellular peptide
+
+235
+00:17:55,010 --> 00:17:59,910
+اللي طالع من الpeptide هي نفسها بتتعرف عليها اللي
+
+236
+00:17:59,910 --> 00:18:02,290
+هو host antigen presenting cell أو ال recipient
+
+237
+00:18:02,290 --> 00:18:08,190
+وبتقدمها لل T-Lymphocyte تحت ال recipient أكتروهذه
+
+238
+00:18:08,190 --> 00:18:14,770
+هما الطريقتين ايه في ال direct نفس الخلية هذا هي
+
+239
+00:18:14,770 --> 00:18:17,530
+donor antigen presenting cell قدمت ال antigen
+
+240
+00:18:17,530 --> 00:18:22,770
+مباشرة لمن؟ ل T lymphocyte وفي ال indirect لأ
+
+241
+00:18:22,770 --> 00:18:26,090
+والله هنا ال recipient antigen presenting cell
+
+242
+00:18:26,090 --> 00:18:29,410
+تعرفت على ال antigen أخدته وعملت له processing
+
+243
+00:18:29,410 --> 00:18:32,590
+وقدمته لمن؟ لل host cell
+
+244
+00:18:38,100 --> 00:18:44,600
+ماذا حصل بعد اكتفاش تلينفوسيت لينج والسايتوكين
+
+245
+00:18:44,600 --> 00:18:49,000
+بتطلع منها في الالو جرافت ريجيكشن قالوا اكتفاش
+
+246
+00:18:49,000 --> 00:18:57,840
+تسيل بنشتلاللي هو Allo-specific CD4 و CD8-cell
+
+247
+00:18:57,840 --> 00:19:04,920
+الجمانية النشط هو CD4 و CD8 تيلينفوسايت اوف اللي
+
+248
+00:19:04,920 --> 00:19:08,420
+هو Allo
+
+249
+00:19:15,430 --> 00:19:19,870
+أشهر الـ cytokine بتطلع عيلة و interferon alpha و
+
+250
+00:19:19,870 --> 00:19:24,690
+beta و gamma و human necrosis factor alpha و beta
+
+251
+00:19:24,690 --> 00:19:31,200
+وشوفوا دور كل واحد منهم الآنجالو IL-2 هو عبارة عن
+
+252
+00:19:31,200 --> 00:19:34,620
+سايتو كائن مهم in T-cell proliferation and
+
+253
+00:19:34,620 --> 00:19:38,180
+differentiation لمين بيعمل differentiation و
+
+254
+00:19:38,180 --> 00:19:41,920
+proliferation لـ cytotoxic و لـ T-Helper cell يعني
+
+255
+00:19:41,920 --> 00:19:45,400
+بتتنشط T-Helper cell اللي بتنشط ال cytotoxic T
+
+256
+00:19:45,400 --> 00:19:50,620
+-lymphocytes وبالتالي كمان delayed type
+
+257
+00:19:50,620 --> 00:19:53,580
+hypersensitivity reaction is associated with
+
+258
+00:19:53,580 --> 00:19:54,440
+allergic reaction
+
+259
+00:19:56,980 --> 00:20:01,480
+مية المية تهي البرسيل تتنشط لأنه اتقدم اتعرفت على
+
+260
+00:20:01,480 --> 00:20:05,120
+انتجين غريب وبالتالي نشطات الناس هيتو توكسيك تهي
+
+261
+00:20:05,120 --> 00:20:08,840
+الانفسايد وعملت delay type of sensitivity reaction
+
+262
+00:20:08,840 --> 00:20:14,680
+اللي قدت الى the graft rejection طيب هذا بالنسبة
+
+263
+00:20:14,680 --> 00:20:18,480
+لآيالته جامع انترفيرون شو بيعمل؟ بيقولوا مهم جدا
+
+264
+00:20:18,480 --> 00:20:22,870
+in activation macrophageوبالتالي شو بتعمل؟ جاري
+
+265
+00:20:22,870 --> 00:20:26,070
+المكروفيش بتهاجر، it's recruited، it's migrated
+
+266
+00:20:26,070 --> 00:20:30,070
+لمين؟ to the grafted area و هناك بتعمل tissue
+
+267
+00:20:30,070 --> 00:20:35,750
+damage ال tumor recross factor بيتا، هذا عبارة عن
+
+268
+00:20:35,750 --> 00:20:41,450
+cytotoxic to the cells، اي cells اللي موجودة في ال
+
+269
+00:20:41,450 --> 00:20:48,120
+graftالان الانترفيرون Alpha وBeta وTumor Necrosis
+
+270
+00:20:48,120 --> 00:20:52,340
+Factor Beta وTumor Necrosis Factor Alpha هدول مش
+
+271
+00:20:52,340 --> 00:20:54,760
+بيعملوا بيزودوا ال expression of MFC Class I
+
+272
+00:20:54,760 --> 00:20:58,860
+مليكيول بينما الجامعة انترفيرون بتزود ال
+
+273
+00:20:58,860 --> 00:21:04,840
+expression of Class II مليكيول وين على سطح الهوصل
+
+274
+00:21:04,840 --> 00:21:09,690
+وعلى سطح الاليوجرافتوشو بتعمل بذال ال expression
+
+275
+00:21:09,690 --> 00:21:14,090
+of MHC molecule زاد معناته ال effectiveness of
+
+276
+00:21:14,090 --> 00:21:18,050
+antigen recognition و ال enhancement of the graft
+
+277
+00:21:18,050 --> 00:21:22,370
+rejection will be increased طبعا تعتمد على ال
+
+278
+00:21:22,370 --> 00:21:25,150
+micro environment في ال peripheral lymphoid organs
+
+279
+00:21:25,150 --> 00:21:31,170
+يعني ال CD4 helper CD4 T cell can differentiate
+
+280
+00:21:31,170 --> 00:21:36,350
+into different types of effector cellوطبعا تدينا
+
+281
+00:21:36,350 --> 00:21:41,710
+different types of immune responses فتشوفوا إيش
+
+282
+00:21:41,710 --> 00:21:47,110
+بصير كانوا في وجود IL-12 اللي بتتنشط ديه البر واحد
+
+283
+00:21:47,110 --> 00:21:52,970
+وهذه حصلتها إفراز Gamma Interferon اللي بتنشط انها
+
+284
+00:21:52,970 --> 00:21:57,790
+Macrophage وبتكون ال delayed type hypersensitivity
+
+285
+00:21:57,790 --> 00:22:04,940
+وفي وجود IL-4 دي البرتوكي اللي بتتنشط وبتطلعالـ IL
+
+286
+00:22:04,940 --> 00:22:11,060
+-5 اللي بنشط النائزينوفيليك يعني population وبيعمل
+
+287
+00:22:11,060 --> 00:22:15,560
+rejection وفي وجود الـ Transforming Growth Factor
+
+288
+00:22:15,560 --> 00:22:24,240
+Beta IL-6 و IL-23 هم اللي بيطلعوا قالوا الـ T4-17
+
+289
+00:22:24,240 --> 00:22:29,400
+هي اللي بتتنشط و can activate neutrophilic
+
+290
+00:22:29,400 --> 00:22:32,900
+rejection أما في وجود الـ Transforming Growth
+
+291
+00:22:32,900 --> 00:22:40,620
+Factor Beta لحالهT-rig هي اللي بتتنشط وبتعمل
+
+292
+00:22:40,620 --> 00:22:43,600
+انهيبش لكل ال immune response activity وبالتالي
+
+293
+00:22:43,600 --> 00:22:49,320
+بيصير فيه promotion لل Allograft acceptance by
+
+294
+00:22:49,320 --> 00:22:52,600
+multiple mechanism مش rejection بتعمل إيهاش
+
+295
+00:22:52,600 --> 00:22:56,420
+acceptance يبقى فيه different إيهاش different
+
+296
+00:22:56,420 --> 00:23:00,420
+immune response بتصير according to the different
+
+297
+00:23:00,420 --> 00:23:07,150
+environmentPresence في منطقة الاش ال rejection و
+
+298
+00:23:07,150 --> 00:23:14,150
+كما تشاهدون نفس الفيجورة التي تواحقناها I L 12
+
+299
+00:23:14,150 --> 00:23:21,090
+نشطت لنا I L 12 نشطت لنا البر واحد اللي طلعت جامعة
+
+300
+00:23:21,090 --> 00:23:26,270
+انترفيلو نشطت مكروفيش I L 4 في وجود I L 4 البرتوت
+
+301
+00:23:26,270 --> 00:23:27,970
+نشطت وطلعت I L 5
+
+302
+00:23:36,530 --> 00:23:40,830
+بتنشط تيهيلبر 17 بتطلع نهائي ال 17 وبيعمل
+
+303
+00:23:40,830 --> 00:23:47,270
+نيوترافليك ريجيكشن وتنشط
+
+304
+00:23:47,270 --> 00:23:48,570
+تيهيلبر 13 تنشط تيهيلبر 13 تنشط تيهيلبر 13 تنشط
+
+305
+00:23:48,570 --> 00:23:50,250
+تيهيلبر 13 تنشط تيهيلبر 13 تنشط تيهيلبر 13 تنشط
+
+306
+00:23:50,250 --> 00:23:52,210
+تيهيلبر 13 تنشط تيهيلبر 13 تنشط تيهيلبر 13 تنشط
+
+307
+00:23:52,210 --> 00:23:52,670
+تيهيلبر 13 تنشط تيهيلبر 13 تنشط تيهيلبر 13 تنشط
+
+308
+00:23:52,670 --> 00:23:57,570
+تيهيلبر 13 تنشط تيهيلبر 13 تنشط تيهيلبر 13 تنشط ت
+
+309
+00:24:01,280 --> 00:24:09,100
+ما هي الفعوصات التي تجرر لـ Tissue Typing؟ يتعرف
+
+310
+00:24:09,100 --> 00:24:13,180
+على الـ MHC موليكيول على سطح الدونار مجموعة مقاومة
+
+311
+00:24:13,180 --> 00:24:17,760
+أو ما يسمى بالـ cross-matching هي تفعلها لتخلص من
+
+312
+00:24:17,760 --> 00:24:20,620
+فرصة الـ graft rejection يسمون هذه الحكاية
+
+313
+00:24:20,620 --> 00:24:27,700
+Minophenotyping أو Phenotyping Tissue Typing تتجرر
+
+314
+00:24:27,700 --> 00:24:35,570
+لتحديث الـهذه التحديدات بتحديد درجة الفرنس بين
+
+315
+00:24:35,570 --> 00:24:39,050
+الاثنين الاثنين اثنين اثنين اثنين اثنين اثنين
+
+316
+00:24:39,050 --> 00:24:40,590
+اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين
+
+317
+00:24:40,590 --> 00:24:41,510
+اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين
+
+318
+00:24:41,510 --> 00:24:41,770
+اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين
+
+319
+00:24:41,770 --> 00:24:48,650
+اثنين اثنين اثنين اثنين اثنين اثنين اثنين
+
+320
+00:24:48,650 --> 00:24:56,550
+اثنين اثنين اثنين اثنين اثن
+
+321
+00:24:56,900 --> 00:25:01,580
+و تبدأ تحديد
+
+322
+00:25:01,580 --> 00:25:06,800
+الانتجين الموجود على الخلايا الـ positive reaction
+
+323
+00:25:06,800 --> 00:25:10,880
+حيكون في موجود ال HLA-A واللي ماصارش فيها reaction
+
+324
+00:25:10,880 --> 00:25:15,580
+حيكون فيه negative للـ HLA-A طبعا ال antisera ممكن
+
+325
+00:25:15,580 --> 00:25:21,250
+تجيبها من أكتر من مكانمن ضمنها الاشخاص اللي كان
+
+326
+00:25:21,250 --> 00:25:27,190
+لديه مرتبطات مرتبطات كثيرة
+
+327
+00:25:27,190 --> 00:25:30,870
+او مرتبطات او مرتبطات او مرتبطات او مرتبطات او
+
+328
+00:25:30,870 --> 00:25:30,930
+مرتبطات او مرتبطات او مرتبطات او مرتبطات او
+
+329
+00:25:30,930 --> 00:25:32,110
+مرتبطات او مرتبطات او مرتبطات او مرتبطات او
+
+330
+00:25:32,110 --> 00:25:34,910
+مرتبطات او مرتبطات او مرتبطات او مرتبطات او
+
+331
+00:25:34,910 --> 00:25:38,350
+مرتبطات او مرتبطات او مرتبطات او مرتبطات او
+
+332
+00:25:38,350 --> 00:25:39,950
+مرتبطات او مرتبطات او مرتبطات او مرتبطات ا
+
+333
+00:25:47,330 --> 00:25:51,970
+can be used for this purpose إذا بدك إياه
+
+334
+00:25:51,970 --> 00:25:56,610
+automated يعني أو بدك إياه quantitative
+
+335
+00:25:56,610 --> 00:26:01,870
+lymphocytic toxicity هو عبارة عن فحص تاني أيضا
+
+336
+00:26:01,870 --> 00:26:05,830
+مستخدم فيه antibody specific MHC molecule antibody
+
+337
+00:26:05,830 --> 00:26:12,210
+في وجود ال complement طبعا complement مع antibody
+
+338
+00:26:12,210 --> 00:26:18,760
+ال antibody will fix the complementوبالتالي هيعمل
+
+339
+00:26:18,760 --> 00:26:22,580
+damage لل target cell which are في هذه الحالة ال
+
+340
+00:26:22,580 --> 00:26:28,360
+lymphocytes فإذا حصل فيه damage بدو يكون فيه
+
+341
+00:26:28,360 --> 00:26:31,340
+reaction ماحصلش فيه damage بدو يكون فيه reaction
+
+342
+00:26:31,340 --> 00:26:36,000
+ماشي؟ اللي شو اللي بيصير ان ال lymphocyte of donor
+
+343
+00:26:36,000 --> 00:26:40,180
+and recipient هم اللي نفسهم بنعملهم مع panel of
+
+344
+00:26:40,180 --> 00:26:44,720
+antibody فيه دول اللي هو يعيش اللي هو ال
+
+345
+00:26:44,720 --> 00:26:45,500
+complement
+
+346
+00:26:49,160 --> 00:26:53,120
+زي ما قلت ال code كوملة ما هتحطيهاش و هتنشط لنا
+
+347
+00:26:53,120 --> 00:26:58,800
+اللي هو هتتنشط لأنه في وجود antibody هي بسلع نشاط
+
+348
+00:26:58,800 --> 00:27:01,980
+و بتكون لها ال memory نقطة complex that will
+
+349
+00:27:01,980 --> 00:27:05,300
+damage ال target cell وبالتالي إذا صار damaged
+
+350
+00:27:05,300 --> 00:27:08,400
+المعنى تغطى طبعا كنا نعرف إنه صار damaged و لو
+
+351
+00:27:08,400 --> 00:27:12,060
+ماصارش damaged نسموه الخلايا اللي بتاخد الصبغة
+
+352
+00:27:12,060 --> 00:27:15,020
+بتكون حية و اللي ما بتاخد الصبغة بتكون ميتة
+
+353
+00:27:20,200 --> 00:27:28,400
+الاسلوب الآخر أو ال area الأخرى اللى بنفحص
+
+354
+00:27:28,400 --> 00:27:31,320
+فيها ال MSC molecule هو by using molecular
+
+355
+00:27:31,320 --> 00:27:39,820
+technique and PCR is في مصرمعتقدته mixed leukocyte
+
+356
+00:27:39,820 --> 00:27:46,260
+reaction ماهي اللي بيصير جاله بنحط ال leukocyte of
+
+357
+00:27:46,260 --> 00:27:49,600
+ال donor و ال recipient مع بعض و بنعملهم culture
+
+358
+00:27:49,600 --> 00:27:54,920
+for several days طبعا ال donor T cell respond to
+
+359
+00:27:54,920 --> 00:27:59,540
+اللو MHC مليكيول تتنشط او expressed on the
+
+360
+00:27:59,540 --> 00:27:59,940
+recipient
+
+361
+00:28:04,920 --> 00:28:08,400
+سيتفرذ السيتوكاين وسيقوم السيتوكاين بإدخال الـ
+
+362
+00:28:08,400 --> 00:28:15,060
+proliferation القياس للـ proliferation هو من يحدد
+
+363
+00:28:15,060 --> 00:28:21,460
+طبعا إذا كان فيه reaction positive أو reaction
+
+364
+00:28:21,460 --> 00:28:24,140
+negative ويمكن أن يتم مجرده بسهولة من خلال تسجيل
+
+365
+00:28:24,140 --> 00:28:26,880
+الراديو إلى مجال التعليم
+
+366
+00:28:30,400 --> 00:28:34,840
+طبعا هنا حالات of mixed lymphocyte reaction
+
+367
+00:28:34,840 --> 00:28:38,060
+associated with different transplantation
+
+368
+00:28:38,060 --> 00:28:42,700
+situation طبعا مجموعة مختلفة واش بيصير في كل حالة
+
+369
+00:28:43,270 --> 00:28:47,870
+وطبعا زي ما انتوا شايفين مثال الاول tissue between
+
+370
+00:28:47,870 --> 00:28:52,570
+identical twins العلاقة they are syngenic عملنا
+
+371
+00:28:52,570 --> 00:28:55,830
+لهم اشي قالوا لأ no treatment for the cells
+
+372
+00:28:55,830 --> 00:29:00,570
+وبالتالي ال mix lymphocyte reaction will be
+
+373
+00:29:00,570 --> 00:29:05,290
+negative مافيش تفاعل يعني no proliferation ماشي
+
+374
+00:29:05,290 --> 00:29:09,650
+فالتاني نفس الحكاية tissue between non related
+
+375
+00:29:09,650 --> 00:29:13,380
+donor and recipientمعناه لا شيء لكن فيه reaction
+
+376
+00:29:13,380 --> 00:29:18,600
+لماذا؟ لأنه صار فيه recognition لforeign MHC
+
+377
+00:29:18,600 --> 00:29:22,740
+molecule من خلال host أو donor cell وبالتالي صار
+
+378
+00:29:22,740 --> 00:29:27,940
+فيه proliferative capacity التالت tissue between
+
+379
+00:29:27,940 --> 00:29:32,920
+unrelated donor and recipient شو عملوا؟ قالوا طبعا
+
+380
+00:29:32,920 --> 00:29:36,860
+actually is different وبالتالي بتعتبر ألوجينيك طب
+
+381
+00:29:36,860 --> 00:29:44,070
+إيه شو عملوا؟ قالوا donor cellعاملوها ماشي mitotic
+
+382
+00:29:44,070 --> 00:29:50,630
+inhibitor يعني سكتوها يعني بداش ياكيش تتنشطي
+
+383
+00:29:50,630 --> 00:29:54,930
+طب هاش مجبوض هاش بيعني بيبقى يعني لإنه نستخدم ال
+
+384
+00:29:54,930 --> 00:29:57,750
+antigen تبعها طب مين اللي بده يتنشط دلوقت ال
+
+385
+00:29:57,750 --> 00:30:00,670
+recipient cell هي اللي هتتنشط في هذه الحالة
+
+386
+00:30:00,670 --> 00:30:05,350
+فبالتالي هو one way mixed lymphocyte reactionمن
+
+387
+00:30:05,350 --> 00:30:09,510
+اتنشط في هذه الحالة ال donor cell او ال recipient
+
+388
+00:30:09,510 --> 00:30:16,270
+cell طبعا في الحالة الرقم 4 العكس صحيح احنا وقفنا
+
+389
+00:30:16,270 --> 00:30:20,290
+ال recipient cell ونشطنا ال donor cell
+
+390
+00:30:20,290 --> 00:30:23,390
+prolongation
+
+391
+00:30:23,390 --> 00:30:28,190
+of allograft survival can be achieved by
+
+392
+00:30:28,190 --> 00:30:32,790
+immunosuppressive therapyفالـ Immunosuppressive
+
+393
+00:30:32,790 --> 00:30:36,590
+Therapy ماذا بتعمل؟ جالو تطور الاسم الاسم الاسم
+
+394
+00:30:36,590 --> 00:30:38,150
+الاسم الاسم الاسم الاسم الاسم الاسم الاسم الاسم
+
+395
+00:30:38,150 --> 00:30:39,270
+الاسم الاسم الاسم الاسم الاسم الاسم الاسم الاسم
+
+396
+00:30:39,270 --> 00:30:40,750
+الاسم الاسم الاسم الاسم الاسم الاسم الاسم الاسم
+
+397
+00:30:40,750 --> 00:30:42,630
+الاسم الاسم الاسم الاسم الاسم الاسم الاسم الاسم
+
+398
+00:30:42,630 --> 00:30:43,610
+الاسم الاسم الاسم الاسم الاسم الاسم الاسم الاسم
+
+399
+00:30:43,610 --> 00:30:43,850
+الاسم الاسم الاسم الاسم الاسم الاسم الاسم الاسم
+
+400
+00:30:43,850 --> 00:30:49,590
+الاسم الاسم الاسم الاسم الاسم
+
+401
+00:30:49,590 --> 00:30:56,990
+الاسم الاسم
+
+402
+00:30:56,990 --> 00:31:00,990
+الجاله عبارة عن combination of synergistic
+
+403
+00:31:00,990 --> 00:31:07,190
+immunosuppressive drug تنين تنين بتساعده شو
+
+404
+00:31:07,190 --> 00:31:09,750
+بيعملوا؟ جالو they interfere with the immune
+
+405
+00:31:09,750 --> 00:31:14,550
+response mechanism زي ايش؟ زي ال T cell activation
+
+406
+00:31:14,550 --> 00:31:22,750
+drug doses are lower than the induction therapy زي
+
+407
+00:31:22,750 --> 00:31:27,290
+اقل من اللي فوقلتسمح لشركة الانتجار الاساسي لتعمل
+
+408
+00:31:27,290 --> 00:31:30,910
+على مستوى عالي وبالتالي تقلل الانسدانس للإنفاقات
+
+409
+00:31:30,910 --> 00:31:35,910
+الوارتشونيستيكية ماشي بقى في حاجة اسمها induction
+
+410
+00:31:35,910 --> 00:31:38,790
+therapy وفي حاجة اسمها maintenance therapy ال
+
+411
+00:31:38,790 --> 00:31:41,330
+induction therapy بتبقى تجارب ال transplantation
+
+412
+00:31:41,330 --> 00:31:46,870
+فترة ال maintenance therapy two drugs or more they
+
+413
+00:31:46,870 --> 00:31:50,470
+are synergistic امينو سابرس ال drug الاتنين
+
+414
+00:31:50,470 --> 00:31:54,800
+بيشتغلوا على التيليفوسايت بيقللوا او بيبطؤواهي
+
+415
+00:31:54,800 --> 00:32:01,620
+تخلص تجارب الإيميون وبالتالي تقلل تجارب الإنفكشن
+
+416
+00:32:01,620 --> 00:32:10,620
+في بعض الحالات
+
+417
+00:32:10,620 --> 00:32:16,440
+يتم إعطاء تجارب تجارب تجارب تجارب تجارب تجارب
+
+418
+00:32:16,440 --> 00:32:18,840
+تجارب تجارب تجارب تجارب تجارب تجارب تجارب تجارب
+
+419
+00:32:18,840 --> 00:32:18,900
+تجارب تجارب تجارب تجارب تجارب تجارب تجارب تجارب
+
+420
+00:32:18,900 --> 00:32:18,980
+تجارب تجارب تجارب تجارب تجارب تجارب تجارب تجارب
+
+421
+00:32:18,980 --> 00:32:21,510
+تجارب تجارب تجارب تجارب تجارب تجارب تجالتي تستخدم
+
+422
+00:32:21,510 --> 00:32:25,510
+في مستوى مشابه للذلك في مستوى الاندوكشن ثيرابي
+
+423
+00:32:25,510 --> 00:32:30,830
+منها على سبيل المثال الكورتيكوستيرويد انتي
+
+424
+00:32:30,830 --> 00:32:35,610
+انفلاماتوري اي جنس او مثال على ذلك كورتيكوستيرويد
+
+425
+00:32:35,610 --> 00:32:41,110
+او بردنزولون او مثال بردنزولون كل عبارة عن اسماء
+
+426
+00:32:41,110 --> 00:32:46,590
+لنفس المركبماذا فعل الكورتيكوستيرويدز؟ قالوا انه
+
+427
+00:32:46,590 --> 00:32:49,210
+سيقوم بتحريك الهوارانيمينو سابريس الهوارانيمينو
+
+428
+00:32:49,210 --> 00:32:56,290
+سابريس الهوارانيمينو
+
+429
+00:32:59,020 --> 00:33:02,340
+الجينات هذه بتشترك انها تقوم بتشترك انفلاماتوري
+
+430
+00:33:02,340 --> 00:33:07,680
+سايتوكاين منها ال I L 1 و 2 و 3 و 4 و 5 و 8 Human
+
+431
+00:33:07,680 --> 00:33:14,080
+Necrosis Factor Alpha GM CSF بنوقف الجينات اللي
+
+432
+00:33:14,080 --> 00:33:19,820
+بتعمل expression for the cytokine وبالتالي it's an
+
+433
+00:33:19,820 --> 00:33:22,780
+immunosuppressive
+
+434
+00:33:24,090 --> 00:33:26,910
+ماذا يفعل أيضًا؟ قال إن الكورتيكوستيرويد أيضًا
+
+435
+00:33:26,910 --> 00:33:30,330
+يمكن انهيبط إظهار موليكولات الادهيجيا. طب وإيش
+
+436
+00:33:30,330 --> 00:33:33,830
+يعني لما نعمل إظهار موليكولات الادهيجيا؟ قال إنه
+
+437
+00:33:33,830 --> 00:33:39,010
+سينهيبط تحويل الليكوسيت. أين بتروح الليكوسيت؟ إلى
+
+438
+00:33:39,010 --> 00:33:42,430
+موقع الانفكاش أو الانفلامش. وبالتالي
+
+439
+00:33:42,430 --> 00:33:49,470
+الكورتيكوستيرويد ينهيبط عملية تحويل الليكوسيت. طيب
+
+440
+00:33:49,470 --> 00:33:52,370
+إيش كمان بتعمل؟ قال إنهم يدعموا إطلاق سلر
+
+441
+00:33:52,370 --> 00:33:56,540
+الاندونيكليازي.وهذا بيؤدي الى induction of
+
+442
+00:33:56,540 --> 00:34:01,520
+apoptosis في ال limphocyte والإيزينوفيل يعني ال
+
+443
+00:34:01,520 --> 00:34:03,940
+limphocyte والإيزينوفيل اللي بدهم يعملوا immune
+
+444
+00:34:03,940 --> 00:34:08,580
+response بيقولوا هو سكتروا in addition they
+
+445
+00:34:08,580 --> 00:34:11,840
+reduced phagocytosis طب أنا فوج عملت inhibition ل
+
+446
+00:34:11,840 --> 00:34:16,220
+ليكوسايت migration وبالتالي I reduced the
+
+447
+00:34:16,220 --> 00:34:18,560
+phagocytosis and killing by neutrophil and
+
+448
+00:34:18,560 --> 00:34:22,000
+macrophages and reduced expression of MSC class 2
+
+449
+00:34:22,000 --> 00:34:27,320
+moleculeبهذه الطريقة كورتيكوستيرويد نهيب الـ T
+
+450
+00:34:27,320 --> 00:34:32,180
+-cell activation و تعمل تعمل تعمل تعمل تعمل تعمل
+
+451
+00:34:32,180 --> 00:34:34,820
+تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل
+
+452
+00:34:34,820 --> 00:34:35,260
+تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل
+
+453
+00:34:35,260 --> 00:34:36,340
+تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل
+
+454
+00:34:36,340 --> 00:34:39,180
+تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل
+
+455
+00:34:53,710 --> 00:34:58,890
+وبعمل انهيبشين انوسينك
+
+456
+00:34:58,890 --> 00:35:17,130
+اسد انهيبشين
+
+457
+00:35:17,130 --> 00:35:22,910
+انوسينك اسد انهيبشين انهيبشين انهيبشين انهيبشين
+
+458
+00:35:22,910 --> 00:35:22,970
+انهيبشين انهيبشين انهيبشين انهيبشين انهيبشين
+
+459
+00:35:22,970 --> 00:35:23,550
+انهيبشين انهيبشين انهيبشين انهيبشين انهيبشين
+
+460
+00:35:23,550 --> 00:35:23,570
+انهيبشين انهيبشين انهيبشين انهيبشين انهيبشين
+
+461
+00:35:23,570 --> 00:35:27,530
+انهيبشين انهيبشين انهيبشين انof Purine Clorampucil
+
+462
+00:35:27,530 --> 00:35:33,650
+and cyclophosphamide الكليت DNA هذوله عبارة عن
+
+463
+00:35:33,650 --> 00:35:37,370
+cytotoxic drug تنين تانين وبرضه مشهورين في
+
+464
+00:35:37,370 --> 00:35:40,910
+الاستخدام شو بيعملوا؟ بيعملوا الكليتشن ل DNA
+
+465
+00:35:40,910 --> 00:35:48,600
+وبالتالي بيتدخلوا في ال metabolism of DNAكانت
+
+466
+00:35:48,600 --> 00:35:52,400
+تتطور أولاً لتعامل بالكانسر في الأساس عبارة عن
+
+467
+00:35:52,400 --> 00:35:57,920
+كيموثيرابي و هم أيضاً صيدوتكسيك للمفوسايد و
+
+468
+00:35:57,920 --> 00:36:03,320
+بيستخدمهم كميونو سبريسيب ايجانت من ما اعتبرت
+
+469
+00:36:03,320 --> 00:36:08,400
+ايجانت تتعامل مع صيدوتكسيكاين production و
+
+470
+00:36:08,400 --> 00:36:14,220
+signaling منها سايكلوسبورين و التاكرو
+
+471
+00:36:17,530 --> 00:36:20,410
+ماذا يفعل؟ يفعل انه يتعامل بالـ Calcium Urine
+
+472
+00:36:20,410 --> 00:36:27,890
+برتبته بالـ Immunophilins بيه وهو عبارة عن family
+
+473
+00:36:27,890 --> 00:36:31,210
+of intracellular protein تلعب دور كبير في الـ
+
+474
+00:36:31,210 --> 00:36:35,490
+lymphocyte signaling pathway وبالتالي بتعمل Signal
+
+475
+00:36:35,490 --> 00:36:41,990
+Transduction Pathway Inhibition ماشي وإذا ما صارش
+
+476
+00:36:41,990 --> 00:36:46,290
+فيه Signal Transduction مافيش functionبالإضافة لأن
+
+477
+00:36:46,290 --> 00:36:50,590
+الـ Cyclosporin تدفع معرفة تغيير الوضع بيطا وده
+
+478
+00:36:50,590 --> 00:36:54,850
+عبارة عن انهيبوتوريه سايتوكاينو Cyclosporin أيضًا
+
+479
+00:36:54,850 --> 00:37:02,270
+هو مفيد عندما يتم تدفعه قبل التدفع لكنه غير مفيد
+
+480
+00:37:02,270 --> 00:37:06,850
+في إغلاق إتجار مستمر يعني إذا إتجار شغال، إيه
+
+481
+00:37:06,850 --> 00:37:12,690
+بيقولته؟ Cyclosporin بيعتبر نفروتوكسيك وبالتالي
+
+482
+00:37:12,690 --> 00:37:17,520
+بيزيد ال risk of cancerwhen administered for long
+
+483
+00:37:17,520 --> 00:37:22,960
+term يعني إذا اتخذ لفترات طويلة ممكن يعمل يكون
+
+484
+00:37:22,960 --> 00:37:28,340
+tumorigenesis نبر أربع immunosuppressive antibody
+
+485
+00:37:28,340 --> 00:37:31,380
+therapy بيعطوا Anti lymphocyte antibody
+
+486
+00:37:31,380 --> 00:37:36,320
+preparation زي as horse and rabbit anti lymphocyte
+
+487
+00:37:36,320 --> 00:37:45,280
+globulin استخدموهم as immunosuppressive therapyبس
+
+488
+00:37:45,280 --> 00:37:48,480
+للمؤسف ممكن يعملوا serum sickness disease يعني ال
+
+489
+00:37:48,480 --> 00:37:52,420
+complications تبعتهم انه ممكن يصير serum sickness
+
+490
+00:37:52,420 --> 00:37:57,740
+monoclonal antibody and engineered mouse human
+
+491
+00:37:57,740 --> 00:38:02,020
+chimeric antibody او بيسموه humanized antibody
+
+492
+00:38:02,020 --> 00:38:08,220
+استخدموهم زي ال RKT3 which is directed at KSCD3
+
+493
+00:38:08,220 --> 00:38:10,940
+اللي موجود على سطح ال T lymphocytes
+
+494
+00:38:14,360 --> 00:38:21,740
+الـ Zamab وBacillus Zamab هم محدثين لـ IL-2
+
+495
+00:38:21,740 --> 00:38:26,940
+ريسيبتور Alpha-Chain اللي هو CD25 ويعملون إعادة
+
+496
+00:38:26,940 --> 00:38:30,400
+إعادة إعادة إعادة الإعادة الريسيبتور IL-2 على سطح
+
+497
+00:38:30,400 --> 00:38:34,440
+الـ T-Lymphocytes. هؤلاء هم مخلوقات إعادة إعادة
+
+498
+00:38:34,440 --> 00:38:37,860
+إعادة CD3 وإعادة إعادة CD25
+
+499
+00:38:40,900 --> 00:38:45,420
+الـ IL-2 والاكتفاءات
+
+500
+00:38:45,420 --> 00:38:55,940
+التابعة للـ T-cell.لا ننسى أن هناك اقتراحات تتجه
+
+501
+00:38:55,940 --> 00:39:03,420
+إلى الـ T-Helper-17 أو T-Helper-1.والبعض
+
+502
+00:39:03,420 --> 00:39:07,960
+من الـ T-Rig Cell قد يكون مسئولًا لإنقاذ عضوية من
+
+503
+00:39:07,960 --> 00:39:12,410
+الانتجار العضوي.طبعاً ما احنا عارفين في هذه الحالة
+
+504
+00:39:12,410 --> 00:39:16,870
+سواء كان تيربر واحد او تيربر سبنتين اذا كان مشينا
+
+505
+00:39:16,870 --> 00:39:19,950
+في هذه الميكانيزمات واحد نشط نيوتروفيل واحد نشط
+
+506
+00:39:19,950 --> 00:39:23,070
+ماكروفير وبالتالي ممكن يعملوا acute graft
+
+507
+00:39:23,070 --> 00:39:31,550
+rejection بلقوا K-cytokines in vivo أشهرها IL-6
+
+508
+00:39:31,550 --> 00:39:38,730
+هذا ممكن يعمل shifting from تيربر 17تورزج تيرج
+
+509
+00:39:38,730 --> 00:39:47,490
+تورزج
+
+510
+00:39:47,490 --> 00:39:50,470
+تيرج تورزج تيرج تورزج تورزج تورزج تورزج تورزج
+
+511
+00:39:50,470 --> 00:39:50,490
+تورزج تورزج تورزج تورزج تورزج تورزج تورزج تورزج
+
+512
+00:39:50,490 --> 00:39:50,650
+تورزج تورزج تورزج تورزج تورزج تورزج تورزج تورزج
+
+513
+00:39:50,650 --> 00:39:51,910
+تورزج تورزج تورزج تورزج تورزج تورزج تورزج تورزج
+
+514
+00:39:51,910 --> 00:40:00,250
+تورزج تورزج تورزج تورزج تورزج تورزPlucking بيعملوا
+
+515
+00:40:00,250 --> 00:40:05,410
+Plucking للـ IL-6 وهذا بيحول من T لبرسل 17
+
+516
+00:40:05,410 --> 00:40:12,550
+Activity ل T Ring Activity بيجي للتطبيق
+
+517
+00:40:12,550 --> 00:40:17,870
+الهيوغروبوتيك استم سيل Transplantation وهذا
+
+518
+00:40:17,870 --> 00:40:23,430
+بيتكوين من Special Transplantation Situationالتي
+
+519
+00:40:23,430 --> 00:40:27,470
+تتجارب عامة بين مستخدم امينو كومبتان ومستخدم امينو
+
+520
+00:40:27,470 --> 00:40:28,850
+كومبتان ومستخدم امينو كومبتان ومستخدم امينو
+
+521
+00:40:28,850 --> 00:40:30,650
+كومبتان ومستخدم امينو كومبتان ومستخدم امينو
+
+522
+00:40:30,650 --> 00:40:38,170
+كومبتان ومستخدم امينو كومبتان ومستخدم امينو
+
+523
+00:40:38,170 --> 00:40:40,030
+كومبتان ومستخدم امينو كومبتان ومستخدم امينو
+
+524
+00:40:40,030 --> 00:40:40,950
+كومبتان ومستخدم امينو كومبتان ومستخدم امينو
+
+525
+00:40:40,950 --> 00:40:44,690
+كومبتان ومستخدم امينو كومبتان ومستخدم امينو
+
+526
+00:40:44,690 --> 00:40:46,650
+كومبتان ومستخدم امينو كومبتان ومستخ
+
+527
+00:40:49,670 --> 00:40:58,830
+stem cell من ال blood سواء كان blood من اللي هو
+
+528
+00:40:58,830 --> 00:41:06,690
+عينة عادية او
+
+529
+00:41:06,690 --> 00:41:11,110
+المهم ال stem cell بتتاخد hemibiotic stem cell is
+
+530
+00:41:11,110 --> 00:41:14,090
+used to treat a variety of conditions بما فيها
+
+531
+00:41:14,090 --> 00:41:19,640
+skid اللي هوسيوير كومبايند امينوديفشانسي ويسكوت
+
+532
+00:41:19,640 --> 00:41:28,020
+ألدريح سيندروم و الوكيميا المتعاملة بشكل
+
+533
+00:41:28,020 --> 00:41:29,440
+كامل بشكل كامل بشكل كامل بشكل كامل بشكل كامل بشكل
+
+534
+00:41:29,440 --> 00:41:29,720
+كامل بشكل كامل بشكل كامل بشكل كامل بشكل كامل بشكل
+
+535
+00:41:29,720 --> 00:41:29,740
+كامل بشكل كامل بشكل كامل بشكل كامل بشكل كامل بشكل
+
+536
+00:41:29,740 --> 00:41:35,880
+كامل بشكل كامل بشكل كامل بشكل
+
+537
+00:41:35,880 --> 00:41:38,700
+كامل بشكل
+
+538
+00:41:45,720 --> 00:41:48,900
+transplantation is a form of gene therapy وكأن
+
+539
+00:41:48,900 --> 00:41:52,980
+احنا بنغير ال gene ال genetically abnormal blood
+
+540
+00:41:52,980 --> 00:41:56,840
+forming stem cell are replaced by normally
+
+541
+00:41:56,840 --> 00:42:00,620
+functioning cell كل اللي بنعمله انه بنغيره بنا
+
+542
+00:42:00,620 --> 00:42:04,660
+stem cell مريضة ونحط بدلها stem cell سليمة
+
+543
+00:42:04,660 --> 00:42:09,160
+ultimate goal of hemopoietic cell transplantation
+
+544
+00:42:09,160 --> 00:42:15,160
+انه نرجعالـ Bone marrow أو الـ Hemopoies into its
+
+545
+00:42:15,160 --> 00:42:21,360
+normal function اليوم Hemopoietic stem cell give
+
+546
+00:42:21,360 --> 00:42:24,300
+rise to all blood cell lineage زي ما احنا عارفين
+
+547
+00:42:24,300 --> 00:42:28,820
+Small number of these pluripotent cell also
+
+548
+00:42:28,820 --> 00:42:34,660
+circulate in blood فطبعا أثناء هذه العملية GCSF is
+
+549
+00:42:34,660 --> 00:42:38,360
+used عشان نزود ال number of hemopoietic stem cell
+
+550
+00:42:38,360 --> 00:42:45,020
+in both marrow and bloodمقارنة من هذه الجلدات يمكن
+
+551
+00:42:45,020 --> 00:42:52,260
+تجاربها من وجهة CD43-34.جلد سيمجانيكس تيمسيل مرتبط
+
+552
+00:42:52,260 --> 00:42:57,480
+بالخطر الأعلى بسبب مشابهته الجينيكية بين الدونار
+
+553
+00:42:57,480 --> 00:43:01,440
+والرسبيل.Autologous Hemobiotic Cell
+
+554
+00:43:01,440 --> 00:43:06,800
+Transplantation هو تقنيات الحصول على أسلوب من الدم
+
+555
+00:43:06,800 --> 00:43:13,440
+أو المرور وإعادته إلى نفس الشخص طب يعني بناخد من
+
+556
+00:43:13,440 --> 00:43:17,520
+نفس الشخص ونديه طبعا هذا الكلام كيف يصير ناخدها في
+
+557
+00:43:17,520 --> 00:43:24,770
+فترة الصحة ونحوشها له لحين المرضهو عادةً يتعامل
+
+558
+00:43:24,770 --> 00:43:28,910
+بالطبيع بشكل ماليجنسي مثل اللوكيميا الانفوميا
+
+559
+00:43:28,910 --> 00:43:35,470
+والميلوما الهيوبيتك الهيوجينيك الهيوبيتك الهيوبيتك
+
+560
+00:43:35,470 --> 00:43:35,770
+الهيوبيتك الهيوبيتك الهيوبيتك الهيوبيتك الهيوبيتك
+
+561
+00:43:35,770 --> 00:43:36,310
+الهيوبيتك الهيوبيتك الهيوبيتك الهيوبيتك الهيوبيتك
+
+562
+00:43:36,310 --> 00:43:37,090
+الهيوبيتك الهيوبيتك الهيوبيتك الهيوبيتك الهيوبيتك
+
+563
+00:43:37,090 --> 00:43:40,530
+الهيوبيتك الهيوبيتك الهيوبيتك الهيوبيتك الهيوبيتك
+
+564
+00:43:40,530 --> 00:43:49,170
+الهيوبيتك الهيوبيتك
+
+565
+00:43:55,880 --> 00:44:01,140
+بالتالي إذا كنا نحكي على مجموعة أو مجموعة من
+
+566
+00:44:01,140 --> 00:44:06,840
+البلسانتا لو بيسموها الامبلايكال اللي هو blood
+
+567
+00:44:06,840 --> 00:44:14,120
+blood blood blood blood blood blood blood blood
+
+568
+00:44:14,120 --> 00:44:19,120
+blood blood blood blood
+
+569
+00:44:19,120 --> 00:44:19,360
+blood blood blood blood blood blood blood blood
+
+570
+00:44:19,360 --> 00:44:20,080
+blood blood blood blood blood blood blood blood
+
+571
+00:44:35,730 --> 00:44:40,550
+أو الانتجينات اللي دخلت على ال donor cell تعرف
+
+572
+00:44:40,550 --> 00:44:45,990
+عليها ال host cell وعملتها rejection و بيسموه في
+
+573
+00:44:45,990 --> 00:44:51,890
+هذا الحالة ال hostيتنشط ضد الـ graft اللي دخل
+
+574
+00:44:51,890 --> 00:44:56,510
+سموها host vs graft effect او العكس انه اللي ال
+
+575
+00:44:56,510 --> 00:45:00,330
+immune reaction of to the host اما C-antigen بي
+
+576
+00:45:00,330 --> 00:45:04,890
+occur as graft vs host disease نفس ال graft هو
+
+577
+00:45:04,890 --> 00:45:10,150
+اللي اشتغل على اللامن يما ال recipient يكون
+
+578
+00:45:10,150 --> 00:45:14,750
+immunocompetent immunorejection by host T cell is
+
+579
+00:45:14,750 --> 00:45:17,230
+usually prevented by intensive immunosuppression
+
+580
+00:45:17,940 --> 00:45:21,780
+يعني إذا حصل الـ host vs graft disease كل ما نفعله
+
+581
+00:45:21,780 --> 00:45:25,240
+هو نعطيه immunosuppress فبنسكت ال host cell ضد ال
+
+582
+00:45:25,240 --> 00:45:30,620
+donor cell patient with immunodeficiency disease
+
+583
+00:45:30,620 --> 00:45:34,680
+اي skid ما بيحتاجوا ال induction therapy since
+
+584
+00:45:34,680 --> 00:45:39,300
+there is no risk of rejection by host ألا to
+
+585
+00:45:39,300 --> 00:45:42,880
+reduce the risk of graft vs host disease ألا
+
+586
+00:45:42,880 --> 00:45:47,230
+الموضوع التاني المرضي التانيT-cells are eliminated
+
+587
+00:45:47,230 --> 00:45:55,350
+من العينا from donor cell population إما باستخدام
+
+588
+00:45:55,350 --> 00:45:59,670
+مونوكلون الانتي T-cell antibody and complement or
+
+589
+00:45:59,670 --> 00:46:07,410
+irradiation.Graft-versus-whole-disease يوم ميسير
+
+590
+00:46:07,410 --> 00:46:11,190
+طبعا hemopoietic cell transplantation from donor
+
+591
+00:46:12,220 --> 00:46:15,980
+بالطبع انا اشار ليه Desperate Recipient Results in
+
+592
+00:46:15,980 --> 00:46:19,020
+Rejection طبيعي جدا يوم التنشط اللي هو ال host
+
+593
+00:46:19,020 --> 00:46:23,540
+cell ال donor cell against host antigen بيصير فيه
+
+594
+00:46:23,540 --> 00:46:26,820
+graft versus host disease طبعا سواء ان ال antigen
+
+595
+00:46:26,820 --> 00:46:31,240
+كان major او minor اتش انتجين المهم فيه reaction
+
+596
+00:46:31,240 --> 00:46:35,880
+graft versus host disease يتكامن من الminor
+
+597
+00:46:35,880 --> 00:46:40,530
+competent lymphoid cellبالنسبة للناس اللي اتعرف
+
+598
+00:46:40,530 --> 00:46:48,310
+على انتجينات الهوست هم الناس
+
+599
+00:46:48,310 --> 00:46:57,210
+اللي اتعرف على انتجينات الهوست هم
+
+600
+00:46:57,210 --> 00:47:01,290
+الناس اللي اتعرف على انتجينات الهوستRadiation
+
+601
+00:47:01,290 --> 00:47:05,550
+Therapy أو Chemotherapy اللي بتخلي مناعتهم قليلة
+
+602
+00:47:05,550 --> 00:47:09,490
+أو معدومة وبالتالي بيصير فيه إمكانية لعدوث الـ
+
+603
+00:47:09,490 --> 00:47:13,490
+graft-versus-host disease لإنه ممكن تصير الكلام
+
+604
+00:47:13,490 --> 00:47:20,790
+هذا as acute وبيتشكل هذه في 15% ل 40% من حالة ال
+
+605
+00:47:20,790 --> 00:47:25,590
+hemipietic cell transplantation وفي هذا الحل
+
+606
+00:47:25,590 --> 00:47:33,010
+الموتىوالـ morbidity is
+
+607
+00:47:33,010 --> 00:47:37,090
+the major cause of morbidity after allogenic HCT
+
+608
+00:47:37,090 --> 00:47:42,650
+الـ chronic بتشكل حوالي 50% من المرضى ماشي بيصير
+
+609
+00:47:42,650 --> 00:47:46,350
+في حوالي 50% من المرضى اللي ممكن يثبت لغاية تلت
+
+610
+00:47:46,350 --> 00:47:51,730
+شهور بعد عملية الزراعة ال acute graft versus heart
+
+611
+00:47:51,730 --> 00:47:57,060
+diseaseبينثل طبعا accelerated inflammatory
+
+612
+00:47:57,060 --> 00:48:04,060
+response يعني response عالي against foreign
+
+613
+00:48:04,060 --> 00:48:08,960
+antigen طبعا ال host قال له antigen في هذه الحالة
+
+614
+00:48:08,960 --> 00:48:12,520
+donor lymphocyte encounter tissue the recipient
+
+615
+00:48:12,520 --> 00:48:20,500
+that has been damaged to an underlying disease و
+
+616
+00:48:20,500 --> 00:48:28,420
+الناس هدولةكما قلنا لكم يكونوا متعرضين لإما بري
+
+617
+00:48:28,420 --> 00:48:33,440
+هيموبيتكسل ترانسبلانتيشن ثيرابي برادياشن أو
+
+618
+00:48:33,440 --> 00:48:39,060
+بكيموثيرابي. In human, graft-resistant disease may
+
+619
+00:48:39,060 --> 00:48:43,460
+produce plenomegaly نفس دولة or hepatomegaly or
+
+620
+00:48:43,460 --> 00:48:47,720
+lymphadenopathy or diarrhea, anemia, weight loss
+
+621
+00:48:47,720 --> 00:48:50,280
+and other disorders in which the underlying cause
+
+622
+00:48:50,280 --> 00:48:54,540
+are inflammationأو الـ Destruction من هذا الموضوع
+
+623
+00:48:54,540 --> 00:48:58,520
+.It is usually graft-resistant disease is
+
+624
+00:48:58,520 --> 00:49:04,640
+initiated by donor derived T cell تعرفت على
+
+625
+00:49:04,640 --> 00:49:09,900
+Recipient MHC antigen and minor H antigen as
+
+626
+00:49:09,900 --> 00:49:15,840
+foreign و ال procedure الأساسي او المثالي are used
+
+627
+00:49:15,840 --> 00:49:21,350
+to eliminate نيومولما يعملوا ال hemopoietic cell
+
+628
+00:49:21,350 --> 00:49:24,030
+transplantation بيعملوا elimination لل T cell من
+
+629
+00:49:24,030 --> 00:49:29,790
+donor hemopoietic stem cell sources لكن بتبقى ال
+
+630
+00:49:29,790 --> 00:49:36,330
+pluripotent stem cell ايضا ممكن تعطي خلايا او
+
+631
+00:49:36,330 --> 00:49:40,550
+تولدنا خلايا من ال T lymphocyte which are active
+
+632
+00:49:43,230 --> 00:49:45,290
+المعظم من الناس اللي بيشتغل في الانفلامات اللي
+
+633
+00:49:45,290 --> 00:49:46,870
+بيشتغل في الانفلامات اللي بيشتغل في الانفلامات
+
+634
+00:49:46,870 --> 00:49:47,730
+اللي بيشتغل في الانفلامات اللي بيشتغل في
+
+635
+00:49:47,730 --> 00:49:48,690
+الانفلامات اللي بيشتغل في الانفلامات اللي بيشتغل
+
+636
+00:49:48,690 --> 00:49:49,730
+في الانفلامات اللي بيشتغل في الانفلامات اللي
+
+637
+00:49:49,730 --> 00:49:50,270
+بيشتغل في الانفلامات اللي بيشتغل في الانفلامات
+
+638
+00:49:50,270 --> 00:49:51,850
+اللي بيشتغل في الانفلامات اللي بيشتغل في
+
+639
+00:49:51,850 --> 00:49:54,530
+الانفلامات اللي بيشتغل في الانفلامات اللي بيشتغل
+
+640
+00:49:54,530 --> 00:49:57,140
+في الانفلامات اللي بيشتعن طريق الـ Inflammatory
+
+641
+00:49:57,140 --> 00:49:59,680
+Reaction بيحصل في الـ cytokine release أشهرها
+
+642
+00:49:59,680 --> 00:50:03,440
+تيوانكسوس فاكتور آلفة و IL-1 شو بيعملوا؟ قالوا
+
+643
+00:50:03,440 --> 00:50:06,440
+هدولة بيعملوا recruitment لل inflammatory in it
+
+644
+00:50:06,440 --> 00:50:10,120
+inflammatory cell وبالتالي بتيجي بتساعد بتزيد
+
+645
+00:50:10,120 --> 00:50:15,260
+الطيبلة يعني بتساعد في زيادة ال destruction of
+
+646
+00:50:15,260 --> 00:50:19,080
+cell طبعا
+
+647
+00:50:19,080 --> 00:50:22,540
+unless the reaction is controlledالشيء اللي يحدث
+
+648
+00:50:22,540 --> 00:50:26,120
+في المريض هو ان المرض يستعمل ويهاجم ميكانيزم
+
+649
+00:50:26,120 --> 00:50:30,320
+الدفاع الإيميني وبالتالي
+
+650
+00:50:30,320 --> 00:50:33,580
+ممكن تؤدي الى الوفاة لأنه بيصير في المريض وكأنه
+
+651
+00:50:33,580 --> 00:50:39,240
+يعاني من status of immunodeficiency وبالتالي ممكن
+
+652
+00:50:39,240 --> 00:50:44,400
+تؤدي الى الوفاة لكن يمكن ان يكون مدينة بمجموعة من
+
+653
+00:50:44,400 --> 00:50:48,020
+الاجنات المعارفة بالإيمين مثل Cyclosporin
+
+654
+00:50:48,020 --> 00:50:49,020
+وTacrelambas
+
+655
+00:50:53,930 --> 00:51:00,030
+بسرعة من ميثاتركسيت ككيموثيرابي هذا بالنسبة
+
+656
+00:51:00,030 --> 00:51:05,190
+للهيموبيتك تم سيل ترانسبلانتاشن الموضوع التاني
+
+657
+00:51:05,190 --> 00:51:07,870
+اللي بدنا نحكي فيه في الموضوعين دايلين اللي هو
+
+658
+00:51:07,870 --> 00:51:11,670
+موضوع الفيتس هو بلعن tolerated allograft
+
+659
+00:51:15,600 --> 00:51:21,480
+وجاله في عدة أسباب بالنسبة لهذا الموضوع أول سبب أن
+
+660
+00:51:21,480 --> 00:51:25,880
+ال fetus express paternal amnesty antigen that is
+
+661
+00:51:25,880 --> 00:51:30,660
+not expressed by mother وبالتالي المفروض أنه to be
+
+662
+00:51:30,660 --> 00:51:33,920
+rejected by the mother as an allograft لكن اللي
+
+663
+00:51:33,920 --> 00:51:41,240
+بيصير أنه مارزي المفروض
+
+664
+00:51:41,240 --> 00:51:44,830
+أنه ال motherكان معروف ان الانتيبادي يتفاعل مع
+
+665
+00:51:44,830 --> 00:51:49,010
+انتجن الفيطران مثلما يحدث في حالة الـ Rh انتيبادي
+
+666
+00:51:49,010 --> 00:51:59,790
+بالاضافة لأن الأم كانت تخلف كثيرا الملتبرة woman
+
+667
+00:51:59,790 --> 00:52:09,530
+عندها انتيبادي تفادر MSC انتجن بشكل كبير الا ان
+
+668
+00:52:09,530 --> 00:52:19,230
+ليس انتيباديare harmless to the fetus هذه نقطة
+
+669
+00:52:19,230 --> 00:52:26,710
+مهمة they cannot cross the placenta لحاجات تانية
+
+670
+00:52:26,710 --> 00:52:31,690
+mother does not produce cytotoxic T cell against
+
+671
+00:52:31,690 --> 00:52:39,830
+the fetus إشي تالت trophoplasm بتاعة الفيتس اللي
+
+672
+00:52:39,830 --> 00:52:44,250
+بتتكوّم ال outer layer of placentaواللي هي on
+
+673
+00:52:44,250 --> 00:52:47,950
+direct contact with material tissue Do not express
+
+674
+00:52:47,950 --> 00:52:53,070
+polymorphic MHC class 1 or class 2 molecule ولكن
+
+675
+00:52:53,070 --> 00:52:56,830
+they express another polymorphic class of MHC
+
+676
+00:52:56,830 --> 00:53:01,410
+antigen بيسموه class 1B MHC molecule أو بيسموه
+
+677
+00:53:01,410 --> 00:53:06,850
+HLAG وبالتالي الـ fetal trophoblast does not prime
+
+678
+00:53:06,850 --> 00:53:11,230
+for cellular immune responseالتي مرتبطة بالـ
+
+679
+00:53:11,230 --> 00:53:16,650
+Allograft Rejection بل بالعكس الـ HLAG تمنح الـ
+
+680
+00:53:16,650 --> 00:53:23,050
+legend لـ KIR اللي موجود على الـ material NK cell
+
+681
+00:53:23,050 --> 00:53:29,450
+وبالتالي بيمنع نشاطها بيمنع عملية قتل الـ fetal
+
+682
+00:53:29,450 --> 00:53:33,870
+cell by NK cell شو بيعمل؟ مرتبط بالـ K inhibitory
+
+683
+00:53:33,870 --> 00:53:37,440
+receptorKiller Inhibitory Receptor اللي موجود على
+
+684
+00:53:37,440 --> 00:53:47,680
+سطح الانكيسل بتاعة الفيتس HLAG أيضًا Expressed in
+
+685
+00:53:47,680 --> 00:53:52,720
+Thymic Medullary Epithelium وهذا بيؤكد أن T cell
+
+686
+00:53:52,720 --> 00:54:00,860
+tolerance to this molecule شافته قبل هيك أيضًا No
+
+687
+00:54:00,860 --> 00:54:06,600
+cell expressing large amountأو MSC Class 2 مثلًا
+
+688
+00:54:06,600 --> 00:54:13,660
+دلتراتكسل التي تم وجودها في بلاسنتا مافيش Alpha
+
+689
+00:54:13,660 --> 00:54:17,980
+-Fetoprotein هو برعام بروتين بيصنع في اليوكساك
+
+690
+00:54:17,980 --> 00:54:23,680
+وفيتالليبر وبيعتبر important in the survival of
+
+691
+00:54:23,680 --> 00:54:29,240
+the fetus بيستخدم لإنه بيعتبر كimmunosuppressive
+
+692
+00:54:29,240 --> 00:54:33,040
+ال drug له immunosuppressive properties
+
+693
+00:54:35,540 --> 00:54:39,980
+وبالتالي الفيتس لا يشتغل في جهاز ممنوع و بالعكس
+
+694
+00:54:39,980 --> 00:54:46,640
+بيعتبر موجود فيه موجود في جهاز
+
+695
+00:54:46,640 --> 00:54:48,160
+ممنوع و بيعتبر موجود فيه موجود فيه موجود فيه موجود
+
+696
+00:54:48,160 --> 00:54:48,500
+فيه موجود فيه موجود فيه موجود فيه موجود فيه موجود
+
+697
+00:54:48,500 --> 00:54:48,900
+فيه موجود فيه موجود فيه موجود فيه موجود فيه موجود
+
+698
+00:54:48,900 --> 00:54:49,060
+فيه موجود فيه موجود فيه موجود فيه موجود فيه موجود
+
+699
+00:54:49,060 --> 00:54:49,080
+فيه موجود فيه موجود فيه موجود فيه موجود فيه موجود
+
+700
+00:54:49,080 --> 00:54:53,360
+فيه موجود فيه موجود فيه موجود فيه موجود فيه موجود
+
+701
+00:54:53,360 --> 00:55:03,980
+فيه موجود
+
+702
+00:55:03,980 --> 00:55:09,580
+فيوفي حالات الـ diabetic ulcer و الـ venous ulcer
+
+703
+00:55:09,580 --> 00:55:18,260
+وغالبا بتشير commonly otologous طبعا recently
+
+704
+00:55:18,260 --> 00:55:22,700
+artificial skin has been used يعني بدوا يصنع
+
+705
+00:55:22,700 --> 00:55:25,800
+consisting of stromal element and cultured cell
+
+706
+00:55:25,800 --> 00:55:30,360
+for allergenic or xenogenic origin صاروا يستخدموا
+
+707
+00:55:30,360 --> 00:55:31,140
+اللي هو
+
+708
+00:55:35,440 --> 00:55:43,300
+وأد من أصول اللي هو مصنعة kidney
+
+709
+00:55:43,300 --> 00:55:48,500
+زي ما في حالات ال arena failure طبعا ال craft
+
+710
+00:55:48,500 --> 00:55:58,540
+survival بيزيد عن 85% عن سنة حتى وإن كان unrelated
+
+711
+00:55:58,540 --> 00:56:05,920
+matching is presentطبعا مش سنة انا بقول اليوم في
+
+712
+00:56:05,920 --> 00:56:10,680
+ال kidney اليوم وصل by using immunosuppressive
+
+713
+00:56:10,680 --> 00:56:16,500
+regimen لغاية اخر احد الابحاث بتقول لغاية عشرين
+
+714
+00:56:16,500 --> 00:56:20,740
+وخمس وعشرين سنة liver في حالة الهيباطوم أو ال
+
+715
+00:56:20,740 --> 00:56:25,320
+biliary atresia successful in about two third of
+
+716
+00:56:25,320 --> 00:56:30,320
+recipient for one year heart في حالة ال cardiac
+
+717
+00:56:30,320 --> 00:56:36,750
+failuresurvival rate توصل الى 80% for one year ال
+
+718
+00:56:36,750 --> 00:56:39,530
+lung في حالات ال advanced pulmonary or
+
+719
+00:56:39,530 --> 00:56:45,050
+cardiopulmonary diseases و غالبا بسرعة
+
+720
+00:56:45,050 --> 00:56:47,050
+transplantation together with heart
+
+721
+00:56:47,050 --> 00:56:51,390
+transplantation دول مروا في حالات ال incurable
+
+722
+00:56:51,390 --> 00:56:56,190
+لكيميا لينفومة congenital immunodeficiency و risk
+
+723
+00:56:56,190 --> 00:57:01,180
+of graft versus host diseasetransplantation of a
+
+724
+00:57:01,180 --> 00:57:04,180
+hemopoietic cell has been used عشان يخففه من
+
+725
+00:57:04,180 --> 00:57:07,860
+الشرسكوفجرافت versus his disease بدوا يستخدموا
+
+726
+00:57:07,860 --> 00:57:12,940
+hemopoietic stem cell مش بولمارو كورنيا في حالة ال
+
+727
+00:57:12,940 --> 00:57:18,060
+blindness actually matching is not advantageous مش
+
+728
+00:57:18,060 --> 00:57:24,900
+كتير ميزة لإن الكورنيا او ال eye is privileged
+
+729
+00:57:24,900 --> 00:57:29,370
+side immunoprivileged sideوبالتالي مافيني
+
+730
+00:57:29,370 --> 00:57:34,610
+lymphatic drainage pancreas في علات ال diabetes
+
+731
+00:57:34,610 --> 00:57:38,770
+mellitus pancreas and kidney transplantation
+
+732
+00:57:38,770 --> 00:57:47,710
+التانين مع بعض success rate يعني تقريبا بتجرب من
+
+733
+00:57:47,710 --> 00:57:53,490
+ال kidney transplant وبهيك بنكون ان هنا محاضرة ال
+
+734
+00:57:53,490 --> 00:57:57,710
+kidney transplant ال transplantationيعني أرجو أن
+
+735
+00:57:57,710 --> 00:58:03,630
+تكون أفدتكم و استمتعتم بهذه المحاضرة و شكرا
+
diff --git a/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/XhNdT_-rbsc.srt b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/XhNdT_-rbsc.srt
new file mode 100644
index 0000000000000000000000000000000000000000..46b63e0b4d416a006d46f2611cbee560dc9137cf
--- /dev/null
+++ b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/XhNdT_-rbsc.srt
@@ -0,0 +1,2250 @@
+1
+00:00:02,020 --> 00:00:06,140
+بسم الله الرحمن الرحيم والصلاة والسلام على سيد
+
+2
+00:00:06,140 --> 00:00:11,320
+الخلق أجمعين ننتقل اليوم إن شاء الله إلى الجزء 
+
+3
+00:00:11,320 --> 00:00:20,940
+الكلينيكي من المناعة ويبدأ بأول هذه الأمراض وهو ال
+
+4
+00:00:20,940 --> 00:00:26,140
+hypersensitivity reaction  الـ hypersensitivity
+
+5
+00:00:26,140 --> 00:00:30,540
+تعريفا هي ببساطة حالة بيصير فيها over reactivity لل
+
+6
+00:00:30,540 --> 00:00:38,740
+immune response وهذا يؤدي إلى deleterious بمعنى 
+
+7
+00:00:38,740 --> 00:00:45,420
+بيؤدي إلى أذية وليس إلى نظام حماية في الجسم بيصير 
+8
+00:00:45,420 --> 00:00:47,260
+الـ immune response
+
+9
+00:00:49,670 --> 00:00:58,770
+من مضاعفاته أنه يصير فيه damage ويصير فيه
+
+10
+00:00:58,770 --> 00:01:03,990
+pain ويصير فيه كل الـ inflammatory signs بيعاني 
+
+11
+00:01:03,990 --> 00:01:13,990
+منها المريض أنواع الـ hypersensitivity هم أربعة
+
+12
+00:01:13,990 --> 00:01:21,230
+أنواع سموهم أُعطوهم أرقام type 1 وtype 2 وtype 3
+
+13
+00:01:21,230 --> 00:01:26,870
+وtype 4 اللي عرفهم على two scientists واحد اسمه
+
+14
+00:01:26,870 --> 00:01:33,330
+كومس والثاني اسمه جيل النوع الأول سموه immediate
+
+15
+00:01:33,330 --> 00:01:40,050
+hypersensitivity allergy وهو ببساطة IgE mediated
+
+16
+00:01:40,050 --> 00:01:46,930
+reaction بمعنى أن في antibody mediated the reaction
+
+17
+00:01:46,930 --> 00:01:52,590
+وهذا الأنتيبودي هو عبارة عن IgE  Antibody It's
+
+18
+00:01:52,590 --> 00:01:58,230
+stimulated the reaction is stimulated by the IgE
+
+19
+00:01:58,230 --> 00:02:05,650
+يوم يرتبط برسيبتور تبعه على سطح الماست سيل والبيزوفيل
+
+20
+00:02:05,650 --> 00:02:10,450
+والريسيبتور هو عبارة عن FC ارتباطه من خلال الـ FC
+
+21
+00:02:10,450 --> 00:02:13,430
+portion of 
+
+22
+00:02:16,350 --> 00:02:21,650
+antibody يعني اللي في التوب بيظل الفاب والـ receptor
+
+23
+00:02:21,650 --> 00:02:28,250
+بيسموه FC epsilon R1 once
+
+24
+00:02:28,250 --> 00:02:34,650
+cross linked okay بمعنى الـ antigen صاروا cross
+
+25
+00:02:34,650 --> 00:02:38,790
+linking two antigen two antibody are cross linked
+
+26
+00:02:38,790 --> 00:02:44,560
+with the same antigen الـ IgE بيعمل تحذير للماست سيل
+
+27
+00:02:44,560 --> 00:02:47,400
+والبيزوفيل لتحذيره بشكل ديجرانيوليكي لتحذيره بشكل
+
+28
+00:02:47,400 --> 00:02:47,740
+ديجرانيوليكي لتحذيره بشكل ديجرانيوليكي لتحذيره
+
+29
+00:02:47,740 --> 00:02:49,760
+بشكل ديجرانيوليكي لتحذيره بشكل ديجرانيوليكي
+
+30
+00:02:49,760 --> 00:02:52,220
+لتحذيره بشكل ديجرانيوليكي لتحذيره بشكل
+
+31
+00:02:52,220 --> 00:02:52,260
+ديجرانيوليكي لتحذيره بشكل ديجرانيوليكي لتحذيره
+
+32
+00:02:52,260 --> 00:02:55,420
+بشكل
+
+33
+00:02:55,420 --> 00:02:59,420
+ديجرانيوليكي لتحذيره بشكل ديجرانيوليكي لتحذيره
+
+34
+00:02:59,420 --> 00:03:05,980
+بشكل
+
+35
+00:03:05,980 --> 00:03:16,560
+ديجرانيوليكي be away from protection يعني المريض بيكون دخل
+
+36
+00:03:16,560 --> 00:03:23,260
+في مرحلة خاطرة reaction usually is rapid بيصير 
+
+37
+00:03:23,260 --> 00:03:27,700
+within minutes after challenge بمعنى after the
+
+38
+00:03:27,700 --> 00:03:35,680
+exposure to the antigen type two بيسموه cytolytic or
+
+39
+00:03:35,680 --> 00:03:41,980
+cytotoxic reaction or cure وهو طبعا أيضا antibody
+
+40
+00:03:41,980 --> 00:03:46,420
+mediated يوم يكون الـ IGM أو الـ IGE يرتبط بانتجن
+
+41
+00:03:46,420 --> 00:03:49,980
+على سطح الخلايا وهو بينشط لنا complement والـ
+
+42
+00:03:49,980 --> 00:03:56,780
+complement بتكسر الخلية اللي اتنشطت عليها type 3
+
+43
+00:03:56,780 --> 00:04:03,280
+اللي بيصير فيه immune complex formation بمعنى
+
+44
+00:04:03,280 --> 00:04:07,980
+Immune Complex Reaction بيصير وبتتجمع الـ Immune
+
+45
+00:04:07,980 --> 00:04:12,120
+بالانتجن طبعا والـ IGM والـ IGG أيضا Antibody
+
+46
+00:04:12,120 --> 00:04:17,440
+Mediated بتبدأ تتجمع هذه الـ Complexes in
+
+47
+00:04:17,440 --> 00:04:21,980
+circulation or in tissue وبرضه بنشطه الـ complement
+
+48
+00:04:21,980 --> 00:04:28,040
+أيضا الـ Granulocyte في هذه الحالة is recruited is
+
+49
+00:04:28,040 --> 00:04:30,860
+attracted to the site of vaccination أو of
+
+50
+00:04:30,860 --> 00:04:36,090
+activation وهي أيضا بيؤدي إلى damage of tissue by
+
+51
+00:04:36,090 --> 00:04:40,590
+the enzyme from granulocytes and this also occur
+
+52
+00:04:40,590 --> 00:04:48,390
+within hours from challenge with antigen نوع
+
+53
+00:04:48,390 --> 00:04:53,810
+الرابع cell mediated يعني التلاتة الأولانيين هم
+
+54
+00:04:53,810 --> 00:04:57,310
+عبارة عن antibody mediated بينما الرابع هو عبارة
+
+55
+00:04:57,310 --> 00:05:01,800
+عن cell mediated immunity واللي بيصير فيه delete
+
+56
+00:05:01,800 --> 00:05:08,820
+type hypersensitivity reaction المحصلة نشاط لـ CD4
+
+57
+00:05:08,820 --> 00:05:16,480
+T-Helper cell و CD8 cytotoxic cell أيضا لما تتنشط
+
+58
+00:05:16,480 --> 00:05:21,000
+الـ CD4 T-Helper cell بتنشط لنا الـ different
+
+59
+00:05:21,000 --> 00:05:25,580
+cytokine which recruit and activate macrophage
+
+60
+00:05:25,580 --> 00:05:29,320
+وبالتالي الـ macrophage بيعمل damage أيضا
+
+61
+00:05:32,950 --> 00:05:37,170
+Tissue بس الـ reaction بيصير within days or weeks
+
+62
+00:05:37,170 --> 00:05:41,010
+after challenge with antigen لأنه من هذا المطلق
+
+63
+00:05:41,010 --> 00:05:46,950
+بيسموها delayed type hypersensitivity reaction نبدأ 
+
+64
+00:05:46,950 --> 00:05:49,850
+بأول هذه الأنواع ونحكي في type one
+
+65
+00:05:49,850 --> 00:05:55,350
+hypersensitivity reaction ونحكي بالـ phases of
+
+66
+00:05:55,350 --> 00:06:00,010
+allergic reaction يعني this reaction usually have
+
+67
+00:06:00,010 --> 00:06:03,230
+three phases الـ phase الأولاني بيسموه
+
+68
+00:06:03,230 --> 00:06:08,450
+sensitization phase sensitization phase بمعنى أنه
+
+69
+00:06:08,450 --> 00:06:14,930
+تكون الـ IgE تكون الـ IgE in response to antigenic
+
+70
+00:06:14,930 --> 00:06:18,950
+stimulus وارتبط في الـ receptor تبعه على سطح الماست سيل
+
+71
+00:06:18,950 --> 00:06:25,030
+والبيزوفيل يعني فقط تكون الـ IgE الـ antibody وجاعد
+
+72
+00:06:25,030 --> 00:06:30,610
+على سطح الخلايا من خلال ارتباطه بالـ receptor تبعه
+
+73
+00:06:32,190 --> 00:06:37,710
+الفاز الثاني اللي هو الـ activation phase طبعا upon
+
+74
+00:06:37,710 --> 00:06:43,390
+the exposure to the same antigen it will trigger
+
+75
+00:06:43,390 --> 00:06:48,030
+وارتباط الـ antibody بهذا الـ antigen it will
+
+76
+00:06:48,030 --> 00:06:54,830
+trigger mast cell and basophil to respond والـ the
+
+77
+00:06:54,830 --> 00:06:59,230
+response يعني أنه they degranulate they release
+
+78
+00:06:59,230 --> 00:07:04,350
+their granules الـ Phase الثالث وهو الـ Effect of
+
+79
+00:07:04,350 --> 00:07:07,910
+Phase وهو تأثير الـ Granules شو بيعمل؟ Complex
+
+80
+00:07:07,910 --> 00:07:14,050
+Response لأنه في مجموعة كبيرة من الـ Granules
+
+81
+00:07:14,050 --> 00:07:19,150
+بتطلع كل واحد له Effect معين فالمحصلة هو عبارة عن
+
+82
+00:07:19,150 --> 00:07:22,950
+Complex Response من الـ ... بيؤدي إلى Many
+
+83
+00:07:22,950 --> 00:07:28,850
+Inflammatory Reactions بسبب إطلاق الكثير من
+
+84
+00:07:28,850 --> 00:07:35,650
+الـ inflammatory mediators بشكل ماست سيل وبيزوفيل طبعا
+
+85
+00:07:35,650 --> 00:07:41,570
+ما حصلت هذا الكلام أن هناك أعراض والأعراض بتظهر 
+
+86
+00:07:41,570 --> 00:07:49,200
+بإكزيمة وأزمة ورينيتس وهكذا طيب شو اللي بيصير 
+
+87
+00:07:49,200 --> 00:07:52,220
+في الـ sensitization phase؟ قالوا الـ immunoglobulin
+
+88
+00:07:52,220 --> 00:07:56,500
+هو المسؤول عن الـ allergic reaction واتفقنا على أنه
+
+89
+00:07:56,500 --> 00:08:04,520
+هو الـ IGA it occurs usually by
+
+90
+00:08:04,520 --> 00:08:09,680
+any means of contact بما فيها skin contact or
+
+91
+00:08:09,680 --> 00:08:13,560
+through injection or through injection of and
+
+92
+00:08:13,560 --> 00:08:21,080
+inhalation to the antigen في مصطلحين بيصاحبوا هذه 
+
+93
+00:08:21,080 --> 00:08:27,340
+الحالة الأولاني هو الـ hay fever وهو مصطلح نقصد فيه
+
+94
+00:08:27,340 --> 00:08:34,700
+أن الأنتجين جاء from airborne allergen أو source ال
+
+95
+00:08:34,700 --> 00:08:41,760
+atopy أيضا بيعني أن الـ IGE related
+
+96
+00:08:41,760 --> 00:08:43,640
+hypersensitivity reaction 
+
+97
+00:08:47,060 --> 00:08:52,000
+والمرضى اللي بيسموه عندهم هذا النوع من الـ reaction
+
+98
+00:08:52,000 --> 00:09:00,020
+بيسموهم atopic patient atopic patient ال
+
+99
+00:09:00,020 --> 00:09:07,140
+RGE response are genetically controlled والجين 
+
+100
+00:09:07,140 --> 00:09:11,760
+اللي يـ control the IGE antibody هم عبارة عن MHC
+
+101
+00:09:11,760 --> 00:09:16,120
+linked gene موجودين على كروموسوم رقم 6 أيضا
+
+102
+00:09:16,120 --> 00:09:20,100
+control موجود 
+
+103
+00:09:20,100 --> 00:09:24,400
+من خلال other regulatory gene زي الجينات المسؤولة 
+
+104
+00:09:24,400 --> 00:09:28,520
+عن الـ FCE receptor وهذا موجودين على كروموسوم رقم
+
+105
+00:09:28,520 --> 00:09:34,640
+2 كمان الجينات اللي موجودين for T للبرتوكول and
+
+106
+00:09:34,640 --> 00:09:39,380
+IL4 gene وطبعا هدول موجودين على كروموسوم رقم 5
+
+107
+00:09:40,600 --> 00:09:45,920
+بيحتوي على عدة جينات منهم اللي يفرق آية 3 أو
+
+108
+00:09:45,920 --> 00:09:49,500
+4 أو 5 أو 9 أو 13 وبالتالي عبارة عن
+
+109
+00:09:49,500 --> 00:09:54,020
+مجموعة من الجينات طبعا over expression of these
+
+110
+00:09:54,020 --> 00:10:04,260
+genes بيعني زيادة في هذا النوع من الحساسية الـ
+
+111
+00:10:04,260 --> 00:10:09,440
+IGE antibody production اتفقنا على أن هذه الـ response
+
+112
+00:10:09,440 --> 00:10:14,210
+dependent وبما أننا بنحكي على T helper 2 يبقى
+
+113
+00:10:14,210 --> 00:10:19,150
+IL4 وIL13 ساعته كان بيلعب دور كبير في هذا
+
+114
+00:10:19,150 --> 00:10:25,770
+الموضوع في تنشيط T helper 2 ولو استخدمنا Anti-IL
+
+115
+00:10:25,770 --> 00:10:33,370
+-4 Antibody it will mimic and inhibit the IgE
+
+116
+00:10:33,370 --> 00:10:37,230
+production أيضا
+
+117
+00:10:38,850 --> 00:10:43,870
+وجدوا أن الـ concentration of IL-4 أو level of IL-4
+
+118
+00:10:43,870 --> 00:10:49,350
+في هدول الأشخاص is higher than non allergic one
+
+119
+00:10:49,350 --> 00:10:54,950
+أيضا الـ IGE level are also higher than the first
+
+120
+00:10:54,950 --> 00:11:04,190
+group اللي هو IL-4 IL-13 group طبعا
+
+121
+00:11:04,190 --> 00:11:06,050
+once exposure to the allergen
+
+122
+00:11:09,990 --> 00:11:21,270
+بعد مراجعة ثانوية مرة، يعتبر الشخص مستشعر، والـ
+
+123
+00:11:21,270 --> 00:11:27,210
+IgE، عفوا، بمجرد دخول الـ Allergen، الـ IgE بتكون
+
+124
+00:11:27,210 --> 00:11:31,470
+أو موجود على سطح الخلايا من خلال ارتباطه بالـ
+
+125
+00:11:31,470 --> 00:11:36,760
+Receptor تبعه.الماست سيل اللي نجيبها موجودة في blood
+
+126
+00:11:36,760 --> 00:11:39,680
+vessels around the blood vessels in the connective
+
+127
+00:11:39,680 --> 00:11:45,940
+tissue موجودة lining the gut and in the lung
+
+128
+00:11:45,940 --> 00:11:49,620
+وهذه طبعا الأماكن الحساسة التي تتأثر ويصير فيها
+
+129
+00:11:49,620 --> 00:11:56,620
+damage through the hypersensitivity reaction both
+
+130
+00:11:56,620 --> 00:12:00,540
+muscle and basophil have the receptor اللي هو ال
+
+131
+00:12:00,540 --> 00:12:05,220
+Fc epsilon receptor one which points to IgE من خلال
+
+132
+00:12:05,220 --> 00:12:10,380
+الـ Fc portion ماشي يعني اللي فالت على سطح الخلية
+
+133
+00:12:10,380 --> 00:12:16,280
+هو الـ Fab region and it will remain sensitized these
+
+134
+00:12:16,280 --> 00:12:21,780
+cells will remain sensitized and their activation
+
+135
+00:12:21,780 --> 00:12:28,080
+occurs when antigen comes in contact with them فقط
+
+136
+00:12:28,080 --> 00:12:32,070
+يعني في المرة الأولانية فقط التعرض الأولاني
+
+137
+00:12:32,070 --> 00:12:36,510
+للانتيجين فقط بيتكون الـ antibody وبيقعد على سطح
+
+138
+00:12:36,510 --> 00:12:40,490
+الخلايا و بنعتبر المريض sensitized upon second
+
+139
+00:12:40,490 --> 00:12:43,910
+exposure to the same antigen هيكون الـ antibody
+
+140
+00:12:43,910 --> 00:12:48,270
+جاهز بيستنى الـ antigen ولما يحصل cross linking
+
+141
+00:12:48,270 --> 00:12:49,410
+بيحصل فيه activation
+
+142
+00:12:52,370 --> 00:12:55,710
+الـ Passive Sensitization is achieved by
+
+143
+00:12:55,710 --> 00:12:58,530
+transferring يعني ممكن الواحد ياخد الحساسية من
+
+144
+00:12:58,530 --> 00:13:03,590
+واحد ثاني طبعا إذا أخد منه Serum وبيحتوي على الـ
+
+145
+00:13:03,590 --> 00:13:11,890
+IgA Antibody to specific antigen بيسمو العملية
+
+146
+00:13:11,890 --> 00:13:18,330
+Passive Sensitization وهذا ما يحدث في Prausnitz
+
+147
+00:13:18,330 --> 00:13:24,760
+Küstner Testالذي من خلاله نستطيع نحكي الـ antibody
+
+148
+00:13:24,760 --> 00:13:28,700
+responsible for anaphylactic reaction واحد عنده
+
+149
+00:13:28,700 --> 00:13:35,180
+حساسية بنعمله الـ PKA test اللي هو Prausnitz Küstner
+
+150
+00:13:35,180 --> 00:13:42,660
+Test بنشوف من خلاله إنه في عنده antibody which can
+
+151
+00:13:42,660 --> 00:13:48,120
+cause anaphylactic reaction or not طبعا كلكم
+
+152
+00:13:48,120 --> 00:13:52,050
+تعرفوا الـ TBreaction اللي هو بيعمل wheel
+
+153
+00:13:52,050 --> 00:13:58,290
+and flare reaction في الـ skin شو اللي بيصير في هذا
+
+154
+00:13:58,290 --> 00:14:05,350
+الفحص إنه الإنسان اللي عنده allergy for x antigen
+
+155
+00:14:05,350 --> 00:14:09,830
+بناخد
+
+156
+00:14:09,830 --> 00:14:14,850
+منه الـ serum و بنعمله injection into non allergic
+
+157
+00:14:14,850 --> 00:14:21,160
+person فبيصير عنده antibody من نوع IgE الذين يقومون
+
+158
+00:14:21,160 --> 00:14:29,140
+بإدخال mast cell وbasophil طبعا مرة أنتجت بـ antigen X
+
+159
+00:14:29,140 --> 00:14:35,120
+سيسبب فيها تفاعل ارتكاريال طبعا
+
+160
+00:14:35,120 --> 00:14:40,180
+هذه التفاعل هي حيث ان الحيوان مستشعر بشكل مستشعر
+
+161
+00:14:40,180 --> 00:14:46,660
+مستشعر
+
+162
+00:14:47,880 --> 00:14:52,440
+هو بيسموها التفاعل passive cutaneous anaphylaxis
+
+163
+00:14:52,440 --> 00:14:57,240
+أنه بيصير على الـ skin هو ده بيصير حقا تحت الـ skin
+
+164
+00:14:57,240 --> 00:15:00,760
+هو بيصير على الـ skin with and flare reaction
+
+165
+00:15:00,760 --> 00:15:08,600
+وبيسموها passive cutaneous anaphylaxis وهي الـ
+
+166
+00:15:08,600 --> 00:15:14,700
+activation زي مين دي عبارة عن mast cell على سطحه
+
+167
+00:15:14,700 --> 00:15:20,120
+receptor ده هو الـ receptor for IgE FcEpsilon-R1
+
+168
+00:15:20,120 --> 00:15:27,480
+Receptor ارتبط فيه الـ antibody IgE وطبعا هي
+
+169
+00:15:27,480 --> 00:15:33,000
+الـ antibody يوم دخل الـ antigen وصار cross linking
+
+170
+00:15:33,000 --> 00:15:39,440
+يعني مسكتوا antibody مع بعض نشطت الـ mast cell وعملت
+
+171
+00:15:39,440 --> 00:15:44,020
+degranulation هي الـ degranulation occurs بوضوح في
+
+172
+00:15:44,020 --> 00:15:44,620
+هذه الحالة
+
+173
+00:15:49,130 --> 00:15:52,530
+الـ activation phase of allergic reaction بيبدأ by
+
+174
+00:15:52,530 --> 00:15:56,350
+triggering the mast cell to release their content and
+
+175
+00:15:56,350 --> 00:16:02,550
+inflammatory mediators in
+
+176
+00:16:02,550 --> 00:16:07,370
+the medium أيضا it occurs it requires to at least
+
+177
+00:16:07,370 --> 00:16:13,550
+two of the receptors of the Fc region of IgE
+
+178
+00:16:13,550 --> 00:16:17,270
+molecule to be bridged يعني قلنا لكوا بده يحصل فيه
+
+179
+00:16:17,270 --> 00:16:21,670
+cross-linking between two receptors من خلال
+
+180
+00:16:21,670 --> 00:16:29,850
+ارتباطهم with one antigen المحصلة،
+
+181
+00:16:29,850 --> 00:16:34,950
+المحصلة إثارة الكلام إن المحصلة الـ Degranulate هو
+
+182
+00:16:34,950 --> 00:16:39,070
+الـ Degranulation بيعتمد الـ Inflammatory reaction
+
+183
+00:16:39,070 --> 00:16:43,150
+بيعتمد على الـ dose of antigen and route of entry
+
+184
+00:16:43,150 --> 00:16:50,690
+route of entry كيف دخل الـ antigen فعلى سبيل المثال if
+
+185
+00:16:50,690 --> 00:16:54,530
+it degranulates in the GIT يعني gastrointestinal
+
+186
+00:16:54,530 --> 00:16:59,670
+tract it will cause fluid secretion and
+
+187
+00:16:59,670 --> 00:17:05,750
+peristalsis to occur والمحصلة إسهال و vomiting
+
+188
+00:17:06,740 --> 00:17:12,080
+يعني واحد عنده حساسية دخلت عن طريق الجسد الأكل ممكن
+
+189
+00:17:12,080 --> 00:17:18,100
+يصير فيه اللي هو إسهال و نتج و الجهاز الهضمي هو من
+
+190
+00:17:18,100 --> 00:17:23,980
+يتأثر في الـ lung إذا كان by inhalation ماشي it
+
+191
+00:17:23,980 --> 00:17:30,020
+decreases in airway diameter و بيصير فيه blockage
+
+192
+00:17:30,020 --> 00:17:35,180
+of the airways يعني بتضيق
+
+193
+00:17:36,000 --> 00:17:44,020
+اللي هو الـ airways diameter و بيصير فيه ضيق في
+
+194
+00:17:44,020 --> 00:17:48,980
+التنفس in blood vessels هذا بيعمل vascular
+
+195
+00:17:48,980 --> 00:17:52,980
+permeability يبقى حسب المكان اللي إيش اللي صار فيه
+
+196
+00:17:52,980 --> 00:17:57,960
+الـ reaction بيصير فيه symptoms مصاحبة لإيه
+
+197
+00:18:00,580 --> 00:18:08,920
+حسب المكان بتختلف باختلاف المكان طبعا الـ severity
+
+198
+00:18:08,920 --> 00:18:14,480
+بتختلف باختلاف الـ dose وهذه
+
+199
+00:18:14,480 --> 00:18:22,720
+الصورة بيبين لنا different ways اللي من خلالها الـ
+
+200
+00:18:22,720 --> 00:18:26,980
+mast cell و الـ basophil عملت degranulation فزي ما
+
+201
+00:18:26,980 --> 00:18:32,070
+إنتوا شايفين طبعا هنا في عندنا mast cell already
+
+202
+00:18:32,070 --> 00:18:36,750
+sensitized على نفسها antibody يوم يصير في bridging
+
+203
+00:18:36,750 --> 00:18:41,270
+between these two antibodies by even anti-IgE
+
+204
+00:18:41,270 --> 00:18:49,190
+هيصير في الـ degranulation أيضا هنا ممكن يصير في
+
+205
+00:18:49,190 --> 00:18:53,930
+cross linking من خلال الارتباط بالـ actin هنا من خلال
+
+206
+00:18:53,930 --> 00:18:59,750
+ارتباط بـ chemical substance وهنا من خلال الارتباط
+
+207
+00:18:59,750 --> 00:19:07,530
+بـ Anti-Receptor Antibody ضد ميه ضد الـ Receptor تبع
+
+208
+00:19:07,530 --> 00:19:16,630
+الـ IgE-Epsilon هذه
+
+209
+00:19:16,630 --> 00:19:21,710
+الفيجور اللي فات بيبين لنا various types of cross
+
+210
+00:19:21,710 --> 00:19:25,950
+linking which lead to mast cell degranulation
+
+211
+00:19:29,050 --> 00:19:32,970
+أيضا Calcium ionophore بيؤدي إلى زيادة الـ calcium
+
+212
+00:19:32,970 --> 00:19:37,590
+influx في الخلية وهذا بيؤدي إلى الـ degranulation
+
+213
+00:19:37,590 --> 00:19:44,990
+الـ anaphylatoxins C3A و C5A و Drugs زي الـ codeine
+
+214
+00:19:44,990 --> 00:19:50,210
+و الـ morphine وبعض الـ lectin أيضا كان cross-linked
+
+215
+00:19:50,210 --> 00:19:58,850
+IgE Fc receptor Receptor بيسمله aggregation وهو
+
+216
+00:19:58,850 --> 00:20:03,030
+بيغير شكله وبيتبّع
+
+217
+00:20:03,030 --> 00:20:08,070
+ذلك اللي هو changing membrane fluidity وهذا بيحصل
+
+218
+00:20:08,070 --> 00:20:12,730
+غالبا from methylation أو phospholipid اللي موجود
+
+219
+00:20:12,730 --> 00:20:15,670
+في cell membrane بيؤدي إلى transient increase in
+
+220
+00:20:15,670 --> 00:20:19,670
+cyclic AMP مطبوعة
+
+221
+00:20:19,670 --> 00:20:24,810
+بالكالسيوم influx وطبعا هذا بيعمل slow down to the
+
+222
+00:20:25,280 --> 00:20:29,160
+process of degranulation وبالتالي الـ activation of
+
+223
+00:20:29,160 --> 00:20:32,880
+the adenylate cyclase اللي هو بتحكم في الـ cyclic AMP
+
+224
+00:20:32,880 --> 00:20:39,320
+and cAMP can control the anaphylaxis
+
+225
+00:20:39,320 --> 00:20:50,340
+طبعا
+
+226
+00:20:50,340 --> 00:20:51,080
+الـ degranulation
+
+227
+00:20:54,060 --> 00:20:59,800
+Degranulated cells regenerate and synthesize the
+
+228
+00:20:59,800 --> 00:21:02,620
+granules and resume their function طبيعي جدا إذا
+
+229
+00:21:02,620 --> 00:21:05,780
+كان عمل Degranulation ترجع تكوين الـ granules من
+
+230
+00:21:05,780 --> 00:21:10,320
+الأول و جديد وبالتالي ب .. it can resume their
+
+231
+00:21:10,320 --> 00:21:15,720
+function easily Effector phase الـ symptoms of
+
+232
+00:21:15,720 --> 00:21:21,560
+allergic reaction غالبا هي عبارة عن مصاحبة الـ
+
+233
+00:21:21,560 --> 00:21:27,200
+inflammatory mediators released وجابوا إن الـ
+
+234
+00:21:27,200 --> 00:21:30,460
+inflammatory mediators هي نوعين واحد already
+
+235
+00:21:30,460 --> 00:21:35,680
+preformed mediators والتاني newly formed mediators
+
+236
+00:21:35,680 --> 00:21:40,960
+أو mast cell mediators وهنشوف هم هذا هم زي ما إنتوا
+
+237
+00:21:40,960 --> 00:21:50,890
+عارفين هي الـ .. الـ .. الـ mast cell مرتبطة بالـ antigen
+
+238
+00:21:50,890 --> 00:21:56,210
+و لاحظوا الـ cross linking اللي موجود between
+
+239
+00:21:56,210 --> 00:22:04,510
+receptors مع الـ antigen طبعا محصلت هذا الكلام
+
+240
+00:22:04,510 --> 00:22:09,550
+بيصير فيه calcium influx وبيتبّع الـ calcium influx
+
+241
+00:22:09,550 --> 00:22:13,890
+اللي هو الـ degranulation اللي زي ما اتفقنا في نوعين
+
+242
+00:22:13,890 --> 00:22:17,470
+من الـ granules واحد already preformed يعني موجود
+
+243
+00:22:17,470 --> 00:22:25,110
+في الـ granules جاهز زي الـ histamine والـ heparin والـ
+
+244
+00:22:25,110 --> 00:22:32,230
+proteases و الـ ECF-A و IL8 و
+
+245
+00:22:32,230 --> 00:22:37,850
+other cytokines هذه الميزة موجودة مستعدة ومستعدة
+
+246
+00:22:37,850 --> 00:22:42,690
+في الخلية فبإمكانك إصلاحها بإمكانك إصلاحها بإمكانك
+
+247
+00:22:42,690 --> 00:22:46,170
+إصلاحها بإمكانك إصلاحها بإمكانك
+
+248
+00:22:46,170 --> 00:22:46,650
+إصلاحها بإمكانك إصلاحها بإمكانك
+
+249
+00:22:46,650 --> 00:22:46,910
+إصلاحها بإمكانك إصلاحها بإمكانك
+
+250
+00:22:46,910 --> 00:22:47,070
+إصلاحها بإمكانك إصلاحها بإمكانك
+
+251
+00:22:47,070 --> 00:22:50,350
+إصلاحها بإمكانك إصلاحها بإمكانك إصلاحها بإمكانك
+
+252
+00:22:50,350 --> 00:22:56,330
+إصلاحها بإمكانك إصلاحها بإمكانك
+
+253
+00:22:56,330 --> 00:23:04,520
+إصلاحها وبطلعنا اللي هو Arachidonic Acid أي اتنشط
+
+254
+00:23:04,520 --> 00:23:08,740
+الفوسفولاي بيز انزايم وبطلع الـ Arachidonic Acid
+
+255
+00:23:08,740 --> 00:23:13,340
+from the membrane لبت والـ Arachidonic Acid بدينا
+
+256
+00:23:13,340 --> 00:23:19,560
+نوعين من الـ product واحد في وجود الـ Cyclooxygenase
+
+257
+00:23:19,560 --> 00:23:25,060
+انزايم بدي Prostaglandin و Thromboxane A2 وفي ولود
+
+258
+00:23:25,060 --> 00:23:29,960
+اللي هو أكسجينيه مدى الليكوترين بأنواع مختلفة هي
+
+259
+00:23:29,960 --> 00:23:35,440
+الليكوترين B وC وD وE كلهم بيطلعوا slow release
+
+260
+00:23:35,440 --> 00:23:41,000
+substance are released وهي المسئولة عن كثير من
+
+261
+00:23:41,000 --> 00:23:49,720
+الأعراض عن الـ pain و الـ symptoms يبقى فيه موديو مدينة
+
+262
+00:23:49,720 --> 00:23:53,100
+مرسومية مرسومية مرسومية مرسومية مرسومية مرسومية
+
+263
+00:23:53,100 --> 00:23:54,620
+مرسومية مرسومية مرسومية مرسومية مرسومية مرسومية
+
+264
+00:23:54,620 --> 00:23:55,320
+مرسومية مرسومية مرسومية مرسومية مرسومية مرسومية
+
+265
+00:23:55,320 --> 00:24:00,420
+مرسومية مرسومية مرسومية مرسومية مرسومية مرسومية
+
+266
+00:24:00,420 --> 00:24:00,460
+مرسومية مرسومية مرسومية مرسومية مرسومية مرسومية
+
+267
+00:24:00,460 --> 00:24:02,820
+مرسومية مرسومية مرسومية مرسومية مرسومية مرسومية
+
+268
+00:24:06,250 --> 00:24:08,770
+البرفوان البرفوان البرفوان البرفوان البرفوان
+
+269
+00:24:08,770 --> 00:24:09,290
+البرفوان البرفوان البرفوان البرفوان البرفوان
+
+270
+00:24:09,290 --> 00:24:10,190
+البرفوان البرفوان البرفوان البرفوان البرفوان
+
+271
+00:24:10,190 --> 00:24:18,130
+البرفوان البرفوان البرفوان البرفوان البرفوان
+
+272
+00:24:18,130 --> 00:24:20,350
+البرفوان البرفوان البرفوان البرفوان البرفوان
+
+273
+00:24:20,350 --> 00:24:21,290
+البرفوان البرفوان البرفوان البرفوان البرفوان
+
+274
+00:24:21,290 --> 00:24:22,090
+البرفوان البرفوان البرفوان البرفوان البرفوان
+
+275
+00:24:22,090 --> 00:24:23,990
+البرفوان البرفوان البرفوان البرفوان البرفوان
+
+276
+00:24:23,990 --> 00:24:31,180
+البرفوان البرفوان البرفوان البرفوان البرفوتو 
+
+277
+00:24:31,180 --> 00:24:35,220
+ريسبتور في الهستامين وجدوا أنه في تو ريسبتور واحد
+
+278
+00:24:35,220 --> 00:24:38,680
+بيسموه H1 ريسبتور موجود على الـ smooth muscles
+
+279
+00:24:38,680 --> 00:24:43,940
+والارتباط فيه بيؤدي لـ construction and increase
+
+280
+00:24:43,940 --> 00:24:49,040
+vascular permeability طبعا construction of the
+
+281
+00:24:49,040 --> 00:24:52,180
+smooth muscles ولما بتشد الـ smooth muscle بيصير
+
+282
+00:24:52,180 --> 00:24:57,520
+في vascular permeability والـ H2 ريسبتور موجود في
+
+283
+00:24:57,520 --> 00:25:07,500
+الـ mucus secretion بشكل عام والارتباط اللي هي
+
+284
+00:25:07,500 --> 00:25:13,160
+الهستامين فيه بيعمل Vascular permeability و بيؤدي إلى
+
+285
+00:25:13,160 --> 00:25:20,700
+زيادة الـ HCL في الـ stomach و من الـ mycosal cell of
+
+286
+00:25:20,700 --> 00:25:23,300
+the stomach من الـ parietal cell of AS of the
+
+287
+00:25:23,300 --> 00:25:26,860
+stomach عشان
+
+288
+00:25:26,860 --> 00:25:37,160
+هي كان لما تشتغل على حموضة
+
+289
+00:25:37,160 --> 00:25:37,280
+مخلوق مخلوق مخلوق مخلوق مخلوق مخلوق مخلوق مخلوق
+
+290
+00:25:37,280 --> 00:25:37,300
+مخلوق مخلوق مخلوق مخلوق مخلوق مخلوق مخلوق مخلوق
+
+291
+00:25:37,300 --> 00:25:37,380
+مخلوق مخلوق مخلوق مخلوق مخلوق مخلوق مخلوق مخلوق
+
+292
+00:25:37,380 --> 00:25:37,620
+مخلوق مخلوق مخلوق مخلوق مخلوق مخلوق مخلوق مخلوق
+
+293
+00:25:37,620 --> 00:25:42,940
+مخلوق مخلوق مخلوق مخلوق مخلوق
+
+294
+00:25:42,940 --> 00:25:53,840
+مخلوق مخلوق مخلوق مخلوق مخلوق مخلوق مخلوق مخل
+
+295
+00:25:55,250 --> 00:26:02,090
+بينما الـ H2 ريسبتور مغلق من سيميتدين أنواع معينة
+
+296
+00:26:02,090 --> 00:26:05,690
+من الـ انتيهستامينك
+
+297
+00:26:05,690 --> 00:26:12,110
+لذلك يجب أن يكون هناك فرق ما بينهم سفاتنين مجرد
+
+298
+00:26:12,110 --> 00:26:19,530
+مدير انفلاماتوري يعمل زيه وزي الهستامين ثم الـ
+
+299
+00:26:19,530 --> 00:26:22,810
+cytokine وقلنا في مجموعة منهم عبارة عن
+
+300
+00:26:22,810 --> 00:26:29,090
+chemotactic factor زي DMCSF و الـ IL-5 و tumor
+
+301
+00:26:29,090 --> 00:26:33,790
+necrosis factor Alpha ثم الـ xenophilic chemotactic
+
+302
+00:26:33,790 --> 00:26:40,750
+factor و الـ platelet activating factor و الليكوترين
+
+303
+00:26:42,310 --> 00:26:46,170
+وقال تمانية كيموتاكسي of polymorphic nuclear
+
+304
+00:26:46,170 --> 00:26:50,670
+نتروفين كلها عبارة عن إيش؟ عبارة عن cytokine and
+
+305
+00:26:50,670 --> 00:26:54,850
+chemotactic factor which are released أيضا سواء
+
+306
+00:26:54,850 --> 00:26:59,070
+كانت performed on newly synthesized one هيبقى
+
+307
+00:26:59,070 --> 00:27:04,130
+اليمين أن هو عبارة عن acidic proteoglycan molecule
+
+308
+00:27:04,130 --> 00:27:09,500
+دوره يعني ما الانهيبشي إلا الـ coagulation ولا يوجد
+
+309
+00:27:09,500 --> 00:27:14,080
+دور في الانفلاكسيز اللي بيحصل الـ newly
+
+310
+00:27:14,080 --> 00:27:19,860
+synthesized قولنا الليكوترين وهذين هم متابلات من
+
+311
+00:27:19,860 --> 00:27:24,880
+الاردنك أسد بأنواع مختلفة الليكوترين بي فور سي فور
+
+312
+00:27:24,880 --> 00:27:30,200
+دي فور اي فور وهكذا شو بيعملوا هدولة لتسبب في
+
+313
+00:27:30,200 --> 00:27:31,600
+تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل
+
+314
+00:27:31,600 --> 00:27:33,360
+تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل
+
+315
+00:27:33,360 --> 00:27:33,400
+تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل
+
+316
+00:27:33,400 --> 00:27:35,500
+تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعمل تعم
+
+317
+00:27:36,090 --> 00:27:41,950
+والسبب هو الكثير من الانهيستامين المقاومة في البشر
+
+318
+00:27:41,950 --> 00:27:47,170
+هما بيؤدوا إلى ودود القزمة اللي لا يخلقها علاج
+
+319
+00:27:47,170 --> 00:27:51,010
+بيكون فيه مقاومة عند المريض
+
+320
+00:27:57,240 --> 00:27:58,700
+طبعا هؤلاء هم مصادر عملية عملية عملية عملية عملية
+
+321
+00:27:58,700 --> 00:28:01,120
+عملية عملية عملية عملية عملية عملية عملية عملية
+
+322
+00:28:01,120 --> 00:28:02,020
+عملية عملية عملية عملية عملية عملية عملية عملية
+
+323
+00:28:02,020 --> 00:28:05,020
+عملية عملية عملية عملية عملية عملية عملية عملية
+
+324
+00:28:05,020 --> 00:28:07,060
+عملية عملية عملية عملية عملية عملية عملية عملية
+
+325
+00:28:07,060 --> 00:28:07,320
+عملية عملية عملية عملية عملية عملية عملية عملية
+
+326
+00:28:07,320 --> 00:28:07,440
+عملية عملية عملية عملية عملية عملية عملية عملية
+
+327
+00:28:07,440 --> 00:28:07,480
+عملية عملية عملية عملية عملية عملية عملية عملية
+
+328
+00:28:26,370 --> 00:28:32,510
+و Vasodilator اللي يمكن أن يجعله يشكوك الـ Late
+
+329
+00:28:32,510 --> 00:28:39,790
+phase reaction قلنا بيحصل في خلال 48 ساعة ويستمر
+
+330
+00:28:39,790 --> 00:28:44,130
+في عدة أيام وهذه
+
+331
+00:28:44,130 --> 00:28:50,750
+الـ Mediators كلها بـ and their action هذه عبارة عن
+
+332
+00:28:50,750 --> 00:28:54,530
+muscles اللي صارت قامت with degranulation وقدت
+
+333
+00:28:54,530 --> 00:28:58,440
+الارليز Ovestamine, Serotonin, Heparin, Thromboxyl
+
+334
+00:28:58,440 --> 00:29:02,940
+-A2, Prostaglandin, Leucotrin, and Cytokine بتأثر
+
+335
+00:29:02,940 --> 00:29:05,460
+على الـ lymphocytes, macrophages, زنوفيل
+
+336
+00:29:05,460 --> 00:29:09,680
+ونيتروفيل. انظروا إلى ما يتأثر كل هذا. عن
+
+337
+00:29:09,680 --> 00:29:13,800
+نيتروفيل، كان هناك نيتروفيل كيموتاكتك فاكتور زي R8
+
+338
+00:29:13,800 --> 00:29:18,500
+طبعا محصلته كيموتاكسي لنيتروفيل وفاجو سايتوسيز
+
+339
+00:29:18,500 --> 00:29:23,060
+وطبعا دي جرانوليش لنيتروفيل بيؤدي لزيادة لازوزايم
+
+340
+00:29:23,060 --> 00:29:27,230
+الإنزايم والليكوترينو الـ Plated Activating Factor
+
+341
+00:29:27,230 --> 00:29:33,270
+ودول محصلتهم تشو دامج ثرمبوكسين
+
+342
+00:29:33,270 --> 00:29:39,170
+A2 وساعته كان آية لتلاتة أربع خمس وثلاثاشر مع
+
+343
+00:29:39,170 --> 00:29:43,430
+ازينوفيليك فاكتور كيموتاكتك فاكتور طبعا بيؤدي
+
+344
+00:29:43,430 --> 00:29:50,390
+الازينوفيل كيموتاكسي وايضا activation of ازينوفيل
+
+345
+00:29:50,390 --> 00:29:55,280
+و degranulation والمحاصلة ليكوترين بلتليت اكتفات
+
+346
+00:29:55,280 --> 00:30:01,680
+فاكتور هستامينيز اريل سالفيز والميجر باسيك بروتين
+
+347
+00:30:01,680 --> 00:30:10,080
+نيرو توكسن وهيل مانث توكسن المحاصلة تشو دامج طبعا
+
+348
+00:30:10,080 --> 00:30:15,900
+الـ both ايزينوفيل ونيتروفيل بيقدوا أو are brought
+
+349
+00:30:15,900 --> 00:30:23,010
+into close contact with antibody coated antigen via
+
+350
+00:30:23,010 --> 00:30:29,270
+Fc Receptor on these cells اللي هم Receptor للـ Fc
+
+351
+00:30:29,270 --> 00:30:34,410
+Epsilon Receptor ويتنتهين بيجوا وبتنشرطوا من خلال
+
+352
+00:30:34,410 --> 00:30:39,250
+ارتباط بالـ Receptors اللي على سطحهم Release of
+
+353
+00:30:39,250 --> 00:30:43,550
+cytokine زي 1,4,6 و Tumor Metabolosis Factor Beta
+
+354
+00:30:43,550 --> 00:30:48,150
+بيؤدي لها طبعا هذا الـ infiltration of T and B
+
+355
+00:30:48,150 --> 00:30:53,660
+lymphocyte and macrophage وهي التلاتة ومحصرتها
+
+356
+00:30:53,660 --> 00:30:58,660
+البرتوسايتوكايم روداكت و Antibody production و
+
+357
+00:30:58,660 --> 00:31:00,360
+مافي مافي مافي مافي مافي مافي مافي مافي مافي مافي
+
+358
+00:31:00,360 --> 00:31:01,160
+مافي مافي مافي مافي مافي مافي مافي مافي مافي مافي
+
+359
+00:31:01,160 --> 00:31:03,640
+مافي مافي مافي مافي مافي مافي مافي مافي مافي مافي
+
+360
+00:31:03,640 --> 00:31:06,760
+مافي مافي مافي مافي مافي مافي مافي مافي مافي مافي
+
+361
+00:31:06,760 --> 00:31:06,780
+مافي مافي مافي مافي مافي مافي مافي مافي مافي مافي
+
+362
+00:31:06,780 --> 00:31:08,060
+مافي مافي مافي مافي مافي مافي مافي مافي مافي مافي
+
+363
+00:31:08,060 --> 00:31:10,460
+مافي مافي مافي مافي مافي مافي مافي مافي مافي مافي
+
+364
+00:31:10,460 --> 00:31:18,720
+مافي مافي مافي مافي مافي مافي مافي مافي
+
+365
+00:31:18,720 --> 00:31:23,620
+ماذا طبعا إذا صار بيصير بعد يومين من الـ
+
+366
+00:31:23,620 --> 00:31:28,980
+sensitivity وإذا صار تأثيره بيقعد أيام بيقعدش ساعة
+
+367
+00:31:28,980 --> 00:31:36,520
+أو ساعتين طبعا هذا figure بيبين لنا how is the
+
+368
+00:31:36,520 --> 00:31:40,000
+induction and effect of the mechanism في الـ type
+
+369
+00:31:40,000 --> 00:31:45,120
+one هاي الـ antigen بيدخل من خلال الـ mucus membrane
+
+370
+00:31:45,120 --> 00:31:49,950
+تستقبله antigen presenting cell تعمل الـ processing
+
+371
+00:31:49,950 --> 00:32:00,870
+وتقدم الـ ريسبتور الـ ريسبتور الـ ريسبتور
+
+372
+00:32:00,870 --> 00:32:03,510
+الـ ريسبتور الـ ريسبتور الـ ريسبتور الـ ريسبتور الـ ريسبتور
+
+373
+00:32:03,510 --> 00:32:03,610
+الـ ريسبتور الـ ريسبتور الـ ريسبتور الـ ريسبتور الـ ريسبتور
+
+374
+00:32:03,610 --> 00:32:03,710
+الـ ريسبتور الـ ريسبتور الـ ريسبتور الـ ريسبتور الـ ريسبتور
+
+375
+00:32:03,710 --> 00:32:06,590
+الـ ريسبتور الـ ريسبتور الـ ريسبتور الـ ريسبتور الـ ريسبتور 
+
+376
+00:32:06,590 --> 00:32:17,570
+البرتورو البرتورو البرتورو البرتورو البرتورو
+
+377
+00:32:17,570 --> 00:32:22,920
+النولي سينتسايز طبعا بيصير فارمكولوجيكال إيفكت زي
+
+378
+00:32:22,920 --> 00:32:26,180
+blood vessel airway obstruction وcell infiltration
+
+379
+00:32:26,180 --> 00:32:31,220
+وطبعا أيضا بيصير فيه tissue damage نتيجة ال
+
+380
+00:32:31,220 --> 00:32:36,100
+inflammatory and cell chemotaxis and activation في
+
+381
+00:32:36,100 --> 00:32:40,800
+المراحل طبعا ال antigen ممكن directly يجي ويرتبط
+
+382
+00:32:40,800 --> 00:32:45,930
+على في المرة التانية اه يرتبط على ال muscle
+
+383
+00:32:45,930 --> 00:32:50,790
+الريزوفيل اللي جاعد على سطحها اللي هو antibody IgE
+
+384
+00:32:50,790 --> 00:32:56,590
+antibody واللي سميناها sensitized cell والمراحل
+
+385
+00:32:56,590 --> 00:33:00,030
+المختلفة الأولى antigen presentation ثم IgE
+
+386
+00:33:00,030 --> 00:33:04,010
+production ثم muscle degranulation ثم clinical
+
+387
+00:33:04,010 --> 00:33:07,890
+effect of
+
+388
+00:33:07,890 --> 00:33:13,700
+اللي هو re-exposure to the antigen هذه المراحل
+
+389
+00:33:13,700 --> 00:33:19,640
+المختلفة اللي بتمر فيها هذه ال .. اللي هو هذا
+
+390
+00:33:19,640 --> 00:33:27,620
+النوع من الحساسية طبعا هذه نفس الصورة طيب ال
+
+391
+00:33:27,620 --> 00:33:30,380
+clinical consequences of allergic reaction شوفوا
+
+392
+00:33:30,380 --> 00:33:34,120
+تبيعات ال allergic reaction كانوا بيصير في
+
+393
+00:33:34,120 --> 00:33:40,350
+allergic rhinitis وسمينها high fever أو طبعا إذا
+
+394
+00:33:40,350 --> 00:33:43,890
+كان دخل عن طريق الأشياء اللي هو أو food allergy
+
+395
+00:33:43,890 --> 00:33:50,190
+إذا كان أكلناها أو atopic dermatitis if there is
+
+396
+00:33:50,190 --> 00:33:58,330
+skin contact أو أزمة من خلال الأشياء الأرواح soul
+
+397
+00:33:58,330 --> 00:34:04,480
+طبعا هي الأنواع المختلفة اللي ممكن تصير هذه ممكن
+
+398
+00:34:04,480 --> 00:34:08,360
+تؤدي إلى anaphylactic shock، وanaphylactic shock يعني موت ممكن،
+
+399
+00:34:08,360 --> 00:34:11,880
+if untreated it can cause death clinical test
+
+400
+00:34:11,880 --> 00:34:17,300
+بيعملوا skin prick test وطبعا بياخدوا ميلوتر موته
+
+401
+00:34:17,300 --> 00:34:24,260
+بأنتيجين وبحقنه تحت الجلد وبيستنوا عليه تاني يوم
+
+402
+00:34:24,260 --> 00:34:27,910
+بيش .. وبيدوروا على ال wheel and flare response و
+
+403
+00:34:27,910 --> 00:34:32,150
+الـ wheel and flare هي عبارة عن redness وedema بتصير
+
+404
+00:34:32,150 --> 00:34:42,930
+خلال عشر إلى خمسة عشر دقيقة اه أنا بعرف الـ PK خلال
+
+405
+00:34:42,930 --> 00:34:49,090
+اللي هو أربع وعشرين ساعة ما علينا الـ wheel and flare
+
+406
+00:34:49,090 --> 00:34:50,190
+الـ wheel and flare الـ wheel and flare الـ wheel and flare الـ
+
+407
+00:34:50,190 --> 00:34:51,990
+wheel and flare الـ wheel and flare الـ wheel and flare الـ wheel and flare
+
+408
+00:34:51,990 --> 00:34:52,350
+wheel and flare الـ wheel and flare الـ wheel and flare الـ
+
+409
+00:34:52,350 --> 00:34:57,030
+wheel and flare بالطبع هذا الـ covalent coupling of
+
+410
+00:34:57,030 --> 00:35:02,690
+allergen to insoluble matrix بيكون quotient ماشي
+
+411
+00:35:02,690 --> 00:35:10,290
+الـ allergen بيبقى beads على سبيل المثال أو اللي هو
+
+412
+00:35:10,290 --> 00:35:15,090
+stick دب into a sample of patient serum حطها في
+
+413
+00:35:15,090 --> 00:35:20,010
+إيه؟ في patient serum allowed to bind specific
+
+414
+00:35:20,010 --> 00:35:26,390
+antibody for allergen بعد ذلك وش الـ stick اللي هو
+
+415
+00:35:26,390 --> 00:35:32,030
+radio labelled antibody specific for IgE is added
+
+416
+00:35:32,030 --> 00:35:37,290
+بعد ذلك the amount of radio activity bound is a
+
+417
+00:35:37,290 --> 00:35:41,270
+measure of the amount of specific IgE antibody in
+
+418
+00:35:41,270 --> 00:35:47,800
+the serum sample يعني هذه بيستخدموا فيها اللي هو لو
+
+419
+00:35:47,800 --> 00:35:54,040
+تخيلناها عبارة عن beads أو عبارة عن stick زي اللي
+
+420
+00:35:54,040 --> 00:36:04,000
+هو الـ pregnancy test ماشي بيكون الـ stick هذه عليها
+
+421
+00:36:04,000 --> 00:36:07,980
+الـ allergen عليها الـ allergen اللي هو الـ antigen
+
+422
+00:36:07,980 --> 00:36:13,570
+اللي بده يعمل حساسية نحطها في الـ patient serum عشان
+
+423
+00:36:13,570 --> 00:36:16,770
+ندور إذا كان في عنده antibody for that allergen
+
+424
+00:36:16,770 --> 00:36:20,990
+ونسيبها نديها فرصة إن الـ antibody يرتبط ليها بالـ
+
+425
+00:36:20,990 --> 00:36:24,490
+allergen اللي صار في antibody دي عادة ماسك في الـ
+
+426
+00:36:24,490 --> 00:36:30,090
+allergen إذا موجودة الـ antibody بعدين نضيف radio
+
+427
+00:36:30,090 --> 00:36:34,030
+labelled anti antibody يعني antibody specific for
+
+428
+00:36:34,030 --> 00:36:39,940
+the IgE ماشي إذا موجود الـ antibody ارتبط بيصير فيه
+
+429
+00:36:39,940 --> 00:36:45,900
+اللي هو الـ second antibody بده يرتبط فيه ويصير فيه
+
+430
+00:36:45,900 --> 00:36:51,360
+radio labeling هذه طبعا can be measured وبنشوف
+
+431
+00:36:51,360 --> 00:36:54,100
+اللي هو it will be proportional to the
+
+432
+00:36:54,100 --> 00:36:57,860
+concentration of IgE antibody in the serum sample
+
+433
+00:36:57,860 --> 00:37:03,980
+intervention environmental intervention
+
+434
+00:37:06,860 --> 00:37:13,980
+أفضل أن أقوم باستخدام الـ broncho
+
+435
+00:37:13,980 --> 00:37:18,620
+dilator الـ broncho dilator الـ broncho dilator الـ broncho dilator
+
+436
+00:37:18,620 --> 00:37:20,620
+dilator الـ broncho dilator الـ broncho dilator الـ broncho dilator
+
+437
+00:37:20,620 --> 00:37:21,060
+dilator الـ broncho dilator الـ broncho dilator الـ broncho dilator
+
+438
+00:37:21,060 --> 00:37:23,320
+dilator الـ broncho dilator الـ broncho dilator الـ broncho dilator
+
+439
+00:37:23,320 --> 00:37:24,440
+dilator الـ broncho dilator الـ broncho dilator الـ broncho dilator
+
+440
+00:37:24,440 --> 00:37:27,780
+dilator الـ broncho dilator
+
+441
+00:37:27,780 --> 00:37:31,520
+dilator الـ broncho dilator
+
+442
+00:37:31,520 --> 00:37:31,800
+dilator
+
+443
+00:37:34,580 --> 00:37:37,040
+هذه هي العلاجات اللي بتدخل immunological
+
+444
+00:37:37,040 --> 00:37:42,000
+intervention بيعملوا hypersensitization للمريض كي
+
+445
+00:37:42,000 --> 00:37:46,360
+بتتم هذه العملية by injecting the patient with
+
+446
+00:37:46,360 --> 00:37:50,580
+increasing doses of allergen شوية شوية بيعطوا أكثر
+
+447
+00:37:50,580 --> 00:38:01,190
+من dose of allergen للمريض بتحول الـ antibody لـ IgG
+
+448
+00:38:01,190 --> 00:38:06,790
+وبالتالي تخلص
+
+449
+00:38:06,790 --> 00:38:11,870
+الحساسية الـ neutral increase in level of IgG
+
+450
+00:38:11,870 --> 00:38:17,640
+followed by gradual decrease on continued therapy due
+
+451
+00:38:17,640 --> 00:38:21,520
+to induction of tolerance or to switch from Th2
+
+452
+00:38:21,520 --> 00:38:28,800
+to Th1 بيبقى اللي بيصير إنه زي زيادة في ال
+
+453
+00:38:28,800 --> 00:38:33,100
+concentration و IgG بتبعها من خلال الـ repeated
+
+454
+00:38:33,100 --> 00:38:37,740
+injection decrease in the concentration والسبب في
+
+455
+00:38:37,740 --> 00:38:43,520
+ذلك إما لأنه صار في tolerance لـ الـ antigen اللي
+
+456
+00:38:43,520 --> 00:38:48,740
+دخلاننا دخلنا بـ doses مختلفة أو إنه صار في
+
+457
+00:38:48,740 --> 00:38:54,340
+switching من مدالة Th2 لـ Th1 وبالتالي
+
+458
+00:38:54,340 --> 00:39:06,060
+صار في اللي هو بطل في IgE production الاستخدام
+
+459
+00:39:06,060 --> 00:39:11,440
+اللي هو immunized anti IgE monoclonal antibody وده
+
+460
+00:39:11,440 --> 00:39:19,180
+بيعمل التي لا تتعامل مع الـ IgE bound to mast and
+
+461
+00:39:19,180 --> 00:39:29,300
+basophils برضه هذا أحد الاستخدامات أو
+
+462
+00:39:29,300 --> 00:39:34,720
+use of cytokine which can shift from Th2 to Th
+
+463
+00:39:34,720 --> 00:39:42,760
+1 response أو استخدام Anti-Cytokine زي Anti-IL-4
+
+464
+00:39:42,760 --> 00:39:48,260
+IL-4 طبعا responsible for IgE production فبنعمل
+
+465
+00:39:48,260 --> 00:39:58,460
+class switching in B cell Anti-Cytokine و Cytokine
+
+466
+00:39:58,460 --> 00:40:04,770
+receptor antagonist بنعمل blocking للـ receptor أو
+
+467
+00:40:04,770 --> 00:40:07,470
+administration of chemically altered allergen
+
+468
+00:40:07,470 --> 00:40:11,630
+which suppress a primary or established IgE
+
+469
+00:40:11,630 --> 00:40:17,930
+response كيميائية كيميائية كيميائية كيميائية
+
+470
+00:40:17,930 --> 00:40:18,990
+كيميائية كيميائية كيميائية كيميائية كيميائية
+
+471
+00:40:18,990 --> 00:40:25,010
+كيميائية كيميائية
+
+472
+00:40:25,010 --> 00:40:25,590
+كيميائية كيميائية كيميائية كيميائية كيميائية
+
+473
+00:40:25,590 --> 00:40:26,290
+كيميائية كيميائية كيميائية كيميائية كيميائية
+
+474
+00:40:26,290 --> 00:40:26,310
+كيميائية كيميائية كيميائية كيميائية كيميائية
+
+475
+00:40:26,310 --> 00:40:29,030
+كيميائية كيميائية كيميائية كيميائية كيميائية
+
+476
+00:40:29,030 --> 00:40:33,230
+كيميائية كيميائية كيميائية كيميائية كيميائية ك
+
+477
+00:40:34,770 --> 00:40:40,610
+بأكثر من طريقة ممكن يستخدموها to treat this
+
+478
+00:40:40,610 --> 00:40:46,590
+patient الـ protective دور لـ IgE هو برعا protective
+
+479
+00:40:46,590 --> 00:40:51,470
+إلا إنه هنا هو أمل أن ده مشاكل طبعا الـ response to
+
+480
+00:40:51,470 --> 00:40:56,470
+many parasitic war favor the induction of IgE his
+
+481
+00:40:56,470 --> 00:40:58,530
+to mean another mediator associated with
+
+482
+00:40:58,530 --> 00:41:02,930
+anaphylactic response يتم إطلاقها في إجارة الـ
+
+483
+00:41:02,930 --> 00:41:07,230
+worm، الـ antigen، الـ cross-linking، الـ IgE، على
+
+484
+00:41:07,230 --> 00:41:13,330
+الخلايا الـ mast والـ basophil والـ eosinophil. طبعا
+
+485
+00:41:13,330 --> 00:41:18,410
+الارتباط بيؤدي إلى زيادة الـ permeability، بسبب
+
+486
+00:41:18,410 --> 00:41:25,850
+استعمال الـ release، وهذا بيؤدي إلى الـ IgE
+
+487
+00:41:25,850 --> 00:41:28,790
+-Antibody في موقع الـ worm infestation.
+
+488
+00:41:40,310 --> 00:41:44,150
+الإيوسينوفيل مرتبط بالعضلات الـ IgG والعضلات IgG
+
+489
+00:41:44,150 --> 00:41:46,530
+مرتبط بالعضلات IgG والعضلات IgG مرتبط بالعضلات IgG
+
+490
+00:41:46,530 --> 00:41:49,570
+والعضلات IgG
+
+491
+00:41:49,570 --> 00:41:49,790
+مرتبط بالعضلات IgG والعضلات IgG مرتبط بالعضلات IgG
+
+492
+00:41:49,790 --> 00:41:50,330
+والعضلات IgG مرتبط بالعضلات IgG والعضلات IgG مرتبط
+
+493
+00:41:50,330 --> 00:41:50,430
+بالعضلات IgG مرتبط بالعضلات IgG مرتبط بالعضلات IgG
+
+494
+00:41:50,430 --> 00:41:52,550
+مرتبط بالعضلات IgG مرتبط بالعضلات IgG مرتبط
+
+495
+00:41:52,550 --> 00:41:59,770
+بالعضلات IgG مرتبط بالعضلات IgG مرتبط بالعضلات IgG
+
+496
+00:41:59,770 --> 00:42:03,570
+مرتبط بالعضلات IgG مرتبط بالعضل
+
+497
+00:42:06,920 --> 00:42:12,540
+contact وطبعا هذا يجعل الانتجار
+
+498
+00:42:12,540 --> 00:42:15,620
+الانتباهي على سطح الـ worm وهذا بنشتت complement
+
+499
+00:42:15,620 --> 00:42:21,460
+وبالتالي يتخلص من الـ worm نبدأ لو لخصنا هذه العملية
+
+500
+00:42:21,460 --> 00:42:26,480
+هم يقولوا إن الهيستامين وآخر مدياترين شو بيعملوا؟ 
+
+501
+00:42:26,480 --> 00:42:29,120
+يقولوا بيعملوا anaphylactic shock شو السبب؟ يقولوا
+
+502
+00:42:29,120 --> 00:42:34,630
+بيصير فيه زيادة طبعا يوم ما تخش الـ worm ماشي هيصير
+
+503
+00:42:34,630 --> 00:42:38,630
+في IgE الـ cross linking على سطح الـ muscle
+
+504
+00:42:38,630 --> 00:42:42,110
+والبيزوفيل فهيصير في degradation و IgE وهستامين
+
+505
+00:42:42,110 --> 00:42:49,690
+ومجموعته طبعا بالإضافة إلى الـ IgG الهستامين الريليز
+
+506
+00:42:49,690 --> 00:42:53,250
+مصير في IgG Antibody production في منطقة الحدث
+
+507
+00:42:53,250 --> 00:42:57,150
+طبعا الـ IgG بالمناسبة اللي هو الـ receptor على سطح
+
+508
+00:42:57,150 --> 00:43:03,070
+الإيوزينوفيل نتيجة أيضًا الـ chemotactic 
+
+509
+00:43:03,070 --> 00:43:12,990
+factor اللي بتفرز بتصل إلى منطقة الـ worm و بتطبط
+
+510
+00:43:12,990 --> 00:43:19,810
+فيه من خلال الـ IgG receptor اللي على سطحها اللي
+
+511
+00:43:19,810 --> 00:43:25,970
+already بيكون ماسك في الـ worm وبالتالي صار في
+
+512
+00:43:25,970 --> 00:43:30,290
+الإيوزينوفيل ماسك بالـ worm من خلال من خلال
+
+513
+00:43:30,290 --> 00:43:33,730
+الـ IgG Antibody فبالتالي بتعمل Degranulation
+
+514
+00:43:33,730 --> 00:43:40,190
+وبتعمل التخلص من الـ Parasites لازم في الـ Express
+
+515
+00:43:40,190 --> 00:43:47,090
+Low Affinity to FC Receptor by IgE وطبعا هذا بيؤدي
+
+516
+00:43:47,090 --> 00:43:54,030
+إلى ارتباط of these cells أو أي cells على سطح IgE
+
+517
+00:43:54,030 --> 00:43:59,830
+antibody IgE بيكون قاعد على سطح مين؟ على سطح الـ
+
+518
+00:43:59,830 --> 00:44:06,530
+worm الـ major basic protein released by eosinophilic
+
+519
+00:44:06,530 --> 00:44:12,870
+granules تعمل كوتينج لـ Surface of worm وهذا بيؤدي
+
+520
+00:44:12,870 --> 00:44:20,330
+إلى الـ death of worm and its eventual explosion
+
+521
+00:44:20,330 --> 00:44:26,210
+from the body. All component of type 1 reaction
+
+522
+00:44:26,210 --> 00:44:31,270
+combine to perform this protective function كلها
+
+523
+00:44:31,270 --> 00:44:36,490
+beneficial effects suggest that the wide range of
+
+524
+00:44:36,490 --> 00:44:41,520
+response الذي يتعلق بالانتباد الـ IgE قد يتعلق
+
+525
+00:44:41,520 --> 00:44:48,420
+باستخدام تجارب الانتباد الهرموني يعني الجانب
+
+526
+00:44:48,420 --> 00:44:52,380
+الحسن في هذا النوع من في إفراز أو في تكوين
+
+527
+00:44:52,380 --> 00:44:59,700
+الانتباد أنه it can نقدر نتخلص من أنه it's
+
+528
+00:44:59,700 --> 00:45:04,580
+released during worm infestation وبالتالي يوم ما
+
+529
+00:45:06,190 --> 00:45:12,710
+يفرز في وجود parasites المحصلة من خلص أو تخلص من
+
+530
+00:45:12,710 --> 00:45:19,350
+الـ parasites وهي
+
+531
+00:45:19,350 --> 00:45:29,830
+طبعا هاي ميوكوزا الـ membrane دخل الـ worm ماشي و
+
+532
+00:45:29,830 --> 00:45:30,350
+طبعا
+
+533
+00:45:34,660 --> 00:45:40,820
+دخل الـ Antigen تبعه لجهة
+
+534
+00:45:40,820 --> 00:45:48,620
+IgE موجودة على سطح الخلايا وأيضًا بيزيد في وجود الـ
+
+535
+00:45:48,620 --> 00:45:52,720
+worm فهي انتبهت بالـ Antigen تبع الـ worm قد أدى إلى
+
+536
+00:45:52,720 --> 00:45:56,940
+نشاطه فصار فيه Degradation من ضمنها الهستامين
+
+537
+00:45:58,530 --> 00:46:02,970
+الإيوزينوفيل كيموتاكتك فاكتر ونيتروفيل كيموتاكتك
+
+538
+00:46:02,970 --> 00:46:07,850
+فاكتر طبعًا كلهم بيصلوا إلى منطقة الحدث هبيزودوا
+
+539
+00:46:07,850 --> 00:46:13,030
+بيزيد الـ permeability to
+
+540
+00:46:13,030 --> 00:46:18,670
+IgG and white blood cell تبدأ تطلع هذه الـ antibody
+
+541
+00:46:18,670 --> 00:46:22,170
+مرة
+
+542
+00:46:22,170 --> 00:46:27,380
+ثانية من الـ mucosal membrane على الـ worm بترتبط بال
+
+543
+00:46:27,380 --> 00:46:32,580
+worm وبتيجي الـ neutrophil والـ eosinophil بترتبط
+
+544
+00:46:32,580 --> 00:46:38,660
+بالـ antibody من خلال الـ FC portion وبتخلصنا من الـ
+
+545
+00:46:38,660 --> 00:46:47,080
+Parasites هذا تلخيص لكيف بيتم التخلص من الـ parasites
+
+546
+00:46:47,080 --> 00:46:52,380
+مرة ثانية هي الـ parasites بيخش من خلال الـ mucosal
+
+547
+00:46:52,380 --> 00:46:57,060
+membrane اللي هو الـ antigen أو الـ parasites بناء
+
+548
+00:46:57,060 --> 00:47:04,160
+في التشوعة أو في الـ intestine ماشي فبتتلقف وطبعا
+
+549
+00:47:04,160 --> 00:47:08,340
+برتبط
+
+550
+00:47:08,340 --> 00:47:15,090
+بالـ على سطح العضلة بيصير فيه Degranulation بيصير
+
+551
+00:47:15,090 --> 00:47:18,170
+فيه Release لـ eosinophil chemotactic factor لنيتروفيل
+
+552
+00:47:18,170 --> 00:47:23,650
+ونيتروفيل بيصلوا بيزيدوا في منطق طبعا في الـ blood
+
+553
+00:47:23,650 --> 00:47:26,990
+vessels طبعا هذا بيزيد الـ permeability فبتطلعوا
+
+554
+00:47:26,990 --> 00:47:33,360
+برا هو الـ IgE/IgG Antibody اللي بيطلع طبعا ما زال
+
+555
+00:47:33,360 --> 00:47:37,320
+صار في increase للـ permeability عملتها برا وبرتبط بيهاش بال
+
+556
+00:47:37,320 --> 00:47:41,080
+worm طبعا هاي الـ antibody ارتبط بالـ worm من خلال
+
+557
+00:47:41,080 --> 00:47:45,080
+الـ fabrication اللي فالت الـ FC portion له receptor
+
+558
+00:47:45,080 --> 00:47:49,940
+على سطح الـ eosinophil والـ neutrophil اللي بيتنشطوا
+
+559
+00:47:49,940 --> 00:47:53,460
+بيترتبطوا و بيتنشطوا و بيعملوا degradation و
+
+560
+00:47:53,460 --> 00:48:00,180
+بيخلصونا من الهاش من الـ worm هذا النوع الأول من
+
+561
+00:48:00,180 --> 00:48:06,140
+الحساسية النوع الثاني هو الـ antibody which is also
+
+562
+00:48:06,140 --> 00:48:11,220
+antibody mediated cytotoxic
+
+563
+00:48:11,220 --> 00:48:12,040
+reaction
diff --git a/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/ZBIIfkK9UEc.srt b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/ZBIIfkK9UEc.srt
new file mode 100644
index 0000000000000000000000000000000000000000..147f87dd20ffd53fca248be79cbe8b0e895ff93d
--- /dev/null
+++ b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/ZBIIfkK9UEc.srt
@@ -0,0 +1,795 @@
+1
+00:00:01,740 --> 00:00:08,940
+بسم الله الرحمن الرحيم محاضرتنا اليوم هتحكي على ال
+
+2
+00:00:08,940 --> 00:00:17,600
+immunogen و ال antigen تعريفات و خصائص و بعض 
+
+3
+00:00:17,600 --> 00:00:24,400
+النقاط المهمة اللي لازم نتطرق ليها بشكل عام أي مادة
+
+4
+00:00:24,400 --> 00:00:35,770
+ده تستطيع أن تحفظ ال response is referred to as
+
+5
+00:00:35,770 --> 00:00:42,930
+antigen or immunogen بشكل عام أي مادة evokes تحفظ 
+
+6
+00:00:42,930 --> 00:00:46,950
+ال response is referred to as antigen or immunogen
+
+7
+00:00:46,950 --> 00:00:52,950
+الفرق بين الاتنين أن ال antigen هو عبارة عن أي 
+
+8
+00:00:52,950 --> 00:00:58,620
+مادة أي agent that is capable specifically to bind
+
+9
+00:00:58,620 --> 00:01:03,220
+with بيرتبط مع مكونات ال immune response زي ال PCR
+
+10
+00:01:03,220 --> 00:01:08,500
+أو ال BCL أو ال antibody بينما ال immunogen هو أي 
+
+11
+00:01:08,500 --> 00:01:14,920
+مادة تستطيع أن تحفظ جهاز المناعة وتنتج ال immune
+
+12
+00:01:14,920 --> 00:01:19,640
+response يبقى ال antigen فقط يرتبط بمكونات ال
+
+13
+00:01:19,640 --> 00:01:22,980
+immune response ولكنه لا يحفظ ال antibody ال
+
+14
+00:01:22,980 --> 00:01:27,440
+immune response بينما ال immunogen يستطيع أن يحفظ ال
+
+15
+00:01:27,440 --> 00:01:31,440
+immune response وبالتالي كل immunogen هو عبارة عن
+
+16
+00:01:31,440 --> 00:01:38,880
+antigen لكن ليس العكس و vice versa الـ hapten مصطلح آخر هو
+
+17
+00:01:38,880 --> 00:01:45,040
+عبارة عن مادة صغيرة by itself it is incapable of
+
+18
+00:01:45,040 --> 00:01:51,640
+inducing immune response لكن يوم ما يرتبط بمادة
+
+19
+00:01:51,640 --> 00:01:58,110
+أخرى نسموها carrier بيكبر وبالتالي يستطيع أن يحفظ
+
+20
+00:01:58,110 --> 00:02:02,050
+جهاز المناعة وطبعا ال antibody اللي بيتكون في هذه
+
+21
+00:02:02,050 --> 00:02:04,970
+الحالة يستطيع أن يتفاعل مع ال carrier ومع ال
+
+22
+00:02:04,970 --> 00:02:12,010
+hapten itself requirement for immunogenicity
+
+23
+00:02:12,010 --> 00:02:18,550
+يعني ال immunogenicity يعني إلى العوامل التي تؤدي
+
+24
+00:02:18,550 --> 00:02:22,150
+لما واحد ال antigen أو immunogen should be foreign
+
+25
+00:02:23,220 --> 00:02:27,240
+و ال foreign طبعا بشكل عام أي إنسان ما فيش أن 
+
+26
+00:02:27,240 --> 00:02:31,680
+الواحد 
+
+27
+00:02:31,680 --> 00:02:37,840
+يتعامل مع ال self-antigen تبعته مع ال self-antigen
+
+28
+00:02:37,840 --> 00:02:44,660
+تبعته وكل ما كانت ال مادة ال agent اللي دخل
+
+29
+00:02:44,660 --> 00:02:48,160
+foreign كل ما كان more immunogenic
+
+30
+00:02:50,760 --> 00:02:53,840
+طبعا في exceptional case في هذه الحالة في حالة ال
+
+31
+00:02:53,840 --> 00:02:57,440
+autoimmunity أن بعض المرات بيصير فيه اللي هو
+
+32
+00:02:57,440 --> 00:03:09,260
+antibody تتفاعل مع self-antigen أو تتفاعل مع his
+
+33
+00:03:09,260 --> 00:03:15,840
+or her own tissue صفة ثانية لل immunogenicity ال
+
+34
+00:03:17,170 --> 00:03:19,670
+و الـ high molecular weight المفروض كالآتي هو
+
+35
+00:03:19,670 --> 00:03:22,710
+إذا المادة أقل من 100 دالتون زي البنسالين
+
+36
+00:03:22,710 --> 00:03:26,730
+والاسبرين و البروجسترون فهي ليست إيمونوجينية لكن
+
+37
+00:03:26,730 --> 00:03:31,330
+لو كانت المادة ما بين ألف لستة آلاف زي الانسولين و
+
+38
+00:03:31,330 --> 00:03:38,850
+LCTH هرمون they are or not they may or may not be
+
+39
+00:03:38,850 --> 00:03:42,820
+إيمونوجينية ويوم ما يكونوا فوق الستة آلاف دالتون
+
+40
+00:03:42,820 --> 00:03:45,960
+موليكيلار ويت زي الالبومين it's generally
+
+41
+00:03:45,960 --> 00:03:50,080
+immunogenic يبقى أول صفة ال foreignness و ثاني صفة
+
+42
+00:03:50,080 --> 00:03:52,880
+الـ high molecular weight ثالث صفة ال chemical
+
+43
+00:03:52,880 --> 00:03:57,240
+complexity يعني كل ما كان ال molecule more complex
+
+44
+00:03:57,240 --> 00:04:02,970
+and not homopolymer وإنما هو copolymer كل ما كان
+
+45
+00:04:02,970 --> 00:04:09,730
+جيد إيمونوجين و مثال
+
+46
+00:04:09,730 --> 00:04:12,750
+على ذلك على سبيل المثال البولي جلوتاميك العشوائي
+
+47
+00:04:12,750 --> 00:04:20,930
+الليسين to be highly immunogenic الـ degradability
+
+48
+00:04:20,930 --> 00:04:26,830
+should be capable of degradation أيش يعني قال
+
+49
+00:04:26,830 --> 00:04:30,830
+الانتجين اللي بيستطيع أن ينشط تيلينفسايد ويعمل
+
+50
+00:04:30,830 --> 00:04:34,770
+immune response لابد أن يتفاعل مع antigen
+
+51
+00:04:34,770 --> 00:04:37,330
+presenting cell شو بتعمل antigen presenting cell
+
+52
+00:04:37,330 --> 00:04:42,050
+تاخده وبتعمل antigen processing بتشجفه وبتقطعه
+
+53
+00:04:42,050 --> 00:04:48,810
+by enzymatic degradation ثم بيطلع
+
+54
+00:04:48,810 --> 00:04:52,110
+على سطح ال antigen presenting cell مرتبط بالـ MHC
+
+55
+00:04:52,110 --> 00:04:56,250
+molecule الشيء اللي طلع هو الـ Epitopes من هذا
+
+56
+00:04:56,250 --> 00:05:00,870
+الانتجن مرتبط بمين؟ بالـ MHC موليكيول هذه الـ
+
+57
+00:05:00,870 --> 00:05:05,410
+Epitopes تستميل وتشغّل اتفاق كلون الـ antigen الخاص
+
+58
+00:05:05,410 --> 00:05:12,250
+بالـ effector T-cell طبعا في بعض البروتينة أو
+
+59
+00:05:12,250 --> 00:05:19,150
+الامينو اسيد اللي مقاومة لتحليل الانزيماتيكي فهي
+
+60
+00:05:19,150 --> 00:05:24,930
+ليست إيمونوجينية زي الـ D-Configuration Amino
+
+61
+00:05:24,930 --> 00:05:30,610
+Acids الـ D-Configuration Amino Acids الـ D
+
+62
+00:05:30,610 --> 00:05:34,550
+-Configuration 
+
+63
+00:05:34,550 --> 00:05:36,930
+Amino Acids الـ D-Configuration Amino Acids الـ D
+
+64
+00:05:36,930 --> 00:05:37,050
+-Configuration Amino Acids الـ D-Configuration
+
+65
+00:05:37,050 --> 00:05:37,130
+Amino Acids الـ D-Configuration Amino Acids الـ D
+
+66
+00:05:37,130 --> 00:05:37,170
+-Configuration Amino Acids الـ D-Configuration
+
+67
+00:05:37,170 --> 00:05:37,530
+Amino Acids الـ D-Configuration Amino Acids الـ D
+
+68
+00:05:37,530 --> 00:05:37,670
+-Configuration Amino Acids الـ D-Configuration
+
+69
+00:05:37,670 --> 00:05:40,270
+Amino Acids الـ D-Configuration Amino Acids الـ D
+
+70
+00:05:40,270 --> 00:05:41,910
+-Configuration Amino Acids الـ D-Configuration
+
+71
+00:05:41,910 --> 00:05:50,470
+Amino Acids الـ D-Configuration Amino Acids الـ D
+
+72
+00:05:50,470 --> 00:05:52,310
+-Configuration Amino Acids الـ
+
+73
+00:06:01,660 --> 00:06:08,300
+الجينات التي تصنع هذا الانتجن أو الانتجن برودكت
+
+74
+00:06:08,300 --> 00:06:13,720
+هو مختلف من واحد شخص لواحد آخر الـ برودكت أو الانتجن
+
+75
+00:06:13,720 --> 00:06:15,520
+البرودكت هو مختلف من واحد شخص لواحد آخر البرودكت
+
+76
+00:06:15,520 --> 00:06:22,080
+أو الانتجن برودكت هو مختلف
+
+77
+00:06:22,080 --> 00:06:25,660
+من واحد شخص لواحد آخر Dosage and Route of
+
+78
+00:06:25,660 --> 00:06:31,140
+Administration ببساطة يقولوا خدوا في عين الاعتبار
+
+79
+00:06:31,140 --> 00:06:34,900
+هذه القواعد لما نكون repeated administration
+
+80
+00:06:34,900 --> 00:06:40,120
+للانتجن يعني نضل ندخل انتجن على مرات متتالية بيصير
+
+81
+00:06:40,120 --> 00:06:44,120
+فيه strong immune response لكن إذا كان دخلنا انتجن
+
+82
+00:06:44,120 --> 00:06:49,660
+بكميات قليلة غالبا ال immune responses will not be
+
+83
+00:06:49,660 --> 00:06:54,660
+activated ولا هتتنشط اللمفوسايت وفي هذه الحالة
+
+84
+00:06:54,660 --> 00:06:59,960
+بيحصل توليرانس وليس أي immunoresponse سابقا
+
+85
+00:06:59,960 --> 00:07:04,040
+كتير نسبي يعني صار في administration و antigen
+
+86
+00:07:04,040 --> 00:07:10,500
+سابقا كتير نسبي هذه أكثر ال routes immunogenicity
+
+87
+00:07:10,500 --> 00:07:13,940
+لأن أو المداخل immunogenicity لأن ال
+
+88
+00:07:13,940 --> 00:07:20,680
+antigen presenting cell قاعدة تحتها تحت ليش؟ بالتالي
+
+89
+00:07:20,680 --> 00:07:25,700
+تتلقى في الانتجين وبتعمله تكسير لأن هذا ال
+
+90
+00:07:25,700 --> 00:07:28,940
+processor present antigen to effector cell طبيعي
+
+91
+00:07:28,940 --> 00:07:35,160
+إذا دخل الانتجين through IV يعني intravenous
+
+92
+00:07:35,160 --> 00:07:44,660
+administration فهيروح للدم وهنا ممكن يعمل
+
+93
+00:07:44,660 --> 00:07:45,340
+tolerance
+
+94
+00:07:49,360 --> 00:07:54,120
+أو أنه إذا واجه antigen-presenting cell ممكن يعمل
+
+95
+00:07:54,120 --> 00:07:57,360
+immune response إنما في الغالب بيضعف ال tolerance
+
+96
+00:07:57,360 --> 00:08:01,840
+إذا كان عن طريق subcutaneously في ال ... sorry
+
+97
+00:08:01,840 --> 00:08:07,840
+intravenously ال antigen يستخدم ال tract برضه هو 
+
+98
+00:08:07,840 --> 00:08:12,580
+عبارة عن route that
+
+99
+00:08:12,580 --> 00:08:15,620
+produce systemic state of tolerance
+
+100
+00:08:18,200 --> 00:08:22,660
+إلا أنه ممكن يعمل الـ Local Antibody Production في
+
+101
+00:08:22,660 --> 00:08:28,100
+منطقة الانتستنال Lamina Propria لكن في الغالب يعمل
+
+102
+00:08:28,100 --> 00:08:33,100
+توليرانس Administration of Antigen via Intranasal
+
+103
+00:08:33,100 --> 00:08:39,300
+or Respiratory Route عادة بيعمل allergic reaction
+
+104
+00:08:39,300 --> 00:08:42,640
+Antigenicity
+
+105
+00:08:42,640 --> 00:08:47,820
+و Antigen Binding Sites الـ immune response induced
+
+106
+00:08:47,820 --> 00:08:52,180
+by antigen usually generate antibody أو المحصلة
+
+107
+00:08:52,180 --> 00:08:56,760
+lymphocyte that react specifically with the
+
+108
+00:08:56,760 --> 00:09:00,460
+antigen الـ portion
+
+109
+00:09:00,460 --> 00:09:03,080
+مليئة الارتباط ما بين ال antigen و ال antibody
+
+110
+00:09:03,080 --> 00:09:09,460
+بتتم من خلال Epitopes على سطح ال antigen ومنطقة في
+
+111
+00:09:09,460 --> 00:09:14,300
+ال antibody بتحتوي على several hyper variable
+
+112
+00:09:14,300 --> 00:09:19,920
+region في الطرف في منطقة الفاب وهذه المنطقة الـ
+
+113
+00:09:19,920 --> 00:09:23,560
+hyper variable region تحتوي على ثلاث مناطق أساسية
+
+114
+00:09:23,560 --> 00:09:27,800
+بيسموها complementary determining region حجم ال
+
+115
+00:09:27,800 --> 00:09:35,460
+Epitopes اللي بيرتبط بالـ CDR غالبا بيكون من خمسة لسبعة
+
+116
+00:09:35,460 --> 00:09:42,280
+amino acids إذا كان ال Epitopes تماما لاتناشر amino
+
+117
+00:09:42,280 --> 00:09:49,790
+acids الارتباط بيكون non-covalent وغالبا بتكون 
+
+118
+00:09:49,790 --> 00:09:53,630
+Tertiary complex اللي هو ال antigen presenting cell
+
+119
+00:09:53,630 --> 00:09:57,690
+و اللي عملشي موليكيول و اللي بيطول اللي هو ال
+
+120
+00:09:57,690 --> 00:10:04,450
+antigen ال
+
+121
+00:10:04,450 --> 00:10:08,850
+number of classes of antigen يعني ال number واحد
+
+122
+00:10:08,850 --> 00:10:14,540
+polysaccharides وهذه غالبا لا تكون إيمونوجينية إلا
+
+123
+00:10:14,540 --> 00:10:21,320
+إذا كانت مرتبطة بالبروتين وبالتالي في هذه الحالة
+
+124
+00:10:21,320 --> 00:10:27,800
+بيصير جلايكوبروتين لذلك يعتبر جيد إيمونوجينيك مع
+
+125
+00:10:27,800 --> 00:10:31,160
+طبعا ال exceptional case في هذه الحالة هي عبارة عن
+
+126
+00:10:31,160 --> 00:10:37,100
+الـ ABO blood group are polysaccharide يعني فقط
+
+127
+00:10:37,100 --> 00:10:40,390
+polysaccharide وهي موجودة على سطح كرات الدم
+
+128
+00:10:40,390 --> 00:10:45,970
+الحمراء and they are extremely and a good example
+
+129
+00:10:45,970 --> 00:10:52,970
+for antigenicity للبوليساكرايد in lipids بشكل عام
+
+130
+00:10:52,970 --> 00:10:57,790
+they are rarely immunogenic لليبوبروتين  عندما ترتبط
+
+131
+00:10:57,790 --> 00:11:04,570
+ببروتين أو glycolipid they are immunogenic nucleic
+
+132
+00:11:04,570 --> 00:11:10,450
+acid by themselves They are poor immunogens لكن عندما 
+
+133
+00:11:10,450 --> 00:11:13,830
+يرتبطوا ببروتين نوكليوبروتين They are good
+
+134
+00:11:13,830 --> 00:11:18,190
+immunogens في حدث الأسئلة E على سبيل المثال Anti
+
+135
+00:11:18,190 --> 00:11:23,310
+-DNA antibody are formed يعني ضد النوكليوبروتين
+
+136
+00:11:23,310 --> 00:11:29,250
+بروتين  All proteins قاعدة عامة are immunogenic
+
+137
+00:11:29,250 --> 00:11:35,450
+Complex proteins are more immunogenic لأنه يحتوي على
+
+138
+00:11:35,450 --> 00:11:41,290
+multiple epitopes بمصطلح الـ cross reactivity طبعا
+
+139
+00:11:41,290 --> 00:11:45,430
+أحسن تشبيه له هو التكسين والتكسويد ما هو التكسين
+
+140
+00:11:45,430 --> 00:11:48,750
+والتكسويد؟ قلتها زي بعض بس التكسويد هو عبارة عن
+
+141
+00:11:48,750 --> 00:11:52,870
+التكسين الذي انُسلت سمّيته لكن الـ immunogenicity
+
+142
+00:11:52,870 --> 00:11:59,150
+still there يعني موجودة الـ immunogenicity is there
+
+143
+00:11:59,150 --> 00:12:05,650
+لكن الـ toxicity is removed يسمّون هذه المادة تكسويد
+
+144
+00:12:06,300 --> 00:12:12,420
+بالطبع في هذه الحالة التكسويد يمكن أن يتعامل مع التكسويد
+
+145
+00:12:12,420 --> 00:12:13,160
+بشكل عميق 
+
+146
+00:12:13,160 --> 00:12:13,360
+بشكل عميق 
+
+147
+00:12:13,360 --> 00:12:16,480
+بشكل عميق
+
+148
+00:12:16,480 --> 00:12:20,880
+بشكل عميق 
+
+149
+00:12:20,880 --> 00:12:23,800
+بشكل عميق
+
+150
+00:12:23,800 --> 00:12:28,900
+بشكل عميق
+
+151
+00:12:28,900 --> 00:12:32,560
+بشكل عميق
+
+152
+00:12:32,560 --> 00:12:41,170
+بشكل عميق بالتي تسمى كالترميز
+
+153
+00:12:41,170 --> 00:12:45,910
+الهومولوجز أو الهيتيرولوجز يعني عندما الانتيجن الذي 
+
+154
+00:12:45,910 --> 00:12:53,250
+نستخدمه  لعمل immunization يختلف عن الذي بده
+
+155
+00:12:53,250 --> 00:12:58,610
+يعمل immune response نستخدم الـ الهومولوجز أو
+
+156
+00:12:58,610 --> 00:13:05,400
+الهيتيرولوجزالهومولوجس يعني أن الانتيجن و
+
+157
+00:13:05,400 --> 00:13:09,640
+الاميونوجين يختلفان في هذه الحالة لكن الهيتيرولوجس
+
+158
+00:13:09,640 --> 00:13:13,760
+الانتيجن والاميونوجين يختلفان في هذه الحالة لكن
+
+159
+00:13:13,760 --> 00:13:16,220
+في هذه الحالة لكن الهيتيرولوجس الانتيجن
+
+160
+00:13:16,220 --> 00:13:21,140
+والاميونوجين يختلفان في هذه الحالة لكن الهيتيرولوجس
+
+161
+00:13:21,140 --> 00:13:26,500
+الانتيجن والاميونوجين يختلفان في هذه الحالة لكن
+
+162
+00:13:26,500 --> 00:13:28,900
+الهيتيرولوجس الاميونوجين يختلف في هذه الحالة لكن
+
+163
+00:13:28,900 --> 00:13:31,230
+الهيتيرولوجس الاميونوجين يختلف في هذه الحالة Cross
+
+164
+00:13:31,230 --> 00:13:39,330
+-reacting substance are
+
+165
+00:13:39,330 --> 00:13:44,210
+unrelated to each other في بعض الـ cross-reacting
+
+166
+00:13:44,210 --> 00:13:49,810
+material لا تتشابه لا تتعلق ببعض that they have one
+
+167
+00:13:49,810 --> 00:13:52,830
+or more epitopes in common كل اللي هناك أنه فيه
+
+168
+00:13:52,830 --> 00:14:00,190
+أكثر من واحد من الـ Epitopes is shared or common في
+
+169
+00:14:00,190 --> 00:14:05,650
+هذه الحالة الوضع يسمى هيتيروفيليك انتيجين وأحسن
+
+170
+00:14:05,650 --> 00:14:11,990
+مثال عليها اللي هو blood group B antigen هم
+
+171
+00:14:11,990 --> 00:14:16,330
+يتفاعلون مع الـ antibody لجزء من أسلوب الإيكولايم
+
+172
+00:14:16,330 --> 00:14:21,530
+الـ antigen من الميكروب أو كائن حي يسمى هيتيروفيليك
+
+173
+00:14:21,530 --> 00:14:26,150
+انتيجين بالنسبة لمعنى blood group antigen
+
+174
+00:14:32,570 --> 00:14:36,410
+أدجوباند يقول أن أدجوباند أي مادة تضاف على
+
+175
+00:14:36,410 --> 00:14:42,770
+الـ immunogen لإزالة الـ immunogenicity  هذا سيحفظ تجارب
+
+176
+00:14:42,770 --> 00:14:49,630
+الـ immune أدجوباند لا يشارك الـ immunogenicity على
+
+177
+00:14:49,630 --> 00:14:54,890
+الهابتين ما هو ميكانيزم الذي مشتغل فيه الـ adjuvant
+
+178
+00:14:54,890 --> 00:14:57,210
+يقول إن إذا كان شخص يزال 
+
+179
+00:14:57,210 --> 00:14:58,550
+يزال
+
+180
+00:14:58,550 --> 00:15:00,790
+يزال
+
+181
+00:15:00,790 --> 00:15:02,040
+يزال يزود
+
+182
+00:15:02,040 --> 00:15:06,440
+الـ half-life  نمرة اثنين increasing the production
+
+183
+00:15:06,440 --> 00:15:11,880
+of local inflammatory cytokine برضه نمرة ثلاثة
+
+184
+00:15:11,880 --> 00:15:16,440
+improving antigen delivery and antigen processing
+
+185
+00:15:16,440 --> 00:15:20,200
+and presentation by antigen presenting cell
+
+186
+00:15:20,200 --> 00:15:25,620
+وبالتالي الـ adjuvant containing microbial compound
+
+187
+00:15:25,620 --> 00:15:30,920
+مثل الـ mycobacterial extract are the best
+
+188
+00:15:30,920 --> 00:15:35,660
+adjuvant مثال يعني على الـ adjuvant هي عبارة عن
+
+189
+00:15:35,660 --> 00:15:41,800
+microbial component مثل الـ myobacterial extract
+
+190
+00:15:41,800 --> 00:15:46,820
+الذي موجود في السوق طبعا في هذه الحلقة هذا عبارة
+
+191
+00:15:46,820 --> 00:15:53,480
+عن figure يبين لي common adjuvant وطريقة عملها الـ
+
+192
+00:15:53,480 --> 00:15:57,180
+Aluminium Hydroxide أو الـ Aluminium Phosphate
+
+193
+00:15:57,180 --> 00:16:01,780
+تأخذ
+
+194
+00:16:01,780 --> 00:16:09,580
+الانتيجن تأخذ الانتيجن وهي طبعا في أشهرها الفرنسية
+
+195
+00:16:09,580 --> 00:16:12,720
+سواء كان complete أو incomplete وهذا عبارة عن oil
+
+196
+00:16:12,720 --> 00:16:22,350
+in water with killed mycobacteria هذه الأمثلة وإن
+
+197
+00:16:22,350 --> 00:16:26,250
+اكتفي بهذه المعلومات عن الـ antigen و الـ immunogen
+
+198
+00:16:26,250 --> 00:16:31,750
+مش معنين نعمل محاضرات بستين وسبعين شريحة يكفينا
+
+199
+00:16:31,750 --> 00:16:38,290
+نتعرف على هذه المعلومة هذه المعلومات للتذكير 
diff --git a/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/ZBIIfkK9UEc_raw.srt b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/ZBIIfkK9UEc_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..3c73f49cfc93a6e95c3fa17ceaca11d40c90aa22
--- /dev/null
+++ b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/ZBIIfkK9UEc_raw.srt
@@ -0,0 +1,812 @@
+1
+00:00:01,740 --> 00:00:08,940
+بسم الله الرحمن الرحيم محاضرتنا اليوم هتحكي على ال
+
+2
+00:00:08,940 --> 00:00:17,600
+immunogen و ال antigen تعريفات و خصائص و بعض
+
+3
+00:00:17,600 --> 00:00:24,400
+النقاط المهمة اللي لازم نتطرق ليها بشكل عام اي ناد
+
+4
+00:00:24,400 --> 00:00:35,770
+ده تستطيع انتحفظ ال response is referred to as
+
+5
+00:00:35,770 --> 00:00:42,930
+antigen or immunogen بشكل عام اي مادة evokes تحفظ
+
+6
+00:00:42,930 --> 00:00:46,950
+ال response is referred to as antigen or immunogen
+
+7
+00:00:46,950 --> 00:00:52,950
+الفرق بين الاتنين ان ال antigen هو عبارة عن اي
+
+8
+00:00:52,950 --> 00:00:58,620
+مادةأي agent that is capable specifically to bind
+
+9
+00:00:58,620 --> 00:01:03,220
+with بيرتبط مع مكونات ال immune response زي ال PCR
+
+10
+00:01:03,220 --> 00:01:08,500
+أو ال BCL أو ال antibody بينما ال immunogen هو أي
+
+11
+00:01:08,500 --> 00:01:14,920
+مادة تستطيع ان تحفظ جهاز المناعة وتنتج ال immune
+
+12
+00:01:14,920 --> 00:01:19,640
+response يبقى ال antigen فقط يرتبط بمكونات ال
+
+13
+00:01:19,640 --> 00:01:22,980
+immune response ولكنه لا يحفظ ال antibody ال
+
+14
+00:01:22,980 --> 00:01:27,440
+immune responseبنبع ال immunogen يستطيع أن يحفظ ال
+
+15
+00:01:27,440 --> 00:01:31,440
+immune response وبالتالي كل immunogen هو عبارة عن
+
+16
+00:01:31,440 --> 00:01:38,880
+antigen لكن ليس و vice versa الherkin مصطلح آخر هو
+
+17
+00:01:38,880 --> 00:01:45,040
+عبارة عن مادة صغيرة by itself it is incapable of
+
+18
+00:01:45,040 --> 00:01:51,640
+inducing immune response لكن يوم ما يرتبط بمادة
+
+19
+00:01:51,640 --> 00:01:58,110
+تانيةبسموها carrier بيكبر وبالتالي يستطيع ان يحفظ
+
+20
+00:01:58,110 --> 00:02:02,050
+جهاز المناعة وطبعا ال antibody اللي بيتكوم في هذه
+
+21
+00:02:02,050 --> 00:02:04,970
+الحالة يستطيع ان يتفاعل مع ال carrier ومع ال
+
+22
+00:02:04,970 --> 00:02:12,010
+antiheptin itself requirement for immunogenicity
+
+23
+00:02:12,010 --> 00:02:18,550
+يعني ال immunogenicity يعني إلى العوامل القاتية
+
+24
+00:02:18,550 --> 00:02:22,150
+لما واحد ال antigen او immunogen should be foreign
+
+25
+00:02:23,220 --> 00:02:27,240
+و ال foreigners طبعا بشكل عام اي انسان مافيش ان
+
+26
+00:02:27,240 --> 00:02:31,680
+الواحد
+
+27
+00:02:31,680 --> 00:02:37,840
+يتعامل مع ال self-antigen تبعته مع ال self-antigen
+
+28
+00:02:37,840 --> 00:02:44,660
+تبعته و كل ما كانت ال مادة ال agent اللي دخل
+
+29
+00:02:44,660 --> 00:02:48,160
+foreign كل ما كان more immunogenic
+
+30
+00:02:50,760 --> 00:02:53,840
+طبعا في exceptional case في هذا الحالة في حالة ال
+
+31
+00:02:53,840 --> 00:02:57,440
+autoimmunity انه بعض المرات بيصير فيه اللي هو
+
+32
+00:02:57,440 --> 00:03:09,260
+antibody تتفاعل مع self-antigen او تتفاعل مع his
+
+33
+00:03:09,260 --> 00:03:15,840
+or her own tissue صفة تانية لل immunogenicity ال
+
+34
+00:03:17,170 --> 00:03:19,670
+والـ high molecular weight المفروض كالاثي جاله هو
+
+35
+00:03:19,670 --> 00:03:22,710
+إذا المادة أقل من 100 دالتون زي البنسالين
+
+36
+00:03:22,710 --> 00:03:26,730
+والاسباريو و البروجسترون فهي ليست إمينوجينية لكن
+
+37
+00:03:26,730 --> 00:03:31,330
+لو كانت المادة ما بين ألف لستة لاف زي الانسغين و
+
+38
+00:03:31,330 --> 00:03:38,850
+LCTH هرمون they are or not they may or may not be
+
+39
+00:03:38,850 --> 00:03:42,820
+إمينوجينية ويوم ما يكونوا فوق الستة لافدالتون
+
+40
+00:03:42,820 --> 00:03:45,960
+موليكيلار ويت زي الالبومين it's generally
+
+41
+00:03:45,960 --> 00:03:50,080
+immunogenic يبقى أول صفة ال foreignest و تاني صفة
+
+42
+00:03:50,080 --> 00:03:52,880
+ال I molecular weight تالت صفة ال chemical
+
+43
+00:03:52,880 --> 00:03:57,240
+complexity يعني كل ما كان ال molecule more complex
+
+44
+00:03:57,240 --> 00:04:02,970
+and not homopolymer وإنما هو copolymerكل ما كان
+
+45
+00:04:02,970 --> 00:04:09,730
+جيد اميونوجين و مثال
+
+46
+00:04:09,730 --> 00:04:12,750
+على ذلك على سبيل المثال البريجلوتاميك العلني
+
+47
+00:04:12,750 --> 00:04:20,930
+العيسين to be highly اميونوجينيك ال degradability
+
+48
+00:04:20,930 --> 00:04:26,830
+should be capable of degradationation ايش يعني قال
+
+49
+00:04:26,830 --> 00:04:30,830
+الانتجين اللي بيستطيع انه ينشط تيلينفسايد ويعمل
+
+50
+00:04:30,830 --> 00:04:34,770
+immune responseلابد انه يتفاعل مع antigen
+
+51
+00:04:34,770 --> 00:04:37,330
+presenting cell شو بتعمل antigen presenting cell
+
+52
+00:04:37,330 --> 00:04:42,050
+تاخده و بتعمل antigen processing بتشجفه و بتقطعه
+
+53
+00:04:42,050 --> 00:04:48,810
+by enzymatic degradation ثم بيطلع
+
+54
+00:04:48,810 --> 00:04:52,110
+على سطح ال antigen presenting cell مرتبط بالMRC
+
+55
+00:04:52,110 --> 00:04:56,250
+moleculeالشيء اللي طلعت هو الـ Epitopes من هذا
+
+56
+00:04:56,250 --> 00:05:00,870
+الانتجن مرتبط بمين؟ بال-MHC موليكيولوجيا هذه الـ
+
+57
+00:05:00,870 --> 00:05:05,410
+Epitopes تستميل و تشغّل اتفاق كلونا الانتجن الخاص
+
+58
+00:05:05,410 --> 00:05:12,250
+بالإفكتور T-cell طبعا في بعض البروتينة أو
+
+59
+00:05:12,250 --> 00:05:19,150
+الامينواسد اللي مقاومة لتحرير الانزيماتيكيا فهي
+
+60
+00:05:19,150 --> 00:05:24,930
+ليسوا اميولوجينيكيازي الـ D-Configuration Amino
+
+61
+00:05:24,930 --> 00:05:30,610
+Acids الـ D-Configuration Amino Acids الـ D
+
+62
+00:05:30,610 --> 00:05:34,550
+-Configuration
+
+63
+00:05:34,550 --> 00:05:36,930
+Amino Acids الـ D-Configuration Amino Acids الـ D
+
+64
+00:05:36,930 --> 00:05:37,050
+-Configuration Amino Acids الـ D-Configuration
+
+65
+00:05:37,050 --> 00:05:37,130
+Amino Acids الـ D-Configuration Amino Acids الـ D
+
+66
+00:05:37,130 --> 00:05:37,170
+-Configuration Amino Acids الـ D-Configuration
+
+67
+00:05:37,170 --> 00:05:37,530
+Amino Acids الـ D-Configuration Amino Acids الـ D
+
+68
+00:05:37,530 --> 00:05:37,670
+-Configuration Amino Acids الـ D-Configuration
+
+69
+00:05:37,670 --> 00:05:37,670
+Amino Acids الـ D-Configuration Amino Acids الـ D
+
+70
+00:05:37,670 --> 00:05:37,670
+-Configuration Amino Acids الـ D-Configuration
+
+71
+00:05:37,670 --> 00:05:40,270
+Amino Acids الـ D-Configuration Amino Acids الـ D
+
+72
+00:05:40,270 --> 00:05:41,910
+-Configuration Amino Acids الـ D-Configuration
+
+73
+00:05:41,910 --> 00:05:50,470
+Amino Acids الـ D-Configuration Amino Acids الـ D
+
+74
+00:05:50,470 --> 00:05:52,310
+-Configuration Amino Acids الـ
+
+75
+00:06:01,660 --> 00:06:08,300
+الجينات التي تصنع هذا الانتجن او الانتجن البرودكت
+
+76
+00:06:08,300 --> 00:06:13,720
+هو مختلف من واحد شخص لواحد اخر البرودكت او الانتجن
+
+77
+00:06:13,720 --> 00:06:15,520
+البرودكت هو مختلف من واحد شخص لواحد اخر البرودكت
+
+78
+00:06:15,520 --> 00:06:22,080
+او الانتجن البرودكت هو مختلف
+
+79
+00:06:22,080 --> 00:06:25,660
+من واحد شخص لواحدDosage and Route of
+
+80
+00:06:25,660 --> 00:06:31,140
+Administration ببساطة يقولوا خدوا في عين الاعتبار
+
+81
+00:06:31,140 --> 00:06:34,900
+هذه القواعد لما نكون repeated administration
+
+82
+00:06:34,900 --> 00:06:40,120
+للانتجن يعني نضل ندخل انتجن على مرات متتالية بصير
+
+83
+00:06:40,120 --> 00:06:44,120
+فيه strong immune response لكن إذا كان دخلنا انتجن
+
+84
+00:06:44,120 --> 00:06:49,660
+بكميات قليلة غالبا ال immune responses will not be
+
+85
+00:06:49,660 --> 00:06:54,660
+activatedولا هتتنشط الانفوسايت وفي هذه الحالة
+
+86
+00:06:54,660 --> 00:06:59,960
+بيحصل توليراس وليس اي ايش immunoresponse سابقا
+
+87
+00:06:59,960 --> 00:07:04,040
+كتيرنسلي يعني صار في administration و antigen
+
+88
+00:07:04,040 --> 00:07:10,500
+سابقا كتيرنسلي هذه اكتر ال roads immunogenicity
+
+89
+00:07:10,500 --> 00:07:13,940
+لانه او المداخل immunogenicity لان ال
+
+90
+00:07:13,940 --> 00:07:20,680
+antrepresenting cell قاعدة تحتها تحت ليش؟بالتالي
+
+91
+00:07:20,680 --> 00:07:25,700
+تتلقى في الانتجين وبتعمله تكسير لأن هذا ال
+
+92
+00:07:25,700 --> 00:07:28,940
+processor present انتجين to effector cell طبيعي
+
+93
+00:07:28,940 --> 00:07:35,160
+إذا دخل الانتجين through IV يعني intravenous
+
+94
+00:07:35,160 --> 00:07:44,660
+administration فهيروح الاسمين وهنا ممكن يعمل
+
+95
+00:07:44,660 --> 00:07:45,340
+tolerance
+
+96
+00:07:49,360 --> 00:07:54,120
+أو أنه إذا واجه antigen-presenting cell ممكن يعمل
+
+97
+00:07:54,120 --> 00:07:57,360
+immune response إنما في الغالب يضعم ال tolerance
+
+98
+00:07:57,360 --> 00:08:01,840
+إذا كان اعتناء subcutaneously في ال .. sorry
+
+99
+00:08:01,840 --> 00:08:07,840
+intravenously ال antigen يستخدم ال tract برضه هو
+
+100
+00:08:07,840 --> 00:08:12,580
+عبارة عن root that
+
+101
+00:08:12,580 --> 00:08:15,620
+produce systemic state of tolerance
+
+102
+00:08:18,200 --> 00:08:22,660
+إلا إنه ممكن يعمل الـ Local Antibody Production في
+
+103
+00:08:22,660 --> 00:08:28,100
+منطقة الانتستنال Lamina Propria لكن في الغالب يعمل
+
+104
+00:08:28,100 --> 00:08:33,100
+طول النصف Administration of Antigen via Intranasal
+
+105
+00:08:33,100 --> 00:08:39,300
+or Respiratory Route عادة بيعمل allergic reaction
+
+106
+00:08:39,300 --> 00:08:42,640
+Antigenicity
+
+107
+00:08:42,640 --> 00:08:47,820
+و Antigen Binding Sitesالـ immune response induced
+
+108
+00:08:47,820 --> 00:08:52,180
+by antigen usually generate antibody أو المحصلة
+
+109
+00:08:52,180 --> 00:08:56,760
+lymphocyte that react specifically with the
+
+110
+00:08:56,760 --> 00:09:00,460
+antigen البورشين
+
+111
+00:09:00,460 --> 00:09:03,080
+مليئة الأرتباط ما بين ال antigen و ال antibody
+
+112
+00:09:03,080 --> 00:09:09,460
+بتتم من خلال إيبوتروب على سطح ال antigen ومنطقة في
+
+113
+00:09:09,460 --> 00:09:14,300
+ال antibody بتحتوي على several hyper variable
+
+114
+00:09:14,300 --> 00:09:19,920
+region في الطرففي منطقة الفاب وهذه المنطقة الـ
+
+115
+00:09:19,920 --> 00:09:23,560
+hyper variable region تحتوي على تلت مناطق أساسية
+
+116
+00:09:23,560 --> 00:09:27,800
+بيسموها complementary determining region حجم ال
+
+117
+00:09:27,800 --> 00:09:35,460
+ابتوب اللي برتبط بال CDR غالبا بيكون من خمسة لسبعة
+
+118
+00:09:35,460 --> 00:09:42,280
+amino acids إذا كان ال ابتوب تماميا لاتناشر amino
+
+119
+00:09:42,280 --> 00:09:49,790
+acids الارتباط بيكون non-covalentوغالبا بكوبك تكون
+
+120
+00:09:49,790 --> 00:09:53,630
+ترشيري complex اللي هو ال antigen presenting cell
+
+121
+00:09:53,630 --> 00:09:57,690
+و اللي عملشي موليكيول و اللي بيطول اللي هو ال
+
+122
+00:09:57,690 --> 00:10:04,450
+antigen ال
+
+123
+00:10:04,450 --> 00:10:08,850
+number of classes of antigen يعني ال number واحد
+
+124
+00:10:08,850 --> 00:10:14,540
+polysaccharidesوهذه غالبا لا تكون إميونوجينية إلا
+
+125
+00:10:14,540 --> 00:10:21,320
+إذا كانت مرتبطة بالبروتين وبالتالي في هذه الحالة
+
+126
+00:10:21,320 --> 00:10:27,800
+بيصير جليكو بروتين لذلك يعتبر جيد إميونوجينيك مع
+
+127
+00:10:27,800 --> 00:10:31,160
+طبع ال exceptional case في هذه الحالة هي عبارة عن
+
+128
+00:10:31,160 --> 00:10:37,100
+ال ABO ABO blood group are polysaccharide يعني فقط
+
+129
+00:10:37,100 --> 00:10:40,390
+polysaccharideوهي موجودة على سطح كورات الدم
+
+130
+00:10:40,390 --> 00:10:45,970
+الحمراء and they are extremely and a good example
+
+131
+00:10:45,970 --> 00:10:52,970
+for antigenicity لالبوليساكرايد in lipids بشكل عام
+
+132
+00:10:52,970 --> 00:10:57,790
+they are rarely immunogenic ليبوبروتين يوم ترتبط
+
+133
+00:10:57,790 --> 00:11:04,570
+ببروتين او glycolipid they are immunogenic nucleic
+
+134
+00:11:04,570 --> 00:11:10,450
+acid by themselvesThey are poor immunogens لكن لما
+
+135
+00:11:10,450 --> 00:11:13,830
+يرتبطوا ببروتين يوكليوبروتين They are good
+
+136
+00:11:13,830 --> 00:11:18,190
+immunogens في حدث الأسئلة E على سبيل المثال Anti
+
+137
+00:11:18,190 --> 00:11:23,310
+-DNA antibody are formed يعني ضد ال نيوكليوبروتين
+
+138
+00:11:23,310 --> 00:11:29,250
+بروتين All بروتين قاعدة عامة are immunogenic
+
+139
+00:11:29,250 --> 00:11:35,450
+Complex بروتين are more immunogenic لأنه بحتوى على
+
+140
+00:11:35,450 --> 00:11:41,290
+multiple إبيتوبمصطلح الـ cross reactivity طبعا
+
+141
+00:11:41,290 --> 00:11:45,430
+أحسن تشبيه له هو التكسين والتكسويد ماهو التكسين
+
+142
+00:11:45,430 --> 00:11:48,750
+والتكسويد؟ قلتها زي بعض بس التكسويد هو عبارة عن
+
+143
+00:11:48,750 --> 00:11:52,870
+التكسين اللي انشالت سميته لكن ال immunogenicity
+
+144
+00:11:52,870 --> 00:11:59,150
+still there يعني موجودة ال immunogenicity is there
+
+145
+00:11:59,150 --> 00:12:05,650
+لكن ال toxicity is removed بسموا هذه المادة تكسويد
+
+146
+00:12:06,300 --> 00:12:12,420
+بالطبع في هذه الحالة تكسيد يمكن أن يتعامل مع تكسيد
+
+147
+00:12:12,420 --> 00:12:13,160
+بشكل عميق بشكل عميق بشكل عميق بشكل عميق بشكل عميق
+
+148
+00:12:13,160 --> 00:12:13,360
+بشكل عميق بشكل عميق بشكل عميق بشكل عميق بشكل عميق
+
+149
+00:12:13,360 --> 00:12:16,480
+بشكل عميق بشكل عميق بشكل عميق بشكل عميق بشكل عميق
+
+150
+00:12:16,480 --> 00:12:20,880
+بشكل عميق بشكل عميق بشكل
+
+151
+00:12:20,880 --> 00:12:23,800
+عميق بشكل عميق بشكل عميق بشكل عميق بشكل عميق بشكل
+
+152
+00:12:23,800 --> 00:12:28,900
+عميق بشكل عميق بشكل عميق بشكل عميق بشكل
+
+153
+00:12:28,900 --> 00:12:32,560
+عميق بشكل
+
+154
+00:12:32,560 --> 00:12:41,170
+عميق بالتي تسمى كالترمز
+
+155
+00:12:41,170 --> 00:12:45,910
+الهومولوجز أو الهيتيرولوجز يعني لما الانتجين اللى
+
+156
+00:12:45,910 --> 00:12:53,250
+بنستخدمه عشان نعمل immunization بختلف من اللى بده
+
+157
+00:12:53,250 --> 00:12:58,610
+يعمل immune response بنستخدم الهومولوجز أو
+
+158
+00:12:58,610 --> 00:13:05,400
+الهيتيرولوجزالهومولوجس بيعني ان الانتجين و
+
+159
+00:13:05,400 --> 00:13:09,640
+الاميونوجين يختلفوا في هذه الحالة لكن الهيتيرولوجس
+
+160
+00:13:09,640 --> 00:13:13,760
+الانتجين والاميونوجين يختلفوا في هذه الحالة لكن
+
+161
+00:13:13,760 --> 00:13:13,760
+الهيتيرولوجس الانتجين والاميونوجن يختلف في هذه
+
+162
+00:13:13,760 --> 00:13:13,760
+الحالة لكن الهيتيرولوجس الانتجين والاميونوجن يختلف
+
+163
+00:13:13,760 --> 00:13:16,220
+في هذه الحالة لكن الهيتيرولوجس الانتجين
+
+164
+00:13:16,220 --> 00:13:21,140
+والاميونوجن يختلف في هذه الحالة لكن الهيتيرولوجس
+
+165
+00:13:21,140 --> 00:13:26,500
+الانتجين والاميونوجن يختلف في هذه الحالة لكن
+
+166
+00:13:26,500 --> 00:13:28,900
+الهيتيرولوجس الاميونوجن يختلف في هذه الحالة لكن
+
+167
+00:13:28,900 --> 00:13:31,230
+الهيتيرولوجس الاميونوجن يختلف في هذه الحالCross
+
+168
+00:13:31,230 --> 00:13:39,330
+-reacting substance are
+
+169
+00:13:39,330 --> 00:13:44,210
+unrelated to each other في بعض الـ cross-reacting
+
+170
+00:13:44,210 --> 00:13:49,810
+material لا تتشابه لا تتعلق بعض that they have one
+
+171
+00:13:49,810 --> 00:13:52,830
+or more epitopes in common كل اللي هناك انه فيه
+
+172
+00:13:52,830 --> 00:14:00,190
+اكتر من واحد من ال Epitopes is shared or commonفي
+
+173
+00:14:00,190 --> 00:14:05,650
+هذه الحالة الوضع يسمى هيتيروفيليك انتيجين و احسن
+
+174
+00:14:05,650 --> 00:14:11,990
+مثال عليها اللي هو blood group B انتيجين هم
+
+175
+00:14:11,990 --> 00:14:16,330
+يتفاعلون مع الانتيبادي لجزء من أسلوب الإيكولايم
+
+176
+00:14:16,330 --> 00:14:21,530
+الانتيجين من الميكروعركانيزم يسمى هيتيروفيليك
+
+177
+00:14:21,530 --> 00:14:26,150
+انتيجين بالنسبة لمعنى blood group antigen
+
+178
+00:14:32,570 --> 00:14:36,410
+أدجوباند يقول أن أدجوباند في أي مادة تضاف على
+
+179
+00:14:36,410 --> 00:14:42,770
+الإيميونوجين لإزالة إيميونوجينيسته هذا سيحفظ تجارب
+
+180
+00:14:42,770 --> 00:14:49,630
+الإيميون أدجوباند لا يشارك الإيميونوجينيسته على
+
+181
+00:14:49,630 --> 00:14:54,890
+الهابتين ماهو ميكانيزم اللي مشتغل فيه الادجوباند
+
+182
+00:14:54,890 --> 00:14:57,210
+يقول إن إذا كان شخص يزال يزال يزال يزال يزال يزال
+
+183
+00:14:57,210 --> 00:14:58,550
+يزال يزال يزال يزال يزال يزال يزال يزال يزال يزال
+
+184
+00:14:58,550 --> 00:15:00,790
+يزال يزال يزال يزال يزال يزال يزال يزال يزال يزال
+
+185
+00:15:00,790 --> 00:15:02,040
+يزال يزال يزال يزال يزال يزال يزال يزال يزال يزود
+
+186
+00:15:02,040 --> 00:15:06,440
+ال half-life نمرة اتنين increasing the production
+
+187
+00:15:06,440 --> 00:15:11,880
+of local inflammatory cytokine برضه نمرة ثلاثة
+
+188
+00:15:11,880 --> 00:15:16,440
+improving antigen delivery and antigen processing
+
+189
+00:15:16,440 --> 00:15:20,200
+and presentation by antigen presenting cell
+
+190
+00:15:20,200 --> 00:15:25,620
+وبالتالي ال adjuvant containing microbial compound
+
+191
+00:15:25,620 --> 00:15:30,920
+زي ال myocardialmyobacterial extract are the best
+
+192
+00:15:30,920 --> 00:15:35,660
+adjuvant مثال يعني على الـ adjuvant هي عبارة عن
+
+193
+00:15:35,660 --> 00:15:41,800
+microbial component زي ال myobacterial extract
+
+194
+00:15:41,800 --> 00:15:46,820
+اللي موجود في السوق طبعا في هذه الحلقة هذا عبارة
+
+195
+00:15:46,820 --> 00:15:53,480
+عن figure يبين لي common adjuvant وطريقة عملهاالـ
+
+196
+00:15:53,480 --> 00:15:57,180
+Aluminium Hydroxide أو الـ Aluminium Phosphate
+
+197
+00:15:57,180 --> 00:16:01,780
+تأخذ
+
+198
+00:16:01,780 --> 00:16:09,580
+الانتجين تأخذ الانتجين وهي طبعا في أشهرها الفرنسا
+
+199
+00:16:09,580 --> 00:16:12,720
+سواء كان complete ولا incomplete وهذا عبارة عن oil
+
+200
+00:16:12,720 --> 00:16:22,350
+in water with killed mycobacteria هذه الأمثلةوإن
+
+201
+00:16:22,350 --> 00:16:26,250
+اكتفي بهذه المعلومات عن ال antigen و ال immunogen
+
+202
+00:16:26,250 --> 00:16:31,750
+مش معنين نعمل محاضرات بستين و سبعين شريحة يكفينا
+
+203
+00:16:31,750 --> 00:16:38,290
+نتعرف على هذه المعلومة هذه المعلومات للتذكير
+
diff --git a/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/dR8u2iQjrs4.srt b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/dR8u2iQjrs4.srt
new file mode 100644
index 0000000000000000000000000000000000000000..2afb5780dc8872460ea7a82e72c11729ddaca6d2
--- /dev/null
+++ b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/dR8u2iQjrs4.srt
@@ -0,0 +1,1979 @@
+1
+00:00:01,580 --> 00:00:06,500
+بسم الله الرحمن الرحيم عنوان محاضرتنا اليوم
+
+2
+00:00:06,500 --> 00:00:13,180
+autoimmunity and disease  الـ autoimmunity هو عبر
+
+3
+00:00:13,180 --> 00:00:16,540
+أنحاء لمرضية تنشأ يوم ما يصير فيه breakdown of 
+
+4
+00:00:16,540 --> 00:00:17,360
+self tolerance
+
+5
+00:00:24,590 --> 00:00:28,070
+الـ .. طبعا الـ consequences of autoimmune disease
+
+6
+00:00:28,070 --> 00:00:31,570
+بتعتمد على جدش صار فيه خلال في الـ self-tolerance
+
+7
+00:00:31,570 --> 00:00:34,970
+المفروض
+
+8
+00:00:34,970 --> 00:00:38,950
+أنه قبل ما نبدأ نفرق ما بين مصطلحين بين autoimmune
+
+9
+00:00:38,950 --> 00:00:41,390
+response و autoimmune disease طبعا الـ autoimmune
+
+10
+00:00:41,390 --> 00:00:43,890
+disease عم نحكي عنها إن شاء الله autoimmune
+
+11
+00:00:43,890 --> 00:00:47,090
+response بتعني أن في recognition of self-antigen
+
+12
+00:01:04,800 --> 00:01:11,660
+مرة تانية نبدأ بسم الله اليوم محاضرتنا بعنوان
+
+13
+00:01:11,660 --> 00:01:15,880
+autoimmunity and disease الـ autoimmune disease هي
+
+14
+00:01:15,880 --> 00:01:20,470
+تعريفا هي عبارة عن breakdown of self tolerance و
+
+15
+00:01:20,470 --> 00:01:25,010
+تبعات هذه الحالات المرضية بتعتمد جدش صار فيه خلل
+
+16
+00:01:25,010 --> 00:01:29,130
+في الـ self-tolerance وبالتالي بيصير في severity of
+
+17
+00:01:29,130 --> 00:01:33,590
+disease في
+
+18
+00:01:33,590 --> 00:01:38,450
+البداية قبل ما نبدأ في هذا الموضوع بس بدنا نفرق ما
+
+19
+00:01:38,450 --> 00:01:42,870
+بين two terms واحد اللي هو الـ autoimmune response
+
+20
+00:01:42,870 --> 00:01:45,590
+و autoimmune disease autoimmune disease إن شاء
+
+21
+00:01:45,590 --> 00:01:48,790
+الله هنحكي فيها التفصيل ده الـ autoimmune responses
+
+22
+00:01:49,300 --> 00:01:54,240
+بتعني أنه في recognition of self-antigen أدى إلى
+
+23
+00:01:54,240 --> 00:01:59,540
+pathological consequences وبالتالي من خلال الإفراز
+
+24
+00:01:59,540 --> 00:02:02,940
+طبعا تكوين اما antibody أو complement activation
+
+25
+00:02:02,940 --> 00:02:06,880
+أو immune complexes formation and cell-mediated
+
+26
+00:02:06,880 --> 00:02:07,460
+immunity
+
+27
+00:02:13,700 --> 00:02:19,640
+causes of autoimmune disease طبعا أشهر هذه الأسباب
+
+28
+00:02:19,640 --> 00:02:23,400
+هو الـ genetic susceptibility و طبعا لاحظوها من
+
+29
+00:02:23,400 --> 00:02:26,900
+خلال الـ high incidence of autoimmune disease في الـ
+
+30
+00:02:26,900 --> 00:02:31,840
+monozygotic twins و طبعا في نسبة أقل في الـ izygotic
+
+31
+00:02:31,840 --> 00:02:37,870
+and among family member إلا أنه هذه ظاهرة موجودة و
+
+32
+00:02:37,870 --> 00:02:42,190
+بنعرف كتير من الحالات المرضية مشهورة في كثير من
+
+33
+00:02:42,190 --> 00:02:49,850
+عائلات البلد طبعا هذا بيتعلق في الـ mode of
+
+34
+00:02:49,850 --> 00:02:54,830
+inheritance generally و لاحظوا أن الموضوع مش موضوع
+
+35
+00:02:54,830 --> 00:02:58,730
+gene واحد وإنما عبارة عن polygenic بمعنى أن في
+
+36
+00:02:58,730 --> 00:03:06,550
+أكثر من individual gene has to be illicited to
+
+37
+00:03:06,550 --> 00:03:10,930
+form a disease من
+
+38
+00:03:10,930 --> 00:03:13,790
+أشهر الجينات اللي مرتبطة بالـ autoimmune disease
+
+39
+00:03:13,790 --> 00:03:18,130
+الـ HLA complexes وطبعا
+
+40
+00:03:18,130 --> 00:03:20,590
+له علاقة مباشرة كتير من الأمراض اللي هي علاقة
+
+41
+00:03:20,590 --> 00:03:24,410
+مباشرة بالامسي الليل اللي
+
+42
+00:03:26,380 --> 00:03:31,800
+مرتبط بحالات مرضية معينة لكن هذا القليل وجوده
+
+43
+00:03:31,800 --> 00:03:34,960
+بيستلزم
+
+44
+00:03:34,960 --> 00:03:39,460
+it require other gene to cooperate أو
+
+45
+00:03:39,460 --> 00:03:43,660
+environmental triggers ماشي يعني وجود الـ gene
+
+46
+00:03:43,660 --> 00:03:48,600
+القليل هذا عند أي شخص معناته أنه عنده high
+
+47
+00:03:48,600 --> 00:03:53,620
+incidence of this disease لكن to become a patient
+
+48
+00:03:53,620 --> 00:03:54,800
+he has
+
+49
+00:04:03,740 --> 00:04:08,600
+عشان يسير في حد هو الـ autoimmune disease طبعا
+
+50
+00:04:08,600 --> 00:04:14,780
+الدراسات على الـ mice اثبتت أن HLA gene can
+
+51
+00:04:14,780 --> 00:04:19,120
+interfere with many different pathway في الـ
+
+52
+00:04:19,120 --> 00:04:24,440
+cellular function وبالتالي بتؤدي إلى autoimmune
+
+53
+00:04:24,440 --> 00:04:29,740
+disease العوامل التي تؤثر على الـ autoimmune disease
+
+54
+00:04:29,740 --> 00:04:32,120
+قالوا الـ over expression أو الـ under expression of
+
+55
+00:04:32,120 --> 00:04:36,020
+جين و بالذات الجينات التي are involved in
+
+56
+00:04:36,020 --> 00:04:37,760
+apoptosis and cell survival
+
+57
+00:04:45,140 --> 00:04:46,120
+وطبيعي الوصول إلى الوصول إلى الوصول إلى الوصول إلى
+
+58
+00:04:46,120 --> 00:04:46,860
+الوصول إلى الوصول إلى الوصول إلى الوصول إلى الوصول
+
+59
+00:04:46,860 --> 00:04:50,020
+إلى الوصول إلى الوصول إلى الوصول إلى الوصول إلى
+
+60
+00:04:50,020 --> 00:04:54,620
+الوصول إلى الوصول إلى الوصول إلى الوصول إلى الوصول
+
+61
+00:04:54,620 --> 00:04:58,460
+إلى الوصول إلى الوصول إلى الوصول إلى الوصول إلى
+
+62
+00:04:58,460 --> 00:05:01,100
+الوصول إلى الوصول إلى الوصول إلى الوصول إلى الوصول
+
+63
+00:05:01,100 --> 00:05:07,420
+إلى الوصول إلى الوصول إلى الوصول إلى الوصول
+
+64
+00:05:09,640 --> 00:05:13,020
+Deficiency in pro-apoptic molecules زي الـ Fas
+
+65
+00:05:13,020 --> 00:05:17,980
+و الـ Fas Ligand أو الـ over expression of anti-apoptic
+
+66
+00:05:17,980 --> 00:05:23,640
+molecules زي الـ BCL2 وهو عبارة عن جين بي code for الـ
+
+67
+00:05:23,640 --> 00:05:29,390
+protein يلعب دور كبير في الـ apoptosis Can interfere
+
+68
+00:05:29,390 --> 00:05:36,350
+the apoptosis طبعا غيابهم بيؤدي إلى diminution of
+
+69
+00:05:36,350 --> 00:05:40,430
+apoptosis وإذا صار في diminution of apoptosis بيصير
+
+70
+00:05:40,430 --> 00:05:45,630
+فيه زيادة في الـ auto reactive B and T cell وهذا
+
+71
+00:05:45,630 --> 00:05:50,870
+بيؤدي إلى auto antibody production وطبعا أشهر هذه
+
+72
+00:05:50,870 --> 00:05:56,870
+الـ antibody هو الـ antinuclear antibody الـ T cell
+
+73
+00:05:58,200 --> 00:06:06,500
+ملاحظة أخرى تسلل auto reactivity لجوها أيضا بتصير
+
+74
+00:06:06,500 --> 00:06:10,360
+as a result of expression of pro inflammatory
+
+75
+00:06:10,360 --> 00:06:17,550
+cytokine زي IL-10 أو excessive costimulation due to
+
+76
+00:06:17,550 --> 00:06:26,170
+overexpression of B7C28 و a deficiency of
+
+77
+00:06:26,170 --> 00:06:32,490
+inhibitor of costimulation reaction ماشي يبقى هذه
+
+78
+00:06:32,490 --> 00:06:41,720
+برضه لها علاقة بالـ auto reactive T cell أيضا اللعب
+
+79
+00:06:41,720 --> 00:06:46,700
+في الـ strength of signal transduction زي ما قلنا
+
+80
+00:06:46,700 --> 00:06:52,620
+أنه إذا كان في خلل في under expression لـ CD 22 أو
+
+81
+00:06:52,620 --> 00:07:04,760
+over expression لـ CD 19 أيضا
+
+82
+00:07:11,220 --> 00:07:16,920
+Enhanced T Cell Helps
+
+83
+00:07:16,920 --> 00:07:21,040
+Enhance
+
+84
+00:07:21,040 --> 00:07:25,140
+Expression Of CD40 To 40-Ligand أيضا Similarly
+
+85
+00:07:25,140 --> 00:07:33,400
+Leads To Auto Antibody Production ملاحظة أخرى أيضا
+
+86
+00:07:33,400 --> 00:07:36,500
+اللي علاقة بالـ Auto Immune Disease فهو Under
+
+87
+00:07:36,500 --> 00:07:39,900
+Expression Of Protein زي الـ Serum Amyloid Protein
+
+88
+00:07:40,350 --> 00:07:43,850
+وهذا بلعب دور كبير في الـ clearance of apoptic
+
+89
+00:07:43,850 --> 00:07:46,650
+particles أو decreased clearance of immune
+
+90
+00:07:46,650 --> 00:07:50,790
+complexes ناتجة عن deficiency of complement
+
+91
+00:07:50,790 --> 00:07:57,810
+component either C1q, C2, C3 أو even C4 هم بيؤدوا
+
+92
+00:07:57,810 --> 00:08:00,230
+الدور إلى الـ auto antibody production
+
+93
+00:08:08,330 --> 00:08:13,790
+مثال الحقيقي على هذا الكلام هو الـ Neuronal Model
+
+94
+00:08:13,790 --> 00:08:21,710
+of Autoimmune Myocarditis which revealed that the
+
+95
+00:08:21,710 --> 00:08:26,210
+disease susceptibility and cardiac damage بتعتمد
+
+96
+00:08:26,210 --> 00:08:31,030
+على Strain-specific cardiac myosin antigen
+
+97
+00:08:31,030 --> 00:08:36,110
+Accessibility والوضع اللي هو الـ myosin antigen في
+
+98
+00:08:36,110 --> 00:08:40,850
+الـ cardiac tissue
+
+99
+00:08:40,850 --> 00:08:46,530
+Environmental susceptibility يعني فيه several
+
+100
+00:08:46,530 --> 00:08:49,090
+environmental factors either infectious أو non
+
+101
+00:08:49,090 --> 00:08:53,120
+-infectious which can trigger autoimmunity كيف؟
+
+102
+00:08:53,120 --> 00:08:56,180
+جاله by inducing release of sequestered antigen أو
+
+103
+00:08:56,180 --> 00:08:59,620
+molecular mimicry أو polyclonal activation وحنا
+
+104
+00:08:59,620 --> 00:09:03,180
+ناخد أمثلة على هذا الكلام فعلى سبيل المثال الـ
+
+105
+00:09:03,180 --> 00:09:07,240
+autoimmune myocarditis وجدوا اللي هو علاقة مباشرة
+
+106
+00:09:07,240 --> 00:09:12,220
+بالـ myocardial infarction أو cardiac ischemic
+
+107
+00:09:12,220 --> 00:09:16,160
+attack شو بيصير فيها؟ الـ cardiac ischemic attack
+
+108
+00:09:16,160 --> 00:09:21,580
+بيصير فيه tissue damage لأ cardiac damage وبالتالي
+
+109
+00:09:21,580 --> 00:09:25,940
+بيحصل فيه sequestered antigen للكاردك مسلز بيقولوا أن
+
+110
+00:09:25,940 --> 00:09:29,600
+سبب الـ autoimmune myocarditis هو نتج عن آش الـ
+
+111
+00:09:29,600 --> 00:09:32,780
+consequences of exposure to sequestered antigen
+
+112
+00:09:32,780 --> 00:09:39,440
+upon heart damage أيضا الـ autoimmunity may also
+
+113
+00:09:39,440 --> 00:09:44,080
+arise when an antibody أو T cell specific for
+
+114
+00:09:44,080 --> 00:09:48,740
+microbial antigen cross react with self-antigen
+
+115
+00:09:48,740 --> 00:09:53,080
+المصطلح الكتير مشهور اللي هو molecular mimicry في
+
+116
+00:09:53,080 --> 00:10:01,580
+تشابه ما بينيش foreign antigen مع self-antigen T
+
+117
+00:10:01,580 --> 00:10:08,760
+cell dependent self-antigen لا تستطيع أنها تتمشط
+
+118
+00:10:10,550 --> 00:10:17,790
+الـ B-cell في تكوين auto-antibody لأنه
+
+119
+00:10:17,790 --> 00:10:22,650
+there are no auto-reactive T-cell helper يعني احنا
+
+120
+00:10:22,650 --> 00:10:25,950
+ببساطة بيقول أن الـ B لنفسها عيطش يوم ما تصعد في
+
+121
+00:10:25,950 --> 00:10:31,990
+فرن انتجين وتمشي به مابتقدرش تتنشط ليش؟ لأنه الـ T
+
+122
+00:10:31,990 --> 00:10:39,020
+-cell مطلوبة عشان تنشطيعني مساعدة لا تتمشط إلا
+
+123
+00:10:39,020 --> 00:10:42,500
+بمساعدة الـ T-Helper Cell وغالبا الـ T-Lymphocyte
+
+124
+00:10:42,500 --> 00:10:51,280
+is either deleted or energized يعني في الـ primary
+
+125
+00:10:51,280 --> 00:10:55,870
+lymphoid organs من البداية الـ T-Lymphocyte is well
+
+126
+00:10:55,870 --> 00:11:01,050
+educated يعني بمعنى أنه بتتعلم صح والمحاصرة
+
+127
+00:11:01,050 --> 00:11:04,130
+التعليم يامبسيل اندليشين لل-auto reactive
+
+128
+00:11:04,130 --> 00:11:12,910
+telephosite يامبسيل انرجزت المشكلة
+
+129
+00:11:12,910 --> 00:11:18,770
+ممكن تصير لما يكون فرن انتجن بيحتوي على إيبيتوب
+
+130
+00:11:18,770 --> 00:11:23,790
+similar to إيبيتوب of self-antigen وبالتالي في هذه
+
+131
+00:11:23,790 --> 00:11:27,340
+الحالة بيصير فيه تكوين لـ auto antibody response
+
+132
+00:11:27,340 --> 00:11:35,360
+for the foreign antigen اللي أيضا ممكن يتفاعل مع
+
+133
+00:11:35,360 --> 00:11:39,000
+الـ self-antigen لأنه بيصير فيه cross reactivity في
+
+134
+00:11:39,000 --> 00:11:43,300
+هذه الحالة هذا ما يسمى بالإيش بالـ molecular
+
+135
+00:11:43,300 --> 00:11:48,520
+mimicry ونشوف هنشوف إن شاء الله في الـ figure 12.5
+
+136
+00:11:48,520 --> 00:11:55,050
+هذا الكلام molecular mimicry هو مؤكد أنه يعمل رول
+
+137
+00:11:55,050 --> 00:12:02,110
+في الروماتيك فيفر rheumatic fever
+
+138
+00:12:02,110 --> 00:12:07,230
+اليوم تكون تنتج
+
+139
+00:12:07,230 --> 00:12:12,350
+من نتيجة استريبتو كوكال انفكشن يعني لو في بعض الـ
+
+140
+00:12:12,350 --> 00:12:17,150
+cross reactivity في الـ streptococcal والـ Cardic
+
+141
+00:12:17,150 --> 00:12:22,610
+Myosin اللي هو البروتين وبالتالي بتكون Auto
+
+142
+00:12:22,610 --> 00:12:28,610
+Antibody which can cross-reactive with the Myosin
+
+143
+00:12:28,610 --> 00:12:34,450
+in the heart Autoimmune
+
+144
+00:12:34,450 --> 00:12:38,190
+Diabetes كمان تيلينفوسايت can recognize a peptide
+
+145
+00:12:38,190 --> 00:12:45,140
+فقط بيبتايد من الـ glutamic acid D-carboxylase وهذا
+
+146
+00:12:45,140 --> 00:12:51,760
+عبارة عن انتجن موجودة في الـ beta islet cell له
+
+147
+00:12:51,760 --> 00:12:56,700
+هذا كان cross reaction cross react with peptide
+
+148
+00:12:56,700 --> 00:13:01,740
+derived from kokusaki virus يعني في تشابه ما بين
+
+149
+00:13:01,740 --> 00:13:06,420
+اللي هو الـ kokusaki virus وما بين a glutamic acid
+
+150
+00:13:06,420 --> 00:13:12,110
+اللي هو الـ b cell بـ islet cell اللي هو من خلال
+
+151
+00:13:12,110 --> 00:13:17,530
+Glutamic Acid Carboxylase Antigen أيضًا بيصير فيه
+
+152
+00:13:17,530 --> 00:13:23,750
+molecular mimicry وطبعًا الـ autoimmune disease can
+
+153
+00:13:23,750 --> 00:13:27,270
+be developed
+
+154
+00:13:27,270 --> 00:13:35,270
+بعد ما يصير فيه microbial infection وهو مثلًا زي
+
+155
+00:13:35,270 --> 00:13:38,760
+ما أنتم شايفين هي عبارة عن auto-reactive B
+
+156
+00:13:38,760 --> 00:13:47,120
+lymphocytes ماسكة في self-antigen والـ self
+
+157
+00:13:47,120 --> 00:13:52,860
+-antigen ده هو في ميكروبيا الـ antigen بيشترك معاه
+
+158
+00:13:52,860 --> 00:13:58,440
+في إيبيتوب بيشترك معاه في إيبيتوب طبعًا الـ B
+
+159
+00:13:58,440 --> 00:14:06,380
+lymphocytes تتمشط for the foreign part وتصبح نشطة
+
+160
+00:14:06,380 --> 00:14:11,180
+وعندما تصبح نشطة تصبح نشطة لنا تيلينفوسايدس لناس
+
+161
+00:14:11,180 --> 00:14:19,400
+كمين الفرن ابتدوا which can cause react with the
+
+162
+00:14:19,400 --> 00:14:24,900
+self ابتدوا تطلع auto antibody which can react مع
+
+163
+00:14:24,900 --> 00:14:29,900
+الـ self ومع الفرن مع الـ self ومع الفرن
+
+164
+00:14:31,960 --> 00:14:36,540
+طبعًا هذا هو الوضع اللي قلنا أنه في common إيبيتوب
+
+165
+00:14:36,540 --> 00:14:43,440
+في الـ foreign antigen مع الـ ash مع الـ self antigen
+
+166
+00:14:43,440 --> 00:14:47,400
+فبتتنشط طبعًا تيلينفوسايت للـ foreign إيبيتوب فتنشط
+
+167
+00:14:47,400 --> 00:14:51,580
+الـ naive تيلينفوسايت بيليمفوسايت وبيليمفوسايت تطلع
+
+168
+00:14:51,580 --> 00:14:57,240
+antibody for both self and ash and foreign antigen
+
+169
+00:14:58,250 --> 00:15:00,590
+الحاجة التالتة اللي احنا إن شاء الله هنحكي عليها
+
+170
+00:15:00,590 --> 00:15:04,910
+زي ما أنتم شايفين يوم ما يصير فيه polyclonal
+
+171
+00:15:04,910 --> 00:15:09,770
+polyclonal يعني أكثر من clone أو بي سل اكتلاشيون
+
+172
+00:15:09,770 --> 00:15:15,010
+شو اللي بيصير؟ يعني بتكون شيء بينهم auto reactive
+
+173
+00:15:15,010 --> 00:15:22,230
+clone فده هي الـ auto reactive cell في يوم ما يخش big
+
+174
+00:15:22,230 --> 00:15:26,510
+antigen زي الـ limopolysaccharides ماشي؟ which has
+
+175
+00:15:26,510 --> 00:15:32,680
+ability to act as a super antigen فبالتالي بروحه هو
+
+176
+00:15:32,680 --> 00:15:40,540
+مرتبط ماشي وطبعًا
+
+177
+00:15:40,540 --> 00:15:48,820
+بالـ receptor على سطح الـ ash بيرينفوسايت ثم بي كان
+
+178
+00:15:48,820 --> 00:15:53,780
+بي associate with طول الـ coreceptor وطول الـ coreceptor
+
+179
+00:15:53,780 --> 00:15:58,750
+بيعمل signal transaction وبنشط الـ ash العيب أو
+
+180
+00:15:58,750 --> 00:16:02,490
+بوريسا كرهت بتبت برسيبتور مرتبط بالطلعي كرسيبتور
+
+181
+00:16:02,490 --> 00:16:05,210
+which has the ability to induce signal
+
+182
+00:16:05,210 --> 00:16:11,250
+transduction ومحصلتها
+
+183
+00:16:11,250 --> 00:16:15,830
+activation of cell طبعًا يوم يصير فيه أكثر من كلون
+
+184
+00:16:15,830 --> 00:16:19,210
+activated ومن ضمنهم auto reactive clone it will
+
+185
+00:16:19,210 --> 00:16:27,140
+induce autoimmune disease هي الـ Polyclonal
+
+186
+00:16:27,140 --> 00:16:31,120
+Activation الـ Polyclonal Activator يمكن أن يخلق
+
+187
+00:16:31,120 --> 00:16:33,020
+المال بشكل محدد يخلق المال بشكل محدد يخلق المال
+
+188
+00:16:33,020 --> 00:16:35,660
+بشكل محدد يخلق المال بشكل محدد يخلق المال بشكل
+
+189
+00:16:35,660 --> 00:16:36,520
+محدد يخلق المال بشكل محدد يخلق المال بشكل محدد
+
+190
+00:16:36,520 --> 00:16:36,820
+يخلق المال بشكل محدد يخلق المال بشكل محدد يخلق
+
+191
+00:16:36,820 --> 00:16:37,600
+المال بشكل محدد يخلق المال بشكل محدد يخلق المال
+
+192
+00:16:37,600 --> 00:16:38,440
+بشكل محدد يخلق المال بشكل محدد يخلق المال بشكل
+
+193
+00:16:38,440 --> 00:16:39,820
+محدد يخلق المال بشكل محدد يخلق المال بشكل محدد
+
+194
+00:16:39,820 --> 00:16:42,420
+يخلق المال بشكل محدد هيحصل فيه autoimmune disease
+
+195
+00:16:42,420 --> 00:16:45,700
+مثل ما قلنا من قبل كوهت بيهيف ماني بكتيريال أو
+
+196
+00:16:45,700 --> 00:16:49,620
+viral antigen can behave as a super antigen
+
+197
+00:16:49,620 --> 00:16:52,560
+وبالتالي it will activate different clone of T
+
+198
+00:16:52,560 --> 00:16:59,760
+cell بغض النظر عن الـ specificity في هذه الحالة
+
+199
+00:16:59,760 --> 00:17:05,240
+طبعًا تطبق مع الـ VB gene domain اللي بيكون موجود
+
+200
+00:17:05,240 --> 00:17:07,380
+outside the peptide binding domain
+
+201
+00:17:10,810 --> 00:17:16,630
+ماني كنزيرد موليكي لارستكتشار اللي هي الـ BAMs اللي 
+
+202
+00:17:16,630 --> 00:17:19,330
+موجودة على مايكرو أورجانيزم اللي هي الـ BAMs
+
+203
+00:17:19,330 --> 00:17:21,990
+سميناها pathogen associated molecular pattern
+
+204
+00:17:21,990 --> 00:17:26,750
+بتلعب دور كبير كاياش كـ polyclonal activator لـ بي
+
+205
+00:17:26,750 --> 00:17:31,110
+سيل طبعًا بتعتبر التلسنتر في هذه الحالة pattern
+
+206
+00:17:31,110 --> 00:17:36,270
+recognition molecule اللي مرتبط بالـ BAMB وبنشطرنا
+
+207
+00:17:36,270 --> 00:17:40,130
+الـ B-lymphocyte as well as other طبعًا cell,
+
+208
+00:17:40,670 --> 00:17:45,610
+lipopolysaccharides can polychronally activate الـ
+
+209
+00:17:45,610 --> 00:17:49,950
+mouse B-cell بما فيها الـ auto-reactive B-cell من
+
+210
+00:17:49,950 --> 00:17:53,730
+خلال interaction with receptor on the cell surface
+
+211
+00:17:53,730 --> 00:18:01,270
+اللي مرتبط بتولعك receptor 4 شفناها في الاشياء طبعًا
+
+212
+00:18:01,270 --> 00:18:08,090
+اليوم بيقولوا أنه أحد النظريات المطروحة أنه الـ
+
+213
+00:18:08,090 --> 00:18:10,770
+innate signaling through toll-like receptors
+
+214
+00:18:10,770 --> 00:18:15,190
+pathway may be a mechanism for activating
+
+215
+00:18:15,190 --> 00:18:20,070
+energetic B cell حتى الـ energetic B cell can be
+
+216
+00:18:20,070 --> 00:18:27,790
+activated trigger
+
+217
+00:18:27,790 --> 00:18:32,900
+of autoimmunity إيش هي العوامل اللي احنا قلنا بأنها
+
+218
+00:18:32,900 --> 00:18:37,340
+environmental factor ده الـ trigger اللي هو إن أنا
+
+219
+00:18:37,340 --> 00:18:42,860
+أخور chemical substance هورمون في الـ SLE بيقولوا هو
+
+220
+00:18:42,860 --> 00:18:46,720
+is ten times more common in women than in men
+
+221
+00:18:46,720 --> 00:18:52,700
+والسبب في ذلك الاستروجين Searching drug can
+
+222
+00:18:52,700 --> 00:18:56,780
+chemically alter T cell carrier epitope of a self
+
+223
+00:18:56,780 --> 00:19:01,750
+-antigen to render it immunogenic تحول الـ self
+
+224
+00:19:01,750 --> 00:19:08,750
+-antigen إلى immunogenic antigen نصف سبريسوف T
+
+225
+00:19:08,750 --> 00:19:14,990
+cell TS can contribute to autoimmune disease هي
+
+226
+00:19:14,990 --> 00:19:22,750
+طبعًا ت اسم شايفينها هي T suppressor cell which can
+
+227
+00:19:22,750 --> 00:19:27,330
+suppress the activity of both CD4 and CD8 فطبعًا
+
+228
+00:19:27,330 --> 00:19:31,840
+غيابها هيؤدي إلى cell related immunity بكثرة which
+
+229
+00:19:31,840 --> 00:19:35,080
+can lead to autoimmune disease يعني يشتغل كثير
+
+230
+00:19:35,080 --> 00:19:37,980
+وبالتالي بتغلط كثير وبالتالي بيصير فيه autoimmune
+
+231
+00:19:37,980 --> 00:19:41,300
+disease الناس اللي عندهم diabetes وعندهم
+
+232
+00:19:41,300 --> 00:19:46,080
+inflammatory bowel syndrome أيضًا عندهم قلة في الـ
+
+233
+00:19:46,080 --> 00:19:51,680
+TS cell  ناخد
+
+234
+00:19:51,680 --> 00:19:56,660
+أمثلة على الـ autoimmune disease وطبعًا نبدأ بالـ
+
+235
+00:19:57,940 --> 00:20:04,020
+أمثلة أو الأمراض اللي بيكون الـ antibody له دور
+
+236
+00:20:04,020 --> 00:20:13,000
+أساسي في الـ organ damage وأشهرها هذه أو بداية
+
+237
+00:20:13,000 --> 00:20:16,720
+نبدأ بالـ autoimmune hemolytic anemia كلنا بنعرف
+
+238
+00:20:16,720 --> 00:20:20,860
+أنه بيتكون auto antibody against RBCs antigen
+
+239
+00:20:20,860 --> 00:20:25,700
+وبالتالي بيصير فيه قلة في عدد الـ RBCs لأنها بتتكسر
+
+240
+00:20:26,980 --> 00:20:31,480
+والتكسير هيتم من خلال two mechanism الأولاني من
+
+241
+00:20:31,480 --> 00:20:36,100
+خلال activation of complement cascade كاملة يعني
+
+242
+00:20:36,100 --> 00:20:42,000
+للآخر ومحصلته eventual license of the cell وهذا
+
+243
+00:20:42,000 --> 00:20:47,840
+غالباً بنشوف hemoglobin or urea بوضوح عند المريض
+
+244
+00:20:47,840 --> 00:20:53,260
+ميكانيزم الثاني هو أنه يصير فيه optionization من
+
+245
+00:20:53,260 --> 00:21:00,290
+خلال أو الـ C3P على سطح الـ RBCs وهؤلاء لديهم
+
+246
+00:21:00,290 --> 00:21:03,570
+ريسبتور على سطح الماكروفيجي الموجودة في الـ
+
+247
+00:21:03,570 --> 00:21:06,670
+reticulum nucleus system يعني في الـ Spleen
+
+248
+00:21:06,670 --> 00:21:10,930
+وبالتالي أول ما تصل سيحصل فيه Antibody-coated RBCs
+
+249
+00:21:10,930 --> 00:21:17,550
+recognition أو complement-coated RBCs recognition
+
+250
+00:21:17,550 --> 00:21:21,850
+والمحصلة فالبوصيتوسيز وdestruction of the cell 
+
+251
+00:21:24,650 --> 00:21:28,630
+كان الانتيبادي المسئول عن الـ autoimmunohepatic
+
+252
+00:21:28,630 --> 00:21:33,610
+anemia يتم مقاطعه إلى اتجارات تجارية
+
+253
+00:21:33,610 --> 00:21:35,170
+تجاريّة تجاريّة تجاريّة تجاريّة تجاريّة تجاريّة
+
+254
+00:21:35,170 --> 00:21:37,310
+تجاريّة تجاريّة تجاريّة تجاريّة تجاريّة تجاريّة
+
+255
+00:21:37,310 --> 00:21:38,850
+تجاريّة تجاريّة تجاريّة تجاريّة تجاريّة تجاريّة
+
+256
+00:21:38,850 --> 00:21:39,590
+تجاريّة تجاريّة تجاريّة تجاريّة تجاريّة تجاريّة
+
+257
+00:21:39,590 --> 00:21:40,050
+تجاريّة تجاريّة تجاريّة تجاريّة تجاريّة تجاريّة
+
+258
+00:21:40,050 --> 00:21:48,030
+تجاريّة تجاريّة تجاريّة تجاريّة تجاريّة تجار
+
+259
+00:21:48,670 --> 00:21:52,850
+غالبا بيرتبطوا مع الـ RBCs فقط لما تكون درجة
+
+260
+00:21:52,850 --> 00:21:57,170
+الحرارة أقل من سبعة وثلاثين درجة مئوية و بيفكوا
+
+261
+00:21:57,170 --> 00:22:01,770
+يعني بيسيبوا الـ RBCs يوم ترتفع درجة الحرارة they
+
+262
+00:22:01,770 --> 00:22:05,390
+are IgM type and they are highly efficient in
+
+263
+00:22:05,390 --> 00:22:09,430
+activating complement وبالتالي المحصلة licenses
+
+264
+00:22:09,430 --> 00:22:10,470
+of RBCs
+
+265
+00:22:12,920 --> 00:22:16,220
+الواجهة دلوقت أيضا جهوتك أنيميا يمكن أن تكون اندوزت 
+
+266
+00:22:16,220 --> 00:22:21,460
+ببعض الأدوية مثل البنسلين والألفا مثال دوربا
+
+267
+00:22:21,460 --> 00:22:28,780
+وبعض المرات بنلاقي cold antibody تكونت بعد انفكاش
+
+268
+00:22:28,780 --> 00:22:36,340
+مع  التهاب رئوي أو بعض الفيروسات المرضية
+
+269
+00:22:36,340 --> 00:22:41,950
+التاني هو myasthenia gravis طبعا في هذه الحالة ال
+
+270
+00:22:41,950 --> 00:22:48,330
+target self-antigen هو الـ Acetylcholine receptor و
+
+271
+00:22:48,330 --> 00:22:52,950
+طبعا في هذه الحالة موجود على الـ neuromuscular
+
+272
+00:22:52,950 --> 00:22:56,970
+junction هو الـ Acetylcholine محتوى ال
+
+273
+00:22:56,970 --> 00:23:00,270
+neuromuscular junction و بالتالي موجود على ال
+
+274
+00:23:00,270 --> 00:23:04,190
+muscle cell و بالتالي الـ auto-antibody اللي بيتكون
+
+275
+00:23:04,190 --> 00:23:08,080
+بيلعب دور كبير as antagonist بعمل Blocking للـ
+
+276
+00:23:08,080 --> 00:23:11,440
+Acetylcholine Receptor فلما بيجي الـ Acetylcholine
+
+277
+00:23:11,440 --> 00:23:16,810
+يشتغل بيلاقي الـ Receptor مشغول وبالتالي ما بيصير
+
+278
+00:23:16,810 --> 00:23:23,570
+فيه neuromuscular junction يعني ما بيصير فيه
+
+279
+00:23:23,570 --> 00:23:28,070
+muscle function وبالتالي بيصير فيه weakness وطبعا
+
+280
+00:23:28,070 --> 00:23:33,850
+هذه محصلتها طبعا من مظاهرها و بيصير difficulty in
+
+281
+00:23:33,850 --> 00:23:38,510
+chewing, swallowing و breathing و في النهاية
+
+282
+00:23:38,510 --> 00:23:42,010
+بيصير فيه respiratory failure and death
+
+283
+00:23:44,940 --> 00:23:52,100
+العنوان يبدو أنه مرتبط بالـ Thymus المركولات
+
+284
+00:23:52,100 --> 00:23:57,440
+المتعاملة مع الـ Acetylcholine Receptor موجودة في العديد من
+
+285
+00:23:57,440 --> 00:24:02,440
+الأجسام في الـ Thymus مثل الـ Thymocytes و الـ
+
+286
+00:24:02,440 --> 00:24:07,300
+Epithelial cells وهي 
+
+287
+00:24:07,300 --> 00:24:12,560
+طبعا هي صورة واضحة جدا الانتيبادي ماشي
+
+288
+00:24:14,400 --> 00:24:28,100
+إيش عملت في هذه الحالة؟ عملت Blocking للـ Receptor
+
+289
+00:24:28,100 --> 00:24:30,480
+لإيش لإيش لإيش لإيش لإيش لإيش لإيش لإيش لإيش لإيش
+
+290
+00:24:30,480 --> 00:24:30,520
+لإيش لإيش لإيش لإيش لإيش لإيش لإيش لإيش لإيش لإيش
+
+291
+00:24:30,520 --> 00:24:35,720
+لإيش لإيش لإيش لإيش لإيش
+
+292
+00:24:35,720 --> 00:24:36,500
+لإيش لإيش لإيش لإيش لإيش لإيش لإيش لإيش لإيش لإيش
+
+293
+00:24:36,500 --> 00:24:41,240
+لإيش لإيش لإيش لإيش لإيش
+
+294
+00:24:41,240 --> 00:24:42,000
+لإ
+
+295
+00:24:44,510 --> 00:24:47,250
+في الـ Graves Disease الـ Antibody is stimulating
+
+296
+00:24:47,250 --> 00:24:50,610
+هنا الـ Antibody is inhibiting Antibody هنا
+
+297
+00:24:50,610 --> 00:24:54,930
+Stimulating Antibody بلعب دور كبير از ممسك في TSH
+
+298
+00:24:54,930 --> 00:25:00,650
+Receptor و TSH من احنا بنعرف انه ايش و مقوم بدوره
+
+299
+00:25:00,650 --> 00:25:04,410
+طبعا بنعرف انه بعمل activating للـ thyroid follicle
+
+300
+00:25:04,410 --> 00:25:09,010
+و بتطلع انها thyroid hormone فبالتالي محصلة اللي
+
+301
+00:25:09,010 --> 00:25:15,330
+هو الـ Graves Disease هو Hyperthyroidism ماشي ندى
+
+302
+00:25:15,330 --> 00:25:21,310
+تحقق نشوف ايه disease وقولنا هي hyperthyroidism
+
+303
+00:25:21,310 --> 00:25:27,870
+antibody directed against a hormone receptor اللي
+
+304
+00:25:27,870 --> 00:25:34,290
+بيعمل على تنشيط الـ receptor وبالتالي المحصلة طبعا
+
+305
+00:25:34,290 --> 00:25:37,830
+الـ hormone هو thyroid stimulating hormone و ال
+
+306
+00:25:37,830 --> 00:25:44,630
+interaction بيؤدي الى اللي هو نشاط الغدة لأنه
+
+307
+00:25:44,630 --> 00:25:50,490
+يتبعه كـ agonist ومحصلته طبعا hyperthyroidism
+
+308
+00:25:50,490 --> 00:25:59,250
+الأسئلة E برضه autoimmune disease مشهور باسم Red
+
+309
+00:25:59,250 --> 00:26:05,930
+wolf اللي هو الذئب الأحمر طبعا نتيجة الـ reddish
+
+310
+00:26:06,300 --> 00:26:11,360
+facial rash اللي موجودة على الـ cheeks و دي غالبا
+
+311
+00:26:11,360 --> 00:26:18,380
+بتعتبر early symptoms في هذه الحالة الـ disease
+
+312
+00:26:18,380 --> 00:26:23,940
+طبعا attacks many organs of the body وبيسبب fever,
+
+313
+00:26:24,100 --> 00:26:26,900
+joint pain, damage to the central nervous system,
+
+314
+00:26:27,220 --> 00:26:31,920
+to the heart, to the kidney وبالتالي كل عضو الجسم
+
+315
+00:26:31,920 --> 00:26:36,570
+ممكن يصيبه damage ومحصلته طبعا وفاة في النهاية
+
+316
+00:26:36,570 --> 00:26:42,350
+المشكلة في هذا المرض أنه there is not a systemic
+
+317
+00:26:42,350 --> 00:26:47,030
+pathway يعني ما فيش طريق يعني يعني مش كل مرة المرض
+
+318
+00:26:47,030 --> 00:26:54,910
+بيسلك نفس التسلسل في اللي هو تخريب أعضاء الجسم
+
+319
+00:26:54,910 --> 00:26:58,970
+أسهل patient produce antibodies against several
+
+320
+00:26:58,970 --> 00:27:02,490
+nuclear components منها الـ antinuclear antibody
+
+321
+00:27:03,020 --> 00:27:08,620
+هؤلاء أيضا مصادر ضد الـ Denaturated Single
+
+322
+00:27:08,620 --> 00:27:17,620
+-Stranded DNA وضد نيكليوهيستوز الـ Anti-Double
+
+323
+00:27:17,620 --> 00:27:24,440
+-Stranded DNA طبعا
+
+324
+00:27:24,440 --> 00:27:27,460
+بنشوفه بكثرة في الناس اللي عندهم خلال فرينة ال
+
+325
+00:27:27,460 --> 00:27:34,170
+involvement في الأسئلة E الإيجي أم الأنتيبوديات
+
+326
+00:27:34,170 --> 00:27:37,550
+تنتج من أجل الـ Single-Strand DNA يمكنها أن تتعامل
+
+327
+00:27:37,550 --> 00:27:42,490
+مع تغيير إيزوتيبي لتنتج إيجي جي عالي افينيتي الـ
+
+328
+00:27:42,490 --> 00:27:48,490
+Double-Strand DNA يتعامل .. يتعامل .. يتعامل ..
+
+329
+00:27:48,490 --> 00:27:49,910
+يتعامل .. يتعامل .. يتعامل .. يتعامل .. يتعامل ..
+
+330
+00:27:49,910 --> 00:27:51,630
+يتعامل .. يتعامل .. يتعامل .. يتعامل .. يتعامل ..
+
+331
+00:27:51,630 --> 00:27:54,770
+يتعامل .. يتعامل .. يتعامل .. يتعامل .. يتعامل ..
+
+332
+00:27:54,770 --> 00:27:56,470
+يتعامل .. يتعامل ..
+
+333
+00:28:00,190 --> 00:28:05,350
+Trapping of IgG Antibody or Anti-Double-Stranded
+
+334
+00:28:05,350 --> 00:28:11,990
+DNA بيؤدي لتكوين Immune Complexes في الـ glomerulus
+
+335
+00:28:11,990 --> 00:28:18,690
+وطبعا هذا بيؤدي لتنشيط الـ complement وبعمل
+
+336
+00:28:18,690 --> 00:28:24,910
+recruitment للـ granulocytes ومحصلة رينال دامج Anti
+
+337
+00:28:24,910 --> 00:28:27,970
+-Double-Stranded DNA Antibody بي cross-react
+
+338
+00:28:27,970 --> 00:28:33,660
+للـ glomerulus وهي طبعا زي الـ extent of inflammatory
+
+339
+00:28:33,660 --> 00:28:41,480
+reaction بتعتمد على أو هي من يحدد severity of
+
+340
+00:28:41,480 --> 00:28:45,820
+kidney pathology المحصلة
+
+341
+00:28:45,820 --> 00:28:48,840
+اللي قلناه glomerulonephritis و الـ severity طبعا
+
+342
+00:28:48,840 --> 00:28:53,580
+بتؤدي إلى leakage of protein من الـ blood من الـ
+
+343
+00:28:53,580 --> 00:29:00,740
+kidney وكل ما صارت الحالة chronic Inflammatory CD4
+
+344
+00:29:00,740 --> 00:29:06,200
+اللي دي الـ protein اللي هتنشطلنا الـ macrophage و ال
+
+345
+00:29:06,200 --> 00:29:10,600
+can attract monocytes الـ macrophage وبالتالي هذا
+
+346
+00:29:10,600 --> 00:29:17,140
+بيؤدي إلى pathological lesion وrenal failure أسئلة
+
+347
+00:29:17,140 --> 00:29:21,360
+كمان ممكن تنتج نتيجة الـ exposure to some common
+
+348
+00:29:21,360 --> 00:29:26,110
+environmental factor زي الـ ultraviolet light هرمون
+
+349
+00:29:26,110 --> 00:29:30,050
+وإنفكسيوز ايجانز يعني مش تعمل بقى فيروس وكلهم بلعب
+
+350
+00:29:30,050 --> 00:29:38,710
+دور في الـ etiology of disease يعني
+
+351
+00:29:38,710 --> 00:29:44,670
+you can cross react with nuclear antigen induction
+
+352
+00:29:44,670 --> 00:29:51,030
+أيضا by drugs زي الـ penicillamine كلورو برمازين
+
+353
+00:29:51,030 --> 00:29:57,110
+هيدرازينالشيء اللي يحدث هو أن مصادر الانترنكليات
+
+354
+00:29:57,110 --> 00:30:01,430
+تنتج مصادر الانترنكليات لشخص واحد.في الغرب،
+
+355
+00:30:01,430 --> 00:30:02,170
+المصادر اللي تدفعها للمصادر اللي تدفعها للمصادر
+
+356
+00:30:02,170 --> 00:30:03,170
+اللي تدفعها للمصادر اللي تدفعها للمصادر اللي
+
+357
+00:30:03,170 --> 00:30:06,790
+تدفعها للمصادر اللي تدفعها للمصادر اللي تدفعها
+
+358
+00:30:06,790 --> 00:30:08,710
+للمصادر اللي تدفعها للمصادر اللي تدفعها للمصادر
+
+359
+00:30:08,710 --> 00:30:12,710
+اللي تدفعها للمصادر اللي تدفعها للمصادر اللي
+
+360
+00:30:12,710 --> 00:30:15,650
+تدفعها للمصادر اللي تدفعها للمصادر اللي تدفعها
+
+361
+00:30:15,650 --> 00:30:21,690
+للمصادر الليبنجي لنوع تاني من الـ autoimmune
+
+362
+00:30:21,690 --> 00:30:25,890
+disease اللي بيكون في تيلينفوسايت العبدالكبير in
+
+363
+00:30:25,890 --> 00:30:31,810
+organ damage ونحكي على multiple sclerosis في ال
+
+364
+00:30:31,810 --> 00:30:39,070
+multiple sclerosis اللي بيصير فيه demyelination of
+
+365
+00:30:39,070 --> 00:30:45,050
+central nervous system tissue بينهري
+
+366
+00:30:45,050 --> 00:30:52,600
+الـ myelin sheath واحدة بيقدي إليها relapse or remitting
+
+367
+00:30:52,600 --> 00:30:57,600
+or progressive paralytic course يعني بحصلها في
+
+368
+00:30:57,600 --> 00:31:03,100
+الغالب شلل للبريد لأن الـ myelin sheath هي
+
+369
+00:31:03,100 --> 00:31:10,380
+المسئولة عن الـ neurotransmitter نيرو سيجال it's
+
+370
+00:31:10,380 --> 00:31:13,240
+considered to be a T cell mediated autoimmune
+
+371
+00:31:13,240 --> 00:31:17,980
+disease واللي بيصير في cellular infiltrate
+
+372
+00:31:17,980 --> 00:31:21,010
+associated with T الـ protein والنوع Delete type of
+
+373
+00:31:21,010 --> 00:31:27,490
+sensitivity mechanism class two أمدشي موليكيول
+
+374
+00:31:27,490 --> 00:31:35,570
+بيلعب دور كبير في الـ disease susceptibility الرابط
+
+375
+00:31:35,570 --> 00:31:38,390
+يعني اللي هو type one insulin diabetes mellitus
+
+376
+00:31:38,390 --> 00:31:44,710
+insulin dependent diabetes mellitus مجرد chronic
+
+377
+00:31:44,710 --> 00:31:48,670
+inflammatory destruction of the beta cell
+
+378
+00:31:50,840 --> 00:31:55,160
+في البنكرياس وهي عبارة عن insulin producing beta
+
+379
+00:31:55,160 --> 00:32:02,060
+islet cell of the بنكرياس وطبعا المسئول المباشر في
+
+380
+00:32:02,060 --> 00:32:05,340
+هذا الموضوع هو cytotoxic T cell التي تُهاجم هذه
+
+381
+00:32:05,340 --> 00:32:13,420
+الخلايا وتُولد cytokine والمهوء أيضًا بتؤدي إلى
+
+382
+00:32:13,420 --> 00:32:18,080
+antibody production تُهاجم الخلايا
+
+383
+00:32:28,320 --> 00:32:34,580
+النسبة لـ HLA type HLA
+
+384
+00:32:34,580 --> 00:32:39,140
+type HLA
+
+385
+00:32:39,140 --> 00:32:41,700
+type HLA type HLA type HLA type
+
+386
+00:32:41,700 --> 00:32:41,980
+HLA type HLA type HLA type HLA
+
+387
+00:32:41,980 --> 00:32:42,040
+type HLA type HLA type HLA type
+
+388
+00:32:42,040 --> 00:32:42,240
+HLA type HLA type HLA type HLA
+
+389
+00:32:42,240 --> 00:32:44,580
+type HLA type HLA type HLA type يوجد أن
+
+390
+00:32:44,580 --> 00:32:47,880
+50% من Insulin Dependent مرض اسمه latest
+
+391
+00:32:47,880 --> 00:32:54,320
+patient عندهم HLA-DR3 أربعة هيتيروزايدز positive و
+
+392
+00:32:54,320 --> 00:33:02,660
+individuals with HLA-DQP1 الذي هو 0602 rarely
+
+393
+00:33:02,660 --> 00:33:07,520
+develop the disease Hashimoto's
+
+394
+00:33:07,520 --> 00:33:14,360
+thyroiditis موجود في the middle aged women يؤدي لـ
+
+395
+00:33:14,360 --> 00:33:20,140
+Formation of Goiter وطبعا المحصلة Atrophy of the
+
+396
+00:33:20,140 --> 00:33:24,020
+thyroid gland الذي يؤدي في النهاية لـ
+
+397
+00:33:24,020 --> 00:33:27,400
+Hypothyroidism and Destruction of the thyroid
+
+398
+00:33:27,400 --> 00:33:34,040
+function غالبا المرض associated with T cell لكن ال
+
+399
+00:33:34,040 --> 00:33:39,920
+antibody تلعب دورًا كبيرًا في المرض Target antigen
+
+400
+00:33:39,920 --> 00:33:44,190
+include thyroglobulin، الميكروزومال انتيجين من الـ
+
+401
+00:33:44,190 --> 00:33:48,530
+Thyroid Epithelial Cell، و Antibodies of these antigens تم
+
+402
+00:33:48,530 --> 00:33:55,450
+اكتشافها. Infiltration of B cell andonuclear B cell and 
+
+403
+00:33:55,450 --> 00:34:00,050
+nuclear T cell and microfollicle يؤدي إلى الانتقال وإدماج من
+
+404
+00:34:00,050 --> 00:34:06,310
+the thyroid follicle وبالتالي الغدة تحاول الانتقال
+
+405
+00:34:06,310 --> 00:34:11,640
+وتصبح كبيرة رد فعل طبيعي إنه تعمل
+
+406
+00:34:11,640 --> 00:34:16,940
+Regeneration وبالتالي تبدأ تكبر when destruction
+
+407
+00:34:16,940 --> 00:34:23,380
+continues Symptoms of hypothyroidism appear مثال
+
+408
+00:34:23,380 --> 00:34:29,000
+آخر when one has arthritis chronically inflamed
+
+409
+00:34:29,000 --> 00:34:37,010
+synovium ويصبح مزدحم بكثافة مع lymphocyte
+
+410
+00:34:37,010 --> 00:34:43,690
+محصلة destruction of the cartilage and bone طبعا
+
+411
+00:34:43,690 --> 00:34:49,710
+Synovium is densely packed with dendritic cell,
+
+412
+00:34:49,810 --> 00:34:53,890
+macrophage, T cell, B cell, NK cell, and clumps of
+
+413
+00:34:53,890 --> 00:34:57,790
+plasma cell وفي بعض الأحيان يصبح فيه secondary
+
+414
+00:34:57,790 --> 00:35:04,620
+follicle Pathology هو عبارة عن محصلة
+
+415
+00:35:04,620 --> 00:35:08,240
+لـ mixture of immunopathological mechanism خصوصا
+
+416
+00:35:08,240 --> 00:35:11,680
+Immune Complexes Formation Complement
+
+417
+00:35:11,680 --> 00:35:16,610
+Activity Polymorphic Nuclear Infiltration والـ
+
+418
+00:35:16,610 --> 00:35:21,230
+inflammatory CD4 والـ CD8 والـ cytotoxic T
+
+419
+00:35:21,230 --> 00:35:25,870
+-lymphocyte مع الـ activated macrophage والـ unk
+
+420
+00:35:25,870 --> 00:35:29,890
+cell والـ cell-mediated immunity كلها ابتدال عن
+
+421
+00:35:29,890 --> 00:35:30,150
+ذلك
+
+422
+00:35:35,260 --> 00:35:38,900
+A variety of cytokines كلهم عبارة عن خلايا مبطنة
+
+423
+00:35:38,900 --> 00:35:43,020
+كلهم يُفرزون cytokine أشهر هذا ال cytokine human
+
+424
+00:35:43,020 --> 00:35:47,720
+necrosis factor alpha و IL-1 و degradative enzymes
+
+425
+00:35:47,720 --> 00:35:52,380
+و بعض ال mediators that destroy the integrity of
+
+426
+00:35:52,380 --> 00:35:57,840
+cartilage Chondrocytes خلايا الغضروف طبعا
+
+427
+00:35:57,840 --> 00:36:02,360
+تصبح مكشوفة للجهاز المناعي سنويا الفلود
+
+428
+00:36:02,360 --> 00:36:07,690
+في الغالب تتجمع في جدار الـ Arthritis الروماتوية
+
+429
+00:36:07,690 --> 00:36:13,330
+ويحتوي على عدد كبير من Polymorphic Nuclear Cell
+
+430
+00:36:13,330 --> 00:36:23,170
+والفيبرين
+
+431
+00:36:23,170 --> 00:36:28,390
+تم ترسيبه ويتم ترسيبه بالفيبراستيشو وجدار
+
+432
+00:36:28,390 --> 00:36:30,290
+الأنكلوز
+
+433
+00:36:36,600 --> 00:36:46,060
+IgM روماتويد فاكتور يرتبط بجزء Fc
+
+434
+00:36:46,060 --> 00:37:01,280
+لـ IgG الطبيعي على جزيء IgG روماتويد
+
+435
+00:37:01,280 --> 00:37:09,770
+فاكتور مفيد of disease activity وغالبا
+
+436
+00:37:09,770 --> 00:37:15,590
+وجدوه يصل إلى remission during يصبح فيه مستوى منخفض
+
+437
+00:37:15,590 --> 00:37:22,270
+during remission مثال الأخير أظن أن ال autoimmune
+
+438
+00:37:22,270 --> 00:37:28,620
+disease الذي ناتج عن كمبلمنت كمبلمنت كمبلمنت
+
+439
+00:37:28,620 --> 00:37:33,700
+كمبلمنت كمبلمنت كمبلمنت كمبلمنت كمبلمنت كمبلمنت
+
+440
+00:37:33,700 --> 00:37:35,840
+كمبلمنت كمبلمنت كمبلمنت كمبلمنت كمبلمنت كمبلمنت
+
+441
+00:37:35,840 --> 00:37:41,820
+كمبلمنت كمبلمنت كمبلمنت كمبلمنت كمبلمنت كمبلمنت
+
+442
+00:37:41,820 --> 00:37:41,880
+كمبلمنت كمبلمنت كمبلمنت كمبلمنت كمبلمنت كمبلمنت
+
+443
+00:37:41,880 --> 00:37:42,360
+كمبلمنت كمبلمنت كمبلمنت كمبلمنت كمبلمنت كمبلمنت
+
+444
+00:37:42,360 --> 00:37:51,720
+كمبلمنت كمبلمنت كمبلمنت كمبلمنت كمبلمنت كمبلمنت
+
+445
+00:37:51,950 --> 00:37:55,510
+Complement Clearance Mechanism as in Serum
+
+446
+00:37:55,510 --> 00:38:00,750
+Sickness يعني لا يصلها Clearance Deficiency in
+
+447
+00:38:00,750 --> 00:38:06,190
+complement 4 يقصد ثلاثة يؤدي لـ الفشل to clear
+
+448
+00:38:06,190 --> 00:38:11,770
+immune complexes by macrophage أسأل ماذا يحدث أكثر
+
+449
+00:38:11,770 --> 00:38:14,530
+من 80% من الأفراد عندهم complement
+
+450
+00:38:14,530 --> 00:38:17,930
+deficiency of C1 وC4 وC2
+
+451
+00:38:21,850 --> 00:38:26,150
+Therapeutic Strategies ماذا يفعلون في هذه الحالة؟ يفعلون
+
+452
+00:38:26,150 --> 00:38:29,470
+Cytotoxic Drugs مثل الـ cyclophosphamide والـ
+
+453
+00:38:29,470 --> 00:38:36,060
+azathioprine هؤلاء يُهاجمون DNA Replication ويُهاجمون
+
+454
+00:38:36,060 --> 00:38:43,780
+بشكل أسرع جسم البطالة بشكل أسرع بشكل أسرع بشكل
+
+455
+00:38:43,780 --> 00:38:44,420
+أسرع بشكل أسرع بشكل أسرع بشكل أسرع بشكل أسرع بشكل
+
+456
+00:38:44,420 --> 00:38:47,100
+أسرع بشكل أسرع بشكل أسرع بشكل أسرع بشكل أسرع بشكل
+
+457
+00:38:47,100 --> 00:38:47,140
+أسرع بشكل أسرع بشكل أسرع بشكل أسرع بشكل أسرع بشكل
+
+458
+00:38:47,140 --> 00:38:47,220
+أسرع بشكل أسرع بشكل أسرع بشكل أسرع بشكل أسرع بشكل
+
+459
+00:38:47,220 --> 00:38:55,540
+أسرع بشكل أسرع بشكل أسرع بشكل أسرع بشكل
+
+460
+00:38:55,540 --> 00:39:02,200
+Anti Cytokine Therapy بلق أو tumor necrosis factor
+
+461
+00:39:02,200 --> 00:39:06,060
+alpha by antibody or soluble receptor for
+
+462
+00:39:06,060 --> 00:39:10,580
+rheumatoid arthritis. Inhibition of IL-1 beta by
+
+463
+00:39:10,580 --> 00:39:16,360
+soluble receptor also seems a useful strategy in
+
+464
+00:39:16,360 --> 00:39:22,280
+rheumatoid arthritis. These immunomodulatory agents
+
+465
+00:39:23,780 --> 00:39:27,020
+تُمنحنا انفلامات ردود طبعا إذا عملنا Blockage
+
+466
+00:39:27,020 --> 00:39:33,680
+لـ IL-1 beta نوقف نشاطه interferon beta هو
+
+467
+00:39:33,680 --> 00:39:38,400
+يستخدم للتعامل مع التصلب المتعدد من خلال
+
+468
+00:39:38,400 --> 00:39:44,820
+الـ antibody إلى CD3 برضه فحصوه جيدًا في ال
+
+469
+00:39:44,820 --> 00:39:51,180
+autoimmune diabetes Costimulatory Blockade مثل ال
+
+470
+00:39:52,450 --> 00:39:56,170
+طبعا CTLA-4 و Blockade تظهر
+
+471
+00:39:56,170 --> 00:40:00,830
+promising في rheumatoid arthritis and psoriasis بلطق
+
+472
+00:40:00,830 --> 00:40:06,610
+ببتيدات that bind to MHC group but not capable of
+
+473
+00:40:06,610 --> 00:40:11,230
+activating a given T cell have been used to induce
+
+474
+00:40:11,230 --> 00:40:17,010
+tolerance in rodent models يعني أدخلوا ببتيد ترتبط
+
+475
+00:40:17,010 --> 00:40:20,590
+بالـ MHC molecule وبالتالي خلاص مشغول ما فيش
+
+476
+00:40:20,590 --> 00:40:26,190
+إمكانية أنه تعمل الخلايا تعمل Antigen Presentation
+
+477
+00:40:26,190 --> 00:40:31,410
+T cell receptor have been administered to patients
+
+478
+00:40:31,410 --> 00:40:38,310
+as an immunogen in an effort to raise a clonotype
+
+479
+00:40:38,310 --> 00:40:41,270
+specific cytotoxic T cell
+
+480
+00:40:44,980 --> 00:40:52,700
+يعني هنا أدخلوا Receptor وحصلت على اعتبار الجسم
+
+481
+00:40:52,700 --> 00:40:57,220
+كمستضد وطبعا نشرت لنا site toxic T lymphocyte
+
+482
+00:40:57,220 --> 00:41:02,900
+التي عملت destruction للخلايا generation of T
+
+483
+00:41:02,900 --> 00:41:07,460
+suppressor cell in autoimmune individuals برضه هذا
+
+484
+00:41:07,460 --> 00:41:14,350
+عبارة عن علاج طبعا هي ال autoimmune disease والـ
+
+485
+00:41:14,350 --> 00:41:20,030
+MHC association with which الأليل commonly found
+
+486
+00:41:20,030 --> 00:41:25,830
+strength of association العلاقة بين الأمراض والـ
+
+487
+00:41:25,830 --> 00:41:31,610
+MHC جين والأليل التي تكون موجودة طبعا هذا علاقة
+
+488
+00:41:31,610 --> 00:41:38,010
+مكتوبة strength أو weak يعني وجود الأليل التي تبع
+
+489
+00:41:38,010 --> 00:41:44,660
+الـ MHC molecule ماشي بهذه الاقامبيؤدي إلى أن
+
+490
+00:41:44,660 --> 00:41:49,040
+المرض يصبح high risk of age inducing such diseases
+
+491
+00:41:49,040 --> 00:41:54,740
+أنا
+
+492
+00:41:54,740 --> 00:41:57,780
+ال autoimmune disease وال auto antigen التي
+
+493
+00:41:57,780 --> 00:42:05,920
+يُسمى مهاجمة ومَن الذي يُهاجم مَن
+
+494
+00:42:05,920 --> 00:42:14,640
+الذي يُهاجم وبهذا نكون قد أنهينا المحاضرة شكرًا
+
+495
+00:42:14,640 --> 00:42:15,480
+بالمتابعة 
diff --git a/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/hvyPC5Qp3dE.srt b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/hvyPC5Qp3dE.srt
new file mode 100644
index 0000000000000000000000000000000000000000..724301c409a4adfa241c69982b648da260e704de
--- /dev/null
+++ b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/hvyPC5Qp3dE.srt
@@ -0,0 +1,1911 @@
+1
+00:00:01,890 --> 00:00:04,870
+بسم الله الرحمن الرحيم والصلاة والسلام على سيد
+
+2
+00:00:04,870 --> 00:00:10,110
+الخلق الأجمعين سيدنا محمد الصادق الأمين وبعد
+
+3
+00:00:10,110 --> 00:00:13,410
+محاضرتنا اليوم على Regulation of the immune
+
+4
+00:00:13,410 --> 00:00:19,350
+response.  الـImmune response هي عبارة عن  of 
+
+5
+00:00:19,350 --> 00:00:24,090
+control mechanism. ليس ميكانيزم  الذي works
+
+6
+00:00:26,810 --> 00:00:31,750
+الشباب موجودين في حالتهم الانتجينية لكنهم بيشتغلوا
+
+7
+00:00:31,750 --> 00:00:42,550
+يوم الانتجين لا يزال موجودًا، يعني يوم ما نتخلص من
+
+8
+00:00:42,550 --> 00:00:47,710
+الانتجين مافي داعي لشغل هذه الميكانيزمات. تشتغل يوم
+
+9
+00:00:47,710 --> 00:00:53,130
+ما نبطل نحتاج إلى الـ Immune response. كيف تعمل هذه
+
+10
+00:00:53,130 --> 00:00:58,450
+الميكانيزمات؟ قالوا بتعمل  لأنه بتؤثر على العوامل التي
+
+11
+00:00:58,450 --> 00:01:03,630
+تؤثر في الـ Immune response. وهذه العوامل عدة منها 
+
+12
+00:01:03,630 --> 00:01:06,650
+the form and route of administration of antigen.
+
+13
+00:01:07,550 --> 00:01:10,610
+Antigen presenting cell, genetic background of
+
+14
+00:01:10,610 --> 00:01:14,790
+individual, history of previous exposure and
+
+15
+00:01:14,790 --> 00:01:19,930
+specific antibody. Also may modulate the immune
+
+16
+00:01:19,930 --> 00:01:24,330
+response to an antigen. هنبدأ نحكي على كل واحد على
+
+17
+00:01:24,330 --> 00:01:28,570
+حد إن شاء الله ونبدأ 
+
+18
+00:01:36,410 --> 00:01:45,690
+بالأول هذه العوامل وهي Regulation by antigen. نقل
+
+19
+00:01:45,690 --> 00:01:51,410
+واحد Nature of antigen. طبعا نعرف إنه Different
+
+20
+00:01:51,410 --> 00:01:54,370
+antigen ممكن تعمل إن هي تعمل Different immune responses.
+
+21
+00:01:55,780 --> 00:02:00,720
+فعلى سبيل المثال Polysaccharides antigen أو
+
+22
+00:02:00,720 --> 00:02:06,020
+بكتيريا Cell membrane وبكتيريا induce IgM
+
+23
+00:02:06,020 --> 00:02:10,520
+response بينما البروتين Can induce both cell
+
+24
+00:02:10,520 --> 00:02:13,840
+-mediated immunity and humoral immune response.
+
+25
+00:02:13,840 --> 00:02:16,560
+والمقصود بـ Humoral immune response يعني Antibody
+
+26
+00:02:16,560 --> 00:02:22,420
+production. هم أيضا الـ  انتجين للكائن الحي بإمكانها تدخل
+
+27
+00:02:22,420 --> 00:02:26,580
+الـ Cell-mediated immune response بينما البروتين
+
+28
+00:02:26,580 --> 00:02:28,840
+الصليبلي بإمكانها تدخل الـ Humoral immune response.
+
+29
+00:02:28,840 --> 00:02:33,680
+أيضًا الـ Cell-mediated immunity بإمكانها تدخل أو
+
+30
+00:02:33,680 --> 00:02:40,060
+تدخل من أجسام مثل سيليكا.  نمرة اتنين Dose antigen.
+
+31
+00:02:40,060 --> 00:02:43,360
+كمية الانتجين اللي بتدخل. على سبيل الـ Very Large
+
+32
+00:02:43,360 --> 00:02:47,040
+Dose بإمكانها تدخل الـ Tolerance for P and T Cell.
+
+33
+00:02:47,040 --> 00:02:50,440
+بينما
+
+34
+00:02:51,720 --> 00:02:56,260
+أيضا Administration of antigen أيضا to neonate
+
+35
+00:02:56,260 --> 00:03:00,540
+mice غالبا بيحصل فيه Tolerance في هذه المرحلة.
+
+36
+00:03:00,540 --> 00:03:06,800
+بيقولوا لإن الـ Immune response is immature بما في
+
+37
+00:03:06,800 --> 00:03:12,620
+حين الـ Recent study أثبتت على إنه أيضا الـ Neonate
+
+38
+00:03:12,620 --> 00:03:17,150
+mice can develop efficient immune response. النقطة
+
+39
+00:03:17,150 --> 00:03:22,130
+التانية T-independent polysaccharide antigen can
+
+40
+00:03:22,130 --> 00:03:26,830
+generate Tolerance للبروتين فالسيوم ما اندخلها
+
+41
+00:03:26,830 --> 00:03:31,050
+بكميات كبيرة. احنا عارفين الفرق بين الـ T I والـ T
+
+42
+00:03:31,050 --> 00:03:35,090
+dependent antigen.
+
+43
+00:03:37,210 --> 00:03:39,830
+النقطة التالتة بالنسبة للانتيجين الـ Route of
+
+44
+00:03:39,830 --> 00:03:43,170
+administration. كيف يدخل للانتيجين؟ قالوا اللي له
+
+45
+00:03:43,170 --> 00:03:47,950
+دخل كبير في عملية اللي هو الـ Control of immune
+
+46
+00:03:47,950 --> 00:03:50,870
+response. فعلى سبيل المثال Subcutaneous والـ Intra
+
+47
+00:03:50,870 --> 00:03:55,050
+dermal administration للانتيجين Can induce strong
+
+48
+00:03:55,050 --> 00:03:59,230
+immune response. بينما الـ Intravenous والـ Oral and
+
+49
+00:03:59,230 --> 00:04:02,310
+erosal may cause Tolerance.
+
+50
+00:04:05,290 --> 00:04:10,450
+حاجة تانية التجربة أثبتت إن الـ Mice اللي بنعطى
+
+51
+00:04:10,450 --> 00:04:16,070
+Subcutaneous peptide أو antigen مرتبطة بـ  Fronds
+
+52
+00:04:16,070 --> 00:04:23,710
+adjuvant. لسبب مثال كوريو نينجايتس فيروس مثلا.
+
+53
+00:04:27,970 --> 00:04:33,390
+بينما إذا كان أعطينا Repeated injection of the
+
+54
+00:04:33,390 --> 00:04:38,290
+same antigen لكن Intra peritoneally مش Intra مش
+
+55
+00:04:38,290 --> 00:04:42,610
+Subcutaneously it will induce Tolerance.
+
+56
+00:04:46,920 --> 00:04:50,160
+الحاجة التانية اللي هو الـ Antigen presenting cell
+
+57
+00:04:50,160 --> 00:04:52,720
+اللي بيبقى حاكينا عن الـ Antigen. نقطة تانية Antigen
+
+58
+00:04:52,720 --> 00:04:54,900
+presenting cell. كلنا بنعرف إن الـ Antigen
+
+59
+00:04:54,900 --> 00:04:58,080
+presenting cell تقسم إلى نوعين Professional وNon
+
+60
+00:04:58,080 --> 00:05:02,160
+professional. الـ Professional اللي هي التلاتة أنواع
+
+61
+00:05:02,160 --> 00:05:05,400
+الأساسية Macrophage, Dendritic cell وMelanophosite
+
+62
+00:05:05,400 --> 00:05:10,640
+وسميناهم Professional لإن هم يستطيعون تفكير
+
+63
+00:05:10,640 --> 00:05:14,100
+موليكيول
+
+64
+00:05:14,100 --> 00:05:15,320
+كوستيميلاتوري
+
+65
+00:05:17,990 --> 00:05:21,790
+وبالتالي يجب أن يكون هناك امارسي موليكيول مع كوستي
+
+66
+00:05:21,790 --> 00:05:25,750
+مداتري موليكيول مبناطه في افكتف اكتفيش
+
+67
+00:05:25,750 --> 00:05:29,930
+للتيليمفوسايت لأنهم يوضعون الانتجنت لتيليمفوسايت
+
+68
+00:05:29,930 --> 00:05:35,050
+أيضا نقطة تانية اللي قلناها يجب أن يكون هناك اتفاق
+
+69
+00:05:35,050 --> 00:05:39,590
+بين CD4T ليجند اللي موجود على التيليمفوسايت وCD4T
+
+70
+00:05:39,590 --> 00:05:44,250
+اللي موجود على الدنترتيكسل. مهم جدا في إنتاج IL-12
+
+71
+00:05:44,250 --> 00:05:46,590
+و IL-12 بعمل ديرين
+
+72
+00:06:01,640 --> 00:06:06,460
+نقطة تانية إذا الانتجار مواجه تي سيل بالنسبة لـ Non
+
+73
+00:06:06,460 --> 00:06:11,660
+-Professional كما قلنا هؤلاء الجسد لا يستطيع أن
+
+74
+00:06:11,660 --> 00:06:12,840
+يقدر يقدر يقدر يقدر يقدر يقدر يقدر يقدر يقدر يقدر
+
+75
+00:06:12,840 --> 00:06:13,020
+يقدر يقدر يقدر يقدر يقدر يقدر يقدر يقدر يقدر يقدر
+
+76
+00:06:13,020 --> 00:06:18,300
+يقدر يقدر يقدر يقدر يقدر يقدر يقدر يقدر يقدر يقدر
+
+77
+00:06:18,300 --> 00:06:18,600
+يقدر يقدر يقدر يقدر يقدر يقدر يقدر يقدر يقدر يقدر
+
+78
+00:06:18,600 --> 00:06:18,620
+يقدر يقدر يقدر يقدر يقدر يقدر يقدر يقدر يقدر يقدر
+
+79
+00:06:18,620 --> 00:06:23,940
+يقدر يقدر يقدر يقدر يقدر يقدر يقدر يقدر يقدر يقدر
+
+80
+00:06:38,400 --> 00:06:42,380
+النقطة التالتة هي Regulation by antibody. طبعا كلنا
+
+81
+00:06:42,380 --> 00:06:46,880
+بنعرف إن الـ Antibody له دور كبير في عملية الـ
+
+82
+00:06:46,880 --> 00:06:53,440
+immune response either stimulate أو suppress. على
+
+83
+00:06:53,440 --> 00:07:00,680
+سبيل المثال يوم تعطي IgM انتيجين it will induce و
+
+84
+00:07:00,680 --> 00:07:05,720
+enhance immune response. بينما يوم تعطي IgG
+
+85
+00:07:05,720 --> 00:07:07,060
+antibody 
+
+86
+00:07:08,930 --> 00:07:15,750
+سوف تتخلص من أجهزة المناعة. الانفجار الانفجار
+
+87
+00:07:15,750 --> 00:07:20,830
+الانفجار الـ Vaccine for Moms and Measles بتأخر
+
+88
+00:07:20,830 --> 00:07:26,490
+لبعد الست شهور الأولى من الولادة، ليش؟ لأنه لسه
+
+89
+00:07:26,490 --> 00:07:33,490
+IgG-Titer of Maternal IgG-Titer still is high for
+
+90
+00:07:33,490 --> 00:07:38,130
+the first six months after. فيها درس، فبيأخروا عشان
+
+91
+00:07:38,130 --> 00:07:42,680
+ما يؤثرش على الـ Immune response. أيضا الـ RH
+
+92
+00:07:42,680 --> 00:07:45,320
+incompatibility. الـ Anti-RH هو واضح عن الـ Anti
+
+93
+00:07:45,320 --> 00:07:46,060
+-IgG.
+
+94
+00:07:51,840 --> 00:07:57,620
+الانتيجين الانتيبادي يمكنه أيضًا بلق الانتراكشن بين
+
+95
+00:07:57,620 --> 00:08:04,880
+الابيطوبات والمحطات الاميونغلوبيلين بي سيل
+
+96
+00:08:04,880 --> 00:08:06,800
+الاميونغلوبيلين بي سيل. الـ B Cell الـ B Cell الـ B
+
+97
+00:08:06,800 --> 00:08:07,060
+Cell الـ B Cell الـ B Cell الـ B Cell الـ B Cell الـ B
+
+98
+00:08:07,060 --> 00:08:07,100
+Cell الـ B Cell الـ B Cell الـ B Cell الـ B Cell الـ B
+
+99
+00:08:07,100 --> 00:08:08,520
+Cell الـ B Cell الـ B Cell الـ B Cell الـ B Cell الـ B
+
+100
+00:08:08,520 --> 00:08:12,860
+Cell الـ B Cell الـ B Cell الـ B Cell الـ B Cell الـ B
+
+101
+00:08:12,860 --> 00:08:13,460
+Cell الـ B Cell الـ B Cell الـ B Cell الـ B Cell الـ B
+
+102
+00:08:13,460 --> 00:08:20,910
+Cell الـ B Cell الـ B Cell الـ B Cell. بالتالي لديه دور
+
+103
+00:08:20,910 --> 00:08:25,510
+في عملية الـ Regulation المهمة لها أربعة دي
+
+104
+00:08:25,510 --> 00:08:28,650
+Regulation
+
+105
+00:08:28,650 --> 00:08:30,550
+of lymphocytes.
+
+106
+00:08:32,150 --> 00:08:36,810
+في عملية تحديد نوع الـ Immune response. ففي عندنا
+
+107
+00:08:36,810 --> 00:08:41,230
+Different subset of T-Helper cell. These kind of
+
+108
+00:08:41,230 --> 00:08:44,470
+cells that can differentiate either to T-Helper
+
+109
+00:08:44,470 --> 00:08:49,210
+one or T-Helper two. وكل واحدة اللي هي type of
+
+110
+00:08:49,210 --> 00:08:52,210
+immune response. فـ T-Helper one على سبيل المثال
+
+111
+00:08:52,210 --> 00:08:57,850
+induce اللي هو Cell-mediated الانفجار الانفجار الانفجار
+
+112
+00:08:57,850 --> 00:09:02,170
+الانفجار
+
+113
+00:09:02,170 --> 00:09:05,770
+الانفجار الانفجار الانفجار الانفجار الانفجار
+
+114
+00:09:05,770 --> 00:09:05,890
+الانفجار الانفجار الانفجار الانفجار الانفجار
+
+115
+00:09:05,890 --> 00:09:06,310
+الانفجار الانفجار الانفجار الانفجار الانفجار
+
+116
+00:09:06,310 --> 00:09:07,610
+الانفجار الانفجار الانفجار الانفجار الانفجار
+
+117
+00:09:07,610 --> 00:09:09,950
+الانفجار الانفجار الانفجار الانفجار الانفجار
+
+118
+00:09:09,950 --> 00:09:12,910
+الانفجار الانفجار الانفجار الانفجار الانفو. طبعاً
+
+119
+00:09:12,910 --> 00:09:21,750
+فينا Different types of T-Helper cell subsets. فينا
+
+120
+00:09:21,750 --> 00:09:30,530
+Th1 و فينا TR1 و فينا TEM. كلهم خلايا على سطحهم
+
+121
+00:09:30,530 --> 00:09:32,070
+CD4 positive.
+
+122
+00:09:35,710 --> 00:09:40,390
+Foxp3 هو من يحدد الـ Expression of other
+
+123
+00:09:40,390 --> 00:09:47,330
+receptor على سطح الخلايا. ماشي. كل واحدة إن هي لها دور
+
+124
+00:09:47,330 --> 00:09:52,920
+معين. فعلى سبيل ... وبتفرز Cytokine معين. على سبيل
+
+125
+00:09:52,920 --> 00:09:57,620
+المثال Treg secrete Transforming Growth Factor Beta. 
+
+126
+00:09:57,620 --> 00:10:03,700
+أروان تعطينا aisle 10 بينما تي اي ام تعطينا aisle 
+
+127
+00:10:03,700 --> 00:10:08,560
+2 جامع انترفيرون عن aisle 4 وتخيلوا كل واحد له دور
+
+128
+00:10:08,560 --> 00:10:13,920
+معين فيا CD4 positive في كل الخلايا can be
+
+129
+00:10:13,920 --> 00:10:20,080
+differentiated CD4 positive to CD25 negative بثلاثة
+
+130
+00:10:20,080 --> 00:10:23,730
+negative في الأساس إذا في وجود Transforming Growth
+
+131
+00:10:23,730 --> 00:10:26,310
+Factor Beta بيصير فيه Expression لـ Other
+
+132
+00:10:26,310 --> 00:10:33,010
+Receptors زي CD25 وFoxP3 Positive وبتسموا الخلية
+
+133
+00:10:33,010 --> 00:10:38,210
+في هذا الحالة Induced Treg Which Can Secret Large
+
+134
+00:10:38,210 --> 00:10:41,790
+Amount Of Transforming Growth Factor Beta By Cell
+
+135
+00:10:41,790 --> 00:10:45,210
+To Solve Contact And Inhibit The Immune Response
+
+136
+00:10:45,210 --> 00:10:51,090
+أيضا في وجود هذه الخلية في وجود الـ Antigen Still
+
+137
+00:10:52,390 --> 00:10:58,930
+بتدل زي ما هي و بتتحول الى الـ TEM effector memory
+
+138
+00:10:58,930 --> 00:11:02,790
+cell which can induce immune response من خلال
+
+139
+00:11:02,790 --> 00:11:05,390
+إفراز certain cytokines زي ال IL-2 gamma
+
+140
+00:11:05,390 --> 00:11:12,750
+interferon IL-4 and other cytokine أيضا في وجود IL
+
+141
+00:11:12,750 --> 00:11:18,950
+-10 هذه الخلية can express FOXP3 positive و يدل ال
+
+142
+00:11:18,950 --> 00:11:23,760
+CD25 negative و بيسموها TR1 الذي يمكن أن يحفظ الـ IL
+
+143
+00:11:23,760 --> 00:11:29,700
+-10 وهو الـ inhibitory cytokine اللي يمكن أن يهبط
+
+144
+00:11:29,700 --> 00:11:34,120
+اكتفاء الديه البار
+
+145
+00:11:41,340 --> 00:11:45,540
+أيو تيرينج هذا شريح طبعا للصيادين هذوله شريح لماذا
+
+146
+00:11:45,540 --> 00:11:51,580
+شرحته على الفيجر أيو تيرينج cell selectively
+
+147
+00:11:51,580 --> 00:11:55,460
+express FoxP3 وده عبارة عن transcriptional
+
+148
+00:11:55,460 --> 00:11:59,680
+factor essential for the development and function
+
+149
+00:11:59,680 --> 00:12:07,440
+of CD4 وCD25 and  the mutation في FoxP3
+
+150
+00:12:07,440 --> 00:12:13,350
+وجدوا بعمل Immune dysregulation يبقى مهم جدا
+
+151
+00:12:13,350 --> 00:12:17,430
+لـ FoxP3 فيها expression of other اللي هو
+
+152
+00:12:17,430 --> 00:12:23,990
+الريسبتر على سطح الخلايا CD4 positive CD25
+
+153
+00:12:23,990 --> 00:12:27,630
+positive ماشي هيتاريك have immune suppression
+
+154
+00:12:27,630 --> 00:12:32,130
+function شو بتعمل prevent self reactivity يعني
+
+155
+00:12:32,130 --> 00:12:33,890
+prevent autoimmunity
+
+156
+00:12:36,760 --> 00:12:41,620
+هذا الـ T-Reg يمكن أن يعمل أيضًا في الوصول إلى
+
+157
+00:12:41,620 --> 00:12:43,700
+الوصول إلى الوصول إلى الوصول إلى الوصول إلى الوصول
+
+158
+00:12:43,700 --> 00:12:44,200
+إلى الوصول إلى الوصول إلى الوصول إلى الوصول إلى
+
+159
+00:12:44,200 --> 00:12:46,860
+الوصول إلى الوصول إلى الوصول إلى الوصول إلى الوصول
+
+160
+00:12:46,860 --> 00:12:48,320
+إلى الوصول إلى الوصول إلى الوصول إلى الوصول إلى
+
+161
+00:12:48,320 --> 00:12:49,860
+الوصول إلى الوصول إلى الوصول إلى الوصول إلى الوصول
+
+162
+00:12:49,860 --> 00:12:50,760
+الوصول إلى الوصول إلى الوصول إلى الوصول إلى الوصول
+
+163
+00:12:50,760 --> 00:12:55,500
+إلى الوصول
+
+164
+00:12:55,500 --> 00:12:56,940
+إلى الوصول
+
+165
+00:13:00,330 --> 00:13:04,830
+على إضافة لـ naturally occurring CD4 positive CD25
+
+166
+00:13:04,830 --> 00:13:13,390
+positive Treg التي تم تجريها في الـ Thymus يوجد
+
+167
+00:13:13,390 --> 00:13:20,290
+نوع من الـ CD4 regulatory cell يمكن أن يتم تطبيقه
+
+168
+00:13:20,290 --> 00:13:24,990
+في الـ periphery نوعين مهمين جدا، واحد اسمه TR1
+
+169
+00:13:24,990 --> 00:13:25,570
+والثاني
+
+170
+00:13:29,040 --> 00:13:32,860
+هؤلاء هم مجتمعات مستعمرة ومستعمرة وكانوا موجودين
+
+171
+00:13:32,860 --> 00:13:38,260
+في الـ periphery وقت ايش جالوا تجاوز تجاوز تجاوز
+
+172
+00:13:38,260 --> 00:13:39,820
+تجاوز تجاوز تجاوز تجاوز تجاوز تجاوز تجاوز تجاوز
+
+173
+00:13:39,820 --> 00:13:43,940
+تجاوز تجاوز تجاوز
+
+174
+00:13:43,940 --> 00:13:46,960
+تجاوز تجاوز تجاوز تجاوز تجاوز تجاوز تجاوز تجاوز
+
+175
+00:13:46,960 --> 00:13:47,040
+تجاوز تجاوز تجاوز تجاوز تجاوز تجاوز تجاوز تجاوز
+
+176
+00:13:47,040 --> 00:13:47,160
+تجاوز تجاوز تجاوز تجاوز تجاوز تجاوز تجاوز تجاوز
+
+177
+00:13:47,160 --> 00:13:53,100
+تجاوز تجاوز تجاوز تجاوز
+
+178
+00:13:53,100 --> 00:13:57,680
+تجاوز تجاوز
+
+179
+00:13:57,680 --> 00:14:02,230
+يعني انهيبط أي إميو ريسبونس a CD4 positive
+
+180
+00:14:02,230 --> 00:14:05,570
+regulatory T cell can also be generated from
+
+181
+00:14:05,570 --> 00:14:08,550
+antigen experience in the presence of certain
+
+182
+00:14:08,550 --> 00:14:13,730
+cytokine اللي
+
+183
+00:14:13,730 --> 00:14:19,350
+هي التالتة في وجود آيالتين بيصير فيه expression لـ
+
+184
+00:14:19,350 --> 00:14:25,970
+TR1 FoxP3 بيصير positive CD25 is negative
+
+185
+00:14:25,970 --> 00:14:32,130
+لكن بيصير فيه expression ل IL10 و تشملية
+
+186
+00:14:32,130 --> 00:14:36,970
+suppression for the immune response إذا كان CD4
+
+187
+00:14:36,970 --> 00:14:42,390
+positive regulatory T cell are generated في وجود
+
+188
+00:14:42,390 --> 00:14:45,680
+الـ Transforming Growth Factor Beta يستطيعوا أن
+
+189
+00:14:45,680 --> 00:14:51,480
+يتعاملوا بـ FOXP-B3 ويعملوا تحرير لـ CD25 وهذا
+
+190
+00:14:51,480 --> 00:14:54,720
+يدفع إلى تصميم الـ Transforming Growth Factor Beta
+
+191
+00:14:54,720 --> 00:15:00,540
+اللي يعمل تحرير للرد الإيميوني T-helper cells تعمل
+
+192
+00:15:00,540 --> 00:15:05,540
+Oral Tolerance يعني الأكل اللي بناكله مليان
+
+193
+00:15:05,540 --> 00:15:10,160
+أنتيجينات إذا أو ليش ما بيصيبش فيه الـ immune response
+
+194
+00:15:10,160 --> 00:15:15,000
+لأنه بتتواجد T-helper cells وهي المسؤولة عن الـ Oral
+
+195
+00:15:15,000 --> 00:15:21,280
+Tolerance وموجودة في الـ Mucosal Membrane of the
+
+196
+00:15:21,280 --> 00:15:26,040
+Gut ايش بيعملوا؟ قالوا إنهم يصنعون Transforming
+
+197
+00:15:26,040 --> 00:15:31,860
+Growth Factor Beta بكميات كبيرة وهذا عبارة عن
+
+198
+00:15:31,860 --> 00:15:41,180
+Inhibitory Cytokine بالإضافة إلى IL-10 و IL-4 اللي
+
+199
+00:15:41,180 --> 00:15:48,240
+مسؤولين عن T-helper cells differentiation غياب
+
+200
+00:15:48,240 --> 00:15:52,340
+الـ T-helper cells is associated with inflammatory
+
+201
+00:15:52,340 --> 00:16:03,700
+bowel disease أيضا CD4 positive T cell can induce
+
+202
+00:16:03,700 --> 00:16:07,100
+prevent the induction of autoimmunity
+
+203
+00:16:11,440 --> 00:16:14,040
+واجهته أيضًا إن ال administration of high doses
+
+204
+00:16:14,040 --> 00:16:18,180
+of autoantigen can prevent induction of
+
+205
+00:16:18,180 --> 00:16:23,500
+autoimmunity this inhibition غالبًا is due to CD4
+
+206
+00:16:23,500 --> 00:16:28,680
+positive T cell which inhibit the development of
+
+207
+00:16:28,680 --> 00:16:33,300
+autoimmune autoantibody sorry as well as
+
+208
+00:16:33,300 --> 00:16:37,840
+autoimmune disease it's suggested that the
+
+209
+00:16:37,840 --> 00:16:40,720
+suppression is involved
+
+210
+00:16:42,780 --> 00:16:47,600
+by the transforming growth factor beta in IL-10
+
+211
+00:16:47,600 --> 00:16:53,960
+أيضا T-helper subset are involved in the regulation
+
+212
+00:16:53,960 --> 00:16:57,580
+of immunoglobulin production فعلى سبيل المثال
+
+213
+00:16:57,580 --> 00:17:04,840
+Gamma interferon is secreted from T-Helper I تعمل
+
+214
+00:17:04,840 --> 00:17:09,520
+إنها تمنع T-Helper II و IL-10 اللي بطلع من T
+
+215
+00:17:09,520 --> 00:17:15,390
+-Helper II بإمكانه إنهاء الـ P7 و IL-12 من خلال
+
+216
+00:17:15,390 --> 00:17:17,650
+Antigen presenting Cell وبالتالي بيعمل
+
+217
+00:17:17,650 --> 00:17:21,490
+Inhibition لـ Th1 Activation وبالتالي في
+
+218
+00:17:21,490 --> 00:17:31,330
+Regulation ما بين Th1 وTh2 Cell IL-12 مهم
+
+219
+00:17:31,330 --> 00:17:35,550
+جدا في عملية الـ development في Th1 وTh2
+
+220
+00:17:35,550 --> 00:17:40,530
+بيعمل Balance كمان بين هذه الخلايا وبالتالي
+
+221
+00:17:40,530 --> 00:17:48,070
+Modulation of IL-12 is required هو من الـ Receptor
+
+222
+00:17:48,070 --> 00:17:55,190
+تبعه IL-12 Receptor T cell subset development is
+
+223
+00:17:55,190 --> 00:18:00,350
+influenced by interferon alpha شو بعمل ال
+
+224
+00:18:00,350 --> 00:18:05,810
+interferon alpha؟ جعله بيحدد المسار T helper cell
+
+225
+00:18:05,810 --> 00:18:11,900
+to T helper one حتى في وجود IL-4 اللي أصلا مطلوب لـ
+
+226
+00:18:11,900 --> 00:18:16,500
+T helper-2 pathway الـ Alpha interferon بيعمله
+
+227
+00:18:16,500 --> 00:18:20,160
+Neutralization وبيعمل Neutralization ل IL-12
+
+228
+00:18:20,160 --> 00:18:23,660
+وبالتالي
+
+229
+00:18:23,660 --> 00:18:29,960
+بيصير في اللي هو تفضيل لـ T helper-1
+
+230
+00:18:35,000 --> 00:18:42,600
+أو الـ T-helper immune response الفيجور الأتي
+
+231
+00:18:42,600 --> 00:18:53,200
+أيضا 11.10 بيحدد CD8 positive T cell can transfer
+
+232
+00:18:53,200 --> 00:18:59,500
+resistance and tolerance و أيضا بواسطة Transforming
+
+233
+00:18:59,500 --> 00:19:05,980
+Growth Factor Beta شوفوا الفيجر كيفية التحكم بعملية
+
+234
+00:19:05,980 --> 00:19:12,600
+الـ IL-12 والـ IL-12 Receptor يعني انتبهوا للفيجر
+
+235
+00:19:12,600 --> 00:19:16,760
+يعني ال IL-12 أيضا هو عبارة عن cytokine released
+
+236
+00:19:16,760 --> 00:19:21,520
+from الـ monocytes وهي عبارة عن phagocytic
+
+237
+00:19:21,520 --> 00:19:28,420
+mononuclear phagocytic cell فبالتالي once released
+
+238
+00:19:28,420 --> 00:19:37,570
+ماشي بيعمل induction أو بيعمل بيساعد
+
+239
+00:19:37,570 --> 00:19:43,130
+في الـ production of IL-12 Receptor IL-12 Receptor
+
+240
+00:19:43,130 --> 00:19:48,110
+زي ما أنتم شايفين بيتكوّن من two chain B1 B2 وهو
+
+241
+00:19:48,110 --> 00:19:56,520
+بالذات بيعمل production لـ B1 وبالتالي بيكتمل وجود
+
+242
+00:19:56,520 --> 00:20:00,220
+اللي هو الـ Receptor على سطح الـ T-Helper-1 و
+
+243
+00:20:00,220 --> 00:20:04,340
+بالمناسبة الـ IL-12 Receptor موجود فقط على الـ T
+
+244
+00:20:04,340 --> 00:20:12,000
+-Helper-1 Cell يبدأ عملية الـ Modulating أو عملية
+
+245
+00:20:12,000 --> 00:20:16,540
+التحكم بـ IL-12 اللي بيطلع من الـ Monocytes اللي
+
+246
+00:20:16,540 --> 00:20:22,240
+بيتحكم في تكوين الـ IL-12 Receptor على سطح الـ T
+
+247
+00:20:22,240 --> 00:20:26,910
+-Helper-1 Cell ممكن نتحكم فيه وقالوا إنك تتحكم في
+
+248
+00:20:26,910 --> 00:20:30,370
+الـ T helper 2 من خلال إفراز IL-10 اللي بيعمل
+
+249
+00:20:30,370 --> 00:20:36,770
+Inhibition لإفراز هذا الـ cytokine IL-T helper 2 كان
+
+250
+00:20:36,770 --> 00:20:41,710
+secret IL-4 و IL-4 شو بيعمل؟ بيعمل Inhibition لـ 
+
+251
+00:20:41,710 --> 00:20:44,210
+Gamma interferon شو بيعمل الـ Gamma interferon؟ قالوا
+
+252
+00:20:44,210 --> 00:20:51,320
+بيعمل expression للـ B1 chain أو للـ IL-12 receptor
+
+253
+00:20:51,320 --> 00:20:54,960
+وبالتالي بيكتمل الـ receptor فبالتالي لو عملنا
+
+254
+00:20:54,960 --> 00:20:58,640
+annihilation للـ Gamma interferon بواسطة الـ IL-4 اللي
+
+255
+00:20:58,640 --> 00:21:04,460
+بيطلع من الـ T helper 2 بيصير فيه عدم expression للـ IL
+
+256
+00:21:04,460 --> 00:21:08,000
+-12 receptor وإذا ما تكونش الـ IL-12 receptor
+
+257
+00:21:08,000 --> 00:21:13,360
+معناته مافيش T helper 1 اللي هو activity
+
+258
+00:21:18,750 --> 00:21:26,710
+regulation by NK و NKT كنا بنعرف أن الـ NK cell هي
+
+259
+00:21:26,710 --> 00:21:32,470
+عبارة عن خلية بتلعب دور كبير في الـ first line
+
+260
+00:21:32,470 --> 00:21:36,750
+defense mechanism for intracellular pathogen من
+
+261
+00:21:36,750 --> 00:21:41,310
+خلال إفرازها لـ Gamma interferon اللي بنشتغل به الماكروفيج
+
+262
+00:21:41,310 --> 00:21:45,910
+والماكروفيج can facilitate the differentiation of
+
+263
+00:21:47,930 --> 00:21:50,770
+الـ T cell و زي ما اتفقنا بتنشيط الماكروفيج
+
+264
+00:21:50,770 --> 00:21:56,250
+والماكروفيج يعني phagocytosis فبنتخلص من ايش؟ من ال
+
+265
+00:21:56,250 --> 00:22:02,430
+... أيضا الـ T cell و can activate the 
+
+266
+00:22:02,430 --> 00:22:10,290
+macrophage والـ NK cell activity ممكن تتنشط أو can be
+
+267
+00:22:10,290 --> 00:22:12,750
+induced by a variety of cytokines منها الـ Alpha
+
+268
+00:22:12,750 --> 00:22:18,510
+Interferon و الـ Beta Interferon IL-15 IL-18 IL-12
+
+269
+00:22:18,510 --> 00:22:24,390
+كلهم بنشطوا اللي هو الـ NK cell لكنها inhabited by
+
+270
+00:22:24,390 --> 00:22:29,410
+IL-10 and transforming growth factor beta يبقى في
+
+271
+00:22:29,410 --> 00:22:38,040
+دور اللي هو الـ NK cell بتنشطلنا زي ما قلنا اللي هو
+
+272
+00:22:38,040 --> 00:22:42,920
+هي specific for intracellular pathogen من خلال
+
+273
+00:22:42,920 --> 00:22:45,980
+ايش؟ من خلال production of gamma interferon اللي
+
+274
+00:22:45,980 --> 00:22:52,860
+بنشتغل به الماكروفيج والماكروفيج بتنشطيها الـ T cell يعني
+
+275
+00:22:52,860 --> 00:22:57,600
+cell mediated immunity is in used وزي ما شفناها ال
+
+276
+00:22:57,600 --> 00:23:00,580
+cytokine اللي بتنشطها و الـ cytokine اللي بيعملها 
+
+277
+00:23:00,580 --> 00:23:06,060
+inhibition بالمقابل الـ NKT cell أيضًا بتخلق Gamma
+
+278
+00:23:06,060 --> 00:23:13,180
+Interferon اللي أيضًا بنشط الـ NK cell activation
+
+279
+00:23:13,180 --> 00:23:17,000
+وبالتالي بيحصل فيه زيادة في proliferation and
+
+280
+00:23:17,000 --> 00:23:24,200
+cytotoxicity for NK cell قدرة الـ NKT cell to
+
+281
+00:23:24,200 --> 00:23:29,560
+secrete IL-4 تعمل على prevention of autoimmune
+
+282
+00:23:29,560 --> 00:23:35,680
+disease وغياب هذه الخلية deficiency of NKT cell
+
+283
+00:23:35,680 --> 00:23:42,120
+يعني سجلت حالات من autoimmune diseases في غياب هذه
+
+284
+00:23:42,120 --> 00:23:47,360
+الخلية منها rheumatoid arthritis, psoriasis,
+
+285
+00:23:47,740 --> 00:23:53,660
+ulceration and ulcerative colitis and multiple
+
+286
+00:23:53,660 --> 00:23:57,000
+sclerosis كل عبارة عن autoimmune diseases
+
+287
+00:24:00,700 --> 00:24:04,040
+خلية مهمة جدا زي ما أنتم شايفين الـ NK و T cell
+
+288
+00:24:04,040 --> 00:24:10,420
+عندها القدرة أنها تفرز cytokine مختلفة فتفرز ال
+
+289
+00:24:10,420 --> 00:24:15,580
+cytokine اللي بتنشط الـ T helper 2 pathway و اللي
+
+290
+00:24:15,580 --> 00:24:25,370
+بتنشط الـ T helper 1 pathway اللي بتنشط الـ T cell و الـ B cell
+
+291
+00:24:25,370 --> 00:24:32,290
+T cell و B cell T cell و B cell T cell و B cell T cell و B cell T cell و
+
+292
+00:24:32,290 --> 00:24:38,910
+B cell T cell و B cell T cell و B cell T cell و B cell T cell و B cell
+
+293
+00:24:38,910 --> 00:24:45,630
+T cell و B cell T cell و B cell T cell و B cell T cell و B cell T cell
+
+294
+00:24:45,630 --> 00:24:45,850
+T cell T cell T cell T cell T cell T cell T cell T cell T cell T cell T cell T cell
+
+295
+00:24:45,850 --> 00:24:48,610
+T cell T cell T cell T cell T cell T cell T cell T cell T cell T cell من خلال
+
+296
+00:24:48,610 --> 00:24:55,930
+هذه الـ cytokine وبالتالي can induce أو prevent the
+
+297
+00:24:55,930 --> 00:25:01,190
+tumorigenesis أيه عندها antitumor،
+
+298
+00:25:01,190 --> 00:25:02,090
+antimicrobial
+
+299
+00:25:05,740 --> 00:25:09,940
+بتمنع الـ angiogenesis و الـ angiogenesis من خلال الـ angiogenesis و
+
+300
+00:25:09,940 --> 00:25:10,080
+الـ angiogenesis من خلال الـ angiogenesis و الـ angiogenesis من خلال
+
+301
+00:25:10,080 --> 00:25:10,300
+الـ angiogenesis و الـ angiogenesis من خلال الـ angiogenesis و
+
+302
+00:25:10,300 --> 00:25:13,160
+الـ angiogenesis من خلال الـ angiogenesis من خلال الـ angiogenesis
+
+303
+00:25:13,160 --> 00:25:14,400
+من خلال الـ angiogenesis من خلال الـ angiogenesis من خلال
+
+304
+00:25:14,400 --> 00:25:14,440
+الـ angiogenesis من خلال الـ angiogenesis من خلال الـ angiogenesis
+
+305
+00:25:14,440 --> 00:25:15,440
+من خلال الـ angiogenesis من خلال الـ angiogenesis من خلال
+
+306
+00:25:15,440 --> 00:25:16,780
+الـ angiogenesis من خلال الـ angiogenesis من خلال الـ angiogenesis
+
+307
+00:25:16,780 --> 00:25:17,740
+من خلال الـ angiogenesis من خلال الـ angiogen
+
+308
+00:25:26,060 --> 00:25:32,660
+localization of cell يعني تمحور الخلايا في أماكن
+
+309
+00:25:32,660 --> 00:25:37,500
+معينة أو انتقال الخلايا إلى مكان الـ infection
+
+310
+00:25:37,500 --> 00:25:43,100
+localization كيف تتم طبعا كلنا بنعرف في ال
+
+311
+00:25:43,100 --> 00:25:46,560
+phagocytosis process أن الخلايا تنتقل من الـ blood
+
+312
+00:25:46,560 --> 00:25:51,940
+vessels إلى مكان الـ infection keeping in mind أن هذه العملية
+
+313
+00:25:51,940 --> 00:25:56,570
+فيها chemokine factors بتفرز من يقوم بتنشيطها؟ كانوا
+
+314
+00:25:56,570 --> 00:26:01,390
+الـ chemokine والـ chemokine طالعة من خلايا مختلفة it's
+
+315
+00:26:01,390 --> 00:26:05,990
+an important mechanism طيب، ماذا جعلتهم يعملوا هذه
+
+316
+00:26:05,990 --> 00:26:08,050
+العملية؟ جعلوا الـ expression of different
+
+317
+00:26:08,050 --> 00:26:13,370
+chemokine receptor على سطح الـ T cell و الـ T
+
+318
+00:26:13,370 --> 00:26:16,290
+helper و الـ T cell بيكون على سطحه chemokine receptor
+
+319
+00:26:16,290 --> 00:26:21,290
+ثلاثة و خمسة بينما الـ T helper بيكون موجود على سطح
+
+320
+00:26:22,130 --> 00:26:26,330
+chemokine receptor ثلاثة و أربعة و ثمانية These
+
+321
+00:26:26,330 --> 00:26:34,580
+chemokines can allow chemotactic signal تنقل من الـ
+
+322
+00:26:34,580 --> 00:26:44,540
+blood vessels
+
+323
+00:26:44,540 --> 00:26:48,320
+أو من أماكن مختلفة ممكن تكون في الـ secondary
+
+324
+00:26:48,320 --> 00:26:52,220
+lymphoid organs بتجري لغاية ما تصل الـ site of
+
+325
+00:26:52,220 --> 00:26:56,560
+infection يبقى مهم جدا الـ expression of chemokine
+
+326
+00:26:56,560 --> 00:27:04,710
+receptors أيضا production of MCP1 أما الـ IP-1 Alpha و
+
+327
+00:27:04,710 --> 00:27:10,750
+IP-10 و الـ RANTES اخذناهم قبل هيك تستخدم لتركيز
+
+328
+00:27:10,750 --> 00:27:14,450
+الـ Mononuclear Phagocyte لمنطقة ال inflammation من
+
+329
+00:27:14,450 --> 00:27:20,630
+الـ inflammation. وجود Cytokine Transformed Growth
+
+330
+00:27:20,630 --> 00:27:26,010
+Factor Beta IL-12 و IL-4 اللي عندهم القدرة
+
+331
+00:27:26,010 --> 00:27:30,580
+to produce chemokine أو chemokine receptor provide
+
+332
+00:27:30,580 --> 00:27:35,840
+further level of control يعني هذه الـ cytokine
+
+333
+00:27:35,840 --> 00:27:40,940
+أيضًا عندها القدرة إنها أيضًا to express chemokine
+
+334
+00:27:40,940 --> 00:27:44,020
+and chemokine Receptors وبالتالي هو عبارة عن
+
+335
+00:27:44,020 --> 00:27:48,160
+further level of control mechanism for cell
+
+336
+00:27:48,160 --> 00:27:52,660
+migration and recruitment كثير من الفيروسات can
+
+337
+00:27:52,660 --> 00:27:57,230
+evade هذه للأسف الشديد هي host immune response ماذا
+
+338
+00:27:57,230 --> 00:28:01,950
+يفعلون؟ قالوا بيعملوا Antagonist للـ chemokine
+
+339
+00:28:01,950 --> 00:28:06,870
+Receptor فبيعملوا Blocking وبالتالي بيمنعوا
+
+340
+00:28:06,870 --> 00:28:12,470
+Localization of Cell Idiotypic Modulation
+
+341
+00:28:12,470 --> 00:28:18,430
+Response الـ Idiotypic هو
+
+342
+00:28:18,430 --> 00:28:23,790
+عبارة عن الـ FAB Region واحنا بنعرف كل Antibody له
+
+343
+00:28:23,790 --> 00:28:29,680
+FAB و له FC Region هل الـ Fab مختلفة between different
+
+344
+00:28:29,680 --> 00:28:32,300
+antibodies عشان هيك في حاجة بيسموها Idiotypic
+
+345
+00:28:32,300 --> 00:28:36,160
+Variation between antibodies usually الـ tolerance
+
+346
+00:28:36,160 --> 00:28:42,040
+for self-antigen بيصير during ontogeny يعني خلال
+
+347
+00:28:42,040 --> 00:28:47,340
+رحلة تكوين هذه الخلايا لكن الـ tolerance
+
+348
+00:28:47,340 --> 00:28:55,060
+بيصير للـ Fc portion مش للـ Fab portion الـ Antibody
+
+349
+00:28:55,060 --> 00:29:00,700
+اللي بتتكون ضد الـ Fab بيسموها Antidiotypic Antibody
+
+350
+00:29:00,700 --> 00:29:07,520
+احنا اتفقنا على أن الـ Fab هي اللي بيكون مختلفة
+
+351
+00:29:07,520 --> 00:29:09,660
+between different antibodies عشان هي بيسموها
+
+352
+00:29:09,660 --> 00:29:14,820
+Idiotype والـ Antibody اللي بتعملها blocking هم
+
+353
+00:29:14,820 --> 00:29:20,640
+عبارة عن Antiidiotypic Antibody و دول عندهم القدرة to
+
+354
+00:29:20,640 --> 00:29:24,960
+influence the outcome of immune response طبعا إذا
+
+355
+00:29:24,960 --> 00:29:28,940
+صار في blocking للـ Antibody كيف بيشتغل وبالتالي في
+
+356
+00:29:28,940 --> 00:29:34,900
+تحديد لمسار الـ immune response الـ Epitope
+
+357
+00:29:34,900 --> 00:29:41,480
+Epitopes اللي موجودة in or around the binding
+
+358
+00:29:41,480 --> 00:29:49,080
+sites بيسموها Idiotopes Epitopes و Idiotopes ماشي
+
+359
+00:29:49,080 --> 00:29:52,860
+تنسوش هذه المصطلحات Epitopes على الـ Antigen و الـ
+
+360
+00:29:52,860 --> 00:30:00,100
+Idiotopes على الـ Antibody العالم
+
+361
+00:30:00,100 --> 00:30:05,060
+الجن طرح أن الـ Immune Network can be existent وقت
+
+362
+00:30:05,060 --> 00:30:12,530
+ايش ماشي في داخل جسم الإنسان طبعا أو NV2 التي
+
+363
+00:30:12,530 --> 00:30:16,430
+تتعامل بمعينة Idiotype Recognition يعني يوم يكون فيه
+
+364
+00:30:16,430 --> 00:30:20,230
+Antigen Antibody reaction بيصير فيه تفاعل تفاعل
+
+365
+00:30:20,230 --> 00:30:29,350
+ماشي ما بين الـ Antibody و ما بين الـ Fab أو الـ Idiotype
+
+366
+00:30:29,350 --> 00:30:34,650
+اللي موجودة وعندما يتم إدخال ردودة Antibody 
+
+367
+00:30:34,650 --> 00:30:35,290
+ردودة
+
+368
+00:30:39,370 --> 00:30:45,790
+هيعمل Anti-Idiotypic Response لمين؟ لنفسه وبالتالي
+
+369
+00:30:45,790 --> 00:30:51,290
+بيتكون Anti-Idiotypic Network و بيعمل
+
+370
+00:30:51,290 --> 00:30:57,090
+Neutralization لـ Antibody Neuroendocrine
+
+371
+00:30:57,090 --> 00:31:00,630
+modulation by immune response قالوا أنه في
+
+372
+00:31:00,630 --> 00:31:03,690
+evidence أن الـ nervous system و الـ endocrine
+
+373
+00:31:03,690 --> 00:31:06,810
+system و الـ immune system are interconnected
+
+374
+00:31:08,180 --> 00:31:11,260
+والدليل على هذا أن الـ spleen received direct
+
+375
+00:31:11,260 --> 00:31:15,740
+sympathetic innervation و أن الـ nervous system can
+
+376
+00:31:15,740 --> 00:31:19,880
+be controlled أو هو نفسه can control the outcome
+
+377
+00:31:19,880 --> 00:31:25,080
+أو output of various hormones فعلى سبيل المثال
+
+378
+00:31:25,080 --> 00:31:29,040
+كورتيكوستيرويد، هرمون النمو، هرمون البرولاكتين، ثيروكسين
+
+379
+00:31:29,040 --> 00:31:33,160
+and إبي نيفيرين can be controlled by their nervous
+
+380
+00:31:33,160 --> 00:31:38,050
+system. الـ Lymphocyte express receptor for many
+
+381
+00:31:38,050 --> 00:31:41,950
+hormones وبالتالي الـ Corticosteroids act as a major
+
+382
+00:31:41,950 --> 00:31:45,950
+feedback control on immune response، إيش بيعمل؟
+
+383
+00:31:45,950 --> 00:31:49,110
+وقالوا بيعمل inhibition لـ T helper cytokine
+
+384
+00:31:49,110 --> 00:31:54,710
+production اللي بيؤدي إلى إنتاج Transforming growth
+
+385
+00:31:54,710 --> 00:31:57,750
+factor beta وبالتالي بيصير فيه inhibition لل
+
+386
+00:31:57,750 --> 00:32:04,620
+immune response عشان هيك الـ Corticosteroid هرمون هو
+
+387
+00:32:04,620 --> 00:32:11,280
+عبارة عن Immune suppressant بيجي
+
+388
+00:32:11,280 --> 00:32:16,300
+من الـ Genetic control of the immune response هل في
+
+389
+00:32:16,300 --> 00:32:21,120
+جينات تتحكم بالـ Immune response ولا لأ؟ طبعا لأنه
+
+390
+00:32:21,120 --> 00:32:25,520
+في أكثر من جين اللي له دور كبير في الـ Immune
+
+391
+00:32:25,520 --> 00:32:30,740
+response وكنا بنعرف أن الـ MHC haplotype هو الـ
+
+392
+00:32:30,740 --> 00:32:38,690
+Major influencing factor هو اللي بيحدد الـ Ability to
+
+393
+00:32:38,690 --> 00:32:44,250
+respond to an antigen وبالتجربة
+
+394
+00:32:44,250 --> 00:32:47,230
+وجدوا أن في Strain of mice with different MHC
+
+395
+00:32:47,230 --> 00:32:52,370
+haplotype بتختلف في ردود فعلها المناعية في إنتاج
+
+396
+00:32:52,370 --> 00:32:57,190
+antibody response to specific antigen ومن يحدد ذلك
+
+397
+00:32:57,190 --> 00:33:01,590
+هو الـ Expression of MHC class II molecule وهي محددة
+
+398
+00:33:01,590 --> 00:33:06,970
+لكل Antigen وإن الجينات الموجودة داخل الـ MSC molecule
+
+399
+00:33:06,970 --> 00:33:15,150
+تلعب دورًا أساسيًا ضد مستضدات مُحددة وهذا طبيعي 
+
+400
+00:33:15,150 --> 00:33:20,730
+جدا كنا بنعرف أن حتى إن الإنسان ردود فعل الجسم
+
+401
+00:33:20,730 --> 00:33:25,510
+المناعية بتختلف من شخص لآخر باختلاف الجينات أو
+
+402
+00:33:25,510 --> 00:33:31,740
+الـ Expression of MSC molecules. الـ Extensive Sequence
+
+403
+00:33:31,740 --> 00:33:37,920
+of Polymorphism للـ MSC Molecule له دور كبير على
+
+404
+00:33:37,920 --> 00:33:41,420
+الـ Peptide Binding وبالتالي على الـ T Cell
+
+405
+00:33:41,420 --> 00:33:48,300
+Activation نعرف كلنا أن الـ MSC Gene are Polymorphic
+
+406
+00:33:48,300 --> 00:33:56,320
+Genes. الـ MSC Gene أيضًا يميز على الانتقال للعنوان
+
+407
+00:33:56,320 --> 00:33:57,240
+الانتقال الانتقال الانتقال الانتقال الانتقال
+
+408
+00:33:57,240 --> 00:33:59,450
+الانتقال الانتقال الانتقال الانتقال وفي أمثلة كثيرة
+
+409
+00:33:59,450 --> 00:34:03,630
+على ذلك فعلى سبيل المثال الـ Insulin depending on
+
+410
+00:34:03,630 --> 00:34:08,070
+Diabetes Mellitus وهذا عبارة عن Autoimmune disease
+
+411
+00:34:08,070 --> 00:34:13,010
+اللي بيصير فيه أن الـ Beta cell تبعت البنكرياس are
+
+412
+00:34:13,010 --> 00:34:22,210
+destroyed بواسطة خلايا مناعية هذا المرض مرتبط
+
+413
+00:34:22,210 --> 00:34:29,130
+بـ HLA-DR3 و HLA-DR4 وبالتالي يوم نفحص ونلاقي فيه
+
+414
+00:34:29,130 --> 00:34:34,930
+زيادة في DR3 و DR4 اي تيروزايكس بنلاقي high risk of
+
+415
+00:34:34,930 --> 00:34:41,390
+Diabetes Mellitus عند المرضى. أمثلة أخرى MHC Linked
+
+416
+00:34:41,390 --> 00:34:46,970
+وجدوها متعلقة بالـ Proteolysis و Transport of
+
+417
+00:34:46,970 --> 00:34:53,250
+Antigen Peptide To MHC Molecule For Presentation
+
+418
+00:34:53,250 --> 00:34:59,750
+To Cell Of The Immune System. طيب هذا بالنسبة للـ
+
+419
+00:34:59,750 --> 00:35:05,670
+MHC Gene. طب فيه Non MHC Gene؟ قالوا فيه Non MHC Gene
+
+420
+00:35:05,670 --> 00:35:09,130
+أيضًا تلعب دور كبير في Modulation Of Immune
+
+421
+00:35:09,130 --> 00:35:14,150
+Response. هذول الجينات ليست Polymorphic أقل من الـ
+
+422
+00:35:14,150 --> 00:35:19,130
+MHC Gene وبالتالي فإن أفكتهم تظهر بشكل واضح في
+
+423
+00:35:19,130 --> 00:35:20,410
+ارتباط ارتباط ارتباط ارتباط بشكل ارتباط بشكل ارتباط بشكل
+
+424
+00:35:20,410 --> 00:35:21,330
+ارتباط بشكل ارتباط بشكل ارتباط بشكل ارتباط بشكل ارتباط
+
+425
+00:35:21,330 --> 00:35:25,870
+بشكل ارتباط
+
+426
+00:35:25,870 --> 00:35:25,990
+بشكل ارتباط بشكل ارتباط بشكل ارتباط بشكل ارتباط بشكل
+
+427
+00:35:25,990 --> 00:35:26,470
+ارتباط بشكل ارتباط بشكل ارتباط بشكل ارتباط بشكل ارتباط
+
+428
+00:35:26,470 --> 00:35:33,070
+بشكل ارتباط بشكل ارتباط بشكل ارتباط بشكل ارتباط بشكل
+
+429
+00:35:33,070 --> 00:35:37,230
+ارتباط
+
+430
+00:35:37,230 --> 00:35:42,410
+بشكل موجودة في الـ SLE ناس اللي عندهم مخاطر في
+
+431
+00:35:42,410 --> 00:35:47,010
+Complement 3 لديهم اكتشاف اكتشاف بكتيريال
+
+432
+00:35:47,010 --> 00:35:53,870
+الانسجة وموجودة في Immune Complex ناس اللي عندهم
+
+433
+00:35:53,870 --> 00:36:03,260
+High IgE التصميم اللي هم ملاقيين بالـ
+
+434
+00:36:03,260 --> 00:36:12,620
+Atopy Gene or Human Chromosome 11 EQ أيضًا
+
+435
+00:36:12,620 --> 00:36:18,180
+أمثلة لجين Linked gene affects susceptibility
+
+436
+00:36:18,180 --> 00:36:21,660
+to infection. فالـ Macrophage activity are
+
+437
+00:36:21,660 --> 00:36:30,890
+regulated by specific gene. أيضًا الـ LSH-ITY-BIG
+
+438
+00:36:30,890 --> 00:36:34,850
+جين تتحكم
+
+439
+00:36:34,850 --> 00:36:38,190
+في الـ Early Response to Infection with
+
+440
+00:36:38,190 --> 00:36:42,890
+Mycobacterium and Salmonella. يعني لو الـ Response
+
+441
+00:36:42,890 --> 00:36:48,290
+بيكون على شكل Upregulation of Oxidative Burst على
+
+442
+00:36:48,290 --> 00:36:52,910
+شكل Enhanced Tumor Cedule Activity. إنها Anti
+
+443
+00:36:52,910 --> 00:36:57,650
+-Microbial Activity. Upregulation of Expression للـ
+
+444
+00:36:57,650 --> 00:37:03,410
+MSC Class II Molecule. Polymorphism أيضًا في الجين
+
+445
+00:37:03,410 --> 00:37:08,390
+يحتوي على Cytokeratin Receptor اللي هي دور كبير اللي
+
+446
+00:37:08,390 --> 00:37:12,380
+هي علاقة كبيرة with increased susceptibility to
+
+447
+00:37:12,380 --> 00:37:17,300
+SCID اللي هو Severe Combined Immunodeficiency or
+
+448
+00:37:17,300 --> 00:37:24,020
+Inflammatory Condition. The outcome of mutation is
+
+449
+00:37:24,020 --> 00:37:32,540
+dependent على الـ Cytokine Gene. فعلى سبيل المثال
+
+450
+00:37:32,540 --> 00:37:37,700
+Human mutation IL-7R الـ Receptor يعني بت
+
+451
+00:37:43,300 --> 00:37:47,520
+والناس اللي عندهم أيضًا Common Cytokine Receptor
+
+452
+00:37:47,520 --> 00:37:52,520
+Gamma Deficiency أيضًا which is a component of
+
+453
+00:37:52,520 --> 00:37:57,520
+Functional Receptor للـ IL-2، IL-4، IL-7، IL-9، IL
+
+454
+00:37:57,520 --> 00:38:03,520
+-15 عندهم Reduced Number لـ T cell و لـ NK cell و
+
+455
+00:38:03,520 --> 00:38:08,970
+عندهم Impairment لـ B cell function وبعد مرات في T
+
+456
+00:38:08,970 --> 00:38:14,670
+Cell نقص
+
+457
+00:38:14,670 --> 00:38:23,450
+جزء في T cell help. فده هي الصورة زي ما أنتم
+
+458
+00:38:23,450 --> 00:38:31,930
+شايفين. أنا داينا عندنا IL-2 Receptor، IL-7
+
+459
+00:38:31,930 --> 00:38:32,570
+Receptor
+
+460
+00:38:36,010 --> 00:38:43,290
+كما تشاهدون Receptor هي عبارة عن ثلاثة Subunit بتاعة
+
+461
+00:38:43,290 --> 00:38:50,910
+الـ Chain وهي فيها Common Gamma Chain موجودة
+
+462
+00:38:50,910 --> 00:38:54,950
+موجودة
+
+463
+00:38:54,950 --> 00:38:59,990
+موجودة موجودة موجودة موجودة موجودة موجودة موجودة
+
+464
+00:38:59,990 --> 00:39:09,240
+موجودة موجودة موجودة بيصير فيه اللي هو T cell ناشي
+
+465
+00:39:09,240 --> 00:39:17,100
+فيه Loss للـ T cell فيه Loss للـ NK cell بينما الـ
+
+466
+00:39:17,100 --> 00:39:22,720
+B Lymphocyte بقى موجودة بينما هنا برضه الـ IL-7
+
+467
+00:39:22,720 --> 00:39:29,520
+Receptor يوم ما يكون فيه هذا هي Defect in IL-7
+
+468
+00:39:29,520 --> 00:39:34,680
+Receptor مش موجودة هذا هو بيصير فيه Loss T cell
+
+469
+00:39:34,680 --> 00:39:38,260
+بينما الـ B cell و الـ NK cell still there
+
+470
+00:39:40,910 --> 00:39:47,330
+هذا هو Role of Mutation in Cytokine Receptor Gene
+
+471
+00:39:47,330 --> 00:39:51,550
+in Severe Combined Immunodeficiency. طبعا غياب T
+
+472
+00:39:51,550 --> 00:39:56,250
+cell و NK cell يعني فيه Infectious States
+
+473
+00:39:57,930 --> 00:40:04,470
+ماشي وأيها نفس الحكاية T Lymphocytes غيابها بيعمل
+
+474
+00:40:04,470 --> 00:40:08,590
+Severe Combined لأن هي اللي بتوزع الأدوار وهي
+
+475
+00:40:08,590 --> 00:40:13,550
+المهمة جدًا في الـ Immune Response. بعد أن نكون خلصنا
+
+476
+00:40:13,550 --> 00:40:17,450
+المحاضرة نتمنى أن تكون غطينا اللي هو الـ Immune
+
+477
+00:40:17,450 --> 00:40:21,090
+Response Regulatory Factors.
+
+478
+00:40:26,320 --> 00:40:29,380
+شكرًا لحسن الاستماع. 
diff --git a/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/y5lo8NNhTS0_raw.srt b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/y5lo8NNhTS0_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..1d84e44488a4109c531a05a71fe2b994faea3b09
--- /dev/null
+++ b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/y5lo8NNhTS0_raw.srt
@@ -0,0 +1,1744 @@
+1
+00:00:05,480 --> 00:00:10,220
+نلتقى اليوم في محاضرة بيعنيها
+
+2
+00:00:10,220 --> 00:00:13,700
+biology of T cell زى ما حكينا biology of B cell
+
+3
+00:00:13,700 --> 00:00:19,560
+نتعرف على ال B cell their stages of development و
+
+4
+00:00:19,560 --> 00:00:28,880
+how it can be formed the surface molecule and so
+
+5
+00:00:28,880 --> 00:00:34,350
+onطبعا كنا بنعرف انه في number of T lymphocyte
+
+6
+00:00:34,350 --> 00:00:37,310
+وحكينا هذه المعلومة في محاضرة سابقة انه بيوصل
+
+7
+00:00:37,310 --> 00:00:41,690
+العدد الى عشر قوة خمستاشر .. اي من عشر قوة خمستاشر
+
+8
+00:00:41,690 --> 00:00:46,470
+لعشر قوة تمانتاشر these T lymphocytes are
+
+9
+00:00:46,470 --> 00:00:51,770
+different but all have the same antigen receptor
+
+10
+00:00:51,770 --> 00:00:56,550
+على سطحها سموا هذا ال antigen receptor TCR T cell
+
+11
+00:00:56,550 --> 00:01:04,840
+receptorوبيتكون هذا TCR من خلال جينات بتتصفط زي ما
+
+12
+00:01:04,840 --> 00:01:08,080
+صار في الـ B-Lymphocytes فيه restriction enzyme و
+
+13
+00:01:08,080 --> 00:01:12,700
+فيه recombinase enzyme التانين بيشتركوا في تحريك
+
+14
+00:01:12,700 --> 00:01:17,160
+الجينات و تصفيتها مرة تانية و تصنيع ال TCR اللي
+
+15
+00:01:17,160 --> 00:01:20,720
+مطلوب و في كل مرة بتصفط و تصفيتها مختلفة وبالتالي
+
+16
+00:01:20,720 --> 00:01:25,360
+بيدونا في كل مرة TCR مختلف و بيكونوا ال TCR
+
+17
+00:01:25,360 --> 00:01:29,840
+repertoire في النهايةزي ما الـ B-Lymphocyte اتكونت
+
+18
+00:01:29,840 --> 00:01:41,080
+لنا الـ Aminoglobulin Repertoire ال
+
+19
+00:01:41,080 --> 00:01:48,900
+majority of this TCR هذا الـ TCR هو عبارة عن Two
+
+20
+00:01:48,900 --> 00:01:54,740
+Chain Transmembrane Molecule Alpha Beta 90% من هذا
+
+21
+00:01:54,740 --> 00:01:58,430
+الـ TCR هو عبارة عن Alpha Betaوهي بيتكون من
+
+22
+00:01:58,430 --> 00:02:05,670
+Transmembrane ها يعني في جزء في داخل الخلية وزي ما
+
+23
+00:02:05,670 --> 00:02:11,010
+قلنا في جزء خارج الخلية ماشي و أيضا يتكون من
+
+24
+00:02:11,010 --> 00:02:15,930
+Variable Region و Constant Region يعني ال Variable
+
+25
+00:02:15,930 --> 00:02:21,940
+Region هو برع ال Extra Cellular Portionو يشبه ال
+
+26
+00:02:21,940 --> 00:02:26,600
+fab region في ال antibody هو اللى بيرتبط فى مين فى
+
+27
+00:02:26,600 --> 00:02:35,040
+ال antigen from alpha beta TCR بيرتبط مع ال
+
+28
+00:02:35,040 --> 00:02:39,420
+antigenic peptide اللى ممسوك بالامش C موليكيولى
+
+29
+00:02:39,420 --> 00:02:44,060
+على سطح ال host cell و بالظبط
+
+30
+00:02:46,940 --> 00:02:52,440
+هذه هي صورة موضحة هي عبارة عن antigen presenting
+
+31
+00:02:52,440 --> 00:02:56,580
+cell عبارة عن host cell على سطحها ماسيري و كيور
+
+32
+00:02:56,580 --> 00:02:59,140
+مرتبط بالبيبتايد
+
+33
+00:03:00,880 --> 00:03:04,780
+وهي بيجي الـ T lymphocyte بالـ TCR تبعتها اللي زي
+
+34
+00:03:04,780 --> 00:03:08,040
+ما قولنا الـ Extracellular portion اللي هو عبارة
+
+35
+00:03:08,040 --> 00:03:11,180
+عن variable portion وبما ان طوبة بتاعي يبقى فيه
+
+36
+00:03:11,180 --> 00:03:15,800
+Alpha وفيه Beta هم اللي بيمسكوا ميه في مين في ال
+
+37
+00:03:15,800 --> 00:03:23,480
+Antigenic بتاعت الممسوقة بال MHC moleculeأيو وفى
+
+38
+00:03:23,480 --> 00:03:28,460
+عنا طبعا two types of MHC molecule class 1 و class
+
+39
+00:03:28,460 --> 00:03:34,360
+2 الخلايا
+
+40
+00:03:34,360 --> 00:03:38,860
+اللى على سطحها طبعا class 2 تقدم ال antigen اللى
+
+41
+00:03:38,860 --> 00:03:43,280
+telemphocyte بس من نوع CD4 و زى ما انتوا شايفين ال
+
+42
+00:03:43,280 --> 00:03:48,760
+CD4 بتبقى ال MHC moleculeوالخلايا الانتجن
+
+43
+00:03:48,760 --> 00:03:52,400
+presenting cell اللى على سطحها class 1 بتقدم
+
+44
+00:03:52,400 --> 00:03:59,220
+الانتجن ل CD8 و CD8 ايضا بيمسك دوة فى class 1 MRC
+
+45
+00:03:59,220 --> 00:04:04,660
+موليكيول يبقى فى restriction هان class 2 بتقدم
+
+46
+00:04:04,660 --> 00:04:10,360
+الانتجن ل CD4 class 1 بتقدم الانتجن ل CD8
+
+47
+00:04:20,700 --> 00:04:29,160
+موجود على سطح المتشور T-Lymphocyte CD4 وCD8 هما
+
+48
+00:04:29,160 --> 00:04:33,440
+يقومون بتقسيم T-cells into two subtypes Alpha Beta
+
+49
+00:04:33,440 --> 00:04:37,180
+CD4 وAlpha Beta CD8 The function of these
+
+50
+00:04:37,180 --> 00:04:44,360
+coreceptor molecules القاتى نمراه واحد بيرتبطبالـ
+
+51
+00:04:44,360 --> 00:04:47,060
+MHC موليكيولة على سطح الـ Antigen Presenting Cell
+
+52
+00:04:47,060 --> 00:04:53,340
+وظيفة الـ CD4 و CD8 نمرة واحد بيرتبط بالـ MHC
+
+53
+00:04:53,340 --> 00:04:56,580
+موليكيولة على سطح الـ Antigen Presenting Cell نمرة
+
+54
+00:04:56,580 --> 00:05:02,560
+اتنين Titan بيقوّي الـ Adherence between T Cell
+
+55
+00:05:02,560 --> 00:05:06,720
+and Antigen Presenting Cell هذه تقوية للرابطة اللي
+
+56
+00:05:06,720 --> 00:05:09,700
+حصلت نمرة ثالثة بلعب دور كبير في Signal
+
+57
+00:05:09,700 --> 00:05:14,640
+Transduction after activation of TCRالـ Antigen
+
+58
+00:05:14,640 --> 00:05:21,940
+Binding Alpha Beta Chain of TCR اللي موجودة على
+
+59
+00:05:21,940 --> 00:05:30,740
+سطح الـ T-cell in a multimolecular complex مرتبطة
+
+60
+00:05:31,560 --> 00:05:38,360
+بموليكيول بيسموها CD3 و Zeta Polypeptides و هذا ال
+
+61
+00:05:38,360 --> 00:05:48,780
+structure of TCR as a whole TCR في جنبه CD3 وجنبه
+
+62
+00:05:48,780 --> 00:05:52,500
+Zeta Polypeptide which act as a signal
+
+63
+00:05:52,500 --> 00:05:55,940
+transduction unit after antigen binding to alpha
+
+64
+00:05:55,940 --> 00:05:59,930
+betaيبقى Alpha Beta بيمسك في الـ Antigen لكن اللي
+
+65
+00:05:59,930 --> 00:06:03,930
+بيعمل Signal Transduction CD3Zeta موليكيولي اللي
+
+66
+00:06:03,930 --> 00:06:09,000
+جاعت جنب الـ TCRالـ T-cell أيضًا تدعي موليكيول على
+
+67
+00:06:09,000 --> 00:06:21,840
+الأرض بإضافة
+
+68
+00:06:21,840 --> 00:06:27,680
+إلى أدواء CD3 زيتا على سطح الـ TCR تلعب دور كبير
+
+69
+00:06:27,680 --> 00:06:33,520
+في الادهيجين في الcostimulation أيضًا في ال signal
+
+70
+00:06:33,520 --> 00:06:39,790
+transductionوهي CD28 عبارة عن cost stimulatory وهو
+
+71
+00:06:39,790 --> 00:06:44,830
+CTLA4 CTLA4 اللي هو cytotoxic lymphocyte antigen
+
+72
+00:06:44,830 --> 00:06:49,350
+رقم أربع أيضا هو عبارة عن inhibitory cytokine
+
+73
+00:06:49,350 --> 00:06:56,830
+receptor ثم Integrin lymphocyte function antigen
+
+74
+00:06:56,830 --> 00:07:04,520
+one هو عبارة عن CD11A CD18والـ VLA Very Late
+
+75
+00:07:04,520 --> 00:07:07,940
+Antigen 4 CD49D
+
+76
+00:07:07,940 --> 00:07:29,260
+CD29CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD2CD
+
+77
+00:07:30,980 --> 00:07:34,760
+لكنه موجود على minor population of human and mouse
+
+78
+00:07:34,760 --> 00:07:38,640
+T lymphocytes بيقولوا الـ Alpha Beta بشكل حوالي 90
+
+79
+00:07:38,640 --> 00:07:45,280
+% من الـ TCR لكن الـ Gamma Delta أقل أو 10% من الـ
+
+80
+00:07:45,280 --> 00:07:52,600
+TCR Gamma Delta أيضًا expressed على السطح الخلية
+
+81
+00:07:52,600 --> 00:08:00,350
+مرتبط بـ CD3Zالـ Gamma Delta Positive تسل موجود
+
+82
+00:08:00,350 --> 00:08:10,270
+على سطح CD4 إلا إن في بعضهم موجود على سطح CD8 والـ
+
+83
+00:08:10,270 --> 00:08:15,470
+function of Gamma Delta تسل لغاية الآن are not
+
+84
+00:08:15,470 --> 00:08:20,650
+well understood زي ما احنا بنعرف وظيفة Alpha و
+
+85
+00:08:20,650 --> 00:08:29,020
+Betaالـ gene coding for Beta, Gamma, Delta تبعت ال
+
+86
+00:08:29,020 --> 00:08:35,720
+TCR بيصير فيها Allelic Exclusion that is genes
+
+87
+00:08:35,720 --> 00:08:39,860
+from only one chromosome يا إما maternal يا إما
+
+88
+00:08:39,860 --> 00:08:44,260
+paternal بينما تبعت Alpha do not show Allelic
+
+89
+00:08:44,260 --> 00:08:49,310
+Exclusionبيحصل في عنا أربع أنواع من الـ TCR طوليبي
+
+90
+00:08:49,310 --> 00:08:53,530
+بتاع الـ TCR Alpha, Beta, Gamma, Delta الجينات
+
+91
+00:08:53,530 --> 00:08:56,090
+بتاعهم Beta, Gamma, Delta بيصير فيهم Allelic
+
+92
+00:08:56,090 --> 00:08:59,570
+Exclusion وينما Alpha ما بيصير فيها Allelic
+
+93
+00:08:59,570 --> 00:09:06,550
+Exclusion TCR في الأساس expressed on the surface
+
+94
+00:09:06,550 --> 00:09:11,770
+of developing T cell during differentiation in the
+
+95
+00:09:11,770 --> 00:09:16,110
+thymusأحنا عرفنا إنه هي في البداية تتصنع في الـ
+
+96
+00:09:16,110 --> 00:09:19,350
+bone marrow لكنها في مرحلة مبكرة جدا بتروح على
+
+97
+00:09:19,350 --> 00:09:22,630
+الthymus و هناك بيصير لها development and
+
+98
+00:09:22,630 --> 00:09:27,370
+differentiation the diversion development of T
+
+99
+00:09:27,370 --> 00:09:32,450
+cell using Alpha Beta as their receptor from those
+
+100
+00:09:32,450 --> 00:09:38,690
+using Gamma Delta يعني إنه الخلية في تطورها تختار
+
+101
+00:09:38,690 --> 00:09:48,600
+طريق Alpha Beta أو Gamma Deltaلغاية الآن بيصير ايه
+
+102
+00:09:48,600 --> 00:09:51,700
+اللي in the differentiation pathway in the thymus
+
+103
+00:09:51,700 --> 00:09:58,920
+بيصير في بدايات اللي هو تكوين ال TCR وين بيصير
+
+104
+00:09:58,920 --> 00:10:05,910
+بيصير في ال thymusAlpha Beta TCR CD4 CD8 Positive
+
+105
+00:10:05,910 --> 00:10:11,970
+Thymocytes بيسموها Double Positive Thymocytes or
+
+106
+00:10:11,970 --> 00:10:17,410
+cells بيسموها Thymic Selection وبالتالي هذا الكلام
+
+107
+00:10:17,410 --> 00:10:22,490
+بيصير من خلال ال interaction of TCR and coreceptor
+
+108
+00:10:22,490 --> 00:10:28,950
+molecule على سطح ال T cell وده MC molecule and
+
+109
+00:10:28,950 --> 00:10:32,570
+بيبتعد expressed by Thymic Non-Lymphoid Cellفي
+
+110
+00:10:32,570 --> 00:10:39,710
+خلايا اللي هي non-lymphoid cell بتقدم الـ MSC
+
+111
+00:10:39,710 --> 00:10:44,010
+موليكيول للـ T-lymphocyte والارتباط ما بين الـ T
+
+112
+00:10:44,010 --> 00:10:48,310
+-cell اللي هي عبارة عن Alpha Beta TCR CD4 Positive
+
+113
+00:10:48,310 --> 00:10:53,450
+CD8 Positive أو Double Positive Cell والـ MSC
+
+114
+00:10:53,450 --> 00:10:59,670
+موليكيول هو أساس في عملية اللي هو الـ Thymic
+
+115
+00:10:59,670 --> 00:11:08,400
+Selectionيوجد خلائة تسمى
+
+116
+00:11:08,400 --> 00:11:13,600
+Cortical
+
+117
+00:11:13,600 --> 00:11:24,140
+Epithelial Cell تبدأ تتعلم وتدرب تلينفوسايتز وإذا
+
+118
+00:11:24,140 --> 00:11:29,680
+كانت كخلية عميلة فهي تتعامل مع الانتجين فقط عندما
+
+119
+00:11:29,680 --> 00:11:34,030
+تتعامل مع خليةthat express the same MHC molecule
+
+120
+00:11:34,030 --> 00:11:37,550
+المفروض ان الـ T lymphocyte في هذه المرحلة تتعرف
+
+121
+00:11:37,550 --> 00:11:47,030
+على قلاي على ال MHC molecule اللي اصلا شافته جابل
+
+122
+00:11:47,030 --> 00:11:51,270
+هيك during differentiation and thymus ماشي يبقى
+
+123
+00:11:51,270 --> 00:11:55,150
+اول خطوة احنا بنعلم فيها ال T lymphocyte من خلال
+
+124
+00:11:55,150 --> 00:12:00,110
+تقديم ال MHC molecule اللي already انشاف جابل هيك
+
+125
+00:12:00,110 --> 00:12:04,010
+او اتصلنا معاهاduring their differentiation تصنع
+
+126
+00:12:04,010 --> 00:12:07,250
+معاها during their differentiation اللي هم الـ T
+
+127
+00:12:07,250 --> 00:12:13,090
+lymphocytes بتروحوا مرتبطة فيه و بيسموه طبعا هذه
+
+128
+00:12:13,090 --> 00:12:17,090
+الحالة positive selection طبعا اللي بيرتبطوا بال
+
+129
+00:12:17,090 --> 00:12:21,270
+MSC molecule they are surviving بينما اللي ما
+
+130
+00:12:21,270 --> 00:12:25,430
+بتعرفوا على MSC molecule بيسموهم بموتو بيابوتوسيز
+
+131
+00:12:25,430 --> 00:12:30,270
+و بيسمو هذه المرحلة MSC restriction of T cell
+
+132
+00:12:30,270 --> 00:12:39,070
+responseاللي بعد ذلك بتنزل الـ T lymphocyte deep
+
+133
+00:12:39,070 --> 00:12:44,470
+in the thymus و بيصير في مرحلة تانية أو selection
+
+134
+00:12:44,470 --> 00:12:47,670
+تانية بيسموه negative selection كل ما هناك ان
+
+135
+00:12:47,670 --> 00:12:51,970
+الـdendritic cell at the junction of thymic cortex
+
+136
+00:12:51,970 --> 00:13:01,450
+and مضلة بتروح وهي removes
+
+137
+00:13:02,540 --> 00:13:09,620
+T cell خلصة من الـ T lymphocytes اللي عندها القدرة
+
+138
+00:13:09,620 --> 00:13:13,640
+انها ترتبط مع ال MSC موليكيول اللي ماسك self
+
+139
+00:13:13,640 --> 00:13:19,740
+-antigen وبالتالي هذا الكلام كل خلايا تمسك تتعرف
+
+140
+00:13:19,740 --> 00:13:23,420
+على self-antigen it will be removed by apoptosis
+
+141
+00:13:23,420 --> 00:13:26,500
+and this will ensure self-tolerance this will
+
+142
+00:13:26,500 --> 00:13:31,540
+ensure self-tolerance وبهذا الحال في هذا المرحلة
+
+143
+00:13:31,850 --> 00:13:36,230
+طبعا في thymus صار ل الخلية self amnesia
+
+144
+00:13:36,230 --> 00:13:39,670
+restriction وصار لها self-tolerance صار لها ايش
+
+145
+00:13:39,670 --> 00:13:42,970
+self-tolerance يبقى مرحلتين positive selection و
+
+146
+00:13:42,970 --> 00:13:45,430
+negative selection في ال positive selection صار
+
+147
+00:13:45,430 --> 00:13:49,150
+amnesia restriction of telephysites وفي المرحلة
+
+148
+00:13:49,150 --> 00:13:53,110
+التانية صار self-tolerance يعني self non self
+
+149
+00:13:53,110 --> 00:14:00,330
+discrimination alpha beta cd4 positive cd8
+
+150
+00:14:00,330 --> 00:14:07,710
+positivethat survived negative selection والله عدت
+
+151
+00:14:07,710 --> 00:14:11,290
+من ال negative selection هي و الجامعة delta
+
+152
+00:14:11,290 --> 00:14:15,330
+positive T lymphocytes leave the thymus بيطلعوا من
+
+153
+00:14:15,330 --> 00:14:21,210
+ال thymus ودولة بيكونوا repertoire of peripheral T
+
+154
+00:14:21,210 --> 00:14:25,130
+cell in the blood و بيروحوا على ال secondary
+
+155
+00:14:25,130 --> 00:14:30,270
+lymphoid organs and they respond to non self or
+
+156
+00:14:30,270 --> 00:14:32,230
+foreign antigen
+
+157
+00:14:36,190 --> 00:14:44,750
+TCR ريسبتور كومبليكس تكون من الـTCR وCD3 وZeta
+
+158
+00:14:53,780 --> 00:15:02,960
+و Zeta وهي CD2247 بيشكلوا
+
+159
+00:15:02,960 --> 00:15:08,940
+الـ TCR اللي CD3 و Zeta والي بيبتعد ما بيرتبطوا في
+
+160
+00:15:08,940 --> 00:15:12,720
+الانتجن لكن هم دورهم الأساسي Signal Transduction
+
+161
+00:15:12,720 --> 00:15:17,320
+Molecule بس واجتيش after TCR binding to the
+
+162
+00:15:17,320 --> 00:15:22,920
+antigen يعني بعد ما اتنشط ال TCR ويرتبطبالـ
+
+163
+00:15:22,920 --> 00:15:28,840
+Antigen بدوا الـ CD3Z يعملوا Signal Transduction
+
+164
+00:15:28,840 --> 00:15:32,820
+على نفس النمط اللي صار مع Immunoglobulin Alpha و
+
+165
+00:15:32,820 --> 00:15:37,080
+Immunoglobulin Beta لجنب الـVCR وعملوا
+
+166
+00:15:37,080 --> 00:15:42,740
+Transduction هناك After Antigen binding to the
+
+167
+00:15:42,740 --> 00:15:49,180
+Alpha Beta Chain ال Immunoreceptor tyrosine based
+
+168
+00:15:49,180 --> 00:15:55,270
+activation motifموجودة أيضًا في الـ CD3 والزيتا
+
+169
+00:15:55,270 --> 00:16:00,070
+بلعب دور كبير in the early phase of T cell
+
+170
+00:16:00,070 --> 00:16:03,770
+activation طبعًا مثلًا Phosphorylation يبدو نشطه
+
+171
+00:16:03,770 --> 00:16:10,990
+Air الـ T lymphocytes هذا هو الـ TCR وظيفته
+
+172
+00:16:10,990 --> 00:16:17,130
+Antigen Binding جنبه في CD3 هذا هو بيتكون منGamma
+
+173
+00:16:17,130 --> 00:16:24,150
+Delta Epsilon طبعا هذا بتكون تسمية
+
+174
+00:16:24,150 --> 00:16:30,730
+تكملة لـ Alpha Beta Gamma Delta وEpsilon جنبهم فيه
+
+175
+00:16:30,730 --> 00:16:36,190
+Zeta إذا بتلاحظوا اللي هو ال Intracytoplasmic
+
+176
+00:16:36,190 --> 00:16:43,070
+portion وظيفتهم signal transduction only both TCR
+
+177
+00:16:43,070 --> 00:16:51,580
+and immunoglobulinو مجموعة أخرى تدعي أن الجسم
+
+178
+00:16:51,580 --> 00:17:03,000
+تتطور من جين عام و كسرال جميعهم في مجموعة بيطلعون
+
+179
+00:17:03,000 --> 00:17:07,820
+هذه الأشكال كلها زي ما رأينا في الانتباهي و رأينا
+
+180
+00:17:07,820 --> 00:17:16,330
+في مجموعة أخرىما هي الفرقات الموجودة ما بين TCR و
+
+181
+00:17:16,330 --> 00:17:23,450
+Immunoglobulin؟ TCR هو Monovalent ومشبه الـ
+
+182
+00:17:23,450 --> 00:17:28,190
+Monovalent فهب فرق في Immunoglobulin لأن هذا هو
+
+183
+00:17:28,190 --> 00:17:35,170
+الاختلاف او التشابه
+
+184
+00:17:35,170 --> 00:17:39,210
+عفوا هنا هذا TCR هو ده Monovalent لكن
+
+185
+00:17:39,210 --> 00:17:45,040
+Immunoglobulin هو Dyvalent فهبكل TCR يشبه FAB في
+
+186
+00:17:45,040 --> 00:17:51,800
+الامينoglobulin ال TCR ريجد هو السبب في ذلك أنه
+
+187
+00:17:51,800 --> 00:17:57,720
+فيه interaction مستمر بين ال domain بينما
+
+188
+00:17:57,720 --> 00:18:01,500
+الامينoglobulin flexible فهنا four polypeptide
+
+189
+00:18:01,500 --> 00:18:08,300
+chain ممسكين في النص يعني يتخلى لهم انتجين وانتجين
+
+190
+00:18:08,300 --> 00:18:11,580
+وانتجين وانتجين وانتجين وانتجين وانتجين وانتجين
+
+191
+00:18:11,580 --> 00:18:17,500
+وانتجينالفرق التالت الـ TCR interact with small
+
+192
+00:18:17,500 --> 00:18:20,600
+fragments of protein ممسوقة على سطح الـ Antigen
+
+193
+00:18:20,600 --> 00:18:26,960
+-presenting cell مرتبط بالـ MHC موليكيوم ماشي
+
+194
+00:18:26,960 --> 00:18:32,040
+بينما ال Immunoglobulin can recognize a variety of
+
+195
+00:18:32,040 --> 00:18:39,750
+structure and shapes of antigenالـ TCR بيختلف
+
+196
+00:18:39,750 --> 00:18:47,330
+أيضًا عن الـ immunoglobulin أنه فقط وجدت صحراء على
+
+197
+00:18:47,330 --> 00:18:51,810
+صحراء الممبرينة وليسوا محفوظين في البلازمة زي ما
+
+198
+00:18:51,810 --> 00:18:53,250
+بنشوف في ال immunoglobulin
+
+199
+00:18:56,420 --> 00:19:00,560
+الحاجة التانية انه there is no change in TCR
+
+200
+00:19:00,560 --> 00:19:03,300
+during the response to antigen بينما ال
+
+201
+00:19:03,300 --> 00:19:06,880
+immunoglobulin بيصير له somatic hyper mutation و
+
+202
+00:19:06,880 --> 00:19:12,080
+بيصير له class switching أيضا بعد ما يصير فيه
+
+203
+00:19:12,080 --> 00:19:16,820
+ارتباط بال antigen هذه هي اختلافات ما بين ال TCR و
+
+204
+00:19:16,820 --> 00:19:20,540
+ما بين ال immunoglobulin و هذه عبارة عن ال
+
+205
+00:19:21,170 --> 00:19:23,770
+الموليكيول اللى موجودة على سطح الـ Cell membrane
+
+206
+00:19:23,770 --> 00:19:28,990
+of Telophosphate و لاحظوها الـ TCR جنبه في CD3
+
+207
+00:19:28,990 --> 00:19:32,870
+زيتا اللى هو مسؤولين عن ال signal transduction ثم
+
+208
+00:19:32,870 --> 00:19:37,070
+CD4 او CD8 اللى هو ال coreceptor و ثم
+
+209
+00:19:37,070 --> 00:19:43,090
+الcostimulatory موليكيول CD28 CD على A4 و في اخر
+
+210
+00:19:43,090 --> 00:19:47,170
+موليكيول كCD40 legendاللي بيمسك في CD40 على الـ B
+
+211
+00:19:47,170 --> 00:19:51,410
+-Lymphocyte والـ ECOS اللي بيتمرضه بالـ ECOS
+
+212
+00:19:51,410 --> 00:19:55,650
+-Ligand اللي على سطح الـ CD4 الـ B-Lymphocyte ثم
+
+213
+00:19:55,650 --> 00:19:59,190
+فيه adhesive molecule او adhesive molecule زي الـ
+
+214
+00:19:59,190 --> 00:20:08,670
+FA1 وال VLA4 CD2 CD62 Ligand و هكذا كل عبارة عن
+
+215
+00:20:08,670 --> 00:20:12,380
+adhesive molecule ثم فيه Chemokine Receptorاللي هو
+
+216
+00:20:12,380 --> 00:20:18,960
+عبارة عن الـ Chemokine receptor number seven طبعا
+
+217
+00:20:18,960 --> 00:20:23,280
+هذه التسميات هي leukocyte LCA هو عبارة عن
+
+218
+00:20:23,280 --> 00:20:27,740
+leukocyte common antigen CTL cytotoxic T
+
+219
+00:20:27,740 --> 00:20:34,180
+lymphocytes VLA very late antigen CTLA cytotoxic
+
+220
+00:20:34,180 --> 00:20:39,060
+lymphocyte antigen و LFA lymphocyte functional
+
+221
+00:20:39,060 --> 00:20:46,700
+antigenالـ Coreceptor، قلنا فيه CD4 وCD8 وقلنا الـ
+
+222
+00:20:46,700 --> 00:20:49,400
+Immature T lymphocyte اللي بيصل لـ differentiation
+
+223
+00:20:49,400 --> 00:20:54,500
+في الـ thymus express both CD4 وCD8 واتفقنا على أن
+
+224
+00:20:54,500 --> 00:20:58,400
+الـ CD4 بيرتبط بـ Class II MHC موليكيول بينما الـ
+
+225
+00:20:58,400 --> 00:21:05,660
+CD8 بترتبط بالـ MHC Class I موليكيول وإن CD4 وCD8
+
+226
+00:21:05,660 --> 00:21:08,900
+تعمل كموليكيول الهيجيني في التعامل مع الـ T cell
+
+227
+00:21:10,110 --> 00:21:14,030
+يُمثلِط بالـ Antigen-presenting cell وهذا بيقوّي
+
+228
+00:21:14,030 --> 00:21:16,890
+الرابط ما بين الـ T-cell وAntigen-presenting cell
+
+229
+00:21:16,890 --> 00:21:21,030
+وإن CD4 و CD8 أيضًا involved in signal
+
+230
+00:21:21,030 --> 00:21:26,430
+transduction لكن بعد الارتباط بالـ Antigen بعد
+
+231
+00:21:26,430 --> 00:21:31,550
+ارتباط TCR بالـ Antigen وإن الـ Intracellular
+
+232
+00:21:31,550 --> 00:21:41,660
+portion of CD4 وCD8 مرتبط أو فيهالـ Thyrosine
+
+233
+00:21:41,660 --> 00:21:47,840
+Kinase Enzyme وده مهم جدا ان تيس ال activation
+
+234
+00:21:47,840 --> 00:21:54,120
+pathway اخر حاجة جاله النسبة ما بين ال CD4 to CD8
+
+235
+00:21:54,120 --> 00:22:03,880
+CD4 دعفى ال CD2 ل1 cost of natural legend هي اللي
+
+236
+00:22:03,880 --> 00:22:07,580
+بيصير انه بيصير في ارتباط ما بين احنا قولنا فيه CD
+
+237
+00:22:07,580 --> 00:22:12,280
+28بيرتبط بالـ B7 على سطح اللي هو الـ Antigen
+
+238
+00:22:12,280 --> 00:22:16,120
+Presenting Cell هو برهن Co-Stimulatory أو Second
+
+239
+00:22:16,120 --> 00:22:21,800
+Signal for T Cell Activation Its Co-Stimulation is
+
+240
+00:22:21,800 --> 00:22:26,000
+required in addition to the interaction of TCR
+
+241
+00:22:26,000 --> 00:22:32,200
+بالأنتجن وهي بتصير to activate Naive T Cell و الـ
+
+242
+00:22:32,200 --> 00:22:35,140
+Naive T Cell هي برهن الخلية التي لم تصادف أنتجن
+
+243
+00:22:35,140 --> 00:22:41,470
+مسبقاوبينما الـ Activated T Cell في على سطحها
+
+244
+00:22:41,470 --> 00:22:46,610
+أيضًا CTLA4 اللي مرتبط بـ CD28 وده وظيفته
+
+245
+00:22:46,610 --> 00:22:53,230
+Inhibitory اللي هو موليكيول بيعمل Negative Signal
+
+246
+00:22:53,230 --> 00:23:00,090
+لـ Activated T-Lymphocytes طبعًا كل الـ T
+
+247
+00:23:00,090 --> 00:23:03,530
+-Lymphocytes أيضًا على سطحها CD2 وده برنامج
+
+248
+00:23:03,530 --> 00:23:08,610
+Adhesive موليكيولوبيعمل signal transduction
+
+249
+00:23:08,610 --> 00:23:17,050
+properties in addition to CD4 and CD8 CD2,
+
+250
+00:23:17,230 --> 00:23:22,970
+CD4, CD8 are only expressed on T lymphocytes
+
+251
+00:23:22,970 --> 00:23:32,470
+Integrand هم الـ 1000A1 و VLA4 الـ 1000A1 موجود
+
+252
+00:23:32,470 --> 00:23:39,140
+على T سلبيرتبط بـ several ligands زي الـ ICAM-1
+
+253
+00:23:39,140 --> 00:23:43,240
+على سطح الـ endothelial cell وعلى سطح الـ antigen
+
+254
+00:23:43,240 --> 00:23:47,180
+-presenting cell زي الـ macrophage و الـdendritic
+
+255
+00:23:47,180 --> 00:23:52,240
+cell الـ
+
+256
+00:23:52,240 --> 00:23:57,260
+homing فنومينا كنا بنعرف انه بيصير فيه homing
+
+257
+00:23:57,260 --> 00:24:00,560
+لكتيرينفوسايت looking after the antigen بتضل تلف
+
+258
+00:24:00,560 --> 00:24:06,040
+ما بين ال blood والsecondary lymphoid organsاللي
+
+259
+00:24:06,040 --> 00:24:08,920
+الـ homing phenomena is mediated usually by
+
+260
+00:24:08,920 --> 00:24:13,920
+موليكيول اللي هو CD62 الـ legend وهو برنامج L
+
+261
+00:24:13,920 --> 00:24:21,640
+-Selectin موجود على سطح نييف T cell surface بثبت
+
+262
+00:24:21,640 --> 00:24:26,140
+بجليكوبروتين موليكيول known as adresins موجود على
+
+263
+00:24:26,140 --> 00:24:32,380
+سطح الخلايا in a specialized region of vascular
+
+264
+00:24:32,380 --> 00:24:38,420
+endotheliumand at the boundary of the node يعني
+
+265
+00:24:38,420 --> 00:24:44,280
+على أطراف ال nodes بيكون موجود اللي هو vascular
+
+266
+00:24:44,280 --> 00:24:49,800
+endothelial cell بيربط
+
+267
+00:24:49,800 --> 00:24:54,480
+ال tele lymphocytes بهذه
+
+268
+00:24:54,480 --> 00:24:58,990
+الخلاياهنا اتفقنا على ان الـ T lymphocyte لما
+
+269
+00:24:58,990 --> 00:25:03,270
+بتصادف انتجين ايضا تاخده تيجي على السطح على ال
+
+270
+00:25:03,270 --> 00:25:07,310
+secondary lymphoid organs و هناك بتتم عملية ال
+
+271
+00:25:07,310 --> 00:25:13,710
+activation T cell differentiation قالوا the
+
+272
+00:25:13,710 --> 00:25:19,330
+developing T lymphocyte او Thymocytes interact
+
+273
+00:25:19,330 --> 00:25:23,770
+with non lymphoid stromal cell of the thymusفي الـ
+
+274
+00:25:23,770 --> 00:25:27,650
+Thymus زي الـ Cortical Epithelial Cell وDendritic
+
+275
+00:25:27,650 --> 00:25:30,810
+Cell اللي موجودة في الـ junction of the Cortex and
+
+276
+00:25:30,810 --> 00:25:37,830
+Medulla هذه الـ Non-Lymphoid Cell بتزود طبعا
+
+277
+00:25:37,830 --> 00:25:43,690
+Critical Cell Surface Interaction required for the
+
+278
+00:25:43,690 --> 00:25:48,650
+development of maturing T Cellأيضًا هذه الخلايا
+
+279
+00:25:48,650 --> 00:25:53,770
+الـ stromal cell of the thymus can produce IL-7
+
+280
+00:25:53,770 --> 00:26:00,310
+which induce proliferation of T and B cell في حالة
+
+281
+00:26:00,310 --> 00:26:08,970
+الـB وكان ال ratio ما بين T وB تلت أضعاف الـB و
+
+282
+00:26:08,970 --> 00:26:14,370
+أيضًا هرمون مهم جدًا مسئول عن ال differentiation
+
+283
+00:26:14,370 --> 00:26:25,630
+of T cellهو الـ Thymosin أو الـ Thymopoietin وهو
+
+284
+00:26:25,630 --> 00:26:30,550
+عبارة عن ريجلاتري هورمون الـ Thymic Selection قلنا
+
+285
+00:26:30,550 --> 00:26:33,370
+فيه Positive Selection و فيه Negative Selection و
+
+286
+00:26:33,370 --> 00:26:38,190
+اتفقنا شرحناهم سابقا ال Positive Selection اللي هو
+
+287
+00:26:38,190 --> 00:26:42,690
+الـ Double Positive Thymosin كرتبت بالعمل
+
+288
+00:26:42,690 --> 00:26:48,350
+Simoleculeماشي اللي شاء تصنع معاها في البداية اللي
+
+289
+00:26:48,350 --> 00:26:52,130
+بتمسك بالأمد شي موليكيه بتتعرف عليه بصير لها
+
+290
+00:26:52,130 --> 00:26:55,670
+survival بينما اللي ما بتتعرف عليه بتموت by
+
+291
+00:26:55,670 --> 00:27:01,270
+apoptosis ماشي ال
+
+292
+00:27:01,270 --> 00:27:07,130
+positive selection متى ما صار بعمل down regulation
+
+293
+00:27:07,130 --> 00:27:12,470
+لراج واحد وراج اتنين gene وبالتالي بتقلل من عملية
+
+294
+00:27:12,470 --> 00:27:19,140
+ال gene rearrangementماشي بعد هيكا developing
+
+295
+00:27:19,140 --> 00:27:25,400
+alpha beta TCR educated to MHC molecule can
+
+296
+00:27:25,400 --> 00:27:30,460
+respond to antigen يوم ما يرتبط بالاش بال MHC
+
+297
+00:27:30,460 --> 00:27:35,260
+molecule ال
+
+298
+00:27:35,260 --> 00:27:38,640
+MHC molecule expressed in the person's eye mass
+
+299
+00:27:38,640 --> 00:27:42,780
+and that educate his or her developing T
+
+300
+00:27:42,780 --> 00:27:48,670
+lymphocyte بيسموه selfMHC موليكيول وكل ال other
+
+301
+00:27:48,670 --> 00:27:54,290
+types of MHC موليكيول هم عبارة عن non self وهذه هي
+
+302
+00:27:54,290 --> 00:27:59,230
+أساس ظاهرة اللي بنحكي عليها ال MHC restriction
+
+303
+00:27:59,230 --> 00:28:03,610
+فنومنا ما بين هو عبارة عن self MHC restriction
+
+304
+00:28:03,610 --> 00:28:08,510
+وهذه عبارة عن central to T cell response ضروري جدا
+
+305
+00:28:08,510 --> 00:28:12,580
+يكون هي عبارة عن ال MHCهو نفس الامر الـ MSC اللي
+
+306
+00:28:12,580 --> 00:28:15,140
+سلوا الـ differentiation معاها during its
+
+307
+00:28:15,140 --> 00:28:22,560
+development negative selection طبعا قلنا انها
+
+308
+00:28:22,560 --> 00:28:28,780
+بيحصل في ال junction of corticomedullary portion
+
+309
+00:28:28,780 --> 00:28:36,160
+شو اللي بيحصل ان ال T cell يتقدم لها ال self
+
+310
+00:28:36,160 --> 00:28:39,940
+-antigen مرتبط بالامر MSC molecule طبعا في هذا
+
+311
+00:28:39,940 --> 00:28:44,190
+الحالة المفروضتميز بين الـ self و الـ non-self
+
+312
+00:28:44,190 --> 00:28:50,530
+فالخلايا التي ترتبط بالـ self بيموت بـ apoptosis
+
+313
+00:28:50,530 --> 00:28:56,510
+بينما التي لا ترتبط بالـ cell it will survive الا
+
+314
+00:28:56,510 --> 00:29:01,870
+اذا كان في خلاياتي الانفوسايتز عندها strong
+
+315
+00:29:01,870 --> 00:29:07,350
+reactivity to self component وتركت
+
+316
+00:29:07,350 --> 00:29:12,940
+الthymus تطلع براIt can interact with the antigen
+
+317
+00:29:12,940 --> 00:29:17,300
+ويمكن تعمل autoimmune disease ويمكن تعمل
+
+318
+00:29:17,300 --> 00:29:20,140
+autoimmune disease عشان نمنع هذا ال negative
+
+319
+00:29:20,140 --> 00:29:21,420
+selection مصير عشان نمنع هذا ال negative selection
+
+320
+00:29:21,420 --> 00:29:22,940
+مصير هلأ في ال negative selection هلأ في ال
+
+321
+00:29:22,940 --> 00:29:25,980
+negative selection زي ما قلنا ان هذه الخلايا
+
+322
+00:29:25,980 --> 00:29:31,940
+بتتعلم تفرج ما بين ال self و ال non-self antigen
+
+323
+00:29:31,940 --> 00:29:36,840
+هلأ بعد ذلك ال double positive interact with the
+
+324
+00:29:36,840 --> 00:29:39,020
+MSC expressed on the dendritic cell
+
+325
+00:29:42,480 --> 00:29:49,240
+اللي عندها too high affinity TCR طبعا تي سيل اللي
+
+326
+00:29:49,240 --> 00:29:53,820
+هي expressing TCR that react with too high
+
+327
+00:29:53,820 --> 00:29:56,160
+affinity to the recombination of amethyst and
+
+328
+00:29:56,160 --> 00:30:03,420
+peptide they are طبعا deleted by apoptosisوبالتالي
+
+329
+00:30:03,420 --> 00:30:07,160
+الـ Negative Selection هو عبارة عن عملية بنفرق
+
+330
+00:30:07,160 --> 00:30:10,700
+فيها ما بين الـ Self و الـ Non-Self بعد هيك الـ
+
+331
+00:30:10,700 --> 00:30:15,580
+Double Positive بيصير لها ال .. بيصير لها
+
+332
+00:30:15,580 --> 00:30:21,900
+Surviving ماشي بيصير فيك عندها Down Regulation
+
+333
+00:30:21,900 --> 00:30:28,690
+لواحد من التانين CD4 أو CD8 وبتبدأ الخلية تتميزاما
+
+334
+00:30:28,690 --> 00:30:34,850
+CD4 واما CD8 وكل خلايا اللى بتطلع بتكون عندها
+
+335
+00:30:34,850 --> 00:30:37,450
+خاصيتين الخاصية الأولانية self-emphasis
+
+336
+00:30:37,450 --> 00:30:45,630
+restriction و الخاصية التانية self-tolerant دول ال
+
+337
+00:30:45,630 --> 00:30:51,010
+autoimmune regulatory gene in negative selection
+
+338
+00:30:52,250 --> 00:30:55,370
+كانوا طالعين بسؤال نطرح نفسه انه كيف الـ self
+
+339
+00:30:55,370 --> 00:31:01,790
+-tolerance بيصير لـ self-antigen outside the
+
+340
+00:31:01,790 --> 00:31:06,170
+thymus احنا علمنا الخلية في داخل الـ thymus طب
+
+341
+00:31:06,170 --> 00:31:10,550
+برضه الـ thymus هتشوف بعض ال self-antigen اللي ناس
+
+342
+00:31:10,550 --> 00:31:16,320
+خدفته و اتشافته قبلين و اتعلمت عليهالدراسات قالت
+
+343
+00:31:16,320 --> 00:31:21,180
+تثبت بالدراسات من خلال دراسات that at least some
+
+344
+00:31:21,180 --> 00:31:24,140
+of cell molecules normally synthesized by tissue
+
+345
+00:31:24,140 --> 00:31:27,900
+outside the thymus بعض الانتجنات اللي بتتصنع برا
+
+346
+00:31:27,900 --> 00:31:32,860
+ال thymus بما فيها الانسولين و الthyroglobulin
+
+347
+00:31:32,860 --> 00:31:36,680
+والميلين بيزيك بروتين كل عبارة عن ايه عشان عبارة
+
+348
+00:31:36,680 --> 00:31:40,660
+عن بروتين بتتصنع خارج اللي هو ال thymus those
+
+349
+00:31:40,660 --> 00:31:45,130
+proteins are expressed by epithelialفي خلايا
+
+350
+00:31:45,130 --> 00:31:49,890
+ابيثيلية they express these proteins مرتبط
+
+351
+00:31:49,890 --> 00:31:56,210
+بالأمهات C موليكيول أيضا فيهاش في المضلة وإن الناس
+
+352
+00:31:56,210 --> 00:32:05,470
+اللي انه
+
+353
+00:32:05,470 --> 00:32:10,730
+these studies أيضا استكملها للموضوع بتقترح ان
+
+354
+00:32:10,730 --> 00:32:17,750
+المضلة الابيثيلية cellsو اكتشاف اكتشاف اكتشاف
+
+355
+00:32:17,750 --> 00:32:19,190
+اكتشاف اكتشاف اكتشاف اكتشاف اكتشاف اكتشاف اكتشاف
+
+356
+00:32:19,190 --> 00:32:19,330
+اكتشاف اكتشاف اكتشاف اكتشاف اكتشاف اكتشاف اكتشاف
+
+357
+00:32:19,330 --> 00:32:21,470
+اكتشاف اكتشاف اكتشاف اكتشاف اكتشف اكتشف اكتشف
+
+358
+00:32:21,470 --> 00:32:25,070
+اكتشف اكتشف اكتشف اكتشف اكتشف اكتشف اكتشف اكتشف
+
+359
+00:32:25,070 --> 00:32:26,650
+اكتشف اكتشف اكتشف اكتشف اكتشف اكتشف اكتشف اكتشف
+
+360
+00:32:26,650 --> 00:32:38,990
+اكتشف اكتشف اكتشف اكتشف اكت
+
+361
+00:32:39,020 --> 00:32:42,500
+in the thymic medullary epithelial cells بلعب دوري
+
+362
+00:32:42,500 --> 00:32:46,880
+كبير في عملية ال expression of this molecule وإن
+
+363
+00:32:46,880 --> 00:32:53,040
+الناس اللي ما عندها ال autoimmune regulatory gene
+
+364
+00:32:53,040 --> 00:33:01,700
+product they are lacking of this gene بيصير عندهم
+
+365
+00:33:01,700 --> 00:33:07,940
+deletion of autoreactive T lymphocyte impairment
+
+366
+00:33:09,310 --> 00:33:13,890
+وبالتالي المحصلة autoimmune response أو autoimmune
+
+367
+00:33:13,890 --> 00:33:19,090
+disease زي ال autoimmune polyendocrinopathy
+
+368
+00:33:19,090 --> 00:33:25,590
+candidiasis اكتر اكتر درمل دستروفي وهذا سندروم in
+
+369
+00:33:25,590 --> 00:33:31,610
+which multiple endocrine organ are targeted are
+
+370
+00:33:31,610 --> 00:33:34,730
+targeted يعني الناس اللي ما عندهم autoimmune
+
+371
+00:33:34,730 --> 00:33:43,100
+regulatory geneOrigin product ماشي They will
+
+372
+00:33:43,100 --> 00:33:47,000
+produce
+
+373
+00:33:47,000 --> 00:33:55,760
+autoimmune disease بدنا ناخد فعل اعتبار انه بعد ان
+
+374
+00:33:55,760 --> 00:34:01,700
+اضلت احنا قلنا ال famous بروح ماشي الا بس not الا
+
+375
+00:34:01,700 --> 00:34:06,900
+ان عيابه لا يؤثر علىالتي سيل برودكشن وهو يجاله في
+
+376
+00:34:06,900 --> 00:34:12,240
+two explanation لهذه الفرضية الفرضية الاولان انه
+
+377
+00:34:12,240 --> 00:34:15,980
+في remnant of thymus this remnant of thymus can
+
+378
+00:34:15,980 --> 00:34:20,950
+produce T lymphocyteوأكيد في extra side that takes
+
+379
+00:34:20,950 --> 00:34:26,410
+over فيما كماكن أخرى بدل ال thymus ممكن تصنع اللي
+
+380
+00:34:26,410 --> 00:34:32,090
+هو ال telemphocytes however ولكن if thymus is
+
+381
+00:34:32,090 --> 00:34:36,970
+removed تيسل are made somewhere تتصنع way في مكان
+
+382
+00:34:36,970 --> 00:34:44,790
+آخروهذا ماشي الكلام مع التفسير رقم اتنين اللي هو
+
+383
+00:34:44,790 --> 00:34:52,470
+فيه extra sides that takes over the mission طبعا
+
+384
+00:34:52,470 --> 00:34:58,750
+some children ممكن ينولدوا with thymus that failed
+
+385
+00:34:58,750 --> 00:35:05,320
+to develop correctly in uteroو بيعملوا مرض بيسموه
+
+386
+00:35:05,320 --> 00:35:09,540
+Digest Syndrome ما بيصنع هذا الطفل T lymphocyte at
+
+387
+00:35:09,540 --> 00:35:15,180
+all لأن already ال thymus عنده is not developed
+
+388
+00:35:15,180 --> 00:35:22,320
+correctly ايضا ال mice اللي عنده ال thymus does
+
+389
+00:35:22,320 --> 00:35:28,280
+not develop بيسموهم node mice ليش؟ لأن they lack
+
+390
+00:35:28,280 --> 00:35:33,000
+.. also they lack hair node بيعنيفار ناقص يعني
+
+391
+00:35:33,000 --> 00:35:39,160
+ناقص فار ناقص ليش لأنه كمان الفار هذا ما شمهاش ما
+
+392
+00:35:39,160 --> 00:35:45,160
+بيطلعلوش شعر في كامة الحالتين T lymphocyte do not
+
+393
+00:35:45,160 --> 00:35:53,910
+develop و T cell responses are defectiveهذا عبارة
+
+394
+00:35:53,910 --> 00:35:56,470
+عن development of T lymphocyte و هذه المراحل
+
+395
+00:35:56,470 --> 00:36:00,350
+المختلفة اللي بتمر فيها و لاحظوا انه في عندنا هنا
+
+396
+00:36:00,350 --> 00:36:05,730
+خلايا بتموت عمالها في هذه المراحل اللي هي ال في ال
+
+397
+00:36:05,730 --> 00:36:09,070
+positive و ال negative selection اي ال stem cell
+
+398
+00:36:09,070 --> 00:36:16,630
+في البداية بيكونش على سطحها marker ثم بيتولد CD4
+
+399
+00:36:16,630 --> 00:36:22,800
+CD8 TCR والله اللي بتتعرف على ال MSC moleculeتبعها
+
+400
+00:36:22,800 --> 00:36:26,880
+will survive ولي ما بتتعرف it will die by
+
+401
+00:36:26,880 --> 00:36:32,480
+apoptosis هدول اللي عاشوا بيمتحنوا مرة تانية في
+
+402
+00:36:32,480 --> 00:36:37,620
+المضلة او على طرف المضلة انهم بتقدم اللي هم ال TCR
+
+403
+00:36:37,620 --> 00:36:43,760
+بتقدم ال MSC مرتبط ب self antigen اللي بتعرف ..
+
+404
+00:36:43,760 --> 00:36:47,820
+اللي ما بتعرف will survive ولي بتعرف survive طبعا
+
+405
+00:36:47,820 --> 00:36:55,100
+بعد هيك الخلية بتصير اما CD4 واما CD8فروقات ما بين
+
+406
+00:36:55,100 --> 00:37:00,920
+الـ T-lymphocyte و الـ B-lymphocyte فينا جدول طويل
+
+407
+00:37:00,920 --> 00:37:04,660
+عريض ايه نمرا واحد انتجن ريسبتور على الارض التاني
+
+408
+00:37:04,660 --> 00:37:08,260
+ان عندهم انتجن ريسبتور واحد اسمه TCR والتاني اسمه
+
+409
+00:37:08,260 --> 00:37:12,160
+PCR recognition on processed peptide plus MRC and
+
+410
+00:37:12,160 --> 00:37:15,340
+Recure T-lymphocyte تحتاج الى انتجن presenting
+
+411
+00:37:15,340 --> 00:37:19,060
+cell بينما الـ B-lymphocyte لا تحتاج ال
+
+412
+00:37:19,060 --> 00:37:22,980
+requirement for antigen presentationطبعا الـ T
+
+413
+00:37:22,980 --> 00:37:26,620
+lymphocyte لا تقوم بعملية الـ presentation بينما
+
+414
+00:37:26,620 --> 00:37:31,700
+الـ B lymphocyte تقوم IGM on the surface موجود على
+
+415
+00:37:31,700 --> 00:37:35,700
+سطح الـ B lymphocytes CD3 موجود على سطح الـ T
+
+416
+00:37:35,700 --> 00:37:40,340
+lymphocytes الـ clonal expansion التانين عندهم بعد
+
+417
+00:37:40,340 --> 00:37:44,540
+ما ترتبط بالـ antigen Monoglobulin synthesis فقط
+
+418
+00:37:44,540 --> 00:37:48,280
+الـ B lymphocyte regulator of antibody synthesis
+
+419
+00:37:48,280 --> 00:37:53,150
+هذا دور الـ T lymphocyteالـ cytokine release أيضًا
+
+420
+00:37:53,150 --> 00:37:57,130
+من الـ T-lymphocytes if cell-mediated immunity
+
+421
+00:37:57,130 --> 00:38:00,750
+بتكون فيها الـ T-lymphocytes maturation in the
+
+422
+00:38:00,750 --> 00:38:04,730
+thymus أيضًا الـ T-lymphocytes و maturation in the
+
+423
+00:38:04,730 --> 00:38:10,450
+bone marrow بتكون تختص بالـ A-H بالـ B-lymphocytes
+
+424
+00:38:10,450 --> 00:38:15,630
+بدنا ناخد برضه فعل اعتبار عشان ننسى ان الـ NK cell
+
+425
+00:38:15,630 --> 00:38:22,340
+و الـ NKT cell أيضًا developed in the thymusوكمان
+
+426
+00:38:22,340 --> 00:38:28,920
+في تي ريج هي عبارة عن نوع من ال CD4 T-lymphocytes
+
+427
+00:38:28,920 --> 00:38:35,240
+لكن على سطح CD25 بتلعب دور كبير كregulator بتعمل
+
+428
+00:38:35,240 --> 00:38:39,640
+inhibitory response for both self and for an
+
+429
+00:38:39,640 --> 00:38:44,880
+antigen وإنه both CD4 وCD8 تنتين بيطلعوا من
+
+430
+00:38:44,880 --> 00:38:47,700
+الthymus بيروحوا على blood ثم secondary lymphoid
+
+431
+00:38:47,700 --> 00:38:53,670
+organs looking after antigenonce .. once .. once
+
+432
+00:38:53,670 --> 00:39:00,850
+يعني they connect with antigen سلهم activation and
+
+433
+00:39:00,850 --> 00:39:05,090
+differentiation و بتحولوا ل effector cell و طبعا
+
+434
+00:39:05,090 --> 00:39:15,370
+بعضهم بيتحول بيصير memory cell وهذا هي الحدوتة و
+
+435
+00:39:15,370 --> 00:39:23,410
+نرجو أن تكونوا قد استمتعتم ان شاء اللهبنعيش بهذه
+
+436
+00:39:23,410 --> 00:39:24,190
+المحاضرة
+
diff --git a/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/yQLz1foapm4_raw.json b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/yQLz1foapm4_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..637fe71d231122bab7f4b589448229a1644e8f31
--- /dev/null
+++ b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/yQLz1foapm4_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 3442, "start": 4.76, "end": 34.42, "text": "واصلنا المرة اللى فاتت الى type 2 antibody mediated cytotoxic reaction استكمالا لل hypersensitivity reaction واتفقنا على ان ال type 2 هو برنامج cytotoxic reaction ما بين IGG او IGM وانتجن موجود على سطح الخلايا مسكوا فيه نشطوا complement كثرة الخلية اللى اشتغلت عليها", "tokens": [2407, 33546, 1211, 8315, 9673, 25720, 13672, 7578, 6156, 9307, 2655, 2423, 7578, 2010, 568, 34507, 17269, 770, 40248, 310, 5230, 299, 5480, 44713, 24793, 6027, 995, 24976, 2477, 21819, 694, 270, 4253, 5480, 4032, 9307, 5172, 4587, 8315, 15844, 16472, 2423, 2010, 568, 31439, 4724, 2288, 8315, 2304, 7435, 40248, 310, 5230, 299, 5480, 19446, 49374, 26367, 38, 1975, 2407, 26367, 44, 4032, 7649, 2655, 7435, 1863, 3714, 29245, 23328, 15844, 8608, 9566, 5016, 33962, 15040, 25528, 47524, 4117, 14407, 8978, 3224, 8717, 8592, 9566, 14407, 17103, 9122, 12984, 25720, 33962, 1211, 10632, 13672, 7578, 1975, 8592, 2655, 17082, 1211, 2655, 25894, 11296], "avg_logprob": -0.2912202494485038, "compression_ratio": 1.5748987854251013, "no_speech_prob": 1.0132789611816406e-06, "words": [{"start": 4.76, "end": 5.46, "word": "واصلنا", "probability": 0.651275634765625}, {"start": 5.46, "end": 5.78, "word": " المرة", "probability": 0.8486328125}, {"start": 5.78, "end": 5.98, "word": " اللى", "probability": 0.6103515625}, {"start": 5.98, "end": 6.62, "word": " فاتت", "probability": 0.9817708333333334}, {"start": 6.62, "end": 8.58, "word": " الى", "probability": 0.78759765625}, {"start": 8.58, "end": 9.12, "word": " type", "probability": 0.54541015625}, {"start": 9.12, "end": 9.6, "word": " 2", "probability": 0.5087890625}, {"start": 9.6, "end": 10.58, "word": " antibody", "probability": 0.54345703125}, {"start": 10.58, "end": 11.14, "word": " mediated", "probability": 0.6827392578125}, {"start": 11.14, "end": 11.92, "word": " cytotoxic", "probability": 0.89697265625}, {"start": 11.92, "end": 12.52, "word": " reaction", "probability": 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0.6551106770833334}, {"start": 28.34, "end": 28.76, "word": " فيه", "probability": 0.875244140625}, {"start": 28.76, "end": 29.38, "word": " نشطوا", "probability": 0.7374267578125}, {"start": 29.38, "end": 29.98, "word": " complement", "probability": 0.494140625}, {"start": 29.98, "end": 31.28, "word": " كثرة", "probability": 0.4902750651041667}, {"start": 31.28, "end": 33.06, "word": " الخلية", "probability": 0.7975260416666666}, {"start": 33.06, "end": 33.44, "word": " اللى", "probability": 0.9560546875}, {"start": 33.44, "end": 33.98, "word": " اشتغلت", "probability": 0.9403483072916666}, {"start": 33.98, "end": 34.42, "word": " عليها", "probability": 0.993408203125}], "temperature": 1.0}, {"id": 2, "seek": 5266, "start": 41.08, "end": 52.66, "text": "الـ Antibody-mediated autoimmune disease الانتيبودي ايضا ادركت against normal self-antigen", "tokens": [6027, 39184, 5130, 897, 843, 12, 3130, 770, 8399, 49031, 4752, 2423, 7649, 31371, 3555, 2407, 16254, 1975, 1829, 11242, 995, 1975, 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51.66, "word": " normal", "probability": 0.52392578125}, {"start": 51.66, "end": 52.0, "word": " self", "probability": 0.8046875}, {"start": 52.0, "end": 52.66, "word": "-antigen", "probability": 0.8982747395833334}], "temperature": 1.0}, {"id": 3, "seek": 8794, "start": 59.5, "end": 87.94, "text": "following infection or modified self-antigen زي ما يحصل في drug-induced O2 antibody during طبعا binding of drug to certain cell membrane في كل تل حالتين target cell is damaged or destroyed ونشوف أمثلة على ذلك antibody-mediated mechanism", "tokens": [69, 1833, 9637, 11764, 420, 15873, 2698, 12, 394, 3213, 30767, 1829, 19446, 7251, 5016, 36520, 8978, 4110, 12, 471, 41209, 422, 17, 34507, 1830, 23032, 3555, 3615, 995, 17359, 295, 4110, 281, 1629, 2815, 19651, 8978, 28242, 6055, 1211, 11331, 6027, 2655, 9957, 3779, 2815, 307, 14080, 420, 8937, 4032, 1863, 8592, 38688, 5551, 2304, 12984, 37977, 15844, 29910, 23275, 34507, 12, 3130, 770, 7513], "avg_logprob": -0.303404862311349, 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"end": 1990.39, "word": " عشان", "probability": 0.93310546875}, {"start": 1990.39, "end": 1991.97, "word": " تتنشط", "probability": 0.914453125}, {"start": 1991.97, "end": 1993.23, "word": " بينما", "probability": 0.953125}, {"start": 1993.23, "end": 1993.69, "word": " الفلس", "probability": 0.9225260416666666}, {"start": 1993.69, "end": 1994.31, "word": " بيزيتيف", "probability": 0.7452799479166666}, {"start": 1994.31, "end": 1994.73, "word": " يحدث", "probability": 0.8486328125}, {"start": 1994.73, "end": 1994.89, "word": " في", "probability": 0.984375}, {"start": 1994.89, "end": 1995.31, "word": " حالات", "probability": 0.9609375}, {"start": 1995.31, "end": 1996.35, "word": " الvaccination", "probability": 0.7709147135416666}, {"start": 1996.35, "end": 1997.71, "word": " by", "probability": 0.65087890625}, {"start": 1997.71, "end": 1998.45, "word": " BCG", "probability": 0.863037109375}], "temperature": 1.0}, {"id": 80, "seek": 202785, "start": 2000.83, "end": 2027.85, "text": "الـ 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4253, 1300, 2894], "avg_logprob": -0.49999999605919704, "compression_ratio": 1.613821138211382, "no_speech_prob": 0.0, "words": [{"start": 2000.83, "end": 2001.03, "word": "الـ", "probability": 0.29022216796875}, {"start": 2001.03, "end": 2001.47, "word": " Allograft", "probability": 0.5130208333333334}, {"start": 2001.47, "end": 2002.11, "word": " Reaction", "probability": 0.6396484375}, {"start": 2002.11, "end": 2002.39, "word": " أو", "probability": 0.69384765625}, {"start": 2002.39, "end": 2002.57, "word": " الـ", "probability": 0.4713134765625}, {"start": 2002.57, "end": 2003.17, "word": " Rejection", "probability": 0.8922526041666666}, {"start": 2003.17, "end": 2003.67, "word": " عفوًا", "probability": 0.798681640625}, {"start": 2003.67, "end": 2005.59, "word": " طبعًا", "probability": 0.89609375}, {"start": 2005.59, "end": 2006.03, "word": " تتعامل", "probability": 0.54522705078125}, {"start": 2006.03, "end": 2006.31, "word": " مع", "probability": 0.2568359375}, {"start": 2006.31, "end": 2006.35, "word": " الـ", "probability": 0.462890625}, {"start": 2006.35, "end": 2006.59, "word": " Late", "probability": 0.12841796875}, {"start": 2006.59, "end": 2006.83, "word": " type", "probability": 0.413818359375}, {"start": 2006.83, "end": 2007.93, "word": " hypersensitivity", "probability": 0.87431640625}, {"start": 2007.93, "end": 2008.27, "word": " بشكل", "probability": 0.5826009114583334}, {"start": 2008.27, "end": 2009.33, "word": " كورتيكوستيرويد", "probability": 0.8826497395833334}, {"start": 2009.33, "end": 2010.29, "word": " بشكل", "probability": 0.5408528645833334}, {"start": 2010.29, "end": 2010.73, "word": " طبيعي", "probability": 0.695892333984375}, {"start": 2010.73, "end": 2011.47, "word": " أو", "probability": 0.88037109375}, {"start": 2011.47, "end": 2011.67, "word": " بشكل", "probability": 0.7467447916666666}, {"start": 2011.67, "end": 2013.07, "word": " أساسي", "probability": 0.64617919921875}, {"start": 2013.07, "end": 2015.09, "word": " إمينوسوبرسف", "probability": 0.4390055338541667}, {"start": 2015.09, "end": 2015.59, "word": " الدروس", "probability": 0.4783528645833333}, {"start": 2015.59, "end": 2016.35, "word": " قد", "probability": 0.5792236328125}, {"start": 2016.35, "end": 2016.49, "word": " يكون", "probability": 0.6534423828125}, {"start": 2016.49, "end": 2016.91, "word": " استخدامه", "probability": 0.7671875}, {"start": 2016.91, "end": 2017.07, "word": " في", "probability": 0.92626953125}, {"start": 2017.07, "end": 2018.21, "word": " حالات", "probability": 0.79736328125}, {"start": 2018.21, "end": 2019.61, "word": " عظيمة", "probability": 0.561798095703125}, {"start": 2019.61, "end": 2023.33, "word": " بهيك", "probability": 0.5550130208333334}, {"start": 2023.33, "end": 2023.69, "word": " بنكون", "probability": 0.861572265625}, {"start": 2023.69, "end": 2024.31, "word": " غطينا", "probability": 0.96826171875}, {"start": 2024.31, "end": 2025.07, "word": " الأنواع", "probability": 0.9764404296875}, {"start": 2025.07, "end": 2025.59, "word": " الأربعة", "probability": 0.8771158854166666}, {"start": 2025.59, "end": 2025.81, "word": " من", "probability": 0.98095703125}, {"start": 2025.81, "end": 2025.99, "word": " الـ", "probability": 0.76025390625}, {"start": 2025.99, "end": 2027.07, "word": " Hypersensitivity", "probability": 0.85869140625}, {"start": 2027.07, "end": 2027.85, "word": " Reaction", "probability": 0.7802734375}], "temperature": 1.0}, {"id": 81, "seek": 203835, "start": 2029.49, "end": 2038.35, "text": "نتمنى أن تكونوا قد استمتعتم بها واستفدتم منها", "tokens": [1863, 39237, 1863, 7578, 14739, 6055, 30544, 14407, 12174, 3215, 44713, 2304, 2655, 34268, 2304, 4724, 11296, 36764, 14851, 5172, 3215, 39237, 9154, 11296], "avg_logprob": -0.20203125, "compression_ratio": 1.1690140845070423, "no_speech_prob": 0.0, "words": [{"start": 2029.49, "end": 2030.63, "word": "نتمنى", "probability": 0.716064453125}, {"start": 2030.63, "end": 2031.57, "word": " أن", "probability": 0.552734375}, {"start": 2031.57, "end": 2032.15, "word": " تكونوا", "probability": 0.9410807291666666}, {"start": 2032.15, "end": 2033.07, "word": " قد", "probability": 0.7440185546875}, {"start": 2033.07, "end": 2035.53, "word": " استمتعتم", "probability": 0.97099609375}, {"start": 2035.53, "end": 2036.15, "word": " بها", "probability": 0.88525390625}, {"start": 2036.15, "end": 2037.95, "word": " واستفدتم", "probability": 0.844580078125}, {"start": 2037.95, "end": 2038.35, "word": " منها", "probability": 0.986572265625}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2076.723125, "duration_after_vad": 1939.3149999999944}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/zGPx39SDnxE.srt b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/zGPx39SDnxE.srt
new file mode 100644
index 0000000000000000000000000000000000000000..840e312f6841fc3e33d2086ff4f4f55184808248
--- /dev/null
+++ b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/zGPx39SDnxE.srt
@@ -0,0 +1,1263 @@
+1
+00:00:03,950 --> 00:00:08,970
+بسم الله الرحمن الرحيم والصلاة والسلام على سيد
+
+2
+00:00:08,970 --> 00:00:15,270
+الخلق أجمعين سيدنا ونبينا محمد الصادق الأمين بداية 
+
+3
+00:00:15,270 --> 00:00:22,310
+نرحب بكم جميعا في هذا المساق وإن شاء الله بيكون 
+
+4
+00:00:22,310 --> 00:00:26,770
+مساق دم خفيف علينا وعليكم بإذن الله في الظروف من 
+
+5
+00:00:26,770 --> 00:00:31,830
+هذه النوعية التي ندعو الله أن لا تطول علينا 
+
+6
+00:00:36,570 --> 00:00:41,130
+مساقنا الذي إن شاء الله بناحكي فيه هو مناعة و
+
+7
+00:00:41,130 --> 00:00:46,670
+المناعة إن شاء الله يبقى .. يعني أنتم أكيد كلكم
+
+8
+00:00:46,670 --> 00:00:52,190
+ماخذين مناعة قبل هيك ف .. هنتطرق إن شاء الله 
+
+9
+00:00:52,190 --> 00:00:56,170
+لمواضيع بنفس المسميات التي مرت عليكم في المناعة
+
+10
+00:00:56,170 --> 00:01:01,910
+السابقة لكن بنوع 
+
+11
+00:01:01,910 --> 00:01:08,920
+من التفصيل أكثر المساق هيكون عبارة عن محاضرات
+
+12
+00:01:08,920 --> 00:01:17,340
+PowerPoint و هقوم إن شاء الله بشرحها بشيء ملخص لأن
+
+13
+00:01:17,340 --> 00:01:21,300
+المحاضرات هتكون طويلة فأنا هعطيكم الـ summary تبع
+
+14
+00:01:21,300 --> 00:01:26,440
+الـ course لأن أصلا بقدرش يعني المدة مدة المحاضرة
+
+15
+00:01:26,440 --> 00:01:33,280
+المصورة عندي محدودة ومطلوب منكم طبعا قراءة هذه
+
+16
+00:01:33,280 --> 00:01:38,330
+المحاضرة وما بين كل محاضرتين تلاتة ممكن نعملنا 
+
+17
+00:01:38,330 --> 00:01:43,970
+لقاء مفتوح نراجع فيه إذا في أي نقطة مش مفهومة أو
+
+18
+00:01:43,970 --> 00:01:53,050
+إذا في سؤال مش مفهوم هذه حاجة الحاجة الثانية إحنا
+
+19
+00:01:53,050 --> 00:01:57,850
+معنا أربع عشرة أسبوع منهم أسبوع أو أسبوعين
+
+20
+00:01:57,850 --> 00:02:03,870
+للامتحان النصفي والـ final بيضل عندنا 12 أسبوع
+
+21
+00:02:03,870 --> 00:02:09,850
+فهيكون عندنا تقريبا 12 محاضرة وبالتالي
+
+22
+00:02:09,850 --> 00:02:13,750
+مش راح نقدر نغطي كل المواضيع المهمة في المناعة
+
+23
+00:02:13,750 --> 00:02:24,550
+فبالتالي هيكون في جزء seminar مطلوب منك أنت كطالب
+
+24
+00:02:24,550 --> 00:02:35,220
+تحضر لنا محاضرة في موضوع لم نتطرق إليه مناعي طبعا أو
+
+25
+00:02:35,220 --> 00:02:42,920
+نقوم بعمل يعني مادة إثرائية اللي هو تجيد أو تضيف 
+
+26
+00:02:42,920 --> 00:02:50,300
+في محاضرة معينة نقاط لم نتطرق إليها من بعد هنتفق
+
+27
+00:02:50,300 --> 00:02:55,520
+إن شاء الله على هذا الموضوع ونوزع لكم هذه العناوين
+
+28
+00:02:55,520 --> 00:03:04,340
+كل على حد ال .. زي ما أنتم عارفين نظام الجامعة حدد
+
+29
+00:03:04,340 --> 00:03:09,700
+أنه هيكون في نصفي ونهائي النصفي بيتكون من عندنا
+
+30
+00:03:09,700 --> 00:03:14,520
+.. هيكون عندي 40 درجة هنقسمهم 
+
+31
+00:03:14,520 --> 00:03:22,540
+إلى عشرين seminar اللي أنا قاعد بحكي عليه وعشرين
+
+32
+00:03:22,540 --> 00:03:26,600
+امتحان نصفي وهيكون فيه ستين درجة على الـ final
+
+33
+00:03:26,600 --> 00:03:33,250
+اللي غالبا هيكون في الجامعة غالبا هيكون في الجامعة
+
+34
+00:03:33,250 --> 00:03:38,990
+فبالتالي الـ course مقسم كالتالي عشرين درجة seminar
+
+35
+00:03:38,990 --> 00:03:43,630
+عشرين درجة نصفي وإن كنت أنا شايفها قليلة شوية و
+
+36
+00:03:43,630 --> 00:03:49,130
+ستين درجة اللي هو النهائي إحنا ممكن نخل الـ نصفي 
+
+37
+00:03:49,130 --> 00:03:53,750
+ثلاثين وعشرين seminar هي خمسين وخمسين نصفي بيكون
+
+38
+00:03:53,750 --> 00:04:01,450
+أفضل من هذه التقسيمة زين يا زينان إن شاء الله خير
+
+39
+00:04:01,450 --> 00:04:07,250
+الآن المحاضرة الأولى زي ما أنتم شايفين نبدأ على
+
+40
+00:04:07,250 --> 00:04:10,410
+بركة الله المحاضرة الأولى زي ما أنتم شايفين هي
+
+41
+00:04:10,410 --> 00:04:15,770
+عبارة عن محاضرة مقدمة وغالبا إحنا في المقدمة بنعمل 
+
+42
+00:04:15,770 --> 00:04:21,750
+refreshing to your memory بنستدعي أو بننشط
+
+43
+00:04:21,750 --> 00:04:26,810
+ذاكرتكم في علم المناعة فهنطرق لبعض المواضع التي
+
+44
+00:04:26,810 --> 00:04:29,210
+أنا بتأكد أنكم تعرفوها واخذتوها سابقا
+
+45
+00:04:33,140 --> 00:04:36,920
+اسم المحاضرة introduction يبقى هنعمل introduction
+
+46
+00:04:36,920 --> 00:04:45,000
+للـ course بيهدي المواضيع طبعا المحاضرة
+
+47
+00:04:45,000 --> 00:04:50,360
+بتبدأ بالـ course outline أنا يعني يديني حتى تنكيها
+
+48
+00:04:50,360 --> 00:04:55,270
+حتى مستقبل ما راح أتطرق إليه بس كم أنتم شايفين كل
+
+49
+00:04:55,270 --> 00:04:59,630
+هذه المواضيع صعب جدا أن أتطرق إليها في مساق من هذا
+
+50
+00:04:59,630 --> 00:05:03,170
+النوع إن شاء الله قدر المستطاع هنغطي الجزء الأكبر
+
+51
+00:05:03,170 --> 00:05:10,690
+جزء الثاني هيكون على شكل سيمينارات الحاجة
+
+52
+00:05:10,690 --> 00:05:12,950
+الثانية التي بدأت فيها المحاضرة التي هي timeline
+
+53
+00:05:12,950 --> 00:05:17,710
+of immunology برضه هذه مش راح أنا أتطرق إليها فده
+
+54
+00:05:17,710 --> 00:05:21,810
+عبارة عن history of immunology شو التطورات التي مرت
+
+55
+00:05:21,810 --> 00:05:30,090
+فيها مادة المناعة وبتواريخها ماشي برضه فقط للعلم
+
+56
+00:05:30,090 --> 00:05:37,730
+عشان إيش نعرف إحنا لوين واصلين من ناحية عالمية
+
+57
+00:05:37,730 --> 00:05:44,010
+غالبا إن شاء الله بنكون بنعطيكم مادة يعني up to
+
+58
+00:05:44,010 --> 00:05:48,910
+date information في المناعة
+
+59
+00:05:51,020 --> 00:05:56,160
+ال .. التي 
+
+60
+00:05:56,160 --> 00:06:00,820
+إن شاء الله هيحنبدأ فيه هو الـ introduction والـ
+
+61
+00:06:00,820 --> 00:06:05,180
+introduction بداية هنذكر مع بعض شوية مصطلحات مناعية
+
+62
+00:06:05,180 --> 00:06:08,680
+نبدأ بواحد الـ immunology ما هو الـ immunology
+
+63
+00:06:08,680 --> 00:06:12,700
+immunology يعني علم علم المناعة هو عبارة عن دراسة
+
+64
+00:06:12,700 --> 00:06:20,250
+الذي هو كل خطوط الدفاع المناعية التي موجودة في الجسم
+
+65
+00:06:20,250 --> 00:06:26,710
+عادية للإنفجار دراسة الـ immunity هي قدرتك to
+
+66
+00:06:26,710 --> 00:06:33,050
+resist the disease الـ immune system هو ببساطة مجموعة 
+
+67
+00:06:33,050 --> 00:06:39,370
+الأدوات سواء كانت خلايا or tissue or molecules
+
+68
+00:06:39,370 --> 00:06:47,860
+التي موجودة وبنسخرها to resist the disease الـ
+
+69
+00:06:47,860 --> 00:06:52,000
+immune response هو عبارة عن coordinate work يعني
+
+70
+00:06:52,000 --> 00:06:58,100
+عمل مشترك of the immune response against foreign
+
+71
+00:06:58,100 --> 00:07:03,540
+substance عبارة عن طوشة عبارة عن معركة موجودة ما
+
+72
+00:07:03,540 --> 00:07:07,680
+بين الأدوات المناعية التي أنت تحصل التي عندك وما
+
+73
+00:07:07,680 --> 00:07:11,600
+بين الـ foreign substance التي دخلت على الجسم الـ
+
+74
+00:07:11,600 --> 00:07:16,480
+Immunity مصطلح آخر يعني الـ native or natural
+
+75
+00:07:16,480 --> 00:07:20,120
+immunity المناعة الطبيعية التي موجودة عندك الـ
+
+76
+00:07:20,120 --> 00:07:27,060
+adaptive هو المناعة المكتسبة ومثلا 
+
+77
+00:07:27,060 --> 00:07:33,300
+عليها adaptation to infection الـ antigen هو أي
+
+78
+00:07:33,300 --> 00:07:37,300
+مادة غريبة عندها القدرة دخلة الجسم وعندها القدرة
+
+79
+00:07:37,300 --> 00:07:41,330
+أنها ترتبط بـ antibody ممكن الـ antigen يكون ميكروب، 
+
+80
+00:07:41,330 --> 00:07:42,030
+مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد
+
+81
+00:07:42,030 --> 00:07:42,830
+مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد
+
+82
+00:07:42,830 --> 00:07:46,170
+مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد
+
+83
+00:07:46,170 --> 00:07:51,030
+مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد
+
+84
+00:07:51,030 --> 00:07:51,090
+مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد
+
+85
+00:07:51,090 --> 00:08:01,410
+مجرد مجرد
+
+86
+00:08:01,410 --> 00:08:08,070
+مجرد
+
+87
+00:08:10,420 --> 00:08:16,920
+الـ Antigen Presentation هي عملية تحضير وتقديم للـ
+
+88
+00:08:16,920 --> 00:08:22,720
+Antigen من خلال تقطيعه إلى Peptide Fragments
+
+89
+00:08:22,720 --> 00:08:27,280
+موجودة على سطح خلية سنسميها Antigen Presenting
+
+90
+00:08:27,280 --> 00:08:35,080
+Cell التي تقدم الـ Antigen للخلايا المناعية عبارة
+
+91
+00:08:35,080 --> 00:08:38,120
+عن مادة ممكن تكون كيلو بكتيريا or bacterial
+
+92
+00:08:38,120 --> 00:08:45,220
+extracts بنسخرها للمساعدة كـ non immunogenic agent
+
+93
+00:08:45,220 --> 00:08:52,800
+or antigen لتحفيز الـ immune response ناشي immunity
+
+94
+00:08:53,860 --> 00:08:58,340
+زي ما اتفقنا هو برنامج term derived يعني الاسم
+
+95
+00:08:58,340 --> 00:09:03,460
+تاريخ الاسم من وين جاي جاي من الحصانة الدبلوماسية
+
+96
+00:09:03,460 --> 00:09:10,080
+التي كانت تُعطى للـ senators زمان في يما الرومان
+
+97
+00:09:10,080 --> 00:09:16,640
+ضد أي مساءلة قانونية ويعرفوها بأن هي كل
+
+98
+00:09:16,640 --> 00:09:22,120
+الميكانيزمات التي مرت عليها التي بتستخدم من قبل الجسم
+
+99
+00:09:23,680 --> 00:09:28,700
+لحمايته against environmental agents or foreign
+
+100
+00:09:28,700 --> 00:09:36,140
+substance وزي ما أنتم شايفين الصور بتعبر 
+
+101
+00:09:36,140 --> 00:09:41,880
+عن الـ foreign substance المختلفة طبعا ممكن تكون
+
+102
+00:09:41,880 --> 00:09:45,220
+food, chemicals, drugs, pollen, animal hair or
+
+103
+00:09:45,220 --> 00:09:50,820
+dander you name it تقسم المناعة لنوعين الـ innate والـ
+
+104
+00:09:50,820 --> 00:09:55,460
+acquired والـ innate هذه خصائصها ولأكمل الـ exam
+
+105
+00:09:55,460 --> 00:10:04,580
+فهذه خصائصها طبعا لأن it is not specific it is
+
+106
+00:10:04,580 --> 00:10:13,840
+limited لإنه genetically encoded and there is no
+
+107
+00:10:13,840 --> 00:10:20,440
+memory ولا reactivity to self ماشي 
+
+108
+00:10:23,500 --> 00:10:27,860
+يعني non-reactive بينما الـ adaptive هي عبارة عن 
+
+109
+00:10:27,860 --> 00:10:34,240
+specific و very large receptors that are produced
+
+110
+00:10:34,240 --> 00:10:42,500
+by somatic recombination في memory وفي أيضا
+
+111
+00:10:42,500 --> 00:10:48,800
+discrimination للـ self-antigen المكونات على الطرق
+
+112
+00:10:48,800 --> 00:10:52,380
+ديها إن شاء الله كل على حد سواء كانت cellular or
+
+113
+00:10:52,380 --> 00:10:55,460
+blood protein or cells تبع الـ innate والـ
+
+114
+00:10:55,460 --> 00:10:59,700
+adaptive ودي صورة بتوضح أن الـ آتي بتوضح أن الـ
+
+115
+00:10:59,700 --> 00:11:04,360
+innate cells ده هي النيوترونات وساعي، dendritic cells،
+
+116
+00:11:04,360 --> 00:11:09,000
+angiocelcus وبعض الـ elements زي الـ antibody والـ
+
+117
+00:11:09,000 --> 00:11:12,860
+.. والـ .. والـ .. sorry يعني complement وليس
+
+118
+00:11:12,860 --> 00:11:18,460
+antibody ماشي ثم الـ adaptive والتي تتمثل بالـ B والـ T
+
+119
+00:11:18,460 --> 00:11:23,300
+lymphocyte B وT lymphocyte وأنا طبعا الـ kinetics
+
+120
+00:11:23,300 --> 00:11:27,320
+زي ما أنتم شايفين أول ما بده يدافع خط الدفاع
+
+121
+00:11:27,320 --> 00:11:35,560
+الأول هو الـ innate في أول اثنا عشر ساعة ثم بتبدأ الـ
+
+122
+00:11:35,560 --> 00:11:39,920
+adaptive إذا فشلت طبعا بالـ innate تبدأ الـ adaptive
+
+123
+00:11:39,920 --> 00:11:48,140
+من يوم لغاية سبعة أيام بتحضير أو بتوشة تبعها وإما
+
+124
+00:11:48,140 --> 00:11:51,860
+بتخلص الـ antigen وإما بتستمر هي الـ immunity
+
+125
+00:11:51,860 --> 00:11:56,020
+بأنواعها المختلفة مقسموها إلى ثلاث أنواع التي 
+
+126
+00:11:56,020 --> 00:11:59,020
+اتحاكوا بيها بس الـ immunity ده إذا ما تشوفون
+
+127
+00:11:59,020 --> 00:12:00,680
+adaptive immunity و innate immunity
+
+128
+00:12:08,210 --> 00:12:14,810
+naturally في الجسم الـ adaptive قسموها إلى نوعين و
+
+129
+00:12:14,810 --> 00:12:18,470
+جالو منها natural وهذا ممكن يكون passive من الأم
+
+130
+00:12:18,470 --> 00:12:23,070
+للطفل or active إذا واحد صاب بالـ infection و ال
+
+131
+00:12:23,070 --> 00:12:26,770
+artificial أيضًا ممكن تكون passive إن أنا أنقل
+
+132
+00:12:26,770 --> 00:12:34,380
+antibody أو during by using immunization في نوع
+
+133
+00:12:34,380 --> 00:12:38,180
+ثالث اللي هو الـ adoptive الـ adoptives هو عبارة عن
+
+134
+00:12:38,180 --> 00:12:41,600
+نقل passive برضه بس بأنقل بدل من أنقل antibody
+
+135
+00:12:41,600 --> 00:12:47,600
+بأنقل خلايا بأنقلياش خلايا cells involved in
+
+136
+00:12:47,600 --> 00:12:53,320
+acquired immunity فلنشوف طبعًا اتفقنا إن هي عبارة
+
+137
+00:12:53,320 --> 00:12:59,260
+عن lymphocytes وهي عبارة عن T cell و B cell و
+
+138
+00:12:59,260 --> 00:13:06,140
+الاثنين عندهم R specific for the antigen ووظيفتها
+
+139
+00:13:06,140 --> 00:13:10,880
+الأساسية is to recognize and react ماشي against
+
+140
+00:13:10,880 --> 00:13:15,440
+the antigen نوع الثالث اللي هو Antigen Presenting
+
+141
+00:13:15,440 --> 00:13:21,360
+Cell وهي عبارة عن خلايا بتحمل على سطحها بروتينات
+
+142
+00:13:21,360 --> 00:13:29,220
+ترتبط بالـ antigen و بتقدمولها الـ T lymphocyte من
+
+143
+00:13:29,220 --> 00:13:34,550
+اسمها Antigen Presenting Cell ووجدوا أن الـ protein
+
+144
+00:13:34,550 --> 00:13:41,330
+اللي على سطحها نوعين هنتطرق إليهم إن شاء الله هو
+
+145
+00:13:41,330 --> 00:13:48,510
+الـ MHC molecule و هنتطرق إليه إن شاء الله قدامه بس
+
+146
+00:13:48,510 --> 00:13:53,270
+خلينا نتذكركم بالـ classes of lymphocytes طبعًا في
+
+147
+00:13:53,270 --> 00:13:55,450
+إنها أكثر من نوع من الـ lymphocyte في أنها B
+
+148
+00:13:55,450 --> 00:14:00,530
+lymphocyte وظيفتها الأساسية is to fight against
+
+149
+00:14:00,530 --> 00:14:07,730
+micro و بيصير في external micro فبيصير في antigen
+
+150
+00:14:07,730 --> 00:14:11,230
+و antimode reaction و بيصير في neutralization و
+
+151
+00:14:11,230 --> 00:14:17,590
+phagocyte و كذا الـ T cell في عندنا T helper cell
+
+152
+00:14:17,590 --> 00:14:21,590
+وظيفتها is to release the cytokine بعد ما يتعرض للـ
+
+153
+00:14:21,590 --> 00:14:27,620
+antigen وهي طبعًا هي بتوزع المهام إلى أكثر من نوع
+
+154
+00:14:27,620 --> 00:14:32,100
+من الخلايا ممكن تنشر بيه ممكن تنشر T-cell T
+
+155
+00:14:32,100 --> 00:14:36,720
+-cytotoxic cell الـ cytotoxic T-lymphocyte عندها
+
+156
+00:14:36,720 --> 00:14:39,600
+القدرة على قتل الميكروب أو الخلية المصابة
+
+157
+00:14:39,600 --> 00:14:47,220
+بالميكروب by direct killing ثاني هو T-ring أو
+
+158
+00:14:47,220 --> 00:14:51,280
+regulatory T-lymphocytes هذه بتعمل control of the
+
+159
+00:14:51,280 --> 00:14:53,580
+immune response by suppression of the immune
+
+160
+00:14:53,580 --> 00:14:59,110
+response وفيها خلية أخرى وهي الـ NK cell وهذه طبعًا
+
+161
+00:14:59,110 --> 00:15:04,350
+عندها القدرة أن تعمل قتل مباشر لمن؟ للخلية المصابة
+
+162
+00:15:04,350 --> 00:15:10,050
+بالـ myocardite وهذه الـ info site classes من مرجع
+
+163
+00:15:10,050 --> 00:15:16,150
+آخر زي ما قلت لكم في two proteins موجودة على الـ
+
+164
+00:15:16,150 --> 00:15:19,390
+antigen presenting cell وكل خلية الجسم تعمل على
+
+165
+00:15:19,390 --> 00:15:23,410
+antigen presenting cell سمينا البروتينة دا major
+
+166
+00:15:23,410 --> 00:15:26,070
+histocompatibility complex وفي من النوعين واحد
+
+167
+00:15:26,070 --> 00:15:29,930
+واثنين class 1 و class 2 وزي ما أنتم شايفين من
+
+168
+00:15:29,930 --> 00:15:32,850
+الصورة الفرق الوحيد إنه في class واحد في one
+
+169
+00:15:32,850 --> 00:15:37,850
+binding site بينما في class اثنين في two chain أو
+
+170
+00:15:37,850 --> 00:15:40,270
+polyp ابتعاد
+
+171
+00:15:47,140 --> 00:15:53,180
+الـ Hemoral تتمثل بالـ B lymphocyte function وكلنا
+
+172
+00:15:53,180 --> 00:15:55,680
+بنعرف أن الـ B lymphocyte بتطلع لنا antibody فالـ
+
+173
+00:15:55,680 --> 00:15:59,860
+antibody هو عبارة عن الـ hemoral part of immunity
+
+174
+00:15:59,860 --> 00:16:03,080
+أو acquired immunity بينما الـ cell-mediated
+
+175
+00:16:03,080 --> 00:16:06,620
+immunity هي عبارة عن الـ من Cellular هذا يعني
+
+176
+00:16:06,620 --> 00:16:09,680
+Cellular Cell-mediated يعني خلايا بدون اللي بتقوم
+
+177
+00:16:09,680 --> 00:16:13,660
+فيها الـ T-Lymphocyte مش الـ B و الـ T زي ما اتفقنا
+
+178
+00:16:13,660 --> 00:16:16,500
+في عندنا أكثر من نوع من الـ T-Lymphocyte في T
+
+179
+00:16:16,500 --> 00:16:19,880
+-Helpercell في T-Cytotoxic cell T-Helpercell هي
+
+180
+00:16:19,880 --> 00:16:26,080
+اللي بتمشط أيضًا T-Cytotoxic وغيرها من الخلايا وهي
+
+181
+00:16:26,080 --> 00:16:29,820
+الـ lymphocyte زي ما اتفقنا في عندنا أكثر من نوع في
+
+182
+00:16:29,820 --> 00:16:36,200
+عندنا خلايا مختلفة كل خلية على سطحها receptor
+
+183
+00:16:36,200 --> 00:16:40,860
+specific only for one antigen عشان يك كل خلية
+
+184
+00:16:40,860 --> 00:16:45,220
+بتشتغل specific specificity أو specific for the
+
+185
+00:16:45,220 --> 00:16:50,860
+antigen من هذا المنطلق احنا سمينا الاقناع هذه هي
+
+186
+00:16:50,860 --> 00:16:53,240
+عبارة عن أداء acquired immunity أو adaptive
+
+187
+00:16:53,240 --> 00:16:58,640
+immunity وهي specific immunity باكتشاف الـ lymphocyte
+
+188
+00:16:58,640 --> 00:17:03,850
+كنا بنعرف إن الـ lymphocyte بتنتج في الـ bone marrow وهي
+
+189
+00:17:03,850 --> 00:17:08,730
+عبارة عن B و T لكن الـ B بتضل موجودة في الـ bone marrow
+
+190
+00:17:08,730 --> 00:17:12,530
+وده يوم بتنتقل في الـ .. من .. في الـ bone marrow يعني
+
+191
+00:17:12,530 --> 00:17:16,410
+بتنضج بتنتقل من الـ immature form إلى الـ mature
+
+192
+00:17:16,410 --> 00:17:21,170
+form بعدين بتطلع الـ blood circulation وأيضًا بتروح
+
+193
+00:17:21,170 --> 00:17:24,810
+على الـ secondary lymphoid organs بينما الـ T
+
+194
+00:17:24,810 --> 00:17:28,270
+lymphocyte في مرحلة مبكرة جدًا بتروح على الـ thymus و
+
+195
+00:17:28,270 --> 00:17:32,290
+هناك بتنضج وبعدين بتطلع الـ circulation وبرضه
+
+196
+00:17:32,290 --> 00:17:35,290
+بتروح على الـ secondary lymphoid organs لأنه
+
+197
+00:17:35,290 --> 00:17:38,790
+المعركة الحقيقية بتتم في الـ secondary lymphoid
+
+198
+00:17:38,790 --> 00:17:43,690
+organ فده المراحل المختلفة اللي بتمر فيها الـ B-
+
+199
+00:17:43,690 --> 00:17:48,570
+lymphocytes أي من stem cell لـ pro-B ثم pre-B ثم
+
+200
+00:17:48,570 --> 00:17:54,650
+إلى mature و mature والكلام هذا طبعًا بيصير في الـ
+
+201
+00:17:54,650 --> 00:17:58,090
+bone marrow اللي هو الـ primary الـ lymphoid organs
+
+202
+00:17:58,090 --> 00:18:04,110
+وطبعًا الـ maturation للـ بيه بيتم أيضًا في الـ
+
+203
+00:18:04,110 --> 00:18:08,010
+peripheral blood circulation لإنه لما تتمشي تلبي
+
+204
+00:18:08,010 --> 00:18:12,170
+الـ lymphocyte ممكن تتحول إلى plasmacy Clonal
+
+205
+00:18:12,170 --> 00:18:16,950
+selection theory هي النظرية الحديثة اللي بتقول إن
+
+206
+00:18:16,950 --> 00:18:19,650
+كل الـ stems اللي هي أم الخلايا كلها
+
+207
+00:18:22,370 --> 00:18:27,430
+بتمر في مراحل طبعًا مختلفة لندوج هذه الخلايا أول زي
+
+208
+00:18:27,430 --> 00:18:30,090
+ما أنتم شايفين ما أنتم شايفين المرحلة هي عبارة
+
+209
+00:18:30,090 --> 00:18:33,710
+عن uncommented cell ثم في الـ .. برضه في الـ bone
+
+210
+00:18:33,710 --> 00:18:38,950
+marrow أو في الـ thymus هذه الخلايا يصير في removal
+
+211
+00:18:38,950 --> 00:18:45,230
+للـ self reacted cell مرحلة أخرى ثم بتنتج عندي
+
+212
+00:18:45,230 --> 00:18:49,750
+خلايا جاهزة لا تتفاعل مع الـ self-antigen عندها
+
+213
+00:18:49,750 --> 00:18:53,810
+القدرة إنها تميز ما بين الـ self و الـ non-self
+
+214
+00:18:53,810 --> 00:18:57,370
+antigen و زي ما أنتم شايفين هي على سطحها receptor
+
+215
+00:18:57,370 --> 00:19:03,940
+موجود مختلف باختلاف الخلية هذه بيسموها clone of
+
+216
+00:19:03,940 --> 00:19:10,240
+selection theory إن الخلية الواحدة ممكن تديني
+
+217
+00:19:10,240 --> 00:19:14,820
+clone of cell of the same cell ماشي طبعًا هذه
+
+218
+00:19:14,820 --> 00:19:20,020
+الخلية اللي هتديني B cell و T cell sorry و الـ B
+
+219
+00:19:20,020 --> 00:19:23,140
+cell على سطحها الـ receptor وفيها إن هي millions of
+
+220
+00:19:23,140 --> 00:19:27,560
+B lymphocyte و و و و الـ T cell هتدينا برضه على
+
+221
+00:19:27,560 --> 00:19:33,480
+سطحها receptor وعنا billions of different TCR أو T
+
+222
+00:19:33,480 --> 00:19:40,620
+cell receptor وبالتالي في عندنا diversity of cells
+
+223
+00:19:40,620 --> 00:19:45,040
+Anatomy of lymphocyte activation ببساطة هي الـ B
+
+224
+00:19:45,040 --> 00:19:48,760
+lymphocyte و T lymphocyte طلعوا من وين؟ طلعوا من الـ
+
+225
+00:19:48,760 --> 00:19:50,920
+bone marrow و الـ thymus هي bone marrow و الـ thymus
+
+226
+00:19:50,920 --> 00:19:54,390
+ماشي قولنا راحوا على الـ blood circulation و هناك
+
+227
+00:19:54,390 --> 00:19:57,290
+بيروحوا على الـ secondary lymphoid organs هذا هي
+
+228
+00:19:57,290 --> 00:20:00,930
+طبعًا
+
+229
+00:20:00,930 --> 00:20:03,550
+الـ secondary lymphoid organs إذا واجهوا الـ antigen
+
+230
+00:20:03,550 --> 00:20:08,310
+بيصير المعركة immune response ما واجهوش antigen they
+
+231
+00:20:08,310 --> 00:20:11,630
+will die طب كيف بيخشوا الـ antigen كانوا بيخشوا الـ
+
+232
+00:20:11,630 --> 00:20:16,570
+antigen خلال عدة طرق أهمها through the blood ماشي
+
+233
+00:20:16,570 --> 00:20:19,610
+هذا هو الـ blood بيروح على الـ spleen و الـ spleen هذا
+
+234
+00:20:19,610 --> 00:20:23,610
+و خلال الـ secondary lymphoid organs أو through the
+
+235
+00:20:23,610 --> 00:20:28,210
+lymph duct هو اللي من خلال الـ lymph وهو بيخش على
+
+236
+00:20:28,210 --> 00:20:32,330
+الـ lymph nodes وهناك برضه بيصير فيه immune
+
+237
+00:20:32,330 --> 00:20:36,510
+response طبعًا محصلة هذا الكلام بقى جامعة الخير إنه
+
+238
+00:20:36,510 --> 00:20:39,970
+بيطلع لي Factor T lymphocyte immune competent
+
+239
+00:20:39,970 --> 00:20:46,810
+lymphocytes اللي ممكن اكتف وممارس اكتف cell وممارس
+
+240
+00:20:46,810 --> 00:20:55,070
+cell اداء الـ function of T lymphocyte substance طبعًا
+
+241
+00:20:55,070 --> 00:21:01,590
+أول وظيفة إنه يريليز cytokine والحاجة الثانية
+
+242
+00:21:01,590 --> 00:21:05,230
+بتلعب دور كبير طبعًا الـ cytokine أو الـ lymphocyte
+
+243
+00:21:05,230 --> 00:21:14,830
+هذه بتنشط الـ B lymphocytes و نمر اثنين ممكن ممكن
+
+244
+00:21:14,830 --> 00:21:15,430
+إيش اسمه
+
+245
+00:21:19,780 --> 00:21:26,020
+ممكن تطلع cytokine اللي بتنشط لـ macrophage يبقى
+
+246
+00:21:26,020 --> 00:21:29,380
+أول واحدة مشتطة بالـ lymphocyte طلعت لي antibody ثاني
+
+247
+00:21:29,380 --> 00:21:33,580
+حاجة طلعت لي cytokine عملت تنشيط لـ macrophage
+
+248
+00:21:33,580 --> 00:21:36,480
+و macrophage بتعمل حاجة بيسموها delayed type
+
+249
+00:21:36,480 --> 00:21:44,300
+hypersensitivity ناشي إيش
+
+250
+00:21:44,300 --> 00:21:50,660
+الثالث Cytotoxic effect برضه برضه by reactivation 
+
+251
+00:21:50,660 --> 00:21:54,880
+of CD8 T-cytotoxic lymphocyte اللي عندها القدرة
+
+252
+00:21:54,880 --> 00:21:59,420
+على قتل اللي هو الخلايا و 4 Regulatory T cells اللي
+
+253
+00:21:59,420 --> 00:22:02,480
+هو عندها القدرة أنها تعمل طبعا في عندها different
+
+254
+00:22:02,480 --> 00:22:06,120
+functional subset of T cell اللي ممكن تعمل
+
+255
+00:22:06,120 --> 00:22:08,680
+regulation لل immune response و في عندنا أنواع
+
+256
+00:22:08,680 --> 00:22:11,480
+مختلفة زي T helper واحدة و تانية و واحدة متناشرة
+
+257
+00:22:15,650 --> 00:22:19,070
+وبتعمل suppression للتانية وبالتالي في بعض الأحيان
+
+258
+00:22:19,070 --> 00:22:22,570
+بيقولوا أنها نوع واحد من ال T cell أو T helper cells
+
+259
+00:22:22,570 --> 00:22:26,890
+ناشئة في نوع تالت أو Treg بيسموه هو أيضا عبارة
+
+260
+00:22:26,890 --> 00:22:31,770
+عن suppressor T lymphocytes على سطحها هي CD4 لكن
+
+261
+00:22:31,770 --> 00:22:37,650
+تتميز بوجود CD25 على سطحها أيضا موجودة
+
+262
+00:22:40,850 --> 00:22:43,610
+الـ cytokine effect طبعا ال cytokine بلعب دور كثير
+
+263
+00:22:43,610 --> 00:22:47,490
+جدا في عملية تنشيط الخلايا و كنا بنعرف عشان تنشط
+
+264
+00:22:47,490 --> 00:22:51,870
+الخلايا لازم تمر به لازم تحتاج ل two signals و
+
+265
+00:22:51,870 --> 00:22:55,610
+الأساس في ال two signals هو ال cytokine أول signal
+
+266
+00:22:55,610 --> 00:22:59,030
+هي عبارة عن ارتباط TCR من الانتيجن و التاني signal
+
+267
+00:22:59,030 --> 00:23:03,130
+اللي من خلال وجود ال cytokine بيصير فيه حاجة اسمها
+
+268
+00:23:03,130 --> 00:23:06,850
+co-stimulatory reaction وال co-stimulation بيتمثل
+
+269
+00:23:06,850 --> 00:23:12,530
+بارتباط CD40 مع CD86 في وجود IL-1 و IL-4 و IL-6 
+
+270
+00:23:12,530 --> 00:23:16,690
+متى ما صار هذا الارتباط بهذه القوة بيصير فيه تنشيط
+
+271
+00:23:16,690 --> 00:23:20,330
+للخلايا وبالتالي بيصير فيه release of certain
+
+272
+00:23:20,330 --> 00:23:24,270
+cytokine sorry بيصير فيه activation of certain
+
+273
+00:23:24,270 --> 00:23:29,130
+cell من الخلية النشطة generation of diversity in
+
+274
+00:23:29,130 --> 00:23:36,060
+the immune response طبعا الجينات هي المسؤولة عن
+
+275
+00:23:36,060 --> 00:23:40,960
+ال diversity جينات
+
+276
+00:23:40,960 --> 00:23:46,900
+مختلفة لأنه تخيلوا احنا في عندنا B lymphocyte وكل
+
+277
+00:23:46,900 --> 00:23:55,000
+B lymphocyte على سطحها 10 قوة 7 من ال .. من
+
+278
+00:23:55,000 --> 00:23:56,940
+ال .. من ال receptors
+
+279
+00:23:59,940 --> 00:24:04,360
+وفي عندنا عددها مهول من الـ B-Lymphocyte وعدد مهول
+
+280
+00:24:04,360 --> 00:24:07,220
+من الـ T-Lymphocyte وقولنا كل واحدة منهم specific
+
+281
+00:24:07,220 --> 00:24:11,980
+only for one antigen وبالتالي الـ TCR على سطحها و
+
+282
+00:24:11,980 --> 00:24:16,980
+TCR على سطحهم بيختلفون كل منهم specific for only
+
+283
+00:24:16,980 --> 00:24:20,780
+one antigen طيب، بما أن هذه البروتينات المسؤولة
+
+284
+00:24:20,780 --> 00:24:25,840
+عنها جينات يبقى و بما أنهم مختلفين يبقى المفروض في
+
+285
+00:24:25,840 --> 00:24:29,540
+عندنا عدد مهول جدا من الجينات إذا عرفنا إن عدد الـ
+
+286
+00:24:29,540 --> 00:24:34,000
+B-Lymphocyte من قواصة لـ 10 لقوة 7 و 10 و T
+
+287
+00:24:34,000 --> 00:24:38,500
+-Lymphocyte كذلك، ننتظر at least 10 للقوة 7 جين
+
+288
+00:24:38,500 --> 00:24:41,920
+يكونوا مسؤولين عن تصنيع هذه الخلايا، لكن مش هذا
+
+289
+00:24:41,920 --> 00:24:45,040
+اللي بيصير، طب شو اللي بيصير؟  بيصير فيه
+
+290
+00:24:45,040 --> 00:24:49,140
+Recombination between genes، وبالتالي بيصير فينا
+
+291
+00:24:49,140 --> 00:24:52,660
+modest amount of DNA، كمية صغيرة من الـ DNA،
+
+292
+00:24:52,660 --> 00:24:58,050
+لكنها مرتبطة مع بعض، ومتعاونة مع بعض عشان تكون
+
+293
+00:24:58,050 --> 00:25:04,990
+ليه different types of PCR و TCR benefit of
+
+294
+00:25:04,990 --> 00:25:09,550
+immunology كثير استفدنا منها منها ال vaccination
+
+295
+00:25:09,550 --> 00:25:14,110
+programs زي البوليو و small pox و غيرها و
+
+296
+00:25:14,110 --> 00:25:18,970
+transplantation ثم detection of and management of
+
+297
+00:25:18,970 --> 00:25:23,740
+cancer tumor immunology the prevention and recovery
+
+298
+00:25:23,740 --> 00:25:30,660
+from infectious diseases طبعا إن إن الـ inflammatory
+
+299
+00:25:30,660 --> 00:25:36,840
+response usually protects the host recent advances
+
+300
+00:25:36,840 --> 00:25:40,260
+hold the promise of immunoprophylaxis against
+
+301
+00:25:40,260 --> 00:25:45,980
+malaria and other نخلص منها طبعا vaccination of
+
+302
+00:25:45,980 --> 00:25:53,380
+domestic animals عشان ما تكونش مصدر للعدوى ثم long
+
+303
+00:25:53,380 --> 00:25:57,620
+term contraception by vaccination اللي بتعمل عملية
+
+304
+00:25:57,620 --> 00:26:03,080
+تعقيم بواسطة certain vaccines اللي بتعمل
+
+305
+00:26:03,080 --> 00:26:07,280
+suppression for certain reproductive processes
+
+306
+00:26:07,280 --> 00:26:15,320
+future early future يعني بيفكروا إنهم يدرسوا
+
+307
+00:26:15,320 --> 00:26:20,180
+استخدام ال pathogen specific proteins من خلال ال DNA
+
+308
+00:26:20,180 --> 00:26:24,840
+sequencing من خلال ال bioinformatics
+
+309
+00:26:24,840 --> 00:26:30,280
+ممكن يحددوا اللي هو ال immunogenic peptides و
+
+310
+00:26:30,280 --> 00:26:37,180
+يستخدموها ك vaccine DNA vaccine by injection of
+
+311
+00:26:37,180 --> 00:26:44,340
+DNA vector that encode immunization استخدام أو
+
+312
+00:26:44,340 --> 00:26:49,830
+تصميم certain cytokines اللي ممكن إما تحفظه إما تحبط
+
+313
+00:26:49,830 --> 00:26:57,910
+ثم ايضا استخدام ال knockout process أو knockout
+
+314
+00:26:57,910 --> 00:27:02,670
+cells أو knockout animals عشان نتعرف على وظيفة
+
+315
+00:27:02,670 --> 00:27:11,150
+certain traits سواء كان موجود أو غائب في animal و
+
+316
+00:27:11,150 --> 00:27:14,830
+ألف شكريات لكم والعافية
diff --git a/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/zGPx39SDnxE_raw.json b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/zGPx39SDnxE_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..72779a9dcbd9ad559c14809e742feb5dd2ff7c2a
--- /dev/null
+++ b/PL9fwy3NUQKwYQ8nzyth9nyErvTJtUFKlo/zGPx39SDnxE_raw.json
@@ -0,0 +1 @@
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"probability": 0.97216796875}, {"start": 755.3, "end": 755.56, "word": " ال", "probability": 0.89990234375}, {"start": 755.56, "end": 756.3, "word": " adoptive", "probability": 0.65234375}, {"start": 756.3, "end": 756.98, "word": " ال", "probability": 0.5068359375}, {"start": 756.98, "end": 757.54, "word": " adoptives", "probability": 0.778564453125}, {"start": 757.54, "end": 757.74, "word": " هو", "probability": 0.84326171875}, {"start": 757.74, "end": 758.0, "word": " عبارة", "probability": 0.985107421875}, {"start": 758.0, "end": 758.18, "word": " عن", "probability": 0.99609375}, {"start": 758.18, "end": 758.62, "word": " نقل", "probability": 0.9905598958333334}, {"start": 758.62, "end": 759.08, "word": " passive", "probability": 0.8876953125}, {"start": 759.08, "end": 759.5, "word": " برضه", "probability": 0.9716796875}, {"start": 759.5, "end": 760.16, "word": " بس", "probability": 0.972900390625}, {"start": 760.16, "end": 760.64, "word": " بانقل", "probability": 0.67218017578125}, 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776.24, "word": " عن", "probability": 0.9853515625}, {"start": 776.24, "end": 776.5, "word": " T", "probability": 0.76416015625}, {"start": 776.5, "end": 776.96, "word": " cell", "probability": 0.83056640625}, {"start": 776.96, "end": 777.72, "word": " و", "probability": 0.98486328125}, {"start": 777.72, "end": 777.88, "word": " B", "probability": 0.689453125}, {"start": 777.88, "end": 778.36, "word": " cell", "probability": 0.93994140625}, {"start": 778.36, "end": 779.26, "word": " و", "probability": 0.71484375}, {"start": 779.26, "end": 780.08, "word": " التنتين", "probability": 0.92822265625}, {"start": 780.08, "end": 781.42, "word": " عندهم", "probability": 0.8955078125}, {"start": 781.42, "end": 781.64, "word": " R", "probability": 0.65087890625}, {"start": 781.64, "end": 782.2, "word": " specific", "probability": 0.9599609375}, {"start": 782.2, "end": 782.64, "word": " for", "probability": 0.94091796875}, {"start": 782.64, "end": 782.94, "word": " the", "probability": 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817.89, "end": 819.49, "word": " هنتطرق", "probability": 0.7318359375}, {"start": 819.49, "end": 819.83, "word": " إليهم", "probability": 0.7236328125}, {"start": 819.83, "end": 820.03, "word": " إن", "probability": 0.73388671875}, {"start": 820.03, "end": 820.21, "word": " شاء", "probability": 0.968017578125}, {"start": 820.21, "end": 820.39, "word": " الله", "probability": 0.9580078125}, {"start": 820.39, "end": 821.33, "word": " هو", "probability": 0.6533203125}, {"start": 821.33, "end": 822.49, "word": " ال", "probability": 0.9384765625}, {"start": 822.49, "end": 823.21, "word": " MHC", "probability": 0.81884765625}, {"start": 823.21, "end": 823.91, "word": " molecule", "probability": 0.6953125}, {"start": 823.91, "end": 825.73, "word": " و", "probability": 0.81298828125}, {"start": 825.73, "end": 826.85, "word": " هنتطرق", "probability": 0.93486328125}, {"start": 826.85, "end": 827.15, "word": " إليه", "probability": 0.974609375}, {"start": 827.15, "end": 827.27, "word": " إن", 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"probability": 0.701171875}, {"start": 833.27, "end": 833.55, "word": " أنها", "probability": 0.753173828125}, {"start": 833.55, "end": 833.87, "word": " أكتر", "probability": 0.97216796875}, {"start": 833.87, "end": 834.01, "word": " من", "probability": 0.98828125}, {"start": 834.01, "end": 834.19, "word": " نوع", "probability": 0.9677734375}, {"start": 834.19, "end": 834.35, "word": " من", "probability": 0.9892578125}, {"start": 834.35, "end": 834.41, "word": " ال", "probability": 0.84814453125}, {"start": 834.41, "end": 834.97, "word": " lymphocyte", "probability": 0.7911783854166666}, {"start": 834.97, "end": 835.07, "word": " في", "probability": 0.51611328125}, {"start": 835.07, "end": 835.27, "word": " أنها", "probability": 0.97412109375}, {"start": 835.27, "end": 835.45, "word": " B", "probability": 0.6796875}, {"start": 835.45, "end": 836.21, "word": " lymphocyte", "probability": 0.8883463541666666}], "temperature": 1.0}, {"id": 31, "seek": 86591, "start": 836.53, "end": 865.91, "text": "وظيفتها الأساسية is to fight against micro و بيصير في external micro فبيصير في antigen و antimode reaction و بيصير في neutralization و phagocyte و كذا ال T cell في عندنا T helper cell وظيفتها is to release the cytokine بعد ما يتعرض لل antigen و هي طبعا هي بتوزع المهام", "tokens": [2407, 19913, 33911, 2655, 11296, 16247, 3794, 32277, 10632, 307, 281, 2092, 1970, 4532, 4032, 4724, 1829, 9381, 13546, 8978, 8320, 4532, 6156, 3555, 1829, 9381, 13546, 8978, 2511, 3213, 4032, 46141, 1429, 5480, 4032, 4724, 1829, 9381, 13546, 8978, 10598, 2144, 4032, 903, 559, 31078, 975, 4032, 9122, 15730, 2423, 314, 2815, 8978, 43242, 8315, 314, 36133, 2815, 4032, 19913, 33911, 2655, 11296, 307, 281, 4374, 264, 40248, 453, 533, 39182, 19446, 7251, 2655, 3615, 43042, 24976, 2511, 3213, 4032, 39896, 23032, 3555, 3615, 995, 39896, 39894, 2407, 11622, 3615, 9673, 3224, 10943], "avg_logprob": -0.21957236528396606, "compression_ratio": 1.5973451327433628, "no_speech_prob": 1.3113021850585938e-06, 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بتشتغل specific specificity او specific for the antigen من هذا المنطلق احنا سمينا الانقناع هذه هي عبارة عن اداء acquired immunity او adaptive immunity وهي specific immunity بأكتشاف الانفوسايت كنا بنعرف ان الانفوسايت", "tokens": [9778, 15040, 25528, 3714, 46456, 46538, 3660, 28242, 16490, 1211, 10632, 15844, 8608, 9566, 5016, 11296, 32264, 2685, 787, 337, 472, 2511, 3213, 6225, 8592, 7649, 7251, 4117, 28242, 16490, 1211, 10632, 39894, 8592, 2655, 17082, 1211, 2685, 2685, 507, 1975, 2407, 2685, 337, 264, 2511, 3213, 9154, 23758, 9673, 1863, 9566, 1211, 4587, 1975, 5016, 8315, 8608, 2304, 1829, 8315, 2423, 7649, 4587, 8315, 3615, 29538, 39896, 6225, 3555, 9640, 3660, 18871, 1975, 3215, 16606, 17554, 22701, 1975, 2407, 27912, 22701, 37037, 1829, 2685, 22701, 4724, 10721, 4117, 2655, 8592, 31845, 2423, 7649, 5172, 41779, 995, 36081, 9122, 8315, 44945, 3615, 28480, 16472, 2423, 7649, 5172, 41779, 995, 36081], "avg_logprob": -0.27463402028556344, "compression_ratio": 1.7459677419354838, 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60, "seek": 163483, "start": 1608.89, "end": 1634.83, "text": "تحبط ثم ايضا استخدام ال knockout process او knockout cell او knockout animals عشان نتعرف على وظيفة certain trait سواء كان موجود او غايب في animal و ألف شكرياتكم والعافية", "tokens": [2655, 5016, 3555, 9566, 38637, 2304, 1975, 1829, 11242, 995, 44713, 9778, 3215, 10943, 2423, 6728, 346, 1399, 1975, 2407, 6728, 346, 2815, 1975, 2407, 6728, 346, 4882, 6225, 8592, 7649, 8717, 2655, 3615, 28480, 15844, 4032, 19913, 33911, 3660, 1629, 22538, 8608, 2407, 16606, 25961, 3714, 29245, 23328, 1975, 2407, 32771, 47302, 3555, 8978, 5496, 4032, 5551, 46538, 13412, 4117, 16572, 9307, 24793, 16070, 3615, 31845, 10632], "avg_logprob": -0.20120018029558487, "compression_ratio": 1.4147727272727273, "no_speech_prob": 1.4901161193847656e-06, "words": [{"start": 1608.89, "end": 1609.83, "word": "تحبط", "probability": 0.7777099609375}, {"start": 1609.83, "end": 1611.45, "word": " ثم", "probability": 0.9296875}, {"start": 1611.45, "end": 1613.17, "word": " ايضا", "probability": 0.8564453125}, {"start": 1613.17, "end": 1613.73, "word": " استخدام", "probability": 0.9732666015625}, {"start": 1613.73, "end": 1613.89, "word": " ال", "probability": 0.53076171875}, {"start": 1613.89, "end": 1614.49, "word": " knockout", "probability": 0.680419921875}, {"start": 1614.49, "end": 1616.05, "word": " process", "probability": 0.517578125}, {"start": 1616.05, "end": 1616.77, "word": " او", "probability": 0.59466552734375}, {"start": 1616.77, "end": 1617.91, "word": " knockout", "probability": 0.746826171875}, {"start": 1617.91, "end": 1618.29, "word": " cell", "probability": 0.87451171875}, {"start": 1618.29, "end": 1618.97, "word": " او", "probability": 0.9609375}, {"start": 1618.97, "end": 1619.63, "word": " knockout", "probability": 0.86083984375}, {"start": 1619.63, "end": 1620.21, "word": " animals", "probability": 0.8017578125}, {"start": 1620.21, "end": 1620.75, "word": " عشان", "probability": 0.9737955729166666}, {"start": 1620.75, "end": 1621.73, "word": " نتعرف", "probability": 0.9912109375}, {"start": 1621.73, "end": 1621.97, "word": " على", "probability": 0.767578125}, {"start": 1621.97, "end": 1622.67, "word": " وظيفة", "probability": 0.996337890625}, {"start": 1622.67, "end": 1623.51, "word": " certain", "probability": 0.94287109375}, {"start": 1623.51, "end": 1624.09, "word": " trait", "probability": 0.923828125}, {"start": 1624.09, "end": 1624.89, "word": " سواء", "probability": 0.8562825520833334}, {"start": 1624.89, "end": 1625.13, "word": " كان", "probability": 0.9951171875}, {"start": 1625.13, "end": 1625.55, "word": " موجود", "probability": 0.9827473958333334}, {"start": 1625.55, "end": 1625.75, "word": " او", "probability": 0.943603515625}, {"start": 1625.75, "end": 1626.89, "word": " غايب", "probability": 0.86376953125}, {"start": 1626.89, "end": 1627.65, "word": " في", "probability": 0.88037109375}, {"start": 1627.65, "end": 1628.47, "word": " animal", "probability": 0.83935546875}, {"start": 1628.47, "end": 1631.15, "word": " و", "probability": 0.6708984375}, {"start": 1631.15, "end": 1632.43, "word": " ألف", "probability": 0.6546630859375}, {"start": 1632.43, "end": 1633.95, "word": " شكرياتكم", "probability": 0.796484375}, {"start": 1633.95, "end": 1634.83, "word": " والعافية", "probability": 0.7572021484375}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 1639.282375, "duration_after_vad": 1568.3849999999975}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/0riEDI3L2MA_raw.srt b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/0riEDI3L2MA_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..8dce7eb8143cbebfca11bc632e170695a716aaa6
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/0riEDI3L2MA_raw.srt
@@ -0,0 +1,1620 @@
+1
+00:00:21,240 --> 00:00:27,440
+لازلنا في شبتر ستة وهو ال isomorphism المرة اللى
+
+2
+00:00:27,440 --> 00:00:33,520
+فاتت عرفنا ال atomorphism وعرفنا انه عبارة عن
+
+3
+00:00:33,520 --> 00:00:37,880
+isomorphism لكن من ال group إلى نفس ال group
+
+4
+00:00:37,880 --> 00:00:43,720
+وبالتالي سمناه atomorphismعرفنا كمان الـ Inner
+
+5
+00:00:43,720 --> 00:00:48,560
+Atomorphism induced by an element of A group G
+
+6
+00:00:48,560 --> 00:00:55,940
+وقلنا الـ Phi A of X يساوي A X A inverse وسمينا
+
+7
+00:00:55,940 --> 00:01:02,640
+هذا الـ Inner Atomorphism من G الآن لو جمعنا كل
+
+8
+00:01:02,640 --> 00:01:08,570
+الـ Atomorphism في G وسميناهم الستAtomorphism لـ G
+
+9
+00:01:08,570 --> 00:01:14,310
+جمعنا كل ال inner atomorphism وسميناهم ال inner
+
+10
+00:01:14,310 --> 00:01:18,750
+atomorphism of G يفجر الرمز اللي قدام ال
+
+11
+00:01:18,750 --> 00:01:24,110
+atomorphism ل G كل ال atomorphism اللي موجودة في
+
+12
+00:01:24,110 --> 00:01:28,910
+ال group G ال inner atomorphism ل G كل ال inner
+
+13
+00:01:28,910 --> 00:01:34,490
+atomorphism of group G النظرية اللي عندنابتقول لو
+
+14
+00:01:34,490 --> 00:01:38,210
+كانت جي جروب يبقى الاطمورفزم وال inner
+
+15
+00:01:38,210 --> 00:01:45,270
+-automorphism لجروب جي كل واحد فيهم عبارة عن جروب
+
+16
+00:01:45,770 --> 00:01:49,370
+بدي أحاول أثبت النقطة الأولى ومن ثم أثبت النقطة
+
+17
+00:01:49,370 --> 00:01:53,170
+الثانية طبع الكتاب تركله .. تركه ملكه as an
+
+18
+00:01:53,170 --> 00:01:57,170
+exercise يعني حطه ال .. ال .. ال .. في التمرين
+
+19
+00:01:57,170 --> 00:02:02,190
+تبعت ميم تبعت الكتاب على أساس اتحله ك exercise
+
+20
+00:02:02,190 --> 00:02:07,070
+احنا هنبره إنه برهان عادييبقى الخطوة الأولى بدي
+
+21
+00:02:07,070 --> 00:02:11,590
+أثبت له ان الاتو مورفزم is a group يعني بدي أثبت
+
+22
+00:02:11,590 --> 00:02:16,150
+ان ال binary operation اللي على الاتو مورفزم اللي
+
+23
+00:02:16,150 --> 00:02:20,150
+جيه is a binary operation associative ال identity
+
+24
+00:02:20,150 --> 00:02:25,050
+element ال inverse element و هكذا نجي للنقطة
+
+25
+00:02:25,050 --> 00:02:31,510
+الأولى لذلك بدي أقوله letفاي واحد وفاي اتنين
+
+26
+00:02:31,510 --> 00:02:39,110
+موجودات في الاتمورفزم اللاجئ يبقى
+
+27
+00:02:39,110 --> 00:02:44,530
+بناء عليه مدام اتمورفزم يبقى كل من فاي واحد وفاي
+
+28
+00:02:44,530 --> 00:02:53,530
+اتنين is one to one and unto يبقى then الواحد وفاي
+
+29
+00:02:53,530 --> 00:03:01,210
+اتنين is one to one and untoهذا بيعطينا من مبادئ
+
+30
+00:03:01,210 --> 00:03:06,910
+الرياضيات ان ال composition فيما بينهما في واحد في
+
+31
+00:03:06,910 --> 00:03:14,510
+اتنين is one to one and one to كذلكمن مبادئ
+
+32
+00:03:14,510 --> 00:03:18,330
+الرياضيات لو كان عندى two functions كل واحدة فيهم
+
+33
+00:03:18,330 --> 00:03:21,730
+one to one and unto يبقى ال composition عليهم
+
+34
+00:03:21,730 --> 00:03:26,450
+بيعطينا one to one and unto function بدى أشوف
+
+35
+00:03:26,450 --> 00:03:31,110
+هالهدى بتخدم خاصية ال isomorphism ولا لأ إن خدمت
+
+36
+00:03:31,110 --> 00:03:36,000
+يبقى بصير هدىهذه موجودة في الاتموفيزم
+
+37
+00:03:44,810 --> 00:03:53,910
+يبقى بناء عليه هذي بتعطينا في وان لفي توف XY ليش
+
+38
+00:03:53,910 --> 00:03:57,970
+هذا تعريف ال composition of functions اللي أخدناه
+
+39
+00:03:57,970 --> 00:04:05,810
+في calculus A هذا الكلام يساوي في واحد امالان في
+
+40
+00:04:05,810 --> 00:04:11,070
+اتنين انا فرضه اتو مورفزم لجي يعني ايزو مورفزم اذا
+
+41
+00:04:11,070 --> 00:04:15,110
+بناء عليه لما يأثر على ال X و Y يبدو يساوي في في
+
+42
+00:04:15,110 --> 00:04:23,790
+تو of X في في تو of Y يبقى في تو of X في في تو of
+
+43
+00:04:23,790 --> 00:04:33,230
+Y ليش؟ since لإن ال في تو is isomorphismطيب هذا
+
+44
+00:04:33,230 --> 00:04:42,890
+الكلام يساوي يساوي فاي وان لفاي two of x وكمان فاي
+
+45
+00:04:42,890 --> 00:04:51,370
+وان لفاي two of y لنفس السبب نظرا لإن فاي وان is
+
+46
+00:04:51,370 --> 00:04:57,510
+an isomorphism يبقى هذا الكلام since فاي وان is an
+
+47
+00:04:57,510 --> 00:05:01,930
+isomorphismطيب بدا الشغلانة ال composition of
+
+48
+00:05:01,930 --> 00:05:06,930
+functions بده رجعهم الى أصلهم يبقى هذا معناه في
+
+49
+00:05:06,930 --> 00:05:12,890
+واحد في اتنين كله as a function of x و في واحد في
+
+50
+00:05:12,890 --> 00:05:19,290
+اتنين as a function of y يبقى بناء عليه أصبح في
+
+51
+00:05:19,290 --> 00:05:23,950
+واحد في اتنين في اتنين is an isomorphism وبالتالي
+
+52
+00:05:23,950 --> 00:05:30,380
+اتومورفزميبقى ال atomorphism ل G is closed under
+
+53
+00:05:30,380 --> 00:05:34,500
+the composition of functions أو ال composition of
+
+54
+00:05:34,500 --> 00:05:38,940
+functions is a binary operation على مين؟ على G
+
+55
+00:05:38,940 --> 00:05:45,220
+يبقى يا بتروح تقولي هنا ال atomorphism
+
+56
+00:05:45,220 --> 00:05:54,740
+atomorphism ل G is closed under the
+
+57
+00:05:59,540 --> 00:06:06,340
+composition of functions يعني إذا كان بدل العبارة
+
+58
+00:06:06,340 --> 00:06:09,300
+هذه بتقدر تقولي so the composition of a function
+
+59
+00:06:09,300 --> 00:06:14,700
+is a binary operation على مين على الاتومورفزم لمين
+
+60
+00:06:14,700 --> 00:06:20,300
+إلى دي يعني إحنا حتى الآن أثبتنا مين الخاصية
+
+61
+00:06:20,300 --> 00:06:25,210
+الأولى إن ال operation is a binary operationبتقدر
+
+62
+00:06:25,210 --> 00:06:30,030
+تقولها بينجو سين حطها binary operation عندك مشان
+
+63
+00:06:30,030 --> 00:06:34,390
+تتأكد ان هذه الخطوة هي الخطوة الأولى في إثبات ال
+
+64
+00:06:34,390 --> 00:06:40,690
+group الخطوة التانية خاصية associativity we know
+
+65
+00:06:40,690 --> 00:06:50,950
+that احنا بنعرف ان that the composition of
+
+66
+00:06:50,950 --> 00:06:52,870
+functions
+
+67
+00:06:54,160 --> 00:06:59,880
+is associative يبقى فيش داعي أروح نعملها لإننا
+
+68
+00:06:59,880 --> 00:07:05,000
+عارفين إنها هذه يبقى اتحققت من الخاصية الثانية
+
+69
+00:07:05,000 --> 00:07:10,660
+بدنا نروح نجيب خاصية ال identity element الآن ال I
+
+70
+00:07:10,660 --> 00:07:20,440
+من G إلى G هذه is the identity function
+
+71
+00:07:21,740 --> 00:07:24,580
+خلّيني أسألكم السؤال اللي طالع لما أخدتم مبادئ
+
+72
+00:07:24,580 --> 00:07:27,460
+الرياضية ال identity function one to one and unto
+
+73
+00:07:27,460 --> 00:07:34,460
+ولا لأ؟ مظبوط؟ يبقى هذه ال identity function which
+
+74
+00:07:34,460 --> 00:07:44,920
+is one to one and unto مش عجبا هكذا and ال I لو
+
+75
+00:07:44,920 --> 00:07:50,000
+أثرت على ال X في Y، أيش بتعطيه لك؟الـ X في Y لأن
+
+76
+00:07:50,000 --> 00:07:56,920
+الـ Identity function الـ X هذه ليست I of X وهذه I
+
+77
+00:07:56,920 --> 00:08:02,520
+of Yإذا حققت الخاصية تبع الـ isomorphism صار one
+
+78
+00:08:02,520 --> 00:08:08,260
+to one and unto و حقق الخاصية و من ال group لنفسها
+
+79
+00:08:08,260 --> 00:08:15,880
+يبقى هنا ال I موجود في ال atomorphism الجيب يبقى
+
+80
+00:08:15,880 --> 00:08:21,440
+أصبحت ال I عبارة عن atomorphism هذا هو ال identity
+
+81
+00:08:21,440 --> 00:08:26,600
+element يبقى is the identity
+
+82
+00:08:35,120 --> 00:08:42,320
+Element of الاتمورفزم
+
+83
+00:08:42,320 --> 00:08:49,620
+اللي جيه بدك تعمل تشك تاخد ال identity مع اتمورفزم
+
+84
+00:08:49,620 --> 00:08:52,740
+تاني و تعمل بينهم composites بينهم مالوش تأثير
+
+85
+00:08:52,740 --> 00:08:58,900
+مافيش مشكلةطب الآن بدنا نيجي لمين؟ للمعكوس، الان
+
+86
+00:08:58,900 --> 00:09:09,160
+اف في موجود في ال atom وارفزم لجيبأحاول أن أثبت أن
+
+87
+00:09:09,160 --> 00:09:13,300
+الـPhi Inverse عبارة عن Atomorphism إذا أثبتت أن
+
+88
+00:09:13,300 --> 00:09:16,780
+الـPhi Inverse عبارة عن Atomorphism يبقى أثارة
+
+89
+00:09:16,780 --> 00:09:21,860
+الـAtomorphism is a group وانتهينا من المثلة يعني
+
+90
+00:09:21,860 --> 00:09:27,060
+كأننا نشتغل الآن ما أشتغلناه في الشابتر الثاني بعد
+
+91
+00:09:27,060 --> 00:09:34,080
+شابتر المقدمة وهو شابتر الـgroup يبقى then Phi is
+
+92
+00:09:34,080 --> 00:09:40,910
+one to one and untoمش على جد هيك مادام في one to
+
+93
+00:09:40,910 --> 00:09:47,350
+one and one to one يبجى معاكسه as one to one and
+
+94
+00:09:47,350 --> 00:09:53,650
+one to كذلك functionيبقى one to one and onto
+
+95
+00:09:53,650 --> 00:09:58,590
+function هذا معناه انه في انفرس عبارة عن one to
+
+96
+00:09:58,590 --> 00:10:03,510
+one and onto function ضايل علينا مين؟ ضايل علينا
+
+97
+00:10:03,510 --> 00:10:07,670
+نثبت ان في انفرس is an isomorphism يعني في انفرس
+
+98
+00:10:07,670 --> 00:10:11,250
+of x y هو في انفرس of x وفي انفرس of y اظن
+
+99
+00:10:11,250 --> 00:10:16,590
+اثبتناها في النظرية قبل الماضية او السبع نقاط
+
+100
+00:10:16,590 --> 00:10:20,810
+اثبتناها فيهم طيب و
+
+101
+00:10:23,400 --> 00:10:31,860
+Prove that احنا برهننا كذلك ان في انفرس of x y
+
+102
+00:10:31,860 --> 00:10:40,780
+يسوى في انفرس of x في في انفرس of y برهنها سابقا
+
+103
+00:10:40,780 --> 00:10:47,440
+يبقى صارة في انفرس exist وفي نفس الوقت حققت خاصية
+
+104
+00:10:47,440 --> 00:10:52,570
+ال isomorphism يبقى ه أو ال atomorphismهذا معناه
+
+105
+00:10:52,570 --> 00:10:59,690
+ان في انفرس موجود في الاتموفيزم لمام الاجيه صار
+
+106
+00:10:59,690 --> 00:11:03,510
+الاتموفيزم الاجيه closed under the operation
+
+107
+00:11:03,510 --> 00:11:08,850
+العملية associative ال identity element موجود
+
+108
+00:11:08,850 --> 00:11:15,170
+المعكوس لأي element موجود في الاتموفيزم موجود يبقى
+
+109
+00:11:15,170 --> 00:11:23,170
+الاتموفيزم مالها is a groupيبقى ال atomorphism لدي
+
+110
+00:11:23,170 --> 00:11:34,990
+is a group under the composition of
+
+111
+00:11:34,990 --> 00:11:36,790
+functions
+
+112
+00:11:38,510 --> 00:11:44,830
+طيب كويس انتهينا من الأولى نجل نقطة ثانية ال inner
+
+113
+00:11:44,830 --> 00:11:50,910
+atom morphism ل G the set of all elements Phi A
+
+114
+00:11:50,910 --> 00:11:58,610
+such that ال Phi A of X بده يساوي ال A X A inverse
+
+115
+00:11:58,610 --> 00:12:05,960
+وهذا الكلام لكل ال X اللي موجودة في Gهذه عرفناها
+
+116
+00:12:05,960 --> 00:12:09,380
+المرة اللي فاتت بالشكل اللي عنها ده، بدي أحاول
+
+117
+00:12:09,380 --> 00:12:14,840
+أثبت إنه هذه is a group طب خليني أسألكوا السؤال
+
+118
+00:12:14,840 --> 00:12:19,960
+التالي، لو قدرت أثبت إن ال inner atomorphism اللي
+
+119
+00:12:19,960 --> 00:12:25,000
+جي subgroup من ال atomorphism اللي جي مش ال inner
+
+120
+00:12:25,000 --> 00:12:32,000
+بصير groupلأن الـ subgroup هي مجموعة جزئية من
+
+121
+00:12:32,000 --> 00:12:36,560
+المجموعة الأصلية بس تحت نفس العملية إذا لو قدرت
+
+122
+00:12:36,560 --> 00:12:41,540
+أثبت إن ال inner atomorphisms اللي جيه هي عبارة عن
+
+123
+00:12:41,540 --> 00:12:45,580
+subgroup من ال atomorphism اللي جيه بصير هذه group
+
+124
+00:12:45,580 --> 00:12:52,360
+ونكون انتهينا من المسألة هذه يبقى بدنا نروح نثبتها
+
+125
+00:12:52,760 --> 00:13:00,500
+بدنا نثبت ان ال inner هذه is a group مشان أثبتها
+
+126
+00:13:00,500 --> 00:13:04,440
+group بدأ أثبتها sub group من ال atom morphism ل G
+
+127
+00:13:04,440 --> 00:13:14,920
+ال inner atom morphism ل G is non empty non empty
+
+128
+00:13:14,920 --> 00:13:16,280
+ليش؟ because
+
+129
+00:13:19,280 --> 00:13:27,680
+الـ Phi E موجودة في الـ Inner Atomorphism لجي يعني
+
+130
+00:13:27,680 --> 00:13:36,440
+هذا هو ال identity element because and ال Phi E is
+
+131
+00:13:36,440 --> 00:13:47,260
+the identity element element andالـ Inner
+
+132
+00:13:47,260 --> 00:13:49,740
+Atomorphism لـ G
+
+133
+00:14:01,130 --> 00:14:05,330
+انا بتدعي انه ال identity element الان بدى بين ان
+
+134
+00:14:05,330 --> 00:14:10,470
+هذا هو ال identity element تبع ال atomorphism يبقى
+
+135
+00:14:10,470 --> 00:14:17,110
+هذا بدى يعطيني ان ال phi E of X يساوي ال X يساوي
+
+136
+00:14:17,110 --> 00:14:22,410
+شريك ال X هذه لو ضربت في ال identity element تتغير
+
+137
+00:14:22,410 --> 00:14:30,360
+يعني لو قلتلك هذه E X صح ولا غلط؟مية المية طب لو
+
+138
+00:14:30,360 --> 00:14:34,440
+قلتلك كمان ضربت في معكوس ال identity element مين
+
+139
+00:14:34,440 --> 00:14:39,600
+معكوس ال identity element ال identity element نفسه
+
+140
+00:14:39,600 --> 00:14:47,140
+يبقى سعر ال في إيه ده موجود في ال inner atom
+
+141
+00:14:47,140 --> 00:14:51,880
+morphism ل G ومن هنا ال inner atom morphism ل G is
+
+142
+00:14:51,880 --> 00:14:59,450
+non emptyطب كويس الان بدأ اخد two elements موجودات
+
+143
+00:14:59,450 --> 00:15:05,190
+في ال inner و اثبت ان الأول في معكوس الثاني موجود
+
+144
+00:15:05,190 --> 00:15:13,910
+يبقى بداجي اقوله let code لفاي a وفاي بي موجودات
+
+145
+00:15:13,910 --> 00:15:18,750
+في ال inner atomorphism لجيه then
+
+146
+00:15:20,330 --> 00:15:28,470
+بدي اخد فاي ا فاي بي انفرس كله as a function of x
+
+147
+00:15:28,470 --> 00:15:34,330
+وشوف هل هذا موجود في ال inner ولا لأ بمعنى اخر هل
+
+148
+00:15:34,330 --> 00:15:40,430
+بقدر اكتب حصل الضرب هذا على شكل inner atomorphism
+
+149
+00:15:40,430 --> 00:15:47,060
+والله مقدرش هذا ما سنجيب عليهطيب هذا الكلام يساوي
+
+150
+00:15:47,060 --> 00:15:52,820
+as a
+
+151
+00:15:52,820 --> 00:15:58,700
+function of x طبعا برهمنا هذا الكلام سابقا فى
+
+152
+00:15:58,700 --> 00:16:03,440
+نظريات السابقة بياننا ان فاي اي انفرس الانفرس
+
+153
+00:16:03,440 --> 00:16:08,720
+بنزله على من؟ على ال element يبقى هاي نزلنا ال
+
+154
+00:16:08,720 --> 00:16:12,470
+inverse على من؟ على ال element اللى جواهذا
+
+155
+00:16:12,470 --> 00:16:20,610
+composition of functions يبقى فاي a لمين لفاي بي
+
+156
+00:16:20,610 --> 00:16:27,150
+انفرس as a function of x يبقى هذه الفاي اللي برا
+
+157
+00:16:27,150 --> 00:16:32,810
+هذه الفاي اللي برا a واللي جوا هذي بده اطبق عليها
+
+158
+00:16:32,810 --> 00:16:38,560
+التعريف اللي احنا جايلينه هنايبقى هذه عبارة عن B
+
+159
+00:16:38,560 --> 00:16:46,220
+inverse X B inverse Inverse طبق لهذا التعريف Phi A
+
+160
+00:16:46,220 --> 00:16:51,800
+ال element A X A inverse يبقى هذا ال element X ال
+
+161
+00:16:51,800 --> 00:16:57,850
+element inverse بالشكل اللي عندنا هذاالان بدي اطبق
+
+162
+00:16:57,850 --> 00:17:04,110
+التعريف كمان مرة يبقى هذا بدي يعطيني ال a b
+
+163
+00:17:04,110 --> 00:17:13,250
+inverse x b inverse x b inverse inverse كل هذا
+
+164
+00:17:13,250 --> 00:17:20,410
+الكلام في من؟ في ال a inverseيبقى اعتبرت هذا كله
+
+165
+00:17:20,410 --> 00:17:24,790
+element في domain الـ phi of A طبقت عليه التعريف
+
+166
+00:17:24,790 --> 00:17:30,030
+اللي هناك A نفس ال element ال A inverse الان
+
+167
+00:17:30,030 --> 00:17:35,170
+بالدالي لخاصية ال associativity يبقى بناء عليه هذا
+
+168
+00:17:35,170 --> 00:17:42,120
+بقدر اقول A B inverse في ال X فيهأتطلعلي هذا ال
+
+169
+00:17:42,120 --> 00:17:45,660
+element inverse و هذا ال element inverse بقدر
+
+170
+00:17:45,660 --> 00:17:51,360
+أجمعهم ب inverse واحد بعد ما أغير أو أبدل مواقعهم
+
+171
+00:17:51,360 --> 00:17:57,740
+يبقى هذا الكلام اللي هو ال a b inverse الكل
+
+172
+00:17:57,740 --> 00:18:02,480
+inverse بالشكل اللي عندنا هذا يبقى هذا inverse و
+
+173
+00:18:02,480 --> 00:18:07,160
+هذا inverse جلبت وضعهم و خلت inverse للكل اتطلعلي
+
+174
+00:18:07,160 --> 00:18:12,120
+للمقدار بين القاوسين هو هذا ولا لايبقى صار ال
+
+175
+00:18:12,120 --> 00:18:18,180
+element هذا هو ال element هذا بس inverse أليس هو
+
+176
+00:18:18,180 --> 00:18:25,760
+تعريف inner atomorphism يعني هذا كأنه مين كأنه في
+
+177
+00:18:25,760 --> 00:18:32,300
+a b inverse of x تمام
+
+178
+00:18:32,970 --> 00:18:40,210
+يبقى ابتدات ب element في معكوسي ثاني طلع عندي Phi
+
+179
+00:18:40,210 --> 00:18:45,910
+of AB inverse يعني إيش؟ يعني اللي هو inner
+
+180
+00:18:45,910 --> 00:18:53,370
+atomorphism إذا هذا موجود في inner atomorphism ل G
+
+181
+00:18:55,870 --> 00:19:00,910
+ثبت هنا انه non-empty أخدت ال elements موجودات في
+
+182
+00:19:00,910 --> 00:19:06,350
+ال inner فردت الأول في معكوس الثاني طلع موجود وين
+
+183
+00:19:06,350 --> 00:19:12,810
+في ال inner atomorphism يبقى بناء عليه ال inner
+
+184
+00:19:12,810 --> 00:19:20,150
+atomorphism لجي is a subgroup من ال atomorphism
+
+185
+00:19:20,150 --> 00:19:22,970
+لجي هذا بيعطينا
+
+186
+00:19:48,290 --> 00:19:52,050
+حد لو يتساول بالنسبة للنظرية
+
+187
+00:19:55,710 --> 00:20:02,030
+علي صوتك شوية عشان
+
+188
+00:20:02,030 --> 00:20:13,110
+نثبت انها non-empty ممتاز تعال
+
+189
+00:20:13,110 --> 00:20:17,810
+هنا تعال تعال الحق الحق قول
+
+190
+00:20:26,310 --> 00:20:31,150
+انا ادعيت ان هذا هو ال identity element هايو جايلك
+
+191
+00:20:31,150 --> 00:20:34,990
+هذا is identity element ان جيه جيت قولتلك مدام
+
+192
+00:20:34,990 --> 00:20:39,410
+identity يبقى بده يساوي هيكمظبوط تأثيره على ال
+
+193
+00:20:39,410 --> 00:20:43,350
+element بيسوي ال element هذه النتيجة بدي احاول احط
+
+194
+00:20:43,350 --> 00:20:49,510
+على شكل inner atomorphism فروحت قولت الفي يسوي X
+
+195
+00:20:49,510 --> 00:20:54,670
+يسوي E X E inverse هذا شكل inner atomorphism
+
+196
+00:20:54,670 --> 00:21:02,070
+وبالتالي هذا موجود هنا قسمة عالمية أربعة بيصير
+
+197
+00:21:02,070 --> 00:21:09,380
+في A X بيسوي E X E inverseفاي اي هي ال identity هي
+
+198
+00:21:09,380 --> 00:21:14,840
+جايلك من الأول في اي موجودة وهي ال identity مش ال
+
+199
+00:21:14,840 --> 00:21:19,620
+اي ال اي هو ال identity تبع ال group لكن في اي هو
+
+200
+00:21:19,620 --> 00:21:23,020
+ال identity element تبع ال atom morphism وتبع ال
+
+201
+00:21:23,020 --> 00:21:26,800
+inner atom morphism در بالك يعني هدول functions
+
+202
+00:21:26,800 --> 00:21:32,580
+وليست elements عادية تمام لكن صورها هي ال elements
+
+203
+00:21:32,580 --> 00:21:36,400
+اللي موجودة وين في نفس ال group اللي عندنا جيهحد
+
+204
+00:21:36,400 --> 00:21:41,380
+يلاقي تساوي الآخر؟ طيب بدنا نروح و نوضع هذا الكلام
+
+205
+00:21:41,380 --> 00:21:49,800
+بمثال example
+
+206
+00:22:12,580 --> 00:22:22,400
+بقول الف دي فور بده يساوي ال R نود R تسعين R مية و
+
+207
+00:22:22,400 --> 00:22:35,360
+تمانين R ميتين و سبعين H V D D prime find find او
+
+208
+00:22:35,360 --> 00:22:38,340
+جد ليه ال inner
+
+209
+00:22:41,510 --> 00:22:47,710
+لمان لدي four بدنا ال inner atomorphism لدي four
+
+210
+00:22:47,710 --> 00:22:53,550
+solution
+
+211
+00:23:03,160 --> 00:23:08,840
+تعالى نشوف اللى هو ال elements المختلفة اللى بدنا
+
+212
+00:23:08,840 --> 00:23:13,480
+نجيبها من خلال ال elements اللى عندنا نتكلم احنا
+
+213
+00:23:13,480 --> 00:23:17,620
+على ال inner مدام على ال inner يبقى نتكلم على
+
+214
+00:23:17,620 --> 00:23:23,560
+functions كلها بهذا الشكل تمام؟ بدى أروح أجيب هنا
+
+215
+00:23:23,560 --> 00:23:34,730
+فاي ارتس ارزيرو as a function of xطبعا ال X مين يا
+
+216
+00:23:34,730 --> 00:23:41,130
+شباب ال X اي عنصر من هدول مين ماكان يكون يبقى هذا
+
+217
+00:23:41,130 --> 00:23:45,870
+لكل ال X اللي موجودة في G يبقى هذا حسب ال
+
+218
+00:23:45,870 --> 00:23:52,890
+definition بده يساوي R node X R node inverse حد
+
+219
+00:23:52,890 --> 00:23:59,030
+فيكم يقدر يقولي قداش الناتج؟كداش؟ X لأن هذا هو ال
+
+220
+00:23:59,030 --> 00:24:02,450
+identity element ومعكوس ال identity element ال
+
+221
+00:24:02,450 --> 00:24:06,210
+identity element نفسه ويضربه في أي element بيعطينا
+
+222
+00:24:06,210 --> 00:24:12,790
+نفس ال element طيب كويس اذا تأثير في ارنود على
+
+223
+00:24:12,790 --> 00:24:17,350
+جميع أناصر جيه بيعطيني جميع أناصر دي حط على شجرة
+
+224
+00:24:17,350 --> 00:24:24,350
+الان بداجة اخد في ار مية وتمانين as a function of
+
+225
+00:24:24,350 --> 00:24:33,860
+Xيبقى هذا الكلام يبدو يساوي R180 X R180 Inverse
+
+226
+00:24:33,860 --> 00:24:41,360
+السؤال هو قبل مسافر اعطيتكوا ال center تبع ال D4
+
+227
+00:24:41,360 --> 00:24:46,860
+او ال DN قلنا لكوا اذا ال N فردي يبقى ال center
+
+228
+00:24:46,860 --> 00:24:53,340
+مافيه الا ال identity elementوإذا الـ DN الـ N
+
+229
+00:24:53,340 --> 00:24:58,140
+زوجي يبقى فيها الـ Identity Element والـ R180 صحيح
+
+230
+00:24:58,140 --> 00:25:02,860
+ولا لأ؟ إذا الـ R180 هذه موجودة في الـ Center يعني
+
+231
+00:25:02,860 --> 00:25:10,100
+كميوتس مع جميع عناصر D4 إذا هذه لو بدلتها هنا بصير
+
+232
+00:25:10,100 --> 00:25:14,400
+X R180 IR Inverse اللي هي بالـ Identity يبقى ناتج
+
+233
+00:25:14,400 --> 00:25:15,660
+كده بده يعطينا
+
+234
+00:25:19,650 --> 00:25:27,540
+لأن الـ R 180 موجودة في الـ Center تبع الـ D4طب من
+
+235
+00:25:27,540 --> 00:25:33,520
+الاتنين هدول إذا الناتج هو نفسه معناته في ار نوت
+
+236
+00:25:33,520 --> 00:25:37,200
+تأثيرها على ال elements بتساوي في ار نوت تأثيرها
+
+237
+00:25:37,200 --> 00:25:40,920
+على الار مية و تمانين تأثيرها على ال elements يبقى
+
+238
+00:25:40,920 --> 00:25:49,640
+أصبح في ار نوت بتساوي في ار مية و تمانين تمام يبقى
+
+239
+00:25:49,640 --> 00:25:53,600
+هدول في ال atom morphism عنصرين ولا عنصر واحد
+
+240
+00:25:54,780 --> 00:26:01,440
+انصرين ولا واحد واحد ممتاز جدا طيب تعالى نشوف فاي
+
+241
+00:26:01,440 --> 00:26:10,120
+R ميتين وسبعين ميتين وسبعين تثيرها على X يبقى هذه
+
+242
+00:26:10,120 --> 00:26:19,700
+R ميتين وسبعين X R ميتين وسبعين inverse وتساويايش
+
+243
+00:26:19,700 --> 00:26:28,240
+رايك ال R270 بقدر اكتبها R180 مضروبة في R90 صحيح
+
+244
+00:26:28,240 --> 00:26:33,500
+ولا لا؟لأن هذه نفسها ال rotation هو نفسه ماعناه مش
+
+245
+00:26:33,500 --> 00:26:39,960
+مشكلة طيب هنا ال X ال R ميتين .. اه هذه R ميتين و
+
+246
+00:26:39,960 --> 00:26:45,220
+سبعين inverse حسب التعريف طبعا يبقى R ميتين و
+
+247
+00:26:45,220 --> 00:26:49,120
+سبعين inverse في ال H مش خليني اسألكوا السؤال
+
+248
+00:26:49,120 --> 00:26:56,640
+التالي R تلتمية و ستين كدهش تساوي يا شباب ارنود
+
+249
+00:26:56,640 --> 00:27:06,420
+طبعاطيب ارنود لو ضربتها في R تسعين انفرس بيصير ال
+
+250
+00:27:06,420 --> 00:27:17,440
+R ميتين و سبعين تساوي ال R تسعين انفرس يعني ضربت
+
+251
+00:27:17,440 --> 00:27:24,200
+الطرفين في مين؟ر تسعين انفرس يبقى بناء عليه الار
+
+252
+00:27:24,200 --> 00:27:30,500
+ميتين وسبعين انفرس الار ميتين وسبعين انفرس لو بدأ
+
+253
+00:27:30,500 --> 00:27:35,660
+اخد الانفرس هنا يقول هيعطيني من الانفرس هنا يبقى
+
+254
+00:27:35,660 --> 00:27:43,180
+الار ميتين وسبعين انفرس بده يساوي الار تسعين طيب
+
+255
+00:27:45,430 --> 00:27:54,010
+هذا الكلام بده يساوي هذه ال R التي هي
+
+256
+00:27:54,010 --> 00:28:02,850
+R تسعين inverse في R مية وتمانين inverseالـ R 180
+
+257
+00:28:02,850 --> 00:28:07,570
+موجودة مع الـ Center يبقى لو جيب تهادي معهدش بصير
+
+258
+00:28:07,570 --> 00:28:15,670
+الـ Identity Element يبقى بصير الناتج R 90 X R 90
+
+259
+00:28:15,670 --> 00:28:21,410
+Inverse أليس تهادي على الصيغة اللي موجودة عندنا
+
+260
+00:28:21,410 --> 00:28:31,640
+هذه؟يبقى هذه فاي R تسعين يبقى هذه فاي R تسعين as a
+
+261
+00:28:31,640 --> 00:28:39,440
+function of X يبقى بناء عليه أصبح عند هنا مين فاي
+
+262
+00:28:39,440 --> 00:28:48,640
+R ميتين وسبعين بده سوى فاي R تسعين هذه بروزناها
+
+263
+00:28:48,640 --> 00:28:54,030
+وهذه بروزناها النتيجة اللي حصلنا عليهايبقى خلصنا
+
+264
+00:28:54,030 --> 00:28:59,650
+من R نود و من R تسعين و من R مية و تمانين و من R
+
+265
+00:28:59,650 --> 00:29:07,710
+ميتين و سبعين بدنا نجي لامام لفاي H as a function
+
+266
+00:29:07,710 --> 00:29:19,670
+of X يبقى H X H inverse هذا الكلام يساوي بالدجل ال
+
+267
+00:29:19,670 --> 00:29:26,360
+H عندنالو روحت فتحت على الجدول صفحة واحد و تلاتين
+
+268
+00:29:26,360 --> 00:29:33,100
+تابع الكلتاب اللامان لل دي فور صفحة واحد و تلاتين
+
+269
+00:29:33,100 --> 00:29:40,460
+وروح تدور على ح ممكن تساوي هلاجيها R مية و تمانين
+
+270
+00:29:40,460 --> 00:29:47,490
+في Vيبقى ر مية و تمانين في V هي ال H إذا ممكن
+
+271
+00:29:47,490 --> 00:29:56,890
+أشيلها و أكتب ر مية و تمانين V في ال X في ال R مية
+
+272
+00:29:56,890 --> 00:30:05,800
+و تمانين V لكل inverseطب ليش كتبتها هيك؟ عشان أسهل
+
+273
+00:30:05,800 --> 00:30:10,180
+عملية الاختصارات يعني بدي أحاول أكتبها بدلالة من؟
+
+274
+00:30:10,180 --> 00:30:14,560
+بدلالة ال R180 كون ال R180 في ال center إذا
+
+275
+00:30:14,560 --> 00:30:20,780
+بتختصرني نص الشيء اللي موجود طيب هذا الكلام يساوي
+
+276
+00:30:20,780 --> 00:30:23,060
+R180
+
+277
+00:30:25,010 --> 00:30:33,570
+فى V فى ال X هذه ال inverse اللى V inverse R مية و
+
+278
+00:30:33,570 --> 00:30:40,030
+تمانين inverse طب هذه لو جبت عندها دي بقى كم بصير
+
+279
+00:30:40,030 --> 00:30:48,770
+بال identity ايش بصير عندنا هنا VX V inverse يبقى
+
+280
+00:30:48,770 --> 00:30:57,900
+هذه مين هذه Phi V of Xيبقى بناء عليه أصبح عندي فاي
+
+281
+00:30:57,900 --> 00:31:06,700
+H هي عبارة عن فاي V بقى اللي عندي أخر حاجة فاي D
+
+282
+00:31:06,700 --> 00:31:14,780
+Prime as a function of X يبقى هي D Prime X D Prime
+
+283
+00:31:14,780 --> 00:31:21,100
+Inverseبنفس الطريقة اللى جبت فيها H بدى أروح أجيب
+
+284
+00:31:21,100 --> 00:31:28,460
+D' بروح بفتح الجدول صفحة واحد و تلاتين على ال D'
+
+285
+00:31:29,220 --> 00:31:35,820
+على من؟ على ال D' بدى R مية و تمانين عشان يجيبلي
+
+286
+00:31:35,820 --> 00:31:42,530
+D' بصير R مية و تمانين في Dيبقى بشيلها و بكتب
+
+287
+00:31:42,530 --> 00:31:51,250
+بدالها R مية و تمانين في D في X في ال R مية و
+
+288
+00:31:51,250 --> 00:31:58,270
+تمانين في D كل هذا الكلام inverse يبقى هذا الكلام
+
+289
+00:31:58,270 --> 00:32:02,370
+بيصير R مية و تمانين في D
+
+290
+00:32:12,070 --> 00:32:18,930
+يبقى هذه مع هذه بمين بال identity element تمام
+
+291
+00:32:18,930 --> 00:32:26,920
+يبقى النتيجة هتعطيك DX D inverseهذه هي عبارة عن
+
+292
+00:32:26,920 --> 00:32:35,380
+main فايدي of x يبقى بناء عليه أصبح فايدي prime
+
+293
+00:32:35,380 --> 00:32:38,300
+بده يساوي فايدي
+
+294
+00:32:40,110 --> 00:32:45,830
+يبقى التمانية inner atomorphism
+
+295
+00:32:45,830 --> 00:32:54,030
+صاروا كده؟ أربعة وليست تمانية الأربع صاروا على
+
+296
+00:32:54,030 --> 00:32:55,850
+الشكل التالي
+
+297
+00:33:11,130 --> 00:33:19,170
+يبقى هنا سا ال inner atomorphism ل D for هو عبارة
+
+298
+00:33:19,170 --> 00:33:26,130
+عن ال في R نوت طبعا يسوي في R مية و تمانين والتاني
+
+299
+00:33:26,130 --> 00:33:33,850
+في R تسعين اللي يسوي في R ميتين وسبعين والتالت
+
+300
+00:33:33,850 --> 00:33:39,690
+اللي هو في H والرابع اللي هو main في D بهذا الشكل
+
+301
+00:33:40,480 --> 00:33:46,740
+يبقى هدول ال inner atomorphism لمن؟ لـG السؤال هو
+
+302
+00:33:46,740 --> 00:33:53,380
+هل ال inner atomorphism لـG أقل من ذلك و اللهيهم
+
+303
+00:33:53,380 --> 00:33:58,720
+الأربعة فيش غيرهم بمعنى أخر هل الأربعة هدول بقدر
+
+304
+00:33:58,720 --> 00:34:04,040
+أخسرهم لتلاتة ولا لاتنين تعالوا نشوفوا نتأكد من
+
+305
+00:34:04,040 --> 00:34:09,640
+هذا الكلام أنا أدعي أن هذه الأربعة are destined
+
+306
+00:34:10,700 --> 00:34:21,380
+يبقى هنا this أو the elements له five R node وfive
+
+307
+00:34:21,380 --> 00:34:29,580
+R تسعين وfive H and الفي
+
+308
+00:34:29,580 --> 00:34:31,260
+دي are destiny
+
+309
+00:34:34,120 --> 00:34:38,580
+إذا Destinate معناته إيه؟ معناته إنه فعلا الـ
+
+310
+00:34:38,580 --> 00:34:43,080
+Inner Atomorphism فيه الـD و الـG مافيش فيه إلا
+
+311
+00:34:43,080 --> 00:34:49,600
+الأربع عناصر هدول أو الأربع Inner Atomorphism مشان
+
+312
+00:34:49,600 --> 00:34:54,540
+أثبتهم Destinate يكفيني counter example واحد لكل
+
+313
+00:34:54,540 --> 00:34:59,670
+واحدة فيهم تعالى نشوفالان انا ادعى انهم هذول
+
+314
+00:34:59,670 --> 00:35:06,830
+destinect اذا لو جيت قلت فاي ار نود و بده اخليه
+
+315
+00:35:06,830 --> 00:35:15,910
+اثر مثلا على اتش اخد اتش عشوائيا من ال D4 يبقى هذا
+
+316
+00:35:15,910 --> 00:35:23,290
+بده يسوي ار نود اتش ار نود اللي هو main ب اتشالان
+
+317
+00:35:23,290 --> 00:35:31,170
+بدأ اخد فاي R تسعين as a function of H يبقى هذا
+
+318
+00:35:31,170 --> 00:35:39,850
+الكلام بده يساوي R تسعين H R تسعين inverse و يساوي
+
+319
+00:35:39,850 --> 00:35:46,370
+برضه بده ارجع للجدول R تسعين H اللي في صفحة واحدة
+
+320
+00:35:46,370 --> 00:35:55,890
+و تلاتين R تسعين HR تسعين تضربها في H بيطلع D
+
+321
+00:35:55,890 --> 00:36:02,590
+Prime يبقى هذي D Prime R تسعين Inverse اللي هي
+
+322
+00:36:02,590 --> 00:36:09,250
+بمين بR ميتين والسبعين يبقى R ميتين والسبعين ال D
+
+323
+00:36:09,250 --> 00:36:13,950
+Prime في ال R ميتين والسبعين عندك D Prime في ال R
+
+324
+00:36:13,950 --> 00:36:20,340
+ميتين والسبعين اللي هو بيعطيلك V بيعطيلك Vهذه
+
+325
+00:36:20,340 --> 00:36:29,460
+اعطتنى H وهذه اعطتنى V إذا لا يمكن لل R لل FI R
+
+326
+00:36:29,460 --> 00:36:37,460
+تسعين انه يساوي مين انه يساوي ال FI R نوت الان
+
+327
+00:36:37,460 --> 00:36:45,240
+بالمثل لو جيت قولت FI R تسعين بدي ابحثها مع مين مع
+
+328
+00:36:45,240 --> 00:36:50,710
+FI H بدي اثبت انه مفيش تساوي فيما بينهمايبقى في ار
+
+329
+00:36:50,710 --> 00:36:57,030
+تسعين مثلا لو خلتها تأثر على ار تسعين يبقاش بيصير
+
+330
+00:36:57,030 --> 00:37:05,510
+ار تسعين ار تسعين ار تسعين انفرس اللي هو بقداش ار
+
+331
+00:37:05,510 --> 00:37:14,770
+تسعين الان بدي انا اخد في اتشر تسعين يبقى هذا
+
+332
+00:37:14,770 --> 00:37:24,750
+الكلام يساوي H R تسعين H inverse يبقى
+
+333
+00:37:24,750 --> 00:37:30,090
+H inverse Y يساوي بالداجل ال H R تسعين برضه من
+
+334
+00:37:30,090 --> 00:37:37,710
+صفحة واحدة وتلاتينبدي من؟ بدي ال H R تسعين عندك ال
+
+335
+00:37:37,710 --> 00:37:46,570
+H R تسعين اللي هي ب D دي دي طب و ال H انفرس مش هي
+
+336
+00:37:46,570 --> 00:37:54,720
+H يا شباب ولا لا؟ سكت الشعبالعناصر اللي عندنا هذه
+
+337
+00:37:54,720 --> 00:37:59,260
+هو الراحة H تربيها تساوي V تربيها تساوي D تربيها
+
+338
+00:37:59,260 --> 00:38:03,460
+تساوي D تربيها تساوي ال identity قولنا يبقى الـH
+
+339
+00:38:03,460 --> 00:38:06,900
+والـH inverse DD inverse VV inverse D prime يا D
+
+340
+00:38:06,900 --> 00:38:10,480
+prime inverse، مظبوط؟ إذا اشيلتها وحطيت قيمتها،
+
+341
+00:38:10,480 --> 00:38:16,680
+الآن بدي أشوف الـDH مين هي، يبقى لو جيت لـD في H،
+
+342
+00:38:16,680 --> 00:38:25,460
+D في H باللي بقى 270يبقى هذه بدها تساوي الار متين
+
+343
+00:38:25,460 --> 00:38:30,980
+وسبعين يبقى من الاتنين هدول معناه هذا الكلام اللي
+
+344
+00:38:30,980 --> 00:38:37,780
+هو فاي ار تسعين لا يمكن ان تساوي الفاي اتش اللي
+
+345
+00:38:37,780 --> 00:38:43,590
+عندنا بقى اللي عندنا مين بقى الفايدينالان احنا
+
+346
+00:38:43,590 --> 00:38:47,850
+بياننا هى التنتين الاولى نياتى و هى التنتين
+
+347
+00:38:47,850 --> 00:38:53,850
+التانيات و هى التنتين اللى بعضهم فاي R تسعين برضه
+
+348
+00:38:53,850 --> 00:38:59,770
+بده يخلى يأثر على R تسعين اعطانى R تسعين itself
+
+349
+00:38:59,770 --> 00:39:08,140
+بده اخد اخر واحدة فاي Dلما تأثر على R تسعين يبقى
+
+350
+00:39:08,140 --> 00:39:16,660
+هذا الكلام يساوي DR تسعين D inverseهو يساوي بدي
+
+351
+00:39:16,660 --> 00:39:22,760
+أجيب له ال D R تسعين من الجدول ال D R تسعين عبارة
+
+352
+00:39:22,760 --> 00:39:30,140
+عن V يبقى هذه V و ال D inverse هي عبارة عن D بدي
+
+353
+00:39:30,140 --> 00:39:38,300
+أجيب له ال V في D يبقى ال V في D اللي يبقى R ميتين
+
+354
+00:39:38,300 --> 00:39:46,120
+وسبعينيبقى هذه تساوي R ميتين وسبعين ملي اتنين هدول
+
+355
+00:39:46,120 --> 00:39:54,260
+بس تنتج ان الفاي R تسعين لا يمكن ان تساوي الفاي D
+
+356
+00:39:55,610 --> 00:40:00,970
+اللي عملته انا لسه شغلة اثبت ان الـ Phi R تسعين لا
+
+357
+00:40:00,970 --> 00:40:05,030
+بتساوي هذه ولا بتساوي هذه ولا بتساوي هذه الان انت
+
+358
+00:40:05,030 --> 00:40:09,710
+بكتب ان ال Phi H بساويش هذه Phi H بساويش هذه و Phi
+
+359
+00:40:09,710 --> 00:40:14,590
+H بساويش هذه و بعدين Phi D يبقى بروح بقوله
+
+360
+00:40:14,590 --> 00:40:15,910
+similarly
+
+361
+00:40:18,410 --> 00:40:28,530
+similarly for اللي هو فاي اتش and فاي دي thus و
+
+362
+00:40:28,530 --> 00:40:35,850
+هكذا ال inner atom morphism اللي دي for هو عبارة
+
+363
+00:40:35,850 --> 00:40:46,050
+عن الفاي ار نود و الفاي ار تسعين و الفاي اتش و
+
+364
+00:40:46,050 --> 00:40:55,540
+الفاي ديفقط لا غير طيب بدي أسأل السؤال التالي أنا
+
+365
+00:40:55,540 --> 00:41:01,360
+أخد تأثير ال R node على H و R node على H طب لو
+
+366
+00:41:01,360 --> 00:41:08,060
+غيرت ال H هذه يمكن يطلع اتنين زي بعض اه دير بالك
+
+367
+00:41:08,060 --> 00:41:13,370
+اصبر شوية اصبر عليا شويةانا هنا اثبت له ان الارد
+
+368
+00:41:13,370 --> 00:41:18,690
+نود الارد نود هي الارد مية و تمانين على مين على
+
+369
+00:41:18,690 --> 00:41:25,270
+اكس هل ال X اخترت رمز معين ولا جيت على تمانية رموز
+
+370
+00:41:25,270 --> 00:41:30,770
+على تمانية ممتاز اذاإذا أنا لما أقول هذه لا تساوي
+
+371
+00:41:30,770 --> 00:41:36,190
+قد تساوي على بعض الرموز ولا تساوي على البعض الآخر
+
+372
+00:41:36,190 --> 00:41:41,050
+يبقى أنا بس جبت counter example أنها لا تساوي in
+
+373
+00:41:41,050 --> 00:41:46,430
+general لكن قد يحدث تساوي آخر لا مشكلة في ذلك لأن
+
+374
+00:41:46,430 --> 00:41:52,620
+أنا بدي عدم التساوي يكون على الكل بلا استثناءاذا
+
+375
+00:41:52,620 --> 00:41:58,260
+لو لجيت رمز واحد من التمانية التساوي غير حاصل زي
+
+376
+00:41:58,260 --> 00:42:04,160
+ما شوفت هنا يبقى هدول يمكن ان يتساوى رغم ان هم
+
+377
+00:42:04,160 --> 00:42:08,680
+ممكن يتساوى على بعض العناصر لكن in general على D4
+
+378
+00:42:08,680 --> 00:42:15,720
+كلها بحصلش تساوي واضح كلامي؟ ايوة مش سامع ايش
+
+379
+00:42:15,720 --> 00:42:18,220
+بتقول هلصوتك
+
+380
+00:42:23,350 --> 00:42:24,650
+مين المتساوين؟
+
+381
+00:42:33,630 --> 00:42:38,550
+ماعنديش مشكلة انا بقولك انه ممكن يحصل تساوي لكن
+
+382
+00:42:38,550 --> 00:42:42,710
+اذا بدك التساوي على جميع العناصر وليس على بعضها
+
+383
+00:42:42,710 --> 00:42:47,130
+عشان يحصل التساوي طبعا اذا انا من التمان عناصر
+
+384
+00:42:47,130 --> 00:42:52,650
+فبعد if لو لجيت عنصر واحد التساوي غير حاصل اذا in
+
+385
+00:42:52,650 --> 00:42:56,670
+general التساوي غير حاصلمشان يكون تساوي بدي يكون
+
+386
+00:42:56,670 --> 00:43:02,510
+لجميع العناصر X يعني جميع عناصر D4 الثمانية بلا
+
+387
+00:43:02,510 --> 00:43:06,710
+استثناء يبقى بناء عليه هدول عناصر ال inner
+
+388
+00:43:06,710 --> 00:43:11,790
+automorphism تبعت منهم تبعات ال D4 اللي هو طلبهم
+
+389
+00:43:11,790 --> 00:43:18,570
+وبالتالي انتهى هذا السؤال ننتقل الآن إلى سؤال
+
+390
+00:43:20,250 --> 00:43:24,970
+السؤال الآخر وهو very important و لو انه لم يبقى
+
+391
+00:43:24,970 --> 00:43:45,030
+له وقت السؤال الآخر بيقول ما يأتي خليه
+
+392
+00:43:45,030 --> 00:43:47,330
+بلكن كمان example
+
+393
+00:43:51,320 --> 00:44:02,000
+example بقول الكمبيوت احسبلي ال atomorphism ل z
+
+394
+00:44:02,000 --> 00:44:04,080
+منين ل z عشرة
+
+395
+00:44:12,500 --> 00:44:17,500
+أنا بدي احسب له كل الاتومورفزم لـ Z10 يعني انا بدي
+
+396
+00:44:17,500 --> 00:44:24,460
+function من Z10 إلى Z10 تبقى وانت وان وانت و تخدم
+
+397
+00:44:24,460 --> 00:44:29,800
+خاصية من الـ isomorphism كل function بهذه الطريقة
+
+398
+00:44:29,800 --> 00:44:35,480
+بتبقى موجود وين؟ في الاتومورفزم لمين؟ لـ Z10 طبعا
+
+399
+00:44:35,480 --> 00:44:41,590
+هنثبت ان هدول أربعة فقط لغيروهذا ما سيكون في
+
+400
+00:44:41,590 --> 00:44:45,690
+المحاضرة بعض الظهر لإنه ماضلش معانا واجد إلا تمام؟
+
+401
+00:44:45,690 --> 00:44:49,230
+هذا أنا بغششك من الحين إذا معاك الكتاب موجودة في
+
+402
+00:44:49,230 --> 00:44:53,890
+الكتاب تمر عليها ولن تفهم منها إلا القليل أنا
+
+403
+00:44:53,890 --> 00:44:58,290
+متأكد مش هتفهم إن هو كتاب إلا القليل لكن ان شاء
+
+404
+00:44:58,290 --> 00:45:02,510
+الله بنوضحها لك و بنفهمها لك في المحاضرة القادمة
+
+405
+00:45:02,510 --> 00:45:04,170
+ان شاء الله يعطيكوا العفو
+
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/3SF3yRg1VtE_raw.json b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/3SF3yRg1VtE_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..ea9321aacdb6a47f9509e097b0b34f1b4158941e
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/3SF3yRg1VtE_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 4771, "start": 21.29, "end": 47.71, "text": "بسم الله الرحمن الرحيم نستكمل الموضوع اللى بدأناه الصبح وهو موضوع ال external direct product بعد ما أخدنا أمثلة من خلالها بنعين ال order لل element وكذلك عدد اللى هو ال elements ب order معين وعدد ال cyclic groups ب order معين ننتقل الآن الى هذه النظرية", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 8717, 14851, 24793, 1211, 9673, 2407, 11242, 45367, 13672, 7578, 47525, 10721, 8315, 3224, 31767, 49628, 37037, 2407, 3714, 2407, 11242, 45367, 2423, 8320, 2047, 1674, 39182, 19446, 5551, 9778, 3215, 8315, 5551, 2304, 12984, 37977, 9154, 16490, 1211, 6027, 11296, 44945, 3615, 9957, 2423, 1668, 24976, 4478, 4032, 4117, 8848, 23275, 6225, 3215, 3215, 13672, 7578, 31439, 2423, 4959, 4724, 1668, 20449, 9957, 4032, 3615, 3215, 3215, 2423, 38154, 1050, 3935, 4724, 1668, 20449, 9957, 8717, 29399, 4587, 1211, 6024, 48506, 2423, 7578, 29538, 28239, 19913, 2288, 10632], "avg_logprob": 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109.12, "word": " ال", "probability": 0.85693359375}, {"start": 109.12, "end": 109.58, "word": " M", "probability": 0.84375}, {"start": 109.58, "end": 110.64, "word": " and", "probability": 0.55126953125}, {"start": 110.64, "end": 111.38, "word": " ال", "probability": 0.8603515625}, {"start": 111.38, "end": 111.94, "word": " order", "probability": 0.96435546875}, {"start": 111.94, "end": 112.4, "word": " لل", "probability": 0.93017578125}, {"start": 112.4, "end": 112.86, "word": " H", "probability": 0.93603515625}, {"start": 112.86, "end": 113.54, "word": " بده", "probability": 0.943115234375}, {"start": 113.54, "end": 114.4, "word": " يساوي", "probability": 0.9801025390625}, {"start": 114.4, "end": 115.0, "word": " ال", "probability": 0.95703125}, {"start": 115.0, "end": 115.68, "word": " N", "probability": 0.97021484375}, {"start": 115.68, "end": 120.2, "word": " then", "probability": 0.435302734375}, {"start": 120.2, "end": 122.64, "word": " لو", "probability": 0.8515625}, {"start": 122.64, "end": 122.92, "word": " بده", "probability": 0.87158203125}, {"start": 122.92, "end": 123.28, "word": " اجيب", "probability": 0.89013671875}, {"start": 123.28, "end": 123.68, "word": " ال", "probability": 0.96337890625}, {"start": 123.68, "end": 124.22, "word": " order", "probability": 0.97705078125}, {"start": 124.22, "end": 124.74, "word": " لل", "probability": 0.91796875}, {"start": 124.74, "end": 125.3, "word": " G", "probability": 0.9345703125}, {"start": 125.3, "end": 126.22, "word": " with", "probability": 0.227783203125}, {"start": 126.22, "end": 128.14, "word": " H", "probability": 0.79296875}, {"start": 128.14, "end": 129.58, "word": " يبقى", "probability": 0.92529296875}, {"start": 129.58, "end": 129.88, "word": " then", "probability": 0.81396484375}], "temperature": 1.0}, {"id": 5, "seek": 14730, "start": 130.22, "end": 147.3, "text": "الأردر للـ G External Hierarchical Product مع H كده يسوى هذا يا شباب مكتوب معاكم من المرة اللي فاتت الأردر للأولى في الأردر لثانية يبقى هذا الكلام يسوى ال M في N", "tokens": [6027, 10721, 2288, 3215, 2288, 24976, 39184, 460, 48277, 10886, 1178, 804, 22005, 20449, 389, 9122, 3215, 3224, 7251, 3794, 2407, 7578, 23758, 35186, 13412, 3555, 16758, 3714, 4117, 2655, 37746, 20449, 995, 24793, 9154, 9673, 25720, 13672, 1829, 6156, 9307, 2655, 16247, 2288, 3215, 2288, 24976, 10721, 12610, 7578, 8978, 16247, 2288, 3215, 2288, 5296, 12984, 7649, 10632, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 7251, 3794, 2407, 7578, 2423, 376, 8978, 426], "avg_logprob": -0.3552631720116264, "compression_ratio": 1.4689265536723164, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 130.22, "end": 131.18, "word": "الأردر", "probability": 0.50654296875}, {"start": 131.18, "end": 131.64, "word": " للـ", "probability": 0.5228271484375}, {"start": 131.64, "end": 131.82, "word": " G", "probability": 0.6240234375}, {"start": 131.82, "end": 132.48, "word": " External", "probability": 0.07861328125}, {"start": 132.48, "end": 133.14, "word": " Hierarchical", "probability": 0.67578125}, {"start": 133.14, "end": 133.7, "word": " Product", "probability": 0.91943359375}, {"start": 133.7, "end": 134.46, "word": " مع", "probability": 0.84619140625}, {"start": 134.46, "end": 134.98, "word": " H", "probability": 0.845703125}, {"start": 134.98, "end": 135.82, "word": " كده", "probability": 0.5470377604166666}, {"start": 135.82, "end": 136.38, "word": " يسوى", "probability": 0.447021484375}, {"start": 136.38, "end": 136.6, "word": " هذا", "probability": 0.685546875}, {"start": 136.6, "end": 136.72, "word": " يا", "probability": 0.54931640625}, {"start": 136.72, "end": 137.12, "word": " شباب", "probability": 0.9778645833333334}, {"start": 137.12, "end": 138.08, "word": " مكتوب", "probability": 0.81488037109375}, {"start": 138.08, "end": 138.46, "word": " معاكم", "probability": 0.9060872395833334}, {"start": 138.46, "end": 138.62, "word": " من", "probability": 0.85400390625}, {"start": 138.62, "end": 138.9, "word": " المرة", "probability": 0.968505859375}, {"start": 138.9, "end": 139.08, "word": " اللي", "probability": 0.7763671875}, {"start": 139.08, "end": 139.48, "word": " فاتت", "probability": 0.9718424479166666}, {"start": 139.48, "end": 140.04, "word": " الأردر", "probability": 0.84027099609375}, {"start": 140.04, "end": 140.58, "word": " للأولى", "probability": 0.8812255859375}, {"start": 140.58, "end": 140.66, "word": " في", "probability": 0.837890625}, {"start": 140.66, "end": 141.4, "word": " الأردر", "probability": 0.8526611328125}, {"start": 141.4, "end": 142.8, "word": " لثانية", "probability": 0.8194580078125}, {"start": 142.8, "end": 143.68, "word": " يبقى", "probability": 0.966552734375}, {"start": 143.68, "end": 144.0, "word": " هذا", "probability": 0.94287109375}, {"start": 144.0, "end": 144.72, "word": " الكلام", "probability": 0.9597981770833334}, {"start": 144.72, "end": 145.8, "word": " يسوى", "probability": 0.68878173828125}, {"start": 145.8, "end": 145.94, "word": " ال", "probability": 0.4638671875}, {"start": 145.94, "end": 146.4, "word": " M", "probability": 0.58935546875}, {"start": 146.4, "end": 146.8, "word": " في", "probability": 0.8466796875}, {"start": 146.8, "end": 147.3, "word": " N", "probability": 0.95166015625}], "temperature": 1.0}, {"id": 6, "seek": 16950, "start": 148.48, "end": 169.5, "text": "هذه المعلومة حطيتها قبل المبدأ و الأن بدي أبدأ لإيش حطيتها؟ لأن كل شغل بالحب هو لازمانه الأن بدنا نقول Assume that الـG external product مع الـH is cyclic", "tokens": [3224, 24192, 9673, 30241, 20498, 3660, 11331, 9566, 36081, 11296, 12174, 36150, 9673, 44510, 10721, 4032, 16247, 1863, 4724, 16254, 5551, 44510, 10721, 5296, 28814, 1829, 8592, 11331, 9566, 36081, 11296, 22807, 5296, 33456, 28242, 13412, 17082, 1211, 20666, 5016, 3555, 31439, 5296, 31377, 2304, 7649, 3224, 16247, 1863, 47525, 8315, 8717, 39648, 6281, 2540, 300, 2423, 39184, 38, 8320, 1674, 20449, 2423, 39184, 39, 307, 38154, 1050], "avg_logprob": -0.4454257125439851, "compression_ratio": 1.416184971098266, "no_speech_prob": 0.0, "words": [{"start": 148.48, "end": 148.88, "word": "هذه", "probability": 0.861328125}, {"start": 148.88, "end": 149.54, "word": " المعلومة", "probability": 0.933349609375}, {"start": 149.54, "end": 150.4, "word": " حطيتها", "probability": 0.65399169921875}, {"start": 150.4, "end": 151.32, "word": " قبل", "probability": 0.845947265625}, {"start": 151.32, "end": 151.84, "word": " المبدأ", "probability": 0.8460286458333334}, {"start": 151.84, "end": 151.94, "word": " و", "probability": 0.48828125}, {"start": 151.94, "end": 152.26, "word": " الأن", "probability": 0.6295166015625}, {"start": 152.26, "end": 152.6, "word": " بدي", "probability": 0.5699462890625}, {"start": 152.6, "end": 153.02, "word": " أبدأ", "probability": 0.8828125}, {"start": 153.02, "end": 153.76, "word": " لإيش", "probability": 0.528778076171875}, {"start": 153.76, "end": 154.42, "word": " حطيتها؟", "probability": 0.8587890625}, {"start": 154.42, "end": 154.74, "word": " لأن", "probability": 0.850341796875}, {"start": 154.74, "end": 155.32, "word": " كل", "probability": 0.92822265625}, {"start": 155.32, "end": 155.7, "word": " شغل", "probability": 0.6770833333333334}, {"start": 155.7, "end": 156.2, "word": " بالحب", "probability": 0.89306640625}, {"start": 156.2, "end": 156.38, "word": " هو", "probability": 0.564453125}, {"start": 156.38, "end": 157.2, "word": " لازمانه", "probability": 0.7029296875}, {"start": 157.2, "end": 158.08, "word": " الأن", "probability": 0.639892578125}, {"start": 158.08, "end": 158.36, "word": " بدنا", "probability": 0.490966796875}, {"start": 158.36, "end": 158.9, "word": " نقول", "probability": 0.799072265625}, {"start": 158.9, "end": 160.36, "word": " Assume", "probability": 0.5762939453125}, {"start": 160.36, "end": 162.94, "word": " that", "probability": 0.65380859375}, {"start": 162.94, "end": 164.78, "word": " الـG", "probability": 0.433349609375}, {"start": 164.78, "end": 165.68, "word": " external", "probability": 0.2744140625}, {"start": 165.68, "end": 166.12, "word": " product", "probability": 0.26025390625}, {"start": 166.12, "end": 166.98, "word": " مع", "probability": 0.348388671875}, {"start": 166.98, "end": 167.44, "word": " الـH", "probability": 0.8069661458333334}, {"start": 167.44, "end": 168.4, "word": " is", "probability": 0.479248046875}, {"start": 168.4, "end": 169.5, "word": " cyclic", "probability": 0.827392578125}], "temperature": 1.0}, {"id": 7, "seek": 19460, "start": 171.08, "end": 194.6, "text": "ماذا أريد أن أثبت؟ أن الـ order اللي جي و ال order اللي اتش اتنين are relatively prime يعني أريد أن أثبت أن ال Euclides common divisor ما بين الاتنين سيكون كم؟ سيكون واحد، صحيح طب افترضنا هذه Cyclic مدام الـ Cyclic يبقى لها generator صح ولا لا؟ يبقى Cyclic assume", "tokens": [2304, 45636, 995, 5551, 16572, 3215, 14739, 5551, 12984, 3555, 2655, 22807, 14739, 2423, 39184, 1668, 13672, 1829, 10874, 1829, 4032, 2423, 1668, 13672, 1829, 1975, 2655, 8592, 1975, 2655, 1863, 9957, 366, 7226, 5835, 37495, 22653, 5551, 16572, 3215, 14739, 5551, 12984, 3555, 2655, 14739, 2423, 462, 1311, 75, 1875, 2689, 25974, 284, 19446, 49374, 2423, 9307, 1863, 9957, 8608, 1829, 30544, 9122, 2304, 22807, 8608, 1829, 30544, 36764, 24401, 12399, 20328, 5016, 1829, 5016, 23032, 3555, 1975, 5172, 2655, 43042, 8315, 29538, 10295, 66, 1050, 3714, 3215, 10943, 2423, 39184, 10295, 66, 1050, 7251, 3555, 4587, 7578, 5296, 11296, 19265, 20328, 5016, 49429, 20193, 22807, 7251, 3555, 4587, 7578, 10295, 66, 1050, 6552], "avg_logprob": -0.3634159369715329, "compression_ratio": 1.6485355648535565, "no_speech_prob": 0.0, "words": [{"start": 171.08, "end": 171.42, "word": "ماذا", "probability": 0.7110188802083334}, {"start": 171.42, "end": 171.66, "word": " أريد", "probability": 0.53076171875}, {"start": 171.66, "end": 171.74, "word": " أن", "probability": 0.671875}, {"start": 171.74, "end": 172.48, "word": " أثبت؟", "probability": 0.848681640625}, {"start": 172.48, "end": 173.34, "word": " أن", "probability": 0.3984375}, {"start": 173.34, "end": 173.52, "word": " الـ", "probability": 0.361572265625}, {"start": 173.52, "end": 173.86, "word": " order", "probability": 0.7216796875}, {"start": 173.86, "end": 174.12, "word": " اللي", "probability": 0.473297119140625}, {"start": 174.12, "end": 174.3, "word": " جي", "probability": 0.688232421875}, {"start": 174.3, "end": 174.4, "word": " و", "probability": 0.4560546875}, {"start": 174.4, "end": 174.54, "word": " ال", "probability": 0.74658203125}, {"start": 174.54, "end": 174.82, "word": " order", "probability": 0.89306640625}, {"start": 174.82, "end": 175.04, "word": " اللي", "probability": 0.78515625}, {"start": 175.04, "end": 175.42, "word": " اتش", "probability": 0.7021077473958334}, {"start": 175.42, "end": 175.9, "word": " اتنين", "probability": 0.8955078125}, {"start": 175.9, "end": 176.26, "word": " are", "probability": 0.68994140625}, {"start": 176.26, "end": 177.04, "word": " relatively", "probability": 0.51708984375}, {"start": 177.04, "end": 177.68, "word": " prime", "probability": 0.92333984375}, {"start": 177.68, "end": 178.56, "word": " يعني", "probability": 0.846435546875}, {"start": 178.56, "end": 178.78, "word": " أريد", "probability": 0.8741861979166666}, {"start": 178.78, "end": 178.92, "word": " أن", "probability": 0.7314453125}, {"start": 178.92, "end": 179.18, "word": " أثبت", "probability": 0.9859619140625}, {"start": 179.18, "end": 179.3, "word": " أن", "probability": 0.55859375}, {"start": 179.3, "end": 179.4, "word": " ال", "probability": 0.454833984375}, {"start": 179.4, "end": 179.76, "word": " Euclides", "probability": 0.41764068603515625}, {"start": 179.76, "end": 180.24, "word": " common", "probability": 0.391845703125}, {"start": 180.24, "end": 181.1, "word": " divisor", "probability": 0.96923828125}, {"start": 181.1, "end": 181.3, "word": " ما", "probability": 0.70703125}, {"start": 181.3, "end": 181.52, "word": " بين", "probability": 0.99560546875}, {"start": 181.52, "end": 181.88, "word": " الاتنين", "probability": 0.788330078125}, {"start": 181.88, "end": 182.32, "word": " سيكون", "probability": 0.5819498697916666}, {"start": 182.32, "end": 183.04, "word": " كم؟", "probability": 0.5193684895833334}, {"start": 183.04, "end": 183.72, "word": " سيكون", "probability": 0.9375}, {"start": 183.72, "end": 184.14, "word": " واحد،", "probability": 0.745849609375}, {"start": 184.14, "end": 184.52, "word": " صحيح", "probability": 0.979248046875}, {"start": 184.52, "end": 185.12, "word": " طب", "probability": 0.835205078125}, {"start": 185.12, "end": 185.68, "word": " افترضنا", "probability": 0.94521484375}, {"start": 185.68, "end": 185.92, "word": " هذه", "probability": 0.5205078125}, {"start": 185.92, "end": 186.56, "word": " Cyclic", "probability": 0.7068684895833334}, {"start": 186.56, "end": 187.08, "word": " مدام", "probability": 0.619140625}, {"start": 187.08, "end": 187.54, "word": " الـ", "probability": 0.5419921875}, {"start": 187.54, "end": 187.82, "word": " Cyclic", "probability": 0.837890625}, {"start": 187.82, "end": 188.14, "word": " يبقى", "probability": 0.955322265625}, {"start": 188.14, "end": 188.34, "word": " لها", "probability": 0.7264404296875}, {"start": 188.34, "end": 188.92, "word": " generator", "probability": 0.85595703125}, {"start": 188.92, "end": 189.86, "word": " صح", "probability": 0.91259765625}, {"start": 189.86, "end": 190.04, "word": " ولا", "probability": 0.9580078125}, {"start": 190.04, "end": 190.82, "word": " لا؟", "probability": 0.76025390625}, {"start": 190.82, "end": 191.66, "word": " يبقى", "probability": 0.95068359375}, {"start": 191.66, "end": 192.72, "word": " Cyclic", "probability": 0.9002278645833334}, {"start": 192.72, "end": 194.6, "word": " assume", "probability": 0.521484375}], "temperature": 1.0}, {"id": 8, "seek": 21387, "start": 195.77, "end": 213.87, "text": "أفترض كذلك إن الـ G والـ H is a generator is a generator for اللي هو external product للـ H مع G", "tokens": [10721, 5172, 2655, 43042, 9122, 8848, 23275, 36145, 2423, 39184, 460, 16070, 39184, 389, 307, 257, 19265, 307, 257, 19265, 337, 13672, 1829, 31439, 8320, 1674, 24976, 39184, 389, 20449, 460], "avg_logprob": -0.33496093563735485, "compression_ratio": 1.179245283018868, "no_speech_prob": 0.0, "words": [{"start": 195.77, "end": 196.57, "word": "أفترض", "probability": 0.8126220703125}, {"start": 196.57, "end": 197.29, "word": " كذلك", "probability": 0.9685872395833334}, {"start": 197.29, "end": 198.01, "word": " إن", "probability": 0.299072265625}, {"start": 198.01, "end": 198.33, "word": " الـ", "probability": 0.862548828125}, {"start": 198.33, "end": 198.59, "word": " G", "probability": 0.453369140625}, {"start": 198.59, "end": 199.65, "word": " والـ", "probability": 0.67724609375}, {"start": 199.65, "end": 200.01, "word": " H", "probability": 0.81005859375}, {"start": 200.01, "end": 201.15, "word": " is", "probability": 0.402587890625}, {"start": 201.15, "end": 202.39, "word": " a", "probability": 0.86083984375}, {"start": 202.39, "end": 203.07, "word": " generator", "probability": 0.95361328125}, {"start": 203.07, "end": 204.41, "word": " is", "probability": 0.37109375}, {"start": 204.41, "end": 205.37, "word": " a", "probability": 0.9326171875}, {"start": 205.37, "end": 206.93, "word": " generator", "probability": 0.962890625}, {"start": 206.93, "end": 208.63, "word": " for", "probability": 0.9609375}, {"start": 208.63, "end": 209.45, "word": " اللي", "probability": 0.890380859375}, {"start": 209.45, "end": 209.75, "word": " هو", "probability": 0.99169921875}, {"start": 209.75, "end": 210.91, "word": " external", "probability": 0.1826171875}, {"start": 210.91, "end": 211.79, "word": " product", "probability": 0.6240234375}, {"start": 211.79, "end": 212.91, "word": " للـ", "probability": 0.72607421875}, {"start": 212.91, "end": 213.21, "word": " H", "probability": 0.70361328125}, {"start": 213.21, "end": 213.55, "word": " مع", "probability": 0.9873046875}, {"start": 213.55, "end": 213.87, "word": " G", "probability": 0.69482421875}], "temperature": 1.0}, {"id": 9, "seek": 24388, "start": 214.7, "end": 243.88, "text": "ما دام هذا generator يبقى ال order اللي بده يساوي منين ال order لل G موديل لل G external direct product مع H هذا معناه ان ال order لل G والH بده يساوي ال order لل G external direct product مع من؟ مع ال H هذا بده يعطيني طيب ال order لل G", "tokens": [15042, 11778, 10943, 23758, 19265, 7251, 3555, 4587, 7578, 2423, 1668, 13672, 1829, 47525, 3224, 7251, 3794, 995, 45865, 9154, 9957, 2423, 1668, 24976, 460, 3714, 2407, 16254, 1211, 24976, 460, 8320, 2047, 1674, 20449, 389, 23758, 20449, 8315, 3224, 16472, 2423, 1668, 24976, 460, 16070, 39, 47525, 3224, 7251, 3794, 995, 45865, 2423, 1668, 24976, 460, 8320, 2047, 1674, 20449, 9154, 22807, 20449, 2423, 389, 23758, 47525, 3224, 37495, 9566, 9957, 1829, 23032, 1829, 3555, 2423, 1668, 24976, 460], "avg_logprob": -0.331983036465115, "compression_ratio": 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0.65087890625}, {"start": 219.64, "end": 220.18, "word": " order", "probability": 0.93408203125}, {"start": 220.18, "end": 220.78, "word": " لل", "probability": 0.456298828125}, {"start": 220.78, "end": 221.16, "word": " G", "probability": 0.39404296875}, {"start": 221.16, "end": 222.12, "word": " موديل", "probability": 0.5682373046875}, {"start": 222.12, "end": 222.36, "word": " لل", "probability": 0.4658203125}, {"start": 222.36, "end": 222.78, "word": " G", "probability": 0.90234375}, {"start": 222.78, "end": 223.58, "word": " external", "probability": 0.62841796875}, {"start": 223.58, "end": 223.86, "word": " direct", "probability": 0.34375}, {"start": 223.86, "end": 224.36, "word": " product", "probability": 0.96923828125}, {"start": 224.36, "end": 224.72, "word": " مع", "probability": 0.95849609375}, {"start": 224.72, "end": 225.04, "word": " H", "probability": 0.7001953125}, {"start": 225.04, "end": 225.84, "word": " هذا", "probability": 0.87646484375}, {"start": 225.84, "end": 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{"start": 233.6, "end": 234.6, "word": " external", "probability": 0.875}, {"start": 234.6, "end": 235.12, "word": " direct", "probability": 0.8955078125}, {"start": 235.12, "end": 235.62, "word": " product", "probability": 0.958984375}, {"start": 235.62, "end": 235.88, "word": " مع", "probability": 0.9873046875}, {"start": 235.88, "end": 236.6, "word": " من؟", "probability": 0.4229736328125}, {"start": 236.6, "end": 237.12, "word": " مع", "probability": 0.97021484375}, {"start": 237.12, "end": 237.4, "word": " ال", "probability": 0.970703125}, {"start": 237.4, "end": 237.8, "word": " H", "probability": 0.9814453125}, {"start": 237.8, "end": 238.66, "word": " هذا", "probability": 0.8486328125}, {"start": 238.66, "end": 239.1, "word": " بده", "probability": 0.88525390625}, {"start": 239.1, "end": 239.76, "word": " يعطيني", "probability": 0.7569580078125}, {"start": 239.76, "end": 241.3, "word": " طيب", "probability": 0.9337565104166666}, {"start": 241.3, "end": 242.04, "word": " ال", 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260.01, "end": 260.73, "word": " وال", "probability": 0.5751953125}, {"start": 260.73, "end": 261.27, "word": " order", "probability": 0.8955078125}, {"start": 261.27, "end": 261.71, "word": " تبع", "probability": 0.9768880208333334}, {"start": 261.71, "end": 261.87, "word": " ال", "probability": 0.98095703125}, {"start": 261.87, "end": 262.13, "word": " H", "probability": 0.98876953125}, {"start": 262.13, "end": 262.65, "word": " بالشكل", "probability": 0.93701171875}, {"start": 262.65, "end": 262.79, "word": " اللي", "probability": 0.931640625}, {"start": 262.79, "end": 263.05, "word": " عندنا", "probability": 0.876708984375}, {"start": 263.05, "end": 263.33, "word": " هذا", "probability": 0.87109375}, {"start": 263.33, "end": 264.01, "word": " اللي", "probability": 0.9521484375}, {"start": 264.01, "end": 264.15, "word": " هو", "probability": 0.97021484375}, {"start": 264.15, "end": 264.47, "word": " بدي", "probability": 0.94287109375}, {"start": 264.47, "end": 264.95, "word": " 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n خلي هذه المعلومة في دماغك و هنرجعلها بعد قليل طيب الآن", "tokens": [1829, 3555, 4587, 7578, 41850, 4724, 39648, 2423, 1668, 24976, 4478, 23758, 4724, 1829, 3794, 995, 45865, 2423, 1668, 24976, 4478, 29538, 4724, 1829, 3555, 4587, 7578, 44945, 16606, 47356, 2423, 1668, 24976, 4478, 290, 4032, 276, 4724, 1829, 3794, 995, 45865, 2423, 1935, 2689, 3866, 19446, 49374, 2423, 732, 9470, 23032, 3555, 4587, 995, 24976, 1863, 19913, 2288, 10632, 21136, 16758, 28671, 13672, 1829, 4724, 2288, 3224, 1863, 8315, 11296, 23032, 1829, 3555, 23758, 2423, 1668, 31439, 6225, 3555, 9640, 3660, 18871, 3714, 9957, 22807, 18871, 275, 8978, 297, 16490, 20292, 29538, 9673, 30241, 20498, 3660, 8978, 11778, 2304, 5718, 118, 4117, 4032, 8032, 1863, 47341, 30241, 11296, 39182, 12174, 20292, 1211, 23032, 1829, 3555, 6024, 48506], "avg_logprob": -0.21966911789749852, "compression_ratio": 1.8930041152263375, "no_speech_prob": 0.0, "words": [{"start": 271.38, "end": 271.84, "word": "يبقى", "probability": 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{"start": 286.36, "end": 287.04, "word": " برهنناها", "probability": 0.8470865885416666}, {"start": 287.04, "end": 287.7, "word": " طيب", "probability": 0.9295247395833334}, {"start": 287.7, "end": 288.3, "word": " هذا", "probability": 0.931640625}, {"start": 288.3, "end": 288.52, "word": " ال", "probability": 0.9912109375}, {"start": 288.52, "end": 288.92, "word": " order", "probability": 0.97412109375}, {"start": 288.92, "end": 289.2, "word": " هو", "probability": 0.953125}, {"start": 289.2, "end": 289.56, "word": " عبارة", "probability": 0.9906005859375}, {"start": 289.56, "end": 289.78, "word": " عن", "probability": 0.97509765625}, {"start": 289.78, "end": 290.36, "word": " مين؟", "probability": 0.7482096354166666}, {"start": 290.36, "end": 290.6, "word": " عن", "probability": 0.953125}, {"start": 290.6, "end": 291.08, "word": " m", "probability": 0.6220703125}, {"start": 291.08, "end": 291.34, "word": " في", "probability": 0.89892578125}, {"start": 291.34, "end": 291.7, "word": " n", "probability": 0.93310546875}, {"start": 291.7, "end": 292.52, "word": " خلي", "probability": 0.6446533203125}, {"start": 292.52, "end": 292.66, "word": " هذه", "probability": 0.421630859375}, {"start": 292.66, "end": 293.16, "word": " المعلومة", "probability": 0.9888916015625}, {"start": 293.16, "end": 293.46, "word": " في", "probability": 0.8515625}, {"start": 293.46, "end": 294.06, "word": " دماغك", "probability": 0.92099609375}, {"start": 294.06, "end": 294.52, "word": " و", "probability": 0.93701171875}, {"start": 294.52, "end": 295.58, "word": " هنرجعلها", "probability": 0.80546875}, {"start": 295.58, "end": 296.02, "word": " بعد", "probability": 0.939453125}, {"start": 296.02, "end": 297.02, "word": " قليل", "probability": 0.9939778645833334}, {"start": 297.02, "end": 297.54, "word": " طيب", "probability": 0.9441731770833334}, {"start": 297.54, "end": 297.96, "word": " الآن", "probability": 0.7041015625}], "temperature": 1.0}, {"id": 12, "seek": 31626, "start": 300.1, "end": 316.26, "text": "الـ order للـ G ال order للـ G يقسم ال order للـ G كبتار صح ولا لا يبقى divide ال order للـ G اللي هو بدي ساوي قداش", "tokens": [6027, 39184, 1668, 24976, 39184, 460, 2423, 1668, 24976, 39184, 460, 7251, 4587, 38251, 2423, 1668, 24976, 39184, 460, 9122, 3555, 2655, 9640, 20328, 5016, 49429, 20193, 7251, 3555, 4587, 7578, 9845, 2423, 1668, 24976, 39184, 460, 13672, 1829, 31439, 4724, 16254, 8608, 995, 45865, 12174, 3215, 33599], "avg_logprob": -0.4317602138130032, "compression_ratio": 1.6320754716981132, "no_speech_prob": 0.0, "words": [{"start": 300.1, "end": 300.54, "word": "الـ", "probability": 0.22857666015625}, {"start": 300.54, "end": 301.04, "word": " order", "probability": 0.607421875}, {"start": 301.04, "end": 301.64, "word": " للـ", "probability": 0.61669921875}, {"start": 301.64, "end": 301.84, "word": " G", "probability": 0.67431640625}, {"start": 301.84, "end": 303.14, "word": " ال", "probability": 0.20068359375}, {"start": 303.14, "end": 303.58, "word": " 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يقسم ال order ل من ل ال H اللي هو بده يساوي ال N إذا ما هو علاقة least common multiple لل two orders مع M و N", "tokens": [44, 37495, 22653, 2423, 1668, 13672, 1829, 10874, 1829, 3224, 47525, 3224, 7251, 4587, 38251, 9154, 2423, 376, 4032, 41185, 8717, 36178, 2423, 30543, 2655, 2423, 1668, 5296, 2423, 389, 47525, 3224, 7251, 4587, 38251, 9154, 47525, 3224, 7251, 4587, 38251, 2423, 1668, 5296, 9154, 5296, 2423, 389, 13672, 1829, 31439, 47525, 3224, 7251, 3794, 995, 45865, 2423, 426, 11933, 15730, 19446, 31439, 11203, 995, 28671, 1935, 2689, 3866, 24976, 732, 9470, 20449, 376, 4032, 426], "avg_logprob": -0.224431815085473, "compression_ratio": 1.7396449704142012, "no_speech_prob": 0.0, "words": [{"start": 316.91, "end": 317.39, "word": "M", "probability": 0.1143798828125}, {"start": 317.39, "end": 318.51, "word": " يعني", "probability": 0.82958984375}, {"start": 318.51, "end": 318.71, "word": " ال", "probability": 0.310302734375}, {"start": 318.71, "end": 318.99, "word": " order", 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358.16, "end": 358.56, "word": " لمية", "probability": 0.7329915364583334}, {"start": 358.56, "end": 359.2, "word": " اصغر", "probability": 0.9169921875}, {"start": 359.2, "end": 359.36, "word": " من", "probability": 0.966796875}, {"start": 359.36, "end": 359.88, "word": " من؟", "probability": 0.63916015625}], "temperature": 1.0}, {"id": 15, "seek": 38754, "start": 360.6, "end": 387.54, "text": "من ال least common multiple لل M و N تمام؟ يبقى هذا يطيء لكمين؟ ان ال least common multiple لل order تبع ال G وال order تبع ال H هذا كله ماله أقل من أو يساوي ال least common multiple لل M و N", "tokens": [27842, 2423, 1935, 2689, 3866, 24976, 376, 4032, 426, 46811, 10943, 22807, 7251, 3555, 4587, 7578, 23758, 7251, 9566, 1829, 38207, 5296, 24793, 9957, 22807, 16472, 2423, 1935, 2689, 3866, 24976, 1668, 6055, 3555, 3615, 2423, 460, 16070, 1668, 6055, 3555, 3615, 2423, 389, 23758, 28242, 3224, 3714, 6027, 3224, 5551, 4587, 1211, 9154, 34051, 7251, 3794, 995, 45865, 2423, 1935, 2689, 3866, 24976, 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{"start": 365.64, "end": 366.04, "word": " هذا", "probability": 0.94775390625}, {"start": 366.04, "end": 366.84, "word": " يطيء", "probability": 0.53167724609375}, {"start": 366.84, "end": 367.98, "word": " لكمين؟", "probability": 0.57952880859375}, {"start": 367.98, "end": 368.44, "word": " ان", "probability": 0.70361328125}, {"start": 368.44, "end": 368.7, "word": " ال", "probability": 0.7685546875}, {"start": 368.7, "end": 369.16, "word": " least", "probability": 0.96044921875}, {"start": 369.16, "end": 369.84, "word": " common", "probability": 0.9453125}, {"start": 369.84, "end": 370.64, "word": " multiple", "probability": 0.8916015625}, {"start": 370.64, "end": 371.48, "word": " لل", "probability": 0.923828125}, {"start": 371.48, "end": 372.06, "word": " order", "probability": 0.923828125}, {"start": 372.06, "end": 372.58, "word": " تبع", "probability": 0.9319661458333334}, {"start": 372.58, "end": 372.84, "word": " ال", "probability": 0.84619140625}, {"start": 372.84, "end": 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"end": 1215.52, "word": " النظرية", "probability": 0.971435546875}, {"start": 1215.52, "end": 1216.34, "word": " صحيح", "probability": 0.9906005859375}, {"start": 1216.34, "end": 1216.9, "word": " عليهم", "probability": 0.9638671875}, {"start": 1216.9, "end": 1217.5, "word": " وهي", "probability": 0.884521484375}, {"start": 1217.5, "end": 1217.7, "word": " هذه", "probability": 0.953125}, {"start": 1217.7, "end": 1218.34, "word": " النتيجة", "probability": 0.9462890625}, {"start": 1218.34, "end": 1218.98, "word": " رقم", "probability": 0.9944661458333334}, {"start": 1218.98, "end": 1219.6, "word": " واحد", "probability": 0.924560546875}, {"start": 1219.6, "end": 1220.4, "word": " الا", "probability": 0.2225341796875}, {"start": 1220.4, "end": 1221.0, "word": " للنتيجة", "probability": 0.8818359375}, {"start": 1221.0, "end": 1221.4, "word": " رقم", "probability": 0.9905598958333334}, {"start": 1221.4, "end": 1221.7, "word": " اتنين", "probability": 0.965576171875}, {"start": 1221.7, "end": 1222.0, "word": " بيقول", "probability": 0.89501953125}, {"start": 1222.0, "end": 1222.26, "word": " لو", "probability": 0.9248046875}, {"start": 1222.26, "end": 1222.7, "word": " عندك", "probability": 0.99169921875}, {"start": 1222.7, "end": 1223.46, "word": " رقم", "probability": 0.8653971354166666}, {"start": 1223.46, "end": 1223.86, "word": " M", "probability": 0.7744140625}, {"start": 1223.86, "end": 1225.3, "word": " حللته", "probability": 0.856689453125}, {"start": 1225.3, "end": 1225.64, "word": " إلى", "probability": 0.5107421875}, {"start": 1225.64, "end": 1226.36, "word": " حاصل", "probability": 0.90234375}, {"start": 1226.36, "end": 1226.74, "word": " ضرب", "probability": 0.99365234375}, {"start": 1226.74, "end": 1227.38, "word": " أعداد", "probability": 0.87255859375}, {"start": 1227.38, "end": 1227.78, "word": " زي", "probability": 0.920654296875}, {"start": 1227.78, "end": 1228.06, "word": " ايش", "probability": 0.873046875}, {"start": 1228.06, "end": 1228.5, "word": " مثلا", "probability": 0.990234375}, {"start": 1228.5, "end": 1229.24, "word": " زي", "probability": 0.908447265625}, {"start": 1229.24, "end": 1229.84, "word": " تلاتين", "probability": 0.9468994140625}], "temperature": 1.0}, {"id": 49, "seek": 124582, "start": 1230.24, "end": 1245.82, "text": "تلاتين بقدر اقول اتنين في تلاتة في خمسة يبقى هاي حلته لحاصل ضرب ثلاثة اعداد والثلاثة اعداد ما لهم؟ Primes اتنين والتلاتة والخمسة are primes ايش بقول هنا؟", "tokens": [2655, 1211, 9307, 9957, 4724, 28543, 2288, 1975, 39648, 1975, 2655, 1863, 9957, 8978, 6055, 1211, 9307, 3660, 8978, 16490, 2304, 3794, 3660, 7251, 3555, 4587, 7578, 8032, 47302, 11331, 1211, 47395, 5296, 5016, 33546, 1211, 48812, 25513, 38637, 1211, 5718, 104, 3660, 1975, 22488, 18513, 16070, 12984, 1211, 5718, 104, 3660, 1975, 22488, 18513, 19446, 5296, 16095, 22807, 19671, 279, 1975, 2655, 1863, 9957, 16070, 2655, 1211, 9307, 3660, 16070, 9778, 2304, 3794, 3660, 366, 2886, 279, 1975, 1829, 8592, 4724, 39648, 34105, 22807], "avg_logprob": -0.24382268013649208, "compression_ratio": 1.6708860759493671, "no_speech_prob": 1.9669532775878906e-06, "words": [{"start": 1230.24, "end": 1231.32, "word": "تلاتين", "probability": 0.7342987060546875}, {"start": 1231.32, "end": 1231.92, "word": " بقدر", "probability": 0.5414225260416666}, {"start": 1231.92, "end": 1232.1, "word": " اقول", "probability": 0.6826171875}, {"start": 1232.1, "end": 1232.78, "word": " اتنين", "probability": 0.9462890625}, {"start": 1232.78, "end": 1233.1, "word": " في", "probability": 0.53369140625}, {"start": 1233.1, "end": 1233.7, "word": " تلاتة", "probability": 0.957275390625}, {"start": 1233.7, "end": 1233.86, "word": " في", "probability": 0.9501953125}, {"start": 1233.86, "end": 1234.54, "word": " خمسة", "probability": 0.9835205078125}, {"start": 1234.54, "end": 1235.28, "word": " يبقى", "probability": 0.894287109375}, {"start": 1235.28, "end": 1235.44, "word": " هاي", "probability": 0.5340576171875}, {"start": 1235.44, "end": 1235.96, "word": " حلته", "probability": 0.9293619791666666}, {"start": 1235.96, "end": 1236.72, "word": " لحاصل", "probability": 0.7352294921875}, {"start": 1236.72, "end": 1237.12, "word": " ضرب", "probability": 0.984619140625}, {"start": 1237.12, "end": 1238.26, "word": " ثلاثة", "probability": 0.96064453125}, {"start": 1238.26, "end": 1238.78, "word": " اعداد", "probability": 0.8717447916666666}, {"start": 1238.78, "end": 1239.74, "word": " والثلاثة", "probability": 0.8711751302083334}, {"start": 1239.74, "end": 1240.12, "word": " اعداد", "probability": 0.9615885416666666}, {"start": 1240.12, "end": 1240.34, "word": " ما", "probability": 0.6611328125}, {"start": 1240.34, "end": 1240.78, "word": " لهم؟", "probability": 0.6272786458333334}, {"start": 1240.78, "end": 1242.04, "word": " Primes", "probability": 0.4439697265625}, {"start": 1242.04, "end": 1242.88, "word": " اتنين", "probability": 0.9302978515625}, {"start": 1242.88, "end": 1243.48, "word": " والتلاتة", "probability": 0.92734375}, {"start": 1243.48, "end": 1244.12, "word": " والخمسة", "probability": 0.96904296875}, {"start": 1244.12, "end": 1244.28, "word": " are", "probability": 0.6162109375}, {"start": 1244.28, "end": 1244.78, "word": " primes", "probability": 0.6552734375}, {"start": 1244.78, "end": 1244.96, "word": " ايش", "probability": 0.8033854166666666}, {"start": 1244.96, "end": 1245.24, "word": " بقول", "probability": 0.87060546875}, {"start": 1245.24, "end": 1245.82, "word": " هنا؟", "probability": 0.92333984375}], "temperature": 1.0}, {"id": 50, "seek": 127350, "start": 1246.42, "end": 1273.5, "text": "لو حللت ال M لحاصل ضرب أعداد يبقى ZM isomorphic ل ZN1, ZN2, ZN3, ZNK, F and only F كل عدد من هذه الأعداد are relatively prime مع بعضهم البعض يعني ليس بالضرورة أن يكونوا primes وإنما يكونوا relatively primes", "tokens": [1211, 2407, 11331, 1211, 1211, 2655, 2423, 376, 5296, 5016, 33546, 1211, 48812, 25513, 5551, 22488, 18513, 7251, 3555, 4587, 7578, 1176, 44, 307, 32702, 299, 5296, 1176, 45, 16, 11, 1176, 45, 17, 11, 1176, 45, 18, 11, 1176, 45, 42, 11, 479, 293, 787, 479, 28242, 6225, 3215, 3215, 9154, 29538, 16247, 22488, 18513, 366, 7226, 5835, 20449, 45030, 11242, 16095, 29739, 3615, 11242, 37495, 22653, 32239, 3794, 20666, 11242, 2288, 13063, 3660, 14739, 7251, 30544, 14407, 2886, 279, 4032, 28814, 1863, 15042, 7251, 30544, 14407, 7226, 2886, 279], "avg_logprob": -0.20618206213997758, "compression_ratio": 1.4603960396039604, "no_speech_prob": 0.0, "words": [{"start": 1246.42, "end": 1246.78, "word": "لو", "probability": 0.83740234375}, {"start": 1246.78, "end": 1247.34, "word": " حللت", "probability": 0.9083251953125}, {"start": 1247.34, "end": 1247.48, "word": " ال", "probability": 0.75244140625}, {"start": 1247.48, "end": 1247.68, "word": " M", "probability": 0.306884765625}, {"start": 1247.68, "end": 1248.5, "word": " لحاصل", "probability": 0.8326416015625}, {"start": 1248.5, "end": 1248.82, "word": " ضرب", "probability": 0.9658203125}, {"start": 1248.82, "end": 1249.48, "word": " أعداد", "probability": 0.9140625}, {"start": 1249.48, "end": 1250.74, "word": " يبقى", "probability": 0.9609375}, {"start": 1250.74, "end": 1252.06, "word": " ZM", "probability": 0.593994140625}, {"start": 1252.06, "end": 1253.4, "word": " isomorphic", "probability": 0.8375651041666666}, {"start": 1253.4, "end": 1253.54, "word": " ل", "probability": 0.94580078125}, {"start": 1253.54, "end": 1254.42, "word": " ZN1,", "probability": 0.7819010416666666}, {"start": 1254.64, "end": 1255.5, "word": " ZN2,", "probability": 0.91357421875}, {"start": 1255.7, "end": 1256.5, "word": " ZN3,", "probability": 0.9791666666666666}, {"start": 1257.06, "end": 1258.14, "word": " ZNK,", "probability": 0.8880208333333334}, {"start": 1258.4, "end": 1259.26, "word": " F", "probability": 0.40673828125}, {"start": 1259.26, "end": 1259.56, "word": " and", "probability": 0.6904296875}, {"start": 1259.56, "end": 1259.94, "word": " only", "probability": 0.60302734375}, {"start": 1259.94, "end": 1260.3, "word": " F", "probability": 0.9208984375}, {"start": 1260.3, "end": 1261.14, "word": " كل", "probability": 0.7578125}, {"start": 1261.14, "end": 1261.72, "word": " عدد", "probability": 0.98193359375}, {"start": 1261.72, "end": 1261.96, "word": " من", "probability": 0.984375}, {"start": 1261.96, "end": 1262.4, "word": " هذه", "probability": 0.9736328125}, {"start": 1262.4, "end": 1263.06, "word": " الأعداد", "probability": 0.97607421875}, {"start": 1263.06, "end": 1263.42, "word": " are", "probability": 0.609375}, {"start": 1263.42, "end": 1264.08, "word": " relatively", "probability": 0.70751953125}, {"start": 1264.08, "end": 1264.7, "word": " prime", "probability": 0.91748046875}, {"start": 1264.7, "end": 1265.28, "word": " مع", "probability": 0.9677734375}, {"start": 1265.28, "end": 1266.74, "word": " بعضهم", "probability": 0.8883463541666666}, {"start": 1266.74, "end": 1267.34, "word": " البعض", "probability": 0.86865234375}, {"start": 1267.34, "end": 1268.06, "word": " يعني", "probability": 0.92626953125}, {"start": 1268.06, "end": 1268.78, "word": " ليس", "probability": 0.9765625}, {"start": 1268.78, "end": 1269.58, "word": " بالضرورة", "probability": 0.94140625}, {"start": 1269.58, "end": 1269.8, "word": " أن", "probability": 0.74169921875}, {"start": 1269.8, "end": 1270.58, "word": " يكونوا", "probability": 0.95849609375}, {"start": 1270.58, "end": 1271.22, "word": " primes", "probability": 0.5499267578125}, {"start": 1271.22, "end": 1271.54, "word": " وإنما", "probability": 0.792724609375}, {"start": 1271.54, "end": 1272.02, "word": " يكونوا", "probability": 0.8772786458333334}, {"start": 1272.02, "end": 1272.82, "word": " relatively", "probability": 0.54931640625}, {"start": 1272.82, "end": 1273.5, "word": " primes", "probability": 0.7291259765625}], "temperature": 1.0}, {"id": 51, "seek": 129728, "start": 1273.74, "end": 1297.28, "text": "يعني ممكن اخد اللي هو العدد اتنين مع العدد سبعة ممكن اخد ستة و خمسة ستة و خمسة اتنين relatively primes رغم انه خمسة primes ستة لأ تمام يبقى ليس بالضرورة ان تكون هذه الاعداد primes مثل ما حللنا اش التلاتين يبقى ممكن يكون اربعة و عشرين", "tokens": [40228, 22653, 3714, 43020, 1975, 9778, 3215, 13672, 1829, 31439, 18863, 3215, 3215, 1975, 2655, 1863, 9957, 20449, 18863, 3215, 3215, 8608, 3555, 27884, 3714, 43020, 1975, 9778, 3215, 8608, 2655, 3660, 4032, 16490, 2304, 3794, 3660, 8608, 2655, 3660, 4032, 16490, 2304, 3794, 3660, 1975, 2655, 1863, 9957, 7226, 2886, 279, 12602, 17082, 2304, 16472, 3224, 16490, 2304, 3794, 3660, 2886, 279, 8608, 2655, 3660, 5296, 10721, 46811, 10943, 7251, 3555, 4587, 7578, 32239, 3794, 20666, 11242, 2288, 13063, 3660, 16472, 6055, 30544, 29538, 42963, 22488, 18513, 2886, 279, 50113, 1211, 19446, 11331, 1211, 1211, 8315, 1975, 8592, 16712, 1211, 9307, 9957, 7251, 3555, 4587, 7578, 3714, 43020, 7251, 30544, 1975, 25513, 27884, 4032, 6225, 46309, 9957], "avg_logprob": -0.17660188850234537, "compression_ratio": 1.8666666666666667, "no_speech_prob": 0.0, "words": 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اتنين اكستيرنا ال product لزد ستة اكستيرنا ال product لمن؟ لزد خمسة ليش؟ since اتنين and التلاتة are", "tokens": [1829, 3555, 4587, 7578, 29538, 307, 32702, 299, 32767, 9957, 22807, 5296, 11622, 3215, 1975, 2655, 1863, 9957, 9122, 15042, 39896, 5296, 11622, 3215, 1975, 2655, 1863, 9957, 1975, 4117, 3794, 2655, 13546, 8315, 2423, 1674, 5296, 11622, 3215, 8608, 2655, 3660, 1975, 4117, 14851, 13546, 8315, 2423, 1674, 5296, 27842, 22807, 5296, 11622, 3215, 16490, 2304, 3794, 3660, 32239, 8592, 22807, 1670, 1975, 2655, 1863, 9957, 293, 16712, 1211, 9307, 3660, 366], "avg_logprob": -0.21727195382118225, "compression_ratio": 1.7007299270072993, "no_speech_prob": 0.0, "words": [{"start": 1423.4, "end": 1424.06, "word": "يبقى", "probability": 0.931884765625}, {"start": 1424.06, "end": 1424.58, "word": " هذه", "probability": 0.78759765625}, {"start": 1424.58, "end": 1426.46, "word": " isomorphic", "probability": 0.8763020833333334}, {"start": 1426.46, "end": 1427.42, "word": " لمين؟", 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"seek": 146449, "start": 1451.43, "end": 1464.49, "text": "relatively prime طيب ..الان هذى بدي اجيب كمان group اخرى isomorphic لها", "tokens": [4419, 19020, 5835, 23032, 1829, 3555, 4386, 6027, 7649, 8032, 8848, 7578, 4724, 16254, 1975, 7435, 1829, 3555, 9122, 2304, 7649, 1594, 1975, 34740, 7578, 307, 32702, 299, 5296, 11296], "avg_logprob": -0.4422883064516129, "compression_ratio": 1.010204081632653, "no_speech_prob": 0.0, "words": [{"start": 1451.43, "end": 1453.19, "word": "relatively", "probability": 0.4981689453125}, {"start": 1453.19, "end": 1455.49, "word": " prime", "probability": 0.697265625}, {"start": 1455.49, "end": 1457.93, "word": " طيب", "probability": 0.7155354817708334}, {"start": 1457.93, "end": 1459.55, "word": " ..الان", "probability": 0.4959716796875}, {"start": 1459.55, "end": 1460.25, "word": " هذى", "probability": 0.4224446614583333}, {"start": 1460.25, "end": 1460.73, "word": " بدي", "probability": 0.5723876953125}, {"start": 1460.73, "end": 1461.03, "word": " 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0.720703125}, {"start": 1605.38, "end": 1605.98, "word": " Z2", "probability": 0.98974609375}, {"start": 1605.98, "end": 1606.3, "word": " نفس", "probability": 0.974365234375}, {"start": 1606.3, "end": 1606.68, "word": " الشيء", "probability": 0.9736328125}, {"start": 1606.68, "end": 1606.96, "word": " لأنه", "probability": 0.6554361979166666}, {"start": 1606.96, "end": 1607.3, "word": " حصل", "probability": 0.970947265625}, {"start": 1607.3, "end": 1607.84, "word": " ضربهم", "probability": 0.9816080729166666}, {"start": 1607.84, "end": 1608.62, "word": " يسوء", "probability": 0.75030517578125}, {"start": 1608.62, "end": 1608.94, "word": " 6", "probability": 0.7705078125}, {"start": 1608.94, "end": 1609.12, "word": " و", "probability": 0.677734375}, {"start": 1609.12, "end": 1609.38, "word": " 2", "probability": 0.56982421875}, {"start": 1609.38, "end": 1609.68, "word": " are", "probability": 0.705078125}, {"start": 1609.68, "end": 1610.16, "word": " relatively", "probability": 0.79248046875}, {"start": 1610.16, "end": 1610.6, "word": " prime", "probability": 0.93994140625}, {"start": 1610.6, "end": 1611.04, "word": " بنفس", "probability": 0.972412109375}, {"start": 1611.04, "end": 1611.62, "word": " النظرية", "probability": 0.96240234375}, {"start": 1611.62, "end": 1611.76, "word": " اللي", "probability": 0.9208984375}, {"start": 1611.76, "end": 1611.92, "word": " هي", "probability": 0.54736328125}, {"start": 1611.92, "end": 1612.22, "word": " قبل", "probability": 0.997314453125}, {"start": 1612.22, "end": 1612.7, "word": " قليل", "probability": 0.9889322916666666}], "temperature": 1.0}, {"id": 64, "seek": 163741, "start": 1613.33, "end": 1637.41, "text": "يبقى بناءً عليه هذه بقدر أقول بدل ما هي z6 بدي أقول عليها z3 external by-product مع z2 external by-product مع z5 طيب هذه isomorphic لمن؟ طلعلي لهذه relatively prime", "tokens": [1829, 3555, 4587, 7578, 44945, 16606, 14111, 47356, 29538, 4724, 28543, 2288, 5551, 39648, 47525, 1211, 19446, 39896, 710, 21, 4724, 16254, 5551, 39648, 25894, 11296, 710, 18, 8320, 538, 12, 33244, 20449, 710, 17, 8320, 538, 12, 33244, 20449, 710, 20, 23032, 1829, 3555, 29538, 307, 32702, 299, 5296, 27842, 22807, 23032, 1211, 3615, 20292, 46740, 24192, 7226, 5835], "avg_logprob": -0.34554303669538655, "compression_ratio": 1.4285714285714286, "no_speech_prob": 0.0, "words": [{"start": 1613.33, "end": 1613.81, "word": "يبقى", "probability": 0.656402587890625}, {"start": 1613.81, "end": 1614.37, "word": " بناءً", "probability": 0.5135498046875}, {"start": 1614.37, "end": 1614.69, "word": " عليه", "probability": 0.51318359375}, {"start": 1614.69, "end": 1615.15, "word": " هذه", "probability": 0.78662109375}, {"start": 1615.15, "end": 1615.63, "word": " بقدر", "probability": 0.7361653645833334}, {"start": 1615.63, "end": 1615.83, "word": " أقول", "probability": 0.74853515625}, {"start": 1615.83, "end": 1616.21, "word": " بدل", "probability": 0.953369140625}, {"start": 1616.21, "end": 1616.35, "word": " ما", "probability": 0.77978515625}, {"start": 1616.35, "end": 1616.53, "word": " هي", "probability": 0.8154296875}, {"start": 1616.53, "end": 1617.17, "word": " z6", "probability": 0.615966796875}, {"start": 1617.17, "end": 1617.51, "word": " بدي", "probability": 0.482666015625}, {"start": 1617.51, "end": 1617.97, "word": " أقول", "probability": 0.9375}, {"start": 1617.97, "end": 1618.71, "word": " عليها", "probability": 0.964599609375}, {"start": 1618.71, "end": 1620.21, "word": " z3", "probability": 0.91064453125}, {"start": 1620.21, "end": 1621.31, "word": " external", "probability": 0.56103515625}, {"start": 1621.31, "end": 1621.67, "word": " by", "probability": 0.443603515625}, {"start": 1621.67, "end": 1622.31, "word": "-product", "probability": 0.614990234375}, {"start": 1622.31, "end": 1622.65, "word": " مع", "probability": 0.92919921875}, {"start": 1622.65, "end": 1623.61, "word": " z2", "probability": 0.972900390625}, {"start": 1623.61, "end": 1624.45, "word": " external", "probability": 0.55419921875}, {"start": 1624.45, "end": 1624.81, "word": " by", "probability": 0.90185546875}, {"start": 1624.81, "end": 1625.41, "word": "-product", "probability": 0.933349609375}, {"start": 1625.41, "end": 1625.69, "word": " مع", "probability": 0.9755859375}, {"start": 1625.69, "end": 1626.43, "word": " z5", "probability": 0.99072265625}, {"start": 1626.43, "end": 1628.93, "word": " طيب", "probability": 0.91845703125}, {"start": 1628.93, "end": 1629.95, "word": " هذه", "probability": 0.5302734375}, {"start": 1629.95, "end": 1631.95, "word": " isomorphic", "probability": 0.85205078125}, {"start": 1631.95, "end": 1633.63, "word": " لمن؟", "probability": 0.621337890625}, {"start": 1633.63, "end": 1634.17, "word": " طلعلي", "probability": 0.808349609375}, {"start": 1634.17, "end": 1634.73, "word": " لهذه", "probability": 0.7509765625}, {"start": 1634.73, "end": 1636.79, "word": " relatively", "probability": 0.27490234375}, {"start": 1636.79, "end": 1637.41, "word": " prime", "probability": 0.89111328125}], "temperature": 1.0}, {"id": 65, "seek": 166775, "start": 1638.51, "end": 1667.75, "text": "يبقى هذول الـ Z6 External Direct Product مع Z2 External Direct Product مع Z5 يبقى هذه جروب جديدة بدي أطلع كمان جروب تاني يبقى هذه isomorphic كمان لمين؟ لـ Z6 External Direct Product 2 5 يبقى مع Z10", "tokens": [1829, 3555, 4587, 7578, 8032, 8848, 12610, 2423, 39184, 1176, 21, 48277, 413, 11890, 22005, 20449, 1176, 17, 48277, 18308, 22005, 20449, 1176, 20, 7251, 3555, 4587, 7578, 29538, 10874, 32887, 3555, 10874, 16254, 41891, 4724, 16254, 5551, 9566, 1211, 3615, 9122, 2304, 7649, 10874, 32887, 3555, 6055, 7649, 1829, 7251, 3555, 4587, 7578, 29538, 307, 32702, 299, 9122, 2304, 7649, 32767, 9957, 22807, 5296, 39184, 1176, 21, 48277, 18308, 22005, 568, 1025, 7251, 3555, 4587, 7578, 20449, 1176, 3279], "avg_logprob": -0.25790894473040543, "compression_ratio": 1.7371794871794872, "no_speech_prob": 0.0, "words": [{"start": 1638.51, "end": 1639.03, "word": "يبقى", "probability": 0.87060546875}, {"start": 1639.03, "end": 1639.41, "word": " هذول", "probability": 0.63427734375}, {"start": 1639.41, "end": 1639.63, "word": " الـ", "probability": 0.406982421875}, {"start": 1639.63, "end": 1641.49, "word": " Z6", "probability": 0.4974365234375}, {"start": 1641.49, "end": 1642.45, "word": " External", "probability": 0.4580078125}, {"start": 1642.45, "end": 1642.81, "word": " Direct", "probability": 0.53778076171875}, {"start": 1642.81, "end": 1643.51, "word": " Product", "probability": 0.8642578125}, {"start": 1643.51, "end": 1644.33, "word": " مع", "probability": 0.80712890625}, {"start": 1644.33, "end": 1645.63, "word": " Z2", "probability": 0.891845703125}, {"start": 1645.63, "end": 1646.49, "word": " External", "probability": 0.96484375}, {"start": 1646.49, "end": 1646.87, "word": " Direct", "probability": 0.80126953125}, {"start": 1646.87, "end": 1647.55, "word": " Product", "probability": 0.91650390625}, {"start": 1647.55, "end": 1648.13, "word": " مع", "probability": 0.9267578125}, {"start": 1648.13, "end": 1648.93, "word": " Z5", "probability": 0.974365234375}, {"start": 1648.93, "end": 1649.93, "word": " يبقى", "probability": 0.9603271484375}, {"start": 1649.93, "end": 1650.23, "word": " هذه", "probability": 0.572265625}, {"start": 1650.23, "end": 1650.61, "word": " جروب", "probability": 0.710205078125}, {"start": 1650.61, "end": 1651.13, "word": " جديدة", "probability": 0.9435221354166666}, {"start": 1651.13, "end": 1652.23, "word": " بدي", "probability": 0.3966064453125}, {"start": 1652.23, "end": 1652.63, "word": " أطلع", "probability": 0.8931884765625}, {"start": 1652.63, "end": 1652.99, "word": " كمان", "probability": 0.8414713541666666}, {"start": 1652.99, "end": 1653.37, "word": " جروب", "probability": 0.923828125}, {"start": 1653.37, "end": 1653.89, "word": " تاني", "probability": 0.8727213541666666}, {"start": 1653.89, "end": 1655.17, "word": " يبقى", "probability": 0.9813232421875}, {"start": 1655.17, "end": 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الستة", "probability": 0.48095703125}, {"start": 1671.0, "end": 1672.3, "word": " والخمسة", "probability": 0.9076171875}, {"start": 1672.3, "end": 1672.86, "word": " are", "probability": 0.56640625}, {"start": 1672.86, "end": 1673.24, "word": " ..", "probability": 0.400146484375}, {"start": 1673.24, "end": 1673.82, "word": " لأنه", "probability": 0.8541666666666666}, {"start": 1673.82, "end": 1674.9, "word": " الاتنين", "probability": 0.8175048828125}, {"start": 1674.9, "end": 1675.58, "word": " والخمسة", "probability": 0.96806640625}, {"start": 1675.58, "end": 1675.8, "word": " are", "probability": 0.90966796875}, {"start": 1675.8, "end": 1676.32, "word": " relatively", "probability": 0.81640625}, {"start": 1676.32, "end": 1676.9, "word": " prime", "probability": 0.85986328125}, {"start": 1676.9, "end": 1677.68, "word": " يبقى", "probability": 0.954833984375}, {"start": 1677.68, "end": 1678.02, "word": " هذا", "probability": 0.9521484375}, {"start": 1678.02, "end": 1678.88, "word": " sense", "probability": 0.45361328125}, {"start": 1678.88, "end": 1680.14, "word": " اتنين", "probability": 0.9063720703125}, {"start": 1680.14, "end": 1680.92, "word": " and", "probability": 0.93212890625}, {"start": 1680.92, "end": 1682.2, "word": " خمسة", "probability": 0.990966796875}, {"start": 1682.2, "end": 1682.84, "word": " are", "probability": 0.96435546875}, {"start": 1682.84, "end": 1684.96, "word": " relatively", "probability": 0.90625}, {"start": 1684.96, "end": 1687.12, "word": " prime", "probability": 0.90185546875}], "temperature": 1.0}, {"id": 67, "seek": 170834, "start": 1687.94, "end": 1708.34, "text": "والخطوة الأولى اللى عندنا زد ستة لإنه اتنين و تلاتة relatively prime هذا كتبناه قبل قليل طب السؤال هو هل هذه isomorphic لزد ستين ما يفيها ستين عنصر طبعا لأ السبب because", "tokens": [2407, 6027, 9778, 9566, 2407, 3660, 16247, 12610, 7578, 13672, 7578, 43242, 8315, 30767, 3215, 8608, 2655, 3660, 5296, 28814, 1863, 3224, 1975, 2655, 1863, 9957, 4032, 6055, 1211, 9307, 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subgroup نذكره لأنه بدنا نبني الشغل عليه definition تعريف يقول if ال K is a divisor of N if ال K is a divisor of N لو كان ال K قاسم لل N و", "tokens": [41185, 34105, 37279, 16572, 5172, 5551, 9778, 3215, 8315, 3224, 8608, 16758, 4587, 995, 8978, 7187, 295, 1422, 17377, 8717, 8848, 37983, 3224, 5296, 33456, 3224, 47525, 8315, 8717, 3555, 22653, 25124, 17082, 1211, 47356, 7123, 37279, 16572, 5172, 7251, 39648, 498, 2423, 591, 307, 257, 25974, 284, 295, 426, 498, 2423, 591, 307, 257, 25974, 284, 295, 426, 45164, 25961, 2423, 591, 12174, 32277, 2304, 24976, 426, 4032], "avg_logprob": -0.2899553430931909, "compression_ratio": 1.4853801169590644, "no_speech_prob": 0.0, "words": [{"start": 1798.55, "end": 1798.79, "word": "في", "probability": 0.323974609375}, {"start": 1798.79, "end": 1798.95, "word": " هنا", "probability": 0.1121826171875}, {"start": 1798.95, "end": 1799.39, "word": " تعريف", "probability": 0.9713541666666666}, {"start": 1799.39, "end": 1800.01, "word": " أخدناه", 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"start": 2351.58, "end": 2368.86, "text": "الـ UM ايزو مورفك لمن؟ لل U N 1 اكستاناضايك برودك مع U N 2 اكستاناضايك برودك مع مين؟ مع U N K بالشكل اللي عندنا هنا", "tokens": [6027, 39184, 31335, 1975, 1829, 11622, 2407, 3714, 13063, 5172, 4117, 5296, 27842, 22807, 24976, 624, 426, 502, 1975, 4117, 14851, 7649, 46958, 47302, 4117, 4724, 2288, 23328, 4117, 20449, 624, 426, 568, 1975, 4117, 14851, 7649, 46958, 47302, 4117, 4724, 2288, 23328, 4117, 20449, 3714, 9957, 22807, 20449, 624, 426, 591, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 34105], "avg_logprob": -0.3939549160785362, "compression_ratio": 1.5950413223140496, "no_speech_prob": 0.0, "words": [{"start": 2351.58, "end": 2352.02, "word": "الـ", "probability": 0.404052734375}, {"start": 2352.02, "end": 2352.74, "word": " UM", "probability": 0.4453125}, {"start": 2352.74, "end": 2354.18, "word": " ايزو", "probability": 0.67071533203125}, {"start": 2354.18, "end": 2354.96, "word": " مورفك", "probability": 0.799072265625}, {"start": 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رقمين S وT are relatively prime then ال U S T يبقى ال group اللي عندنا ال U S T isomorphic لل externa تاكرودك تبقى حاصل الضرب زي ايش مثلا لو قلتلك U خمستاشر", "tokens": [2304, 25720, 6055, 7649, 10632, 4724, 39648, 4724, 39648, 45164, 43242, 4117, 12602, 4587, 2304, 9957, 318, 4032, 51, 366, 7226, 5835, 550, 2423, 624, 318, 314, 7251, 3555, 4587, 7578, 2423, 1594, 13672, 1829, 43242, 8315, 2423, 624, 318, 314, 307, 32702, 299, 24976, 454, 391, 629, 6055, 995, 37983, 23328, 4117, 6055, 3555, 4587, 7578, 11331, 33546, 1211, 6024, 114, 25513, 30767, 1829, 1975, 1829, 8592, 50113, 15040, 45164, 12174, 1211, 2655, 23275, 624, 16490, 2304, 14851, 33599, 2288], "avg_logprob": -0.29687499600212747, "compression_ratio": 1.4526315789473685, "no_speech_prob": 0.0, "words": [{"start": 2382.06, "end": 2382.46, "word": "مرة", "probability": 0.835205078125}, {"start": 2382.46, "end": 2382.74, "word": " تانية", "probability": 0.9524739583333334}, {"start": 2382.74, "end": 2383.22, "word": " بقول", 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7226, 5835, 4724, 16254, 7251, 30544, 36764, 24401, 20328, 5016, 1829, 5016, 37495, 22653, 2423, 9307, 1863, 9957, 8032, 8848, 12610, 366, 7226, 5835, 7251, 3555, 4587, 7578, 2423, 624, 376, 307, 32702, 299, 5296, 624, 295, 34892, 4587, 2304, 16247, 12610, 9122, 14851, 7649, 18513, 47302, 4117, 2407, 4724, 32887, 3215, 4117, 624, 20449, 34892, 4587, 2304, 16712, 7649, 1829, 9122, 14851, 7649, 18513, 47302, 4117, 2407, 4724, 32887, 3215, 4117], "avg_logprob": -0.27146946610385225, "compression_ratio": 1.7348484848484849, "no_speech_prob": 0.0, "words": [{"start": 2481.01, "end": 2481.51, "word": "يبقى", "probability": 0.7945556640625}, {"start": 2481.51, "end": 2481.69, "word": " لو", "probability": 0.8564453125}, {"start": 2481.69, "end": 2482.21, "word": " عندي", "probability": 0.5958251953125}, {"start": 2482.21, "end": 2482.55, "word": " الـ", "probability": 0.6063232421875}, {"start": 2482.55, "end": 2482.73, "word": " M", "probability": 0.463623046875}, {"start": 2482.73, "end": 2483.09, "word": " هذا", "probability": 0.61767578125}, {"start": 2483.09, "end": 2484.07, "word": " حللناه", "probability": 0.86806640625}, {"start": 2484.07, "end": 2484.33, "word": " إلى", "probability": 0.80322265625}, {"start": 2484.33, "end": 2485.15, "word": " حاصل", "probability": 0.8512369791666666}, {"start": 2485.15, "end": 2485.53, "word": " ضرب", "probability": 0.990966796875}, {"start": 2485.53, "end": 2485.89, "word": " N", "probability": 0.79931640625}, {"start": 2485.89, "end": 2486.13, "word": " من", "probability": 0.9833984375}, {"start": 2486.13, "end": 2486.91, "word": " الأرقام", "probability": 0.9918212890625}, {"start": 2486.91, "end": 2487.99, "word": " N1", "probability": 0.608642578125}, {"start": 2487.99, "end": 2488.49, "word": " N2", "probability": 0.690185546875}, {"start": 2488.49, "end": 2488.83, "word": " لغاية", "probability": 0.9129638671875}, {"start": 2488.83, "end": 2489.39, "word": " NK", "probability": 0.5892333984375}, {"start": 2489.39, "end": 2490.51, "word": " بحيث", "probability": 0.92431640625}, {"start": 2490.51, "end": 2490.71, "word": " الـ", "probability": 0.42755126953125}, {"start": 2490.71, "end": 2490.99, "word": " greatest", "probability": 0.345458984375}, {"start": 2490.99, "end": 2491.51, "word": " common", "probability": 0.9423828125}, {"start": 2491.51, "end": 2492.15, "word": " divisor", "probability": 0.951904296875}, {"start": 2492.15, "end": 2492.45, "word": " بين", "probability": 0.9443359375}, {"start": 2492.45, "end": 2493.03, "word": " أي", "probability": 0.8427734375}, {"start": 2493.03, "end": 2493.75, "word": " اتنين", "probability": 0.8983154296875}, {"start": 2493.75, "end": 2494.47, "word": " بدي", "probability": 0.4320068359375}, {"start": 2494.47, "end": 2494.75, "word": " يكون", "probability": 0.912109375}, {"start": 2494.75, "end": 2495.39, "word": " relatively", "probability": 0.273681640625}, {"start": 2495.39, "end": 2496.19, "word": " prime", "probability": 0.951171875}, {"start": 2496.19, "end": 2496.67, "word": " بدي", "probability": 0.73193359375}, {"start": 2496.67, "end": 2496.91, "word": " يكون", "probability": 0.641357421875}, {"start": 2496.91, "end": 2497.25, "word": " واحد", "probability": 0.978759765625}, {"start": 2497.25, "end": 2497.77, "word": " صحيح", "probability": 0.972412109375}, {"start": 2497.77, "end": 2498.51, "word": " يعني", "probability": 0.911865234375}, {"start": 2498.51, "end": 2499.13, "word": " الاتنين", "probability": 0.82940673828125}, {"start": 2499.13, "end": 2499.51, "word": " هذول", "probability": 0.7821451822916666}, {"start": 2499.51, "end": 2499.75, "word": " are", "probability": 0.5576171875}, {"start": 2499.75, "end": 2500.29, "word": " relatively", "probability": 0.8232421875}, {"start": 2500.29, "end": 2500.85, "word": " prime", "probability": 0.9501953125}, {"start": 2500.85, "end": 2501.69, "word": " يبقى", "probability": 0.9827880859375}, {"start": 2501.69, "end": 2501.87, "word": " ال", "probability": 0.88623046875}, {"start": 2501.87, "end": 2502.15, "word": " U", "probability": 0.34326171875}, {"start": 2502.15, "end": 2502.63, "word": " M", "probability": 0.4931640625}, {"start": 2502.63, "end": 2503.81, "word": " isomorphic", "probability": 0.9230143229166666}, {"start": 2503.81, "end": 2504.01, "word": " ل", "probability": 0.82470703125}, {"start": 2504.01, "end": 2504.33, "word": " U", "probability": 0.75830078125}, {"start": 2504.33, "end": 2504.77, "word": " of", "probability": 0.619140625}, {"start": 2504.77, "end": 2505.25, "word": " الرقم", "probability": 0.98291015625}, {"start": 2505.25, "end": 2505.69, "word": " الأول", "probability": 0.964599609375}, {"start": 2505.69, "end": 2506.83, "word": " كستانادايكو", "probability": 0.45064871651785715}, {"start": 2506.83, "end": 2507.15, "word": " برودك", "probability": 0.73388671875}, {"start": 2507.15, "end": 2507.35, "word": " U", "probability": 0.488525390625}, {"start": 2507.35, "end": 2507.59, "word": " مع", "probability": 0.99365234375}, {"start": 2507.59, "end": 2507.99, "word": " الرقم", "probability": 0.9923502604166666}, {"start": 2507.99, "end": 2508.39, "word": " التاني", "probability": 0.9505208333333334}, {"start": 2508.39, "end": 2509.39, "word": " كستانادايكو", "probability": 0.9529854910714286}, {"start": 2509.39, "end": 2509.75, "word": " برودك", "probability": 0.9840087890625}], "temperature": 1.0}, {"id": 100, "seek": 251989, "start": 2510.09, "end": 2519.89, "text": "مع الرقم كي و هكذا المرة الجاية ان شاء الله بناخد أمثلة توضحية على كيفية استخدام الكلام اللي عندنا هذا", "tokens": [2304, 3615, 34892, 4587, 2304, 9122, 1829, 4032, 8032, 4117, 15730, 9673, 25720, 25724, 995, 10632, 16472, 13412, 16606, 21984, 44945, 47283, 3215, 5551, 2304, 12984, 37977, 33427, 11242, 5016, 10632, 15844, 9122, 33911, 10632, 44713, 9778, 3215, 10943, 2423, 28820, 10943, 13672, 1829, 43242, 8315, 23758], "avg_logprob": -0.22460937375823656, "compression_ratio": 1.5163934426229508, "no_speech_prob": 0.0, "words": [{"start": 2510.09, "end": 2510.41, "word": "مع", "probability": 0.76904296875}, {"start": 2510.41, "end": 2511.03, "word": " الرقم", "probability": 0.97021484375}, {"start": 2511.03, "end": 2511.47, "word": " كي", "probability": 0.6207275390625}, {"start": 2511.47, "end": 2511.75, "word": " و", "probability": 0.5537109375}, {"start": 2511.75, "end": 2512.53, "word": " هكذا", "probability": 0.8050130208333334}, {"start": 2512.53, "end": 2513.55, "word": " المرة", "probability": 0.8466796875}, {"start": 2513.55, "end": 2513.89, "word": " الجاية", "probability": 0.507080078125}, {"start": 2513.89, "end": 2513.95, "word": " ان", "probability": 0.61865234375}, {"start": 2513.95, "end": 2514.19, "word": " شاء", "probability": 0.97509765625}, {"start": 2514.19, "end": 2514.31, "word": " الله", "probability": 0.96484375}, {"start": 2514.31, "end": 2514.75, "word": " بناخد", "probability": 0.9547526041666666}, {"start": 2514.75, "end": 2515.25, "word": " أمثلة", "probability": 0.908935546875}, {"start": 2515.25, "end": 2515.89, "word": " توضحية", "probability": 0.78912353515625}, {"start": 2515.89, "end": 2516.11, "word": " على", "probability": 0.54052734375}, {"start": 2516.11, "end": 2516.67, "word": " كيفية", "probability": 0.99169921875}, {"start": 2516.67, "end": 2517.41, "word": " استخدام", "probability": 0.960693359375}, {"start": 2517.41, "end": 2518.39, "word": " الكلام", "probability": 0.94140625}, {"start": 2518.39, "end": 2518.81, "word": " اللي", "probability": 0.82275390625}, {"start": 2518.81, "end": 2519.45, "word": " عندنا", "probability": 0.99560546875}, {"start": 2519.45, "end": 2519.89, "word": " هذا", "probability": 0.295654296875}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2521.54775, "duration_after_vad": 2350.5574999999913}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/6-VZH90aeqE_postprocess.srt b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/6-VZH90aeqE_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..0be2248663a1061f55d3726f686bca0000edc995
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/6-VZH90aeqE_postprocess.srt
@@ -0,0 +1,1976 @@
+1
+00:00:21,240 --> 00:00:24,560
+بسم الله الرحمن الرحيم اليوم ان شاء الله عندنا
+
+2
+00:00:24,560 --> 00:00:29,220
+مناقشة لما سبقت دراسته في chapter الأول و هو
+
+3
+00:00:29,220 --> 00:00:33,580
+chapter ال groups تمام؟ في عندنا مجموعة من المسائل
+
+4
+00:00:33,580 --> 00:00:37,480
+الطلبنا المرة اللي فاتت اتحلوها و بنتوقف عندها
+
+5
+00:00:37,480 --> 00:00:42,160
+اليوم في هذه المحاضرة ان شاء الله السؤال الأول هو
+
+6
+00:00:42,160 --> 00:00:46,040
+السؤال الخامس بيقول لي هاتلي معكوس المصوفة اتنين
+
+7
+00:00:46,040 --> 00:00:50,430
+ستة تلاتة خمسةالموجودة في ال general linear group
+
+8
+00:00:50,430 --> 00:00:55,530
+of two by two matrices over z دق احداش في حاجة
+
+9
+00:00:55,530 --> 00:01:03,290
+صرابت فيها هذا طب
+
+10
+00:01:03,290 --> 00:01:08,090
+اليوم ده خليها تطلع ان شاء الله ماشي يبقى انا عندي
+
+11
+00:01:08,090 --> 00:01:14,630
+المصوفة اتنين ستة تلاتة خمسةيبقى عندى اتنين اللى
+
+12
+00:01:14,630 --> 00:01:20,210
+هو السؤال الخامس اتنين ستة تلاتة خمسة هيك مظبوط؟
+
+13
+00:01:21,940 --> 00:01:25,940
+يبقى انا عند المصغوفة هذه بدنا نحاول نجيب المعكوس
+
+14
+00:01:25,940 --> 00:01:31,140
+لهذه المصغوفة مشان نجيب المعكوس لهذه المصغوفة طبعا
+
+15
+00:01:31,140 --> 00:01:35,860
+العناصر اتنين ستة تلاتة خمسة موجودة وين في ال z دي
+
+16
+00:01:35,860 --> 00:01:40,000
+احداشر في الأول بدي اتأكد ان ليها معكوس ولا لأ
+
+17
+00:01:40,000 --> 00:01:45,610
+فبروح بجيب مين المحدد تبع هذه المصغوفةيبقى لو جيت
+
+18
+00:01:45,610 --> 00:01:51,930
+اخدتلها determinant لأتنين ستة تلاتة خمسة بده يسوى
+
+19
+00:01:51,930 --> 00:01:58,350
+تلاتة في خمسة اتنين في خمسة بعاشرة وستة في تلاتة
+
+20
+00:01:58,350 --> 00:02:07,440
+بتمنتاش كل هذا الكلام module 11يبقى هذا الكلام بده
+
+21
+00:02:07,440 --> 00:02:14,000
+يساوي سالب تمانية موديولون احداشر ماعنديش حاجة
+
+22
+00:02:14,000 --> 00:02:18,700
+اسمة سالفة بروح باضيف احداشر لسلب تمانية بصير
+
+23
+00:02:18,700 --> 00:02:24,800
+الجواب قداشر تلاتةإذا قيمة المحدد تساوي تلاتة لا
+
+24
+00:02:24,800 --> 00:02:31,140
+يساوي Zero إذا هنا الـ A المصوف هذه لها معكوس الآن
+
+25
+00:02:31,140 --> 00:02:34,460
+بدنا نجيب المعكوس أخدنا مثال الـ General Linear
+
+26
+00:02:34,460 --> 00:02:40,960
+Group of 2x2 matrices over R المعكوس تبعها واحد
+
+27
+00:02:40,960 --> 00:02:45,500
+على محدد الـ A بغير عناصر القطر الرئيسي مكان بعضه
+
+28
+00:02:45,500 --> 00:02:51,560
+بغير إشارات عناصر القطر الثانوييبقى هذا الكلام لو
+
+29
+00:02:51,560 --> 00:02:57,680
+جيت سميت المصوفة هذه ايه بدي اقوله a inverse بده
+
+30
+00:02:57,680 --> 00:03:05,080
+يساوي تلت في المحدد في المصوفة أي خمسة اتنين سالب
+
+31
+00:03:05,080 --> 00:03:13,670
+ستة سالب تلتة يبقى هذا تلت فيالان انا ماعنديش سلب
+
+32
+00:03:13,670 --> 00:03:16,950
+تلاتة او سلب ستة يبقى بروح و بضيف لكل واحدة فيهم
+
+33
+00:03:16,950 --> 00:03:22,410
+جداش المقاس اللي احنا ماشيين عليه ال 11 يبقى خمسة
+
+34
+00:03:22,410 --> 00:03:27,370
+هنا لو اضفت 11 بيبقى الجداش كمان خمسة هنا لو اضفت
+
+35
+00:03:27,370 --> 00:03:35,520
+11 بيصير تمانية و هنا اتنينكل هذه عناصر موديولو 11
+
+36
+00:03:35,520 --> 00:03:39,480
+يعني خمسة موديولو 11 تمانية موديولو 11 اتنين
+
+37
+00:03:39,480 --> 00:03:44,340
+موديولو 11 هل اضرب التلت في العناصر اللي جوا
+
+38
+00:03:47,100 --> 00:03:51,760
+بتبطل يصير في زد احداشي، الكلام مش صحيح طيب إذا شو
+
+39
+00:03:51,760 --> 00:03:57,200
+نعمل؟ بده أروح العناصر الجوة أضفلها مضاعفات احداشر
+
+40
+00:03:57,200 --> 00:04:01,420
+بحيث كل واحد يصير فيهم يقسم على تلاتة، هتصير
+
+41
+00:04:01,420 --> 00:04:06,600
+كلامنا صحيح، إذا هذه المصوفة لو جيت قلت what تساوي
+
+42
+00:04:06,600 --> 00:04:13,320
+هي التلت اللي براوهي المصموفة لان أحداشر وخمسة ستة
+
+43
+00:04:13,320 --> 00:04:18,120
+عشر تقسمها تلاتة لأ كمان أحداشر وستة عشر سبعة
+
+44
+00:04:18,120 --> 00:04:23,640
+وعشرين سبعة وعشرين تقسم مظبوط يبقى هذه الخمسات
+
+45
+00:04:23,640 --> 00:04:30,020
+كافة سبعة وعشرين مضي الأحداشر تمام؟ اللي بعدها
+
+46
+00:04:30,020 --> 00:04:34,760
+زيها هاي سبعة وعشرين مضي الأحداشر نجي للتمانية
+
+47
+00:04:34,760 --> 00:04:42,210
+واحداشر تسعة عشرتسعة طاش وكمان احداش تلاتين اه
+
+48
+00:04:42,210 --> 00:04:48,470
+تقسم يبقى هنا تلاتين و هذه اتنين و احداش تلاتاش
+
+49
+00:04:48,470 --> 00:04:54,770
+وكمان احداش اربعة وعشرين تقسم على تلاتة يبقى هذه
+
+50
+00:04:54,770 --> 00:05:01,430
+كمان اربعة وعشرين يبقى صارت على تلاتة فيها تسعة
+
+51
+00:05:01,430 --> 00:05:08,130
+تسعة وهنا فيها عشرة وهنا فيها تمانية الشكل عندنا
+
+52
+00:05:08,790 --> 00:05:14,450
+لاحظ ان جميع العلاصر اللتي حصلنا عليها تسعة تسعة
+
+53
+00:05:14,450 --> 00:05:21,230
+تمانية عشرة كلها موجودة في Z11 كلها موجودة في Z11
+
+54
+00:05:21,230 --> 00:05:27,030
+الان بدك تتأكد ان هذا الكلام صحيح فعلا هذي معكوس
+
+55
+00:05:27,030 --> 00:05:31,170
+لها ديش بدنا نعمل بدنا نضرب و نستخدم ال module 11
+
+56
+00:05:31,170 --> 00:05:36,520
+يبقى هذا إلك في الداربراحتك تضرب المصفوفة الان ال
+
+57
+00:05:36,520 --> 00:05:42,400
+a a inverse بده يساوي اللي هو اتنين ستة تلاتة خمسة
+
+58
+00:05:42,400 --> 00:05:48,000
+في مين في تسعة تسعة عشرة تمانية براحتك و هذا
+
+59
+00:05:48,000 --> 00:05:53,420
+الكلام لازم يطلع واحد زيرو زيرو واحد و لا بصير
+
+60
+00:05:53,420 --> 00:05:57,900
+كلامنا معله مش صحيح طب يجب ان تعملها في الدار
+
+61
+00:05:57,900 --> 00:06:02,210
+بعملك بس اول termوالباقي بنفس الطريقة يبقى انا بدى
+
+62
+00:06:02,210 --> 00:06:07,350
+اضرب اتنين في تسعة تمانتاش تمانتاش وستة في عشرة
+
+63
+00:06:07,350 --> 00:06:13,590
+بستين وتمانتاش تمانية وسبعين بنشيل منهم احداش
+
+64
+00:06:13,590 --> 00:06:17,130
+احداش في سبعة بسبعة بسبعين كده اش مضال خلاص نهي
+
+65
+00:06:17,130 --> 00:06:21,050
+الواحد موجود وها كده عملك التاني شفوي كمان ولا
+
+66
+00:06:21,050 --> 00:06:26,030
+خلاص خلاصنا منه الصعب هذاسؤال خمسة طيب هذا سؤال
+
+67
+00:06:26,030 --> 00:06:32,690
+خمسة سؤال ستة سؤال ستة بيقوليش give an example of
+
+68
+00:06:32,690 --> 00:06:38,270
+a group elements a و b with property that ان ال a
+
+69
+00:06:38,270 --> 00:06:44,320
+inverse b a لا يساوي ال bشوف يا سيدي السؤال
+
+70
+00:06:44,320 --> 00:06:48,840
+الأربعة و السؤال الستة الاتنين are the same بصراحة
+
+71
+00:06:48,840 --> 00:06:55,160
+السؤال الستة صغب صيغة أخرى قالك بي انفرست بي اي لا
+
+72
+00:06:55,160 --> 00:07:01,200
+يساوي البي يبقى السؤال الستة قالك بي انفرست اي بي
+
+73
+00:07:01,200 --> 00:07:07,680
+لا يساوي البي طب انا لو ضربت في بي من جهة الشمال
+
+74
+00:07:07,680 --> 00:07:13,440
+ضربت في بي من جهة الشمالبإنفرست بي إيه بقى بي إيه
+
+75
+00:07:13,440 --> 00:07:18,680
+بقى بي إيه بقى بي إيه بقى بي إيه بقى بي إيه بقى بي
+
+76
+00:07:18,680 --> 00:07:21,040
+إيه بقى بي إيه بقى بي إيه بقى بي إيه بقى بي إيه
+
+77
+00:07:21,040 --> 00:07:23,600
+بقى بي إيه بقى بي إيه بقى بي إيه بقى بي إيه بقى بي
+
+78
+00:07:23,600 --> 00:07:23,740
+إيه بقى بي إيه بقى بي إيه بقى بي إيه بقى بي إيه
+
+79
+00:07:23,740 --> 00:07:26,580
+بقى بي إيه بقى بي إيه بقى بي إيه بقى بي إيه بقى بي
+
+80
+00:07:26,580 --> 00:07:36,000
+إيه بقى بي إيه بقى بي إيه بقى بي
+
+81
+00:07:38,610 --> 00:07:43,530
+يعني بيقولي هاتلي مثال ل group بحيث لو أخدت عنصرين
+
+82
+00:07:43,530 --> 00:07:47,910
+منها ضربت ال b في a هتلاقي لا يساوي ال a في b نفس
+
+83
+00:07:47,910 --> 00:07:52,390
+السؤال اللي هو تبع اربعة بالضبط تماما جالك هاتلي
+
+84
+00:07:52,390 --> 00:07:57,390
+مثال ل non appealing group او ل group بحيث ال a في
+
+85
+00:07:57,390 --> 00:08:02,050
+b لا يساوي ال b في a يبقى اربعة و ستة نفس الفكرة
+
+86
+00:08:02,050 --> 00:08:10,460
+بالضبط تماماطيب مين عندك non abelian group؟ حد
+
+87
+00:08:10,460 --> 00:08:15,220
+بيقدر يجيبلي مثال؟ ممتاز جدا، يبقى ال general
+
+88
+00:08:15,220 --> 00:08:19,040
+linear group of two by two matrices over R أبسط
+
+89
+00:08:19,040 --> 00:08:27,410
+مثل، نعطي كمان مثل آخر عملي؟ نعطي؟ D4يبقى D4 مثال
+
+90
+00:08:27,410 --> 00:08:30,650
+محلول معاك و ال general linear group كمان مثال
+
+91
+00:08:30,650 --> 00:08:35,790
+محلول كفنا احنا بكف اتنين هاي اعطيناك بدل المثال
+
+92
+00:08:35,790 --> 00:08:42,490
+اتنين يبقى كمثال على ذلك عندك D4 او عندك كمان ال
+
+93
+00:08:42,490 --> 00:08:45,950
+general linear group of two by two matrices over R
+
+94
+00:08:45,950 --> 00:08:51,540
+عملية ضرب المصطفات هل هي إبدالية؟لأ اتنين ال D4 هل
+
+95
+00:08:51,540 --> 00:08:56,240
+هي abelian طبعا يبقى امسك اي عنصرين هات واحد مثلا
+
+96
+00:08:56,240 --> 00:08:59,240
+من ال rotation واحد من ال inflection وضربهم في بعض
+
+97
+00:08:59,240 --> 00:09:02,820
+و اجلب طبعا حسبنا معاكوا الكلام هذا هتلاقي ال A في
+
+98
+00:09:02,820 --> 00:09:06,580
+B اللي هي و سوى مين ال B في A وهي عندك بدل المثال
+
+99
+00:09:06,580 --> 00:09:11,600
+اتنين بعد الستة بدنا نروح ل تمانية تمانية في
+
+100
+00:09:11,600 --> 00:09:15,260
+مشكلها ده اعداد عادية مش في مشكلة طب مين ال
+
+101
+00:09:15,260 --> 00:09:21,460
+identity element؟اللي قال له سؤال تمانية خمسة و
+
+102
+00:09:21,460 --> 00:09:25,340
+عشرين هو ال identity element على طول خاطر اضرب اي
+
+103
+00:09:25,340 --> 00:09:30,580
+element من الست اللي عندك اللي هو خمستاشر و خمسة و
+
+104
+00:09:30,580 --> 00:09:36,160
+تلاتين بتلاقي نفس ال element موجود هو هويبقى
+
+105
+00:09:36,160 --> 00:09:40,860
+الخمسة و عشرين هو ال identity element يبقى احنا
+
+106
+00:09:40,860 --> 00:09:43,880
+عندنا الخمسة و الخمستاشر و الخمسة و عشرين و الخمسة
+
+107
+00:09:43,880 --> 00:09:48,720
+و تلاتين اربع عناصر عنصر الوحدة فيهم هو خمسة و
+
+108
+00:09:48,720 --> 00:09:53,080
+عشرين طبعا modulo اربعين يعني المقياس اللي احنا
+
+109
+00:09:53,080 --> 00:09:58,340
+ماشيه اللي همين اللي هو الاربعين طيب نيجي لسؤال
+
+110
+00:09:58,340 --> 00:10:05,340
+الآن عشرة سؤال عشرة ماطيني two sets ال set الأولى
+
+111
+00:10:07,720 --> 00:10:13,960
+سؤال عشرة بيقول list the elements of H بدها تساوي
+
+112
+00:10:13,960 --> 00:10:22,520
+كل العناصر X ترابيع بحيث ال X موجودة في D4 وكذلك
+
+113
+00:10:22,520 --> 00:10:29,700
+ال 6 التانية لكبتل K لكل العناصر X اللي موجودة في
+
+114
+00:10:29,700 --> 00:10:39,410
+D4 بحيث ان X² is equal to the identity elementيبقى
+
+115
+00:10:39,410 --> 00:10:45,730
+امام احنا سؤالين كل سؤال بدنا نحسبه على حدة الان
+
+116
+00:10:45,730 --> 00:10:53,050
+لما نيجي ل D4 ال D4 العناصر تبعتها ر نول و R تسعين
+
+117
+00:10:53,050 --> 00:11:00,750
+و R مية و تمانين و R متين و سبعين و ال H و ال V و
+
+118
+00:11:00,750 --> 00:11:06,240
+ال D و ال D primeيبقى هاي التمن عناصر تبعتها بدنا
+
+119
+00:11:06,240 --> 00:11:12,160
+نيجي نحسبله الست الأولى من H كل العناصر X تربيع
+
+120
+00:11:12,160 --> 00:11:17,660
+بحيث ال X موجودة في D يعني ايه؟ بدأ أخد عنصر من D4
+
+121
+00:11:17,660 --> 00:11:22,820
+و أروح أربعه و النتج أحطه في من؟ في هذه الست يبقى
+
+122
+00:11:22,820 --> 00:11:28,820
+بناء عليه ال H بدها تساوي بدأ أمسك أرنود لو ربعته
+
+123
+00:11:28,820 --> 00:11:33,670
+من بيطلعأر نود نفسه يبقى ار نود موجود في هذه
+
+124
+00:11:33,670 --> 00:11:38,970
+المجموعة بالداخل الار تسعين لو ربعته شو بطلع ار
+
+125
+00:11:38,970 --> 00:11:44,850
+مية و تمانين يبقى ار مية و تمانين بالداخل الار مية
+
+126
+00:11:44,850 --> 00:11:49,110
+و تمانين لو ربعتها ار نود موجودة يبقى بسيبها
+
+127
+00:11:49,110 --> 00:11:53,170
+بالداخل الار متين و سبعين لو ربعتها
+
+128
+00:11:55,600 --> 00:12:01,440
+ر كده؟ 180 يعني بصير ر ميتين و سبعين خمس مية و
+
+129
+00:12:01,440 --> 00:12:05,320
+أربعين شيل منهم الدورة الكاملة اللي هي تلت مية و
+
+130
+00:12:05,320 --> 00:12:11,700
+ستين بيضلل مية و تمانين هي موجودة يبقى هذه كمان
+
+131
+00:12:11,700 --> 00:12:17,260
+ضالة موجودة طب ده رابع ال H تربيع ال identity are
+
+132
+00:12:17,260 --> 00:12:24,210
+not هي موجودةأرنود ارنود ارنود ارنود
+
+133
+00:12:24,210 --> 00:12:30,050
+ارنود ارنود ارنود ارنود ارنود ارنود ارنود ارنود
+
+134
+00:12:30,050 --> 00:12:30,290
+ارنود ارنود ارنود ارنود ارنود ارنود ارنود ارنود
+
+135
+00:12:30,290 --> 00:12:31,350
+ارنود ارنود ارنود ارنود ارنود ارنود ارنود ارنود
+
+136
+00:12:31,350 --> 00:12:39,570
+ارنود ارنود ارنود ارنود ارنود ارنود ارنود ارنود
+
+137
+00:12:39,570 --> 00:12:45,320
+ارنوالـ K بده يساوي كل العناصر اللي فيه D4 لما
+
+138
+00:12:45,320 --> 00:12:49,920
+ربيعها بده يعطينا ال identity كتبنا هلكم كتبنا
+
+139
+00:12:49,920 --> 00:12:54,600
+R180 تربية بقداش بال identity و لاتش تربية و ال V
+
+140
+00:12:54,600 --> 00:12:57,120
+تربية و ال D تربية و ال D prime تربية كله بال
+
+141
+00:12:57,120 --> 00:13:05,960
+identity إذا عناصر ال Kالرقم الرابع يبقى الـ
+
+142
+00:13:05,960 --> 00:13:14,640
+identity نفسه الـ identity الار نوت الار
+
+143
+00:13:14,640 --> 00:13:17,800
+تسعين
+
+144
+00:13:17,800 --> 00:13:25,130
+الار تمانينيبقى الار مية و تمانين تعطينا ال
+
+145
+00:13:25,130 --> 00:13:29,010
+identity الار متين و سبعين لو ربعتها بتعطينا ايه؟
+
+146
+00:13:29,010 --> 00:13:34,750
+بتعطينا المية و تمانين اللي بعدها ال H و ال V و ال
+
+147
+00:13:34,750 --> 00:13:39,470
+D و ال D prime كلها هذه لو ربعتها بتعطينا ميه؟ ال
+
+148
+00:13:39,470 --> 00:13:44,150
+identity element يبقى هذا بالنسبة لسؤال عشرة
+
+149
+00:13:44,150 --> 00:13:46,450
+بالنسبة لسؤال اتناش
+
+150
+00:13:50,380 --> 00:13:55,380
+12 بيقول لي for any integer n greater than or
+
+151
+00:13:55,380 --> 00:13:58,540
+equal to two show that there are at least two
+
+152
+00:13:58,540 --> 00:14:04,880
+elements in U N such that ال .. such that اللي هو
+
+153
+00:14:04,880 --> 00:14:08,960
+satisfy ال X تربيع بده يسمى main ال identity
+
+154
+00:14:08,960 --> 00:14:19,680
+element لو جيت الآن لل U Nعناصرها واحد وكداش
+
+155
+00:14:19,680 --> 00:14:27,340
+اخر عنصر الناقص واحد تمام يبقى هذا العنصر الأخير
+
+156
+00:14:27,340 --> 00:14:38,060
+في ال group بيقول يبين ليهذا المعادل يحقق
+
+157
+00:14:38,060 --> 00:14:43,780
+على أقل اتنين يحققوا المعادلة X تربية تساوي واحد
+
+158
+00:14:43,780 --> 00:14:49,880
+يعني مربع العنصرالـ identity element طبعا ممكن أقل
+
+159
+00:14:49,880 --> 00:14:53,400
+حاجة فيها اتنين لكن ممكن يكون فيها أربعة ممكن يكون
+
+160
+00:14:53,400 --> 00:14:57,540
+فيها ستة ممكن ممكن إلى آخره تمام طيب احنا بدنا
+
+161
+00:14:57,540 --> 00:15:03,760
+نيجي نشوف هل هذه ال group فيها two elements لو
+
+162
+00:15:03,760 --> 00:15:09,300
+ربعتهم بيعطينا ال identity element ولا لا الواحد
+
+163
+00:15:09,300 --> 00:15:12,220
+مربع بواحد يبقى واحد فيهم التاني
+
+164
+00:15:17,630 --> 00:15:23,590
+الان ادعى ان العنصرين اللي بحققوا المعادلة x
+
+165
+00:15:23,590 --> 00:15:30,610
+تربيها تساوي واحد هما الست التالية واحد وان ناقص
+
+166
+00:15:30,610 --> 00:15:34,930
+واحد ممكن يكون في غيرهم هه بس هو ايش بيقولي بيقولي
+
+167
+00:15:34,930 --> 00:15:39,680
+اثبت انه على الأقل عندى اتنينبقول الان انا هذول
+
+168
+00:15:39,680 --> 00:15:45,240
+ليش because السبب ان هذول هم اللي بيحقوا المعادلة
+
+169
+00:15:45,240 --> 00:15:51,660
+الواحد تربية شو بيعطيني الواحد it's ال and ان ناقص
+
+170
+00:15:51,660 --> 00:15:55,260
+واحد لكل تربية هذا لازم يعطينا ال identity اللي هو
+
+171
+00:15:55,260 --> 00:16:01,880
+مين واحد طيب هذا لو ربعته بيصير ان تربية ناقص
+
+172
+00:16:01,880 --> 00:16:09,990
+اتنين ان زائد واحد هذا الكلام كله ايهكله مضيوله in
+
+173
+00:16:09,990 --> 00:16:15,870
+تمام يعني كل ال in هذي بده يشيلها طيب هذي in تربيه
+
+174
+00:16:15,870 --> 00:16:22,210
+باعتبارها قداش zero سالب اتنين in كمان zero لإن كل
+
+175
+00:16:22,210 --> 00:16:27,350
+in بده كده تحذفها ومضعفها تقدرش بيضل عندنا بيضل
+
+176
+00:16:27,350 --> 00:16:32,730
+اللي هو الواحد يبقى بناء عليه عند العنصرين هدول هم
+
+177
+00:16:32,730 --> 00:16:40,930
+اللذان يحققانهذه المعادلة طيب هذا سؤال اتناش بعده
+
+178
+00:16:40,930 --> 00:16:47,750
+بروح لسؤال سبعتاش مش هيك سؤال سبعتاش نمسح الناحية
+
+179
+00:16:47,750 --> 00:16:48,190
+هذه
+
+180
+00:17:03,160 --> 00:17:08,180
+السؤال السبعتاشر بيقول ما ياتي ان جي أبيليان if
+
+181
+00:17:08,180 --> 00:17:16,600
+and only if السؤال السبعتاشر جي أبيليان if and
+
+182
+00:17:16,600 --> 00:17:24,880
+only if اللي هو من ال a b الكل inverse ال a b الكل
+
+183
+00:17:24,880 --> 00:17:30,940
+inverse بده ساوي ال a inverse
+
+184
+00:17:43,130 --> 00:17:48,900
+البرهان هذا بيصير في اتجاهينيبقى انا الاتجاه الاول
+
+185
+00:17:48,900 --> 00:17:55,460
+بدي اجي اقوله افرض ان ال g .. والله assume ..
+
+186
+00:17:55,460 --> 00:18:01,160
+assume that ان ال g is abelian
+
+187
+00:18:05,580 --> 00:18:10,120
+مدام ابيليان بدي اثبت ايش بدي اثبت انه a b لكل
+
+188
+00:18:10,120 --> 00:18:14,320
+inverse بدي يسوي a inverse b inverse لكن احنا
+
+189
+00:18:14,320 --> 00:18:19,860
+اثبتنا سابقا ان ال a b لكل inverse يسوي b inverse
+
+190
+00:18:19,860 --> 00:18:25,120
+a inverse يبقى هذا الكلام باجي بقوله ال a b
+
+191
+00:18:25,120 --> 00:18:32,620
+inverse بدي يسوي اللي هو b inverse a inverse مظبوط
+
+192
+00:18:33,120 --> 00:18:37,640
+لكن هو ايش قال لي جي مالها يبقى بقدر ابدل زي ما
+
+193
+00:18:37,640 --> 00:18:41,800
+انا عايزه مالوش كلام عندي يبقى هنا هذا الكلام بده
+
+194
+00:18:41,800 --> 00:18:48,580
+يساوي A inverse B inverse ليش؟ because السبب ان ال
+
+195
+00:18:48,580 --> 00:18:57,180
+G is abelian يبقى اثبتنا الاتجاه الأول بده اروح
+
+196
+00:18:57,180 --> 00:19:00,800
+الآن لمن؟ للاتجاه الثاني
+
+197
+00:19:07,570 --> 00:19:14,170
+الان بجيب اقوله conversely assume
+
+198
+00:19:14,170 --> 00:19:23,850
+افترض ان ال a b لكل inverse بدي سوى a inverse b
+
+199
+00:19:23,850 --> 00:19:32,150
+inverse بدي اثبتله ايش ليه قابله طيب بدي اقوله
+
+200
+00:19:32,150 --> 00:19:38,940
+consider خدلييعني بدي أثبت أن الـ A في B بدي أثبت
+
+201
+00:19:38,940 --> 00:19:46,280
+بي في A لكل الـ A و B اللي موجودة في G consider A
+
+202
+00:19:46,280 --> 00:19:59,180
+و B any elements أي عناصر in G طيب
+
+203
+00:19:59,180 --> 00:20:08,620
+لو أخدت الآن الـ A بي الكل inverseإيش بيساوي؟ بده
+
+204
+00:20:08,620 --> 00:20:16,640
+يساوي A inverse B inverse طيب لو روحت ضربت في
+
+205
+00:20:16,640 --> 00:20:26,880
+الطرفين من جهة الشمال في BA يعني صار BA في ال A B
+
+206
+00:20:26,880 --> 00:20:36,520
+inverse بده يساوي ال B في Aفي ال A inverse في ال B
+
+207
+00:20:36,520 --> 00:20:42,120
+inverse ضربت الطرفين من جهة الشمال في ال B إيه
+
+208
+00:20:42,120 --> 00:20:47,920
+اللي أنا لازمالي هذه بدوش أتلاعب فيها طيب هدفي هدى
+
+209
+00:20:47,920 --> 00:20:55,140
+كده بيعطينا يعني هدى B E B inverse اللي بده يسوى B
+
+210
+00:20:55,140 --> 00:21:00,520
+B inverse بده يسوى ال identity طب أنا بده أخلك في
+
+211
+00:21:00,520 --> 00:21:07,210
+المسألة A Bيبقى بإمكاني ضرب الطرفين في A B إذا
+
+212
+00:21:07,210 --> 00:21:17,090
+ضربت الطرفين في A B بصير B A في A B Inverse في A B
+
+213
+00:21:17,090 --> 00:21:24,230
+بدي ساوي ال E في ال A Bيبقى بيه اللي ايه مكتسبات
+
+214
+00:21:24,230 --> 00:21:29,170
+وطنية حفظنا عليها مالعبناش فيها هذه ايه بده اشلج
+
+215
+00:21:29,170 --> 00:21:34,490
+فيها a و b فاروح الطرفين المعادلة في ال element a
+
+216
+00:21:34,490 --> 00:21:40,590
+و b طب ايه رأيك هذا العنصر و هذا؟مش واحد معكوس
+
+217
+00:21:40,590 --> 00:21:46,810
+التاني يبقى حاصل ضربهما بال identity element يبقى
+
+218
+00:21:46,810 --> 00:21:53,510
+السعر عندي ب في a في ال identity element بدي سوى
+
+219
+00:21:53,510 --> 00:21:59,490
+ال identity element في a,b طب ال identity element
+
+220
+00:21:59,490 --> 00:22:04,330
+لما تضرب في أي element تطلع من نفس ال element يبقى
+
+221
+00:22:04,330 --> 00:22:13,590
+b في a بدي سوى a في bفي عندي قيود على ا و ب؟ اي
+
+222
+00:22:13,590 --> 00:22:17,630
+عناصر في جي يبقى بنان عليه مالها؟ جي is abelian
+
+223
+00:22:17,630 --> 00:22:24,150
+يبقى هنا سا جي is abelian
+
+224
+00:22:29,980 --> 00:22:39,120
+هذا سؤال سبعتاش سؤال سؤال سؤال تمانتاش هذا حلناه
+
+225
+00:22:39,120 --> 00:22:44,740
+في المحاضرة أخدناه كمثال طيب سؤال تسعتاش بيقولي
+
+226
+00:22:44,740 --> 00:22:51,420
+لأي element a و b من group G and any integer n
+
+227
+00:22:51,420 --> 00:22:57,390
+prove thatثم اثبت ان
+
+228
+00:22:57,390 --> 00:23:06,910
+ال a inverse b a to
+
+229
+00:23:06,910 --> 00:23:17,230
+the power n يسوى a inverse b in a و ال n هدا is an
+
+230
+00:23:17,230 --> 00:23:17,950
+integer
+
+231
+00:23:20,710 --> 00:23:26,430
+قال يثبت ان الطرفين هدول متساوين حد فيكوا حل هذا
+
+232
+00:23:26,430 --> 00:23:33,050
+السؤال؟ و لو نص حل يعني بال induction بس ال
+
+233
+00:23:33,050 --> 00:23:40,680
+induction اللي اتعلمناه على عدد صحيح موجة صح؟سكت
+
+234
+00:23:40,680 --> 00:23:45,380
+الشعور مش شكت في المبادئ أخدنا ال induction على إن
+
+235
+00:23:45,380 --> 00:23:49,900
+عدد صحيح موجه طيب نشوف بدنا نروح نستخدم ال
+
+236
+00:23:49,900 --> 00:23:53,580
+induction و نشوف هل الكلام هذا صحيح ولا لأ بس هنا
+
+237
+00:23:53,580 --> 00:23:58,110
+جالي انتجاريعني انت بدك تحسبه للموجب والسالب
+
+238
+00:23:58,110 --> 00:24:01,790
+والصفر في احد يقول كلامك صحيح لكن لو قال لي n
+
+239
+00:24:01,790 --> 00:24:06,230
+positive integer بستخدم ال induction مباشرة تبع
+
+240
+00:24:06,230 --> 00:24:11,750
+مبادئ الرياضيات وبوصل للنتيجة تمام بداجي اقول هنا
+
+241
+00:24:11,750 --> 00:24:20,690
+solution لو كانت ال n ب zero if ال n تساوي zero
+
+242
+00:24:20,690 --> 00:24:26,740
+thenالعلاقة هذه صحيحة ولا لأ تعالى نشوف اي عدد
+
+243
+00:24:26,740 --> 00:24:33,100
+مرفوع للـ O0 بكام بال identity يبقى ال E يبقى A
+
+244
+00:24:33,100 --> 00:24:41,490
+inverse ب O0 بال identity في Aمعناته ايش ان ال E
+
+245
+00:24:41,490 --> 00:24:46,950
+بده يساوي ال A inverse A يبقى ال E بده يساوي ال E
+
+246
+00:24:46,950 --> 00:24:51,290
+يبقى ال statement صحيحة يبقى باجي بقول هذا بده
+
+247
+00:24:51,290 --> 00:25:02,570
+يعطينا ان the statement hold صحيحة طيب لو كانت ال
+
+248
+00:25:02,570 --> 00:25:16,460
+N بواحد F ال N تساوي واحدthen the statement برضه
+
+249
+00:25:16,460 --> 00:25:17,580
+hold ولا لا؟
+
+250
+00:25:29,880 --> 00:25:37,560
+أفترض أنها صحيحة عند N تساوي K و أثبت صحتها عند N
+
+251
+00:25:37,560 --> 00:25:42,860
+تساوي K زائد واحد يبقى هنا ماجي بداجي أقول له
+
+252
+00:25:42,860 --> 00:25:46,880
+assume that
+
+253
+00:25:47,930 --> 00:25:55,910
+إن الـ a inverse b a to the power k بدي سوى a
+
+254
+00:25:55,910 --> 00:26:05,450
+inverse b ka و ال k أكبر من الواحد كمان و ال k
+
+255
+00:26:05,450 --> 00:26:14,470
+integer أكبر من الواحد هذا ال k integer and ال k
+
+256
+00:26:14,470 --> 00:26:19,180
+greater than oneطيب تمام
+
+257
+00:26:22,700 --> 00:26:28,420
+بدي أحاول أثبت صحة هذا الموضوع عند كزايد واحد يبقى
+
+258
+00:26:28,420 --> 00:26:35,520
+باجي بقوله consider خدلي a inverse ba to the power
+
+259
+00:26:35,520 --> 00:26:41,940
+k plus one انطلع الناتج a inverse bk plus one في a
+
+260
+00:26:41,940 --> 00:26:48,180
+بصير كلامنا معله صحيح يبقى هذا الكلام بده يساوي a
+
+261
+00:26:48,180 --> 00:26:51,500
+inverse ba في k
+
+262
+00:27:00,590 --> 00:27:11,330
+هذا الكلام انا فارضه هنا يبقى a inverseb to the
+
+263
+00:27:11,330 --> 00:27:18,790
+power of k a في من في ال a inverse ب a جبته من وين
+
+264
+00:27:18,790 --> 00:27:25,590
+from assumption من الفرض اللي انا فرضه مش جايبه من
+
+265
+00:27:25,590 --> 00:27:31,650
+كيسي انا فرضه ان هو صحيح طيب تعالوا تطلعوا لهدول
+
+266
+00:27:31,650 --> 00:27:37,920
+هدول بقداش ال a في ال a inverseبالـ identity
+
+267
+00:27:37,920 --> 00:27:45,020
+element يبقى هذا الكلام بيساوي A inverse بي كي في
+
+268
+00:27:45,020 --> 00:27:52,340
+ال E في ال بي A ال identity element اضرب في أي
+
+269
+00:27:52,340 --> 00:27:58,100
+element بيطلع نفس ال element يبقى هذا A inverse بي
+
+270
+00:27:58,100 --> 00:28:06,640
+كي في ال بي Aالـ B و الـ BK مش همارا BK plus one
+
+271
+00:28:06,640 --> 00:28:14,540
+يبقى هنا A inverse BK plus one في من؟ في الـ A
+
+272
+00:28:14,540 --> 00:28:20,260
+يبقى صارت ال statement مالها صحيحة هنا هذا بدي
+
+273
+00:28:20,260 --> 00:28:28,300
+يعطينا ال statement الجملة اللي عندنا hold ايش
+
+274
+00:28:28,300 --> 00:28:29,480
+ضايق عندنا؟
+
+275
+00:28:34,110 --> 00:28:43,270
+إذا كان الـ N أقل من Zero فأنا
+
+276
+00:28:43,270 --> 00:28:43,990
+بقدر أخليها موجب
+
+277
+00:28:47,900 --> 00:28:53,800
+يجب ان اضرب في قداش السالب يبقى السالب in بدها
+
+278
+00:28:53,800 --> 00:28:58,780
+تصير اكبر من ال zero لما تبقى ال in سالبة اضربها
+
+279
+00:28:58,780 --> 00:29:05,800
+في كمان سالبة تصير موجبة مظبوط طيب خد هنا المطلوب
+
+280
+00:29:05,800 --> 00:29:12,800
+اللي هو ال a inverse b a equal to the power nلو
+
+281
+00:29:12,800 --> 00:29:17,840
+ضربت يا شباب في الـ A inverse بـ A to the power
+
+282
+00:29:17,840 --> 00:29:24,940
+minus ال N كده بيطلع ال identity؟ لأنه بصير ال
+
+283
+00:29:24,940 --> 00:29:30,780
+element أُس Zero يبقى هذا يعطينا ال identity
+
+284
+00:29:30,780 --> 00:29:40,880
+element طيب هذا معناه إيش؟ معناه أن ال A inverseb
+
+285
+00:29:40,880 --> 00:29:48,960
+a to the power n بده يساوي a inverse b to the
+
+286
+00:29:48,960 --> 00:29:56,540
+minus n a هذا يعني هذا في هذا مش يساوي هذا في هذا
+
+287
+00:29:56,540 --> 00:30:02,720
+بده يعطينا ال identity صح هي الكلامي صح ولا غلط
+
+288
+00:30:02,720 --> 00:30:10,950
+هذا صح ليشلأن ناقص in أكبر من zero و احنا هنا لما
+
+289
+00:30:10,950 --> 00:30:14,470
+تبقى ال in أكبر من zero اثبتنا ال statement مالها
+
+290
+00:30:14,470 --> 00:30:24,910
+صحيحة يبقى this is a true because السبب ان ناقص in
+
+291
+00:30:24,910 --> 00:30:30,180
+greater than zero لأن المبرهنها هي فوقمشان هيك
+
+292
+00:30:30,180 --> 00:30:34,120
+صارت العبارة اللي عندها دي مالها صحيحة طب إيش
+
+293
+00:30:34,120 --> 00:30:39,740
+رايك؟ بدي أضرب في معكوس هذا العنصر و أشوف وين
+
+294
+00:30:39,740 --> 00:30:45,180
+بتودي الدنيا يبقى لو ضربت في معكوس هذا العنصر بصير
+
+295
+00:30:45,180 --> 00:30:52,520
+a inverse b a to the power n فاهمين؟ في ال a
+
+296
+00:30:52,520 --> 00:31:03,570
+inverse b to the minus nA كل هذا A في ال A inverse
+
+297
+00:31:03,570 --> 00:31:12,350
+B minus ال N A inverse بده يساوي طرف اليمين E في
+
+298
+00:31:12,350 --> 00:31:19,310
+main في ال A inverse B minus ال one A inverse
+
+299
+00:31:22,020 --> 00:31:27,320
+هذه المعادلة وصلت لها ضربت الطرفين في معكوس هذا
+
+300
+00:31:27,320 --> 00:31:33,020
+العنصر يبقى هي العنصر الأول هي الثاني هي معكوس
+
+301
+00:31:33,020 --> 00:31:37,360
+التاني حطيت ال inverse فوق يبقى هذا شو بده يعطيني
+
+302
+00:31:37,360 --> 00:31:42,440
+العنصر في معكسه ايش بيعطيني ال identity element في
+
+303
+00:31:42,440 --> 00:31:48,060
+اللي جابله نفس ال element يبقى الطرف الشمال بصير a
+
+304
+00:31:48,060 --> 00:31:56,900
+inverseبأ كله to the power n بده يساوي ال identity
+
+305
+00:31:56,900 --> 00:32:01,680
+element في العنصر بده يعطينا نفس العنصر يبقى هذا
+
+306
+00:32:01,680 --> 00:32:08,720
+بده يعطينا a inverse ب ب سالب n صلح ليها ب سالب ن
+
+307
+00:32:08,720 --> 00:32:17,800
+نضرب نهاية هنا يبقى a inverse ب لسالب n a كله
+
+308
+00:32:17,800 --> 00:32:18,380
+inverse
+
+309
+00:32:20,890 --> 00:32:26,990
+طيب هرجعلي هذه خدلي في الهامش لما اقول a b inverse
+
+310
+00:32:26,990 --> 00:32:33,030
+ايه يا شباب كده ايش تساوي بي انفرس ايه انفرس طب لو
+
+311
+00:32:33,030 --> 00:32:40,290
+قلت a b c inverse ايش بتساوي c inverse بي انفرس
+
+312
+00:32:40,290 --> 00:32:44,910
+ايه انفرس تمام هطبق هذا الكلام هنا يبقى هذا ايش
+
+313
+00:32:44,910 --> 00:32:54,410
+هيعطيلكهذا سيعطيك a inverse وهنا b minus ال n كله
+
+314
+00:32:54,410 --> 00:33:01,570
+inverse وهذا سيعطيك الهمين a inverse inverse
+
+315
+00:33:04,680 --> 00:33:09,940
+يبقى هذا الكلام بده يساوي هذي ال a inverse كما هي
+
+316
+00:33:09,940 --> 00:33:15,840
+و هذي الأسس تضرب في بعضها ضرب ناقص n في ناقص واحد
+
+317
+00:33:15,840 --> 00:33:22,580
+بيطلع جديش اللي هو بيوس n و a inverse inverse هي
+
+318
+00:33:22,580 --> 00:33:28,230
+ال element aيبقى صحيحة برضه في حالة السالب ولا لا
+
+319
+00:33:28,230 --> 00:33:36,330
+إذا صحيحة للكل يبقى أثبتناها لل zero و لل واحد و
+
+320
+00:33:36,330 --> 00:33:41,550
+للموجب و السالب إذا هي صحيحة ل any integer بعد ذلك
+
+321
+00:33:41,550 --> 00:33:47,210
+حد بيحب يسأل أي سؤال هناالسؤال فكرته جيدة كتير
+
+322
+00:33:47,210 --> 00:33:52,890
+الحقيقة لأن الدرجة اللى متعرف عليه اللى فيه مبادئ
+
+323
+00:33:52,890 --> 00:33:58,090
+الرياضيات نستخدم ال induction لعدد الصحيح الموجب
+
+324
+00:33:58,090 --> 00:34:03,170
+لكن استخدمنا للموجب والسالب وطلعنا نتيجة صحيحة في
+
+325
+00:34:03,170 --> 00:34:12,620
+كل حالة هذا كان سؤال تسعتاشرالان بعد تسعة عشر عنا
+
+326
+00:34:12,620 --> 00:34:17,400
+مين عنا سؤال أربعة و عشرين ب deconstruct K ليه
+
+327
+00:34:17,400 --> 00:34:22,300
+تابل لليه و اتناش كلمة K ليه تابل جديدة على ما
+
+328
+00:34:22,300 --> 00:34:26,780
+سامعنا جداش قولنا الحين السؤال اربعة و عشرين
+
+329
+00:34:26,780 --> 00:34:30,600
+بالنسبالي الهامشة السواء كان تبديل او غير تبديل
+
+330
+00:34:30,600 --> 00:34:34,260
+الصحيح بالجملة اللي هي مين اللي في الهامش و ده
+
+331
+00:34:34,260 --> 00:34:34,900
+اللي في الهامش
+
+332
+00:34:38,020 --> 00:34:45,100
+هذه non abelian group لا لو كانت abelian بدل زي ما
+
+333
+00:34:45,100 --> 00:34:49,840
+بدها بس non abelian بيبقى ترتب الأخر الثاني الأول
+
+334
+00:34:49,840 --> 00:34:54,480
+هاي الأخر الثاني الأول نقلب الوضع سباحة مقدمة مش
+
+335
+00:34:54,480 --> 00:34:56,920
+تلاتة ان شاء الله يكونوا عشرين ببدأ من ال عشرين
+
+336
+00:34:56,920 --> 00:35:02,880
+تسعة عشر تمنتاشر الاخرين نجي الآن لسؤال أربعة و
+
+337
+00:35:02,880 --> 00:35:08,980
+عشرين بدي كيلو تبل لليو اتماشريبقى هذه ال U 12
+
+338
+00:35:08,980 --> 00:35:15,340
+اللي عناصرها الواحد اتنين تلاتة اربعة خمسة ستة
+
+339
+00:35:15,340 --> 00:35:21,640
+سابعة تمانية تسعة عشر احداشر تمام؟ لما يقول ال K
+
+340
+00:35:21,640 --> 00:35:25,080
+لي ال table يعني بدي اضرب العناصر في بعض وشوف كيف
+
+341
+00:35:25,080 --> 00:35:31,520
+النتجة فباجي بقوله هذا الجدولو بعدين بحط العناصر
+
+342
+00:35:31,520 --> 00:35:38,720
+واحد خمسة سبعة احداشر و هنا واحد خمسة سبعة احداشر
+
+343
+00:35:38,720 --> 00:35:45,140
+و بعدين بجسمها الى جدول بهذا الشكل و هنا بشتغل
+
+344
+00:35:45,140 --> 00:35:50,640
+أفقي بالشكل اللي عندنا هذا و بعدين أعبي هذا الجدول
+
+345
+00:35:50,640 --> 00:36:01,380
+تمام؟ الان هنا ده كله العملية module 12الان العنصر
+
+346
+00:36:01,380 --> 00:36:04,280
+الوحيد اللى مانتظره في أي عنصر بيطلع نفس العنصر
+
+347
+00:36:12,890 --> 00:36:16,810
+كيف هذه؟ واحد في واحد بواحد، واحد في خمسة بخمسة،
+
+348
+00:36:16,810 --> 00:36:19,910
+واحد في سبعة بسبعة، واحد في أحداشر بأحداشر،
+
+349
+00:36:19,910 --> 00:36:23,990
+الانبعاد ده رأسي، واحد في واحد بواحد، واحد في خمسة
+
+350
+00:36:23,990 --> 00:36:27,690
+بخمسة، واحد في سبعة بسبعة، واحد في أحداشر بأحداشر،
+
+351
+00:36:27,690 --> 00:36:31,350
+طبعا هذه ال group ابداليه وبالتالي يمين ومول وشمال
+
+352
+00:36:31,350 --> 00:36:35,150
+ماتفرقش عننا، بعدين تجيب العناصر هنا، هذا من؟ هو
+
+353
+00:36:35,150 --> 00:36:41,210
+عبارة عن خمسة في خمسة، خمسة في خمسة، خمسة وعشرين،
+
+354
+00:36:41,210 --> 00:36:48,370
+تمام؟موديولو اتناش اه اللي هو واحد تمام؟ الان خمسة
+
+355
+00:36:48,370 --> 00:36:54,150
+في سبعة بخمسة و تلاتين موديولو اتناش اللي هو
+
+356
+00:36:54,150 --> 00:37:00,210
+الاحداش الان خمسة في احداش بخمسة و خمسين موديولو
+
+357
+00:37:00,210 --> 00:37:05,750
+احداش اللي هو كده؟ سبعة بالشكل اللي انا اناممنوع
+
+358
+00:37:05,750 --> 00:37:10,710
+الرقم يتكرر مرتين في نفس الصفر يعني الخط هذا و
+
+359
+00:37:10,710 --> 00:37:15,690
+الخط التاني اللي جوا هذا ممنوع يتكرر الرقم إلا مرة
+
+360
+00:37:15,690 --> 00:37:19,850
+واحدة امسك خمسة واحد احداجر سبعة هما العناصر من
+
+361
+00:37:19,850 --> 00:37:24,530
+اللي فوق و هكذا الآن سبعة في واحدة سبعة سبعة في
+
+362
+00:37:24,530 --> 00:37:31,350
+خمسة خمسة و تلاتين خمسة و تلاتين بصير عند إيش اللي
+
+363
+00:37:31,350 --> 00:37:34,980
+هو احداشراللي بعده سبعة في سبعة بتسعة واربعين
+
+364
+00:37:34,980 --> 00:37:37,880
+اربعة في اتناشر تسعة واربعين ويبقى له واحد الان
+
+365
+00:37:37,880 --> 00:37:42,660
+واني مغمط بقدر احط الرقم بدون محسب الرقم اللي ضايل
+
+366
+00:37:42,660 --> 00:37:47,160
+طبعا الان لو جيت احداش وحدة احداش في خمسة خمسة
+
+367
+00:37:47,160 --> 00:37:53,100
+وخمسين اللي هو السبعة احداش في سبعة بسبعة وسبعين
+
+368
+00:37:53,100 --> 00:37:59,780
+سبعة وسبعين يعني كده ايش بيطلع ستة اربعة بيطلع
+
+369
+00:37:59,780 --> 00:38:06,160
+واحد من هدول يا راجليبقى خمسة ضل الغايب اللى هو
+
+370
+00:38:06,160 --> 00:38:09,520
+العنصر اللى هو الواحد تمام يبقى هيك بنشتغل بالجدول
+
+371
+00:38:09,520 --> 00:38:14,000
+الكلام اللى سمعته بده أطبقه على السؤال اللى بعده
+
+372
+00:38:14,000 --> 00:38:18,680
+ونشوف هذا سهل علشانها أرقام سهلة يعني سهل الشغل
+
+373
+00:38:18,680 --> 00:38:25,300
+فيها تماما الان في عندك ال table جاهزة بس بالرموز
+
+374
+00:38:25,300 --> 00:38:28,860
+بده أشوف كيف تعبولي هذه الرموز
+
+375
+00:38:41,310 --> 00:38:47,930
+الان سؤال خمسة و عشرين برضه جدول الشكل اللي عندنا
+
+376
+00:38:47,930 --> 00:39:00,390
+هنا الجدول ميعطيني E و A B C D E و A B C D تمام و
+
+377
+00:39:00,390 --> 00:39:06,730
+قسمها بالشكل اللي عندنا هذا وهيقفلنا الجدول و هنا
+
+378
+00:39:06,730 --> 00:39:21,050
+E و هنا Aو هنا B و هنا C و هنا D و راح أبالي في
+
+379
+00:39:21,050 --> 00:39:30,110
+الجدول حطلي هنا E و تاني حطلي هنا Bجبال A حطلي B
+
+380
+00:39:30,110 --> 00:39:44,370
+وعند ال B حط C D E C D E C D E و جبال SC حطلي D و
+
+381
+00:39:44,370 --> 00:39:52,350
+بعد C حطلي D و بعدين A بيه A و هنا بيه و اللي بعده
+
+382
+00:39:52,350 --> 00:39:55,730
+فرق كله كيف؟
+
+383
+00:39:57,720 --> 00:40:05,680
+في ايه؟ اه الأخير ايه؟ هنا ايه؟ تمام والباقي كله
+
+384
+00:40:05,680 --> 00:40:09,840
+تمام يبقى هاي الجدول اللي عندك وقال يعبي هالفرار
+
+385
+00:40:09,840 --> 00:40:15,840
+هذا من خلال هالاشكال اللي عندك تمام؟مشان انميز من
+
+386
+00:40:15,840 --> 00:40:20,570
+بين الاتنين انا حاب الفرار بلون تانيالان هذا ال
+
+387
+00:40:20,570 --> 00:40:24,170
+identity لو ضربت في اي element بدي يطلع نفس ال
+
+388
+00:40:24,170 --> 00:40:31,810
+element يبقى هنا a,b,c,d بنفس الطريقة هنا a,b,c,d
+
+389
+00:40:31,810 --> 00:40:36,650
+يبقى ضايق لأن بعض الفرقات هنا اتنين تلاتة اربعة
+
+390
+00:40:36,650 --> 00:40:41,650
+وصف الأخير اذا عبيت واحد اتنين تلاتة اربعة وصف
+
+391
+00:40:41,650 --> 00:40:46,770
+الأخير تحصيل حصل العنصر اللي غايب هو العنصر تمام
+
+392
+00:40:46,770 --> 00:40:59,300
+كيف؟صفة تالت هذا يعني؟ بدي واحد يحكي بس ايوة ايوه
+
+393
+00:40:59,300 --> 00:41:05,540
+هان ماله؟ بدي ايه؟ احط بيه؟ ايه؟ بيه؟ مقبض هنا
+
+394
+00:41:05,540 --> 00:41:13,160
+ايه؟ هاي عبناله يعني صار العمود هذا جاهز ثانى شوية
+
+395
+00:41:13,160 --> 00:41:19,760
+عندك اين دي؟ دي دول هنا جداش؟ Cالعمود التالت عمود
+
+396
+00:41:19,760 --> 00:41:25,820
+التالت هذا إيه؟ إيه تمام ميري مية المية بقى برضه
+
+397
+00:41:25,820 --> 00:41:34,040
+المشكلة قاعدة هذا هذا لا إيه موجودة هذا إيه تمام
+
+398
+00:41:34,040 --> 00:41:39,380
+ضايل إيش عندنا ضايل هنا في عنصرين و هنا في عنصرين
+
+399
+00:41:39,380 --> 00:41:45,360
+هنا في اتنين و هنا في اتنين مشكلة مش
+
+400
+00:41:45,360 --> 00:41:46,060
+هتكره بس
+
+401
+00:41:50,390 --> 00:41:57,910
+طيب إذا حلنا واحد بتبقى انحلت قضيتنا، كيف؟ ده قطر
+
+402
+00:41:57,910 --> 00:42:02,510
+مافيش حد، ده قطر، ضرب، وفق برأسي، مالك أنت؟في حد
+
+403
+00:42:02,510 --> 00:42:11,750
+عنده اقتراح؟ ايوة في
+
+404
+00:42:11,750 --> 00:42:16,550
+عندي هي اتنين و هنا اتنين وجيت اخوك بهنا اتنين و
+
+405
+00:42:16,550 --> 00:42:21,350
+هنا اتنين هنا؟
+
+406
+00:42:21,350 --> 00:42:27,470
+ايش هحط؟ دي طب
+
+407
+00:42:27,470 --> 00:42:31,100
+كيف هتحطها؟ كيف؟أستاذ استاذ استاذ استاذ استاذ
+
+408
+00:42:31,100 --> 00:42:34,280
+استاذ استاذ استاذ استاذ استاذ استاذ استاذ استاذ
+
+409
+00:42:34,280 --> 00:42:37,120
+استاذ استاذ استاذ استاذ استاذ استذ استذ استذ استذ
+
+410
+00:42:37,120 --> 00:42:41,440
+استذ استذ استذ استذ استذ استذ استذ استذ استذ استذ
+
+411
+00:42:41,440 --> 00:42:41,720
+استذ استذ استذ استذ استذ استذ استذ استذ استذ استذ
+
+412
+00:42:41,720 --> 00:42:42,660
+استذ استذ استذ استذ استذ استذ استذ استذ استذ استذ
+
+413
+00:42:42,660 --> 00:42:43,140
+استذ استذ استذ استذ استذ استذ استذ استذ استذ استذ
+
+414
+00:42:43,140 --> 00:42:58,540
+استذ استذ استذ استذ استذ استذ استذ استذ استذ است
+
+415
+00:42:58,920 --> 00:43:08,560
+ب في إيه؟ ليش هي إبدالية؟ ماقلليش إبدالية؟ رأس
+
+416
+00:43:08,560 --> 00:43:13,080
+نقطة، رأس رمز،
+
+417
+00:43:13,080 --> 00:43:16,280
+رأس في العمون فيه ب، في الأخر مافيش ب
+
+418
+00:43:21,670 --> 00:43:32,290
+هنا؟ في هنا في element هنا في واحد هنا يا
+
+419
+00:43:32,290 --> 00:43:38,970
+الله مافيه اتنين فيه رمزين هنا برضه طب شوف شغلها
+
+420
+00:43:38,970 --> 00:43:44,170
+العفرة شوف شغلها العفرة يا رياضيل ايه وقول و ارينا
+
+421
+00:43:44,170 --> 00:43:44,470
+شوف
+
+422
+00:43:48,580 --> 00:43:51,900
+لازم يطلع فيه C لأنه لازم يكون في السطر اللي هي C
+
+423
+00:43:51,900 --> 00:43:57,120
+إيه إنه C قصدك؟ لأ غاد هذا C؟ لازم يطلع فيه C طيب
+
+424
+00:43:57,120 --> 00:44:00,380
+فمش ممكن يطلع فيه .. ليش يطلع فيه C؟ منفعش يطلع
+
+425
+00:44:00,380 --> 00:44:05,120
+لهذه سطر، نفهم منه، نفهم منها، منفعش يطلع في
+
+426
+00:44:05,120 --> 00:44:08,680
+الجنبه لإنه فيه في جهة C عشان يكون وفقه و منفعش
+
+427
+00:44:08,680 --> 00:44:11,180
+يطلع في اللي تحت عشان فيه غاد C فبقى الشركة اللي
+
+428
+00:44:11,180 --> 00:44:17,540
+مدتش تغير رياضيمظبوط يا حزيزي ايش رأيك لو جيه تقول
+
+429
+00:44:17,540 --> 00:44:27,800
+لك a في a قد ايش بده يساوي a في a ب b تمام طيب و b
+
+430
+00:44:27,800 --> 00:44:39,760
+في b b في b ب d طب لو قوللك c في c c في c ب a
+
+431
+00:44:39,760 --> 00:44:41,960
+مظبوط
+
+432
+00:44:43,310 --> 00:44:50,990
+طيب ايش رأيك لو جيت اخد ايه في بي ايه في بي يعني
+
+433
+00:44:50,990 --> 00:44:55,750
+اللي يعني مديها ده عارفة كدهش طيب بلغتنا هنا ايه
+
+434
+00:44:55,750 --> 00:45:04,110
+في بي بدي ساوي c في c في a في a مظبوط؟
+
+435
+00:45:04,420 --> 00:45:11,220
+هذا A في B يبقى C C A A تمام هذا الكلام بده يساوي
+
+436
+00:45:11,220 --> 00:45:23,300
+C C في A يبقى C في A ايش بتطلع D يبقى C D A تمام
+
+437
+00:45:23,300 --> 00:45:31,740
+طب لو جيت الان D في A ايش بيطلع عندي E يبقى C E
+
+438
+00:45:31,740 --> 00:45:38,890
+يبقى ب Cماشي يبقى الحين صارت هذه C وبالتالي هذه
+
+439
+00:45:38,890 --> 00:45:46,170
+ايش صارت D وبالتالي انحلت كل المشاكل صار C D E A
+
+440
+00:45:46,170 --> 00:45:54,170
+يبقى هنا B وB C D A يبقى هنا A شغل رياضي سليم ولا
+
+441
+00:45:54,170 --> 00:45:58,150
+واحد بيقدر يقولك فيه اي شغل اي شغل رياضي مظبوط من
+
+442
+00:45:58,150 --> 00:46:02,770
+خلال الجدوليبقى انت بدك تروح تعبي اللي عندك من
+
+443
+00:46:02,770 --> 00:46:09,110
+خلال المياه من خلال الجدول طيب السؤال اللي بعد هو
+
+444
+00:46:09,110 --> 00:46:15,590
+سؤال ستة وعشرين سؤال ستة وعشرين بيقول ما يأتي
+
+445
+00:46:15,590 --> 00:46:24,990
+prove that اذا كان if ال a b لكل تربيع يساوي a
+
+446
+00:46:24,990 --> 00:46:32,840
+تربيع b تربيع thenالـ A في B بده يساوي مين؟ بده
+
+447
+00:46:32,840 --> 00:46:38,900
+يساوي الـ B في A طبعا بدي أثبت أن الـ A في B بده
+
+448
+00:46:38,900 --> 00:46:44,060
+يساوي الـ B في A القصة
+
+449
+00:46:44,060 --> 00:46:49,160
+بسيطة جدا، ماقالليش جي أبيليان، لو قاللي جي
+
+450
+00:46:49,160 --> 00:46:52,160
+أبيليان كان قضيتي محلولة، ماقاللي جي أبيليان، لكن
+
+451
+00:46:52,160 --> 00:46:59,080
+أنا عندي consider خُدلي A بي لكل تربيع اللي هو بدأ
+
+452
+00:46:59,080 --> 00:47:07,550
+فيهاما ده مش ab يعني يبقى a في b في a في b صح ولا
+
+453
+00:47:07,550 --> 00:47:15,190
+لا طيب هذه تساوي من المعطيات a تربية b تربية شوف
+
+454
+00:47:15,190 --> 00:47:20,490
+القانون الشطب الأي ملي بي وقانون الشطب الأي صارلي
+
+455
+00:47:20,490 --> 00:47:26,490
+a يبقى هذا ايش بدي اعطيلك يعني ا بمعنى اخرلو ضربت
+
+456
+00:47:26,490 --> 00:47:30,970
+هذه المعادلة من جهة الشمال في a inverse وضربت من
+
+457
+00:47:30,970 --> 00:47:36,090
+جهة اليمين في b inverse او ال left cancellation
+
+458
+00:47:36,090 --> 00:47:39,970
+law و ال right cancellation law يبقى هذا الخط
+
+459
+00:47:39,970 --> 00:47:46,630
+عضطيني بي اي بيزي ساوة من a في b لما اضرب هنا في a
+
+460
+00:47:46,630 --> 00:47:51,010
+inverse بطير هذه و بطير واحد من التربية فهيظل هنا
+
+461
+00:47:51,010 --> 00:47:58,550
+عندي قداش aبتظهر بي انفرست بيظهر بي انفرست بيظهر
+
+462
+00:47:58,550 --> 00:48:04,190
+بي انفرست
+
+463
+00:48:04,190 --> 00:48:06,730
+بيظهر بيظهر بيظهر بيظهر بيظهر بيظهر بيظهر بيظهر
+
+464
+00:48:06,730 --> 00:48:07,870
+بيظهر بيظهر بيظهر بيظهر بيظهر بيظهر بيظهر بيظهر
+
+465
+00:48:07,870 --> 00:48:13,810
+بيظهر بيظهر بيظهر بيظهر بيظهر بيظهر
+
+466
+00:48:13,810 --> 00:48:20,110
+ب
+
+467
+00:48:22,250 --> 00:48:29,750
+تلاتة وتلاتين اذا كان ال a xb تلاتة وتنقل a xb
+
+468
+00:48:29,750 --> 00:48:37,570
+يسوى ال c xd يسوى ال c xd هذا يتطلب ان ال a b بده
+
+469
+00:48:37,570 --> 00:48:43,610
+يسوى ال c d عند الخاصية هذه بقول تحت ال proof that
+
+470
+00:48:43,610 --> 00:48:49,530
+ال g is abelian اثبت ان ال g هذه is abelian
+
+471
+00:48:54,000 --> 00:49:01,600
+شو بييللي انه جى قابيليا بيتلي
+
+472
+00:49:01,600 --> 00:49:08,400
+انه جى قابيليا بقوله ال proof الان
+
+473
+00:49:08,400 --> 00:49:18,000
+انا لو جيت علمين مثلامعطبة معنا العلاقة لأنها AXB
+
+474
+00:49:18,000 --> 00:49:23,700
+بيبقى CXD بيقول لو حصل هذا الكلام عندك اذا
+
+475
+00:49:23,700 --> 00:49:28,920
+automatic كأنه بدي اشطب X من هنا و اشطب X هنا من
+
+476
+00:49:28,920 --> 00:49:33,380
+المصر طبعا رياضيا لأ بس انا بقول كأنه رياضيا لأ
+
+477
+00:49:33,730 --> 00:49:38,110
+يبقى هنا كإنه a بيبدوا يساوي main CD يعني إذا
+
+478
+00:49:38,110 --> 00:49:45,750
+أعطيت هذه ف a بيبدوا يساوي ال CD الآن أنا بدي
+
+479
+00:49:45,750 --> 00:49:49,650
+أحاول أثبت أنه g a b لإن يعني بدي أثبت أن ال a في
+
+480
+00:49:49,650 --> 00:49:54,410
+b بيبدوا يساوي b في a لكل ال a و ال b اللي موجودة
+
+481
+00:49:54,410 --> 00:50:00,250
+وين في g طب الآن لو جيت العنصر b مش هو b ولا لأ
+
+482
+00:50:03,250 --> 00:50:12,990
+صح؟ طب إيش رايك لو جيت قلتلك ال a a inverse b هل
+
+483
+00:50:12,990 --> 00:50:21,130
+يساوي ال b في ال a inverse a ولا لا؟ لأن هذا ال
+
+484
+00:50:21,130 --> 00:50:27,110
+identity وهذا ال identity، مظبوط؟ طب اتطلع العنصر
+
+485
+00:50:27,110 --> 00:50:33,110
+اللي في المص هناوالعنصر اللى فى النص ده هو نفسه
+
+486
+00:50:33,110 --> 00:50:37,950
+وحاصل ضرب تلت عناصر زى ما انت شايف بيساووا بعض
+
+487
+00:50:37,950 --> 00:50:43,210
+يبقى بال assumption ايش بدي يطلع a فى b بدى يساوي
+
+488
+00:50:43,210 --> 00:50:51,610
+b فى a يبقى g is abelian يبقى هنا from assumption
+
+489
+00:50:51,610 --> 00:50:54,790
+we
+
+490
+00:50:54,790 --> 00:51:02,250
+haveإن ال A بيبدي سوى ال B إيه هذا بدي أعطينا إن
+
+491
+00:51:02,250 --> 00:51:09,530
+ال G is abelian يعني أنا تحت هذه الخاصية قدرت أحكم
+
+492
+00:51:09,530 --> 00:51:13,910
+على G is abelian لو الخاصية هذه مش عندي لأ يمكن
+
+493
+00:51:13,910 --> 00:51:20,510
+أقدر أثبت أو أبين إن ال G هذه عبارة عن abelian
+
+494
+00:51:20,510 --> 00:51:21,330
+group
+
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/6-VZH90aeqE_raw.json b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/6-VZH90aeqE_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..c3953004c05e4e3b62dccfa96e18f769d9f4bc7e
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/6-VZH90aeqE_raw.json
@@ -0,0 +1 @@
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{"start": 963.66, "end": 964.14, "word": " واحد", "probability": 0.989013671875}, {"start": 964.14, "end": 964.84, "word": " هذا", "probability": 0.96875}, {"start": 964.84, "end": 965.4, "word": " الكلام", "probability": 0.9651692708333334}, {"start": 965.4, "end": 965.96, "word": " كله", "probability": 0.989013671875}, {"start": 965.96, "end": 966.42, "word": " ايه", "probability": 0.9593098958333334}], "temperature": 1.0}, {"id": 41, "seek": 99473, "start": 966.97, "end": 994.73, "text": "كله مضيوله in تمام يعني كل ال in هذي بده يشيلها طيب هذي in تربيه باعتبارها قداش zero سالب اتنين in كمان zero لإن كل in بده كده تحذفها ومضعفها تقدرش بيضل عندنا بيضل اللي هو الواحد يبقى بناء عليه عند العنصرين هدول هم اللذان يحققان", "tokens": [28820, 3224, 3714, 11242, 1829, 12610, 3224, 294, 46811, 10943, 37495, 22653, 28242, 2423, 294, 8032, 8848, 1829, 47525, 3224, 7251, 8592, 26895, 11296, 23032, 1829, 3555, 8032, 8848, 1829, 294, 6055, 2288, 21292, 3224, 4724, 995, 34268, 3555, 9640, 11296, 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هيك", "probability": 0.964111328125}, {"start": 1004.13, "end": 1006.21, "word": " سؤال", "probability": 0.718017578125}, {"start": 1006.21, "end": 1006.79, "word": " سبعتاش", "probability": 0.94384765625}, {"start": 1006.79, "end": 1007.23, "word": " نمسح", "probability": 0.9697265625}, {"start": 1007.23, "end": 1007.75, "word": " الناحية", "probability": 0.86962890625}, {"start": 1007.75, "end": 1008.19, "word": " هذه", "probability": 0.31298828125}], "temperature": 1.0}, {"id": 43, "seek": 105094, "start": 1023.16, "end": 1050.94, "text": "السؤال السبعتاشر بيقول ما ياتي ان جي أبيليان if and only if السؤال السبعتاشر جي أبيليان if and only if اللي هو من ال a b الكل inverse ال a b الكل inverse بده ساوي ال a inverse", "tokens": [6027, 3794, 33604, 6027, 21136, 3555, 34268, 33599, 2288, 4724, 1829, 39648, 19446, 7251, 9307, 1829, 16472, 10874, 1829, 5551, 21292, 20292, 7649, 498, 293, 787, 498, 21136, 33604, 6027, 21136, 3555, 34268, 33599, 2288, 10874, 1829, 5551, 21292, 20292, 7649, 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if", "probability": 0.4853515625}, {"start": 1028.18, "end": 1028.54, "word": " and", "probability": 0.94873046875}, {"start": 1028.54, "end": 1028.9, "word": " only", "probability": 0.8525390625}, {"start": 1028.9, "end": 1029.44, "word": " if", "probability": 0.9658203125}, {"start": 1029.44, "end": 1030.54, "word": " السؤال", "probability": 0.7513020833333334}, {"start": 1030.54, "end": 1031.6, "word": " السبعتاشر", "probability": 0.93095703125}, {"start": 1031.6, "end": 1032.26, "word": " جي", "probability": 0.860595703125}, {"start": 1032.26, "end": 1034.76, "word": " أبيليان", "probability": 0.941162109375}, {"start": 1034.76, "end": 1036.08, "word": " if", "probability": 0.96240234375}, {"start": 1036.08, "end": 1036.6, "word": " and", "probability": 0.9638671875}, {"start": 1036.6, "end": 1037.06, "word": " only", "probability": 0.90234375}, {"start": 1037.06, "end": 1037.78, "word": " if", "probability": 0.9833984375}, {"start": 1037.78, "end": 1038.86, "word": " اللي", 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1075.46, "end": 1076.02, "word": " assume", "probability": 0.95361328125}, {"start": 1076.02, "end": 1077.78, "word": " that", "probability": 0.939453125}, {"start": 1077.78, "end": 1078.68, "word": " ان", "probability": 0.77880859375}, {"start": 1078.68, "end": 1079.0, "word": " ال", "probability": 0.9580078125}, {"start": 1079.0, "end": 1079.32, "word": " g", "probability": 0.958984375}, {"start": 1079.32, "end": 1079.92, "word": " is", "probability": 0.95068359375}, {"start": 1079.92, "end": 1081.16, "word": " abelian", "probability": 0.9103190104166666}], "temperature": 1.0}, {"id": 46, "seek": 111261, "start": 1085.58, "end": 1112.62, "text": "مدام ابيليان بدي اثبت ايش بدي اثبت انه a b لكل inverse بدي يسوي a inverse b inverse لكن احنا اثبتنا سابقا ان ال a b لكل inverse يسوي b inverse a inverse يبقى هذا الكلام باجي بقوله ال a b inverse بدي يسوي اللي هو b inverse a inverse مظبوط", "tokens": [2304, 3215, 10943, 1975, 21292, 20292, 7649, 4724, 16254, 1975, 12984, 3555, 2655, 1975, 1829, 8592, 4724, 16254, 1975, 12984, 3555, 2655, 16472, 3224, 257, 272, 5296, 28820, 17340, 4724, 16254, 7251, 3794, 45865, 257, 17340, 272, 17340, 44381, 1975, 5016, 8315, 1975, 12984, 3555, 2655, 8315, 8608, 16758, 4587, 995, 16472, 2423, 257, 272, 5296, 28820, 17340, 7251, 3794, 45865, 272, 17340, 257, 17340, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 4724, 26108, 1829, 4724, 39648, 3224, 2423, 257, 272, 17340, 4724, 16254, 7251, 3794, 45865, 13672, 1829, 31439, 272, 17340, 257, 17340, 3714, 19913, 3555, 2407, 9566], "avg_logprob": -0.2060643517144836, "compression_ratio": 2.18125, "no_speech_prob": 0.0, "words": [{"start": 1085.58, "end": 1086.12, "word": "مدام", "probability": 0.5062662760416666}, {"start": 1086.12, "end": 1086.74, "word": " ابيليان", "probability": 0.593505859375}, {"start": 1086.74, "end": 1087.0, "word": " بدي", "probability": 0.64208984375}, {"start": 1087.0, "end": 1087.44, "word": " اثبت", "probability": 0.9371337890625}, {"start": 1087.44, "end": 1087.8, "word": " ايش", "probability": 0.82568359375}, {"start": 1087.8, "end": 1088.18, "word": " بدي", "probability": 0.7017822265625}, {"start": 1088.18, "end": 1088.68, "word": " اثبت", "probability": 0.9781494140625}, {"start": 1088.68, "end": 1089.02, "word": " انه", "probability": 0.64404296875}, {"start": 1089.02, "end": 1089.2, "word": " a", "probability": 0.403076171875}, {"start": 1089.2, "end": 1089.52, "word": " b", "probability": 0.488525390625}, {"start": 1089.52, "end": 1090.12, "word": " لكل", "probability": 0.7193603515625}, {"start": 1090.12, "end": 1091.0, "word": " inverse", "probability": 0.7958984375}, {"start": 1091.0, "end": 1091.68, "word": " بدي", "probability": 0.70703125}, {"start": 1091.68, "end": 1092.08, "word": " يسوي", "probability": 0.8028971354166666}, {"start": 1092.08, "end": 1092.4, "word": " a", "probability": 0.951171875}, {"start": 1092.4, "end": 1092.96, "word": " inverse", "probability": 0.87890625}, {"start": 1092.96, "end": 1093.16, "word": " b", "probability": 0.6787109375}, {"start": 1093.16, "end": 1093.46, "word": " inverse", "probability": 0.83349609375}, {"start": 1093.46, "end": 1093.76, "word": " لكن", "probability": 0.8427734375}, {"start": 1093.76, "end": 1094.32, "word": " احنا", "probability": 0.9864908854166666}, {"start": 1094.32, "end": 1095.4, "word": " اثبتنا", "probability": 0.916015625}, {"start": 1095.4, "end": 1096.34, "word": " سابقا", "probability": 0.9927978515625}, {"start": 1096.34, "end": 1096.9, "word": " ان", "probability": 0.92822265625}, {"start": 1096.9, "end": 1097.16, "word": " ال", "probability": 0.71826171875}, {"start": 1097.16, "end": 1097.38, "word": " a", "probability": 0.9462890625}, {"start": 1097.38, "end": 1097.66, "word": " b", "probability": 0.927734375}, {"start": 1097.66, "end": 1098.0, "word": " لكل", "probability": 0.96875}, {"start": 1098.0, "end": 1098.38, "word": " inverse", "probability": 0.94873046875}, {"start": 1098.38, "end": 1098.84, "word": " يسوي", "probability": 0.84130859375}, {"start": 1098.84, "end": 1099.3, "word": " b", "probability": 0.84033203125}, {"start": 1099.3, "end": 1099.86, "word": " inverse", "probability": 0.85009765625}, {"start": 1099.86, "end": 1100.22, "word": " a", "probability": 0.96826171875}, {"start": 1100.22, "end": 1100.8, "word": " inverse", "probability": 0.83740234375}, {"start": 1100.8, "end": 1101.72, "word": " يبقى", "probability": 0.9490966796875}, {"start": 1101.72, "end": 1102.02, "word": " هذا", "probability": 0.95263671875}, {"start": 1102.02, "end": 1102.58, "word": " الكلام", "probability": 0.96240234375}, {"start": 1102.58, "end": 1102.98, "word": " باجي", "probability": 0.8191731770833334}, {"start": 1102.98, "end": 1103.58, "word": " بقوله", "probability": 0.9306640625}, {"start": 1103.58, "end": 1103.84, "word": " ال", "probability": 0.8603515625}, {"start": 1103.84, "end": 1104.44, "word": " a", "probability": 0.95654296875}, {"start": 1104.44, "end": 1105.12, "word": " b", "probability": 0.95947265625}, {"start": 1105.12, "end": 1106.66, "word": " inverse", "probability": 0.92578125}, {"start": 1106.66, "end": 1107.14, "word": " بدي", "probability": 0.874755859375}, {"start": 1107.14, "end": 1107.7, "word": " يسوي", "probability": 0.8876953125}, {"start": 1107.7, "end": 1108.38, "word": " اللي", "probability": 0.85498046875}, {"start": 1108.38, "end": 1108.52, "word": " هو", "probability": 0.880859375}, {"start": 1108.52, "end": 1108.96, "word": " b", "probability": 0.9140625}, {"start": 1108.96, "end": 1109.96, "word": " inverse", "probability": 0.84326171875}, {"start": 1109.96, "end": 1110.5, "word": " a", "probability": 0.98974609375}, {"start": 1110.5, "end": 1111.36, "word": " inverse", "probability": 0.83056640625}, {"start": 1111.36, "end": 1112.62, "word": " مظبوط", "probability": 0.933984375}], "temperature": 1.0}, {"id": 47, "seek": 114080, "start": 1113.12, "end": 1140.8, "text": "لكن هو ايش قال لي جي مالها يبقى بقدر ابدل زي ما انا عايزه مالوش كلام عندي يبقى هنا هذا الكلام بده يساوي A inverse B inverse ليش؟ because السبب ان ال G is abelian يبقى اثبتنا الاتجاه الأول بده اروح الآن لمن؟ للاتجاه الثاني", "tokens": [1211, 19452, 31439, 1975, 1829, 8592, 50239, 32239, 10874, 1829, 3714, 6027, 11296, 7251, 3555, 4587, 7578, 4724, 28543, 2288, 1975, 44510, 1211, 30767, 1829, 19446, 1975, 8315, 6225, 47302, 11622, 3224, 3714, 6027, 2407, 8592, 28242, 10943, 18871, 16254, 7251, 3555, 4587, 7578, 34105, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 316, 17340, 363, 17340, 32239, 8592, 22807, 570, 21136, 3555, 3555, 16472, 2423, 460, 307, 410, 338, 952, 7251, 3555, 4587, 7578, 1975, 12984, 3555, 2655, 8315, 2423, 9307, 7435, 40294, 16247, 12610, 47525, 3224, 1975, 32887, 5016, 6024, 48506, 5296, 27842, 22807, 24976, 9307, 7435, 40294, 6024, 104, 7649, 1829], "avg_logprob": -0.24678738846957127, "compression_ratio": 1.721698113207547, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1113.12, "end": 1113.52, "word": "لكن", "probability": 0.5914306640625}, {"start": 1113.52, "end": 1113.64, "word": " هو", "probability": 0.29443359375}, {"start": 1113.64, "end": 1113.92, "word": " ايش", "probability": 0.781005859375}, {"start": 1113.92, "end": 1114.2, "word": " قال", "probability": 0.876953125}, {"start": 1114.2, "end": 1114.38, "word": " لي", "probability": 0.3740234375}, {"start": 1114.38, "end": 1114.58, "word": " جي", "probability": 0.666015625}, {"start": 1114.58, "end": 1115.38, "word": " مالها", "probability": 0.8052571614583334}, {"start": 1115.38, "end": 1116.52, "word": " يبقى", "probability": 0.880126953125}, {"start": 1116.52, "end": 1116.92, "word": " بقدر", "probability": 0.8487955729166666}, {"start": 1116.92, "end": 1117.3, "word": " ابدل", "probability": 0.8082682291666666}, {"start": 1117.3, "end": 1117.52, "word": " زي", "probability": 0.95654296875}, {"start": 1117.52, "end": 1117.64, "word": " ما", "probability": 0.78173828125}, {"start": 1117.64, "end": 1117.74, "word": " انا", "probability": 0.786865234375}, {"start": 1117.74, "end": 1118.04, "word": " عايزه", "probability": 0.8421630859375}, {"start": 1118.04, "end": 1118.28, "word": " مالوش", "probability": 0.68115234375}, {"start": 1118.28, "end": 1118.6, "word": " كلام", "probability": 0.86474609375}, {"start": 1118.6, "end": 1119.08, "word": " عندي", "probability": 0.6524658203125}, {"start": 1119.08, "end": 1120.06, "word": " يبقى", "probability": 0.97705078125}, {"start": 1120.06, "end": 1120.36, "word": " هنا", "probability": 0.95361328125}, {"start": 1120.36, "end": 1120.78, "word": " هذا", "probability": 0.9482421875}, {"start": 1120.78, "end": 1121.42, "word": " الكلام", "probability": 0.9524739583333334}, {"start": 1121.42, "end": 1121.8, "word": " بده", "probability": 0.472900390625}, {"start": 1121.8, "end": 1122.32, "word": " يساوي", "probability": 0.8275146484375}, {"start": 1122.32, "end": 1122.94, "word": " A", "probability": 0.50048828125}, {"start": 1122.94, "end": 1123.68, "word": " inverse", "probability": 0.7333984375}, {"start": 1123.68, "end": 1123.98, "word": " B", "probability": 0.6953125}, {"start": 1123.98, "end": 1124.42, "word": " inverse", "probability": 0.80859375}, {"start": 1124.42, "end": 1125.38, "word": " ليش؟", "probability": 0.7783203125}, {"start": 1125.38, "end": 1126.42, "word": " because", "probability": 0.61328125}, {"start": 1126.42, "end": 1127.46, "word": " السبب", "probability": 0.97802734375}, {"start": 1127.46, "end": 1128.2, "word": " ان", "probability": 0.7919921875}, {"start": 1128.2, "end": 1128.58, "word": " ال", "probability": 0.75732421875}, {"start": 1128.58, "end": 1128.98, "word": " G", "probability": 0.57177734375}, {"start": 1128.98, "end": 1129.72, "word": " is", "probability": 0.91259765625}, {"start": 1129.72, "end": 1132.0, "word": " abelian", "probability": 0.857421875}, {"start": 1132.0, "end": 1134.22, "word": " يبقى", "probability": 0.9921875}, {"start": 1134.22, "end": 1134.76, "word": " اثبتنا", "probability": 0.90595703125}, {"start": 1134.76, "end": 1135.56, "word": " الاتجاه", "probability": 0.942626953125}, {"start": 1135.56, "end": 1136.1, "word": " الأول", "probability": 0.798828125}, {"start": 1136.1, "end": 1136.88, "word": " بده", "probability": 0.529296875}, {"start": 1136.88, "end": 1137.18, "word": " اروح", "probability": 0.8525390625}, {"start": 1137.18, "end": 1137.66, "word": " الآن", "probability": 0.6778564453125}, {"start": 1137.66, "end": 1138.68, "word": " لمن؟", "probability": 0.7102864583333334}, {"start": 1138.68, "end": 1139.94, "word": " للاتجاه", "probability": 0.9573974609375}, {"start": 1139.94, "end": 1140.8, "word": " الثاني", "probability": 0.9720458984375}], "temperature": 1.0}, {"id": 48, "seek": 117429, "start": 1147.57, "end": 1174.29, "text": "الان بجيب اقوله conversely assume افترض ان ال a b لكل inverse بدي سوى a inverse b inverse بدي اثبتله ايش ليه قابله طيب بدي اقوله consider خدلي", "tokens": [6027, 7649, 4724, 7435, 1829, 3555, 1975, 39648, 3224, 2615, 736, 6552, 1975, 5172, 2655, 43042, 16472, 2423, 257, 272, 5296, 28820, 17340, 4724, 16254, 8608, 2407, 7578, 257, 17340, 272, 17340, 4724, 16254, 1975, 12984, 3555, 2655, 43761, 1975, 1829, 8592, 32239, 3224, 12174, 16758, 43761, 23032, 1829, 3555, 4724, 16254, 1975, 39648, 3224, 1949, 16490, 3215, 20292], "avg_logprob": -0.37526041865348814, "compression_ratio": 1.4964028776978417, "no_speech_prob": 0.0, "words": [{"start": 1147.57, "end": 1148.19, "word": "الان", "probability": 0.723388671875}, {"start": 1148.19, "end": 1148.61, "word": " بجيب", "probability": 0.55133056640625}, {"start": 1148.61, "end": 1149.05, "word": " اقوله", "probability": 0.6223958333333334}, {"start": 1149.05, "end": 1150.05, "word": " conversely", "probability": 0.864501953125}, {"start": 1150.05, "end": 1154.17, "word": " assume", "probability": 0.457275390625}, {"start": 1154.17, "end": 1156.45, "word": " افترض", "probability": 0.949462890625}, {"start": 1156.45, "end": 1157.45, "word": " ان", "probability": 0.93798828125}, {"start": 1157.45, "end": 1158.41, "word": " ال", "probability": 0.8994140625}, {"start": 1158.41, "end": 1158.85, "word": " a", "probability": 0.59033203125}, {"start": 1158.85, "end": 1159.45, "word": " b", "probability": 0.36962890625}, {"start": 1159.45, "end": 1160.15, "word": " لكل", "probability": 0.76123046875}, {"start": 1160.15, "end": 1161.03, "word": " inverse", "probability": 0.81884765625}, {"start": 1161.03, "end": 1161.85, "word": " بدي", "probability": 0.564453125}, {"start": 1161.85, "end": 1162.41, "word": " سوى", "probability": 0.6024576822916666}, {"start": 1162.41, "end": 1162.81, "word": " a", "probability": 0.96435546875}, {"start": 1162.81, "end": 1163.55, "word": " inverse", "probability": 0.833984375}, {"start": 1163.55, "end": 1163.85, "word": " b", "probability": 0.5908203125}, {"start": 1163.85, "end": 1164.43, "word": " inverse", "probability": 0.84521484375}, {"start": 1164.43, "end": 1165.31, "word": " بدي", "probability": 0.7161865234375}, {"start": 1165.31, "end": 1165.81, "word": " اثبتله", "probability": 0.86845703125}, {"start": 1165.81, "end": 1167.55, "word": " ايش", "probability": 0.79833984375}, {"start": 1167.55, "end": 1168.77, "word": " ليه", "probability": 0.6378173828125}, {"start": 1168.77, "end": 1169.25, "word": " قابله", "probability": 0.4676106770833333}, {"start": 1169.25, "end": 1170.75, "word": " طيب", "probability": 0.8395182291666666}, {"start": 1170.75, "end": 1171.31, "word": " بدي", "probability": 0.695556640625}, {"start": 1171.31, "end": 1172.15, "word": " اقوله", "probability": 0.7400716145833334}, {"start": 1172.15, "end": 1173.03, "word": " consider", "probability": 0.88623046875}, {"start": 1173.03, "end": 1174.29, "word": " خدلي", "probability": 0.78173828125}], "temperature": 1.0}, {"id": 49, "seek": 120374, "start": 1175.48, "end": 1203.74, "text": "يعني بدي أثبت أن الـ A في B بدي أثبت بي في A لكل الـ A و B اللي موجودة في G consider A و B any elements أي عناصر in G طيب لو أخدت الآن الـ A بي الكل inverse", "tokens": [40228, 22653, 4724, 16254, 5551, 12984, 3555, 2655, 14739, 2423, 39184, 316, 8978, 363, 4724, 16254, 5551, 12984, 3555, 2655, 4724, 1829, 8978, 316, 5296, 28820, 2423, 39184, 316, 4032, 363, 13672, 1829, 3714, 29245, 23328, 3660, 8978, 460, 1949, 316, 4032, 363, 604, 4959, 36632, 18871, 33546, 2288, 294, 460, 23032, 1829, 3555, 45164, 5551, 9778, 3215, 2655, 6024, 48506, 2423, 39184, 316, 4724, 1829, 2423, 28820, 17340], "avg_logprob": -0.3180803584200995, "compression_ratio": 1.481012658227848, "no_speech_prob": 0.0, "words": [{"start": 1175.48, "end": 1175.92, "word": "يعني", "probability": 0.50408935546875}, {"start": 1175.92, "end": 1176.24, "word": " بدي", "probability": 0.6942138671875}, {"start": 1176.24, "end": 1176.74, "word": " أثبت", "probability": 0.9150390625}, {"start": 1176.74, "end": 1177.0, "word": " أن", "probability": 0.53857421875}, {"start": 1177.0, "end": 1177.36, "word": " الـ", "probability": 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يبقى السعر عندي ب في a في ال identity element بدي سوى ال identity element في a,b طب ال identity element لما تضرب في أي element تطلع من نفس ال element يبقى b في a بدي سوى a في b", "tokens": [2304, 8592, 36764, 24401, 20449, 4117, 41779, 16712, 7649, 1829, 7251, 3555, 4587, 7578, 11331, 33546, 1211, 48812, 25513, 3224, 15042, 20666, 6575, 4478, 7251, 3555, 4587, 7578, 21136, 3615, 2288, 18871, 16254, 4724, 8978, 257, 8978, 2423, 6575, 4478, 4724, 16254, 8608, 2407, 7578, 2423, 6575, 4478, 8978, 257, 11, 65, 23032, 3555, 2423, 6575, 4478, 5296, 15042, 6055, 11242, 25513, 8978, 36632, 4478, 6055, 9566, 1211, 3615, 9154, 8717, 36178, 2423, 4478, 7251, 3555, 4587, 7578, 272, 8978, 257, 4724, 16254, 8608, 2407, 7578, 257, 8978, 272], "avg_logprob": -0.21822916252745522, "compression_ratio": 1.937142857142857, "no_speech_prob": 0.0, "words": [{"start": 1299.49, "end": 1299.77, "word": "مش", "probability": 0.52081298828125}, {"start": 1299.77, "end": 1300.07, "word": " واحد", "probability": 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على", "probability": 0.68359375}, {"start": 1331.27, "end": 1331.55, "word": " ا", "probability": 0.454345703125}, {"start": 1331.55, "end": 1331.73, "word": " و", "probability": 0.380859375}, {"start": 1331.73, "end": 1333.33, "word": " ب؟", "probability": 0.6434326171875}, {"start": 1333.33, "end": 1333.59, "word": " اي", "probability": 0.8046875}, {"start": 1333.59, "end": 1334.21, "word": " عناصر", "probability": 0.9899088541666666}, {"start": 1334.21, "end": 1334.37, "word": " في", "probability": 0.90478515625}, {"start": 1334.37, "end": 1334.59, "word": " جي", "probability": 0.60888671875}, {"start": 1334.59, "end": 1334.73, "word": " يبقى", "probability": 0.9063720703125}, {"start": 1334.73, "end": 1335.09, "word": " بنان", "probability": 0.785888671875}, {"start": 1335.09, "end": 1335.39, "word": " عليه", "probability": 0.36279296875}, {"start": 1335.39, "end": 1336.59, "word": " مالها؟", "probability": 0.7357177734375}, {"start": 1336.59, "end": 1336.79, "word": " جي", "probability": 0.7298583984375}, {"start": 1336.79, "end": 1337.03, "word": " is", "probability": 0.734375}, {"start": 1337.03, "end": 1337.63, "word": " abelian", "probability": 0.81298828125}, {"start": 1337.63, "end": 1338.79, "word": " يبقى", "probability": 0.9476318359375}, {"start": 1338.79, "end": 1339.19, "word": " هنا", "probability": 0.9765625}, {"start": 1339.19, "end": 1340.19, "word": " سا", "probability": 0.37255859375}, {"start": 1340.19, "end": 1341.95, "word": " جي", "probability": 0.8486328125}, {"start": 1341.95, "end": 1342.61, "word": " is", "probability": 0.91650390625}, {"start": 1342.61, "end": 1344.15, "word": " abelian", "probability": 0.9488932291666666}], "temperature": 1.0}, {"id": 56, "seek": 137262, "start": 1349.98, "end": 1372.62, "text": "هذا سؤال سبعتاش سؤال سؤال سؤال تمانتاش هذا حلناه في المحاضرة أخدناه كمثال طيب سؤال تسعتاش بيقولي لأي element a و b من group G and any integer n prove that", "tokens": [3224, 15730, 8608, 33604, 6027, 8608, 3555, 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"probability": 0.9527994791666666}, {"start": 1357.22, "end": 1358.34, "word": " تمانتاش", "probability": 0.937255859375}, {"start": 1358.34, "end": 1358.6, "word": " هذا", "probability": 0.78271484375}, {"start": 1358.6, "end": 1359.12, "word": " حلناه", "probability": 0.9345703125}, {"start": 1359.12, "end": 1359.18, "word": " في", "probability": 0.833984375}, {"start": 1359.18, "end": 1359.82, "word": " المحاضرة", "probability": 0.9617919921875}, {"start": 1359.82, "end": 1360.5, "word": " أخدناه", "probability": 0.844384765625}, {"start": 1360.5, "end": 1361.28, "word": " كمثال", "probability": 0.9842529296875}, {"start": 1361.28, "end": 1362.32, "word": " طيب", "probability": 0.9332682291666666}, {"start": 1362.32, "end": 1362.72, "word": " سؤال", "probability": 0.9861653645833334}, {"start": 1362.72, "end": 1363.74, "word": " تسعتاش", "probability": 0.8590087890625}, {"start": 1363.74, "end": 1364.74, "word": " بيقولي", "probability": 0.84246826171875}, {"start": 1364.74, "end": 1365.06, "word": " لأي", "probability": 0.9114583333333334}, {"start": 1365.06, "end": 1365.5, "word": " element", "probability": 0.951171875}, {"start": 1365.5, "end": 1365.76, "word": " a", "probability": 0.73681640625}, {"start": 1365.76, "end": 1365.88, "word": " و", "probability": 0.8486328125}, {"start": 1365.88, "end": 1366.04, "word": " b", "probability": 0.53173828125}, {"start": 1366.04, "end": 1366.3, "word": " من", "probability": 0.97607421875}, {"start": 1366.3, "end": 1366.78, "word": " group", "probability": 0.72900390625}, {"start": 1366.78, "end": 1367.58, "word": " G", "probability": 0.57861328125}, {"start": 1367.58, "end": 1369.42, "word": " and", "probability": 0.916015625}, {"start": 1369.42, "end": 1369.84, "word": " any", "probability": 0.87744140625}, {"start": 1369.84, "end": 1370.68, "word": " integer", "probability": 0.89404296875}, {"start": 1370.68, "end": 1371.42, "word": " n", "probability": 0.6103515625}, {"start": 1371.42, "end": 1372.1, "word": " prove", "probability": 0.646484375}, {"start": 1372.1, "end": 1372.62, "word": " that", "probability": 0.9404296875}], "temperature": 1.0}, {"id": 57, "seek": 139795, "start": 1373.05, "end": 1397.95, "text": "ثم اثبت ان ال a inverse b a to the power n يسوى a inverse b in a و ال n هدا is an integer", "tokens": [12984, 2304, 1975, 12984, 3555, 2655, 16472, 2423, 257, 17340, 272, 257, 281, 264, 1347, 297, 7251, 3794, 2407, 7578, 257, 17340, 272, 294, 257, 4032, 2423, 297, 8032, 28259, 307, 364, 24922], "avg_logprob": -0.4664522093885085, "compression_ratio": 1.1473684210526316, "no_speech_prob": 0.0, "words": [{"start": 1373.05, "end": 1373.31, "word": "ثم", "probability": 0.4893798828125}, {"start": 1373.31, "end": 1373.95, "word": " اثبت", "probability": 0.921630859375}, {"start": 1373.95, "end": 1377.39, "word": " ان", "probability": 0.58935546875}, {"start": 1377.39, "end": 1378.59, "word": " ال", "probability": 0.7431640625}, {"start": 1378.59, "end": 1379.19, "word": " a", "probability": 0.170166015625}, {"start": 1379.19, "end": 1381.81, "word": " inverse", "probability": 0.361083984375}, {"start": 1381.81, "end": 1382.31, "word": " b", "probability": 0.315673828125}, {"start": 1382.31, "end": 1382.97, "word": " a", "probability": 0.509765625}, {"start": 1382.97, "end": 1386.91, "word": " to", "probability": 0.4169921875}, {"start": 1386.91, "end": 1387.23, "word": " the", "probability": 0.86767578125}, {"start": 1387.23, "end": 1387.77, "word": " power", "probability": 0.89990234375}, {"start": 1387.77, "end": 1388.21, "word": " n", "probability": 0.76513671875}, {"start": 1388.21, "end": 1389.27, "word": " يسوى", "probability": 0.60577392578125}, {"start": 1389.27, "end": 1389.73, "word": " a", "probability": 0.91064453125}, {"start": 1389.73, "end": 1390.49, "word": " inverse", "probability": 0.8515625}, {"start": 1390.49, "end": 1391.13, "word": " b", "probability": 0.90625}, {"start": 1391.13, "end": 1391.83, "word": " in", "probability": 0.84716796875}, {"start": 1391.83, "end": 1392.67, "word": " a", "probability": 0.904296875}, {"start": 1392.67, "end": 1393.41, "word": " و", "probability": 0.325927734375}, {"start": 1393.41, "end": 1393.65, "word": " ال", "probability": 0.81396484375}, {"start": 1393.65, "end": 1394.03, "word": " n", "probability": 0.2490234375}, {"start": 1394.03, "end": 1394.83, "word": " هدا", "probability": 0.450439453125}, {"start": 1394.83, "end": 1396.29, "word": " is", "probability": 0.79833984375}, {"start": 1396.29, "end": 1397.23, "word": " an", "probability": 0.7548828125}, {"start": 1397.23, "end": 1397.95, "word": " integer", "probability": 0.93017578125}], "temperature": 1.0}, {"id": 58, "seek": 141945, "start": 1400.71, "end": 1419.45, "text": "قال يثبت ان الطرفين هدول متساوين حد فيكوا حل هذا السؤال؟ و لو نص حل يعني بال induction بس ال induction اللي اتعلمناه على عدد صحيح موجة صح؟", "tokens": [4587, 6027, 7251, 12984, 3555, 2655, 16472, 41950, 28480, 9957, 8032, 3215, 12610, 44650, 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بس", "probability": 0.794189453125}, {"start": 1412.87, "end": 1413.05, "word": " ال", "probability": 0.8125}, {"start": 1413.05, "end": 1413.57, "word": " induction", "probability": 0.9951171875}, {"start": 1413.57, "end": 1413.91, "word": " اللي", "probability": 0.8193359375}, {"start": 1413.91, "end": 1415.49, "word": " اتعلمناه", "probability": 0.9457194010416666}, {"start": 1415.49, "end": 1415.99, "word": " على", "probability": 0.88134765625}, {"start": 1415.99, "end": 1416.73, "word": " عدد", "probability": 0.9791666666666666}, {"start": 1416.73, "end": 1417.89, "word": " صحيح", "probability": 0.9945068359375}, {"start": 1417.89, "end": 1418.43, "word": " موجة", "probability": 0.8219401041666666}, {"start": 1418.43, "end": 1419.45, "word": " صح؟", "probability": 0.8997395833333334}], "temperature": 1.0}, {"id": 59, "seek": 143486, "start": 1420.2, "end": 1434.86, "text": "سكت الشعور مش شكت في المبادئ أخدنا ال induction على إن عدد صحيح موجه طيب نشوف بدنا نروح نستخدم ال induction و نشوف هل الكلام هذا صحيح ولا لأ بس هنا جالي انتجار", "tokens": [3794, 4117, 2655, 25124, 3615, 13063, 37893, 13412, 4117, 2655, 8978, 9673, 3555, 18513, 19986, 5551, 9778, 3215, 8315, 2423, 33371, 15844, 36145, 6225, 3215, 3215, 20328, 5016, 1829, 5016, 3714, 29245, 3224, 23032, 1829, 3555, 8717, 8592, 38688, 47525, 8315, 8717, 32887, 5016, 8717, 14851, 9778, 40448, 2423, 33371, 4032, 8717, 8592, 38688, 8032, 1211, 2423, 28820, 10943, 23758, 20328, 5016, 1829, 5016, 49429, 5296, 10721, 4724, 3794, 34105, 10874, 6027, 1829, 16472, 2655, 7435, 9640], "avg_logprob": -0.15655048802877083, "compression_ratio": 1.6144578313253013, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1420.2, "end": 1420.68, "word": "سكت", "probability": 0.5509440104166666}, {"start": 1420.68, "end": 1421.2, "word": " الشعور", "probability": 0.6427408854166666}, {"start": 1421.2, "end": 1421.54, "word": " مش", "probability": 0.8095703125}, {"start": 1421.54, "end": 1421.88, "word": " شكت", 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نشوف", "probability": 0.9127604166666666}, {"start": 1428.34, "end": 1428.84, "word": " بدنا", "probability": 0.8125}, {"start": 1428.84, "end": 1429.2, "word": " نروح", "probability": 0.966796875}, {"start": 1429.2, "end": 1429.76, "word": " نستخدم", "probability": 0.9647216796875}, {"start": 1429.76, "end": 1429.9, "word": " ال", "probability": 0.955078125}, {"start": 1429.9, "end": 1430.36, "word": " induction", "probability": 0.9912109375}, {"start": 1430.36, "end": 1430.9, "word": " و", "probability": 0.978515625}, {"start": 1430.9, "end": 1431.28, "word": " نشوف", "probability": 0.8753255208333334}, {"start": 1431.28, "end": 1431.5, "word": " هل", "probability": 0.9638671875}, {"start": 1431.5, "end": 1432.04, "word": " الكلام", "probability": 0.9625651041666666}, {"start": 1432.04, "end": 1432.4, "word": " هذا", "probability": 0.904296875}, {"start": 1432.4, "end": 1432.72, "word": " صحيح", "probability": 0.99462890625}, {"start": 1432.72, "end": 1432.84, "word": " ولا", 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"word": " بداجي", "probability": 0.61767578125}, {"start": 1450.65, "end": 1451.09, "word": " اقول", "probability": 0.917724609375}, {"start": 1451.09, "end": 1451.75, "word": " هنا", "probability": 0.9892578125}, {"start": 1451.75, "end": 1453.07, "word": " solution", "probability": 0.75}, {"start": 1453.07, "end": 1455.03, "word": " لو", "probability": 0.85546875}, {"start": 1455.03, "end": 1455.71, "word": " كانت", "probability": 0.95458984375}, {"start": 1455.71, "end": 1456.01, "word": " ال", "probability": 0.98046875}, {"start": 1456.01, "end": 1456.41, "word": " n", "probability": 0.6513671875}, {"start": 1456.41, "end": 1456.63, "word": " ب", "probability": 0.89599609375}, {"start": 1456.63, "end": 1457.25, "word": " zero", "probability": 0.259521484375}, {"start": 1457.25, "end": 1458.23, "word": " if", "probability": 0.89111328125}, {"start": 1458.23, "end": 1459.05, "word": " ال", "probability": 0.93896484375}, {"start": 1459.05, "end": 1459.55, "word": " n", "probability": 0.8525390625}, {"start": 1459.55, "end": 1460.25, "word": " تساوي", "probability": 0.8226318359375}, {"start": 1460.25, "end": 1460.69, "word": " zero", "probability": 0.66552734375}, {"start": 1460.69, "end": 1461.13, "word": " then", "probability": 0.8447265625}], "temperature": 1.0}, {"id": 61, "seek": 147844, "start": 1461.98, "end": 1478.44, "text": "العلاقة هذه صحيحة ولا لأ تعالى نشوف اي عدد مرفوع للـ O0 بكام بال identity يبقى ال E يبقى A inverse ب O0 بال identity في A", "tokens": [6027, 3615, 15040, 28671, 29538, 20328, 5016, 1829, 5016, 3660, 49429, 5296, 10721, 37279, 6027, 7578, 8717, 8592, 38688, 1975, 1829, 6225, 3215, 3215, 3714, 28480, 45367, 24976, 39184, 422, 15, 4724, 4117, 10943, 20666, 6575, 7251, 3555, 4587, 7578, 2423, 462, 7251, 3555, 4587, 7578, 316, 17340, 4724, 422, 15, 20666, 6575, 8978, 316], "avg_logprob": -0.40318081421511515, "compression_ratio": 1.3098591549295775, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1461.98, "end": 1462.66, 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"end": 1468.5, "word": " بكام", "probability": 0.678466796875}, {"start": 1468.5, "end": 1469.16, "word": " بال", "probability": 0.9580078125}, {"start": 1469.16, "end": 1470.02, "word": " identity", "probability": 0.47607421875}, {"start": 1470.02, "end": 1470.86, "word": " يبقى", "probability": 0.940673828125}, {"start": 1470.86, "end": 1471.04, "word": " ال", "probability": 0.869140625}, {"start": 1471.04, "end": 1471.38, "word": " E", "probability": 0.6416015625}, {"start": 1471.38, "end": 1472.2, "word": " يبقى", "probability": 0.5914306640625}, {"start": 1472.2, "end": 1473.1, "word": " A", "probability": 0.28076171875}, {"start": 1473.1, "end": 1474.5, "word": " inverse", "probability": 0.302734375}, {"start": 1474.5, "end": 1475.26, "word": " ب", "probability": 0.58544921875}, {"start": 1475.26, "end": 1476.2, "word": " O0", "probability": 0.572265625}, {"start": 1476.2, "end": 1476.52, "word": " بال", "probability": 0.93896484375}, {"start": 1476.52, "end": 1477.5, "word": " identity", "probability": 0.80078125}, {"start": 1477.5, "end": 1478.0, "word": " في", "probability": 0.70703125}, {"start": 1478.0, "end": 1478.44, "word": " A", "probability": 0.86474609375}], "temperature": 1.0}, {"id": 62, "seek": 150831, "start": 1478.81, "end": 1508.31, "text": "معناته ايش ان ال E بده يساوي ال A inverse A يبقى ال E بده يساوي ال E يبقى ال statement صحيحة يبقى باجي بقول هذا بده يعطينا ان the statement hold صحيحة طيب لو كانت ال N بواحد F ال N تساوي واحد", "tokens": [2304, 3615, 8315, 47395, 1975, 1829, 8592, 16472, 2423, 462, 47525, 3224, 7251, 3794, 995, 45865, 2423, 316, 17340, 316, 7251, 3555, 4587, 7578, 2423, 462, 47525, 3224, 7251, 3794, 995, 45865, 2423, 462, 7251, 3555, 4587, 7578, 2423, 5629, 20328, 5016, 1829, 5016, 3660, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 23758, 47525, 3224, 37495, 9566, 1829, 8315, 16472, 264, 5629, 1797, 20328, 5016, 1829, 5016, 3660, 23032, 1829, 3555, 45164, 25961, 2655, 2423, 426, 4724, 14407, 24401, 479, 2423, 426, 6055, 3794, 995, 45865, 36764, 24401], "avg_logprob": -0.1959134687434186, "compression_ratio": 1.812121212121212, "no_speech_prob": 0.0, "words": [{"start": 1478.81, "end": 1479.81, "word": "معناته", "probability": 0.85443115234375}, {"start": 1479.81, "end": 1480.31, "word": " ايش", "probability": 0.666015625}, {"start": 1480.31, "end": 1480.71, "word": " ان", "probability": 0.59619140625}, {"start": 1480.71, "end": 1481.07, "word": " ال", "probability": 0.75244140625}, {"start": 1481.07, "end": 1481.49, "word": " E", "probability": 0.365966796875}, {"start": 1481.49, "end": 1482.35, "word": " بده", "probability": 0.352691650390625}, {"start": 1482.35, "end": 1482.81, "word": " يساوي", "probability": 0.8065185546875}, {"start": 1482.81, "end": 1483.05, "word": " ال", "probability": 0.75}, {"start": 1483.05, "end": 1483.37, "word": " A", "probability": 0.74560546875}, {"start": 1483.37, "end": 1484.13, "word": " inverse", "probability": 0.7470703125}, {"start": 1484.13, "end": 1484.71, "word": " A", "probability": 0.50439453125}, {"start": 1484.71, "end": 1485.57, "word": " يبقى", "probability": 0.9569091796875}, {"start": 1485.57, "end": 1485.75, "word": " ال", "probability": 0.89501953125}, {"start": 1485.75, "end": 1485.93, "word": " E", "probability": 0.763671875}, {"start": 1485.93, "end": 1486.31, "word": " بده", "probability": 0.84130859375}, {"start": 1486.31, "end": 1486.63, "word": " يساوي", "probability": 0.980224609375}, {"start": 1486.63, "end": 1486.79, "word": " ال", "probability": 0.9423828125}, {"start": 1486.79, "end": 1486.95, "word": " E", "probability": 0.94921875}, {"start": 1486.95, "end": 1487.11, "word": " يبقى", "probability": 0.8907470703125}, {"start": 1487.11, "end": 1487.27, "word": " ال", "probability": 0.841796875}, {"start": 1487.27, "end": 1487.81, "word": " statement", "probability": 0.96826171875}, {"start": 1487.81, "end": 1488.85, "word": " صحيحة", "probability": 0.961328125}, {"start": 1488.85, "end": 1489.53, "word": " يبقى", "probability": 0.96728515625}, {"start": 1489.53, "end": 1489.95, "word": " باجي", "probability": 0.8556315104166666}, {"start": 1489.95, "end": 1490.33, "word": " بقول", "probability": 0.9267578125}, {"start": 1490.33, "end": 1490.79, "word": " هذا", "probability": 0.5576171875}, {"start": 1490.79, "end": 1491.29, "word": " بده", "probability": 0.761962890625}, {"start": 1491.29, "end": 1492.15, "word": " يعطينا", "probability": 0.936767578125}, {"start": 1492.15, "end": 1492.99, "word": " ان", "probability": 0.634765625}, {"start": 1492.99, "end": 1493.69, "word": " the", "probability": 0.39501953125}, {"start": 1493.69, "end": 1495.91, "word": " statement", "probability": 0.9560546875}, {"start": 1495.91, "end": 1498.37, "word": " hold", "probability": 0.462158203125}, {"start": 1498.37, "end": 1499.85, "word": " صحيحة", "probability": 0.94892578125}, {"start": 1499.85, "end": 1500.99, "word": " طيب", "probability": 0.9454752604166666}, {"start": 1500.99, "end": 1501.85, "word": " لو", "probability": 0.931640625}, {"start": 1501.85, "end": 1502.35, "word": " كانت", "probability": 0.9619140625}, {"start": 1502.35, "end": 1502.57, "word": " ال", "probability": 0.984375}, {"start": 1502.57, "end": 1502.81, "word": " N", "probability": 0.7568359375}, {"start": 1502.81, "end": 1503.47, "word": " بواحد", "probability": 0.9150390625}, {"start": 1503.47, "end": 1505.05, "word": " F", "probability": 0.46923828125}, {"start": 1505.05, "end": 1506.37, "word": " ال", "probability": 0.9453125}, {"start": 1506.37, "end": 1506.83, "word": " N", "probability": 0.96923828125}, {"start": 1506.83, "end": 1507.73, "word": " تساوي", "probability": 0.9681396484375}, {"start": 1507.73, "end": 1508.31, "word": " واحد", "probability": 0.9482421875}], "temperature": 1.0}, {"id": 63, "seek": 151758, "start": 1509.52, "end": 1517.58, "text": "then the statement برضه hold ولا لا؟", "tokens": [19096, 264, 5629, 4724, 43042, 3224, 1797, 49429, 20193, 22807], "avg_logprob": -0.2823153409090909, "compression_ratio": 0.8679245283018868, "no_speech_prob": 0.0, "words": [{"start": 1509.52, "end": 1510.16, "word": "then", "probability": 0.59912109375}, {"start": 1510.16, "end": 1512.04, "word": " the", "probability": 0.8095703125}, {"start": 1512.04, "end": 1514.26, "word": " statement", "probability": 0.9580078125}, {"start": 1514.26, "end": 1516.46, "word": " برضه", "probability": 0.9021809895833334}, {"start": 1516.46, "end": 1516.76, "word": " hold", "probability": 0.400390625}, {"start": 1516.76, "end": 1516.94, "word": " ولا", "probability": 0.8828125}, {"start": 1516.94, "end": 1517.58, "word": " لا؟", "probability": 0.740234375}], "temperature": 1.0}, {"id": 64, "seek": 154688, "start": 1529.88, "end": 1546.88, "text": "أفترض أنها صحيحة عند N تساوي K و أثبت صحتها عند N تساوي K زائد واحد يبقى هنا ماجي بداجي أقول له assume that", "tokens": [10721, 5172, 2655, 43042, 14739, 11296, 20328, 5016, 1829, 5016, 3660, 43242, 426, 6055, 3794, 995, 45865, 591, 4032, 5551, 12984, 3555, 2655, 20328, 33753, 11296, 43242, 426, 6055, 3794, 995, 45865, 591, 30767, 16373, 3215, 36764, 24401, 7251, 3555, 4587, 7578, 34105, 3714, 26108, 1829, 47525, 26108, 1829, 5551, 39648, 46740, 6552, 300], "avg_logprob": -0.3622159025885842, "compression_ratio": 1.3511450381679388, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1529.8799999999999, "end": 1531.02, "word": "أفترض", "probability": 0.468505859375}, {"start": 1531.02, "end": 1531.9, "word": " أنها", "probability": 0.274627685546875}, {"start": 1531.9, "end": 1532.58, "word": " صحيحة", "probability": 0.92353515625}, {"start": 1532.58, "end": 1532.88, "word": " عند", "probability": 0.95654296875}, {"start": 1532.88, "end": 1533.4, "word": " N", "probability": 0.2919921875}, {"start": 1533.4, "end": 1534.32, "word": " تساوي", "probability": 0.743438720703125}, {"start": 1534.32, "end": 1534.84, "word": " K", "probability": 0.798828125}, {"start": 1534.84, "end": 1535.48, "word": " و", "probability": 0.5185546875}, {"start": 1535.48, "end": 1536.1, "word": " أثبت", "probability": 0.8841552734375}, {"start": 1536.1, "end": 1536.88, "word": " صحتها", "probability": 0.8916015625}, {"start": 1536.88, "end": 1537.18, "word": " عند", "probability": 0.97705078125}, {"start": 1537.18, "end": 1537.56, "word": " N", "probability": 0.8955078125}, {"start": 1537.56, "end": 1538.12, "word": " تساوي", "probability": 0.985107421875}, {"start": 1538.12, "end": 1538.6, "word": " K", "probability": 0.91943359375}, {"start": 1538.6, "end": 1539.46, "word": " زائد", "probability": 0.659912109375}, {"start": 1539.46, "end": 1539.9, "word": " واحد", "probability": 0.865234375}, {"start": 1539.9, "end": 1540.86, "word": " يبقى", "probability": 0.775146484375}, {"start": 1540.86, "end": 1541.18, "word": " هنا", "probability": 0.7314453125}, {"start": 1541.18, "end": 1541.7, "word": " ماجي", "probability": 0.578125}, {"start": 1541.7, "end": 1542.28, "word": " بداجي", "probability": 0.8377278645833334}, {"start": 1542.28, "end": 1542.62, "word": " أقول", "probability": 0.691162109375}, {"start": 1542.62, "end": 1542.86, "word": " له", "probability": 0.28076171875}, {"start": 1542.86, "end": 1543.66, "word": " assume", "probability": 0.841796875}, {"start": 1543.66, "end": 1546.88, "word": " that", "probability": 0.85791015625}], "temperature": 1.0}, {"id": 65, "seek": 157579, "start": 1547.93, "end": 1575.79, "text": "إن الـ a inverse b a to the power k بدي سوى a inverse b ka و ال k أكبر من الواحد كمان و ال k integer أكبر من الواحد هذا ال k integer and ال k greater than one", "tokens": [28814, 1863, 2423, 39184, 257, 17340, 272, 257, 281, 264, 1347, 350, 4724, 16254, 8608, 2407, 7578, 257, 17340, 272, 6799, 4032, 2423, 350, 5551, 4117, 26890, 9154, 2423, 14407, 24401, 9122, 2304, 7649, 4032, 2423, 350, 24922, 5551, 4117, 26890, 9154, 2423, 14407, 24401, 23758, 2423, 350, 24922, 293, 2423, 350, 5044, 813, 472], "avg_logprob": -0.2770647459796497, "compression_ratio": 1.6153846153846154, "no_speech_prob": 0.0, "words": [{"start": 1547.93, "end": 1548.45, "word": "إن", "probability": 0.634765625}, {"start": 1548.45, "end": 1548.91, "word": " الـ", "probability": 0.6630859375}, {"start": 1548.91, "end": 1549.19, "word": " a", "probability": 0.234375}, {"start": 1549.19, "end": 1550.25, "word": " inverse", "probability": 0.68408203125}, {"start": 1550.25, "end": 1550.95, "word": " b", "probability": 0.2491455078125}, {"start": 1550.95, "end": 1551.85, "word": " a", "probability": 0.79541015625}, {"start": 1551.85, "end": 1552.57, "word": " to", "probability": 0.806640625}, {"start": 1552.57, "end": 1552.81, "word": " the", "probability": 0.92822265625}, {"start": 1552.81, "end": 1553.47, "word": " power", "probability": 0.90478515625}, {"start": 1553.47, "end": 1554.11, "word": " k", "probability": 0.7314453125}, {"start": 1554.11, "end": 1554.87, "word": " بدي", "probability": 0.5965576171875}, {"start": 1554.87, "end": 1555.45, "word": " سوى", "probability": 0.5896809895833334}, {"start": 1555.45, "end": 1555.91, "word": " a", "probability": 0.96240234375}, {"start": 1555.91, "end": 1556.85, "word": " inverse", "probability": 0.86083984375}, {"start": 1556.85, "end": 1557.85, "word": " b", "probability": 0.89990234375}, {"start": 1557.85, "end": 1558.97, "word": " ka", "probability": 0.45947265625}, {"start": 1558.97, "end": 1559.91, "word": " و", "probability": 0.54541015625}, {"start": 1559.91, "end": 1560.29, "word": " ال", "probability": 0.71337890625}, {"start": 1560.29, "end": 1560.81, "word": " k", "probability": 0.5986328125}, {"start": 1560.81, "end": 1561.91, "word": " أكبر", "probability": 0.9431966145833334}, {"start": 1561.91, "end": 1562.15, "word": " من", "probability": 0.9892578125}, {"start": 1562.15, "end": 1562.65, "word": " الواحد", "probability": 0.721435546875}, {"start": 1562.65, "end": 1563.81, "word": " كمان", "probability": 0.8961588541666666}, {"start": 1563.81, "end": 1564.83, "word": " و", "probability": 0.6513671875}, {"start": 1564.83, "end": 1565.03, "word": " ال", "probability": 0.9228515625}, {"start": 1565.03, "end": 1565.45, "word": " k", "probability": 0.84814453125}, {"start": 1565.45, "end": 1566.19, "word": " integer", "probability": 0.943359375}, {"start": 1566.19, "end": 1567.01, "word": " أكبر", "probability": 0.97021484375}, {"start": 1567.01, "end": 1567.25, "word": " من", "probability": 0.9970703125}, {"start": 1567.25, "end": 1567.79, "word": " الواحد", "probability": 0.9690755208333334}, {"start": 1567.79, "end": 1569.11, "word": " هذا", "probability": 0.7861328125}, {"start": 1569.11, "end": 1569.41, "word": " ال", "probability": 0.93310546875}, {"start": 1569.41, "end": 1569.75, "word": " k", "probability": 0.86572265625}, {"start": 1569.75, "end": 1570.93, "word": " integer", "probability": 0.9638671875}, {"start": 1570.93, "end": 1573.29, "word": " and", "probability": 0.8798828125}, {"start": 1573.29, "end": 1574.17, "word": " ال", "probability": 0.77392578125}, {"start": 1574.17, "end": 1574.47, "word": " k", "probability": 0.96826171875}, {"start": 1574.47, "end": 1574.97, "word": " greater", "probability": 0.8984375}, {"start": 1574.97, "end": 1575.45, "word": " than", "probability": 0.9560546875}, {"start": 1575.45, "end": 1575.79, "word": " one", "probability": 0.8115234375}], "temperature": 1.0}, {"id": 66, "seek": 157918, "start": 1578.32, "end": 1579.18, "text": "طيب تمام", "tokens": [9566, 1829, 3555, 46811, 10943], "avg_logprob": -0.041829428325096764, "compression_ratio": 0.625, "no_speech_prob": 0.0, "words": [{"start": 1578.32, "end": 1578.76, "word": "طيب", "probability": 0.98681640625}, {"start": 1578.76, "end": 1579.18, "word": " تمام", "probability": 0.993896484375}], "temperature": 1.0}, {"id": 67, "seek": 161150, "start": 1582.7, "end": 1611.5, "text": "بدي أحاول أثبت صحة هذا الموضوع عند كزايد واحد يبقى باجي بقوله consider خدلي a inverse ba to the power k plus one انطلع الناتج a inverse bk plus one في a بصير كلامنا معله صحيح يبقى هذا الكلام بده يساوي a inverse ba في k", "tokens": [3555, 16254, 5551, 5016, 995, 12610, 5551, 12984, 3555, 2655, 20328, 5016, 3660, 23758, 9673, 2407, 11242, 45367, 43242, 9122, 11622, 995, 25708, 36764, 24401, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 1949, 16490, 3215, 20292, 257, 17340, 4773, 281, 264, 1347, 350, 1804, 472, 16472, 9566, 1211, 3615, 28239, 9307, 7435, 257, 17340, 272, 74, 1804, 472, 8978, 257, 4724, 9381, 13546, 28242, 10943, 8315, 20449, 43761, 20328, 5016, 1829, 5016, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 257, 17340, 4773, 8978, 350], "avg_logprob": -0.2406249943532442, "compression_ratio": 1.5902439024390245, "no_speech_prob": 0.0, "words": [{"start": 1582.7, "end": 1583.14, "word": "بدي", "probability": 0.152191162109375}, {"start": 1583.14, "end": 1583.54, "word": " أحاول", "probability": 0.821044921875}, {"start": 1583.54, "end": 1584.02, "word": " أثبت", "probability": 0.9354248046875}, {"start": 1584.02, "end": 1584.5, "word": " صحة", "probability": 0.9124348958333334}, {"start": 1584.5, "end": 1584.78, "word": " هذا", "probability": 0.8759765625}, {"start": 1584.78, "end": 1585.24, "word": " الموضوع", "probability": 0.995849609375}, {"start": 1585.24, "end": 1585.54, "word": " عند", "probability": 0.52099609375}, {"start": 1585.54, "end": 1587.3, "word": " كزايد", "probability": 0.386383056640625}, {"start": 1587.3, "end": 1587.62, "word": " واحد", "probability": 0.970458984375}, {"start": 1587.62, "end": 1588.42, "word": " يبقى", "probability": 0.8927001953125}, {"start": 1588.42, "end": 1588.84, "word": " باجي", "probability": 0.8489583333333334}, {"start": 1588.84, "end": 1589.44, "word": " بقوله", "probability": 0.7666015625}, {"start": 1589.44, "end": 1590.36, "word": " consider", "probability": 0.77392578125}, {"start": 1590.36, "end": 1591.68, "word": " خدلي", "probability": 0.6234537760416666}, {"start": 1591.68, "end": 1592.2, "word": " a", "probability": 0.6025390625}, {"start": 1592.2, "end": 1593.04, "word": " inverse", "probability": 0.85205078125}, {"start": 1593.04, "end": 1593.9, "word": " ba", "probability": 0.2900390625}, {"start": 1593.9, "end": 1594.8, "word": " to", "probability": 0.84033203125}, {"start": 1594.8, "end": 1595.02, "word": " the", "probability": 0.91455078125}, {"start": 1595.02, "end": 1595.52, "word": " power", "probability": 0.91015625}, {"start": 1595.52, "end": 1595.94, "word": " k", "probability": 0.681640625}, {"start": 1595.94, "end": 1596.48, "word": " plus", "probability": 0.869140625}, {"start": 1596.48, "end": 1596.96, "word": " one", "probability": 0.91943359375}, {"start": 1596.96, "end": 1598.16, "word": " انطلع", "probability": 0.9593505859375}, {"start": 1598.16, "end": 1598.76, "word": " الناتج", "probability": 0.6924641927083334}, {"start": 1598.76, "end": 1599.16, "word": " a", "probability": 0.9580078125}, {"start": 1599.16, "end": 1599.8, "word": " 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"probability": 0.9549153645833334}, {"start": 1606.12, "end": 1606.56, "word": " بده", "probability": 0.799560546875}, {"start": 1606.56, "end": 1607.16, "word": " يساوي", "probability": 0.980224609375}, {"start": 1607.16, "end": 1608.18, "word": " a", "probability": 0.939453125}, {"start": 1608.18, "end": 1609.22, "word": " inverse", "probability": 0.84375}, {"start": 1609.22, "end": 1610.54, "word": " ba", "probability": 0.8095703125}, {"start": 1610.54, "end": 1610.94, "word": " في", "probability": 0.9658203125}, {"start": 1610.94, "end": 1611.5, "word": " k", "probability": 0.9169921875}], "temperature": 1.0}, {"id": 68, "seek": 162987, "start": 1620.59, "end": 1629.87, "text": "هذا الكلام انا فارضه هنا يبقى a inverse", "tokens": [3224, 15730, 2423, 28820, 10943, 1975, 8315, 6156, 9640, 11242, 3224, 34105, 7251, 3555, 4587, 7578, 257, 17340], "avg_logprob": -0.5061677380612022, "compression_ratio": 0.9692307692307692, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 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minus n a هذا يعني هذا في هذا مش يساوي هذا في هذا بده يعطينا ال identity صح هي الكلامي صح ولا غلط هذا صح ليش", "tokens": [65, 257, 281, 264, 1347, 297, 47525, 3224, 7251, 3794, 995, 45865, 257, 17340, 272, 281, 264, 3175, 297, 257, 23758, 37495, 22653, 23758, 8978, 23758, 37893, 7251, 3794, 995, 45865, 23758, 8978, 23758, 47525, 3224, 37495, 9566, 1829, 8315, 2423, 6575, 20328, 5016, 39896, 2423, 28820, 10943, 1829, 20328, 5016, 49429, 32771, 1211, 9566, 23758, 20328, 5016, 32239, 8592], "avg_logprob": -0.2346311436324823, "compression_ratio": 1.5782312925170068, "no_speech_prob": 0.0, "words": [{"start": 1780.36, "end": 1780.88, "word": "b", "probability": 0.041290283203125}, {"start": 1780.88, "end": 1781.52, "word": " a", "probability": 0.395263671875}, {"start": 1781.52, "end": 1781.8, "word": " to", "probability": 0.67236328125}, {"start": 1781.8, "end": 1782.02, "word": " the", "probability": 0.91162109375}, {"start": 1782.02, "end": 1782.68, "word": " power", "probability": 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true because السبب ان ناقص in greater than zero لأن المبرهنها هي فوق", "tokens": [1211, 33456, 8717, 995, 4587, 9381, 294, 5551, 4117, 26890, 9154, 4018, 4032, 1975, 5016, 8315, 34105, 5296, 15042, 6055, 3555, 4587, 7578, 2423, 294, 5551, 4117, 26890, 9154, 4018, 1975, 12984, 3555, 2655, 8315, 2423, 5629, 3714, 6027, 11296, 20328, 5016, 1829, 5016, 3660, 7251, 3555, 4587, 7578, 341, 307, 257, 2074, 570, 21136, 3555, 3555, 16472, 8717, 995, 4587, 9381, 294, 5044, 813, 4018, 5296, 33456, 9673, 26890, 3224, 1863, 11296, 39896, 6156, 30543], "avg_logprob": -0.2086038945557235, "compression_ratio": 1.5773809523809523, "no_speech_prob": 0.0, "words": [{"start": 1807.29, "end": 1807.75, "word": "لأن", "probability": 0.5555419921875}, {"start": 1807.75, "end": 1808.47, "word": " ناقص", "probability": 0.8675537109375}, {"start": 1808.47, "end": 1808.77, "word": " in", "probability": 0.279541015625}, {"start": 1808.77, "end": 1809.43, "word": " أكبر", "probability": 0.9352213541666666}, 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2993.73, "word": " b", "probability": 0.9814453125}, {"start": 2993.73, "end": 2993.87, "word": " اللي", "probability": 0.8154296875}, {"start": 2993.87, "end": 2994.41, "word": " موجودة", "probability": 0.892333984375}, {"start": 2994.41, "end": 2994.87, "word": " وين", "probability": 0.462646484375}, {"start": 2994.87, "end": 2995.27, "word": " في", "probability": 0.9736328125}, {"start": 2995.27, "end": 2995.63, "word": " g", "probability": 0.7509765625}, {"start": 2995.63, "end": 2996.53, "word": " طب", "probability": 0.851806640625}, {"start": 2996.53, "end": 2996.83, "word": " الآن", "probability": 0.7406005859375}, {"start": 2996.83, "end": 2997.09, "word": " لو", "probability": 0.98583984375}, {"start": 2997.09, "end": 2997.57, "word": " جيت", "probability": 0.958740234375}, {"start": 2997.57, "end": 2998.71, "word": " العنصر", "probability": 0.93212890625}, {"start": 2998.71, "end": 2998.93, "word": " b", "probability": 0.595703125}, {"start": 2998.93, "end": 2999.23, "word": " مش", "probability": 0.89990234375}, {"start": 2999.23, "end": 2999.51, "word": " هو", "probability": 0.98291015625}, {"start": 2999.51, "end": 2999.73, "word": " b", "probability": 0.70654296875}, {"start": 2999.73, "end": 2999.93, "word": " ولا", "probability": 0.919921875}, {"start": 2999.93, "end": 3000.25, "word": " لأ", "probability": 0.756591796875}], "temperature": 1.0}, {"id": 122, "seek": 302845, "start": 3003.25, "end": 3028.45, "text": "صح؟ طب إيش رايك لو جيت قلتلك ال a a inverse b هل يساوي ال b في ال a inverse a ولا لا؟ لأن هذا ال identity وهذا ال identity، مظبوط؟ طب اتطلع العنصر اللي في المص هنا", "tokens": [9381, 5016, 22807, 23032, 3555, 11933, 1829, 8592, 12602, 47302, 4117, 45164, 10874, 36081, 12174, 1211, 2655, 23275, 2423, 257, 257, 17340, 272, 8032, 1211, 7251, 3794, 995, 45865, 2423, 272, 8978, 2423, 257, 17340, 257, 49429, 20193, 22807, 5296, 33456, 23758, 2423, 6575, 37037, 15730, 2423, 6575, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 23032, 3555, 1975, 2655, 9566, 1211, 3615, 18863, 1863, 9381, 2288, 13672, 1829, 8978, 9673, 9381, 34105], "avg_logprob": -0.21254281311818998, "compression_ratio": 1.5426829268292683, "no_speech_prob": 0.0, "words": [{"start": 3003.25, "end": 3004.27, "word": "صح؟", "probability": 0.4837646484375}, {"start": 3004.27, "end": 3004.77, "word": " طب", "probability": 0.74755859375}, {"start": 3004.77, "end": 3005.05, "word": " إيش", "probability": 0.7039388020833334}, {"start": 3005.05, "end": 3005.45, "word": " رايك", "probability": 0.8317057291666666}, {"start": 3005.45, "end": 3005.69, "word": " لو", "probability": 0.95654296875}, {"start": 3005.69, "end": 3006.11, "word": " جيت", "probability": 0.96240234375}, {"start": 3006.11, "end": 3006.89, "word": " قلتلك", "probability": 0.7384033203125}, {"start": 3006.89, "end": 3007.39, "word": " ال", "probability": 0.943359375}, {"start": 3007.39, "end": 3007.83, "word": " a", "probability": 0.5859375}, {"start": 3007.83, "end": 3009.53, "word": " a", "probability": 0.71435546875}, {"start": 3009.53, "end": 3010.81, "word": " inverse", "probability": 0.86474609375}, {"start": 3010.81, "end": 3011.33, "word": " b", "probability": 0.76416015625}, {"start": 3011.33, "end": 3012.99, "word": " هل", "probability": 0.945068359375}, {"start": 3012.99, "end": 3014.11, "word": " يساوي", "probability": 0.9615478515625}, {"start": 3014.11, "end": 3014.99, "word": " ال", "probability": 0.9482421875}, {"start": 3014.99, "end": 3016.39, "word": " b", "probability": 0.73193359375}, {"start": 3016.39, "end": 3017.09, "word": " في", "probability": 0.88330078125}, {"start": 3017.09, "end": 3017.37, "word": " ال", "probability": 0.75439453125}, {"start": 3017.37, "end": 3017.79, "word": " a", "probability": 0.96875}, {"start": 3017.79, "end": 3018.67, "word": " inverse", "probability": 0.8896484375}, {"start": 3018.67, "end": 3018.93, "word": " a", "probability": 0.91259765625}, {"start": 3018.93, "end": 3019.13, "word": " ولا", "probability": 0.72509765625}, {"start": 3019.13, "end": 3019.57, "word": " لا؟", "probability": 0.7158203125}, {"start": 3019.57, "end": 3020.43, "word": " لأن", "probability": 0.73876953125}, {"start": 3020.43, "end": 3020.87, "word": " هذا", "probability": 0.89892578125}, {"start": 3020.87, "end": 3021.13, "word": " ال", "probability": 0.98193359375}, {"start": 3021.13, "end": 3022.07, "word": " identity", "probability": 0.9482421875}, {"start": 3022.07, "end": 3022.99, "word": " وهذا", "probability": 0.8017578125}, {"start": 3022.99, "end": 3023.17, "word": " ال", "probability": 0.9921875}, {"start": 3023.17, "end": 3024.57, "word": " identity،", "probability": 0.6414794921875}, {"start": 3024.57, "end": 3025.69, "word": " مظبوط؟", "probability": 0.9348958333333334}, {"start": 3025.69, "end": 3026.03, "word": " طب", "probability": 0.96484375}, {"start": 3026.03, "end": 3026.55, "word": " اتطلع", "probability": 0.8443359375}, {"start": 3026.55, "end": 3027.11, "word": " العنصر", "probability": 0.96435546875}, {"start": 3027.11, "end": 3027.31, "word": " اللي", "probability": 0.962890625}, {"start": 3027.31, "end": 3027.47, "word": " في", "probability": 0.9013671875}, {"start": 3027.47, "end": 3028.03, "word": " المص", "probability": 0.854736328125}, {"start": 3028.03, "end": 3028.45, "word": " هنا", "probability": 0.87646484375}], "temperature": 1.0}, {"id": 123, "seek": 305525, "start": 3030.37, "end": 3055.25, "text": "والعنصر اللى فى النص ده هو نفسه وحاصل ضرب تلت عناصر زى ما انت شايف بيساووا بعض يبقى بال assumption ايش بدي يطلع a فى b بدى يساوي b فى a يبقى g is abelian يبقى هنا from assumption we have", "tokens": [2407, 6027, 3615, 1863, 9381, 2288, 13672, 7578, 6156, 7578, 28239, 9381, 11778, 3224, 31439, 8717, 36178, 3224, 4032, 5016, 33546, 1211, 48812, 25513, 6055, 1211, 2655, 18871, 33546, 2288, 30767, 7578, 19446, 16472, 2655, 13412, 995, 33911, 4724, 1829, 3794, 995, 2407, 14407, 45030, 11242, 7251, 3555, 4587, 7578, 20666, 15302, 1975, 1829, 8592, 4724, 16254, 7251, 9566, 1211, 3615, 257, 6156, 7578, 272, 47525, 7578, 7251, 3794, 995, 45865, 272, 6156, 7578, 257, 7251, 3555, 4587, 7578, 290, 307, 410, 338, 952, 7251, 3555, 4587, 7578, 34105, 490, 15302, 321, 362], "avg_logprob": -0.2185837745349458, "compression_ratio": 1.5737704918032787, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 3030.3700000000003, "end": 3031.09, "word": "والعنصر", "probability": 0.7876790364583334}, {"start": 3031.09, "end": 3031.25, "word": " اللى", "probability": 0.621337890625}, {"start": 3031.25, "end": 3031.43, "word": " فى", "probability": 0.773193359375}, {"start": 3031.43, "end": 3031.79, "word": " النص", "probability": 0.844482421875}, {"start": 3031.79, "end": 3032.11, "word": " ده", "probability": 0.693359375}, {"start": 3032.11, "end": 3032.31, "word": " هو", "probability": 0.9560546875}, {"start": 3032.31, "end": 3033.11, "word": " نفسه", "probability": 0.9964192708333334}, {"start": 3033.11, "end": 3034.33, "word": " وحاصل", "probability": 0.9356689453125}, {"start": 3034.33, "end": 3034.75, "word": " ضرب", "probability": 0.9853515625}, {"start": 3034.75, "end": 3035.37, "word": " تلت", "probability": 0.8391927083333334}, {"start": 3035.37, "end": 3036.07, "word": " عناصر", "probability": 0.7638346354166666}, {"start": 3036.07, "end": 3036.37, "word": " زى", "probability": 0.9658203125}, {"start": 3036.37, "end": 3036.47, "word": " ما", "probability": 0.904296875}, {"start": 3036.47, "end": 3036.71, "word": " انت", "probability": 0.808837890625}, {"start": 3036.71, "end": 3037.01, "word": " شايف", "probability": 0.9884440104166666}, {"start": 3037.01, "end": 3037.51, "word": " بيساووا", "probability": 0.686279296875}, {"start": 3037.51, "end": 3037.95, "word": " بعض", "probability": 0.990966796875}, {"start": 3037.95, "end": 3039.31, "word": " يبقى", "probability": 0.9537353515625}, {"start": 3039.31, "end": 3039.67, "word": " بال", "probability": 0.93212890625}, {"start": 3039.67, "end": 3040.21, "word": " assumption", "probability": 0.69384765625}, {"start": 3040.21, "end": 3040.53, "word": " ايش", "probability": 0.7425130208333334}, {"start": 3040.53, "end": 3040.77, "word": " بدي", "probability": 0.759033203125}, {"start": 3040.77, "end": 3041.29, "word": " يطلع", "probability": 0.912109375}, {"start": 3041.29, "end": 3042.01, "word": " a", "probability": 0.39208984375}, {"start": 3042.01, "end": 3042.27, "word": " فى", "probability": 0.785400390625}, {"start": 3042.27, "end": 3042.47, "word": " b", "probability": 0.970703125}, {"start": 3042.47, "end": 3042.77, "word": " بدى", "probability": 0.3729248046875}, {"start": 3042.77, "end": 3043.21, "word": " يساوي", "probability": 0.774169921875}, {"start": 3043.21, "end": 3043.57, "word": " b", "probability": 0.5673828125}, {"start": 3043.57, "end": 3043.85, "word": " فى", "probability": 0.82275390625}, {"start": 3043.85, "end": 3043.99, "word": " a", "probability": 0.98388671875}, {"start": 3043.99, "end": 3044.29, "word": " يبقى", "probability": 0.970947265625}, {"start": 3044.29, "end": 3044.55, "word": " g", "probability": 0.896484375}, {"start": 3044.55, "end": 3044.85, "word": " is", "probability": 0.78662109375}, {"start": 3044.85, "end": 3045.53, "word": " abelian", "probability": 0.7465006510416666}, {"start": 3045.53, "end": 3046.59, "word": " يبقى", "probability": 0.9901123046875}, {"start": 3046.59, "end": 3046.93, "word": " هنا", "probability": 0.986328125}, {"start": 3046.93, "end": 3047.71, "word": " from", "probability": 0.8798828125}, {"start": 3047.71, "end": 3051.61, "word": " assumption", "probability": 0.953125}, {"start": 3051.61, "end": 3054.79, "word": " we", "probability": 0.908203125}, {"start": 3054.79, "end": 3055.25, "word": " have", "probability": 0.96630859375}], "temperature": 1.0}, {"id": 124, "seek": 308133, "start": 3057.61, "end": 3081.33, "text": "إن ال A بيبدي سوى ال B إيه هذا بدي أعطينا إن ال G is abelian يعني أنا تحت هذه الخاصية قدرت أحكم على G is abelian لو الخاصية هذه مش عندي لأ يمكن أقدر أثبت أو أبين إن ال G هذه عبارة عن abelian group", "tokens": [28814, 1863, 2423, 316, 4724, 1829, 3555, 16254, 8608, 2407, 7578, 2423, 363, 11933, 1829, 3224, 23758, 4724, 16254, 5551, 3615, 9566, 1829, 8315, 36145, 2423, 460, 307, 410, 338, 952, 37495, 22653, 41850, 6055, 33753, 29538, 33962, 33546, 10632, 12174, 3215, 43500, 5551, 5016, 24793, 15844, 460, 307, 410, 338, 952, 45164, 33962, 33546, 10632, 29538, 37893, 18871, 16254, 5296, 10721, 7251, 43020, 5551, 28543, 2288, 5551, 12984, 3555, 2655, 34051, 5551, 3555, 9957, 36145, 2423, 460, 29538, 6225, 3555, 9640, 3660, 18871, 410, 338, 952, 1594], "avg_logprob": -0.20610954922236754, "compression_ratio": 1.6956521739130435, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 3057.61, "end": 3057.97, "word": "إن", "probability": 0.6607666015625}, {"start": 3057.97, "end": 3058.21, "word": " ال", "probability": 0.8876953125}, {"start": 3058.21, "end": 3058.57, "word": " A", "probability": 0.2154541015625}, {"start": 3058.57, "end": 3059.25, "word": " بيبدي", "probability": 0.6309814453125}, {"start": 3059.25, "end": 3059.75, "word": " سوى", "probability": 0.71240234375}, {"start": 3059.75, "end": 3059.91, "word": " ال", "probability": 0.88916015625}, {"start": 3059.91, "end": 3060.19, "word": " B", "probability": 0.8583984375}, {"start": 3060.19, "end": 3060.65, "word": " إيه", "probability": 0.6964925130208334}, {"start": 3060.65, "end": 3061.25, "word": " هذا", "probability": 0.448974609375}, {"start": 3061.25, "end": 3061.61, "word": " بدي", "probability": 0.693359375}, {"start": 3061.61, "end": 3062.05, "word": " أعطينا", "probability": 0.7072265625}, {"start": 3062.05, "end": 3062.25, "word": " إن", "probability": 0.56689453125}, {"start": 3062.25, "end": 3062.47, "word": " ال", "probability": 0.8828125}, {"start": 3062.47, "end": 3062.73, "word": " G", "probability": 0.92626953125}, {"start": 3062.73, "end": 3063.55, "word": " is", "probability": 0.88330078125}, {"start": 3063.55, "end": 3064.57, "word": " abelian", "probability": 0.8546549479166666}, {"start": 3064.57, "end": 3065.49, "word": " يعني", "probability": 0.88330078125}, {"start": 3065.49, "end": 3065.87, "word": " أنا", "probability": 0.8076171875}, {"start": 3065.87, "end": 3066.39, "word": " تحت", "probability": 0.99658203125}, {"start": 3066.39, "end": 3066.95, "word": " هذه", "probability": 0.9912109375}, {"start": 3066.95, "end": 3068.05, "word": " الخاصية", "probability": 0.9912109375}, {"start": 3068.05, "end": 3068.99, "word": " قدرت", "probability": 0.9153645833333334}, {"start": 3068.99, "end": 3069.53, "word": " أحكم", "probability": 0.9816080729166666}, {"start": 3069.53, "end": 3069.89, "word": " على", "probability": 0.84375}, {"start": 3069.89, "end": 3070.13, "word": " G", "probability": 0.802734375}, {"start": 3070.13, "end": 3070.39, "word": " is", "probability": 0.8603515625}, {"start": 3070.39, "end": 3070.89, "word": " abelian", "probability": 0.9267578125}, {"start": 3070.89, "end": 3071.51, "word": " لو", "probability": 0.931640625}, {"start": 3071.51, "end": 3072.17, "word": " الخاصية", "probability": 0.986328125}, {"start": 3072.17, "end": 3072.45, "word": " هذه", "probability": 0.6884765625}, {"start": 3072.45, "end": 3072.67, "word": " مش", "probability": 0.9853515625}, {"start": 3072.67, "end": 3073.05, "word": " عندي", "probability": 0.819580078125}, {"start": 3073.05, "end": 3073.37, "word": " لأ", "probability": 0.508544921875}, {"start": 3073.37, "end": 3073.91, "word": " يمكن", "probability": 0.940673828125}, {"start": 3073.91, "end": 3074.71, "word": " أقدر", "probability": 0.9524739583333334}, {"start": 3074.71, "end": 3076.07, "word": " أثبت", "probability": 0.982666015625}, {"start": 3076.07, "end": 3076.29, "word": " أو", "probability": 0.9150390625}, {"start": 3076.29, "end": 3076.79, "word": " أبين", "probability": 0.9265950520833334}, {"start": 3076.79, "end": 3077.05, "word": " إن", "probability": 0.7705078125}, {"start": 3077.05, "end": 3077.29, "word": " ال", "probability": 0.91748046875}, {"start": 3077.29, "end": 3077.53, "word": " G", "probability": 0.97998046875}, {"start": 3077.53, "end": 3078.03, "word": " هذه", "probability": 0.646484375}, {"start": 3078.03, "end": 3078.69, "word": " عبارة", "probability": 0.998046875}, {"start": 3078.69, "end": 3079.09, "word": " عن", "probability": 0.99169921875}, {"start": 3079.09, "end": 3080.51, "word": " abelian", "probability": 0.9532877604166666}, {"start": 3080.51, "end": 3081.33, "word": " group", "probability": 0.97021484375}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 3093.40875, "duration_after_vad": 2936.669999999988}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/6-VZH90aeqE_raw.srt b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/6-VZH90aeqE_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..07262813c7a05aeb4c1b3bde5bd249f2d57e57e2
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/6-VZH90aeqE_raw.srt
@@ -0,0 +1,2004 @@
+1
+00:00:21,240 --> 00:00:24,560
+بسم الله الرحمن الرحيم اليوم ان شاء الله عندنا
+
+2
+00:00:24,560 --> 00:00:29,220
+مناقشة لما سبقت دراسته في chapter الأول و هو
+
+3
+00:00:29,220 --> 00:00:33,580
+chapter ال groups تمام؟ في عندنا مجموعة من المسائل
+
+4
+00:00:33,580 --> 00:00:37,480
+الطلبنا المرة اللي فاتت اتحلوها و بنتوقف عندها
+
+5
+00:00:37,480 --> 00:00:42,160
+اليوم في هذه المحاضرة ان شاء الله السؤال الأول هو
+
+6
+00:00:42,160 --> 00:00:46,040
+السؤال الخامس بيقول لي هاتلي معكوس المصوفة اتنين
+
+7
+00:00:46,040 --> 00:00:50,430
+ستة تلاتة خمسةالموجودة في ال general linear group
+
+8
+00:00:50,430 --> 00:00:55,530
+of two by two matrices over z دق احداش في حاجة
+
+9
+00:00:55,530 --> 00:01:03,290
+صرابت فيها هذا طب
+
+10
+00:01:03,290 --> 00:01:08,090
+اليوم ده خليها تطلع ان شاء الله ماشي يبقى انا عندي
+
+11
+00:01:08,090 --> 00:01:14,630
+المصوفة اتنين ستة تلاتة خمسةيبقى عندى اتنين اللى
+
+12
+00:01:14,630 --> 00:01:20,210
+هو السؤال الخامس اتنين ستة تلاتة خمسة هيك مظبوط؟
+
+13
+00:01:21,940 --> 00:01:25,940
+يبقى انا عند المصغوفة هذه بدنا نحاول نجيب المعكوس
+
+14
+00:01:25,940 --> 00:01:31,140
+لهذه المصغوفة مشان نجيب المعكوس لهذه المصغوفة طبعا
+
+15
+00:01:31,140 --> 00:01:35,860
+العناصر اتنين ستة تلاتة خمسة موجودة وين في ال z دي
+
+16
+00:01:35,860 --> 00:01:40,000
+احداشر في الأول بدي اتأكد ان ليها معكوس ولا لأ
+
+17
+00:01:40,000 --> 00:01:45,610
+فبروح بجيب مين المحدد تبع هذه المصغوفةيبقى لو جيت
+
+18
+00:01:45,610 --> 00:01:51,930
+اخدتلها determinant لأتنين ستة تلاتة خمسة بده يسوى
+
+19
+00:01:51,930 --> 00:01:58,350
+تلاتة في خمسة اتنين في خمسة بعاشرة وستة في تلاتة
+
+20
+00:01:58,350 --> 00:02:07,440
+بتمنتاش كل هذا الكلام module 11يبقى هذا الكلام بده
+
+21
+00:02:07,440 --> 00:02:14,000
+يساوي سالب تمانية موديولون احداشر ماعنديش حاجة
+
+22
+00:02:14,000 --> 00:02:18,700
+اسمة سالفة بروح باضيف احداشر لسلب تمانية بصير
+
+23
+00:02:18,700 --> 00:02:24,800
+الجواب قداشر تلاتةإذا قيمة المحدد تساوي تلاتة لا
+
+24
+00:02:24,800 --> 00:02:31,140
+يساوي Zero إذا هنا الـ A المصوف هذه لها معكوس الآن
+
+25
+00:02:31,140 --> 00:02:34,460
+بدنا نجيب المعكوس أخدنا مثال الـ General Linear
+
+26
+00:02:34,460 --> 00:02:40,960
+Group of 2x2 matrices over R المعكوس تبعها واحد
+
+27
+00:02:40,960 --> 00:02:45,500
+على محدد الـ A بغير عناصر القطر الرئيسي مكان بعضه
+
+28
+00:02:45,500 --> 00:02:51,560
+بغير إشارات عناصر القطر الثانوييبقى هذا الكلام لو
+
+29
+00:02:51,560 --> 00:02:57,680
+جيت سميت المصوفة هذه ايه بدي اقوله a inverse بده
+
+30
+00:02:57,680 --> 00:03:05,080
+يساوي تلت في المحدد في المصوفة أي خمسة اتنين سالب
+
+31
+00:03:05,080 --> 00:03:13,670
+ستة سالب تلتة يبقى هذا تلت فيالان انا ماعنديش سلب
+
+32
+00:03:13,670 --> 00:03:16,950
+تلاتة او سلب ستة يبقى بروح و بضيف لكل واحدة فيهم
+
+33
+00:03:16,950 --> 00:03:22,410
+جداش المقاس اللي احنا ماشيين عليه ال 11 يبقى خمسة
+
+34
+00:03:22,410 --> 00:03:27,370
+هنا لو اضفت 11 بيبقى الجداش كمان خمسة هنا لو اضفت
+
+35
+00:03:27,370 --> 00:03:35,520
+11 بيصير تمانية و هنا اتنينكل هذه عناصر موديولو 11
+
+36
+00:03:35,520 --> 00:03:39,480
+يعني خمسة موديولو 11 تمانية موديولو 11 اتنين
+
+37
+00:03:39,480 --> 00:03:44,340
+موديولو 11 هل اضرب التلت في العناصر اللي جوا
+
+38
+00:03:47,100 --> 00:03:51,760
+بتبطل يصير في زد احداشي، الكلام مش صحيح طيب إذا شو
+
+39
+00:03:51,760 --> 00:03:57,200
+نعمل؟ بده أروح العناصر الجوة أضفلها مضاعفات احداشر
+
+40
+00:03:57,200 --> 00:04:01,420
+بحيث كل واحد يصير فيهم يقسم على تلاتة، هتصير
+
+41
+00:04:01,420 --> 00:04:06,600
+كلامنا صحيح، إذا هذه المصوفة لو جيت قلت what تساوي
+
+42
+00:04:06,600 --> 00:04:13,320
+هي التلت اللي براوهي المصموفة لان أحداشر وخمسة ستة
+
+43
+00:04:13,320 --> 00:04:18,120
+عشر تقسمها تلاتة لأ كمان أحداشر وستة عشر سبعة
+
+44
+00:04:18,120 --> 00:04:23,640
+وعشرين سبعة وعشرين تقسم مظبوط يبقى هذه الخمسات
+
+45
+00:04:23,640 --> 00:04:30,020
+كافة سبعة وعشرين مضي الأحداشر تمام؟ اللي بعدها
+
+46
+00:04:30,020 --> 00:04:34,760
+زيها هاي سبعة وعشرين مضي الأحداشر نجي للتمانية
+
+47
+00:04:34,760 --> 00:04:42,210
+واحداشر تسعة عشرتسعة طاش وكمان احداش تلاتين اه
+
+48
+00:04:42,210 --> 00:04:48,470
+تقسم يبقى هنا تلاتين و هذه اتنين و احداش تلاتاش
+
+49
+00:04:48,470 --> 00:04:54,770
+وكمان احداش اربعة وعشرين تقسم على تلاتة يبقى هذه
+
+50
+00:04:54,770 --> 00:05:01,430
+كمان اربعة وعشرين يبقى صارت على تلاتة فيها تسعة
+
+51
+00:05:01,430 --> 00:05:08,130
+تسعة وهنا فيها عشرة وهنا فيها تمانية الشكل عندنا
+
+52
+00:05:08,790 --> 00:05:14,450
+لاحظ ان جميع العلاصر اللتي حصلنا عليها تسعة تسعة
+
+53
+00:05:14,450 --> 00:05:21,230
+تمانية عشرة كلها موجودة في Z11 كلها موجودة في Z11
+
+54
+00:05:21,230 --> 00:05:27,030
+الان بدك تتأكد ان هذا الكلام صحيح فعلا هذي معكوس
+
+55
+00:05:27,030 --> 00:05:31,170
+لها ديش بدنا نعمل بدنا نضرب و نستخدم ال module 11
+
+56
+00:05:31,170 --> 00:05:36,520
+يبقى هذا إلك في الداربراحتك تضرب المصفوفة الان ال
+
+57
+00:05:36,520 --> 00:05:42,400
+a a inverse بده يساوي اللي هو اتنين ستة تلاتة خمسة
+
+58
+00:05:42,400 --> 00:05:48,000
+في مين في تسعة تسعة عشرة تمانية براحتك و هذا
+
+59
+00:05:48,000 --> 00:05:53,420
+الكلام لازم يطلع واحد زيرو زيرو واحد و لا بصير
+
+60
+00:05:53,420 --> 00:05:57,900
+كلامنا معله مش صحيح طب يجب ان تعملها في الدار
+
+61
+00:05:57,900 --> 00:06:02,210
+بعملك بس اول termوالباقي بنفس الطريقة يبقى انا بدى
+
+62
+00:06:02,210 --> 00:06:07,350
+اضرب اتنين في تسعة تمانتاش تمانتاش وستة في عشرة
+
+63
+00:06:07,350 --> 00:06:13,590
+بستين وتمانتاش تمانية وسبعين بنشيل منهم احداش
+
+64
+00:06:13,590 --> 00:06:17,130
+احداش في سبعة بسبعة بسبعين كده اش مضال خلاص نهي
+
+65
+00:06:17,130 --> 00:06:21,050
+الواحد موجود وها كده عملك التاني شفوي كمان ولا
+
+66
+00:06:21,050 --> 00:06:26,030
+خلاص خلاصنا منه الصعب هذاسؤال خمسة طيب هذا سؤال
+
+67
+00:06:26,030 --> 00:06:32,690
+خمسة سؤال ستة سؤال ستة بيقوليش give an example of
+
+68
+00:06:32,690 --> 00:06:38,270
+a group elements a و b with property that ان ال a
+
+69
+00:06:38,270 --> 00:06:44,320
+inverse b a لا يساوي ال bشوف يا سيدي السؤال
+
+70
+00:06:44,320 --> 00:06:48,840
+الأربعة و السؤال الستة الاتنين are the same بصراحة
+
+71
+00:06:48,840 --> 00:06:55,160
+السؤال الستة صغب صيغة أخرى قالك بي انفرست بي اي لا
+
+72
+00:06:55,160 --> 00:07:01,200
+يساوي البي يبقى السؤال الستة قالك بي انفرست اي بي
+
+73
+00:07:01,200 --> 00:07:07,680
+لا يساوي البي طب انا لو ضربت في بي من جهة الشمال
+
+74
+00:07:07,680 --> 00:07:13,440
+ضربت في بي من جهة الشمالبإنفرست بي إيه بقى بي إيه
+
+75
+00:07:13,440 --> 00:07:18,680
+بقى بي إيه بقى بي إيه بقى بي إيه بقى بي إيه بقى بي
+
+76
+00:07:18,680 --> 00:07:21,040
+إيه بقى بي إيه بقى بي إيه بقى بي إيه بقى بي إيه
+
+77
+00:07:21,040 --> 00:07:23,600
+بقى بي إيه بقى بي إيه بقى بي إيه بقى بي إيه بقى بي
+
+78
+00:07:23,600 --> 00:07:23,740
+إيه بقى بي إيه بقى بي إيه بقى بي إيه بقى بي إيه
+
+79
+00:07:23,740 --> 00:07:26,580
+بقى بي إيه بقى بي إيه بقى بي إيه بقى بي إيه بقى بي
+
+80
+00:07:26,580 --> 00:07:36,000
+إيه بقى بي إيه بقى بي إيه بقى بي
+
+81
+00:07:38,610 --> 00:07:43,530
+يعني بيقولي هاتلي مثال ل group بحيث لو أخدت عنصرين
+
+82
+00:07:43,530 --> 00:07:47,910
+منها ضربت ال b في a هتلاقي لا يساوي ال a في b نفس
+
+83
+00:07:47,910 --> 00:07:52,390
+السؤال اللي هو تبع اربعة بالضبط تماما جالك هاتلي
+
+84
+00:07:52,390 --> 00:07:57,390
+مثال ل non appealing group او ل group بحيث ال a في
+
+85
+00:07:57,390 --> 00:08:02,050
+b لا يساوي ال b في a يبقى اربعة و ستة نفس الفكرة
+
+86
+00:08:02,050 --> 00:08:10,460
+بالضبط تماماطيب مين عندك non abelian group؟ حد
+
+87
+00:08:10,460 --> 00:08:15,220
+بيقدر يجيبلي مثال؟ ممتاز جدا، يبقى ال general
+
+88
+00:08:15,220 --> 00:08:19,040
+linear group of two by two matrices over R أبسط
+
+89
+00:08:19,040 --> 00:08:27,410
+مثل، نعطي كمان مثل آخر عملي؟ نعطي؟ D4يبقى D4 مثال
+
+90
+00:08:27,410 --> 00:08:30,650
+محلول معاك و ال general linear group كمان مثال
+
+91
+00:08:30,650 --> 00:08:35,790
+محلول كفنا احنا بكف اتنين هاي اعطيناك بدل المثال
+
+92
+00:08:35,790 --> 00:08:42,490
+اتنين يبقى كمثال على ذلك عندك D4 او عندك كمان ال
+
+93
+00:08:42,490 --> 00:08:45,950
+general linear group of two by two matrices over R
+
+94
+00:08:45,950 --> 00:08:51,540
+عملية ضرب المصطفات هل هي إبدالية؟لأ اتنين ال D4 هل
+
+95
+00:08:51,540 --> 00:08:56,240
+هي abelian طبعا يبقى امسك اي عنصرين هات واحد مثلا
+
+96
+00:08:56,240 --> 00:08:59,240
+من ال rotation واحد من ال inflection وضربهم في بعض
+
+97
+00:08:59,240 --> 00:09:02,820
+و اجلب طبعا حسبنا معاكوا الكلام هذا هتلاقي ال A في
+
+98
+00:09:02,820 --> 00:09:06,580
+B اللي هي و سوى مين ال B في A وهي عندك بدل المثال
+
+99
+00:09:06,580 --> 00:09:11,600
+اتنين بعد الستة بدنا نروح ل تمانية تمانية في
+
+100
+00:09:11,600 --> 00:09:15,260
+مشكلها ده اعداد عادية مش في مشكلة طب مين ال
+
+101
+00:09:15,260 --> 00:09:21,460
+identity element؟اللي قال له سؤال تمانية خمسة و
+
+102
+00:09:21,460 --> 00:09:25,340
+عشرين هو ال identity element على طول خاطر اضرب اي
+
+103
+00:09:25,340 --> 00:09:30,580
+element من الست اللي عندك اللي هو خمستاشر و خمسة و
+
+104
+00:09:30,580 --> 00:09:36,160
+تلاتين بتلاقي نفس ال element موجود هو هويبقى
+
+105
+00:09:36,160 --> 00:09:40,860
+الخمسة و عشرين هو ال identity element يبقى احنا
+
+106
+00:09:40,860 --> 00:09:43,880
+عندنا الخمسة و الخمستاشر و الخمسة و عشرين و الخمسة
+
+107
+00:09:43,880 --> 00:09:48,720
+و تلاتين اربع عناصر عنصر الوحدة فيهم هو خمسة و
+
+108
+00:09:48,720 --> 00:09:53,080
+عشرين طبعا modulo اربعين يعني المقياس اللي احنا
+
+109
+00:09:53,080 --> 00:09:58,340
+ماشيه اللي همين اللي هو الاربعين طيب نيجي لسؤال
+
+110
+00:09:58,340 --> 00:10:05,340
+الآن عشرة سؤال عشرة ماطيني two sets ال set الأولى
+
+111
+00:10:07,720 --> 00:10:13,960
+سؤال عشرة بيقول list the elements of H بدها تساوي
+
+112
+00:10:13,960 --> 00:10:22,520
+كل العناصر X ترابيع بحيث ال X موجودة في D4 وكذلك
+
+113
+00:10:22,520 --> 00:10:29,700
+ال 6 التانية لكبتل K لكل العناصر X اللي موجودة في
+
+114
+00:10:29,700 --> 00:10:39,410
+D4 بحيث ان X² is equal to the identity elementيبقى
+
+115
+00:10:39,410 --> 00:10:45,730
+امام احنا سؤالين كل سؤال بدنا نحسبه على حدة الان
+
+116
+00:10:45,730 --> 00:10:53,050
+لما نيجي ل D4 ال D4 العناصر تبعتها ر نول و R تسعين
+
+117
+00:10:53,050 --> 00:11:00,750
+و R مية و تمانين و R متين و سبعين و ال H و ال V و
+
+118
+00:11:00,750 --> 00:11:06,240
+ال D و ال D primeيبقى هاي التمن عناصر تبعتها بدنا
+
+119
+00:11:06,240 --> 00:11:12,160
+نيجي نحسبله الست الأولى من H كل العناصر X تربيع
+
+120
+00:11:12,160 --> 00:11:17,660
+بحيث ال X موجودة في D يعني ايه؟ بدأ أخد عنصر من D4
+
+121
+00:11:17,660 --> 00:11:22,820
+و أروح أربعه و النتج أحطه في من؟ في هذه الست يبقى
+
+122
+00:11:22,820 --> 00:11:28,820
+بناء عليه ال H بدها تساوي بدأ أمسك أرنود لو ربعته
+
+123
+00:11:28,820 --> 00:11:33,670
+من بيطلعأر نود نفسه يبقى ار نود موجود في هذه
+
+124
+00:11:33,670 --> 00:11:38,970
+المجموعة بالداخل الار تسعين لو ربعته شو بطلع ار
+
+125
+00:11:38,970 --> 00:11:44,850
+مية و تمانين يبقى ار مية و تمانين بالداخل الار مية
+
+126
+00:11:44,850 --> 00:11:49,110
+و تمانين لو ربعتها ار نود موجودة يبقى بسيبها
+
+127
+00:11:49,110 --> 00:11:53,170
+بالداخل الار متين و سبعين لو ربعتها
+
+128
+00:11:55,600 --> 00:12:01,440
+ر كده؟ 180 يعني بصير ر ميتين و سبعين خمس مية و
+
+129
+00:12:01,440 --> 00:12:05,320
+أربعين شيل منهم الدورة الكاملة اللي هي تلت مية و
+
+130
+00:12:05,320 --> 00:12:11,700
+ستين بيضلل مية و تمانين هي موجودة يبقى هذه كمان
+
+131
+00:12:11,700 --> 00:12:17,260
+ضالة موجودة طب ده رابع ال H تربيع ال identity are
+
+132
+00:12:17,260 --> 00:12:24,210
+not هي موجودةأرنود ارنود ارنود ارنود
+
+133
+00:12:24,210 --> 00:12:30,050
+ارنود ارنود ارنود ارنود ارنود ارنود ارنود ارنود
+
+134
+00:12:30,050 --> 00:12:30,050
+ارنود ارنود ارنود ارنود ارنود ارنود ارنود ارنود
+
+135
+00:12:30,050 --> 00:12:30,290
+ارنود ارنود ارنود ارنود ارنود ارنود ارنود ارنود
+
+136
+00:12:30,290 --> 00:12:31,350
+ارنود ارنود ارنود ارنود ارنود ارنود ارنود ارنود
+
+137
+00:12:31,350 --> 00:12:39,570
+ارنود ارنود ارنود ارنود ارنود ارنود ارنود ارنود
+
+138
+00:12:39,570 --> 00:12:45,320
+ارنوالـ K بده يساوي كل العناصر اللي فيه D4 لما
+
+139
+00:12:45,320 --> 00:12:49,920
+ربيعها بده يعطينا ال identity كتبنا هلكم كتبنا
+
+140
+00:12:49,920 --> 00:12:54,600
+R180 تربية بقداش بال identity و لاتش تربية و ال V
+
+141
+00:12:54,600 --> 00:12:57,120
+تربية و ال D تربية و ال D prime تربية كله بال
+
+142
+00:12:57,120 --> 00:13:05,960
+identity إذا عناصر ال Kالرقم الرابع يبقى الـ
+
+143
+00:13:05,960 --> 00:13:14,640
+identity نفسه الـ identity الار نوت الار
+
+144
+00:13:14,640 --> 00:13:17,800
+تسعين
+
+145
+00:13:17,800 --> 00:13:25,130
+الار تمانينيبقى الار مية و تمانين تعطينا ال
+
+146
+00:13:25,130 --> 00:13:29,010
+identity الار متين و سبعين لو ربعتها بتعطينا ايه؟
+
+147
+00:13:29,010 --> 00:13:34,750
+بتعطينا المية و تمانين اللي بعدها ال H و ال V و ال
+
+148
+00:13:34,750 --> 00:13:39,470
+D و ال D prime كلها هذه لو ربعتها بتعطينا ميه؟ ال
+
+149
+00:13:39,470 --> 00:13:44,150
+identity element يبقى هذا بالنسبة لسؤال عشرة
+
+150
+00:13:44,150 --> 00:13:46,450
+بالنسبة لسؤال اتناش
+
+151
+00:13:50,380 --> 00:13:55,380
+12 بيقول لي for any integer n greater than or
+
+152
+00:13:55,380 --> 00:13:58,540
+equal to two show that there are at least two
+
+153
+00:13:58,540 --> 00:14:04,880
+elements in U N such that ال .. such that اللي هو
+
+154
+00:14:04,880 --> 00:14:08,960
+satisfy ال X تربيع بده يسمى main ال identity
+
+155
+00:14:08,960 --> 00:14:19,680
+element لو جيت الآن لل U Nعناصرها واحد وكداش
+
+156
+00:14:19,680 --> 00:14:27,340
+اخر عنصر الناقص واحد تمام يبقى هذا العنصر الأخير
+
+157
+00:14:27,340 --> 00:14:38,060
+في ال group بيقول يبين ليهذا المعادل يحقق
+
+158
+00:14:38,060 --> 00:14:43,780
+على أقل اتنين يحققوا المعادلة X تربية تساوي واحد
+
+159
+00:14:43,780 --> 00:14:49,880
+يعني مربع العنصرالـ identity element طبعا ممكن أقل
+
+160
+00:14:49,880 --> 00:14:53,400
+حاجة فيها اتنين لكن ممكن يكون فيها أربعة ممكن يكون
+
+161
+00:14:53,400 --> 00:14:57,540
+فيها ستة ممكن ممكن إلى آخره تمام طيب احنا بدنا
+
+162
+00:14:57,540 --> 00:15:03,760
+نيجي نشوف هل هذه ال group فيها two elements لو
+
+163
+00:15:03,760 --> 00:15:09,300
+ربعتهم بيعطينا ال identity element ولا لا الواحد
+
+164
+00:15:09,300 --> 00:15:12,220
+مربع بواحد يبقى واحد فيهم التاني
+
+165
+00:15:17,630 --> 00:15:23,590
+الان ادعى ان العنصرين اللي بحققوا المعادلة x
+
+166
+00:15:23,590 --> 00:15:30,610
+تربيها تساوي واحد هما الست التالية واحد وان ناقص
+
+167
+00:15:30,610 --> 00:15:34,930
+واحد ممكن يكون في غيرهم هه بس هو ايش بيقولي بيقولي
+
+168
+00:15:34,930 --> 00:15:39,680
+اثبت انه على الأقل عندى اتنينبقول الان انا هذول
+
+169
+00:15:39,680 --> 00:15:45,240
+ليش because السبب ان هذول هم اللي بيحقوا المعادلة
+
+170
+00:15:45,240 --> 00:15:51,660
+الواحد تربية شو بيعطيني الواحد it's ال and ان ناقص
+
+171
+00:15:51,660 --> 00:15:55,260
+واحد لكل تربية هذا لازم يعطينا ال identity اللي هو
+
+172
+00:15:55,260 --> 00:16:01,880
+مين واحد طيب هذا لو ربعته بيصير ان تربية ناقص
+
+173
+00:16:01,880 --> 00:16:09,990
+اتنين ان زائد واحد هذا الكلام كله ايهكله مضيوله in
+
+174
+00:16:09,990 --> 00:16:15,870
+تمام يعني كل ال in هذي بده يشيلها طيب هذي in تربيه
+
+175
+00:16:15,870 --> 00:16:22,210
+باعتبارها قداش zero سالب اتنين in كمان zero لإن كل
+
+176
+00:16:22,210 --> 00:16:27,350
+in بده كده تحذفها ومضعفها تقدرش بيضل عندنا بيضل
+
+177
+00:16:27,350 --> 00:16:32,730
+اللي هو الواحد يبقى بناء عليه عند العنصرين هدول هم
+
+178
+00:16:32,730 --> 00:16:40,930
+اللذان يحققانهذه المعادلة طيب هذا سؤال اتناش بعده
+
+179
+00:16:40,930 --> 00:16:47,750
+بروح لسؤال سبعتاش مش هيك سؤال سبعتاش نمسح الناحية
+
+180
+00:16:47,750 --> 00:16:48,190
+هذه
+
+181
+00:17:03,160 --> 00:17:08,180
+السؤال السبعتاشر بيقول ما ياتي ان جي أبيليان if
+
+182
+00:17:08,180 --> 00:17:16,600
+and only if السؤال السبعتاشر جي أبيليان if and
+
+183
+00:17:16,600 --> 00:17:24,880
+only if اللي هو من ال a b الكل inverse ال a b الكل
+
+184
+00:17:24,880 --> 00:17:30,940
+inverse بده ساوي ال a inverse
+
+185
+00:17:43,130 --> 00:17:48,900
+البرهان هذا بيصير في اتجاهينيبقى انا الاتجاه الاول
+
+186
+00:17:48,900 --> 00:17:55,460
+بدي اجي اقوله افرض ان ال g .. والله assume ..
+
+187
+00:17:55,460 --> 00:18:01,160
+assume that ان ال g is abelian
+
+188
+00:18:05,580 --> 00:18:10,120
+مدام ابيليان بدي اثبت ايش بدي اثبت انه a b لكل
+
+189
+00:18:10,120 --> 00:18:14,320
+inverse بدي يسوي a inverse b inverse لكن احنا
+
+190
+00:18:14,320 --> 00:18:19,860
+اثبتنا سابقا ان ال a b لكل inverse يسوي b inverse
+
+191
+00:18:19,860 --> 00:18:25,120
+a inverse يبقى هذا الكلام باجي بقوله ال a b
+
+192
+00:18:25,120 --> 00:18:32,620
+inverse بدي يسوي اللي هو b inverse a inverse مظبوط
+
+193
+00:18:33,120 --> 00:18:37,640
+لكن هو ايش قال لي جي مالها يبقى بقدر ابدل زي ما
+
+194
+00:18:37,640 --> 00:18:41,800
+انا عايزه مالوش كلام عندي يبقى هنا هذا الكلام بده
+
+195
+00:18:41,800 --> 00:18:48,580
+يساوي A inverse B inverse ليش؟ because السبب ان ال
+
+196
+00:18:48,580 --> 00:18:57,180
+G is abelian يبقى اثبتنا الاتجاه الأول بده اروح
+
+197
+00:18:57,180 --> 00:19:00,800
+الآن لمن؟ للاتجاه الثاني
+
+198
+00:19:07,570 --> 00:19:14,170
+الان بجيب اقوله conversely assume
+
+199
+00:19:14,170 --> 00:19:23,850
+افترض ان ال a b لكل inverse بدي سوى a inverse b
+
+200
+00:19:23,850 --> 00:19:32,150
+inverse بدي اثبتله ايش ليه قابله طيب بدي اقوله
+
+201
+00:19:32,150 --> 00:19:38,940
+consider خدلييعني بدي أثبت أن الـ A في B بدي أثبت
+
+202
+00:19:38,940 --> 00:19:46,280
+بي في A لكل الـ A و B اللي موجودة في G consider A
+
+203
+00:19:46,280 --> 00:19:59,180
+و B any elements أي عناصر in G طيب
+
+204
+00:19:59,180 --> 00:20:08,620
+لو أخدت الآن الـ A بي الكل inverseإيش بيساوي؟ بده
+
+205
+00:20:08,620 --> 00:20:16,640
+يساوي A inverse B inverse طيب لو روحت ضربت في
+
+206
+00:20:16,640 --> 00:20:26,880
+الطرفين من جهة الشمال في BA يعني صار BA في ال A B
+
+207
+00:20:26,880 --> 00:20:36,520
+inverse بده يساوي ال B في Aفي ال A inverse في ال B
+
+208
+00:20:36,520 --> 00:20:42,120
+inverse ضربت الطرفين من جهة الشمال في ال B إيه
+
+209
+00:20:42,120 --> 00:20:47,920
+اللي أنا لازمالي هذه بدوش أتلاعب فيها طيب هدفي هدى
+
+210
+00:20:47,920 --> 00:20:55,140
+كده بيعطينا يعني هدى B E B inverse اللي بده يسوى B
+
+211
+00:20:55,140 --> 00:21:00,520
+B inverse بده يسوى ال identity طب أنا بده أخلك في
+
+212
+00:21:00,520 --> 00:21:07,210
+المسألة A Bيبقى بإمكاني ضرب الطرفين في A B إذا
+
+213
+00:21:07,210 --> 00:21:17,090
+ضربت الطرفين في A B بصير B A في A B Inverse في A B
+
+214
+00:21:17,090 --> 00:21:24,230
+بدي ساوي ال E في ال A Bيبقى بيه اللي ايه مكتسبات
+
+215
+00:21:24,230 --> 00:21:29,170
+وطنية حفظنا عليها مالعبناش فيها هذه ايه بده اشلج
+
+216
+00:21:29,170 --> 00:21:34,490
+فيها a و b فاروح الطرفين المعادلة في ال element a
+
+217
+00:21:34,490 --> 00:21:40,590
+و b طب ايه رأيك هذا العنصر و هذا؟مش واحد معكوس
+
+218
+00:21:40,590 --> 00:21:46,810
+التاني يبقى حاصل ضربهما بال identity element يبقى
+
+219
+00:21:46,810 --> 00:21:53,510
+السعر عندي ب في a في ال identity element بدي سوى
+
+220
+00:21:53,510 --> 00:21:59,490
+ال identity element في a,b طب ال identity element
+
+221
+00:21:59,490 --> 00:22:04,330
+لما تضرب في أي element تطلع من نفس ال element يبقى
+
+222
+00:22:04,330 --> 00:22:13,590
+b في a بدي سوى a في bفي عندي قيود على ا و ب؟ اي
+
+223
+00:22:13,590 --> 00:22:17,630
+عناصر في جي يبقى بنان عليه مالها؟ جي is abelian
+
+224
+00:22:17,630 --> 00:22:24,150
+يبقى هنا سا جي is abelian
+
+225
+00:22:29,980 --> 00:22:39,120
+هذا سؤال سبعتاش سؤال سؤال سؤال تمانتاش هذا حلناه
+
+226
+00:22:39,120 --> 00:22:44,740
+في المحاضرة أخدناه كمثال طيب سؤال تسعتاش بيقولي
+
+227
+00:22:44,740 --> 00:22:51,420
+لأي element a و b من group G and any integer n
+
+228
+00:22:51,420 --> 00:22:57,390
+prove thatثم اثبت ان
+
+229
+00:22:57,390 --> 00:23:06,910
+ال a inverse b a to
+
+230
+00:23:06,910 --> 00:23:17,230
+the power n يسوى a inverse b in a و ال n هدا is an
+
+231
+00:23:17,230 --> 00:23:17,950
+integer
+
+232
+00:23:20,710 --> 00:23:26,430
+قال يثبت ان الطرفين هدول متساوين حد فيكوا حل هذا
+
+233
+00:23:26,430 --> 00:23:33,050
+السؤال؟ و لو نص حل يعني بال induction بس ال
+
+234
+00:23:33,050 --> 00:23:40,680
+induction اللي اتعلمناه على عدد صحيح موجة صح؟سكت
+
+235
+00:23:40,680 --> 00:23:45,380
+الشعور مش شكت في المبادئ أخدنا ال induction على إن
+
+236
+00:23:45,380 --> 00:23:49,900
+عدد صحيح موجه طيب نشوف بدنا نروح نستخدم ال
+
+237
+00:23:49,900 --> 00:23:53,580
+induction و نشوف هل الكلام هذا صحيح ولا لأ بس هنا
+
+238
+00:23:53,580 --> 00:23:58,110
+جالي انتجاريعني انت بدك تحسبه للموجب والسالب
+
+239
+00:23:58,110 --> 00:24:01,790
+والصفر في احد يقول كلامك صحيح لكن لو قال لي n
+
+240
+00:24:01,790 --> 00:24:06,230
+positive integer بستخدم ال induction مباشرة تبع
+
+241
+00:24:06,230 --> 00:24:11,750
+مبادئ الرياضيات وبوصل للنتيجة تمام بداجي اقول هنا
+
+242
+00:24:11,750 --> 00:24:20,690
+solution لو كانت ال n ب zero if ال n تساوي zero
+
+243
+00:24:20,690 --> 00:24:26,740
+thenالعلاقة هذه صحيحة ولا لأ تعالى نشوف اي عدد
+
+244
+00:24:26,740 --> 00:24:33,100
+مرفوع للـ O0 بكام بال identity يبقى ال E يبقى A
+
+245
+00:24:33,100 --> 00:24:41,490
+inverse ب O0 بال identity في Aمعناته ايش ان ال E
+
+246
+00:24:41,490 --> 00:24:46,950
+بده يساوي ال A inverse A يبقى ال E بده يساوي ال E
+
+247
+00:24:46,950 --> 00:24:51,290
+يبقى ال statement صحيحة يبقى باجي بقول هذا بده
+
+248
+00:24:51,290 --> 00:25:02,570
+يعطينا ان the statement hold صحيحة طيب لو كانت ال
+
+249
+00:25:02,570 --> 00:25:16,460
+N بواحد F ال N تساوي واحدthen the statement برضه
+
+250
+00:25:16,460 --> 00:25:17,580
+hold ولا لا؟
+
+251
+00:25:29,880 --> 00:25:37,560
+أفترض أنها صحيحة عند N تساوي K و أثبت صحتها عند N
+
+252
+00:25:37,560 --> 00:25:42,860
+تساوي K زائد واحد يبقى هنا ماجي بداجي أقول له
+
+253
+00:25:42,860 --> 00:25:46,880
+assume that
+
+254
+00:25:47,930 --> 00:25:55,910
+إن الـ a inverse b a to the power k بدي سوى a
+
+255
+00:25:55,910 --> 00:26:05,450
+inverse b ka و ال k أكبر من الواحد كمان و ال k
+
+256
+00:26:05,450 --> 00:26:14,470
+integer أكبر من الواحد هذا ال k integer and ال k
+
+257
+00:26:14,470 --> 00:26:19,180
+greater than oneطيب تمام
+
+258
+00:26:22,700 --> 00:26:28,420
+بدي أحاول أثبت صحة هذا الموضوع عند كزايد واحد يبقى
+
+259
+00:26:28,420 --> 00:26:35,520
+باجي بقوله consider خدلي a inverse ba to the power
+
+260
+00:26:35,520 --> 00:26:41,940
+k plus one انطلع الناتج a inverse bk plus one في a
+
+261
+00:26:41,940 --> 00:26:48,180
+بصير كلامنا معله صحيح يبقى هذا الكلام بده يساوي a
+
+262
+00:26:48,180 --> 00:26:51,500
+inverse ba في k
+
+263
+00:27:00,590 --> 00:27:11,330
+هذا الكلام انا فارضه هنا يبقى a inverseb to the
+
+264
+00:27:11,330 --> 00:27:18,790
+power of k a في من في ال a inverse ب a جبته من وين
+
+265
+00:27:18,790 --> 00:27:25,590
+from assumption من الفرض اللي انا فرضه مش جايبه من
+
+266
+00:27:25,590 --> 00:27:31,650
+كيسي انا فرضه ان هو صحيح طيب تعالوا تطلعوا لهدول
+
+267
+00:27:31,650 --> 00:27:37,920
+هدول بقداش ال a في ال a inverseبالـ identity
+
+268
+00:27:37,920 --> 00:27:45,020
+element يبقى هذا الكلام بيساوي A inverse بي كي في
+
+269
+00:27:45,020 --> 00:27:52,340
+ال E في ال بي A ال identity element اضرب في أي
+
+270
+00:27:52,340 --> 00:27:58,100
+element بيطلع نفس ال element يبقى هذا A inverse بي
+
+271
+00:27:58,100 --> 00:28:06,640
+كي في ال بي Aالـ B و الـ BK مش همارا BK plus one
+
+272
+00:28:06,640 --> 00:28:14,540
+يبقى هنا A inverse BK plus one في من؟ في الـ A
+
+273
+00:28:14,540 --> 00:28:20,260
+يبقى صارت ال statement مالها صحيحة هنا هذا بدي
+
+274
+00:28:20,260 --> 00:28:28,300
+يعطينا ال statement الجملة اللي عندنا hold ايش
+
+275
+00:28:28,300 --> 00:28:29,480
+ضايق عندنا؟
+
+276
+00:28:34,110 --> 00:28:43,270
+إذا كان الـ N أقل من Zero فأنا
+
+277
+00:28:43,270 --> 00:28:43,990
+بقدر أخليها موجب
+
+278
+00:28:47,900 --> 00:28:53,800
+يجب ان اضرب في قداش السالب يبقى السالب in بدها
+
+279
+00:28:53,800 --> 00:28:58,780
+تصير اكبر من ال zero لما تبقى ال in سالبة اضربها
+
+280
+00:28:58,780 --> 00:29:05,800
+في كمان سالبة تصير موجبة مظبوط طيب خد هنا المطلوب
+
+281
+00:29:05,800 --> 00:29:12,800
+اللي هو ال a inverse b a equal to the power nلو
+
+282
+00:29:12,800 --> 00:29:17,840
+ضربت يا شباب في الـ A inverse بـ A to the power
+
+283
+00:29:17,840 --> 00:29:24,940
+minus ال N كده بيطلع ال identity؟ لأنه بصير ال
+
+284
+00:29:24,940 --> 00:29:30,780
+element أُس Zero يبقى هذا يعطينا ال identity
+
+285
+00:29:30,780 --> 00:29:40,880
+element طيب هذا معناه إيش؟ معناه أن ال A inverseb
+
+286
+00:29:40,880 --> 00:29:48,960
+a to the power n بده يساوي a inverse b to the
+
+287
+00:29:48,960 --> 00:29:56,540
+minus n a هذا يعني هذا في هذا مش يساوي هذا في هذا
+
+288
+00:29:56,540 --> 00:30:02,720
+بده يعطينا ال identity صح هي الكلامي صح ولا غلط
+
+289
+00:30:02,720 --> 00:30:10,950
+هذا صح ليشلأن ناقص in أكبر من zero و احنا هنا لما
+
+290
+00:30:10,950 --> 00:30:14,470
+تبقى ال in أكبر من zero اثبتنا ال statement مالها
+
+291
+00:30:14,470 --> 00:30:24,910
+صحيحة يبقى this is a true because السبب ان ناقص in
+
+292
+00:30:24,910 --> 00:30:30,180
+greater than zero لأن المبرهنها هي فوقمشان هيك
+
+293
+00:30:30,180 --> 00:30:34,120
+صارت العبارة اللي عندها دي مالها صحيحة طب إيش
+
+294
+00:30:34,120 --> 00:30:39,740
+رايك؟ بدي أضرب في معكوس هذا العنصر و أشوف وين
+
+295
+00:30:39,740 --> 00:30:45,180
+بتودي الدنيا يبقى لو ضربت في معكوس هذا العنصر بصير
+
+296
+00:30:45,180 --> 00:30:52,520
+a inverse b a to the power n فاهمين؟ في ال a
+
+297
+00:30:52,520 --> 00:31:03,570
+inverse b to the minus nA كل هذا A في ال A inverse
+
+298
+00:31:03,570 --> 00:31:12,350
+B minus ال N A inverse بده يساوي طرف اليمين E في
+
+299
+00:31:12,350 --> 00:31:19,310
+main في ال A inverse B minus ال one A inverse
+
+300
+00:31:22,020 --> 00:31:27,320
+هذه المعادلة وصلت لها ضربت الطرفين في معكوس هذا
+
+301
+00:31:27,320 --> 00:31:33,020
+العنصر يبقى هي العنصر الأول هي الثاني هي معكوس
+
+302
+00:31:33,020 --> 00:31:37,360
+التاني حطيت ال inverse فوق يبقى هذا شو بده يعطيني
+
+303
+00:31:37,360 --> 00:31:42,440
+العنصر في معكسه ايش بيعطيني ال identity element في
+
+304
+00:31:42,440 --> 00:31:48,060
+اللي جابله نفس ال element يبقى الطرف الشمال بصير a
+
+305
+00:31:48,060 --> 00:31:56,900
+inverseبأ كله to the power n بده يساوي ال identity
+
+306
+00:31:56,900 --> 00:32:01,680
+element في العنصر بده يعطينا نفس العنصر يبقى هذا
+
+307
+00:32:01,680 --> 00:32:08,720
+بده يعطينا a inverse ب ب سالب n صلح ليها ب سالب ن
+
+308
+00:32:08,720 --> 00:32:17,800
+نضرب نهاية هنا يبقى a inverse ب لسالب n a كله
+
+309
+00:32:17,800 --> 00:32:18,380
+inverse
+
+310
+00:32:20,890 --> 00:32:26,990
+طيب هرجعلي هذه خدلي في الهامش لما اقول a b inverse
+
+311
+00:32:26,990 --> 00:32:33,030
+ايه يا شباب كده ايش تساوي بي انفرس ايه انفرس طب لو
+
+312
+00:32:33,030 --> 00:32:40,290
+قلت a b c inverse ايش بتساوي c inverse بي انفرس
+
+313
+00:32:40,290 --> 00:32:44,910
+ايه انفرس تمام هطبق هذا الكلام هنا يبقى هذا ايش
+
+314
+00:32:44,910 --> 00:32:54,410
+هيعطيلكهذا سيعطيك a inverse وهنا b minus ال n كله
+
+315
+00:32:54,410 --> 00:33:01,570
+inverse وهذا سيعطيك الهمين a inverse inverse
+
+316
+00:33:04,680 --> 00:33:09,940
+يبقى هذا الكلام بده يساوي هذي ال a inverse كما هي
+
+317
+00:33:09,940 --> 00:33:15,840
+و هذي الأسس تضرب في بعضها ضرب ناقص n في ناقص واحد
+
+318
+00:33:15,840 --> 00:33:22,580
+بيطلع جديش اللي هو بيوس n و a inverse inverse هي
+
+319
+00:33:22,580 --> 00:33:28,230
+ال element aيبقى صحيحة برضه في حالة السالب ولا لا
+
+320
+00:33:28,230 --> 00:33:36,330
+إذا صحيحة للكل يبقى أثبتناها لل zero و لل واحد و
+
+321
+00:33:36,330 --> 00:33:41,550
+للموجب و السالب إذا هي صحيحة ل any integer بعد ذلك
+
+322
+00:33:41,550 --> 00:33:47,210
+حد بيحب يسأل أي سؤال هناالسؤال فكرته جيدة كتير
+
+323
+00:33:47,210 --> 00:33:52,890
+الحقيقة لأن الدرجة اللى متعرف عليه اللى فيه مبادئ
+
+324
+00:33:52,890 --> 00:33:58,090
+الرياضيات نستخدم ال induction لعدد الصحيح الموجب
+
+325
+00:33:58,090 --> 00:34:03,170
+لكن استخدمنا للموجب والسالب وطلعنا نتيجة صحيحة في
+
+326
+00:34:03,170 --> 00:34:12,620
+كل حالة هذا كان سؤال تسعتاشرالان بعد تسعة عشر عنا
+
+327
+00:34:12,620 --> 00:34:17,400
+مين عنا سؤال أربعة و عشرين ب deconstruct K ليه
+
+328
+00:34:17,400 --> 00:34:22,300
+تابل لليه و اتناش كلمة K ليه تابل جديدة على ما
+
+329
+00:34:22,300 --> 00:34:26,780
+سامعنا جداش قولنا الحين السؤال اربعة و عشرين
+
+330
+00:34:26,780 --> 00:34:30,600
+بالنسبالي الهامشة السواء كان تبديل او غير تبديل
+
+331
+00:34:30,600 --> 00:34:34,260
+الصحيح بالجملة اللي هي مين اللي في الهامش و ده
+
+332
+00:34:34,260 --> 00:34:34,900
+اللي في الهامش
+
+333
+00:34:38,020 --> 00:34:45,100
+هذه non abelian group لا لو كانت abelian بدل زي ما
+
+334
+00:34:45,100 --> 00:34:49,840
+بدها بس non abelian بيبقى ترتب الأخر الثاني الأول
+
+335
+00:34:49,840 --> 00:34:54,480
+هاي الأخر الثاني الأول نقلب الوضع سباحة مقدمة مش
+
+336
+00:34:54,480 --> 00:34:56,920
+تلاتة ان شاء الله يكونوا عشرين ببدأ من ال عشرين
+
+337
+00:34:56,920 --> 00:35:02,880
+تسعة عشر تمنتاشر الاخرين نجي الآن لسؤال أربعة و
+
+338
+00:35:02,880 --> 00:35:08,980
+عشرين بدي كيلو تبل لليو اتماشريبقى هذه ال U 12
+
+339
+00:35:08,980 --> 00:35:15,340
+اللي عناصرها الواحد اتنين تلاتة اربعة خمسة ستة
+
+340
+00:35:15,340 --> 00:35:21,640
+سابعة تمانية تسعة عشر احداشر تمام؟ لما يقول ال K
+
+341
+00:35:21,640 --> 00:35:25,080
+لي ال table يعني بدي اضرب العناصر في بعض وشوف كيف
+
+342
+00:35:25,080 --> 00:35:31,520
+النتجة فباجي بقوله هذا الجدولو بعدين بحط العناصر
+
+343
+00:35:31,520 --> 00:35:38,720
+واحد خمسة سبعة احداشر و هنا واحد خمسة سبعة احداشر
+
+344
+00:35:38,720 --> 00:35:45,140
+و بعدين بجسمها الى جدول بهذا الشكل و هنا بشتغل
+
+345
+00:35:45,140 --> 00:35:50,640
+أفقي بالشكل اللي عندنا هذا و بعدين أعبي هذا الجدول
+
+346
+00:35:50,640 --> 00:36:01,380
+تمام؟ الان هنا ده كله العملية module 12الان العنصر
+
+347
+00:36:01,380 --> 00:36:04,280
+الوحيد اللى مانتظره في أي عنصر بيطلع نفس العنصر
+
+348
+00:36:12,890 --> 00:36:16,810
+كيف هذه؟ واحد في واحد بواحد، واحد في خمسة بخمسة،
+
+349
+00:36:16,810 --> 00:36:19,910
+واحد في سبعة بسبعة، واحد في أحداشر بأحداشر،
+
+350
+00:36:19,910 --> 00:36:23,990
+الانبعاد ده رأسي، واحد في واحد بواحد، واحد في خمسة
+
+351
+00:36:23,990 --> 00:36:27,690
+بخمسة، واحد في سبعة بسبعة، واحد في أحداشر بأحداشر،
+
+352
+00:36:27,690 --> 00:36:31,350
+طبعا هذه ال group ابداليه وبالتالي يمين ومول وشمال
+
+353
+00:36:31,350 --> 00:36:35,150
+ماتفرقش عننا، بعدين تجيب العناصر هنا، هذا من؟ هو
+
+354
+00:36:35,150 --> 00:36:41,210
+عبارة عن خمسة في خمسة، خمسة في خمسة، خمسة وعشرين،
+
+355
+00:36:41,210 --> 00:36:48,370
+تمام؟موديولو اتناش اه اللي هو واحد تمام؟ الان خمسة
+
+356
+00:36:48,370 --> 00:36:54,150
+في سبعة بخمسة و تلاتين موديولو اتناش اللي هو
+
+357
+00:36:54,150 --> 00:37:00,210
+الاحداش الان خمسة في احداش بخمسة و خمسين موديولو
+
+358
+00:37:00,210 --> 00:37:05,750
+احداش اللي هو كده؟ سبعة بالشكل اللي انا اناممنوع
+
+359
+00:37:05,750 --> 00:37:10,710
+الرقم يتكرر مرتين في نفس الصفر يعني الخط هذا و
+
+360
+00:37:10,710 --> 00:37:15,690
+الخط التاني اللي جوا هذا ممنوع يتكرر الرقم إلا مرة
+
+361
+00:37:15,690 --> 00:37:19,850
+واحدة امسك خمسة واحد احداجر سبعة هما العناصر من
+
+362
+00:37:19,850 --> 00:37:24,530
+اللي فوق و هكذا الآن سبعة في واحدة سبعة سبعة في
+
+363
+00:37:24,530 --> 00:37:31,350
+خمسة خمسة و تلاتين خمسة و تلاتين بصير عند إيش اللي
+
+364
+00:37:31,350 --> 00:37:34,980
+هو احداشراللي بعده سبعة في سبعة بتسعة واربعين
+
+365
+00:37:34,980 --> 00:37:37,880
+اربعة في اتناشر تسعة واربعين ويبقى له واحد الان
+
+366
+00:37:37,880 --> 00:37:42,660
+واني مغمط بقدر احط الرقم بدون محسب الرقم اللي ضايل
+
+367
+00:37:42,660 --> 00:37:47,160
+طبعا الان لو جيت احداش وحدة احداش في خمسة خمسة
+
+368
+00:37:47,160 --> 00:37:53,100
+وخمسين اللي هو السبعة احداش في سبعة بسبعة وسبعين
+
+369
+00:37:53,100 --> 00:37:59,780
+سبعة وسبعين يعني كده ايش بيطلع ستة اربعة بيطلع
+
+370
+00:37:59,780 --> 00:38:06,160
+واحد من هدول يا راجليبقى خمسة ضل الغايب اللى هو
+
+371
+00:38:06,160 --> 00:38:09,520
+العنصر اللى هو الواحد تمام يبقى هيك بنشتغل بالجدول
+
+372
+00:38:09,520 --> 00:38:14,000
+الكلام اللى سمعته بده أطبقه على السؤال اللى بعده
+
+373
+00:38:14,000 --> 00:38:18,680
+ونشوف هذا سهل علشانها أرقام سهلة يعني سهل الشغل
+
+374
+00:38:18,680 --> 00:38:25,300
+فيها تماما الان في عندك ال table جاهزة بس بالرموز
+
+375
+00:38:25,300 --> 00:38:28,860
+بده أشوف كيف تعبولي هذه الرموز
+
+376
+00:38:41,310 --> 00:38:47,930
+الان سؤال خمسة و عشرين برضه جدول الشكل اللي عندنا
+
+377
+00:38:47,930 --> 00:39:00,390
+هنا الجدول ميعطيني E و A B C D E و A B C D تمام و
+
+378
+00:39:00,390 --> 00:39:06,730
+قسمها بالشكل اللي عندنا هذا وهيقفلنا الجدول و هنا
+
+379
+00:39:06,730 --> 00:39:21,050
+E و هنا Aو هنا B و هنا C و هنا D و راح أبالي في
+
+380
+00:39:21,050 --> 00:39:30,110
+الجدول حطلي هنا E و تاني حطلي هنا Bجبال A حطلي B
+
+381
+00:39:30,110 --> 00:39:44,370
+وعند ال B حط C D E C D E C D E و جبال SC حطلي D و
+
+382
+00:39:44,370 --> 00:39:52,350
+بعد C حطلي D و بعدين A بيه A و هنا بيه و اللي بعده
+
+383
+00:39:52,350 --> 00:39:55,730
+فرق كله كيف؟
+
+384
+00:39:57,720 --> 00:40:05,680
+في ايه؟ اه الأخير ايه؟ هنا ايه؟ تمام والباقي كله
+
+385
+00:40:05,680 --> 00:40:09,840
+تمام يبقى هاي الجدول اللي عندك وقال يعبي هالفرار
+
+386
+00:40:09,840 --> 00:40:15,840
+هذا من خلال هالاشكال اللي عندك تمام؟مشان انميز من
+
+387
+00:40:15,840 --> 00:40:20,570
+بين الاتنين انا حاب الفرار بلون تانيالان هذا ال
+
+388
+00:40:20,570 --> 00:40:24,170
+identity لو ضربت في اي element بدي يطلع نفس ال
+
+389
+00:40:24,170 --> 00:40:31,810
+element يبقى هنا a,b,c,d بنفس الطريقة هنا a,b,c,d
+
+390
+00:40:31,810 --> 00:40:36,650
+يبقى ضايق لأن بعض الفرقات هنا اتنين تلاتة اربعة
+
+391
+00:40:36,650 --> 00:40:41,650
+وصف الأخير اذا عبيت واحد اتنين تلاتة اربعة وصف
+
+392
+00:40:41,650 --> 00:40:46,770
+الأخير تحصيل حصل العنصر اللي غايب هو العنصر تمام
+
+393
+00:40:46,770 --> 00:40:59,300
+كيف؟صفة تالت هذا يعني؟ بدي واحد يحكي بس ايوة ايوه
+
+394
+00:40:59,300 --> 00:41:05,540
+هان ماله؟ بدي ايه؟ احط بيه؟ ايه؟ بيه؟ مقبض هنا
+
+395
+00:41:05,540 --> 00:41:13,160
+ايه؟ هاي عبناله يعني صار العمود هذا جاهز ثانى شوية
+
+396
+00:41:13,160 --> 00:41:19,760
+عندك اين دي؟ دي دول هنا جداش؟ Cالعمود التالت عمود
+
+397
+00:41:19,760 --> 00:41:25,820
+التالت هذا إيه؟ إيه تمام ميري مية المية بقى برضه
+
+398
+00:41:25,820 --> 00:41:34,040
+المشكلة قاعدة هذا هذا لا إيه موجودة هذا إيه تمام
+
+399
+00:41:34,040 --> 00:41:39,380
+ضايل إيش عندنا ضايل هنا في عنصرين و هنا في عنصرين
+
+400
+00:41:39,380 --> 00:41:45,360
+هنا في اتنين و هنا في اتنين مشكلة مش
+
+401
+00:41:45,360 --> 00:41:46,060
+هتكره بس
+
+402
+00:41:50,390 --> 00:41:57,910
+طيب إذا حلنا واحد بتبقى انحلت قضيتنا، كيف؟ ده قطر
+
+403
+00:41:57,910 --> 00:42:02,510
+مافيش حد، ده قطر، ضرب، وفق برأسي، مالك أنت؟في حد
+
+404
+00:42:02,510 --> 00:42:11,750
+عنده اقتراح؟ ايوة في
+
+405
+00:42:11,750 --> 00:42:16,550
+عندي هي اتنين و هنا اتنين وجيت اخوك بهنا اتنين و
+
+406
+00:42:16,550 --> 00:42:21,350
+هنا اتنين هنا؟
+
+407
+00:42:21,350 --> 00:42:27,470
+ايش هحط؟ دي طب
+
+408
+00:42:27,470 --> 00:42:31,100
+كيف هتحطها؟ كيف؟أستاذ استاذ استاذ استاذ استاذ
+
+409
+00:42:31,100 --> 00:42:34,280
+استاذ استاذ استاذ استاذ استاذ استاذ استاذ استاذ
+
+410
+00:42:34,280 --> 00:42:37,120
+استاذ استاذ استاذ استاذ استاذ استذ استذ استذ استذ
+
+411
+00:42:37,120 --> 00:42:41,440
+استذ استذ استذ استذ استذ استذ استذ استذ استذ استذ
+
+412
+00:42:41,440 --> 00:42:41,720
+استذ استذ استذ استذ استذ استذ استذ استذ استذ استذ
+
+413
+00:42:41,720 --> 00:42:41,720
+استذ استذ استذ استذ استذ استذ استذ استذ استذ استذ
+
+414
+00:42:41,720 --> 00:42:42,660
+استذ استذ استذ استذ استذ استذ استذ استذ استذ استذ
+
+415
+00:42:42,660 --> 00:42:42,660
+استذ استذ استذ استذ استذ استذ استذ استذ استذ استذ
+
+416
+00:42:42,660 --> 00:42:43,140
+استذ استذ استذ استذ استذ استذ استذ استذ استذ استذ
+
+417
+00:42:43,140 --> 00:42:43,140
+استذ استذ استذ استذ استذ استذ استذ استذ استذ استذ
+
+418
+00:42:43,140 --> 00:42:43,140
+استذ استذ استذ استذ استذ استذ استذ استذ استذ استذ
+
+419
+00:42:43,140 --> 00:42:58,540
+استذ استذ استذ استذ استذ استذ استذ استذ استذ است
+
+420
+00:42:58,920 --> 00:43:08,560
+ب في إيه؟ ليش هي إبدالية؟ ماقلليش إبدالية؟ رأس
+
+421
+00:43:08,560 --> 00:43:13,080
+نقطة، رأس رمز،
+
+422
+00:43:13,080 --> 00:43:16,280
+رأس في العمون فيه ب، في الأخر مافيش ب
+
+423
+00:43:21,670 --> 00:43:32,290
+هنا؟ في هنا في element هنا في واحد هنا يا
+
+424
+00:43:32,290 --> 00:43:38,970
+الله مافيه اتنين فيه رمزين هنا برضه طب شوف شغلها
+
+425
+00:43:38,970 --> 00:43:44,170
+العفرة شوف شغلها العفرة يا رياضيل ايه وقول و ارينا
+
+426
+00:43:44,170 --> 00:43:44,470
+شوف
+
+427
+00:43:48,580 --> 00:43:51,900
+لازم يطلع فيه C لأنه لازم يكون في السطر اللي هي C
+
+428
+00:43:51,900 --> 00:43:57,120
+إيه إنه C قصدك؟ لأ غاد هذا C؟ لازم يطلع فيه C طيب
+
+429
+00:43:57,120 --> 00:44:00,380
+فمش ممكن يطلع فيه .. ليش يطلع فيه C؟ منفعش يطلع
+
+430
+00:44:00,380 --> 00:44:05,120
+لهذه سطر، نفهم منه، نفهم منها، منفعش يطلع في
+
+431
+00:44:05,120 --> 00:44:08,680
+الجنبه لإنه فيه في جهة C عشان يكون وفقه و منفعش
+
+432
+00:44:08,680 --> 00:44:11,180
+يطلع في اللي تحت عشان فيه غاد C فبقى الشركة اللي
+
+433
+00:44:11,180 --> 00:44:17,540
+مدتش تغير رياضيمظبوط يا حزيزي ايش رأيك لو جيه تقول
+
+434
+00:44:17,540 --> 00:44:27,800
+لك a في a قد ايش بده يساوي a في a ب b تمام طيب و b
+
+435
+00:44:27,800 --> 00:44:39,760
+في b b في b ب d طب لو قوللك c في c c في c ب a
+
+436
+00:44:39,760 --> 00:44:41,960
+مظبوط
+
+437
+00:44:43,310 --> 00:44:50,990
+طيب ايش رأيك لو جيت اخد ايه في بي ايه في بي يعني
+
+438
+00:44:50,990 --> 00:44:55,750
+اللي يعني مديها ده عارفة كدهش طيب بلغتنا هنا ايه
+
+439
+00:44:55,750 --> 00:45:04,110
+في بي بدي ساوي c في c في a في a مظبوط؟
+
+440
+00:45:04,420 --> 00:45:11,220
+هذا A في B يبقى C C A A تمام هذا الكلام بده يساوي
+
+441
+00:45:11,220 --> 00:45:23,300
+C C في A يبقى C في A ايش بتطلع D يبقى C D A تمام
+
+442
+00:45:23,300 --> 00:45:31,740
+طب لو جيت الان D في A ايش بيطلع عندي E يبقى C E
+
+443
+00:45:31,740 --> 00:45:38,890
+يبقى ب Cماشي يبقى الحين صارت هذه C وبالتالي هذه
+
+444
+00:45:38,890 --> 00:45:46,170
+ايش صارت D وبالتالي انحلت كل المشاكل صار C D E A
+
+445
+00:45:46,170 --> 00:45:54,170
+يبقى هنا B وB C D A يبقى هنا A شغل رياضي سليم ولا
+
+446
+00:45:54,170 --> 00:45:58,150
+واحد بيقدر يقولك فيه اي شغل اي شغل رياضي مظبوط من
+
+447
+00:45:58,150 --> 00:46:02,770
+خلال الجدوليبقى انت بدك تروح تعبي اللي عندك من
+
+448
+00:46:02,770 --> 00:46:09,110
+خلال المياه من خلال الجدول طيب السؤال اللي بعد هو
+
+449
+00:46:09,110 --> 00:46:15,590
+سؤال ستة وعشرين سؤال ستة وعشرين بيقول ما يأتي
+
+450
+00:46:15,590 --> 00:46:24,990
+prove that اذا كان if ال a b لكل تربيع يساوي a
+
+451
+00:46:24,990 --> 00:46:32,840
+تربيع b تربيع thenالـ A في B بده يساوي مين؟ بده
+
+452
+00:46:32,840 --> 00:46:38,900
+يساوي الـ B في A طبعا بدي أثبت أن الـ A في B بده
+
+453
+00:46:38,900 --> 00:46:44,060
+يساوي الـ B في A القصة
+
+454
+00:46:44,060 --> 00:46:49,160
+بسيطة جدا، ماقالليش جي أبيليان، لو قاللي جي
+
+455
+00:46:49,160 --> 00:46:52,160
+أبيليان كان قضيتي محلولة، ماقاللي جي أبيليان، لكن
+
+456
+00:46:52,160 --> 00:46:59,080
+أنا عندي consider خُدلي A بي لكل تربيع اللي هو بدأ
+
+457
+00:46:59,080 --> 00:47:07,550
+فيهاما ده مش ab يعني يبقى a في b في a في b صح ولا
+
+458
+00:47:07,550 --> 00:47:15,190
+لا طيب هذه تساوي من المعطيات a تربية b تربية شوف
+
+459
+00:47:15,190 --> 00:47:20,490
+القانون الشطب الأي ملي بي وقانون الشطب الأي صارلي
+
+460
+00:47:20,490 --> 00:47:26,490
+a يبقى هذا ايش بدي اعطيلك يعني ا بمعنى اخرلو ضربت
+
+461
+00:47:26,490 --> 00:47:30,970
+هذه المعادلة من جهة الشمال في a inverse وضربت من
+
+462
+00:47:30,970 --> 00:47:36,090
+جهة اليمين في b inverse او ال left cancellation
+
+463
+00:47:36,090 --> 00:47:39,970
+law و ال right cancellation law يبقى هذا الخط
+
+464
+00:47:39,970 --> 00:47:46,630
+عضطيني بي اي بيزي ساوة من a في b لما اضرب هنا في a
+
+465
+00:47:46,630 --> 00:47:51,010
+inverse بطير هذه و بطير واحد من التربية فهيظل هنا
+
+466
+00:47:51,010 --> 00:47:58,550
+عندي قداش aبتظهر بي انفرست بيظهر بي انفرست بيظهر
+
+467
+00:47:58,550 --> 00:48:04,190
+بي انفرست
+
+468
+00:48:04,190 --> 00:48:06,730
+بيظهر بيظهر بيظهر بيظهر بيظهر بيظهر بيظهر بيظهر
+
+469
+00:48:06,730 --> 00:48:07,870
+بيظهر بيظهر بيظهر بيظهر بيظهر بيظهر بيظهر بيظهر
+
+470
+00:48:07,870 --> 00:48:07,870
+بيظهر بيظهر بيظهر بيظهر بيظهر بيظهر بيظهر بيظهر
+
+471
+00:48:07,870 --> 00:48:07,870
+بيظهر بيظهر بيظهر بيظهر بيظهر بيظهر بيظهر بيظهر
+
+472
+00:48:07,870 --> 00:48:13,810
+بيظهر بيظهر بيظهر بيظهر بيظهر بيظهر
+
+473
+00:48:13,810 --> 00:48:20,110
+ب
+
+474
+00:48:22,250 --> 00:48:29,750
+تلاتة وتلاتين اذا كان ال a xb تلاتة وتنقل a xb
+
+475
+00:48:29,750 --> 00:48:37,570
+يسوى ال c xd يسوى ال c xd هذا يتطلب ان ال a b بده
+
+476
+00:48:37,570 --> 00:48:43,610
+يسوى ال c d عند الخاصية هذه بقول تحت ال proof that
+
+477
+00:48:43,610 --> 00:48:49,530
+ال g is abelian اثبت ان ال g هذه is abelian
+
+478
+00:48:54,000 --> 00:49:01,600
+شو بييللي انه جى قابيليا بيتلي
+
+479
+00:49:01,600 --> 00:49:08,400
+انه جى قابيليا بقوله ال proof الان
+
+480
+00:49:08,400 --> 00:49:18,000
+انا لو جيت علمين مثلامعطبة معنا العلاقة لأنها AXB
+
+481
+00:49:18,000 --> 00:49:23,700
+بيبقى CXD بيقول لو حصل هذا الكلام عندك اذا
+
+482
+00:49:23,700 --> 00:49:28,920
+automatic كأنه بدي اشطب X من هنا و اشطب X هنا من
+
+483
+00:49:28,920 --> 00:49:33,380
+المصر طبعا رياضيا لأ بس انا بقول كأنه رياضيا لأ
+
+484
+00:49:33,730 --> 00:49:38,110
+يبقى هنا كإنه a بيبدوا يساوي main CD يعني إذا
+
+485
+00:49:38,110 --> 00:49:45,750
+أعطيت هذه ف a بيبدوا يساوي ال CD الآن أنا بدي
+
+486
+00:49:45,750 --> 00:49:49,650
+أحاول أثبت أنه g a b لإن يعني بدي أثبت أن ال a في
+
+487
+00:49:49,650 --> 00:49:54,410
+b بيبدوا يساوي b في a لكل ال a و ال b اللي موجودة
+
+488
+00:49:54,410 --> 00:50:00,250
+وين في g طب الآن لو جيت العنصر b مش هو b ولا لأ
+
+489
+00:50:03,250 --> 00:50:12,990
+صح؟ طب إيش رايك لو جيت قلتلك ال a a inverse b هل
+
+490
+00:50:12,990 --> 00:50:21,130
+يساوي ال b في ال a inverse a ولا لا؟ لأن هذا ال
+
+491
+00:50:21,130 --> 00:50:27,110
+identity وهذا ال identity، مظبوط؟ طب اتطلع العنصر
+
+492
+00:50:27,110 --> 00:50:33,110
+اللي في المص هناوالعنصر اللى فى النص ده هو نفسه
+
+493
+00:50:33,110 --> 00:50:37,950
+وحاصل ضرب تلت عناصر زى ما انت شايف بيساووا بعض
+
+494
+00:50:37,950 --> 00:50:43,210
+يبقى بال assumption ايش بدي يطلع a فى b بدى يساوي
+
+495
+00:50:43,210 --> 00:50:51,610
+b فى a يبقى g is abelian يبقى هنا from assumption
+
+496
+00:50:51,610 --> 00:50:54,790
+we
+
+497
+00:50:54,790 --> 00:51:02,250
+haveإن ال A بيبدي سوى ال B إيه هذا بدي أعطينا إن
+
+498
+00:51:02,250 --> 00:51:09,530
+ال G is abelian يعني أنا تحت هذه الخاصية قدرت أحكم
+
+499
+00:51:09,530 --> 00:51:13,910
+على G is abelian لو الخاصية هذه مش عندي لأ يمكن
+
+500
+00:51:13,910 --> 00:51:20,510
+أقدر أثبت أو أبين إن ال G هذه عبارة عن abelian
+
+501
+00:51:20,510 --> 00:51:21,330
+group
+
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/ADO1lqCgDBA_raw.json b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/ADO1lqCgDBA_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..50eb134b205c4ff439913cd144dd8aa3928d8ecf
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/ADO1lqCgDBA_raw.json
@@ -0,0 +1 @@
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نثبت", "probability": 0.94775390625}, {"start": 623.31, "end": 623.57, "word": " هنا", "probability": 0.890625}, {"start": 623.57, "end": 624.05, "word": " T", "probability": 0.61328125}, {"start": 624.05, "end": 625.23, "word": " is", "probability": 0.94873046875}, {"start": 625.23, "end": 625.87, "word": " unto", "probability": 0.5048828125}], "temperature": 1.0}, {"id": 27, "seek": 64102, "start": 627.34, "end": 641.02, "text": "يبقى بدي أروح أخد element ههه اللي هو في جي موجود في ال inner atomorphism إلى جي then الفي of جي هذا", "tokens": [1829, 3555, 4587, 7578, 4724, 16254, 5551, 32887, 5016, 5551, 9778, 3215, 4478, 8032, 3224, 3224, 13672, 1829, 31439, 8978, 10874, 1829, 3714, 29245, 23328, 8978, 2423, 7284, 412, 32702, 1434, 30731, 10874, 1829, 550, 27188, 1829, 295, 10874, 1829, 23758], "avg_logprob": -0.4981398568266914, "compression_ratio": 1.271186440677966, "no_speech_prob": 0.0, "words": [{"start": 627.34, "end": 627.76, "word": "يبقى", "probability": 0.6871337890625}, 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left coset و هذه left coset تانية حسب ما أخدنا التعريف يبقى هذا بيصير GH ل Z of G left coset جديدة حسب تعريف الـ T هذه بيصير Phi GH", "tokens": [3224, 15730, 2423, 28820, 10943, 7251, 3794, 995, 45865, 314, 295, 29538, 1411, 3792, 302, 4032, 29538, 1411, 3792, 302, 6055, 7649, 10632, 11331, 35457, 19446, 5551, 9778, 3215, 8315, 16712, 3615, 16572, 5172, 7251, 3555, 4587, 7578, 23758, 4724, 1829, 9381, 13546, 40690, 5296, 1176, 295, 460, 1411, 3792, 302, 10874, 16254, 41891, 11331, 35457, 37279, 16572, 5172, 2423, 39184, 314, 29538, 4724, 1829, 9381, 13546, 41435, 40690], "avg_logprob": -0.23258928166968482, "compression_ratio": 1.5290322580645161, "no_speech_prob": 0.0, "words": [{"start": 678.73, "end": 679.13, "word": "هذا", "probability": 0.92333984375}, {"start": 679.13, "end": 679.69, "word": " الكلام", "probability": 0.91162109375}, {"start": 679.69, "end": 680.35, "word": " يساوي", "probability": 0.71746826171875}, {"start": 680.35, "end": 680.85, "word": " T", "probability": 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النظرية", "probability": 0.9747314453125}], "temperature": 1.0}, {"id": 36, "seek": 83881, "start": 813.19, "end": 838.81, "text": "في نظرية هذا اسمها نظرية كيلي برضه لل abelian groups يبقى هنا theorem لكلس theorem كلس theorem for abelian groups", "tokens": [41185, 8717, 19913, 2288, 10632, 23758, 24525, 2304, 11296, 8717, 19913, 2288, 10632, 9122, 26895, 1829, 4724, 43042, 3224, 24976, 410, 338, 952, 3935, 7251, 3555, 4587, 7578, 34105, 20904, 5296, 28820, 3794, 20904, 28242, 3794, 20904, 337, 410, 338, 952, 3935], "avg_logprob": -0.3261264465575994, "compression_ratio": 1.4017857142857142, "no_speech_prob": 0.0, "words": [{"start": 813.19, "end": 813.45, "word": "في", "probability": 0.55224609375}, {"start": 813.45, "end": 814.05, "word": " نظرية", "probability": 0.9708251953125}, {"start": 814.05, "end": 814.33, "word": " هذا", "probability": 0.25048828125}, {"start": 814.33, "end": 814.89, "word": " اسمها", "probability": 0.7679850260416666}, {"start": 814.89, "end": 815.71, "word": " نظرية", "probability": 0.979248046875}, {"start": 815.71, "end": 816.31, "word": " كيلي", "probability": 0.5052897135416666}, {"start": 816.31, "end": 816.71, "word": " برضه", "probability": 0.7248942057291666}, {"start": 816.71, "end": 816.95, "word": " لل", "probability": 0.6064453125}, {"start": 816.95, "end": 817.61, "word": " abelian", "probability": 0.6880696614583334}, {"start": 817.61, "end": 818.37, "word": " groups", "probability": 0.8837890625}, {"start": 818.37, "end": 819.61, "word": " يبقى", "probability": 0.9639892578125}, {"start": 819.61, "end": 820.01, "word": " هنا", "probability": 0.96533203125}, {"start": 820.01, "end": 821.01, "word": " theorem", "probability": 0.75341796875}, {"start": 821.01, "end": 824.19, "word": " لكلس", "probability": 0.4522298177083333}, {"start": 824.19, "end": 825.01, "word": " theorem", "probability": 0.82958984375}, {"start": 825.01, "end": 831.95, "word": " كلس", "probability": 0.7105712890625}, {"start": 831.95, "end": 832.57, "word": " theorem", "probability": 0.91845703125}, {"start": 832.57, "end": 834.07, "word": " for", "probability": 0.9423828125}, {"start": 834.07, "end": 836.33, "word": " abelian", "probability": 0.9482421875}, {"start": 836.33, "end": 838.81, "word": " groups", "probability": 0.91796875}], "temperature": 1.0}, {"id": 37, "seek": 86194, "start": 841.88, "end": 861.94, "text": "بتقول ما يتلت الـ G بيه finite بيه finite abelian group finite abelian group", "tokens": [3555, 2655, 39648, 19446, 7251, 2655, 1211, 2655, 2423, 39184, 460, 4724, 1829, 3224, 19362, 4724, 1829, 3224, 19362, 410, 338, 952, 1594, 19362, 410, 338, 952, 1594], "avg_logprob": -0.40032328819406443, "compression_ratio": 1.3150684931506849, "no_speech_prob": 0.0, "words": [{"start": 841.88, "end": 842.6, "word": "بتقول", "probability": 0.7803548177083334}, {"start": 842.6, "end": 842.94, "word": " ما", "probability": 0.70556640625}, {"start": 842.94, "end": 844.1, "word": " يتلت", "probability": 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"text": "و .. دع ال P بيه قطع بيه قطع بيه قطع بيه قطع بيه قطع بيه قطع بيه قطع بيه قطع بيه قطع بيه قطع بيه قطع بيه قطع بيه قطع بيه قطع بيه قطع بيه قطع بيه قطع بيه قطع بيه قطع بيه قطع بيه قطع بيه قطع بيه قطع بيه قطع بيه قطع بيه قطع بيه قطع بيه قطع بيه قطع بيه قطع بيه قطع بيه قطع بيه قطع بيه قطع بيه قطع بيه قطع بي", "tokens": [2407, 4386, 11778, 3615, 2423, 430, 4724, 1829, 3224, 12174, 9566, 3615, 4724, 1829, 3224, 12174, 9566, 3615, 4724, 1829, 3224, 12174, 9566, 3615, 4724, 1829, 3224, 12174, 9566, 3615, 4724, 1829, 3224, 12174, 9566, 3615, 4724, 1829, 3224, 12174, 9566, 3615, 4724, 1829, 3224, 12174, 9566, 3615, 4724, 1829, 3224, 12174, 9566, 3615, 4724, 1829, 3224, 12174, 9566, 3615, 4724, 1829, 3224, 12174, 9566, 3615, 4724, 1829, 3224, 12174, 9566, 3615, 4724, 1829, 3224, 12174, 9566, 3615, 4724, 1829, 3224, 12174, 9566, 3615, 4724, 1829, 3224, 12174, 9566, 3615, 4724, 1829, 3224, 12174, 9566, 3615, 4724, 1829, 3224, 12174, 9566, 3615, 4724, 1829, 3224, 12174, 9566, 3615, 4724, 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92608, "start": 915.18, "end": 926.08, "text": "Page صفحات الـ 187 و188", "tokens": [47, 609, 20328, 5172, 5016, 9307, 2423, 39184, 2443, 22, 4032, 6494, 23], "avg_logprob": -0.5937499957425254, "compression_ratio": 0.7804878048780488, "no_speech_prob": 0.0, "words": [{"start": 915.18, "end": 916.0, "word": "Page", "probability": 0.37591552734375}, {"start": 916.0, "end": 918.32, "word": " صفحات", "probability": 0.83447265625}, {"start": 918.32, "end": 919.36, "word": " الـ", "probability": 0.3172607421875}, {"start": 919.36, "end": 921.36, "word": " 187", "probability": 0.7626953125}, {"start": 921.36, "end": 926.08, "word": " و188", "probability": 0.7074381510416666}], "temperature": 1.0}, {"id": 41, "seek": 97800, "start": 953.82, "end": 978.0, "text": "فينا تعريف جديد وهذا التعريف مهم شوية لما بعده definition suppose that افترض ان ال h and ال k", "tokens": [41185, 8315, 37279, 16572, 5172, 10874, 16254, 3215, 37037, 15730, 16712, 3615, 16572, 5172, 3714, 16095, 13412, 2407, 10632, 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{"start": 1323.99, "end": 1324.47, "word": " بين", "probability": 0.49658203125}, {"start": 1324.47, "end": 1324.83, "word": " الـH", "probability": 0.6209309895833334}, {"start": 1324.83, "end": 1325.01, "word": " و", "probability": 0.876953125}, {"start": 1325.01, "end": 1325.27, "word": " الـK", "probability": 0.6333821614583334}, {"start": 1325.27, "end": 1325.45, "word": " بده", "probability": 0.4180908203125}, {"start": 1325.45, "end": 1325.65, "word": " يكون", "probability": 0.958251953125}, {"start": 1325.65, "end": 1326.37, "word": " باسمين", "probability": 0.9578857421875}], "temperature": 1.0}, {"id": 55, "seek": 133322, "start": 1328.22, "end": 1333.22, "text": "identity موجود في اي subgroup من ال group الأصلي", "tokens": [1078, 507, 3714, 29245, 23328, 8978, 1975, 1829, 1422, 17377, 9154, 2423, 1594, 16247, 9381, 20292], "avg_logprob": -0.5951286764705882, "compression_ratio": 1.0634920634920635, "no_speech_prob": 1.6093254089355469e-06, "words": [{"start": 1328.22, "end": 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هي", "probability": 0.84375}, {"start": 1364.53, "end": 1365.05, "word": " H", "probability": 0.57080078125}, {"start": 1365.05, "end": 1365.29, "word": " في", "probability": 0.87548828125}, {"start": 1365.29, "end": 1365.93, "word": " الأول", "probability": 0.97900390625}, {"start": 1365.93, "end": 1366.85, "word": " طبعا", "probability": 0.9150390625}, {"start": 1366.85, "end": 1367.01, "word": " ال", "probability": 0.97265625}, {"start": 1367.01, "end": 1367.67, "word": " identity", "probability": 0.81005859375}, {"start": 1367.67, "end": 1368.59, "word": " element", "probability": 0.94287109375}, {"start": 1368.59, "end": 1369.67, "word": " وهذا", "probability": 0.72021484375}, {"start": 1369.67, "end": 1369.83, "word": " اللي", "probability": 0.876220703125}, {"start": 1369.83, "end": 1370.03, "word": " هو", "probability": 0.97119140625}, {"start": 1370.03, "end": 1370.43, "word": " واحد", "probability": 0.822265625}, {"start": 1370.43, "end": 1371.05, "word": " اتنين", 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كل اتنين بدي اضرب التلاتة مرة واحدة يبقى بدي ابدأ من بالواحد الواحد صورته تلاتة و التلاتة صورتها تلاتة و التلاتة صورتها واحد يبقى مع السلامة ال identity", "tokens": [3555, 16254, 1975, 11242, 25513, 11778, 17082, 16572, 37893, 28242, 1975, 2655, 1863, 9957, 4724, 16254, 1975, 11242, 25513, 16712, 1211, 9307, 3660, 3714, 25720, 36764, 24401, 3660, 7251, 3555, 4587, 7578, 4724, 16254, 1975, 44510, 10721, 9154, 20666, 14407, 24401, 2423, 14407, 24401, 20328, 13063, 47395, 6055, 1211, 9307, 3660, 4032, 16712, 1211, 9307, 3660, 20328, 13063, 2655, 11296, 6055, 1211, 9307, 3660, 4032, 16712, 1211, 9307, 3660, 20328, 13063, 2655, 11296, 36764, 24401, 7251, 3555, 4587, 7578, 20449, 21136, 37440, 3660, 2423, 6575], "avg_logprob": -0.18277615741934888, "compression_ratio": 2.1056338028169015, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1704.66, "end": 1705.12, "word": "بدي", "probability": 0.211822509765625}, {"start": 1705.12, "end": 1705.58, "word": " اضرب", "probability": 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قداش", "probability": 0.8128255208333334}, {"start": 1740.03, "end": 1740.87, "word": " اتنين", "probability": 0.8436279296875}, {"start": 1740.87, "end": 1741.93, "word": " تلاتة", "probability": 0.9578857421875}, {"start": 1741.93, "end": 1742.51, "word": " هل", "probability": 0.90625}, {"start": 1742.51, "end": 1742.97, "word": " هذا", "probability": 0.96630859375}, {"start": 1742.97, "end": 1743.69, "word": " موجود", "probability": 0.9884440104166666}, {"start": 1743.69, "end": 1743.97, "word": " في", "probability": 0.9443359375}, {"start": 1743.97, "end": 1744.23, "word": " ك", "probability": 0.57421875}], "temperature": 1.0}, {"id": 73, "seek": 176452, "start": 1744.64, "end": 1764.52, "text": "طبعاً مش موجود في K يبقى لا يمكن تبقى هذه normal في subgroup من G يبقى هنا so ال K هذه is not normal subgroup من S3 هذا معناه ان ال G او ال S3", "tokens": [9566, 3555, 3615, 995, 14111, 37893, 3714, 29245, 23328, 8978, 591, 7251, 3555, 4587, 7578, 20193, 7251, 43020, 6055, 3555, 4587, 7578, 29538, 2710, 8978, 1422, 17377, 9154, 460, 7251, 3555, 4587, 7578, 34105, 370, 2423, 591, 29538, 307, 406, 2710, 1422, 17377, 9154, 318, 18, 23758, 20449, 8315, 3224, 16472, 2423, 460, 1975, 2407, 2423, 318, 18], "avg_logprob": -0.27913134178872834, "compression_ratio": 1.4375, "no_speech_prob": 0.0, "words": [{"start": 1744.64, "end": 1745.36, "word": "طبعاً", "probability": 0.6724853515625}, {"start": 1745.36, "end": 1745.56, "word": " مش", "probability": 0.284912109375}, {"start": 1745.56, "end": 1746.08, "word": " موجود", "probability": 0.9873046875}, {"start": 1746.08, "end": 1746.28, "word": " في", "probability": 0.92236328125}, {"start": 1746.28, "end": 1746.7, "word": " K", "probability": 0.387939453125}, {"start": 1746.7, "end": 1747.54, "word": " يبقى", "probability": 0.8814697265625}, {"start": 1747.54, "end": 1747.64, "word": " لا", "probability": 0.5576171875}, {"start": 1747.64, "end": 1748.14, "word": " يمكن", "probability": 0.86376953125}, {"start": 1748.14, 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هذه", "probability": 0.77001953125}, {"start": 1755.32, "end": 1755.98, "word": " is", "probability": 0.86865234375}, {"start": 1755.98, "end": 1756.48, "word": " not", "probability": 0.96826171875}, {"start": 1756.48, "end": 1757.26, "word": " normal", "probability": 0.86572265625}, {"start": 1757.26, "end": 1758.14, "word": " subgroup", "probability": 0.8955078125}, {"start": 1758.14, "end": 1758.44, "word": " من", "probability": 0.99072265625}, {"start": 1758.44, "end": 1759.32, "word": " S3", "probability": 0.9091796875}, {"start": 1759.32, "end": 1760.14, "word": " هذا", "probability": 0.8896484375}, {"start": 1760.14, "end": 1760.92, "word": " معناه", "probability": 0.98291015625}, {"start": 1760.92, "end": 1761.74, "word": " ان", "probability": 0.54248046875}, {"start": 1761.74, "end": 1762.1, "word": " ال", "probability": 0.70458984375}, {"start": 1762.1, "end": 1762.38, "word": " G", "probability": 0.9208984375}, {"start": 1762.38, "end": 1762.88, "word": " او", "probability": 0.745361328125}, {"start": 1762.88, "end": 1763.14, "word": " ال", "probability": 0.955078125}, {"start": 1763.14, "end": 1764.52, "word": " S3", "probability": 0.966552734375}], "temperature": 1.0}, {"id": 74, "seek": 178946, "start": 1764.82, "end": 1789.46, "text": "لا يمكن أن تساوي الـH اللي هو مضروبة في K يعني في هذه الحالة الـG is not the internal product تبع الـH والـK خد لك مثال آخر example 2 خد للـG تساوي زد 12", "tokens": [15040, 7251, 43020, 14739, 6055, 3794, 995, 45865, 2423, 39184, 39, 13672, 1829, 31439, 3714, 11242, 32887, 49401, 8978, 591, 37495, 22653, 8978, 29538, 21542, 6027, 3660, 2423, 39184, 38, 307, 406, 264, 6920, 1674, 6055, 3555, 3615, 2423, 39184, 39, 16070, 39184, 42, 16490, 3215, 5296, 4117, 50113, 6027, 19753, 34740, 1365, 568, 16490, 3215, 24976, 39184, 38, 6055, 3794, 995, 45865, 30767, 3215, 2272], "avg_logprob": -0.25886194296737214, "compression_ratio": 1.3846153846153846, "no_speech_prob": 0.0, "words": [{"start": 1764.82, "end": 1765.28, "word": "لا", "probability": 0.53759765625}, {"start": 1765.28, "end": 1766.28, "word": " يمكن", "probability": 0.91015625}, {"start": 1766.28, "end": 1766.98, "word": " أن", "probability": 0.69580078125}, {"start": 1766.98, "end": 1767.94, "word": " تساوي", "probability": 0.9151611328125}, {"start": 1767.94, "end": 1768.84, "word": " الـH", "probability": 0.5630696614583334}, {"start": 1768.84, "end": 1769.58, "word": " اللي", "probability": 0.681640625}, {"start": 1769.58, "end": 1769.98, "word": " هو", "probability": 0.90234375}, {"start": 1769.98, "end": 1770.98, "word": " مضروبة", "probability": 0.94580078125}, {"start": 1770.98, "end": 1771.28, "word": " في", "probability": 0.9287109375}, {"start": 1771.28, "end": 1771.54, "word": " K", "probability": 0.5166015625}, {"start": 1771.54, "end": 1772.4, "word": " يعني", "probability": 0.856689453125}, {"start": 1772.4, "end": 1772.56, "word": " في", "probability": 0.951171875}, {"start": 1772.56, "end": 1772.94, "word": " هذه", "probability": 0.92578125}, {"start": 1772.94, "end": 1773.56, "word": " الحالة", "probability": 0.9913736979166666}, {"start": 1773.56, "end": 1774.22, "word": " الـG", "probability": 0.86669921875}, {"start": 1774.22, "end": 1774.52, "word": " is", "probability": 0.705078125}, {"start": 1774.52, "end": 1774.98, "word": " not", "probability": 0.95703125}, {"start": 1774.98, "end": 1775.28, "word": " the", "probability": 0.87744140625}, {"start": 1775.28, "end": 1775.76, "word": " internal", "probability": 0.876953125}, {"start": 1775.76, "end": 1776.12, "word": " product", "probability": 0.43603515625}, {"start": 1776.12, "end": 1776.92, "word": " تبع", "probability": 0.7596842447916666}, {"start": 1776.92, "end": 1778.6, "word": " الـH", "probability": 0.9143880208333334}, {"start": 1778.6, "end": 1779.32, "word": " والـK", "probability": 0.6728515625}, {"start": 1779.32, "end": 1780.28, "word": " خد", "probability": 0.802734375}, {"start": 1780.28, "end": 1780.5, "word": " لك", "probability": 0.7030029296875}, {"start": 1780.5, "end": 1781.02, "word": " مثال", "probability": 0.959228515625}, {"start": 1781.02, "end": 1782.92, "word": " آخر", "probability": 0.7027587890625}, {"start": 1782.92, "end": 1783.68, "word": " example", "probability": 0.72509765625}, {"start": 1783.68, "end": 1784.44, "word": " 2", "probability": 0.572265625}, {"start": 1784.44, "end": 1786.68, "word": " خد", "probability": 0.90478515625}, {"start": 1786.68, "end": 1787.36, "word": " للـG", "probability": 0.704345703125}, {"start": 1787.36, "end": 1788.32, "word": " تساوي", "probability": 0.9246826171875}, {"start": 1788.32, "end": 1789.04, "word": " زد", "probability": 0.4732666015625}, {"start": 1789.04, "end": 1789.46, "word": " 12", "probability": 0.501953125}], "temperature": 1.0}, {"id": 75, "seek": 180758, "start": 1791.3, "end": 1807.58, "text": "وخد الـ H هي الـ subgroup generated by تلاتة و K هي ال subgroup generated by أربعة بالشكل اللي عندنا هذا تمام والسؤال هو", "tokens": [2407, 9778, 3215, 2423, 39184, 389, 39896, 2423, 39184, 1422, 17377, 10833, 538, 6055, 1211, 9307, 3660, 4032, 591, 39896, 2423, 1422, 17377, 10833, 538, 5551, 25513, 27884, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 46811, 10943, 16070, 3794, 33604, 6027, 31439], "avg_logprob": -0.31196733631870965, "compression_ratio": 1.3615384615384616, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1791.3, "end": 1791.94, "word": "وخد", "probability": 0.4392496744791667}, {"start": 1791.94, "end": 1792.3, "word": " الـ", "probability": 0.41943359375}, {"start": 1792.3, "end": 1792.64, "word": " H", "probability": 0.51953125}, {"start": 1792.64, "end": 1793.0, "word": " هي", "probability": 0.88134765625}, {"start": 1793.0, "end": 1793.24, "word": " الـ", "probability": 0.52490234375}, {"start": 1793.24, "end": 1793.94, "word": " subgroup", "probability": 0.614990234375}, {"start": 1793.94, "end": 1794.68, "word": " generated", "probability": 0.7109375}, {"start": 1794.68, 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"end": 1804.26, "word": " عندنا", "probability": 0.95361328125}, {"start": 1804.26, "end": 1804.62, "word": " هذا", "probability": 0.91455078125}, {"start": 1804.62, "end": 1805.68, "word": " تمام", "probability": 0.878662109375}, {"start": 1805.68, "end": 1807.2, "word": " والسؤال", "probability": 0.93310546875}, {"start": 1807.2, "end": 1807.58, "word": " هو", "probability": 0.98046875}], "temperature": 1.0}, {"id": 76, "seek": 182328, "start": 1808.36, "end": 1823.28, "text": "Is الـ Z8 Z12 تساوي الـ Internal Direct Product ما بين الـ H والـ K أم الـ Solution", "tokens": [6802, 2423, 39184, 1176, 23, 1176, 4762, 6055, 3794, 995, 45865, 2423, 39184, 47836, 18308, 22005, 19446, 49374, 2423, 39184, 389, 16070, 39184, 591, 5551, 2304, 2423, 39184, 318, 3386], "avg_logprob": -0.5514112980135025, "compression_ratio": 1.168421052631579, "no_speech_prob": 0.0, "words": [{"start": 1808.36, "end": 1809.08, "word": "Is", "probability": 0.02978515625}, {"start": 1809.08, "end": 1810.8, "word": " الـ", "probability": 0.79931640625}, {"start": 1810.8, "end": 1812.04, "word": " Z8", "probability": 0.3770751953125}, {"start": 1812.04, "end": 1813.32, "word": " Z12", "probability": 0.5526123046875}, {"start": 1813.32, "end": 1814.64, "word": " تساوي", "probability": 0.85302734375}, {"start": 1814.64, "end": 1815.24, "word": " الـ", "probability": 0.731201171875}, {"start": 1815.24, "end": 1815.72, "word": " Internal", "probability": 0.56787109375}, {"start": 1815.72, "end": 1816.16, "word": " Direct", "probability": 0.197998046875}, {"start": 1816.16, "end": 1816.92, "word": " Product", "probability": 0.912109375}, {"start": 1816.92, "end": 1817.44, "word": " ما", "probability": 0.56298828125}, {"start": 1817.44, "end": 1817.88, "word": " بين", "probability": 0.9921875}, {"start": 1817.88, "end": 1818.26, "word": " الـ", "probability": 0.94091796875}, {"start": 1818.26, "end": 1818.64, "word": " H", "probability": 0.80322265625}, {"start": 1818.64, "end": 1819.62, "word": " والـ", "probability": 0.6048583984375}, {"start": 1819.62, "end": 1820.06, "word": " K", "probability": 0.6240234375}, {"start": 1820.06, "end": 1820.82, "word": " أم", "probability": 0.747314453125}, {"start": 1820.82, "end": 1821.36, "word": " الـ", "probability": 0.26220703125}, {"start": 1821.36, "end": 1823.28, "word": " Solution", "probability": 0.7198486328125}], "temperature": 1.0}, {"id": 77, "seek": 184912, "start": 1827.02, "end": 1849.12, "text": "بسأل السؤال التالي هى عندك H اللى هى تساوي العناصر تبعتها 0,3,6,9 والـ K عناصرها 0,4,8 السؤال هو هل الـ H و K normal subgroup من Z إتناش", "tokens": [3555, 3794, 10721, 1211, 21136, 33604, 6027, 16712, 6027, 1829, 8032, 7578, 43242, 4117, 389, 13672, 7578, 8032, 7578, 6055, 3794, 995, 45865, 18863, 1863, 33546, 2288, 6055, 3555, 34268, 11296, 1958, 11, 18, 11, 21, 11, 24, 16070, 39184, 591, 18871, 33546, 2288, 11296, 1958, 11, 19, 11, 23, 21136, 33604, 6027, 31439, 8032, 1211, 2423, 39184, 389, 4032, 591, 2710, 1422, 17377, 9154, 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0.92578125}, {"start": 2080.14, "end": 2080.74, "word": " definition", "probability": 0.94873046875}, {"start": 2080.74, "end": 2081.5, "word": " بيقول", "probability": 0.9698893229166666}, {"start": 2081.5, "end": 2081.9, "word": " ما", "probability": 0.9140625}, {"start": 2081.9, "end": 2082.42, "word": " ياتي", "probability": 0.86962890625}, {"start": 2082.42, "end": 2082.6, "word": " ال", "probability": 0.45166015625}, {"start": 2082.6, "end": 2082.92, "word": " let", "probability": 0.51025390625}, {"start": 2082.92, "end": 2084.12, "word": " each", "probability": 0.364013671875}, {"start": 2084.12, "end": 2084.74, "word": " واحد", "probability": 0.931640625}], "temperature": 1.0}, {"id": 88, "seek": 211188, "start": 2085.24, "end": 2111.88, "text": "وH2 و لغاية HN يعني يا شباب بدنا نعمم حاصل الضرب H في K بدل ما هو تنتين بدنا نخليه ل N من ال subgroups ب finite collection finite collection of normal", "tokens": [2407, 39, 17, 4032, 5296, 17082, 995, 10632, 389, 45, 37495, 22653, 35186, 13412, 3555, 16758, 47525, 8315, 8717, 25957, 2304, 11331, 33546, 1211, 6024, 114, 25513, 389, 8978, 591, 47525, 1211, 19446, 31439, 6055, 29399, 9957, 47525, 8315, 8717, 9778, 20292, 3224, 5296, 426, 9154, 2423, 1422, 17377, 82, 4724, 19362, 5765, 19362, 5765, 295, 2710], "avg_logprob": -0.36772629618644714, "compression_ratio": 1.356687898089172, "no_speech_prob": 0.0, "words": [{"start": 2085.24, "end": 2086.46, "word": "وH2", "probability": 0.360382080078125}, {"start": 2086.46, "end": 2087.28, "word": " و", "probability": 0.447265625}, {"start": 2087.28, "end": 2087.88, "word": " لغاية", "probability": 0.8111572265625}, {"start": 2087.88, "end": 2088.58, "word": " HN", "probability": 0.672119140625}, {"start": 2088.58, "end": 2088.86, "word": " يعني", "probability": 0.6737060546875}, {"start": 2088.86, "end": 2089.06, "word": " يا", "probability": 0.865234375}, {"start": 2089.06, "end": 2089.24, "word": " شباب", "probability": 0.9910481770833334}, {"start": 2089.24, "end": 2089.72, "word": " بدنا", "probability": 0.933349609375}, {"start": 2089.72, "end": 2090.7, "word": " نعمم", "probability": 0.8976236979166666}, {"start": 2090.7, "end": 2091.54, "word": " حاصل", "probability": 0.7626953125}, {"start": 2091.54, "end": 2091.96, "word": " الضرب", "probability": 0.7464192708333334}, {"start": 2091.96, "end": 2092.36, "word": " H", "probability": 0.66259765625}, {"start": 2092.36, "end": 2092.54, "word": " في", "probability": 0.70654296875}, {"start": 2092.54, "end": 2092.8, "word": " K", "probability": 0.5751953125}, {"start": 2092.8, "end": 2093.12, "word": " بدل", "probability": 0.88818359375}, {"start": 2093.12, "end": 2093.22, "word": " ما", "probability": 0.9599609375}, {"start": 2093.22, "end": 2093.4, "word": " هو", "probability": 0.7900390625}, {"start": 2093.4, "end": 2093.94, "word": " تنتين", "probability": 0.7279459635416666}, {"start": 2093.94, "end": 2094.52, "word": " بدنا", "probability": 0.882080078125}, {"start": 2094.52, "end": 2095.16, "word": " نخليه", "probability": 0.7235107421875}, {"start": 2095.16, "end": 2095.52, "word": " ل", "probability": 0.8564453125}, {"start": 2095.52, "end": 2096.26, "word": " N", "probability": 0.6728515625}, {"start": 2096.26, "end": 2096.88, "word": " من", "probability": 0.990234375}, {"start": 2096.88, "end": 2097.36, "word": " ال", "probability": 0.87353515625}, {"start": 2097.36, "end": 2098.92, "word": " subgroups", "probability": 0.6472981770833334}, {"start": 2098.92, "end": 2099.32, "word": " ب", "probability": 0.28271484375}, {"start": 2099.32, "end": 2101.92, "word": " finite", "probability": 0.51025390625}, {"start": 2101.92, "end": 2104.94, "word": " collection", "probability": 0.8232421875}, {"start": 2104.94, "end": 2107.1, "word": " finite", "probability": 0.5263671875}, {"start": 2107.1, "end": 2108.32, "word": " collection", "probability": 0.8505859375}, {"start": 2108.32, "end": 2109.4, "word": " of", "probability": 0.962890625}, {"start": 2109.4, "end": 2111.88, "word": " normal", "probability": 0.83837890625}], "temperature": 1.0}, {"id": 89, "seek": 214032, "start": 2116.32, "end": 2140.32, "text": "subgroups of G we say that we say that بروح نقول ال G هي ال internal byproduct H1 في H2 في في HN", "tokens": [30131, 17377, 82, 295, 460, 321, 584, 300, 321, 584, 300, 4724, 32887, 5016, 8717, 39648, 2423, 460, 39896, 2423, 6920, 538, 33244, 389, 16, 8978, 389, 17, 8978, 8978, 389, 45], "avg_logprob": -0.28077651515151514, "compression_ratio": 1.1717171717171717, "no_speech_prob": 0.0, "words": [{"start": 2116.3199999999997, "end": 2117.72, "word": "subgroups", "probability": 0.7877604166666666}, {"start": 2117.72, "end": 2118.94, "word": " of", "probability": 0.943359375}, {"start": 2118.94, "end": 2120.08, "word": " G", "probability": 0.525390625}, {"start": 2120.08, "end": 2122.66, "word": " we", "probability": 0.46337890625}, {"start": 2122.66, "end": 2123.02, "word": " say", "probability": 0.95556640625}, {"start": 2123.02, "end": 2123.88, "word": " that", "probability": 0.9501953125}, {"start": 2123.88, "end": 2124.52, "word": " we", "probability": 0.1434326171875}, {"start": 2124.52, "end": 2125.84, "word": " say", "probability": 0.94189453125}, {"start": 2125.84, "end": 2126.88, "word": " that", "probability": 0.953125}, {"start": 2126.88, "end": 2128.76, "word": " بروح", "probability": 0.87841796875}, {"start": 2128.76, "end": 2129.34, "word": " نقول", "probability": 0.97021484375}, {"start": 2129.34, "end": 2130.56, "word": " ال", "probability": 0.78955078125}, {"start": 2130.56, "end": 2130.98, "word": " G", "probability": 0.60009765625}, {"start": 2130.98, "end": 2132.02, "word": " هي", "probability": 0.84619140625}, {"start": 2132.02, "end": 2132.32, "word": " ال", "probability": 0.98095703125}, {"start": 2132.32, "end": 2133.14, "word": " internal", "probability": 0.8974609375}, {"start": 2133.14, "end": 2134.28, "word": " byproduct", "probability": 0.531005859375}, {"start": 2134.28, "end": 2135.2, "word": " H1", "probability": 0.685302734375}, {"start": 2135.2, "end": 2136.04, "word": " في", "probability": 0.8857421875}, {"start": 2136.04, "end": 2136.94, "word": " H2", "probability": 0.973876953125}, {"start": 2136.94, "end": 2138.0, "word": " في", "probability": 0.96435546875}, {"start": 2138.0, "end": 2138.66, "word": " في", "probability": 0.7802734375}, {"start": 2138.66, "end": 2140.32, "word": " HN", "probability": 0.786865234375}], "temperature": 1.0}, {"id": 90, "seek": 216619, "start": 2141.69, "end": 2166.19, "text": "اللي هو الـ Internal Direct Product تبع الـ H's هدول and the Internal Direct Product of H1 وH2 ولغاية HNF", "tokens": [6027, 20292, 31439, 2423, 39184, 47836, 18308, 22005, 6055, 3555, 3615, 2423, 39184, 389, 311, 8032, 3215, 12610, 293, 264, 47836, 18308, 22005, 295, 389, 16, 4032, 39, 17, 4032, 1211, 17082, 995, 10632, 389, 45, 37], "avg_logprob": -0.24259868107343974, "compression_ratio": 1.2596153846153846, "no_speech_prob": 0.0, "words": [{"start": 2141.69, "end": 2142.13, "word": "اللي", "probability": 0.7333984375}, {"start": 2142.13, "end": 2142.35, "word": " هو", "probability": 0.958984375}, {"start": 2142.35, "end": 2142.63, "word": " الـ", "probability": 0.888916015625}, {"start": 2142.63, "end": 2143.87, "word": " Internal", "probability": 0.7216796875}, {"start": 2143.87, "end": 2146.37, "word": " Direct", "probability": 0.75927734375}, {"start": 2146.37, "end": 2148.61, "word": " Product", "probability": 0.9326171875}, {"start": 2148.61, "end": 2150.87, "word": " تبع", "probability": 0.8650716145833334}, {"start": 2150.87, "end": 2151.09, "word": " الـ", "probability": 0.935791015625}, {"start": 2151.09, "end": 2151.59, "word": " H's", "probability": 0.43524169921875}, {"start": 2151.59, "end": 2152.19, "word": " هدول", "probability": 0.9168294270833334}, {"start": 2152.19, "end": 2154.95, "word": " and", "probability": 0.323974609375}, {"start": 2154.95, "end": 2156.53, "word": " the", "probability": 0.3505859375}, {"start": 2156.53, "end": 2156.95, "word": " Internal", "probability": 0.59912109375}, {"start": 2156.95, "end": 2157.31, "word": " Direct", "probability": 0.7861328125}, {"start": 2157.31, "end": 2157.97, "word": " Product", "probability": 0.94287109375}, {"start": 2157.97, "end": 2159.07, "word": " of", "probability": 0.95458984375}, {"start": 2159.07, "end": 2161.07, "word": " H1", "probability": 0.848388671875}, {"start": 2161.07, "end": 2162.87, "word": " وH2", "probability": 0.9178059895833334}, {"start": 2162.87, "end": 2164.23, "word": " ولغاية", "probability": 0.88212890625}, {"start": 2164.23, "end": 2166.19, "word": " HNF", "probability": 0.833984375}], "temperature": 1.0}, {"id": 91, "seek": 218489, "start": 2170.09, "end": 2184.89, "text": "إذا تحققت الشروط التالية نمرا واحد الـ G يساوي H1 في H2 في HN بالشكل اللي عندنا هذا", "tokens": [28814, 15730, 6055, 5016, 4587, 4587, 2655, 25124, 32887, 9566, 16712, 6027, 10632, 8717, 2304, 23557, 36764, 24401, 2423, 39184, 460, 7251, 3794, 995, 45865, 389, 16, 8978, 389, 17, 8978, 389, 45, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758], "avg_logprob": -0.23586308849709375, "compression_ratio": 1.2792792792792793, "no_speech_prob": 0.0, "words": [{"start": 2170.09, "end": 2170.41, "word": "إذا", "probability": 0.80712890625}, {"start": 2170.41, "end": 2171.17, "word": " تحققت", "probability": 0.808984375}, {"start": 2171.17, "end": 2171.69, "word": " الشروط", "probability": 0.8854166666666666}, {"start": 2171.69, "end": 2172.35, "word": " التالية", "probability": 0.99169921875}, {"start": 2172.35, "end": 2172.95, "word": " نمرا", "probability": 0.5224609375}, {"start": 2172.95, "end": 2173.55, "word": " واحد", "probability": 0.825927734375}, {"start": 2173.55, "end": 2174.53, "word": " الـ", "probability": 0.796875}, {"start": 2174.53, "end": 2174.91, "word": " G", "probability": 0.478515625}, {"start": 2174.91, "end": 2176.13, "word": " يساوي", "probability": 0.7366943359375}, {"start": 2176.13, "end": 2177.23, "word": " H1", "probability": 0.751953125}, {"start": 2177.23, "end": 2178.61, "word": " في", "probability": 0.66552734375}, {"start": 2178.61, "end": 2179.89, "word": " H2", "probability": 0.9794921875}, {"start": 2179.89, "end": 2181.09, "word": " في", "probability": 0.984375}, {"start": 2181.09, "end": 2183.31, "word": " HN", "probability": 0.7080078125}, {"start": 2183.31, "end": 2183.99, "word": " بالشكل", "probability": 0.9073893229166666}, {"start": 2183.99, "end": 2184.17, "word": " اللي", "probability": 0.96630859375}, {"start": 2184.17, "end": 2184.63, "word": " عندنا", "probability": 0.9091796875}, {"start": 2184.63, "end": 2184.89, "word": " هذا", "probability": 0.625}], "temperature": 1.0}, {"id": 92, "seek": 221559, "start": 2186.93, "end": 2215.59, "text": "واللي هي تساوي the set of all elements h1, h2, h3, hn such that hi موجودة في الـ hi بالشكل اللي عندنا هذا ال condition الثاني condition الثاني ان ال h1, h2 و لغاية ال hi", "tokens": [2407, 6027, 20292, 39896, 6055, 3794, 995, 45865, 264, 992, 295, 439, 4959, 276, 16, 11, 276, 17, 11, 276, 18, 11, 276, 77, 1270, 300, 4879, 3714, 29245, 23328, 3660, 8978, 2423, 39184, 4879, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 2423, 4188, 6024, 104, 7649, 1829, 4188, 6024, 104, 7649, 1829, 16472, 2423, 276, 16, 11, 276, 17, 4032, 5296, 17082, 995, 10632, 2423, 4879], "avg_logprob": -0.19916213854499484, "compression_ratio": 1.4842767295597483, "no_speech_prob": 0.0, "words": [{"start": 2186.93, "end": 2187.51, "word": "واللي", "probability": 0.697021484375}, {"start": 2187.51, "end": 2187.77, "word": " هي", "probability": 0.66455078125}, {"start": 2187.77, "end": 2188.65, "word": " تساوي", "probability": 0.94140625}, {"start": 2188.65, "end": 2189.47, "word": " the", "probability": 0.23681640625}, {"start": 2189.47, "end": 2189.89, "word": " set", "probability": 0.9462890625}, {"start": 2189.89, "end": 2190.25, "word": " of", "probability": 0.97900390625}, {"start": 2190.25, "end": 2190.61, "word": " all", "probability": 0.939453125}, {"start": 2190.61, "end": 2191.15, "word": " elements", "probability": 0.740234375}, {"start": 2191.15, "end": 2191.97, "word": " h1,", "probability": 0.671142578125}, {"start": 2192.19, "end": 2193.41, "word": " h2,", "probability": 0.873046875}, {"start": 2193.87, "end": 2194.81, "word": " h3,", "probability": 0.90185546875}, {"start": 2195.43, "end": 2196.33, "word": " hn", "probability": 0.6790771484375}, {"start": 2196.33, "end": 2197.11, "word": " such", "probability": 0.73291015625}, {"start": 2197.11, "end": 2197.77, "word": " that", "probability": 0.95068359375}, {"start": 2197.77, "end": 2199.01, "word": " hi", "probability": 0.57861328125}, {"start": 2199.01, "end": 2200.39, "word": " موجودة", "probability": 0.9749755859375}, {"start": 2200.39, "end": 2200.55, "word": " في", "probability": 0.93310546875}, {"start": 2200.55, "end": 2200.83, "word": " الـ", "probability": 0.8701171875}, {"start": 2200.83, "end": 2201.45, "word": " hi", "probability": 0.53076171875}, {"start": 2201.45, "end": 2202.03, "word": " بالشكل", "probability": 0.9235026041666666}, {"start": 2202.03, "end": 2202.19, "word": " اللي", "probability": 0.961669921875}, {"start": 2202.19, "end": 2202.71, "word": " عندنا", "probability": 0.8525390625}, {"start": 2202.71, "end": 2203.37, "word": " هذا", "probability": 0.90185546875}, {"start": 2203.37, "end": 2205.41, "word": " ال", "probability": 0.8203125}, {"start": 2205.41, "end": 2205.83, "word": " condition", "probability": 0.908203125}, {"start": 2205.83, "end": 2206.89, "word": " الثاني", "probability": 0.94970703125}, {"start": 2206.89, "end": 2208.63, "word": " condition", "probability": 0.45703125}, {"start": 2208.63, "end": 2209.63, "word": " الثاني", "probability": 0.9666748046875}, {"start": 2209.63, "end": 2210.31, "word": " ان", "probability": 0.5166015625}, {"start": 2210.31, "end": 2210.53, "word": " ال", "probability": 0.96923828125}, {"start": 2210.53, "end": 2211.37, "word": " h1,", "probability": 0.73193359375}, {"start": 2211.51, "end": 2213.17, "word": " h2", "probability": 0.963134765625}, {"start": 2213.17, "end": 2214.07, "word": " و", "probability": 0.544921875}, {"start": 2214.07, "end": 2214.53, "word": " لغاية", "probability": 0.90234375}, {"start": 2214.53, "end": 2214.87, "word": " ال", "probability": 0.96337890625}, {"start": 2214.87, "end": 2215.59, "word": " hi", "probability": 0.70166015625}], "temperature": 1.0}, {"id": 93, "seek": 224119, "start": 2217.37, "end": 2241.19, "text": "Intersection hi plus one بده يساوي ماين بده يساوي ال identity element for i تساوي واحد واتنين و لغاية ال n ناقص واحد نجي لل theorem", "tokens": [13406, 11963, 4879, 1804, 472, 47525, 3224, 7251, 3794, 995, 45865, 19446, 9957, 47525, 3224, 7251, 3794, 995, 45865, 2423, 6575, 4478, 337, 741, 6055, 3794, 995, 45865, 36764, 24401, 4032, 9307, 1863, 9957, 4032, 5296, 17082, 995, 10632, 2423, 297, 8717, 995, 4587, 9381, 36764, 24401, 8717, 7435, 1829, 24976, 20904], 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new file mode 100644
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+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/AWHAVt1fZHw_raw.json
@@ -0,0 +1 @@
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حسابه فى عملية الضرب عشان اعرف انه هل alpha فى beta بتساوي beta فى alpha و الله مابتساويش ال cyclic notation او ال cycle notation بريحني الفكرة هان كانت تالى لو انا خدت alpha بهذا الشكل واحد اتنين تلاتة اربعة خمسة ستة سبعة نكبرها مثلا لتمانية", "tokens": [3555, 9381, 1829, 43242, 7578, 8608, 3224, 12610, 3660, 6156, 7578, 11331, 3794, 16758, 3224, 6156, 7578, 6225, 42213, 10632, 6024, 114, 25513, 6225, 8592, 7649, 1975, 3615, 28480, 16472, 3224, 8032, 1211, 8961, 6156, 7578, 9861, 39894, 3794, 995, 45865, 9861, 6156, 7578, 8961, 4032, 21984, 3714, 16758, 2655, 3794, 995, 45865, 8592, 2423, 38154, 1050, 24657, 1975, 2407, 2423, 6586, 24657, 4724, 16572, 5016, 22653, 27188, 4117, 25720, 8032, 7649, 25961, 2655, 6055, 6027, 7578, 45164, 1975, 8315, 16490, 3215, 2655, 8961, 39627, 15730, 25124, 28820, 36764, 24401, 1975, 2655, 1863, 9957, 6055, 1211, 9307, 3660, 1975, 25513, 27884, 16490, 2304, 3794, 3660, 8608, 2655, 3660, 8608, 3555, 27884, 8717, 4117, 26890, 11296, 50113, 15040, 5296, 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"probability": 0.9173177083333334}, {"start": 1476.39, "end": 1477.15, "word": " والواحد", "probability": 0.8878580729166666}, {"start": 1477.15, "end": 1479.59, "word": " لمين؟", "probability": 0.95849609375}, {"start": 1479.59, "end": 1479.87, "word": " ايش", "probability": 0.748779296875}, {"start": 1479.87, "end": 1480.23, "word": " بالاربعة", "probability": 0.8614501953125}, {"start": 1480.23, "end": 1480.45, "word": " لمين", "probability": 0.912353515625}, {"start": 1480.45, "end": 1480.87, "word": " راحت؟", "probability": 0.89013671875}], "temperature": 1.0}, {"id": 54, "seek": 149522, "start": 1484.26, "end": 1495.22, "text": "مضحك؟ عشان مش موجودك بقى هو محايد، هو مش موجود هنفل لنفسه، مش موجود هنبقى لنفسه", "tokens": [2304, 11242, 5016, 4117, 22807, 6225, 8592, 7649, 37893, 3714, 29245, 23328, 4117, 4724, 4587, 7578, 31439, 3714, 5016, 995, 25708, 12399, 31439, 37893, 3714, 29245, 23328, 8032, 1863, 5172, 1211, 5296, 1863, 36178, 3224, 12399, 37893, 3714, 29245, 23328, 8032, 1863, 3555, 4587, 7578, 5296, 1863, 36178, 3224], "avg_logprob": -0.22546875566244126, "compression_ratio": 1.5888888888888888, "no_speech_prob": 2.9206275939941406e-06, "words": [{"start": 1484.26, "end": 1485.2, "word": "مضحك؟", "probability": 0.806103515625}, {"start": 1485.2, "end": 1486.14, "word": " عشان", "probability": 0.7207438151041666}, {"start": 1486.14, "end": 1486.28, "word": " مش", "probability": 0.9619140625}, {"start": 1486.28, "end": 1486.82, "word": " موجودك", "probability": 0.981689453125}, {"start": 1486.82, "end": 1487.02, "word": " بقى", "probability": 0.9241536458333334}, {"start": 1487.02, "end": 1487.28, "word": " هو", "probability": 0.865234375}, {"start": 1487.28, "end": 1490.98, "word": " محايد،", "probability": 0.74189453125}, {"start": 1490.98, "end": 1491.58, "word": " هو", "probability": 0.215576171875}, {"start": 1491.58, "end": 1491.74, "word": " مش", "probability": 0.9384765625}, {"start": 1491.74, "end": 1492.02, "word": " موجود", "probability": 0.98486328125}, {"start": 1492.02, "end": 1492.3, "word": " هنفل", "probability": 0.8485107421875}, {"start": 1492.3, "end": 1493.28, "word": " لنفسه،", "probability": 0.9521484375}, {"start": 1493.28, "end": 1493.94, "word": " مش", "probability": 0.6171875}, {"start": 1493.94, "end": 1494.34, "word": " موجود", "probability": 0.9451497395833334}, {"start": 1494.34, "end": 1494.62, "word": " هنبقى", "probability": 0.8259765625}, {"start": 1494.62, "end": 1495.22, "word": " لنفسه", "probability": 0.82916259765625}], "temperature": 1.0}, {"id": 55, "seek": 154172, "start": 1517.12, "end": 1541.72, "text": "ملاحظة ال identity ايش بيساوي ال identity عبارة عن مثلا واحد اتنين تلاتة لعند ان الواحد لواحد اتنين لاتنين تلاتة لتلاتة لان لان يعني واحد اتنين تلاتة بعدين في الآخر لان هذه طريقة كتابة ال identity على شكل cycle", "tokens": [2304, 15040, 5016, 19913, 3660, 2423, 6575, 1975, 1829, 8592, 4724, 1829, 3794, 995, 45865, 2423, 6575, 6225, 3555, 9640, 3660, 18871, 50113, 15040, 36764, 24401, 1975, 2655, 1863, 9957, 6055, 1211, 9307, 3660, 5296, 3615, 41260, 16472, 2423, 14407, 24401, 5296, 14407, 24401, 1975, 2655, 1863, 9957, 5296, 9307, 1863, 9957, 6055, 1211, 9307, 3660, 5296, 2655, 1211, 9307, 3660, 5296, 7649, 5296, 7649, 37495, 22653, 36764, 24401, 1975, 2655, 1863, 9957, 6055, 1211, 9307, 3660, 39182, 9957, 8978, 6024, 95, 34740, 5296, 7649, 29538, 23032, 16572, 28671, 9122, 2655, 16758, 3660, 2423, 6575, 15844, 13412, 28820, 6586], "avg_logprob": -0.1596875050663948, "compression_ratio": 2.040462427745665, "no_speech_prob": 0.0, "words": [{"start": 1517.12, "end": 1518.0, "word": "ملاحظة", "probability": 0.971484375}, {"start": 1518.0, "end": 1518.88, "word": " ال", "probability": 0.93603515625}, {"start": 1518.88, "end": 1519.38, "word": " identity", "probability": 0.7998046875}, {"start": 1519.38, "end": 1519.76, "word": " ايش", "probability": 0.7111002604166666}, {"start": 1519.76, "end": 1520.18, "word": " بيساوي", "probability": 0.862890625}, {"start": 1520.18, "end": 1522.6, "word": " ال", "probability": 0.84423828125}, {"start": 1522.6, "end": 1522.98, "word": " identity", "probability": 0.94140625}, {"start": 1522.98, "end": 1523.56, "word": " عبارة", "probability": 0.787384033203125}, {"start": 1523.56, "end": 1523.74, "word": " عن", "probability": 0.99267578125}, {"start": 1523.74, "end": 1524.16, "word": " مثلا", "probability": 0.866943359375}, {"start": 1524.16, "end": 1525.2, "word": " واحد", "probability": 0.58502197265625}, {"start": 1525.2, "end": 1525.54, "word": " اتنين", "probability": 0.934326171875}, {"start": 1525.54, "end": 1526.02, "word": " تلاتة", "probability": 0.9400634765625}, {"start": 1526.02, "end": 1526.32, "word": " لعند", "probability": 0.7364908854166666}, {"start": 1526.32, "end": 1526.54, "word": " ان", "probability": 0.43017578125}, {"start": 1526.54, "end": 1527.56, "word": " الواحد", "probability": 0.91650390625}, {"start": 1527.56, "end": 1527.94, "word": " لواحد", "probability": 0.8243815104166666}, {"start": 1527.94, "end": 1528.28, "word": " اتنين", "probability": 0.948974609375}, {"start": 1528.28, "end": 1528.62, "word": " لاتنين", "probability": 0.7783203125}, {"start": 1528.62, "end": 1529.02, "word": " تلاتة", "probability": 0.9483642578125}, {"start": 1529.02, "end": 1529.48, "word": " لتلاتة", "probability": 0.953515625}, {"start": 1529.48, "end": 1529.68, "word": " لان", "probability": 0.90185546875}, {"start": 1529.68, "end": 1530.04, "word": " لان", "probability": 0.96826171875}, {"start": 1530.04, "end": 1530.92, "word": " يعني", "probability": 0.909423828125}, {"start": 1530.92, "end": 1531.38, "word": " واحد", "probability": 0.94189453125}, {"start": 1531.38, "end": 1532.16, "word": " اتنين", "probability": 0.9776611328125}, {"start": 1532.16, "end": 1533.3, "word": " تلاتة", "probability": 0.9627685546875}, {"start": 1533.3, "end": 1535.06, "word": " بعدين", "probability": 0.59063720703125}, {"start": 1535.06, "end": 1535.18, "word": " في", "probability": 0.83203125}, {"start": 1535.18, "end": 1535.62, "word": " الآخر", "probability": 0.8513997395833334}, {"start": 1535.62, "end": 1536.28, "word": " لان", "probability": 0.978515625}, {"start": 1536.28, "end": 1537.84, "word": " هذه", "probability": 0.720703125}, {"start": 1537.84, "end": 1538.22, "word": " طريقة", "probability": 0.9840494791666666}, {"start": 1538.22, "end": 1538.74, "word": " كتابة", "probability": 0.9974365234375}, {"start": 1538.74, "end": 1538.86, "word": " ال", "probability": 0.9921875}, {"start": 1538.86, "end": 1539.32, "word": " identity", "probability": 0.93115234375}, {"start": 1539.32, "end": 1539.64, "word": " على", "probability": 0.83984375}, {"start": 1539.64, "end": 1540.06, "word": " شكل", "probability": 0.9853515625}, {"start": 1540.06, "end": 1541.72, "word": " cycle", "probability": 0.81494140625}], "temperature": 1.0}, {"id": 56, "seek": 157136, "start": 1545.44, "end": 1571.36, "text": "theorem خمسة واحد من الأنفا ساعدا غالبية شغل هيكون فيهاش في ال cycle notation أنه أسهل في الكتابة و أسرع في الحسابات theorem خمسة واحد بتقول التالي خلينا نكتبها وبعدين نفهم عن إيش بتكلم every permutation", "tokens": [3322, 37956, 16490, 2304, 3794, 3660, 36764, 24401, 9154, 16247, 1863, 5172, 995, 8608, 995, 22488, 995, 32771, 6027, 3555, 10632, 13412, 17082, 1211, 39896, 30544, 8978, 3224, 33599, 8978, 2423, 6586, 24657, 14739, 3224, 5551, 3794, 3224, 1211, 8978, 33251, 2655, 16758, 3660, 4032, 5551, 3794, 2288, 3615, 8978, 21542, 3794, 16758, 9307, 20904, 16490, 2304, 3794, 3660, 36764, 24401, 39894, 39648, 16712, 6027, 1829, 16490, 20292, 8315, 8717, 4117, 2655, 3555, 11296, 46599, 22488, 9957, 8717, 5172, 16095, 18871, 11933, 1829, 8592, 39894, 4117, 19528, 633, 4784, 11380], "avg_logprob": -0.24725274725274726, "compression_ratio": 1.6318407960199004, "no_speech_prob": 0.0, "words": [{"start": 1545.44, "end": 1546.02, "word": "theorem", "probability": 0.548919677734375}, {"start": 1546.02, "end": 1546.58, "word": " خمسة", "probability": 0.80047607421875}, {"start": 1546.58, "end": 1546.96, "word": " واحد", "probability": 0.984375}, {"start": 1546.96, "end": 1553.38, "word": " من", "probability": 0.17919921875}, {"start": 1553.38, "end": 1553.94, "word": " الأنفا", "probability": 0.6326904296875}, {"start": 1553.94, "end": 1554.5, "word": " ساعدا", "probability": 0.8212890625}, {"start": 1554.5, "end": 1555.9, "word": " غالبية", "probability": 0.7391357421875}, {"start": 1555.9, "end": 1556.2, "word": " شغل", "probability": 0.7278645833333334}, {"start": 1556.2, "end": 1556.52, "word": " هيكون", "probability": 0.680908203125}, {"start": 1556.52, "end": 1557.08, "word": " فيهاش", "probability": 0.8575846354166666}, {"start": 1557.08, "end": 1558.6, "word": " في", "probability": 0.56298828125}, {"start": 1558.6, "end": 1558.7, "word": " ال", "probability": 0.64111328125}, {"start": 1558.7, "end": 1559.02, "word": " cycle", "probability": 0.55224609375}, {"start": 1559.02, "end": 1559.56, "word": " notation", "probability": 0.97314453125}, {"start": 1559.56, "end": 1559.96, "word": " أنه", "probability": 0.56048583984375}, {"start": 1559.96, "end": 1560.54, "word": " أسهل", "probability": 0.987060546875}, {"start": 1560.54, "end": 1560.92, "word": " في", "probability": 0.9404296875}, {"start": 1560.92, "end": 1561.58, "word": " الكتابة", "probability": 0.99560546875}, {"start": 1561.58, "end": 1562.0, "word": " و", "probability": 0.6064453125}, {"start": 1562.0, "end": 1562.36, "word": " أسرع", "probability": 0.969482421875}, {"start": 1562.36, "end": 1562.48, "word": " في", "probability": 0.96728515625}, {"start": 1562.48, "end": 1563.22, "word": " الحسابات", "probability": 0.991943359375}, {"start": 1563.22, "end": 1564.1, "word": " theorem", "probability": 0.429931640625}, {"start": 1564.1, "end": 1564.6, "word": " خمسة", "probability": 0.982666015625}, {"start": 1564.6, "end": 1565.08, "word": " واحد", "probability": 0.989990234375}, {"start": 1565.08, "end": 1565.8, "word": " بتقول", "probability": 0.944580078125}, {"start": 1565.8, "end": 1566.62, "word": " التالي", "probability": 0.9680989583333334}, {"start": 1566.62, "end": 1567.12, "word": " خلينا", "probability": 0.794189453125}, {"start": 1567.12, "end": 1567.42, "word": " نكتبها", "probability": 0.983984375}, {"start": 1567.42, "end": 1567.76, "word": " وبعدين", "probability": 0.73974609375}, {"start": 1567.76, "end": 1568.4, "word": " نفهم", "probability": 0.9728190104166666}, {"start": 1568.4, "end": 1568.76, "word": " عن", "probability": 0.80712890625}, {"start": 1568.76, "end": 1568.86, "word": " إيش", "probability": 0.82080078125}, {"start": 1568.86, "end": 1569.42, "word": " بتكلم", "probability": 0.7931315104166666}, {"start": 1569.42, "end": 1570.3, "word": " every", "probability": 0.68212890625}, {"start": 1570.3, "end": 1571.36, "word": " permutation", "probability": 0.95068359375}], "temperature": 1.0}, {"id": 57, "seek": 160586, "start": 1576.44, "end": 1605.86, "text": "of a finite set طبعا و احنا حصرنا شغلنا من أول ال section في ال finite set a can be written as a cycle or a product of this joint", "tokens": [2670, 257, 19362, 992, 23032, 3555, 3615, 995, 4032, 1975, 5016, 8315, 11331, 9381, 2288, 8315, 13412, 17082, 1211, 8315, 9154, 5551, 12610, 2423, 3541, 8978, 2423, 19362, 992, 257, 393, 312, 3720, 382, 257, 6586, 420, 257, 1674, 295, 341, 7225], "avg_logprob": -0.14362281768821006, "compression_ratio": 1.213740458015267, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1576.44, "end": 1576.88, "word": "of", "probability": 0.5888671875}, {"start": 1576.88, "end": 1578.68, "word": " a", "probability": 0.89599609375}, {"start": 1578.68, "end": 1579.34, "word": " finite", "probability": 0.98779296875}, {"start": 1579.34, "end": 1580.66, "word": " set", "probability": 0.9775390625}, {"start": 1580.66, "end": 1581.48, "word": " طبعا", "probability": 0.9388427734375}, {"start": 1581.48, "end": 1581.56, "word": " و", "probability": 0.9189453125}, {"start": 1581.56, "end": 1581.7, "word": " احنا", "probability": 0.8124186197916666}, {"start": 1581.7, "end": 1582.16, "word": " حصرنا", "probability": 0.964111328125}, {"start": 1582.16, "end": 1582.58, "word": " شغلنا", "probability": 0.9864501953125}, {"start": 1582.58, "end": 1582.7, "word": " من", "probability": 0.9853515625}, {"start": 1582.7, "end": 1583.02, "word": " أول", "probability": 0.7330322265625}, {"start": 1583.02, "end": 1583.2, "word": " ال", "probability": 0.841796875}, {"start": 1583.2, "end": 1583.58, "word": " section", "probability": 0.8720703125}, {"start": 1583.58, "end": 1584.02, "word": " في", "probability": 0.47412109375}, {"start": 1584.02, "end": 1585.3, "word": " ال", "probability": 0.82470703125}, {"start": 1585.3, "end": 1585.56, "word": " finite", "probability": 0.96435546875}, {"start": 1585.56, "end": 1586.06, "word": " set", "probability": 0.9794921875}, {"start": 1586.06, "end": 1586.86, "word": " a", "probability": 0.430419921875}, {"start": 1586.86, "end": 1588.04, "word": " can", "probability": 0.93115234375}, {"start": 1588.04, "end": 1590.14, "word": " be", "probability": 0.943359375}, {"start": 1590.14, "end": 1590.6, "word": " written", "probability": 0.91455078125}, {"start": 1590.6, "end": 1593.48, "word": " as", "probability": 0.966796875}, {"start": 1593.48, "end": 1595.3, "word": " a", "probability": 0.96875}, {"start": 1595.3, "end": 1595.84, "word": " cycle", "probability": 0.962890625}, {"start": 1595.84, "end": 1598.84, "word": " or", "probability": 0.84228515625}, {"start": 1598.84, "end": 1600.16, "word": " a", "probability": 0.904296875}, {"start": 1600.16, "end": 1600.88, "word": " product", "probability": 0.95068359375}, {"start": 1600.88, "end": 1603.92, "word": " of", "probability": 0.974609375}, {"start": 1603.92, "end": 1605.12, "word": " this", "probability": 0.7265625}, {"start": 1605.12, "end": 1605.86, "word": " joint", "probability": 0.89990234375}], "temperature": 1.0}, {"id": 58, "seek": 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2269.46, "word": " ولا", "probability": 0.8525390625}, {"start": 2269.46, "end": 2270.32, "word": " ال", "probability": 0.8701171875}, {"start": 2270.32, "end": 2270.58, "word": " C", "probability": 0.86376953125}], "temperature": 1.0}, {"id": 83, "seek": 234464, "start": 2316.02, "end": 2344.64, "text": "شباب انا لما باجى باخد في permutation ما و بكتب على شكل cycle عادة ببدأ بواحد و بخلص لفة الواحد و بعدين ببدأ باللي بيظل مثلا خلصتين او تلاتة مثلا الأربعة ماكنش موجود ببدأ بالاربعة و بخلص لفة الأربعة و هكذا طب واحد مابدأش بالواحد بدأ بالسبعة هيحصل على لفة السبعة", "tokens": [8592, 3555, 16758, 1975, 8315, 5296, 15042, 4724, 26108, 7578, 4724, 47283, 3215, 8978, 4784, 11380, 19446, 4032, 4724, 4117, 2655, 3555, 15844, 13412, 28820, 6586, 6225, 18513, 3660, 4724, 44510, 10721, 4724, 14407, 24401, 4032, 4724, 9778, 1211, 9381, 5296, 5172, 3660, 2423, 14407, 24401, 4032, 39182, 9957, 4724, 44510, 10721, 20666, 20292, 4724, 1829, 19913, 1211, 50113, 15040, 16490, 1211, 9381, 2655, 9957, 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" في", "probability": 0.861328125}, {"start": 2318.82, "end": 2319.52, "word": " permutation", "probability": 0.952392578125}, {"start": 2319.52, "end": 2319.96, "word": " ما", "probability": 0.775390625}, {"start": 2319.96, "end": 2320.48, "word": " و", "probability": 0.398681640625}, {"start": 2320.48, "end": 2320.82, "word": " بكتب", "probability": 0.8333740234375}, {"start": 2320.82, "end": 2321.0, "word": " على", "probability": 0.5361328125}, {"start": 2321.0, "end": 2321.38, "word": " شكل", "probability": 0.99072265625}, {"start": 2321.38, "end": 2322.14, "word": " cycle", "probability": 0.83740234375}, {"start": 2322.14, "end": 2325.98, "word": " عادة", "probability": 0.9855143229166666}, {"start": 2325.98, "end": 2326.7, "word": " ببدأ", "probability": 0.9612630208333334}, {"start": 2326.7, "end": 2327.22, "word": " بواحد", "probability": 0.8704427083333334}, {"start": 2327.22, "end": 2328.06, "word": " و", "probability": 0.72900390625}, {"start": 2328.06, "end": 2328.54, "word": " بخلص", "probability": 0.98681640625}, {"start": 2328.54, "end": 2328.92, "word": " لفة", "probability": 0.9807942708333334}, {"start": 2328.92, "end": 2329.52, "word": " الواحد", "probability": 0.9817708333333334}, {"start": 2329.52, "end": 2330.72, "word": " و", "probability": 0.379150390625}, {"start": 2330.72, "end": 2330.92, "word": " بعدين", "probability": 0.92724609375}, {"start": 2330.92, "end": 2331.26, "word": " ببدأ", "probability": 0.95361328125}, {"start": 2331.26, "end": 2331.48, "word": " باللي", "probability": 0.67041015625}, {"start": 2331.48, "end": 2331.96, "word": " بيظل", "probability": 0.75146484375}, {"start": 2331.96, "end": 2332.84, "word": " مثلا", "probability": 0.757568359375}, {"start": 2332.84, "end": 2333.66, "word": " خلصتين", "probability": 0.6683837890625}, {"start": 2333.66, "end": 2333.76, "word": " او", "probability": 0.708740234375}, {"start": 2333.76, "end": 2334.02, "word": " تلاتة", "probability": 0.91748046875}, {"start": 2334.02, "end": 2334.34, "word": " مثلا", "probability": 0.922119140625}, {"start": 2334.34, "end": 2334.72, "word": " الأربعة", "probability": 0.6484375}, {"start": 2334.72, "end": 2335.12, "word": " ماكنش", "probability": 0.75830078125}, {"start": 2335.12, "end": 2335.46, "word": " موجود", "probability": 0.9847005208333334}, {"start": 2335.46, "end": 2335.76, "word": " ببدأ", "probability": 0.87890625}, {"start": 2335.76, "end": 2336.34, "word": " بالاربعة", "probability": 0.9100341796875}, {"start": 2336.34, "end": 2336.54, "word": " و", "probability": 0.94287109375}, {"start": 2336.54, "end": 2336.94, "word": " بخلص", "probability": 0.981201171875}, {"start": 2336.94, "end": 2337.24, "word": " لفة", "probability": 0.9886067708333334}, {"start": 2337.24, "end": 2337.76, "word": " الأربعة", "probability": 0.9278971354166666}, {"start": 2337.76, "end": 2338.32, "word": " و", "probability": 0.90283203125}, {"start": 2338.32, "end": 2338.76, "word": " هكذا", "probability": 0.9485677083333334}, {"start": 2338.76, "end": 2340.04, "word": " طب", "probability": 0.78271484375}, {"start": 2340.04, "end": 2340.46, "word": " واحد", "probability": 0.95654296875}, {"start": 2340.46, "end": 2341.02, "word": " مابدأش", "probability": 0.7751953125}, {"start": 2341.02, "end": 2341.42, "word": " بالواحد", "probability": 0.9895833333333334}, {"start": 2341.42, "end": 2341.72, "word": " بدأ", "probability": 0.6724853515625}, {"start": 2341.72, "end": 2342.22, "word": " بالسبعة", "probability": 0.9500325520833334}, {"start": 2342.22, "end": 2343.72, "word": " هيحصل", "probability": 0.768798828125}, {"start": 2343.72, "end": 2343.88, "word": " على", "probability": 0.8154296875}, {"start": 2343.88, "end": 2344.2, "word": " لفة", "probability": 0.9921875}, {"start": 2344.2, "end": 2344.64, "word": " السبعة", "probability": 0.9264322916666666}], "temperature": 1.0}, {"id": 84, "seek": 237121, "start": 2346.21, "end": 2371.21, "text": "و بعدين هييجي الواحد في لفته الجديدة بصار مثلا عندي بدأ لفة الواحد و بعدين لفة السابعة بهذا الشكل واحد بدأ بالسبعة فأجت معا لفة السابعة و لفة الواحد فهي نفس ال permutation بس إن كانت مكان ضيقة طب إيش ال ..", "tokens": [2407, 39182, 9957, 39896, 1829, 7435, 1829, 2423, 14407, 24401, 8978, 5296, 5172, 47395, 25724, 16254, 41891, 4724, 9381, 9640, 50113, 15040, 18871, 16254, 47525, 10721, 5296, 5172, 3660, 2423, 14407, 24401, 4032, 39182, 9957, 5296, 5172, 3660, 21136, 16758, 27884, 39627, 15730, 25124, 28820, 36764, 24401, 47525, 10721, 20666, 35457, 27884, 6156, 10721, 7435, 2655, 20449, 995, 5296, 5172, 3660, 21136, 16758, 27884, 4032, 5296, 5172, 3660, 2423, 14407, 24401, 6156, 3224, 1829, 8717, 36178, 2423, 4784, 11380, 4724, 3794, 36145, 25961, 2655, 3714, 41361, 48812, 1829, 28671, 23032, 3555, 11933, 1829, 8592, 2423, 4386], "avg_logprob": -0.22777062347254803, "compression_ratio": 1.8638743455497382, "no_speech_prob": 0.0, "words": [{"start": 2346.21, "end": 2346.35, "word": "و", "probability": 0.365234375}, {"start": 2346.35, "end": 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0.84228515625}, {"start": 2495.29, "end": 2495.45, "word": " هي", "probability": 0.8310546875}, {"start": 2495.45, "end": 2495.75, "word": " واحد", "probability": 0.963623046875}, {"start": 2495.75, "end": 2496.01, "word": " اتنين", "probability": 0.9727783203125}, {"start": 2496.01, "end": 2496.31, "word": " تلات", "probability": 0.978515625}, {"start": 2496.31, "end": 2496.63, "word": " اربع", "probability": 0.8946940104166666}, {"start": 2496.63, "end": 2496.93, "word": " لاند", "probability": 0.5322265625}, {"start": 2496.93, "end": 2497.13, "word": " ان", "probability": 0.587890625}, {"start": 2497.13, "end": 2497.81, "word": " هرتبه", "probability": 0.74407958984375}, {"start": 2497.81, "end": 2498.19, "word": " بالشكل", "probability": 0.9850260416666666}, {"start": 2498.19, "end": 2498.67, "word": " التالي", "probability": 0.94384765625}, {"start": 2498.67, "end": 2499.67, "word": " a", "probability": 0.8056640625}, {"start": 2499.67, "end": 2500.13, "word": " واحد", "probability": 0.855712890625}, {"start": 2500.13, "end": 2500.75, "word": " a", "probability": 0.9140625}, {"start": 2500.75, "end": 2501.11, "word": " تنين", "probability": 0.8644205729166666}], "temperature": 1.0}, {"id": 89, "seek": 251981, "start": 2501.75, "end": 2519.81, "text": "ام بي واحد بيتنين بي ان والباقي ما هو احيانا مثلا انت واخدنا ال cycles مااخدش كل العناصر يعني هدول مثلا الالفة", "tokens": [10943, 4724, 1829, 36764, 24401, 4724, 36081, 1863, 9957, 4724, 1829, 16472, 16070, 3555, 995, 38436, 19446, 31439, 1975, 5016, 1829, 7649, 995, 50113, 15040, 16472, 2655, 4032, 47283, 3215, 8315, 2423, 17796, 19446, 47283, 3215, 8592, 28242, 18863, 1863, 33546, 2288, 37495, 22653, 8032, 3215, 12610, 50113, 15040, 2423, 6027, 5172, 3660], "avg_logprob": -0.3133680494847121, "compression_ratio": 1.5078125, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 2501.75, "end": 2502.25, "word": "ام", "probability": 0.27685546875}, {"start": 2502.25, "end": 2503.59, "word": " بي", "probability": 0.5252685546875}, {"start": 2503.59, "end": 2504.01, "word": " واحد", "probability": 0.93359375}, {"start": 2504.01, "end": 2505.13, "word": " بيتنين", "probability": 0.8267822265625}, {"start": 2505.13, "end": 2506.19, "word": " بي", "probability": 0.63037109375}, {"start": 2506.19, "end": 2506.45, "word": " ان", "probability": 0.370849609375}, {"start": 2506.45, "end": 2507.59, "word": " والباقي", "probability": 0.8770751953125}, {"start": 2507.59, "end": 2512.63, "word": " ما", "probability": 0.295166015625}, {"start": 2512.63, "end": 2512.87, "word": " هو", "probability": 0.9306640625}, {"start": 2512.87, "end": 2513.71, "word": " احيانا", "probability": 0.8859375}, {"start": 2513.71, "end": 2514.71, "word": " مثلا", "probability": 0.7218017578125}, {"start": 2514.71, "end": 2514.85, "word": " انت", "probability": 0.55181884765625}, {"start": 2514.85, "end": 2515.23, "word": " واخدنا", "probability": 0.9111328125}, {"start": 2515.23, "end": 2515.33, "word": " ال", "probability": 0.492431640625}, {"start": 2515.33, "end": 2515.67, "word": " cycles", "probability": 0.578125}, {"start": 2515.67, "end": 2516.13, "word": " مااخدش", "probability": 0.8509521484375}, {"start": 2516.13, "end": 2516.29, "word": " كل", "probability": 0.96630859375}, {"start": 2516.29, "end": 2516.95, "word": " العناصر", "probability": 0.92236328125}, {"start": 2516.95, "end": 2517.21, "word": " يعني", "probability": 0.845458984375}, {"start": 2517.21, "end": 2517.45, "word": " هدول", "probability": 0.6931966145833334}, {"start": 2517.45, "end": 2517.83, "word": " مثلا", "probability": 0.9775390625}, {"start": 2517.83, "end": 2519.81, "word": " الالفة", "probability": 0.77069091796875}], "temperature": 1.0}, {"id": 90, "seek": 254961, "start": 2520.43, "end": 2549.61, "text": "بتاخد لفة من ال A1 لعندي ال AM والباقي بالنسبة لل alpha بيروحوا لنفسهم ال beta بتاخد لفة ال B والباقي بالنسبة ل beta اشمالهم لنفسهم طبعا هدول العناصر اللي هم بالنسبة لل alpha و بالنسبة لل beta ثابتين we will show that alpha beta بتساوي beta alpha", "tokens": [3555, 2655, 47283, 3215, 5296, 5172, 3660, 9154, 2423, 316, 16, 5296, 3615, 1863, 16254, 2423, 6475, 16070, 3555, 995, 38436, 20666, 1863, 35457, 3660, 24976, 8961, 4724, 1829, 32887, 5016, 14407, 5296, 1863, 36178, 16095, 2423, 9861, 39894, 47283, 3215, 5296, 5172, 3660, 2423, 363, 16070, 3555, 995, 38436, 20666, 1863, 35457, 3660, 5296, 9861, 1975, 8592, 2304, 6027, 16095, 5296, 1863, 36178, 16095, 23032, 3555, 3615, 995, 8032, 3215, 12610, 18863, 1863, 33546, 2288, 13672, 1829, 8032, 2304, 20666, 1863, 35457, 3660, 24976, 8961, 4032, 20666, 1863, 35457, 3660, 24976, 9861, 38637, 16758, 2655, 9957, 321, 486, 855, 300, 8961, 9861, 39894, 3794, 995, 45865, 9861, 8961], "avg_logprob": -0.2318181801926006, "compression_ratio": 1.969387755102041, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2520.43, "end": 2520.89, "word": "بتاخد", "probability": 0.73626708984375}, {"start": 2520.89, "end": 2521.83, "word": " لفة", "probability": 0.9420572916666666}, {"start": 2521.83, "end": 2522.03, "word": " من", "probability": 0.72216796875}, {"start": 2522.03, "end": 2522.25, "word": " ال", "probability": 0.791015625}, {"start": 2522.25, "end": 2522.53, "word": " A1", "probability": 0.6280517578125}, {"start": 2522.53, "end": 2522.89, "word": " لعندي", "probability": 0.49664306640625}, {"start": 2522.89, "end": 2523.01, "word": " ال", "probability": 0.9345703125}, {"start": 2523.01, "end": 2523.31, "word": " AM", "probability": 0.61572265625}, {"start": 2523.31, "end": 2524.15, "word": " والباقي", "probability": 0.7685546875}, {"start": 2524.15, "end": 2524.65, "word": " بالنسبة", "probability": 0.9815673828125}, {"start": 2524.65, "end": 2524.81, "word": " لل", "probability": 0.8193359375}, {"start": 2524.81, "end": 2525.23, "word": " alpha", "probability": 0.45703125}, {"start": 2525.23, "end": 2526.11, "word": " بيروحوا", "probability": 0.7861328125}, {"start": 2526.11, "end": 2526.65, "word": " لنفسهم", "probability": 0.952880859375}, {"start": 2526.65, "end": 2527.41, "word": " ال", "probability": 0.7529296875}, {"start": 2527.41, "end": 2527.77, "word": " beta", "probability": 0.833984375}, {"start": 2527.77, "end": 2528.77, "word": " بتاخد", "probability": 0.9259440104166666}, {"start": 2528.77, "end": 2529.19, "word": " لفة", "probability": 0.9930013020833334}, {"start": 2529.19, "end": 2529.33, "word": " ال", "probability": 0.8681640625}, {"start": 2529.33, "end": 2529.55, "word": " B", "probability": 0.8779296875}, {"start": 2529.55, "end": 2530.83, "word": " والباقي", "probability": 0.8870849609375}, {"start": 2530.83, "end": 2531.27, "word": " بالنسبة", "probability": 0.9942626953125}, {"start": 2531.27, "end": 2531.35, "word": " ل", "probability": 0.7060546875}, {"start": 2531.35, "end": 2531.55, "word": " beta", "probability": 0.755859375}, {"start": 2531.55, "end": 2532.27, "word": " اشمالهم", "probability": 0.714892578125}, {"start": 2532.27, "end": 2533.71, "word": " لنفسهم", "probability": 0.911376953125}, {"start": 2533.71, "end": 2534.43, "word": " طبعا", "probability": 0.978759765625}, {"start": 2534.43, "end": 2534.81, "word": " هدول", "probability": 0.8564453125}, {"start": 2534.81, "end": 2535.63, "word": " العناصر", "probability": 0.7618408203125}, {"start": 2535.63, "end": 2535.79, "word": " اللي", "probability": 0.96826171875}, {"start": 2535.79, "end": 2536.07, "word": " هم", "probability": 0.822021484375}, {"start": 2536.07, "end": 2537.01, "word": " بالنسبة", "probability": 0.989501953125}, {"start": 2537.01, "end": 2537.19, "word": " لل", "probability": 0.85400390625}, {"start": 2537.19, "end": 2537.47, "word": " alpha", "probability": 0.91357421875}, {"start": 2537.47, "end": 2537.59, "word": " و", "probability": 0.62890625}, {"start": 2537.59, "end": 2537.93, "word": " بالنسبة", "probability": 0.95068359375}, {"start": 2537.93, "end": 2538.09, "word": " لل", "probability": 0.78466796875}, {"start": 2538.09, "end": 2538.47, "word": " beta", "probability": 0.94921875}, {"start": 2538.47, "end": 2540.31, "word": " ثابتين", "probability": 0.9345703125}, {"start": 2540.31, "end": 2541.73, "word": " we", "probability": 0.4755859375}, {"start": 2541.73, "end": 2543.41, "word": " will", "probability": 0.912109375}, {"start": 2543.41, "end": 2544.75, "word": " show", "probability": 0.9638671875}, {"start": 2544.75, "end": 2546.17, "word": " that", "probability": 0.9375}, {"start": 2546.17, "end": 2547.37, "word": " alpha", "probability": 0.54248046875}, {"start": 2547.37, "end": 2547.83, "word": " beta", "probability": 0.79931640625}, {"start": 2547.83, "end": 2549.01, "word": " بتساوي", "probability": 0.483154296875}, {"start": 2549.01, "end": 2549.29, "word": " beta", "probability": 0.72802734375}, {"start": 2549.29, "end": 2549.61, "word": " alpha", "probability": 0.91064453125}], "temperature": 1.0}, {"id": 91, "seek": 257548, "start": 2550.5, "end": 2575.48, "text": "شباب انا بتعامل مع مين؟ مع functions إيش يعني؟ يعني Alpha Beta لل X بدي سوى Beta Alpha لل X لكل X في A بس هذه عملية .. عملية composition يعني Alpha Beta لل X بدي سوى Beta لAlpha X ال X في A كم حالة قدامها", "tokens": [8592, 3555, 16758, 1975, 8315, 39894, 3615, 10943, 1211, 20449, 3714, 9957, 22807, 20449, 6828, 11933, 1829, 8592, 37495, 22653, 22807, 37495, 22653, 20588, 33286, 24976, 1783, 4724, 16254, 8608, 2407, 7578, 33286, 20588, 24976, 1783, 5296, 28820, 1783, 8978, 316, 4724, 3794, 29538, 6225, 42213, 10632, 4386, 6225, 42213, 10632, 12686, 37495, 22653, 20588, 33286, 24976, 1783, 4724, 16254, 8608, 2407, 7578, 33286, 5296, 9171, 7211, 1783, 2423, 1783, 8978, 316, 9122, 2304, 11331, 6027, 3660, 12174, 3215, 10943, 11296], "avg_logprob": -0.20865091354381748, "compression_ratio": 1.7011494252873562, "no_speech_prob": 0.0, "words": [{"start": 2550.5, "end": 2550.8, "word": "شباب", "probability": 0.7229410807291666}, {"start": 2550.8, "end": 2550.94, "word": " انا", "probability": 0.783447265625}, {"start": 2550.94, 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"word": " عملية", "probability": 0.9119466145833334}, {"start": 2562.84, "end": 2562.84, "word": " ..", "probability": 0.2490234375}, {"start": 2562.84, "end": 2563.18, "word": " عملية", "probability": 0.9208984375}, {"start": 2563.18, "end": 2563.76, "word": " composition", "probability": 0.78271484375}, {"start": 2563.76, "end": 2564.66, "word": " يعني", "probability": 0.92529296875}, {"start": 2564.66, "end": 2565.06, "word": " Alpha", "probability": 0.9765625}, {"start": 2565.06, "end": 2565.54, "word": " Beta", "probability": 0.92529296875}, {"start": 2565.54, "end": 2566.14, "word": " لل", "probability": 0.86474609375}, {"start": 2566.14, "end": 2566.72, "word": " X", "probability": 0.97412109375}, {"start": 2566.72, "end": 2567.94, "word": " بدي", "probability": 0.985107421875}, {"start": 2567.94, "end": 2568.2, "word": " سوى", "probability": 0.9249674479166666}, {"start": 2568.2, "end": 2568.66, "word": " Beta", "probability": 0.943359375}, {"start": 2568.66, "end": 2569.98, "word": " لAlpha", "probability": 0.8898111979166666}, {"start": 2569.98, "end": 2570.44, "word": " X", "probability": 0.99072265625}, {"start": 2570.44, "end": 2573.54, "word": " ال", "probability": 0.919921875}, {"start": 2573.54, "end": 2573.9, "word": " X", "probability": 0.89501953125}, {"start": 2573.9, "end": 2574.12, "word": " في", "probability": 0.96728515625}, {"start": 2574.12, "end": 2574.34, "word": " A", "probability": 0.3603515625}, {"start": 2574.34, "end": 2574.58, "word": " كم", "probability": 0.892822265625}, {"start": 2574.58, "end": 2574.92, "word": " حالة", "probability": 0.9723307291666666}, {"start": 2574.92, "end": 2575.48, "word": " قدامها", "probability": 0.8724365234375}], "temperature": 1.0}, {"id": 92, "seek": 260325, "start": 2578.01, "end": 2603.25, "text": "تلات حالات يا من ال A يا من ال B يا من ال C Case 1 ال X بتنتمي ل A1 A2 ل A M معناته Alpha Beta لل X اللي Alpha", "tokens": [2655, 1211, 9307, 11331, 6027, 9307, 35186, 9154, 2423, 316, 35186, 9154, 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"word": " بتاخدها", "probability": 0.8741455078125}, {"start": 2779.56, "end": 2779.66, "word": " لل", "probability": 0.669921875}, {"start": 2779.66, "end": 2780.04, "word": " CT", "probability": 0.98388671875}, {"start": 2780.04, "end": 2781.0, "word": " ال", "probability": 0.6474609375}, {"start": 2781.0, "end": 2781.36, "word": " Beta", "probability": 0.94384765625}, {"start": 2781.36, "end": 2781.86, "word": " Alpha", "probability": 0.9560546875}, {"start": 2781.86, "end": 2782.38, "word": " لل", "probability": 0.6796875}, {"start": 2782.38, "end": 2782.82, "word": " X", "probability": 0.96533203125}, {"start": 2782.82, "end": 2783.66, "word": " يعني", "probability": 0.943359375}, {"start": 2783.66, "end": 2784.1, "word": " Beta", "probability": 0.9267578125}, {"start": 2784.1, "end": 2784.58, "word": " ل", "probability": 0.869140625}, {"start": 2784.58, "end": 2784.9, "word": " Alpha", "probability": 0.619140625}, {"start": 2784.9, "end": 2785.12, "word": " ال", "probability": 0.6708984375}, {"start": 2785.12, "end": 2785.52, "word": " CT", "probability": 0.974609375}, {"start": 2785.52, "end": 2787.8, "word": " يعني", "probability": 0.930908203125}, {"start": 2787.8, "end": 2788.3, "word": " عبارة", "probability": 0.98681640625}, {"start": 2788.3, "end": 2789.06, "word": " عن", "probability": 0.98876953125}, {"start": 2789.06, "end": 2794.84, "word": " عبارة", "probability": 0.818603515625}, {"start": 2794.84, "end": 2795.1, "word": " عن", "probability": 0.98876953125}, {"start": 2795.1, "end": 2795.52, "word": " Beta", "probability": 0.96044921875}, {"start": 2795.52, "end": 2797.36, "word": " لل", "probability": 0.814453125}, {"start": 2797.36, "end": 2797.86, "word": " CT", "probability": 0.9873046875}], "temperature": 1.0}, {"id": 100, "seek": 282332, "start": 2798.9, "end": 2823.32, "text": "و ال beta هتاخد ال ct لمن؟ و مافيه بينهم ايه بقى في كل الحالات عندي مساواة و بالتالي alpha beta ل ال x بدت ساوة beta alpha ل ال x لكل x في a و بالتالي alpha beta بدت ساوة beta alpha و هو المطلوب و هذه نهاية النظرية", "tokens": [2407, 2423, 9861, 8032, 2655, 47283, 3215, 2423, 269, 83, 5296, 27842, 22807, 4032, 19446, 41185, 3224, 49374, 16095, 1975, 1829, 3224, 4724, 4587, 7578, 8978, 28242, 21542, 6027, 9307, 18871, 16254, 47524, 995, 14407, 3660, 4032, 20666, 2655, 6027, 1829, 8961, 9861, 5296, 2423, 2031, 47525, 2655, 8608, 995, 2407, 3660, 9861, 8961, 5296, 2423, 2031, 5296, 28820, 2031, 8978, 257, 4032, 20666, 2655, 6027, 1829, 8961, 9861, 47525, 2655, 8608, 995, 2407, 3660, 9861, 8961, 4032, 31439, 9673, 9566, 1211, 37746, 4032, 29538, 8717, 11296, 10632, 28239, 19913, 2288, 10632], "avg_logprob": -0.2847782399064751, "compression_ratio": 1.936046511627907, "no_speech_prob": 0.0, "words": [{"start": 2798.9, "end": 2799.12, "word": "و", "probability": 0.6318359375}, {"start": 2799.12, "end": 2799.2, "word": " ال", "probability": 0.408203125}, {"start": 2799.2, "end": 2799.34, "word": " beta", "probability": 0.62744140625}, {"start": 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2806.42, "end": 2806.94, "word": " عندي", "probability": 0.67919921875}, {"start": 2806.94, "end": 2808.42, "word": " مساواة", "probability": 0.8675537109375}, {"start": 2808.42, "end": 2809.52, "word": " و", "probability": 0.2880859375}, {"start": 2809.52, "end": 2810.12, "word": " بالتالي", "probability": 0.8907470703125}, {"start": 2810.12, "end": 2810.76, "word": " alpha", "probability": 0.483154296875}, {"start": 2810.76, "end": 2811.18, "word": " beta", "probability": 0.89306640625}, {"start": 2811.18, "end": 2811.72, "word": " ل", "probability": 0.71875}, {"start": 2811.72, "end": 2811.94, "word": " ال", "probability": 0.529296875}, {"start": 2811.94, "end": 2812.18, "word": " x", "probability": 0.61962890625}, {"start": 2812.18, "end": 2812.48, "word": " بدت", "probability": 0.48193359375}, {"start": 2812.48, "end": 2812.76, "word": " ساوة", "probability": 0.71514892578125}, {"start": 2812.76, "end": 2813.12, "word": " beta", "probability": 0.81640625}, {"start": 2813.12, "end": 2813.44, "word": " alpha", "probability": 0.75830078125}, {"start": 2813.44, "end": 2813.6, "word": " ل", "probability": 0.88818359375}, {"start": 2813.6, "end": 2813.76, "word": " ال", "probability": 0.8037109375}, {"start": 2813.76, "end": 2814.16, "word": " x", "probability": 0.88720703125}, {"start": 2814.16, "end": 2814.76, "word": " لكل", "probability": 0.858642578125}, {"start": 2814.76, "end": 2815.12, "word": " x", "probability": 0.94873046875}, {"start": 2815.12, "end": 2815.32, "word": " في", "probability": 0.94775390625}, {"start": 2815.32, "end": 2815.6, "word": " a", "probability": 0.80615234375}, {"start": 2815.6, "end": 2816.44, "word": " و", "probability": 0.72314453125}, {"start": 2816.44, "end": 2817.36, "word": " بالتالي", "probability": 0.9786376953125}, {"start": 2817.36, "end": 2817.88, "word": " alpha", "probability": 0.86083984375}, {"start": 2817.88, "end": 2818.2, "word": " beta", "probability": 0.96337890625}, {"start": 2818.2, "end": 2818.52, "word": " بدت", "probability": 0.912109375}, {"start": 2818.52, "end": 2818.84, "word": " ساوة", "probability": 0.96435546875}, {"start": 2818.84, "end": 2819.12, "word": " beta", "probability": 0.94287109375}, {"start": 2819.12, "end": 2819.58, "word": " alpha", "probability": 0.93896484375}, {"start": 2819.58, "end": 2820.54, "word": " و", "probability": 0.650390625}, {"start": 2820.54, "end": 2820.8, "word": " هو", "probability": 0.91845703125}, {"start": 2820.8, "end": 2821.76, "word": " المطلوب", "probability": 0.96044921875}, {"start": 2821.76, "end": 2822.2, "word": " و", "probability": 0.5341796875}, {"start": 2822.2, "end": 2822.38, "word": " هذه", "probability": 0.57373046875}, {"start": 2822.38, "end": 2822.78, "word": " نهاية", "probability": 0.9500325520833334}, {"start": 2822.78, "end": 2823.32, "word": " النظرية", "probability": 0.768798828125}], "temperature": 1.0}, {"id": 101, "seek": 283602, "start": 2823.86, "end": 2836.02, "text": "خمسة اتنين ان شاء الله في المحاضرة التانية اللى هناخدها اليوم من اتناشر الواحدة ان شاء الله هناخدها في المحاضرة التانية من اتناشر الواحدة تكملة ال chapter هنحاول ننهيه ان شاء الله يعطيكوا الافراح", "tokens": [9778, 2304, 3794, 3660, 1975, 2655, 1863, 9957, 16472, 13412, 16606, 21984, 8978, 9673, 5016, 46958, 25720, 16712, 7649, 10632, 13672, 7578, 8032, 1863, 47283, 3215, 11296, 45595, 20498, 9154, 1975, 2655, 1863, 33599, 2288, 2423, 14407, 24401, 3660, 16472, 13412, 16606, 21984, 8032, 1863, 47283, 3215, 11296, 8978, 9673, 5016, 46958, 25720, 16712, 7649, 10632, 9154, 1975, 2655, 1863, 33599, 2288, 2423, 14407, 24401, 3660, 6055, 24793, 37977, 2423, 7187, 8032, 1863, 5016, 995, 12610, 8717, 1863, 3224, 1829, 3224, 16472, 13412, 16606, 21984, 37495, 9566, 1829, 4117, 14407, 2423, 31845, 23557, 5016], "avg_logprob": -0.15032894234908253, "compression_ratio": 2.1739130434782608, "no_speech_prob": 2.199411392211914e-05, "words": [{"start": 2823.86, "end": 2824.36, "word": "خمسة", "probability": 0.86083984375}, {"start": 2824.36, "end": 2824.64, "word": " اتنين", "probability": 0.9031982421875}, {"start": 2824.64, "end": 2825.06, "word": " ان", "probability": 0.72802734375}, {"start": 2825.06, "end": 2825.2, "word": " شاء", "probability": 0.961669921875}, {"start": 2825.2, "end": 2825.26, "word": " الله", "probability": 0.947265625}, {"start": 2825.26, "end": 2825.4, "word": " في", "probability": 0.8837890625}, {"start": 2825.4, "end": 2825.84, "word": " المحاضرة", "probability": 0.9866943359375}, {"start": 2825.84, "end": 2826.2, "word": " التانية", "probability": 0.95703125}, {"start": 2826.2, "end": 2826.32, "word": " اللى", "probability": 0.7056884765625}, {"start": 2826.32, "end": 2826.72, "word": " هناخدها", "probability": 0.801953125}, {"start": 2826.72, "end": 2826.92, "word": " اليوم", "probability": 0.9501953125}, {"start": 2826.92, "end": 2827.08, "word": " من", "probability": 0.98291015625}, {"start": 2827.08, "end": 2827.58, "word": " اتناشر", "probability": 0.79912109375}, {"start": 2827.58, "end": 2828.3, "word": " الواحدة", "probability": 0.852783203125}, {"start": 2828.3, "end": 2829.24, "word": " ان", "probability": 0.76806640625}, {"start": 2829.24, "end": 2829.48, "word": " شاء", "probability": 0.9853515625}, {"start": 2829.48, "end": 2829.56, "word": " الله", "probability": 0.939453125}, {"start": 2829.56, "end": 2830.06, "word": " هناخدها", "probability": 0.90537109375}, {"start": 2830.06, "end": 2830.1, "word": " في", "probability": 0.80859375}, {"start": 2830.1, "end": 2830.56, "word": " المحاضرة", "probability": 0.994140625}, {"start": 2830.56, "end": 2830.88, "word": " التانية", "probability": 0.9860026041666666}, {"start": 2830.88, "end": 2831.04, "word": " من", "probability": 0.95849609375}, {"start": 2831.04, "end": 2831.48, "word": " اتناشر", "probability": 0.95185546875}, {"start": 2831.48, "end": 2832.1, "word": " الواحدة", "probability": 0.9794921875}, {"start": 2832.1, "end": 2833.28, "word": " تكملة", "probability": 0.8310546875}, {"start": 2833.28, "end": 2833.44, "word": " ال", "probability": 0.47900390625}, {"start": 2833.44, "end": 2833.72, "word": " chapter", "probability": 0.94091796875}, {"start": 2833.72, "end": 2834.34, "word": " هنحاول", "probability": 0.95615234375}, {"start": 2834.34, "end": 2834.92, "word": " ننهيه", "probability": 0.93154296875}, {"start": 2834.92, "end": 2835.02, "word": " ان", "probability": 0.912109375}, {"start": 2835.02, "end": 2835.2, "word": " شاء", "probability": 0.990966796875}, {"start": 2835.2, "end": 2835.32, "word": " الله", "probability": 0.958984375}, {"start": 2835.32, "end": 2835.76, "word": " يعطيكوا", "probability": 0.82822265625}, {"start": 2835.76, "end": 2836.02, "word": " الافراح", "probability": 0.499969482421875}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2836.7355, "duration_after_vad": 2601.65437499999}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/AWHAVt1fZHw_raw.srt b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/AWHAVt1fZHw_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..06c2b6e149568dc1e2e7088016ef2c14b3a4020b
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/AWHAVt1fZHw_raw.srt
@@ -0,0 +1,1748 @@
+1
+00:00:21,110 --> 00:00:24,390
+السلام عليكم بسم الله الرحمن الرحيم محاضرتنا اليوم
+
+2
+00:00:24,390 --> 00:00:27,610
+ان شاء الله هتكون استكمالا لشبطة خمسة أخر حاجة
+
+3
+00:00:27,610 --> 00:00:30,630
+اتكلمنا عنها المرة الماضية أخدنا مثال اللي هو ال
+
+4
+00:00:30,630 --> 00:00:36,010
+S3 و آخر كلمة كتبناها قولنا ان ال S3 هي نفسها من
+
+5
+00:00:36,010 --> 00:00:42,190
+ال D3 طبعا قولنا ليه طبعا هنثبت هذا الكلام الفكرة
+
+6
+00:00:42,190 --> 00:00:50,330
+في الإثبات أن S3 هي نفسها liked3 احنا كتبنا ال
+
+7
+00:00:50,330 --> 00:00:56,150
+multiplication table لل S3 write the
+
+8
+00:00:56,150 --> 00:01:00,610
+multiplication table
+
+9
+00:01:00,610 --> 00:01:11,110
+of d3 then حاول تعمل يعني مقارنات بين ال two
+
+10
+00:01:11,110 --> 00:01:16,650
+multiplication table then we can show that
+
+11
+00:01:18,600 --> 00:01:25,280
+أن ال identity كانت بقابل مين هاي ال S3 وهي ال D3
+
+12
+00:01:25,280 --> 00:01:30,860
+ال S3 في ال identity بقابل ال R نوت في ال Alpha
+
+13
+00:01:30,860 --> 00:01:39,120
+بقابل مين ال R مي عشيد وفي ال Alpha تغبيع بقابل
+
+14
+00:01:39,120 --> 00:01:45,130
+مينالـ R240 في كان عند الـ Beta وفي الـ Alpha Beta
+
+15
+00:01:45,130 --> 00:01:51,310
+وفي الـ Alpha Beta أو الـ Alpha تغبيق Beta لو
+
+16
+00:01:51,310 --> 00:01:54,230
+اتكلمنا احنا عن الـ DC اللي عبارة عن دوران المثلث
+
+17
+00:01:54,230 --> 00:02:00,710
+ذكرنا المثلث اللي أخدناه كيف كان؟ كان 1 2 3 من أين
+
+18
+00:02:00,710 --> 00:02:06,250
+بيبدأ الـ 1؟ 1 2 3 لو جينا نقول F1
+
+19
+00:02:10,260 --> 00:02:14,640
+ماذا يعني اف واحد؟ انعكاس حول النقطة واحد هصير
+
+20
+00:02:14,640 --> 00:02:20,620
+عبارة عن مين؟ واحد، تلاتة، اتنين، شوف لمين بتقابل
+
+21
+00:02:20,620 --> 00:02:26,080
+حسب الجدول واحد، اتنين، تلاتة، واندي باف في اتنين،
+
+22
+00:02:26,080 --> 00:02:30,340
+انعكاس حولين اتنين، ماذا يحصل معايا؟ هاي اتنين
+
+23
+00:02:30,340 --> 00:02:38,530
+وهاي تلاتة وهاي واحد، وانعكاس اللي هوواحد اتنين
+
+24
+00:02:38,530 --> 00:02:45,330
+تلاتة و ال F تلاتة هاسي معايا بهذا الشكل اللي هو
+
+25
+00:02:45,330 --> 00:02:52,050
+تلاتة اتنين واحد ذكرني ايش كانت ال beta ال beta
+
+26
+00:02:52,050 --> 00:02:56,190
+ايش أخدناها كانت
+
+27
+00:02:56,190 --> 00:03:03,550
+تبع عن ايش كانت اعتقد واحد تلاتة ال
+
+28
+00:03:03,550 --> 00:03:12,100
+beta كانت اللي هوأو جينا هنا ال beta كانت واحد
+
+29
+00:03:12,100 --> 00:03:20,160
+اتنين تلاتة ثبتنا مين فيها ثبتنا الواحد يعني
+
+30
+00:03:20,160 --> 00:03:25,460
+عبارة عن مين الواحد ثابت فغيرنا التاني و التلاتة
+
+31
+00:03:25,460 --> 00:03:33,600
+هي F1 فهذه عبارة عن F1 طب وال alpha beta ايش كانت
+
+32
+00:03:33,600 --> 00:03:42,630
+كانت عبارة عن1,2,3 بعد ما ضربنا كان الناتج 2,1,3
+
+33
+00:03:42,630 --> 00:03:48,950
+مين اللي اتثبت هان التلاتة يعني هذا عبارة عن أف
+
+34
+00:03:48,950 --> 00:03:53,910
+تلاتة و ال alpha تربيه beta هيكون عبارة عن ايش
+
+35
+00:03:53,910 --> 00:04:03,370
+هنثبت التنين هذه بس مش 1,2,3 1,3,2 و
+
+36
+00:04:03,370 --> 00:04:06,890
+ال alpha تربيه beta هنثبت الواحد هيروح
+
+37
+00:04:20,220 --> 00:04:24,100
+بنفس الطريقة لو بنشتغل على D4
+
+38
+00:04:32,950 --> 00:04:38,090
+عدد عناصر ال D4 بدي ساوي تمانية لكن عدد عناصر ال
+
+39
+00:04:38,090 --> 00:04:48,270
+S4 24 فمش تساوي طب مش لا علاقة لأ عناصر اللي هنا
+
+40
+00:04:48,270 --> 00:04:53,070
+هدول R0 R90 R270 إلى آخرها وهدول عبارة عن
+
+41
+00:04:53,070 --> 00:04:56,750
+permutationان انا بدي اتكلم عن ان كله علاقة جزية و
+
+42
+00:04:56,750 --> 00:05:01,630
+لأ مش صحيح لكن في نوع من ايش من التشابه ان عناصر
+
+43
+00:05:01,630 --> 00:05:06,530
+ال D4 بيقابلوا عناصر وين في ال S4 ال D4 عبارة عن
+
+44
+00:05:06,530 --> 00:05:16,630
+ايش ال R0 ال R90 ال R80 180 ال R270 و مين عندى
+
+45
+00:05:16,630 --> 00:05:23,590
+كمانH وD وD
+
+46
+00:05:23,590 --> 00:05:35,330
+وD وD شرطة طيب لو اتكلمنا عن ال R تسعين تساشر
+
+47
+00:05:35,330 --> 00:05:39,970
+ان ال D فور مبارح عن ايش دورانات و عكسات وين في
+
+48
+00:05:39,970 --> 00:05:44,170
+المربع لو انا بدأت المربع بهذا الشكل واحد اتنين
+
+49
+00:05:44,170 --> 00:05:51,270
+تلاتة اربعةوR90 يعني دوران بزاوية 90 درجة عكس
+
+50
+00:05:51,270 --> 00:05:56,970
+عقارب الساعة السماعية 1 2 3 4 يعني انا اتكلمت انا
+
+51
+00:05:56,970 --> 00:06:05,230
+ك permutation 1 2 3 4 الواحد ايش صار مكانه الواحد
+
+52
+00:06:05,230 --> 00:06:09,850
+لمين راح؟ للاربع الاتنين
+
+53
+00:06:11,790 --> 00:06:16,370
+هذه اتنين ايه صار مكان اتنين صار مكان واحد التلاتة
+
+54
+00:06:16,370 --> 00:06:28,350
+صار اتنين والاربع للتلاتة خدلي هذه Alpha هو
+
+55
+00:06:28,350 --> 00:06:33,810
+شوية بس لأ احنا اخطأنا في ال .. في ال .. في ال ..
+
+56
+00:06:34,060 --> 00:06:38,500
+في الدورانات هو الواحد هي مكانه و صار مدال مين
+
+57
+00:06:38,500 --> 00:06:43,200
+الواحد انتقل وين مكانه كان مكانه هنا لما انتقل صار
+
+58
+00:06:43,200 --> 00:06:47,520
+مكان مين الاتنين فالواحد انتقل للاتنين الاتنين
+
+59
+00:06:47,520 --> 00:06:52,260
+انتقل لمين للتلاتة التلاتة انتقل للاربع والاربع
+
+60
+00:06:52,260 --> 00:06:56,200
+انتقل لمين لا
+
+61
+00:06:56,200 --> 00:07:07,800
+لا باتكلم على هنا بس طيب الالفتربيع R180
+
+62
+00:07:07,800 --> 00:07:20,280
+الف تكئيب R90 الف تكئيب R270 الف اص اربعة ال
+
+63
+00:07:20,280 --> 00:07:22,400
+identity
+
+64
+00:07:23,340 --> 00:07:28,080
+البصارة عندك اول اربع عناصر في ال D4 مثلتوا انا
+
+65
+00:07:28,080 --> 00:07:33,140
+بمين؟ بالفة والفة تربية والفة تكعيب ومين؟ وال
+
+66
+00:07:33,140 --> 00:07:39,840
+identity ناخد مثلا ال beta بهذا الشكل ونشوف ايش
+
+67
+00:07:39,840 --> 00:07:45,420
+بتمثلي في المربع واحد اتنين تلاتة اربعة اتنين واحد
+
+68
+00:07:45,420 --> 00:07:49,000
+اربعة تلاتة يعني
+
+69
+00:07:52,190 --> 00:07:57,990
+هى واحد هى اتنين هى تلاتة هى اربعة اصبر
+
+70
+00:07:57,990 --> 00:08:04,710
+شوية بس ايش صارت الواحد انتقل لمين الواحد انتقل
+
+71
+00:08:04,710 --> 00:08:09,270
+للتنين والتنين انتقل للواحد التلاتة والاربعة
+
+72
+00:08:09,270 --> 00:08:17,530
+اتبدلوا يعني هذا لانعكاس انعكاس horizontal ليه مين
+
+73
+00:08:17,530 --> 00:08:25,920
+H يعني هذه بتمثل مينالـ H طبعا ال beta تربيع
+
+74
+00:08:25,920 --> 00:08:31,000
+هيعطينا ال identity بنفس الطريقة في عندي Alpha
+
+75
+00:08:31,000 --> 00:08:38,900
+Beta و Alpha تربية Beta و Alpha تكريب Beta كل
+
+76
+00:08:38,900 --> 00:08:45,600
+واحدة هتمثللي حاجة من هدول طبعا
+
+77
+00:08:45,600 --> 00:08:49,060
+بإمكانك تحسبهم Calculate
+
+78
+00:08:52,900 --> 00:09:03,620
+المحصلة ان ال D4 بتشابه ال identity Alpha Alpha
+
+79
+00:09:03,620 --> 00:09:09,180
+تربيه Alpha تكييب Alpha Beta Alpha تربيه Beta
+
+80
+00:09:09,180 --> 00:09:13,080
+Alpha تكييب Beta طبعا ال Alpha Beta والAlpha تربيه
+
+81
+00:09:13,080 --> 00:09:17,820
+Beta والAlpha تكييب Beta هيمثلوا أحد اللي هو ال V
+
+82
+00:09:17,820 --> 00:09:20,780
+والD والD شاطة
+
+83
+00:09:24,720 --> 00:09:37,920
+8 انا ناسي احط ال beta هدول
+
+84
+00:09:37,920 --> 00:09:44,320
+جزء من ال S4 مش ال S4 يعني هدى قدامي لما ناخدوا
+
+85
+00:09:44,320 --> 00:09:49,940
+isomorphism هسينا نتعامل مع ال DN as a copy of
+
+86
+00:09:49,940 --> 00:09:57,290
+subgroup of SNال DN هتصير copy ل sub group ال SN
+
+87
+00:09:57,290 --> 00:10:05,730
+طبعا سؤال ال DN اشمالها not abelian وهي بتشابه جزء
+
+88
+00:10:05,730 --> 00:10:09,770
+من ال SN من هذا المنطلق بتقدر تقول ان ال SN
+
+89
+00:10:09,770 --> 00:10:15,250
+اشمالها not abelian تكون ال SN not abelian
+
+90
+00:10:27,870 --> 00:10:37,850
+cycle notation موضوع
+
+91
+00:10:37,850 --> 00:10:41,110
+ال cycle notation شباب له يعني بعض الأهميات
+
+92
+00:10:41,110 --> 00:10:47,230
+الأهمية الأولىإنه أنا بإمكاني أسهل طريقة الكتابة
+
+93
+00:10:47,230 --> 00:10:51,790
+بدل ما أكتب سطرين و احد اتنين تلاتة اربع لأنه
+
+94
+00:10:51,790 --> 00:10:54,290
+وبعدين اشهر الواحد لمين بيروح و التاني لمين بيروح
+
+95
+00:10:54,290 --> 00:11:01,530
+بإمكاني اكتبها بطريقة مختصرة الأهمية التانية من
+
+96
+00:11:01,530 --> 00:11:05,510
+خلال الكتابة هذه بقدر احدد ال order بشكل سهل من
+
+97
+00:11:05,510 --> 00:11:10,360
+دون ماروح انا اقول انهأدروا في نفس مرة و مرتين أو
+
+98
+00:11:10,360 --> 00:11:15,240
+تلاتة عشان أصل ال order شغل تالتة بتفيدني في عملية
+
+99
+00:11:15,240 --> 00:11:21,860
+إيجاد ال cyclic subgroup من ال SN طبعا ال SN مش
+
+100
+00:11:21,860 --> 00:11:27,240
+abelian زي ما قلنا وبالتالي لما أبدأ أتعامل مع
+
+101
+00:11:27,240 --> 00:11:33,070
+subgroup منها و أشوف ال cyclic subgroupلأ مش قصة
+
+102
+00:11:33,070 --> 00:11:36,070
+أصعب، المعنى .. ال .. ال .. لما تكون ال group مش
+
+103
+00:11:36,070 --> 00:11:40,150
+abelian و بدي أتعامل معاها داخليا فالأفضل أتعامل
+
+104
+00:11:40,150 --> 00:11:44,910
+مع مين؟ مع الحاجات اللي التعامل معاها أسهل، الأسهل
+
+105
+00:11:44,910 --> 00:11:50,210
+في التعامل هو ال abelian ثم أكثر سهولة ليه و مين؟
+
+106
+00:11:50,210 --> 00:11:57,240
+ال cycle شغل يعني تاني احنا قولنا عن ال orderبصي
+
+107
+00:11:57,240 --> 00:12:04,860
+عندى سهولة فى حسابه فى عملية الضرب عشان اعرف انه
+
+108
+00:12:04,860 --> 00:12:07,980
+هل alpha فى beta بتساوي beta فى alpha و الله
+
+109
+00:12:07,980 --> 00:12:11,640
+مابتساويش ال cyclic notation او ال cycle notation
+
+110
+00:12:11,640 --> 00:12:17,880
+بريحني الفكرة هان كانت تالى لو انا خدت alpha بهذا
+
+111
+00:12:17,880 --> 00:12:24,180
+الشكل واحد اتنين تلاتة اربعة خمسة ستة سبعة نكبرها
+
+112
+00:12:24,180 --> 00:12:25,140
+مثلا لتمانية
+
+113
+00:12:30,110 --> 00:12:34,090
+خلّي الواحد يروح للتنين التنين للسبعة والتلاتة
+
+114
+00:12:34,090 --> 00:12:40,630
+للخمسة والاربعة للواحد والخمسة للستة والستة
+
+115
+00:12:40,630 --> 00:12:45,050
+للتمانية وخلّي السبعة يروح للتلاتة والتمانية يروح
+
+116
+00:12:45,050 --> 00:12:51,950
+للاربعة لو أنا هادي permutation لو أنا بدي أروح
+
+117
+00:12:51,950 --> 00:12:56,190
+أسهلها في ال cycle notation بمكاني أقول التالي
+
+118
+00:12:56,190 --> 00:13:04,290
+أفتح جوسأبدأ بالواحد الواحد لمن بيروح؟ للتانين
+
+119
+00:13:04,290 --> 00:13:10,150
+باجع التانين لمن بيروح؟ للسبعة باجع السبعة لمن
+
+120
+00:13:10,150 --> 00:13:17,530
+بتروح؟ للتلاتة طب التلاتة لمن؟ للخمسة باجع الخمسة
+
+121
+00:13:17,530 --> 00:13:23,530
+لمن؟ للستة الستة لمن؟ للتمانية والتمانية لمن؟
+
+122
+00:13:23,530 --> 00:13:29,930
+للأربعةطبعا انا بقدر افهم مباشرة ان الواحد بيروح
+
+123
+00:13:29,930 --> 00:13:35,650
+للتنين التنين للسبعة التلاتة للخمسة الأربعة للواحد
+
+124
+00:13:35,650 --> 00:13:40,790
+الخمسة للستة الستة للتمانية والسبعة للتلاتة
+
+125
+00:13:40,790 --> 00:13:45,030
+والتمانية لمين للاربع يعني بدل ما انا اكتب في هذا
+
+126
+00:13:45,030 --> 00:13:51,070
+الشكل ممكن ان اسهل عملية الكتابة طيب لو كانت زي
+
+127
+00:13:51,070 --> 00:13:51,450
+هيك
+
+128
+00:13:57,220 --> 00:14:01,860
+الواحد لنفسه التنين للتلاتة التلاتة للخمسة
+
+129
+00:14:01,860 --> 00:14:10,620
+والاربعة لل .. والاربعة للتلاتة الخمسة مثلا للتنين
+
+130
+00:14:10,620 --> 00:14:17,400
+الستة للسبعة السبعة للستة والتمانية لنفسه كيف بدي
+
+131
+00:14:17,400 --> 00:14:26,800
+اكتبها ببدأ بالشكل هذا الواحد لمن لنفسه بسكرلأ
+
+132
+00:14:26,800 --> 00:14:31,760
+ماجولش واحد واحد كيف؟
+
+133
+00:14:31,760 --> 00:14:38,400
+مين اللي ناجى صين دي هان؟ الأربعة خلّي التانين
+
+134
+00:14:38,400 --> 00:14:45,400
+للأربعة والأربعة للتلاتة نبدأ بالتانين التانين
+
+135
+00:14:45,400 --> 00:14:52,040
+هتوح لمين؟ للأربعة والأربعة والتلاتة للخمسة الخمسة
+
+136
+00:14:52,040 --> 00:14:58,100
+لمين؟ أنصر موجود معايا بسكرطيب، بعد كده، واحد،
+
+137
+00:14:58,100 --> 00:15:02,020
+اتنين، تلاتة، اربعة، خمسة، خلصتهم، مين بعده؟
+
+138
+00:15:02,020 --> 00:15:07,140
+الستة، لمين؟ السبعة لمين بترجع؟ للستة، والتمانية
+
+139
+00:15:07,140 --> 00:15:16,980
+لمين؟ الجوز اللي فيه عنصر واحد، بلزمنيش،
+
+140
+00:15:16,980 --> 00:15:20,930
+الواحد والتمانية بإمكاني أشماليأشيلهم او بتقلي
+
+141
+00:15:20,930 --> 00:15:24,610
+بفهم انا انه انا عشان الواحد مش موجود و التمانية
+
+142
+00:15:24,610 --> 00:15:40,190
+مش موجود انه يشملهم يروحوا لنفسهم طب تعالي نضغط لو
+
+143
+00:15:40,190 --> 00:15:45,090
+قولت Alpha في Beta عبارة عن ايش؟ واحد اتنين تلاتة
+
+144
+00:15:45,090 --> 00:15:51,570
+اربعة خمسة ستة سبعة تمانيةواحد اتنين تلاتة اربعة
+
+145
+00:15:51,570 --> 00:15:59,390
+خمسة ستة سبعة تمانية و هانا نجّلني اتنين سبعة خمسة
+
+146
+00:15:59,390 --> 00:16:08,870
+واحد ستة تمانية تلاتة اربعة و اللي بعدها واحد
+
+147
+00:16:08,870 --> 00:16:16,930
+اربعة خمسة تلاتة اتنين سبعة ستة تمانية زي ما تعلمت
+
+148
+00:16:16,930 --> 00:16:24,590
+اناواحد، اتنين، تلاتة، اربعة، خمسة، ستة، سبعة،
+
+149
+00:16:24,590 --> 00:16:31,750
+تمانية ببدأ من هنا الواحد لمين؟ للواحد باجي هنا
+
+150
+00:16:31,750 --> 00:16:38,010
+الواحد لمين؟ يجب الواحد للتانين الطينين لمين؟
+
+151
+00:16:38,010 --> 00:16:43,330
+للاربعة والاربعة يجب الطينين للواحد التلاتة لمين؟
+
+152
+00:16:44,030 --> 00:16:48,650
+للخمسة و الخمسة لمن؟ يكبر التلاتة للستة الأربعة
+
+153
+00:16:48,650 --> 00:16:53,650
+للتلاتة و التلاتة للخمسة يكبر الأربعة لمن؟ للخمسة
+
+154
+00:16:53,650 --> 00:16:58,710
+الخمسة للتنين و التنين للسبعة يكبر الخمسة للسبعة
+
+155
+00:16:58,710 --> 00:17:02,950
+الستة للسبعة و السبعة للتلاتة يكبر الستة هتروح
+
+156
+00:17:02,950 --> 00:17:08,690
+لمن؟ للتلاتة السبعة للستة و الستة للتمان يكبر
+
+157
+00:17:08,690 --> 00:17:13,830
+السبعة لمن؟التمانية للتمانية والتمانية للاربعة
+
+158
+00:17:13,830 --> 00:17:18,370
+يكبر التمانية لمن؟ للاربعة اما الacyclic او cycle
+
+159
+00:17:18,370 --> 00:17:23,130
+notation الواحد للتنين والتنين بيرجع للواحد
+
+160
+00:17:23,130 --> 00:17:31,870
+التلاتة للستة والست لمن؟ للتلاتة الأربعة للخمسة
+
+161
+00:17:31,870 --> 00:17:39,090
+والخمسة لمن؟ للسبعة والسبعة لمن؟ للتمانيةطب لاحظ
+
+162
+00:17:39,090 --> 00:17:43,610
+ان انا هنا بدرب مين في الوضع الجديد تبقى السطرين
+
+163
+00:17:43,610 --> 00:17:52,990
+هل بقدر اضرب في الوضع الجديد using cycle notation
+
+164
+00:17:52,990 --> 00:17:59,370
+ال alpha في beta عبارة عن ايش خط ال alpha واحد
+
+165
+00:17:59,370 --> 00:18:10,320
+اتنين سبعة تلاتة خمسة ستة تمانية اربعةالفيتا اتنين
+
+166
+00:18:10,320 --> 00:18:21,820
+اربع تلاتة خمسة ستة سبعة كيف بده اضغط مادام
+
+167
+00:18:21,820 --> 00:18:26,700
+نقدر كيف نضغط ببدأ
+
+168
+00:18:26,700 --> 00:18:33,400
+بنفس الأسلوب الواحد الواحد هلا مين بيروح مش موجودك
+
+169
+00:18:33,400 --> 00:18:39,040
+ولا نفسه بكمل طبعا ببدأ من وين دايمامن البعيد
+
+170
+00:18:39,040 --> 00:18:46,500
+الواحد بيروح هانا لمين؟ لنفسه طيب هانا لنفسه و هان
+
+171
+00:18:46,500 --> 00:18:53,660
+للتانين طيب هانا التانين لمن بيروح؟ لأ هانا هانا
+
+172
+00:18:53,660 --> 00:18:59,660
+هانا باجي هانا؟ باجي الأربع لمن بيرجع؟ للواحد
+
+173
+00:18:59,660 --> 00:19:08,040
+بسكّف تلاتة تلاتة لمن بيروح؟ماشي يكبر تلاتة لتلاتة
+
+174
+00:19:08,040 --> 00:19:15,100
+هنا ل الخمسة يكبر تلاتة لتلاتة ل الخمسة خمسة لستة
+
+175
+00:19:15,100 --> 00:19:23,220
+بسكّن الأربع لمين لنفسه يكبر أربع لأربع يكبر أربع
+
+176
+00:19:23,220 --> 00:19:29,840
+لأربع لتلاتة تلاتة لخمسة يكبر أربع لأربع لتلاتة
+
+177
+00:19:29,840 --> 00:19:38,820
+لخمسة طيبالخمسة خمسة لخمسة خمسة لخمسة لاتنين خمسة
+
+178
+00:19:38,820 --> 00:19:47,420
+لخمسة لاتنين لسبعة طيب السبعة لستة ستة لستة و
+
+179
+00:19:47,420 --> 00:19:54,320
+الستة لمين لتمانية خلصوا خلصوا طلع النتيجة اللي
+
+180
+00:19:54,320 --> 00:19:58,860
+هان و النتيجة اللي هان مين أسهل أتعامل مع الشكل
+
+181
+00:19:58,860 --> 00:20:03,370
+هذا و لا الشكل هذاطيب تعالي نضرب ال beta alpha
+
+182
+00:20:03,370 --> 00:20:08,190
+بالسماء لل cycle عبارة
+
+183
+00:20:08,190 --> 00:20:19,250
+عن 2 4 3 5 في 6 7 في 1 2 7 3 5 6 8 4 نبدأ الواحد
+
+184
+00:20:19,250 --> 00:20:25,070
+لمين بيروح هذا مش السؤال هذا انا بشرح كيف نضرب
+
+185
+00:20:25,070 --> 00:20:29,070
+بالcycle notation يعني هذا بس شرح الطريقة ضمن مثال
+
+186
+00:20:30,370 --> 00:20:34,390
+الواحد لمين بيروح؟ لتنين لتنين يكبر واحد لتنين
+
+187
+00:20:34,390 --> 00:20:41,250
+اتنين لتنين اتنين لمين؟ يكبر واحد لاربع طيب غلط
+
+188
+00:20:41,250 --> 00:20:49,230
+اني اسكت همسك الاربع اربع لمين؟ لواحد واحد لمين؟
+
+189
+00:20:49,230 --> 00:20:53,430
+لنفسه واحد لمين؟ يكبر ديت من الاربع ورجعت لمين؟
+
+190
+00:20:53,430 --> 00:20:58,010
+للواحد طيب
+
+191
+00:20:58,010 --> 00:21:06,060
+تنينتنين لمين؟ لا سبعة سبعة لمين؟ ست لمين؟ لنفسه
+
+192
+00:21:06,060 --> 00:21:11,180
+يكبر تنين لمين؟ لا ستة ستة لتمانية تمانية لنفسه
+
+193
+00:21:11,180 --> 00:21:15,880
+تمانية لنفسه يكبر ستة لتمانية تمانية لأربعة أربعة
+
+194
+00:21:15,880 --> 00:21:20,640
+لنفسه أربعة لتلاتة يكبر تمانية لمين؟ لتلاتة تلاتة
+
+195
+00:21:20,640 --> 00:21:25,940
+لخمسة خمسة لخمسة خمسة لاتنين و بسكر انا حاسيب
+
+196
+00:21:25,940 --> 00:21:30,030
+التلاتة لمين؟تروح للتانية واحد اتنين تلاتة اربعة
+
+197
+00:21:30,030 --> 00:21:35,310
+نبدأ بالخمسة خمسة لستة ستة لسبعة سبعة لنفسه يبقى
+
+198
+00:21:35,310 --> 00:21:42,230
+خمسة لسبعة سبعة خلصه لان سبعة هتروح للتلاتة تلاتة
+
+199
+00:21:42,230 --> 00:21:46,690
+لنفسها تلاتة ترجع لمين ده الخمسة طبعا هذه ممكن
+
+200
+00:21:46,690 --> 00:21:47,670
+اكتبها زي هيك
+
+201
+00:21:55,620 --> 00:22:01,340
+يجب الواحد هتروح لمين؟ للأربعة التانية للستة
+
+202
+00:22:01,340 --> 00:22:08,540
+التلاتة للتانية الأربعة للواحد الخمسة للسبعة الستة
+
+203
+00:22:08,540 --> 00:22:14,200
+للتمانية والسبعة للخمسة والتمانية لمين؟ للتلاتة
+
+204
+00:22:14,200 --> 00:22:20,020
+جرب اعكس و اضغط وشوف هل هيطلع معاك هذا الكلام ولا
+
+205
+00:22:20,020 --> 00:22:26,430
+لأ كيف طلعت من هالهال الواحد لمين بيروح؟ده الاربع
+
+206
+00:22:26,430 --> 00:22:31,190
+ايه واحد ده الاربع طيب التنين كيف ضربت من هال ..
+
+207
+00:22:31,190 --> 00:22:36,990
+من هال لهال بدنا بالواحد واحد لمين لتنين واحد
+
+208
+00:22:36,990 --> 00:22:40,150
+لاتنين اتنين لاتنين يكبر واحد لاتنين لاتنين اتنين
+
+209
+00:22:40,150 --> 00:22:43,710
+لاربع يكبر واحد لاتنين لاتنين لاربع يكبر واحد
+
+210
+00:22:43,710 --> 00:22:47,050
+لاربع نبدأ بالتنين تنين لسبعة
+
+211
+00:22:50,640 --> 00:22:54,820
+عشان يفهم ان واحد لاتنين و التنين راحت للتنين و
+
+212
+00:22:54,820 --> 00:22:58,580
+بعدين التنين في الأخيرة راحت للاربع هي خطوة واحدة
+
+213
+00:22:58,580 --> 00:23:05,020
+بس هو عشان يستوعبها مثلا هنا لو جيت هنا هقول واحد
+
+214
+00:23:05,020 --> 00:23:08,560
+لواحد و بعدين واحد لواحد هيفكرني ان انا كل مرة
+
+215
+00:23:08,560 --> 00:23:12,880
+ببدأ بالواحد ان انا مثلا هنا واحد لواحد و بعدين
+
+216
+00:23:12,880 --> 00:23:16,780
+واحد لواحد و بعدين واحد لاتنين يكبر واحد لاتنين لأ
+
+217
+00:23:16,780 --> 00:23:22,510
+مش شكالفكرة أنه علشان التنين مثلا مش موجودة أو
+
+218
+00:23:22,510 --> 00:23:26,030
+الواحد مش موجودة هنا فبتروح لنفسها فلما أقول واحد
+
+219
+00:23:26,030 --> 00:23:29,290
+لواحد واحد لواحد واحد لاتنين هفكرني دايما ببدأ
+
+220
+00:23:29,290 --> 00:23:37,170
+بمين بالواحد أكمل خلصت من الواحد راحت للاربعة
+
+221
+00:23:37,170 --> 00:23:42,860
+هلجيت الأربعة؟ الأربعة راحت لت ..للواحد و الواحد
+
+222
+00:23:42,860 --> 00:23:45,780
+رجعت للواحد و الواحد رجعت للواحد يقبل محصلة أنها
+
+223
+00:23:45,780 --> 00:23:50,860
+هي الأربعة بترجع لمن؟ للواحد كمل تنين لسبعة سبعة
+
+224
+00:23:50,860 --> 00:23:55,880
+لستة و ستة لنفسها يقبل تنين لستة ستة لتمانية
+
+225
+00:23:55,880 --> 00:23:59,340
+تمانية لنفسها و تمانية لنفسها يقبل ستة و هكذا
+
+226
+00:23:59,340 --> 00:24:04,040
+واضح؟ فضل انا الأربعة راحت للواحد الواحد راحت
+
+227
+00:24:04,040 --> 00:24:08,600
+للواحد و انا في الأخير الأربعة راحت للانزالة وين؟
+
+228
+00:24:08,600 --> 00:24:15,670
+بسلوةشوية بس الواحد راح للاربعة الواحد راح للتانين
+
+229
+00:24:15,670 --> 00:24:20,370
+والتانين راحت للتانين ايش بقى ينتقلت واحد لاتنين
+
+230
+00:24:20,370 --> 00:24:24,250
+والتانين راح للتانين والتانين لمين راح؟ ايش بقاش
+
+231
+00:24:24,250 --> 00:24:29,670
+المحصلة؟ واحد للاربعة اللي بعدها الأربعة لمين
+
+232
+00:24:29,670 --> 00:24:39,590
+راحت؟ الأربعة للواحد والواحد لمين؟ والواحد لمين؟
+
+233
+00:24:39,590 --> 00:24:40,870
+ايش بالاربعة لمين راحت؟
+
+234
+00:24:44,260 --> 00:24:50,980
+مضحك؟ عشان مش موجودك بقى هو محايد،
+
+235
+00:24:50,980 --> 00:24:55,220
+هو مش موجود هنفل لنفسه، مش موجود هنبقى لنفسه
+
+236
+00:25:17,120 --> 00:25:23,740
+ملاحظة ال identity ايش بيساوي ال identity عبارة عن
+
+237
+00:25:23,740 --> 00:25:28,280
+مثلا واحد اتنين تلاتة لعند ان الواحد لواحد اتنين
+
+238
+00:25:28,280 --> 00:25:33,300
+لاتنين تلاتة لتلاتة لان لان يعني واحد اتنين تلاتة
+
+239
+00:25:33,300 --> 00:25:39,640
+بعدين في الآخر لان هذه طريقة كتابة ال identity على
+
+240
+00:25:39,640 --> 00:25:41,720
+شكل cycle
+
+241
+00:25:45,440 --> 00:25:53,380
+theorem خمسة واحد من
+
+242
+00:25:53,380 --> 00:25:59,020
+الأنفا ساعدا غالبية شغل هيكون فيهاش في ال cycle
+
+243
+00:25:59,020 --> 00:26:03,220
+notation أنه أسهل في الكتابة و أسرع في الحسابات
+
+244
+00:26:03,220 --> 00:26:07,760
+theorem خمسة واحد بتقول التالي خلينا نكتبها وبعدين
+
+245
+00:26:07,760 --> 00:26:11,360
+نفهم عن إيش بتكلم every permutation
+
+246
+00:26:16,440 --> 00:26:23,200
+of a finite set طبعا و احنا حصرنا شغلنا من أول ال
+
+247
+00:26:23,200 --> 00:26:35,300
+section في ال finite set a can be written as a
+
+248
+00:26:35,300 --> 00:26:43,920
+cycle or a product of
+
+249
+00:26:43,920 --> 00:26:45,860
+this joint
+
+250
+00:27:05,390 --> 00:27:12,250
+cycles شباب احنا اثناء الشرح اقدرنا نعمل كلام هذا
+
+251
+00:27:12,250 --> 00:27:17,330
+ان اي permutation اشتغلنا عليها في المثال الأمثلة
+
+252
+00:27:17,330 --> 00:27:24,910
+السابقةكنا جادرين نحطها في شكل cycles طبعا ممكن
+
+253
+00:27:24,910 --> 00:27:29,750
+cycle واحدة زي ال alpha او
+
+254
+00:27:29,750 --> 00:27:32,090
+disjoint cycles زي ما اقول disjoint cycles يعني
+
+255
+00:27:32,090 --> 00:27:38,610
+مافيش عناصر مشتركة زي ال beta بنحط التشريع اللي
+
+256
+00:27:38,610 --> 00:27:43,170
+بيقول انه هذا الكلام دائما بقدر اعمله يعني انه
+
+257
+00:27:43,170 --> 00:27:45,930
+عملية ان انا اقدر اكتب cycle notation ال
+
+258
+00:27:45,930 --> 00:27:49,970
+permutationمش فقط خاص في ال alpha و ال beta تبعتي
+
+259
+00:27:49,970 --> 00:27:55,110
+المثال هذا لأ أي permutation على finite set بقدر
+
+260
+00:27:55,110 --> 00:28:01,230
+أعمل هذا الكلام عليه نيجي للإثبات أنا عشان أثبت أن
+
+261
+00:28:01,230 --> 00:28:05,450
+every permutation of a finite set A هاخد واحدة let
+
+262
+00:28:05,450 --> 00:28:14,650
+alpha be a permutation on
+
+263
+00:28:14,650 --> 00:28:23,730
+the setA بيساوي واحد اتنين تلاتة ده عند انا هي انا
+
+264
+00:28:23,730 --> 00:28:31,590
+اخدت permutation على finite ستة طيب
+
+265
+00:28:31,590 --> 00:28:34,730
+حاجات
+
+266
+00:28:34,730 --> 00:28:40,570
+ال permutation عبارة عن ايش نرجع للسجن المحاضر
+
+267
+00:28:40,570 --> 00:28:48,610
+الماضي عبارة عن اقتران اقتران اش بيعملهيبينجل
+
+268
+00:28:48,610 --> 00:28:56,330
+الواحد لقيمة تانية لقيمة تانية تلاتة لقيمة تالتة
+
+269
+00:28:56,330 --> 00:28:56,470
+لقيمة تالتة لقيمة تالتة لقيمة تالتة لقيمة تالتة
+
+270
+00:28:56,470 --> 00:29:00,550
+لقيمة تالتة لقيمة تالتة لقيمة تالتة لقيمة
+
+271
+00:29:00,550 --> 00:29:00,890
+تالتة لقيمة تالتة لقيمة تالتة لقيمة تالتة لقيمة
+
+272
+00:29:00,890 --> 00:29:03,550
+تالتة لقيمة تالتة لقيمة تالتة لقيمة تالتة لقيمة
+
+273
+00:29:03,550 --> 00:29:05,590
+تالتة لقيمة تالتة لقيمة تالتة لقيمة تالتة لقيمة
+
+274
+00:29:05,590 --> 00:29:10,150
+تالتة لقيمة تالتة لقيمة تالتة لقيمة
+
+275
+00:29:10,150 --> 00:29:12,910
+تالتة لقيمة ت
+
+276
+00:29:17,240 --> 00:29:22,600
+الـ alpha هينجل ال 1 ل a1 و ينجل ال a1 alpha a1
+
+277
+00:29:22,600 --> 00:29:28,660
+هيروح ل a2 هينجل ال a2 طبعا لما اقول مثلا ال 1 ل
+
+278
+00:29:28,660 --> 00:29:33,760
+a1 ب alpha يعني لو كنت بقول alpha ال 1 يساوي a1بدي
+
+279
+00:29:33,760 --> 00:29:37,640
+اكمل ال alpha على a1 و اوصل ل a2 يعني انا بدي اقول
+
+280
+00:29:37,640 --> 00:29:43,380
+ال alpha a1 دي ساوي a2 يعني ال alpha الواحد و دي
+
+281
+00:29:43,380 --> 00:29:48,180
+ساوي a2 يعني ال alpha تربيع الواحد و دي ساوي a2
+
+282
+00:29:48,180 --> 00:29:54,800
+طيب كمل ال a2 بال alpha هيروح ل a3 بال alpha ل a4
+
+283
+00:29:54,800 --> 00:30:00,820
+بال alpha ل a5 بس انساش انك تشغل وين يعني في لحظة
+
+284
+00:30:00,820 --> 00:30:07,620
+معينةهترجع لمن؟ للواحد يعني هتبقى لك شغال Alpha
+
+285
+00:30:07,620 --> 00:30:13,720
+مثلا أُس N للواحد، إيش هيساوي؟ إيش يعني؟ يعني مثلا
+
+286
+00:30:13,720 --> 00:30:22,720
+الواحد بيديوح لمن؟ ل A واحد ال A واحد ل A تنين ال
+
+287
+00:30:22,720 --> 00:30:28,480
+A تنين ل A تلاتة لعند من؟ A N اللي هو مين هيكون؟
+
+288
+00:30:29,110 --> 00:30:32,150
+أنا بإمكان أروح ألفها و أقول إن هاد a واحد و هاد
+
+289
+00:30:32,150 --> 00:30:39,610
+مين a and بس في غلط ال and أنا مستعمله الغمسمة
+
+290
+00:30:39,610 --> 00:30:44,770
+ال and مستعمله فبدل ما أقول and هقول مثلا m a and
+
+291
+00:30:44,770 --> 00:30:52,910
+طيب شوية بس دائما
+
+292
+00:30:52,910 --> 00:30:53,890
+بنبدأ بالواحد
+
+293
+00:30:57,290 --> 00:31:04,890
+خلصت عناصر الـ A نضمنش فجأة عناصر الـ A قد تكون
+
+294
+00:31:04,890 --> 00:31:10,930
+خلصة من الـ AM ويمكن ما تخلصش ناخد مثلا بي واحد لا
+
+295
+00:31:10,930 --> 00:31:15,550
+ينتمي لهدول الالفش
+
+296
+00:31:15,550 --> 00:31:20,010
+هتعمل في ال بي واحد هتنجلها ل بي تنين بعدين
+
+297
+00:31:20,010 --> 00:31:24,920
+هتنجلها ل بي تلاتةبعدين هترجع في النهاية ل مين؟ ل
+
+298
+00:31:24,920 --> 00:31:30,540
+B1 يعني ممكن في الآخر يقول B1 تروح ل B2 ل B3 ل
+
+299
+00:31:30,540 --> 00:31:34,600
+B1000 و تجف خلصنا
+
+300
+00:31:35,630 --> 00:31:41,190
+هي نخلصنا خلصوا عناصر ال a فبنجف و بنقول ان ال
+
+301
+00:31:41,190 --> 00:31:47,510
+alpha تبعتنا إبارة عن هدول هدفي هدف مخلصش باخد C1
+
+302
+00:31:47,510 --> 00:31:52,050
+لا ينتمي لا لها دول ولا لها دول بكمل يطلع C1 ع C2
+
+303
+00:31:52,050 --> 00:31:59,960
+لان CT مثلا خلصت هي خلصت مخلصتش بتاخد D1في النهاية
+
+304
+00:31:59,960 --> 00:32:05,060
+لازم تخلص، ليش؟ لأنك بتشغل أنت فين؟ finite set ففي
+
+305
+00:32:05,060 --> 00:32:09,340
+الآخر، قول مثلا نخلصنا عند ال C، هتكون ال A1 لعن
+
+306
+00:32:09,340 --> 00:32:16,360
+ال A M، B1 لعن ال B L، C1 لعن ال C T، وتنساش أنه
+
+307
+00:32:16,360 --> 00:32:22,750
+ولا واحد من هدول هان، ليش؟تبتكلم عن لما أخدت ال P
+
+308
+00:32:22,750 --> 00:32:28,630
+واحد ما أخدتهاش من هنا فجد ما تلف ال P واحد مستحيل
+
+309
+00:32:28,630 --> 00:32:33,950
+تجي لقيمة هنا ايضا ال C واحد انت لا أخدت لا من هنا
+
+310
+00:32:33,950 --> 00:32:37,870
+ولا هنا فجد ما تلف ال C واحد مستحيل تساوي اي A
+
+311
+00:32:37,870 --> 00:32:43,210
+مستحيل تساوي اي P وبالتالي هدولة this joint مش
+
+312
+00:32:43,210 --> 00:32:48,220
+هتلاقي ولا عنصر هنا موجود هنا او موجود هناوبتعني
+
+313
+00:32:48,220 --> 00:32:52,520
+الكلام اللي أنا قلته انه اي permutation بقدر
+
+314
+00:32:52,520 --> 00:32:55,640
+اكتبها this joint cycle بقدر اعملها لأي
+
+315
+00:32:55,640 --> 00:33:02,280
+permutation انا باخدها انلخص الكلام هذا بشكل مغتب
+
+316
+00:33:02,280 --> 00:33:06,960
+لقيت؟
+
+317
+00:33:08,530 --> 00:33:13,030
+A1 ينتمي الـ A احنا طبعا عشان نشرح و نبدأ صائم
+
+318
+00:33:13,030 --> 00:33:16,470
+نبدأ بشكل سهل انت ممكن تتصرفي و بدأنا بواحد و
+
+319
+00:33:16,470 --> 00:33:21,130
+روحنا ل A1 و بعدين قولنا AN-1 لو أخدت اي عدد بدل
+
+320
+00:33:21,130 --> 00:33:25,590
+الواحد مقدر اعمل كلام هد عليه let A1 ينتمي ال A
+
+321
+00:33:25,590 --> 00:33:30,090
+then let
+
+322
+00:33:30,090 --> 00:33:37,410
+A2 عبارة عن Alpha A1A3 عبارة عن Alpha A2 يعني
+
+323
+00:33:37,410 --> 00:33:45,530
+Alpha Alpha A1 اللي هو عبارة عن Alpha تغبيه A1 A4
+
+324
+00:33:45,530 --> 00:33:58,190
+هيصير Alpha A3 يعني Alpha تكعيب A1 Complete
+
+325
+00:33:58,190 --> 00:34:01,850
+until
+
+326
+00:34:01,850 --> 00:34:04,130
+we get that
+
+327
+00:34:07,710 --> 00:34:19,610
+A1 بيساوي Alpha أُس M ل A1 This must be happened
+
+328
+00:34:19,610 --> 00:34:32,940
+since A1 Alpha أُس M since the set A is finiteأنا
+
+329
+00:34:32,940 --> 00:34:37,120
+بضلني شغال جوا ال a ألف جواها ا واحد لا اتنين لا
+
+330
+00:34:37,120 --> 00:34:42,360
+اتلاته لا اربع لا عند مثلا ا ام بضلني جواها
+
+331
+00:34:42,360 --> 00:34:55,940
+النتيجة since
+
+332
+00:34:55,940 --> 00:35:01,280
+we must get for some
+
+333
+00:35:04,170 --> 00:35:09,690
+I and J ذات مدام أنا بشرب finite فلازم في لحظة
+
+334
+00:35:09,690 --> 00:35:15,270
+معينة أحصل على تكرار أنه بيصي معايا Alpha I ل A1
+
+335
+00:35:15,270 --> 00:35:22,510
+بيساوي Alpha J ل A1 طبعا تنساش أن ال Alpha one to
+
+336
+00:35:22,510 --> 00:35:29,070
+oneعلى فإينايت 6 فهي Pyjection معناته إلها inverse
+
+337
+00:35:29,070 --> 00:35:32,490
+فانا بقدر أتعامل مع ال inverse بشكل سهل ايك فانا
+
+338
+00:35:32,490 --> 00:35:39,730
+بصير عندي مثلا ال alpha j ناقص ال I عند ال A أو ال
+
+339
+00:35:39,730 --> 00:35:44,770
+I minus ال J عند ال A واحد بيساوي Alpha Zero عند
+
+340
+00:35:44,770 --> 00:35:51,310
+ال A واحد وبالتالي هذا بيعطيني مين A واحد take M
+
+341
+00:35:51,310 --> 00:35:57,060
+بيساوي I minus Jوحطها نجوس وحطها نجوس عشان يكون
+
+342
+00:35:57,060 --> 00:36:05,300
+مابين الجثين جملة اعتراضية بتفسر الكلام هنا we
+
+343
+00:36:05,300 --> 00:36:20,260
+get the cycle اي واحد اتنين لعند مين اي ام طيب
+
+344
+00:36:20,260 --> 00:36:21,200
+choose
+
+345
+00:36:23,540 --> 00:36:34,620
+b1 لا ينتمي ل a1 a2 لا ينتمي ل am بيتنين
+
+346
+00:36:34,620 --> 00:36:41,340
+عبارة عن الف بي واحد بي
+
+347
+00:36:41,340 --> 00:36:46,900
+تلاتة عبارة عن الف تربيه بي واحد until we stop لأن
+
+348
+00:36:46,900 --> 00:36:53,120
+ما ياش manager to get another
+
+349
+00:36:55,780 --> 00:37:05,140
+cycle بي واحد بي تنين لعند بي كي
+
+350
+00:37:05,140 --> 00:37:16,500
+بي تنين لعند بي كي بي تنين لعند بي كي بي تنين لعند
+
+351
+00:37:16,500 --> 00:37:26,420
+بي كي بي تنين لعند بي كي بي تنين لعند بي كيوهو
+
+352
+00:37:26,420 --> 00:37:31,560
+المطلب بنضلنا
+
+353
+00:37:31,560 --> 00:37:37,880
+شغالين لما يخلصوا كل عناصر ال A وبحصل على مين؟
+
+354
+00:37:37,880 --> 00:37:43,180
+disjoint cycles ليش disjoint يا شباب؟ ليش
+
+355
+00:37:43,180 --> 00:37:49,180
+disjoint؟ لأن مافيش عناصر مشتركة بين ال A ولا ال B
+
+356
+00:37:49,180 --> 00:37:50,580
+ولا ال C
+
+357
+00:38:36,020 --> 00:38:40,820
+شباب انا لما باجى باخد في permutation ما و بكتب
+
+358
+00:38:40,820 --> 00:38:45,980
+على شكل cycle عادة
+
+359
+00:38:45,980 --> 00:38:51,480
+ببدأ بواحد و بخلص لفة الواحد و بعدين ببدأ باللي
+
+360
+00:38:51,480 --> 00:38:55,460
+بيظل مثلا خلصتين او تلاتة مثلا الأربعة ماكنش موجود
+
+361
+00:38:55,460 --> 00:39:00,460
+ببدأ بالاربعة و بخلص لفة الأربعة و هكذا طب واحد
+
+362
+00:39:00,460 --> 00:39:06,350
+مابدأش بالواحد بدأ بالسبعة هيحصل على لفة السبعةو
+
+363
+00:39:06,350 --> 00:39:10,610
+بعدين هييجي الواحد في لفته الجديدة بصار مثلا عندي
+
+364
+00:39:10,610 --> 00:39:16,910
+بدأ لفة الواحد و بعدين لفة السابعة بهذا الشكل واحد
+
+365
+00:39:16,910 --> 00:39:23,150
+بدأ بالسبعة فأجت معا لفة السابعة و لفة الواحد فهي
+
+366
+00:39:23,150 --> 00:39:27,730
+نفس ال permutation بس
+
+367
+00:39:27,730 --> 00:39:34,000
+إن كانت مكان ضيقة طب إيش ال ..يعني معناته بدي اقول
+
+368
+00:39:34,000 --> 00:39:37,020
+ان واحد اتنين تلاتة في سبعة ستة خمسة بدي ساوي سبعة
+
+369
+00:39:37,020 --> 00:39:40,800
+ستة خمسة في واحد اتنين تلاتة يعني هو كأنه لو اخدت
+
+370
+00:39:40,800 --> 00:39:45,940
+هذه الف واحد و هذه الف اتنين ايش بقى الف واحد الف
+
+371
+00:39:45,940 --> 00:39:49,320
+اتنين بدي ساوي الف اتنين الف واحد ايش بقى ايش صار
+
+372
+00:39:49,320 --> 00:39:56,040
+صار عملية ابدال بين الف واحد و الف اتنين طيب السبب
+
+373
+00:39:56,040 --> 00:40:03,340
+طلع ل الف واحد و الف اتنين في عناصر مشتركةاللي
+
+374
+00:40:03,340 --> 00:40:07,440
+خلاني اقدر اعمل عملية الابدال ان هم disjoint و هذه
+
+375
+00:40:07,440 --> 00:40:12,560
+نظرية 5-2 ان انا لو بدرب disjoint cycles فانا بقدر
+
+376
+00:40:12,560 --> 00:40:25,720
+اجري العملية بالابدال if alpha بساوي a1 a2 لانت a
+
+377
+00:40:25,720 --> 00:40:35,730
+and and هو حتى مااخدها أنا ام بيتاعبارة عن P1 P2
+
+378
+00:40:35,730 --> 00:40:48,990
+لأن P and R are disjoint cycles then Alpha Beta
+
+379
+00:40:48,990 --> 00:40:51,250
+يتساوى Beta Alpha
+
+380
+00:41:11,730 --> 00:41:19,350
+طيب ده نظرية سهلة تلات اربع دقايق مخلص طيب let
+
+381
+00:41:19,350 --> 00:41:33,210
+alpha and beta be two disjoint cycles on the set a
+
+382
+00:41:33,210 --> 00:41:37,130
+بده تساوي ال a هي واحد اتنين تلات اربع لاند ان
+
+383
+00:41:37,130 --> 00:41:45,130
+هرتبه بالشكل التالي a واحد a تنينام بي واحد بيتنين
+
+384
+00:41:45,130 --> 00:41:52,630
+بي ان والباقي ما
+
+385
+00:41:52,630 --> 00:41:56,290
+هو احيانا مثلا انت واخدنا ال cycles مااخدش كل
+
+386
+00:41:56,290 --> 00:42:02,530
+العناصر يعني هدول مثلا الالفةبتاخد لفة من ال A1
+
+387
+00:42:02,530 --> 00:42:06,110
+لعندي ال AM والباقي بالنسبة لل alpha بيروحوا
+
+388
+00:42:06,110 --> 00:42:11,350
+لنفسهم ال beta بتاخد لفة ال B والباقي بالنسبة ل
+
+389
+00:42:11,350 --> 00:42:16,070
+beta اشمالهم لنفسهم طبعا هدول العناصر اللي هم
+
+390
+00:42:16,070 --> 00:42:23,410
+بالنسبة لل alpha و بالنسبة لل beta ثابتين we will
+
+391
+00:42:23,410 --> 00:42:30,940
+show that alpha beta بتساوي beta alphaشباب انا
+
+392
+00:42:30,940 --> 00:42:35,900
+بتعامل مع مين؟ مع functions إيش يعني؟ يعني Alpha
+
+393
+00:42:35,900 --> 00:42:42,240
+Beta لل X بدي سوى Beta Alpha لل X لكل X في A بس
+
+394
+00:42:42,240 --> 00:42:46,140
+هذه عملية .. عملية composition يعني Alpha Beta لل
+
+395
+00:42:46,140 --> 00:42:53,540
+X بدي سوى Beta لAlpha X ال
+
+396
+00:42:53,540 --> 00:42:55,480
+X في A كم حالة قدامها
+
+397
+00:42:58,010 --> 00:43:10,350
+تلات حالات يا من ال A يا من ال B يا من ال C Case 1
+
+398
+00:43:10,350 --> 00:43:13,830
+ال
+
+399
+00:43:13,830 --> 00:43:22,750
+X بتنتمي ل A1 A2 ل A M معناته Alpha Beta لل X اللي
+
+400
+00:43:22,750 --> 00:43:29,830
+Alphaما هي كده هتصير ال X مثلا بتتساوي AI يعني ال
+
+401
+00:43:29,830 --> 00:43:38,310
+Alpha Beta لل X عبارة عن Alpha Beta ال AI شباب ال
+
+402
+00:43:38,310 --> 00:43:43,290
+AI بالنسبة لل Beta ايش مالها؟ ال Beta بتاخد ال AI
+
+403
+00:43:43,290 --> 00:43:48,670
+لمين؟ لنفسها لأن ال AI مش من ضمن ال Beta يعني بقى
+
+404
+00:43:48,670 --> 00:43:54,130
+هتعرف عبارة عن Alpha AI طيب ال Alpha بتاخد ال AI
+
+405
+00:43:54,130 --> 00:44:00,780
+لمين؟لأ اللي بعدها ماشي احنا بناخد A1 A2 يكبر AI
+
+406
+00:44:00,780 --> 00:44:08,620
+لمين ل AI زاد الواحد طيب ال Beta Alpha لل X يعني
+
+407
+00:44:08,620 --> 00:44:16,380
+Beta Alpha لل AI ال Alpha هتاخد ال AI لمين ل AI
+
+408
+00:44:16,380 --> 00:44:22,640
+زاد ال واحد يعني Beta AI زاد ال واحد و ال Beta
+
+409
+00:44:22,640 --> 00:44:27,550
+بتاخد ال AI زاد ال واحد لمينتساوي و الله ما تساويش
+
+410
+00:44:27,550 --> 00:44:33,990
+تساوي كيس اتنين ال
+
+411
+00:44:33,990 --> 00:44:41,910
+X بتنتمي لمين بي واحد بي تنين وصولا ل بي ان طيب
+
+412
+00:44:41,910 --> 00:44:50,230
+يعني ال X بتساوي مثلا بي جي مثلا طيب Alpha Beta لل
+
+413
+00:44:50,230 --> 00:44:55,780
+X يعني Alpha Beta لل بي جيالـ beta هتاخد ال بي جيه
+
+414
+00:44:55,780 --> 00:45:01,600
+لمين؟ ل بي جيه زي ادي الواحد يعني هذه alpha بي جيه
+
+415
+00:45:01,600 --> 00:45:05,740
+زي ادي الواحد طيب ال بي جيه زي ادي الواحد ال alpha
+
+416
+00:45:05,740 --> 00:45:11,590
+هتاخدها لمين؟ ل نفسهاواحد هيسألني طب و لو كانت ال
+
+417
+00:45:11,590 --> 00:45:16,170
+J بتساوي N فال B J زائد ال واحد يا B N زائد ال
+
+418
+00:45:16,170 --> 00:45:21,670
+واحد مش موجودة إيش هتعمل؟ هترجع لمين؟ ل B واحد طيب
+
+419
+00:45:21,670 --> 00:45:28,610
+Beta Alpha ل X يعني Beta ل Alpha B J ال Alpha
+
+420
+00:45:28,610 --> 00:45:34,830
+هتاخد ال B J لمين؟ لنفسها إيك بقى Beta ل B J و ال
+
+421
+00:45:34,830 --> 00:45:38,690
+B J هتاخد لمين؟ ل B J زائد ال واحد و إشمالهم
+
+422
+00:45:40,130 --> 00:45:49,690
+متساونين اخر حالة كالثلاثة
+
+423
+00:45:49,690 --> 00:46:00,390
+ال X تنتمي ل C1 C2 لعند C احنا قولنا K طيب يعني ال
+
+424
+00:46:00,390 --> 00:46:08,710
+X مدى تساوي CT فوق صمتي Alpha Beta لل X يعني Alpha
+
+425
+00:46:09,520 --> 00:46:14,840
+لـ Beta الـ CT شباب ال Beta بتاخد ال CT لمين؟
+
+426
+00:46:14,840 --> 00:46:19,560
+لنفسها لنفسها يعني بقى Alpha CT وال Alpha بتاخدها
+
+427
+00:46:19,560 --> 00:46:25,520
+لل CT ال Beta Alpha لل X يعني Beta ل Alpha ال CT
+
+428
+00:46:25,520 --> 00:46:34,840
+يعني عبارة عن عبارة
+
+429
+00:46:34,840 --> 00:46:43,180
+عن Beta لل CTو ال beta هتاخد ال ct لمن؟ و مافيه
+
+430
+00:46:43,180 --> 00:46:50,120
+بينهم ايه بقى في كل الحالات عندي مساواة و بالتالي
+
+431
+00:46:50,120 --> 00:46:55,120
+alpha beta ل ال x بدت ساوة beta alpha ل ال x لكل x
+
+432
+00:46:55,120 --> 00:47:00,800
+في a و بالتالي alpha beta بدت ساوة beta alpha و هو
+
+433
+00:47:00,800 --> 00:47:05,260
+المطلوب و هذه نهاية النظريةخمسة اتنين ان شاء الله
+
+434
+00:47:05,260 --> 00:47:07,580
+في المحاضرة التانية اللى هناخدها اليوم من اتناشر
+
+435
+00:47:07,580 --> 00:47:11,040
+الواحدة ان شاء الله هناخدها في المحاضرة التانية من
+
+436
+00:47:11,040 --> 00:47:15,020
+اتناشر الواحدة تكملة ال chapter هنحاول ننهيه ان
+
+437
+00:47:15,020 --> 00:47:16,020
+شاء الله يعطيكوا الافراح
+
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/C2WK84f79TY_postprocess.srt b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/C2WK84f79TY_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..66e37e638906b0d28829e3f160d5730652a2fcc8
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/C2WK84f79TY_postprocess.srt
@@ -0,0 +1,1792 @@
+1
+00:00:21,990 --> 00:00:24,230
+السلام عليكم و رحمة الله بسم الله الرحمن الرحيم
+
+2
+00:00:24,230 --> 00:00:27,590
+اليوم ان شاء الله هنكمل الجزء التالت من مناقشة
+
+3
+00:00:27,590 --> 00:00:31,630
+اللي هو الشبتر الرابع chapter ال cyclic groups
+
+4
+00:00:31,630 --> 00:00:36,310
+المرة الماضية أنهينا سؤال عشرين و اتوقفنا عن سؤال
+
+5
+00:00:36,310 --> 00:00:41,970
+واحد و عشرين سؤال واحد و عشرين سؤال تطبيقى مش صعب
+
+6
+00:00:41,970 --> 00:00:47,250
+كتيرلو جينا نقرأه let g be a group and let a be an
+
+7
+00:00:47,250 --> 00:00:51,390
+element of j لو ال a قص 12 بيساوي ال identity what
+
+8
+00:00:51,390 --> 00:00:55,410
+can you say about the order of a نفس الفكرة في فرع
+
+9
+00:00:55,410 --> 00:00:58,710
+بي لو ال a تقام بيساوي ال identity what can we say
+
+10
+00:00:58,710 --> 00:01:04,750
+about the order of a طبعا الجواب على السؤالين هو
+
+11
+00:01:04,750 --> 00:01:10,330
+جواب واحد ان order ال a في الأول هيقسم ال 12 في
+
+12
+00:01:10,330 --> 00:01:13,050
+الفرع a و في بي هيقسم مين
+
+13
+00:01:16,270 --> 00:01:22,710
+فى الفرع c suppose that ال order لجيب يسوي 24 جيب
+
+14
+00:01:22,710 --> 00:01:27,830
+is cyclic و ال a أُس تمانية لا يساوي ال identity و
+
+15
+00:01:27,830 --> 00:01:31,730
+ال a أُس اتناش لا يساوي ال identity show that ان
+
+16
+00:01:31,730 --> 00:01:38,530
+order ال a او ال generated by a هو الجيب فرع c
+
+17
+00:01:38,530 --> 00:01:45,060
+order الجيب يساوي 24 ال a أُس تمانيةلأ يساوي ال
+
+18
+00:01:45,060 --> 00:01:51,800
+identity و ال a أُس 12 لأ يساوي ال identity طبعا
+
+19
+00:01:51,800 --> 00:01:59,840
+في معلومة أخرى ان ال j is cyclic مدام
+
+20
+00:01:59,840 --> 00:02:06,220
+ال j is cyclic و
+
+21
+00:02:06,220 --> 00:02:12,060
+ال a ينتمي لل j هذا معناته ان order ال a هيقسم
+
+22
+00:02:12,060 --> 00:02:19,240
+order منالـ J هذي احدى الكورلرز على النظرية الاولى
+
+23
+00:02:19,240 --> 00:02:23,300
+انه اي عنصر في الـ cyclic group ال order له بيقسم
+
+24
+00:02:23,300 --> 00:02:26,740
+order ل group في حالة ال finite case هذا معناته
+
+25
+00:02:26,740 --> 00:02:35,840
+order ال A بيقسم ال 24 وبالتالي order ال A يا 1 يا
+
+26
+00:02:35,840 --> 00:02:47,310
+2 يا 3 يا 4 يا 6 يا 8 يا 12ياربع وعشرين تقال نرفض
+
+27
+00:02:47,310 --> 00:02:51,610
+بعضهم since
+
+28
+00:02:51,610 --> 00:02:59,330
+ا ال تمانية لا يساوي ال identity هذا معناته order
+
+29
+00:02:59,330 --> 00:03:04,550
+ال ا لا يساوي واحد لا يساوي اتنين لا يساوي اربع
+
+30
+00:03:04,550 --> 00:03:11,310
+ولا يساوي تمانية اشطب الواحد اشطب الاتنين اشطب
+
+31
+00:03:11,310 --> 00:03:21,130
+الاربع اشطب التمانيةنفس الفكرة also ال a أُس 12 لا
+
+32
+00:03:21,130 --> 00:03:27,550
+يساوي ال identity معناته order ال a لا يساوي تلاتة
+
+33
+00:03:27,550 --> 00:03:34,870
+ولا يساوي ستة ولا يساوي اتناش اشطب التلاتة اشطب
+
+34
+00:03:34,870 --> 00:03:38,290
+الستة اشطب الاتناش ايش حيضل عندك؟ اربع وعشرين
+
+35
+00:03:38,290 --> 00:03:42,690
+وبالتالي order ال a بدي يساوي اربع وعشرين اللي هو
+
+36
+00:03:42,690 --> 00:03:52,600
+order ال jيكبر جيه الانصار
+
+37
+00:03:52,600 --> 00:03:57,140
+اللي اسمه a موجود في الجروب جيه اللي هي cyclic و
+
+38
+00:03:57,140 --> 00:04:02,610
+هي finiteهي group ال order لها 24 يكبر order ل A
+
+39
+00:04:02,610 --> 00:04:06,530
+بيخسم ال 24 يكبر يا واحد يا اتنين يا تلاتة يا اربع
+
+40
+00:04:06,530 --> 00:04:09,890
+يا ستة يا تمانية يا اتناش يا اربع عشرين هيجيت ال A
+
+41
+00:04:09,890 --> 00:04:12,450
+و ال تمانية و ال A و ال اتناش لا يساوي ال identity
+
+42
+00:04:12,450 --> 00:04:15,990
+بستثني ال واحد و التنين و الأربع و التمانية في
+
+43
+00:04:15,990 --> 00:04:19,790
+الأول بعدين بستثني التلاتة و الستة و الأتناش من
+
+44
+00:04:19,790 --> 00:04:27,610
+حيضلان دي خلص السؤال السؤال
+
+45
+00:04:27,610 --> 00:04:33,840
+ال 22Any group of order 3 must be cyclic هذا
+
+46
+00:04:33,840 --> 00:04:36,680
+هيناخدله تعاميم في chapter 7 لما ناخد ال grand
+
+47
+00:04:36,680 --> 00:04:41,300
+theorem ان اي group of prime order لازم تكون
+
+48
+00:04:41,300 --> 00:04:48,020
+cyclic لو كان ال J ال order إيه لها تلاتة ف J is
+
+49
+00:04:48,020 --> 00:04:50,700
+cyclic
+
+50
+00:05:00,270 --> 00:05:09,970
+let جيه بيه فيها تلت عناصر اكيد واحد منهم مين اخد
+
+51
+00:05:09,970 --> 00:05:19,870
+ال a اخد ال b with ا لا يساوي ال a ا لا يساوي ال b
+
+52
+00:05:19,870 --> 00:05:24,710
+ا لا يساوي ال b عشان اقول انه تلت عناصر اشمالهم
+
+53
+00:05:24,710 --> 00:05:27,090
+distinct مختلفات
+
+54
+00:05:29,800 --> 00:05:36,980
+هذا معناته ان a و b وين هيكون في الـ j كم حالة
+
+55
+00:05:36,980 --> 00:05:46,820
+عندك تلاتة cases هذا معناته case واحد ان ال a و b
+
+56
+00:05:46,820 --> 00:05:53,260
+بدت ساوي ايه؟ لو ال a و b بدت ساوي ايه؟ يبقى b بدت
+
+57
+00:05:53,260 --> 00:05:58,060
+ساوي ال identity وهذا مستحيل الحالة التانية
+
+58
+00:06:00,790 --> 00:06:05,990
+إن ال A بيبقى تساوي ال B في هذه الحالة سيصبح ال A
+
+59
+00:06:05,990 --> 00:06:12,270
+بيبقى تساوي ال identity وهذا مستحيل كيس
+
+60
+00:06:12,270 --> 00:06:19,110
+ثلاثة إن ال A بيبقى تساوي ال identity وبالتالي ال
+
+61
+00:06:19,110 --> 00:06:26,070
+B بيبقى تساوي ال A inverse طبعا صارت ال J عبارة عن
+
+62
+00:06:26,070 --> 00:06:28,930
+ال identity و A و A inverse
+
+63
+00:06:33,620 --> 00:06:42,040
+cyclics جيناتك ضايق من انتوا يك ب جيه is cycling
+
+64
+00:06:42,040 --> 00:06:46,000
+وخلص
+
+65
+00:06:46,000 --> 00:07:00,360
+واضح
+
+66
+00:07:00,360 --> 00:07:07,880
+السؤال هذاواضح السؤال هذا طيب سؤال تلاتة عشرين
+
+67
+00:07:07,880 --> 00:07:12,220
+اتكلمنا عنه في سياق الشرح اللي ابقى كنت اشرحه في
+
+68
+00:07:12,220 --> 00:07:17,020
+ال chapter بقولك ال z of ليه عبارة عن ال integers
+
+69
+00:07:17,020 --> 00:07:23,620
+مع الجامع هل كل subgroup من ال z cyclic؟ هل كل
+
+70
+00:07:23,620 --> 00:07:29,260
+subgroup من ال z cyclic؟ لو أخدت H subgroup من ال
+
+71
+00:07:29,260 --> 00:07:32,680
+z ال integers مع الجامع أكيد ال H cyclic
+
+72
+00:07:36,910 --> 00:07:43,350
+ليش؟ since z itself is cyclic مدام الـ z is a
+
+73
+00:07:43,350 --> 00:07:47,710
+cyclic group فكل sub group منه ايش هيكون؟ Cyclic
+
+74
+00:07:47,710 --> 00:07:53,330
+طبعا ال H هتكون generated by some element مثلا M و
+
+75
+00:07:53,330 --> 00:07:59,030
+ال M ينتمي ل z هدا مش معناته هدا معناته هي عبارة
+
+76
+00:07:59,030 --> 00:08:03,930
+عن ال zero موجة بسالب M موجة بسالب اتنين Mموجب
+
+77
+00:08:03,930 --> 00:08:13,230
+سالب تلاتة M الاخرى هذا
+
+78
+00:08:13,230 --> 00:08:16,790
+السؤال
+
+79
+00:08:16,790 --> 00:08:23,010
+23 السؤال 24 find
+
+80
+00:08:23,010 --> 00:08:26,470
+for any element A in any group J prove that انه
+
+81
+00:08:26,470 --> 00:08:30,150
+generated by A is a subgroup من ال centralizer A
+
+82
+00:08:34,580 --> 00:08:43,360
+هذه تريفيال since a في a بيبقى تساوي a في a يكبر
+
+83
+00:08:43,360 --> 00:08:49,720
+ال a أشماله كميوت مع نفسه مادامه كميوت مع نفسه
+
+84
+00:08:49,720 --> 00:08:54,440
+يكبر a موجود في ال centralizer لل a يكبر generated
+
+85
+00:08:54,440 --> 00:09:03,060
+by a sub group من ال centralizer وخلص اثبات خلص
+
+86
+00:09:04,830 --> 00:09:09,990
+خلصوها ال 24 بسرعة أربع
+
+87
+00:09:09,990 --> 00:09:15,370
+أسئلة اللي حليناها واضحة، في أي مشكلة فيها؟ في أي
+
+88
+00:09:15,370 --> 00:09:19,110
+مشكلة في الأسئلة اللي حليناها؟ أي نقطة غير مفهومة؟
+
+89
+00:09:24,500 --> 00:09:28,860
+هو يبدأ بالجنرالتر الـ A بالساقية هذي السبب بقى
+
+90
+00:09:28,860 --> 00:09:32,520
+تبدأ في answer انت بتاخد A تقام بعدين تدبط ان A
+
+91
+00:09:32,520 --> 00:09:38,800
+تقام commute مع ال A عارف تلات تسطر ليش تجي ع راسك
+
+92
+00:09:38,800 --> 00:09:42,140
+بعدين كده بدأت ك A تقام بساقية مش ال A commute مع
+
+93
+00:09:42,140 --> 00:09:46,480
+نفسه فموجود في ال centralizer تبع نفسه و بعدين
+
+94
+00:09:46,480 --> 00:09:48,960
+موجود في ال centralizer تبع نفسه ال centralizer
+
+95
+00:09:48,960 --> 00:09:53,170
+subgroup فال generated by Aهيكون subset من ال
+
+96
+00:09:53,170 --> 00:09:57,490
+centralizer لأنه مدام ال a موجودة يعني فكل powers
+
+97
+00:09:57,490 --> 00:09:58,710
+ال a موجودة يعني
+
+98
+00:10:03,030 --> 00:10:06,690
+سؤال 25 أنا ما طلبتوش لكن هو محلول في الخلف و سهل
+
+99
+00:10:06,690 --> 00:10:12,130
+انت بتشتغل في ال DN ال DN عبارة عن جزءين جزء مكونا
+
+100
+00:10:12,130 --> 00:10:16,490
+من N من العناصر بتكون لل cyclic subgroup generated
+
+101
+00:10:16,490 --> 00:10:23,990
+by R 360 على N و الجزء التاني عبارة عن مجموعة من
+
+102
+00:10:23,990 --> 00:10:27,350
+ال reflections اللي ال order لكل واحد اش في ساوي
+
+103
+00:10:28,270 --> 00:10:32,210
+تنين فعندك صحب الجروب ال order اللي هان فلو كان دي
+
+104
+00:10:32,210 --> 00:10:35,350
+يقسم الان هتلاقي عدد من العناصر ال order اللي هم
+
+105
+00:10:35,350 --> 00:10:40,130
+دي يساوي في الدي بالنسبة لسؤال ستة و عشرين
+
+106
+00:10:40,130 --> 00:10:45,290
+generator ال z قلناهم موجة بسالب واحد generator اي
+
+107
+00:10:45,290 --> 00:10:52,390
+group infinite و cyclic هيكون ال a و a inverse
+
+108
+00:10:52,390 --> 00:10:57,850
+يعني في ال z السؤال ستة و عشرينالـ z ال generator
+
+109
+00:10:57,850 --> 00:11:02,810
+إليها موجب سالب واحد طب لو كان عندك generated by a
+
+110
+00:11:02,810 --> 00:11:07,710
+و order ال a بدي يسوي مالة نهاية مين ال generator
+
+111
+00:11:07,710 --> 00:11:15,410
+هان؟ a و a inverse لأنه أصلا كل .. هنكتشف لاحقا أن
+
+112
+00:11:15,410 --> 00:11:21,650
+كل cyclic group و infinite هتكون copy من ال z
+
+113
+00:11:22,690 --> 00:11:27,450
+السابع و عشرين الـ c star the group of non-zero
+
+114
+00:11:27,450 --> 00:11:31,210
+complex number under multiplication has a cyclic
+
+115
+00:11:31,210 --> 00:11:39,090
+subgroup of order c star عبارة عن اللي هي كل ما
+
+116
+00:11:39,090 --> 00:11:47,330
+عدا ال zero اللي هي ممكن نكتبها زي هيك black c كل
+
+117
+00:11:47,330 --> 00:11:52,780
+ما عدا ال zero مع عملية الضربهذا ما نثبت أنه موجود
+
+118
+00:11:52,780 --> 00:11:58,300
+فيها Cyclic group أو
+
+119
+00:11:58,300 --> 00:12:04,480
+Cyclic subgroup في أوردر n لت ان ينتمي لإنه يشغل
+
+120
+00:12:04,480 --> 00:12:09,180
+number بخط
+
+121
+00:12:09,180 --> 00:12:11,080
+Complex analysis
+
+122
+00:12:14,570 --> 00:12:19,310
+طيب هجيت أي polynomial ال coefficient اللي لها من
+
+123
+00:12:19,310 --> 00:12:25,270
+ال C حلولها وين موجودة؟ اي polynomial ال
+
+124
+00:12:25,270 --> 00:12:28,650
+coefficient اللي هي المعاملات تبعتها من ال complex
+
+125
+00:12:28,650 --> 00:12:32,290
+number ال coefficient تبعتها وين؟ او ال solution
+
+126
+00:12:32,290 --> 00:12:37,250
+تبعتها وين؟برضه في ال complex طبعا هذا سببه ان ال
+
+127
+00:12:37,250 --> 00:12:41,910
+.. ال .. ال .. ال C مع الضرب و الجمع تملي حاجة
+
+128
+00:12:41,910 --> 00:12:44,810
+احنا بنسميها algebraically closed field of
+
+129
+00:12:44,810 --> 00:12:48,610
+characteristics zero طبعا هو اكمل تقريبا اللي هو
+
+130
+00:12:48,610 --> 00:12:51,370
+اكمل ال .. ال .. ال هيئة الجبرية لإن كل ال
+
+131
+00:12:51,370 --> 00:12:57,050
+polynomials بتكون محلولة داخله هجيت السؤال انا بدي
+
+132
+00:12:57,050 --> 00:13:01,730
+اجيب subgroup ال order L, H, N و تكون cyclic في ال
+
+133
+00:13:01,730 --> 00:13:07,500
+C فبدي أنصر يولدهاthe answer يولد هذه ال subgroup
+
+134
+00:13:07,500 --> 00:13:14,040
+طبعا consider the
+
+135
+00:13:14,040 --> 00:13:23,380
+equation x to n بساوي واحد هذه
+
+136
+00:13:23,380 --> 00:13:29,840
+المعادلة we know that
+
+137
+00:13:29,840 --> 00:13:33,380
+this equation
+
+138
+00:13:35,180 --> 00:13:43,600
+أو the solution أو the roots of this أو of this
+
+139
+00:13:43,600 --> 00:13:50,060
+polynomial أو equation are
+
+140
+00:13:50,060 --> 00:14:01,200
+all lies in C ولا
+
+141
+00:14:01,200 --> 00:14:04,240
+واحد منهم يساو Zero none
+
+142
+00:14:06,700 --> 00:14:16,400
+of them is zero ولا واحد منهم
+
+143
+00:14:16,400 --> 00:14:28,660
+ساو صفر let a,n بكل ال X في ال C اللي X أس N بده
+
+144
+00:14:28,660 --> 00:14:29,280
+يساوي واحد
+
+145
+00:14:36,570 --> 00:14:41,190
+بتعلم معايا احنا هن فى ال C و لو واحد منهم صفر
+
+146
+00:14:41,190 --> 00:14:49,150
+فأول هنتقل لل C star using the
+
+147
+00:14:49,150 --> 00:14:53,610
+concepts of
+
+148
+00:14:53,610 --> 00:14:59,830
+complex analysis we
+
+149
+00:14:59,830 --> 00:15:02,870
+can write
+
+150
+00:15:04,970 --> 00:15:12,650
+الان عبارة عن الواحد و و تغبيه لإن و أس ان ماينس
+
+151
+00:15:12,650 --> 00:15:17,110
+واحد where
+
+152
+00:15:17,110 --> 00:15:20,210
+و
+
+153
+00:15:20,210 --> 00:15:23,710
+is a primitive root
+
+154
+00:15:34,970 --> 00:15:45,650
+of unity primitive and root of unity طبعا
+
+155
+00:15:45,650 --> 00:15:48,650
+لو رجعت لل complex analysis احنا بتعرف ان هذه
+
+156
+00:15:48,650 --> 00:15:53,210
+المعادلة كيف بنحلهاهنا x اثنان بدى يسوى واحد او
+
+157
+00:15:53,210 --> 00:15:55,250
+انا بدي احلي المعادلة اللى عبارة عن z اثنان بدى
+
+158
+00:15:55,250 --> 00:15:59,670
+يسوى واحد بروح بجيب الواحد على شكل اللى هو ال ال
+
+159
+00:15:59,670 --> 00:16:04,330
+polar form و بتطلع ال theta تبعته صفر فبجمع صفر
+
+160
+00:16:04,330 --> 00:16:12,130
+زاد اتنين k πاي على n ف ال w عبارة عن اللى هو
+
+161
+00:16:12,130 --> 00:16:22,010
+cosine اتنين πايعلى n زاد i sin 2pi على n هذا من
+
+162
+00:16:22,010 --> 00:16:27,970
+ال complex analysis هيتلاحظ أن باقي العناصر عبارة
+
+163
+00:16:27,970 --> 00:16:31,890
+عن مين هنا
+
+164
+00:16:31,890 --> 00:16:41,370
+unity النتيجة أن a n generated by w
+
+165
+00:16:46,100 --> 00:16:53,520
+and since w أُس n بدأ تساوي واحد طبعاً لما ابدأ
+
+166
+00:16:53,520 --> 00:16:59,920
+أجي أكمل أجيب w أُس n هترجع لمين للواحد w أُس n
+
+167
+00:16:59,920 --> 00:17:04,240
+زاد الواحد هتروح لمين لل w بعدين ال powers تبعين
+
+168
+00:17:04,240 --> 00:17:14,260
+ال w بصير اشمالهم يتكرر النتيجةان ان subgroup من
+
+169
+00:17:14,260 --> 00:17:18,080
+الـ black sea تبعا black sea لما اشهد منصة صفر ده
+
+170
+00:17:18,080 --> 00:17:27,840
+C star و ال order لان بدى يساوي ان and ان is
+
+171
+00:17:27,840 --> 00:17:34,860
+cyclic مشكلة هنا ان اللي بدأ يجيح حل السؤال يكون
+
+172
+00:17:34,860 --> 00:17:40,320
+عنده خلفية عن ال complex analysisلأ لأ مش .. هذه
+
+173
+00:17:40,320 --> 00:17:44,400
+القاعدة انت خدتها في الثانوية المعادلة اللي هي كيف
+
+174
+00:17:44,400 --> 00:17:47,760
+.. كيف .. كيف كنت تجيب جذور ال .. ال .. ال ..
+
+175
+00:17:47,760 --> 00:17:54,440
+الواحد الصحيح ال .. الواحد الصحيح هو بده إجاوب أو
+
+176
+00:17:54,440 --> 00:17:59,580
+صرف إجاوب الوردر لها فاشتغلت علي هذه المعادلةأنا
+
+177
+00:17:59,580 --> 00:18:04,440
+مش هقدر أخد أنصر عشوائي و أضل أرفع فيه الأساس و
+
+178
+00:18:04,440 --> 00:18:08,740
+بعدين أجيبه بواحد إلا لما أكون عارف واحد معين بعرف
+
+179
+00:18:08,740 --> 00:18:18,920
+أنه لما بعرفه هو لأنه بيعطيني واحد عشو
+
+180
+00:18:18,920 --> 00:18:28,090
+فيه بعد 27؟ أو 26؟ 27؟عندي سؤال تسعة و عشرين list
+
+181
+00:18:28,090 --> 00:18:33,550
+all the elements of O أخضر تمانية ان زد تمانتلاف
+
+182
+00:18:33,550 --> 00:18:37,130
+محلول .. محلول السؤال هذا ورا تحلي السؤال اللي
+
+183
+00:18:37,130 --> 00:18:42,700
+بعدهأو حتى لو مش تمانية و تمانية ترليون نفس الفكرة
+
+184
+00:18:42,700 --> 00:18:47,080
+list all elements of order تمانية عشان تشتغل على
+
+185
+00:18:47,080 --> 00:18:50,700
+order تمانية بدك تجيب واحد ال order له تمانية و
+
+186
+00:18:50,700 --> 00:18:52,600
+تكمل بعد هيك عشان تشتغل عشان تشتغل عشان تشتغل عشان
+
+187
+00:18:52,600 --> 00:18:53,280
+تشتغل عشان تشتغل عشان تشتغل عشان تشتغل عشان تشتغل
+
+188
+00:18:53,280 --> 00:18:54,720
+عشان تشتغل عشان تشتغل عشان تشتغل عشان تشتغل عشان
+
+189
+00:18:54,720 --> 00:18:54,980
+تشتغل عشان تشتغل عشان تشتغل عشان تشتغل عشان تشتغل
+
+190
+00:18:54,980 --> 00:19:01,340
+عشان تشتغل عشان تشتغل عشان تشتغل
+
+191
+00:19:03,140 --> 00:19:07,240
+بتجيب واحد منهم اللي هو عبارة عن واحد قص تمانية
+
+192
+00:19:07,240 --> 00:19:11,040
+مليون ع تمانية يعني واحد قص مليون عن المليون بترفع
+
+193
+00:19:11,040 --> 00:19:13,880
+على القصص اللي بتكون relative to prime ع تمانية
+
+194
+00:19:13,880 --> 00:19:18,300
+واحد و تلاتة و خمسة و سبعة فهي الأرقام اللي او
+
+195
+00:19:18,300 --> 00:19:21,440
+العناصر اللي في زيد تمانية مليون اللي ال order
+
+196
+00:19:21,440 --> 00:19:24,180
+اللي تمانية هتكون المليون و التلاتة مليون و الخمسة
+
+197
+00:19:24,180 --> 00:19:29,770
+مليون و السبعة مليون نفس الفكرةلو كان ال .. ال
+
+198
+00:19:29,770 --> 00:19:33,230
+يعني copy من ال z تمانية مليون generated by a و ال
+
+199
+00:19:33,230 --> 00:19:38,250
+order ل a تمانية مليون هل السؤال تلاتين؟ ساعات
+
+200
+00:19:38,250 --> 00:19:42,290
+عشرين بتقول ساعات عشرين أحله بحله مع أنه سهل يعني
+
+201
+00:19:42,290 --> 00:19:45,610
+بدك
+
+202
+00:19:45,610 --> 00:19:49,830
+ال .. ال .. ال order لل a بيبقى تساوي تمانية و a
+
+203
+00:19:49,830 --> 00:19:57,430
+ينتمي ل z تمانية مليون أول شي ده number
+
+204
+00:20:00,790 --> 00:20:11,490
+of elements in زد تمانية مليون with order تمانية
+
+205
+00:20:11,490 --> 00:20:16,530
+is five تمانية له بيساوي أربعة because أو since
+
+206
+00:20:16,530 --> 00:20:26,110
+the group is cyclic to find one of them
+
+207
+00:20:32,650 --> 00:20:42,450
+we have that واحد اص تمانية مليون على تمانية اللي
+
+208
+00:20:42,450 --> 00:20:53,590
+واحد اص مليون اللي عبارة عن مليون has order تمانية
+
+209
+00:20:53,590 --> 00:20:57,130
+sure
+
+210
+00:20:59,400 --> 00:21:05,520
+هو بده الارض بده العناصر بلاش اخدها ايه وهنا بقولك
+
+211
+00:21:05,520 --> 00:21:11,040
+find الارض على بيبن ساوة تمانية و ال بي ينتمي بزية
+
+212
+00:21:11,040 --> 00:21:15,460
+تمانية مليون اوجد العناصر بي اللي الارض اغلى
+
+213
+00:21:15,460 --> 00:21:18,720
+تمانية بزية تمانية مليون باق العناصر هالجيتها
+
+214
+00:21:18,720 --> 00:21:26,560
+شهدكون these
+
+215
+00:21:26,560 --> 00:21:27,060
+elements
+
+216
+00:21:33,300 --> 00:21:46,100
+R مليون أس واحد مليون أس ثلاثة مليون أس خمسة و
+
+217
+00:21:46,100 --> 00:21:52,960
+مليون و السبعة اللي هما يبقى عن المليون و التلاتة
+
+218
+00:21:52,960 --> 00:21:58,720
+مليون و الخمسة مليون و السبعة مليون
+
+219
+00:22:02,150 --> 00:22:05,190
+طب انت تكمل السؤال بنفس الطريقة بس بدل الواحد مش
+
+220
+00:22:05,190 --> 00:22:10,650
+هتاخد A فهيصير A أُس مليون A أُس ثلاثة مليون A أُس
+
+221
+00:22:10,650 --> 00:22:16,290
+خمسة مليون أو A أُس سبعة مليون سؤال
+
+222
+00:22:16,290 --> 00:22:20,810
+تلاتين order
+
+223
+00:22:20,810 --> 00:22:32,300
+ال A قد تنين N زي الواحد وA B A inverse بيساوي P
+
+224
+00:22:32,300 --> 00:22:38,240
+inverse show that P
+
+225
+00:22:38,240 --> 00:22:45,800
+تربيع بيساوي ال identity السؤال
+
+226
+00:22:45,800 --> 00:22:48,160
+التلاتين سؤال حلو بيشغل
+
+227
+00:23:26,320 --> 00:23:32,360
+عشان اقول ان ال P تربيه بدي ساوي ال identity لازم
+
+228
+00:23:32,360 --> 00:23:40,180
+اطلع ال P من العلاقة اللي قدامك يعني P A في B في A
+
+229
+00:23:40,180 --> 00:23:43,920
+inverse بدي ساوي P inverse تعالى نخربش على جدب
+
+230
+00:23:43,920 --> 00:23:47,960
+عشان نعرف كيف نبدأ نحل السؤال عشان يكون ال P تربيه
+
+231
+00:23:47,960 --> 00:23:52,650
+بدي ساوي ال identity فP بدي ساوي ايش؟بإنفارس
+
+232
+00:23:52,650 --> 00:23:56,990
+بإنفارس
+
+233
+00:23:56,990 --> 00:24:00,470
+بإنفارس
+
+234
+00:24:00,470 --> 00:24:05,810
+بإنفارس بإنفارس بإنفارس بإنفارس بإنفارس بإنفارس
+
+235
+00:24:05,810 --> 00:24:09,110
+بإنفارس بإنفارس بإنفارس بإنفارس بإنفارس بإنفارس
+
+236
+00:24:09,110 --> 00:24:09,130
+بإنفارس بإنفارس بإنفارس بإنفارس بإنفارس بإنفارس
+
+237
+00:24:09,130 --> 00:24:16,330
+بإنفارس بإنفارس بإنفارس
+
+238
+00:24:16,330 --> 00:24:19,570
+بإنفارس
+
+239
+00:24:19,570 --> 00:24:27,570
+بإCommute تبقى ده ليه طيب فى شفى معضلة لحد تلان ما
+
+240
+00:24:27,570 --> 00:24:32,030
+استعملتوش اللى هو إيش order ال A بدي ساوي odd لما
+
+241
+00:24:32,030 --> 00:24:35,710
+يكون order ال A بدي ساوي odd ف generated by ال A
+
+242
+00:24:35,710 --> 00:24:40,070
+ال order اللي هي إيش تانين إيه أن زاد ال واحد
+
+243
+00:24:40,070 --> 00:24:45,310
+فمعناته generated by ال A هى نفسة generated by ال
+
+244
+00:24:45,310 --> 00:24:45,890
+A تربية
+
+245
+00:24:48,590 --> 00:24:52,770
+طيب لما يكون ال A P بدي ساو P A معناته ال A أنصر
+
+246
+00:24:52,770 --> 00:24:59,670
+وين؟ في ال centralizer ال P ال A أنصر في ال
+
+247
+00:24:59,670 --> 00:25:03,390
+centralizer ال P ف generated by ال A subset من
+
+248
+00:25:03,390 --> 00:25:07,790
+centralizer ال P طب generated by ال A هنافسة
+
+249
+00:25:07,790 --> 00:25:14,120
+generated by ال A تربية فA تربيةأنصر في الـ
+
+250
+00:25:14,120 --> 00:25:19,100
+centralizer الـ P فأنا لو أثبتت أن A تربيع P بيكون
+
+251
+00:25:19,100 --> 00:25:22,440
+حصلت
+
+252
+00:25:22,440 --> 00:25:28,940
+المطلوب بس بي .. A تربية P بيكون حصلت المطلوب بس
+
+253
+00:25:28,940 --> 00:25:32,900
+بي .. A تربية P بيكون حصلت المطلوب بس بي .. A
+
+254
+00:25:32,900 --> 00:25:33,200
+تربية P بيكون حصلت المطلوب بيكون حصلت المطلوب
+
+255
+00:25:33,200 --> 00:25:36,880
+بيكون حصلت المطلوب بيكون حصلت المطلوب بيكون حصلت
+
+256
+00:25:36,880 --> 00:25:39,440
+المطلوب بيكون حصلت المطلوب بيكون حصلت المطلوب
+
+257
+00:25:39,440 --> 00:25:47,400
+بيكون حصلعبارة عن A P A inverse لكل inverse اللي
+
+258
+00:25:47,400 --> 00:25:58,980
+يشبه تساوي A P inverse A inverse طيب
+
+259
+00:25:58,980 --> 00:26:07,540
+هذه عبارة عن A A P A inverse في A inverse اللي
+
+260
+00:26:07,540 --> 00:26:13,950
+عبارة عن A P inverse A inverseوبالتالي هذه هي
+
+261
+00:26:13,950 --> 00:26:20,990
+نفسها طبعا أنا بدأت من تحت عشان أفهم نقطة البداية
+
+262
+00:26:20,990 --> 00:26:27,070
+تبعتي مين هي لازم أبدأ بهذه و بهذه هعيد تشكيل الحل
+
+263
+00:26:27,070 --> 00:26:35,850
+و أصل للمطلوب since
+
+264
+00:26:35,850 --> 00:26:39,030
+a
+
+265
+00:26:39,030 --> 00:26:47,890
+p a inverseبدي سوى P inverse خد inverse الطرفين A
+
+266
+00:26:47,890 --> 00:26:54,750
+P A inverse بدي تسوى P inverse ولكل inverse هذه
+
+267
+00:26:54,750 --> 00:27:02,170
+هتصير A P inverse A inverse بدي تسوى P
+
+268
+00:27:10,610 --> 00:27:14,950
+طيب خلّيه على جانب اتذكر ايش الكون اللي بنجيبه
+
+269
+00:27:14,950 --> 00:27:21,770
+احنا بنثبت ان a تربيه b a inverse ايش ده تساوي بي
+
+270
+00:27:21,770 --> 00:27:27,730
+بقى دي اي سالب اتنين هقعد
+
+271
+00:27:27,730 --> 00:27:34,330
+امسك ال a تربيه بي a inverse كيف ده تيجيه also a b
+
+272
+00:27:34,330 --> 00:27:38,690
+inverse a inverse ده تساوي مين بي انفرس
+
+273
+00:27:43,670 --> 00:27:51,510
+أنا أنا أخدت A P Inverse A Inverse ماشي
+
+274
+00:27:51,510 --> 00:27:59,530
+هجيت أضرب A A A B A Inverse A Inverse هد يبقى عنين
+
+275
+00:27:59,530 --> 00:28:10,650
+A P Inverse A Inverse الي مين الي B هي فوق هي
+
+276
+00:28:10,650 --> 00:28:17,330
+فوق Pهذه عبارة عن a تربيع بي a سالب اتنين ايش
+
+277
+00:28:17,330 --> 00:28:27,310
+بيساوي بي يعني a تربيع بي بتساوي بي a تربيع ايش
+
+278
+00:28:27,310 --> 00:28:34,030
+يعني a تربيع بي بتساوي بي a تربيع يعني a تربيع
+
+279
+00:28:34,030 --> 00:28:40,430
+ينتمي ل centralizer ال بي وبالتالي generated by ال
+
+280
+00:28:40,430 --> 00:28:52,240
+a تربيعsome group من الـcentralizer الـB Now order
+
+281
+00:28:52,240 --> 00:29:01,040
+الـA بيساوى 2N زي الواحد odd ايش يعني؟
+
+282
+00:29:01,040 --> 00:29:09,030
+ايش يعني؟ يعني generated by الـA تربيةبدي اساوي
+
+283
+00:29:09,030 --> 00:29:14,650
+generated by الـ A أُس common divisor للتانين
+
+284
+00:29:14,650 --> 00:29:22,610
+والتانين N زاد الواحد اللي هو A أُس واحد يعني
+
+285
+00:29:22,610 --> 00:29:28,700
+generated by الـ Aأحنا خدنا قاعدة انه ال generated
+
+286
+00:29:28,700 --> 00:29:32,800
+by a to m هو نفس ال generated by a أصل grease
+
+287
+00:29:32,800 --> 00:29:38,360
+common divisor لm و order ال a حط ال m اتنين و
+
+288
+00:29:38,360 --> 00:29:42,160
+order ال a اتنين n زادي ال واحد هدولة relatively
+
+289
+00:29:42,160 --> 00:29:45,840
+prime فال grease common divisor له مقداش واحد
+
+290
+00:29:45,840 --> 00:29:50,020
+فgenerated by ال a تربيع هي نفس ال generated by ال
+
+291
+00:29:50,020 --> 00:30:00,670
+a طيب اش يعنييعني generated by ال A صارت sub group
+
+292
+00:30:00,670 --> 00:30:08,170
+من مين؟ من ال centralizer ال B إيش يعني؟ يعني AB
+
+293
+00:30:08,170 --> 00:30:22,110
+بدت ساوي PA AB بدت ساوي PA يعني ABA inverse إيش
+
+294
+00:30:22,110 --> 00:30:29,740
+بدت ساوي؟B بس ABA inverse إيش بتساوي أصلا؟ B
+
+295
+00:30:29,740 --> 00:30:34,040
+inverse يعني B inverse بتساوي B و الخلاصة اللي
+
+296
+00:30:34,040 --> 00:30:40,800
+احنا مطلوب نجيبها أنه B تغبيا بتساوي ال identity
+
+297
+00:30:40,800 --> 00:30:44,840
+واضح؟
+
+298
+00:30:44,840 --> 00:30:47,820
+واضح السؤال يا شباب؟
+
+299
+00:31:04,450 --> 00:31:09,130
+بس وقت فيه .. فيه أفكار يعني طلعت كيف فكرنا في حل
+
+300
+00:31:09,130 --> 00:31:13,710
+و بدأنا من وين؟ من اللي مطلوب نثبته، اشتغلنا
+
+301
+00:31:13,710 --> 00:31:17,550
+ووصلنا لمين؟ للشغل اللي المطلوب احنا نشتغل عليها
+
+302
+00:31:17,550 --> 00:31:25,530
+عشان نصلّى المطلوب بصراحة
+
+303
+00:31:25,530 --> 00:31:25,810
+كتب
+
+304
+00:31:45,950 --> 00:31:50,790
+سنة واحدة و تلاتين على السريع بقولك
+
+305
+00:31:50,790 --> 00:31:58,490
+لو كانت ال order لل J مثلا بيساوي M finite بقولك
+
+306
+00:31:58,490 --> 00:32:04,130
+أثبت أنه يوجد يوجد
+
+307
+00:32:04,130 --> 00:32:08,090
+N such that أن A أُس N بدت ساوي ال identity لكل A
+
+308
+00:32:08,090 --> 00:32:14,280
+في ال J طبعا انا بقولكالـ N هي عبارة عن ال least
+
+309
+00:32:14,280 --> 00:32:19,920
+common multiple ل order A حيث A في الـ G مش شغل
+
+310
+00:32:19,920 --> 00:32:26,100
+على هذه القاعدة خد ال N المطلوبة هي least common
+
+311
+00:32:26,100 --> 00:32:31,320
+multiple ل order العناصر الموجودة فين في الـ G
+
+312
+00:32:31,320 --> 00:32:39,380
+سؤال 32 تبع ال lattice 32 33 34 35 تكلمنا عنهم فضل
+
+313
+00:32:41,970 --> 00:32:46,870
+31 يقولك اثبت انه يوجد عدد بترفع كل عناصر الجي الو
+
+314
+00:32:46,870 --> 00:32:51,170
+بيعطيك ال identity انا بقولك العدد هذا هو ال least
+
+315
+00:32:51,170 --> 00:32:58,450
+common multiple لكل ال orders وبالتالي اي عنصر ال
+
+316
+00:32:58,450 --> 00:33:03,120
+n هذا multiple لل order تبعهفلما ترفع ال a to n
+
+317
+00:33:03,120 --> 00:33:08,840
+هسير ال a او order ال a في رقم ال a مع order ال a
+
+318
+00:33:08,840 --> 00:33:11,180
+بيعطيك ال اد ان انت بتخلص الموضوع طبعا انت عشان
+
+319
+00:33:11,180 --> 00:33:14,600
+تشغل في finite case فالعناصر تبعتي ال a finite
+
+320
+00:33:14,600 --> 00:33:21,060
+يعني عددها محدود وال order الها برضه محدود وبتالي
+
+321
+00:33:21,060 --> 00:33:23,980
+انت بتشغل ال least common multiple العدد محدود من
+
+322
+00:33:23,980 --> 00:33:28,600
+العناصر وكل رقم داخل في الحسبة ايضا محدود فالنتيجة
+
+323
+00:33:28,600 --> 00:33:33,570
+ان رقم اللي هيطلع معاك هو رقمأو عدد طبيعي مش هيكون
+
+324
+00:33:33,570 --> 00:33:37,650
+infinity هان واضح؟
+
+325
+00:33:37,650 --> 00:33:41,950
+طب مش نستفيد منه order ال J بسوا M نستفيد منه هان؟
+
+326
+00:33:41,950 --> 00:33:45,710
+لأ يعني المعضلة أن أنت بتشتغل في finite case فكل
+
+327
+00:33:45,710 --> 00:33:59,970
+ال order تبعت ال J الكبير تبعهم M بفطوش ال M طيب
+
+328
+00:33:59,970 --> 00:34:01,670
+سؤال 36 في شغل برضه
+
+329
+00:34:07,140 --> 00:34:18,500
+ثم اثبت ان الـ j عبارة عن union of a proper صحيح
+
+330
+00:34:18,500 --> 00:34:23,500
+بيجيبوا اركزوا على كلمة proper if and only if j is
+
+331
+00:34:23,500 --> 00:34:35,800
+not cyclic اثبت
+
+332
+00:34:35,800 --> 00:34:42,770
+ان الـ jبارة عن اتحاد proper subgroup if and only
+
+333
+00:34:42,770 --> 00:34:47,650
+if J is not cyclic طب أنا ده الإثبات اتجاهين
+
+334
+00:34:47,650 --> 00:35:01,490
+assume that we can write J بارة عن union H حيث و H
+
+335
+00:35:01,490 --> 00:35:09,120
+proper subgroup من الـ Jان احنا بنقدر نكتب ال j
+
+336
+00:35:09,120 --> 00:35:14,960
+على شكل اتحاد ل subgroups عشان انا اميزها خليها
+
+337
+00:35:14,960 --> 00:35:19,400
+اصغر من ال j ل
+
+338
+00:35:19,400 --> 00:35:27,140
+subgroups proper من ال j ايش بدي اثبت انا ان ال j
+
+339
+00:35:27,140 --> 00:35:30,900
+not cyclic كيف بدي استعمل او اي طريقة بدي استعملها
+
+340
+00:35:30,900 --> 00:35:34,800
+ايش افضل طريقة بدي استعملها
+
+341
+00:35:40,760 --> 00:35:46,760
+شباب كيف بنثبت ان الجروب ليس Cyclic نثبت
+
+342
+00:35:46,760 --> 00:35:54,100
+ان ولا عنصر ال order له بيساوي order للجروب طب
+
+343
+00:35:54,100 --> 00:35:58,780
+انت لا تنساش ان ال j finite ال order لل j بيساوي n
+
+344
+00:35:58,780 --> 00:36:07,780
+finite طب هذه العملية سهلة ولا صعبة؟انت بتاخد عنصر
+
+345
+00:36:07,780 --> 00:36:11,840
+عشوائي بتثبت ان ال order إله لا يساوي n مين
+
+346
+00:36:11,840 --> 00:36:14,860
+الأسهل؟
+
+347
+00:36:14,860 --> 00:36:20,540
+مين الأسهل؟ أستعمل الأسطوب المباشر ولا الغير
+
+348
+00:36:20,540 --> 00:36:26,100
+مباشر؟ أستعمل ال direct ولا ال indirect؟ الأسهل
+
+349
+00:36:26,100 --> 00:36:31,020
+هان أستعمل ال indirect assume that
+
+350
+00:36:31,020 --> 00:36:33,940
+J is cyclic
+
+351
+00:36:37,530 --> 00:36:44,250
+هذا معناته ان الـ J is generated by some A هذا
+
+352
+00:36:44,250 --> 00:36:50,090
+معناته الـ A ينتمي للـ J اللي هي ال union لـ H
+
+353
+00:36:50,090 --> 00:36:56,230
+subgroup من الـ J لـ H لأن الـ G عبارة عن اتحاد
+
+354
+00:36:56,230 --> 00:37:00,210
+بربر subgroups والـ A في الـ J يقبل A موجود في
+
+355
+00:37:00,210 --> 00:37:09,130
+الاتحاد هذا معناته الـ A ينتمي ل some H for someH
+
+356
+00:37:09,130 --> 00:37:14,190
+proper subgroup من الجيه ال A عنصر في proper
+
+357
+00:37:14,190 --> 00:37:20,410
+subgroup من جيه من الجيه هذا معناته انه generated
+
+358
+00:37:20,410 --> 00:37:27,790
+by ال A صارت subgroup من مين من ال H مين generated
+
+359
+00:37:27,790 --> 00:37:30,390
+by ال A يا شباب جيه
+
+360
+00:37:36,010 --> 00:37:44,290
+J subgroup من الـH و الـH أصلا subgroup من مين من
+
+361
+00:37:44,290 --> 00:37:52,190
+الـJ صارت الـJ subgroup من بوبر subgroup منها يعني
+
+362
+00:37:52,190 --> 00:37:59,350
+المبنى اللي انت فيه صار جزء من الغرفة تخيل كيف
+
+363
+00:37:59,350 --> 00:38:04,960
+المبنى طيبة صار جزء من الغرفة اللي انت فيها هناطب
+
+364
+00:38:04,960 --> 00:38:10,700
+و الناس اللي برا الغرفة وين موجودين؟ صارت تناقض
+
+365
+00:38:10,700 --> 00:38:16,000
+لإنه حاسيب معاك ال J بوبر sub group من نفسها و هذا
+
+366
+00:38:16,000 --> 00:38:25,400
+مستحيل تناقض contradiction so J is not cyclic
+
+367
+00:38:25,400 --> 00:38:29,660
+و
+
+368
+00:38:29,660 --> 00:38:33,160
+أصلا ال H بوبر صحيح
+
+369
+00:38:39,820 --> 00:38:46,980
+طيب الجزء التاني لسه شوف
+
+370
+00:38:46,980 --> 00:38:53,600
+قارط سؤال كويس احنا بنثبت ان ال J اتحاد مجموعات
+
+371
+00:38:53,600 --> 00:39:00,240
+جزئية proper منها if and only if هي مش cyclic فلو
+
+372
+00:39:00,240 --> 00:39:04,000
+كانت اتحاد ل proper subgroup اثبتت انها مش cyclic
+
+373
+00:39:04,000 --> 00:39:09,370
+لان لو كانت cyclic هسي في مشكلةيقبل جيه not cyclic
+
+374
+00:39:09,370 --> 00:39:16,590
+حاجة تنتج الاتجاه العكسي نقول assume that
+
+375
+00:39:16,590 --> 00:39:26,530
+جيه is not cyclic اش يعني يعني
+
+376
+00:39:26,530 --> 00:39:34,670
+لكل a في الجيه generated by ال a لا يساوي الجيه اش
+
+377
+00:39:34,670 --> 00:39:41,380
+يعنييعني generated by ال A ال proper subset من
+
+378
+00:39:41,380 --> 00:39:47,720
+مين؟ من ال J هذا
+
+379
+00:39:47,720 --> 00:39:55,560
+معناته الاتحاد A في ال J مش
+
+380
+00:39:55,560 --> 00:40:02,060
+كلهم subset من ال J فالاتحاد تبعه مش هيكون
+
+381
+00:40:05,460 --> 00:40:10,220
+كل واحد من هدول subset من ال j فاتحادهم هيظل
+
+382
+00:40:10,220 --> 00:40:16,020
+subset من ال j طبعا
+
+383
+00:40:16,020 --> 00:40:21,200
+انا بتكلم عليهم كاتحاد ك set مش ك subgroup لإن لو
+
+384
+00:40:21,200 --> 00:40:23,780
+عندك two subgroup الاتحاد تبعه مش ضرر يكون
+
+385
+00:40:23,780 --> 00:40:34,740
+subgroup اعطيها واحد now if a في ال jف a ينتمي ل
+
+386
+00:40:34,740 --> 00:40:41,980
+generated by ال a ف a ينتمي لل union يعني
+
+387
+00:40:41,980 --> 00:40:49,440
+ال j صارت subset من ال union و
+
+388
+00:40:49,440 --> 00:40:56,560
+اعطيها اتنين واحد و اتنين هتصير ال j هي الاتحاد
+
+389
+00:40:59,600 --> 00:41:04,300
+صارت الجي عبارة عن اتحاد subgroup منها وكل واحدة
+
+390
+00:41:04,300 --> 00:41:13,300
+منهم هدولة اشملها with generated
+
+391
+00:41:13,300 --> 00:41:21,140
+by ال a is a proper subgroup of
+
+392
+00:41:21,140 --> 00:41:26,700
+جي لكل a في الجي صارت عبارة عن اتحاد proper
+
+393
+00:41:26,700 --> 00:41:27,420
+subgroup
+
+394
+00:41:31,040 --> 00:41:36,440
+واضحة؟ لأن اثبات السؤال لها .. لأ لها .. هذا ال F
+
+395
+00:41:36,440 --> 00:41:40,000
+and only F لها .. لها .. لها .. لها ال F و لها ال
+
+396
+00:41:40,000 --> 00:41:40,480
+only F
+
+397
+00:42:24,110 --> 00:42:28,890
+37 show that the group of positive rational number
+
+398
+00:42:28,890 --> 00:42:37,850
+under multiplication is not cyclic يعني Q زائد مع
+
+399
+00:42:37,850 --> 00:42:45,270
+ضرب not cyclic Q
+
+400
+00:42:45,270 --> 00:42:54,070
+زائد يعني الأعداد النسبية الموجبةهأقول assume الـ
+
+401
+00:42:54,070 --> 00:43:00,750
+Q generated by some a على b with
+
+402
+00:43:00,750 --> 00:43:06,510
+the greatest common divisor ل a و b بدي يسوي واحد
+
+403
+00:43:06,510 --> 00:43:14,710
+حيث ال a و ال b موجودين في ال initial number طب
+
+404
+00:43:14,710 --> 00:43:19,250
+علشان ماخدتهمش في ال z لإن أنا بتعامل مع مين؟ مع
+
+405
+00:43:19,250 --> 00:43:29,550
+positiveهي التنين بدا تساوي a على b قص
+
+406
+00:43:29,550 --> 00:43:39,730
+أن طبعا .. طبعا clearly أن لا يساوي zero لأن
+
+407
+00:43:39,730 --> 00:43:45,710
+التنين لا يساوي a على b قص صفر ليها واحد also
+
+408
+00:43:47,400 --> 00:43:56,140
+if n بدت ساوي واحد فالتنين بدت ساوي a على b هذا
+
+409
+00:43:56,140 --> 00:44:06,220
+معناته ان ال q star generated by تنين او
+
+410
+00:44:06,220 --> 00:44:11,000
+q زاد generated by تنين هذا معناته ان التلاتة بدت
+
+411
+00:44:11,000 --> 00:44:17,610
+ساوي تنين أسام for someم في الـ z وهذا مستحيل
+
+412
+00:44:17,610 --> 00:44:20,930
+التلقى
+
+413
+00:44:20,930 --> 00:44:27,910
+تلقى تسوى power للتنين طيب if n بدت ساوى سالب واحد
+
+414
+00:44:27,910 --> 00:44:35,730
+يعني ال a على b بدت ساوى نص وبالتالي التلت بدت
+
+415
+00:44:35,730 --> 00:44:41,330
+ساوى نص أُص م والم من ال z يعني التلقى تبدى ساوى
+
+416
+00:44:41,330 --> 00:44:47,950
+تنين أُص م والم من ال z وهذا تناقضيكبى الان لا صفر
+
+417
+00:44:47,950 --> 00:44:53,270
+ولا واحد ولا سالب واحد يكبى يا أكبر من واحد يا
+
+418
+00:44:53,270 --> 00:45:00,430
+أصغر من سالب واحد if n أكبر من الواحد يكبى اتنين
+
+419
+00:45:00,430 --> 00:45:06,590
+بدت ساوي a على b أس n بدت ساوي a أس n على b أس n
+
+420
+00:45:06,590 --> 00:45:13,530
+وبالتالي a أس n بدت ساوي اتنين b أس n
+
+421
+00:45:17,400 --> 00:45:22,520
+هذا معناته تنين تقسم ال a أُس n وبالتالي تنين تقسم
+
+422
+00:45:22,520 --> 00:45:31,640
+ال a يكبر a بدت ساوي تنين k و ال k من ال n يكبر
+
+423
+00:45:31,640 --> 00:45:37,280
+اتنين p أُس n بدت ساوي تنين k أُس n بدت ساوي تنين
+
+424
+00:45:37,280 --> 00:45:42,060
+أُس n k أُس n يكبر p أُس n بدت ساوي تنين n minus
+
+425
+00:45:42,060 --> 00:45:48,600
+واحدك اص ان تنساش ان الان اكبر من الواحد يكبر الان
+
+426
+00:45:48,600 --> 00:45:53,160
+ماينوس الواحد على الاقل واحد يكبر هنا فيه اتنين
+
+427
+00:45:53,160 --> 00:45:57,580
+موجود وبالتالي اتنين تقسم ال بي اص ان يكبر اتنين
+
+428
+00:45:57,580 --> 00:46:05,020
+تقسم ال بي اعطي هذه star وهذه double star هيعطيك
+
+429
+00:46:05,020 --> 00:46:10,480
+ان الجيس common divisor ل a و b اكبر او يسوى اتنين
+
+430
+00:46:10,480 --> 00:46:17,140
+وده مستحيلليش؟ لإن أنا جالي اللي جيزكوا مدفع
+
+431
+00:46:17,140 --> 00:46:22,640
+زورجات دي إيش؟ واحد طبعا لا صفر ولا واحد ولا أكبر
+
+432
+00:46:22,640 --> 00:46:29,560
+من الواحد ولا سالب واحد إيش بيضال عندي؟ if n أقل
+
+433
+00:46:29,560 --> 00:46:39,860
+من سالب واحد نفس الفكرة هسي معاك a على b أسنة بدت
+
+434
+00:46:39,860 --> 00:46:48,200
+ساوي إيش؟ تنين يعنيطبعا ال N أقل من سلب واحد فسلب
+
+435
+00:46:48,200 --> 00:46:57,420
+ال N أكبر من ال واحد معناته A على B طبعا
+
+436
+00:46:57,420 --> 00:47:04,480
+مش هجلبها لغاية هتصير B على A السلب N بدت سوى 2
+
+437
+00:47:04,480 --> 00:47:11,440
+وبالتالي B السلب N بدت سوى 2 A السلب N
+
+438
+00:47:19,340 --> 00:47:24,340
+يكبر تنين تقسم ال B والسالب N يكبر تنين تقسم ال B
+
+439
+00:47:24,340 --> 00:47:30,220
+Similarly تنين
+
+440
+00:47:30,220 --> 00:47:35,260
+هتقسم ال E والسالب N يكبر تنين هتقسم ال A وهذا ما
+
+441
+00:47:35,260 --> 00:47:39,140
+هيعطيك تناقض يكبر لا صفر ولا واحد ولا أكبر من
+
+442
+00:47:39,140 --> 00:47:42,880
+الواحد ولا سالب واحد ولا أصغر من سالب واحد مين
+
+443
+00:47:42,880 --> 00:47:47,420
+ضال؟ So Q
+
+444
+00:47:48,780 --> 00:47:53,720
+زائد is not cyclic
+
+445
+00:47:53,720 --> 00:47:57,440
+يعطيكوا العافية بنجا فان السؤال هذا وحضرة القادمة
+
+446
+00:47:57,440 --> 00:48:02,140
+ان شاء الله هنكمل من سؤال تمانية وتلاتين بس هنحاول
+
+447
+00:48:02,140 --> 00:48:08,080
+انه ننهي المناقشة يعني لن مش هحل كل الأسئلة اللي
+
+448
+00:48:08,080 --> 00:48:10,900
+ضايلة مطلوبة هعطيك فقط هنتائج إليها
+
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/G00BJLS6eH8.srt b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/G00BJLS6eH8.srt
new file mode 100644
index 0000000000000000000000000000000000000000..e0e371de77a88cf5a06fdc0f320c703320f4b438
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/G00BJLS6eH8.srt
@@ -0,0 +1,1959 @@
+1
+00:00:21,400 --> 00:00:25,980
+الآن بنرجع لشبتر الـ permutation groups اللي خدناهم
+
+2
+00:00:25,980 --> 00:00:31,800
+مع الأستاذ محمود السرساوي ونقش لكوا أول عشرة مسائل 
+
+3
+00:00:31,800 --> 00:00:37,780
+بنحاول نناقش بقية المسائل إن شاء الله وتوفيق الله تعالى
+
+4
+00:00:38,220 --> 00:00:42,540
+اللي أنا بنجي لسؤال 11، السؤال 11 بيقول لي خد لي a
+
+5
+00:00:42,540 --> 00:00:47,060
+positive integer و
+
+6
+00:00:47,060 --> 00:00:53,580
+if الـ a is odd و في عندي cycle طولها n طبعًا 
+
+7
+00:00:56,780 --> 00:01:01,840
+السؤال بيقول مرة ثانية السؤال 11 بيقول الـ n
+
+8
+00:01:01,840 --> 00:01:09,380
+positive integer و الـ a is odd والا الـ alpha is
+
+9
+00:01:09,380 --> 00:01:17,260
+odd و طولها n cycle ف الـ n cycle هذه بتبقى odd والا 
+
+10
+00:01:17,260 --> 00:01:21,820
+even قالي بالك معاك الآن
+
+11
+00:01:22,280 --> 00:01:30,160
+أنا عندي الـ n ماخد ليه اللي هو positive integer 
+
+12
+00:01:30,160 --> 00:01:40,410
+لو كان الـ n is oddو أنا عندي الـ cycle الـ cycle هذه
+
+13
+00:01:40,410 --> 00:01:49,190
+طولها n يعني بمعنى a1 a2 و لغاية an بهذا الشكل هل
+
+14
+00:01:49,190 --> 00:01:55,070
+الـ permutation هذه بتبقى even والله قد علمًا أن الـ n
+
+15
+00:01:55,070 --> 00:02:01,620
+هذه عبارة عن odd هذا هو السؤال طب لو كانت الـ n
+
+16
+00:02:01,620 --> 00:02:06,580
+even برضه إيش اللي بده يكون يبقى الـ n سواء كانت
+
+17
+00:02:06,580 --> 00:02:12,580
+odd والله even بدنا نعرف هذه إيش بدها تكون إذا بدي 
+
+18
+00:02:12,580 --> 00:02:18,380
+أخد الحالة الأولى لو كانت الـ n الـ n is odd
+
+19
+00:02:18,380 --> 00:02:24,200
+يبقى هدول عددهم odd كم Transposition بقدر أسوي
+
+20
+00:02:24,200 --> 00:02:30,460
+منهم لما يكون عددهم n chemical composition أو
+
+21
+00:02:30,460 --> 00:02:36,900
+two cycles بقدر أعمل منهم قداش عددهم يعني
+
+22
+00:02:36,900 --> 00:02:41,540
+أكثر من عددهم بمقدار واحد والله أقل من عددهم بمقدار
+
+23
+00:02:41,540 --> 00:02:46,120
+واحد أقل من عددهم بمقدار واحد طب لو كان الـ n فردي
+
+24
+00:02:46,120 --> 00:02:52,720
+يبقى الأقل منه بواحد إيش بيكون زوجي يبقى هنا if الـ
+
+25
+00:02:52,720 --> 00:03:01,250
+n is odd أو even يبقى هذه بتبقى is even أو odd
+
+26
+00:03:01,250 --> 00:03:02,870
+permutation
+
+27
+00:03:05,030 --> 00:03:10,890
+يعني يعني عكس العدد اللي عندنا هذا لو كان العدد زي
+
+28
+00:03:10,890 --> 00:03:14,310
+مثال و ذلك لو قلت أنا أشير أنزل سايكل فيها واحد 
+
+29
+00:03:14,310 --> 00:03:19,390
+اثنين ثلاثة هيبقى هذه الطول فردي مظبوط أكمل
+
+30
+00:03:19,390 --> 00:03:23,170
+ترانسبوزش إن بقدر أعمل واحد ثلاثة واحد اثنين يبقى
+
+31
+00:03:23,170 --> 00:03:28,620
+اثنين فقط يبقى هذه بيصير even permutation يبقى إذا
+
+32
+00:03:28,620 --> 00:03:33,520
+الـ cycle عدد العناصر فيها odd أو الطول تبعها عبارة
+
+33
+00:03:33,520 --> 00:03:37,520
+عن odd يبقى عدد الـ transposition is even أو الـ
+
+34
+00:03:37,520 --> 00:03:42,160
+permutation هذه بقول عنها even وإن كان العدد هذا
+
+35
+00:03:42,160 --> 00:03:45,840
+even يبقى الـ permutation بقول عنها أو odd وهكذا
+
+36
+00:03:45,840 --> 00:03:51,100
+يبقى هذا المقصود بسؤال 11 إذا كان السؤال 12 يقول
+
+37
+00:03:51,100 --> 00:03:56,040
+لو كان الـ alpha even شوف للـ alpha inverse أو اثبت
+
+38
+00:03:56,040 --> 00:03:59,820
+أن الـ alpha inverse even و لو كانت الـ alpha odd
+
+39
+00:03:59,820 --> 00:04:07,260
+اثبت أن الـ alpha inverse is even يبقى هنا سؤال 12
+
+40
+00:04:07,260 --> 00:04:15,830
+يقول if الـ alpha is even أو odd then الـ alpha
+
+41
+00:04:15,830 --> 00:04:22,930
+inverse is even أو odd هذا اللي عايزين إن تبدأ
+
+42
+00:04:22,930 --> 00:04:29,450
+يبقى هنا solution حليت
+
+43
+00:04:29,450 --> 00:04:32,690
+السؤال هذا أنت يا أبو الأعداد هذه طب هذه أعداد
+
+44
+00:04:32,690 --> 00:04:38,190
+even و odd يعني حليت السؤال هذا مش مستاهل كلام
+
+45
+00:04:38,190 --> 00:04:43,660
+ذاري يعني أنت عندك الآن لو افترضت إنه alpha even
+
+46
+00:04:43,660 --> 00:04:51,600
+يبقى if الـ alpha is even معناته إن الـ alpha هذه
+
+47
+00:04:51,600 --> 00:04:56,980
+بقدر أكتبها alpha 1 alpha 2 لغاية alpha
+
+48
+00:04:56,980 --> 00:05:04,180
+2N and هدول مالهم two cycles أو transpositions
+
+49
+00:05:04,180 --> 00:05:08,720
+مظبوط يبقى هذه الـ alpha 1 والـ alpha 2 و
+
+50
+00:05:08,720 --> 00:05:12,240
+لغاية الـ alpha 2N كل واحدة فيهم الطول تبقى
+
+51
+00:05:12,240 --> 00:05:17,620
+2 يبقى كتبت على شكل في الـ cycles أوى
+
+52
+00:05:17,620 --> 00:05:22,240
+transpositions طب ليش كتبت 2N لأنه قال لي 
+
+53
+00:05:22,240 --> 00:05:28,080
+alpha is even يعني عدد هدول كلهم 2N اللي أنا 
+
+54
+00:05:28,080 --> 00:05:32,480
+بده أجيب المعكوس تبعها يبقى باجي بقوله الـ alpha
+
+55
+00:05:32,480 --> 00:05:37,780
+inverse بدها تساوي alpha 1 alpha 2 alpha
+
+56
+00:05:37,780 --> 00:05:40,640
+2N و كله inverse
+
+57
+00:05:45,080 --> 00:05:50,420
+الآن الـ inverse لهذه بعيد كتابتهم من الخلف إلى
+
+58
+00:05:50,420 --> 00:05:56,580
+الأمام على الشكل التالي alpha 2N inverse اللي 
+
+59
+00:05:56,580 --> 00:06:01,400
+جابله alpha 2N ناقص 1 inverse بضل ماشي لغاية
+
+60
+00:06:01,400 --> 00:06:07,770
+alpha 2 inverse alpha 1 inverse السؤال هو أخذته في
+
+61
+00:06:07,770 --> 00:06:12,850
+الجزء النظري إنه الـ transposition المعكوس تبعه هو
+
+62
+00:06:12,850 --> 00:06:18,250
+نفسه ولا بيختلف نفسه إذا بقدر أشيل كل واحد و أحط
+
+63
+00:06:18,250 --> 00:06:23,670
+main و أحط اللي هو نفسه إذا هذا الكلام بده يساوي
+
+64
+00:06:23,670 --> 00:06:30,550
+alpha 2N alpha 2N minus الـ 1 لغاية alpha 2 alpha
+
+65
+00:06:30,550 --> 00:06:38,790
+1 قداش عددهم هدول؟ عددهم 2N يعني even يبقى
+
+66
+00:06:38,790 --> 00:06:45,310
+هذا even تمام إذا لو كانت الـ alpha even الـ alpha
+
+67
+00:06:45,310 --> 00:06:50,510
+inverse even لو كانت الـ alpha odd يبقى الـ alpha
+
+68
+00:06:50,510 --> 00:06:57,190
+inverse كذلك odd similarly بنفس الطريقة similarly
+
+69
+00:06:57,190 --> 00:07:07,710
+if الـ alpha is odd then alpha inverse is odd
+
+70
+00:07:07,710 --> 00:07:14,490
+وانتهينا من هذه الشغلة هذه صعبة يعني برضه صعبة
+
+71
+00:07:14,490 --> 00:07:19,670
+تجيب الـ inverse تبعها وترجعها لأصلها طيب هذا سؤال
+
+72
+00:07:19,670 --> 00:07:26,310
+17 نيجي لسؤال 17 معطيني alpha و beta سؤال
+
+73
+00:07:26,310 --> 00:07:33,600
+17 معطيني alpha و beta alpha تساوي اللي هي الـ
+
+74
+00:07:33,600 --> 00:07:38,660
+permutation من 1 لغاية 6 2 3 4 
+
+75
+00:07:38,660 --> 00:07:43,720
+5 6 والصفر الثاني 2 1 3 5 2
+
+76
+00:07:43,720 --> 00:07:53,110
+1 3 5 4 و هنا 6 و beta تساوي برضه
+
+77
+00:07:53,110 --> 00:07:58,670
+من 1 لـ 6 2 3 4 5 6 والصفر
+
+78
+00:07:58,670 --> 00:08:03,210
+الثاني 6 1 2 4 6 1 2 4
+
+79
+00:08:03,210 --> 00:08:08,670
+3 5 بالشكل اللي عندنا هنا طلب مني ثلاث
+
+80
+00:08:08,670 --> 00:08:13,170
+شغلات alpha inverse و beta alpha و alpha beta طلب
+
+81
+00:08:13,170 --> 00:08:21,510
+find alpha inverse و alpha beta و beta alpha
+
+82
+00:08:30,000 --> 00:08:34,020
+الخيار يا بنجيب الـ alpha مباشرة من هذا الوضع يا
+
+83
+00:08:34,020 --> 00:08:38,400
+بنحولها للـ cycles وبعدين بنجيب الـ inverse على زي
+
+84
+00:08:38,400 --> 00:08:42,000
+ما بدك ع الشكلتين ماشي طيب احنا الآن لو بدنا نجيب
+
+85
+00:08:42,000 --> 00:08:48,400
+معكوس هذين مباشرة كيف بنجيب معكوس هذين؟ حد بيعرف؟
+
+86
+00:08:48,400 --> 00:08:50,320
+نفس نفسه
+
+87
+00:08:54,870 --> 00:08:59,970
+كيف بنجيب معكس الـ permutation اللي بتبقى مكتوبة صفين؟
+
+88
+00:08:59,970 --> 00:09:03,190
+يعني
+
+89
+00:09:03,190 --> 00:09:06,870
+إيش قال لكوا الأستاذ محمود إيش بنعمل مشان يجيب المعكوس
+
+90
+00:09:06,870 --> 00:09:13,650
+تبعها؟ إيش بنعمل؟ cycle كيش يا راجل؟ أنا ما عطيك
+
+91
+00:09:13,650 --> 00:09:16,750
+permutation اللي لأ .. ما حولتهاش لـ cycles، ما بدأت
+
+92
+00:09:16,750 --> 00:09:21,290
+يبهيكد مباشرة بدون cycles كل واحد لواحد يعني واحد
+
+93
+00:09:21,290 --> 00:09:28,900
+لواحد يعني إيش نسوي بالظبط فاهمني على أي حال كلمتين
+
+94
+00:09:28,900 --> 00:09:33,020
+أصغار مفيش غيرهم ببدل الصف الأول مكان الثاني
+
+95
+00:09:33,020 --> 00:09:36,900
+والثاني مكان الأول وبعيد ترتيب الـ permutation بس
+
+96
+00:09:36,900 --> 00:09:43,140
+جلها الكوالا ما جلهاش الكهاجر ما حسبش الكوالا معكوس
+
+97
+00:09:43,140 --> 00:09:48,340
+لـ permutation كيف؟ بتاعة الـ cycles
+
+98
+00:09:52,010 --> 00:09:55,090
+استفيد كمان هذه المعلومة مدى ما قال لكوا الطريقة هذه
+
+99
+00:09:55,090 --> 00:09:59,730
+خذها الطريقة هذه يبقى بدي أخذ الـ alpha inverse
+
+100
+00:09:59,730 --> 00:10:04,810
+يبقى يساوي الصفر الثاني 2 1 3 5 4 
+
+101
+00:10:04,810 --> 00:10:09,550
+6 1 2 3 4 5 6 يبقى هذا
+
+102
+00:10:09,550 --> 00:10:15,490
+المعكوس بس بدي أعيد الترتيب بحيث فعلًا الصف الأول
+
+103
+00:10:15,490 --> 00:10:22,550
+يكون هو الأرقام اللي اهالمرتبة ترتيب حسب وضعها
+
+104
+00:10:22,550 --> 00:10:27,690
+يفاجئ 1 2 3 4 5 6 وهيجفلنا
+
+105
+00:10:27,690 --> 00:10:32,510
+الواحد إيش صورته؟ 2 يفاجئ 2 2 إيش
+
+106
+00:10:32,510 --> 00:10:39,050
+صورته؟ 1 الآن الثلاثة صورتها 3 الخمسة 
+
+107
+00:10:39,050 --> 00:10:44,050
+صورته إيش؟ لأ قبلها الأربعة صورتها إيش صورتها 5
+
+108
+00:10:44,050 --> 00:10:49,530
+والخمسة صورتها 4 والستة صورتها 6 إذا هذا
+
+109
+00:10:49,530 --> 00:10:54,150
+المعكوس تبع الـ permutation طب ده تأكد حل الصح و
+
+110
+00:10:54,150 --> 00:10:58,150
+الله غلط ما عليك اللي تمسك هذه و تضربها في هذه
+
+111
+00:10:58,150 --> 00:11:05,620
+لازم يطلع مين identity permutation 1 2 3 4 5 6 1 2 3 4 5 6
+
+112
+00:11:05,620 --> 00:11:11,820
+تمام؟ يبقى ده تشكلك اعمله وشوف هذه صح ولا غلط بدك
+
+113
+00:11:11,820 --> 00:11:15,220
+عن طريق الـ cycles ما عندناش مشكلة زي ما علمك عن طريق
+
+114
+00:11:15,220 --> 00:11:23,300
+الـ cycles اللي علموه لك كلام صحيح مئة بالمئة على
+
+115
+00:11:23,300 --> 00:11:28,420
+أي حال هذا المطلوب اللي مطلوب الثاني قال لي بده
+
+116
+00:11:28,420 --> 00:11:34,050
+الفا بيتا الآن بدنا نجيب له alpha beta ما عليك إلا
+
+117
+00:11:34,050 --> 00:11:39,350
+تعمل الـ permutations مباشرة أوي تحولهم إلى الـ
+
+118
+00:11:39,350 --> 00:11:43,650
+cycle و تجيب إيه عشان الـ composition تبعهم حسب لكوا
+
+119
+00:11:43,650 --> 00:11:47,250
+الـ composition مباشرة زي هيك ولا زي .. يعني
+
+120
+00:11:47,250 --> 00:11:52,950
+حسب لكوا هذه طيب ماشي يا سيدي هذه الأولى هي الـ
+
+121
+00:11:52,950 --> 00:11:58,350
+alpha 1 2 3 4 5 6 2 1
+
+122
+00:11:58,350 --> 00:12:05,290
+3 5 4 6 والتاني 1 2 3
+
+123
+00:12:05,290 --> 00:12:12,630
+4 5 6 الصف الثاني 6 1 2 4
+
+124
+00:12:12,630 --> 00:12:20,820
+3 5 ويساوي بذكر تذكير يبقى بعدين ابدأ هاي
+
+125
+00:12:20,820 --> 00:12:26,840
+1 2 3 4 5 6 وهيجفلنا الآن ببدأ 
+
+126
+00:12:26,840 --> 00:12:32,580
+بالواحد ببدأ من اليمين للشمال الواحد صورته آه ستة
+
+127
+00:12:32,580 --> 00:12:37,740
+باجي طالع هنا على الستة صورتها صورتها آه يبقى
+
+128
+00:12:37,740 --> 00:12:42,740
+الواحد صورته ستة بعدين بدي اجي للاتنين اثنين
+
+129
+00:12:42,740 --> 00:12:47,860
+صورتها واحد والواحد صورتها آه اثنين يبقى اثنين ده
+
+130
+00:12:47,860 --> 00:12:52,220
+يجي اللي بعده الثلاثه صورتها اثنين واثنين صورتها
+
+131
+00:12:52,220 --> 00:12:56,560
+واحد بالشكل اللي عندنا اللي بعده وصلنا للاربعه
+
+132
+00:12:56,560 --> 00:13:01,580
+الاربعه صورتها اربعه والاربعه صورتها خمسه الخمسة
+
+133
+00:13:01,580 --> 00:13:06,460
+صورتها ثلاثه والثلاثه صورتها ثلاثه الستة صورتها
+
+134
+00:13:06,460 --> 00:13:11,910
+خمسه والخمسة صورتها اربعه زي ما انت شايف يبقى هذا
+
+135
+00:13:11,910 --> 00:13:14,230
+الـ composition انت تلاحظ انه لما تجيب ال
+
+136
+00:13:14,230 --> 00:13:19,770
+composition ولا رقم يتكرر مرتين الرقم لا يظهر إلا 
+
+137
+00:13:19,770 --> 00:13:22,530
+المرة الواحدة لأن الـ permutation هي عبارة عن
+
+138
+00:13:22,530 --> 00:13:26,670
+function وهذه الـ function one to one and onto
+
+139
+00:13:26,670 --> 00:13:31,350
+بتغطي لجميع العناصر ومافيش عنصر يشتركوا في نفس
+
+140
+00:13:31,350 --> 00:13:36,330
+الصورة على الاطلاق يبقى هذا بالنسبة للـ alpha beta
+
+141
+00:13:36,330 --> 00:13:40,530
+من الـ beta alpha زيها ما عنديش مشكله فيها طيب هذا
+
+142
+00:13:40,530 --> 00:13:46,530
+كان سؤال سبعة عشر بدنا نروح لتسعة عشر قل اتش subgroup
+
+143
+00:13:46,530 --> 00:13:57,390
+من الـ Sn سؤال تسعة عشر قل اتش subgroup من الـ Sn هذا
+
+144
+00:13:57,390 --> 00:14:11,740
+بده يعطيلك اللي هو any element of H is even or half
+
+145
+00:14:11,740 --> 00:14:16,920
+elements of 
+
+146
+00:14:16,920 --> 00:14:21,740
+S and R are even
+
+147
+00:14:31,780 --> 00:14:39,360
+قبل ما نبدأ الشغل الـ Sn فيها permutations ايش
+
+148
+00:14:39,360 --> 00:14:45,360
+even وا يش odd؟ روحنا اثبتنا له من خلال جزء النظري
+
+149
+00:14:45,360 --> 00:14:49,600
+ان الـ set of all even permutations وديناها الرمز
+
+150
+00:14:49,600 --> 00:14:55,940
+An is a subgroup من مين؟ من الـ Sn وفي المقابل قلنا
+
+151
+00:14:55,940 --> 00:14:59,080
+له the set of all odd permutation is not a
+
+152
+00:14:59,080 --> 00:15:03,560
+subgroup ليش؟ مافيش فيها الـ identity الـ identity
+
+153
+00:15:03,560 --> 00:15:08,780
+even permutation تمام اثنين لو ضربتوا odd
+
+154
+00:15:08,780 --> 00:15:12,740
+permutation يعطيني even يعني الـ operation عليها is
+
+155
+00:15:12,740 --> 00:15:18,260
+not a binary operation او is not closed under the
+
+156
+00:15:18,260 --> 00:15:21,580
+composition of functions او of permutations
+
+157
+00:15:21,930 --> 00:15:25,570
+وبالتالي مجموعة الـ odd permutation لا يمكن تكون
+
+158
+00:15:25,570 --> 00:15:28,030
+في يوم من الايام اللي هي الـ subgroup هذا السؤال
+
+159
+00:15:28,030 --> 00:15:34,710
+الموجود عندك في التمرين الان بيقولش انها اخذنا h
+
+160
+00:15:34,710 --> 00:15:40,310
+subgroup من Sn يبدأك تروح تثبت لي انه كل element من
+
+161
+00:15:40,310 --> 00:15:44,190
+h بيكون even permutation وهو واضح على الطبيعي لان
+
+162
+00:15:44,190 --> 00:15:47,330
+الـ odd permutations عمرهم مش بيعملولي الـ subgroup
+
+163
+00:15:47,330 --> 00:15:57,330
+بدكش بلاش اثبت لي ان الـ elements of h نص عناصر Sn
+
+164
+00:15:57,330 --> 00:16:03,740
+بدهم يكونوا even يعني لو كانت الـ Sn فيها عشرين عنصر
+
+165
+00:16:03,740 --> 00:16:08,680
+فعشرة even وعشرة odd هاي اللي بقوله يثبته بقوله
+
+166
+00:16:08,680 --> 00:16:13,140
+بسيطة جدا يبقى بقوليش اثبت للاثنين بقولي بكفيني منك
+
+167
+00:16:13,140 --> 00:16:17,960
+واحد اللي تقدر تثبته فيهم لانه or or تعني هذا او
+
+168
+00:16:17,960 --> 00:16:22,470
+هذا طيب ماشي تمام انا بدي احاول اتنطلع ان نص
+
+169
+00:16:22,470 --> 00:16:28,210
+العناصر تبع الـ SN بيكونوا even وبالتالي عدد الـ odd
+
+170
+00:16:28,210 --> 00:16:32,250
+permutation جد عدد الـ even permutation واعتقد ان
+
+171
+00:16:32,250 --> 00:16:35,490
+الاستاذ محمود جالكوا في الجزء النظري ان الـ order
+
+172
+00:16:35,490 --> 00:16:40,870
+للـ alternating group AN هو عبارة عن N factorial
+
+173
+00:16:40,870 --> 00:16:45,890
+على اثنين مظبوط طيب مدام جالكوا احنا بدأنا بتهدى
+
+174
+00:16:45,890 --> 00:16:52,720
+عمليا الـ A مش هنتبت عمليا بضروح افترض اني عندي odd
+
+175
+00:16:52,720 --> 00:17:03,260
+permutation beta يبقى assume that ان الـ beta is an
+
+176
+00:17:03,260 --> 00:17:10,040
+odd permutation كويس
+
+177
+00:17:12,170 --> 00:17:18,110
+طيب انا عندي odd وعندي even بدي اعرف function من
+
+178
+00:17:18,110 --> 00:17:23,090
+الـ even permutations للـ odd permutations واذا طلعت
+
+179
+00:17:23,090 --> 00:17:26,870
+هذه الـ function one to one and onto يبقى عدد ال
+
+180
+00:17:26,870 --> 00:17:32,270
+odd بصير جد عدد من الـ even يبقى عدد الـ even بيكون
+
+181
+00:17:32,270 --> 00:17:37,770
+نص عدد اللي هو الـ S انه بيكون خلصنا مظبوط يبقى
+
+182
+00:17:37,770 --> 00:17:39,630
+بداجي اقوله define
+
+183
+00:17:44,730 --> 00:17:50,370
+من الـ Alternating group of degree n إلى الـ set
+
+184
+00:17:50,370 --> 00:17:58,970
+of all odd permutations للـ S ناقص الـ An هذه ال
+
+185
+00:17:58,970 --> 00:18:03,730
+group هذه الـ set كلها
+
+186
+00:18:03,730 --> 00:18:11,520
+طيب مين هي هذا يا شباب؟ الـ Sn لما شيل منها الـ
+
+187
+00:18:11,520 --> 00:18:16,320
+even مين بيظل الـ odd يبقى هدول الـ set of all odd
+
+188
+00:18:16,320 --> 00:18:21,260
+permutations وهدى الـ set of all even permutations
+
+189
+00:18:21,260 --> 00:18:33,920
+باي فاي of alpha بده يسوى alpha beta مثلا بتتأكد
+
+190
+00:18:33,920 --> 00:18:38,450
+تعريفي صح ولا غلط انا معرف Function Phi من الـ set
+
+191
+00:18:38,450 --> 00:18:41,490
+of all even permutation للـ set of all odd
+
+192
+00:18:41,490 --> 00:18:46,090
+permutation باي Phi of Alpha يبقى Alpha ياش even
+
+193
+00:18:46,090 --> 00:18:52,390
+موجودة في الـ a in بدت روح لمين للـ odd الان هذه
+
+194
+00:18:52,390 --> 00:18:57,850
+even وهذه ايش فرضها انا odd طب odd في even ايش
+
+195
+00:18:57,850 --> 00:19:05,090
+بيعطيني odd في even آه يبقى آه يبقى ميه الميه هذه
+
+196
+00:19:05,090 --> 00:19:09,170
+موجودة هنا يبقى تعريف سليم مائه بالمائه هذه ال
+
+197
+00:19:09,170 --> 00:19:11,790
+function لو جلسنا نثبت انها one to one and انتوا
+
+198
+00:19:11,790 --> 00:19:16,030
+بيقول خلصنا بصير عدد الـ odd permutation جد عدد الـ
+
+199
+00:19:16,030 --> 00:19:21,110
+even permutation يبقى مص عناصر s ان بصيروا even
+
+200
+00:19:21,110 --> 00:19:24,210
+permutation بصيروا even permutation او odd
+
+201
+00:19:24,210 --> 00:19:29,520
+permutation زي ما بدك وهذا يتفق مع عدد الـ a n يسوى
+
+202
+00:19:29,520 --> 00:19:33,440
+n factorial على اثنين اللي اقالكمين الاستاذ محمود
+
+203
+00:19:33,440 --> 00:19:39,480
+يبقى الان انا بتدعي ان فاي is one to one مشان هيك
+
+204
+00:19:39,480 --> 00:19:47,180
+بدأت اخذ صورتين متساويتين assume that ان في of
+
+205
+00:19:47,180 --> 00:19:53,130
+alpha one يسوى في of alpha two اذا قلت اثبت ان الفا
+
+206
+00:19:53,130 --> 00:19:58,430
+وان يتساوي الفا تو بتم المطلوب يبقى بناء عليه هذا
+
+207
+00:19:58,430 --> 00:20:05,910
+معناته ان الفا وان بيتا يساوي الفا تو بيتا بال
+
+208
+00:20:05,910 --> 00:20:10,170
+right cancellation law يبقى هذا ما يريد ان يعطيك
+
+209
+00:20:10,170 --> 00:20:17,270
+ان الفا وان يتساوي الفا تو لذلك فاي هو واحد تو
+
+210
+00:20:17,270 --> 00:20:26,390
+واحد بدي اثبت الان الـ fi is onto يفجر بروح اخد let
+
+211
+00:20:26,390 --> 00:20:33,030
+هه بديش اقول بي تبدى سميها مثلا جاما موجودة في
+
+212
+00:20:33,030 --> 00:20:39,330
+الاس ان نقص الام يعني اخدت element موجود في ال
+
+213
+00:20:39,330 --> 00:20:44,110
+code domain تبع الـ function وبدي اثبت انه له اصل
+
+214
+00:20:44,110 --> 00:20:46,890
+في الـ domain اللي عندنا then
+
+215
+00:20:50,300 --> 00:20:56,780
+الـ gamma is odd مظبوط ولا لا؟ ليش؟ لانها موجودة
+
+216
+00:20:56,780 --> 00:21:02,120
+في الـ set of all odd permutation implies that ممكن
+
+217
+00:21:02,120 --> 00:21:10,190
+اكتب الجامعة هذه على الشكل alpha beta يعني حاصل ضرب
+
+218
+00:21:10,190 --> 00:21:15,470
+even في قد اللي هو مين قد صح ولا لا يبقى هالكلام
+
+219
+00:21:15,470 --> 00:21:20,310
+هذا ممكن ولا غير ممكن الاجابة ممكن لان هذه قد وهذه
+
+220
+00:21:20,310 --> 00:21:26,830
+قد فعلا طب حسب الـ definition هذه بتعطينا مين فاي of
+
+221
+00:21:26,830 --> 00:21:31,610
+alpha يبقى جاما حتى في الـ code main لقيت اللي اصل
+
+222
+00:21:31,610 --> 00:21:35,990
+في الـ domain اللي هو alpha يبقى بناء عليه فاي is
+
+223
+00:21:35,990 --> 00:21:44,150
+onto يبقى بناء عليه اللي هو الـ فاي is one to one
+
+224
+00:21:44,150 --> 00:21:50,430
+and onto مدام one to one and one to hada بده يعطينا
+
+225
+00:21:50,430 --> 00:21:57,530
+ان الـ order للـ AN بده ساوي الـ order للـ SN ناقص ال
+
+226
+00:21:57,530 --> 00:22:09,610
+AM هذا بده يعطينا اللي هو half of the elements of
+
+227
+00:22:09,610 --> 00:22:18,670
+SN is even يبقى نصهم بيكون even مثل ما طلب في
+
+228
+00:22:18,670 --> 00:22:31,410
+السؤال وهو المطلوب طيب
+
+229
+00:22:31,410 --> 00:22:39,930
+هذا كان سؤال تسعة عشر الان بعد تسعة عشر انا سؤال
+
+230
+00:22:39,930 --> 00:22:45,530
+اثنين وعشرين مائتين alpha و beta موجودة في Sn و
+
+231
+00:22:45,530 --> 00:22:49,490
+اثبت ان الـ alpha inverse beta inverse alpha beta
+
+232
+00:22:49,490 --> 00:22:55,890
+even permutation على طول الخط الان سؤال اثنين
+
+233
+00:22:55,890 --> 00:23:03,130
+وعشرين بقولي alpha و beta موجودة في الـ Sn اثبت انه
+
+234
+00:23:03,830 --> 00:23:11,190
+Alpha inverse Beta inverse Alpha Beta is even
+
+235
+00:23:11,190 --> 00:23:12,350
+دائما وابدا
+
+236
+00:23:26,840 --> 00:23:29,940
+محطليش ميودة على alpha و beta اللهم إلا
+
+237
+00:23:29,940 --> 00:23:34,240
+permutation موجودة في الـ Sn هل even و odd خد زي ما
+
+238
+00:23:34,240 --> 00:23:39,820
+بدك اذا انا عندي ثلاث احتمالات العربية عليها
+
+239
+00:23:39,820 --> 00:23:44,060
+الاحتمال الاول ان alpha و beta التنتين even
+
+240
+00:23:44,060 --> 00:23:48,800
+الاحتمال الثاني ان alpha و beta التنتين odd
+
+241
+00:23:48,800 --> 00:23:54,450
+الاحتمال الثالث واحدة odd واحدة even مش هيك على كده
+
+242
+00:23:54,450 --> 00:23:58,290
+الاحتمالات الثلاثه بدي اثبت له انه حصل ضربة ده او
+
+243
+00:23:58,290 --> 00:24:02,810
+حصل composition ما بين الاربع permutation even
+
+244
+00:24:02,810 --> 00:24:09,990
+تمام يبقى الان بداية اخدله المقطة الاولى if alpha
+
+245
+00:24:09,990 --> 00:24:19,150
+and beta are even then الـ alpha inverse beta
+
+246
+00:24:19,150 --> 00:24:26,090
+inverse alpha beta توا قبل قليل اثبتنا انه لو كانت
+
+247
+00:24:26,090 --> 00:24:29,990
+الـ alpha even يبقى معكوسة even لو كانت الـ alpha
+
+248
+00:24:29,990 --> 00:24:36,030
+odd يبقى معكوسة odd كذلك اذا هذه الاولى even
+
+249
+00:24:36,030 --> 00:24:43,350
+والثانية even والثالثة even والرابعة even يبقى
+
+250
+00:24:43,350 --> 00:24:50,310
+ناتج جداش يبقى ان كانوا التنتين even في المجموع او 
+
+251
+00:24:50,310 --> 00:24:55,900
+ال composition ما بينهم even الحالة الثانية لو كانت
+
+252
+00:24:55,900 --> 00:25:05,880
+ال alpha and ال beta are both odd تمام then ايش 
+
+253
+00:25:05,880 --> 00:25:11,000
+اللي بدي يحصل ال alpha inverse beta inverse alpha
+
+254
+00:25:11,000 --> 00:25:16,640
+beta بتبقى على الشكل التالي الحين التنتين odd يبقى
+
+255
+00:25:16,640 --> 00:25:24,380
+المعكوس تبعهم odd تمام يبقى odd والتانية odd
+
+256
+00:25:24,380 --> 00:25:32,200
+والتالتة odd والرابعة odd لكن odd زائد odd ايش
+
+257
+00:25:32,200 --> 00:25:38,500
+بتعطينا؟ even و odd زائد odd التانية بتعطينا؟ و
+
+258
+00:25:38,500 --> 00:25:42,440
+even زائد even ايش بتعطينا؟ even يبقى على كل
+
+259
+00:25:42,440 --> 00:25:46,360
+الأمرين سواء التنتين odd أو التنتين even الناتج
+
+260
+00:25:46,360 --> 00:25:54,050
+even وصلنا للحالة الثالثة والأخيرة لو كانت ال alpha
+
+261
+00:25:54,050 --> 00:26:03,330
+is odd and beta is even then بدنا ناخد alpha
+
+262
+00:26:03,330 --> 00:26:09,370
+inverse beta inverse alpha beta الان alpha odd
+
+263
+00:26:09,370 --> 00:26:18,080
+يبقى معكوسة كذلك odd الان beta even يبقى معكوسة
+
+264
+00:26:18,080 --> 00:26:25,140
+even alpha قلنا عليها odd و beta even هذا الكلام
+
+265
+00:26:25,140 --> 00:26:31,420
+بده يساوي اطلعلي لهذه اض زائد اد شو بتعطينا even
+
+266
+00:26:31,420 --> 00:26:40,520
+يبقى even هو عندك زائد even زائد even يبقى كل وش
+
+267
+00:26:40,520 --> 00:26:45,880
+بيعطيلك even على كل الاحتمالات الممكنة فإن ال
+
+268
+00:26:45,880 --> 00:26:50,260
+composition بين الأربعة permutations دائما و أبدا
+
+269
+00:26:50,260 --> 00:26:57,680
+even هي permutation يبقى هنا س ال alpha inverse
+
+270
+00:26:57,680 --> 00:27:04,400
+beta inverse alpha beta is even لكل ال alpha و
+
+271
+00:27:04,400 --> 00:27:10,300
+beta اللي موجودة في مين موجودة في sn بلا استثناء
+
+272
+00:27:34,070 --> 00:27:39,810
+طيب هذا كان سؤال اتنين وعشرين الان بدنا نروح لسؤال
+
+273
+00:27:39,810 --> 00:27:44,810
+ستة وعشرين بيقول لي اثبت ان ال cycle واحد اتنين
+
+274
+00:27:44,810 --> 00:27:51,290
+تلاتة اربعة is not the product of three cycle يبقى
+
+275
+00:27:51,290 --> 00:28:00,270
+هنا ستة وعشرين show that ان واحد اتنين تلاتة اربعة
+
+276
+00:28:00,270 --> 00:28:10,170
+is not is a product of three cycles هذا الكلام مش
+
+277
+00:28:10,170 --> 00:28:17,990
+ممكن يحصل أبدا طيب تعالى نشوف صحة هذا الكلام الان
+
+278
+00:28:17,990 --> 00:28:24,030
+ال permutation هادي even والله odd يا شباب odd
+
+279
+00:28:24,030 --> 00:28:30,530
+اتكلمتش عن ال order لها ال order لها يسبب أربعة
+
+280
+00:28:30,530 --> 00:28:36,710
+صحيح وهو طول ال cycle مظبوط انا اتكلمت اكمتوا cycle
+
+281
+00:28:36,710 --> 00:28:43,310
+بتقدر تكون منها تلاتة اذا هذه odd فباجي بقوله هنا
+
+282
+00:28:43,310 --> 00:28:50,950
+solution يبقى the cycle او the permutation
+
+283
+00:28:50,950 --> 00:28:54,470
+permutation
+
+284
+00:28:54,470 --> 00:29:02,430
+اللي هو واحد اتنين تلاتة او اربعة is odd أد ليش؟
+
+285
+00:29:02,430 --> 00:29:10,470
+لأنه تلاتة transpositions هي تلاتة اللي هو واحد
+
+286
+00:29:10,470 --> 00:29:15,570
+اربعة واحد تلاتة واحد اتنين تمام يبقى هذه اد بدي
+
+287
+00:29:15,570 --> 00:29:23,310
+افترض جدلا ان جدرت اكتب هذه على شكل cycle واحدة
+
+288
+00:29:23,310 --> 00:29:27,730
+طولها يساوي تلاتة يبقى لما اكتب ال cycle طولها
+
+289
+00:29:27,730 --> 00:29:32,150
+تلاتة even والله اديعني بنفعل permutation تكون
+
+290
+00:29:32,150 --> 00:29:37,530
+even و odd معناته فيه شغل غلط يبقى اللي فرضته أنا
+
+291
+00:29:37,530 --> 00:29:42,110
+هذا غلط و عكسه هو الصح إذا لا يمكن كتابة ال
+
+292
+00:29:42,110 --> 00:29:46,630
+permutation اللي عندي على شكل three cycle وماقلش
+
+293
+00:29:46,630 --> 00:29:51,030
+three cycle قال لي product وين قال لي product of
+
+294
+00:29:51,030 --> 00:29:57,000
+three cycles بدي أفترضي الآنان بقدر اكتبها على شكل
+
+295
+00:29:57,000 --> 00:30:02,160
+product of three cycles وشوف هذا فرضي بوصلني الى
+
+296
+00:30:02,160 --> 00:30:06,980
+نتيجة صحيحة ولا الى نتيجة خاطئة اذا وصلني الى
+
+297
+00:30:06,980 --> 00:30:12,260
+نتيجة صحيحة معناته شغل صح وصلني الى نتيجة خاطئة
+
+298
+00:30:12,260 --> 00:30:17,060
+معناته فرض اللي انا فرضته خطأ وعكسه ايه هو الصح
+
+299
+00:30:17,060 --> 00:30:19,920
+اذا هروح اقول assume
+
+300
+00:30:22,800 --> 00:30:32,800
+إن الواحد اتنين تلاتة أربعة is a product of three
+
+301
+00:30:32,800 --> 00:30:41,400
+cycles that is I N الواحد اتنين تلاتة أربعة بدي
+
+302
+00:30:41,400 --> 00:30:51,420
+أكتب على شكل ABC في DEF بالشكل اللي عندنا هي
+
+303
+00:30:51,420 --> 00:30:59,900
+product of three cycles then الان
+
+304
+00:30:59,900 --> 00:31:09,060
+ال a,b,c في d,e,f يساوي بدي اكتبها على شكل
+
+305
+00:31:09,060 --> 00:31:17,800
+transposition يبقى هذا بدي يعطينا a,c و هنا a,b و
+
+306
+00:31:17,800 --> 00:31:26,210
+التانية d,f والتالتة دي ايه؟ كده عددهم؟ اربعة يعني
+
+307
+00:31:26,210 --> 00:31:32,930
+even صح ولا لا؟ يعني معناته هذه even permutation
+
+308
+00:31:32,930 --> 00:31:41,070
+ايش
+
+309
+00:31:41,070 --> 00:31:45,090
+رأيك؟ وصلنا للتناقض ولا لا؟ مش واحد اتنين تلاتة
+
+310
+00:31:45,090 --> 00:31:51,130
+اربعة قدلما كتبت على شكل three ال cycle صارت ايش؟
+
+311
+00:31:51,130 --> 00:31:56,810
+صارت even يبقى هذه even تسمح له أنه وصلنا إلى
+
+312
+00:31:56,810 --> 00:32:02,510
+contradiction يبقى هذا تناقض معناته فرض اللي انا
+
+313
+00:32:02,510 --> 00:32:10,250
+فرضته هذا صح ولا غلط؟ غلط يبقى هنا so الواحد اتنين
+
+314
+00:32:10,250 --> 00:32:24,680
+تلاتة اربع كانت ب written as a product of three
+
+315
+00:32:24,680 --> 00:32:31,250
+cycles طيب يجي واحد تاني يقولي انت خدتين تانى طب
+
+316
+00:32:31,250 --> 00:32:34,690
+انا ممكن احط كمان واحدة تالتة اقوله حط مش تالتة حط
+
+317
+00:32:34,690 --> 00:32:37,990
+رابعة او خمسة او سادة او زى ما بدك الحين اللى ما
+
+318
+00:32:37,990 --> 00:32:41,230
+تحطلي كمان واحدة three cycle هدول عددهم اربعة
+
+319
+00:32:41,230 --> 00:32:46,530
+الواحدة بتجيبلي قداش two transposition بتصير قداش؟
+
+320
+00:32:46,530 --> 00:32:50,910
+ستة يعني even لو اخدتين تانى مش واحدة بتجيبلك
+
+321
+00:32:50,910 --> 00:32:55,650
+اربعة او اربعة تمانية even وهكذا يعني أيش ما تحط في
+
+322
+00:32:55,650 --> 00:33:00,070
+three cycles بتطلع even يبقى هذا الكلام غير ممكن
+
+323
+00:33:00,070 --> 00:33:05,570
+على الإطلاق وبالتالي هذه مالها دائما و أبدا لا
+
+324
+00:33:05,570 --> 00:33:13,670
+يمكن كتابت على شكل product of three cycles طيب هذا
+
+325
+00:33:13,670 --> 00:33:19,870
+كان سؤال ستة و عشرين سبعة و عشرين جالي beta موجودة
+
+326
+00:33:19,870 --> 00:33:28,970
+في S7 جالي سبعة و عشرين Beta موجودة في أس سبعة
+
+327
+00:33:28,970 --> 00:33:37,730
+وزيادة على ذلك جالي ال Beta أس أربعة ال Beta أس
+
+328
+00:33:37,730 --> 00:33:41,990
+أربعة ليه اتنين واحد اربعة تلاتة اتنين واحد اربعة
+
+329
+00:33:41,990 --> 00:33:50,630
+تلاتة خمسة ستة سبعة خمسة ستة سبعة جالي find Beta
+
+330
+00:33:53,520 --> 00:33:58,940
+بيتا بده اعرف البيتا هذه ايه شكلها يعني ما هي شكل
+
+331
+00:33:58,940 --> 00:34:06,020
+العناصر او قداش ما هي العناصر الموجودة في اللي هو
+
+332
+00:34:06,020 --> 00:34:09,720
+بيتا علم ان بيتا أقصى أربعة بالشكل اللي عندنا هذا
+
+333
+00:34:09,720 --> 00:34:16,480
+حد فيك وحل السؤال هذا احليت يعني ايوة احكي الفكرة
+
+334
+00:34:16,480 --> 00:34:20,940
+شوف مربع البيت أربعة وربيحها ال CBS تانية وعند ال
+
+335
+00:34:20,940 --> 00:34:28,640
+order البيت سبعة أشعر فك أن ال order لل بيسم يعني كل
+
+336
+00:34:28,640 --> 00:34:36,700
+element موجود في ال سبعة ال order له سبعة هي
+
+337
+00:34:36,700 --> 00:34:42,300
+موجودة في السبعة أنا موافق أنها موجودة في السبعة
+
+338
+00:34:42,300 --> 00:34:45,020
+لكن هل ال order له يسوى سبعة
+
+339
+00:34:50,030 --> 00:34:53,610
+أنا منافق إنها سبعة بس كيف جيبتها بك تثبتها مش
+
+340
+00:34:53,610 --> 00:34:58,210
+عشوائية واخ بتطلع غير انه طلعت سبعة ها هي سبعة صح
+
+341
+00:34:58,210 --> 00:35:03,410
+بس كيف نثبتها بتثبت ان ال order ل beta يساوي سبعة
+
+342
+00:35:03,410 --> 00:35:09,470
+حتى يطلع كلامك صحيح الحين هذي beta أُس أربعة ال
+
+343
+00:35:09,470 --> 00:35:13,730
+order لها كمان يساوي سبعة ليش ان هاي هال cycle
+
+344
+00:35:13,730 --> 00:35:19,260
+كلها سبعة و كلهم are disjoint elements مظبوط يعني
+
+345
+00:35:19,260 --> 00:35:23,860
+هذه permutation او cycle موجودة في السبعة صحيح وال
+
+346
+00:35:23,860 --> 00:35:27,960
+order الها يساوي طولها يساوي السبعة صحيح هذا ال
+
+347
+00:35:27,960 --> 00:35:32,520
+order ل beta اربعة يساوي سبعة انا بد ال order ل
+
+348
+00:35:32,520 --> 00:35:37,340
+beta وبالتالي اذا جبت ال order ل beta صارت قصتنا
+
+349
+00:35:37,340 --> 00:35:44,670
+بسيطة تمام طيب نرجع هنانرجع هنا مرة تانية من خلال
+
+350
+00:35:44,670 --> 00:35:49,370
+الكلام اللي احنا كتبينه خليني اسألكوا سؤال لستاذ
+
+351
+00:35:49,370 --> 00:35:55,050
+محمود حسبلكوا جداش ال order .. اي جداش ال order لل
+
+352
+00:35:55,050 --> 00:36:01,110
+elements لل S7 جداش
+
+353
+00:36:01,110 --> 00:36:05,170
+ال orders الممكنة لعناصر S7
+
+354
+00:36:07,770 --> 00:36:11,930
+جديش؟ مش عدد العناصر بتكلمش عن عدد العناصر،
+
+355
+00:36:11,930 --> 00:36:14,530
+العناصر كله عارف أنه السبعة فقه سبعة factorial
+
+356
+00:36:14,530 --> 00:36:22,130
+بقول ال order لعناصر ل group السبعة، جيش ال orders
+
+357
+00:36:22,130 --> 00:36:30,150
+الممكنة؟ من واحد لسبعة بس، مزيدش أكتر من هيك؟ طب
+
+358
+00:36:30,150 --> 00:36:34,750
+احنا مشان نجيب ال order ل cycles كيف بجيب ال order
+
+359
+00:36:34,750 --> 00:36:40,290
+لcycles مضربات في بعض؟ two cycles مثلا هذه طولها
+
+360
+00:36:40,290 --> 00:36:44,610
+تلاتة وهذه طولها خمسة وموافق التنتين دوس جوينت
+
+361
+00:36:44,610 --> 00:36:48,150
+تلاتة وخمسة يعني التنتين دوس جوينت ال least common
+
+362
+00:36:48,150 --> 00:36:53,810
+multiple ممتاز جدا يبقى لو عندي cycle واحدة فال
+
+363
+00:36:53,810 --> 00:36:58,770
+order لها يساوي طولها إذا عندي تنتين والتنتين are
+
+364
+00:36:58,770 --> 00:37:02,630
+disjoint بجيب ال least common multiple للإتنين
+
+365
+00:37:02,630 --> 00:37:06,590
+بيكون هو ال order لل permutation لو كانوا التلاتة
+
+366
+00:37:06,590 --> 00:37:10,410
+والتلاتة are disjoint بجيب ال is common multiple
+
+367
+00:37:10,410 --> 00:37:15,290
+للتلاتة وبالتالي هذا هو ال order لهم تمام يبقى
+
+368
+00:37:15,290 --> 00:37:20,630
+الآن ما هي ال orders الممكنة لعناصر السبعة هذا
+
+369
+00:37:20,630 --> 00:37:25,030
+ضروري لازم لفي العلم لازم اعرفهم وهو مثال محلول
+
+370
+00:37:25,030 --> 00:37:29,770
+عندك في الكتاب يعني الأستاذ محمود لازم يكون شرحه
+
+371
+00:37:29,770 --> 00:37:37,080
+مائة بالمائة أه مين مذكر ال orders يعني مغششك في
+
+372
+00:37:37,080 --> 00:37:42,160
+صفحة قداش كمان يا سيدي هذا في الكتاب موجود عندك
+
+373
+00:37:42,160 --> 00:37:49,080
+تفصيليا المثال يا سيدي المثال في الكتاب اللي هو
+
+374
+00:37:49,080 --> 00:37:58,080
+صفحة 102 و 103 example 4 صفحة 102 و 103 أكيد
+
+375
+00:37:58,080 --> 00:38:00,500
+شرحلكوا تفصيليا
+
+376
+00:38:02,040 --> 00:38:07,740
+أي نعم اثنين ناقش لكل مسائل من واحد إلى عشرة اطلع لي
+
+377
+00:38:07,740 --> 00:38:12,180
+في سؤال سبعة في الأسئلة بتلاقي نفس السؤال السؤال 
+
+378
+00:38:12,180 --> 00:38:15,520
+السابعة بيقول لي what are the possible orders of the
+
+379
+00:38:15,520 --> 00:38:22,420
+elements of A6 وA6 و what about A7 يعني معناه إذا 
+
+380
+00:38:22,420 --> 00:38:26,340
+ما انشرح في النظري انحل في المحاضرة بس أنت مش
+
+381
+00:38:26,340 --> 00:38:29,850
+قاري هذه القصة ثانية بتقول أعداد ما هذه الأعداد طب
+
+382
+00:38:29,850 --> 00:38:34,810
+تروح تراجع في الكتاب و ال orders واحد اثنين ثلاثة
+
+383
+00:38:34,810 --> 00:38:42,250
+أربعة خمسة ستة سبعة ثمانية عشر اثنا عشر هدول بس يبقى الآن
+
+384
+00:38:42,250 --> 00:38:47,390
+the solution the
+
+385
+00:38:47,390 --> 00:38:52,650
+possible orders
+
+386
+00:38:52,650 --> 00:39:04,140
+the possible orders of the elements of
+
+387
+00:39:04,140 --> 00:39:11,540
+السبعة are الواحد والاثنين والثلاثة والأربعة
+
+388
+00:39:11,540 --> 00:39:18,460
+والخمسة والستة والسبعة والعشرة والثمانية عشر خلّي
+
+389
+00:39:18,460 --> 00:39:24,000
+هؤلاء العشاق نعود لهم بعد قليل الآن نعود لمن؟
+
+390
+00:39:24,000 --> 00:39:30,080
+لصاحبتنا هذا البيت أربعة الآن ال order ل beta 4
+
+391
+00:39:30,080 --> 00:39:38,020
+يساوي طولها كم طولها سبعة يبقى سبعة هذا معناه أن
+
+392
+00:39:38,020 --> 00:39:43,140
+beta أس أربعة أس سبعة ستعطي ال identity
+
+393
+00:39:43,140 --> 00:39:51,110
+permutation هذا معناه أن بيتا أس ثمانية وعشرين بده
+
+394
+00:39:51,110 --> 00:39:57,590
+يساوي ال identity السؤال هو ما علاقة ال order تبع
+
+395
+00:39:57,590 --> 00:40:04,790
+بيتا بالثمانية والعشرين يجي اسمه ممتاز جدا الآن هذا
+
+396
+00:40:04,790 --> 00:40:11,450
+بده يعطينا أن ال order لبيتا divide الثمانية
+
+397
+00:40:11,450 --> 00:40:19,360
+وعشرين طيب كل ال possible orders هاي هم قدامي يبقى
+
+398
+00:40:19,360 --> 00:40:25,720
+بده أروح أدور مين منهم بيقسم ال 28 يبقى باجي بقول
+
+399
+00:40:25,720 --> 00:40:31,540
+saw the possible orders
+
+400
+00:40:31,540 --> 00:40:42,300
+of beta R الواحد بيقسم ال 28 والاثنين يقسم الـ 28
+
+401
+00:40:42,300 --> 00:40:50,880
+والأربعة يقسم الـ 28 والسبعة يقسم الـ 28 في غيرهم
+
+402
+00:40:50,880 --> 00:40:56,240
+تقول الـ 14 بقول لك الـ 14 مش منهم ما فيش عندي
+
+403
+00:40:56,240 --> 00:41:01,140
+permutation في السبعة ال order إلى يساوي 14 يبقى أنا
+
+404
+00:41:01,140 --> 00:41:06,780
+بدي آخذ من هدول الأرقام اللي بتقسم للثمانية والعشرين
+
+405
+00:41:06,780 --> 00:41:12,040
+طلعت هذه الآن إذا استبعدت الواحد واثنين والأربعة
+
+406
+00:41:12,040 --> 00:41:17,120
+بيصير ال order ل beta هو سبعة مظبوط هيك دي أخ
+
+407
+00:41:17,120 --> 00:41:23,780
+العران شو اسمك أنت؟ على إيش؟ على أبعودة على أبعودة
+
+408
+00:41:23,780 --> 00:41:29,380
+خلانا نعود إلى السؤال من جديد يعني إحنا بدنا نوصل
+
+409
+00:41:29,380 --> 00:41:32,840
+لكلام اللي قاله أن ال order يساوي سبعة وإني بصمته
+
+410
+00:41:32,840 --> 00:41:36,580
+بس سألنا كيف قال خبطها من عندي ما فيش حاجة يسمع
+
+411
+00:41:36,580 --> 00:41:41,880
+خبطها ما تش تشتغل رياضي سليم تمام الآن باجي أقول له
+
+412
+00:41:41,880 --> 00:41:48,780
+if ال order ل beta كان يساوي واحد هل هذا ممكن ولا 
+
+413
+00:41:48,780 --> 00:41:54,700
+غير ممكن غير ممكن أن بيتا لا يمكن يساوي ال identity
+
+414
+00:41:54,700 --> 00:42:00,980
+بدليل أن بيتا أس أربعة تساوي هذه لو كانت بيتا تساوي
+
+415
+00:42:00,980 --> 00:42:04,280
+ال identity ليه كان بيتا أس أربعة يساوي ال identity
+
+416
+00:42:04,280 --> 00:42:11,480
+يبقى ال order لبيتا يساوي واحد impossible غير ممكن
+
+417
+00:42:11,480 --> 00:42:19,500
+السبب because أن بيتا لا يساوي ال identity
+
+418
+00:42:19,500 --> 00:42:24,460
+permutation لأن لو كانت ال beta بال identity يبقى
+
+419
+00:42:24,460 --> 00:42:28,640
+beta و أربعة بال identity يبقى هذا مستبعد تماما
+
+420
+00:42:28,640 --> 00:42:41,880
+طيب نيجي نأخذ الاحتمال الثاني بعدك
+
+421
+00:42:41,880 --> 00:42:48,750
+باجي بقول له لو كان ال order ل beta بده يساوي أربعة
+
+422
+00:42:48,750 --> 00:42:57,190
+اسمع يا راجل then تمام ال beta أس أربعة بده يساوي
+
+423
+00:42:57,190 --> 00:43:01,870
+ال identity هذا كلام حقيقي لأ لأن beta أس أربعة
+
+424
+00:43:01,870 --> 00:43:14,310
+هيها يبقى هنا this is impossible ليش because إن الـ
+
+425
+00:43:14,310 --> 00:43:20,890
+beta أس أربعة ليست ال identity وإنما تساوي وراحت
+
+426
+00:43:20,890 --> 00:43:26,790
+اثنين واحد أربعة ثلاثة اثنين واحد أربعة ثلاثة خمسة
+
+427
+00:43:26,790 --> 00:43:32,550
+ستة سبعة هذا اللي مستعجل عليه الاحتمال الثالث اللي
+
+428
+00:43:32,550 --> 00:43:40,430
+هو F بتا تربيع بده يساوي اثنين ثم بتا تربيع بده
+
+429
+00:43:40,430 --> 00:43:43,690
+يساوي اثنين ثم بتا تربيع بده يساوي اثنين ثم بتا
+
+430
+00:43:43,690 --> 00:43:51,930
+تربيع بده يساوي اثنين ثم بتا تربيع بده يساوي اثنين
+
+431
+00:43:52,550 --> 00:43:58,650
+يبقى سؤال order ل beta كده؟ سبعة يبقى سؤال order ل
+
+432
+00:43:58,650 --> 00:44:03,850
+beta بده يساوي السبعة يعني معناه beta و السبعة بده
+
+433
+00:44:03,850 --> 00:44:10,310
+يساوي من ال identity element طب أنا بدي beta بقدر
+
+434
+00:44:10,310 --> 00:44:17,790
+أجيب أو أخليك من هنا beta؟ كيف؟ واضرب في Beta يبقى
+
+435
+00:44:17,790 --> 00:44:24,470
+لو ضربت في Beta بيصير Beta أس ثمانية بده يساوي Beta
+
+436
+00:44:24,470 --> 00:44:32,150
+يبقى صارت Beta بدها تساوي Beta أس أربعة في Beta أس
+
+437
+00:44:32,150 --> 00:44:38,160
+أربعة ليه Beta أس ثمانية؟ مظبوط هذا معناه أن بيتا
+
+438
+00:44:38,160 --> 00:44:43,000
+تساوي بيتا أس أربعة هي جاهزة عندنا اثنين واحد
+
+439
+00:44:43,000 --> 00:44:49,940
+أربعة ثلاثة خمسة ستة سبعة خمسة ستة سبعة اثنين واحد
+
+440
+00:44:49,940 --> 00:44:59,690
+أربعة ثلاثة خمسة ستة سبعة يبقى صورة beta تساوي يبقى
+
+441
+00:44:59,690 --> 00:45:03,890
+صورة
+
+442
+00:45:03,890 --> 00:45:14,650
+تساوي
+
+443
+00:45:14,650 --> 00:45:15,290
+يبقى صورة تساوي يبقى صورة تساوي يبقى صورة تساوي
+
+444
+00:45:15,290 --> 00:45:20,350
+يبقى تمام الآن وصلتي للتلاتة التلاتة موجودة هنا
+
+445
+00:45:20,350 --> 00:45:26,070
+موجودة صورتها مين؟ و الخمسة مين صورتها؟ هاي الستة
+
+446
+00:45:26,070 --> 00:45:31,130
+الستة صورتها سبعة و السبعة صورتها اثنين صورته واحد
+
+447
+00:45:31,130 --> 00:45:36,270
+و الواحد صورته الأربعة صورته ثلاثة و الثلاثة صورته
+
+448
+00:45:36,270 --> 00:45:41,830
+الخمسة صورته ستة و الستة صورتها سبعة السبعة صورتها
+
+449
+00:45:41,830 --> 00:45:46,770
+اثنين و اثنين صورتها واحد جفلت طب السؤال هو خلصنا و
+
+450
+00:45:46,770 --> 00:45:51,070
+لا ضايق الأرقام واحد اثنين ثلاثة أربعة خمسة ستة
+
+451
+00:45:51,070 --> 00:45:55,390
+سبعة تمام خلصنا يبقى إيه ال cycle يبقى هذه ال beta
+
+452
+00:45:55,390 --> 00:46:01,110
+اللي عندنا تمام يبقى هذا الشغل الرياضي بيخرج شمال
+
+453
+00:46:01,110 --> 00:46:06,950
+ولا واحد بيقدر يقول لك إنه في شغلة ضعيفة أو شغلة غلطة
+
+454
+00:46:06,950 --> 00:46:11,670
+بس تقول لي إنها سبعة مباشرة حأحط لك علامة تفهم لو كان
+
+455
+00:46:11,670 --> 00:46:16,210
+السؤال يجيلك ويقول لك why يعني كيف نزلت من السماء ال
+
+456
+00:46:16,210 --> 00:46:20,550
+order يساوي سبعة لأ هو لو قلت لي ال order ل beta
+
+457
+00:46:20,550 --> 00:46:23,470
+أس أربعة يساوي سبعة ده ال order ل beta يساوي
+
+458
+00:46:23,470 --> 00:46:24,670
+سبعة هو كلام غلط
+
+459
+00:46:28,000 --> 00:46:34,400
+طيب، هذا كان سؤال سبعة وعشرين، الآن وصلنا لسؤال
+
+460
+00:46:34,400 --> 00:46:39,100
+تسعة وعشرين وما أدرك ما تسعة وعشرين، ها يا أخويا
+
+461
+00:46:39,100 --> 00:46:44,480
+عدوا، وشوفوا كيف حلتوا هذا، هاي السؤال تسعة وعشرين
+
+462
+00:46:46,720 --> 00:46:51,700
+تسعة و عشرين بيقول اجالي find the element sigma
+
+463
+00:46:51,700 --> 00:46:58,660
+اللي موجودة في S تسعة بدنا sigma اللي موجودة في S
+
+464
+00:46:58,660 --> 00:47:09,260
+تسعة such that اللي هو sigma تقريب بده يساوي واحد
+
+465
+00:47:09,260 --> 00:47:16,230
+خمسة سبعة واحد خمسة سبعة اثنين ثمانية ثلاثة اثنين
+
+466
+00:47:16,230 --> 00:47:23,770
+ثمانية ثلاثة و هنا أربعة ستة تسعة أربعة ستة تسعة
+
+467
+00:47:27,170 --> 00:47:32,670
+آه في عندنا sigma موجودة في اس تسعة بحيث sigma
+
+468
+00:47:32,670 --> 00:47:39,390
+تقريب يساوي هذا الرقم قلي هات لي ثلاث سيجمات بحيث
+
+469
+00:47:39,390 --> 00:47:45,890
+يعطونا الرقم هذا و السيجما هدول موجودة و انفي S9
+
+470
+00:47:45,890 --> 00:47:55,210
+يعني بدي ثلاثة permutations من S9 لو لو كعبت
+
+471
+00:47:55,210 --> 00:48:00,250
+الواحدة فيهم تعطيني حاصل ضرب ل three cycles اللي
+
+472
+00:48:00,250 --> 00:48:05,910
+عندنا هذون خلص
+
+473
+00:48:05,910 --> 00:48:12,410
+الوقت طيب بدي أعطيك واحدة لبعد الظهر تجيب لي كمان
+
+474
+00:48:12,410 --> 00:48:16,980
+غيرها تماما الواحدة بدي آخذها من الأرقام اللي
+
+475
+00:48:16,980 --> 00:48:24,180
+قدامك يبقى آخذ هي sigma one sigma one شوف كيف بدي
+
+476
+00:48:24,180 --> 00:48:29,400
+آخذها طلع معي هي جوس بدي أبدأ بالواحد هنا
+
+477
+00:48:29,400 --> 00:48:36,680
+والواحد هنا يعني أول رقم يبقى هي واحد اثنين أربع
+
+478
+00:48:36,680 --> 00:48:45,290
+بدي أبدأ بالثاني خمسة ثمانية ستة الثالث سبعة ثلاثة
+
+479
+00:48:45,290 --> 00:48:54,490
+تسعة تمام تقول لك كمان واحدة طيب سيجما اثنين من هذه
+
+480
+00:48:54,490 --> 00:48:59,830
+بدي أجيبها بدي أخلي الواحد ثابت زي ما هو بدي أقول
+
+481
+00:48:59,830 --> 00:49:05,090
+أربعة اثنين بدلت اثنين مع بعض الخمسة ثابت زي ما هو
+
+482
+00:49:05,090 --> 00:49:10,810
+ستة ثمانية بدل الستة ثمانية السابعة ثابت تسعة
+
+483
+00:49:10,810 --> 00:49:18,410
+ثلاثة تأخذ لك كمان واحدة سيجما ثلاثة بجيب لك ستة مش
+
+484
+00:49:18,410 --> 00:49:23,830
+ثلاثة بجيب لك جد ببدأك مرتين تمام يبقى sigma ثلاثة
+
+485
+00:49:23,830 --> 00:49:28,710
+أنا بدأت هنا بالواحد بدأ ابدأ بالاثنين يبقى لو قلت
+
+486
+00:49:28,710 --> 00:49:35,530
+اثنين آه آه واحد أربع بدأ ابدأ باللي في المص يبقى
+
+487
+00:49:35,530 --> 00:49:41,110
+ثمانية خمسة ستة يبقى بدأ آخذ اللي في المص يبقى
+
+488
+00:49:41,110 --> 00:49:47,050
+ثلاثة سبعة تسعة الحين أنت من هنا لبعد الظهر مسك لي
+
+489
+00:49:47,050 --> 00:49:52,450
+أي واحدة فيهم و ضربها في نفسها ثلاث مرات إذا ما
+
+490
+00:49:52,450 --> 00:49:55,330
+طلع لك الشيء الجواب هذا بتيجي ترجعني 
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/GcfT10Kln48_raw.json b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/GcfT10Kln48_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..2dc8967fce94ba21a72f74dec6b6409076de489a
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/GcfT10Kln48_raw.json
@@ -0,0 +1 @@
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381.66, "end": 405.62, "text": "يبقى ال operation a star b a union b لكل ال a و ال b اللي موجودة في ال P of x then star is a binary operation على power set because نجي نشوف ما هو السبب الآن ال operation a star b بدي يسوي a union b السؤال هو a union b هل هذه ال subset من X يا شباب؟", "tokens": [1829, 3555, 4587, 7578, 2423, 6916, 257, 3543, 272, 257, 11671, 272, 5296, 28820, 2423, 257, 4032, 2423, 272, 13672, 1829, 3714, 29245, 23328, 3660, 8978, 2423, 430, 295, 2031, 550, 3543, 307, 257, 17434, 6916, 15844, 1347, 992, 570, 8717, 7435, 1829, 8717, 8592, 38688, 19446, 31439, 21136, 3555, 3555, 6024, 48506, 2423, 6916, 257, 3543, 272, 4724, 16254, 7251, 3794, 45865, 257, 11671, 272, 21136, 33604, 6027, 31439, 257, 11671, 272, 8032, 1211, 29538, 2423, 25993, 9154, 1783, 35186, 13412, 3555, 16758, 22807], "avg_logprob": -0.27616278896498125, "compression_ratio": 1.6403940886699508, "no_speech_prob": 0.0, "words": [{"start": 381.66, "end": 382.28, "word": "يبقى", "probability": 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389.98, "word": " binary", "probability": 0.75244140625}, {"start": 389.98, "end": 390.48, "word": " operation", "probability": 0.966796875}, {"start": 390.48, "end": 390.68, "word": " على", "probability": 0.73974609375}, {"start": 390.68, "end": 390.98, "word": " power", "probability": 0.498291015625}, {"start": 390.98, "end": 391.28, "word": " set", "probability": 0.71337890625}, {"start": 391.28, "end": 392.06, "word": " because", "probability": 0.51611328125}, {"start": 392.06, "end": 392.48, "word": " نجي", "probability": 0.67919921875}, {"start": 392.48, "end": 392.9, "word": " نشوف", "probability": 0.9469401041666666}, {"start": 392.9, "end": 393.16, "word": " ما", "probability": 0.95263671875}, {"start": 393.16, "end": 393.6, "word": " هو", "probability": 0.9482421875}, {"start": 393.6, "end": 394.42, "word": " السبب", "probability": 0.9803059895833334}, {"start": 394.42, "end": 395.76, "word": " الآن", "probability": 0.6163330078125}, {"start": 395.76, "end": 396.42, "word": " ال", "probability": 0.96484375}, {"start": 396.42, "end": 397.12, "word": " operation", "probability": 0.96240234375}, {"start": 397.12, "end": 397.5, "word": " a", "probability": 0.9384765625}, {"start": 397.5, "end": 397.88, "word": " star", "probability": 0.89892578125}, {"start": 397.88, "end": 398.04, "word": " b", "probability": 0.91259765625}, {"start": 398.04, "end": 398.3, "word": " بدي", "probability": 0.6484375}, {"start": 398.3, "end": 398.72, "word": " يسوي", "probability": 0.74462890625}, {"start": 398.72, "end": 399.12, "word": " a", "probability": 0.974609375}, {"start": 399.12, "end": 399.66, "word": " union", "probability": 0.97021484375}, {"start": 399.66, "end": 399.94, "word": " b", "probability": 0.9912109375}, {"start": 399.94, "end": 400.52, "word": " السؤال", "probability": 0.9860026041666666}, {"start": 400.52, "end": 400.84, "word": " هو", "probability": 0.96484375}, {"start": 400.84, "end": 401.94, "word": " a", "probability": 0.916015625}, {"start": 401.94, "end": 402.54, "word": " union", "probability": 0.96337890625}, {"start": 402.54, "end": 402.94, "word": " b", "probability": 0.98974609375}, {"start": 402.94, "end": 403.3, "word": " هل", "probability": 0.972900390625}, {"start": 403.3, "end": 403.68, "word": " هذه", "probability": 0.76513671875}, {"start": 403.68, "end": 403.86, "word": " ال", "probability": 0.70361328125}, {"start": 403.86, "end": 404.26, "word": " subset", "probability": 0.89453125}, {"start": 404.26, "end": 404.54, "word": " من", "probability": 0.75146484375}, {"start": 404.54, "end": 404.8, "word": " X", "probability": 0.6357421875}, {"start": 404.8, "end": 404.98, "word": " يا", "probability": 0.9599609375}, {"start": 404.98, "end": 405.62, "word": " شباب؟", "probability": 0.912841796875}], "temperature": 1.0}, {"id": 16, "seek": 42639, "start": 407.07, "end": 426.39, "text": "لو أخدت any two subsets من الـ6X وجبت لهم الـunion يكون موجود في الـX itself ولا بتطلع برا؟ لاتطلعش برا يبقى هذا موجود دائما و أبدا في X طب والـX هذه أليس subset من ال power set of X؟", "tokens": [1211, 2407, 5551, 9778, 3215, 2655, 604, 732, 2090, 1385, 9154, 2423, 39184, 21, 55, 4032, 7435, 3555, 2655, 5296, 16095, 2423, 39184, 42137, 7251, 30544, 3714, 29245, 23328, 8978, 2423, 39184, 55, 2564, 49429, 39894, 9566, 1211, 3615, 4724, 23557, 22807, 5296, 9307, 9566, 1211, 3615, 8592, 4724, 23557, 7251, 3555, 4587, 7578, 23758, 3714, 29245, 23328, 11778, 16373, 15042, 4032, 5551, 3555, 28259, 8978, 1783, 23032, 3555, 16070, 39184, 55, 29538, 5551, 20292, 3794, 25993, 9154, 2423, 1347, 992, 295, 1783, 22807], "avg_logprob": -0.31268382352941176, "compression_ratio": 1.5, "no_speech_prob": 0.0, "words": [{"start": 407.07, "end": 407.41, "word": "لو", "probability": 0.74951171875}, {"start": 407.41, "end": 408.05, "word": " أخدت", "probability": 0.7755126953125}, {"start": 408.05, "end": 408.39, "word": " any", "probability": 0.2462158203125}, {"start": 408.39, "end": 409.03, "word": " two", "probability": 0.90576171875}, 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415.51, "end": 415.89, "word": " بتطلع", "probability": 0.76708984375}, {"start": 415.89, "end": 416.87, "word": " برا؟", "probability": 0.743896484375}, {"start": 416.87, "end": 417.49, "word": " لاتطلعش", "probability": 0.7803955078125}, {"start": 417.49, "end": 417.73, "word": " برا", "probability": 0.97607421875}, {"start": 417.73, "end": 417.99, "word": " يبقى", "probability": 0.8848876953125}, {"start": 417.99, "end": 418.21, "word": " هذا", "probability": 0.8134765625}, {"start": 418.21, "end": 418.65, "word": " موجود", "probability": 0.9855143229166666}, {"start": 418.65, "end": 419.09, "word": " دائما", "probability": 0.9453125}, {"start": 419.09, "end": 419.25, "word": " و", "probability": 0.45849609375}, {"start": 419.25, "end": 419.67, "word": " أبدا", "probability": 0.8087565104166666}, {"start": 419.67, "end": 419.87, "word": " في", "probability": 0.96923828125}, {"start": 419.87, "end": 420.09, "word": " X", "probability": 0.92919921875}, {"start": 420.09, "end": 420.71, "word": " طب", "probability": 0.7314453125}, {"start": 420.71, "end": 421.43, "word": " والـX", "probability": 0.6629231770833334}, {"start": 421.43, "end": 422.03, "word": " هذه", "probability": 0.705078125}, {"start": 422.03, "end": 423.03, "word": " أليس", "probability": 0.9397786458333334}, {"start": 423.03, "end": 423.75, "word": " subset", "probability": 0.6298828125}, {"start": 423.75, "end": 424.11, "word": " من", "probability": 0.99560546875}, {"start": 424.11, "end": 424.39, "word": " ال", "probability": 0.92724609375}, {"start": 424.39, "end": 425.03, "word": " power", "probability": 0.62841796875}, {"start": 425.03, "end": 425.59, "word": " set", "probability": 0.91748046875}, {"start": 425.59, "end": 425.89, "word": " of", "probability": 0.96728515625}, {"start": 425.89, "end": 426.39, "word": " X؟", "probability": 0.923095703125}], "temperature": 1.0}, {"id": 17, "seek": 45428, "start": 427.22, "end": 454.28, "text": "يبقى star ال element هذا موجود في ال power set ال x هذه as a أعلى مش subset ال x هذه belongs موجودة في ال power set لكن ال a union b ال subset من ال x والx belong في ال power set of x معناه هذا كلام ال star is a binary operation طب السؤال هو", "tokens": [1829, 3555, 4587, 7578, 3543, 2423, 4478, 23758, 3714, 29245, 23328, 8978, 2423, 1347, 992, 2423, 2031, 29538, 382, 257, 5551, 3615, 23942, 37893, 25993, 2423, 2031, 29538, 12953, 3714, 29245, 23328, 3660, 8978, 2423, 1347, 992, 44381, 2423, 257, 11671, 272, 2423, 25993, 9154, 2423, 2031, 16070, 87, 5784, 8978, 2423, 1347, 992, 295, 2031, 20449, 8315, 3224, 23758, 28242, 10943, 2423, 3543, 307, 257, 17434, 6916, 23032, 3555, 21136, 33604, 6027, 31439], "avg_logprob": -0.306249992052714, "compression_ratio": 1.7580645161290323, "no_speech_prob": 0.0, "words": [{"start": 427.22, "end": 427.7, "word": "يبقى", "probability": 0.83819580078125}, {"start": 427.7, "end": 428.06, "word": " star", "probability": 0.262451171875}, {"start": 428.06, "end": 428.28, "word": " ال", "probability": 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0.82373046875}, {"start": 442.76, "end": 443.02, "word": " ال", "probability": 0.79736328125}, {"start": 443.02, "end": 443.3, "word": " a", "probability": 0.70947265625}, {"start": 443.3, "end": 443.6, "word": " union", "probability": 0.818359375}, {"start": 443.6, "end": 443.9, "word": " b", "probability": 0.95654296875}, {"start": 443.9, "end": 444.04, "word": " ال", "probability": 0.4951171875}, {"start": 444.04, "end": 444.42, "word": " subset", "probability": 0.96240234375}, {"start": 444.42, "end": 444.68, "word": " من", "probability": 0.986328125}, {"start": 444.68, "end": 444.86, "word": " ال", "probability": 0.92333984375}, {"start": 444.86, "end": 445.12, "word": " x", "probability": 0.95556640625}, {"start": 445.12, "end": 445.7, "word": " والx", "probability": 0.687255859375}, {"start": 445.7, "end": 446.26, "word": " belong", "probability": 0.361083984375}, {"start": 446.26, "end": 446.5, "word": " في", "probability": 0.890625}, {"start": 446.5, "end": 446.88, "word": " ال", "probability": 0.35205078125}, {"start": 446.88, "end": 448.44, "word": " power", "probability": 0.72802734375}, {"start": 448.44, "end": 449.1, "word": " set", "probability": 0.95751953125}, {"start": 449.1, "end": 449.46, "word": " of", "probability": 0.92041015625}, {"start": 449.46, "end": 449.76, "word": " x", "probability": 0.9619140625}, {"start": 449.76, "end": 450.4, "word": " معناه", "probability": 0.8732096354166666}, {"start": 450.4, "end": 450.62, "word": " هذا", "probability": 0.69482421875}, {"start": 450.62, "end": 451.0, "word": " كلام", "probability": 0.76708984375}, {"start": 451.0, "end": 451.12, "word": " ال", "probability": 0.439697265625}, {"start": 451.12, "end": 451.5, "word": " star", "probability": 0.7275390625}, {"start": 451.5, "end": 451.86, "word": " is", "probability": 0.9130859375}, {"start": 451.86, "end": 452.16, "word": " a", "probability": 0.974609375}, {"start": 452.16, "end": 452.7, "word": " binary", "probability": 0.85693359375}, {"start": 452.7, "end": 453.4, "word": " operation", "probability": 0.95166015625}, {"start": 453.4, "end": 453.66, "word": " طب", "probability": 0.692626953125}, {"start": 453.66, "end": 454.08, "word": " السؤال", "probability": 0.9718424479166666}, {"start": 454.08, "end": 454.28, "word": " هو", "probability": 0.98583984375}], "temperature": 1.0}, {"id": 18, "seek": 46440, "start": 454.78, "end": 464.4, "text": "هل ال intersection ما بين ال two sets a و b is a subset؟ يعني هل هو موجود في ال power set؟", "tokens": [3224, 1211, 2423, 15236, 19446, 49374, 2423, 732, 6352, 257, 4032, 272, 307, 257, 25993, 22807, 37495, 22653, 8032, 1211, 31439, 3714, 29245, 23328, 8978, 2423, 1347, 992, 22807], "avg_logprob": -0.1813802018761635, "compression_ratio": 1.174757281553398, "no_speech_prob": 0.0, "words": [{"start": 454.78, "end": 455.22, "word": "هل", "probability": 0.92626953125}, {"start": 455.22, "end": 455.32, "word": " ال", "probability": 0.853515625}, {"start": 455.32, "end": 456.2, "word": " intersection", "probability": 0.52490234375}, {"start": 456.2, "end": 456.64, "word": " ما", "probability": 0.4873046875}, {"start": 456.64, "end": 456.9, "word": " بين", "probability": 0.9892578125}, {"start": 456.9, "end": 457.06, "word": " ال", "probability": 0.837890625}, {"start": 457.06, "end": 457.32, "word": " two", "probability": 0.9150390625}, {"start": 457.32, "end": 457.94, "word": " sets", "probability": 0.955078125}, {"start": 457.94, "end": 458.48, "word": " a", "probability": 0.52392578125}, {"start": 458.48, "end": 458.66, "word": " و", "probability": 0.74267578125}, {"start": 458.66, "end": 459.14, "word": " b", "probability": 0.732421875}, {"start": 459.14, "end": 459.92, "word": " is", "probability": 0.83251953125}, {"start": 459.92, "end": 460.22, "word": " a", "probability": 0.96826171875}, {"start": 460.22, "end": 461.52, "word": " subset؟", "probability": 0.71142578125}, {"start": 461.52, "end": 461.92, "word": " يعني", "probability": 0.87158203125}, {"start": 461.92, "end": 462.2, "word": " هل", "probability": 0.90185546875}, {"start": 462.2, "end": 462.38, "word": " هو", "probability": 0.994140625}, {"start": 462.38, "end": 462.88, "word": " موجود", "probability": 0.9881184895833334}, {"start": 462.88, "end": 462.98, "word": " في", "probability": 0.9169921875}, {"start": 462.98, "end": 463.12, "word": " ال", "probability": 0.9111328125}, {"start": 463.12, "end": 463.6, "word": " power", "probability": 0.8623046875}, {"start": 463.6, "end": 464.4, "word": " set؟", "probability": 0.943359375}], "temperature": 1.0}, {"id": 19, "seek": 48784, "start": 466.26, "end": 487.84, "text": "ليش؟ على أسوأ الاحتمالات بدي يطلع في فحو ولا لأ في subset من ال X ولا لأ يبقى في موجودة في ال power set وبناء عليه سعر ال intersection كمان also is a binary operation يبقى باجي بقول ان similarly كمان شغلة تانية", "tokens": [20292, 8592, 22807, 15844, 5551, 3794, 2407, 10721, 42963, 33753, 2304, 6027, 9307, 4724, 16254, 7251, 9566, 1211, 3615, 8978, 6156, 5016, 2407, 49429, 5296, 10721, 8978, 25993, 9154, 2423, 1783, 49429, 5296, 10721, 7251, 3555, 4587, 7578, 8978, 3714, 29245, 23328, 3660, 8978, 2423, 1347, 992, 46599, 1863, 16606, 47356, 8608, 3615, 2288, 2423, 15236, 9122, 2304, 7649, 611, 307, 257, 17434, 6916, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 16472, 14138, 9122, 2304, 7649, 13412, 17082, 37977, 6055, 7649, 10632], "avg_logprob": -0.2340073585510254, "compression_ratio": 1.5023474178403755, "no_speech_prob": 0.0, "words": [{"start": 466.26, "end": 467.18, "word": "ليش؟", "probability": 0.5634562174479166}, {"start": 467.18, "end": 467.5, "word": " على", "probability": 0.70263671875}, {"start": 467.5, "end": 468.08, "word": " أسوأ", "probability": 0.938720703125}, {"start": 468.08, "end": 468.86, "word": " الاحتمالات", "probability": 0.93974609375}, {"start": 468.86, "end": 469.08, "word": " بدي", "probability": 0.367919921875}, {"start": 469.08, "end": 469.48, "word": " يطلع", "probability": 0.94091796875}, {"start": 469.48, "end": 469.94, "word": " في", "probability": 0.62109375}, {"start": 469.94, "end": 470.74, "word": " فحو", "probability": 0.6378580729166666}, {"start": 470.74, "end": 470.88, "word": " ولا", "probability": 0.8935546875}, {"start": 470.88, "end": 471.18, "word": " لأ", "probability": 0.5977783203125}, {"start": 471.18, "end": 471.94, "word": " في", "probability": 0.39306640625}, {"start": 471.94, "end": 472.56, "word": " subset", "probability": 0.45166015625}, {"start": 472.56, "end": 472.92, "word": " من", "probability": 0.9931640625}, {"start": 472.92, "end": 473.1, "word": " ال", "probability": 0.9072265625}, {"start": 473.1, "end": 473.4, "word": " X", "probability": 0.66455078125}, {"start": 473.4, "end": 473.68, "word": " ولا", "probability": 0.90234375}, {"start": 473.68, "end": 474.3, "word": " لأ", "probability": 0.980712890625}, {"start": 474.3, "end": 475.22, "word": " يبقى", "probability": 0.923095703125}, {"start": 475.22, "end": 475.48, "word": " في", "probability": 0.93017578125}, {"start": 475.48, "end": 476.18, "word": " موجودة", "probability": 0.97314453125}, {"start": 476.18, "end": 476.3, "word": " في", "probability": 0.94140625}, {"start": 476.3, "end": 476.46, "word": " ال", "probability": 0.92529296875}, {"start": 476.46, "end": 476.76, "word": " power", "probability": 0.51318359375}, {"start": 476.76, "end": 477.28, "word": " set", "probability": 0.94580078125}, {"start": 477.28, "end": 478.16, "word": " وبناء", "probability": 0.8302408854166666}, {"start": 478.16, "end": 478.76, "word": " عليه", "probability": 0.92822265625}, {"start": 478.76, "end": 479.46, "word": " سعر", "probability": 0.9152018229166666}, {"start": 479.46, "end": 479.62, "word": " ال", "probability": 0.99462890625}, {"start": 479.62, "end": 480.36, "word": " intersection", "probability": 0.89501953125}, {"start": 480.36, "end": 481.14, "word": " كمان", "probability": 0.9571940104166666}, {"start": 481.14, "end": 481.58, "word": " also", "probability": 0.407470703125}, {"start": 481.58, "end": 481.96, "word": " is", "probability": 0.93408203125}, {"start": 481.96, "end": 482.22, "word": " a", "probability": 0.9775390625}, {"start": 482.22, "end": 482.62, "word": " binary", "probability": 0.86328125}, {"start": 482.62, "end": 483.38, "word": " operation", "probability": 0.9482421875}, {"start": 483.38, "end": 484.22, "word": " يبقى", "probability": 0.968017578125}, {"start": 484.22, "end": 484.52, "word": " باجي", "probability": 0.7808430989583334}, {"start": 484.52, "end": 484.9, "word": " بقول", "probability": 0.96435546875}, {"start": 484.9, "end": 485.1, "word": " ان", "probability": 0.324462890625}, {"start": 485.1, "end": 486.12, "word": " similarly", "probability": 0.72900390625}, {"start": 486.12, "end": 486.72, "word": " كمان", "probability": 0.9519856770833334}, {"start": 486.72, "end": 487.32, "word": " شغلة", "probability": 0.87451171875}, {"start": 487.32, "end": 487.84, "word": " تانية", "probability": 0.9925130208333334}], "temperature": 1.0}, {"id": 20, "seek": 51392, "start": 488.21, "end": 513.93, "text": "similarly ال .. ال .. ال star او a star b ال a star b بدي يسوي a intersection b ها دي is a binary is a binary operation", "tokens": [30937, 2202, 356, 2423, 4386, 2423, 4386, 2423, 3543, 1975, 2407, 257, 3543, 272, 2423, 257, 3543, 272, 4724, 16254, 7251, 3794, 45865, 257, 15236, 272, 8032, 995, 11778, 1829, 307, 257, 17434, 307, 257, 17434, 6916], "avg_logprob": -0.28433389255875036, "compression_ratio": 1.4141414141414141, "no_speech_prob": 0.0, "words": [{"start": 488.21, "end": 490.45, "word": "similarly", "probability": 0.6571451822916666}, {"start": 490.45, "end": 493.55, "word": " ال", "probability": 0.705078125}, {"start": 493.55, "end": 493.63, "word": " ..", "probability": 0.521484375}, {"start": 493.63, "end": 494.29, "word": " ال", "probability": 0.90478515625}, {"start": 494.29, "end": 494.29, "word": " ..", "probability": 0.82080078125}, {"start": 494.29, "end": 494.61, "word": " ال", "probability": 0.9326171875}, {"start": 494.61, "end": 495.19, "word": " star", "probability": 0.59375}, {"start": 495.19, "end": 495.87, "word": " او", "probability": 0.744140625}, {"start": 495.87, "end": 496.21, "word": " a", "probability": 0.8212890625}, {"start": 496.21, "end": 496.69, "word": " star", "probability": 0.66455078125}, {"start": 496.69, "end": 497.11, "word": " b", "probability": 0.916015625}, {"start": 497.11, "end": 498.51, "word": " ال", "probability": 0.92236328125}, {"start": 498.51, "end": 498.99, "word": " a", "probability": 0.96337890625}, {"start": 498.99, "end": 499.87, "word": " star", "probability": 0.9365234375}, {"start": 499.87, "end": 500.71, "word": " b", "probability": 0.9833984375}, {"start": 500.71, "end": 501.41, "word": " بدي", "probability": 0.5970458984375}, {"start": 501.41, "end": 501.93, "word": " يسوي", "probability": 0.7205403645833334}, {"start": 501.93, "end": 502.37, "word": " a", "probability": 0.9599609375}, {"start": 502.37, "end": 503.57, "word": " intersection", "probability": 0.91455078125}, {"start": 503.57, "end": 504.29, "word": " b", "probability": 0.97265625}, {"start": 504.29, "end": 505.35, "word": " ها", "probability": 0.4864501953125}, {"start": 505.35, "end": 505.65, "word": " دي", "probability": 0.8212890625}, {"start": 505.65, "end": 506.43, "word": " is", "probability": 0.96044921875}, {"start": 506.43, "end": 507.07, "word": " a", "probability": 0.99609375}, {"start": 507.07, "end": 508.13, "word": " binary", "probability": 0.90283203125}, {"start": 508.13, "end": 511.07, "word": " is", "probability": 0.81005859375}, {"start": 511.07, "end": 511.47, "word": " a", "probability": 0.99755859375}, {"start": 511.47, "end": 512.13, "word": " binary", "probability": 0.88037109375}, {"start": 512.13, "end": 513.93, "word": " operation", "probability": 0.9609375}], "temperature": 1.0}, {"id": 21, "seek": 52852, "start": 520.5, "end": 528.52, "text": "بارضه بنفس الطريقة ليش ان ال intersection ما بين ال A والB موجود في ال set X", "tokens": [3555, 9640, 11242, 3224, 44945, 36178, 41950, 16572, 28671, 32239, 8592, 16472, 2423, 15236, 19446, 49374, 2423, 316, 16070, 33, 3714, 29245, 23328, 8978, 2423, 992, 1783], "avg_logprob": -0.419084832072258, "compression_ratio": 1.1568627450980393, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 520.5, "end": 521.3, "word": "بارضه", "probability": 0.5300750732421875}, {"start": 521.3, "end": 521.9, "word": " بنفس", "probability": 0.91357421875}, {"start": 521.9, "end": 522.42, "word": " الطريقة", "probability": 0.9484049479166666}, {"start": 522.42, "end": 522.72, "word": " ليش", "probability": 0.568603515625}, {"start": 522.72, "end": 522.86, "word": " ان", "probability": 0.8291015625}, {"start": 522.86, "end": 522.96, "word": " ال", "probability": 0.91357421875}, {"start": 522.96, "end": 523.46, "word": " intersection", "probability": 0.33251953125}, {"start": 523.46, "end": 523.8, "word": " ما", "probability": 0.78369140625}, {"start": 523.8, "end": 524.0, "word": " بين", "probability": 0.955078125}, {"start": 524.0, "end": 524.16, "word": " ال", "probability": 0.94091796875}, {"start": 524.16, "end": 524.36, "word": " A", "probability": 0.390380859375}, {"start": 524.36, "end": 524.82, "word": " والB", "probability": 0.611572265625}, {"start": 524.82, "end": 526.08, "word": " موجود", "probability": 0.9754231770833334}, {"start": 526.08, "end": 527.42, "word": " في", "probability": 0.8935546875}, {"start": 527.42, "end": 527.62, "word": " ال", "probability": 0.5595703125}, {"start": 527.62, "end": 528.02, "word": " set", "probability": 0.85791015625}, {"start": 528.02, "end": 528.52, "word": " X", "probability": 0.80029296875}], "temperature": 1.0}, {"id": 22, "seek": 56002, "start": 534.46, "end": 560.02, "text": "بسبب أن a intersection b هو subset من set x وهذا سيعطينا أن a intersection b هو subset من set x طيب ناخد كمان مثال بيختلف عن شكل هذه الأمثلة كليا", "tokens": [3555, 35457, 3555, 14739, 257, 15236, 272, 31439, 1422, 3854, 9154, 992, 2031, 37037, 15730, 8608, 1829, 3615, 9566, 1829, 8315, 14739, 257, 15236, 272, 31439, 1422, 3854, 9154, 992, 2031, 23032, 1829, 3555, 8717, 47283, 3215, 9122, 2304, 7649, 50113, 6027, 4724, 1829, 46456, 46538, 18871, 13412, 28820, 29538, 16247, 2304, 12984, 37977, 28242, 25528], "avg_logprob": -0.4956140183565909, "compression_ratio": 1.5474452554744527, "no_speech_prob": 0.0, "words": [{"start": 534.46, "end": 535.4, "word": "بسبب", "probability": 0.5236002604166666}, {"start": 535.4, "end": 535.86, "word": " أن", "probability": 0.38623046875}, {"start": 535.86, "end": 536.3, "word": " a", "probability": 0.33642578125}, {"start": 536.3, "end": 537.34, "word": " intersection", "probability": 0.2315673828125}, {"start": 537.34, "end": 538.0, "word": " b", "probability": 0.8857421875}, {"start": 538.0, "end": 538.78, "word": " هو", "probability": 0.6455078125}, {"start": 538.78, "end": 539.62, "word": " subset", "probability": 0.313751220703125}, {"start": 539.62, "end": 539.88, "word": " من", "probability": 0.9443359375}, {"start": 539.88, "end": 540.5, "word": " set", "probability": 0.2919921875}, {"start": 540.5, "end": 541.0, "word": " x", "probability": 0.72314453125}, {"start": 541.0, "end": 541.96, "word": " وهذا", "probability": 0.8076171875}, {"start": 541.96, "end": 542.98, "word": " سيعطينا", "probability": 0.6637980143229166}, {"start": 542.98, "end": 543.66, "word": " أن", "probability": 0.450927734375}, {"start": 543.66, "end": 544.22, "word": " a", "probability": 0.78564453125}, {"start": 544.22, "end": 545.2, "word": " intersection", "probability": 0.884765625}, {"start": 545.2, "end": 546.14, "word": " b", "probability": 0.9521484375}, {"start": 546.14, "end": 547.04, "word": " هو", "probability": 0.064208984375}, {"start": 547.04, "end": 548.76, "word": " subset", "probability": 0.587890625}, {"start": 548.76, "end": 548.76, "word": " من", "probability": 0.9501953125}, {"start": 548.76, "end": 550.28, "word": " set", "probability": 0.278564453125}, {"start": 550.28, "end": 551.44, "word": " x", "probability": 0.87158203125}, {"start": 551.44, "end": 554.02, "word": " طيب", "probability": 0.6818033854166666}, {"start": 554.02, "end": 554.6, "word": " ناخد", "probability": 0.8553059895833334}, {"start": 554.6, "end": 555.0, "word": " كمان", "probability": 0.7364908854166666}, {"start": 555.0, "end": 555.68, "word": " مثال", "probability": 0.769775390625}, {"start": 555.68, "end": 557.66, "word": " بيختلف", "probability": 0.853515625}, {"start": 557.66, "end": 557.92, "word": " عن", "probability": 0.986328125}, {"start": 557.92, "end": 558.3, "word": " شكل", "probability": 0.9765625}, {"start": 558.3, "end": 558.66, "word": " هذه", "probability": 0.9619140625}, {"start": 558.66, "end": 559.28, "word": " الأمثلة", "probability": 0.974853515625}, {"start": 559.28, "end": 560.02, "word": " كليا", "probability": 0.5662841796875}], "temperature": 1.0}, {"id": 23, "seek": 58575, "start": 560.69, "end": 585.75, "text": "let خمسة let الجي capital g بدي ساوي كل ال real numbers x اللي موجودة في ال set of real numbers بحيث ان ال x أكبر من أو تساوي واحد define عرفلي a star by", "tokens": [2631, 16490, 2304, 3794, 3660, 718, 25724, 1829, 4238, 290, 4724, 16254, 8608, 995, 45865, 28242, 2423, 957, 3547, 2031, 13672, 1829, 3714, 29245, 23328, 3660, 8978, 2423, 992, 295, 957, 3547, 4724, 5016, 1829, 12984, 16472, 2423, 2031, 5551, 4117, 26890, 9154, 34051, 6055, 3794, 995, 45865, 36764, 24401, 6964, 6225, 28480, 20292, 257, 3543, 538], "avg_logprob": -0.25148168822814676, "compression_ratio": 1.3935483870967742, "no_speech_prob": 0.0, "words": [{"start": 560.69, "end": 561.39, "word": "let", "probability": 0.58544921875}, {"start": 561.39, "end": 562.71, "word": " خمسة", "probability": 0.83544921875}, {"start": 562.71, "end": 563.85, "word": " let", "probability": 0.69140625}, {"start": 563.85, "end": 566.09, "word": " الجي", "probability": 0.599609375}, {"start": 566.09, "end": 566.69, "word": " capital", "probability": 0.4765625}, {"start": 566.69, "end": 567.43, "word": " g", "probability": 0.263916015625}, {"start": 567.43, "end": 568.19, "word": " بدي", "probability": 0.5697021484375}, {"start": 568.19, "end": 568.75, "word": " ساوي", "probability": 0.629150390625}, {"start": 568.75, "end": 569.35, "word": " كل", "probability": 0.970703125}, {"start": 569.35, "end": 569.67, "word": " ال", "probability": 0.763671875}, {"start": 569.67, "end": 569.97, "word": " real", "probability": 0.86669921875}, {"start": 569.97, "end": 570.93, "word": " numbers", "probability": 0.5283203125}, {"start": 570.93, "end": 571.37, "word": " x", "probability": 0.51513671875}, {"start": 571.37, "end": 571.71, "word": " اللي", "probability": 0.9169921875}, {"start": 571.71, "end": 572.43, "word": " موجودة", "probability": 0.9864501953125}, {"start": 572.43, "end": 572.57, "word": " في", "probability": 0.88232421875}, {"start": 572.57, "end": 572.71, "word": " ال", "probability": 0.7099609375}, {"start": 572.71, "end": 572.95, "word": " set", "probability": 0.92529296875}, {"start": 572.95, "end": 573.13, "word": " of", "probability": 0.95458984375}, {"start": 573.13, "end": 573.39, "word": " real", "probability": 0.9638671875}, {"start": 573.39, "end": 574.01, "word": " numbers", "probability": 0.88818359375}, {"start": 574.01, "end": 575.11, "word": " بحيث", "probability": 0.9649658203125}, {"start": 575.11, "end": 575.31, "word": " ان", "probability": 0.66015625}, {"start": 575.31, "end": 575.49, "word": " ال", "probability": 0.8623046875}, {"start": 575.49, "end": 575.85, "word": " x", "probability": 0.82080078125}, {"start": 575.85, "end": 576.57, "word": " أكبر", "probability": 0.89208984375}, {"start": 576.57, "end": 576.97, "word": " من", "probability": 0.9775390625}, {"start": 576.97, "end": 577.35, "word": " أو", "probability": 0.6181640625}, {"start": 577.35, "end": 577.99, "word": " تساوي", "probability": 0.9276123046875}, {"start": 577.99, "end": 578.51, "word": " واحد", "probability": 0.9775390625}, {"start": 578.51, "end": 580.13, "word": " define", "probability": 0.939453125}, {"start": 580.13, "end": 582.15, "word": " عرفلي", "probability": 0.9207356770833334}, {"start": 582.15, "end": 582.69, "word": " a", "probability": 0.43017578125}, {"start": 582.69, "end": 583.43, "word": " star", "probability": 0.68798828125}, {"start": 583.43, "end": 585.75, "word": " by", "probability": 0.626953125}], "temperature": 1.0}, {"id": 24, "seek": 61688, "start": 588.02, "end": 616.88, "text": "x star y يساوي x y ناقص x ناقص y زائدي اتنين then star اللي عندنا هذا is a binary operation is a binary operation because", "tokens": [87, 3543, 288, 7251, 3794, 995, 45865, 2031, 288, 8717, 995, 4587, 9381, 2031, 8717, 995, 4587, 9381, 288, 30767, 16373, 16254, 1975, 2655, 1863, 9957, 550, 3543, 13672, 1829, 43242, 8315, 23758, 307, 257, 17434, 6916, 307, 257, 17434, 6916, 570], "avg_logprob": 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"probability": 0.9327392578125}, {"start": 598.72, "end": 601.22, "word": " then", "probability": 0.62353515625}, {"start": 601.22, "end": 603.28, "word": " star", "probability": 0.432373046875}, {"start": 603.28, "end": 603.52, "word": " اللي", "probability": 0.956298828125}, {"start": 603.52, "end": 603.98, "word": " عندنا", "probability": 0.927001953125}, {"start": 603.98, "end": 604.4, "word": " هذا", "probability": 0.67431640625}, {"start": 604.4, "end": 605.82, "word": " is", "probability": 0.88818359375}, {"start": 605.82, "end": 607.02, "word": " a", "probability": 0.95263671875}, {"start": 607.02, "end": 607.92, "word": " binary", "probability": 0.87353515625}, {"start": 607.92, "end": 610.52, "word": " operation", "probability": 0.95166015625}, {"start": 610.52, "end": 613.68, "word": " is", "probability": 0.7900390625}, {"start": 613.68, "end": 614.06, "word": " a", "probability": 0.99609375}, {"start": 614.06, "end": 614.54, "word": " binary", "probability": 0.865234375}, {"start": 614.54, "end": 615.58, "word": " operation", "probability": 0.955078125}, {"start": 615.58, "end": 616.88, "word": " because", "probability": 0.94921875}], "temperature": 1.0}, {"id": 25, "seek": 62971, "start": 626.45, "end": 629.71, "text": "السبب؟ خلّي بالك هنا", "tokens": [6027, 35457, 3555, 22807, 16490, 1211, 11703, 1829, 20666, 4117, 34105], "avg_logprob": -0.3489583283662796, "compression_ratio": 0.8604651162790697, "no_speech_prob": 0.0, "words": [{"start": 626.45, "end": 627.85, "word": "السبب؟", "probability": 0.8125}, {"start": 627.85, "end": 629.25, "word": " خلّي", "probability": 0.6900634765625}, {"start": 629.25, "end": 629.51, "word": " بالك", "probability": 0.67333984375}, {"start": 629.51, "end": 629.71, "word": " هنا", "probability": 0.9892578125}], "temperature": 1.0}, {"id": 26, "seek": 65601, "start": 631.19, "end": 656.01, "text": "الان انا اخد ست جديدة على غير الأمثلة السابقة سميتها G مين هي G؟ اخدت عناصر من set of real numbers اللي مين هم العناصر كلهم اللي بيكونوا دائما وأبدا أكبر من الواحد الصحية كسور مش كسور اللي وهم اعداد موجبة دائما وأبدا وكلها أكبر من الواحد الصحيح", "tokens": [6027, 7649, 1975, 8315, 1975, 9778, 3215, 8608, 2655, 10874, 16254, 41891, 15844, 32771, 13546, 16247, 2304, 12984, 37977, 21136, 16758, 28671, 8608, 2304, 36081, 11296, 460, 3714, 9957, 39896, 460, 22807, 1975, 9778, 3215, 2655, 18871, 33546, 2288, 9154, 992, 295, 957, 3547, 13672, 1829, 3714, 9957, 8032, 2304, 18863, 1863, 33546, 2288, 28242, 16095, 13672, 1829, 4724, 1829, 30544, 14407, 11778, 16373, 15042, 36725, 3555, 28259, 5551, 4117, 26890, 9154, 2423, 14407, 24401, 31767, 5016, 10632, 9122, 3794, 13063, 37893, 9122, 3794, 13063, 13672, 1829, 4032, 16095, 1975, 22488, 18513, 3714, 29245, 49401, 11778, 16373, 15042, 36725, 3555, 28259, 4032, 28820, 11296, 5551, 4117, 26890, 9154, 2423, 14407, 24401, 31767, 5016, 1829, 5016], "avg_logprob": -0.1880387955441557, "compression_ratio": 1.9227272727272726, "no_speech_prob": 0.0, "words": [{"start": 631.19, "end": 631.71, "word": "الان", "probability": 0.6612548828125}, {"start": 631.71, "end": 631.95, "word": " انا", "probability": 0.834228515625}, {"start": 631.95, "end": 632.31, "word": " اخد", "probability": 0.75048828125}, {"start": 632.31, "end": 632.65, "word": " ست", "probability": 0.70703125}, {"start": 632.65, "end": 633.27, "word": " جديدة", "probability": 0.8269856770833334}, {"start": 633.27, "end": 633.61, "word": " على", "probability": 0.62841796875}, {"start": 633.61, "end": 634.23, "word": " غير", "probability": 0.989990234375}, {"start": 634.23, "end": 635.39, "word": " الأمثلة", "probability": 0.892333984375}, {"start": 635.39, "end": 636.17, "word": " السابقة", "probability": 0.9915364583333334}, {"start": 636.17, "end": 637.01, "word": " سميتها", "probability": 0.8590087890625}, {"start": 637.01, "end": 637.29, "word": " G", "probability": 0.47900390625}, {"start": 637.29, "end": 638.43, "word": " مين", "probability": 0.736328125}, {"start": 638.43, "end": 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"probability": 0.92138671875}, {"start": 644.01, "end": 644.67, "word": " كلهم", "probability": 0.798095703125}, {"start": 644.67, "end": 644.83, "word": " اللي", "probability": 0.962646484375}, {"start": 644.83, "end": 645.37, "word": " بيكونوا", "probability": 0.84295654296875}, {"start": 645.37, "end": 645.77, "word": " دائما", "probability": 0.9176432291666666}, {"start": 645.77, "end": 646.35, "word": " وأبدا", "probability": 0.6809895833333334}, {"start": 646.35, "end": 646.97, "word": " أكبر", "probability": 0.9059244791666666}, {"start": 646.97, "end": 647.35, "word": " من", "probability": 0.99267578125}, {"start": 647.35, "end": 648.57, "word": " الواحد", "probability": 0.98974609375}, {"start": 648.57, "end": 649.27, "word": " الصحية", "probability": 0.8582356770833334}, {"start": 649.27, "end": 650.23, "word": " كسور", "probability": 0.6582845052083334}, {"start": 650.23, "end": 650.47, "word": " مش", "probability": 0.9638671875}, {"start": 650.47, "end": 650.95, "word": " كسور", "probability": 0.9772135416666666}, {"start": 650.95, "end": 651.11, "word": " اللي", "probability": 0.720703125}, {"start": 651.11, "end": 651.39, "word": " وهم", "probability": 0.583740234375}, {"start": 651.39, "end": 651.95, "word": " اعداد", "probability": 0.7764485677083334}, {"start": 651.95, "end": 652.41, "word": " موجبة", "probability": 0.9689127604166666}, {"start": 652.41, "end": 652.83, "word": " دائما", "probability": 0.9733072916666666}, {"start": 652.83, "end": 653.35, "word": " وأبدا", "probability": 0.78564453125}, {"start": 653.35, "end": 654.41, "word": " وكلها", "probability": 0.9501953125}, {"start": 654.41, "end": 654.87, "word": " أكبر", "probability": 0.919921875}, {"start": 654.87, "end": 655.07, "word": " من", "probability": 0.99609375}, {"start": 655.07, "end": 655.49, "word": " الواحد", "probability": 0.9954427083333334}, {"start": 655.49, "end": 656.01, "word": " الصحيح", "probability": 0.9163818359375}], "temperature": 1.0}, {"id": 27, "seek": 67827, "start": 656.45, "end": 678.27, "text": "عرفت star على ال G cross ال G إلى G على الشكل التالي X star Y بده يساوي XY ناقص X ناقص Y زائد اتنين يبقى عملية ضرب و طرح و جمع في آن واحد من هذه ال star عرفتها بهذه الطريقة أنا أدعي", "tokens": [3615, 28480, 2655, 3543, 15844, 2423, 460, 3278, 2423, 460, 30731, 460, 15844, 25124, 28820, 16712, 6027, 1829, 1783, 3543, 398, 47525, 3224, 7251, 3794, 995, 45865, 48826, 8717, 995, 4587, 9381, 1783, 8717, 995, 4587, 9381, 398, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 6225, 42213, 10632, 48812, 25513, 4032, 23032, 2288, 5016, 4032, 10874, 2304, 3615, 8978, 19753, 1863, 36764, 24401, 9154, 29538, 2423, 3543, 6225, 28480, 2655, 11296, 39627, 24192, 41950, 16572, 28671, 41850, 5551, 3215, 3615, 1829], "avg_logprob": -0.25726743389007656, "compression_ratio": 1.6277777777777778, "no_speech_prob": 0.0, "words": [{"start": 656.45, "end": 657.29, "word": "عرفت", "probability": 0.8642578125}, {"start": 657.29, "end": 657.93, "word": " star", "probability": 0.316650390625}, {"start": 657.93, "end": 658.81, "word": " على", "probability": 0.7529296875}, {"start": 658.81, "end": 659.27, "word": " ال", "probability": 0.43017578125}, {"start": 659.27, "end": 659.45, "word": " G", "probability": 0.230224609375}, {"start": 659.45, "end": 659.95, "word": " cross", "probability": 0.310791015625}, {"start": 659.95, "end": 660.29, "word": " ال", "probability": 0.7421875}, {"start": 660.29, "end": 660.55, "word": " G", "probability": 0.896484375}, {"start": 660.55, "end": 660.95, "word": " إلى", "probability": 0.54931640625}, {"start": 660.95, "end": 661.29, "word": " G", "probability": 0.88623046875}, {"start": 661.29, "end": 661.53, "word": " على", "probability": 0.90673828125}, {"start": 661.53, "end": 662.05, "word": " الشكل", "probability": 0.95263671875}, {"start": 662.05, "end": 662.63, "word": " التالي", "probability": 0.8395182291666666}, {"start": 662.63, "end": 663.35, "word": " X", "probability": 0.5546875}, {"start": 663.35, "end": 663.85, "word": " star", "probability": 0.44970703125}, {"start": 663.85, "end": 664.17, "word": " Y", "probability": 0.9404296875}, {"start": 664.17, "end": 664.59, "word": " بده", "probability": 0.31634521484375}, {"start": 664.59, "end": 664.91, "word": " يساوي", "probability": 0.8558349609375}, {"start": 664.91, "end": 665.59, "word": " XY", "probability": 0.89697265625}, {"start": 665.59, "end": 666.25, "word": " ناقص", "probability": 0.9149169921875}, {"start": 666.25, "end": 666.63, "word": " X", "probability": 0.931640625}, {"start": 666.63, "end": 667.21, "word": " ناقص", "probability": 0.9913330078125}, {"start": 667.21, "end": 667.45, "word": " Y", "probability": 0.9892578125}, {"start": 667.45, "end": 667.89, "word": " زائد", "probability": 0.8673502604166666}, {"start": 667.89, "end": 668.33, "word": " اتنين", "probability": 0.879638671875}, {"start": 668.33, "end": 669.15, "word": " يبقى", "probability": 0.9381103515625}, {"start": 669.15, "end": 669.61, "word": " عملية", "probability": 0.9866536458333334}, {"start": 669.61, "end": 670.07, "word": " ضرب", "probability": 0.990478515625}, {"start": 670.07, "end": 670.67, "word": " و", "probability": 0.89453125}, {"start": 670.67, "end": 671.25, "word": " طرح", "probability": 0.8668619791666666}, {"start": 671.25, "end": 671.63, "word": " و", "probability": 0.31201171875}, {"start": 671.63, "end": 672.21, "word": " جمع", "probability": 0.8522135416666666}, {"start": 672.21, "end": 672.51, "word": " في", "probability": 0.81591796875}, {"start": 672.51, "end": 672.83, "word": " آن", "probability": 0.57965087890625}, {"start": 672.83, "end": 673.29, "word": " واحد", "probability": 0.97998046875}, {"start": 673.29, "end": 673.51, "word": " من", "probability": 0.6376953125}, {"start": 673.51, "end": 674.05, "word": " هذه", "probability": 0.4140625}, {"start": 674.05, "end": 674.59, "word": " ال", "probability": 0.92724609375}, {"start": 674.59, "end": 675.11, "word": " star", "probability": 0.501953125}, {"start": 675.11, "end": 676.13, "word": " عرفتها", "probability": 0.804443359375}, {"start": 676.13, "end": 676.43, "word": " بهذه", "probability": 0.958984375}, {"start": 676.43, "end": 676.89, "word": " الطريقة", "probability": 0.9855143229166666}, {"start": 676.89, "end": 677.43, "word": " أنا", "probability": 0.541015625}, {"start": 677.43, "end": 678.27, "word": " أدعي", "probability": 0.8009033203125}], "temperature": 1.0}, {"id": 28, "seek": 69287, "start": 688.25, "end": 692.87, "text": "السبب اذا طلع هذا ال element", "tokens": [6027, 3794, 3555, 3555, 1975, 15730, 23032, 1211, 3615, 23758, 2423, 4478], "avg_logprob": -0.706129789352417, "compression_ratio": 0.9166666666666666, "no_speech_prob": 0.0, "words": [{"start": 688.25, "end": 689.53, "word": "السبب", "probability": 0.466583251953125}, {"start": 689.53, "end": 690.81, "word": " اذا", "probability": 0.56597900390625}, {"start": 690.81, "end": 691.27, "word": " طلع", "probability": 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0.59375}, {"start": 785.22, "end": 785.56, "word": " ال", "probability": 0.87158203125}, {"start": 785.56, "end": 786.04, "word": " inequality", "probability": 0.94921875}, {"start": 786.04, "end": 786.94, "word": " هذه", "probability": 0.91845703125}], "temperature": 1.0}, {"id": 33, "seek": 80978, "start": 787.28, "end": 809.78, "text": "يبقى بدي اشوف هذا ايش بيعطينا يبقى مشان اوضح لك الصورة بدي اقول لك multi apply the inequality المتباينة x greater than one by y minus one we get", "tokens": [1829, 3555, 4587, 7578, 4724, 16254, 1975, 8592, 38688, 23758, 1975, 1829, 8592, 4724, 1829, 3615, 9566, 1829, 8315, 7251, 3555, 4587, 7578, 37893, 7649, 1975, 2407, 11242, 5016, 5296, 4117, 31767, 13063, 3660, 4724, 16254, 1975, 39648, 5296, 4117, 4825, 3079, 264, 16970, 9673, 2655, 3555, 995, 9957, 3660, 2031, 5044, 813, 472, 538, 288, 3175, 472, 321, 483], "avg_logprob": -0.2715163836713697, "compression_ratio": 1.3121019108280254, "no_speech_prob": 0.0, "words": [{"start": 787.28, "end": 787.76, "word": "يبقى", "probability": 0.7889404296875}, {"start": 787.76, "end": 788.04, "word": " بدي", "probability": 0.2783203125}, {"start": 788.04, "end": 788.38, "word": " اشوف", "probability": 0.762939453125}, {"start": 788.38, "end": 788.68, "word": " هذا", "probability": 0.390625}, {"start": 788.68, "end": 789.02, "word": " ايش", "probability": 0.77587890625}, {"start": 789.02, "end": 789.7, "word": " بيعطينا", "probability": 0.8912760416666666}, {"start": 789.7, "end": 790.16, "word": " يبقى", "probability": 0.83544921875}, {"start": 790.16, "end": 790.68, "word": " مشان", "probability": 0.691650390625}, {"start": 790.68, "end": 791.1, "word": " اوضح", "probability": 0.92529296875}, {"start": 791.1, "end": 791.36, "word": " لك", "probability": 0.664306640625}, {"start": 791.36, "end": 792.08, "word": " الصورة", "probability": 0.9801432291666666}, {"start": 792.08, "end": 792.6, "word": " بدي", "probability": 0.79931640625}, {"start": 792.6, "end": 792.92, "word": " اقول", "probability": 0.9130859375}, {"start": 792.92, "end": 793.24, "word": " لك", "probability": 0.85107421875}, {"start": 793.24, "end": 794.0, "word": " multi", "probability": 0.4833984375}, {"start": 794.0, "end": 795.82, "word": " apply", "probability": 0.383056640625}, {"start": 795.82, "end": 798.1, "word": " the", "probability": 0.685546875}, {"start": 798.1, "end": 799.8, "word": " inequality", "probability": 0.865234375}, {"start": 799.8, "end": 803.56, "word": " المتباينة", "probability": 0.9151204427083334}, {"start": 803.56, "end": 804.34, "word": " x", "probability": 0.6552734375}, {"start": 804.34, "end": 805.1, "word": " greater", "probability": 0.66357421875}, {"start": 805.1, "end": 805.62, "word": " than", "probability": 0.9267578125}, {"start": 805.62, "end": 806.0, "word": " one", "probability": 0.7080078125}, {"start": 806.0, "end": 806.82, "word": " by", "probability": 0.9111328125}, {"start": 806.82, "end": 807.8, "word": " y", "probability": 0.9453125}, {"start": 807.8, "end": 808.32, "word": " minus", "probability": 0.95947265625}, {"start": 808.32, "end": 808.86, "word": " one", "probability": 0.951171875}, {"start": 808.86, "end": 809.16, "word": " we", "probability": 0.87060546875}, {"start": 809.16, "end": 809.78, "word": " get", "probability": 0.94140625}], "temperature": 1.0}, {"id": 34, "seek": 83987, "start": 810.45, "end": 839.87, "text": "بنحصل على يبقى هذا ال X في Y minus ال one أكبر من ال Y minus ال one مظبوط؟ طيب، إيش رأيك؟ بدي أفك الطرف الشمال يبقى XY ناقص X إيش رأيك؟ هجيب ال Y على الشجة التانية ناقص Y أكبر من اللي هو سالب واحد", "tokens": [3555, 1863, 5016, 36520, 15844, 7251, 3555, 4587, 7578, 23758, 2423, 1783, 8978, 398, 3175, 2423, 472, 5551, 4117, 26890, 9154, 2423, 398, 3175, 2423, 472, 3714, 19913, 3555, 2407, 9566, 22807, 23032, 1829, 3555, 12399, 11933, 1829, 8592, 12602, 10721, 1829, 4117, 22807, 4724, 16254, 5551, 5172, 4117, 41950, 28480, 25124, 2304, 6027, 7251, 3555, 4587, 7578, 48826, 8717, 995, 4587, 9381, 1783, 11933, 1829, 8592, 12602, 10721, 1829, 4117, 22807, 8032, 7435, 1829, 3555, 2423, 398, 15844, 25124, 7435, 3660, 16712, 7649, 10632, 8717, 995, 4587, 9381, 398, 5551, 4117, 26890, 9154, 13672, 1829, 31439, 8608, 6027, 3555, 36764, 24401], "avg_logprob": -0.18279732980774444, "compression_ratio": 1.7365591397849462, "no_speech_prob": 0.0, "words": [{"start": 810.45, "end": 811.27, "word": "بنحصل", "probability": 0.82177734375}, {"start": 811.27, "end": 811.69, "word": " على", "probability": 0.86376953125}, {"start": 811.69, "end": 812.97, "word": " يبقى", "probability": 0.9149169921875}, {"start": 812.97, "end": 813.33, "word": " هذا", "probability": 0.88623046875}, {"start": 813.33, "end": 813.63, "word": " ال", "probability": 0.9189453125}, {"start": 813.63, "end": 813.97, "word": " X", "probability": 0.4453125}, {"start": 813.97, "end": 814.65, "word": " في", "probability": 0.97412109375}, {"start": 814.65, "end": 815.09, "word": " Y", "probability": 0.98095703125}, {"start": 815.09, "end": 816.19, "word": " minus", "probability": 0.54833984375}, {"start": 816.19, "end": 816.59, "word": " ال", "probability": 0.9111328125}, {"start": 816.59, "end": 816.87, "word": " one", "probability": 0.41455078125}, {"start": 816.87, "end": 818.09, "word": " أكبر", "probability": 0.9012044270833334}, {"start": 818.09, "end": 818.41, "word": " من", "probability": 0.99365234375}, {"start": 818.41, "end": 818.69, "word": " ال", "probability": 0.54833984375}, {"start": 818.69, "end": 818.93, "word": " Y", "probability": 0.96533203125}, {"start": 818.93, "end": 819.39, "word": " minus", "probability": 0.939453125}, {"start": 819.39, "end": 819.69, "word": " ال", "probability": 0.9462890625}, {"start": 819.69, "end": 819.91, "word": " one", "probability": 0.9462890625}, {"start": 819.91, "end": 824.31, "word": " مظبوط؟", "probability": 0.740966796875}, {"start": 824.31, "end": 825.13, "word": " طيب،", "probability": 0.848388671875}, {"start": 825.13, "end": 825.29, "word": " إيش", "probability": 0.7008870442708334}, {"start": 825.29, "end": 825.61, "word": " رأيك؟", "probability": 0.824462890625}, {"start": 825.61, "end": 825.83, "word": " بدي", "probability": 0.521240234375}, {"start": 825.83, "end": 826.15, "word": " أفك", "probability": 0.89599609375}, {"start": 826.15, "end": 826.61, "word": " الطرف", "probability": 0.7091064453125}, {"start": 826.61, "end": 827.33, "word": " الشمال", "probability": 0.98291015625}, {"start": 827.33, "end": 828.63, "word": " يبقى", "probability": 0.96435546875}, {"start": 828.63, "end": 829.45, "word": " XY", "probability": 0.662109375}, {"start": 829.45, "end": 830.55, "word": " ناقص", "probability": 0.9359130859375}, {"start": 830.55, "end": 831.01, "word": " X", "probability": 0.99267578125}, {"start": 831.01, "end": 831.85, "word": " إيش", "probability": 0.87109375}, {"start": 831.85, "end": 832.19, "word": " رأيك؟", "probability": 0.96259765625}, {"start": 832.19, "end": 832.53, "word": " هجيب", "probability": 0.898193359375}, {"start": 832.53, "end": 832.63, "word": " ال", "probability": 0.97607421875}, {"start": 832.63, "end": 832.81, "word": " Y", "probability": 0.978515625}, {"start": 832.81, "end": 833.05, "word": " على", "probability": 0.83544921875}, {"start": 833.05, "end": 833.57, "word": " الشجة", "probability": 0.6563313802083334}, {"start": 833.57, "end": 834.15, "word": " التانية", "probability": 0.9869791666666666}, {"start": 834.15, "end": 835.51, "word": " ناقص", "probability": 0.9912109375}, {"start": 835.51, "end": 836.03, "word": " Y", "probability": 0.994140625}, {"start": 836.03, "end": 837.41, "word": " أكبر", "probability": 0.9705403645833334}, {"start": 837.41, "end": 838.09, "word": " من", "probability": 0.9970703125}, {"start": 838.09, "end": 838.73, "word": " اللي", "probability": 0.757080078125}, {"start": 838.73, "end": 838.97, "word": " هو", "probability": 0.97998046875}, {"start": 838.97, "end": 839.51, "word": " سالب", "probability": 0.76708984375}, {"start": 839.51, "end": 839.87, "word": " واحد", "probability": 0.950439453125}], "temperature": 1.0}, {"id": 35, "seek": 84926, "start": 843.3, "end": 849.26, "text": "طيب ايش رايك لو اضفت للطرفين اتنين؟", "tokens": [9566, 1829, 3555, 1975, 1829, 8592, 12602, 47302, 4117, 45164, 1975, 11242, 5172, 2655, 24976, 9566, 28480, 9957, 1975, 2655, 1863, 9957, 22807], "avg_logprob": -0.16259766121705374, "compression_ratio": 1.0491803278688525, "no_speech_prob": 0.0, "words": [{"start": 843.3000000000001, "end": 844.7, "word": "طيب", "probability": 0.92431640625}, {"start": 844.7, "end": 845.54, "word": " ايش", "probability": 0.6156412760416666}, {"start": 845.54, "end": 846.12, "word": " رايك", "probability": 0.8629557291666666}, {"start": 846.12, "end": 846.72, "word": " لو", "probability": 0.9482421875}, {"start": 846.72, "end": 847.44, "word": " اضفت", "probability": 0.9290771484375}, {"start": 847.44, "end": 848.26, "word": " للطرفين", "probability": 0.93798828125}, {"start": 848.26, "end": 849.26, "word": " اتنين؟", "probability": 0.94228515625}], "temperature": 1.0}, {"id": 36, "seek": 87773, "start": 850.53, "end": 877.73, "text": "مرة واحدة بضيف رقم هنا زي ما اضيف رقم هنا عادي جدا واتنين positive positive ولا negative في حالة الجامعة ماتفرجش عندي المشكلة في حالة الضرب او القسمة يبقى هنا لو اضفت اتنين بيصير x في y ناقص x ناقص y زائدي اتنين اكبر من قداش اضفت اتنين للطرفين طب الطرف هذا مش هو هذا", "tokens": [2304, 25720, 36764, 24401, 3660, 4724, 11242, 33911, 12602, 4587, 2304, 34105, 30767, 1829, 19446, 1975, 11242, 33911, 12602, 4587, 2304, 34105, 6225, 995, 16254, 10874, 28259, 4032, 9307, 1863, 9957, 3353, 3353, 49429, 3671, 8978, 11331, 6027, 3660, 25724, 10943, 27884, 3714, 9307, 5172, 47341, 8592, 18871, 16254, 9673, 8592, 28820, 3660, 8978, 11331, 6027, 3660, 6024, 114, 25513, 1975, 2407, 25062, 38251, 3660, 7251, 3555, 4587, 7578, 34105, 45164, 1975, 11242, 5172, 2655, 1975, 2655, 1863, 9957, 4724, 1829, 9381, 13546, 2031, 8978, 288, 8717, 995, 4587, 9381, 2031, 8717, 995, 4587, 9381, 288, 30767, 16373, 16254, 1975, 2655, 1863, 9957, 1975, 4117, 26890, 9154, 12174, 3215, 33599, 1975, 11242, 5172, 2655, 1975, 2655, 1863, 9957, 24976, 9566, 28480, 9957, 23032, 3555, 41950, 28480, 23758, 37893, 31439, 23758], "avg_logprob": -0.1406250040949756, "compression_ratio": 1.9230769230769231, "no_speech_prob": 0.0, "words": [{"start": 850.53, "end": 850.87, "word": "مرة", "probability": 0.6304931640625}, {"start": 850.87, "end": 851.31, "word": " واحدة", "probability": 0.9597981770833334}, {"start": 851.31, "end": 851.75, "word": " بضيف", "probability": 0.7403971354166666}, {"start": 851.75, "end": 852.13, "word": " رقم", "probability": 0.9871419270833334}, {"start": 852.13, "end": 852.49, "word": " هنا", "probability": 0.9794921875}, {"start": 852.49, "end": 852.87, "word": " زي", "probability": 0.762939453125}, {"start": 852.87, "end": 852.95, "word": " ما", "probability": 0.83740234375}, {"start": 852.95, "end": 853.17, "word": " اضيف", "probability": 0.8333333333333334}, {"start": 853.17, "end": 853.53, "word": " رقم", "probability": 0.9762369791666666}, {"start": 853.53, "end": 853.73, "word": " هنا", "probability": 0.97412109375}, {"start": 853.73, "end": 854.05, "word": " عادي", "probability": 0.92041015625}, {"start": 854.05, "end": 854.43, "word": " جدا", "probability": 0.986572265625}, {"start": 854.43, "end": 855.31, "word": " واتنين", "probability": 0.78289794921875}, {"start": 855.31, "end": 855.85, "word": " positive", "probability": 0.89599609375}, {"start": 855.85, "end": 856.27, "word": " positive", "probability": 0.50146484375}, {"start": 856.27, "end": 856.49, "word": " ولا", "probability": 0.39306640625}, {"start": 856.49, "end": 856.85, "word": " negative", "probability": 0.91064453125}, {"start": 856.85, "end": 857.07, "word": " في", "probability": 0.88525390625}, {"start": 857.07, "end": 857.31, "word": " حالة", "probability": 0.8572591145833334}, {"start": 857.31, "end": 857.59, "word": " الجامعة", "probability": 0.7867024739583334}, {"start": 857.59, "end": 858.13, "word": " ماتفرجش", "probability": 0.673095703125}, {"start": 858.13, "end": 858.47, "word": " عندي", "probability": 0.9296875}, {"start": 858.47, "end": 859.45, "word": " المشكلة", "probability": 0.9892578125}, {"start": 859.45, "end": 859.61, "word": " في", "probability": 0.958984375}, {"start": 859.61, "end": 859.93, "word": " حالة", "probability": 0.9957682291666666}, {"start": 859.93, "end": 860.31, "word": " الضرب", "probability": 0.8175455729166666}, {"start": 860.31, "end": 860.57, "word": " او", "probability": 0.8623046875}, {"start": 860.57, "end": 861.57, "word": " القسمة", "probability": 0.9765625}, {"start": 861.57, "end": 862.01, "word": " يبقى", "probability": 0.9755859375}, {"start": 862.01, "end": 862.21, "word": " هنا", "probability": 0.9873046875}, {"start": 862.21, "end": 862.45, "word": " لو", "probability": 0.73828125}, {"start": 862.45, "end": 862.99, "word": " اضفت", "probability": 0.9217529296875}, {"start": 862.99, "end": 863.31, "word": " اتنين", "probability": 0.982421875}, {"start": 863.31, "end": 863.83, "word": " بيصير", "probability": 0.8465576171875}, {"start": 863.83, "end": 864.29, "word": " x", "probability": 0.55615234375}, {"start": 864.29, "end": 865.19, "word": " في", "probability": 0.96435546875}, {"start": 865.19, "end": 865.67, "word": " y", "probability": 0.96337890625}, {"start": 865.67, "end": 866.81, "word": " ناقص", "probability": 0.96875}, {"start": 866.81, "end": 867.23, "word": " x", "probability": 0.97216796875}, {"start": 867.23, "end": 868.27, "word": " ناقص", "probability": 0.9903564453125}, {"start": 868.27, "end": 868.77, "word": " y", "probability": 0.99267578125}, {"start": 868.77, "end": 869.67, "word": " زائدي", "probability": 0.6920572916666666}, {"start": 869.67, "end": 870.25, "word": " اتنين", "probability": 0.9647216796875}, {"start": 870.25, "end": 871.17, "word": " اكبر", "probability": 0.9493815104166666}, {"start": 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واحد يبقى موجود في جي يبقى هذا بده يعطيلك ان ال X Y ناقص X ناقص Y زي دي اتنين belongs to G لذلك star is a binary operation لأن تحت العملية اللي عندنا هذه ال star طلع الناتج موجود في G إذا هذه مالها binary operation", "tokens": [1829, 3555, 4587, 7578, 3543, 18863, 3215, 3215, 13672, 1829, 18871, 16254, 23758, 5551, 4117, 26890, 9154, 36764, 24401, 7251, 3555, 4587, 7578, 3714, 29245, 23328, 8978, 10874, 1829, 7251, 3555, 4587, 7578, 23758, 47525, 3224, 37495, 9566, 1829, 23275, 16472, 2423, 1783, 398, 8717, 995, 4587, 9381, 1783, 8717, 995, 4587, 9381, 398, 30767, 1829, 11778, 1829, 1975, 2655, 1863, 9957, 12953, 281, 460, 5296, 8848, 23275, 3543, 307, 257, 17434, 6916, 5296, 33456, 6055, 33753, 18863, 42213, 10632, 13672, 1829, 43242, 8315, 29538, 2423, 3543, 23032, 1211, 3615, 28239, 9307, 7435, 3714, 29245, 23328, 8978, 460, 11933, 15730, 29538, 3714, 6027, 11296, 17434, 6916], "avg_logprob": -0.2424065442842858, "compression_ratio": 1.7256637168141593, "no_speech_prob": 0.0, 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identity element الشرط التالت كل عنصر في ال group تحت هذه العملية بدي يكون له معكوس بحيث لو ضربت عنصر في معكوسه بدي يطين من عنصر المحايد ال identity element لو تحققت الشروط هذه التلاتة بقول يبقى الجيل اللي عندي is a group", "tokens": [1829, 3555, 4587, 7578, 9673, 5016, 995, 25708, 34051, 2423, 2407, 24401, 3660, 31439, 2423, 6575, 4478, 25124, 2288, 9566, 16712, 6027, 2655, 28242, 18871, 9381, 2288, 8978, 2423, 1594, 6055, 33753, 29538, 18863, 42213, 10632, 4724, 16254, 7251, 30544, 46740, 20449, 4117, 41779, 4724, 5016, 1829, 12984, 45164, 48812, 25513, 2655, 18871, 9381, 2288, 8978, 20449, 4117, 41779, 3224, 4724, 16254, 7251, 9566, 1829, 1863, 9154, 18871, 9381, 2288, 9673, 5016, 995, 25708, 2423, 6575, 4478, 45164, 6055, 5016, 4587, 38149, 25124, 32887, 9566, 29538, 16712, 1211, 9307, 3660, 4724, 39648, 7251, 3555, 4587, 7578, 25724, 26895, 13672, 1829, 18871, 16254, 307, 257, 1594], "avg_logprob": -0.17688679667013996, "compression_ratio": 1.9023255813953488, "no_speech_prob": 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{"start": 970.82, "end": 971.26, "word": " في", "probability": 0.94775390625}, {"start": 971.26, "end": 971.92, "word": " ال", "probability": 0.81982421875}, {"start": 971.92, "end": 972.32, "word": " group", "probability": 0.96240234375}, {"start": 972.32, "end": 972.82, "word": " تحت", "probability": 0.99169921875}, {"start": 972.82, "end": 973.24, "word": " هذه", "probability": 0.97998046875}, {"start": 973.24, "end": 973.86, "word": " العملية", "probability": 0.97900390625}, {"start": 973.86, "end": 974.26, "word": " بدي", "probability": 0.5458984375}, {"start": 974.26, "end": 974.64, "word": " يكون", "probability": 0.702880859375}, {"start": 974.64, "end": 974.84, "word": " له", "probability": 0.294189453125}, {"start": 974.84, "end": 975.86, "word": " معكوس", "probability": 0.8922526041666666}, {"start": 975.86, "end": 976.92, "word": " بحيث", "probability": 0.9664306640625}, {"start": 976.92, "end": 977.28, "word": " لو", "probability": 0.9794921875}, {"start": 977.28, "end": 977.9, "word": " ضربت", "probability": 0.9845377604166666}, {"start": 977.9, "end": 978.52, "word": " عنصر", "probability": 0.9300130208333334}, {"start": 978.52, "end": 978.64, "word": " في", "probability": 0.90771484375}, {"start": 978.64, "end": 979.52, "word": " معكوسه", "probability": 0.7318115234375}, {"start": 979.52, "end": 980.0, "word": " بدي", "probability": 0.6109619140625}, {"start": 980.0, "end": 980.4, "word": " يطين", "probability": 0.547027587890625}, {"start": 980.4, "end": 980.8, "word": " من", "probability": 0.86865234375}, {"start": 980.8, "end": 981.9, "word": " عنصر", "probability": 0.93603515625}, {"start": 981.9, "end": 982.6, "word": " المحايد", "probability": 0.9683837890625}, {"start": 982.6, "end": 982.76, "word": " ال", "probability": 0.73046875}, {"start": 982.76, "end": 983.44, "word": " identity", "probability": 0.87060546875}, {"start": 983.44, "end": 984.06, "word": " element", "probability": 0.97705078125}, {"start": 984.06, "end": 984.34, "word": " لو", "probability": 0.88134765625}, {"start": 984.34, "end": 985.08, "word": " تحققت", "probability": 0.9476318359375}, {"start": 985.08, "end": 985.68, "word": " الشروط", "probability": 0.8995768229166666}, {"start": 985.68, "end": 985.96, "word": " هذه", "probability": 0.8310546875}, {"start": 985.96, "end": 986.84, "word": " التلاتة", "probability": 0.97216796875}, {"start": 986.84, "end": 987.36, "word": " بقول", "probability": 0.8916015625}, {"start": 987.36, "end": 987.84, "word": " يبقى", "probability": 0.9608154296875}, {"start": 987.84, "end": 988.26, "word": " الجيل", "probability": 0.683837890625}, {"start": 988.26, "end": 988.4, "word": " اللي", "probability": 0.929931640625}, {"start": 988.4, "end": 988.82, "word": " عندي", "probability": 0.796142578125}, {"start": 988.82, "end": 989.52, "word": " is", "probability": 0.9033203125}, {"start": 989.52, "end": 990.02, "word": " a", "probability": 0.9775390625}, {"start": 990.02, "end": 990.46, "word": " group", "probability": 0.97607421875}], "temperature": 1.0}, {"id": 42, "seek": 101683, "start": 990.69, "end": 1016.83, "text": "الكلام اللى سمعته بناروح نكتبه لإنه كل ال section مبني على مين على الكلمتين اللى سمعتهم يبقى بداجي الى definition يبقى definition let ال g be a non empty non empty set", "tokens": [6027, 28820, 10943, 13672, 7578, 8608, 2304, 34268, 3224, 4724, 8315, 32887, 5016, 8717, 4117, 2655, 3555, 3224, 5296, 28814, 1863, 3224, 28242, 2423, 3541, 3714, 3555, 22653, 15844, 3714, 9957, 15844, 33251, 19528, 2655, 9957, 13672, 7578, 8608, 2304, 34268, 16095, 7251, 3555, 4587, 7578, 47525, 26108, 1829, 2423, 7578, 7123, 7251, 3555, 4587, 7578, 7123, 718, 2423, 290, 312, 257, 2107, 6707, 2107, 6707, 992], "avg_logprob": -0.22529870600384824, "compression_ratio": 1.6339869281045751, "no_speech_prob": 0.0, "words": [{"start": 990.69, "end": 991.57, "word": "الكلام", "probability": 0.86962890625}, {"start": 991.57, "end": 991.73, "word": " اللى", "probability": 0.828857421875}, {"start": 991.73, "end": 992.39, "word": " سمعته", "probability": 0.983642578125}, {"start": 992.39, "end": 993.01, "word": " بناروح", "probability": 0.7071533203125}, {"start": 993.01, "end": 993.53, "word": " نكتبه", "probability": 0.979296875}, {"start": 993.53, "end": 993.93, "word": " لإنه", "probability": 0.7232666015625}, {"start": 993.93, "end": 994.17, "word": " كل", "probability": 0.958984375}, {"start": 994.17, "end": 994.39, "word": " ال", "probability": 0.83203125}, {"start": 994.39, "end": 994.75, "word": " section", "probability": 0.81103515625}, {"start": 994.75, "end": 995.29, "word": " مبني", "probability": 0.9510091145833334}, {"start": 995.29, "end": 995.87, "word": " على", "probability": 0.8564453125}, {"start": 995.87, "end": 996.15, "word": " مين", "probability": 0.5863037109375}, {"start": 996.15, "end": 996.63, "word": " على", "probability": 0.54345703125}, {"start": 996.63, "end": 997.79, "word": " الكلمتين", "probability": 0.8824462890625}, {"start": 997.79, "end": 998.15, "word": " اللى", "probability": 0.9482421875}, {"start": 998.15, "end": 998.77, "word": " سمعتهم", "probability": 0.931396484375}, {"start": 998.77, "end": 999.49, "word": " يبقى", "probability": 0.9674072265625}, {"start": 999.49, "end": 1000.05, "word": " بداجي", "probability": 0.538818359375}, {"start": 1000.05, "end": 1000.37, "word": " الى", "probability": 0.708984375}, {"start": 1000.37, "end": 1001.17, "word": " definition", "probability": 0.9296875}, {"start": 1001.17, "end": 1002.49, "word": " يبقى", "probability": 0.902587890625}, {"start": 1002.49, "end": 1003.53, "word": " definition", "probability": 0.93115234375}, {"start": 1003.53, "end": 1005.85, "word": " let", "probability": 0.8701171875}, {"start": 1005.85, "end": 1007.33, "word": " ال", "probability": 0.44970703125}, {"start": 1007.33, "end": 1007.73, "word": " g", "probability": 0.576171875}, {"start": 1007.73, "end": 1009.37, "word": " be", "probability": 0.62060546875}, {"start": 1009.37, "end": 1010.51, "word": " a", "probability": 0.98681640625}, {"start": 1010.51, "end": 1011.15, "word": " non", "probability": 0.84033203125}, {"start": 1011.15, "end": 1012.85, "word": " empty", "probability": 0.666015625}, {"start": 1012.85, "end": 1014.75, "word": " non", "probability": 0.66357421875}, {"start": 1014.75, "end": 1015.65, "word": " empty", "probability": 0.68310546875}, {"start": 1015.65, "end": 1016.83, "word": " set", "probability": 0.95751953125}], "temperature": 1.0}, {"id": 43, "seek": 104483, "start": 1018.88, "end": 1044.84, "text": "and let a star be a binary operation on اللي هو g على set g then", "tokens": [474, 718, 257, 3543, 312, 257, 17434, 6916, 322, 13672, 1829, 31439, 290, 15844, 992, 290, 550], "avg_logprob": -0.3476562367545234, "compression_ratio": 0.9733333333333334, "no_speech_prob": 0.0, "words": [{"start": 1018.88, "end": 1019.66, "word": "and", "probability": 0.356689453125}, {"start": 1019.66, "end": 1021.48, "word": " let", "probability": 0.90576171875}, {"start": 1021.48, "end": 1023.44, "word": " a", "probability": 0.34130859375}, {"start": 1023.44, "end": 1023.98, "word": " star", "probability": 0.77783203125}, {"start": 1023.98, "end": 1026.28, "word": " be", "probability": 0.84130859375}, {"start": 1026.28, "end": 1029.84, "word": " a", "probability": 0.984375}, {"start": 1029.84, "end": 1030.82, "word": " binary", "probability": 0.8515625}, {"start": 1030.82, "end": 1037.64, "word": " operation", "probability": 0.962890625}, {"start": 1037.64, "end": 1038.48, "word": " on", "probability": 0.642578125}, {"start": 1038.48, "end": 1040.04, "word": " اللي", "probability": 0.7249755859375}, {"start": 1040.04, "end": 1040.4, "word": " هو", "probability": 0.98291015625}, {"start": 1040.4, "end": 1040.78, "word": " g", "probability": 0.496337890625}, {"start": 1040.78, "end": 1042.08, "word": " على", "probability": 0.77734375}, {"start": 1042.08, "end": 1042.84, "word": " set", "probability": 0.548828125}, {"start": 1042.84, "end": 1043.6, "word": " g", "probability": 0.76123046875}, {"start": 1043.6, "end": 1044.84, "word": " then", "probability": 0.79736328125}], "temperature": 1.0}, {"id": 44, "seek": 107075, "start": 1047.23, "end": 1070.75, "text": "ال جي والستار مع بعض هدول يعني الست جي والستار عملية عليها هدى is called a group بنسميها مجموعة if the following properties", "tokens": [6027, 10874, 1829, 16070, 14851, 9640, 20449, 45030, 11242, 8032, 3215, 12610, 37495, 22653, 2423, 14851, 10874, 1829, 16070, 14851, 9640, 6225, 42213, 10632, 25894, 11296, 8032, 3215, 7578, 307, 1219, 257, 1594, 44945, 38251, 1829, 11296, 3714, 7435, 2304, 2407, 27884, 498, 264, 3480, 7221], "avg_logprob": -0.27144281914893614, "compression_ratio": 1.3880597014925373, "no_speech_prob": 0.0, "words": [{"start": 1047.23, "end": 1047.63, "word": "ال", "probability": 0.939453125}, {"start": 1047.63, "end": 1048.17, "word": " جي", "probability": 0.429534912109375}, {"start": 1048.17, "end": 1049.57, "word": " والستار", "probability": 0.6717936197916666}, {"start": 1049.57, "end": 1050.37, "word": " مع", "probability": 0.98388671875}, {"start": 1050.37, "end": 1050.97, "word": " بعض", "probability": 0.995361328125}, {"start": 1050.97, "end": 1051.55, "word": " هدول", "probability": 0.8346354166666666}, {"start": 1051.55, "end": 1052.15, "word": " يعني", "probability": 0.776611328125}, {"start": 1052.15, "end": 1052.47, "word": " الست", "probability": 0.5272216796875}, {"start": 1052.47, "end": 1052.73, "word": " جي", "probability": 0.8974609375}, {"start": 1052.73, "end": 1053.17, "word": " والستار", "probability": 0.8916015625}, {"start": 1053.17, "end": 1053.61, "word": " عملية", "probability": 0.72607421875}, {"start": 1053.61, "end": 1054.07, "word": " عليها", "probability": 0.974609375}, {"start": 1054.07, "end": 1054.71, "word": " هدى", "probability": 0.633056640625}, {"start": 1054.71, "end": 1055.55, "word": " is", "probability": 0.69921875}, {"start": 1055.55, "end": 1057.45, "word": " called", "probability": 0.9052734375}, {"start": 1057.45, "end": 1058.93, "word": " a", "probability": 0.87646484375}, {"start": 1058.93, "end": 1059.69, "word": " group", "probability": 0.95703125}, {"start": 1059.69, "end": 1062.07, "word": " بنسميها", "probability": 0.9569091796875}, {"start": 1062.07, "end": 1063.23, "word": " مجموعة", "probability": 0.9328125}, {"start": 1063.23, "end": 1064.17, "word": " if", "probability": 0.892578125}, {"start": 1064.17, "end": 1066.03, "word": " the", "probability": 0.89013671875}, {"start": 1066.03, "end": 1067.95, "word": " following", "probability": 0.890625}, {"start": 1067.95, "end": 1070.75, "word": " properties", "probability": 0.353271484375}], "temperature": 1.0}, {"id": 45, "seek": 110403, "start": 1075.71, "end": 1104.03, "text": "if the following reporters are satisfied are satisfied ايش الخواص هذه اللي هو الخاصية الأولى the star is associative associative", "tokens": [351, 264, 3480, 2275, 433, 366, 11239, 366, 11239, 1975, 1829, 8592, 33962, 2407, 33546, 29538, 13672, 1829, 31439, 33962, 33546, 10632, 16247, 12610, 7578, 264, 3543, 307, 4180, 1166, 4180, 1166], "avg_logprob": -0.2947443181818182, "compression_ratio": 1.325, "no_speech_prob": 0.0, "words": [{"start": 1075.71, "end": 1076.05, "word": "if", "probability": 0.2298583984375}, {"start": 1076.05, "end": 1076.25, "word": " the", "probability": 0.88671875}, {"start": 1076.25, "end": 1076.57, "word": " following", "probability": 0.82275390625}, {"start": 1076.57, "end": 1077.37, "word": " reporters", "probability": 0.426025390625}, {"start": 1077.37, "end": 1077.75, "word": " are", "probability": 0.95849609375}, {"start": 1077.75, "end": 1078.79, "word": " satisfied", "probability": 0.841796875}, {"start": 1078.79, "end": 1080.17, "word": " are", "probability": 0.78857421875}, {"start": 1080.17, "end": 1082.55, "word": " satisfied", "probability": 0.87353515625}, {"start": 1082.55, "end": 1088.23, "word": " ايش", "probability": 0.7667643229166666}, {"start": 1088.23, "end": 1089.09, "word": " الخواص", "probability": 0.85009765625}, {"start": 1089.09, "end": 1089.53, "word": " هذه", "probability": 0.362060546875}, {"start": 1089.53, "end": 1090.73, "word": " اللي", "probability": 0.788330078125}, {"start": 1090.73, "end": 1091.19, "word": " هو", "probability": 0.98046875}, {"start": 1091.19, "end": 1093.27, "word": " الخاصية", "probability": 0.98193359375}, {"start": 1093.27, "end": 1095.35, "word": " الأولى", "probability": 0.94482421875}, {"start": 1095.35, "end": 1095.99, "word": " the", "probability": 0.165771484375}, {"start": 1095.99, "end": 1096.61, "word": " star", "probability": 0.90771484375}, {"start": 1096.61, "end": 1098.11, "word": " is", "probability": 0.939453125}, {"start": 1098.11, "end": 1100.59, "word": " associative", "probability": 0.952880859375}, {"start": 1100.59, "end": 1104.03, "word": " associative", "probability": 0.980224609375}], "temperature": 1.0}, {"id": 46, "seek": 113076, "start": 1104.8, "end": 1130.76, "text": "that is a star b a star c بدو يساوي a star b star c لكل ال a و ال b و ال c اللي موجودة في ال group g ال condition الثاني", "tokens": [6780, 307, 257, 3543, 272, 257, 3543, 269, 47525, 2407, 7251, 3794, 995, 45865, 257, 3543, 272, 3543, 269, 5296, 28820, 2423, 257, 4032, 2423, 272, 4032, 2423, 269, 13672, 1829, 3714, 29245, 23328, 3660, 8978, 2423, 1594, 290, 2423, 4188, 6024, 104, 7649, 1829], "avg_logprob": -0.24983016045197196, "compression_ratio": 1.412280701754386, "no_speech_prob": 0.0, "words": [{"start": 1104.8, "end": 1105.26, "word": "that", "probability": 0.2305908203125}, {"start": 1105.26, "end": 1106.08, "word": " is", "probability": 0.951171875}, {"start": 1106.08, "end": 1109.1, "word": " a", "probability": 0.6298828125}, {"start": 1109.1, "end": 1109.82, "word": " star", "probability": 0.274169921875}, {"start": 1109.82, "end": 1110.38, "word": " b", "probability": 0.92041015625}, {"start": 1110.38, "end": 1111.92, "word": " a", "probability": 0.783203125}, 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"probability": 0.98681640625}, {"start": 1363.9, "end": 1364.46, "word": " الموضوع", "probability": 0.8560791015625}, {"start": 1364.46, "end": 1366.22, "word": " المجموعات", "probability": 0.98291015625}, {"start": 1366.22, "end": 1367.06, "word": " الان", "probability": 0.666259765625}, {"start": 1367.06, "end": 1367.6, "word": " نعرف", "probability": 0.85107421875}, {"start": 1367.6, "end": 1368.32, "word": " المجموعة", "probability": 0.90146484375}, {"start": 1368.32, "end": 1368.46, "word": " و", "probability": 0.400146484375}, {"start": 1368.46, "end": 1368.7, "word": " بعدين", "probability": 0.885498046875}, {"start": 1368.7, "end": 1369.3, "word": " ناخد", "probability": 0.9778645833333334}], "temperature": 1.0}, {"id": 55, "seek": 139229, "start": 1369.57, "end": 1392.29, "text": "أمثلة متعددة على المجموعة بدل المثال عشر او احد مثال وبعد ذلك ناخد بعض خواص المجموعات البسيطة يبقى التعليف بيقول ما يتفترض ان G هو عبارة عن non-empty set يبقى ليست الفئة الخاوية وانما على الأقل فيها ولو عنصر واحد", "tokens": [10721, 2304, 12984, 37977, 44650, 22488, 41891, 15844, 9673, 7435, 2304, 45367, 3660, 47525, 1211, 9673, 12984, 6027, 6225, 46309, 1975, 2407, 1975, 24401, 3714, 12984, 6027, 46599, 22488, 29910, 23275, 8717, 47283, 3215, 45030, 11242, 16490, 2407, 33546, 9673, 7435, 2304, 45367, 9307, 29739, 3794, 1829, 9566, 3660, 7251, 3555, 4587, 7578, 16712, 3615, 20292, 5172, 4724, 1829, 39648, 19446, 7251, 2655, 5172, 2655, 43042, 16472, 460, 31439, 6225, 3555, 9640, 3660, 18871, 2107, 12, 4543, 88, 992, 7251, 3555, 4587, 7578, 32239, 14851, 27188, 19986, 3660, 33962, 995, 2407, 10632, 4032, 7649, 15042, 15844, 16247, 4587, 1211, 8978, 11296, 35525, 2407, 18871, 9381, 2288, 36764, 24401], "avg_logprob": -0.1704415132146363, "compression_ratio": 1.6832579185520362, "no_speech_prob": 0.0, "words": [{"start": 1369.57, "end": 1370.33, "word": "أمثلة", "probability": 0.83984375}, {"start": 1370.33, "end": 1371.11, "word": " متعددة", "probability": 0.9615885416666666}, 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"word": " فيها", "probability": 0.987548828125}, {"start": 1390.23, "end": 1390.83, "word": " ولو", "probability": 0.772216796875}, {"start": 1390.83, "end": 1391.87, "word": " عنصر", "probability": 0.8899739583333334}, {"start": 1391.87, "end": 1392.29, "word": " واحد", "probability": 0.99462890625}], "temperature": 1.0}, {"id": 56, "seek": 141114, "start": 1392.86, "end": 1411.14, "text": "and let the star be a binary operation على g الست جي معالي الstar مع بعض هدول بيكونولي a group إذا تحققت عندي ثلاثة خواص أو ثلاثة شروط", "tokens": [474, 718, 264, 3543, 312, 257, 17434, 6916, 15844, 290, 2423, 14851, 10874, 1829, 20449, 6027, 1829, 2423, 9710, 20449, 45030, 11242, 8032, 3215, 12610, 4724, 1829, 30544, 12610, 1829, 257, 1594, 11933, 15730, 6055, 5016, 4587, 38149, 18871, 16254, 38637, 1211, 5718, 104, 3660, 16490, 2407, 33546, 34051, 38637, 1211, 5718, 104, 3660, 13412, 32887, 9566], "avg_logprob": -0.2327586260849032, "compression_ratio": 1.3006535947712419, "no_speech_prob": 0.0, 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1401.24, "end": 1401.94, "word": " معالي", "probability": 0.6885579427083334}, {"start": 1401.94, "end": 1402.46, "word": " الstar", "probability": 0.687744140625}, {"start": 1402.46, "end": 1402.8, "word": " مع", "probability": 0.978515625}, {"start": 1402.8, "end": 1403.42, "word": " بعض", "probability": 0.9921875}, {"start": 1403.42, "end": 1404.22, "word": " هدول", "probability": 0.9305013020833334}, {"start": 1404.22, "end": 1405.32, "word": " بيكونولي", "probability": 0.944140625}, {"start": 1405.32, "end": 1405.64, "word": " a", "probability": 0.41650390625}, {"start": 1405.64, "end": 1406.06, "word": " group", "probability": 0.97216796875}, {"start": 1406.06, "end": 1406.4, "word": " إذا", "probability": 0.841796875}, {"start": 1406.4, "end": 1407.26, "word": " تحققت", "probability": 0.92236328125}, {"start": 1407.26, "end": 1407.82, "word": " عندي", "probability": 0.851318359375}, {"start": 1407.82, "end": 1408.68, "word": " ثلاثة", "probability": 0.9326171875}, {"start": 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"end": 1417.79, "word": " يبقى", "probability": 0.81524658203125}, {"start": 1417.79, "end": 1417.97, "word": " هي", "probability": 0.72412109375}, {"start": 1417.97, "end": 1418.57, "word": " عملية", "probability": 0.9825846354166666}, {"start": 1418.57, "end": 1419.31, "word": " إدماجية", "probability": 0.89697265625}, {"start": 1419.31, "end": 1420.21, "word": " بمعنى", "probability": 0.97216796875}, {"start": 1420.21, "end": 1420.45, "word": " ان", "probability": 0.51708984375}, {"start": 1420.45, "end": 1420.75, "word": " a", "probability": 0.50048828125}, {"start": 1420.75, "end": 1421.13, "word": " star", "probability": 0.474853515625}, {"start": 1421.13, "end": 1421.35, "word": " b", "probability": 0.53662109375}, {"start": 1421.35, "end": 1421.85, "word": " star", "probability": 0.939453125}, {"start": 1421.85, "end": 1422.45, "word": " c", "probability": 0.97900390625}, {"start": 1422.45, "end": 1423.43, "word": " يساوي", "probability": 0.8935546875}, {"start": 1423.43, 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58, "seek": 145772, "start": 1428.36, "end": 1457.72, "text": "والعنصر اللى ينتج يخلّيه أثر على مين؟ على C النتيجة تماما كما لو B أثرت على C طالع عنصر جديد هذا العنصر بدأ أثر عليه بإيه لازم يكون اتنين are equal ان حدث ذلك يبقى بقوله خاصية ال associativity الصحيحة لجميع العناصر يعني لما بدأ أخد A وB وC مش بدأ اختارهم عناصر محددة فلان وفلان بدأ أخد أي عناصر بغض النظر شو شكلهم", "tokens": [2407, 6027, 3615, 1863, 9381, 2288, 13672, 7578, 7251, 29399, 7435, 7251, 9778, 1211, 11703, 1829, 3224, 5551, 49115, 15844, 3714, 9957, 22807, 15844, 383, 28239, 31371, 7435, 3660, 46811, 10943, 995, 9122, 15042, 45164, 363, 5551, 49115, 2655, 15844, 383, 23032, 6027, 3615, 18871, 9381, 2288, 10874, 16254, 3215, 23758, 18863, 1863, 9381, 2288, 47525, 10721, 5551, 49115, 47356, 4724, 28814, 1829, 3224, 5296, 31377, 2304, 7251, 30544, 1975, 2655, 1863, 9957, 366, 2681, 16472, 11331, 3215, 12984, 29910, 23275, 7251, 3555, 4587, 7578, 4724, 39648, 3224, 16490, 33546, 10632, 2423, 4180, 30142, 31767, 5016, 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{"start": 1471.23, "end": 1472.09, "word": " في", "probability": 0.66748046875}, {"start": 1472.09, "end": 1472.43, "word": " جي", "probability": 0.59765625}, {"start": 1472.43, "end": 1472.93, "word": " itself", "probability": 0.5283203125}, {"start": 1472.93, "end": 1474.01, "word": " بحيث", "probability": 0.86260986328125}, {"start": 1474.01, "end": 1474.41, "word": " ان", "probability": 0.5732421875}, {"start": 1474.41, "end": 1474.75, "word": " لو", "probability": 0.6455078125}, {"start": 1474.75, "end": 1475.51, "word": " أثرت", "probability": 0.7976888020833334}, {"start": 1475.51, "end": 1475.85, "word": " بال", "probability": 0.958984375}, {"start": 1475.85, "end": 1476.25, "word": " A", "probability": 0.1971435546875}, {"start": 1476.25, "end": 1476.71, "word": " على", "probability": 0.70166015625}, {"start": 1476.71, "end": 1477.35, "word": " ال", "probability": 0.71044921875}, {"start": 1477.35, "end": 1477.83, "word": " E", "probability": 0.93359375}, {"start": 1477.83, "end": 1478.15, "word": " بال", "probability": 0.98046875}, {"start": 1478.15, "end": 1478.57, "word": " star", "probability": 0.10980224609375}, {"start": 1478.57, "end": 1478.97, "word": " هذه", "probability": 0.4736328125}, {"start": 1478.97, "end": 1479.99, "word": " تماما", "probability": 0.9860026041666666}, {"start": 1479.99, "end": 1480.59, "word": " كما", "probability": 0.901123046875}, {"start": 1480.59, "end": 1480.79, "word": " لو", "probability": 0.98388671875}, {"start": 1480.79, "end": 1481.35, "word": " أثرت", "probability": 0.91064453125}, {"start": 1481.35, "end": 1481.67, "word": " بال", "probability": 0.91015625}, {"start": 1481.67, "end": 1482.07, "word": " E", "probability": 0.9013671875}, {"start": 1482.07, "end": 1482.45, "word": " على", "probability": 0.86669921875}, {"start": 1482.45, "end": 1482.71, "word": " A", "probability": 0.6474609375}, {"start": 1482.71, "end": 1483.33, "word": " والنتج", "probability": 0.8538411458333334}, {"start": 1483.33, "end": 1483.73, "word": " طالع", "probability": 0.6781412760416666}, {"start": 1483.73, "end": 1483.97, "word": " ال", "probability": 0.8212890625}, {"start": 1483.97, "end": 1484.33, "word": " A", "probability": 0.7314453125}, {"start": 1484.33, "end": 1485.29, "word": " itself", "probability": 0.8134765625}], "temperature": 1.0}, {"id": 60, "seek": 151140, "start": 1485.66, "end": 1511.4, "text": "يبقى هذا اللي كنا بنسميه عنصر المحيد لا يتأثر أي element في المجموعة بهذا ال element تحت العملية star أثر عليه star بهذا العنصر ويبقى ال element كما هو يبقى إن حدث ذلك هذا بسميه عنصر المحيد او في لغة ال groups احنا هنسميه identity element اللي هو عنصر الوحدة لهذه المجموعة", "tokens": [1829, 3555, 4587, 7578, 23758, 13672, 1829, 9122, 8315, 44945, 38251, 1829, 3224, 18871, 9381, 2288, 9673, 5016, 25708, 20193, 7251, 2655, 10721, 49115, 36632, 4478, 8978, 9673, 7435, 2304, 2407, 27884, 39627, 15730, 2423, 4478, 6055, 33753, 18863, 42213, 10632, 3543, 5551, 49115, 47356, 3543, 39627, 15730, 18863, 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"word": " عنصر", "probability": 0.9773763020833334}, {"start": 1488.12, "end": 1488.88, "word": " المحيد", "probability": 0.8517252604166666}, {"start": 1488.88, "end": 1489.24, "word": " لا", "probability": 0.70556640625}, {"start": 1489.24, "end": 1490.16, "word": " يتأثر", "probability": 0.916748046875}, {"start": 1490.16, "end": 1490.62, "word": " أي", "probability": 0.541015625}, {"start": 1490.62, "end": 1491.26, "word": " element", "probability": 0.94580078125}, {"start": 1491.26, "end": 1491.5, "word": " في", "probability": 0.9482421875}, {"start": 1491.5, "end": 1492.3, "word": " المجموعة", "probability": 0.90732421875}, {"start": 1492.3, "end": 1492.8, "word": " بهذا", "probability": 0.896484375}, {"start": 1492.8, "end": 1492.98, "word": " ال", "probability": 0.7080078125}, {"start": 1492.98, "end": 1493.36, "word": " element", "probability": 0.939453125}, {"start": 1493.36, "end": 1494.2, "word": " تحت", "probability": 0.982421875}, {"start": 1494.2, "end": 1494.84, "word": " العملية", "probability": 0.982421875}, {"start": 1494.84, "end": 1495.34, "word": " star", "probability": 0.703125}, {"start": 1495.34, "end": 1496.26, "word": " أثر", "probability": 0.80322265625}, {"start": 1496.26, "end": 1496.62, "word": " عليه", "probability": 0.9814453125}, {"start": 1496.62, "end": 1497.02, "word": " star", "probability": 0.6748046875}, {"start": 1497.02, "end": 1497.42, "word": " بهذا", "probability": 0.983154296875}, {"start": 1497.42, "end": 1497.84, "word": " العنصر", "probability": 0.83642578125}, {"start": 1497.84, "end": 1498.14, "word": " ويبقى", "probability": 0.737158203125}, {"start": 1498.14, "end": 1498.3, "word": " ال", "probability": 0.403564453125}, {"start": 1498.3, "end": 1498.7, "word": " element", "probability": 0.98583984375}, {"start": 1498.7, "end": 1499.16, "word": " كما", "probability": 0.967529296875}, {"start": 1499.16, "end": 1499.46, "word": " هو", "probability": 0.9951171875}, {"start": 1499.46, "end": 1500.36, "word": " يبقى", "probability": 0.958984375}, {"start": 1500.36, "end": 1500.58, "word": " إن", "probability": 0.7216796875}, {"start": 1500.58, "end": 1501.02, "word": " حدث", "probability": 0.9918619791666666}, {"start": 1501.02, "end": 1501.52, "word": " ذلك", "probability": 0.980712890625}, {"start": 1501.52, "end": 1501.78, "word": " هذا", "probability": 0.4228515625}, {"start": 1501.78, "end": 1502.28, "word": " بسميه", "probability": 0.9031982421875}, {"start": 1502.28, "end": 1502.78, "word": " عنصر", "probability": 0.9871419270833334}, {"start": 1502.78, "end": 1503.48, "word": " المحيد", "probability": 0.98583984375}, {"start": 1503.48, "end": 1504.12, "word": " او", "probability": 0.72216796875}, {"start": 1504.12, "end": 1504.32, "word": " في", "probability": 0.88525390625}, {"start": 1504.32, "end": 1504.66, "word": " لغة", "probability": 0.96240234375}, {"start": 1504.66, "end": 1504.78, "word": " ال", "probability": 0.8369140625}, {"start": 1504.78, "end": 1505.08, "word": " groups", 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والاخير قال لي 4H اللي موجود في G لأي عنصر A موجود في G هلاقي عنصر تاني اسمه B موجود في G بحيث لو ضربته من اليمين او من الشمال A Star B بلاقي النتيجة هو B Star A يسوى ال identity element itself يبقى هذا بده يعطيني عنصر الوحدة نفسه", "tokens": [3555, 1863, 11242, 1211, 43242, 2423, 4188, 16712, 6027, 2655, 16070, 47283, 13546, 50239, 32239, 1017, 39, 13672, 1829, 3714, 29245, 23328, 8978, 460, 5296, 10721, 1829, 18871, 9381, 2288, 316, 3714, 29245, 23328, 8978, 460, 8032, 15040, 38436, 18871, 9381, 2288, 6055, 7649, 1829, 24525, 2304, 3224, 363, 3714, 29245, 23328, 8978, 460, 4724, 5016, 1829, 12984, 45164, 48812, 25513, 47395, 9154, 45595, 2304, 9957, 1975, 2407, 9154, 25124, 2304, 6027, 316, 5705, 363, 4724, 15040, 38436, 28239, 31371, 7435, 3660, 31439, 363, 5705, 316, 7251, 3794, 2407, 7578, 2423, 6575, 4478, 2564, 7251, 3555, 4587, 7578, 23758, 47525, 3224, 7251, 3615, 9566, 9957, 1829, 18871, 9381, 2288, 2423, 2407, 24401, 3660, 8717, 36178, 3224], "avg_logprob": 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اوبريشن يبقى هذه بسميها group لو تحققت الشروط التلتة يبقى انا في الحقيقة عندي تلت شروط ولا اربعة", "tokens": [1211, 31377, 2304, 8717, 3555, 4587, 7578, 4724, 1829, 8315, 16572, 1975, 2407, 26890, 1829, 8592, 1863, 5551, 12610, 995, 38637, 2304, 6055, 2655, 5016, 4587, 4587, 25124, 32887, 9566, 16712, 1211, 2655, 3660, 6055, 9566, 1211, 3615, 25124, 7435, 25720, 16712, 3615, 16572, 5172, 10874, 1829, 8315, 2304, 2655, 14851, 9307, 9640, 4724, 1829, 4724, 1829, 8315, 16572, 1975, 2407, 26890, 1829, 8592, 1863, 7251, 3555, 4587, 7578, 29538, 4724, 38251, 1829, 11296, 1594, 45164, 6055, 5016, 4587, 4587, 2655, 25124, 32887, 9566, 16712, 1211, 2655, 3660, 7251, 3555, 4587, 7578, 1975, 8315, 8978, 21542, 38436, 28671, 18871, 16254, 6055, 1211, 2655, 13412, 32887, 9566, 49429, 1975, 25513, 27884], "avg_logprob": -0.27744933291598484, "compression_ratio": 1.9385474860335195, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1709.82, "end": 1710.4, "word": "لازم", "probability": 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"end": 2039.16, "text": "يبقى هنا بقوله because a plus is a by أو associative بالمرة كمان is associative binary operation on z والي q", "tokens": [1829, 3555, 4587, 7578, 34105, 4724, 39648, 3224, 570, 257, 1804, 307, 257, 538, 34051, 4180, 1166, 20666, 2304, 25720, 9122, 2304, 7649, 307, 4180, 1166, 17434, 6916, 322, 710, 16070, 1829, 9505], "avg_logprob": -0.2545955768402885, "compression_ratio": 1.1929824561403508, "no_speech_prob": 0.0, "words": [{"start": 2012.56, "end": 2013.22, "word": "يبقى", "probability": 0.8397216796875}, {"start": 2013.22, "end": 2013.48, "word": " هنا", "probability": 0.97705078125}, {"start": 2013.48, "end": 2014.16, "word": " بقوله", "probability": 0.8671875}, {"start": 2014.16, "end": 2014.58, "word": " because", "probability": 0.6142578125}, {"start": 2014.58, "end": 2015.86, "word": " a", "probability": 0.396728515625}, {"start": 2015.86, "end": 2016.46, "word": " plus", "probability": 0.8330078125}, {"start": 2016.46, "end": 2017.32, "word": " is", "probability": 0.9501953125}, {"start": 2017.32, "end": 2018.04, "word": " a", "probability": 0.853515625}, {"start": 2018.04, "end": 2019.24, "word": " by", "probability": 0.242919921875}, {"start": 2019.24, "end": 2019.66, "word": " أو", "probability": 0.7333984375}, {"start": 2019.66, "end": 2020.76, "word": " associative", "probability": 0.919677734375}, {"start": 2020.76, "end": 2021.4, "word": " بالمرة", "probability": 0.9080403645833334}, {"start": 2021.4, "end": 2021.86, "word": " كمان", "probability": 0.9884440104166666}, {"start": 2021.86, "end": 2023.06, "word": " is", "probability": 0.79931640625}, {"start": 2023.06, "end": 2026.08, "word": " associative", "probability": 0.970947265625}, {"start": 2026.08, "end": 2028.82, "word": " binary", "probability": 0.85888671875}, {"start": 2028.82, "end": 2033.3, "word": " operation", "probability": 0.96337890625}, {"start": 2033.3, "end": 2036.32, "word": " on", "probability": 0.9501953125}, {"start": 2036.32, "end": 2037.5, 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"word": " للأعداد", "probability": 0.71807861328125}, {"start": 2054.73, "end": 2055.85, "word": " الحقيقية", "probability": 0.99267578125}, {"start": 2055.85, "end": 2056.35, "word": " ما", "probability": 0.267578125}, {"start": 2056.35, "end": 2056.47, "word": " هي", "probability": 0.8896484375}, {"start": 2056.47, "end": 2057.01, "word": " النسبية", "probability": 0.9064127604166666}, {"start": 2057.01, "end": 2057.79, "word": " والصحيها", "probability": 0.800927734375}, {"start": 2057.79, "end": 2058.13, "word": " جزء", "probability": 0.9873046875}, {"start": 2058.13, "end": 2058.29, "word": " من", "probability": 0.994140625}, {"start": 2058.29, "end": 2058.73, "word": " الأعداد", "probability": 0.9283854166666666}, {"start": 2058.73, "end": 2059.55, "word": " الحقيقية", "probability": 0.9940185546875}, {"start": 2059.55, "end": 2060.21, "word": " يبقى", "probability": 0.8140869140625}, {"start": 2060.21, "end": 2060.57, "word": " الأعداد", "probability": 0.9435221354166666}, {"start": 2060.57, "end": 2061.17, "word": " الحقيقية", "probability": 0.992431640625}, {"start": 2061.17, "end": 2061.47, "word": " لما", "probability": 0.9169921875}, {"start": 2061.47, "end": 2061.77, "word": " أقول", "probability": 0.830810546875}, {"start": 2061.77, "end": 2062.27, "word": " اتنين", "probability": 0.939208984375}, {"start": 2062.27, "end": 2062.51, "word": " زي", "probability": 0.739013671875}, {"start": 2062.51, "end": 2063.03, "word": " التلاتة", "probability": 0.8157958984375}, {"start": 2063.03, "end": 2063.23, "word": " زي", "probability": 0.9892578125}, {"start": 2063.23, "end": 2063.83, "word": " الخمسة", "probability": 0.9276123046875}, {"start": 2063.83, "end": 2064.13, "word": " هو", "probability": 0.8857421875}, {"start": 2064.13, "end": 2064.91, "word": " تلاتة", "probability": 0.9677734375}, {"start": 2064.91, "end": 2065.11, "word": " زي", "probability": 0.991455078125}, {"start": 2065.11, "end": 2065.63, "word": " الخمسة", "probability": 0.944091796875}, {"start": 2065.63, "end": 2066.21, "word": " والإنتاج", "probability": 0.7113037109375}, {"start": 2066.21, "end": 2066.65, "word": " يضيف", "probability": 0.5049235026041666}, {"start": 2066.65, "end": 2066.81, "word": " له", "probability": 0.451904296875}, {"start": 2066.81, "end": 2067.19, "word": " اتنين", "probability": 0.941162109375}, {"start": 2067.19, "end": 2067.61, "word": " عادى", "probability": 0.7179361979166666}, {"start": 2067.61, "end": 2067.87, "word": " جدا", "probability": 0.980224609375}, {"start": 2067.87, "end": 2068.17, "word": " مافيش", "probability": 0.5901692708333334}, {"start": 2068.17, "end": 2068.33, "word": " فيها", "probability": 0.78466796875}, {"start": 2068.33, "end": 2068.81, "word": " مشكلة", "probability": 0.9763997395833334}], "temperature": 1.0}, {"id": 85, "seek": 209631, "start": 2069.19, "end": 2096.31, "text": "يبقى هذه بالنسبة لل associative طب مين ال identity element في حالة الجامعة ال zero يبقى هنا is هذه النقطة الأولى النقطة الثانية النقطة الثانية ال zero is the identity element because", "tokens": [1829, 3555, 4587, 7578, 29538, 20666, 1863, 35457, 3660, 24976, 4180, 1166, 23032, 3555, 3714, 9957, 2423, 6575, 4478, 8978, 11331, 6027, 3660, 25724, 10943, 27884, 2423, 4018, 7251, 3555, 4587, 7578, 34105, 307, 29538, 28239, 47432, 3660, 16247, 12610, 7578, 28239, 47432, 3660, 6024, 104, 7649, 10632, 28239, 47432, 3660, 6024, 104, 7649, 10632, 2423, 4018, 307, 264, 6575, 4478, 570], "avg_logprob": -0.14037698223477318, "compression_ratio": 1.7088607594936709, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2069.19, "end": 2069.71, "word": "يبقى", "probability": 0.9012451171875}, {"start": 2069.71, "end": 2069.99, "word": " هذه", "probability": 0.466796875}, {"start": 2069.99, "end": 2070.41, "word": " بالنسبة", "probability": 0.927001953125}, {"start": 2070.41, "end": 2070.59, "word": " لل", "probability": 0.9296875}, {"start": 2070.59, "end": 2071.19, "word": " associative", 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هنا", "probability": 0.98583984375}, {"start": 2079.89, "end": 2080.91, "word": " is", "probability": 0.455322265625}, {"start": 2080.91, "end": 2081.35, "word": " هذه", "probability": 0.490478515625}, {"start": 2081.35, "end": 2082.17, "word": " النقطة", "probability": 0.9744466145833334}, {"start": 2082.17, "end": 2083.31, "word": " الأولى", "probability": 0.9576822916666666}, {"start": 2083.31, "end": 2084.59, "word": " النقطة", "probability": 0.9757486979166666}, {"start": 2084.59, "end": 2085.53, "word": " الثانية", "probability": 0.9757080078125}, {"start": 2085.53, "end": 2086.99, "word": " النقطة", "probability": 0.9480794270833334}, {"start": 2086.99, "end": 2087.47, "word": " الثانية", "probability": 0.978271484375}, {"start": 2087.47, "end": 2087.69, "word": " ال", "probability": 0.9169921875}, {"start": 2087.69, "end": 2088.07, "word": " zero", "probability": 0.88916015625}, {"start": 2088.07, "end": 2088.85, "word": " is", "probability": 0.943359375}, {"start": 2088.85, "end": 2089.81, "word": " the", "probability": 0.7626953125}, {"start": 2089.81, "end": 2091.53, "word": " identity", "probability": 0.9326171875}, {"start": 2091.53, "end": 2094.03, "word": " element", "probability": 0.982421875}, {"start": 2094.03, "end": 2096.31, "word": " because", "probability": 0.919921875}], "temperature": 1.0}, {"id": 86, "seek": 212423, "start": 2100.18, "end": 2124.24, "text": "الـ zero زائد ال بي مثلا يساوي بي زائد ال zero بده يساوي ال بي itself الكلام هذا for all بي اللي موجودة في z أوي q and ال a طيب النقطة التالتة", "tokens": [6027, 39184, 4018, 30767, 16373, 3215, 2423, 4724, 1829, 50113, 15040, 7251, 3794, 995, 45865, 4724, 1829, 30767, 16373, 3215, 2423, 4018, 47525, 3224, 7251, 3794, 995, 45865, 2423, 4724, 1829, 2564, 2423, 28820, 10943, 23758, 337, 439, 4724, 1829, 13672, 1829, 3714, 29245, 23328, 3660, 8978, 710, 34051, 1829, 9505, 293, 2423, 257, 23032, 1829, 3555, 28239, 47432, 3660, 16712, 6027, 2655, 3660], "avg_logprob": -0.20853365384615385, "compression_ratio": 1.527027027027027, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 2100.18, "end": 2100.66, "word": "الـ", "probability": 0.4930419921875}, {"start": 2100.66, "end": 2100.94, "word": " zero", "probability": 0.229248046875}, {"start": 2100.94, "end": 2101.94, "word": " زائد", "probability": 0.6917317708333334}, {"start": 2101.94, "end": 2102.22, "word": " ال", "probability": 0.97509765625}, {"start": 2102.22, "end": 2102.62, "word": " بي", "probability": 0.5135498046875}, {"start": 2102.62, "end": 2103.32, "word": " مثلا", "probability": 0.856201171875}, {"start": 2103.32, "end": 2104.28, "word": " يساوي", "probability": 0.847412109375}, {"start": 2104.28, "end": 2104.94, "word": " بي", "probability": 0.87841796875}, {"start": 2104.94, "end": 2105.58, "word": " زائد", "probability": 0.9327799479166666}, {"start": 2105.58, "end": 2105.8, "word": " ال", "probability": 0.9609375}, {"start": 2105.8, "end": 2106.18, "word": " zero", "probability": 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0.9644775390625}, {"start": 2116.84, "end": 2117.16, "word": " في", "probability": 0.9638671875}, {"start": 2117.16, "end": 2117.72, "word": " z", "probability": 0.451171875}, {"start": 2117.72, "end": 2118.74, "word": " أوي", "probability": 0.814208984375}, {"start": 2118.74, "end": 2119.2, "word": " q", "probability": 0.8935546875}, {"start": 2119.2, "end": 2120.62, "word": " and", "probability": 0.884765625}, {"start": 2120.62, "end": 2121.24, "word": " ال", "probability": 0.60791015625}, {"start": 2121.24, "end": 2121.56, "word": " a", "probability": 0.67236328125}, {"start": 2121.56, "end": 2123.08, "word": " طيب", "probability": 0.9344075520833334}, {"start": 2123.08, "end": 2123.66, "word": " النقطة", "probability": 0.9552408854166666}, {"start": 2123.66, "end": 2124.24, "word": " التالتة", "probability": 0.96728515625}], "temperature": 1.0}, {"id": 87, "seek": 214938, "start": 2127.08, "end": 2149.38, "text": "لو أخدت element a موجود في أي منهما من المعكوس تبعه يعني مين العدد اللي بدي أضيفه إليه يطلع من؟ يطلع zero سالم العدد يبقى هنا the inverse of", "tokens": [1211, 2407, 5551, 9778, 3215, 2655, 4478, 257, 3714, 29245, 23328, 8978, 36632, 9154, 3224, 15042, 9154, 9673, 3615, 4117, 41779, 6055, 3555, 3615, 3224, 37495, 22653, 3714, 9957, 18863, 3215, 3215, 13672, 1829, 4724, 16254, 5551, 11242, 33911, 3224, 11933, 20292, 3224, 7251, 9566, 1211, 3615, 9154, 22807, 7251, 9566, 1211, 3615, 4018, 8608, 45340, 18863, 3215, 3215, 7251, 3555, 4587, 7578, 34105, 264, 17340, 295], "avg_logprob": -0.27481617471751046, "compression_ratio": 1.4339622641509433, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2127.08, "end": 2127.46, "word": "لو", "probability": 0.6649169921875}, {"start": 2127.46, "end": 2127.86, "word": " أخدت", "probability": 0.70794677734375}, {"start": 2127.86, "end": 2128.42, "word": " element", "probability": 0.8251953125}, {"start": 2128.42, "end": 2129.26, "word": " a", "probability": 0.61083984375}, {"start": 2129.26, "end": 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"word": " أضيفه", "probability": 0.957275390625}, {"start": 2137.3, "end": 2137.8, "word": " إليه", "probability": 0.64404296875}, {"start": 2137.8, "end": 2138.36, "word": " يطلع", "probability": 0.948486328125}, {"start": 2138.36, "end": 2138.94, "word": " من؟", "probability": 0.5169677734375}, {"start": 2138.94, "end": 2139.52, "word": " يطلع", "probability": 0.9317626953125}, {"start": 2139.52, "end": 2140.0, "word": " zero", "probability": 0.455810546875}, {"start": 2140.0, "end": 2141.48, "word": " سالم", "probability": 0.571044921875}, {"start": 2141.48, "end": 2142.1, "word": " العدد", "probability": 0.9391276041666666}, {"start": 2142.1, "end": 2143.74, "word": " يبقى", "probability": 0.808837890625}, {"start": 2143.74, "end": 2144.2, "word": " هنا", "probability": 0.98974609375}, {"start": 2144.2, "end": 2145.22, "word": " the", "probability": 0.4453125}, {"start": 2145.22, "end": 2147.5, "word": " inverse", "probability": 0.9326171875}, {"start": 2147.5, "end": 2149.38, "word": " of", "probability": 0.9814453125}], "temperature": 1.0}, {"id": 88, "seek": 217829, "start": 2150.19, "end": 2178.29, "text": "أي اللي موجود في الـ Z أو الـ Q and ال R is سالب A since لأن ال A زائد ناقص A يسوى ناقص A زائد A يسوى Zero لهمين ال identity element طيب نمر اتنين", "tokens": [10721, 1829, 13672, 1829, 3714, 29245, 23328, 8978, 2423, 39184, 1176, 34051, 2423, 39184, 1249, 293, 2423, 497, 307, 8608, 6027, 3555, 316, 1670, 5296, 33456, 2423, 316, 30767, 16373, 3215, 8717, 995, 4587, 9381, 316, 7251, 3794, 2407, 7578, 8717, 995, 4587, 9381, 316, 30767, 16373, 3215, 316, 7251, 3794, 2407, 7578, 17182, 5296, 16095, 9957, 2423, 6575, 4478, 23032, 1829, 3555, 8717, 29973, 1975, 2655, 1863, 9957], "avg_logprob": -0.2984375059604645, "compression_ratio": 1.4666666666666666, "no_speech_prob": 0.0, "words": [{"start": 2150.19, "end": 2150.73, "word": "أي", "probability": 0.22723388671875}, {"start": 2150.73, "end": 2151.45, "word": " اللي", "probability": 0.638427734375}, {"start": 2151.45, "end": 2151.97, "word": " موجود", "probability": 0.9827473958333334}, {"start": 2151.97, "end": 2152.21, "word": " في", "probability": 0.97119140625}, {"start": 2152.21, "end": 2152.45, "word": " الـ", "probability": 0.53216552734375}, {"start": 2152.45, "end": 2152.63, "word": " Z", "probability": 0.29736328125}, {"start": 2152.63, "end": 2153.61, "word": " أو", "probability": 0.7802734375}, {"start": 2153.61, "end": 2153.89, "word": " الـ", "probability": 0.79638671875}, {"start": 2153.89, "end": 2154.37, "word": " Q", "probability": 0.80712890625}, {"start": 2154.37, "end": 2156.01, "word": " and", "probability": 0.31005859375}, {"start": 2156.01, "end": 2156.43, "word": " ال", "probability": 0.7421875}, {"start": 2156.43, "end": 2157.03, "word": " R", "probability": 0.48193359375}, {"start": 2157.03, "end": 2158.15, "word": " is", "probability": 0.80517578125}, {"start": 2158.15, "end": 2159.45, "word": " سالب", "probability": 0.8068033854166666}, {"start": 2159.45, "end": 2160.01, "word": " A", "probability": 0.716796875}, {"start": 2160.01, "end": 2161.13, "word": " since", "probability": 0.334228515625}, {"start": 2161.13, "end": 2162.35, "word": " لأن", "probability": 0.77001953125}, {"start": 2162.35, "end": 2163.43, "word": " ال", "probability": 0.626953125}, {"start": 2163.43, "end": 2163.95, "word": " A", "probability": 0.71044921875}, {"start": 2163.95, "end": 2165.11, "word": " زائد", "probability": 0.7923177083333334}, {"start": 2165.11, "end": 2166.15, "word": " ناقص", "probability": 0.9698486328125}, {"start": 2166.15, "end": 2166.53, "word": " A", "probability": 0.9267578125}, {"start": 2166.53, "end": 2167.25, "word": " يسوى", "probability": 0.7313232421875}, {"start": 2167.25, "end": 2167.95, "word": " ناقص", "probability": 0.9844970703125}, {"start": 2167.95, "end": 2168.35, "word": " A", "probability": 0.96533203125}, {"start": 2168.35, "end": 2169.55, "word": " زائد", "probability": 0.9739583333333334}, {"start": 2169.55, "end": 2169.95, "word": " A", "probability": 0.96826171875}, {"start": 2169.95, "end": 2170.77, "word": " يسوى", "probability": 0.92578125}, {"start": 2170.77, "end": 2171.05, "word": " Zero", "probability": 0.5546875}, {"start": 2171.05, "end": 2171.79, "word": " لهمين", "probability": 0.722412109375}, {"start": 2171.79, "end": 2172.45, "word": " ال", "probability": 0.931640625}, {"start": 2172.45, "end": 2173.31, "word": " identity", "probability": 0.50146484375}, {"start": 2173.31, "end": 2174.33, "word": " element", "probability": 0.95654296875}, {"start": 2174.33, "end": 2177.49, "word": " طيب", "probability": 0.7748209635416666}, {"start": 2177.49, "end": 2177.85, "word": " نمر", "probability": 0.80322265625}, {"start": 2177.85, "end": 2178.29, "word": " اتنين", "probability": 0.89697265625}], "temperature": 1.0}, {"id": 89, "seek": 220781, "start": 2180.01, "end": 2207.81, "text": "روح ناخد مثال اخر لو أخدت الآن z و تحت عملية الضرب العادي z is not a group يبقى هذه ماهياش group under usual multiplication", "tokens": [32887, 5016, 8717, 47283, 3215, 50113, 6027, 1975, 34740, 45164, 5551, 9778, 3215, 2655, 6024, 48506, 710, 4032, 6055, 33753, 6225, 42213, 10632, 6024, 114, 25513, 18863, 995, 16254, 710, 307, 406, 257, 1594, 7251, 3555, 4587, 7578, 29538, 19446, 3224, 1829, 33599, 1594, 833, 7713, 27290], "avg_logprob": -0.19319661799818277, "compression_ratio": 1.2587412587412588, "no_speech_prob": 0.0, "words": [{"start": 2180.01, "end": 2180.51, "word": "روح", "probability": 0.6512451171875}, {"start": 2180.51, "end": 2180.89, "word": " ناخد", "probability": 0.9847005208333334}, {"start": 2180.89, "end": 2181.57, "word": " مثال", "probability": 0.9892578125}, {"start": 2181.57, "end": 2182.11, "word": " اخر", "probability": 0.785400390625}, {"start": 2182.11, "end": 2183.21, "word": " لو", "probability": 0.9306640625}, {"start": 2183.21, "end": 2183.77, "word": " أخدت", "probability": 0.88037109375}, {"start": 2183.77, "end": 2184.45, "word": " الآن", "probability": 0.689697265625}, {"start": 2184.45, "end": 2185.61, "word": " z", "probability": 0.59765625}, {"start": 2185.61, "end": 2186.43, "word": " و", "probability": 0.54541015625}, {"start": 2186.43, "end": 2186.91, "word": " تحت", "probability": 0.86767578125}, {"start": 2186.91, "end": 2187.65, "word": " عملية", "probability": 0.9874674479166666}, {"start": 2187.65, "end": 2188.27, "word": " الضرب", "probability": 0.8943684895833334}, {"start": 2188.27, "end": 2189.03, "word": " العادي", "probability": 0.813232421875}, {"start": 2189.03, "end": 2190.57, "word": " z", "probability": 0.54736328125}, {"start": 2190.57, "end": 2195.25, "word": " is", "probability": 0.90283203125}, {"start": 2195.25, "end": 2196.75, "word": " not", "probability": 0.96044921875}, {"start": 2196.75, "end": 2197.75, "word": " a", "probability": 0.91064453125}, {"start": 2197.75, "end": 2198.15, "word": " group", "probability": 0.974609375}, {"start": 2198.15, "end": 2200.07, "word": " يبقى", "probability": 0.8526611328125}, {"start": 2200.07, "end": 2200.35, "word": " هذه", "probability": 0.39501953125}, {"start": 2200.35, "end": 2201.11, "word": " ماهياش", "probability": 0.9349365234375}, {"start": 2201.11, "end": 2201.61, "word": " group", "probability": 0.9619140625}, {"start": 2201.61, "end": 2202.93, "word": " under", "probability": 0.86572265625}, {"start": 2202.93, "end": 2206.01, "word": " usual", "probability": 0.892578125}, {"start": 2206.01, "end": 2207.81, "word": " multiplication", "probability": 0.8818359375}], "temperature": 1.0}, {"id": 90, "seek": 223591, "start": 2210.89, "end": 2235.91, "text": "تحت عملية الضرب العادية ليش؟ because because if ال a موجود في z and ال a لا يسوى واحد وبحيث ال a لا يسوى واحد", "tokens": [2655, 33753, 6225, 42213, 10632, 6024, 114, 25513, 18863, 18513, 10632, 32239, 8592, 22807, 570, 570, 498, 2423, 257, 3714, 29245, 23328, 8978, 710, 293, 2423, 257, 20193, 7251, 3794, 2407, 7578, 36764, 24401, 46599, 5016, 1829, 12984, 2423, 257, 20193, 7251, 3794, 2407, 7578, 36764, 24401], "avg_logprob": -0.1946614533662796, "compression_ratio": 1.4491525423728813, "no_speech_prob": 0.0, "words": [{"start": 2210.89, "end": 2211.33, "word": "تحت", "probability": 0.8798828125}, {"start": 2211.33, "end": 2211.99, "word": " عملية", "probability": 0.9847005208333334}, {"start": 2211.99, "end": 2212.71, "word": " الضرب", "probability": 0.8430989583333334}, {"start": 2212.71, "end": 2214.41, "word": " العادية", "probability": 0.9866536458333334}, {"start": 2214.41, "end": 2216.99, "word": " ليش؟", "probability": 0.6020914713541666}, {"start": 2216.99, "end": 2217.67, "word": " because", "probability": 0.61083984375}, {"start": 2217.67, "end": 2220.83, "word": " because", "probability": 0.24609375}, {"start": 2220.83, "end": 2223.33, "word": " if", "probability": 0.90478515625}, {"start": 2223.33, "end": 2225.29, "word": " ال", "probability": 0.8798828125}, {"start": 2225.29, "end": 2225.63, "word": " a", "probability": 0.61474609375}, {"start": 2225.63, "end": 2226.35, "word": " موجود", "probability": 0.986328125}, {"start": 2226.35, "end": 2226.59, "word": " في", "probability": 0.98779296875}, {"start": 2226.59, "end": 2227.11, "word": " z", "probability": 0.634765625}, {"start": 2227.11, "end": 2228.21, "word": " and", "probability": 0.91015625}, {"start": 2228.21, "end": 2229.23, "word": " ال", "probability": 0.853515625}, {"start": 2229.23, "end": 2229.75, "word": " a", "probability": 0.96923828125}, {"start": 2229.75, "end": 2230.59, "word": " لا", "probability": 0.7578125}, {"start": 2230.59, "end": 2231.35, "word": " يسوى", "probability": 0.858642578125}, {"start": 2231.35, "end": 2231.75, "word": " واحد", "probability": 0.908447265625}, {"start": 2231.75, "end": 2233.97, "word": " وبحيث", "probability": 0.802734375}, {"start": 2233.97, "end": 2234.27, "word": " ال", "probability": 0.9697265625}, {"start": 2234.27, "end": 2234.73, "word": " a", "probability": 0.95849609375}, {"start": 2234.73, "end": 2235.11, "word": " لا", "probability": 0.9111328125}, {"start": 2235.11, "end": 2235.63, "word": " يسوى", "probability": 0.953369140625}, {"start": 2235.63, "end": 2235.91, "word": " واحد", "probability": 0.99462890625}], "temperature": 1.0}, {"id": 91, "seek": 225437, "start": 2237.49, "end": 2254.37, "text": "الان تحت عملية الضرب من ال identity element الواحد ممتاز جدا يبقى هذا واحد لان اي عدد اضربه في واحد بيطلع نفسي لوحده السؤال هو هل بقدر الاقي element اضربه في اي عدد يطلع واحد", "tokens": [6027, 7649, 6055, 33753, 6225, 42213, 10632, 6024, 114, 25513, 9154, 2423, 6575, 4478, 2423, 14407, 24401, 3714, 2304, 2655, 31377, 10874, 28259, 7251, 3555, 4587, 7578, 23758, 36764, 24401, 5296, 7649, 1975, 1829, 6225, 3215, 3215, 1975, 11242, 25513, 3224, 8978, 36764, 24401, 4724, 1829, 9566, 1211, 3615, 8717, 36178, 1829, 45164, 24401, 3224, 21136, 33604, 6027, 31439, 8032, 1211, 4724, 28543, 2288, 1975, 15040, 38436, 4478, 1975, 11242, 25513, 3224, 8978, 1975, 1829, 6225, 3215, 3215, 7251, 9566, 1211, 3615, 36764, 24401], "avg_logprob": -0.18988970307742847, "compression_ratio": 1.7380952380952381, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 2237.49, "end": 2237.85, "word": "الان", "probability": 0.488433837890625}, {"start": 2237.85, "end": 2238.23, "word": " تحت", "probability": 0.943359375}, {"start": 2238.23, "end": 2238.83, "word": " عملية", "probability": 0.98974609375}, {"start": 2238.83, "end": 2239.37, "word": " الضرب", "probability": 0.8119303385416666}, {"start": 2239.37, "end": 2239.75, "word": " من", "probability": 0.339111328125}, {"start": 2239.75, "end": 2239.91, "word": " ال", "probability": 0.9345703125}, {"start": 2239.91, "end": 2240.45, "word": " identity", "probability": 0.8134765625}, {"start": 2240.45, "end": 2241.11, "word": " element", "probability": 0.9482421875}, {"start": 2241.11, "end": 2242.25, "word": " الواحد", "probability": 0.8282877604166666}, {"start": 2242.25, "end": 2242.81, "word": " ممتاز", "probability": 0.8692626953125}, {"start": 2242.81, "end": 2243.17, "word": " جدا", "probability": 0.9912109375}, {"start": 2243.17, "end": 2243.93, "word": " يبقى", "probability": 0.940673828125}, {"start": 2243.93, "end": 2244.19, "word": " هذا", "probability": 0.90576171875}, {"start": 2244.19, "end": 2244.47, "word": " واحد", "probability": 0.92578125}, {"start": 2244.47, "end": 2244.75, "word": " لان", "probability": 0.6046142578125}, {"start": 2244.75, "end": 2245.21, "word": " اي", "probability": 0.85107421875}, {"start": 2245.21, "end": 2245.65, "word": " عدد", "probability": 0.9698893229166666}, {"start": 2245.65, "end": 2246.11, "word": " اضربه", "probability": 0.8594970703125}, {"start": 2246.11, "end": 2246.19, "word": " في", "probability": 0.9140625}, {"start": 2246.19, "end": 2246.43, "word": " واحد", "probability": 0.991455078125}, {"start": 2246.43, "end": 2246.87, "word": " بيطلع", "probability": 0.835107421875}, {"start": 2246.87, "end": 2247.37, "word": " نفسي", "probability": 0.8857421875}, {"start": 2247.37, "end": 2247.57, "word": " لوحده", "probability": 0.7123209635416666}, {"start": 2247.57, "end": 2247.97, "word": " السؤال", "probability": 0.98193359375}, {"start": 2247.97, "end": 2248.25, "word": " هو", "probability": 0.9482421875}, {"start": 2248.25, "end": 2249.37, "word": " هل", "probability": 0.982666015625}, {"start": 2249.37, "end": 2249.91, "word": " بقدر", "probability": 0.9651692708333334}, {"start": 2249.91, "end": 2250.55, "word": " الاقي", "probability": 0.5287272135416666}, {"start": 2250.55, "end": 2251.47, "word": " element", "probability": 0.97900390625}, {"start": 2251.47, "end": 2252.77, "word": " اضربه", "probability": 0.9718017578125}, {"start": 2252.77, "end": 2252.99, "word": " في", "probability": 0.95263671875}, {"start": 2252.99, "end": 2253.25, "word": " اي", "probability": 0.906494140625}, {"start": 2253.25, "end": 2253.55, "word": " عدد", "probability": 0.9964192708333334}, {"start": 2253.55, "end": 2253.91, "word": " يطلع", "probability": 0.9913330078125}, {"start": 2253.91, "end": 2254.37, "word": " واحد", "probability": 0.990478515625}], "temperature": 1.0}, {"id": 92, "seek": 228541, "start": 2257.27, "end": 2285.41, "text": "أنا بدي في Z أنا بحكي على Z فقط أنا مقيد بال 6 بتبعتي ال 6 الأخرى ماليش علاقة فيها و مقيد بال operation اللي عندي بقدر ألاقي في الشمكانية يبقى F ال A موجودة under ال A لا تساوي واحد then there is أو there exists no element B", "tokens": [10721, 8315, 4724, 16254, 8978, 1176, 41850, 4724, 5016, 4117, 1829, 15844, 1176, 6156, 47432, 41850, 3714, 4587, 25708, 20666, 1386, 39894, 3555, 3615, 31371, 2423, 1386, 16247, 34740, 7578, 19446, 20292, 8592, 11203, 995, 28671, 8978, 11296, 4032, 3714, 4587, 25708, 20666, 6916, 13672, 1829, 18871, 16254, 4724, 28543, 2288, 5551, 15040, 38436, 8978, 25124, 2304, 41361, 10632, 7251, 3555, 4587, 7578, 479, 2423, 316, 3714, 29245, 23328, 3660, 833, 2423, 316, 20193, 6055, 3794, 995, 45865, 36764, 24401, 550, 456, 307, 34051, 456, 8198, 572, 4478, 363], "avg_logprob": -0.3003472169240316, "compression_ratio": 1.6168224299065421, "no_speech_prob": 0.0, "words": [{"start": 2257.27, "end": 2257.59, "word": "أنا", "probability": 0.7088623046875}, {"start": 2257.59, "end": 2257.81, "word": " بدي", "probability": 0.54931640625}, {"start": 2257.81, "end": 2257.95, "word": " في", "probability": 0.79833984375}, {"start": 2257.95, "end": 2258.27, "word": " Z", "probability": 0.255859375}, {"start": 2258.27, "end": 2258.49, "word": " أنا", "probability": 0.5244140625}, {"start": 2258.49, "end": 2259.35, "word": " بحكي", "probability": 0.9151611328125}, {"start": 2259.35, "end": 2259.49, "word": " على", "probability": 0.63134765625}, {"start": 2259.49, "end": 2259.73, "word": " Z", "probability": 0.86376953125}, {"start": 2259.73, "end": 2260.37, "word": " فقط", "probability": 0.990966796875}, {"start": 2260.37, "end": 2260.87, "word": " أنا", "probability": 0.2216796875}, {"start": 2260.87, "end": 2263.01, "word": " مقيد", "probability": 0.8440755208333334}, {"start": 2263.01, "end": 2263.21, "word": " بال", "probability": 0.94921875}, {"start": 2263.21, "end": 2263.51, "word": " 6", "probability": 0.31591796875}, {"start": 2263.51, "end": 2264.15, "word": " بتبعتي", "probability": 0.7540283203125}, {"start": 2264.15, "end": 2264.83, "word": " ال", "probability": 0.71337890625}, {"start": 2264.83, "end": 2265.03, "word": " 6", "probability": 0.50927734375}, {"start": 2265.03, "end": 2265.41, "word": " الأخرى", "probability": 0.8782552083333334}, {"start": 2265.41, "end": 2265.63, "word": " ماليش", "probability": 0.7198079427083334}, {"start": 2265.63, "end": 2265.95, "word": " علاقة", "probability": 0.98193359375}, {"start": 2265.95, "end": 2266.33, "word": " فيها", "probability": 0.892578125}, {"start": 2266.33, "end": 2266.77, "word": " و", "probability": 0.91650390625}, {"start": 2266.77, "end": 2267.39, "word": " مقيد", "probability": 0.8346354166666666}, {"start": 2267.39, "end": 2267.59, "word": " بال", "probability": 0.9501953125}, {"start": 2267.59, "end": 2268.11, "word": " operation", "probability": 0.81591796875}, {"start": 2268.11, "end": 2268.41, "word": " اللي", "probability": 0.907470703125}, {"start": 2268.41, "end": 2268.83, "word": " عندي", "probability": 0.76806640625}, {"start": 2268.83, "end": 2269.57, "word": " بقدر", "probability": 0.9666341145833334}, {"start": 2269.57, "end": 2269.97, "word": " ألاقي", "probability": 0.8058268229166666}, {"start": 2269.97, "end": 2270.75, "word": " في", "probability": 0.541015625}, {"start": 2270.75, "end": 2271.57, "word": " الشمكانية", "probability": 0.92724609375}, {"start": 2271.57, "end": 2272.69, "word": " يبقى", "probability": 0.9759521484375}, {"start": 2272.69, "end": 2272.95, "word": " F", "probability": 0.6982421875}, {"start": 2272.95, "end": 2273.19, "word": " ال", "probability": 0.35205078125}, {"start": 2273.19, "end": 2273.41, "word": " A", "probability": 0.55078125}, {"start": 2273.41, "end": 2273.81, "word": " موجودة", "probability": 0.50518798828125}, {"start": 2273.81, "end": 2274.49, "word": " under", "probability": 0.39892578125}, {"start": 2274.49, "end": 2274.71, "word": " ال", "probability": 0.53955078125}, {"start": 2274.71, "end": 2274.91, "word": " A", "probability": 0.86962890625}, {"start": 2274.91, "end": 2275.05, "word": " لا", "probability": 0.300537109375}, {"start": 2275.05, "end": 2275.63, "word": " تساوي", "probability": 0.96533203125}, {"start": 2275.63, "end": 2276.25, "word": " واحد", "probability": 0.861083984375}, {"start": 2276.25, "end": 2277.27, "word": " then", "probability": 0.7138671875}, {"start": 2277.27, "end": 2278.67, "word": " there", "probability": 0.86181640625}, {"start": 2278.67, "end": 2279.15, "word": " is", "probability": 0.7802734375}, {"start": 2279.15, "end": 2279.63, "word": " أو", "probability": 0.69970703125}, {"start": 2279.63, "end": 2280.01, "word": " there", "probability": 0.82080078125}, {"start": 2280.01, "end": 2280.99, "word": " exists", "probability": 0.7431640625}, {"start": 2280.99, "end": 2282.05, "word": " no", "probability": 0.94091796875}, {"start": 2282.05, "end": 2283.57, "word": " element", "probability": 0.9638671875}, {"start": 2283.57, "end": 2285.41, "word": " B", "probability": 0.66650390625}], "temperature": 1.0}, {"id": 93, "seek": 231515, "start": 2286.09, "end": 2315.15, "text": "ن اللي هو z such that بحيث ان ال a في b بده يساوي الواحد الصحيح يعني for example if ال a تساوي تلتة بقدر الاقي عدد بي اضروف تلتة يطلع واحد بس بحيث العدد فيه z", "tokens": [1863, 13672, 1829, 31439, 710, 1270, 300, 4724, 5016, 1829, 12984, 16472, 2423, 257, 8978, 272, 47525, 3224, 7251, 3794, 995, 45865, 2423, 14407, 24401, 31767, 5016, 1829, 5016, 37495, 22653, 337, 1365, 498, 2423, 257, 6055, 3794, 995, 45865, 6055, 1211, 2655, 3660, 4724, 28543, 2288, 1975, 15040, 38436, 6225, 3215, 3215, 4724, 1829, 1975, 11242, 32887, 5172, 6055, 1211, 2655, 3660, 7251, 9566, 1211, 3615, 36764, 24401, 4724, 3794, 4724, 5016, 1829, 12984, 18863, 3215, 3215, 8978, 3224, 710], "avg_logprob": -0.23132622514556095, "compression_ratio": 1.5644171779141105, "no_speech_prob": 0.0, "words": [{"start": 2286.09, "end": 2286.63, "word": "ن", "probability": 0.325439453125}, {"start": 2286.63, "end": 2287.41, "word": " اللي", "probability": 0.53607177734375}, {"start": 2287.41, "end": 2287.71, "word": " هو", "probability": 0.9794921875}, {"start": 2287.71, "end": 2288.33, "word": " z", "probability": 0.26220703125}, {"start": 2288.33, "end": 2289.43, "word": " such", "probability": 0.67919921875}, {"start": 2289.43, "end": 2292.61, "word": " that", "probability": 0.94921875}, {"start": 2292.61, "end": 2294.67, "word": " بحيث", "probability": 0.9027099609375}, {"start": 2294.67, "end": 2295.11, "word": " ان", "probability": 0.53369140625}, {"start": 2295.11, "end": 2296.09, "word": " ال", "probability": 0.8427734375}, {"start": 2296.09, "end": 2296.57, "word": " a", "probability": 0.72998046875}, {"start": 2296.57, "end": 2297.13, "word": " في", "probability": 0.830078125}, {"start": 2297.13, "end": 2297.57, "word": " b", "probability": 0.81689453125}, {"start": 2297.57, "end": 2298.21, "word": " بده", "probability": 0.31158447265625}, {"start": 2298.21, "end": 2298.53, "word": " يساوي", "probability": 0.8310546875}, {"start": 2298.53, "end": 2298.87, "word": " الواحد", "probability": 0.8699544270833334}, {"start": 2298.87, "end": 2299.47, "word": " الصحيح", "probability": 0.9066162109375}, {"start": 2299.47, "end": 2300.81, "word": " يعني", "probability": 0.85546875}, {"start": 2300.81, "end": 2301.17, "word": " for", "probability": 0.91015625}, {"start": 2301.17, "end": 2302.19, "word": " example", "probability": 0.978515625}, {"start": 2302.19, "end": 2305.83, "word": " if", "probability": 0.70703125}, {"start": 2305.83, "end": 2307.55, "word": " ال", "probability": 0.9296875}, {"start": 2307.55, "end": 2307.83, "word": " a", "probability": 0.953125}, {"start": 2307.83, "end": 2308.55, "word": " تساوي", "probability": 0.9525146484375}, {"start": 2308.55, "end": 2309.43, "word": " تلتة", "probability": 0.8363037109375}, {"start": 2309.43, "end": 2310.87, "word": " بقدر", "probability": 0.9680989583333334}, {"start": 2310.87, "end": 2311.29, "word": " الاقي", "probability": 0.755859375}, {"start": 2311.29, "end": 2311.79, "word": " عدد", "probability": 0.9763997395833334}, {"start": 2311.79, "end": 2312.09, "word": " بي", "probability": 0.76025390625}, {"start": 2312.09, "end": 2312.55, "word": " اضروف", "probability": 0.7921142578125}, {"start": 2312.55, "end": 2312.91, "word": " تلتة", "probability": 0.9803466796875}, {"start": 2312.91, "end": 2313.19, "word": " يطلع", "probability": 0.9891357421875}, {"start": 2313.19, "end": 2313.57, "word": " واحد", "probability": 0.984619140625}, {"start": 2313.57, "end": 2313.93, "word": " بس", "probability": 0.94873046875}, {"start": 2313.93, "end": 2314.21, "word": " بحيث", "probability": 0.57989501953125}, {"start": 2314.21, "end": 2314.67, "word": " العدد", "probability": 0.9484049479166666}, {"start": 2314.67, "end": 2314.95, "word": " فيه", "probability": 0.81396484375}, {"start": 2314.95, "end": 2315.15, "word": " z", "probability": 0.74853515625}], "temperature": 1.0}, {"id": 94, "seek": 234437, "start": 2315.77, "end": 2344.37, "text": "فالـ a تسوى تلاتة then there is no integer بي such that بحيث ان تلاتة بيبدوا يساوي واحد مالاجيش هذا العدد بتاتا يبقى هذه زد تحت عملية ضرب مالها", "tokens": [5172, 6027, 39184, 257, 6055, 3794, 2407, 7578, 6055, 1211, 9307, 3660, 550, 456, 307, 572, 24922, 4724, 1829, 1270, 300, 4724, 5016, 1829, 12984, 16472, 6055, 1211, 9307, 3660, 4724, 1829, 44510, 14407, 7251, 3794, 995, 45865, 36764, 24401, 3714, 6027, 26108, 1829, 8592, 23758, 18863, 3215, 3215, 39894, 9307, 995, 7251, 3555, 4587, 7578, 29538, 30767, 3215, 6055, 33753, 6225, 42213, 10632, 48812, 25513, 3714, 6027, 11296], "avg_logprob": -0.315625005534717, "compression_ratio": 1.4223602484472049, "no_speech_prob": 0.0, "words": [{"start": 2315.77, "end": 2317.03, "word": "فالـ", "probability": 0.21952311197916666}, {"start": 2317.03, "end": 2317.23, "word": " a", "probability": 0.44677734375}, {"start": 2317.23, "end": 2317.73, "word": " تسوى", "probability": 0.58221435546875}, {"start": 2317.73, "end": 2318.43, "word": " تلاتة", "probability": 0.9158935546875}, {"start": 2318.43, "end": 2319.39, "word": " then", "probability": 0.2646484375}, {"start": 2319.39, "end": 2320.61, "word": " there", "probability": 0.86572265625}, {"start": 2320.61, "end": 2321.23, "word": " is", "probability": 0.9521484375}, {"start": 2321.23, "end": 2322.83, "word": " no", "probability": 0.71533203125}, {"start": 2322.83, "end": 2325.91, "word": " integer", "probability": 0.485595703125}, {"start": 2325.91, "end": 2328.11, "word": " بي", "probability": 0.771728515625}, {"start": 2328.11, "end": 2330.27, "word": " such", "probability": 0.2125244140625}, {"start": 2330.27, "end": 2331.59, "word": " that", "probability": 0.9130859375}, {"start": 2331.59, "end": 2333.19, "word": " بحيث", "probability": 0.9595947265625}, {"start": 2333.19, "end": 2333.61, "word": " ان", "probability": 0.54541015625}, {"start": 2333.61, "end": 2334.83, "word": " تلاتة", "probability": 0.9073486328125}, {"start": 2334.83, "end": 2335.29, "word": " بيبدوا", "probability": 0.7449951171875}, {"start": 2335.29, "end": 2335.63, "word": " يساوي", "probability": 0.7498779296875}, {"start": 2335.63, "end": 2335.95, "word": " واحد", "probability": 0.959716796875}, {"start": 2335.95, "end": 2336.65, "word": " مالاجيش", "probability": 0.74609375}, {"start": 2336.65, "end": 2337.07, "word": " هذا", "probability": 0.80224609375}, {"start": 2337.07, "end": 2337.63, "word": " العدد", "probability": 0.9459635416666666}, {"start": 2337.63, "end": 2338.59, "word": " بتاتا", "probability": 0.7937825520833334}, {"start": 2338.59, "end": 2339.95, "word": " يبقى", "probability": 0.9456787109375}, {"start": 2339.95, "end": 2340.45, "word": " هذه", "probability": 0.454833984375}, {"start": 2340.45, "end": 2341.45, "word": " زد", "probability": 0.67626953125}, {"start": 2341.45, "end": 2341.83, "word": " تحت", "probability": 0.98486328125}, {"start": 2341.83, "end": 2342.53, "word": " عملية", "probability": 0.9842122395833334}, {"start": 2342.53, "end": 2343.25, "word": " ضرب", "probability": 0.85107421875}, {"start": 2343.25, "end": 2344.37, "word": " مالها", "probability": 0.775634765625}], "temperature": 1.0}, {"id": 95, "seek": 236541, "start": 2344.91, "end": 2365.41, "text": "طيب خليني أسأل كمان سؤال لو قلتلك ال set of real numbers كويس؟ بس أصبر شوية ال set of real numbers تحت عملية الضرب هل هي group؟ ليش؟", "tokens": [9566, 1829, 3555, 16490, 1211, 9957, 1829, 5551, 3794, 10721, 1211, 9122, 2304, 7649, 8608, 33604, 6027, 45164, 12174, 1211, 2655, 23275, 2423, 992, 295, 957, 3547, 9122, 45865, 3794, 22807, 4724, 3794, 5551, 9381, 26890, 13412, 2407, 10632, 2423, 992, 295, 957, 3547, 6055, 33753, 6225, 42213, 10632, 6024, 114, 25513, 8032, 1211, 39896, 1594, 22807, 32239, 8592, 22807], "avg_logprob": -0.212858612420129, "compression_ratio": 1.3986013986013985, "no_speech_prob": 1.0132789611816406e-06, "words": [{"start": 2344.91, "end": 2346.71, "word": "طيب", "probability": 0.6529947916666666}, {"start": 2346.71, "end": 2347.15, "word": " خليني", "probability": 0.866943359375}, {"start": 2347.15, "end": 2347.53, "word": " أسأل", "probability": 0.85205078125}, {"start": 2347.53, "end": 2348.21, "word": " كمان", "probability": 0.8693033854166666}, {"start": 2348.21, "end": 2348.97, "word": " سؤال", "probability": 0.99609375}, {"start": 2348.97, "end": 2349.67, "word": " لو", "probability": 0.76025390625}, {"start": 2349.67, "end": 2350.19, "word": " قلتلك", "probability": 0.7607421875}, {"start": 2350.19, "end": 2350.45, "word": " ال", "probability": 0.58984375}, {"start": 2350.45, "end": 2350.77, "word": " set", "probability": 0.93798828125}, {"start": 2350.77, "end": 2351.27, "word": " of", "probability": 0.97314453125}, {"start": 2351.27, "end": 2351.67, "word": " real", "probability": 0.9736328125}, {"start": 2351.67, "end": 2352.73, "word": " numbers", "probability": 0.8505859375}, {"start": 2352.73, "end": 2353.93, "word": " كويس؟", "probability": 0.545654296875}, {"start": 2353.93, "end": 2354.13, "word": " بس", "probability": 0.967529296875}, {"start": 2354.13, "end": 2354.43, "word": " أصبر", "probability": 0.8229166666666666}, {"start": 2354.43, "end": 2354.99, "word": " شوية", "probability": 0.9222005208333334}, {"start": 2354.99, "end": 2355.91, "word": " ال", "probability": 0.80810546875}, {"start": 2355.91, "end": 2356.21, "word": " set", "probability": 0.87060546875}, {"start": 2356.21, "end": 2356.45, "word": " of", "probability": 0.98291015625}, {"start": 2356.45, "end": 2356.77, "word": " real", "probability": 0.96826171875}, {"start": 2356.77, "end": 2357.53, "word": " numbers", "probability": 0.89404296875}, {"start": 2357.53, "end": 2358.33, "word": " تحت", "probability": 0.994384765625}, {"start": 2358.33, "end": 2359.33, "word": " عملية", "probability": 0.9837239583333334}, {"start": 2359.33, "end": 2360.29, "word": " الضرب", "probability": 0.8961588541666666}, {"start": 2360.29, "end": 2361.25, "word": " هل", "probability": 0.758056640625}, {"start": 2361.25, "end": 2361.47, "word": " هي", "probability": 0.90673828125}, {"start": 2361.47, "end": 2362.71, "word": " group؟", "probability": 0.931640625}, {"start": 2362.71, "end": 2365.41, "word": " ليش؟", "probability": 0.857421875}], "temperature": 1.0}, {"id": 96, "seek": 239541, "start": 2365.55, "end": 2395.41, "text": "بالنسبة للصفر بلا جيش و لا inverse ليش ان ال identity قلت هو مين بلا جيش ولا عدد اضربه في الصفر يطلع واحد صحيح يدي ليست جروب و هكذا اذا احنا ال set مقيدين بال set بشكل الاعداد اللى موجودة فيها مقيد بال identity اللى عندى فيها مقيد بال binary operational اللى موجودة عندى حققت الشروط بقول جروب ما حققت بقوله ماهياش جروب", "tokens": [3555, 6027, 1863, 35457, 3660, 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"probability": 0.923828125}, {"start": 2388.09, "end": 2388.35, "word": " بال", "probability": 0.97119140625}, {"start": 2388.35, "end": 2388.75, "word": " binary", "probability": 0.85302734375}, {"start": 2388.75, "end": 2389.39, "word": " operational", "probability": 0.853515625}, {"start": 2389.39, "end": 2389.57, "word": " اللى", "probability": 0.98828125}, {"start": 2389.57, "end": 2390.13, "word": " موجودة", "probability": 0.9776611328125}, {"start": 2390.13, "end": 2390.47, "word": " عندى", "probability": 0.917724609375}, {"start": 2390.47, "end": 2390.99, "word": " حققت", "probability": 0.8987630208333334}, {"start": 2390.99, "end": 2391.37, "word": " الشروط", "probability": 0.6857096354166666}, {"start": 2391.37, "end": 2391.71, "word": " بقول", "probability": 0.952880859375}, {"start": 2391.71, "end": 2392.15, "word": " جروب", "probability": 0.7757161458333334}, {"start": 2392.15, "end": 2392.75, "word": " ما", "probability": 0.8515625}, {"start": 2392.75, "end": 2393.33, "word": " حققت", "probability": 0.8250325520833334}, {"start": 2393.33, "end": 2393.89, "word": " بقوله", "probability": 0.8958333333333334}, {"start": 2393.89, "end": 2394.77, "word": " ماهياش", "probability": 0.8643798828125}, {"start": 2394.77, "end": 2395.41, "word": " جروب", "probability": 0.8831380208333334}], "temperature": 1.0}, {"id": 97, "seek": 241955, "start": 2395.69, "end": 2419.55, "text": "طيب لو جيت قولش لك تلاتة let الاي تساوي الجدر التربيعي للسالب واحد define define usual multiplication multiplication on", "tokens": [9566, 1829, 3555, 45164, 10874, 36081, 12174, 12610, 8592, 5296, 4117, 6055, 1211, 9307, 3660, 718, 42963, 1829, 6055, 3794, 995, 45865, 25724, 3215, 2288, 16712, 2288, 21292, 3615, 1829, 24976, 3794, 6027, 3555, 36764, 24401, 6964, 6964, 7713, 27290, 27290, 322], "avg_logprob": -0.25018167772958444, "compression_ratio": 1.328125, "no_speech_prob": 0.0, "words": [{"start": 2395.69, "end": 2396.17, "word": "طيب", "probability": 0.86865234375}, {"start": 2396.17, "end": 2396.53, "word": " لو", "probability": 0.7578125}, {"start": 2396.53, "end": 2396.87, "word": " جيت", "probability": 0.75390625}, {"start": 2396.87, "end": 2397.25, "word": " قولش", "probability": 0.7412109375}, {"start": 2397.25, "end": 2397.55, "word": " لك", "probability": 0.865478515625}, {"start": 2397.55, "end": 2398.83, "word": " تلاتة", "probability": 0.9505615234375}, {"start": 2398.83, "end": 2399.97, "word": " let", "probability": 0.65087890625}, {"start": 2399.97, "end": 2401.27, "word": " الاي", "probability": 0.3934326171875}, {"start": 2401.27, "end": 2401.91, "word": " تساوي", "probability": 0.8343505859375}, {"start": 2401.91, "end": 2402.45, "word": " الجدر", "probability": 0.9462890625}, {"start": 2402.45, "end": 2403.13, "word": " التربيعي", "probability": 0.77626953125}, {"start": 2403.13, "end": 2403.79, "word": " للسالب", "probability": 0.790283203125}, {"start": 2403.79, "end": 2404.27, "word": " واحد", "probability": 0.98193359375}, {"start": 2404.27, "end": 2406.49, "word": " define", "probability": 0.89306640625}, {"start": 2406.49, "end": 2410.09, "word": " define", "probability": 0.2646484375}, {"start": 2410.09, "end": 2412.01, "word": " usual", "probability": 0.9326171875}, {"start": 2412.01, "end": 2414.53, "word": " multiplication", "probability": 0.8779296875}, {"start": 2414.53, "end": 2417.61, "word": " multiplication", "probability": 0.83154296875}, {"start": 2417.61, "end": 2419.55, "word": " on", "probability": 0.94970703125}], "temperature": 1.0}, {"id": 98, "seek": 244469, "start": 2438.18, "end": 2444.7, "text": "عرفت حصل الضرب على set of complex numbers", "tokens": [3615, 28480, 2655, 11331, 36520, 6024, 114, 25513, 15844, 992, 295, 3997, 3547], "avg_logprob": -0.38058036991528105, "compression_ratio": 0.835820895522388, "no_speech_prob": 0.0, "words": [{"start": 2438.18, "end": 2439.58, "word": "عرفت", "probability": 0.5394694010416666}, {"start": 2439.58, "end": 2440.08, "word": " حصل", "probability": 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اي", "probability": 0.970703125}, {"start": 2448.31, "end": 2448.87, "word": " ناقص", "probability": 0.81939697265625}, {"start": 2448.87, "end": 2449.27, "word": " اي", "probability": 0.943603515625}, {"start": 2449.27, "end": 2449.97, "word": " حيث", "probability": 0.9182942708333334}, {"start": 2449.97, "end": 2450.19, "word": " اي", "probability": 0.857177734375}, {"start": 2450.19, "end": 2450.37, "word": " هو", "probability": 0.91650390625}, {"start": 2450.37, "end": 2450.81, "word": " الجدر", "probability": 0.8821614583333334}, {"start": 2450.81, "end": 2451.33, "word": " التربية", "probability": 0.6765950520833334}, {"start": 2451.33, "end": 2451.91, "word": " للسالب", "probability": 0.7772216796875}, {"start": 2451.91, "end": 2452.25, "word": " واحد", "probability": 0.98486328125}, {"start": 2452.25, "end": 2452.85, "word": " يبقى", "probability": 0.676025390625}, {"start": 2452.85, "end": 2453.07, "word": " دول", "probability": 0.87109375}, {"start": 2453.07, "end": 2453.67, "word": " complex", "probability": 0.59228515625}, {"start": 2453.67, "end": 2453.97, "word": " ولا", "probability": 0.96923828125}, {"start": 2453.97, "end": 2454.31, "word": " لا", "probability": 0.859375}, {"start": 2454.31, "end": 2455.91, "word": " وعليهم", "probability": 0.74456787109375}, {"start": 2455.91, "end": 2456.55, "word": " عملية", "probability": 0.9871419270833334}, {"start": 2456.55, "end": 2457.05, "word": " ضرب", "probability": 0.802734375}, {"start": 2457.05, "end": 2457.77, "word": " العادية", "probability": 0.953125}, {"start": 2457.77, "end": 2458.13, "word": " تبع", "probability": 0.8014322916666666}, {"start": 2458.13, "end": 2458.31, "word": " ال", "probability": 0.81787109375}, {"start": 2458.31, "end": 2458.77, "word": " complex", "probability": 0.8994140625}, {"start": 2458.77, "end": 2459.15, "word": " number", "probability": 0.87890625}, {"start": 2459.15, "end": 2459.59, "word": " السؤال", "probability": 0.912109375}, {"start": 2459.59, "end": 2459.91, "word": " هو", "probability": 0.955078125}, {"start": 2459.91, "end": 2460.91, "word": " هل", "probability": 0.9560546875}, {"start": 2460.91, "end": 2461.43, "word": " هذه", "probability": 0.7001953125}, {"start": 2461.43, "end": 2461.89, "word": " group", "probability": 0.857421875}, {"start": 2461.89, "end": 2462.25, "word": " ولا", "probability": 0.95849609375}, {"start": 2462.25, "end": 2462.65, "word": " لا", "probability": 0.89990234375}, {"start": 2462.65, "end": 2463.35, "word": " في", "probability": 0.6611328125}, {"start": 2463.35, "end": 2463.89, "word": " الأول", "probability": 0.91943359375}, {"start": 2463.89, "end": 2464.63, "word": " بدي", "probability": 0.526123046875}, {"start": 2464.63, "end": 2465.01, "word": " أشوف", "probability": 0.8185221354166666}, {"start": 2465.01, "end": 2465.33, "word": " هل", "probability": 0.975830078125}, {"start": 2465.33, "end": 2465.47, "word": " ال", "probability": 0.541015625}, {"start": 2465.47, "end": 2466.23, "word": " multiplication", "probability": 0.90576171875}, {"start": 2466.23, "end": 2467.13, "word": " هذه", "probability": 0.59716796875}], "temperature": 1.0}, {"id": 100, "seek": 247548, "start": 2468.93, "end": 2475.49, "text": "لو ضرب اي عددين في بعض من دول بيبقى complex و لا بيبطل يصير complex", "tokens": [1211, 2407, 48812, 25513, 1975, 1829, 6225, 3215, 3215, 9957, 8978, 45030, 11242, 9154, 11778, 12610, 4724, 1829, 3555, 4587, 7578, 3997, 4032, 20193, 4724, 1829, 3555, 9566, 1211, 7251, 9381, 13546, 3997], "avg_logprob": -0.38373161326436434, "compression_ratio": 1.1910112359550562, "no_speech_prob": 0.0, "words": [{"start": 2468.93, "end": 2469.81, "word": "لو", "probability": 0.5220947265625}, {"start": 2469.81, "end": 2470.45, "word": " ضرب", "probability": 0.78466796875}, {"start": 2470.45, "end": 2471.39, "word": " اي", "probability": 0.6929931640625}, {"start": 2471.39, "end": 2472.05, "word": " عددين", "probability": 0.8671875}, {"start": 2472.05, "end": 2472.25, "word": " في", "probability": 0.79638671875}, {"start": 2472.25, "end": 2472.65, "word": " بعض", "probability": 0.96337890625}, {"start": 2472.65, "end": 2472.79, "word": " من", "probability": 0.654296875}, {"start": 2472.79, "end": 2472.99, "word": " دول", "probability": 0.49737548828125}, {"start": 2472.99, "end": 2473.43, "word": " بيبقى", "probability": 0.78505859375}, {"start": 2473.43, "end": 2473.99, "word": " complex", "probability": 0.2509765625}, {"start": 2473.99, "end": 2474.15, "word": " و", "probability": 0.293701171875}, {"start": 2474.15, "end": 2474.25, "word": " لا", "probability": 0.89892578125}, {"start": 2474.25, "end": 2474.71, "word": " بيبطل", "probability": 0.819140625}, {"start": 2474.71, "end": 2475.01, "word": " يصير", "probability": 0.9357096354166666}, {"start": 2475.01, "end": 2475.49, "word": " complex", "probability": 0.8447265625}], "temperature": 1.0}, {"id": 101, "seek": 250561, "start": 2476.59, "end": 2505.61, "text": "any real number is complex هذا complex وهذا complex وهذا complex وهذا complex وهذا complex يبقى العملية هذه طيب لو ضربت ال I في ناقص I أليست مثل ناقص I في I لأن العملية إبدالية هذا ناقص واحد في I زي I في ناقص واحد سياد يبقى هذه اللي هي عبارة عن associative binary operation يبقى let then", "tokens": [1325, 957, 1230, 307, 3997, 23758, 3997, 37037, 15730, 3997, 37037, 15730, 3997, 37037, 15730, 3997, 37037, 15730, 3997, 7251, 3555, 4587, 7578, 18863, 42213, 10632, 29538, 23032, 1829, 3555, 45164, 48812, 25513, 2655, 2423, 286, 8978, 8717, 995, 4587, 9381, 286, 5551, 20292, 14851, 50113, 1211, 8717, 995, 4587, 9381, 286, 8978, 286, 5296, 33456, 18863, 42213, 10632, 11933, 44510, 6027, 10632, 23758, 8717, 995, 4587, 9381, 36764, 24401, 8978, 286, 30767, 1829, 286, 8978, 8717, 995, 4587, 9381, 36764, 24401, 8608, 1829, 18513, 7251, 3555, 4587, 7578, 29538, 13672, 1829, 39896, 6225, 3555, 9640, 3660, 18871, 4180, 1166, 17434, 6916, 7251, 3555, 4587, 7578, 718, 550], "avg_logprob": -0.18793005243353889, "compression_ratio": 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الان هي نقطة عملية عملية عملية عملية عملية عملية عملية عملية", "tokens": [6027, 1863, 47432, 3660, 2423, 7649, 39896, 8717, 47432, 3660, 6225, 42213, 10632, 6225, 42213, 10632, 6225, 42213, 10632, 6225, 42213, 10632, 6225, 42213, 10632, 6225, 42213, 10632, 6225, 42213, 10632, 6225, 42213, 10632], "avg_logprob": -0.6687499863760812, "compression_ratio": 2.7954545454545454, "no_speech_prob": 0.0, "words": [{"start": 2512.02, "end": 2513.42, "word": "النقطة", "probability": 0.684234619140625}, {"start": 2513.42, "end": 2513.74, "word": " الان", "probability": 0.27099609375}, {"start": 2513.74, "end": 2515.02, "word": " هي", "probability": 0.54541015625}, {"start": 2515.02, "end": 2518.38, "word": " نقطة", "probability": 0.6337076822916666}, {"start": 2518.38, "end": 2519.54, "word": " عملية", "probability": 0.46368408203125}, {"start": 2519.54, "end": 2519.54, "word": " عملية", "probability": 0.5530598958333334}, {"start": 2519.54, "end": 2519.54, "word": " عملية", "probability": 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"temperature": 1.0}, {"id": 104, "seek": 257273, "start": 2544.48, "end": 2572.74, "text": "يبقى الواحد هو عنصر الواحد اللي دي لو ضربته في أي واحد من هدول بيطلع نفس الواحد هدول طيب السؤال مين معكوس السلب واحد السلب واحد itself يبقى السلب واحد is the inverse of itself يبقى هو معكوس لنفسي هنا سلب واحد is the inverse of itself", "tokens": [1829, 3555, 4587, 7578, 2423, 14407, 24401, 31439, 18871, 9381, 2288, 2423, 14407, 24401, 13672, 1829, 11778, 1829, 45164, 48812, 25513, 47395, 8978, 36632, 36764, 24401, 9154, 8032, 3215, 12610, 4724, 1829, 9566, 1211, 3615, 8717, 36178, 2423, 14407, 24401, 8032, 3215, 12610, 23032, 1829, 3555, 21136, 33604, 6027, 3714, 9957, 20449, 4117, 41779, 21136, 46152, 36764, 24401, 21136, 46152, 36764, 24401, 2564, 7251, 3555, 4587, 7578, 21136, 46152, 36764, 24401, 307, 264, 17340, 295, 2564, 7251, 3555, 4587, 7578, 31439, 20449, 4117, 41779, 5296, 1863, 36178, 1829, 34105, 8608, 46152, 36764, 24401, 307, 264, 17340, 295, 2564], "avg_logprob": 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"سؤال مرة تانية السؤال يعتبر سؤالين", "tokens": [3794, 33604, 6027, 3714, 25720, 6055, 7649, 10632, 21136, 33604, 6027, 7251, 34268, 26890, 8608, 33604, 6027, 9957], "avg_logprob": -0.13240131892656026, "compression_ratio": 1.1454545454545455, "no_speech_prob": 0.0, "words": [{"start": 2775.38, "end": 2775.86, "word": "سؤال", "probability": 0.9158528645833334}, {"start": 2775.86, "end": 2776.14, "word": " مرة", "probability": 0.89404296875}, {"start": 2776.14, "end": 2776.76, "word": " تانية", "probability": 0.9733072916666666}, {"start": 2776.76, "end": 2778.14, "word": " السؤال", "probability": 0.8226725260416666}, {"start": 2778.14, "end": 2778.54, "word": " يعتبر", "probability": 0.83056640625}, {"start": 2778.54, "end": 2779.12, "word": " سؤالين", "probability": 0.8912353515625}], "temperature": 1.0}, {"id": 112, "seek": 280877, "start": 2779.95, "end": 2808.77, "text": "عندما أعطيني أربعة أعداد واحد اتنين تلاتة عرفنا عليهم عملية ضرب module خمسة عملية ضرب بالمقياس خمسة قال لي أثبت 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2977.04, "text": "is associative بدّك تشكل بساطرة هذا مافي مشكلة احنا ال I هو ال identity الواحد يبقى هذا سهل لكن ضالي عند مين الاتنين والتلاتة والاربعة يبقى بقدر أخدهم مع بعض او يبقى خلصت ال group كله مظبوط يعني for example", "tokens": [271, 4180, 1166, 47525, 11703, 4117, 6055, 8592, 28820, 4724, 3794, 41193, 25720, 23758, 19446, 41185, 37893, 28820, 3660, 1975, 5016, 8315, 2423, 286, 31439, 2423, 6575, 2423, 14407, 24401, 7251, 3555, 4587, 7578, 23758, 8608, 3224, 1211, 44381, 48812, 6027, 1829, 43242, 3714, 9957, 2423, 9307, 1863, 9957, 16070, 2655, 1211, 9307, 3660, 16070, 9640, 3555, 27884, 7251, 3555, 4587, 7578, 4724, 28543, 2288, 5551, 9778, 3215, 16095, 20449, 45030, 11242, 1975, 2407, 7251, 3555, 4587, 7578, 16490, 1211, 9381, 2655, 2423, 1594, 28242, 3224, 3714, 19913, 3555, 2407, 9566, 37495, 22653, 337, 1365], "avg_logprob": -0.29166665704300004, "compression_ratio": 1.5203619909502262, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2955.2199999999993, 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{"start": 2989.36, "end": 2989.9, "word": " هذا", "probability": 0.763671875}, {"start": 2989.9, "end": 2990.5, "word": " اتنين", "probability": 0.946533203125}, {"start": 2990.5, "end": 2990.68, "word": " في", "probability": 0.806640625}, {"start": 2990.68, "end": 2991.48, "word": " تلاتة", "probability": 0.98193359375}, {"start": 2991.48, "end": 2993.0, "word": " بستة", "probability": 0.7766927083333334}, {"start": 2993.0, "end": 2993.62, "word": " موديولو", "probability": 0.766015625}, {"start": 2993.62, "end": 2994.26, "word": " خمسة", "probability": 0.9556884765625}, {"start": 2994.26, "end": 2994.68, "word": " صح", "probability": 0.86083984375}, {"start": 2994.68, "end": 2994.88, "word": " ولا", "probability": 0.9423828125}, {"start": 2994.88, "end": 2995.58, "word": " لأ؟", "probability": 0.81298828125}, {"start": 2995.58, "end": 2996.04, "word": " يبقى", "probability": 0.95458984375}, {"start": 2996.04, "end": 2996.82, "word": " ستة", "probability": 0.9309895833333334}, 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اتنين star تلاتة star أربعة ويساوي تلاتة في أربعة", "tokens": [10721, 25513, 27884, 3714, 3215, 7251, 12610, 2407, 16490, 2304, 3794, 3660, 7251, 3555, 4587, 7578, 23758, 47525, 3224, 7251, 3794, 995, 45865, 5551, 25513, 27884, 293, 45164, 5551, 9778, 3215, 2655, 1975, 2655, 1863, 9957, 3543, 6055, 1211, 9307, 3660, 3543, 5551, 25513, 27884, 4032, 1829, 3794, 995, 45865, 6055, 1211, 9307, 3660, 8978, 5551, 25513, 27884], "avg_logprob": -0.3199152683807632, "compression_ratio": 1.5701754385964912, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 3005.92, "end": 3007.32, "word": "أربعة", "probability": 0.59716796875}, {"start": 3007.32, "end": 3007.78, "word": " مد", "probability": 0.2791748046875}, {"start": 3007.78, "end": 3008.24, "word": " يولو", "probability": 0.5911458333333334}, {"start": 3008.24, "end": 3009.26, "word": " خمسة", "probability": 0.9256591796875}, {"start": 3009.26, "end": 3010.02, "word": " يبقى", "probability": 0.77947998046875}, {"start": 3010.02, 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0.70654296875}, {"start": 3070.83, "end": 3071.39, "word": " واحد", "probability": 0.994140625}, {"start": 3071.39, "end": 3072.23, "word": " فيهم", "probability": 0.9697265625}, {"start": 3072.23, "end": 3073.85, "word": " يالا", "probability": 0.6089680989583334}, {"start": 3073.85, "end": 3074.27, "word": " شوف", "probability": 0.988525390625}], "temperature": 1.0}, {"id": 123, "seek": 309604, "start": 3077.9, "end": 3096.04, "text": "من معكوس أي رقم من هذه الأرقام اتنين والتلاتة معكوسات لبعض لأن اتنين في تلاتة موديول وخمسة بطلع جداش واحد اللي هو ال identity element طب والاربعة في اربعة", "tokens": [27842, 20449, 4117, 41779, 36632, 12602, 4587, 2304, 9154, 29538, 16247, 2288, 4587, 10943, 1975, 2655, 1863, 9957, 16070, 2655, 1211, 9307, 3660, 20449, 4117, 41779, 9307, 5296, 3555, 3615, 11242, 5296, 33456, 1975, 2655, 1863, 9957, 8978, 6055, 1211, 9307, 3660, 3714, 2407, 16254, 12610, 4032, 9778, 2304, 3794, 3660, 4724, 9566, 1211, 3615, 10874, 3215, 33599, 36764, 24401, 13672, 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1975, 2655, 1863, 9957, 20449, 4117, 41779, 24976, 2655, 1211, 9307, 3660, 4032, 2423, 6575, 31439, 20449, 4117, 41779, 5296, 1863, 36178, 3224, 11933, 15730, 20328, 9640, 28242, 18871, 9381, 2288, 46740, 20449, 4117, 41779, 7251, 3555, 4587, 7578, 34105, 4724, 26108, 1829, 4724, 39648, 633, 4478, 294, 318, 575, 364, 17340], "avg_logprob": -0.2881433731492828, "compression_ratio": 1.5389610389610389, "no_speech_prob": 0.0, "words": [{"start": 3097.9500000000003, "end": 3099.15, "word": "يبقى", "probability": 0.60748291015625}, {"start": 3099.15, "end": 3099.73, "word": " اربعة", "probability": 0.6317952473958334}, {"start": 3099.73, "end": 3100.39, "word": " معكوس", "probability": 0.671142578125}, {"start": 3100.39, "end": 3101.23, "word": " لنفسه", "probability": 0.844970703125}, {"start": 3101.23, "end": 3101.77, "word": " و", "probability": 0.54345703125}, {"start": 3101.77, "end": 3102.23, "word": " اتنين", "probability": 0.80731201171875}, {"start": 3102.23, "end": 3102.65, "word": " معكوس", "probability": 0.8528645833333334}, {"start": 3102.65, "end": 3103.21, "word": " للتلاتة", "probability": 0.76591796875}, {"start": 3103.21, "end": 3103.33, "word": " و", "probability": 0.580078125}, {"start": 3103.33, "end": 3103.39, "word": " ال", "probability": 0.87451171875}, {"start": 3103.39, "end": 3103.89, "word": " identity", "probability": 0.78515625}, {"start": 3103.89, "end": 3104.15, "word": " هو", "probability": 0.2420654296875}, {"start": 3104.15, "end": 3104.73, "word": " معكوس", "probability": 0.796875}, {"start": 3104.73, "end": 3105.43, "word": " لنفسه", "probability": 0.9844970703125}, {"start": 3105.43, "end": 3106.03, "word": " إذا", "probability": 0.54595947265625}, {"start": 3106.03, "end": 3106.43, "word": " صار", "probability": 0.728271484375}, {"start": 3106.43, "end": 3106.97, "word": " كل", "probability": 0.96044921875}, {"start": 3106.97, "end": 3107.83, "word": " عنصر", "probability": 0.9895833333333334}, {"start": 3107.83, "end": 3108.49, "word": " له", "probability": 0.9716796875}, {"start": 3108.49, "end": 3109.39, "word": " معكوس", "probability": 0.9344075520833334}, {"start": 3109.39, "end": 3110.41, "word": " يبقى", "probability": 0.9615478515625}, {"start": 3110.41, "end": 3110.75, "word": " هنا", "probability": 0.96435546875}, {"start": 3110.75, "end": 3111.23, "word": " باجي", "probability": 0.8797200520833334}, {"start": 3111.23, "end": 3111.75, "word": " بقول", "probability": 0.955322265625}, {"start": 3111.75, "end": 3112.93, "word": " every", "probability": 0.69580078125}, {"start": 3112.93, "end": 3116.55, "word": " element", "probability": 0.96044921875}, {"start": 3116.55, "end": 3118.93, "word": " in", "probability": 0.9306640625}, {"start": 3118.93, "end": 3120.21, "word": " S", "probability": 0.5859375}, {"start": 3120.21, "end": 3121.99, "word": " has", "probability": 0.92236328125}, {"start": 3121.99, "end": 3124.21, "word": " an", "probability": 0.91650390625}, {"start": 3124.21, "end": 3125.31, "word": " inverse", "probability": 0.8798828125}], "temperature": 1.0}, {"id": 125, "seek": 315181, "start": 3127.29, "end": 3151.81, "text": "since الواحد is the inverse of واحد بعدها اتنين is the inverse of تلاتة since", "tokens": [82, 1236, 2423, 14407, 24401, 307, 264, 17340, 295, 36764, 24401, 39182, 11296, 1975, 2655, 1863, 9957, 307, 264, 17340, 295, 6055, 1211, 9307, 3660, 1670], "avg_logprob": -0.18909143187381602, "compression_ratio": 1.2289156626506024, "no_speech_prob": 0.0, "words": [{"start": 3127.29, "end": 3128.01, "word": "since", "probability": 0.57525634765625}, {"start": 3128.01, "end": 3130.73, "word": " الواحد", "probability": 0.9768880208333334}, {"start": 3130.73, "end": 3131.55, "word": " is", "probability": 0.9287109375}, {"start": 3131.55, "end": 3132.53, "word": " the", "probability": 0.8974609375}, {"start": 3132.53, "end": 3134.23, "word": " inverse", "probability": 0.86376953125}, {"start": 3134.23, "end": 3135.51, "word": " of", "probability": 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6055, 1211, 9307, 3660, 1072, 13455, 16490, 2304, 3794, 3660, 47525, 3224, 7251, 3794, 995, 45865, 36764, 24401, 293, 16247, 25513, 27884, 307, 264, 17340, 295, 2564, 1670, 13672, 1829, 8032, 2304, 9957], "avg_logprob": -0.2736280604106624, "compression_ratio": 1.152, "no_speech_prob": 0.0, "words": [{"start": 3152.74, "end": 3153.44, "word": "لأن", "probability": 0.687255859375}, {"start": 3153.44, "end": 3154.72, "word": " اتنين", "probability": 0.87255859375}, {"start": 3154.72, "end": 3155.28, "word": " في", "probability": 0.857421875}, {"start": 3155.28, "end": 3156.26, "word": " تلاتة", "probability": 0.92724609375}, {"start": 3156.26, "end": 3157.46, "word": " modulo", "probability": 0.64501953125}, {"start": 3157.46, "end": 3158.7, "word": " خمسة", "probability": 0.9609375}, {"start": 3158.7, "end": 3159.12, "word": " بده", "probability": 0.2012939453125}, {"start": 3159.12, "end": 3159.54, "word": " يساوي", "probability": 0.74267578125}, {"start": 3159.54, "end": 3159.98, 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خمسة يساوي واحد يبقى كل عنصر له معكوس يبقى بناء عليه أصبحت هذه group يبقى هنا ال S تساوي واحد واتنين وتلاتة واربعة is a group under", "tokens": [10721, 25513, 27884, 3714, 11242, 32887, 49401, 8978, 5551, 25513, 27884, 6583, 13455, 16490, 2304, 3794, 3660, 7251, 3794, 995, 45865, 36764, 24401, 7251, 3555, 4587, 7578, 28242, 18871, 9381, 2288, 46740, 20449, 4117, 41779, 7251, 3555, 4587, 7578, 44945, 16606, 47356, 5551, 9381, 3555, 33753, 29538, 1594, 7251, 3555, 4587, 7578, 34105, 2423, 318, 6055, 3794, 995, 45865, 36764, 24401, 4032, 9307, 1863, 9957, 4032, 2655, 1211, 9307, 3660, 4032, 9640, 3555, 27884, 307, 257, 1594, 833], "avg_logprob": -0.19026898243759252, "compression_ratio": 1.5714285714285714, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 3177.05, "end": 3177.81, "word": "أربعة", "probability": 0.6495361328125}, {"start": 3177.81, "end": 3178.53, "word": " مضروبة", "probability": 0.93310546875}, {"start": 3178.53, "end": 3178.77, "word": " في", "probability": 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"probability": 0.919189453125}, {"start": 3187.97, "end": 3188.33, "word": " عليه", "probability": 0.89794921875}, {"start": 3188.33, "end": 3188.89, "word": " أصبحت", "probability": 0.9375}, {"start": 3188.89, "end": 3189.21, "word": " هذه", "probability": 0.1827392578125}, {"start": 3189.21, "end": 3190.07, "word": " group", "probability": 0.261962890625}, {"start": 3190.07, "end": 3191.95, "word": " يبقى", "probability": 0.958251953125}, {"start": 3191.95, "end": 3192.37, "word": " هنا", "probability": 0.9443359375}, {"start": 3192.37, "end": 3193.83, "word": " ال", "probability": 0.7373046875}, {"start": 3193.83, "end": 3194.31, "word": " S", "probability": 0.6279296875}, {"start": 3194.31, "end": 3195.03, "word": " تساوي", "probability": 0.9373779296875}, {"start": 3195.03, "end": 3195.59, "word": " واحد", "probability": 0.85693359375}, {"start": 3195.59, "end": 3196.23, "word": " واتنين", "probability": 0.81329345703125}, {"start": 3196.23, "end": 3197.07, "word": " وتلاتة", 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{"id": 130, "seek": 326508, "start": 3246.8, "end": 3265.08, "text": "ممتاز جدا تعالى نشوف تلاتة هذه بيقول مالهاش معكوس ليش؟ لأني قلت تلاتة في تلاتة تسعة تسعة شيل منهم أربعتين بيظل واحد إذا التلاتة معكوس لنفسي صح يبقى معكوس", "tokens": [2304, 2304, 2655, 31377, 10874, 28259, 37279, 6027, 7578, 8717, 8592, 38688, 6055, 1211, 9307, 3660, 29538, 4724, 1829, 39648, 3714, 6027, 3224, 33599, 20449, 4117, 41779, 32239, 8592, 22807, 5296, 10721, 22653, 12174, 1211, 2655, 6055, 1211, 9307, 3660, 8978, 6055, 1211, 9307, 3660, 6055, 3794, 27884, 6055, 3794, 27884, 13412, 26895, 9154, 16095, 5551, 25513, 34268, 9957, 4724, 1829, 19913, 1211, 36764, 24401, 11933, 15730, 16712, 1211, 9307, 3660, 20449, 4117, 41779, 5296, 1863, 36178, 1829, 20328, 5016, 7251, 3555, 4587, 7578, 20449, 4117, 41779], "avg_logprob": -0.21519885754043405, "compression_ratio": 1.759493670886076, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 3246.8, "end": 3247.84, "word": "ممتاز", "probability": 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"word": " تلاتة", "probability": 0.9842529296875}, {"start": 3253.38, "end": 3253.5, "word": " في", "probability": 0.86767578125}, {"start": 3253.5, "end": 3254.46, "word": " تلاتة", "probability": 0.979736328125}, {"start": 3254.46, "end": 3255.68, "word": " تسعة", "probability": 0.93310546875}, {"start": 3255.68, "end": 3256.4, "word": " تسعة", "probability": 0.9031575520833334}, {"start": 3256.4, "end": 3256.86, "word": " شيل", "probability": 0.6407470703125}, {"start": 3256.86, "end": 3257.32, "word": " منهم", "probability": 0.985107421875}, {"start": 3257.32, "end": 3258.34, "word": " أربعتين", "probability": 0.8955078125}, {"start": 3258.34, "end": 3259.18, "word": " بيظل", "probability": 0.80126953125}, {"start": 3259.18, "end": 3259.56, "word": " واحد", "probability": 0.98583984375}, {"start": 3259.56, "end": 3259.88, "word": " إذا", "probability": 0.758544921875}, {"start": 3259.88, "end": 3260.58, "word": " التلاتة", "probability": 0.9755859375}, {"start": 3260.58, "end": 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{"start": 3275.5, "end": 3276.08, "word": " اتنين", "probability": 0.905029296875}, {"start": 3276.08, "end": 3276.28, "word": " في", "probability": 0.7978515625}, {"start": 3276.28, "end": 3277.24, "word": " اتنين", "probability": 0.989990234375}, {"start": 3277.24, "end": 3278.14, "word": " اربعة", "probability": 0.8821614583333334}, {"start": 3278.14, "end": 3278.68, "word": " تعني", "probability": 0.827392578125}, {"start": 3278.68, "end": 3279.36, "word": " زيرو", "probability": 0.79052734375}, {"start": 3279.36, "end": 3279.76, "word": " يبجى", "probability": 0.902099609375}, {"start": 3279.76, "end": 3280.56, "word": " اتنين", "probability": 0.9798583984375}, {"start": 3280.56, "end": 3281.3, "word": " او", "probability": 0.935302734375}, {"start": 3281.3, "end": 3281.72, "word": " هذه", "probability": 0.477294921875}, {"start": 3281.72, "end": 3282.64, "word": " ماهياش", "probability": 0.9388427734375}, {"start": 3282.64, "end": 3283.38, "word": " closed", "probability": 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/GlbhZeGGWuY_raw.json b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/GlbhZeGGWuY_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..505944ec3c6a302fdebf27d0e9b71840d083f129
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/GlbhZeGGWuY_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 3522, "start": 22.73, "end": 35.23, "text": "المرة الماضية أخدنا نظرية على ال subgroups ومختصرها إن ال H لو كانت non-empty هال condition الأول و ال condition التاني", "tokens": [6027, 29973, 3660, 9673, 46958, 10632, 5551, 9778, 3215, 8315, 8717, 19913, 2288, 10632, 15844, 2423, 1422, 17377, 82, 4032, 2304, 46456, 9381, 2288, 11296, 36145, 2423, 389, 45164, 25961, 2655, 2107, 12, 4543, 88, 8032, 6027, 4188, 16247, 12610, 4032, 2423, 4188, 16712, 7649, 1829], "avg_logprob": -0.22273935599529998, "compression_ratio": 1.3211678832116789, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 22.73, "end": 23.65, "word": "المرة", "probability": 0.578857421875}, {"start": 23.65, "end": 24.35, "word": " الماضية", "probability": 0.9923502604166666}, {"start": 24.35, "end": 25.37, "word": " أخدنا", "probability": 0.8902587890625}, {"start": 25.37, "end": 25.95, "word": " نظرية", "probability": 0.980712890625}, {"start": 25.95, "end": 26.33, "word": " 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"start": 356.63, "end": 372.25, "text": "بناءً عليه الـ identity في أي element و الله في أي set بيعطينا نفس ال element أو نفس ال set يبقى هذا معناه ان ال H P inverse بده يساوي P inverse H", "tokens": [3555, 1863, 16606, 14111, 47356, 2423, 39184, 6575, 8978, 36632, 4478, 4032, 21984, 8978, 36632, 992, 4724, 1829, 3615, 9566, 1829, 8315, 8717, 36178, 2423, 4478, 34051, 8717, 36178, 2423, 992, 7251, 3555, 4587, 7578, 23758, 20449, 8315, 3224, 16472, 2423, 389, 430, 17340, 47525, 3224, 7251, 3794, 995, 45865, 430, 17340, 389], "avg_logprob": -0.2699652706031446, "compression_ratio": 1.445945945945946, "no_speech_prob": 0.0, "words": [{"start": 356.63, "end": 357.43, "word": "بناءً", "probability": 0.77117919921875}, {"start": 357.43, "end": 357.75, "word": " عليه", "probability": 0.7841796875}, {"start": 357.75, "end": 358.15, "word": " الـ", "probability": 0.758056640625}, {"start": 358.15, "end": 358.75, "word": " identity", "probability": 0.56787109375}, {"start": 358.75, "end": 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{"start": 745.13, "end": 745.95, "word": " يبقى", "probability": 0.97607421875}, {"start": 745.95, "end": 746.17, "word": " أي", "probability": 0.85107421875}, {"start": 746.17, "end": 746.65, "word": " عنصر", "probability": 0.958984375}, {"start": 746.65, "end": 746.97, "word": " فيها", "probability": 0.99072265625}, {"start": 746.97, "end": 747.33, "word": " له", "probability": 0.9794921875}, {"start": 747.33, "end": 748.67, "word": " معكوس", "probability": 0.8138020833333334}, {"start": 748.67, "end": 748.87, "word": " إذا", "probability": 0.95263671875}, {"start": 748.87, "end": 749.05, "word": " ال", "probability": 0.96435546875}, {"start": 749.05, "end": 749.21, "word": " B", "probability": 0.44189453125}, {"start": 749.21, "end": 749.65, "word": " inverse", "probability": 0.859375}, {"start": 749.65, "end": 750.05, "word": " موجود", "probability": 0.8956705729166666}, {"start": 750.05, "end": 750.33, "word": " فيهش", "probability": 0.57928466796875}, {"start": 750.33, "end": 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"probability": 0.892578125}, {"start": 765.91, "end": 766.45, "word": " A", "probability": 0.9580078125}, {"start": 766.45, "end": 766.97, "word": " و", "probability": 0.61474609375}, {"start": 766.97, "end": 767.21, "word": " ال", "probability": 0.408935546875}, {"start": 767.21, "end": 767.41, "word": " B", "probability": 0.98681640625}, {"start": 767.41, "end": 767.71, "word": " اللي", "probability": 0.845458984375}, {"start": 767.71, "end": 768.23, "word": " belong", "probability": 0.176025390625}, {"start": 768.23, "end": 768.55, "word": " to", "probability": 0.9501953125}, {"start": 768.55, "end": 768.93, "word": " H", "probability": 0.95166015625}, {"start": 768.93, "end": 769.95, "word": " and", "probability": 0.29248046875}, {"start": 769.95, "end": 770.69, "word": " ال", "probability": 0.916015625}, {"start": 770.69, "end": 771.03, "word": " B", "probability": 0.98486328125}, {"start": 771.03, "end": 771.73, "word": " inverse", "probability": 0.60595703125}, {"start": 771.73, 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الثاني يبقى هذا from the second condition", "tokens": [3555, 39648, 3224, 9122, 45865, 3794, 2423, 7649, 1670, 2423, 363, 3714, 29245, 23328, 8978, 389, 4724, 15042, 16472, 363, 3714, 29245, 23328, 8978, 389, 321, 362, 2423, 363, 16472, 5172, 2288, 3794, 3714, 29245, 23328, 8978, 389, 23032, 3555, 9154, 4032, 9957, 10874, 3555, 2655, 2423, 28820, 10943, 23758, 9154, 2423, 1150, 4188, 9154, 2423, 4188, 6024, 104, 7649, 1829, 7251, 3555, 4587, 7578, 23758, 490, 264, 1150, 4188], "avg_logprob": -0.16560299295774647, "compression_ratio": 1.7453416149068324, "no_speech_prob": 0.0, "words": [{"start": 810.49, "end": 811.07, "word": "بقوله", "probability": 0.8854166666666666}, {"start": 811.07, "end": 811.55, "word": " كويس", "probability": 0.9752604166666666}, {"start": 811.55, "end": 812.73, "word": " الان", "probability": 0.694580078125}, {"start": 812.73, "end": 814.25, "word": " since", "probability": 0.81201171875}, {"start": 814.25, "end": 815.55, "word": " ال", "probability": 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"end": 839.51, "word": " condition", "probability": 0.9736328125}], "temperature": 1.0}, {"id": 36, "seek": 86985, "start": 842.59, "end": 869.85, "text": "طيب احنا ماخدين هنا ال a و ال b موجودة في h الآن ال a موجودة في h كويس؟ and ال a في b belongs to h لكل اللي هو ال a و ال b اللي موجودة في h implies هذا الآن موجود في h صح؟", "tokens": [9566, 1829, 3555, 1975, 5016, 8315, 3714, 47283, 3215, 9957, 34105, 2423, 257, 4032, 2423, 272, 3714, 29245, 23328, 3660, 8978, 276, 6024, 48506, 2423, 257, 3714, 29245, 23328, 3660, 8978, 276, 9122, 45865, 3794, 22807, 293, 2423, 257, 8978, 272, 12953, 281, 276, 5296, 28820, 13672, 1829, 31439, 2423, 257, 4032, 2423, 272, 13672, 1829, 3714, 29245, 23328, 3660, 8978, 276, 18779, 23758, 6024, 48506, 3714, 29245, 23328, 8978, 276, 20328, 5016, 22807], "avg_logprob": -0.15458333492279053, "compression_ratio": 1.7852348993288591, "no_speech_prob": 0.0, "words": [{"start": 842.59, "end": 843.39, "word": "طيب", "probability": 0.6929117838541666}, {"start": 843.39, "end": 843.93, "word": " احنا", "probability": 0.9274088541666666}, {"start": 843.93, "end": 844.41, "word": " ماخدين", "probability": 0.9559326171875}, {"start": 844.41, "end": 844.93, "word": " هنا", "probability": 0.96044921875}, {"start": 844.93, "end": 845.53, "word": " ال", "probability": 0.95654296875}, {"start": 845.53, "end": 845.73, "word": " a", "probability": 0.74365234375}, {"start": 845.73, "end": 845.91, "word": " و", "probability": 0.65625}, {"start": 845.91, "end": 846.05, "word": " ال", "probability": 0.92724609375}, {"start": 846.05, "end": 846.21, "word": " b", "probability": 0.97607421875}, {"start": 846.21, "end": 846.79, "word": " موجودة", "probability": 0.9805908203125}, {"start": 846.79, "end": 846.97, "word": " في", "probability": 0.814453125}, {"start": 846.97, "end": 847.25, "word": " h", "probability": 0.63330078125}, {"start": 847.25, "end": 848.59, "word": " الآن", "probability": 0.5550537109375}, {"start": 848.59, "end": 850.13, "word": " ال", "probability": 0.96728515625}, {"start": 850.13, "end": 850.61, "word": " a", "probability": 0.9814453125}, {"start": 850.61, "end": 851.57, "word": " موجودة", "probability": 0.98779296875}, {"start": 851.57, "end": 851.79, "word": " في", "probability": 0.93896484375}, {"start": 851.79, "end": 852.15, "word": " h", "probability": 0.94921875}, {"start": 852.15, "end": 854.51, "word": " كويس؟", "probability": 0.6956787109375}, {"start": 854.51, "end": 855.19, "word": " and", "probability": 0.78271484375}, {"start": 855.19, "end": 857.37, "word": " ال", "probability": 0.95703125}, {"start": 857.37, "end": 857.89, "word": " a", "probability": 0.986328125}, {"start": 857.89, "end": 858.23, "word": " في", "probability": 0.8818359375}, {"start": 858.23, "end": 858.69, "word": " b", "probability": 0.91650390625}, {"start": 858.69, "end": 859.45, "word": " belongs", "probability": 0.68701171875}, {"start": 859.45, "end": 859.85, "word": " to", "probability": 0.9853515625}, {"start": 859.85, "end": 860.19, "word": " h", "probability": 0.92724609375}, {"start": 860.19, "end": 861.21, "word": " لكل", "probability": 0.965576171875}, {"start": 861.21, "end": 861.91, "word": " اللي", "probability": 0.94677734375}, {"start": 861.91, "end": 862.07, "word": " هو", "probability": 0.9541015625}, {"start": 862.07, "end": 862.25, "word": " ال", "probability": 0.939453125}, {"start": 862.25, "end": 862.59, "word": " a", "probability": 0.99169921875}, {"start": 862.59, "end": 862.75, "word": " و", "probability": 0.86572265625}, {"start": 862.75, "end": 862.95, "word": " ال", "probability": 0.94287109375}, {"start": 862.95, "end": 863.19, "word": " b", "probability": 0.9931640625}, {"start": 863.19, "end": 863.43, "word": " اللي", "probability": 0.969970703125}, {"start": 863.43, "end": 864.09, "word": " موجودة", "probability": 0.987060546875}, {"start": 864.09, "end": 864.25, "word": " في", "probability": 0.93994140625}, {"start": 864.25, "end": 864.53, "word": " h", "probability": 0.93798828125}, {"start": 864.53, "end": 865.85, "word": " implies", "probability": 0.89697265625}, {"start": 865.85, "end": 867.55, "word": " هذا", "probability": 0.90234375}, {"start": 867.55, "end": 867.91, "word": " الآن", "probability": 0.7120361328125}, {"start": 867.91, "end": 868.31, "word": " موجود", "probability": 0.9892578125}, {"start": 868.31, "end": 868.53, "word": " في", "probability": 0.95849609375}, {"start": 868.53, "end": 868.89, "word": " h", "probability": 0.90283203125}, {"start": 868.89, "end": 869.85, "word": " صح؟", "probability": 0.92041015625}], "temperature": 1.0}, {"id": 37, "seek": 88593, "start": 870.51, "end": 885.93, "text": "و هذا موجود في H و ال condition هذا حاصل ضرب اي عنصر من H موجود في H إذا بدي أضرب الاتنين هدول في بعض ي بجا بدي أصير A B inverse موجود في H", "tokens": [2407, 23758, 3714, 29245, 23328, 8978, 389, 4032, 2423, 4188, 23758, 11331, 33546, 1211, 48812, 25513, 1975, 1829, 18871, 9381, 2288, 9154, 389, 3714, 29245, 23328, 8978, 389, 11933, 15730, 4724, 16254, 5551, 11242, 25513, 2423, 9307, 1863, 9957, 8032, 3215, 12610, 8978, 45030, 11242, 7251, 4724, 7435, 995, 4724, 16254, 5551, 9381, 13546, 316, 363, 17340, 3714, 29245, 23328, 8978, 389], "avg_logprob": -0.30753968253968256, "compression_ratio": 1.5633802816901408, "no_speech_prob": 0.0, "words": [{"start": 870.51, "end": 870.79, "word": "و", "probability": 0.422119140625}, {"start": 870.79, "end": 871.17, "word": " هذا", "probability": 0.2335205078125}, {"start": 871.17, "end": 871.75, "word": " موجود", "probability": 0.9215494791666666}, {"start": 871.75, "end": 872.05, "word": " في", "probability": 0.92724609375}, {"start": 872.05, "end": 872.41, "word": " H", "probability": 0.4501953125}, {"start": 872.41, "end": 873.29, "word": " و", "probability": 0.39794921875}, {"start": 873.29, "end": 873.43, "word": " ال", "probability": 0.66552734375}, {"start": 873.43, "end": 874.05, "word": " condition", "probability": 0.93994140625}, {"start": 874.05, "end": 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أضرب", "probability": 0.8987630208333334}, {"start": 878.65, "end": 879.17, "word": " الاتنين", "probability": 0.830810546875}, {"start": 879.17, "end": 879.57, "word": " هدول", "probability": 0.7613932291666666}, {"start": 879.57, "end": 879.75, "word": " في", "probability": 0.97314453125}, {"start": 879.75, "end": 880.33, "word": " بعض", "probability": 0.993408203125}, {"start": 880.33, "end": 880.97, "word": " ي", "probability": 0.5439453125}, {"start": 880.97, "end": 881.67, "word": " بجا", "probability": 0.6494954427083334}, {"start": 881.67, "end": 882.15, "word": " بدي", "probability": 0.6890869140625}, {"start": 882.15, "end": 882.65, "word": " أصير", "probability": 0.8876953125}, {"start": 882.65, "end": 883.33, "word": " A", "probability": 0.54638671875}, {"start": 883.33, "end": 883.93, "word": " B", "probability": 0.5751953125}, {"start": 883.93, "end": 884.85, "word": " inverse", "probability": 0.5439453125}, {"start": 884.85, "end": 885.43, "word": " موجود", "probability": 0.9873046875}, {"start": 885.43, "end": 885.63, "word": " في", "probability": 0.9619140625}, {"start": 885.63, "end": 885.93, "word": " H", "probability": 0.98388671875}], "temperature": 1.0}, {"id": 38, "seek": 91166, "start": 888.02, "end": 911.66, "text": "الان الـ H non-empty مُعطَى أخدت الـ two elements موجودات في H وجدت حصل ضرب الأول في التاني موجودة في H يبقى الـ H is a subgroup بالنظرية السابقة يبقى هذا بدّي يعطينا أن الـ H is a subgroup من G from the previous", "tokens": [6027, 7649, 2423, 39184, 389, 2107, 12, 4543, 88, 3714, 10859, 3615, 9566, 6808, 7578, 5551, 9778, 3215, 2655, 2423, 39184, 732, 4959, 3714, 29245, 23328, 9307, 8978, 389, 49610, 3215, 2655, 11331, 9381, 1211, 48812, 25513, 16247, 12610, 8978, 16712, 7649, 1829, 3714, 29245, 23328, 3660, 8978, 389, 7251, 3555, 4587, 7578, 2423, 39184, 389, 307, 257, 1422, 17377, 20666, 1863, 19913, 2288, 10632, 21136, 16758, 28671, 7251, 3555, 4587, 7578, 23758, 47525, 11703, 1829, 37495, 9566, 1829, 8315, 14739, 2423, 39184, 389, 307, 257, 1422, 17377, 9154, 460, 490, 264, 3894], "avg_logprob": -0.28723403399294994, "compression_ratio": 1.5142857142857142, "no_speech_prob": 0.0, "words": [{"start": 888.02, "end": 888.86, "word": "الان", "probability": 0.4949951171875}, {"start": 888.86, "end": 889.1, "word": " الـ", "probability": 0.439697265625}, {"start": 889.1, "end": 889.24, "word": " H", "probability": 0.5859375}, {"start": 889.24, "end": 889.54, "word": " non", "probability": 0.11480712890625}, {"start": 889.54, "end": 890.16, "word": "-empty", "probability": 0.7555338541666666}, {"start": 890.16, "end": 890.76, "word": " مُعطَى", "probability": 0.7273356119791666}, {"start": 890.76, "end": 891.74, "word": " أخدت", "probability": 0.57293701171875}, {"start": 891.74, "end": 892.0, "word": " الـ", "probability": 0.5008544921875}, {"start": 892.0, "end": 892.48, "word": " two", "probability": 0.70654296875}, {"start": 892.48, "end": 893.04, "word": " elements", "probability": 0.85009765625}, {"start": 893.04, "end": 893.9, "word": " موجودات", "probability": 0.8544921875}, {"start": 893.9, "end": 894.12, "word": " في", "probability": 0.939453125}, {"start": 894.12, "end": 894.56, "word": " H", "probability": 0.57861328125}, {"start": 894.56, "end": 895.28, "word": " وجدت", "probability": 0.7620442708333334}, {"start": 895.28, "end": 895.72, "word": " حصل", "probability": 0.7152506510416666}, {"start": 895.72, "end": 895.98, "word": " ضرب", "probability": 0.95654296875}, {"start": 895.98, "end": 896.4, "word": " الأول", "probability": 0.990234375}, {"start": 896.4, "end": 896.56, "word": " في", "probability": 0.88330078125}, {"start": 896.56, "end": 896.92, "word": " التاني", "probability": 0.8580729166666666}, {"start": 896.92, "end": 897.34, "word": " موجودة", "probability": 0.9625244140625}, {"start": 897.34, "end": 897.46, "word": " في", "probability": 0.94384765625}, {"start": 897.46, "end": 897.66, "word": " H", "probability": 0.82275390625}, {"start": 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" أن", "probability": 0.44091796875}, {"start": 904.6, "end": 904.98, "word": " الـ", "probability": 0.9267578125}, {"start": 904.98, "end": 905.2, "word": " H", "probability": 0.83349609375}, {"start": 905.2, "end": 905.68, "word": " is", "probability": 0.9296875}, {"start": 905.68, "end": 906.0, "word": " a", "probability": 0.97705078125}, {"start": 906.0, "end": 906.8, "word": " subgroup", "probability": 0.965576171875}, {"start": 906.8, "end": 907.08, "word": " من", "probability": 0.97705078125}, {"start": 907.08, "end": 907.4, "word": " G", "probability": 0.7021484375}, {"start": 907.4, "end": 908.46, "word": " from", "probability": 0.828125}, {"start": 908.46, "end": 910.12, "word": " the", "probability": 0.87255859375}, {"start": 910.12, "end": 911.66, "word": " previous", "probability": 0.8115234375}], "temperature": 1.0}, {"id": 39, "seek": 94137, "start": 913.19, "end": 941.37, "text": "الثيوريم يبقى بالنظرية السابقة هذه سارة subgroup وهو المطلوب نعطي مثال توضيحي example let ال g بدها تساوي r star اللي بدها تساوي ال r ناقص ال zero under", "tokens": [6027, 12984, 1829, 13063, 32640, 7251, 3555, 4587, 7578, 20666, 1863, 19913, 2288, 10632, 21136, 16758, 28671, 29538, 8608, 9640, 3660, 1422, 17377, 37037, 2407, 9673, 9566, 1211, 37746, 8717, 3615, 9566, 1829, 50113, 6027, 33427, 11242, 1829, 5016, 1829, 1365, 718, 2423, 290, 47525, 11296, 6055, 3794, 995, 45865, 367, 3543, 13672, 1829, 47525, 11296, 6055, 3794, 995, 45865, 2423, 367, 8717, 995, 4587, 9381, 2423, 4018, 833], "avg_logprob": -0.2363839272941862, "compression_ratio": 1.4846625766871167, "no_speech_prob": 0.0, "words": [{"start": 913.19, "end": 914.07, "word": "الثيوريم", "probability": 0.5168701171875}, {"start": 914.07, "end": 915.05, "word": " يبقى", "probability": 0.898681640625}, {"start": 915.05, "end": 915.63, "word": " بالنظرية", "probability": 0.97021484375}, {"start": 915.63, "end": 916.09, "word": " السابقة", "probability": 0.9558919270833334}, {"start": 916.09, "end": 916.33, "word": " 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"probability": 0.98828125}, {"start": 1148.78, "end": 1149.68, "word": " آخر،", "probability": 0.82763671875}, {"start": 1149.68, "end": 1149.86, "word": " بدي", "probability": 0.7451171875}, {"start": 1149.86, "end": 1150.16, "word": " يكون", "probability": 0.892578125}, {"start": 1150.16, "end": 1150.6, "word": " موجود", "probability": 0.9850260416666666}, {"start": 1150.6, "end": 1150.76, "word": " في", "probability": 0.947265625}, {"start": 1150.76, "end": 1150.94, "word": " H", "probability": 0.58935546875}, {"start": 1150.94, "end": 1151.42, "word": " إن", "probability": 0.7958984375}, {"start": 1151.42, "end": 1152.14, "word": " كانت", "probability": 0.99169921875}, {"start": 1152.14, "end": 1152.82, "word": " subgroup", "probability": 0.765625}, {"start": 1152.82, "end": 1154.1, "word": " طيب،", "probability": 0.8653564453125}, {"start": 1154.1, "end": 1154.6, "word": " الآن", "probability": 0.791015625}, {"start": 1154.6, "end": 1155.16, "word": " أنا", "probability": 0.79443359375}, {"start": 1155.16, "end": 1155.82, "word": " أدعي", "probability": 0.9515380859375}, {"start": 1155.82, "end": 1156.4, "word": " إن", "probability": 0.61376953125}, {"start": 1156.4, "end": 1157.1, "word": " الـH", "probability": 0.8092447916666666}, {"start": 1157.1, "end": 1157.56, "word": " هذه", "probability": 0.428955078125}, {"start": 1157.56, "end": 1158.12, "word": " is", "probability": 0.91357421875}, {"start": 1158.12, "end": 1158.92, "word": " not", "probability": 0.966796875}, {"start": 1158.92, "end": 1159.42, "word": " a", "probability": 0.9619140625}, {"start": 1159.42, "end": 1160.18, "word": " subgroup", "probability": 0.965576171875}, {"start": 1160.18, "end": 1160.46, "word": " من", "probability": 0.9736328125}, {"start": 1160.46, "end": 1160.56, "word": " هنا", "probability": 0.219482421875}], "temperature": 1.0}, {"id": 48, "seek": 119089, "start": 1161.71, "end": 1190.89, "text": "انا ادعى طيب شو السبب because جذر تلاتة موجود في itch ولا لا يا شباب مش جذر تلاتة irrational number and جذر تلاتة مضروب في جذر تلاتة بده يساوي قدر هل التلاتة irrational number لأ مش موجود في itch", "tokens": [7649, 995, 1975, 3215, 3615, 7578, 23032, 1829, 3555, 13412, 2407, 21136, 3555, 3555, 570, 10874, 8848, 2288, 6055, 1211, 9307, 3660, 3714, 29245, 23328, 8978, 309, 339, 49429, 20193, 35186, 13412, 3555, 16758, 37893, 10874, 8848, 2288, 6055, 1211, 9307, 3660, 39914, 1230, 293, 10874, 8848, 2288, 6055, 1211, 9307, 3660, 3714, 11242, 32887, 3555, 8978, 10874, 8848, 2288, 6055, 1211, 9307, 3660, 47525, 3224, 7251, 3794, 995, 45865, 12174, 3215, 2288, 8032, 1211, 16712, 1211, 9307, 3660, 39914, 1230, 5296, 10721, 37893, 3714, 29245, 23328, 8978, 309, 339], "avg_logprob": -0.1535027482352414, "compression_ratio": 1.819277108433735, "no_speech_prob": 0.0, "words": [{"start": 1161.71, "end": 1162.11, "word": "انا", "probability": 0.6356201171875}, {"start": 1162.11, "end": 1162.59, "word": " ادعى", "probability": 0.5811767578125}, {"start": 1162.59, 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1172.17, "end": 1172.37, "word": " شباب", "probability": 0.9734700520833334}, {"start": 1172.37, "end": 1173.65, "word": " مش", "probability": 0.62109375}, {"start": 1173.65, "end": 1173.99, "word": " جذر", "probability": 0.9920247395833334}, {"start": 1173.99, "end": 1174.39, "word": " تلاتة", "probability": 0.982177734375}, {"start": 1174.39, "end": 1174.85, "word": " irrational", "probability": 0.72802734375}, {"start": 1174.85, "end": 1175.75, "word": " number", "probability": 0.98583984375}, {"start": 1175.75, "end": 1177.29, "word": " and", "probability": 0.69775390625}, {"start": 1177.29, "end": 1180.09, "word": " جذر", "probability": 0.9274088541666666}, {"start": 1180.09, "end": 1180.93, "word": " تلاتة", "probability": 0.991455078125}, {"start": 1180.93, "end": 1181.65, "word": " مضروب", "probability": 0.873046875}, {"start": 1181.65, "end": 1181.89, "word": " في", "probability": 0.98583984375}, {"start": 1181.89, "end": 1182.47, "word": " جذر", "probability": 0.9775390625}, {"start": 1182.47, "end": 1182.93, "word": " تلاتة", "probability": 0.99267578125}, {"start": 1182.93, "end": 1183.27, "word": " بده", "probability": 0.61083984375}, {"start": 1183.27, "end": 1183.57, "word": " يساوي", "probability": 0.895263671875}, {"start": 1183.57, "end": 1184.25, "word": " قدر", "probability": 0.9207356770833334}, {"start": 1184.25, "end": 1185.51, "word": " هل", "probability": 0.90185546875}, {"start": 1185.51, "end": 1186.43, "word": " التلاتة", "probability": 0.8831787109375}, {"start": 1186.43, "end": 1186.91, "word": " irrational", "probability": 0.9248046875}, {"start": 1186.91, "end": 1187.75, "word": " number", "probability": 0.9912109375}, {"start": 1187.75, "end": 1188.71, "word": " لأ", "probability": 0.872314453125}, {"start": 1188.71, "end": 1189.11, "word": " مش", "probability": 0.97314453125}, {"start": 1189.11, "end": 1189.93, "word": " موجود", "probability": 0.9881184895833334}, {"start": 1189.93, "end": 1190.25, "word": " في", "probability": 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0.74462890625}, {"start": 2266.86, "end": 2267.42, "word": " طلع", "probability": 0.9186197916666666}, {"start": 2267.42, "end": 2267.88, "word": " هذا", "probability": 0.919921875}, {"start": 2267.88, "end": 2268.6, "word": " بواحد", "probability": 0.9178059895833334}, {"start": 2268.6, "end": 2269.4, "word": " معناته", "probability": 0.6919352213541666}, {"start": 2269.4, "end": 2269.68, "word": " ايه؟", "probability": 0.61859130859375}, {"start": 2269.68, "end": 2269.84, "word": " اذا", "probability": 0.7255859375}, {"start": 2269.84, "end": 2270.1, "word": " واحد", "probability": 0.739501953125}, {"start": 2270.1, "end": 2270.66, "word": " يساوي", "probability": 0.8702392578125}, {"start": 2270.66, "end": 2270.8, "word": " ال", "probability": 0.90869140625}, {"start": 2270.8, "end": 2271.52, "word": " identity", "probability": 0.8349609375}, {"start": 2271.52, "end": 2272.06, "word": " يبقى", "probability": 0.90966796875}, {"start": 2272.06, "end": 2272.34, "word": " ايه", "probability": 0.9549153645833334}, {"start": 2272.34, "end": 2272.54, "word": " هو", "probability": 0.8662109375}, {"start": 2272.54, "end": 2272.68, "word": " ال", "probability": 0.96240234375}, {"start": 2272.68, "end": 2273.76, "word": " identity؟", "probability": 0.7265625}, {"start": 2273.76, "end": 2273.98, "word": " لكن", "probability": 0.81298828125}, {"start": 2273.98, "end": 2274.24, "word": " احنا", "probability": 0.93408203125}, {"start": 2274.24, "end": 2274.88, "word": " شرطنا", "probability": 0.7991943359375}, {"start": 2274.88, "end": 2275.24, "word": " انه", "probability": 0.756591796875}, {"start": 2275.24, "end": 2276.62, "word": " ايه؟", "probability": 0.88916015625}, {"start": 2276.62, "end": 2276.9, "word": " مش", "probability": 0.80224609375}, {"start": 2276.9, "end": 2277.5, "word": " ممكن،", "probability": 0.8302408854166666}, {"start": 2277.5, "end": 2277.8, "word": " اذا", "probability": 0.838623046875}, {"start": 2277.8, "end": 2278.14, "word": " هذا", "probability": 0.9580078125}, {"start": 2278.14, "end": 2278.68, "word": " الكلام", "probability": 0.96142578125}, {"start": 2278.68, "end": 2279.2, "word": " دائما", "probability": 0.95654296875}, {"start": 2279.2, "end": 2279.72, "word": " وأبدا", "probability": 0.6962890625}], "temperature": 1.0}, {"id": 93, "seek": 230144, "start": 2280.03, "end": 2301.45, "text": "أكبر من واحد ممكن يكون اتنين تلاتة اربعة الاخري ما علينا اكبر من الواحد اذا ال a ij طبعا هتقدر تقولي هذا اكبر من واحد مشان ماتوش تقولي because السبب ان ال a بسويش ال a", "tokens": [10721, 4117, 26890, 9154, 36764, 24401, 3714, 43020, 7251, 30544, 1975, 2655, 1863, 9957, 6055, 1211, 9307, 3660, 1975, 25513, 27884, 2423, 47283, 16572, 19446, 25894, 8315, 1975, 4117, 26890, 9154, 2423, 14407, 24401, 1975, 15730, 2423, 257, 741, 73, 23032, 3555, 3615, 995, 8032, 2655, 28543, 2288, 6055, 39648, 1829, 23758, 1975, 4117, 26890, 9154, 36764, 24401, 37893, 7649, 3714, 9307, 2407, 8592, 6055, 39648, 1829, 570, 21136, 3555, 3555, 16472, 2423, 257, 4724, 3794, 45865, 8592, 2423, 257], "avg_logprob": -0.22183641975308643, "compression_ratio": 1.8050314465408805, "no_speech_prob": 0.0, "words": [{"start": 2280.03, "end": 2280.61, "word": "أكبر", "probability": 0.7190348307291666}, {"start": 2280.61, "end": 2280.75, "word": " من", "probability": 0.97412109375}, {"start": 2280.75, "end": 2280.89, "word": " واحد", "probability": 0.963623046875}, {"start": 2280.89, "end": 2281.31, "word": " ممكن", "probability": 0.80712890625}, {"start": 2281.31, "end": 2281.73, "word": " يكون", "probability": 0.946044921875}, {"start": 2281.73, "end": 2282.53, "word": " اتنين", "probability": 0.8489990234375}, {"start": 2282.53, "end": 2283.27, "word": " تلاتة", "probability": 0.8023681640625}, {"start": 2283.27, "end": 2283.69, "word": " اربعة", "probability": 0.8642578125}, {"start": 2283.69, "end": 2284.33, "word": " الاخري", "probability": 0.7724609375}, {"start": 2284.33, "end": 2284.85, "word": " ما", "probability": 0.72021484375}, {"start": 2284.85, "end": 2285.31, "word": " علينا", "probability": 0.823974609375}, {"start": 2285.31, "end": 2285.81, "word": " اكبر", "probability": 0.84375}, {"start": 2285.81, "end": 2285.99, "word": " من", "probability": 0.99267578125}, {"start": 2285.99, "end": 2286.41, "word": " الواحد", "probability": 0.8255208333333334}, {"start": 2286.41, "end": 2287.93, "word": " اذا", "probability": 0.82470703125}, {"start": 2287.93, "end": 2288.23, "word": " ال", "probability": 0.94580078125}, {"start": 2288.23, "end": 2288.45, "word": " a", "probability": 0.55029296875}, {"start": 2288.45, "end": 2289.31, "word": " ij", "probability": 0.474365234375}, {"start": 2289.31, "end": 2289.87, "word": " طبعا", "probability": 0.9427490234375}, {"start": 2289.87, "end": 2290.89, "word": " هتقدر", "probability": 0.75537109375}, {"start": 2290.89, "end": 2291.47, "word": " تقولي", "probability": 0.95947265625}, {"start": 2291.47, "end": 2291.87, "word": " هذا", "probability": 0.810546875}, {"start": 2291.87, "end": 2292.63, "word": " اكبر", "probability": 0.89208984375}, {"start": 2292.63, "end": 2292.81, "word": " من", "probability": 0.99365234375}, {"start": 2292.81, "end": 2293.21, "word": " واحد", "probability": 0.995361328125}, {"start": 2293.21, "end": 2293.97, "word": " مشان", "probability": 0.5831298828125}, {"start": 2293.97, "end": 2294.43, "word": " ماتوش", "probability": 0.65289306640625}, {"start": 2294.43, "end": 2295.03, "word": " تقولي", "probability": 0.9832356770833334}, {"start": 2295.03, "end": 2296.27, "word": " because", "probability": 0.9306640625}, {"start": 2296.27, "end": 2298.11, "word": " السبب", "probability": 0.9684244791666666}, {"start": 2298.11, "end": 2298.79, "word": " ان", "probability": 0.8486328125}, {"start": 2298.79, "end": 2299.07, "word": " ال", "probability": 0.95849609375}, {"start": 2299.07, "end": 2299.43, "word": " a", "probability": 0.921875}, {"start": 2299.43, "end": 2300.61, "word": " بسويش", "probability": 0.7412109375}, {"start": 2300.61, "end": 2300.95, "word": " ال", "probability": 0.91796875}, {"start": 2300.95, "end": 2301.45, "word": " a", "probability": 0.59814453125}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2302.5835, "duration_after_vad": 2173.119374999996}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/KpzIv297Rbw_postprocess.srt b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/KpzIv297Rbw_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..7c005b9a15c702e5314ec43b764cb9938f8c4bbf
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/KpzIv297Rbw_postprocess.srt
@@ -0,0 +1,1664 @@
+1
+00:00:21,400 --> 00:00:24,020
+بسم الله الرحمن الرحيم ان شاء الله شباب اليوم
+
+2
+00:00:24,020 --> 00:00:28,240
+هنفوت في الوحدة الرابعة اللي عنوانها cyclic groups
+
+3
+00:00:28,240 --> 00:00:31,580
+خلينا بس نراجع شوية معروفاتنا في اللي درسناها
+
+4
+00:00:31,580 --> 00:00:35,300
+سابقا في الوحدة التالتة و الوحدة التانية و وحدة
+
+5
+00:00:35,300 --> 00:00:42,900
+المقدمة يمكن لو طلعت على ال ..النص التاريخي هنا أو
+
+6
+00:00:42,900 --> 00:00:45,760
+المقولة اللى موجودة لواحد اسمه Alex مش عارف اشهرها
+
+7
+00:00:45,760 --> 00:00:50,540
+في العام 1991 بتكلم عن لفظة ال group نفسها اللى
+
+8
+00:00:50,540 --> 00:00:54,080
+صارت أهم من لفظة physics وchemistry وحتى
+
+9
+00:00:54,080 --> 00:00:57,900
+mathematics itself الفكرة هنا يا شباب بالنسبة لل
+
+10
+00:00:57,900 --> 00:01:02,820
+chapter الرابع or the cyclic groups هي كالتالي في
+
+11
+00:01:02,820 --> 00:01:06,680
+.. عند أهل الرياضيات في عندهم هوث بحاجة اسمة
+
+12
+00:01:06,680 --> 00:01:08,540
+classification أو التصنيف
+
+13
+00:01:11,260 --> 00:01:15,680
+يعني لما بنيجي بنعرف هيكل جبري أو هيكل تحليلي
+
+14
+00:01:15,680 --> 00:01:20,040
+مجموعة عليها بعض الخصائص والشروط بنحاول نصنف
+
+15
+00:01:20,040 --> 00:01:25,960
+الأنواع هذه المجموعات يعني مثلا في شغلنا مفهوم
+
+16
+00:01:25,960 --> 00:01:35,620
+لجروب هي مجموعة زاد عملية زاد
+
+17
+00:01:35,620 --> 00:01:37,860
+أربع شروط
+
+18
+00:01:40,810 --> 00:01:47,590
+هنلاحظ فيه عدد كبير من الحاجات اللي زي هيك أو
+
+19
+00:01:47,590 --> 00:01:51,310
+المجموعات اللي معرفة عليها عملية و بتحقق الأربع
+
+20
+00:01:51,310 --> 00:01:55,910
+شروط و اللي بنسميها group لكن هل هذه كلها زي بعض؟
+
+21
+00:01:55,910 --> 00:02:04,430
+هل هي نفس الشيء؟ هل هي صور مختلفة لنفس المفهوم؟
+
+22
+00:02:04,430 --> 00:02:09,040
+بيجي هنا السؤاللما بدأت أتعامل مع ال groups لجأت
+
+23
+00:02:09,040 --> 00:02:14,740
+أنه عندي فرصة أني أصنع groups بأي order بديها ممكن
+
+24
+00:02:14,740 --> 00:02:21,120
+أبدأ ب order 1,2,3,4,N او بنتكلم عن ZN ممكن أتكلم
+
+25
+00:02:21,120 --> 00:02:27,160
+عن ال groups ال order إلى infinity طيب هى نوع من
+
+26
+00:02:27,160 --> 00:02:32,370
+أنواع التصنيف أني أصنف ال group حسب عدد أنصرهافي
+
+27
+00:02:32,370 --> 00:02:38,010
+نوع تاني اني هصنف ال group حسب العملية نفسها بتحقق
+
+28
+00:02:38,010 --> 00:02:44,430
+شرط إضافي ولا لأ زي مين ال abelian و ال non
+
+29
+00:02:44,430 --> 00:02:52,430
+abelian و كان عندي قسم ل groups لصنفين صنف abelian
+
+30
+00:02:52,430 --> 00:02:58,030
+و صنف non abelian ال abelian نفسه بدنا نصنف فيه
+
+31
+00:02:58,030 --> 00:03:05,360
+أيضايعني في ال abelian أنا بإمكاني ألاقي نوعين نوع
+
+32
+00:03:05,360 --> 00:03:14,640
+زي ال R مع الجامع و نوع زي ال Z برضه مع الجامع
+
+33
+00:03:14,640 --> 00:03:20,860
+لاحظوا نفس العملية و هذه أصلا جزء من ..يعني ال Z
+
+34
+00:03:20,860 --> 00:03:27,790
+جزء من مين؟ من ال Rلكن الـ Z مع الجامعة بتحقق
+
+35
+00:03:27,790 --> 00:03:35,050
+خاصية انه جميع العناصر بقدر اكتبهم تركيبة معينة من
+
+36
+00:03:35,050 --> 00:03:40,330
+عنصر ما يعني كل العناصر في الـ Z عبارة عن power
+
+37
+00:03:40,330 --> 00:03:45,550
+لمين؟ للواحد طبعا ال N عبارة عن واحد plus N ليه؟ N
+
+38
+00:03:45,550 --> 00:03:51,670
+في واحد لأن عملية الضرب هنا تتحول ليش؟ لجامعة في
+
+39
+00:03:51,670 --> 00:03:56,050
+القارة ده كلام مش ممكن اعملهما عنده تنتين abelian
+
+40
+00:03:56,050 --> 00:04:02,450
+فأنا لازم أصنف ال groups اللي بتحقق هذا الكلام تحت
+
+41
+00:04:02,450 --> 00:04:06,830
+إطار معين و ال groups اللي بتحققش هذا الكلام تحت
+
+42
+00:04:06,830 --> 00:04:12,630
+إطار آخر الإطار تبع ال group z ومثلاتها هنسميه ال
+
+43
+00:04:12,630 --> 00:04:20,330
+cyclic groups وهذا هيكون abelian لكن إيش ماله؟ مش
+
+44
+00:04:20,330 --> 00:04:26,350
+cyclicناخد من الـ Z الخاصية الأهم اللي خلتها
+
+45
+00:04:26,350 --> 00:04:31,550
+مختلفة عن ال R و هي ان كل العناصر تركيبة خطية من
+
+46
+00:04:31,550 --> 00:04:36,230
+الواحد و نقول ان ال group علشان تكون cyclic لازم
+
+47
+00:04:36,230 --> 00:04:40,990
+تكون كل العناصر تركيبة خطية من عنصر معاه يعني
+
+48
+00:04:40,990 --> 00:04:44,270
+بنسمي هذا العنصر اللي العناصر تركيبة .. او مش
+
+49
+00:04:44,270 --> 00:04:48,490
+تركيبة خطية منه power لهذا العنصر هذا العنصر هسميه
+
+50
+00:04:48,490 --> 00:04:55,820
+مولد او generator لل groupنجي للأهمية، ليش احنا
+
+51
+00:04:55,820 --> 00:05:04,560
+بندرس التصنيف؟ سببين، السبب الأول، هذا بهمني لما
+
+52
+00:05:04,560 --> 00:05:08,740
+أدرس لاحقا عملية ال isomorphism و ال homomorphism،
+
+53
+00:05:08,740 --> 00:05:14,260
+و بهمني لمعرفة أنههدول ال groups زي بعض فبحطهم مع
+
+54
+00:05:14,260 --> 00:05:19,080
+بعض وبصير أتعامل مع راس إلهم وما ينطبق عليه ينطبق
+
+55
+00:05:19,080 --> 00:05:23,960
+على الباقى الشغلة التانية بسهل علي التعامل مع
+
+56
+00:05:23,960 --> 00:05:28,310
+التركيبة الداخلية لل groupsكيف يعني؟ يعني انا لو
+
+57
+00:05:28,310 --> 00:05:32,890
+بشر على group Cyclic الجروب الـ Cyclic بتحقق خصائص
+
+58
+00:05:32,890 --> 00:05:37,290
+بتخليني هذه الخصائص بسهولة اقدر اتعامل مع ال
+
+59
+00:05:37,290 --> 00:05:43,430
+orders تبعت العناصر اتعامل مع خصائص العنصر نفسه
+
+60
+00:05:43,430 --> 00:05:48,070
+لحل المعادلات المتعلقة بالعناصر الموجودة ضمن هذه
+
+61
+00:05:48,070 --> 00:05:49,550
+ال groups
+
+62
+00:05:52,750 --> 00:05:58,030
+في حين مثلا اللي أبيه لأنه مش cyclic مقدرش أنفذ
+
+63
+00:05:58,030 --> 00:06:04,370
+هذا الكلام إلا لما بدي أخد نظريات أكثر تقدما في ال
+
+64
+00:06:04,370 --> 00:06:10,130
+chapter الرابع اليوم ابنهي كل ما يتعلق بال cyclic
+
+65
+00:06:10,130 --> 00:06:15,410
+groups من ناحية التركيب الداخلي في chapter عشرة أو
+
+66
+00:06:15,410 --> 00:06:20,530
+chapter 11 تحديدابنتناول ما يتعلق بالـ Ability
+
+67
+00:06:20,530 --> 00:06:26,250
+Group الـ finite من ناحية التركيب الداخلي بظل
+
+68
+00:06:26,250 --> 00:06:32,150
+الصعوبة في التعامل مع مين؟ مع شغلتين الـ Ability
+
+69
+00:06:32,150 --> 00:06:36,960
+Infiniteوالـ non-abelian طبعا الناس اللي بيشتغلوا
+
+70
+00:06:36,960 --> 00:06:39,680
+في الجابر الحديث اللي هم نظرياتهم و اللي هم شغلهم
+
+71
+00:06:39,680 --> 00:06:42,980
+في هذا الموضوع اللي احنا مش هنتطرق له في هذا
+
+72
+00:06:42,980 --> 00:06:47,180
+المساق إذا ضال وجد احنا هناخد شبطة راح دعش ما
+
+73
+00:06:47,180 --> 00:06:49,480
+يتعلق بالـ finite abelian group لكن على الأقل
+
+74
+00:06:49,480 --> 00:06:54,700
+هننهي من الـcyclic groups بالنسبة للتعريف التعريف
+
+75
+00:06:54,700 --> 00:06:59,560
+مر علينا سابقا خلال الوحدة السابقة اتكلمنا عن ايش
+
+76
+00:06:59,560 --> 00:07:10,510
+بتعني كلمة cyclicEgo أي سؤال يا شباب؟ في أي سؤال؟
+
+77
+00:07:10,510 --> 00:07:20,830
+طيب نلخص بعض الأمور كمثال
+
+78
+00:07:20,830 --> 00:07:31,830
+واحد لو أخدنا Z with addition
+
+79
+00:07:34,660 --> 00:07:47,520
+أخدنا z مع عملية الجمعة we can show that for any x
+
+80
+00:07:47,520 --> 00:07:57,220
+أو n ينتمي ل z that ال n بتتساوي واحد أس أن أو
+
+81
+00:07:57,220 --> 00:08:04,250
+عبارة عن ال n في واحدأيضا الان بتتساوي سالب واحد
+
+82
+00:08:04,250 --> 00:08:10,570
+او سالب ان اللي عبارة عن سالب ان بسالب واحد يعني
+
+83
+00:08:10,570 --> 00:08:22,610
+each element in z is a power of
+
+84
+00:08:22,610 --> 00:08:33,480
+واحد and a power of سالب واحدهذا بيخلينا نقول ان
+
+85
+00:08:33,480 --> 00:08:43,260
+واحد and سالب واحد are generators of
+
+86
+00:08:43,260 --> 00:08:48,120
+the group Z
+
+87
+00:08:48,120 --> 00:08:58,580
+عبارة عن مولدات لأناصر ال group Z and Z is a
+
+88
+00:08:58,580 --> 00:08:59,200
+cyclic
+
+89
+00:09:06,930 --> 00:09:13,870
+الجروب مثال اخر برضه على z لكن على مين على zn لو
+
+90
+00:09:13,870 --> 00:09:19,770
+جيت انا قولت zn اللي عبارة عن zero واحد اتنين
+
+91
+00:09:19,770 --> 00:09:27,070
+تلاتة land in minus one we
+
+92
+00:09:27,070 --> 00:09:30,750
+can show also
+
+93
+00:09:32,960 --> 00:09:48,720
+that any element in ZN is a power of واحد هل
+
+94
+00:09:48,720 --> 00:09:54,200
+الواحد و بس لأ بقدر ألاقي عراسي أخرى هنطلق لها
+
+95
+00:09:54,200 --> 00:09:57,780
+لاحقا هكون الواحد is a generator
+
+96
+00:10:00,210 --> 00:10:10,030
+of Zn and Zn is cyclic طبعا Zn لما بتناولها من دون
+
+97
+00:10:10,030 --> 00:10:14,190
+ما احط عليها شروط اضافية فانا بتكلم عن Zn مع عملية
+
+98
+00:10:14,190 --> 00:10:25,850
+عملية الجامعة modulo N طيب لو أخدنا مثلا
+
+99
+00:10:31,850 --> 00:10:43,490
+U عشرة الـ U عشرة مين فيها؟ واحد، تلاتة، سبعة،
+
+100
+00:10:43,490 --> 00:10:49,370
+تسعة طبعا أنا مقدرش أقول generated by واحد، لأن
+
+101
+00:10:49,370 --> 00:10:54,040
+الواحد عبارة عن إيشعلى ال identity لكن انا مقدر
+
+102
+00:10:54,040 --> 00:10:58,880
+اقول ان تلاتة اص واحد بتساوي تلاتة تلاتة اص اتنين
+
+103
+00:10:58,880 --> 00:11:05,600
+تلاتة فتلاتة جديش تسعة تلاتة اص تلاتة عبارة عن
+
+104
+00:11:05,600 --> 00:11:10,940
+سبعة و عشرين بضار جديش سبعة تلاتة اص اربعة واحد
+
+105
+00:11:10,940 --> 00:11:19,120
+معناته U عشرة بتساوي generated by تلاتة ايضا هي
+
+106
+00:11:19,120 --> 00:11:28,660
+generated by مينU10 Generated by 7 وبالتالي U10 is
+
+107
+00:11:28,660 --> 00:11:31,780
+Cyclic
+
+108
+00:11:31,780 --> 00:11:40,220
+U10
+
+109
+00:11:40,220 --> 00:11:43,260
+Cyclic لكن هل كل ال UN Cyclic
+
+110
+00:11:48,530 --> 00:11:56,790
+U10 Cyclic هل كل ال U N Cyclic؟ أربع أعطيني مثال
+
+111
+00:11:56,790 --> 00:12:05,390
+على U U8 N مش Cyclic نجرب ال U8 مين فيها ال U8؟
+
+112
+00:12:05,390 --> 00:12:09,590
+طيب
+
+113
+00:12:09,590 --> 00:12:15,550
+هلاحظ أنه تلاتة أسواحد تلاتة تلاتة تربية عبارة عن
+
+114
+00:12:15,550 --> 00:12:20,510
+واحدخمسة أُس واحد خمسة لكن خمسة تربيع عبارة عن
+
+115
+00:12:20,510 --> 00:12:27,450
+واحد سبعة أُس واحد سبعة لكن سبعة تربيع برضه واحد
+
+116
+00:12:27,450 --> 00:12:33,550
+وبالتالي U تمانية ليست generated by تلاتة وليست
+
+117
+00:12:33,550 --> 00:12:40,410
+generated by خمسة وليست generated by سبعة هذا
+
+118
+00:12:40,410 --> 00:12:43,830
+معناته U تمانية is not
+
+119
+00:12:46,600 --> 00:12:55,140
+Cyclic ليست جروب و لجروب هذه Cyclic الأربع أمثلة
+
+120
+00:12:55,140 --> 00:13:02,940
+اللي كتبناها بتوضح ليه ان زد Cyclic زد N دايما
+
+121
+00:13:02,940 --> 00:13:07,620
+Cyclic لأي N المثال التالت و الرابع بيقول ال UN قد
+
+122
+00:13:07,620 --> 00:13:14,140
+تكون Cyclic و قد لا تكون Cyclic واضح
+
+123
+00:13:17,290 --> 00:13:24,110
+واضح شباب؟ طبعا
+
+124
+00:13:24,110 --> 00:13:39,630
+هي الأمثلة الموجودة قدامك هنبدأ
+
+125
+00:13:39,630 --> 00:13:45,050
+بعد هذا المثال في أولى نظريات الوحدة الرابعة
+
+126
+00:13:45,050 --> 00:13:45,910
+theorem
+
+127
+00:13:49,560 --> 00:13:50,400
+أربعة واحدة
+
+128
+00:14:08,250 --> 00:14:12,370
+عشان انا اقدر اتناول في نظرية لاحقة بعد نظرية 4-1
+
+129
+00:14:12,370 --> 00:14:16,850
+اسمها ال fundamental theorem of cyclic groups
+
+130
+00:14:16,850 --> 00:14:22,870
+النظرية الأساسية للزمر الدورة لازم انا اتناول
+
+131
+00:14:22,870 --> 00:14:31,180
+مسألة وقتاش two powers لأنصر ما بيتساوىوقتاش بقول
+
+132
+00:14:31,180 --> 00:14:37,660
+ان AI بتساوي AJ فأي group لو أخدت أي عنصر هذا
+
+133
+00:14:37,660 --> 00:14:44,860
+قدامه خيارين يا إله infinite order يا إله finite
+
+134
+00:14:44,860 --> 00:14:50,720
+order بدنا نتناول في حالة ال infinite order وقتاش
+
+135
+00:14:52,330 --> 00:14:56,690
+الـ AI بيتساوى AJ مين هو الـ I والـ J اللي بيخلي
+
+136
+00:14:56,690 --> 00:15:01,050
+هذا الكلام صحيح وفي حالة الـ finite الـ AI والـ AJ
+
+137
+00:15:01,050 --> 00:15:06,670
+واكتش بيتساوى وإيش علاقة الـ I والـ J في هذه
+
+138
+00:15:06,670 --> 00:15:15,550
+الحالة كنص النظرية خلينا نكتبه let J be
+
+139
+00:15:15,550 --> 00:15:18,730
+a group
+
+140
+00:15:22,250 --> 00:15:32,050
+A ينتمي للـ J الحالة الأولى if order ال A بساوي
+
+141
+00:15:32,050 --> 00:15:40,370
+infinite يعني ال A has infinite order then AI
+
+142
+00:15:40,370 --> 00:15:50,930
+بتساوي AJ if and only if ال I بساوي G and
+
+143
+00:15:55,120 --> 00:16:02,260
+generated by a بتبدأ بال identity a هي تربية هي
+
+144
+00:16:02,260 --> 00:16:09,300
+تكيب ولا تنتهي اما
+
+145
+00:16:09,300 --> 00:16:15,080
+في حالة ما يكون ال order finite الوضع شوية بيتغير
+
+146
+00:16:15,080 --> 00:16:21,480
+تنين
+
+147
+00:16:21,480 --> 00:16:32,290
+if order ال aبساوي and then ai
+
+148
+00:16:32,290 --> 00:16:41,850
+بساوي aj if and only if ال n تقسم ال i minus g مش
+
+149
+00:16:41,850 --> 00:16:49,910
+بس هيك and generated by a ده تساوي ال identity a
+
+150
+00:16:49,910 --> 00:17:00,830
+a2and a and minus one في كل
+
+151
+00:17:00,830 --> 00:17:08,370
+حالة بالنسبة ل a أُس i بيساوي a أُس j في نتائج
+
+152
+00:17:08,370 --> 00:17:19,970
+وكتش بيتساوى الجزء الأول assume that أن أردر ال a
+
+153
+00:17:19,970 --> 00:17:28,160
+بدأ تساوي infiniteهذا معناته ان AOSN لا يساوي ال
+
+154
+00:17:28,160 --> 00:17:38,480
+identity for any N في الـ Z في
+
+155
+00:17:38,480 --> 00:17:46,250
+اتجاه سحل if I بساوي JA to I بيبقى تساوي A to G جي
+
+156
+00:17:46,250 --> 00:17:50,090
+العكسي انه I بيساوي جي بيقضيلي انه A أُس I بيساوي
+
+157
+00:17:50,090 --> 00:17:54,910
+A أُس G وهذا أمر منطقي نجي لاتجاه التاني Assume
+
+158
+00:17:54,910 --> 00:18:06,190
+that A I بيبقى تساوي ن لا يساوي بلاش في زيد بيحطها
+
+159
+00:18:06,190 --> 00:18:09,190
+في ال natural number اتكلم عن ال order يكون
+
+160
+00:18:09,190 --> 00:18:17,180
+positiveassume that a أُس i بدت ساوي a أُس j هذا
+
+161
+00:18:17,180 --> 00:18:30,360
+معناته let أو assume that ان جي أو اي لا يساوي جي
+
+162
+00:18:30,360 --> 00:18:34,300
+انا
+
+163
+00:18:34,300 --> 00:18:38,480
+بدي اثبت ان اي بيساوي جي هفتخد ان اي لا يساوي جي
+
+164
+00:18:42,320 --> 00:18:51,960
+without lost of generality بدون فقدان التعميم ذات
+
+165
+00:18:51,960 --> 00:18:59,660
+I أكبر من J ما هو ال I لا يساوي ال J يا ال I أكبر
+
+166
+00:18:59,660 --> 00:19:06,840
+يا ال J أكبر فحنفترض أنه ال I أكبر حاجة ال AI بدت
+
+167
+00:19:06,840 --> 00:19:16,070
+ساوي AJ يعني AIminus j بدت ساو ال identity هداش
+
+168
+00:19:16,070 --> 00:19:22,170
+حيخليني أقول but
+
+169
+00:19:22,170 --> 00:19:32,190
+a أس n لا يساو ال identity لكل n في ال N هداش
+
+170
+00:19:32,190 --> 00:19:37,190
+معناته معناته لازم ال I minus ال J ساو Zero
+
+171
+00:19:37,190 --> 00:19:39,390
+وبالتالي
+
+172
+00:19:42,900 --> 00:19:49,260
+إذا حسيني أندي تناقض هان كيف بقول كيف
+
+173
+00:19:49,260 --> 00:19:53,700
+بقول إن ال I minus ال J بتساوي ال identity وال I
+
+174
+00:19:53,700 --> 00:20:00,460
+minus J ينتمي لل N وال A أس N لا يساوي ال identity
+
+175
+00:20:00,460 --> 00:20:08,140
+لأي N في N هذا contradiction فاني أعملها هان
+
+176
+00:20:08,140 --> 00:20:12,440
+وبالتالي I بدأ تساوي
+
+177
+00:20:17,690 --> 00:20:24,410
+طيب هذا معناته انه generated by a بتتساوي ال
+
+178
+00:20:24,410 --> 00:20:33,450
+identity ايه تربية ايه تكييب and a of i and a of j
+
+179
+00:20:33,450 --> 00:20:38,610
+are distinct خلي
+
+180
+00:20:38,610 --> 00:20:44,810
+اعمله since ال a of i and a of j are distinct from
+
+181
+00:20:44,810 --> 00:20:45,290
+any
+
+182
+00:20:50,630 --> 00:21:00,130
+I يساوي جيه هجات ال powers لل A A أس I و A أس جيه
+
+183
+00:21:00,130 --> 00:21:04,730
+لايتساوى إلا لو تساوى ال I و الجيه لما ال I و
+
+184
+00:21:04,730 --> 00:21:08,170
+الجيه مايتساووش هذه القيم اللي بتطلع معاش بتكون
+
+185
+00:21:08,850 --> 00:21:15,310
+مختلفة مابصلش في لحظة معينة لأنصر موجود قبل هيك كل
+
+186
+00:21:15,310 --> 00:21:19,550
+مرة باعطي power جديد بيعطي ناشر أنصر جديد وبالتالي
+
+187
+00:21:19,550 --> 00:21:25,650
+هذه المجموعة مش هتنتهي وبهيك تكون خلص إثبات الجزء
+
+188
+00:21:25,650 --> 00:21:35,250
+الأول أي
+
+189
+00:21:35,250 --> 00:21:35,950
+سؤال؟
+
+190
+00:21:46,140 --> 00:21:50,120
+عشان ال order بيساوي infinity مدام ال order بيساوي
+
+191
+00:21:50,120 --> 00:21:53,220
+infinity مش هيساوي عدد محدود يعني مافيش power لل a
+
+192
+00:21:53,220 --> 00:21:59,980
+بيعطيك ال identity غير ال zero عشان انالو انا
+
+193
+00:21:59,980 --> 00:22:03,020
+خلّيتها N ينتمي ل Z طب ما هو اصلاً A و Zero
+
+194
+00:22:03,020 --> 00:22:06,620
+بيعطيني ال identity فاخدتها في ال N حد هيقول لي
+
+195
+00:22:06,620 --> 00:22:09,920
+طيب و الأعداد السالبة ما هو اصلاً لو ال A أُس سالب
+
+196
+00:22:09,920 --> 00:22:13,360
+N بساوي ال identity فال A أُس N هيساوي ال identity
+
+197
+00:22:13,360 --> 00:22:18,320
+وبالتالي لما انا اقول N في ال N فانا بلغ الموجب و
+
+198
+00:22:18,320 --> 00:22:28,500
+بلغ السالب و بكتفي بمين بالصفر جزء التاني assume
+
+199
+00:22:30,900 --> 00:22:40,420
+that هو أخضر الـ A بدأت ساوي الـ N يعني A أُس N
+
+200
+00:22:40,420 --> 00:22:46,840
+بدأت ساوي الـ Identity إيش المطلوب يثبته نرجع للنص
+
+201
+00:22:46,840 --> 00:22:49,880
+انه
+
+202
+00:22:49,880 --> 00:22:55,540
+A أُس I بساوي A أُس G if and only if ال N بتقسم ال
+
+203
+00:22:55,540 --> 00:23:05,690
+I minus G في اتجاه سهلإذا I بيساوي الـ J ثم A أس I
+
+204
+00:23:05,690 --> 00:23:10,770
+بيبقى بيساوي الـJ لحظة، أنا هبدأ بنفس البداية،
+
+205
+00:23:10,770 --> 00:23:19,130
+بنفس الطريقة اللي بدأتها جهة تانية Assume that A
+
+206
+00:23:19,130 --> 00:23:21,930
+أس I بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى
+
+207
+00:23:21,930 --> 00:23:23,430
+بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى A أس J
+
+208
+00:23:27,170 --> 00:23:33,150
+هنثبت ان ال I ناقص ال J من مضاعفات ال N أو ال N
+
+209
+00:23:33,150 --> 00:23:43,730
+بتقسم ال A minus J هذا معناته ال A اقص I minus J
+
+210
+00:23:43,730 --> 00:23:46,090
+ايش ده تساوي ال identity
+
+211
+00:23:49,390 --> 00:23:55,070
+طيب حاجة الجيت أشغل على الأن هنمسح الجملة هذه
+
+212
+00:23:55,070 --> 00:24:00,190
+كتبناها و نرجع نكتب جملة بعدها نكتبها ال I minus J
+
+213
+00:24:00,190 --> 00:24:04,070
+مدام
+
+214
+00:24:04,070 --> 00:24:08,730
+أنا ماحطيت الشروط على I و J فهذا قد يكون سالب و قد
+
+215
+00:24:08,730 --> 00:24:14,850
+يكونموجبه قد يكون zero أنا علشان أبعد عن حالتين
+
+216
+00:24:14,850 --> 00:24:19,110
+حالة ال zero و حالة السالب هفترض زي ما فرضت هنا أن
+
+217
+00:24:19,110 --> 00:24:22,470
+ال I أكبر من ال J إفتراض أن ال I أكبر من ال J يعني
+
+218
+00:24:22,470 --> 00:24:28,270
+أن أنا دخلت على أسلوب الإثبات الغير مباشر يعني بال
+
+219
+00:24:28,270 --> 00:24:31,790
+contradiction وبالتالي لازم أفترض أن ال I لا يساوي
+
+220
+00:24:31,790 --> 00:24:38,630
+ال J assume in contrary that
+
+221
+00:24:40,640 --> 00:24:56,260
+إن الـ I لا يساوي جيه C الـ I أكبر من الجيه Now A
+
+222
+00:24:56,260 --> 00:25:02,080
+أُس I بيبقى تساوي A أُس G يعني A أُس I minus جيه
+
+223
+00:25:02,080 --> 00:25:07,660
+إيش بديه يساوي ال identity طبعا تنساش إن ال I
+
+224
+00:25:07,660 --> 00:25:21,810
+minus Gأكبر من الصفر يعني بينتمي لمين ينتمي طيب
+
+225
+00:25:21,810 --> 00:25:26,910
+using اللي
+
+226
+00:25:26,910 --> 00:25:36,090
+هو ال division algorithm سمعني
+
+227
+00:25:36,090 --> 00:25:41,770
+ال division algorithmأنا بقدر أقول إن الـ I minus
+
+228
+00:25:41,770 --> 00:25:45,570
+J بدأ
+
+229
+00:25:45,570 --> 00:25:52,150
+تساوي الـ QN زائد الـ R والـ R أقل من الـ N وأكبر
+
+230
+00:25:52,150 --> 00:26:00,690
+من الصفر صح؟ في غلط أن
+
+231
+00:26:00,690 --> 00:26:03,970
+أنا شيلت اليسار لما أنا بدي أقول إن اليسار مش
+
+232
+00:26:03,970 --> 00:26:05,910
+موجود بدي مبرر
+
+233
+00:26:08,360 --> 00:26:15,240
+بدي و بقى طب و ليش انا بدي اثبتها هنا هل انا محتاج
+
+234
+00:26:15,240 --> 00:26:28,960
+انفيها طيب
+
+235
+00:26:28,960 --> 00:26:34,500
+يبدو اني بديت خطأ ممكن انا اجابه لعدل بعد هيك طيب
+
+236
+00:26:34,500 --> 00:26:46,500
+nowAOSR عبارة عن AOS I minus الـ J نقصة QN بدا
+
+237
+00:26:46,500 --> 00:26:53,580
+تساوي AOS I minus الـ J في AOS سالب QN اللي عبارة
+
+238
+00:26:53,580 --> 00:26:58,920
+عن الـ Identity في AOS N سالب Q Identity في
+
+239
+00:26:58,920 --> 00:27:07,270
+Identity بدا تساوي ايش Identity يعني بAOSRده السوى
+
+240
+00:27:07,270 --> 00:27:12,330
+ال identity طيب
+
+241
+00:27:12,330 --> 00:27:17,350
+تعالوا نشوف وين الأخطاء اللي وجعنا فيها أول حاجة
+
+242
+00:27:17,350 --> 00:27:22,130
+شباب أناش المطلوب يثبته مش
+
+243
+00:27:22,130 --> 00:27:27,270
+المطلوب يثبته أول حاجة المطلوب أثبت أن ال N تقسم
+
+244
+00:27:27,270 --> 00:27:32,470
+ال I minus ال J أناش
+
+245
+00:27:32,470 --> 00:27:32,970
+فرضت
+
+246
+00:27:39,300 --> 00:27:43,240
+ماشيله علاقة؟ ايش اللي علاقة؟ يعني بقى هذا أول خطأ
+
+247
+00:27:43,240 --> 00:27:47,580
+شوية
+
+248
+00:27:47,580 --> 00:27:52,440
+بس و هذا الخطأ جاب ورا أخطاء تانية فرض أن ال I لا
+
+249
+00:27:52,440 --> 00:27:59,880
+يساوي J و قولت أن ال I أكبر من ال J طبعا
+
+250
+00:27:59,880 --> 00:28:05,860
+و هذا مبني على هذا أنا مطلوب أني أثبتإن ال N تقسم
+
+251
+00:28:05,860 --> 00:28:11,460
+ال I minus ال J هل لو ال I أكبر من ال J ال N قد لا
+
+252
+00:28:11,460 --> 00:28:16,280
+تقسم ال I minus J مالوش
+
+253
+00:28:16,280 --> 00:28:22,740
+علاقة إذا فبنرجع نعدل فرضياتنا و نعدل الدزق هذا
+
+254
+00:28:22,740 --> 00:28:25,920
+بناء على الفرض اللي احنا فرضنا إذا فأنا بدي أفترض
+
+255
+00:28:25,920 --> 00:28:34,650
+هنا إيش أن ال N لا تقسم ال I minus Jتقسم او لا
+
+256
+00:28:34,650 --> 00:28:41,970
+تقسم؟ لا تقسم هل هذي اللي هالازمة هالجيت؟ لأ لأ
+
+257
+00:28:41,970 --> 00:28:48,110
+هجيت ال A اقص I minus الجيه بدي ساوي ال E انا لما
+
+258
+00:28:48,110 --> 00:28:52,550
+قولت انه I minus الجيه في ال .. بناء على ايش؟ على
+
+259
+00:28:52,550 --> 00:28:58,130
+انه ال I أكبر من الجيه طيب بصراحة ال I أكبر من
+
+260
+00:28:58,130 --> 00:29:00,210
+الجيه يبقى دي ونحن سيه؟ في ال Z
+
+261
+00:29:04,420 --> 00:29:08,320
+Using Division Algorithm معرفة على مين عزد في هذه
+
+262
+00:29:08,320 --> 00:29:14,580
+الخطوة سليمة هرجت هنرجع هان لما انا قلتلك انه
+
+263
+00:29:14,580 --> 00:29:18,860
+ممنوع نشيل المساواة الا بمبرر صار المبرر موجود ولا
+
+264
+00:29:18,860 --> 00:29:24,480
+لأ الشوة انه الان لو تقسم ال I minus J فانا بروحش
+
+265
+00:29:24,480 --> 00:29:31,810
+بعمل هان بشيل المساواةبكمل a-r بيساوي a-i-j-q-n
+
+266
+00:29:31,810 --> 00:29:40,350
+بصل ان a-r بيساوي ال identity since r أكبر أو
+
+267
+00:29:40,350 --> 00:29:46,950
+يساوي ال zero a-r بيساوي ال identity طبعا ال r ما
+
+268
+00:29:46,950 --> 00:29:51,150
+بين ال n و أكبر من ال zero ال a-r بيساوي ال
+
+269
+00:29:51,150 --> 00:29:53,990
+identity order لل a بيساوي n
+
+270
+00:29:57,830 --> 00:30:01,950
+A contradiction مين
+
+271
+00:30:01,950 --> 00:30:07,110
+هو ال contradiction هادا ال order هو n وصار عندي
+
+272
+00:30:07,110 --> 00:30:13,990
+عدد مش صفري أقل من ال n بيعطينا ال identity so وين
+
+273
+00:30:13,990 --> 00:30:23,600
+الخلل انه لازم ال R يساوي zero and ال n تقسمالـ I
+
+274
+00:30:23,600 --> 00:30:27,340
+minus J و بالتالي الجزئية الأولى من المرحلة
+
+275
+00:30:27,340 --> 00:30:33,000
+التانية تم إثباتها أعيد بسرعة عشان .. أعيد بسرعة
+
+276
+00:30:33,000 --> 00:30:39,040
+لإنه طريقة الإثبات صار فيها تعديل أنا فرضت ..
+
+277
+00:30:39,040 --> 00:30:43,380
+بالعمد يعني أنت عمد فيك و لا عشان تتعلم ولا .. مش
+
+278
+00:30:43,380 --> 00:30:45,880
+دائما بكون عاملة بالعمد أحيانا أنا بخ .. ب .. يعني
+
+279
+00:30:45,880 --> 00:30:52,700
+انا أخلطت في شغلة و برجع بعدلهاطيب فعرضت هنا إن ال
+
+280
+00:30:52,700 --> 00:30:58,460
+A Os I بدأ تساوي A Os Jفانا بشتغل على عكس المطلوب
+
+281
+00:30:58,460 --> 00:31:03,360
+فرضت ان الان لا يقسم ال I minus J وصلت ان I minus
+
+282
+00:31:03,360 --> 00:31:07,620
+J بده يساوي ال identity و I minus J في ال Z و الان
+
+283
+00:31:07,620 --> 00:31:11,560
+عدد طبيعي فانا بقدر اشتغل بال division algorithm و
+
+284
+00:31:11,560 --> 00:31:15,540
+اكتب هذا الكلام و علشان الان لا تقسم I minus J
+
+285
+00:31:15,540 --> 00:31:19,760
+الار لان تساوي Zero وصلت بعد الحسابات لان I minus
+
+286
+00:31:19,760 --> 00:31:23,560
+R بده يساوي ال identity طيب I minus R بده يساوي ال
+
+287
+00:31:23,560 --> 00:31:31,230
+identityوالـ R عدد طبيعي يعني يكون أكبر من ال
+
+288
+00:31:31,230 --> 00:31:36,210
+order لكن هو أصغر من ال order فصار تناقض يعني لازم
+
+289
+00:31:36,210 --> 00:31:43,870
+ال R يساوي 0 و الأن تقسم ال I minus G الجهة
+
+290
+00:31:43,870 --> 00:31:48,630
+التانية بسطر واحد لو ال I بيساوي ال G فال A و I
+
+291
+00:31:48,630 --> 00:31:49,990
+بيساوي A و G
+
+292
+00:31:57,620 --> 00:32:05,680
+خلّيني أكتب الجهة التانية مرة أخرى Assume أن
+
+293
+00:32:05,680 --> 00:32:15,420
+N تقسم I minus J معناته أن I minus J تتساوي Q
+
+294
+00:32:15,420 --> 00:32:26,520
+تعملناها T في N و T من أين؟ من Zهجة A أُس I minus
+
+295
+00:32:26,520 --> 00:32:31,240
+الـ J عبارة عن A أُس T N يعني عبارة عن A أُس N أُس
+
+296
+00:32:31,240 --> 00:32:36,020
+T بدت سوى الـ Identity A أُس I minus الـ J بدت سوى
+
+297
+00:32:36,020 --> 00:32:44,700
+الـ Identity A أُس I بدت سوى A أُس G طيب،
+
+298
+00:32:44,700 --> 00:32:49,260
+فضل هذه؟
+
+299
+00:32:49,260 --> 00:32:55,310
+تركز معايافرضت أن الـ A أُس I بيبقى تساوي A أُس J
+
+300
+00:32:55,310 --> 00:33:02,950
+فرضت
+
+301
+00:33:02,950 --> 00:33:09,290
+الـ B فرضت أن الـ A أُس I بيبقى تساوي A أُس J فرضت
+
+302
+00:33:09,290 --> 00:33:09,690
+أن الـ B فرضت أن الـ A أُس I بيبقى تساوي A أُس J
+
+303
+00:33:09,690 --> 00:33:12,050
+فرضت أن الـ N تقسم الـ I minus J فرضت أن الـ N لا
+
+304
+00:33:12,050 --> 00:33:19,000
+تقسم الـ I minus Jيبقى a-i يبقى a-j يبقى a-j يبقى
+
+305
+00:33:19,000 --> 00:33:20,000
+a-j يبقى a-j يبقى a-j يبقى a-j يبقى a-j يبقى a-j
+
+306
+00:33:20,000 --> 00:33:20,200
+يبقى a-j يبقى a-j يبقى a-j يبقى a-j يبقى a-j يبقى
+
+307
+00:33:20,200 --> 00:33:21,480
+a-j يبقى a-j يبقى a-j يبقى a-j يبقى a-j يبقى a-j
+
+308
+00:33:21,480 --> 00:33:22,100
+يبقى a-j يبقى a-j يبقى a-j يبقى a-j يبقى a-j يبقى
+
+309
+00:33:22,100 --> 00:33:30,580
+a-j يبقى a-j يبقى a-j يبقى a-j يبقى
+
+310
+00:33:30,580 --> 00:33:38,510
+a-j يبقى a-j يبقى a-jالـ A أُس I مينص الـ G
+
+311
+00:33:38,510 --> 00:33:42,570
+Identity A أُس سالب Q N عبارة عن A أُس N أُس سالب
+
+312
+00:33:42,570 --> 00:33:46,630
+Q برضه Identity Identity في Identity بيعطيك ال
+
+313
+00:33:46,630 --> 00:33:50,610
+Identity يكبر A أُس R بيبقى يساوي ال Identity هجيت
+
+314
+00:33:50,610 --> 00:33:54,850
+أي عدد طبيعي برفع ال A له وبيعطيني ال Identity
+
+315
+00:33:54,850 --> 00:33:59,470
+لازم يكون أكبر من مين؟ من ال order لأن ال order هو
+
+316
+00:33:59,470 --> 00:34:03,230
+أصغر عدد طبيعي بيخلي ال A يروح لمين؟
+
+317
+00:34:05,600 --> 00:34:08,900
+هو المفروض يكون أكبر لكن حسب الـ Divisional Root
+
+318
+00:34:08,900 --> 00:34:14,080
+ما هو أصغر فصار عندي تناقض وبالتالي لازم ال R
+
+319
+00:34:14,080 --> 00:34:19,860
+تساوي صفر و ال order أو ال A ال N تقسم ال I minus
+
+320
+00:34:19,860 --> 00:34:30,620
+J تجاه العكس سهل يعني مافيش فيه تأخير كيف؟ ما
+
+321
+00:34:30,620 --> 00:34:34,600
+هو حسب ال Divisional Root مستحيل يساوي ال Nطالما
+
+322
+00:34:34,600 --> 00:34:38,820
+بتجسم الباقي دائما أقل من اللي بتجسم عليه وإلا لو
+
+323
+00:34:38,820 --> 00:34:44,820
+بيساوي اللي بتجسم عليه هيظل باقي بتضالي
+
+324
+00:34:44,820 --> 00:34:53,820
+الجزية الأخيرة شباب
+
+325
+00:34:53,820 --> 00:34:59,060
+أنا بدي أثبت انه generated by ايه بس هدول هذه
+
+326
+00:34:59,060 --> 00:35:04,390
+خطوتينالخطوة الأولى انه كل واحد من هدول مختلف عن
+
+327
+00:35:04,390 --> 00:35:13,210
+التانى الخطوة التانية انه اي واحد من برا يعني اي
+
+328
+00:35:13,210 --> 00:35:19,970
+power اقل من الصفر او اكبر من ال N-1 لازم يكون
+
+329
+00:35:19,970 --> 00:35:25,510
+موجود هنا طيب now four
+
+330
+00:35:26,720 --> 00:35:35,540
+أني I أقل من ال N أكبر أو يساوي الصفر J أقل من ال
+
+331
+00:35:35,540 --> 00:35:51,020
+N أكبر أو يساوي الصفر if I لا يساوي J then I minus
+
+332
+00:35:51,020 --> 00:35:59,650
+J من ال Nوبين السلب N وال I minus J لا يساوي Zero
+
+333
+00:35:59,650 --> 00:36:02,810
+وبالتالي
+
+334
+00:36:02,810 --> 00:36:08,230
+A أس I minus J مش هيساوي ال identity
+
+335
+00:36:11,870 --> 00:36:15,810
+العدد الوحيد اللى ما ترفع ال a له يعطيك ال
+
+336
+00:36:15,810 --> 00:36:20,350
+identity من هو الصفر بس الصفر ال i minus ال j لا
+
+337
+00:36:20,350 --> 00:36:24,330
+تساوي ايه بمناته ال a أُس i minus ال j ما بيسويش
+
+338
+00:36:24,330 --> 00:36:31,630
+ال identity و فتالة a أُس i لا يساوي a أُس j يعني
+
+339
+00:36:31,630 --> 00:36:41,760
+if i لا يساوي jو ال I بين ال N و ال 0 و ال J بين
+
+340
+00:36:41,760 --> 00:36:48,320
+ال N و ال 0 المحصلة A أُس I and A أُس J are
+
+341
+00:36:48,320 --> 00:36:57,300
+distinct يعني هدولة كلهم مختلفين ولا واحد فيهم
+
+342
+00:36:57,300 --> 00:37:00,180
+بيساوي التاني now
+
+343
+00:37:02,790 --> 00:37:12,250
+إذا M أكبر أو يساوي الـ N أو M أصغر من الـ Zero ثم
+
+344
+00:37:12,250 --> 00:37:16,430
+بمعالجة
+
+345
+00:37:16,430 --> 00:37:21,590
+الـ Division الـ
+
+346
+00:37:21,590 --> 00:37:32,410
+M بدأ تساوي مثلا الـ Q شرط Nزاد R شرطة والـ R شرطة
+
+347
+00:37:32,410 --> 00:37:41,550
+بين الـ N و الـ 0 أي عدد غير هدول الـ 0,1,2,N,N-1
+
+348
+00:37:41,550 --> 00:37:48,250
+لما بدي أجسمه على الـ N هيدلر المين ضار بين مين؟
+
+349
+00:37:48,250 --> 00:37:55,810
+طيب ال A أُس M بدت ساوي A أُس Q شرطة N زاد R شرطة
+
+350
+00:37:55,810 --> 00:38:01,930
+A أُس N أُس Q شرطةفي ASR شرطة هذا بيساوي ال
+
+351
+00:38:01,930 --> 00:38:14,790
+identity في ASR شرطة ASR شرطة وهذا ينتمي يعني
+
+352
+00:38:14,790 --> 00:38:20,630
+بأي M أكبر من ال N أصغر من الصفر موجود هنا ولا مش
+
+353
+00:38:20,630 --> 00:38:26,070
+موجود هنايجب كل ال powers لل A اللي محصورين بين
+
+354
+00:38:26,070 --> 00:38:31,010
+الصفر و ال N-1 مختلفين و موجودين لكن ال powers
+
+355
+00:38:31,010 --> 00:38:37,090
+اللي جاب لل صفر و بعد ال N برضه مكررين بالسماء
+
+356
+00:38:37,090 --> 00:38:43,810
+الواق حدا من هدول النتيجة انه generated by A موجود
+
+357
+00:38:43,810 --> 00:38:44,630
+فيه بس هدول
+
+358
+00:38:49,050 --> 00:38:53,310
+طبعا لان انا عملت خطوتين اثبتت ان هدول موجودين و
+
+359
+00:38:53,310 --> 00:38:56,990
+اثبتت انه مش موجود غيرهم كيف اثبتت انهم موجودين
+
+360
+00:38:56,990 --> 00:39:02,450
+اثبتتهم distinct مختلفين مدام مختلفين مش مكررين و
+
+361
+00:39:02,450 --> 00:39:08,770
+بتالي كل واحد موجود بشخصه طبعا اللي غيرهم كل واحد
+
+362
+00:39:08,770 --> 00:39:15,210
+من ال powers اللي جابلي الصفر بعد الان موجود له
+
+363
+00:39:17,180 --> 00:39:23,000
+power مساوي في هذه المجموعة أو في السرد اللي موجود
+
+364
+00:39:23,000 --> 00:39:29,700
+قدامك وبالتالي بهذه الخطوة انا بكون انهيت النظرية
+
+365
+00:39:29,700 --> 00:39:36,700
+الاولى او نظرية 4-1 اي
+
+366
+00:39:36,700 --> 00:39:41,200
+سؤال اي
+
+367
+00:39:41,200 --> 00:39:41,980
+سؤال يا شباب
+
+368
+00:39:57,040 --> 00:40:06,240
+هنا؟ طيب اللي هي الجزء الأخير هذا هذا جزءين الجزء
+
+369
+00:40:06,240 --> 00:40:12,960
+الأول اللي هو المربع هذا الموجودين
+
+370
+00:40:12,960 --> 00:40:16,880
+مختلفين
+
+371
+00:40:16,880 --> 00:40:23,840
+يعني العناصر هذه أشملهامختلفة ماعدش بعدك تقول يا
+
+372
+00:40:23,840 --> 00:40:28,440
+عم ايه او السبعة او ايه او الستمانتاش زي بعض فانت
+
+373
+00:40:28,440 --> 00:40:33,440
+ليش حاططهم الخطوة التانية اللي المربع الأزرق
+
+374
+00:40:33,440 --> 00:40:41,400
+الواباقي
+
+375
+00:40:41,400 --> 00:40:51,200
+القوة مكررةماذا يعني؟ أي أُس آخر غير هدول موجود
+
+376
+00:40:51,200 --> 00:40:58,600
+لكناش بشكل تاني في two corollaries على هذه النظرية
+
+377
+00:40:58,600 --> 00:41:05,260
+corollary
+
+378
+00:41:05,260 --> 00:41:05,800
+واحد
+
+379
+00:41:15,560 --> 00:41:30,080
+إن order of a بيسوي order generated by a if
+
+380
+00:41:30,080 --> 00:41:33,120
+order
+
+381
+00:41:33,120 --> 00:41:37,720
+of a بيسوي infinity then order generated by a
+
+382
+00:41:37,720 --> 00:41:43,780
+عبارة عن order المجموعة هذه كده
+
+383
+00:41:43,780 --> 00:41:45,220
+عدد العناصر هنا يا شباب
+
+384
+00:41:48,100 --> 00:41:54,200
+final طيب لو كان order ال a بدي يساوي and then
+
+385
+00:41:54,200 --> 00:42:01,240
+order generated by a اللي هو ال order لل e a a
+
+386
+00:42:01,240 --> 00:42:05,320
+تربيه ل عند a and minus one كده عدد العناصر هنا
+
+387
+00:42:05,320 --> 00:42:13,280
+برضه and المحصرة ان order ال a بيساوي order
+
+388
+00:42:13,280 --> 00:42:15,720
+generated by a
+
+389
+00:42:30,400 --> 00:42:36,480
+caller 2 زمان
+
+390
+00:42:36,480 --> 00:42:44,920
+يا شباب لما كنا نشتغل على order
+
+391
+00:42:44,920 --> 00:42:50,480
+العنصر و نقول انه بيساوي n فأي power بيعطيك ان
+
+392
+00:42:50,480 --> 00:42:54,740
+العنصر بيساوي identity كنا نقول ان هذا ال power
+
+393
+00:42:54,740 --> 00:42:59,760
+أكبر من ال nهل جيت مش هنقول اكبر من الان هنقول ان
+
+394
+00:42:59,760 --> 00:43:04,760
+الان يقسمه هذا بذكرني في نظرية الاعداد لما شغلت
+
+395
+00:43:04,760 --> 00:43:07,940
+على الجريس common divisor في التعريف تبع الجريس
+
+396
+00:43:07,940 --> 00:43:13,760
+common divisor كان اي common divisor اخر الجريس
+
+397
+00:43:13,760 --> 00:43:18,280
+common divisor اكبر منه بعدين اصبح الجريس common
+
+398
+00:43:18,280 --> 00:43:25,720
+divisor مضاعف لهذا ال common divisor الاخر هنا نفس
+
+399
+00:43:25,720 --> 00:43:33,910
+الفكرةفإذا أردر الـ A هو N و A أُس K هو الـ
+
+400
+00:43:33,910 --> 00:43:43,770
+Identity فإن N يقسم الـ K إثبات سهل إذا
+
+401
+00:43:43,770 --> 00:43:50,250
+أردر ال A هو N و A أُس K هو الـ Identity فإن N
+
+402
+00:43:50,250 --> 00:43:51,510
+تقسم الـ K
+
+403
+00:43:57,750 --> 00:44:06,590
+كيف؟ النظرية مباشرة كمثال
+
+404
+00:44:06,590 --> 00:44:12,590
+سريع جامع من المحاضرة لو كان ال order لل A بدي
+
+405
+00:44:12,590 --> 00:44:18,390
+ساوي ستة ف generated by ال A عبارة عن ال identity
+
+406
+00:44:18,390 --> 00:44:25,930
+A A تربية A تكييب A أص أربعة A أص خمسةطبعا ليش
+
+407
+00:44:25,930 --> 00:44:31,810
+سموها Cyclic او زمر دوارة؟ هاي ال identity يا شباب
+
+408
+00:44:31,810 --> 00:44:41,800
+هان ال a هان ال a تربيه هان ال a تكيب ال a وص 4الـ
+
+409
+00:44:41,800 --> 00:44:47,240
+AOS 5 الـ Identity اللي هو AOS 6 بلف مرتين على AOS
+
+410
+00:44:47,240 --> 00:44:52,320
+7 الـ AOS 2 هو نفسه AOS 8 الـ AOS 3 عبارة عن الـ
+
+411
+00:44:52,320 --> 00:44:57,820
+AOS 9 الـ AOS 4 عبارة عن الـ AOS 10 و هكذا بتصير
+
+412
+00:44:57,820 --> 00:45:05,850
+القوة اشمالها بتلف في دائرةيعطيكوا العافية طبعا هي
+
+413
+00:45:05,850 --> 00:45:10,070
+كده احنا انهينا الجزء الاول في الوحدة الرابعة
+
+414
+00:45:10,070 --> 00:45:13,810
+وحاضرة جهة ان شاء الله هناخد الجزء التاني هناخد ال
+
+415
+00:45:13,810 --> 00:45:18,850
+fundamental theorem of cyclic groups يعطيكوا
+
+416
+00:45:18,850 --> 00:45:19,170
+العافية
+
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/KpzIv297Rbw_raw.json b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/KpzIv297Rbw_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..ef22bb9c712c5656969e4575006d19e20d48cbd0
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/KpzIv297Rbw_raw.json
@@ -0,0 +1 @@
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ال abelian و ال non abelian و كان عندي قسم ل groups لصنفين صنف abelian و صنف non abelian ال abelian نفسه بدنا نصنف فيه أيضا", "tokens": [41185, 8717, 45367, 6055, 7649, 1829, 16472, 1829, 8032, 9381, 1863, 5172, 2423, 1594, 11331, 35457, 18863, 42213, 10632, 8717, 36178, 11296, 39894, 5016, 4587, 4587, 13412, 2288, 9566, 11933, 11242, 31845, 1829, 49429, 5296, 10721, 30767, 1829, 3714, 9957, 2423, 410, 338, 952, 4032, 2423, 2107, 410, 338, 952, 4032, 25961, 18871, 16254, 12174, 38251, 5296, 3935, 5296, 9381, 1863, 5172, 9957, 20328, 1863, 5172, 410, 338, 952, 4032, 20328, 1863, 5172, 2107, 410, 338, 952, 2423, 410, 338, 952, 8717, 36178, 3224, 47525, 8315, 8717, 9381, 1863, 5172, 8978, 3224, 36632, 11242, 995], "avg_logprob": -0.15421549634387097, "compression_ratio": 1.7401129943502824, "no_speech_prob": 0.0, "words": [{"start": 152.13, "end": 152.37, "word": "في", "probability": 0.73388671875}, {"start": 152.37, "end": 152.65, "word": " نوع", "probability": 0.96728515625}, {"start": 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واحد يعني each element in z is a power of واحد and a power of سالب واحد", "tokens": [10721, 1829, 11242, 995, 2423, 7649, 39894, 2655, 3794, 995, 45865, 8608, 6027, 3555, 36764, 24401, 1975, 2407, 8608, 6027, 3555, 16472, 13672, 1829, 6225, 3555, 9640, 3660, 18871, 8608, 6027, 3555, 16472, 4724, 3794, 6027, 3555, 36764, 24401, 37495, 22653, 1184, 4478, 294, 710, 307, 257, 1347, 295, 36764, 24401, 293, 257, 1347, 295, 8608, 6027, 3555, 36764, 24401], "avg_logprob": -0.16585553767251188, "compression_ratio": 1.6614173228346456, "no_speech_prob": 0.0, "words": [{"start": 480.55, "end": 481.31, "word": "أيضا", "probability": 0.8135986328125}, {"start": 481.31, "end": 481.99, "word": " الان", "probability": 0.53173828125}, {"start": 481.99, "end": 482.83, "word": " بتتساوي", "probability": 0.830126953125}, {"start": 482.83, "end": 483.79, "word": " سالب", "probability": 0.774169921875}, {"start": 483.79, "end": 484.25, "word": " واحد", "probability": 0.98779296875}, {"start": 484.25, "end": 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ما احط عليها شروط اضافية فانا بتكلم عن Zn مع عملية عملية الجامعة modulo N طيب لو أخدنا مثلا", "tokens": [2670, 1176, 77, 293, 1176, 77, 307, 38154, 1050, 23032, 3555, 3615, 995, 1176, 77, 5296, 15042, 39894, 8315, 12610, 11296, 9154, 11778, 11536, 19446, 1975, 5016, 9566, 25894, 11296, 13412, 32887, 9566, 1975, 11242, 31845, 10632, 6156, 7649, 995, 39894, 4117, 19528, 18871, 1176, 77, 20449, 6225, 42213, 10632, 6225, 42213, 10632, 25724, 10943, 27884, 1072, 13455, 426, 23032, 1829, 3555, 45164, 5551, 9778, 3215, 8315, 50113, 15040], "avg_logprob": -0.1803571439215115, "compression_ratio": 1.4125, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 600.21, "end": 600.53, "word": "of", "probability": 0.2060546875}, {"start": 600.53, "end": 601.31, "word": " Zn", "probability": 0.538330078125}, {"start": 601.31, "end": 602.49, "word": " and", "probability": 0.70458984375}, {"start": 602.49, "end": 604.35, "word": " Zn", "probability": 0.90087890625}, {"start": 604.35, "end": 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بيقول ال UN قد تكون Cyclic و قد لا تكون Cyclic واضح", "tokens": [34, 88, 66, 1050, 32239, 14851, 10874, 32887, 3555, 4032, 5296, 7435, 32887, 3555, 29538, 10295, 66, 1050, 16247, 25513, 3615, 5551, 2304, 12984, 37977, 13672, 1829, 9122, 2655, 3555, 8315, 11296, 39894, 2407, 11242, 5016, 32239, 3224, 16472, 30767, 3215, 10295, 66, 1050, 30767, 3215, 426, 11778, 47302, 15042, 10295, 66, 1050, 5296, 10721, 1829, 426, 9673, 12984, 6027, 16712, 6027, 2655, 4032, 34892, 16758, 3615, 4724, 1829, 39648, 2423, 8229, 12174, 3215, 6055, 30544, 10295, 66, 1050, 4032, 12174, 3215, 20193, 6055, 30544, 10295, 66, 1050, 4032, 46958, 5016], "avg_logprob": -0.21807065023028332, "compression_ratio": 1.7305389221556886, "no_speech_prob": 1.9073486328125e-06, "words": [{"start": 766.5999999999999, "end": 767.56, "word": "Cyclic", "probability": 0.6761627197265625}, {"start": 767.56, "end": 768.52, "word": " ليست", "probability": 0.748046875}, {"start": 768.52, "end": 770.94, "word": " جروب", "probability": 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قدامك هنبدأ بعد هذا المثال في أولى نظريات الوحدة الرابعة theorem", "tokens": [2407, 46958, 5016, 13412, 3555, 16758, 22807, 23032, 3555, 3615, 995, 39896, 16247, 2304, 12984, 37977, 9673, 29245, 23328, 3660, 12174, 3215, 10943, 4117, 8032, 1863, 44510, 10721, 39182, 23758, 9673, 12984, 6027, 8978, 5551, 12610, 7578, 8717, 19913, 16572, 9307, 2423, 2407, 24401, 3660, 34892, 16758, 27884, 20904], "avg_logprob": -0.18703125208616256, "compression_ratio": 1.3511450381679388, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 797.2899999999998, "end": 798.6099999999999, "word": "واضح", "probability": 0.7962239583333334}, {"start": 798.6099999999999, "end": 799.93, "word": " شباب؟", "probability": 0.764892578125}, {"start": 799.93, "end": 804.11, "word": " طبعا", "probability": 0.788848876953125}, {"start": 804.11, "end": 804.21, "word": " هي", "probability": 0.50146484375}, {"start": 804.21, "end": 804.55, "word": " الأمثلة", "probability": 0.83026123046875}, {"start": 804.55, 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"probability": 0.7412109375}, {"start": 860.01, "end": 860.75, "word": " الدورة", "probability": 0.7255859375}, {"start": 860.75, "end": 861.85, "word": " لازم", "probability": 0.9814453125}, {"start": 861.85, "end": 862.09, "word": " انا", "probability": 0.97216796875}, {"start": 862.09, "end": 862.87, "word": " اتناول", "probability": 0.9625244140625}, {"start": 862.87, "end": 863.75, "word": " مسألة", "probability": 0.9562174479166666}, {"start": 863.75, "end": 864.69, "word": " وقتاش", "probability": 0.4911295572916667}, {"start": 864.69, "end": 865.41, "word": " two", "probability": 0.91455078125}, {"start": 865.41, "end": 866.21, "word": " powers", "probability": 0.896484375}, {"start": 866.21, "end": 867.59, "word": " لأنصر", "probability": 0.853759765625}, {"start": 867.59, "end": 867.87, "word": " ما", "probability": 0.8837890625}, {"start": 867.87, "end": 869.51, "word": " بيتساوى", "probability": 0.8531901041666666}], "temperature": 1.0}, {"id": 33, "seek": 89072, "start": 870.34, "end": 890.72, "text": "وقتاش بقول ان AI بتساوي AJ فأي group لو أخدت أي عنصر هذا قدامه خيارين يا إله infinite order يا إله finite order بدنا نتناول في حالة ال infinite order وقتاش", "tokens": [30543, 2655, 33599, 4724, 39648, 16472, 7318, 39894, 3794, 995, 45865, 32759, 6156, 10721, 1829, 1594, 45164, 5551, 9778, 3215, 2655, 36632, 18871, 9381, 2288, 23758, 12174, 3215, 10943, 3224, 16490, 1829, 9640, 9957, 35186, 11933, 43761, 13785, 1668, 35186, 11933, 43761, 19362, 1668, 47525, 8315, 8717, 2655, 8315, 12610, 8978, 11331, 6027, 3660, 2423, 13785, 1668, 4032, 38149, 33599], "avg_logprob": -0.25204917446511693, "compression_ratio": 1.4904458598726114, "no_speech_prob": 0.0, "words": [{"start": 870.34, "end": 870.76, "word": "وقتاش", "probability": 0.5084431966145834}, {"start": 870.76, "end": 871.18, "word": " بقول", "probability": 0.89453125}, {"start": 871.18, "end": 871.56, "word": " ان", "probability": 0.55615234375}, {"start": 871.56, "end": 872.08, "word": " AI", 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corollary واحد", "tokens": [2304, 45636, 995, 37495, 22653, 22807, 36632, 5551, 10859, 3794, 19753, 34740, 32771, 13546, 8032, 3215, 12610, 3714, 29245, 23328, 44381, 33599, 4724, 8592, 28820, 6055, 7649, 1829, 8978, 732, 1181, 1833, 4889, 15844, 29538, 28239, 19913, 2288, 10632, 1181, 1833, 822, 36764, 24401], "avg_logprob": -0.33854165342119, "compression_ratio": 1.1985294117647058, "no_speech_prob": 0.0, "words": [{"start": 2446.92, "end": 2447.22, "word": "ماذا", "probability": 0.5984700520833334}, {"start": 2447.22, "end": 2447.9, "word": " يعني؟", "probability": 0.8548177083333334}, {"start": 2447.9, "end": 2448.38, "word": " أي", "probability": 0.51904296875}, {"start": 2448.38, "end": 2448.7, "word": " أُس", "probability": 0.552734375}, {"start": 2448.7, "end": 2449.12, "word": " آخر", "probability": 0.86328125}, {"start": 2449.12, "end": 2449.38, "word": " غير", "probability": 0.96875}, {"start": 2449.38, "end": 2449.86, "word": " هدول", "probability": 0.7205403645833334}, 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2665.37, "end": 2680.11, "text": "طبعا ليش سموها Cyclic او زمر دوارة؟ هاي ال identity يا شباب هان ال a هان ال a تربيه هان ال a تكيب ال a وص 4", "tokens": [9566, 3555, 3615, 995, 32239, 8592, 8608, 2304, 2407, 11296, 10295, 66, 1050, 1975, 2407, 30767, 29973, 11778, 2407, 9640, 3660, 22807, 8032, 47302, 2423, 6575, 35186, 13412, 3555, 16758, 8032, 7649, 2423, 257, 8032, 7649, 2423, 257, 6055, 2288, 21292, 3224, 8032, 7649, 2423, 257, 6055, 4117, 1829, 3555, 2423, 257, 4032, 9381, 1017], "avg_logprob": -0.29045759035008295, "compression_ratio": 1.3852459016393444, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2665.37, "end": 2665.77, "word": "طبعا", "probability": 0.744384765625}, {"start": 2665.77, "end": 2665.93, "word": " ليش", "probability": 0.91796875}, {"start": 2665.93, "end": 2666.53, "word": " سموها", "probability": 0.843017578125}, {"start": 2666.53, "end": 2667.73, "word": " Cyclic", "probability": 0.7300618489583334}, {"start": 2667.73, "end": 2668.27, "word": 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"probability": 0.9921875}, {"start": 2674.89, "end": 2675.05, "word": " a", "probability": 0.96240234375}, {"start": 2675.05, "end": 2675.81, "word": " تربيه", "probability": 0.751220703125}, {"start": 2675.81, "end": 2676.97, "word": " هان", "probability": 0.871826171875}, {"start": 2676.97, "end": 2677.13, "word": " ال", "probability": 0.99365234375}, {"start": 2677.13, "end": 2677.33, "word": " a", "probability": 0.99365234375}, {"start": 2677.33, "end": 2678.07, "word": " تكيب", "probability": 0.9249267578125}, {"start": 2678.07, "end": 2679.33, "word": " ال", "probability": 0.8916015625}, {"start": 2679.33, "end": 2679.61, "word": " a", "probability": 0.93994140625}, {"start": 2679.61, "end": 2679.77, "word": " وص", "probability": 0.4837646484375}, {"start": 2679.77, "end": 2680.11, "word": " 4", "probability": 0.59521484375}], "temperature": 1.0}, {"id": 99, "seek": 270292, "start": 2681.42, "end": 2702.92, "text": "الـ AOS 5 الـ Identity اللي هو AOS 6 بلف مرتين على AOS 7 الـ AOS 2 هو نفسه AOS 8 الـ AOS 3 عبارة عن الـ AOS 9 الـ AOS 4 عبارة عن الـ AOS 10 و هكذا بتصير القوة اشمالها بتلف في دائرة", "tokens": [6027, 39184, 316, 4367, 1025, 2423, 39184, 25905, 507, 13672, 1829, 31439, 316, 4367, 1386, 4724, 46538, 3714, 43500, 9957, 15844, 316, 4367, 1614, 2423, 39184, 316, 4367, 568, 31439, 8717, 36178, 3224, 316, 4367, 1649, 2423, 39184, 316, 4367, 805, 6225, 3555, 9640, 3660, 18871, 2423, 39184, 316, 4367, 1722, 2423, 39184, 316, 4367, 1017, 6225, 3555, 9640, 3660, 18871, 2423, 39184, 316, 4367, 1266, 4032, 8032, 4117, 15730, 39894, 9381, 13546, 25062, 2407, 3660, 1975, 8592, 2304, 6027, 11296, 39894, 46538, 8978, 11778, 16373, 25720], "avg_logprob": -0.13911576264283873, "compression_ratio": 1.7151898734177216, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2681.42, "end": 2681.8, "word": "الـ", "probability": 0.58349609375}, {"start": 2681.8, "end": 2682.08, "word": " AOS", "probability": 0.5953369140625}, {"start": 2682.08, "end": 2682.46, "word": " 5", "probability": 0.5322265625}, {"start": 2682.46, "end": 2683.46, "word": " الـ", "probability": 0.67041015625}, {"start": 2683.46, "end": 2683.98, "word": " Identity", "probability": 0.6953125}, {"start": 2683.98, "end": 2684.1, "word": " اللي", "probability": 0.783935546875}, {"start": 2684.1, "end": 2684.2, "word": " هو", "probability": 0.95654296875}, {"start": 2684.2, "end": 2684.58, "word": " AOS", "probability": 0.865966796875}, {"start": 2684.58, "end": 2685.02, "word": " 6", "probability": 0.94189453125}, {"start": 2685.02, "end": 2686.1, "word": " بلف", "probability": 0.848876953125}, {"start": 2686.1, "end": 2686.66, "word": " مرتين", "probability": 0.8707682291666666}, {"start": 2686.66, "end": 2686.86, "word": " على", "probability": 0.70166015625}, {"start": 2686.86, "end": 2687.24, "word": " AOS", "probability": 0.966796875}, {"start": 2687.24, "end": 2687.64, "word": " 7", "probability": 0.94921875}, {"start": 2687.64, "end": 2688.34, "word": " الـ", "probability": 0.856689453125}, {"start": 2688.34, "end": 2688.58, "word": " AOS", "probability": 0.958740234375}, {"start": 2688.58, "end": 2688.84, "word": " 2", "probability": 0.9375}, {"start": 2688.84, "end": 2689.12, "word": " هو", "probability": 0.96728515625}, {"start": 2689.12, "end": 2689.56, "word": " نفسه", "probability": 0.9894205729166666}, {"start": 2689.56, "end": 2689.86, "word": " AOS", "probability": 0.9443359375}, {"start": 2689.86, "end": 2690.28, "word": " 8", "probability": 0.97412109375}, {"start": 2690.28, "end": 2691.0, "word": " الـ", "probability": 0.961181640625}, {"start": 2691.0, "end": 2691.22, "word": " AOS", "probability": 0.960205078125}, {"start": 2691.22, "end": 2691.52, "word": " 3", "probability": 0.9384765625}, {"start": 2691.52, "end": 2691.94, "word": " عبارة", "probability": 0.99609375}, {"start": 2691.94, "end": 2692.14, "word": " عن", "probability": 0.994140625}, {"start": 2692.14, "end": 2692.32, "word": " الـ", "probability": 0.98193359375}, {"start": 2692.32, "end": 2692.62, "word": " AOS", "probability": 0.96826171875}, {"start": 2692.62, "end": 2693.04, "word": " 9", "probability": 0.98388671875}, {"start": 2693.04, "end": 2693.72, "word": " الـ", "probability": 0.973876953125}, {"start": 2693.72, "end": 2693.98, "word": " AOS", "probability": 0.962646484375}, {"start": 2693.98, "end": 2694.32, "word": " 4", "probability": 0.984375}, {"start": 2694.32, "end": 2694.68, "word": " عبارة", "probability": 0.99755859375}, {"start": 2694.68, "end": 2694.88, "word": " عن", "probability": 0.99267578125}, {"start": 2694.88, "end": 2695.06, "word": " الـ", "probability": 0.98828125}, {"start": 2695.06, "end": 2695.34, "word": " AOS", "probability": 0.966064453125}, {"start": 2695.34, "end": 2695.82, "word": " 10", "probability": 0.94970703125}, {"start": 2695.82, "end": 2696.28, "word": " و", "probability": 0.64208984375}, {"start": 2696.28, "end": 2696.74, "word": " هكذا", "probability": 0.7859700520833334}, {"start": 2696.74, "end": 2697.82, "word": " بتصير", "probability": 0.7737630208333334}, {"start": 2697.82, "end": 2698.98, "word": " القوة", "probability": 0.990234375}, {"start": 2698.98, "end": 2700.02, "word": " اشمالها", "probability": 0.8322265625}, {"start": 2700.02, "end": 2701.84, "word": " بتلف", "probability": 0.8603515625}, {"start": 2701.84, "end": 2702.52, "word": " في", "probability": 0.8134765625}, {"start": 2702.52, "end": 2702.92, "word": " دائرة", "probability": 0.9588216145833334}], "temperature": 1.0}, {"id": 100, "seek": 271917, "start": 2704.13, "end": 2719.17, "text": "يعطيكوا العافية طبعا هي كده احنا انهينا الجزء الاول في الوحدة الرابعة وحاضرة جهة ان شاء الله هناخد الجزء التاني هناخد ال fundamental theorem of cyclic groups يعطيكوا العافية", "tokens": [40228, 9566, 1829, 4117, 14407, 18863, 31845, 10632, 23032, 3555, 3615, 995, 39896, 9122, 3215, 3224, 1975, 5016, 8315, 16472, 3224, 1829, 8315, 25724, 11622, 38207, 42963, 12610, 8978, 2423, 2407, 24401, 3660, 34892, 16758, 27884, 4032, 5016, 46958, 25720, 10874, 3224, 3660, 16472, 13412, 16606, 21984, 8032, 1863, 47283, 3215, 25724, 11622, 38207, 16712, 7649, 1829, 8032, 1863, 47283, 3215, 2423, 8088, 20904, 295, 38154, 1050, 3935, 37495, 9566, 1829, 4117, 14407, 18863, 31845, 10632], "avg_logprob": -0.18922484385502802, "compression_ratio": 1.6627906976744187, "no_speech_prob": 9.655952453613281e-06, "words": [{"start": 2704.13, "end": 2704.57, "word": "يعطيكوا", "probability": 0.7199462890625}, {"start": 2704.57, "end": 2705.01, "word": " العافية", "probability": 0.7228190104166666}, {"start": 2705.01, "end": 2705.77, "word": " طبعا", "probability": 0.826904296875}, {"start": 2705.77, "end": 2705.85, "word": " هي", "probability": 0.86572265625}, {"start": 2705.85, "end": 2706.01, "word": " كده", "probability": 0.9423828125}, {"start": 2706.01, "end": 2706.19, "word": " احنا", "probability": 0.8489583333333334}, {"start": 2706.19, "end": 2706.63, "word": " انهينا", "probability": 0.86865234375}, {"start": 2706.63, "end": 2707.49, "word": " الجزء", "probability": 0.9215494791666666}, {"start": 2707.49, "end": 2708.25, "word": " الاول", "probability": 0.858154296875}, {"start": 2708.25, "end": 2708.77, "word": " في", "probability": 0.95751953125}, {"start": 2708.77, "end": 2709.47, "word": " الوحدة", "probability": 0.9432373046875}, {"start": 2709.47, "end": 2710.07, "word": " الرابعة", "probability": 0.9471028645833334}, {"start": 2710.07, "end": 2710.77, "word": " وحاضرة", "probability": 0.51409912109375}, {"start": 2710.77, "end": 2710.99, "word": " جهة", "probability": 0.80712890625}, {"start": 2710.99, "end": 2711.05, "word": " ان", "probability": 0.91650390625}, {"start": 2711.05, "end": 2711.17, "word": " شاء", "probability": 0.94287109375}, {"start": 2711.17, "end": 2711.23, "word": " الله", "probability": 0.923828125}, {"start": 2711.23, "end": 2711.77, "word": " هناخد", "probability": 0.87255859375}, {"start": 2711.77, "end": 2712.71, "word": " الجزء", "probability": 0.9109700520833334}, {"start": 2712.71, "end": 2713.25, "word": " التاني", "probability": 0.88232421875}, {"start": 2713.25, "end": 2713.71, "word": " هناخد", "probability": 0.96630859375}, {"start": 2713.71, "end": 2713.81, "word": " ال", "probability": 0.75146484375}, {"start": 2713.81, "end": 2714.19, "word": " fundamental", "probability": 0.67431640625}, {"start": 2714.19, "end": 2714.99, "word": " theorem", "probability": 0.8359375}, {"start": 2714.99, "end": 2715.79, "word": " of", "probability": 0.97607421875}, {"start": 2715.79, "end": 2716.95, "word": " cyclic", "probability": 0.881591796875}, {"start": 2716.95, "end": 2718.17, "word": " groups", "probability": 0.828125}, {"start": 2718.17, "end": 2718.85, "word": " يعطيكوا", "probability": 0.96220703125}, {"start": 2718.85, "end": 2719.17, "word": " العافية", "probability": 0.9641927083333334}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2721.193, "duration_after_vad": 2506.4037499999904}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/PXZxPZyPNPE_postprocess.srt b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/PXZxPZyPNPE_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..6f5fd0be99e59fdd2f0127121168eda29a299aeb
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/PXZxPZyPNPE_postprocess.srt
@@ -0,0 +1,1788 @@
+1
+00:00:22,310 --> 00:00:26,410
+بسم الله الرحمن الرحيم بدأنا المرة الماضية في
+
+2
+00:00:26,410 --> 00:00:31,130
+موضوع ال groups اللي هي المجموعات وعرفنا ان ال set
+
+3
+00:00:31,130 --> 00:00:34,990
+و عليها binary operation بقول عنها group إذا
+
+4
+00:00:34,990 --> 00:00:39,190
+حققتلي ثلاث خاص الخاصية الأولى خاصية ال
+
+5
+00:00:39,190 --> 00:00:43,650
+associativity الخاصية الثانية خاصية ال identity
+
+6
+00:00:43,650 --> 00:00:47,350
+element الخاصية التالتة هي خاصية ال inverse
+
+7
+00:00:47,350 --> 00:00:53,380
+element لأي element موجود في group Gواخدنا على ذلك
+
+8
+00:00:53,380 --> 00:00:59,440
+بدل المثال أربع وهذا هو المثال رقم خمسة يبقى الـ
+
+9
+00:00:59,440 --> 00:01:04,380
+ZN هي عبارة عن المجموع العناصرها Zero واحد اتنين
+
+10
+00:01:04,380 --> 00:01:10,720
+تلاتة لغاية N ناقص واحد العملية المعرفة عليها اللي
+
+11
+00:01:10,720 --> 00:01:17,560
+هي ال addition modulo Nيبقى العملية اللى على z n
+
+12
+00:01:17,560 --> 00:01:25,440
+هي عملية الجمع العادية بس ايش كل ما يصير n بنهملهم
+
+13
+00:01:25,440 --> 00:01:30,460
+يعني المقياس تبعه هو m هذه عبارة عن ايش عبارة عن
+
+14
+00:01:30,460 --> 00:01:35,440
+group under addition ليش ال a اللى من zero لغاية n
+
+15
+00:01:35,440 --> 00:01:40,180
+ناقص واحدة كلها أعداد عادية بس modulo n ما زاد على
+
+16
+00:01:40,180 --> 00:01:45,140
+ال n ناقص واحد اللى هو n ببدأ من zeroإذا زاد واحد
+
+17
+00:01:45,140 --> 00:01:48,820
+يبدأ واحد وإذا زاد اتنين يصبح اتنين وكذلك يبقى انا
+
+18
+00:01:48,820 --> 00:01:51,940
+عند الاعداد هذه هذه الاعداد لو جمعتها واحد زاد
+
+19
+00:01:51,940 --> 00:01:55,840
+اتنين اتنين زاد واحد اي رقم ان اجمعه بدل ماعناش
+
+20
+00:01:55,840 --> 00:02:01,280
+مشكلة في هذه الحالة اتنين لو جمعت اي عددين يعني
+
+21
+00:02:01,280 --> 00:02:06,160
+هذه ال group a billion لو جمعت اي عددين هيعطيك عدد
+
+22
+00:02:06,160 --> 00:02:14,750
+موجود في هذه الصدرطيب النقطة الثانية لو عملت
+
+23
+00:02:14,750 --> 00:02:19,270
+associative بين أي ثلاثة أعداد منهم فهيطلع نفس
+
+24
+00:02:19,270 --> 00:02:23,770
+العدد مشكلتنا مش هذا مشكلتنا من هو ال identity
+
+25
+00:02:23,770 --> 00:02:28,530
+element تحت عملية الجماعة؟ من؟
+
+26
+00:02:31,650 --> 00:02:36,090
+بدي معكوس أي عنصر موجود فيها
+
+27
+00:02:39,720 --> 00:02:45,260
+هذه بعض الكتب يا شباب بتعبّر عنها ZN هكذا وبتحط
+
+28
+00:02:45,260 --> 00:02:50,680
+لعملية جامع وفي دائرة من حد ما تشوف عملية جامع في
+
+29
+00:02:50,680 --> 00:02:55,280
+دائرة معناته هذه عملية الجامع موديله N مشان
+
+30
+00:02:55,280 --> 00:02:59,700
+يفرجوها ويميزوا بينها و بين عملية الجامع العادية
+
+31
+00:02:59,700 --> 00:03:06,440
+يبقى هنا Zero is the identity
+
+32
+00:03:11,970 --> 00:03:24,010
+the inverse of k الموجود في z in z يعني مين العدد
+
+33
+00:03:24,010 --> 00:03:29,690
+اللى بدي اضيفه لهذا العدد يطلع zero او يطلع in
+
+34
+00:03:29,690 --> 00:03:37,160
+الهمين in minus ال kيبقى the inverse of k المن is
+
+35
+00:03:37,160 --> 00:03:42,080
+n minus الk لإن احنا عندنا عملية جمعة modulo n لو
+
+36
+00:03:42,080 --> 00:03:46,260
+جمعته اتنين هدول بيطلع in اهم ال in بيصير ال zero
+
+37
+00:03:46,260 --> 00:03:51,360
+اللي همين ال identity element طيب هذه جروب بسيطة و
+
+38
+00:03:51,360 --> 00:03:55,660
+زي ما تشوف هي abelian لإنه اتنين زياد خمسة هي خمسة
+
+39
+00:03:55,660 --> 00:04:02,180
+زياد اتنين و هكذاطيب نروح لمثال أتقل شوية و أتقل
+
+40
+00:04:02,180 --> 00:04:14,520
+شويات مش شوية بيقول let ال UN be the set of all
+
+41
+00:04:14,520 --> 00:04:23,500
+positive integers
+
+42
+00:04:23,500 --> 00:04:25,220
+less than
+
+43
+00:04:27,620 --> 00:04:40,840
+less than ال N less than ال N and relatively prime
+
+44
+00:04:40,840 --> 00:04:49,100
+relatively prime to N then
+
+45
+00:04:49,100 --> 00:05:02,620
+ال U N هذه ال U Nand the situ in is an
+
+46
+00:05:02,620 --> 00:05:11,000
+abelian group under
+
+47
+00:05:11,000 --> 00:05:12,780
+multiplication modulo n
+
+48
+00:05:46,170 --> 00:05:55,400
+بسبب نرجع للست UN هذه مين هي ال UN؟بقول ال U N هي
+
+49
+00:05:55,400 --> 00:05:59,700
+set of all positive integers مجموعة الأعداد
+
+50
+00:05:59,700 --> 00:06:05,620
+الصحيحة المجمة واللي عليها شرط تاني less than N
+
+51
+00:06:05,620 --> 00:06:12,160
+يبقى أقل من العدد N وفي نفس الوقت relatively prime
+
+52
+00:06:12,160 --> 00:06:18,500
+مع N طب وقف شوية خلينا نعرف مين هذه الأرقام لو جيت
+
+53
+00:06:18,500 --> 00:06:25,220
+قلتلك بدي ال U خمسةبس الواحد والتلاتة طب والاربعة
+
+54
+00:06:25,220 --> 00:06:33,220
+والاتنين يبقى الاعداد كلهم واحد اتنين تلاتة اربعة
+
+55
+00:06:33,220 --> 00:06:38,180
+كلهم are relatively prime to خمسة يبقى هذي mainly
+
+56
+00:06:38,180 --> 00:06:42,960
+وخمسة لكن لو قلت you ستة you ستة اللي هي واحد
+
+57
+00:06:42,960 --> 00:06:47,580
+وخمسة في غيرهم بس هدول هم اللي relatively prime ل
+
+58
+00:06:47,580 --> 00:06:53,270
+you ستة لو قلتلك you عشرة لك تقول الواحدوالثلاثة
+
+59
+00:06:53,270 --> 00:06:58,870
+والسبعة والتسعة مش غيرهم يبقى هي ال U خمسة الأعداد
+
+60
+00:06:58,870 --> 00:07:03,130
+اللي أقل من الرقم المعطو اللي بيكون relatively
+
+61
+00:07:03,130 --> 00:07:09,990
+prime لهذا الرقم مثلا لو جت ليه خمستاش يبقى الواحد
+
+62
+00:07:09,990 --> 00:07:15,010
+والاتنين والاربعة والسبعة
+
+63
+00:07:16,510 --> 00:07:22,530
+والتمنية تسعة لأ العشر لأ احداش اتناش لأ التلتاش
+
+64
+00:07:22,530 --> 00:07:25,870
+لأ اربعتاش لأ يبقى لغاية تمين لغاية التلتاش وها
+
+65
+00:07:25,870 --> 00:07:30,730
+كده يبقى بجيب الأرقام اللي أقل من الرقم الموطن
+
+66
+00:07:30,730 --> 00:07:34,390
+واللي بيكون relatively prime لهذا الرقم وكلهم
+
+67
+00:07:34,390 --> 00:07:39,210
+أرقام صحيحة موجبة هاي المقصود باليونين يبقى هذه
+
+68
+00:07:39,210 --> 00:07:44,400
+الست يو ام مين ال operation اللي عليهاGallery in
+
+69
+00:07:44,400 --> 00:07:49,040
+the UN is an ability group under multiplication
+
+70
+00:07:49,040 --> 00:07:56,160
+modulo M يبقى العملية عالمية ضرب modulo N يعني
+
+71
+00:07:56,160 --> 00:08:01,280
+المقياس تبعها هو مين هو N أول شيء بدنا نثبت إنه
+
+72
+00:08:01,280 --> 00:08:07,920
+هذي group طيب ال group هذي بدي لسه ما قلتش إنه هذي
+
+73
+00:08:07,920 --> 00:08:14,220
+binary operationاندر مالتفليكيشن موديلو ان هل هذه
+
+74
+00:08:14,220 --> 00:08:19,440
+binary operation على ال UN ام لا لم نقول ذلك لكن
+
+75
+00:08:19,440 --> 00:08:26,280
+انا بدي اخد عددين واضربهم في بعض واشوفهل اتنين
+
+76
+00:08:26,280 --> 00:08:31,940
+هدول modulo N بيكونوا .. ان كان طلع ال remainder
+
+77
+00:08:31,940 --> 00:08:36,860
+تبعهم موجود في ال UN بيكون تم المطلوب؟ ان ما طلعش
+
+78
+00:08:36,860 --> 00:08:41,880
+بصير كلامنا مش صحيح وفيش داعي اروح لبقية الشروط
+
+79
+00:08:41,880 --> 00:08:46,360
+تمامإذا خلّيني أشوف ال condition الأول النقطة
+
+80
+00:08:46,360 --> 00:08:51,480
+الأولى بدي أثبت إنه هذه binary operation لذلك بدي
+
+81
+00:08:51,480 --> 00:08:58,700
+أقوله افترض إن ال A و ال B موجودة في ال UN إيش بدي
+
+82
+00:08:58,700 --> 00:09:03,620
+أثبت إنها binary operation بدي أثبت إن ال A B
+
+83
+00:09:03,620 --> 00:09:08,520
+modulo N موجود وين؟ موجود في ال UN هذا اللي عايز
+
+84
+00:09:08,520 --> 00:09:11,720
+أثبته فبكويس بقوله then
+
+85
+00:09:14,480 --> 00:09:19,740
+مرت علينا ال division algorithm احنا صح؟ division
+
+86
+00:09:19,740 --> 00:09:25,080
+algorithm ومر علينا ل grasses common divisor يبقى
+
+87
+00:09:25,080 --> 00:09:29,140
+انا بروح بختار المناسب اللي بيخدمني في هذه الحالة
+
+88
+00:09:29,410 --> 00:09:34,290
+لو جيها تقولش لك ال grace is common divisor ل ال a
+
+89
+00:09:34,290 --> 00:09:40,090
+و ال n قداش بتقول ايه؟ واحد ليش؟ لأن ال elements
+
+90
+00:09:40,090 --> 00:09:45,870
+اللي موجودة are relatively prime to m يبقى and و
+
+91
+00:09:45,870 --> 00:09:49,910
+في نفس الوقت ال grace is common divisor ل ال b و
+
+92
+00:09:49,910 --> 00:09:55,830
+ال n بتسوي قداش؟إذاً كل واحدة منهم بقدر اكتبها على
+
+93
+00:09:55,830 --> 00:10:03,030
+صيغة linear combination يبقى باجي بقول AS1 زائد
+
+94
+00:10:03,030 --> 00:10:15,640
+NT1 بدل ساوية واحدالـ B S2 زائد ال N T2 بده يساوي
+
+95
+00:10:15,640 --> 00:10:26,580
+1 وهذا for some اللي هو S1 و S2 و T1 و T2 كلها
+
+96
+00:10:26,580 --> 00:10:29,880
+اللي موجودة وين؟ في ال 6 of integers
+
+97
+00:10:32,880 --> 00:10:38,280
+طب انا بدي حصل الضرب a في b modulo n يكون موجودة
+
+98
+00:10:38,280 --> 00:10:42,900
+في ال UN مشان هيك خليني اروح اضربهم في بعض و اشوف
+
+99
+00:10:42,900 --> 00:10:47,860
+كده يكون الناتج اللي عندنا اذا لو جيت اضربهم في
+
+100
+00:10:47,860 --> 00:10:54,400
+بعض فبجي بقول a s one زائد n t one
+
+101
+00:10:57,930 --> 00:11:05,290
+بس2 زائد ال N يساوي واحد في واحد اللي هو واحدطبعا
+
+102
+00:11:05,290 --> 00:11:08,370
+يبقى ضرب في الطرف الشمال في الشمال واليمين في
+
+103
+00:11:08,370 --> 00:11:14,110
+اليمين تعالى فى كحاصل ضرب القوسين هدول يبقى هذا a
+
+104
+00:11:14,110 --> 00:11:20,570
+b s one s two زائد ال element هذا ضربته هنا إذا
+
+105
+00:11:20,570 --> 00:11:27,650
+بدى ضربه في التاني هذا يبقى زائد n a s one t two
+
+106
+00:11:27,650 --> 00:11:36,460
+زائد بدي أضرب هذا هنايبقى زائد n في main في T1 في
+
+107
+00:11:36,460 --> 00:11:45,780
+B في ال S2 زائد في التاني يبقى N تربيع T1 T2 كله
+
+108
+00:11:45,780 --> 00:11:52,040
+بده يسوى واحد صحيح اظن هذا في hash N خليها لحالها
+
+109
+00:11:52,390 --> 00:11:58,730
+يبقى هذا ال a b في ال s one s two زاد شو رايك هدول
+
+110
+00:11:58,730 --> 00:12:04,490
+بدي أخد منهم ان عامل مشترك ايه شو بيظل عندك a s
+
+111
+00:12:04,490 --> 00:12:13,930
+one t two زائد t one b s two زائد n t one t two
+
+112
+00:12:13,930 --> 00:12:20,810
+كله بدي يساوي واحدإيش تفسيرك لهذه العبارة؟ طلع أنا
+
+113
+00:12:20,810 --> 00:12:25,270
+عندي هنا رقم و هنا inيبقى ال a,b و ال n are
+
+114
+00:12:25,270 --> 00:12:28,990
+relatively prime ولا لا او لجريسس common divisor
+
+115
+00:12:28,990 --> 00:12:34,390
+لهم بدي يساوي واحد يبقى هذا معناته ان الجريسس
+
+116
+00:12:34,390 --> 00:12:40,290
+common divisor لل a و ال b و ال n بدي يساوي الواحد
+
+117
+00:12:40,290 --> 00:12:50,050
+هذا بدي يعطيلك ان ال a,b and ال n are relatively
+
+118
+00:12:50,050 --> 00:12:57,000
+primeهذا شو معناه يا شباب هذا معناه ان ال a و b
+
+119
+00:12:57,000 --> 00:13:04,440
+موجودين في ال un يعني عملية ضرب modulo n is a
+
+120
+00:13:04,440 --> 00:13:10,080
+binary operation يبقى هذا معناته ان ال multi
+
+121
+00:13:10,080 --> 00:13:18,900
+application modulo n is
+
+122
+00:13:18,900 --> 00:13:21,100
+a binary
+
+123
+00:13:26,380 --> 00:13:31,700
+Operation بدنا نيجي للنقطة التانية النقطة التانية
+
+124
+00:13:31,700 --> 00:13:38,200
+بدي أخليها عليك تمرني دك فيها في الدعري check that
+
+125
+00:13:38,200 --> 00:13:47,540
+this operation is associative
+
+126
+00:13:50,690 --> 00:13:57,810
+on الـ UN يعني وكذبت لي أنه إيه في B في C بده
+
+127
+00:13:57,810 --> 00:14:04,130
+يساوي إيه لحالها مضروبة في B وC النقطة التالتة مين
+
+128
+00:14:04,130 --> 00:14:10,930
+ال identity element لهذه ال group واحد يبقى واحد
+
+129
+00:14:10,930 --> 00:14:17,010
+is the identity element
+
+130
+00:14:19,980 --> 00:14:26,980
+شو السبب ان لو ضاربته في a modulo n بطلع ال a
+
+131
+00:14:26,980 --> 00:14:38,860
+itself يبقى هذا because واحد في a modulo n بدر
+
+132
+00:14:38,860 --> 00:14:46,240
+يساوي ال a modulo n اللي بدر يساوي ال a itself لكل
+
+133
+00:14:46,240 --> 00:14:48,680
+ال a الموجودة في ال UN
+
+134
+00:14:51,590 --> 00:15:00,510
+طب النقطة الرابعة بد ال inverse the inverse of ايه
+
+135
+00:15:00,510 --> 00:15:07,130
+اللي موجود في ال U N is N
+
+136
+00:15:07,130 --> 00:15:13,070
+مين قال هذا الكلام يعني لما اقول N زائد واحد على N
+
+137
+00:15:13,070 --> 00:15:19,130
+كله مجسوم على N مش هيك على ايه طب هل هذا انتجة
+
+138
+00:15:22,690 --> 00:15:27,290
+طب كيف بده يصير عادي؟ برا ال z ده ده يعني مو صبطتش
+
+139
+00:15:27,290 --> 00:15:31,750
+معاناة أو برا ال UN صحيح؟ يبقى هذا الكلام ليس
+
+140
+00:15:31,750 --> 00:15:37,230
+صحيحا يبقى لو جيه تقولك the inverse of L is X
+
+141
+00:15:37,230 --> 00:15:43,070
+where X
+
+142
+00:15:43,070 --> 00:15:56,700
+is the solution of the equationهو حل المعادلة ax
+
+143
+00:15:56,700 --> 00:16:04,260
+modulo n بده يساوي مين؟ بده يساوي واحد لأن هذا
+
+144
+00:16:04,260 --> 00:16:10,160
+الواحد هو ال identity element يبقى حل المعادلة هذه
+
+145
+00:16:10,160 --> 00:16:15,620
+طبعا هذا بيعتمد على ال a من هي وعلى ال n من هي إذا
+
+146
+00:16:15,620 --> 00:16:20,390
+عرفت ال n وعرفت ال a بقدر أجيب له ال x بسهولةو هذه
+
+147
+00:16:20,390 --> 00:16:24,210
+القصة بصير سهلة يبقى هذه صارت appealing group
+
+148
+00:16:24,210 --> 00:16:29,490
+لانها حققت لمن؟ حققت للاربعة شروط يبقى لو اعطيتك
+
+149
+00:16:29,490 --> 00:16:34,970
+مثال for example تفضل
+
+150
+00:16:34,970 --> 00:16:35,330
+قول
+
+151
+00:16:39,840 --> 00:16:44,360
+أحنا اللي بنقولك الحل تبع هذه المعادلة بيكون هو
+
+152
+00:16:44,360 --> 00:16:50,200
+المعكوس تبع الـA وهذا يختلف من عنصر إلى آخر قد
+
+153
+00:16:50,200 --> 00:16:57,260
+يكون الـA معكوس لنفسه وقد يكون معكوس آخر كما سأريك
+
+154
+00:16:57,260 --> 00:17:02,200
+الآن إن كانت هذه ال group لازم غصب عن و عن ما اسمك
+
+155
+00:17:02,200 --> 00:17:09,400
+أنت ماهر ماهر ايه خريسغصب إن هو عنده مهر يخلص لازم
+
+156
+00:17:09,400 --> 00:17:12,940
+يجي معكوس لهذا الالمطور اللي بس بطل يصير group
+
+157
+00:17:12,940 --> 00:17:17,840
+تمام؟ يبقى ال group لازم كل عنصر في ال group اللي
+
+158
+00:17:17,840 --> 00:17:22,800
+جيه له معكوس طيب يبقى هو حالة نعطي مثال توضح لو
+
+159
+00:17:22,800 --> 00:17:27,920
+أخدت you اللي بدك إياها مش ممكن تدحك أنت you إيش
+
+160
+00:17:27,920 --> 00:17:35,280
+بدك إياها؟ you خمسة دي كم رشد؟ you عشر مثلا، you
+
+161
+00:17:35,280 --> 00:17:44,420
+عشرةعشريش عناصرها الواحد والاتنين التلاتة
+
+162
+00:17:44,420 --> 00:17:54,460
+أربعة خمسة ستة سبعة تمانية تسعة يبقى ماعنديش إلا
+
+163
+00:17:54,460 --> 00:18:01,250
+هذه العناصر تمام الواحد هو ال identity elementيبقى
+
+164
+00:18:01,250 --> 00:18:07,290
+احنا كله modulo عشرة بدي اشوف التلاتة مين معكوسها
+
+165
+00:18:07,290 --> 00:18:12,750
+ماهو العدد اللي بدي اضره في التلاتة modulo عشرة
+
+166
+00:18:12,750 --> 00:18:18,310
+يعطينا الواحد الصحيح مين؟ السبعة سبعة في تلاتة
+
+167
+00:18:18,310 --> 00:18:22,670
+واحد عشرين شيل منهم عشرتينيبقى الـ identity
+
+168
+00:18:22,670 --> 00:18:27,090
+element يبقى التلاتة هو معكوس السبعة والسبعة هي
+
+169
+00:18:27,090 --> 00:18:34,070
+معكوس من الادلي والتلاتة يبقى التلاتة is the
+
+170
+00:18:34,070 --> 00:18:44,560
+inverse element of سبعةطب التسعة مين معكوسة؟ نفسها
+
+171
+00:18:44,560 --> 00:18:49,620
+لإن التسعة في تسعة و 8 عشرات بظلمين ال identity
+
+172
+00:18:49,620 --> 00:19:02,500
+element and تسعة is the inverse of itself يبجى
+
+173
+00:19:02,500 --> 00:19:05,180
+التسعة هو معكوس لنفسه
+
+174
+00:19:10,080 --> 00:19:23,920
+يبقى خريص لقيناله معكوس ولا لا طبعا
+
+175
+00:19:23,920 --> 00:19:29,500
+هذه ال group شباب عليها سنة كتيرة و عليها شغل كتير
+
+176
+00:19:29,500 --> 00:19:35,320
+يبقى هذه ال group very important طيب ننتقل الآن
+
+177
+00:19:35,320 --> 00:19:45,710
+إلى المثال اللي بعدهيبقى مثال سبعة مثال سبعة بيقول
+
+178
+00:19:45,710 --> 00:19:55,490
+the set لو أخدت ال z و عليها عملية الطرح of
+
+179
+00:19:55,490 --> 00:20:06,590
+integers of integers under subtraction
+
+180
+00:20:10,490 --> 00:20:14,950
+هل يا ترى هذه group ولا ماهياش group؟ اه ده السؤال
+
+181
+00:20:14,950 --> 00:20:23,050
+أنا أدعي is not a group because
+
+182
+00:20:27,790 --> 00:20:31,090
+طبعا لو طرحت اي عنصر من بعض سواء طالع انها تجميل
+
+183
+00:20:31,090 --> 00:20:35,370
+وجود والله سالم فيها وموجود في z إذا عملية الطرح
+
+184
+00:20:35,370 --> 00:20:39,250
+على z is a binary operation مافيش فيها مشكلة لكن
+
+185
+00:20:39,250 --> 00:20:44,890
+هل هذه associative ام لا الله أعلم يبقى هنا
+
+186
+00:20:44,890 --> 00:20:52,350
+because if التلاتة مثلا والخمسة والسبعة موجودة في
+
+187
+00:20:52,350 --> 00:21:04,340
+z thenأنا بدى تلاتة ناقص وعندك خمسة ناقص سبعة بدى
+
+188
+00:21:04,340 --> 00:21:08,340
+أستخدم خاصية ال associativity أشوف أصحيها عليها
+
+189
+00:21:08,340 --> 00:21:13,420
+ولا لأ يبقى هذا تلاتة ناقص خمسة ناقص سبعة مقداش يا
+
+190
+00:21:13,420 --> 00:21:19,180
+شباب ناقص اثنين يعني تلاتة زيدي اثنين يسوى مقداش
+
+191
+00:21:19,180 --> 00:21:27,320
+خمسة بطولكن تلاتة ناقص خمسة ناقص سبعة و يساوي
+
+192
+00:21:27,320 --> 00:21:34,420
+تلاتة ناقص خمسة سالب اتنين سالب اتنين سالب سبعة
+
+193
+00:21:35,270 --> 00:21:39,810
+سالب تسعة يبقى هذا الكلام معناه انه العملية
+
+194
+00:21:39,810 --> 00:21:46,390
+associative ولا not associative يبقى هذا معناه انه
+
+195
+00:21:46,390 --> 00:21:57,210
+subtraction عملية الطرح is not associative من هنا
+
+196
+00:21:57,210 --> 00:22:04,380
+زعمنا قبل قليل انها ليست groupإذا عملية الأعداد أو
+
+197
+00:22:04,380 --> 00:22:11,260
+مجموعة الأعداد الصحيحة تحت عملية الطرح مهياش group
+
+198
+00:22:11,260 --> 00:22:21,340
+المثال رقم تمانية بيقول إذا set R star مين هي هذه
+
+199
+00:22:21,340 --> 00:22:30,220
+ال star اللي هي عبارة عن ال set R بدي أشيل منها ال
+
+200
+00:22:30,220 --> 00:22:44,300
+zerosix star of non zero real numbers non
+
+201
+00:22:44,300 --> 00:22:56,160
+zero real numbers is a group under the ordinary
+
+202
+00:23:00,560 --> 00:23:01,520
+السبق
+
+203
+00:23:39,270 --> 00:23:45,230
+مرة تانية ال set of real numbers اللي هي اللي بدي
+
+204
+00:23:45,230 --> 00:23:49,750
+أشيل منها ال zero و بدي أسميها R star يبقى مجموعة
+
+205
+00:23:49,750 --> 00:23:55,450
+الأعداد الحقيقية استثنت منها ال zero عرفت عليها
+
+206
+00:23:55,450 --> 00:24:02,970
+عملية الضرب العادية طبعا الأعداد ال real numbers
+
+207
+00:24:03,810 --> 00:24:07,670
+أضرب اي two real numbers في بعض بيطلع ايه اش ولا
+
+208
+00:24:07,670 --> 00:24:12,910
+بيطلع يعني natural اطلع real تمام يبقى هذا معناته
+
+209
+00:24:12,910 --> 00:24:16,370
+ان ال multiplication is a binary operation اتنين
+
+210
+00:24:16,370 --> 00:24:22,470
+عملية الضرب العادية is associative عالمين على ال
+
+211
+00:24:22,470 --> 00:24:25,970
+set of real numbers يبقى ده اللي عندى بد ال
+
+212
+00:24:25,970 --> 00:24:31,290
+identity element وبد ال inverse element يبقى
+
+213
+00:24:31,290 --> 00:24:39,780
+becausewe know that احنا بنعرف ان ال multi
+
+214
+00:24:39,780 --> 00:24:50,540
+application is a binary binary
+
+215
+00:24:50,540 --> 00:25:00,180
+associative binary associative operation
+
+216
+00:25:09,630 --> 00:25:17,030
+بالنسبة للدرب الوحيد هو
+
+217
+00:25:17,030 --> 00:25:30,340
+الـ identity element of R starطب لو أخدت عنصر A
+
+218
+00:25:30,340 --> 00:25:36,380
+معكوس في R و الله K موجود في R مين معكوسه بيكون؟
+
+219
+00:25:36,380 --> 00:25:40,640
+ممتاز جدا يبقى مقلوبه هو بيكون معكوسه لأن لو ضربت
+
+220
+00:25:40,640 --> 00:25:45,060
+اتنين في بعض بطلع من؟ ال identity element يبقى
+
+221
+00:25:45,060 --> 00:25:57,010
+باجي بقوله the inverse element of Aاللي موجود في R
+
+222
+00:25:57,010 --> 00:26:06,330
+star is واحد على إيه since إيه في واحد على إيه بده
+
+223
+00:26:06,330 --> 00:26:14,010
+يساوي واحد طب السؤال هو ليش استبعد ال zero؟ أيوة
+
+224
+00:26:14,010 --> 00:26:18,610
+يبقى ال zero مالوش معكس لو ضربته في أي رقم لا يمكن
+
+225
+00:26:18,610 --> 00:26:24,410
+يطلع من؟ لا يمكن يطلع الواحد الصحيح على الإطلاق
+
+226
+00:26:26,780 --> 00:26:39,060
+مثال تسعة بيقول الدراسات جي الto over R الgeneral
+
+227
+00:26:39,060 --> 00:26:43,720
+linear group of two by two matrices over R اللي هي
+
+228
+00:26:43,720 --> 00:26:52,760
+كل المصوفات A, B, C, D بحيث أن ال A والB والC والD
+
+229
+00:26:52,760 --> 00:27:00,120
+موجودة في set of real numbers وفي نفس الوقت ال A D
+
+230
+00:27:00,120 --> 00:27:03,820
+نقص B C لا يسوى Zero
+
+231
+00:27:07,870 --> 00:27:13,870
+under matrix multiplication
+
+232
+00:27:13,870 --> 00:27:24,050
+is
+
+233
+00:27:24,050 --> 00:27:26,110
+a group
+
+234
+00:27:41,310 --> 00:27:45,450
+طبعا احنا درسنا في الجبر الخطي المصحوفة لنظامها
+
+235
+00:27:45,450 --> 00:27:49,590
+اتنين في اتنين يبجي فيها صفين و عمودين يبجي هذه
+
+236
+00:27:49,590 --> 00:27:54,490
+المصحوفة بقول انه نظامها اتنين في اتنين او ال size
+
+237
+00:27:54,490 --> 00:27:59,350
+تبعها اتنين في اتنين مش اتنين في اتنين يسوى اربعة
+
+238
+00:27:59,770 --> 00:28:02,750
+الاتنين الأولى يدل على رقم الصفوف والاتنين الثانية
+
+239
+00:28:02,750 --> 00:28:07,670
+يدل على رقم الأعمدة يبقى هذه بدى أسميها ال general
+
+240
+00:28:07,670 --> 00:28:13,130
+linear group of two by two matrices over R هكذا
+
+241
+00:28:13,130 --> 00:28:19,790
+تقرأ general linear group of two by two matrices
+
+242
+00:28:19,790 --> 00:28:25,210
+over R مين هي هذه أنا مهمنيش التسمة بهمني التركيب
+
+243
+00:28:25,210 --> 00:28:29,930
+الداخلي مين هي هذهيبقى هي كل المصففات اللي نظامها
+
+244
+00:28:29,930 --> 00:28:34,550
+اتنين في اتنين و ال elements اللي داخل المصففة
+
+245
+00:28:34,550 --> 00:28:39,150
+كلهم عناصر موجودة فيها سواء كان zero ولا واحد ولا
+
+246
+00:28:39,150 --> 00:28:43,830
+نص ولا تلتبع ولا اي رقم سالب موجب كثير ماعناش
+
+247
+00:28:43,830 --> 00:28:49,660
+مشكلةAnd و في نفس الوقت ال A D ناقص B C ليسوا Zero
+
+248
+00:28:49,660 --> 00:28:56,420
+اتطلعلي A D ناقص B C شو يعني هنا يعني المحدد تبع
+
+249
+00:28:56,420 --> 00:29:01,520
+المصوفة المحدد تبع المصوفة ليسوا Zero يبقى نحنا كل
+
+250
+00:29:01,520 --> 00:29:09,580
+المصوفات اللي عناصرها بيكونوا أعدادحقيقية
+
+251
+00:29:09,580 --> 00:29:14,760
+ومحدداتها لاتساوي أسفارا عرفت عليها عملية ضرب
+
+252
+00:29:14,760 --> 00:29:19,780
+العادية تبع المصحفات under matrix multiplication
+
+253
+00:29:19,780 --> 00:29:25,840
+عملية ضرب المصحفات بدعي أنا هذا أن هذا is a group
+
+254
+00:29:25,840 --> 00:29:30,220
+نرجع للجبر الخطي اظن حاصل ضرب تلت مصحفات
+
+255
+00:29:30,220 --> 00:29:34,820
+associative ولا لا اتنين لما نضرب مصحفتين نظامهم
+
+256
+00:29:34,820 --> 00:29:38,390
+اتنين في اتنين تطلع مصحف النظام اربعة في اربعةو
+
+257
+00:29:38,390 --> 00:29:42,650
+الله اتنين في اتنين يبقى اتنين في اتنين كذلك اذا
+
+258
+00:29:42,650 --> 00:29:48,610
+عملية ضرب المصطفات is a binary operation يبقى
+
+259
+00:29:48,610 --> 00:29:55,150
+بقوله النقطة الاولى we know that من الجبر الخاطئ
+
+260
+00:29:55,150 --> 00:30:04,170
+we know from linear algebra that
+
+261
+00:30:08,510 --> 00:30:16,590
+matrix multiplication is
+
+262
+00:30:16,590 --> 00:30:25,210
+an associative binary
+
+263
+00:30:25,210 --> 00:30:28,390
+operation
+
+264
+00:30:28,390 --> 00:30:33,050
+on
+
+265
+00:30:45,410 --> 00:30:53,190
+النقطة الثانية ال identity element
+
+266
+00:30:55,420 --> 00:31:00,180
+In the general linear group of two by two matrices
+
+267
+00:31:00,180 --> 00:31:06,100
+over R, which is 1,000,000,000,000,000,000,000,000
+
+268
+00:31:06,100 --> 00:31:14,820
+,000,000,000,000,000
+
+269
+00:31:14,820 --> 00:31:16,120
+,000,000,000,000,000,000,000,000,000,000,000,000
+
+270
+00:31:16,120 --> 00:31:17,440
+,000,000,000,000,000,000,000,000,000,000,000,000
+
+271
+00:31:17,440 --> 00:31:18,320
+,000,000,000,000,000,000,000,000,000,000,000,000
+
+272
+00:31:18,320 --> 00:31:20,040
+,000,000,000,000,000,000,000,000,000,000,000,000
+
+273
+00:31:42,710 --> 00:31:48,570
+بنبدل عناصر القطر الرئيسي وبنغير إشارات عناصر
+
+274
+00:31:48,570 --> 00:31:58,290
+القطر الثانوييبقى دي واحد على ا دي ناقص بي سي في
+
+275
+00:31:58,290 --> 00:32:04,650
+المصوفة هذه دي بيصير هنا وال ا مكانها بنبدل ال ا
+
+276
+00:32:04,650 --> 00:32:11,070
+وال د مكان بعض وبنغير إشارات عناصر القطر الثانوين
+
+277
+00:32:13,760 --> 00:32:19,640
+يبقى من هنا صارت هذه group السؤال هو is it abelian
+
+278
+00:32:19,640 --> 00:32:26,900
+group ايوة يبقى هنا ال general linear group of two
+
+279
+00:32:26,900 --> 00:32:39,500
+by two matrices is not abelian because السبب ان ال
+
+280
+00:32:39,500 --> 00:32:48,980
+a bلا يساوي BA والA والB موجودات في ال general
+
+281
+00:32:48,980 --> 00:32:53,380
+linear group of two by two matrices over R دير
+
+282
+00:32:53,380 --> 00:32:59,720
+بالك ما كتبتش for all A وB لإنه يمكن يوصف بيحصل
+
+283
+00:32:59,720 --> 00:33:03,380
+أحيان يطلع ال A في B ويسوي ال B في ال A لكن مش
+
+284
+00:33:03,380 --> 00:33:07,340
+دايما يعني لو جيت حالة حالتين تلاتة بيشدوا عن
+
+285
+00:33:07,340 --> 00:33:12,170
+القاعدة لكن ال general الكلام هذا مالهمش صحيح يبقى
+
+286
+00:33:12,170 --> 00:33:17,530
+هذا مثال عملي فعلا ومتعرف عليه واشتغلناه في ال
+
+287
+00:33:17,530 --> 00:33:22,090
+linear algebra ان هذه ال group عبارة عن non
+
+288
+00:33:22,090 --> 00:33:26,850
+abelian group تمام و ال identity element عرفنا
+
+289
+00:33:26,850 --> 00:33:37,290
+ممكن نيجي ناخد منها حالة خاصة يا جباب ايه
+
+290
+00:33:37,290 --> 00:33:38,730
+بيه لا يستوي بيه
+
+291
+00:33:41,490 --> 00:33:49,370
+هي واحد عالى اي
+
+292
+00:33:49,370 --> 00:33:53,030
+دي ناقص بي سي اللي هو المحدد طبعا
+
+293
+00:34:01,350 --> 00:34:06,390
+أنا كان بإمكاني أقول لك هذه matrix is an
+
+294
+00:34:06,390 --> 00:34:11,050
+associative binary operation ال binary operation
+
+295
+00:34:11,050 --> 00:34:15,270
+كان بإمكاني أعملها لك كالتالي أنا عندي شرط إن
+
+296
+00:34:15,270 --> 00:34:20,970
+المحدد لا يساوي zero صح ولا لا إذا لو أخدت مصفتين
+
+297
+00:34:20,970 --> 00:34:26,980
+محددهم لا يساوي zeroلو ضربتهم في بعض و أخدت المحدد
+
+298
+00:34:26,980 --> 00:34:29,740
+تبعهم و دي يطلع معناه لا يساوي ذلك لإن ال
+
+299
+00:34:29,740 --> 00:34:33,220
+determinant لل A في ال B يساوي ال determinant لل A
+
+300
+00:34:33,220 --> 00:34:37,740
+في ال determinant يعني كان بإمكاني ها دي ها ها
+
+301
+00:34:37,740 --> 00:34:41,450
+اللي ال binary operation أقولكان انا عندى ال
+
+302
+00:34:41,450 --> 00:34:48,010
+determinant لـA لا يساوي 0 و ال determinant لـB لا
+
+303
+00:34:48,010 --> 00:34:52,750
+يساوي 0 صح ولا لأ حسب ال condition اللى هماطينيا
+
+304
+00:34:52,750 --> 00:34:59,350
+الان لو أخدت ال determinant للـA في الـB حسب
+
+305
+00:34:59,350 --> 00:35:02,570
+معلوماتنا من ال linear algebra اللى احنا قلنا
+
+306
+00:35:02,570 --> 00:35:07,170
+عليها ال linear algebra يبقى هذا بده يساوي
+
+307
+00:35:07,170 --> 00:35:14,630
+determinantللـ F determinant للـ B تمام؟ يبقى هذا
+
+308
+00:35:14,630 --> 00:35:20,110
+كله ماله لا يساوي Zero معناته حصل الضرب هذا موجود
+
+309
+00:35:20,110 --> 00:35:23,530
+وين؟ موجود في الـ U من هنا هذه صارت binary
+
+310
+00:35:23,530 --> 00:35:26,990
+operation و لا associative يام أخدناها في الثانوية
+
+311
+00:35:26,990 --> 00:35:33,650
+و كذلك أخدناها وين؟ في الجبر الخاطي طيب ممكن نيجي
+
+312
+00:35:33,650 --> 00:35:39,030
+نروح ناخد حالة خاصةمن ال general linear group هذه
+
+313
+00:35:39,030 --> 00:35:44,270
+بدل المحدد لا يساوي 0 بدي أقول محدد يساوي 1 صحيح
+
+314
+00:35:44,270 --> 00:35:48,370
+وهذه بسميها ال special linear group of two by two
+
+315
+00:35:48,370 --> 00:35:53,430
+matrices over R وهذه كمان بتلعب دور كبير في عين
+
+316
+00:35:53,430 --> 00:35:57,850
+الجبر عندنا في المسائل المختلفة
+
+317
+00:36:10,900 --> 00:36:19,600
+نمرة عشرة the set الهي ال special linear a group
+
+318
+00:36:19,600 --> 00:36:26,860
+of two by two matrices over R اللي هي كل المصففات
+
+319
+00:36:26,860 --> 00:36:33,580
+اللي على الشكل اللي عندنا a,b,c,d بحيث ان ال a و
+
+320
+00:36:33,580 --> 00:36:43,020
+ال b و ال c و ال d هذه موجودةموجودة في ال Q أو ال
+
+321
+00:36:43,020 --> 00:37:01,080
+R أو ال C or ZP or ZP and وفي نفس الوقت and
+
+322
+00:37:03,500 --> 00:37:17,060
+الـ and ال a d نقص بي سي يساوي واحد هذه
+
+323
+00:37:17,060 --> 00:37:32,400
+is called the special linear a group of degree
+
+324
+00:37:34,480 --> 00:37:42,220
+of degree two over a يبقى دي بدل مكانة general هنا
+
+325
+00:37:42,220 --> 00:37:47,720
+قولنا special حالة خاصة منها المحدد يساوي واحد و
+
+326
+00:37:47,720 --> 00:37:57,140
+برضه هذه ما لها is هذه a group under matrix
+
+327
+00:37:57,140 --> 00:37:59,100
+multiplication
+
+328
+00:38:11,310 --> 00:38:17,870
+طيب تعالى نتفهم شوية ال general أنا أخدتها بس على
+
+329
+00:38:17,870 --> 00:38:23,330
+set of real numbers هنا إيش كاتب؟ كاتب ال elements
+
+330
+00:38:23,330 --> 00:38:28,470
+هدول ممكن يكونوا rational number و ممكن يكونوا
+
+331
+00:38:28,470 --> 00:38:32,470
+real number و ممكن يكونوا complex number و ممكن
+
+332
+00:38:32,470 --> 00:38:39,290
+يكونوا ZP حيث ال P is prime يبقى ال P هذا شباب هذا
+
+333
+00:38:39,290 --> 00:38:46,600
+primeيعني ممكن أخد العناصر من زد اتنين و من زد
+
+334
+00:38:46,600 --> 00:38:51,020
+تلاتة و من زد خمسة و من زد سبعة و من زد احداش و من
+
+335
+00:38:51,020 --> 00:38:58,440
+زد تلتاش لكن باخدهمش من مينباخدهمش من z6 باخدهمش
+
+336
+00:38:58,440 --> 00:39:03,800
+من z8 باخدهمش من z9 يبقى شرطنا انه zp prime يعني
+
+337
+00:39:03,800 --> 00:39:09,340
+بمعنى اخر ان هذه المصفوفات المجموعة المصفوفات
+
+338
+00:39:09,340 --> 00:39:14,260
+العناصر ممكن يكونوا من ال Q بس والمحدد لا يساوي
+
+339
+00:39:14,260 --> 00:39:18,740
+zero ممكن يكونوا من ال real numbers والمحدد لا
+
+340
+00:39:18,740 --> 00:39:21,360
+يساوي zero ممكن يكونوا من ال complex numbers
+
+341
+00:39:21,670 --> 00:39:26,050
+والمحدد لا يساوي Zero ممكن يكونوا من ال ZP والمحدد
+
+342
+00:39:26,050 --> 00:39:30,510
+ماله لا يساوي Zero الان لو قلت هدول من ال real
+
+343
+00:39:30,510 --> 00:39:34,670
+number بصير هذه حالة خاصة من مين؟ من السؤال اللي
+
+344
+00:39:34,670 --> 00:39:39,030
+جبله ال identity element هو واحد Zero Zero واحد
+
+345
+00:39:39,030 --> 00:39:44,570
+معكوس المصوفة هو نفس المعكوس اللي عندنا هذا بس هذا
+
+346
+00:39:44,570 --> 00:39:49,450
+ايش بصير؟ بروح بواحد لإن المحدد يساوي واحد يبقى
+
+347
+00:39:49,450 --> 00:40:01,580
+باجي بقوله هناالواحد هو المصفوفة اللي هو ال matrix
+
+348
+00:40:01,580 --> 00:40:05,060
+اللي
+
+349
+00:40:05,060 --> 00:40:14,360
+هي واحد زيرو زيرو واحد is the identity element
+
+350
+00:40:16,350 --> 00:40:21,410
+In the special linear group of two by two matrices
+
+351
+00:40:21,410 --> 00:40:31,730
+over R The inverse of الـ A والـ B والـ C والـ D
+
+352
+00:40:31,730 --> 00:40:36,070
+اللي موجودة في ال general linear group of two by
+
+353
+00:40:36,070 --> 00:40:41,490
+two ال special linear group of two by two matrices
+
+354
+00:40:59,540 --> 00:41:07,060
+ما ينطبق على Rينطبق على ال special linear of two
+
+355
+00:41:07,060 --> 00:41:14,180
+by two matrices over q و over c و over zp يبقى
+
+356
+00:41:14,180 --> 00:41:25,700
+this is a true for ال general for ال specialالـ
+
+357
+00:41:25,700 --> 00:41:32,940
+Special Linear Group of 2x2 matrices over Q والـ
+
+358
+00:41:32,940 --> 00:41:39,580
+Special Linear Group of 2x2 matrices over C والـ
+
+359
+00:41:39,580 --> 00:41:46,480
+Special Linear Group of 2x2 matrices over ZT
+
+360
+00:41:48,480 --> 00:41:53,700
+أظن هدول كلهم طبيعي بسهلات الحسابات لكن تعالى نحسب
+
+361
+00:41:53,700 --> 00:42:01,380
+لك شغلة زى هذه نعطيك مصفوفة موجودة في zp ونشوف ايش
+
+362
+00:42:01,380 --> 00:42:10,100
+اللى حصل for example consider
+
+363
+00:42:13,480 --> 00:42:26,520
+زد بي هي زد فايف يبقى
+
+364
+00:42:26,520 --> 00:42:33,500
+then اللي هو غرض واحد zero zero واحد is the
+
+365
+00:42:33,500 --> 00:42:40,020
+identity element
+
+366
+00:42:42,350 --> 00:42:46,330
+طب بنفع يا شباب اقول في زد خمسة في عندنا واحد خمسة
+
+367
+00:42:46,330 --> 00:42:54,070
+تلاتة اربعة واحد خمسة تلاتة اربعة بنفع؟ لأ الخمسة
+
+368
+00:42:54,070 --> 00:43:00,710
+مش موجودة هذا زد خمسة معاك من zero واحد اتنين
+
+369
+00:43:00,710 --> 00:43:06,090
+تلاتة لغاية اربعة اقل من انه بتبدأ من وين؟ بتبدأ
+
+370
+00:43:06,090 --> 00:43:13,020
+من ال zeroيبقى الارقام اللي بدك تاخدها تبقى zero
+
+371
+00:43:13,020 --> 00:43:17,820
+واحد اتنين تلاتة اربعة فقط لغير ما تزيد عليهم هاي
+
+372
+00:43:17,820 --> 00:43:23,220
+واحدة الثانية بد المحدد تبعه يكون كده مشان يكون
+
+373
+00:43:23,220 --> 00:43:27,000
+يكون كلامها صحيح طيب يبقى هذا هو ال identity
+
+374
+00:43:27,000 --> 00:43:30,460
+element لمين لل group هذي
+
+375
+00:43:34,350 --> 00:43:49,710
+the inverse of a b c d is نفس القصة d a ناقص b و
+
+376
+00:43:49,710 --> 00:44:00,380
+هنا ناقص cنعطي مثال عددي غالي يعني ناخد مصفوفة
+
+377
+00:44:00,380 --> 00:44:05,360
+عناصرها من زد خمسة ونشوف كيف بدنا نجبلها من
+
+378
+00:44:05,360 --> 00:44:07,260
+المعكوس
+
+379
+00:44:26,010 --> 00:44:34,470
+تساوي مثلا تلاتة اربعة اربعة اربعة بالشكل اللي
+
+380
+00:44:34,470 --> 00:44:38,230
+عندنا بدأ
+
+381
+00:44:38,230 --> 00:44:46,270
+اشوف هل المصفوفة هذه موجودة في ال special linear
+
+382
+00:44:46,270 --> 00:44:51,030
+group هذي ولا لأ بمعنى اخرالعناصر تبقى تلاتة و
+
+383
+00:44:51,030 --> 00:44:54,970
+أربعة و أربعة و أربعة موجودة في Z خمسة كلام مظبوط
+
+384
+00:44:54,970 --> 00:45:01,770
+اتنين هل المحدد بدي يسوي واحد ام لا ماجي بقوله هذا
+
+385
+00:45:01,770 --> 00:45:11,410
+بدي determinant لل A يبقى تلاتة في أربعة ناقص اللي
+
+386
+00:45:11,410 --> 00:45:16,830
+هو أربعة في أربعة كل هذا موديولو
+
+387
+00:45:19,400 --> 00:45:24,280
+يبقى هذا الكلام يبدو يساوي تلاتة في أربعة باطن عشر
+
+388
+00:45:24,280 --> 00:45:33,440
+ناقص ست عشر مديولو خمسة ويساوي ناقص أربعة مديولو
+
+389
+00:45:33,440 --> 00:45:40,100
+خمسة طيب الناقص أربعة هذه لو ضفت لها المقياس اللي
+
+390
+00:45:40,100 --> 00:45:46,890
+هو خمسة بطلع كده؟ واحديبقى هذه بطلع واحد module
+
+391
+00:45:46,890 --> 00:45:51,870
+وخمسة يعني بواحديبقى بناء عليها شباب ال
+
+392
+00:45:51,870 --> 00:45:56,350
+determinant لإيه سوا إيه سوا احد معناته المصحوفة
+
+393
+00:45:56,350 --> 00:46:03,790
+هذه موجودة يبقى هذا معناه ان المصحوفة تلاتة اربعة
+
+394
+00:46:03,790 --> 00:46:09,490
+اربعة اربعة belongs لل special linear group of two
+
+395
+00:46:09,490 --> 00:46:17,130
+by two matrices over z five طيب بدنا نجيب المعكوس
+
+396
+00:46:17,130 --> 00:46:29,770
+تبعهباجي بقول الان the inverse matrix of اللي هي
+
+397
+00:46:29,770 --> 00:46:37,010
+تلاتة أربعة أربعة أربعة is المحدد بواحد صحيح يبقى
+
+398
+00:46:37,010 --> 00:46:42,110
+بنقسم شعليه يبقى باجي بقوله بصير هنا أربعة و هنا
+
+399
+00:46:42,110 --> 00:46:48,210
+تلاتة بدلنا عناصر القطر الرئيسي مكان بعضعناصر قطر
+
+400
+00:46:48,210 --> 00:46:56,850
+الثروة بيكون بالمن؟ بالصالب بالشكل هذا طيب
+
+401
+00:46:56,850 --> 00:47:02,290
+لو جينا لبعضك و قولنا له طب اربعة في تلاتة باطماش
+
+402
+00:47:02,630 --> 00:47:09,590
+ناقص 16 يظهر ناقص 4 يعني واحد طيب انا بدي اجيبها
+
+403
+00:47:09,590 --> 00:47:15,470
+لك بطريقة اخرى لو جيت قولتلك بالشكل اللي عندنا هنا
+
+404
+00:47:15,470 --> 00:47:20,550
+لان هتيجي تقول ال ZP فش فيها سالب اربعة و سالب
+
+405
+00:47:20,550 --> 00:47:25,790
+اربعةزد P تبدأ من واندي Zero واحد اتنين لغاية P
+
+406
+00:47:25,790 --> 00:47:29,950
+ناقص واحد مانشيفاش عندي سالب طب و السالب هذا كيف
+
+407
+00:47:29,950 --> 00:47:35,510
+جبته بقولك بسيطة جدا الان هذا السالب بدي احوله الى
+
+408
+00:47:35,510 --> 00:47:40,730
+موجب الموجب بخليها زي ما هي السالب انا زد خمسة
+
+409
+00:47:40,730 --> 00:47:46,570
+يبقى المقياس عندي قداش خمسة اذا بدي اروح اضيف خمسة
+
+410
+00:47:46,570 --> 00:47:51,810
+للسالب اربع بطلع قداشواحد يبقى هذا عندنا واحد و
+
+411
+00:47:51,810 --> 00:47:57,590
+هذه واحد و هذه تلاتة تمام؟
+
+412
+00:47:59,780 --> 00:48:06,160
+انا ادعي ان هذه المصفوفة هي معكوث من؟ معكوث
+
+413
+00:48:06,160 --> 00:48:11,920
+المصفوفة الأصلية، مشان يبقى كلام صحيح لو ضربتها من
+
+414
+00:48:11,920 --> 00:48:16,400
+اليمين او من الشمال بدي يطلع من؟ مصفوفة الوحدة
+
+415
+00:48:16,400 --> 00:48:20,540
+يبقى دير بالك، اي مصفوفة أخرى تاخدها بعد ذلك
+
+416
+00:48:20,540 --> 00:48:23,520
+موجودة في ال especially بقيت عاملها بنفس الطريقة
+
+417
+00:48:23,830 --> 00:48:26,990
+يعني انا مش جايبها للناس اللي هو انما مش هنعلمك
+
+418
+00:48:26,990 --> 00:48:33,550
+كيفية الحسابات في ZP بدك تجيب عناصر المصوفة لعناصر
+
+419
+00:48:33,550 --> 00:48:38,830
+اليوم اللي ميكونوا من ZP اثنين النتيجة اللي اتضارب
+
+420
+00:48:38,830 --> 00:48:45,210
+نتيجة اللي اخد المحدد بدك تتقيد بخاصة ZP وشروط ال
+
+421
+00:48:45,210 --> 00:48:48,590
+special linear group ان المحدد تبعها بده يساوي مان
+
+422
+00:48:48,590 --> 00:48:56,450
+بده يساوي واحدالان لو ضربت
+
+423
+00:48:56,450 --> 00:48:59,950
+اتنين في بعض اذا ما طلعش مصمم تلواحدة بصير كلامي
+
+424
+00:48:59,950 --> 00:49:07,160
+غلطأثنين انا لما ادعي ان هذه المعكوس المصوفة هذه
+
+425
+00:49:07,160 --> 00:49:12,240
+لازم العناصر اللي يطلع دول يكون موجودات في Z فيه
+
+426
+00:49:12,240 --> 00:49:15,760
+يبقى الواحد و التلاتة و الأربعة و الواحد كلهم
+
+427
+00:49:15,760 --> 00:49:21,520
+موجودة في Z خمسة مظبوط يبقى كله من Z خمسة الان انا
+
+428
+00:49:21,520 --> 00:49:26,560
+لازم اقول it was كذا because ليش هذه هي المعكوس
+
+429
+00:49:26,560 --> 00:49:32,280
+انا الآن حسبت عمليا بس بدي اثبتها رياضيةلو قلت
+
+430
+00:49:32,280 --> 00:49:35,560
+تلاتة اربعة اربعة اربعة اربعة اربعة اربعة اربعة
+
+431
+00:49:35,560 --> 00:49:37,500
+اربعة اربعة اربعة اربعة اربعة اربعة اربعة اربعة
+
+432
+00:49:37,500 --> 00:49:38,180
+اربعة اربعة اربعة اربعة اربعة اربعة اربعة اربعة
+
+433
+00:49:38,180 --> 00:49:41,000
+اربعة اربعة اربعة اربعة اربعة اربعة اربعة اربعة
+
+434
+00:49:41,000 --> 00:49:43,560
+اربعة اربعة اربعة اربعة اربعة اربعة اربعة اربعة
+
+435
+00:49:43,560 --> 00:49:44,860
+اربعة اربعة اربعة اربعة اربعة اربعة اربعة اربعة
+
+436
+00:49:44,860 --> 00:49:45,360
+اربعة اربعة اربعة اربعة اربعة اربعة اربعة اربعة
+
+437
+00:49:45,360 --> 00:49:51,580
+اربعة اربعة اربعة اربعة اربعة اربعة
+
+438
+00:49:53,510 --> 00:49:57,510
+طيب الصفر الثاني في العمود التاني تلاتة واربع في
+
+439
+00:49:57,510 --> 00:50:03,870
+تلاتة باطناش اتناش و تلاتة خمستاش اربع في اربع
+
+440
+00:50:03,870 --> 00:50:11,870
+بستاش واربع عشرين الان اربع في واحد باربع واربع في
+
+441
+00:50:11,870 --> 00:50:18,250
+تلاتة باطناش اللي هي بستاش لكن انا بده هذا كله
+
+442
+00:50:18,250 --> 00:50:24,590
+مديله خمسةموديول الخمس هنا واحد زيرو وهنا زيرو
+
+443
+00:50:24,590 --> 00:50:30,610
+واحد هو ال identity matrix يبقى فعلا هذه هي هذه
+
+444
+00:50:30,610 --> 00:50:35,490
+اللي هي المصوفة ومعكوس هذه المصوفة هي المصوفة اللي
+
+445
+00:50:35,490 --> 00:50:39,310
+عندنا يبقى عند الحسابات في زد خمسة في زد سبعة في
+
+446
+00:50:39,310 --> 00:50:45,240
+زد أحد عشان بدك تحسب بنفس الطريقة اللي عندنالازلنا
+
+447
+00:50:45,240 --> 00:50:50,920
+في المحاضرة القادمة مع مزيد من الأمثلة على Legros
+
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/Qh2nKxpZzJc.srt b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/Qh2nKxpZzJc.srt
new file mode 100644
index 0000000000000000000000000000000000000000..8f88c60e95ef0d60972bfacedd98585e1da2e5d6
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/Qh2nKxpZzJc.srt
@@ -0,0 +1,1847 @@
+1
+00:00:21,090 --> 00:00:25,950
+أحنا واصلون ما بدأنا فيه المرة الماضية وهو حل اللي
+
+2
+00:00:25,950 --> 00:00:30,570
+هو المسائل على شبتر ثمانية الاكستاناداركت برودرك
+
+3
+00:00:30,570 --> 00:00:35,110
+وصلنا لسؤال واحد وأربعين بقول express automorphism
+
+4
+00:00:35,110 --> 00:00:40,070
+لـ U خمسة وعشرين in the form ZM اكستاناداركت برودرك
+
+5
+00:00:40,070 --> 00:00:41,390
+مع ZN
+
+6
+00:00:43,960 --> 00:00:48,680
+بمعنى آخر بدي أجيب جروب لجروب هذه تبقى isomorphic
+
+7
+00:00:48,680 --> 00:00:54,060
+لمام لـ U خمسة وعشرين طب احنا عندنا الـ U خمسة
+
+8
+00:00:54,060 --> 00:00:59,680
+وعشرين solution عندنا
+
+9
+00:00:59,680 --> 00:01:07,500
+الـ U خمسة وعشرين اللي هو U خمسة لكل تربيع الشكل
+
+10
+00:01:07,500 --> 00:01:16,670
+اللي عندنا هذه isomorphic أو ال atomorphism لـ U
+
+11
+00:01:16,670 --> 00:01:23,730
+خمسة وعشرين هذه تساوي U خمسة تربيع مباشرة طبعاً
+
+12
+00:01:23,730 --> 00:01:32,770
+أخذت عندك أن الـ U مرفوعة لـ prime P ومرفوعة لأس N
+
+13
+00:01:32,770 --> 00:01:39,550
+U P أس N ناقص P أس N minus ال one كتبناها معكم
+
+14
+00:01:39,550 --> 00:01:45,390
+المرة الماضية في آخر محاضرة تجدها موجودة معك نحاول
+
+15
+00:01:45,390 --> 00:01:50,950
+نطبق هذا الكلام عالمياً على أرض الواقع يبقى بناء
+
+16
+00:01:50,950 --> 00:01:55,330
+عليه يو خمسة وعشرين كتبناها بالشكل هذه بقدر أقول
+
+17
+00:01:55,330 --> 00:01:58,070
+هذه isomorphic لمين؟
+
+18
+00:02:02,510 --> 00:02:09,870
+Isomorphic لزد P اللي هي خمسة تربيع ناقص خمسة أس
+
+19
+00:02:09,870 --> 00:02:14,390
+اثنين ناقص واحد بالشكل اللي عندنا هنا يبقى هذا
+
+20
+00:02:14,390 --> 00:02:19,790
+الكلام هذه تساوي من خمسة ترابيع ليه خمسة وعشرين
+
+21
+00:02:19,790 --> 00:02:27,090
+وهذه خمسة وسواحد يبقى زد عشرين شكل اللي عندنا هنا
+
+22
+00:02:27,090 --> 00:02:31,710
+هذا U خمسة وعشرين أنا ما بدي U خمسة وعشرين بدي 
+
+23
+00:02:31,710 --> 00:02:38,540
+اتومورفزم لـ U خمسة وعشرين إذا بناء عليه atomorphism
+
+24
+00:02:38,540 --> 00:02:47,580
+لـ U خمسة وعشرين اللي هي isomorphic لمهم اللي هو
+
+25
+00:02:47,580 --> 00:02:54,750
+atomorphism لـ Z عشرين الشكل اللي عندنا هنا أخذنا
+
+26
+00:02:54,750 --> 00:03:03,470
+كمان نظرية سابقة اتومورفزم لـ ZN ايزو مورفك لـ UN
+
+27
+00:03:03,470 --> 00:03:10,830
+شبطر اللي قبله آخر نظرية يبقى هذا ايزو مورفك لـ U20
+
+28
+00:03:11,920 --> 00:03:19,120
+U20 هذه اللي بقدر أكتبها اللي هي تساوي U أربعة في
+
+29
+00:03:19,120 --> 00:03:25,440
+خمسة والاربعة خمسة are relatively prime يبقى هذه
+
+30
+00:03:25,440 --> 00:03:34,070
+isomorphic لمين؟ للي هو isomorphic أو هدى تساوي
+
+31
+00:03:34,070 --> 00:03:39,990
+أو isomorphic دُغري لمهم لـ U أربعة external
+
+32
+00:03:39,990 --> 00:03:49,530
+product مع U خمسة مرة ثانية لـ U أربعة هدى U اثنين
+
+33
+00:03:49,530 --> 00:03:58,130
+تربيعهذه أخذناها ايزو مورفك لمين؟ لزد دي اثنين وهذه
+
+34
+00:03:58,130 --> 00:04:03,170
+بتطبق عليها القاعدة اللي طبقناها فوق تماماً يبقى
+
+35
+00:04:03,170 --> 00:04:10,730
+بالداجي أقول هذا زد خمسة أس واحد ناقص خمسة أس واحد
+
+36
+00:04:10,730 --> 00:04:17,180
+ناقص واحدهذا الكلام يساوي زد اثنين external by
+
+37
+00:04:17,180 --> 00:04:22,880
+product هذه خمسة وهذه خمسة وصفر خمسة وصفر أبواحد
+
+38
+00:04:22,880 --> 00:04:29,420
+خمسة ناقص واحد اللي هي أربعة زد أربعة زد أربعة اه
+
+39
+00:04:29,420 --> 00:04:35,300
+زد أربعة يبقى هذه زد أربعة معناه هذا الكلام أن ال
+
+40
+00:04:35,300 --> 00:04:41,050
+atomorphism ليه خمسة وعشرين isomorphic لمهم لزد
+
+41
+00:04:41,050 --> 00:04:45,490
+اثنين external product زد أربعة وبالتالي عندي
+
+42
+00:04:45,490 --> 00:04:50,030
+ثمانية atomorphism من الـ U خمسة وعشرين إلى الـ U
+
+43
+00:04:50,030 --> 00:04:54,910
+خمسة وعشرين اتسل بغض النظر عن شكلهم قال لي اكتبلي
+
+44
+00:04:54,910 --> 00:05:01,170
+ال atomorphism لـ U خمسة وعشرين على شكل ZM في ZN
+
+45
+00:05:01,170 --> 00:05:05,310
+يبقى هي كتبتله بالشكل هذا باستخدام القواعد اللي
+
+46
+00:05:05,310 --> 00:05:08,130
+أخذناها المرة الماضية
+
+47
+00:05:10,010 --> 00:05:20,890
+بعدها بيقول ليه في 46 يبقى 46 بيقول ما يأتي بيقول
+
+48
+00:05:20,890 --> 00:05:28,510
+هاتلي isomorphism بدنا isomorphism من وين لوين؟ في
+
+49
+00:05:28,510 --> 00:05:34,770
+من اللي هو ال group Z12 إلى مين؟
+
+50
+00:05:37,910 --> 00:05:46,330
+السؤال ستة أربع يقول ز أربع في ز ثلاثة يبقى ز أربع
+
+51
+00:05:46,330 --> 00:05:52,270
+كستينو دايكا product مع ز ثلاثة مع ز ثلاثة بقول
+
+52
+00:05:52,270 --> 00:05:56,740
+عرف ليه اللي هو isomorphism من ال group هذه لل
+
+53
+00:05:56,740 --> 00:06:01,240
+group هذه أنا بعطيك ال function وانت عليك تثبت
+
+54
+00:06:01,240 --> 00:06:05,620
+أنها one to one and انت وتخدم خاصيات ال
+
+55
+00:06:05,620 --> 00:06:08,680
+isomorphism ال function اللي بتقول عليها شبه
+
+56
+00:06:08,680 --> 00:06:14,630
+بالشكل التالي phi of x يبقى x وين موجودة هذه؟ في
+
+57
+00:06:14,630 --> 00:06:19,810
+Z12 بدي أجسمها إلى مركبتين واحدة موجودة في Z4
+
+58
+00:06:19,810 --> 00:06:25,390
+واحدة موجودة في Z3 يبقى بقدر أقول له هذه على الشكل
+
+59
+00:06:25,390 --> 00:06:33,210
+التالي طبعاً العدد اللي هنا في Z12 اللي هو مين؟ اللي
+
+60
+00:06:33,210 --> 00:06:38,470
+هو العدد قد يكون من عند ال zero لغاية من ال 11
+
+61
+00:06:38,470 --> 00:06:44,350
+وهكذا إذا بدى أخلي مركبة موجودة في Z4 ومركبة
+
+62
+00:06:44,350 --> 00:06:51,030
+موجودة في Z3 إذا بقدر أقول هذا X modulo 4 و
+
+63
+00:06:51,030 --> 00:06:57,070
+المركبة الثانية X modulo 3 يعني العدد اللي باخده
+
+64
+00:06:57,070 --> 00:07:04,230
+من Z12 أكبر من 4 ولا أكبر من 3 افترض كان 2 يبقى
+
+65
+00:07:04,230 --> 00:07:07,830
+باجي بقول فاي اف اثنين يسوى اثنين موديوله أربعة
+
+66
+00:07:07,830 --> 00:07:11,130
+اللي هو باثنين واثنين موديوله ثلاثة اللي هو
+
+67
+00:07:11,130 --> 00:07:16,510
+باثنين لكن لو قلت له خمسة فاي خمسة بدي يكون هنا
+
+68
+00:07:16,510 --> 00:07:20,370
+واحد وهنا كداش وهنا اثنين وهكذا يبقى هاي
+
+69
+00:07:20,370 --> 00:07:23,490
+المقصودة هاي ال function قدامك بس تبتليها one to
+
+70
+00:07:23,490 --> 00:07:30,670
+one and on to وتخدم خاصية ال isomorphism هذا قال له
+
+71
+00:07:30,670 --> 00:07:35,210
+ستة وأربعين ثمانية وأربعين بيقولوا show that five
+
+72
+00:07:35,210 --> 00:07:42,310
+is an isomorphism
+
+73
+00:07:42,310 --> 00:07:48,650
+من زد ثلاثة cross زد خمسة لزد خمسة عشر يبقى ثمانية
+
+74
+00:07:48,650 --> 00:07:59,630
+وأربعين أن في من من زد ثلاثة external product مع
+
+75
+00:07:59,630 --> 00:08:07,090
+مين؟ مع z خمسة لمن؟ ل z خمسة عشر بالشكل اللي عندنا
+
+76
+00:08:07,090 --> 00:08:14,410
+هذا z خمسة عشر و بحيث أنه ال five of اثنين وثلاثة
+
+77
+00:08:14,410 --> 00:08:20,370
+بده يسوى اثنين بقول find an element a و b في هذا
+
+78
+00:08:20,370 --> 00:08:26,050
+بحيث ال maps to one يبقى أنا بدي أوجد اللي هو
+
+79
+00:08:26,050 --> 00:08:31,950
+element a و b صورته main صورته الواحد أو five of a
+
+80
+00:08:31,950 --> 00:08:36,570
+و b اللي بتعطينا main بتعطينا الواحد
+
+81
+00:08:41,470 --> 00:08:46,970
+سؤال مرة ثانية في أنا isomorphism ال isomorphism
+
+82
+00:08:46,970 --> 00:08:55,090
+من ال group z3 external to z5 إلى z15 وفي أنا معطع
+
+83
+00:08:55,090 --> 00:08:58,810
+أن فيلم اتأثر على الاثنين والثلاثة النتيجة تساوي
+
+84
+00:08:58,810 --> 00:09:05,390
+اثنين جليهات للعنصر a وb لصورته من؟ لصورته الواحد
+
+85
+00:09:05,390 --> 00:09:09,190
+الصحيح حد فيكو حل هذا السؤال؟
+
+86
+00:09:12,670 --> 00:09:19,130
+اه يعني مدن امتحانات مش داعي للحل كويس طيب على أي
+
+87
+00:09:19,130 --> 00:09:24,310
+حال أنا مرة حلتلكوا سؤال شبيه بهذا في اللي قبل لما
+
+88
+00:09:24,310 --> 00:09:28,110
+أخذنا ال isomorphism حلتلكوا سؤال شبيه به بس هذا
+
+89
+00:09:28,110 --> 00:09:33,060
+الفرق بينه وبين هذا هذا مكون من مين؟ من order pair
+
+90
+00:09:33,060 --> 00:09:36,880
+order pair والله مش order pair بتفرجش عنها شوف يا
+
+91
+00:09:36,880 --> 00:09:41,180
+سيدي أنا بدي العنصر a و b اللي صورته تحت أثير الفا
+
+92
+00:09:41,180 --> 00:09:47,540
+يساوي واحد هناك كان بدي شكل ال isomorphism عبارة
+
+93
+00:09:47,540 --> 00:09:51,440
+عن إيش؟ كان في السؤال اللي جابله لكن هذا لأ بدي ال
+
+94
+00:09:51,440 --> 00:09:57,040
+order a و b اللي صورته تساوي مين؟ تساوي واحد صحيح
+
+95
+00:09:57,460 --> 00:10:02,300
+بقول كويس بحاول استخدام المعلومة هذه بقدر الإمكان
+
+96
+00:10:02,300 --> 00:10:08,820
+ولذلك بحاول أجيب المعطى هذا اللي هو واحد في الصورة
+
+97
+00:10:08,820 --> 00:10:12,920
+اللي قدامي هنا يعني بدي أجيب علاقة تربط بين الواحد
+
+98
+00:10:12,920 --> 00:10:18,140
+واثنين اللي عندنا حتى نقدر نحسب كم هذا ال element
+
+99
+00:10:18,140 --> 00:10:24,930
+الآن لو جيت واحد الواحد هذا موجود في أي group فنيات
+
+100
+00:10:24,930 --> 00:10:31,430
+زد خمسة عشر هل هذا الواحد يكافئ رقم ثاني اللي هو
+
+101
+00:10:31,430 --> 00:10:37,490
+مين؟ خمسة عشر ممتاز يعني الواحد هذا بالضبط هو عبارة عن
+
+102
+00:10:37,490 --> 00:10:45,610
+خمسة عشر modulo خمسة عشر تمام الـ خمسة عشر مش هي عبارة عن
+
+103
+00:10:45,610 --> 00:10:53,640
+ثمانية في اثنين modulo خمسة عشر تمام طب اثنين مديله
+
+104
+00:10:53,640 --> 00:10:58,380
+خمسة عشر ما هو اثنين صح ولا لأ؟ يبقى اثنين اللي عندي
+
+105
+00:10:58,380 --> 00:11:02,580
+هذه بقدر أشيلها وأكثر بدلها في أو في اثنين و
+
+106
+00:11:02,580 --> 00:11:08,740
+ثلاثة يبقى هذا الكلام بدي يساوي ثمانية في في أو في
+
+107
+00:11:08,740 --> 00:11:16,810
+اثنين وثلاثة كأن المثل إيش؟ كأنه ثمانية أنا هدم
+
+108
+00:11:16,810 --> 00:11:21,250
+طلعها من جوا الجوس وطلعها مين؟ برا وزي ما كنا نقول
+
+109
+00:11:21,250 --> 00:11:27,190
+Alpha of خمسة يسوى خمسة في Alpha of واحد تمام هنا
+
+110
+00:11:27,190 --> 00:11:31,850
+نفس الفكرة بالضبط تماماً كأنه ثمانية كانت جوا وأنا
+
+111
+00:11:31,850 --> 00:11:36,310
+طلعتها برا إذا بدأ دخلتها جوا يبقى لو دخلتها جوا
+
+112
+00:11:36,310 --> 00:11:41,710
+هضربها وين؟ في كل عنصر من هذه العناصر بس اثنين هذه
+
+113
+00:11:41,710 --> 00:11:47,790
+موجودة وين؟ في زد ثلاثة والثلاثة هذه موجودة في زد
+
+114
+00:11:47,790 --> 00:11:51,730
+خمسة إذا عند الضرب بدك تترعي من؟ بدك تترعي
+
+115
+00:11:51,730 --> 00:11:57,430
+النتيجة إذا هذا الكلام بده يساوي بده يساوي five
+
+116
+00:11:57,430 --> 00:12:04,190
+ثمانية في اثنين modulo الأولى اللي هي ثلاثة
+
+117
+00:12:04,190 --> 00:12:11,000
+والمركبة الثانية ثمانية في ثلاثة modulo خمسة هذا
+
+118
+00:12:11,000 --> 00:12:16,680
+الكلام بده يسوى five ثمانية في اثنين بستعش مضيله
+
+119
+00:12:16,680 --> 00:12:22,800
+ثلاثة بيبقى واحد يبقى واحد وثلاثة في ثمانية أربعة
+
+120
+00:12:22,800 --> 00:12:28,320
+وعشرين مضيله خمسة اللي هو أربعة يبقى الواحد اللي
+
+121
+00:12:28,320 --> 00:12:33,520
+عندي هو صورة ال order per man واحد وأربعة هذا
+
+122
+00:12:33,520 --> 00:12:40,200
+معناه أن ال a وال b بده يسوى جداش واحد وأربعة
+
+123
+00:12:45,820 --> 00:12:52,020
+طيب هذا كان سؤال اللي هو ثمانية وأربعين بدنا نروح
+
+124
+00:12:52,020 --> 00:12:57,840
+لسؤال ثمانية وخمسين ثمانية وخمسين بيقول لي without
+
+125
+00:12:57,840 --> 00:13:02,100
+doing any calculations in atomorphism Z عشرين 
+
+126
+00:13:02,100 --> 00:13:07,940
+determine how many elements of automorphism Z عشرين
+
+127
+00:13:07,940 --> 00:13:16,560
+ال order لهم يساوي أربعة بدي سؤال ثمانية و خمسين
+
+128
+00:13:16,560 --> 00:13:31,780
+the number of elements of order four in automorphism
+
+129
+00:13:31,780 --> 00:13:33,640
+لزاد عشرين
+
+130
+00:13:40,950 --> 00:13:46,130
+بقول اجيبلي كام عنصر في الاتومورفزم لزد عشرين ال
+
+131
+00:13:46,130 --> 00:13:51,070
+order اللي لهم يساوي أربعة بدونها بدون ما اروح
+
+132
+00:13:51,070 --> 00:13:56,330
+أبحث في شكل الاتومورفزم هدول بدك تعرفلي كده بدون
+
+133
+00:13:56,330 --> 00:14:01,850
+ما تعرفلي شكل ولا function بقوله كويس يبقى solution
+
+134
+00:14:01,850 --> 00:14:07,150
+يبقى معنى هذا الكلام أنا بدي استخدم أي شغلة لها
+
+135
+00:14:07,150 --> 00:14:11,470
+علاقة بال automorphism ل Z عشرين احنا عندنا ال
+
+136
+00:14:11,470 --> 00:14:16,790
+automorphism ل Z عشرين ايزو مورفك لمين يا شباب؟ ل ال
+
+137
+00:14:16,790 --> 00:14:23,750
+U عشرين ممتاز و ال U عشرين هذه اللي هي U اللي هي
+
+138
+00:14:23,750 --> 00:14:31,010
+عبارة عن U أربعة في خمسة والاربعة في الخمسة are
+
+139
+00:14:31,010 --> 00:14:35,870
+relatively prime مدام relatively prime يبقى هذه
+
+140
+00:14:35,870 --> 00:14:47,070
+isomorphic لمان ل U4 external product مع U5 ال U4
+
+141
+00:14:47,070 --> 00:14:54,570
+هذه اللي هي isomorphic لمان ل Z2 external product
+
+142
+00:14:54,570 --> 00:14:56,230
+مع U5
+
+143
+00:15:00,200 --> 00:15:05,120
+عشان أضيع وقت فيها يبقى isomorphic لزد أربعة إذا
+
+144
+00:15:05,120 --> 00:15:11,720
+عندي ثمانية اتومورفزم لمان لزد عشرين بدي ادور من
+
+145
+00:15:11,720 --> 00:15:17,440
+الثمانية هدول يبقى ما ينطبق على الاتومورفزم لزد
+
+146
+00:15:17,440 --> 00:15:23,540
+عشرين ينطبق على الاتومورفزم لمان لزد اثنين × تان
+
+147
+00:15:23,540 --> 00:15:28,120
+ضرب product مع مين؟ مع زد أربعة معناه هذا الكلام
+
+148
+00:15:28,120 --> 00:15:34,060
+مدام هذه ايزو مورفك لهذه إذا لو لجيت جدّيش عدد
+
+149
+00:15:34,060 --> 00:15:38,300
+العناصر في ال group هذه لل order إلهم يساوي أربعة
+
+150
+00:15:38,300 --> 00:15:42,340
+بكون جبت عدد ال automorphisms اللي ال order إلهم
+
+151
+00:15:42,340 --> 00:15:48,060
+يساوي مين؟ أربعة يعني هذه صعب العمل فيها لكن هذه
+
+152
+00:15:48,060 --> 00:15:54,020
+سهل العمل فيها ومن هنا التحويلات هذه بتنقلنا من
+
+153
+00:15:54,020 --> 00:15:59,480
+جروب صعب التعامل معاها إلى جروب سهل التعامل معاها
+
+154
+00:16:01,670 --> 00:16:05,970
+أنا بدي أبحث عن العناصر اللي في Z2 Extended
+
+155
+00:16:05,970 --> 00:16:11,390
+Product كده عددهم ال order لهم بده يساوي من؟ بده
+
+156
+00:16:11,390 --> 00:16:16,970
+يساوي الأربعة يبقى بداتي أقول له assume افترض انه
+
+157
+00:16:16,970 --> 00:16:23,250
+عندي element a و b موجود في Z2 Extended Product مع
+
+158
+00:16:23,250 --> 00:16:31,480
+Z4 such that بحيث ان الأردر لـ A و لـ B اللي هو
+
+159
+00:16:31,480 --> 00:16:36,660
+لساوي ال least common multiple للأردر بتابع ال A
+
+160
+00:16:36,660 --> 00:16:41,340
+والأردر بتابع ال B هذا الكلام دي يساوي كده؟ دي يساوي
+
+161
+00:16:41,340 --> 00:16:45,220
+أربعة الأردر
+
+162
+00:16:45,220 --> 00:16:56,900
+المحتملة ال orders of A are مين يا شباب؟ كده؟ واحد
+
+163
+00:16:56,900 --> 00:17:02,030
+و كده؟ واحد واثنين هذه الـ elements بتاع الـ z
+
+164
+00:17:02,030 --> 00:17:05,630
+اثنين Zero و واحد Zero هو ال identity ال order له
+
+165
+00:17:05,630 --> 00:17:09,230
+بواحد و الواحد له ال order اثنين اللي لو جمعت واحد
+
+166
+00:17:09,230 --> 00:17:11,830
+زي واحد يساوي اثنين فزي اثنين ب Zero اللي هو ال
+
+167
+00:17:11,830 --> 00:17:16,090
+identity يبقى ال orders المحتملة اللي هي واحد و
+
+168
+00:17:16,090 --> 00:17:28,660
+اثنين and ال orders of B are ممكن واحد واثنين وأربعة
+
+169
+00:17:28,660 --> 00:17:32,760
+تمام تلاتة مافيش حاجة لإن التلاتة لا تقسم الأربع
+
+170
+00:17:32,760 --> 00:17:36,740
+يبقى اما ال order اي واحد أو اثنين أو أربع طيب
+
+171
+00:17:36,740 --> 00:17:40,140
+هدول الرقمين لو بدي اجيب ال least common multiple
+
+172
+00:17:40,140 --> 00:17:45,620
+مع هدول بشكلولي مشكلة؟ لأ واحد اثنين هي واحد و
+
+173
+00:17:45,620 --> 00:17:49,900
+اثنين إذا هدول بدون تفكير بدي اخد الانصارين زي ما
+
+174
+00:17:49,900 --> 00:17:55,280
+هم لكن بدي ادور هنا الارقام اللي بتعملي ال least
+
+175
+00:17:55,280 --> 00:17:58,920
+common multiple مع مين؟ مع هدول بيعطيني أربعة
+
+176
+00:17:58,920 --> 00:18:03,180
+السؤال هو لو كان خدت العناصر ال order اللي لهم
+
+177
+00:18:03,180 --> 00:18:08,020
+واحد و اثنين بيجيبولي عناصر يبقى مفيش insert يبقى
+
+178
+00:18:08,020 --> 00:18:12,980
+مفيش اخد الا اللي ال order له يساوي مان أربعة فقط و
+
+179
+00:18:12,980 --> 00:18:16,760
+هدول بدي أخدهم هم اثنين زي ما هم كويس هدول شوف
+
+180
+00:18:16,760 --> 00:18:20,860
+هدول بيعطوني تبدل تان أو بيعطوني اثنين على طول
+
+181
+00:18:20,860 --> 00:18:27,940
+الخط و هدول تعالى نشوف ايش بدي نعمل فيهم الآن z
+
+182
+00:18:27,940 --> 00:18:34,100
+four هذا كم عنصر ال order اللي بيساوي أربعة في z
+
+183
+00:18:34,100 --> 00:18:43,270
+four و مين كمان؟ والتلاتة مفيش غيرهم مفيش غيرهم يبقى
+
+184
+00:18:43,270 --> 00:18:51,870
+ال Z for has واحد and تلاتة of order أربع يعني كام
+
+185
+00:18:51,870 --> 00:18:58,170
+خيار عندي؟ اثنين يبقى ال A لها خيارات two choices
+
+186
+00:18:58,170 --> 00:19:06,930
+for A for B هذا بدي يعطينا two choices for B طيب كام
+
+187
+00:19:06,930 --> 00:19:10,530
+بقى كام خيار لإيه؟ خد زي ما بدك لإن order واحد
+
+188
+00:19:10,530 --> 00:19:14,990
+واتنين بيفرجوش معايا مع الأربع يبقى هنا كمان two
+
+189
+00:19:14,990 --> 00:19:24,550
+choices for b إذن عدد العدد تبعهم يساوي يبقى هنا
+
+190
+00:19:24,550 --> 00:19:35,450
+the number of elements of order for
+
+191
+00:19:37,350 --> 00:19:44,950
+is اثنين في اثنين ويساوي أربعة elements يبقى
+
+192
+00:19:44,950 --> 00:19:49,650
+ماعنديش إلا أربعة عناصر ال order لهم يساوي four
+
+193
+00:19:49,650 --> 00:19:54,110
+وبالتالي ال automorphism لزد عشرين يوجد فيه جدّاش
+
+194
+00:19:54,110 --> 00:19:59,690
+يبقى أربعة عناصر ال order لها بده يساوي مان؟ بده
+
+195
+00:19:59,690 --> 00:20:05,310
+يساوي عشرين تمام يبقى هذا اللي عندنا
+
+196
+00:20:12,060 --> 00:20:17,500
+لاحظ أن هذه الأسئلة كلها تطبيق مباشر على ما درسناه
+
+197
+00:20:17,500 --> 00:20:23,240
+في الجزء النظري في آخر محاضرة في هذا section الآن
+
+198
+00:20:23,240 --> 00:20:30,840
+ننتقل إلى الشابتر الذي يليه وهو شابتر تسعة تسعة
+
+199
+00:20:30,840 --> 00:20:37,300
+normal subgroups
+
+200
+00:20:37,300 --> 00:20:40,680
+and factor
+
+201
+00:20:44,630 --> 00:20:49,990
+and factor groups
+
+202
+00:20:49,990 --> 00:20:56,610
+definition
+
+203
+00:20:56,610 --> 00:21:01,010
+a
+
+204
+00:21:01,010 --> 00:21:05,670
+subgroup H
+
+205
+00:21:05,670 --> 00:21:13,250
+of a group G is called
+
+206
+00:21:16,320 --> 00:21:29,000
+is called a normal is called a normal subgroup of
+
+207
+00:21:29,000 --> 00:21:40,680
+g subgroup of g f ال a h بده يساوي ال h a لكل
+
+208
+00:21:40,680 --> 00:21:50,920
+ال a اللي موجودة في g b لا استخدام we denote this
+
+209
+00:21:50,920 --> 00:22:02,720
+by ال H is a normal subgroup of G note
+
+210
+00:22:02,720 --> 00:22:05,880
+ال
+
+211
+00:22:05,880 --> 00:22:11,680
+A H دي ساوي ال H A does not
+
+212
+00:22:15,740 --> 00:22:21,240
+imply that ان
+
+213
+00:22:21,240 --> 00:22:36,120
+ال a h بدر يساوي ال h a but means that ان ال a h
+
+214
+00:22:36,120 --> 00:22:41,700
+one بدر يساوي ال h two a
+
+215
+00:22:44,410 --> 00:22:50,070
+أول نظرية theorem a
+
+216
+00:22:50,070 --> 00:22:54,430
+subgroup a
+
+217
+00:22:54,430 --> 00:23:07,070
+subgroup H a subgroup H of G is normal is normal
+
+218
+00:23:07,070 --> 00:23:18,730
+in G if and only if الـ X H X inverse subset من H
+
+219
+00:23:18,730 --> 00:23:24,870
+لكل ال X اللي موجودة في ال group G
+
+220
+00:24:16,580 --> 00:24:22,060
+نرجع مرة ثانية يبقى أنا عندي جروب جديدة هسميها
+
+221
+00:24:22,060 --> 00:24:27,040
+normal subgroup اللي بتحققلي شرط معين ال factor
+
+222
+00:24:27,040 --> 00:24:32,640
+group بدي أنشئ جروب جديدة بواسطة ال subgroup اللي
+
+223
+00:24:32,640 --> 00:24:36,340
+عرفته دي فخلينا في الأول مع ال normal subgroup
+
+224
+00:24:36,340 --> 00:24:41,720
+وهتلعب دور كبير في علم الجبر وخاصة في موضوع الجروب
+
+225
+00:24:41,720 --> 00:24:46,880
+ال subgroup H من الجروب G بسميها normal subgroup
+
+226
+00:24:46,880 --> 00:24:53,390
+من G إذا كان الـ A H هو الـ H A for all A belongs
+
+227
+00:24:53,390 --> 00:24:57,970
+to G يعني إذا كان ال right coset هي ال left coset
+
+228
+00:24:57,970 --> 00:25:04,280
+لجميع عناصر G يبقى بقول هذا بقول عليها ال normal
+
+229
+00:25:04,280 --> 00:25:10,660
+subgroup من G طبعا احنا سابقا كنا نقول ال A H ليس
+
+230
+00:25:10,660 --> 00:25:15,300
+بالضرورة أن تكون subgroup لكن أن كانت normal يبقى
+
+231
+00:25:15,300 --> 00:25:21,240
+automatic هذا subgroup أنت معمل يبقى ال H اللي هي
+
+232
+00:25:21,240 --> 00:25:26,010
+subgroup من G بقول عليها normal subgroup إذا كان
+
+233
+00:25:26,010 --> 00:25:30,510
+الـ left coset يساوي الـ right coset واختصارا بدل
+
+234
+00:25:30,510 --> 00:25:34,910
+ما أقول الـ H is a normal subgroup من G بدي أعبر
+
+235
+00:25:34,910 --> 00:25:41,230
+بالرمز المثلث قاعدته جهة G والرأس تبعه جهة من؟ جهة
+
+236
+00:25:41,230 --> 00:25:44,950
+H خلي بالك مش حي الله تخلي القاعدة تحت والرأس
+
+237
+00:25:44,950 --> 00:25:50,570
+فوق الرأس دائما جهة ال subgroup والقاعدة جهة من؟ جهة
+
+238
+00:25:50,570 --> 00:25:54,950
+ال group طب في شغل ممكن يفهمها الواحد غلط من خلال
+
+239
+00:25:54,950 --> 00:25:58,610
+ال condition اللي حاطه هذا ايش الحاجة الغلط لو جيت
+
+240
+00:25:58,610 --> 00:26:04,790
+قولتك a h يساوي h a هذا كلام خطأ أنا لما أقول a h
+
+241
+00:26:04,790 --> 00:26:08,370
+بيساوي شيء يعني ال left coset بيساوي ال right coset
+
+242
+00:26:08,370 --> 00:26:14,570
+إذا بدي أتكلم بلغة ال elements بيقول a h one يساوي
+
+243
+00:26:16,110 --> 00:26:20,010
+هو الـ H2 رقم ثاني و element ثاني ليس نفس ال
+
+244
+00:26:20,010 --> 00:26:24,930
+element قد يكون نفس ال element لكن in general لأ
+
+245
+00:26:24,930 --> 00:26:31,370
+مش صحيح يبقى لما أقول هذه H بيساوي HA يعني AH1
+
+246
+00:26:31,370 --> 00:26:37,290
+بيساوي H2A رقم ثاني أو element ثاني غير ال element
+
+247
+00:26:37,290 --> 00:26:42,350
+اللي عندنا يبقى بقولش AH بيساوي HA و لما بقول AH1
+
+248
+00:26:42,350 --> 00:26:45,090
+يساوي H2A
+
+249
+00:26:46,550 --> 00:26:51,370
+التعريف هذا اللي عندنا بدي أحاول أصيغه صياغة أخرى،
+
+250
+00:26:51,370 --> 00:26:55,910
+تمام؟ ليهاشي الصياغة الأخرى؟ بل بدل الصياغة تلاتة 
+
+251
+00:26:56,420 --> 00:27:01,320
+أيّش الصيغة الأخرى؟ أنا بإمكاني هنا لو ضربت في الـ A
+
+252
+00:27:01,320 --> 00:27:05,300
+inverse من جهة اليمين أو الـ A inverse من جهة الشمال
+
+253
+00:27:05,300 --> 00:27:10,540
+فبيصير عندي A H A inverse يساوي من؟ يساوي الـ H شرط
+
+254
+00:27:10,540 --> 00:27:15,920
+الـ normality أو لو ضربت من جهة الشمال بيصير الـ H 
+
+255
+00:27:15,920 --> 00:27:23,260
+يساوي A inverse H A شرطاني للـ normality ممكن أقول
+
+256
+00:27:23,260 --> 00:27:31,150
+AH small A inverse موجودة في H كابتل لأن هذا
+
+257
+00:27:31,150 --> 00:27:36,170
+بيستوي H يبقى الـ A H small A inverse كـ element
+
+258
+00:27:36,170 --> 00:27:42,450
+موجود في H برضه شرط اللي اللي هو صيغة أخرى
+
+259
+00:27:42,450 --> 00:27:46,550
+للـ normality نظريتها ده أيّش بتقولي؟ بقول افترض الـ H
+
+260
+00:27:46,550 --> 00:27:50,070
+normal subgroup أو الـ H هي normal subgroup من G if
+
+261
+00:27:50,070 --> 00:27:55,300
+and only if الـ X H X inverse subset من مين؟ من H
+
+262
+00:27:55,300 --> 00:28:00,140
+ما هو إن كان التساوي حاصل إذن automatic هدي مين؟
+
+263
+00:28:00,140 --> 00:28:04,420
+هذه subset من هذه طبعًا التساوي حصل من هنا قلت لك لو
+
+264
+00:28:04,420 --> 00:28:08,480
+ضربت في الـ A inverse من اليمين أو لشمال بيطلع
+
+265
+00:28:08,480 --> 00:28:12,800
+التساوي أنا بدأ أختصر ولا أقول التساوي بدأ أقول
+
+266
+00:28:12,800 --> 00:28:17,220
+الـ subset رغم أن التساوي كمان صحيح طيب مشان هيك
+
+267
+00:28:17,220 --> 00:28:23,480
+بنروح نثبت صحة هذا الكلام يبقى بدايتي أقوله assume
+
+268
+00:28:23,480 --> 00:28:30,780
+اللي هو الـ H is a normal subgroup من G then
+
+269
+00:28:34,230 --> 00:28:39,130
+يبقى أنا فرضت أن الـ H هذه normal subgroup من G
+
+270
+00:28:39,130 --> 00:28:45,790
+يبقى بناء عليه بدي يصير عندي A H يساوي H A حسب ما
+
+271
+00:28:45,790 --> 00:28:52,070
+حسب الـ definition أو مشان خلي نفس الرموز يبقى بده
+
+272
+00:28:52,070 --> 00:28:58,950
+أقول X H بدي يساوي الـ H X لكل الـ X اللي موجودة في
+
+273
+00:28:58,950 --> 00:29:01,090
+G بلا استثناء
+
+274
+00:29:03,680 --> 00:29:10,640
+طيب تمام أنا بدي أخلق في المثال X H X inverse يبقى
+
+275
+00:29:10,640 --> 00:29:15,440
+بناء عليه لو ضربت الطرفين من جهتي اليمين في X
+
+276
+00:29:15,440 --> 00:29:21,840
+inverse أيّش اللي بدي يصير؟ بدي يصير عندي الـ X H X
+
+277
+00:29:21,840 --> 00:29:26,950
+inverse بدي يساوي مين؟ بدي يساوي الـ H هذا معناه
+
+278
+00:29:26,950 --> 00:29:34,030
+مدام يساوي يبقى الـ X H X inverse subset من مين؟ من
+
+279
+00:29:34,030 --> 00:29:39,110
+الـ H والـ H subset من الـ X H X inverse ما علينا
+
+280
+00:29:39,110 --> 00:29:43,770
+يبقى هاي جيبت له مين؟ الشرط الأول بدي أجيب له الشرط
+
+281
+00:29:43,770 --> 00:29:45,630
+الثاني conversely
+
+282
+00:29:49,190 --> 00:29:57,170
+assume افترض أن الـ X H X inverse subset من مين؟
+
+283
+00:29:57,170 --> 00:30:03,330
+subset من H بدي أحاول أثبت أن الـ H هذه معها is a
+
+284
+00:30:03,330 --> 00:30:09,690
+normal subgroup من جي طيب بجي بقوله then
+
+285
+00:30:12,460 --> 00:30:19,120
+أو قبل then هذه الصحيحة إحنا فرضناها لكل الـ X اللي
+
+286
+00:30:19,120 --> 00:30:24,920
+موجودة أويا في الـ group G بدي أسأل السؤال التالي الـ
+
+287
+00:30:24,920 --> 00:30:28,680
+X inverse موجودة في G ولا لا؟ لأن الـ G جروبه
+
+288
+00:30:28,680 --> 00:30:35,210
+المعكس موجود يبقى بجي بقوله then الـ X inverse
+
+289
+00:30:35,210 --> 00:30:41,390
+موجودة في G implies بدي أطبق عليها الشرط هذا يبقى
+
+290
+00:30:41,390 --> 00:30:47,370
+لو جيت طبقت عليها الشرط هذا بيصير X inverse H X
+
+291
+00:30:47,370 --> 00:30:52,850
+inverse inverse اللي هو subset من من؟ subset من H
+
+292
+00:30:55,030 --> 00:31:02,150
+أو بمعنى آخر بقدر أقول هنا main أن الـ X inverse H
+
+293
+00:31:02,150 --> 00:31:11,830
+X subset من main subset من main من H طيب
+
+294
+00:31:11,830 --> 00:31:19,130
+كويس يبقى هذه الخطوة الأولى لو جبت أو قدرت أثبت أن
+
+295
+00:31:19,130 --> 00:31:26,430
+الـ H هي الـ subset من من الـ X inverse HX بتم
+
+296
+00:31:26,430 --> 00:31:31,550
+المطلوب يبقى بدي أعتبر هذه الخطوة رقم واحد بدي آجي
+
+297
+00:31:31,550 --> 00:31:38,030
+للخطوة رقم اثنين الخطوة رقم واحد لو ضربتها في X من
+
+298
+00:31:38,030 --> 00:31:45,830
+جهة الشمال يبقى أيّش بيصير الـ X X inverse في من؟ في
+
+299
+00:31:45,830 --> 00:31:54,050
+الـ H وهنا X بدي تبقى subset من الـ X H ضربت من جهة
+
+300
+00:31:54,050 --> 00:31:58,610
+الشمال في X يبقى هذا أيّش بدي يعطيك؟ هذا بدي
+
+301
+00:31:58,610 --> 00:32:06,330
+يعطيك أن الـ H X subset من الـ X H بنفس الطريقة اضرب
+
+302
+00:32:06,330 --> 00:32:12,090
+من جهة اليمين في الـ X inverse يبقى لو ضربنا في الـ
+
+303
+00:32:12,090 --> 00:32:19,250
+X inverse بيصير الـ H هي subset من X H X inverse و
+
+304
+00:32:19,250 --> 00:32:22,550
+هذه العلاقة رقم اثنين أطلع لي في الواحد واثنين
+
+305
+00:32:22,550 --> 00:32:33,120
+يبقى باجي بقوله هنا from واحد and اثنين we have إن
+
+306
+00:32:33,120 --> 00:32:40,620
+الـ X H X inverse بده يساوي مين؟ بده يساوي الـ H طب
+
+307
+00:32:40,620 --> 00:32:47,100
+اضرب للطرفين في X من جهتي اليمين يبقى X H بده
+
+308
+00:32:47,100 --> 00:32:52,780
+يساوي H X هالتعريف مين؟ الـ normal هذا بده يعطيك
+
+309
+00:32:52,780 --> 00:32:57,660
+أن الـ H is a normal subgroup من مين؟ من G وأنت
+
+310
+00:32:57,660 --> 00:33:00,120
+هنا من المسألة
+
+311
+00:33:04,330 --> 00:33:12,130
+الآن خذ لي هالملاحظة اللي قلت لك قبل قليل وهي صورة
+
+312
+00:33:12,130 --> 00:33:17,030
+من صورة الـ normality بيقول لي the above theorem the
+
+313
+00:33:17,030 --> 00:33:26,450
+above theorem the above theorem can be written as
+
+314
+00:33:26,450 --> 00:33:36,160
+can be written as ممكن نكتبها على الشكل التالي أن
+
+315
+00:33:36,160 --> 00:33:46,820
+الـ a أو الـ h is a normal subgroup من g if and only
+
+316
+00:33:46,820 --> 00:33:56,180
+if الـ x h x inverse belongs لمن؟ belongs لـ الـ H لكل
+
+317
+00:33:56,180 --> 00:34:01,340
+الـ X اللي موجود وين؟ في جيب بلا استثناء
+
+318
+00:34:18,040 --> 00:34:25,960
+مرة ثانية الملاحظة هذه بتقول أن التعريف الـ
+
+319
+00:34:25,960 --> 00:34:32,640
+normality استنتج من النظرية النظرية الآن أنا بدي
+
+320
+00:34:32,640 --> 00:34:37,240
+أصيغها هذه مرة ثانية فبجي بقول الـ H normal
+
+321
+00:34:37,240 --> 00:34:42,220
+subgroup من G إذا كان X H يا small يعني element من
+
+322
+00:34:42,220 --> 00:34:47,460
+H في X inverse بقول belong to H لأنه صار عنصر
+
+323
+00:34:47,460 --> 00:34:51,640
+العنصر بقولش substitute إنما بقول main belong to H
+
+324
+00:34:51,640 --> 00:34:55,760
+يعني حصل ضرب الـ X اللي هو من G في الـ element اللي
+
+325
+00:34:55,760 --> 00:34:58,580
+هو من H في معكوس الـ element تبع الـ G الثلاثة
+
+326
+00:34:58,580 --> 00:35:02,970
+بديكون one موجود في H وهي الموضوع تبعها هذي normal
+
+327
+00:35:02,970 --> 00:35:07,290
+إذا كان الـ X H X inverse belongs to the main للـ H
+
+328
+00:35:07,290 --> 00:35:12,130
+يبقى لو قالي من الآن فصاعدًا أثبت أن الـ H is a normal
+
+329
+00:35:12,130 --> 00:35:18,130
+subgroup من G يكفيني main هذا الشرط أو هذا الشرط أو
+
+330
+00:35:18,130 --> 00:35:22,190
+هذا الشرط يبقى اللي تقدر عليه من الثلاثة اشتغله
+
+331
+00:35:22,190 --> 00:35:26,970
+وتوكل على الله طيب بدنا نبدأ نأخذ بعض الأمثلة
+
+332
+00:35:26,970 --> 00:35:32,330
+ونبدأ بأبسط أنواع الأمثلة السؤال هو لو عندي group
+
+333
+00:35:32,330 --> 00:35:37,470
+abelian والجروب هذه أخذت منها الـ subgroup السؤال
+
+334
+00:35:37,470 --> 00:35:45,270
+هو هل الـ subgroup هذه بتبقى normal يعني هل يتحقق الـ
+
+335
+00:35:45,270 --> 00:35:50,160
+condition اللي عندي هذاليش؟ لأن abelian أنا بقول
+
+336
+00:35:50,160 --> 00:35:55,420
+بقدر أبدل هدول أي مكان بعض لو بدلتهم بيصير H XX
+
+337
+00:35:55,420 --> 00:36:00,320
+inverse لو H في E لهو بـ H يبقى H موجودة وإن موجودة
+
+338
+00:36:00,320 --> 00:36:03,720
+في H وبالتالي الشرط متحقق إذا الـ group هذي أيّه؟
+
+339
+00:36:03,720 --> 00:36:08,580
+normal group يبقى أول قاعدة بأخذها إنه لو كانت الـ
+
+340
+00:36:08,580 --> 00:36:13,940
+group abelian يبقى any subgroup is normal يبقى
+
+341
+00:36:13,940 --> 00:36:29,400
+أول مثال بيقول any subgroup of an abelian group is
+
+342
+00:36:29,400 --> 00:36:36,380
+normal مثال
+
+343
+00:36:36,380 --> 00:36:42,000
+اثنين طبعًا
+
+344
+00:36:42,000 --> 00:36:47,080
+الـ condition هيه عندك أقول لك هذه لو تحقق الـ
+
+345
+00:36:47,080 --> 00:36:51,820
+condition هنا موجود الآن abelian بقدر أبدله
+
+346
+00:36:51,820 --> 00:36:58,420
+وبالتالي بيبقى عندي H موجود فيه H طيب النقطة
+
+347
+00:36:58,420 --> 00:37:02,600
+الثانية الـ center تبع الـ group هل هو الـ subgroup
+
+348
+00:37:02,600 --> 00:37:03,460
+من الـ group G
+
+349
+00:37:06,550 --> 00:37:14,770
+الـ Center تبع بجروب الـ Z of G أنا أدعي أن الـ A
+
+350
+00:37:14,770 --> 00:37:18,510
+normal subgroup منين؟ من G
+
+351
+00:37:21,130 --> 00:37:24,530
+بآجي بقوله كويس إذا تحقق أيّ condition من الـ
+
+352
+00:37:24,530 --> 00:37:28,850
+conditions اللي عندي هدول بكون خلصنا من الموضوع
+
+353
+00:37:28,850 --> 00:37:34,670
+تمام كيف الآن خلاني نحقق أيّ condition هادي هادي
+
+354
+00:37:34,670 --> 00:37:40,550
+هادي السيانة بتفرجش عننا الآن لو رحت أخذ أيّ عنصر
+
+355
+00:37:40,550 --> 00:37:44,550
+عندي في الـ group G وبدي أضربه في الـ center تبع الـ
+
+356
+00:37:44,550 --> 00:37:47,350
+H هنا solution
+
+357
+00:37:50,630 --> 00:38:00,150
+الآن Z of G هو مجلد من G بدي أعمل left coset عندي
+
+358
+00:38:00,150 --> 00:38:08,330
+يبقى بآدي بقوله لكل الـ X موجود في G then الـ X في
+
+359
+00:38:08,330 --> 00:38:16,500
+الـ center بتابع الـ G بده يساوي أظن الـ X هذي تتعامل
+
+360
+00:38:16,500 --> 00:38:23,060
+مع جميع عناصر Z أو عناصر Z of G تتعامل مع جميع
+
+361
+00:38:23,060 --> 00:38:28,820
+عناصر G إذا هذي تتعامل مع الـ Z كلها اللي عندنا
+
+362
+00:38:28,820 --> 00:38:37,780
+يبقى هذا بده يعطيني Z of G Z of G في X الشكل اللي
+
+363
+00:38:37,780 --> 00:38:42,440
+عندنا هنا كان بإمكاني أبدأ غير هيك أروح أقول له
+
+364
+00:38:42,440 --> 00:38:49,540
+تعال نشوف X Z of G X inverse شو بده تعطيني وأجيب
+
+365
+00:38:49,540 --> 00:38:54,260
+من وأجيب الـ X أبدلها بالشكل هذا بتيجي الـ X يعني
+
+366
+00:38:54,260 --> 00:38:59,060
+كان بإمكاني بدل ما أقول هيك أقول تعال نشوف الـ
+
+367
+00:38:59,060 --> 00:39:04,100
+group يعني وأروح أحط هنا من X inverse أشوف وين
+
+368
+00:39:04,100 --> 00:39:09,030
+بده توصلني يعني بقول لك كويس هذا الكلام الـ X كميوت
+
+369
+00:39:09,030 --> 00:39:14,850
+مع جميع العناصر اللي موجودة في Z إذا هذه بقدر أقول
+
+370
+00:39:14,850 --> 00:39:21,320
+Z of G وهنا X وهذه الـ X انفرس اللي عندنا هذه
+
+371
+00:39:21,320 --> 00:39:26,380
+بتعطينا مين؟ الـ identity element الـ identity
+
+372
+00:39:26,380 --> 00:39:31,580
+element في أيّ subgroup والله بتعطيني نفس الـ
+
+373
+00:39:31,580 --> 00:39:38,320
+subgroup تمام يبقى أسار X Z of G X inverse بدي
+
+374
+00:39:38,320 --> 00:39:44,480
+أسوأ من Z of G أضرب من جهة اليمين في X هذا بدي
+
+375
+00:39:44,480 --> 00:39:52,350
+يعطيك إن الـ X في Z of G في الـ X inverse بده تجيلك 
+
+376
+00:39:52,350 --> 00:39:59,750
+كمان X بده يساوي Z of G في من في ال X هذا بده 
+
+377
+00:39:59,750 --> 00:40:06,210
+يعطيلك إن ال X في Z of G طلعلي هذا الشيء بيعطينا ال
+
+378
+00:40:06,210 --> 00:40:10,250
+identity في أي element من نفس ال element والطرف
+
+379
+00:40:10,250 --> 00:40:17,650
+اليمين Z of G أو ال X في .. هذا بيعطيك Z of G في
+
+380
+00:40:17,650 --> 00:40:23,550
+من؟ في ال X هذا بدي أعطيلك إن Z of G is a normal
+
+381
+00:40:23,550 --> 00:40:27,590
+subgroup من G يعني .. يعني قلت الفكرة البسيطة
+
+382
+00:40:27,590 --> 00:40:31,710
+الأولى اللي قلناها أوي الثانية كله بيأدي إلى نفس
+
+383
+00:40:31,710 --> 00:40:37,100
+الموضوع والله بيكفل اللي قلناها بس احنا مسحناها
+
+384
+00:40:37,100 --> 00:40:43,080
+القطعة اللي كنا .. هذه الآن X Z X inverse بده يسوي
+
+385
+00:40:43,080 --> 00:40:47,080
+مين؟ بده يسوي ..
+
+386
+00:40:47,080 --> 00:40:51,160
+خليكم معايا احنا هذي ال subgroup أخدنا X في G
+
+387
+00:40:51,160 --> 00:40:55,440
+وقلنا تعال شوف المقدر هذا إيش بيعطينا يعني أنا
+
+388
+00:40:55,440 --> 00:41:00,220
+جيت أشوف هذا شو بدي يعطينا امشي طلع مين طلع هو Z
+
+389
+00:41:00,220 --> 00:41:06,350
+of G اللي هي الـ subset النظرية subset وما قلناش
+
+390
+00:41:06,350 --> 00:41:12,730
+تساوي لإن احنا الـ subset جبنا من اليساوي لو قدرت تثبت
+
+391
+00:41:12,730 --> 00:41:17,230
+هذا الكلام إن هذا بيساوي هذا بيكون قد الواجب بس
+
+392
+00:41:17,230 --> 00:41:21,710
+أنا بدي أحاول أحط لك التعريف كلام صح مظبوط ما حدا
+
+393
+00:41:21,710 --> 00:41:24,790
+بيقدر يقول غلط فيه هذا بس أنا حبيت أجيب التعريف
+
+394
+00:41:24,790 --> 00:41:28,910
+الأساسي لكن لو قلت لحد هنا يبقى normal خلاصنا ولا
+
+395
+00:41:28,910 --> 00:41:34,440
+واحد اللي اعترض عليك يبقى هذا بالنسبة للمثال رقم
+
+396
+00:41:34,440 --> 00:41:40,000
+اثنين طب نجيب لك مثال رقم ثلاثة أنا بدي أجيب لك من
+
+397
+00:41:40,000 --> 00:41:44,800
+الشغلات اللي مرت عليك بدنا مش نبعد لسه سمعت بال
+
+398
+00:41:44,800 --> 00:41:49,000
+special linear group of two by two matrices over R
+
+399
+00:41:49,000 --> 00:41:56,770
+أنا أدعي إن هذه كمان normal الآن الـ special linear
+
+400
+00:41:56,770 --> 00:42:02,150
+group of two by two matrices over R هذي normal من
+
+401
+00:42:02,150 --> 00:42:06,070
+الـ general linear group of two by two matrices
+
+402
+00:42:06,070 --> 00:42:11,990
+over R ليش هذي؟ بدي أثبت شرطين الشرط الأول إنّها 
+
+403
+00:42:11,990 --> 00:42:17,230
+subgroup اثنين بدي أثبت خاصية الـ normality يبقى
+
+404
+00:42:17,230 --> 00:42:19,450
+الآن solution
+
+405
+00:42:22,250 --> 00:42:26,870
+بتروح تقول إيه الـ special linear group of two by
+
+406
+00:42:26,870 --> 00:42:31,330
+two matrices over R subgroup من الـ general linear
+
+407
+00:42:31,330 --> 00:42:38,350
+group of two by two matrices over R وهذه مثال
+
+408
+00:42:38,350 --> 00:42:47,010
+سابق هذه أثبتناها قبل ذلك طب كويس الآن بروح آخذ
+
+409
+00:42:47,010 --> 00:42:51,990
+element من G وبدي آخذ element من الـ special واشوف
+
+410
+00:42:51,990 --> 00:42:55,690
+حصل ضرب الـ element من G في الـ element من الـ
+
+411
+00:42:55,690 --> 00:43:00,390
+special في معكوس الـ element تبعي انطلع والله الـ
+
+412
+00:43:00,390 --> 00:43:03,330
+determinant إيه اللي بدي يساوي واحد بيكون حصل
+
+413
+00:43:03,330 --> 00:43:06,260
+الضرب هذا موجود وإنّ الـ special وبالتالي الـ
+
+414
+00:43:06,260 --> 00:43:11,840
+special هه normal subgroup من main من G يبقى
+
+415
+00:43:11,840 --> 00:43:14,480
+بالداخل أكتب لك الحل على الشجرة الثانية
+
+416
+00:43:28,720 --> 00:43:34,740
+أفترض أن الـ A موجودة في الـ general linear group of
+
+417
+00:43:34,740 --> 00:43:41,000
+2 by 2 matrices over R ويكون موجودة في الـ special
+
+418
+00:43:41,000 --> 00:43:48,000
+linear group of 2 by 2 matrices over R أريد أن آخذ
+
+419
+00:43:48,000 --> 00:43:54,640
+الـ A بـ A إنفرس إذا كنت أثبت إنّ هذه موجودة في الـ
+
+420
+00:43:54,640 --> 00:43:58,860
+Special يبقى هو الشرط اللي قلنا عليه الشرط الثالث
+
+421
+00:43:58,860 --> 00:44:03,200
+هو المساحنة أه هذه موجودة تمام يبقى بدي أحاول
+
+422
+00:44:03,200 --> 00:44:09,300
+أثبتها فبدي آخذ determinant لمين لهذه المصفوفة
+
+423
+00:44:09,300 --> 00:44:15,530
+يبقى حسب الجبر الخطي هذه determinant للـ A في
+
+424
+00:44:15,530 --> 00:44:19,970
+الـ determinant للـ B في الـ determinant للـ A
+
+425
+00:44:19,970 --> 00:44:23,650
+inverse صاروا هدور الـ real numbers الـ real
+
+426
+00:44:23,650 --> 00:44:28,350
+numbers are commutes يبقى هذا الـ determinant للـ
+
+427
+00:44:28,350 --> 00:44:33,070
+A في الـ determinant للـ A inverse في الـ
+
+428
+00:44:33,070 --> 00:44:37,870
+determinant للـ B يبقى .. بدي أرجعه إلى أصله يبقى
+
+429
+00:44:37,870 --> 00:44:42,170
+الـ determinant للـ A في الـ A inverse في الـ
+
+430
+00:44:42,170 --> 00:44:47,280
+determinant للـ B المصفوفة فيما عكوزها بالـ
+
+431
+00:44:47,280 --> 00:44:52,240
+determinant لمصفوفة الوحدة في الـ determinant للـ B
+
+432
+00:44:52,240 --> 00:44:58,920
+محدد مصفوفة الوحدة قديش؟ واحد صحيح محدد المصفوفة بـ
+
+433
+00:44:58,920 --> 00:45:03,320
+B برضه بواحد لأنها موجودة وين؟ بالـ Special يبقى
+
+434
+00:45:03,320 --> 00:45:09,800
+الـ
+
+435
+00:45:09,800 --> 00:45:14,980
+ABA inverse موجودة في الـ Special Linear Group of
+
+436
+00:45:14,980 --> 00:45:20,280
+2x2 matrices over R بناء عليه الـ Special Linear
+
+437
+00:45:20,280 --> 00:45:25,400
+Group of 2x2 matrices over R is a normal subgroup
+
+438
+00:45:25,400 --> 00:45:30,620
+من الـ General Linear Group of 2x2 matrices over R
+
+439
+00:45:31,450 --> 00:45:38,970
+يبقى هذا مثال آخر على ال .. على اللي عندنا خذ مثال
+
+440
+00:45:38,970 --> 00:45:43,390
+أربعة مثال
+
+441
+00:45:43,390 --> 00:45:49,030
+أربعة the alternating
+
+442
+00:45:49,030 --> 00:45:53,490
+group
+
+443
+00:45:53,490 --> 00:45:59,850
+the alternating group أربعة
+
+444
+00:46:04,190 --> 00:46:10,170
+الثاني جروب An is
+
+445
+00:46:10,170 --> 00:46:19,130
+a normal subgroup من من الـ Sn ليش
+
+446
+00:46:19,130 --> 00:46:22,450
+هذي normal باجي بقوله because
+
+447
+00:46:26,200 --> 00:46:31,900
+بدي آخذ element في Sn و element في An طبعا أنا
+
+448
+00:46:31,900 --> 00:46:36,460
+أخذناها سابقا إنّها الـ subgroup مظبوط الـ a for
+
+449
+00:46:36,460 --> 00:46:42,680
+because الـ An هذي الـ subgroup من الـ Sn and
+
+450
+00:46:45,520 --> 00:46:55,140
+Alpha موجودة في الـ S in and Beta موجودة في الـ A in
+
+451
+00:46:55,140 --> 00:47:05,920
+then أخذ العنصر Sn والعنصر An ومعكس العنصر Sm لو
+
+452
+00:47:05,920 --> 00:47:11,420
+طلع هذا الكلام even يبقى هذا حصلت ضربوين في Sn
+
+453
+00:47:11,420 --> 00:47:19,110
+يكون خلصنا يبقى هذا الكلام هادئة قد تكون even وقد
+
+454
+00:47:19,110 --> 00:47:24,150
+تكون odd لنا في الـ sense إن كان even يبقى معكوسة
+
+455
+00:47:24,150 --> 00:47:28,370
+even هذه even ما عنديش مشكلة إن كان هذه odd هذه
+
+456
+00:47:28,370 --> 00:47:32,370
+even هذه odd يبقى المجموع اللي هو even وبالتالي
+
+457
+00:47:32,370 --> 00:47:36,770
+هذه موجودة على طول الخط طبعا أثبتناها قبل إيه
+
+458
+00:47:36,770 --> 00:47:44,930
+أخذناها سؤال وحلناه يبقى then هذه موجودة في الـ An
+
+459
+00:47:44,930 --> 00:47:54,870
+because السبب إنّ even زائد even زائد even بده
+
+460
+00:47:54,870 --> 00:48:05,410
+يساوي even and odd زائد even زائد odd بده يعطينا
+
+461
+00:48:05,410 --> 00:48:10,870
+even مشان هيك هذه normal طبعا بنكمل في المحاضرة
+
+462
+00:48:10,870 --> 00:48:12,950
+القادمة إن شاء الله 
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/RNahrP2LIYY.srt b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/RNahrP2LIYY.srt
new file mode 100644
index 0000000000000000000000000000000000000000..16a3982fa75760c9dc670bcf6fda1420e846b565
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/RNahrP2LIYY.srt
@@ -0,0 +1,1819 @@
+1
+00:00:21,580 --> 00:00:26,400
+بسم الله الرحمن الرحيم في نهاية المحاضرة الماضية
+
+2
+00:00:26,400 --> 00:00:31,940
+أخذنا نظرية النظرية بتقول لو عندي رقمين S و T are
+
+3
+00:00:31,940 --> 00:00:37,970
+relatively prime يبقى الـ U<sub>S</sub>T isomorphic للـ U<sub>S</sub>
+
+4
+00:00:37,970 --> 00:00:43,470
+External Product مع من مع الـ U<sub>T</sub> يعني بقدر أكتب
+
+5
+00:00:43,470 --> 00:00:48,230
+الـ U<sub>N</sub> على صيغة External Product لمن؟ لـ two
+
+6
+00:00:48,230 --> 00:00:52,070
+groups لـ three groups لـ four groups وما إلى ذلك
+
+7
+00:00:52,070 --> 00:00:57,840
+بشرط يكون ال S و ال T are relatively prime وأخذنا
+
+8
+00:00:57,840 --> 00:01:06,060
+كمان نقطة أن U<sub>S</sub>T على S isomorphic ل U<sub>T</sub> وكذلك U
+
+9
+00:01:06,060 --> 00:01:12,820
+T ل U<sub>S</sub>T isomorphic ل U<sub>S</sub> وزيادة على ذلك رولر
+
+10
+00:01:12,820 --> 00:01:18,300
+عليها بنقول لو عندنا الرقم M واستطعنا الـ M نكتبه
+
+11
+00:01:18,300 --> 00:01:23,100
+على الشكل التالي يبقى M بده يساوي N واحد
+
+12
+00:01:26,550 --> 00:01:32,090
+بحيث أي اثنين من هذه الأرقام are relatively prime
+
+13
+00:01:32,090 --> 00:01:37,790
+يعني n<sub>i</sub> مع n<sub>j</sub> اثنين are relatively prime لكل i لا
+
+14
+00:01:37,790 --> 00:01:43,440
+تساوي j يبقى في هذه الحالة بقدر أقول أن الـ U<sub>M</sub>
+
+15
+00:01:43,440 --> 00:01:54,000
+ايزو مورفيك كلمة لـ U<sub>N<sub>1</sub></sub> U<sub>N<sub>2</sub></sub> U<sub>N<sub>3</sub></sub> U<sub>N</sub> لغاية الـ
+
+16
+00:01:54,000 --> 00:02:02,330
+U<sub>N<sub>N</sub></sub> الآن إن والله إن كهذه عملها لـ إن كهذه يبقى هذه
+
+17
+00:02:02,330 --> 00:02:07,890
+بالصغيرة إن كهذه بالشكل اللي عندنا هذا طبعًا الآن
+
+18
+00:02:07,890 --> 00:02:13,210
+بدي الآن أشتغل عمليًا بيقول لي هاي عندك اليوم 105
+
+19
+00:02:13,210 --> 00:02:17,990
+بتقدر تكتبها لي على الشكل اللي عندك كده؟ بمعنى هل
+
+20
+00:02:17,990 --> 00:02:23,410
+بتقدر تكتب الـ 105 على شكل isomorphic ل two groups؟
+
+21
+00:02:23,410 --> 00:02:29,370
+الإجابة نعم نعم كيف؟ بتدور على رقمين ال relative
+
+22
+00:02:29,370 --> 00:02:34,330
+to prime وحاصل ضربهما يساوي 105 بتقدر تعطوني
+
+23
+00:02:34,330 --> 00:02:43,090
+رقمين؟ 21 وخمسة كويس يبقى هذا اللي هو عبارة
+
+24
+00:02:43,090 --> 00:02:54,010
+عن U اللي هو 21 مضروبة في 5
+
+25
+00:02:54,010 --> 00:02:59,620
+يبقى هذه isomorphic ل U<sub>21</sub> External
+
+26
+00:02:59,620 --> 00:03:11,640
+Product مع U<sub>5</sub> كمان الـ U<sub>105</sub> عبارة عن U<sub>15</sub>
+
+27
+00:03:11,640 --> 00:03:19,260
+في 7 في 15 × أو 5 يبقى هذا الكلام isomorphic
+
+28
+00:03:19,260 --> 00:03:27,060
+لمن؟ لـ U<sub>15</sub> Extended like product مع مين؟ مع U<sub>7</sub>
+
+29
+00:03:27,060 --> 00:03:34,950
+أجواح التالت منكم سمعت بيقول الـ U<sub>105</sub> هي عبارة عن
+
+30
+00:03:34,950 --> 00:03:41,990
+U<sub>35</sub> في 3 بقوله كلامك صح يبقى هذه
+
+31
+00:03:41,990 --> 00:03:47,510
+isomorphic لـ U<sub>35</sub> external product مع
+
+32
+00:03:47,510 --> 00:03:54,550
+U<sub>3</sub> هجوا على التالت قال الـ U<sub>105</sub> هذه الـ U
+
+33
+00:03:54,550 --> 00:04:03,020
+105 بدها تساوي الـ U<sub>3</sub> في 5 في 7 3 و
+
+34
+00:04:03,020 --> 00:04:06,760
+كلهم تلاتة are relatively prime يبقى هذي
+
+35
+00:04:06,760 --> 00:04:12,360
+isomorphic لمين؟ ليه<sub>3</sub> external direct product
+
+36
+00:04:12,360 --> 00:04:17,500
+ليه<sub>5</sub> external direct product لمين؟ ليه<sub>7</sub>
+
+37
+00:04:17,500 --> 00:04:21,140
+يعني ليس بالضرورة أن يكون two groups وهنا ممكن
+
+38
+00:04:21,140 --> 00:04:27,850
+يكون ثلاثة ممكن أربعة ممكن يكون K من الأرقام اللي
+
+39
+00:04:27,850 --> 00:04:31,770
+كلها relative لأن إذا أخذت أي اثنين مع بعض بيكونوا
+
+40
+00:04:31,770 --> 00:04:35,890
+relatively main و relatively prime هذا بالنسبة
+
+41
+00:04:35,890 --> 00:04:40,950
+لمن؟ للنقطة الأولى والنقطة الثالثة لو جيت للنقطة
+
+42
+00:04:40,950 --> 00:04:48,430
+الثانية وبدي أحسب لأي رقم منهم بدي أحسب U مثلاً
+
+43
+00:04:48,430 --> 00:04:55,200
+15 ل 105 يساوي تعرف مين عناصرها
+
+44
+00:04:55,200 --> 00:05:00,540
+المرة اللي فاتت أعطيناكم تعريف لها وقلنا كل
+
+45
+00:05:00,540 --> 00:05:05,640
+العناصر X بحيث أن الـ X modulo K بدي يعطيني الواحد
+
+46
+00:05:05,640 --> 00:05:10,220
+الصحيح تعريف كتبناه معاكم المرة اللي فاتت إذا بدي
+
+47
+00:05:10,220 --> 00:05:17,680
+أدور على عناصر الـ 105 وأروح أجيب عناصر الـ U<sub>15</sub> على
+
+48
+00:05:17,680 --> 00:05:23,610
+105 أظن لو بدي أقعد أكتب عناصر الـ 105 كلهم هتأخذنا
+
+49
+00:05:23,610 --> 00:05:27,350
+خمس دقائق ونحن قاعدين نستنتج مين اللي رتب الـ
+
+50
+00:05:27,350 --> 00:05:33,530
+prime مع 105 لذلك بقول لا بدي أحسب مباشرة
+
+51
+00:05:33,530 --> 00:05:39,750
+في U<sub>15</sub> 105 الواحد منهم لأن الواحد ناقص
+
+52
+00:05:39,750 --> 00:05:45,190
+واحد يساوي صفر مضاعفات الـ 15 طيب الـ 16
+
+53
+00:05:45,190 --> 00:05:50,660
+منهم يعني أنت الخامس والـ 16 ده ما نحط رقم قدامه ولما
+
+54
+00:05:50,660 --> 00:05:54,460
+تحط رقم قدامه تتأكد أن الرقم هذا relatively
+
+55
+00:05:54,460 --> 00:05:58,160
+prime على الـ 105 ولا لا تمام؟ حتى يكون من
+
+56
+00:05:58,160 --> 00:06:02,200
+عناصر الـ 105 الـ 16 من عناصر الـ 105
+
+57
+00:06:02,200 --> 00:06:05,340
+لأنهم بيقسمش غير على 2 و 4 و 8 وهذه
+
+58
+00:06:05,340 --> 00:06:10,480
+كلها relatively prime على الـ 105 يبقى 16
+
+59
+00:06:10,480 --> 00:06:16,330
+شريك 31 منهم؟ و31 و15 في
+
+60
+00:06:16,330 --> 00:06:20,630
+32 و1 31 والـ 31
+
+61
+00:06:20,630 --> 00:06:24,210
+is a prime وبالتالي relative to the prime مع أي
+
+62
+00:06:24,210 --> 00:06:30,630
+منها طيب 46 46 relative to the
+
+63
+00:06:30,630 --> 00:06:35,590
+prime مع الـ 105 له 2 في 23
+
+64
+00:06:35,590 --> 00:06:38,590
+2 relative to the prime والـ 23 يبقى
+
+65
+00:06:38,590 --> 00:06:43,900
+فعلاً الـ 46 منهم طيب الـ 61 أنا بضيف
+
+66
+00:06:43,900 --> 00:06:48,380
+كله 5 عشان تمام الـ 61 منهم لأن 1 و
+
+67
+00:06:48,380 --> 00:06:54,060
+60 is a prime كذلك طيب الآن لو جيت على الـ 6 و
+
+68
+00:06:54,060 --> 00:07:00,300
+70 6 و70 اه هذا لما نشيل من 15 مضل
+
+69
+00:07:00,300 --> 00:07:03,580
+جداش مضل 1 كلام صحيح لكن هل الـ 6 و70
+
+70
+00:07:03,580 --> 00:07:08,000
+relative ل prime مع الـ 105 على 5 بتجيش
+
+71
+00:07:08,000 --> 00:07:13,920
+وعلى 7 بتجيش وعلى 3 برضه بتجيش ويبقى الـ 6
+
+72
+00:07:13,920 --> 00:07:20,600
+و70 كذلك منهم طيب الـ 91 75
+
+73
+00:07:20,600 --> 00:07:25,280
+و15 90 كمان 1 91 معاهم حط يعني
+
+74
+00:07:25,280 --> 00:07:33,410
+طب 7 في 13 بقداش؟ و91 طب الـ 7 بتكسب على
+
+75
+00:07:33,410 --> 00:07:38,070
+7 والـ 105 بتكسب على 7 يبقى الـ 91 مش منهم
+
+76
+00:07:38,070 --> 00:07:43,910
+بدي كمان 15 بكون في التواصل 105,106 برا الرقم
+
+77
+00:07:43,910 --> 00:07:50,630
+انتهينا منه يبقى لا يوجد إلا هذه الأرقام تمام شوفت
+
+78
+00:07:50,630 --> 00:07:55,630
+كيف بنحسبها اختار لي أي رقم من عندك من الأرقام اللي
+
+79
+00:07:55,630 --> 00:08:01,470
+هي اللي بتقسم 105 حتى نحسبها طيب هدها اللي هو 15
+
+80
+00:08:01,470 --> 00:08:11,800
+أليس isomorphic لـ 7 لأن 7 في 15 ب 105
+
+81
+00:08:11,800 --> 00:08:16,340
+و5 ونحن قلنا هنا الـ U<sub>S</sub> على S<sub>T</sub> isomorphic
+
+82
+00:08:16,340 --> 00:08:21,360
+لمين؟ لـ U<sub>T</sub> يبقى نحن هنا قلنا U<sub>15</sub> وهذا
+
+83
+00:08:21,360 --> 00:08:25,000
+عبارة عن 15 في 7 يبقى isomorphic لـ U<sub>7</sub>
+
+84
+00:08:25,000 --> 00:08:30,170
+U<sub>7</sub> كم عنصر فيه؟ 6 عناصر هدول 6 1 2
+
+85
+00:08:30,170 --> 00:08:34,490
+3 4 5 6 كلها مناصعية 100 ل 100 تمام
+
+86
+00:08:34,490 --> 00:08:39,450
+اختار لي كمان رقم آخر نحسبه لك بنفس الطريقة اللي
+
+87
+00:08:39,450 --> 00:08:48,470
+بدك إياها يومين نحسب نحسب كمان واحد بكفي يوم 15
+
+88
+00:08:48,470 --> 00:08:54,730
+35 35 أنت جبت أسهل حاجة طب
+
+89
+00:08:54,730 --> 00:08:57,270
+من أنا ما أعرف يعطيني الشمال اللي فيه يلا يا أبو
+
+90
+00:08:57,270 --> 00:09:02,170
+واحد أول واحد منهم 36 الواحد اه معروف
+
+91
+00:09:02,170 --> 00:09:06,310
+أجنب عليه 36 36 منهم مختلف منهم
+
+92
+00:09:06,310 --> 00:09:11,550
+بص بص بص 36 منهم 36 اللي تبلى
+
+93
+00:09:11,550 --> 00:09:15,850
+prime مع 105 مش بيكسب مع 3 36
+
+94
+00:09:15,850 --> 00:09:20,170
+ايه ده مش منهم حطه على شجرة يلا 71 71
+
+95
+00:09:20,170 --> 00:09:30,240
+71 منهم أكيد؟ اسمها يا راجل يعني
+
+96
+00:09:30,240 --> 00:09:37,060
+مش منهم طب أنا بدأ أحط منهم هذا هو طب خلصنا ولا
+
+97
+00:09:37,060 --> 00:09:43,860
+فيه كمان؟ كده إيش بصير؟
+
+98
+00:09:43,860 --> 00:09:48,760
+بره يبقى ما عنديش إلا رقمين، تمام؟ هذا اللي هو مين
+
+99
+00:09:48,760 --> 00:09:56,340
+اللي هو U<sub>35</sub> وهذا isomorphic لمن؟ ليه<sub>3</sub>
+
+100
+00:09:56,340 --> 00:10:02,120
+لما قلنا هنا isomorphic لـ U<sub>3</sub> وهكذا
+
+101
+00:10:02,120 --> 00:10:07,060
+تمام؟ الخطر أن نجيب رقم كبير لأن هذا سهل يعني جيب
+
+102
+00:10:07,060 --> 00:10:13,540
+عندي أعداد كثيرة زي إيش مثلاً زي U<sub>105</sub> أبصار
+
+103
+00:10:13,540 --> 00:10:18,640
+قديش يلا أختار لك 7 15 15 خدناه يبقى
+
+104
+00:10:18,640 --> 00:10:22,640
+بدك 21 5 اه 21
+
+105
+00:10:44,500 --> 00:10:48,020
+مين الرقم اللي لو ضربته في 35 بيعطيك 105
+
+106
+00:10:48,020 --> 00:10:52,880
+اللي هو 3 مصبوط وبالتالي هذا isomorphic
+
+107
+00:10:52,880 --> 00:10:58,740
+لـ U<sub>3</sub> وهكذا طيب لو قلنا رقم ثاني U قداش قلتوا
+
+108
+00:10:58,740 --> 00:11:06,060
+21 21 يفجل واحد منهم بعدك
+
+109
+00:11:06,060 --> 00:11:11,880
+22 منهم أكيد ولا لا مش 22
+
+110
+00:11:11,880 --> 00:11:13,780
+اللي هو 2 في 21 اللي في ال prime هو
+
+111
+00:11:13,780 --> 00:11:18,900
+105 اللي هو 22 طب 3 و
+
+112
+00:11:18,900 --> 00:11:27,800
+40 منهم 21 في 2 ب 42 اضغط اضغط اضغط اضغط اضغط
+
+113
+00:11:27,800 --> 00:11:27,960
+اضغط اضغط اضغط اضغط اضغط اضغط اضغط اضغط اضغط اضغط
+
+114
+00:11:27,960 --> 00:11:33,820
+اضغط اضغط اضغط اضغط اضغط اضغط اضغط اضغط اضغط اضغط
+
+115
+00:11:33,820 --> 00:11:34,800
+اضغط اضغط اضغط اضغط اضغط اضغط اضغط اضغط اضغط اضغط
+
+116
+00:11:34,800 --> 00:11:36,780
+اضغط اضغط اضغط اضغط اضغط اضغط اضغط اضغط اضغط اضغط
+
+117
+00:11:36,780 --> 00:11:46,880
+اضغط اضغط اضغط اضغط اضغط اضغط اضغط اضغط اضغط اضغ
+
+118
+00:11:47,650 --> 00:11:53,250
+يبقى هذه اللي هي من الـ 64 طب لو ضربته في
+
+119
+00:11:53,250 --> 00:11:59,390
+4 بصير 81 85 ليس
+
+120
+00:11:59,390 --> 00:12:01,850
+relatively prime مع مين؟ مع 105 لأن هو
+
+121
+00:12:01,850 --> 00:12:06,910
+بيكسب على 5 يبقى حطه على شجرة الآن بعد الـ 4
+
+122
+00:12:06,910 --> 00:12:13,350
+و80 لو ضربت في 5 بصير الـ 105 يبقى
+
+123
+00:12:13,350 --> 00:12:18,170
+انتهينا منه مظبوط يبقى لا يوجد عندي إلا هذه
+
+124
+00:12:18,170 --> 00:12:25,630
+الأرقام وهذا isomorphic ليه<sub>5</sub> تمام لأنه 5 في
+
+125
+00:12:25,630 --> 00:12:31,050
+21 هو اللي ب 105 .. 105 تطلع يه<sub>5</sub> 
+
+126
+00:12:31,050 --> 00:12:35,070
+فيها واحد واتنين وتلاتة وأربعة أربعة أرقام وماعناش
+
+127
+00:12:35,070 --> 00:12:41,100
+هنا إلا مين إلا أربعة أرقام ووضع الشغل هذا كده يبقى
+
+128
+00:12:41,100 --> 00:12:46,320
+الـU اللي عندي جدر تجيبها isomorphic لمين لـgroups
+
+129
+00:12:46,320 --> 00:12:51,460
+أو الـexternal product لمين لـgroups مختلفة ولسه
+
+130
+00:12:51,460 --> 00:12:57,100
+في كلام في هذا الموضوع الكلام ماشي بدي أنتقل من
+
+131
+00:12:57,100 --> 00:13:03,120
+الـU groups أحولها إلى isomorphic لـcyclic اللي هو
+
+132
+00:13:03,120 --> 00:13:09,240
+لـgroups اللي هي Z2 وZ3 وZ4 وZ5 وZ10 وZ30 وما إلى
+
+133
+00:13:09,240 --> 00:13:14,770
+ذلك في عندنا .. اللي هو .. اللي هو قاعدة القاعدة
+
+134
+00:13:14,770 --> 00:13:19,430
+هذه طبعا برهنت في إحدى المراجع التي اعتمد عليها
+
+135
+00:13:19,430 --> 00:13:28,230
+هذا الكتاب ولذلك بدنا ناخدها كحقائق we have the
+
+136
+00:13:28,230 --> 00:13:36,170
+following notes أو the following facts دي عندي
+
+137
+00:13:36,170 --> 00:13:45,210
+حقائق مهمة جدا الحقيقة الأولى أن ال U2 isomorphic
+
+138
+00:13:45,210 --> 00:13:51,430
+فقط لست لفش فيها الواحد إلا الواحد الصحيح و ال
+
+139
+00:13:51,430 --> 00:14:04,550
+U4 isomorphic لمام ل U isomorphic ل U2 تربيع أو
+
+140
+00:14:04,550 --> 00:14:13,770
+تساوية U2 ترابيع واللي هي isomorphic ل Z2 النقطة
+
+141
+00:14:13,770 --> 00:14:25,110
+الثانية ال U2 أُس N isomorphic ل Z2 External
+
+142
+00:14:25,110 --> 00:14:36,130
+Direct Product مع Zزد اثنين أُس N ناقص اثنين أُس
+
+143
+00:14:36,130 --> 00:14:43,630
+N four N أكبر من أو تساوي ثلاثة النقطة الثالثة
+
+144
+00:14:43,630 --> 00:14:51,230
+والأخيرة ال U P to the power N isomorphic لمين ل
+
+145
+00:14:51,230 --> 00:15:08,110
+Z P N ناقص P أس N ناقص واحد for P and N prime الـ P
+
+146
+00:15:08,110 --> 00:15:13,090
+and odd a prime so
+
+147
+00:15:13,090 --> 00:15:25,230
+we can write we can write ال U-groups ال U-groups
+
+148
+00:15:25,230 --> 00:15:31,490
+as an external direct product as an external
+
+149
+00:15:31,490 --> 00:15:36,970
+direct product
+
+150
+00:15:39,750 --> 00:15:52,890
+external product of cyclic groups نعطي
+
+151
+00:15:52,890 --> 00:15:59,750
+مثال example write
+
+152
+00:16:03,490 --> 00:16:13,370
+يو سبعمائة وعشرين يو سبعمائة وعشرين as
+
+153
+00:16:13,370 --> 00:16:21,070
+an external direct product as an external direct
+
+154
+00:16:21,070 --> 00:16:28,950
+product external
+
+155
+00:16:28,950 --> 00:16:31,610
+direct product of
+
+156
+00:16:34,130 --> 00:16:50,950
+cyclic groups نرجع
+
+157
+00:16:50,950 --> 00:16:56,230
+لهذه الحقائق مرة أخرى ونشوف كيف بدنا نشتغل عليها
+
+158
+00:16:56,230 --> 00:17:02,010
+أو ماذا نستفيد من هذه الحقائق الثلاث النقطة الأولى
+
+159
+00:17:02,010 --> 00:17:08,350
+جال ال U2 isomorphic للعدد اللي هو واحد as a set
+
+160
+00:17:08,350 --> 00:17:12,510
+طبعا U2 مافيش فيها إلا element للعنصر اللي هو الواحد
+
+161
+00:17:12,510 --> 00:17:18,370
+يبقى هذا وضع طبيعي لل trivial case الحالة البديهية
+
+162
+00:17:18,370 --> 00:17:26,850
+U4 ل U2 تربيع isomorphic ل Z2 لأن U4 فيها كام عنصر
+
+163
+00:17:28,400 --> 00:17:31,100
+ثلاثة يو أربعة ثلاثة يو أربعة ثلاثة يو أربعة ثلاثة
+
+164
+00:17:31,100 --> 00:17:31,580
+يو أربعة ثلاثة يو أربعة ثلاثة يو أربعة ثلاثة يو
+
+165
+00:17:31,580 --> 00:17:33,480
+أربعة ثلاثة يو أربعة ثلاثة يو أربعة ثلاثة يو أربعة
+
+166
+00:17:33,480 --> 00:17:36,180
+ثلاثة يو أربعة ثلاثة يو أربعة ثلاثة يو أربعة ثلاثة
+
+167
+00:17:36,180 --> 00:17:44,480
+يو أربعة ثلاثة يو أربعة ثلاثة يو أربعة
+
+168
+00:17:44,480 --> 00:17:45,540
+ثلاثة يو أربعة ثلاثة يو أربعة ثلاثة يو أربعة ثلاثة
+
+169
+00:17:45,540 --> 00:17:53,960
+أربعة ثلاثة يو أربعة ثلاثة
+
+170
+00:17:53,960 --> 00:18:00,350
+يو أربعة اثنين ناقص اثنين من الآن فصاعدا نشتغل بشكل
+
+171
+00:18:00,350 --> 00:18:06,610
+هذا يعني ال N ناقص اثنين هو أُس لمين للاثنين الآن
+
+172
+00:18:06,610 --> 00:18:15,470
+ال UPN isomorphic لزد P أس N مطروحا منه P أس N
+
+173
+00:18:15,470 --> 00:18:21,030
+ناقص واحد وإنما يكون P prime و P أكبر من مين من
+
+174
+00:18:21,030 --> 00:18:24,620
+الاثنين يعني أنت ثلاثة فصاعدا يبقى هذا الكلام
+
+175
+00:18:24,620 --> 00:18:29,060
+قدامنا موجود بالشكل هنا هذا إيش فائدته؟ فائدته
+
+176
+00:18:29,060 --> 00:18:34,420
+أن ال group UN مهما كان شكلها ممكن أخليها
+
+177
+00:18:34,420 --> 00:18:40,300
+isomorphic لمين ل cyclic groups شو ال cyclic
+
+178
+00:18:40,300 --> 00:18:44,560
+groups اللي كلها بدي أكتبها بدلالة z والأعداد اللي
+
+179
+00:18:44,560 --> 00:18:50,160
+موجودة في z2 في z3 في z4 سهل حسابتهم لكن لو جت لي
+
+180
+00:18:50,160 --> 00:18:55,300
+720 بدي أكتب أرقامها من هنا للدهر دوب نخلص واحنا
+
+181
+00:18:55,300 --> 00:18:59,320
+بدنا نجيب الأرقام اللي relative ل prime مع مين مع
+
+182
+00:18:59,320 --> 00:19:04,000
+ال 720 قصتنا طويلة وحزينة لكن لما أنا أكتبها بهذا
+
+183
+00:19:04,000 --> 00:19:08,480
+الشكل بداية ال Z بصير سهل التعامل معاها يبقى فائدة
+
+184
+00:19:08,480 --> 00:19:14,800
+هذه الحقيقة تسهيل التعامل مع مين مع ال U-groups
+
+185
+00:19:15,040 --> 00:19:20,560
+نعطيك مثال توضيحي على ذلك اللي أكتب ل U720 as a
+
+186
+00:19:20,560 --> 00:19:25,600
+product of cyclic groups بقى دي بقول له الحل
+
+187
+00:19:25,600 --> 00:19:31,060
+كتابة solution يبقى
+
+188
+00:19:31,060 --> 00:19:34,620
+أنا بدي أروح ل U720
+
+189
+00:19:35,530 --> 00:19:42,230
+هذه اللي بقدر أكتبها Uly بدي أحطها على حاصل ضرب
+
+190
+00:19:42,230 --> 00:19:52,190
+أعداد لو قلت لك هذه عبارة عن 16×9×5 5×16 بـ 80 80×9
+
+191
+00:19:52,190 --> 00:19:58,260
+بـ 8×9 بـ 72 يعني 720 يبقى هذا الكلام صحيح بالمئة
+
+192
+00:19:58,260 --> 00:20:05,660
+بالمئة هذه الآن ايزو مورفك لمين لـ 16
+
+193
+00:20:05,660 --> 00:20:11,260
+اكستيرنال دايكا product معاه تسعة اكستيرنال دايكا
+
+194
+00:20:11,260 --> 00:20:19,020
+product معاه خمسة طيب هذه مين هي؟ أليست U2 أُس
+
+195
+00:20:19,020 --> 00:20:25,200
+أربعة Extended product ثلاثة ترابيع Extended
+
+196
+00:20:25,200 --> 00:20:33,380
+product ل U خمسة ستة عشر اللي هي اثنين أُس أربعة و
+
+197
+00:20:33,380 --> 00:20:36,880
+ثلاثة ترابيع اللي هي تسعة والخمسة زمان طيب السؤال
+
+198
+00:20:36,880 --> 00:20:41,880
+هو ليش كتبته زي هيك؟ سوف أحاول أن أقوم بالتحويل إلى
+
+199
+00:20:41,880 --> 00:20:49,060
+الـ Cyclic Group. لكن عندما أحاول تحويلها بدلالة
+
+200
+00:20:49,060 --> 00:20:53,260
+الزد اللي لدي حسب القواعد اللي لدي بقدر أتأكد أن
+
+201
+00:20:53,260 --> 00:20:56,760
+كلامي مائة في المائة كله external product لل
+
+202
+00:20:56,760 --> 00:20:57,700
+Cyclic Group
+
+203
+00:21:02,550 --> 00:21:08,190
+ماشي ما احنا قلنا مشان هيك بدنا نبسط هالشغل هذه
+
+204
+00:21:08,190 --> 00:21:14,710
+بدنا نبسط هالشغل هذه و .. و نروح نكتبها بهذا الشكل
+
+205
+00:21:14,710 --> 00:21:22,410
+طيب يبقى لأن كتبت الـ U 720 على الشكل اللي عندي
+
+206
+00:21:22,410 --> 00:21:29,400
+وهذه كتبتها بالشكل هذا الآن هذه U2 أقصى 4 هنا U2
+
+207
+00:21:29,400 --> 00:21:35,560
+أقصى N و N أكبر من أو يساوي 3 isomorphic لهذه إذا
+
+208
+00:21:35,560 --> 00:21:41,320
+بدي أقول له هذه isomorphic لزد اثنين external
+
+209
+00:21:41,320 --> 00:21:47,700
+direct product مع زد بيقول لي مين اثنين هي زي ما
+
+210
+00:21:47,700 --> 00:21:53,650
+هي ال n اللي هي أربعة ناقص اثنين يبقى طبقت هذه
+
+211
+00:21:53,650 --> 00:21:58,210
+على main على الأولى اللي هي اثنين أقصى أربعة و
+
+212
+00:21:58,210 --> 00:22:04,370
+وصلنا هذه زي ال n الثلاثة هذا prime مظبوط إذا
+
+213
+00:22:04,370 --> 00:22:09,490
+بيدروح لمين للحالة الثالثة يبقى isomorphic لمين
+
+214
+00:22:09,490 --> 00:22:18,300
+لزى P التي هي ثلاثة و N اثنين ناقص ثلاثة أس اثنين
+
+215
+00:22:18,300 --> 00:22:23,920
+ناقص واحد ثم خلصنا هذا الأمر وهناك استيقظنا ضايق
+
+216
+00:22:23,920 --> 00:22:30,900
+كتابة مع U خمسة اللي هي عبارة عن Z كده
+
+217
+00:22:30,900 --> 00:22:39,380
+إيش قلنا ZP يعني Z خمسة أس واحد ناقص خمسة أس واحد
+
+218
+00:22:39,380 --> 00:22:46,500
+ناقص واحد يبقى أوطة ويد مباشرة هذا P بثلاثة و P
+
+219
+00:22:46,500 --> 00:22:52,960
+بخمسة و N بواحد خمسة و S واحد ناقص واحد شوف هذه
+
+220
+00:22:52,960 --> 00:22:59,920
+إيش صارت صارت هذه Z اثنين external product مع Z
+
+221
+00:22:59,920 --> 00:23:06,470
+أبصر جداش أربعة ناقص اثنين باثنين اثنين تربيع بأربعة
+
+222
+00:23:06,470 --> 00:23:13,110
+يبقى هذه isomorphic لزاد أربعة نجي لهذه ثلاثة تربيع
+
+223
+00:23:13,110 --> 00:23:19,270
+تسعة وهنا ثلاثة أس واحد بثلاثة تسعة ناقص ثلاثة
+
+224
+00:23:19,270 --> 00:23:26,640
+بستة يبقى isomorphic لزاد ستة وهذه الآن خمسة أس
+
+225
+00:23:26,640 --> 00:23:32,880
+صفر بواحد وهنا خمسة أس واحد بخمسة ناقص واحد يبقى
+
+226
+00:23:32,880 --> 00:23:39,580
+زد أربعة يبقى لأن كتابة زد سبعمائة وعشرين على صيغة
+
+227
+00:23:39,580 --> 00:23:42,840
+زد اثنين external product لزد أربعة external
+
+228
+00:23:42,840 --> 00:23:48,220
+product لزد ستة external product لزد أربعة والأربعة
+
+229
+00:23:48,220 --> 00:23:53,580
+cyclic groups يبقى بناء عليه ال group اللي عندنا يو
+
+230
+00:23:53,580 --> 00:23:58,840
+سبعمية وعشرين جبت group بتعمل معاها isomorphism
+
+231
+00:23:58,840 --> 00:24:03,460
+وبالتالي خواص ال يو سبعمائة وعشرين هي نفس الخواص
+
+232
+00:24:03,460 --> 00:24:06,940
+اللي عندنا يبقى بناء عليه لو جالي هاتلي element ال
+
+233
+00:24:06,940 --> 00:24:12,020
+order الو كذا في سبعمائة وعشرين بروح على هذه هذه سهل
+
+234
+00:24:12,020 --> 00:24:16,840
+التعامل معاها بس ليه 720 صعب التعامل معاها إذا
+
+235
+00:24:16,840 --> 00:24:22,600
+بجيب هذه المكافئة لها ومن خلالها بقدر أجيب من اللي
+
+236
+00:24:22,600 --> 00:24:28,160
+هو ال element اللي ال order عنده يعطيني إياه في
+
+237
+00:24:28,160 --> 00:24:28,960
+السؤال
+
+238
+00:24:31,410 --> 00:24:38,470
+يبقى هذا الشكل وضع لتبسيط الحسابات العملية في ال
+
+239
+00:24:38,470 --> 00:24:42,270
+groups المختلفة
+
+240
+00:24:42,270 --> 00:24:49,730
+نعطيك
+
+241
+00:24:49,730 --> 00:24:55,230
+مثال على هذا الكلام وبالتالي المثال أنت تعودت على
+
+242
+00:24:55,230 --> 00:25:00,750
+external product مكون من رقمين احنا هنعطيك سنة من
+
+243
+00:25:00,750 --> 00:25:06,910
+ثلاثة من أربعة أكثر من ذلك يبقى باجي بقول example
+
+244
+00:25:06,910 --> 00:25:11,430
+how
+
+245
+00:25:11,430 --> 00:25:16,950
+many elements
+
+246
+00:25:16,950 --> 00:25:20,290
+of
+
+247
+00:25:20,290 --> 00:25:21,930
+order
+
+248
+00:25:51,070 --> 00:25:57,340
+سؤال مرة ثانية السؤال بيقول إيه؟ بيقول كم عنصر ال
+
+249
+00:25:57,340 --> 00:26:03,080
+order الو 12 في ال U سبعمائة وعشرين طبعا بدنا
+
+250
+00:26:03,080 --> 00:26:07,160
+نقعد نحسب كل element لحاله تطلع روحنا مش هنقدر 
+
+251
+00:26:07,160 --> 00:26:10,800
+نحسبهم لكن هذه سبعمائة وعشرون التي جاءتها
+
+252
+00:26:10,800 --> 00:26:15,580
+isomorphic لمن؟ للي عندنا هذه، بيبقى الحسابات هنا
+
+253
+00:26:15,580 --> 00:26:22,700
+أسهل كثيرًا جدًا من الحسابات هناك، أيوة طب بتخلص بالله
+
+254
+00:26:22,700 --> 00:26:26,580
+في الساعتين اللي بتقدر تجيبهم؟ طب وكمان ساعتين من
+
+255
+00:26:26,580 --> 00:26:31,460
+9D واحسب لي كل الـ elements اللي relatively prime مع
+
+256
+00:26:31,460 --> 00:26:38,780
+720، وادور عليهم من الـ order اللي يساوي 12، أنت حر
+
+257
+00:26:38,780 --> 00:26:43,120
+جيب اللي بدك إياه، أنا مش زعلان، بس هتاخد وقت رهيب
+
+258
+00:26:43,120 --> 00:26:48,550
+جداً، ساعتينك مش هيكفو لحساب اللي هو السؤال هذا الآن
+
+259
+00:26:48,550 --> 00:26:57,170
+solution from the above example
+
+260
+00:26:58,670 --> 00:27:07,090
+من المثال اللي فوق، الـ U720 أيزو مورفك لـ Z2
+
+261
+00:27:07,090 --> 00:27:13,590
+Extended like product مع Z4، Extended like product
+
+262
+00:27:13,590 --> 00:27:19,470
+مع Z6، Extended like product مع Z4
+
+263
+00:27:22,860 --> 00:27:31,920
+أي element هنا، الـ order إليه يساوي اثنا عشر، يبقى بناء
+
+264
+00:27:31,920 --> 00:27:41,380
+عليه يبدو لو حسبنا فيه الثانية يبقى so the number of
+
+265
+00:27:41,380 --> 00:27:52,660
+elements of order اثنا عشر in u سبعمائة وعشرون
+
+266
+00:27:54,980 --> 00:28:07,680
+equal of the number of elements of
+
+267
+00:28:07,680 --> 00:28:09,280
+order
+
+268
+00:28:26,260 --> 00:28:32,140
+طب احنا أخذنا أول نظرية في هذا section وكان مشان
+
+269
+00:28:32,140 --> 00:28:38,950
+أجيب الـ order للـ element المركب مثلًا من مركبة
+
+270
+00:28:38,950 --> 00:28:43,370
+هنا بجيب الـ list common multiple لمن؟ للـ two
+
+271
+00:28:43,370 --> 00:28:47,330
+orders اللي عنده وبالتالي بكون جابت الـ order للـ
+
+272
+00:28:47,330 --> 00:28:50,690
+element اللي موجود في الـ external direct product
+
+273
+00:28:50,690 --> 00:28:57,210
+لذلك بروح آخذ element هنا، وافترض أن هذا الـ element
+
+274
+00:28:57,210 --> 00:29:03,010
+الـ order له يساوي 12، وأبحث عن الـ orders المختلفة
+
+275
+00:29:03,010 --> 00:29:09,530
+في هذه الحالة يبقى بداجي أقول له let الـ a والـ b والـ
+
+276
+00:29:09,530 --> 00:29:18,610
+c والـ d اللي موجودة في Z2 similar product مع Z4
+
+277
+00:29:18,610 --> 00:29:26,570
+similar product مع Z6، similar product مع Z4 such
+
+278
+00:29:26,570 --> 00:29:37,490
+that بحيث أن الـ order للـ a والـ b والـ c والـ d كله
+
+279
+00:29:37,490 --> 00:29:43,740
+بده يساوي كده؟ بده يساوي ما شاء الله، طيب الآن لما نقادي
+
+280
+00:29:43,740 --> 00:29:49,060
+لـ Z2، Z2 كم عنصر فيها؟ اثنين يعني الـ
+
+281
+00:29:49,060 --> 00:29:53,520
+order واحد والـ order للعنصر الثاني اثنين، صح ولا لا؟
+
+282
+00:29:53,520 --> 00:29:57,980
+يبقى أي element في Z2 الـ order له يا إما
+
+283
+00:29:57,980 --> 00:30:02,280
+واحد اللي هو الـ identity يا إما اثنين، طيب خذ لي
+
+284
+00:30:02,280 --> 00:30:09,080
+Z4 الـ order اللي فيها واحد وكده واثنين
+
+285
+00:30:09,740 --> 00:30:14,620
+ثلاثة، بتجسم الأربعة، بتتكلم
+
+286
+00:30:14,620 --> 00:30:17,820
+على order بتتكلمش على العناصر اللي موجودة فيها
+
+287
+00:30:17,820 --> 00:30:20,900
+واحد واثنين وأربعة، واحد واثنين وأربعة، وفيه غيرهم؟
+
+288
+00:30:20,900 --> 00:30:25,140
+مظبوط، لإن الـ order للـ element بيجسم للـ order للـ
+
+289
+00:30:25,140 --> 00:30:28,280
+group Z4 في أربعة عناصر، إذا قسمنا واحد اثنين
+
+290
+00:30:28,280 --> 00:30:33,550
+أربعة فقط، لغير فيش حاجة اسمها ثلاثة، العناصر اللي
+
+291
+00:30:33,550 --> 00:30:41,750
+موجودة في الـ Z6، واحد اثنين ثلاثة ستة، في شغلهم الـ
+
+292
+00:30:41,750 --> 00:30:46,770
+Z4 قبل قليل، يبقى بدي أضع هذه المعلومة دي وبناء
+
+293
+00:30:46,770 --> 00:30:53,970
+عليه بدي أبدأ أحدد كم عنصر عندي، يبقى هنا any
+
+294
+00:30:53,970 --> 00:30:55,850
+element
+
+295
+00:30:57,770 --> 00:31:09,390
+في Z4 has order واحد واثنين، Any element in Z4 has
+
+296
+00:31:09,390 --> 00:31:19,910
+order 1,2,4، أي element في Z6 has order 1,2,3,6، أي
+
+297
+00:31:19,910 --> 00:31:27,930
+element في Z4، في Z4 has element 1,2,4
+
+298
+00:31:30,490 --> 00:31:34,090
+طيب أنا لما بدي أجيب الـ order للـ element بدي
+
+299
+00:31:34,090 --> 00:31:38,870
+أجيب الـ least common multiples لمين؟ للـ أربعة orders
+
+300
+00:31:38,870 --> 00:31:43,390
+مش هيك؟ بقول كويسة، طلع لي الـ order الأول واحد و
+
+301
+00:31:43,390 --> 00:31:48,290
+اثنين موجود مع هدول ولا لأ؟ موجود مع هذه، موجود مع
+
+302
+00:31:48,290 --> 00:31:53,850
+هذه، يعني وجود إيش؟ بس بيخر بشكل بيخليها كبيرة، يبقى
+
+303
+00:31:53,850 --> 00:31:58,330
+في الحقيقة أنا بدي أبحث بس عن A وB وC تمام؟ لكن
+
+304
+00:31:58,330 --> 00:32:01,970
+هداك بدي أخليه في حسابي مش باهيم له، يبقى الذي
+
+305
+00:32:01,970 --> 00:32:06,390
+يتحكم في الـ order اللي هو الـ 12 اللي هو الثلاث
+
+306
+00:32:06,390 --> 00:32:12,520
+الأخيرة هدول، والهدا 1 و2 مش مشكلة، يبقى عندي
+
+307
+00:32:12,520 --> 00:32:18,140
+عنصرين بدخلهم في الحساب بعد ذلك، يبقى بدالي للـ 2 و
+
+308
+00:32:18,140 --> 00:32:23,420
+4 اللي عندي، يبقى هنا الـ element A الـ order إيه؟ 1
+
+309
+00:32:23,420 --> 00:32:31,450
+و2، الـ element B 1,2,4، الـ element C 1,2,3,6، الـ
+
+310
+00:32:31,450 --> 00:32:38,570
+element D 1,2,4، طب الآن أنا بدي أدور الـ main الـ
+
+311
+00:32:38,570 --> 00:32:42,910
+least common multiple اللي هم بده يعطيني قداش؟ 12
+
+312
+00:32:42,910 --> 00:32:49,670
+وبحيث ها طلع لي هنا الآن الواحد والاثنين مكررة
+
+313
+00:32:49,670 --> 00:32:54,210
+مالواحد والاثنين، يبقى لا قيمة لها، مظبوط؟ يبقى هنا
+
+314
+00:32:54,210 --> 00:32:58,690
+ضال عند مين؟ الأربعة، يبقى لو كان الـ order اللي بيه
+
+315
+00:32:58,690 --> 00:33:04,170
+بده يساوي الأربعة، والـ order اللي يسيه كان ثلاثة
+
+316
+00:33:04,170 --> 00:33:08,830
+أو ستة، طب ليش ثلاثة أو ستة؟ لأن ثلاثة أو أربعة
+
+317
+00:33:08,830 --> 00:33:12,730
+ليس كم الـ multiple اللي قلهم قداش؟ اثنا عشر، والستة
+
+318
+00:33:12,730 --> 00:33:15,290
+والأربعة ليس كم الـ multiple اللي قلهم كمان مين؟
+
+319
+00:33:15,290 --> 00:33:21,820
+اثنا عشر، يبقى هذا اللي يساه يتحكم في من؟ في الـ order
+
+320
+00:33:21,820 --> 00:33:25,900
+طب واللي تحت هذا؟ لتحت ما هو داخل في الحساب لإن
+
+321
+00:33:25,900 --> 00:33:30,920
+واحد اثنين هي موجودة والأربعة موجودة هنا، يبقى الـ D
+
+322
+00:33:30,920 --> 00:33:36,140
+مش هتأثر عندي، مش هتجيب لي معلومات جديدة، يبقى بإضافة
+
+323
+00:33:36,140 --> 00:33:41,240
+تحصيل حاصل، هي الحالة الأولى، يبقى الحالة الأولى
+
+324
+00:33:41,240 --> 00:33:44,040
+اللي الـ order الـ list common multiple اللي بده
+
+325
+00:33:44,040 --> 00:33:48,460
+يطلع اثنا عشر، خذ الحالة الثانية، ممكن يكون الـ order
+
+326
+00:33:48,460 --> 00:33:54,180
+اللي دي هو أربعة، والـ C له ثلاثة وستة، مش هيك وارد؟
+
+327
+00:33:54,180 --> 00:33:59,180
+تمام، والباقي اللي هو اللي بيتحصيل حاصل بسيط، تمام؟
+
+328
+00:33:59,180 --> 00:34:03,200
+يبقى بدنا نيجي نشتغل الشغل اللي عندنا هادي
+
+329
+00:34:13,770 --> 00:34:18,010
+الآن قلنا بالنسبة للأولى اللي اسمها multiple، تحصيل
+
+330
+00:34:18,010 --> 00:34:24,210
+حاصل، يبقى دي مش هتدخل في الحساب عندنا، يبقى we have
+
+331
+00:34:24,210 --> 00:34:30,050
+two cases
+
+332
+00:34:30,050 --> 00:34:35,910
+هي عندي حالتين، الحالة الأولى أن الـ order للـ B بده
+
+333
+00:34:35,910 --> 00:34:41,150
+يساوي الأربعة، والـ order لـ C يا إما ثلاثة يا إما
+
+334
+00:34:41,150 --> 00:34:45,350
+ستة، يبقى ثلاثة وأربعة الـ least common multiple
+
+335
+00:34:45,350 --> 00:34:48,730
+يبقى 12، الستة والأربعة الـ least common multiple
+
+336
+00:34:48,730 --> 00:34:53,290
+يبقى 12، يبقى هدول يجيبوا لي الـ element الـ order يساوي
+
+337
+00:34:53,290 --> 00:35:00,190
+كم؟ الـ 12، طب كم عنصر في Z4 الـ order يساوي
+
+338
+00:35:00,190 --> 00:35:08,630
+أربعة؟ بس اثنين، هو الواحد والثلاثة، الواحد والثلاثة
+
+339
+00:35:08,630 --> 00:35:14,850
+في Z4 الـ order يساوي مين؟ الأربعة، يمجى بيه
+
+340
+00:35:14,850 --> 00:35:20,890
+هنا يا بدها تساوي واحد يا بدها تساوي ثلاثة، طيب C
+
+341
+00:35:20,890 --> 00:35:27,370
+هنا بدها تساوي الـ order له ثلاثة أو الـ order له
+
+342
+00:35:27,370 --> 00:35:34,150
+ستة، أظن الواحد الـ order له ستة، طب واثنين؟ طب و
+
+343
+00:35:34,150 --> 00:35:41,700
+الأربعة؟ الـ order ماذا؟ ثلاثة؟ ثلاثة؟ طب والستة؟ واحد
+
+344
+00:35:41,700 --> 00:35:45,780
+واحد، واحد، واحد، واحد، واحد، واحد، واحد، واحد،
+
+345
+00:35:45,780 --> 00:35:48,240
+واحد، واحد، واحد، واحد، واحد، واحد، واحد، واحد،
+
+346
+00:35:48,240 --> 00:35:48,920
+واحد، واحد، واحد، واحد، واحد، واحد، واحد، واحد،
+
+347
+00:35:48,920 --> 00:35:49,520
+واحد، واحد، واحد، واحد، واحد، واحد، واحد، واحد،
+
+348
+00:35:49,520 --> 00:35:50,300
+واحد، واحد، واحد، واحد، واحد، واحد، واحد، واحد،
+
+349
+00:35:50,300 --> 00:35:50,340
+واحد، واحد، واحد، واحد، واحد، واحد، واحد، واحد،
+
+350
+00:35:50,340 --> 00:35:53,380
+واحد، واحد، واحد، واحد، واحد، واحد، واحد، واحد،
+
+351
+00:35:53,380 --> 00:35:58,440
+واحد، واحد، واحد، واحد، واحد، واحد، واحد، واحد،
+
+352
+00:35:58,440 --> 00:36:03,500
+واحد،
+
+353
+00:36:03,500 --> 00:36:04,480
+وا
+
+354
+00:36:11,410 --> 00:36:17,450
+الرقم يا باخد C بواحد يا باخد الستة يعني اثنين، هذا
+
+355
+00:36:17,450 --> 00:36:21,650
+الـ component يا بتكون واحد يا بتكون ستة، صفر ماشي؟
+
+356
+00:36:21,650 --> 00:36:25,790
+الحاجة بتزعل ليه؟ هذا
+
+357
+00:36:25,790 --> 00:36:31,450
+احنا بنحكي الآن في order كبير مش لحاله، تمام؟ احنا
+
+358
+00:36:31,450 --> 00:36:36,310
+بنحكي الآن الـ order للـ element بده يساوي ستة، مين
+
+359
+00:36:36,310 --> 00:36:40,550
+الـ elements اللي الـ order اللي هم يساوي .. ده مش
+
+360
+00:36:40,550 --> 00:36:46,770
+ستة .. ده خمسة .. ده خمسة، الواحد والخمسة الـ order
+
+361
+00:36:46,770 --> 00:36:52,470
+اللي هم ستة صحيح؟ اثنين والأربعة هم الـ order اللي
+
+362
+00:36:52,470 --> 00:37:01,030
+هم ثلاثة، طيب هذا الـ B والـ C، طب والـ D؟ لا خذها أي
+
+363
+00:37:01,030 --> 00:37:11,890
+شيء، أي نعم، and ادي arbitrary يعني خذها زي ما بدك
+
+364
+00:37:12,760 --> 00:37:17,280
+كويس؟ طيب لما آخذها زي المبدأ بقول آخذ الأربعة، لما
+
+365
+00:37:17,280 --> 00:37:21,700
+أنا آخذ يعني الأربعة مش هيتغير، ليش؟ لأن الـ order
+
+366
+00:37:21,700 --> 00:37:24,960
+سبعة هي واحد، هي اثنين، هي أربعة، هي وماخذناهم
+
+367
+00:37:24,960 --> 00:37:31,340
+معاهدي يعني مش هيجيبوا لي إيش؟ ليش دي؟ يبقى الآن the
+
+368
+00:37:31,340 --> 00:37:40,380
+number of elements of order
+
+369
+00:37:45,070 --> 00:37:52,890
+الحين الـ A كم عنصر فيها؟ اثنين، الـ B كم عنصر؟ اثنين
+
+370
+00:37:52,890 --> 00:37:59,590
+الـ C كم عنصر؟ أربعة، الـ D خذ زي ما بدك، قداش؟ أربعة
+
+371
+00:37:59,590 --> 00:38:04,370
+يبقى أربعة في أربعة في ستة عشر في أربعة، أربعة وستين
+
+372
+00:38:04,370 --> 00:38:11,490
+يبقى أربعة وستين element، هذول الـ order يساوي 12، لو
+
+373
+00:38:11,490 --> 00:38:12,090
+كان
+
+374
+00:38:19,370 --> 00:38:23,850
+هدول الـ orders، لكن أنا كم عنصر هدول عندي؟ أربعة، نص
+
+375
+00:38:23,850 --> 00:38:27,330
+خذ اللي بدك إياه، الـ orders واحد واثنين وأربعة زي
+
+376
+00:38:27,330 --> 00:38:30,630
+الواحد واتنين واربعة إذا هدول قلت مصفوفة شجعون
+
+377
+00:38:30,630 --> 00:38:36,590
+اشتغلت في هدول تمام هدول الآن هذا بضيف تحصيل حاصل
+
+378
+00:38:36,590 --> 00:38:40,590
+يعني أيش ما كان يكون كان ال zero كان الواحد كان
+
+379
+00:38:40,590 --> 00:38:44,350
+الاتنين كان التلاتة لن يغير في النتيجة شيئا وكان
+
+380
+00:38:44,350 --> 00:38:48,990
+أنت بتكتب element مكون من أربع مركبات يعني عندك
+
+381
+00:38:48,990 --> 00:38:54,110
+بدائل اتنين لل A وبدائل اتنين لل B لأن ال order
+
+382
+00:38:54,110 --> 00:38:59,190
+يساوي أربعة وعندك أربع بدائل لل C وأربع بدائل لل D
+
+383
+00:38:59,190 --> 00:39:03,210
+صحيح ولا لا؟ يبقى على بعضهم كله مصيره جداش أربعة
+
+384
+00:39:03,210 --> 00:39:09,590
+وستين عنصر هذا هي الحالة الأولى الحالة الثانية 
+
+385
+00:39:09,590 --> 00:39:16,150
+ال order اللي دي ممكن يكون أربعة and ال order لسه يا
+
+386
+00:39:16,150 --> 00:39:26,910
+إما تلاتة يا إما ستة يبقى
+
+387
+00:39:26,910 --> 00:39:31,650
+في هذه الحالة لما ال order اللي دي بدي يساوي أربعة
+
+388
+00:39:31,650 --> 00:39:38,600
+كم element بيعطينا اتنين مظبوط يبقى هنا في عندي
+
+389
+00:39:38,600 --> 00:39:46,080
+اتنين elements طيب لما يكون هنا في عندي جداش؟
+
+390
+00:39:46,080 --> 00:39:52,440
+جداش؟ أربع elements طيب
+
+391
+00:39:52,440 --> 00:39:59,200
+نيجي لل a جداش؟ أربع elements اتنين elements نيجي
+
+392
+00:39:59,200 --> 00:40:03,240
+لل b جداش عندي؟ اتنين elements
+
+393
+00:40:05,800 --> 00:40:12,760
+يبقى صغر الآن اتنين أخذناها
+
+394
+00:40:12,760 --> 00:40:16,240
+أربعة مع الخطوة اللي قبلها آه أخذناها أربعة مع
+
+395
+00:40:16,240 --> 00:40:19,580
+الخطوة اللي قبلها لا  نكررها لأن التكرار هذا بيجيب
+
+396
+00:40:19,580 --> 00:40:24,300
+شغلات أكثر من اللازم يبقى so we have العنصر
+
+397
+00:40:24,300 --> 00:40:28,400
+الأولاني اتنين والتاني أربعة واللي بعده اتنين
+
+398
+00:40:28,400 --> 00:40:33,370
+واللي بعده اتنين يبقى تمانية في أربعة بجداش باتنين و
+
+399
+00:40:33,370 --> 00:40:41,650
+تلاتين element of order اللي هو اتناشر طب إذا على
+
+400
+00:40:41,650 --> 00:40:43,210
+بعضهم جداش
+
+401
+00:40:45,410 --> 00:40:52,270
+يو سبعمية وعشرين has اللي هو قداش في الأول أربعة
+
+402
+00:40:52,270 --> 00:41:00,330
+وستين زائد اتنين وتلاتين ويساوي ستة وتسعين element
+
+403
+00:41:00,330 --> 00:41:08,010
+of order اللي هو اتناشر
+
+404
+00:41:17,690 --> 00:41:22,970
+يبقى بناء عليها من الآن فصاعدا لو قال لي شوف لقداش
+
+405
+00:41:22,970 --> 00:41:29,050
+عدد العناصر اللي ال order لهم يساوي رقم معين في
+
+406
+00:41:29,050 --> 00:41:34,770
+UN ال UN ال N  مهما كانت تكون بدي أحولها إلى مين؟
+
+407
+00:41:34,770 --> 00:41:41,160
+بدي أحولها إلى ال cyclic groups مدالة z2 و z3 و z4
+
+408
+00:41:41,160 --> 00:41:45,840
+و z5 و z6 و بيبقوا أحسب من مين من هذه ال z اللي هو
+
+409
+00:41:45,840 --> 00:41:51,000
+هذه العناصر على هيك بيكون انتهى ال section طيب في
+
+410
+00:41:51,000 --> 00:41:57,800
+عندك سؤال زي سؤال تلاتة بيقول ما يأتي سؤال
+
+411
+00:41:57,800 --> 00:42:06,820
+تلاتة بيقول الـ G group with identity والـ H بيه
+
+412
+00:42:06,820 --> 00:42:12,440
+group with identity prove that الـ G isomorphic
+
+413
+00:42:12,440 --> 00:42:20,340
+الـ G isomorphic لمين؟ لل external direct product
+
+414
+00:42:20,730 --> 00:42:26,850
+للـ G external like product مع ال identity element
+
+415
+00:42:26,850 --> 00:42:38,850
+تبع ال H and ال H is isomorphic لمن؟
+
+416
+00:42:38,850 --> 00:42:45,570
+لل identity تبع ال G external like product مع من؟
+
+417
+00:42:45,570 --> 00:42:48,350
+مع ال H
+
+418
+00:42:56,050 --> 00:43:04,540
+خلّي بالك أني أنا عندي الـ G و ال H are groups مش
+
+419
+00:43:04,540 --> 00:43:07,580
+هتقول الـH subgroup من G اللي ما له عاش علاقة هذه
+
+420
+00:43:07,580 --> 00:43:12,880
+group وهذه group ثاني بقول اثبت أن الـG هي
+
+421
+00:43:12,880 --> 00:43:17,580
+isomorphic لمين لـG وال external direct product
+
+422
+00:43:17,580 --> 00:43:23,680
+يبقى هنا بتروح تعرف له Phi من الـG إلى الـG
+
+423
+00:43:23,680 --> 00:43:31,520
+external direct product مع E H Pi فاي اف جي ممكن
+
+424
+00:43:31,520 --> 00:43:37,900
+أخذ صورته هنا ممكن أخذها جي والاي تبع ال H
+
+425
+00:43:44,530 --> 00:43:52,370
+لو جيت أخذت بدل في أخذت مثلا اللي هو ال F من ال H
+
+426
+00:43:52,370 --> 00:44:01,290
+إلى ال identity element تبع ال G across ال H by ال
+
+427
+00:44:01,290 --> 00:44:09,030
+F of H بده يساوي ال external direct product لل
+
+428
+00:44:09,030 --> 00:44:16,920
+E تبع ال G للـ A تابع الـ G و H بالشكل اللي عندنا
+
+429
+00:44:16,920 --> 00:44:25,020
+هنا أو بلاش هون هذا ايه جوز وهذا ايه جي و H جوز
+
+430
+00:44:25,020 --> 00:44:29,540
+مباشرة يبقى بدنا نثبت من هذا طبعا إذا أثبتنا الأول
+
+431
+00:44:29,540 --> 00:44:36,510
+بيصير التاني حرفيا زيه طيب لو جيت له الأولى يبقى بدي
+
+432
+00:44:36,510 --> 00:44:41,830
+أثبت له أن الـ Phi is one to one يبقى بدي أقول له
+
+433
+00:44:41,830 --> 00:44:50,310
+assume افترض أن Phi of G1 بدي يساوي Phi of G2 هذا
+
+434
+00:44:50,310 --> 00:44:56,050
+معناته أن الـ G1 و ال identity تبع ال H بدي يساوي
+
+435
+00:44:56,050 --> 00:45:03,780
+G2 و ال identity تبع ال H طبعا two order pair are
+
+436
+00:45:03,780 --> 00:45:07,220
+equal يبقى المجموعة الأولى سواء المجموعة الأولى أو
+
+437
+00:45:07,220 --> 00:45:12,540
+المجموعة الثانية سواء مين المجموعة الثانية يبقى G1
+
+438
+00:45:12,540 --> 00:45:19,400
+سواء G2 وهذا الـEH هو نفسه الـEH أظن وهو المطلوب
+
+439
+00:45:19,400 --> 00:45:26,030
+الآن مدّاجي أثبت له أن فاي is onto يبقى بالدرجة
+
+440
+00:45:26,030 --> 00:45:32,190
+أقوله افترض أن ال X موجود في ال G external product
+
+441
+00:45:32,190 --> 00:45:40,210
+مع ال identity تبع ال H ثم شكل ال X هذا بده يساوي
+
+442
+00:45:40,210 --> 00:45:47,120
+element من G و ال identity element تبع ال H طيب هذا
+
+443
+00:45:47,120 --> 00:45:53,980
+حسب التعريف هو مين؟ Phi of G لذلك Phi is أنتم بقى
+
+444
+00:45:53,980 --> 00:45:59,380
+لدينا Phi is an isomorphism يبقى Phi is an
+
+445
+00:45:59,380 --> 00:46:09,480
+isomorphism يبقى بدي أقعد أخذ ال Phi of G و G2
+
+446
+00:46:09,480 --> 00:46:15,750
+الشكل اللي عندنا هنا يبقى هذا الكلام بده يساوي اللي
+
+447
+00:46:15,750 --> 00:46:24,070
+هو مين اللي هو five of g one g two بده يساوي اللي
+
+448
+00:46:24,070 --> 00:46:33,170
+هو g one g two وال إيه h هذا الكلام بده يساوي بده
+
+449
+00:46:33,170 --> 00:46:39,370
+أحاول أكتب هذا على صيغة حاصل ضرب قوسين إذا لو جيت
+
+450
+00:46:39,370 --> 00:46:49,530
+قلت جي واحد مع ال E H وهنا جي اتنين مع ال E H لو
+
+451
+00:46:49,530 --> 00:46:53,370
+ضربت ضرب component wise يبقى بيصير جي ون جي تون
+
+452
+00:46:53,370 --> 00:46:59,060
+وال E H في ال E H هي بال E H itself يبقى هذا الكلام
+
+453
+00:46:59,060 --> 00:47:07,300
+بده يساوي هذا Phi of G1 و هذا Phi of G2 يبقى هنا
+
+454
+00:47:07,300 --> 00:47:17,080
+Phi is an isomorphism وهكذا بالنسبة لمن؟ بالنسبة
+
+455
+00:47:17,080 --> 00:47:17,900
+للثاني
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/RPZqJGhUV7s_raw.json b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/RPZqJGhUV7s_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..210d0590ade6f1a64b2875061ae2a0a17dfe2343
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/RPZqJGhUV7s_raw.json
@@ -0,0 +1 @@
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0.956298828125}, {"start": 256.98, "end": 257.48, "word": " ضرب", "probability": 0.772216796875}, {"start": 257.48, "end": 258.1, "word": " بس", "probability": 0.6234130859375}, {"start": 258.1, "end": 258.7, "word": " يتحول", "probability": 0.9385986328125}, {"start": 258.7, "end": 259.0, "word": " إلى", "probability": 0.75048828125}, {"start": 259.0, "end": 259.38, "word": " جامعة", "probability": 0.9619140625}, {"start": 259.38, "end": 260.16, "word": " المرة", "probability": 0.919921875}, {"start": 260.16, "end": 260.34, "word": " اللي", "probability": 0.931396484375}, {"start": 260.34, "end": 260.72, "word": " فاتت", "probability": 0.908203125}, {"start": 260.72, "end": 260.98, "word": " قلنا", "probability": 0.646240234375}, {"start": 260.98, "end": 261.08, "word": " ال", "probability": 0.943359375}, {"start": 261.08, "end": 261.8, "word": " operation", "probability": 0.896484375}, {"start": 261.8, "end": 262.5, "word": " اللي", "probability": 0.9697265625}, {"start": 262.5, "end": 262.72, "word": " على", "probability": 0.89306640625}, {"start": 262.72, "end": 262.88, "word": " ال", "probability": 0.7294921875}, {"start": 262.88, "end": 263.1, "word": " left", "probability": 0.875}, {"start": 263.1, "end": 263.68, "word": " cosets", "probability": 0.970947265625}, {"start": 263.68, "end": 264.04, "word": " هذه", "probability": 0.54296875}], "temperature": 1.0}, {"id": 12, "seek": 29351, "start": 264.41, "end": 293.51, "text": "إن الـ A H مضروب في B H بيكون A B F H يبقى معنى هذا الكلام هذا بيكون تلاتة زائد خمسة زائد ال sub group generated by ستة تلاتة زائد خمسة قداش تمانية تمانية بشيل منهم الستة بظل قداش اتنين يبقى هذا اتنين زائد ال sub group generated by ستة هيها", "tokens": [28814, 1863, 2423, 39184, 316, 389, 3714, 11242, 32887, 3555, 8978, 363, 389, 4724, 1829, 30544, 316, 363, 479, 389, 7251, 3555, 4587, 7578, 20449, 1863, 7578, 23758, 2423, 28820, 10943, 23758, 4724, 1829, 30544, 6055, 1211, 9307, 3660, 30767, 16373, 3215, 16490, 2304, 3794, 3660, 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332.74, "word": " هنجيب", "probability": 0.848291015625}, {"start": 332.74, "end": 332.9, "word": " ال", "probability": 0.9794921875}, {"start": 332.9, "end": 333.44, "word": " order", "probability": 0.97607421875}, {"start": 333.44, "end": 334.38, "word": " لهذا", "probability": 0.911865234375}, {"start": 334.38, "end": 334.82, "word": " بدي", "probability": 0.748779296875}, {"start": 334.82, "end": 335.32, "word": " أروح", "probability": 0.78369140625}, {"start": 335.32, "end": 335.96, "word": " أرفع", "probability": 0.8401692708333334}, {"start": 335.96, "end": 336.2, "word": " لل", "probability": 0.400390625}, {"start": 336.2, "end": 336.54, "word": " أس", "probability": 0.68603515625}, {"start": 336.54, "end": 337.06, "word": " واحد", "probability": 0.977294921875}, {"start": 337.06, "end": 337.5, "word": " والأس", "probability": 0.7029622395833334}, {"start": 337.5, "end": 338.0, "word": " اتنين", "probability": 0.9090576171875}, {"start": 338.0, "end": 338.44, "word": " والأس", "probability": 0.931640625}, {"start": 338.44, "end": 339.16, "word": " تلاتة", "probability": 0.93212890625}, {"start": 339.16, "end": 340.38, "word": " لغاية", "probability": 0.898681640625}, {"start": 340.38, "end": 340.94, "word": " موصل", "probability": 0.869140625}, {"start": 340.94, "end": 341.52, "word": " لمين", "probability": 0.701416015625}, {"start": 341.52, "end": 342.0, "word": " لل", "probability": 0.90185546875}, {"start": 342.0, "end": 342.7, "word": " identity", "probability": 0.88671875}, {"start": 342.7, "end": 343.4, "word": " element", "probability": 0.95361328125}, {"start": 343.4, "end": 344.16, "word": " فمثلًا", "probability": 0.9827473958333334}], "temperature": 1.0}, {"id": 15, "seek": 36364, "start": 344.74, "end": 363.64, "text": "لو بد الاتنين زاد ال sub group generated by ستة لكل تربيع تاني اللي هو حاصل ضرب الاتنين يعني حاصل جامعة الاتنين يعني اتنين مضروبة في هذا ال element لأن ال operation عملية جامعة", "tokens": [1211, 2407, 47525, 2423, 9307, 1863, 9957, 30767, 18513, 2423, 1422, 1594, 10833, 538, 8608, 2655, 3660, 5296, 28820, 6055, 2288, 21292, 3615, 6055, 7649, 1829, 13672, 1829, 31439, 11331, 33546, 1211, 48812, 25513, 2423, 9307, 1863, 9957, 37495, 22653, 11331, 33546, 1211, 10874, 10943, 27884, 2423, 9307, 1863, 9957, 37495, 22653, 1975, 2655, 1863, 9957, 3714, 11242, 32887, 49401, 8978, 23758, 2423, 4478, 5296, 33456, 2423, 6916, 6225, 42213, 10632, 10874, 10943, 27884], "avg_logprob": -0.2037499980131785, "compression_ratio": 1.6904761904761905, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 344.74, "end": 345.24, "word": "لو", "probability": 0.701904296875}, {"start": 345.24, "end": 345.56, "word": " بد", "probability": 0.68115234375}, {"start": 345.56, "end": 346.52, "word": " الاتنين", "probability": 0.739044189453125}, {"start": 346.52, "end": 347.02, "word": " زاد", "probability": 0.594482421875}, {"start": 347.02, "end": 347.24, "word": " ال", "probability": 0.85302734375}, {"start": 347.24, "end": 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"probability": 0.8475341796875}, {"start": 354.58, "end": 354.88, "word": " يعني", "probability": 0.925537109375}, {"start": 354.88, "end": 356.1, "word": " حاصل", "probability": 0.98486328125}, {"start": 356.1, "end": 356.62, "word": " جامعة", "probability": 0.7882486979166666}, {"start": 356.62, "end": 357.5, "word": " الاتنين", "probability": 0.9271240234375}, {"start": 357.5, "end": 358.28, "word": " يعني", "probability": 0.8896484375}, {"start": 358.28, "end": 358.96, "word": " اتنين", "probability": 0.96533203125}, {"start": 358.96, "end": 359.56, "word": " مضروبة", "probability": 0.88134765625}, {"start": 359.56, "end": 359.8, "word": " في", "probability": 0.9736328125}, {"start": 359.8, "end": 360.12, "word": " هذا", "probability": 0.96142578125}, {"start": 360.12, "end": 360.28, "word": " ال", "probability": 0.953125}, {"start": 360.28, "end": 360.64, "word": " element", "probability": 0.955078125}, {"start": 360.64, "end": 361.0, "word": " لأن", "probability": 0.72705078125}, {"start": 361.0, "end": 361.12, "word": " ال", "probability": 0.97802734375}, {"start": 361.12, "end": 361.72, "word": " operation", "probability": 0.93994140625}, {"start": 361.72, "end": 363.08, "word": " عملية", "probability": 0.96337890625}, {"start": 363.08, "end": 363.64, "word": " جامعة", "probability": 0.9864908854166666}], "temperature": 1.0}, {"id": 16, "seek": 38953, "start": 363.77, "end": 389.53, "text": "يبقى هذا عبارة عن مين عبارة عن أربعة زي ال sub group generated by ستة لا يساوي ال identity element يبقى بناء عليه بدي أخد اتنين زي ال sub group generated by ستة الكل تكعيب يبقى هذا بدي يساوي ستة زي ال sub group generated by ستة جدش يعطيني هذا؟", "tokens": [1829, 3555, 4587, 7578, 23758, 6225, 3555, 9640, 3660, 18871, 3714, 9957, 6225, 3555, 9640, 3660, 18871, 5551, 25513, 27884, 30767, 1829, 2423, 1422, 1594, 10833, 538, 8608, 2655, 3660, 20193, 7251, 3794, 995, 45865, 2423, 6575, 4478, 7251, 3555, 4587, 7578, 44945, 16606, 47356, 4724, 16254, 5551, 9778, 3215, 1975, 2655, 1863, 9957, 30767, 1829, 2423, 1422, 1594, 10833, 538, 8608, 2655, 3660, 2423, 28820, 6055, 4117, 3615, 1829, 3555, 7251, 3555, 4587, 7578, 23758, 4724, 16254, 7251, 3794, 995, 45865, 8608, 2655, 3660, 30767, 1829, 2423, 1422, 1594, 10833, 538, 8608, 2655, 3660, 10874, 3215, 8592, 37495, 9566, 9957, 1829, 23758, 22807], "avg_logprob": -0.21889881065913608, "compression_ratio": 1.972972972972973, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 363.77, "end": 364.59, "word": "يبقى", "probability": 0.8173828125}, {"start": 364.59, "end": 364.93, "word": " هذا", "probability": 0.6416015625}, {"start": 364.93, "end": 365.49, "word": " عبارة", "probability": 0.9658203125}, {"start": 365.49, "end": 365.71, "word": " عن", "probability": 0.97900390625}, {"start": 365.71, "end": 365.91, "word": " مين", "probability": 0.50762939453125}, {"start": 365.91, "end": 366.47, "word": " عبارة", "probability": 0.8843994140625}, {"start": 366.47, "end": 366.69, "word": " عن", "probability": 0.9814453125}, {"start": 366.69, "end": 367.39, "word": " أربعة", "probability": 0.7931315104166666}, {"start": 367.39, "end": 367.87, "word": " زي", "probability": 0.767822265625}, {"start": 367.87, "end": 368.11, "word": " ال", "probability": 0.4150390625}, {"start": 368.11, "end": 368.47, "word": " sub", "probability": 0.457763671875}, {"start": 368.47, "end": 369.01, "word": " group", "probability": 0.426513671875}, {"start": 369.01, "end": 370.03, "word": " generated", "probability": 0.75732421875}, {"start": 370.03, "end": 370.45, "word": " by", "probability": 0.9677734375}, {"start": 370.45, "end": 370.93, "word": " ستة", "probability": 0.8551432291666666}, {"start": 370.93, "end": 371.15, "word": " لا", "probability": 0.5546875}, {"start": 371.15, "end": 371.79, "word": " يساوي", "probability": 0.76123046875}, {"start": 371.79, "end": 371.91, "word": " ال", "probability": 0.95703125}, {"start": 371.91, "end": 372.61, "word": " identity", "probability": 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378.23, "end": 378.73, "word": " by", "probability": 0.9814453125}, {"start": 378.73, "end": 379.45, "word": " ستة", "probability": 0.9694010416666666}, {"start": 379.45, "end": 380.51, "word": " الكل", "probability": 0.74267578125}, {"start": 380.51, "end": 381.41, "word": " تكعيب", "probability": 0.9404296875}, {"start": 381.41, "end": 382.33, "word": " يبقى", "probability": 0.962158203125}, {"start": 382.33, "end": 382.65, "word": " هذا", "probability": 0.90869140625}, {"start": 382.65, "end": 383.03, "word": " بدي", "probability": 0.732666015625}, {"start": 383.03, "end": 383.59, "word": " يساوي", "probability": 0.953369140625}, {"start": 383.59, "end": 384.37, "word": " ستة", "probability": 0.9007161458333334}, {"start": 384.37, "end": 384.67, "word": " زي", "probability": 0.9892578125}, {"start": 384.67, "end": 384.97, "word": " ال", "probability": 0.97802734375}, {"start": 384.97, "end": 385.31, "word": " sub", "probability": 0.970703125}, {"start": 385.31, "end": 385.79, "word": " group", "probability": 0.978515625}, {"start": 385.79, "end": 386.35, "word": " generated", "probability": 0.900390625}, {"start": 386.35, "end": 387.13, "word": " by", "probability": 0.98974609375}, {"start": 387.13, "end": 388.07, "word": " ستة", "probability": 0.9664713541666666}, {"start": 388.07, "end": 388.49, "word": " جدش", "probability": 0.4852701822916667}, {"start": 388.49, "end": 388.97, "word": " يعطيني", "probability": 0.8768310546875}, {"start": 388.97, "end": 389.53, "word": " هذا؟", "probability": 0.83935546875}], "temperature": 1.0}, {"id": 17, "seek": 41616, "start": 390.08, "end": 416.16, "text": "6 itself يبقى ال order لهذا ال element يساوي تلاتة يبقى هذا الكلام يعطيني ان ال order لإتنين زائد subgroup generated by ستة is equal to three و هكذا يبقى كيف بدنا نضرب كيف بدنا نجمع كيف بدنا نسوي هي مثال قدامك طيب نيجي ناخد مثال example three", "tokens": [21, 1080, 1967, 7251, 3555, 4587, 7578, 2423, 1668, 46740, 15730, 2423, 4478, 7251, 3794, 995, 45865, 6055, 1211, 9307, 3660, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 7251, 3615, 9566, 1829, 22653, 16472, 2423, 1668, 5296, 28814, 2655, 1863, 9957, 30767, 16373, 3215, 1422, 17377, 10833, 538, 8608, 2655, 3660, 307, 2681, 281, 1045, 4032, 8032, 4117, 15730, 7251, 3555, 4587, 7578, 9122, 33911, 47525, 8315, 8717, 11242, 25513, 9122, 33911, 47525, 8315, 8717, 7435, 2304, 3615, 9122, 33911, 47525, 8315, 8717, 3794, 45865, 39896, 50113, 6027, 12174, 3215, 10943, 4117, 23032, 1829, 3555, 8717, 1829, 7435, 1829, 8717, 47283, 3215, 50113, 6027, 1365, 1045], "avg_logprob": -0.2563657327382653, "compression_ratio": 1.665158371040724, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 390.08, "end": 390.7, "word": "6", "probability": 0.072021484375}, {"start": 390.7, "end": 391.68, "word": " itself", "probability": 0.4713134765625}, {"start": 391.68, "end": 392.02, "word": " يبقى", "probability": 0.806884765625}, {"start": 392.02, "end": 392.14, "word": " ال", "probability": 0.455078125}, {"start": 392.14, "end": 392.48, "word": " order", "probability": 0.62841796875}, {"start": 392.48, "end": 392.94, "word": " لهذا", "probability": 0.901611328125}, {"start": 392.94, "end": 393.06, "word": " ال", "probability": 0.89453125}, {"start": 393.06, "end": 393.38, "word": " element", "probability": 0.90185546875}, {"start": 393.38, "end": 394.14, "word": " يساوي", "probability": 0.8779296875}, {"start": 394.14, "end": 394.86, "word": " تلاتة", "probability": 0.78070068359375}, {"start": 394.86, "end": 395.8, "word": " يبقى", "probability": 0.9456787109375}, {"start": 395.8, "end": 396.1, "word": " هذا", "probability": 0.9326171875}, {"start": 396.1, "end": 396.62, "word": " الكلام", "probability": 0.9098307291666666}, {"start": 396.62, "end": 397.5, "word": " يعطيني", "probability": 0.5848876953125}, {"start": 397.5, "end": 397.72, "word": " ان", "probability": 0.6298828125}, {"start": 397.72, "end": 397.96, "word": " ال", "probability": 0.90966796875}, {"start": 397.96, "end": 398.4, "word": " order", "probability": 0.9580078125}, {"start": 398.4, "end": 399.42, "word": " لإتنين", "probability": 0.672705078125}, {"start": 399.42, "end": 399.94, "word": " زائد", "probability": 0.8670247395833334}, {"start": 399.94, "end": 400.64, "word": " subgroup", "probability": 0.6444091796875}, {"start": 400.64, "end": 401.22, "word": " generated", "probability": 0.740234375}, {"start": 401.22, "end": 401.6, "word": " by", "probability": 0.96533203125}, {"start": 401.6, "end": 402.26, "word": " ستة", "probability": 0.8011067708333334}, {"start": 402.26, "end": 402.84, "word": " is", "probability": 0.7041015625}, {"start": 402.84, "end": 403.34, "word": " equal", "probability": 0.82421875}, {"start": 403.34, "end": 403.58, "word": " to", "probability": 0.378662109375}, {"start": 403.58, "end": 403.88, "word": " three", "probability": 0.74267578125}, {"start": 403.88, "end": 404.12, "word": " و", "probability": 0.62890625}, {"start": 404.12, "end": 404.86, "word": " هكذا", "probability": 0.8621419270833334}, {"start": 404.86, "end": 405.8, "word": " يبقى", "probability": 0.9727783203125}, {"start": 405.8, "end": 406.02, "word": " كيف", "probability": 0.9541015625}, {"start": 406.02, "end": 406.32, "word": " بدنا", "probability": 0.91552734375}, {"start": 406.32, "end": 406.8, "word": " نضرب", "probability": 0.99169921875}, {"start": 406.8, "end": 407.18, "word": " كيف", "probability": 0.730224609375}, {"start": 407.18, "end": 407.6, "word": " بدنا", "probability": 0.958251953125}, {"start": 407.6, "end": 408.26, "word": " نجمع", "probability": 0.9912109375}, {"start": 408.26, "end": 408.52, "word": " كيف", "probability": 0.8798828125}, {"start": 408.52, "end": 408.74, "word": " بدنا", "probability": 0.977294921875}, {"start": 408.74, "end": 409.2, "word": " نسوي", "probability": 0.94287109375}, {"start": 409.2, "end": 409.46, "word": " هي", "probability": 0.332275390625}, {"start": 409.46, "end": 410.14, "word": " مثال", "probability": 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جدول في صفحة واحد و تمانين ال H في ال R مية و تمانين اللي هي main of V وتساوي كذلك ال V في K لإن لو ضربت ال V في K بصير هنا V و هنا V بR مية و تمانين اللي هي عبارة عن main ع ال H يبقى صاروا تنتين و ليست واحدة", "tokens": [3224, 15730, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 2423, 389, 34105, 43242, 4117, 8978, 2423, 10874, 3215, 12610, 8978, 20328, 5172, 5016, 3660, 36764, 24401, 4032, 46811, 7649, 9957, 2423, 389, 8978, 2423, 497, 3714, 10632, 4032, 46811, 7649, 9957, 13672, 1829, 39896, 2135, 295, 691, 34683, 3794, 995, 45865, 9122, 8848, 23275, 2423, 691, 8978, 591, 5296, 28814, 1863, 45164, 48812, 25513, 2655, 2423, 691, 8978, 591, 4724, 9381, 13546, 34105, 691, 4032, 34105, 691, 4724, 49, 3714, 10632, 4032, 46811, 7649, 9957, 13672, 1829, 39896, 6225, 3555, 9640, 3660, 18871, 2135, 6225, 2423, 389, 7251, 3555, 4587, 7578, 20328, 9640, 14407, 6055, 29399, 9957, 4032, 32239, 14851, 36764, 24401, 3660], "avg_logprob": -0.23275861837740602, "compression_ratio": 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"temperature": 1.0}, {"id": 30, "seek": 75196, "start": 724.44, "end": 751.96, "text": "و ال element الرابع والاخير اللي هو dk يبقى هي الأربعة عناصر اللي موجودة عندنا والتي تمثل عناصر ال factor group اللي عندنا بالضبط تماما طيب اللي خاطر أعطيك exercise هك exercise لو قلت لك little g تساوي d for itself and", "tokens": [2407, 2423, 4478, 34892, 16758, 3615, 16070, 47283, 13546, 13672, 1829, 31439, 274, 74, 7251, 3555, 4587, 7578, 39896, 16247, 25513, 27884, 18871, 33546, 2288, 13672, 1829, 3714, 29245, 23328, 3660, 43242, 8315, 16070, 31371, 46811, 12984, 1211, 18871, 33546, 2288, 2423, 5952, 1594, 13672, 1829, 43242, 8315, 20666, 11242, 3555, 9566, 46811, 10943, 995, 23032, 1829, 3555, 13672, 1829, 16490, 41193, 2288, 5551, 3615, 9566, 1829, 4117, 5380, 8032, 4117, 5380, 45164, 12174, 1211, 2655, 5296, 4117, 707, 290, 6055, 3794, 995, 45865, 274, 337, 2564, 293], "avg_logprob": -0.2122542081254252, "compression_ratio": 1.6865671641791045, "no_speech_prob": 3.039836883544922e-06, 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تساوي A4 and ال H is a subgroup من مين؟ من G where حيث ال H هذه فيها العناصر التالية", "tokens": [2304, 12984, 6027, 12602, 4587, 2304, 5551, 25513, 27884, 4724, 1829, 39648, 707, 290, 47525, 11296, 6055, 3794, 995, 45865, 316, 19, 293, 2423, 389, 307, 257, 1422, 17377, 9154, 3714, 9957, 22807, 9154, 460, 689, 11331, 1829, 12984, 2423, 389, 29538, 8978, 11296, 18863, 1863, 33546, 2288, 16712, 6027, 10632], "avg_logprob": -0.23993390139478904, "compression_ratio": 1.2312925170068028, "no_speech_prob": 0.0, "words": [{"start": 851.04, "end": 851.6, "word": "مثال", "probability": 0.86279296875}, {"start": 851.6, "end": 852.12, "word": " رقم", "probability": 0.94482421875}, {"start": 852.12, "end": 852.8, "word": " أربعة", "probability": 0.744140625}, {"start": 852.8, "end": 857.68, "word": " بيقول", "probability": 0.83740234375}, {"start": 857.68, "end": 858.16, "word": " little", "probability": 0.346435546875}, {"start": 858.16, "end": 858.94, "word": " g", "probability": 0.83251953125}, 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"text": "12 عنصر تمام يبقى عدد ال A4 12 عنصر أخدنا ال subgroup منها ال subgroup اللي هي H زي ما انت شايف بنقل عليه بسأل السؤال هل ال H هذي normal subgroup من G ام لا", "tokens": [4762, 18871, 9381, 2288, 46811, 10943, 7251, 3555, 4587, 7578, 6225, 3215, 3215, 2423, 316, 19, 2272, 18871, 9381, 2288, 5551, 9778, 3215, 8315, 2423, 1422, 17377, 9154, 11296, 2423, 1422, 17377, 13672, 1829, 39896, 389, 30767, 1829, 19446, 16472, 2655, 13412, 995, 33911, 44945, 4587, 1211, 47356, 4724, 3794, 10721, 1211, 21136, 33604, 6027, 8032, 1211, 2423, 389, 8032, 8848, 1829, 2710, 1422, 17377, 9154, 460, 1975, 2304, 20193], "avg_logprob": -0.23019365651506773, "compression_ratio": 1.4875, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 977.99, "end": 978.53, "word": "12", "probability": 0.1375732421875}, {"start": 978.53, "end": 979.19, "word": " عنصر", "probability": 0.9568684895833334}, {"start": 979.19, "end": 979.75, "word": " تمام", "probability": 0.885498046875}, {"start": 979.75, 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عندنا يبقى ال order يا إما واحد يا إما اتنين لا يزيد عن ذلك طبعا", "tokens": [1829, 3555, 4587, 7578, 2423, 1668, 11933, 15040, 36764, 24401, 34051, 1975, 2655, 1863, 9957, 2423, 1935, 2689, 3866, 32767, 9957, 24976, 17796, 13672, 1829, 43242, 8315, 7251, 3555, 4587, 7578, 2423, 1668, 35186, 11933, 15042, 36764, 24401, 35186, 11933, 15042, 1975, 2655, 1863, 9957, 20193, 7251, 11622, 25708, 18871, 29910, 23275, 23032, 3555, 3615, 995], "avg_logprob": -0.23780153927050138, "compression_ratio": 1.5034482758620689, "no_speech_prob": 0.0, "words": [{"start": 1045.79, "end": 1046.35, "word": "يبقى", "probability": 0.6749267578125}, {"start": 1046.35, "end": 1046.45, "word": " ال", "probability": 0.6181640625}, {"start": 1046.45, "end": 1046.85, "word": " order", "probability": 0.82958984375}, {"start": 1046.85, "end": 1047.25, "word": " إلا", "probability": 0.2911376953125}, {"start": 1047.25, "end": 1048.15, "word": " واحد", "probability": 0.883056640625}, {"start": 1048.15, "end": 1048.49, 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"probability": 0.961181640625}], "temperature": 1.0}, {"id": 43, "seek": 108203, "start": 1062.41, "end": 1082.03, "text": "هذه ممكن تعمل فيها composition وهذه ممكن تعمل فيها composition ان كانت تقدر طبعا هذه مفيش إمكانية هذه مفيش إمكانية هذه كمان مفيش إمكانية يبقى هؤلاء الارديس جاينت سايكل يبقى ال اسكومة الملطبة اللي طول كل واحدة منهم الاسكومة اللي طول الاتنين والاتنين اللي هو B2", "tokens": [3224, 24192, 3714, 43020, 6055, 25957, 1211, 8978, 11296, 12686, 37037, 24192, 3714, 43020, 6055, 25957, 1211, 8978, 11296, 12686, 16472, 25961, 2655, 6055, 28543, 2288, 23032, 3555, 3615, 995, 29538, 3714, 41185, 8592, 11933, 2304, 41361, 10632, 29538, 3714, 41185, 8592, 11933, 2304, 41361, 10632, 29538, 9122, 2304, 7649, 3714, 41185, 8592, 11933, 2304, 41361, 10632, 7251, 3555, 4587, 7578, 8032, 33604, 1211, 16606, 2423, 9640, 16254, 3794, 10874, 995, 9957, 2655, 8608, 47302, 28820, 7251, 3555, 4587, 7578, 2423, 24525, 4117, 20498, 3660, 9673, 1211, 9566, 49401, 13672, 1829, 23032, 12610, 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"probability": 0.45556640625}, {"start": 1078.03, "end": 1078.45, "word": " الملطبة", "probability": 0.73211669921875}, {"start": 1078.45, "end": 1078.59, "word": " اللي", "probability": 0.68603515625}, {"start": 1078.59, "end": 1078.87, "word": " طول", "probability": 0.81982421875}, {"start": 1078.87, "end": 1079.05, "word": " كل", "probability": 0.96826171875}, {"start": 1079.05, "end": 1079.39, "word": " واحدة", "probability": 0.9724934895833334}, {"start": 1079.39, "end": 1079.69, "word": " منهم", "probability": 0.97802734375}, {"start": 1079.69, "end": 1080.19, "word": " الاسكومة", "probability": 0.80458984375}, {"start": 1080.19, "end": 1080.27, "word": " اللي", "probability": 0.685546875}, {"start": 1080.27, "end": 1080.33, "word": " طول", "probability": 0.882080078125}, {"start": 1080.33, "end": 1080.85, "word": " الاتنين", "probability": 0.73956298828125}, {"start": 1080.85, "end": 1081.25, "word": " والاتنين", "probability": 0.79736328125}, {"start": 1081.25, "end": 1081.39, "word": " اللي", "probability": 0.94189453125}, {"start": 1081.39, "end": 1081.55, "word": " هو", "probability": 0.951171875}, {"start": 1081.55, "end": 1082.03, "word": " B2", "probability": 0.5662841796875}], "temperature": 1.0}, {"id": 44, "seek": 110833, "start": 1082.63, "end": 1108.33, "text": "يبقى هدول كمان هدول كل العناصر اللي في A4 واللي ال order اللي لهم يساوي اتنين صح يعني انت لو روحت للتفصيلات تبعت A4 في صفحة 107 من الكتاب 107 من الكتاب حطلك كل عناصر ال A4 ل 12 صفهملك صف هدول فقط", "tokens": [1829, 3555, 4587, 7578, 8032, 3215, 12610, 9122, 2304, 7649, 8032, 3215, 12610, 28242, 18863, 1863, 33546, 2288, 13672, 1829, 8978, 316, 19, 16070, 20292, 2423, 1668, 13672, 1829, 5296, 16095, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 20328, 5016, 37495, 22653, 16472, 2655, 45164, 12602, 2407, 33753, 24976, 2655, 5172, 9381, 26895, 9307, 6055, 3555, 34268, 316, 19, 8978, 20328, 5172, 5016, 3660, 1266, 22, 9154, 33251, 2655, 16758, 1266, 22, 9154, 33251, 2655, 16758, 11331, 9566, 23275, 28242, 18871, 33546, 2288, 2423, 316, 19, 5296, 2272, 20328, 5172, 16095, 23275, 20328, 5172, 8032, 3215, 12610, 6156, 47432], "avg_logprob": -0.22076114569560135, "compression_ratio": 1.8076923076923077, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1082.63, "end": 1083.69, "word": "يبقى", "probability": 0.82696533203125}, {"start": 1083.69, "end": 1084.37, "word": " هدول", "probability": 0.6534016927083334}, {"start": 1084.37, "end": 1085.05, "word": " كمان", "probability": 0.92919921875}, {"start": 1085.05, "end": 1086.07, "word": " هدول", "probability": 0.7628580729166666}, {"start": 1086.07, "end": 1086.83, "word": " كل", "probability": 0.88134765625}, {"start": 1086.83, "end": 1088.09, "word": " العناصر", "probability": 0.81134033203125}, {"start": 1088.09, "end": 1088.71, "word": " اللي", "probability": 0.800048828125}, {"start": 1088.71, "end": 1088.97, "word": " في", "probability": 0.96337890625}, {"start": 1088.97, "end": 1089.97, "word": " A4", 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روحت", "probability": 0.9560546875}, {"start": 1096.41, "end": 1097.31, "word": " للتفصيلات", "probability": 0.8226725260416666}, {"start": 1097.31, "end": 1097.69, "word": " تبعت", "probability": 0.7084147135416666}, {"start": 1097.69, "end": 1098.17, "word": " A4", "probability": 0.931884765625}, {"start": 1098.17, "end": 1098.37, "word": " في", "probability": 0.75}, {"start": 1098.37, "end": 1098.83, "word": " صفحة", "probability": 0.8814697265625}, {"start": 1098.83, "end": 1099.45, "word": " 107", "probability": 0.79345703125}, {"start": 1099.45, "end": 1099.71, "word": " من", "probability": 0.9765625}, {"start": 1099.71, "end": 1100.23, "word": " الكتاب", "probability": 0.9835611979166666}, {"start": 1100.23, "end": 1101.27, "word": " 107", "probability": 0.859619140625}, {"start": 1101.27, "end": 1101.47, "word": " من", "probability": 0.982421875}, {"start": 1101.47, "end": 1101.83, "word": " الكتاب", "probability": 0.9869791666666666}, {"start": 1101.83, "end": 1102.31, "word": " حطلك", "probability": 0.8570963541666666}, {"start": 1102.31, "end": 1102.85, "word": " كل", "probability": 0.9609375}, {"start": 1102.85, "end": 1103.67, "word": " عناصر", "probability": 0.9352213541666666}, {"start": 1103.67, "end": 1103.85, "word": " ال", "probability": 0.94677734375}, {"start": 1103.85, "end": 1104.35, "word": " A4", "probability": 0.948486328125}, {"start": 1104.35, "end": 1104.53, "word": " ل", "probability": 0.6513671875}, {"start": 1104.53, "end": 1105.09, "word": " 12", "probability": 0.5224609375}, {"start": 1105.09, "end": 1106.35, "word": " صفهملك", "probability": 0.84454345703125}, {"start": 1106.35, "end": 1106.71, "word": " صف", "probability": 0.9658203125}, {"start": 1106.71, "end": 1107.61, "word": " هدول", "probability": 0.9718424479166666}, {"start": 1107.61, "end": 1108.33, "word": " فقط", "probability": 0.99560546875}], "temperature": 1.0}, {"id": 45, "seek": 113829, "start": 1108.63, "end": 1138.29, "text": "هم اللي ال order لهم يساوي واحد او اتنين غير هيك ما جابش هايب الأوضة ومعظمها كلهم جابوا مياه قدامهم يبقى أول شغلة observe that observe that لاحظ ان ال elements of h are all", "tokens": [16095, 13672, 1829, 2423, 1668, 5296, 16095, 7251, 3794, 995, 45865, 36764, 24401, 1975, 2407, 1975, 2655, 1863, 9957, 32771, 13546, 39896, 4117, 19446, 10874, 16758, 8592, 8032, 47302, 3555, 16247, 2407, 11242, 3660, 4032, 2304, 3615, 19913, 2304, 11296, 28242, 16095, 10874, 16758, 14407, 3714, 25528, 3224, 12174, 3215, 10943, 16095, 7251, 3555, 4587, 7578, 5551, 12610, 13412, 17082, 37977, 11441, 300, 11441, 300, 20193, 5016, 19913, 16472, 2423, 4959, 295, 276, 366, 439], "avg_logprob": -0.38240130402539907, "compression_ratio": 1.4777777777777779, "no_speech_prob": 0.0, "words": [{"start": 1108.63, "end": 1109.15, "word": "هم", "probability": 0.326416015625}, {"start": 1109.15, "end": 1109.87, "word": " اللي", "probability": 0.5748291015625}, {"start": 1109.87, "end": 1110.05, "word": " ال", "probability": 0.26416015625}, {"start": 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اخدها", "probability": 0.926025390625}, {"start": 1216.92, "end": 1217.12, "word": " من", "probability": 0.92529296875}, {"start": 1217.12, "end": 1217.54, "word": " وين", "probability": 0.96630859375}, {"start": 1217.54, "end": 1218.1, "word": " من", "probability": 0.56982421875}, {"start": 1218.1, "end": 1218.64, "word": " خارج", "probability": 0.9876302083333334}, {"start": 1218.64, "end": 1218.82, "word": " ال", "probability": 0.98681640625}, {"start": 1218.82, "end": 1219.12, "word": " H", "probability": 0.9755859375}, {"start": 1219.12, "end": 1220.32, "word": " and", "probability": 0.7607421875}, {"start": 1220.32, "end": 1221.34, "word": " ال", "probability": 0.91162109375}, {"start": 1221.34, "end": 1221.94, "word": " Beta", "probability": 0.51416015625}, {"start": 1221.94, "end": 1223.34, "word": " موجودة", "probability": 0.9912109375}, {"start": 1223.34, "end": 1223.72, "word": " وين", "probability": 0.97314453125}, {"start": 1223.72, "end": 1224.1, "word": " في", 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"end": 1639.79, "word": " تلاتة", "probability": 0.933837890625}, {"start": 1639.79, "end": 1640.27, "word": " اتنين", "probability": 0.98095703125}, {"start": 1640.27, "end": 1640.65, "word": " في", "probability": 0.9521484375}, {"start": 1640.65, "end": 1641.07, "word": " h", "probability": 0.814453125}, {"start": 1641.07, "end": 1643.57, "word": " is", "probability": 0.84912109375}, {"start": 1643.57, "end": 1644.93, "word": " a", "probability": 0.8232421875}, {"start": 1644.93, "end": 1647.23, "word": " generator", "probability": 0.97705078125}, {"start": 1647.23, "end": 1649.01, "word": " for", "probability": 0.96533203125}, {"start": 1649.01, "end": 1649.85, "word": " ال", "probability": 0.8271484375}, {"start": 1649.85, "end": 1651.13, "word": " a4", "probability": 0.6229248046875}, {"start": 1651.13, "end": 1652.15, "word": " modulo", "probability": 0.714111328125}, {"start": 1652.15, "end": 1652.59, "word": " h", "probability": 0.919921875}, {"start": 1652.59, "end": 1653.97, "word": " والسبب", "probability": 0.8828125}, {"start": 1653.97, "end": 1654.69, "word": " because", "probability": 0.673828125}], "temperature": 1.0}, {"id": 69, "seek": 167558, "start": 1655.84, "end": 1675.58, "text": "إن ال order للواحد اتنين ثلاثة في H بده يساوي ال order للواحد تلاتة اتنين في H بده يساوي كده تلاتة يبقى كل واحد فيهم عبارة عن generator", "tokens": [28814, 1863, 2423, 1668, 24976, 14407, 24401, 1975, 2655, 1863, 9957, 38637, 1211, 5718, 104, 3660, 8978, 389, 47525, 3224, 7251, 3794, 995, 45865, 2423, 1668, 24976, 14407, 24401, 6055, 1211, 9307, 3660, 1975, 2655, 1863, 9957, 8978, 389, 47525, 3224, 7251, 3794, 995, 45865, 9122, 3215, 3224, 6055, 1211, 9307, 3660, 7251, 3555, 4587, 7578, 28242, 36764, 24401, 8978, 16095, 6225, 3555, 9640, 3660, 18871, 19265], "avg_logprob": -0.20829504005172672, "compression_ratio": 1.6818181818181819, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1655.84, "end": 1656.32, "word": "إن", "probability": 0.5677490234375}, {"start": 1656.32, "end": 1656.58, "word": " ال", "probability": 0.6552734375}, {"start": 1656.58, "end": 1657.3, "word": " order", "probability": 0.79931640625}, {"start": 1657.3, "end": 1658.78, "word": " للواحد", "probability": 0.6920572916666666}, {"start": 1658.78, "end": 1659.42, "word": " اتنين", "probability": 0.80194091796875}, {"start": 1659.42, "end": 1660.28, "word": " ثلاثة", "probability": 0.84326171875}, {"start": 1660.28, "end": 1660.76, "word": " في", "probability": 0.9287109375}, {"start": 1660.76, "end": 1661.5, "word": " H", "probability": 0.40234375}, {"start": 1661.5, "end": 1662.62, "word": " بده", "probability": 0.45318603515625}, {"start": 1662.62, "end": 1663.96, "word": " يساوي", "probability": 0.9586181640625}, {"start": 1663.96, "end": 1664.22, "word": " ال", "probability": 0.65283203125}, {"start": 1664.22, "end": 1664.76, "word": " order", "probability": 0.8828125}, {"start": 1664.76, "end": 1666.0, "word": " للواحد", "probability": 0.9456380208333334}, {"start": 1666.0, "end": 1666.72, "word": " تلاتة", "probability": 0.7708740234375}, {"start": 1666.72, "end": 1667.2, "word": " اتنين", "probability": 0.9647216796875}, {"start": 1667.2, "end": 1667.64, "word": " في", "probability": 0.96923828125}, {"start": 1667.64, "end": 1667.96, "word": " H", "probability": 0.93798828125}, {"start": 1667.96, "end": 1668.68, "word": " بده", "probability": 0.81005859375}, {"start": 1668.68, "end": 1669.0, "word": " يساوي", "probability": 0.988037109375}, {"start": 1669.0, "end": 1669.52, "word": " كده", "probability": 0.717041015625}, {"start": 1669.52, "end": 1671.1, "word": " تلاتة", "probability": 0.903564453125}, {"start": 1671.1, "end": 1671.78, "word": " يبقى", "probability": 0.9481201171875}, {"start": 1671.78, "end": 1672.08, "word": " كل", "probability": 0.94140625}, {"start": 1672.08, "end": 1672.6, "word": " واحد", "probability": 0.99560546875}, {"start": 1672.6, "end": 1673.2, "word": " فيهم", "probability": 0.943603515625}, {"start": 1673.2, "end": 1674.1, "word": " عبارة", "probability": 0.994140625}, {"start": 1674.1, "end": 1674.58, "word": " عن", "probability": 0.9951171875}, {"start": 1674.58, "end": 1675.58, "word": " generator", "probability": 0.9296875}], "temperature": 1.0}, {"id": 70, "seek": 170642, "start": 1679.28, "end": 1706.42, "text": "طب خلّيني أسأل كل واحد معكوس لنفسه و الله واحد فيهم معكوس التاني بمعنى هل الواحد اتنين تلاتة و الواحد تلاتة اتنين معكوس لنفسه كل واحد و الله اتنين معكوسة لبعض تعالوا اضربهم في بعض الواحد بيروح لوين و التلاتة بيروح لمين صف على شجر ال identity الواحد را على الواحد", "tokens": [9566, 3555, 16490, 1211, 11703, 9957, 1829, 5551, 3794, 10721, 1211, 28242, 36764, 24401, 20449, 4117, 41779, 5296, 1863, 36178, 3224, 4032, 21984, 36764, 24401, 8978, 16095, 20449, 4117, 41779, 16712, 7649, 1829, 4724, 2304, 3615, 1863, 7578, 8032, 1211, 2423, 14407, 24401, 1975, 2655, 1863, 9957, 6055, 1211, 9307, 3660, 4032, 2423, 14407, 24401, 6055, 1211, 9307, 3660, 1975, 2655, 1863, 9957, 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{"start": 1689.86, "end": 1690.52, "word": " تلاتة", "probability": 0.905517578125}, {"start": 1690.52, "end": 1690.64, "word": " و", "probability": 0.490966796875}, {"start": 1690.64, "end": 1691.08, "word": " الواحد", "probability": 0.9358723958333334}, {"start": 1691.08, "end": 1691.7, "word": " تلاتة", "probability": 0.941162109375}, {"start": 1691.7, "end": 1692.12, "word": " اتنين", "probability": 0.9791259765625}, {"start": 1692.12, "end": 1693.34, "word": " معكوس", "probability": 0.8826497395833334}, {"start": 1693.34, "end": 1694.26, "word": " لنفسه", "probability": 0.9716796875}, {"start": 1694.26, "end": 1694.5, "word": " كل", "probability": 0.955078125}, {"start": 1694.5, "end": 1694.9, "word": " واحد", "probability": 0.996826171875}, {"start": 1694.9, "end": 1695.4, "word": " و", "probability": 0.6376953125}, {"start": 1695.4, "end": 1695.62, "word": " الله", "probability": 0.951171875}, {"start": 1695.62, "end": 1696.04, "word": " اتنين", "probability": 0.9833984375}, {"start": 1696.04, "end": 1696.7, "word": " معكوسة", "probability": 0.757080078125}, {"start": 1696.7, "end": 1697.16, "word": " لبعض", "probability": 0.964111328125}, {"start": 1697.16, "end": 1697.9, "word": " تعالوا", "probability": 0.6875}, {"start": 1697.9, "end": 1698.32, "word": " اضربهم", "probability": 0.831787109375}, {"start": 1698.32, "end": 1698.52, "word": " في", "probability": 0.90234375}, {"start": 1698.52, "end": 1698.9, "word": " بعض", "probability": 0.9873046875}, {"start": 1698.9, "end": 1699.82, "word": " الواحد", "probability": 0.9788411458333334}, {"start": 1699.82, "end": 1700.14, "word": " بيروح", "probability": 0.91748046875}, {"start": 1700.14, "end": 1700.6, "word": " لوين", "probability": 0.81494140625}, {"start": 1700.6, "end": 1701.74, "word": " و", "probability": 0.384765625}, {"start": 1701.74, "end": 1702.22, "word": " التلاتة", "probability": 0.950439453125}, {"start": 1702.22, "end": 1702.52, "word": " بيروح", "probability": 0.8973388671875}, {"start": 1702.52, "end": 1703.02, "word": " لمين", "probability": 0.920654296875}, {"start": 1703.02, "end": 1704.02, "word": " صف", "probability": 0.81298828125}, {"start": 1704.02, "end": 1704.2, "word": " على", "probability": 0.90869140625}, {"start": 1704.2, "end": 1704.68, "word": " شجر", "probability": 0.7073567708333334}, {"start": 1704.68, "end": 1704.8, "word": " ال", "probability": 0.859375}, {"start": 1704.8, "end": 1705.36, "word": " identity", "probability": 0.814453125}, {"start": 1705.36, "end": 1705.78, "word": " الواحد", "probability": 0.9625651041666666}, {"start": 1705.78, "end": 1705.96, "word": " را", "probability": 0.742431640625}, {"start": 1705.96, "end": 1706.08, "word": " على", "probability": 0.57568359375}, {"start": 1706.08, "end": 1706.42, "word": " الواحد", "probability": 0.9939778645833334}], "temperature": 1.0}, {"id": 71, "seek": 172495, "start": 1707.07, "end": 1724.95, "text": "بنمسك التلاتة بتروح لمين؟ لاتنين و الاتنين بتروح صف على شج ال identity الاتنين بيروح للواحد و الواحد بيروح لاتنين يبقى ال identity يبقى كل واحد فيهم معكوس للآخر و ليس معكوس لنفسه", "tokens": [3555, 1863, 2304, 3794, 4117, 16712, 1211, 9307, 3660, 39894, 32887, 5016, 32767, 9957, 22807, 5296, 9307, 1863, 9957, 4032, 2423, 9307, 1863, 9957, 39894, 32887, 5016, 20328, 5172, 15844, 13412, 7435, 2423, 6575, 2423, 9307, 1863, 9957, 4724, 13546, 2407, 5016, 24976, 14407, 24401, 4032, 2423, 14407, 24401, 4724, 13546, 2407, 5016, 5296, 9307, 1863, 9957, 7251, 3555, 4587, 7578, 2423, 6575, 7251, 3555, 4587, 7578, 28242, 36764, 24401, 8978, 16095, 20449, 4117, 41779, 24976, 148, 95, 34740, 4032, 32239, 3794, 20449, 4117, 41779, 5296, 1863, 36178, 3224], "avg_logprob": -0.20850694262319142, "compression_ratio": 1.925, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1707.07, "end": 1707.77, "word": "بنمسك", "probability": 0.6354736328125}, {"start": 1707.77, "end": 1708.49, "word": " التلاتة", "probability": 0.8834228515625}, {"start": 1708.49, "end": 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{"start": 1715.19, "end": 1715.51, "word": " بيروح", "probability": 0.947998046875}, {"start": 1715.51, "end": 1715.99, "word": " للواحد", "probability": 0.9508463541666666}, {"start": 1715.99, "end": 1716.11, "word": " و", "probability": 0.62939453125}, {"start": 1716.11, "end": 1716.31, "word": " الواحد", "probability": 0.8507486979166666}, {"start": 1716.31, "end": 1716.61, "word": " بيروح", "probability": 0.9798583984375}, {"start": 1716.61, "end": 1717.23, "word": " لاتنين", "probability": 0.907470703125}, {"start": 1717.23, "end": 1717.83, "word": " يبقى", "probability": 0.8841552734375}, {"start": 1717.83, "end": 1717.95, "word": " ال", "probability": 0.98486328125}, {"start": 1717.95, "end": 1718.69, "word": " identity", "probability": 0.904296875}, {"start": 1718.69, "end": 1719.59, "word": " يبقى", "probability": 0.9595947265625}, {"start": 1719.59, "end": 1719.85, "word": " كل", "probability": 0.92041015625}, {"start": 1719.85, "end": 1720.25, "word": " واحد", "probability": 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"text": "الـ H هي الـ subgroup generated by خمستاشر واللي مافيش فيها إلا العنصرين واحد وخمستاشر السؤال هو هل الـ H هذي abelian؟ الـ H just a normal subgroup من الـ U تلاتة؟", "tokens": [6027, 39184, 389, 39896, 2423, 39184, 1422, 17377, 10833, 538, 16490, 2304, 14851, 33599, 2288, 16070, 20292, 19446, 41185, 8592, 8978, 11296, 11933, 15040, 18863, 1863, 9381, 2288, 9957, 36764, 24401, 4032, 9778, 2304, 14851, 33599, 2288, 21136, 33604, 6027, 31439, 8032, 1211, 2423, 39184, 389, 8032, 8848, 1829, 410, 338, 952, 22807, 2423, 39184, 389, 445, 257, 2710, 1422, 17377, 9154, 2423, 39184, 624, 6055, 1211, 9307, 3660, 22807], "avg_logprob": -0.3228433241306896, "compression_ratio": 1.430232558139535, "no_speech_prob": 0.0, "words": [{"start": 1944.44, "end": 1944.98, "word": "الـ", "probability": 0.760986328125}, {"start": 1944.98, "end": 1945.38, "word": " H", "probability": 0.66796875}, {"start": 1945.38, "end": 1946.08, "word": " هي", "probability": 0.86669921875}, {"start": 1946.08, "end": 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"start": 2123.73, "end": 2143.49, "text": "السؤال هو هل ال G-modulation isomorphic ل Z8 ولا ل Z4 external product مع Z2 ولا ل Z2 external product مع Z2 external product مع Z2 كذلك أم لا؟ هذه تمان عناصر هذه تمان عناصر", "tokens": [6027, 3794, 33604, 6027, 31439, 8032, 1211, 2423, 460, 12, 8014, 2776, 307, 32702, 299, 5296, 1176, 23, 49429, 5296, 1176, 19, 8320, 1674, 20449, 1176, 17, 49429, 5296, 1176, 17, 8320, 1674, 20449, 1176, 17, 8320, 1674, 20449, 1176, 17, 9122, 8848, 23275, 5551, 2304, 20193, 22807, 29538, 46811, 7649, 6225, 1863, 33546, 2288, 29538, 46811, 7649, 18871, 33546, 2288], "avg_logprob": -0.31930444702025385, "compression_ratio": 1.6293706293706294, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2123.73, "end": 2124.41, "word": "السؤال", "probability": 0.85174560546875}, {"start": 2124.41, "end": 2124.69, "word": " هو", "probability": 0.93212890625}, {"start": 2124.69, "end": 2125.47, "word": " هل", "probability": 0.95166015625}, {"start": 2125.47, 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للأربعة واتنين أو للأربعة والواحد سيام قداش ال maximum order لأي element هنا اتنين", "tokens": [3224, 24192, 46811, 10943, 18871, 33546, 2288, 46811, 10943, 16712, 2304, 10943, 47525, 8315, 8717, 1829, 7435, 1829, 8717, 8592, 38688, 3714, 9957, 8717, 14851, 3555, 22488, 4032, 2304, 9957, 8717, 9778, 20292, 3224, 12174, 3215, 33599, 5551, 4117, 26890, 1668, 5296, 10721, 1829, 4478, 3714, 29245, 23328, 34105, 46811, 7649, 10632, 46811, 7649, 10632, 12174, 3215, 33599, 5551, 4117, 26890, 1668, 5296, 10721, 1829, 4478, 34105, 9122, 3215, 33599, 5551, 25513, 27884, 3714, 11622, 25708, 8592, 18871, 5551, 25513, 27884, 13672, 1829, 31439, 1935, 2689, 3866, 24976, 10721, 25513, 27884, 4032, 9307, 1863, 9957, 34051, 24976, 10721, 25513, 27884, 4032, 6027, 14407, 24401, 8608, 1829, 10943, 12174, 3215, 33599, 2423, 6674, 1668, 5296, 10721, 1829, 4478, 34105, 1975, 2655, 1863, 9957], "avg_logprob": -0.23196137532955263, "compression_ratio": 2.0444444444444443, "no_speech_prob": 0.0, "words": 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2294.1, "end": 2294.34, "word": " لا", "probability": 0.580078125}, {"start": 2294.34, "end": 2294.76, "word": " يمكن", "probability": 0.9638671875}, {"start": 2294.76, "end": 2294.98, "word": " أن", "probability": 0.76025390625}, {"start": 2294.98, "end": 2295.4, "word": " تساوي", "probability": 0.8653564453125}, {"start": 2295.4, "end": 2295.7, "word": " مين", "probability": 0.5992431640625}, {"start": 2295.7, "end": 2296.02, "word": " H", "probability": 0.78271484375}, {"start": 2296.02, "end": 2296.92, "word": " أخد", "probability": 0.7861328125}, {"start": 2296.92, "end": 2297.4, "word": " تلاتة", "probability": 0.9720458984375}, {"start": 2297.4, "end": 2297.66, "word": " H", "probability": 0.96923828125}, {"start": 2297.66, "end": 2298.52, "word": " تكيب", "probability": 0.8714599609375}], "temperature": 1.0}, {"id": 96, "seek": 230926, "start": 2299.96, "end": 2309.26, "text": "لأ لإن التلاتة لا تقسم مين التمانية يبقى fish element ال order إله يسوي التلاتة يبقى ما تغلبش حالك روح على مين", "tokens": [1211, 10721, 5296, 28814, 1863, 16712, 1211, 9307, 3660, 20193, 6055, 4587, 38251, 3714, 9957, 16712, 2304, 7649, 10632, 7251, 3555, 4587, 7578, 3506, 4478, 2423, 1668, 11933, 43761, 7251, 3794, 45865, 16712, 1211, 9307, 3660, 7251, 3555, 4587, 7578, 19446, 6055, 17082, 46152, 8592, 11331, 6027, 4117, 12602, 2407, 5016, 15844, 3714, 9957], "avg_logprob": -0.2205965979532762, "compression_ratio": 1.3969465648854962, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2299.96, "end": 2300.46, "word": "لأ", "probability": 0.78955078125}, {"start": 2300.46, "end": 2300.96, "word": " لإن", "probability": 0.7266438802083334}, {"start": 2300.96, "end": 2301.68, "word": " التلاتة", "probability": 0.9022216796875}, {"start": 2301.68, "end": 2301.84, "word": " لا", "probability": 0.76513671875}, {"start": 2301.84, "end": 2302.42, "word": " تقسم", "probability": 0.98681640625}, {"start": 2302.42, "end": 2302.76, "word": " مين", "probability": 0.6439208984375}, 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0.955078125}, {"start": 2308.0, "end": 2308.4, "word": " حالك", "probability": 0.9954427083333334}, {"start": 2308.4, "end": 2308.66, "word": " روح", "probability": 0.8688151041666666}, {"start": 2308.66, "end": 2308.84, "word": " على", "probability": 0.58056640625}, {"start": 2308.84, "end": 2309.26, "word": " مين", "probability": 0.97705078125}], "temperature": 1.0}, {"id": 97, "seek": 233906, "start": 2310.82, "end": 2339.06, "text": "على تلاتة H أُس أربعة يبقى هذه عبارة عن قداش تسعة في تسعة بواحد و تمانين H هذا الكلام يساوي تنين و تلاتين و تنين و تلاتين أربعة و ستين من واحد و تمانين ستاشر و واحد و سبعتاشر يبقى هذه سبعتاشر H هل السبعتاشر H بيساوي H؟ لأ", "tokens": [3615, 23942, 6055, 1211, 9307, 3660, 389, 5551, 10859, 3794, 5551, 25513, 27884, 7251, 3555, 4587, 7578, 29538, 6225, 3555, 9640, 3660, 18871, 12174, 3215, 33599, 6055, 3794, 27884, 8978, 6055, 3794, 27884, 4724, 14407, 24401, 4032, 46811, 7649, 9957, 389, 23758, 2423, 28820, 10943, 7251, 3794, 995, 45865, 6055, 1863, 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"word": " ستين", "probability": 0.9070638020833334}, {"start": 2326.98, "end": 2327.18, "word": " من", "probability": 0.91650390625}, {"start": 2327.18, "end": 2327.56, "word": " واحد", "probability": 0.989501953125}, {"start": 2327.56, "end": 2327.68, "word": " و", "probability": 0.9873046875}, {"start": 2327.68, "end": 2328.54, "word": " تمانين", "probability": 0.9816080729166666}, {"start": 2328.54, "end": 2329.38, "word": " ستاشر", "probability": 0.8443603515625}, {"start": 2329.38, "end": 2329.48, "word": " و", "probability": 0.57666015625}, {"start": 2329.48, "end": 2329.74, "word": " واحد", "probability": 0.948974609375}, {"start": 2329.74, "end": 2329.84, "word": " و", "probability": 0.67431640625}, {"start": 2329.84, "end": 2330.66, "word": " سبعتاشر", "probability": 0.831689453125}, {"start": 2330.66, "end": 2331.38, "word": " يبقى", "probability": 0.98486328125}, {"start": 2331.38, "end": 2331.78, "word": " هذه", "probability": 0.9462890625}, {"start": 2331.78, "end": 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"probability": 0.97705078125}, {"start": 2362.14, "end": 2363.24, "word": " لتلاتة", "probability": 0.9076171875}, {"start": 2363.24, "end": 2363.54, "word": " H", "probability": 0.5205078125}, {"start": 2363.54, "end": 2364.26, "word": " بده", "probability": 0.783447265625}, {"start": 2364.26, "end": 2364.58, "word": " سوى", "probability": 0.9295247395833334}, {"start": 2364.58, "end": 2365.26, "word": " قداش", "probability": 0.9827473958333334}, {"start": 2365.26, "end": 2366.56, "word": " تمانية", "probability": 0.9705403645833334}, {"start": 2366.56, "end": 2367.48, "word": " because", "probability": 0.70703125}], "temperature": 1.0}, {"id": 99, "seek": 238688, "start": 2370.7, "end": 2386.88, "text": "the order of the element divide the order of the group", "tokens": [3322, 1668, 295, 264, 4478, 9845, 264, 1668, 295, 264, 1594], "avg_logprob": -0.2081705741584301, "compression_ratio": 1.173913043478261, "no_speech_prob": 0.0, "words": [{"start": 2370.7, "end": 2371.2, "word": "the", "probability": 0.416259765625}, {"start": 2371.2, "end": 2372.72, "word": " order", "probability": 0.96630859375}, {"start": 2372.72, "end": 2376.0, "word": " of", "probability": 0.98388671875}, {"start": 2376.0, "end": 2377.3, "word": " the", "probability": 0.81689453125}, {"start": 2377.3, "end": 2378.44, "word": " element", "probability": 0.8330078125}, {"start": 2378.44, "end": 2381.04, "word": " divide", "probability": 0.77392578125}, {"start": 2381.04, "end": 2383.68, "word": " the", "probability": 0.5224609375}, {"start": 2383.68, "end": 2384.34, "word": " order", "probability": 0.91455078125}, {"start": 2384.34, "end": 2386.22, "word": " of", "probability": 0.9775390625}, {"start": 2386.22, "end": 2386.4, "word": " the", "probability": 0.8955078125}, {"start": 2386.4, "end": 2386.88, "word": " group", "probability": 0.96435546875}], "temperature": 1.0}, {"id": 100, "seek": 241915, "start": 2391.73, "end": 2419.15, "text": "لأن ال order لل element بيجسم ال order لل group يبقى لا يمكن ان انا اجد ال order خمسة ولا ستة ولا سبعة اذا ال order يسوى كمان تمانية معناته هذا ال element ماله generator يبقى هنا ال ثلاثة h is a generator", "tokens": [1211, 33456, 2423, 1668, 24976, 4478, 4724, 1829, 7435, 38251, 2423, 1668, 24976, 1594, 7251, 3555, 4587, 7578, 20193, 7251, 43020, 16472, 1975, 8315, 1975, 7435, 3215, 2423, 1668, 16490, 2304, 3794, 3660, 49429, 8608, 2655, 3660, 49429, 8608, 3555, 27884, 1975, 15730, 2423, 1668, 7251, 3794, 2407, 7578, 9122, 2304, 7649, 46811, 7649, 10632, 20449, 8315, 47395, 23758, 2423, 4478, 3714, 6027, 3224, 19265, 7251, 3555, 4587, 7578, 34105, 2423, 38637, 1211, 5718, 104, 3660, 276, 307, 257, 19265], "avg_logprob": -0.30401235745276933, "compression_ratio": 1.7732558139534884, "no_speech_prob": 0.0, "words": [{"start": 2391.73, "end": 2392.13, "word": "لأن", "probability": 0.557861328125}, {"start": 2392.13, "end": 2392.29, "word": " ال", "probability": 0.4267578125}, {"start": 2392.29, "end": 2392.69, "word": " order", 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"seek": 247278, "start": 2447.62, "end": 2472.78, "text": "Madame Cyclic يبقى هل يمكن أن تكون isomorphic لهذه لأن هذا أكبر order لها يساوي اتنين isomorphic لهذه لأ لأن أكبر order عنها مين يساوي أربعة يبقى هنا ال U تنين و تلاتي موديل أحداشر isomorphic لزيد تمانية because", "tokens": [33432, 529, 10295, 66, 1050, 7251, 3555, 4587, 7578, 8032, 1211, 7251, 43020, 14739, 6055, 30544, 307, 32702, 299, 46740, 24192, 5296, 33456, 23758, 5551, 4117, 26890, 1668, 5296, 11296, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 307, 32702, 299, 46740, 24192, 5296, 10721, 5296, 33456, 5551, 4117, 26890, 1668, 18871, 11296, 3714, 9957, 7251, 3794, 995, 45865, 5551, 25513, 27884, 7251, 3555, 4587, 7578, 34105, 2423, 624, 6055, 1863, 9957, 4032, 6055, 1211, 9307, 1829, 3714, 2407, 16254, 1211, 5551, 24401, 33599, 2288, 307, 32702, 299, 5296, 11622, 25708, 46811, 7649, 10632, 570], "avg_logprob": -0.2911783894523978, "compression_ratio": 1.7052631578947368, "no_speech_prob": 0.0, "words": [{"start": 2447.62, "end": 2448.22, "word": "Madame", "probability": 0.422607421875}, {"start": 2448.22, "end": 2449.2, "word": " Cyclic", "probability": 0.8271484375}, {"start": 2449.2, "end": 2449.94, "word": " يبقى", "probability": 0.76654052734375}, {"start": 2449.94, "end": 2450.24, "word": " هل", "probability": 0.94677734375}, {"start": 2450.24, "end": 2450.64, "word": " يمكن", "probability": 0.97705078125}, {"start": 2450.64, "end": 2450.92, "word": " أن", "probability": 0.685546875}, {"start": 2450.92, "end": 2451.5, "word": " تكون", "probability": 0.99169921875}, {"start": 2451.5, "end": 2452.66, "word": " isomorphic", "probability": 0.7628580729166666}, {"start": 2452.66, "end": 2453.22, "word": " لهذه", "probability": 0.9306640625}, {"start": 2453.22, "end": 2454.1, "word": " لأن", "probability": 0.757568359375}, {"start": 2454.1, "end": 2454.3, "word": " هذا", "probability": 0.2269287109375}, {"start": 2454.3, "end": 2454.74, "word": " أكبر", "probability": 0.9055989583333334}, {"start": 2454.74, "end": 2455.26, "word": " order", "probability": 0.81591796875}, {"start": 2455.26, "end": 2455.64, "word": " لها", "probability": 0.5655517578125}, {"start": 2455.64, "end": 2456.08, "word": " يساوي", "probability": 0.6297607421875}, {"start": 2456.08, "end": 2456.46, "word": " اتنين", "probability": 0.85186767578125}, {"start": 2456.46, "end": 2457.74, "word": " isomorphic", "probability": 0.7727864583333334}, {"start": 2457.74, "end": 2458.32, "word": " لهذه", "probability": 0.9765625}, {"start": 2458.32, "end": 2459.1, "word": " لأ", "probability": 0.87939453125}, {"start": 2459.1, "end": 2459.46, "word": " لأن", "probability": 0.7978515625}, {"start": 2459.46, "end": 2460.04, "word": " أكبر", "probability": 0.8937174479166666}, {"start": 2460.04, "end": 2460.44, "word": " order", "probability": 0.97412109375}, {"start": 2460.44, "end": 2460.86, "word": " عنها", "probability": 0.944091796875}, {"start": 2460.86, "end": 2461.26, "word": " مين", "probability": 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"probability": 0.875}, {"start": 2470.44, "end": 2471.02, "word": " لزيد", "probability": 0.60400390625}, {"start": 2471.02, "end": 2471.88, "word": " تمانية", "probability": 0.9606119791666666}, {"start": 2471.88, "end": 2472.78, "word": " because", "probability": 0.626953125}], "temperature": 1.0}, {"id": 103, "seek": 249448, "start": 2476.45, "end": 2494.49, "text": "زد اربعة external like product مع زد اتنين has no element", "tokens": [11622, 3215, 1975, 25513, 27884, 8320, 411, 1674, 20449, 30767, 3215, 1975, 2655, 1863, 9957, 575, 572, 4478], "avg_logprob": -0.5966283145703768, "compression_ratio": 0.9358974358974359, "no_speech_prob": 0.0, "words": [{"start": 2476.45, "end": 2477.81, "word": "زد", "probability": 0.35137939453125}, {"start": 2477.81, "end": 2478.63, "word": " اربعة", "probability": 0.73193359375}, {"start": 2478.63, "end": 2479.25, "word": " external", "probability": 0.37109375}, {"start": 2479.25, "end": 2479.63, "word": " like", "probability": 0.1280517578125}, 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center اللي تبع ال G for some I", "tokens": [2407, 6027, 20292, 31439, 47525, 3224, 7251, 3794, 995, 45865, 26634, 8978, 2423, 3056, 13672, 1829, 6055, 3555, 3615, 2423, 460, 337, 512, 286], "avg_logprob": -0.30421875, "compression_ratio": 1.1153846153846154, "no_speech_prob": 0.0, "words": [{"start": 2729.72, "end": 2730.28, "word": "واللي", "probability": 0.5806477864583334}, {"start": 2730.28, "end": 2730.5, "word": " هو", "probability": 0.95556640625}, {"start": 2730.5, "end": 2731.0, "word": " بده", "probability": 0.8173828125}, {"start": 2731.0, "end": 2731.78, "word": " يساوي", "probability": 0.9755859375}, {"start": 2731.78, "end": 2732.98, "word": " GI", "probability": 0.173095703125}, {"start": 2732.98, "end": 2734.72, "word": " في", "probability": 0.7568359375}, {"start": 2734.72, "end": 2734.96, "word": " ال", "probability": 0.93603515625}, {"start": 2734.96, "end": 2735.5, "word": " center", "probability": 0.443115234375}, {"start": 2735.5, "end": 2735.82, "word": " اللي", 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يبقى موجودة هنا مدام موجودة هنا يبقى بقدر اقول ان ال a تساوي g,i,x for some x وهذا بده يعطيني ان b تساوي g,j,y for some y", "tokens": [1829, 3555, 4587, 7578, 2423, 257, 11, 65, 47525, 3224, 7251, 3794, 995, 45865, 2423, 257, 11, 65, 29538, 257, 3714, 29245, 23328, 3660, 34105, 7251, 3555, 4587, 7578, 3714, 29245, 23328, 3660, 34105, 3714, 3215, 10943, 3714, 29245, 23328, 3660, 34105, 7251, 3555, 4587, 7578, 4724, 28543, 2288, 1975, 39648, 16472, 2423, 257, 6055, 3794, 995, 45865, 290, 11, 72, 11, 87, 337, 512, 2031, 37037, 15730, 47525, 3224, 37495, 9566, 1829, 22653, 16472, 272, 6055, 3794, 995, 45865, 290, 11, 73, 11, 88, 337, 512, 288], "avg_logprob": -0.18820224451215078, "compression_ratio": 1.806896551724138, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2768.11, "end": 2768.75, "word": "يبقى", "probability": 0.882568359375}, {"start": 2768.75, "end": 2768.93, "word": " ال", "probability": 0.8876953125}, {"start": 2768.93, "end": 2769.21, "word": " a", 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والإكس والواي يا سيدي اللي هم في ال center إذا بقدر أبدل زي ما بدي تمام يبقى هذا بتقدر تقولي GI", "tokens": [6027, 28814, 4117, 3794, 16070, 14407, 1829, 16070, 28814, 4117, 3794, 16070, 14407, 1829, 16070, 28814, 4117, 3794, 16070, 14407, 1829, 35186, 8608, 1829, 16254, 13672, 1829, 8032, 2304, 8978, 2423, 3056, 11933, 15730, 4724, 28543, 2288, 5551, 44510, 1211, 30767, 1829, 19446, 4724, 16254, 46811, 10943, 7251, 3555, 4587, 7578, 23758, 39894, 28543, 2288, 6055, 39648, 1829, 26634], "avg_logprob": -0.23255208631356558, "compression_ratio": 1.8596491228070176, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 2814.39, "end": 2814.95, "word": "الإكس", "probability": 0.5943984985351562}, {"start": 2814.95, "end": 2815.71, "word": " والواي", "probability": 0.8557942708333334}, {"start": 2815.71, "end": 2816.51, "word": " والإكس", "probability": 0.69586181640625}, {"start": 2816.51, "end": 2817.19, "word": " والواي", "probability": 0.9586588541666666}, {"start": 2817.19, 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1829, 8978, 2423, 1783, 398, 4724, 3215, 1211, 2655, 16712, 29399, 9957, 8032, 8848, 12610, 20449, 45030, 11242, 5296, 28814, 1863, 1783, 3714, 29245, 23328, 3660, 8978, 2423, 3056, 23032, 1829, 3555, 29538, 4724, 28543, 2288, 5551, 44510, 1211, 9122, 2304, 7649, 4724, 28543, 2288, 5551, 39648, 10874, 1829, 10874, 1829, 8978, 10874, 1829, 286, 37037, 24192, 398, 8978, 1783], "avg_logprob": -0.3449707073159516, "compression_ratio": 1.5147058823529411, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 2827.98, "end": 2829.0, "word": "جي", "probability": 0.2078857421875}, {"start": 2829.0, "end": 2829.54, "word": " جي", "probability": 0.84716796875}, {"start": 2829.54, "end": 2829.94, "word": " في", "probability": 0.79150390625}, {"start": 2829.94, "end": 2830.12, "word": " ال", "probability": 0.8544921875}, {"start": 2830.12, "end": 2830.48, "word": " X", "probability": 0.225830078125}, {"start": 2830.48, "end": 2830.92, "word": " Y", "probability": 0.53369140625}, {"start": 2830.92, "end": 2832.04, "word": " بدلت", "probability": 0.561279296875}, {"start": 2832.04, "end": 2832.58, "word": " التنتين", "probability": 0.7529296875}, {"start": 2832.58, "end": 2832.88, "word": " هذول", "probability": 0.6162923177083334}, {"start": 2832.88, "end": 2833.02, "word": " مع", "probability": 0.96826171875}, {"start": 2833.02, "end": 2833.34, "word": " بعض", "probability": 0.9892578125}, {"start": 2833.34, "end": 2833.74, "word": " لإن", "probability": 0.8380533854166666}, {"start": 2833.74, "end": 2834.28, "word": " X", "probability": 0.921875}, {"start": 2834.28, "end": 2834.86, "word": " موجودة", "probability": 0.929443359375}, {"start": 2834.86, "end": 2835.22, "word": " في", "probability": 0.79931640625}, {"start": 2835.22, "end": 2835.8, "word": " ال", "probability": 0.8896484375}, {"start": 2835.8, "end": 2836.34, "word": " center", "probability": 0.401611328125}, {"start": 2836.34, "end": 2837.7, "word": " طيب", "probability": 0.6966959635416666}, {"start": 2837.7, "end": 2838.3, "word": " هذه", "probability": 0.497314453125}, {"start": 2838.3, "end": 2838.8, "word": " بقدر", "probability": 0.9378255208333334}, {"start": 2838.8, "end": 2839.32, "word": " أبدل", "probability": 0.801513671875}, {"start": 2839.32, "end": 2839.78, "word": " كمان", "probability": 0.951171875}, {"start": 2839.78, "end": 2840.68, "word": " بقدر", "probability": 0.9724934895833334}, {"start": 2840.68, "end": 2841.26, "word": " أقول", "probability": 0.865966796875}, {"start": 2841.26, "end": 2842.14, "word": " جي", "probability": 0.912353515625}, {"start": 2842.14, "end": 2842.72, "word": " جي", "probability": 0.989990234375}, {"start": 2842.72, "end": 2843.26, "word": " في", "probability": 0.9775390625}, {"start": 2843.26, "end": 2843.9, "word": " جي", "probability": 0.89697265625}, {"start": 2843.9, "end": 2844.34, "word": " I", "probability": 0.302734375}, {"start": 2844.34, "end": 2845.4, "word": " وهذه", "probability": 0.6368408203125}, {"start": 2845.4, "end": 2846.2, "word": " Y", "probability": 0.921875}, {"start": 2846.2, "end": 2846.46, "word": " في", "probability": 0.916015625}, {"start": 2846.46, "end": 2846.86, "word": " X", "probability": 0.9951171875}], "temperature": 1.0}, {"id": 120, "seek": 287418, "start": 2850.12, "end": 2874.18, "text": "الان بدي أبدل هدول مع بعض لإن ال X و ال Y في ال center يبدلوا مع بعض دوري يبقى هذا الكلام يبدو يساوي GJ و هنا Y و هنا GIX هذا B وهذا A يبقى G Abelian يبقى هنا Das", "tokens": [6027, 7649, 4724, 16254, 5551, 44510, 1211, 8032, 3215, 12610, 20449, 45030, 11242, 5296, 28814, 1863, 2423, 1783, 4032, 2423, 398, 8978, 2423, 3056, 7251, 44510, 1211, 14407, 20449, 45030, 11242, 11778, 13063, 1829, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 7251, 44510, 2407, 7251, 3794, 995, 45865, 460, 41, 4032, 34105, 398, 4032, 34105, 460, 21124, 23758, 363, 37037, 15730, 316, 7251, 3555, 4587, 7578, 460, 2847, 338, 952, 7251, 3555, 4587, 7578, 34105, 2846], "avg_logprob": -0.3335336572848834, "compression_ratio": 1.6163522012578617, "no_speech_prob": 0.0, "words": [{"start": 2850.12, "end": 2850.8, "word": "الان", "probability": 0.671630859375}, {"start": 2850.8, "end": 2851.26, "word": " بدي", "probability": 0.424560546875}, {"start": 2851.26, "end": 2851.72, "word": " أبدل", "probability": 0.6864420572916666}, {"start": 2851.72, "end": 2852.12, "word": " هدول", "probability": 0.76513671875}, {"start": 2852.12, "end": 2852.36, "word": " مع", "probability": 0.9765625}, {"start": 2852.36, "end": 2852.8, "word": " بعض", "probability": 0.989990234375}, {"start": 2852.8, "end": 2853.1, "word": " لإن", "probability": 0.6915690104166666}, {"start": 2853.1, "end": 2853.24, "word": " ال", "probability": 0.685546875}, {"start": 2853.24, "end": 2853.44, "word": " X", "probability": 0.5478515625}, {"start": 2853.44, "end": 2853.64, "word": " و", "probability": 0.8271484375}, {"start": 2853.64, "end": 2853.72, "word": " ال", "probability": 0.39453125}, {"start": 2853.72, "end": 2853.86, "word": " Y", "probability": 0.96826171875}, {"start": 2853.86, "end": 2854.0, "word": " في", "probability": 0.86474609375}, {"start": 2854.0, "end": 2854.1, "word": " ال", "probability": 0.91259765625}, {"start": 2854.1, "end": 2854.4, "word": " center", "probability": 0.59130859375}, {"start": 2854.4, "end": 2854.9, "word": " يبدلوا", "probability": 0.78369140625}, {"start": 2854.9, "end": 2855.04, "word": " مع", "probability": 0.89404296875}, {"start": 2855.04, "end": 2855.34, "word": " بعض", "probability": 0.996826171875}, {"start": 2855.34, "end": 2855.82, "word": " دوري", "probability": 0.8180338541666666}, {"start": 2855.82, "end": 2856.66, "word": " يبقى", "probability": 0.9119873046875}, {"start": 2856.66, "end": 2857.04, "word": " هذا", "probability": 0.86376953125}, {"start": 2857.04, "end": 2857.6, "word": " الكلام", "probability": 0.9388020833333334}, {"start": 2857.6, "end": 2857.98, "word": " يبدو", "probability": 0.4298502604166667}, {"start": 2857.98, "end": 2858.6, "word": " يساوي", "probability": 0.8829345703125}, {"start": 2858.6, "end": 2860.04, "word": " GJ", "probability": 0.381591796875}, {"start": 2860.04, "end": 2860.66, "word": " و", "probability": 0.4833984375}, {"start": 2860.66, "end": 2861.2, "word": " هنا", "probability": 0.857421875}, {"start": 2861.2, "end": 2861.94, "word": " Y", "probability": 0.9130859375}, {"start": 2861.94, "end": 2862.52, "word": " و", "probability": 0.53369140625}, {"start": 2862.52, "end": 2862.92, "word": " هنا", "probability": 0.9296875}, {"start": 2862.92, "end": 2865.1, "word": " GIX", "probability": 0.87060546875}, {"start": 2865.1, "end": 2867.02, "word": " هذا", "probability": 0.712890625}, {"start": 2867.02, "end": 2867.46, "word": " B", "probability": 0.373779296875}, {"start": 2867.46, "end": 2868.88, "word": " وهذا", "probability": 0.83056640625}, {"start": 2868.88, "end": 2869.5, "word": " A", "probability": 0.93017578125}, {"start": 2869.5, "end": 2870.92, "word": " يبقى", "probability": 0.9703369140625}, {"start": 2870.92, "end": 2871.2, "word": " G", "probability": 0.65478515625}, {"start": 2871.2, "end": 2872.1, "word": " Abelian", "probability": 0.6521809895833334}, {"start": 2872.1, "end": 2873.18, "word": " يبقى", "probability": 0.974365234375}, {"start": 2873.18, "end": 2873.54, "word": " هنا", "probability": 0.9560546875}, {"start": 2873.54, "end": 2874.18, "word": " Das", "probability": 0.08905029296875}], "temperature": 1.0}, {"id": 121, "seek": 289947, "start": 2882.29, "end": 2899.47, "text": "يبقى من الانفة ساعدا اه طبعا هاي موجودة هنا", "tokens": [1829, 3555, 4587, 7578, 9154, 2423, 7649, 5172, 3660, 8608, 995, 22488, 995, 1975, 3224, 23032, 3555, 3615, 995, 8032, 47302, 3714, 29245, 23328, 3660, 34105], "avg_logprob": -0.4299768562670107, "compression_ratio": 1.0985915492957747, "no_speech_prob": 0.0, "words": [{"start": 2882.29, "end": 2883.69, "word": "يبقى", "probability": 0.7402496337890625}, {"start": 2883.69, "end": 2883.81, "word": " من", "probability": 0.91162109375}, {"start": 2883.81, "end": 2884.55, "word": " الانفة", "probability": 0.73443603515625}, {"start": 2884.55, "end": 2885.57, "word": " ساعدا", "probability": 0.82257080078125}, {"start": 2885.57, "end": 2890.99, "word": " اه", "probability": 0.2728271484375}, {"start": 2890.99, "end": 2895.07, "word": " طبعا", "probability": 0.9874267578125}, {"start": 2895.07, "end": 2897.61, "word": " هاي", "probability": 0.4356689453125}, {"start": 2897.61, "end": 2899.19, "word": " موجودة", "probability": 0.79119873046875}, {"start": 2899.19, "end": 2899.47, "word": " هنا", "probability": 0.97265625}], "temperature": 1.0}, {"id": 122, "seek": 291059, "start": 2899.87, "end": 2910.59, "text": "يبقى تساوي GI في element من ال center ال X موجودة في ال center وال Y موجودة في ال center كذلك", "tokens": [1829, 3555, 4587, 7578, 6055, 3794, 995, 45865, 26634, 8978, 4478, 9154, 2423, 3056, 2423, 1783, 3714, 29245, 23328, 3660, 8978, 2423, 3056, 16070, 398, 3714, 29245, 23328, 3660, 8978, 2423, 3056, 9122, 8848, 23275], "avg_logprob": -0.24305555555555555, "compression_ratio": 1.5393258426966292, "no_speech_prob": 0.0, "words": [{"start": 2899.87, "end": 2900.61, "word": "يبقى", "probability": 0.882568359375}, {"start": 2900.61, "end": 2901.19, "word": " تساوي", "probability": 0.68377685546875}, {"start": 2901.19, "end": 2901.59, "word": " GI", "probability": 0.1318359375}, {"start": 2901.59, "end": 2901.91, "word": " في", "probability": 0.91552734375}, {"start": 2901.91, "end": 2902.51, "word": " element", "probability": 0.6748046875}, {"start": 2902.51, "end": 2902.97, "word": " من", "probability": 0.98388671875}, {"start": 2902.97, "end": 2903.23, "word": " ال", "probability": 0.96826171875}, {"start": 2903.23, "end": 2903.71, "word": " center", "probability": 0.425537109375}, {"start": 2903.71, "end": 2904.43, "word": " ال", "probability": 0.51025390625}, {"start": 2904.43, "end": 2904.79, "word": " X", "probability": 0.84716796875}, {"start": 2904.79, "end": 2905.23, "word": " موجودة", "probability": 0.980712890625}, {"start": 2905.23, "end": 2905.35, "word": " في", "probability": 0.96435546875}, {"start": 2905.35, "end": 2905.47, "word": " ال", "probability": 0.97412109375}, {"start": 2905.47, "end": 2905.81, "word": " center", "probability": 0.8310546875}, {"start": 2905.81, "end": 2906.11, "word": " وال", "probability": 0.67431640625}, {"start": 2906.11, "end": 2906.35, "word": " Y", "probability": 0.75830078125}, {"start": 2906.35, "end": 2908.55, "word": " موجودة", "probability": 0.9808349609375}, {"start": 2908.55, "end": 2908.67, "word": " في", "probability": 0.939453125}, {"start": 2908.67, "end": 2908.89, "word": " ال", "probability": 0.912109375}, {"start": 2908.89, "end": 2909.51, "word": " center", "probability": 0.6982421875}, {"start": 2909.51, "end": 2910.59, "word": " كذلك", "probability": 0.9339192708333334}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2911.968, "duration_after_vad": 2709.119374999988}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/TTuKgG0leug.srt b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/TTuKgG0leug.srt
new file mode 100644
index 0000000000000000000000000000000000000000..6985b58fe50278440697a53fad71db72564a5c73
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/TTuKgG0leug.srt
@@ -0,0 +1,1655 @@
+1
+00:00:21,090 --> 00:00:23,650
+السلام عليكم ورحمة الله وبركاته  بسم الله الرحمن الرحيم
+
+2
+00:00:23,650 --> 00:00:28,010
+أهلا طبعا بنرحب فيكم مرة ثانية مستكملة لمحاضراتنا 
+
+3
+00:00:28,010 --> 00:00:32,350
+وكل عام بخير بمناسبة العيد إن شاء الله  خلاله
+
+4
+00:00:32,350 --> 00:00:37,970
+هنتذكر إن شاء الله بس بسرعة المحاضرة الأخيرة قبل العيد
+
+5
+00:00:37,970 --> 00:00:41,230
+كان كنا بنتكلم عن نظرية اسمها الـ fundamental
+
+6
+00:00:41,230 --> 00:00:48,200
+theorem of cyclic groups طبعا كانت فيها ثلاثة أجزاء
+
+7
+00:00:48,200 --> 00:00:54,620
+الأول أن أي subgroup من cyclic group بتكون cyclic
+
+8
+00:00:54,620 --> 00:00:59,860
+أي subgroup من cyclic group بتكون cyclic الجزء 
+
+9
+00:00:59,860 --> 00:01:06,900
+الثاني أي subgroup هيكون الـ order لها بيقسم الـ
+
+10
+00:01:06,900 --> 00:01:10,600
+order للـ group في حالة طبعا الـ cyclic group الشغل 
+
+11
+00:01:10,600 --> 00:01:15,910
+الثالث لو كان عندي قاسم للـ order للجروب أو الـ
+
+12
+00:01:15,910 --> 00:01:20,250
+cyclic group أنا بقدر أوجد عليها subgroup  بالجروب داخل
+
+13
+00:01:20,250 --> 00:01:24,470
+الـ cyclic group وبيكون لها نفس الـ order هناخد
+
+14
+00:01:24,470 --> 00:01:34,630
+مثال سريع في هذه الجزئية هنقول التالي example let
+
+15
+00:01:34,630 --> 00:01:45,610
+G generated by a with order الـ a بيساوي تلاتين 
+
+16
+00:01:45,610 --> 00:01:55,770
+المطلوب list all subgroups
+
+17
+00:01:55,770 --> 00:02:00,750
+of G عندي
+
+18
+00:02:00,750 --> 00:02:04,630
+group Cyclic الـ G  orderها تلاتين المطلوب مني
+
+19
+00:02:04,630 --> 00:02:11,770
+أجيب كل group Cyclic من الـ G تعالوا نشوف قليل
+
+20
+00:02:11,770 --> 00:02:13,070
+الحل قبل أن نبدأ الحل 
+
+21
+00:02:15,780 --> 00:02:23,260
+cyclic group وبدور على الـ subgroups اللي موجودين
+
+22
+00:02:23,260 --> 00:02:27,480
+ضمن الـ group إيش هيكونوا الـ subgroups subgroups
+
+23
+00:02:27,480 --> 00:02:28,380
+subgroups subgroups subgroups subgroups subgroups
+
+24
+00:02:28,380 --> 00:02:28,800
+subgroups subgroups subgroups subgroups subgroups
+
+25
+00:02:28,800 --> 00:02:28,880
+subgroups subgroups subgroups subgroups subgroups
+
+26
+00:02:28,880 --> 00:02:29,220
+subgroups subgroups subgroups subgroups subgroups
+
+27
+00:02:29,220 --> 00:02:35,780
+subgroups subgroups subgroups subgroups
+
+28
+00:02:35,780 --> 00:02:41,420
+subgroups subgroups subgroups subgroups subgroups
+
+29
+00:02:41,420 --> 00:02:41,760
+subgroups subgroups subgroups subgroups subgroups
+
+30
+00:02:41,760 --> 00:02:45,720
+subgroups subgroups subgroups subgroup يجب أن نبدأ
+
+31
+00:02:45,720 --> 00:02:53,140
+من أين؟ من قواسم الـ order لمن؟ للـ G since order
+
+32
+00:02:53,140 --> 00:02:58,160
+الـ G بيساوي order الـ a؟ بيساوي تلاتين and
+
+33
+00:02:58,160 --> 00:03:08,180
+G is cyclic هذا مش معناته هذا معناته for any divisor
+
+34
+00:03:08,180 --> 00:03:11,040
+يقسم التلاتين there exist
+
+35
+00:03:15,010 --> 00:03:29,290
+a unique subgroup H of G with order HD الـ
+
+36
+00:03:29,290 --> 00:03:35,510
+subgroups المطلوب أن نجيبهم هم عبارة عن مجموعات أو
+
+37
+00:03:35,510 --> 00:03:40,070
+subgroups من الـ G الـ order له عبارة عن قواسم من؟
+
+38
+00:03:40,070 --> 00:03:43,750
+التلاتين في البداية هجيب قواسم التلاتين ولكل 
+
+39
+00:03:43,750 --> 00:03:51,670
+قواسم هجيب الـ subgroup المناسبة the divisors of
+
+40
+00:03:51,670 --> 00:04:03,040
+تلاتين are من؟ واحد اتنين تلاتة أربعة؟ لأ خمسة ..
+
+41
+00:04:03,040 --> 00:04:13,480
+ستة .. عشرة .. خمسة عشر .. تلاتين طيب هدول القواسم 
+
+42
+00:04:13,480 --> 00:04:18,460
+تبعون التلاتين الجزء الثالث من النظرية بيعطينا شغل
+
+43
+00:04:18,460 --> 00:04:25,600
+ثانية أن الـ subgroup هذي generated by مين؟
+
+44
+00:04:29,140 --> 00:04:34,400
+تذكروني for any divisor k of n generated by a أس
+
+45
+00:04:34,400 --> 00:04:44,380
+n على k now for H واحد إيش يعني H واحد يعني الـ sub
+
+46
+00:04:44,380 --> 00:04:48,860
+group من الـ G اللي الـ order إلها إيش واحد هذه
+
+47
+00:04:48,860 --> 00:04:54,830
+بتكون generated by مين؟ by a أس تلاتين على واحد
+
+48
+00:04:54,830 --> 00:04:59,310
+يعني generated by a أس تلاتين a أس تلاتين كده
+
+49
+00:04:59,310 --> 00:05:05,970
+الشباب a أس تلاتين الـ identity لأن الـ order على الـ a 
+
+50
+00:05:05,970 --> 00:05:09,690
+بيساوي تلاتين يكبر هذا generated by الـ identity 
+
+51
+00:05:09,690 --> 00:05:15,750
+ومافيش فيها غير مين مافيش فيها غير مين غير الـ
+
+52
+00:05:15,750 --> 00:05:17,970
+identity طيب H2
+
+53
+00:05:20,000 --> 00:05:23,120
+H2 يعني الـ subgroup للـ order اللي هتنين
+
+54
+00:05:23,120 --> 00:05:29,340
+generated by مين؟ by A أس ثلاثين على اتنين يعني A
+
+55
+00:05:29,340 --> 00:05:35,140
+أس خمسة عشر اللي عبارة عن الـ identity والـ A أس
+
+56
+00:05:35,140 --> 00:05:43,580
+خمسة عشر H3 عبارة عن generated by A أس ثلاثين على 
+
+57
+00:05:43,580 --> 00:05:49,370
+تلاتة يعني by A أس عشرة يعني الـ identity a أس
+
+58
+00:05:49,370 --> 00:05:58,030
+عشرة a أس عشرين خمسة خمسة خمسة خمسة خمسة خمسة
+
+59
+00:05:58,030 --> 00:06:03,830
+خمسة خمسة خمسة خمسة خمسة خمسة خمسة خمسة
+
+60
+00:06:03,830 --> 00:06:07,990
+خمسة خمسة خمسة خمسة خمسة خمسة خمسة خمسة خمسة خمسة
+
+61
+00:06:07,990 --> 00:06:10,390
+خمسة خمسة خمسة خمسة خمسة خمسة خمسة خمسة خمسة خمسة
+
+62
+00:06:10,390 --> 00:06:10,650
+خمسة خمسة خمسة خمسة خمسة خمسة خمسة خمسة خمسة خمسة
+
+63
+00:06:10,650 --> 00:06:16,430
+خمسة خمسة خمسة خمسة خمسة خمسة خمسة حA أس 12 A أس
+
+64
+00:06:16,430 --> 00:06:22,470
+18 A أس 24 وبقف لأن A أس 30 هترجعني للـ
+
+65
+00:06:22,470 --> 00:06:27,330
+identity H6 عبارة
+
+66
+00:06:27,330 --> 00:06:33,990
+عن generated by A أس 30 على 6 يعني A أس 5
+
+67
+00:06:35,060 --> 00:06:41,960
+Identity أس خمسة أس عشرة أس خمسة عشر أس عشرين
+
+68
+00:06:41,960 --> 00:06:47,640
+أس خمسة وعشرين ابن جاف لحظة شباب H6 تحتوي
+
+69
+00:06:47,640 --> 00:06:56,820
+داخلها مين H3 وH2 ليش؟ لأن الخمسة
+
+70
+00:06:56,820 --> 00:07:02,620
+أو الستة أو التلاتة بتقسم الستة والتنين بتقسم
+
+71
+00:07:02,620 --> 00:07:10,840
+الستة طيب H مين بعد الستة؟ عشرة فهذا هيساوي الـ
+
+72
+00:07:10,840 --> 00:07:16,980
+identity a والتلاتة a والستة a والتسعة لعند a
+
+73
+00:07:16,980 --> 00:07:25,580
+والسبعة وعشرين وH خمسة عشر هتصير a a التربيع a
+
+74
+00:07:25,580 --> 00:07:34,820
+والأربعة لعند a والتمانية وعشرين وآخر واحدة H30 إلى
+
+75
+00:07:34,820 --> 00:07:41,580
+الـ generated by الـ A إلى الـ G نفسها طبعا يكسر
+
+76
+00:07:41,580 --> 00:07:45,660
+عندي listing لكل الـ cyclic subgroup أو لكل الـ
+
+77
+00:07:45,660 --> 00:07:51,900
+subgroup من الـ group G اللي الـ order إلها بيساوي 30
+
+78
+00:07:51,900 --> 00:07:59,620
+أي سؤال يا شباب؟ أي 
+
+79
+00:07:59,620 --> 00:08:00,240
+سؤال؟
+
+80
+00:08:03,650 --> 00:08:12,610
+طيب لو خلينا هذا نفس المثال لكن على group معروفة الـ
+
+81
+00:08:12,610 --> 00:08:19,010
+generator إلها بشكل واضح يعني مش a كرقم لو قلنا 
+
+82
+00:08:19,010 --> 00:08:27,510
+مثلا find all subgroups
+
+83
+00:08:27,510 --> 00:08:37,120
+of Z 30 إيش هنعمل؟ هنعمل نفس الفكرة اللي اشتغلناها
+
+84
+00:08:37,120 --> 00:08:51,440
+مع فرق واحد أن الـ A شمالها الـ
+
+85
+00:08:51,440 --> 00:08:56,100
+A معروف هو الواحد solution
+
+86
+00:08:56,100 --> 00:09:02,400
+الـ Z 30 عبارة عن generated by الواحد والـ order
+
+87
+00:09:02,400 --> 00:09:09,680
+للواحد 30 using the
+
+88
+00:09:09,680 --> 00:09:18,720
+same method in the last example
+
+89
+00:09:18,720 --> 00:09:26,520
+we get the following cyclic
+
+90
+00:09:26,520 --> 00:09:28,980
+subgroups
+
+91
+00:09:32,670 --> 00:09:41,790
+generated by الواحد الـ H1 الواحد ولا مين الواحد
+
+92
+00:09:41,790 --> 00:09:46,550
+ولا مين الواحد ولا مين الواحد ولا مين الواحد ولا
+
+93
+00:09:46,550 --> 00:09:46,730
+مين الواحد ولا مين الواحد ولا مين الواحد ولا مين
+
+94
+00:09:46,730 --> 00:09:46,870
+الواحد ولا مين الواحد ولا مين الواحد ولا مين
+
+95
+00:09:46,870 --> 00:09:47,230
+الواحد ولا مين الواحد ولا مين الواحد ولا مين
+
+96
+00:09:47,230 --> 00:09:47,790
+الواحد ولا مين الواحد ولا مين الواحد ولا مين
+
+97
+00:09:47,790 --> 00:09:49,670
+الواحد ولا مين الواحد ولا مين الواحد ولا مين
+
+98
+00:09:49,670 --> 00:09:49,970
+الواحد ولا مين الواحد ولا مين الواحد ولا مين
+
+99
+00:09:49,970 --> 00:09:50,910
+الواحد ولا مين الواحد ولا مين الواحد ولا مين
+
+100
+00:09:50,910 --> 00:09:52,310
+الواحد ولا مين الواحد ولا مين الواحد ولا مين
+
+101
+00:09:52,310 --> 00:09:53,610
+الواحد ولا مين الواحد ولا مين الواحد ولا مين
+
+102
+00:09:53,610 --> 00:09:55,950
+الواحد ولا مين الواحد ولا مين الواحد ولا مين
+
+103
+00:09:55,950 --> 00:09:58,750
+الواحد
+
+104
+00:10:04,130 --> 00:10:13,790
+H5 الـ 0 الـ 6 الـ 12 الـ 18 الـ 24 وصولا لـ H30
+
+105
+00:10:13,790 --> 00:10:19,970
+اللي عبارة عن الـ Z30 نفسه واضح يا عادي؟ واضح يا
+
+106
+00:10:19,970 --> 00:10:22,870
+شباب؟ في كرولر عن مظهرية اللي فاتت
+
+107
+00:10:28,780 --> 00:10:32,780
+هي نفس الجزئية الثالثة من النظرية لكن على group
+
+108
+00:10:32,780 --> 00:10:44,280
+معروفة وهي Z,n for every k
+
+109
+00:10:44,280 --> 00:10:50,760
+يقسم الـ n there exists a unique subgroup
+
+110
+00:10:57,500 --> 00:11:14,340
+of ZN with order K namely generated
+
+111
+00:11:14,340 --> 00:11:20,260
+by مين؟ طبق الـ بند الثالث من النظرية السابقة لكن 
+
+112
+00:11:20,260 --> 00:11:26,080
+على ZN هيكون واحد أس n على K اللي هو أبعد عن مين؟
+
+113
+00:11:27,110 --> 00:11:34,170
+n على k مش
+
+114
+00:11:34,170 --> 00:11:40,970
+بس هيك these are
+
+115
+00:11:40,970 --> 00:11:47,630
+the only subgroups
+
+116
+00:11:47,630 --> 00:11:55,110
+of Z طبعا مافيش غيرها مافيش غيرهم هدول لكل قاسم
+
+117
+00:11:55,110 --> 00:12:01,530
+للـ n هنلاقي subgroup الـ order إلها هذا القاسم وهي
+
+118
+00:12:01,530 --> 00:12:07,090
+generated by من؟ by n على القاسم طبعا هذا طبقنا
+
+119
+00:12:07,090 --> 00:12:17,970
+عليه المثال الموجود جانب دي مثال سريع for Z مثلا
+
+120
+00:12:17,970 --> 00:12:23,910
+عشرين عند من؟ generated by الواحد generated by
+
+121
+00:12:23,910 --> 00:12:29,270
+الاثنين generated by الأربعة generated by الخمسة
+
+122
+00:12:29,270 --> 00:12:36,490
+and generated by العشرة and generated by العشرين
+
+123
+00:12:36,490 --> 00:12:50,990
+دول هم الـ only cyclic subgroups لـ Z عشرين أيه
+
+124
+00:12:50,990 --> 00:13:02,430
+السؤال يا شباب أي سؤال سؤال عالسريع find the number
+
+125
+00:13:02,430 --> 00:13:15,750
+of subgroups of G generated by a if order a بيساوي 
+
+126
+00:13:15,750 --> 00:13:16,810
+خمسة وعشرين
+
+127
+00:13:22,100 --> 00:13:28,380
+أوجد عدد الـ subgroups اللي موجودين في الجروب G
+
+128
+00:13:28,380 --> 00:13:33,620
+اللي الـ order للـ generator لها عبارة عن 25 نجيب
+
+129
+00:13:33,620 --> 00:13:39,400
+عدد قواسم الخمسة والعشرين ويكون هو عدد الـ subgroups
+
+130
+00:13:39,400 --> 00:13:44,040
+the divisors of
+
+131
+00:13:44,040 --> 00:13:51,560
+خمسة وعشرين are واحد، خمسة، وخمسة وعشرين يجب كموحدة
+
+132
+00:13:52,410 --> 00:14:02,190
+there are only three subgroups
+
+133
+00:14:02,190 --> 00:14:09,910
+of G فقط ثلاثة cyclic subgroups أو subgroups
+
+134
+00:14:09,910 --> 00:14:16,630
+موجودين هنا أنهينا السؤال المتعلق بعدد الـ cyclic
+
+135
+00:14:16,630 --> 00:14:22,350
+subgroup بيجي سؤال ثاني، السؤال الأول هو قداش عدد الـ
+
+136
+00:14:22,350 --> 00:14:27,970
+generator في الـ cyclic group؟ سؤال الثاني لو كان
+
+137
+00:14:27,970 --> 00:14:35,190
+عندي قاسم للـ order للـ group cyclic نقول لو كان
+
+138
+00:14:35,190 --> 00:14:38,610
+عندي قاسم فأنا بلاقي subgroup الـ order لهذا
+
+139
+00:14:38,610 --> 00:14:41,950
+القاسم لما أقول subgroup من cyclic والـ order
+
+140
+00:14:41,950 --> 00:14:45,090
+لهذا القاسم معناته أنها generator وهذا الـ
+
+141
+00:14:45,090 --> 00:14:49,170
+generator الـ order له بيساوي القاسم يعني لكل قاسم
+
+142
+00:14:49,170 --> 00:14:56,310
+لـ order الـ finite group cyclic بلاقي عنصر جوا الـ
+
+143
+00:14:56,310 --> 00:15:00,210
+لـ group الـ order إيه له هذا القاسم؟ طب السؤال كم
+
+144
+00:15:00,210 --> 00:15:06,410
+عنصر من هذا النوع بلاجي بلاقي واحد آه طب قداش
+
+145
+00:15:06,410 --> 00:15:12,430
+بالظبط عشان نقدر نعرف هذا الجواب هنعرف function
+
+146
+00:15:12,430 --> 00:15:17,670
+اسمه الـ Euler phi function هتدرس بالتفصيل في مساق
+
+147
+00:15:17,670 --> 00:15:20,950
+نظرية الأعداد definition
+
+148
+00:15:23,750 --> 00:15:35,810
+Euler Phi Function متعرفة
+
+149
+00:15:35,810 --> 00:15:45,290
+بالشكل التالي: Φ(1) = 1، if n 
+
+150
+00:15:45,290 --> 00:15:52,530
+أكبر من واحد then Φ(n) يساوي الـ number
+
+151
+00:15:56,000 --> 00:16:03,600
+of integers less than
+
+152
+00:16:03,600 --> 00:16:11,360
+n and عدد العدد الصحيح اللي أقل من الـ n and
+
+153
+00:16:11,360 --> 00:16:14,400
+relatively
+
+154
+00:16:14,400 --> 00:16:17,600
+prime
+
+155
+00:16:17,600 --> 00:16:21,300
+with
+
+156
+00:16:24,550 --> 00:16:27,690
+طبعًا أنا بتكلم مش عن integers بس أنا ممكن أضيف
+
+157
+00:16:27,690 --> 00:16:32,750
+كلمة the number of positive integers
+
+158
+00:16:32,750 --> 00:16:38,010
+عشان ما حدش يروح يحسب لي الأعداد السالبة في ملاحظة
+
+159
+00:16:38,010 --> 00:16:45,870
+غير أن note that Φ(n) عبارة عن الـ order للـ
+
+160
+00:16:45,870 --> 00:16:47,830
+group ℤn
+
+161
+00:16:49,930 --> 00:16:54,650
+Φ(n) عبارة عن order لجروب ℤn وهذا من المنطقي
+
+162
+00:16:54,650 --> 00:17:01,930
+لأن جروب ℤn تأخذ الأعداد المحصورة بين الواحد و
+
+163
+00:17:01,930 --> 00:17:12,590
+الـ n والتي تكون relatively prime with الـ n، الـ n
+
+164
+00:17:12,590 --> 00:17:16,810
+أكبر من واحد ده، لكن أنا ما أعد الـ n بعد الأعداد
+
+165
+00:17:16,810 --> 00:17:20,860
+الأقل منها فلازم يكونوا positive عشان أنا أشغل صح
+
+166
+00:17:20,860 --> 00:17:34,600
+طيب كمثال سريع لو
+
+167
+00:17:34,600 --> 00:17:39,080
+قلنا Φ(2) كده؟
+
+168
+00:17:39,080 --> 00:17:44,520
+واحد كم عدد جاب للتنين لغاية الـ 10 مع التنين؟
+
+169
+00:17:44,520 --> 00:17:45,440
+في الـ 10
+
+170
+00:17:49,180 --> 00:17:57,880
+1، 3، 7، 9 قداش؟ أربعة Φ(10) كم عدد جاب
+
+171
+00:17:57,880 --> 00:18:04,780
+أي عدد أولي relatively prime مع p - 1، p is
+
+172
+00:18:04,780 --> 00:18:16,320
+prime طيب Φ(2k) قداش؟ قداش؟
+
+173
+00:18:17,630 --> 00:18:20,690
+الاعداد الـ relatively prime مع الـ power للتنين هي
+
+174
+00:18:20,690 --> 00:18:25,390
+الاعداد الفردية فقط اللي عبارة عن إيش؟ 2k - 1
+
+175
+00:18:25,390 --> 00:18:33,390
+لو قلنا Φ(pk) عبارة
+
+176
+00:18:33,390 --> 00:18:37,030
+عن إيش؟
+
+177
+00:18:37,030 --> 00:18:42,590
+pk
+
+178
+00:18:42,590 --> 00:18:47,350
+- 1
+
+179
+00:18:48,650 --> 00:18:53,070
+هذا بصورة عامة لهذه العلاقة عشان نعممها على الأكثر
+
+180
+00:18:53,070 --> 00:19:02,490
+if n بدأت عن p1k1، p2k2، and prkr هيكون
+
+181
+00:19:02,490 --> 00:19:18,850
+then Φ(n) بدأت عن p1k1 - p1k1-1، في p2 - p2
+
+182
+00:19:18,850 --> 00:19:26,810
+- p2 - p2 - p2 - p2 - p2 - p2 - p2 - p2 - p2 - p2 - p2 - p2 - p2 - p2 - p2 - p2
+
+183
+00:19:26,810 --> 00:19:28,430
+- p2 - p2 - p2 - p2 - p2 - p2 - p2 - p2 - p2 - p2 - p2 - p2 - p2 - p2 - p2 - p2
+
+184
+00:19:28,430 --> 00:19:33,490
+- p2 - p2 - p2
+
+185
+00:19:33,910 --> 00:19:40,010
+والتفاصيل التفاصيل لكن بستعمل فيها concepts مش
+
+186
+00:19:40,010 --> 00:19:43,210
+موجودة عندي في هذا المساق أشتغل على الـ
+
+187
+00:19:43,210 --> 00:19:47,710
+multiplicative functions وبعض الأمور من هذا النوع
+
+188
+00:19:47,710 --> 00:19:54,370
+طيب
+
+189
+00:19:54,370 --> 00:19:58,010
+إيش دخل الـ function هذه في موضوعنا؟ هتيجي النظرية
+
+190
+00:19:58,010 --> 00:20:01,230
+الرابعة والرابعة وتوضح
+
+191
+00:20:05,040 --> 00:20:09,440
+بنخلصها إن شاء الله بضبط نظرية واحدة = رقم
+
+192
+00:20:09,440 --> 00:20:17,120
+معين let J = generated by a و نعتبر a
+
+193
+00:20:17,120 --> 00:20:18,100
+= n
+
+194
+00:20:21,780 --> 00:20:25,380
+d يقسم n طبعًا d يقسم n احنا هيك بنقول إن
+
+195
+00:20:25,380 --> 00:20:29,600
+يوجد only one subgroup of order d namely
+
+196
+00:20:29,600 --> 00:20:34,500
+generated by a<sup>n/d</sup> هيت السؤال قداش عدد الـ
+
+197
+00:20:34,500 --> 00:20:40,600
+generator then the
+
+198
+00:20:40,600 --> 00:20:48,320
+elements or the number of
+
+199
+00:20:48,320 --> 00:20:49,080
+elements
+
+200
+00:20:51,850 --> 00:21:05,150
+in J with order d is Φ(d) عدد العناصر في J اللي
+
+201
+00:21:05,150 --> 00:21:12,610
+الـ order لهم بيساوي d بيساوي إيش؟ Φ(d) نيجي نثبت
+
+202
+00:21:12,610 --> 00:21:16,270
+نيجي
+
+203
+00:21:16,270 --> 00:21:17,690
+نثبت العلاقة
+
+204
+00:21:20,740 --> 00:21:28,020
+الرابعة ثلاثة part c إيش الـ part c في النظرية هذه
+
+205
+00:21:28,020 --> 00:21:35,760
+بيقول؟ there exist a unique .. طبعًا there exist
+
+206
+00:21:35,760 --> 00:21:42,040
+unique subgroup of
+
+207
+00:21:42,040 --> 00:21:48,440
+J with order d
+
+208
+00:21:48,440 --> 00:21:50,100
+namely
+
+209
+00:21:53,030 --> 00:22:01,270
+generated by a<sup>n/d</sup> طيب
+
+210
+00:22:01,270 --> 00:22:06,550
+هل جيت؟ مدة ما فيش غير هذه الـ subgroup الـ order
+
+211
+00:22:06,550 --> 00:22:10,570
+اللي هي d، فالعناصر للـ order اللي هي d ممكن تكون
+
+212
+00:22:10,570 --> 00:22:11,350
+موجودة برة
+
+213
+00:22:15,080 --> 00:22:19,640
+الـ uniqueness لهذه الـ subgroup بخليني أقول إنه
+
+214
+00:22:19,640 --> 00:22:24,920
+جميع العناصر اللي الـ order لها d واللي موجودة
+
+215
+00:22:24,920 --> 00:22:35,780
+دي هي هذه الـ subgroup، هذا معناته all elements in J
+
+216
+00:22:35,780 --> 00:22:48,500
+with order d are in this subgroup طيب
+
+217
+00:22:48,500 --> 00:22:52,840
+كل
+
+218
+00:22:52,840 --> 00:22:57,080
+العناصر للـ order اللي d موجودين هنا يعني بـ  أنا
+
+219
+00:22:57,080 --> 00:23:01,960
+عرفت أكمع عنصر الـ order اللي d في هذه الـ subgroup
+
+220
+00:23:01,960 --> 00:23:08,420
+بكون خلصت now each
+
+221
+00:23:08,420 --> 00:23:12,900
+one of these elements
+
+222
+00:23:16,390 --> 00:23:23,370
+is a generator of
+
+223
+00:23:23,370 --> 00:23:30,930
+this subgroup
+
+224
+00:23:30,930 --> 00:23:38,070
+ليش؟ العنصر هذا الـ order له d وموجود في group الـ
+
+225
+00:23:38,070 --> 00:23:44,130
+order له d إيه بيكون لها؟ بيكون لها مولّب، بيكون
+
+226
+00:23:44,130 --> 00:23:49,090
+generator Now if
+
+227
+00:23:49,090 --> 00:23:56,370
+generated by a<sup>n/d</sup> ممكن أكتبها generated by
+
+228
+00:23:56,370 --> 00:24:05,470
+p with order p = d then the other
+
+229
+00:24:05,470 --> 00:24:10,130
+generators
+
+230
+00:24:10,130 --> 00:24:13,110
+are of the form
+
+231
+00:24:16,330 --> 00:24:29,370
+p<sup>k</sup> والجريس common divisor لـ d و k، و d = 1 رجع
+
+232
+00:24:29,370 --> 00:24:34,030
+ليش؟ لنظرية اللي أخذناها في أول الchapter إن الـ
+
+233
+00:24:34,030 --> 00:24:39,090
+generator أو الـ .. الـ .. حيكون عبارة عن عناصر الـ
+
+234
+00:24:39,090 --> 00:24:42,790
+order أو الـ .. الـ .. الـ .. الـ .. الـ power تبعها
+
+235
+00:24:42,790 --> 00:24:47,230
+لـ p<sup>k</sup> الـ divisor إلها relative لبرايم مع order لـ
+
+236
+00:24:47,230 --> 00:24:53,030
+group نفسها كم كيب اللاجي كم
+
+237
+00:24:53,030 --> 00:24:59,410
+كيب اللاجي relative لبرايم مع d يا شباب and we
+
+238
+00:24:59,410 --> 00:25:12,810
+can find .. find Φ(d) of this such k بقدر ألاقي
+
+239
+00:25:12,810 --> 00:25:22,790
+Φ(d) من هذه الأرقام k so the number of elements
+
+240
+00:25:22,790 --> 0:25:35,510
+in J with order d is Φ(d) وهو المطلوب
+
+241
+00:25:42,170 --> 00:25:45,330
+اللي صار كانت ثانية يا شباب أنا بدور على عناصر للـ
+
+242
+00:25:45,330 --> 00:25:49,450
+order d نقلت المسألة من إني أبحث في الـ J كلها
+
+243
+00:25:49,450 --> 00:25:54,170
+لإني أبحث وين في الـ subgroup للـ order d ميزة
+
+244
+00:25:54,170 --> 00:25:58,610
+العناصر هنا للـ order d إنها generator أنا عشان
+
+245
+00:25:58,610 --> 00:26:02,430
+أعد كام generator بأخد واحد من هذه الـ generators
+
+246
+00:26:02,430 --> 00:26:06,890
+فليكن p وباقي الـ generators عبارة عن p<sup>k</sup> و
+
+247
+00:26:06,890 --> 00:26:11,250
+الـ k relative لبرايم مع مين؟ مع الـ d كم عنصر بقدر
+
+248
+00:26:11,250 --> 00:26:15,110
+أجري relative لبرايم مع الـ d وأجال من الـ d محصوب من
+
+249
+00:26:15,110 --> 00:26:19,390
+الـ d والواحد وعبارة عن Φ(d) وبالتالي وجد Φ(d)
+
+250
+00:26:19,390 --> 00:26:25,270
+subgroup 
+
+251
+00:26:25,270 --> 00:26:30,010
+وحيدة في الـ G لكن كم element بولدها وحيد
+
+252
+00:26:36,100 --> 00:26:42,140
+يعني مثلا الـ z يوجد في الـ z 30 only subgroup of
+
+253
+00:26:42,140 --> 00:26:47,240
+order 15 هي generated by a 2 طبعا الـ a 2 في الـ z
+
+254
+00:26:47,240 --> 00:26:52,120
+30 يعني هي by 2 بس كم generator للـ generated by
+
+255
+00:26:52,120 --> 00:26:58,260
+2 في الـ z 30 بولد
+
+256
+00:26:58,260 --> 00:27:03,520
+الـ generated by 2 ما تقوليش فيه 2 لأ فيه 30
+
+257
+00:27:03,520 --> 00:27:13,280
+على 2 فيه 15 لو أعتقد بيطلع ثمانية طيب ناخذ مثال
+
+258
+00:27:13,280 --> 00:27:27,140
+رقمي من في الـ chapter then
+
+259
+00:27:27,140 --> 00:27:33,260
+find the
+
+260
+00:27:33,260 --> 00:27:39,200
+number of elements in
+
+261
+00:27:39,200 --> 00:27:49,720
+z 40 with order 20
+
+262
+00:27:49,720 --> 00:28:02,020
+كم عنصر في z 40 الـ order لهم 20 فعل
+
+263
+00:28:02,020 --> 00:28:09,740
+20 هذه النظرية اللي قدامك سهلوشين هناك
+
+264
+00:28:09,740 --> 00:28:20,800
+فايل 20 فايل
+
+265
+00:28:20,800 --> 00:28:31,900
+20 كده فايل 20 ثمانية تقدر
+
+266
+00:28:31,900 --> 00:28:32,320
+تجيبهم
+
+267
+00:28:35,510 --> 00:28:43,310
+تقدر تجيبهم؟ هذه العناصر الأخضر إلها ثمانية تعالوا
+
+268
+00:28:43,310 --> 00:28:55,170
+نفكر We to find them We
+
+269
+00:28:55,170 --> 00:29:02,810
+find one Let
+
+270
+00:29:06,040 --> 00:29:13,900
+مثلا a ينتمي لـ زد 40 و order الـ a بيساوي إيش؟
+
+271
+00:29:13,900 --> 00:29:22,420
+20 الـ a إيش هيساوي؟ مين هو العنصر اللي في زد
+
+272
+00:29:22,420 --> 00:29:25,020
+40؟ أو  أول واحد من العناصر اللي في زد 40
+
+273
+00:29:25,020 --> 00:29:29,540
+اللي الـ order له 20؟
+
+274
+00:29:29,540 --> 00:29:33,980
+الـ a أو
+
+275
+00:29:33,980 --> 00:29:39,490
+find ممكن ناخذ الـ a عبارة عن واحد اضرب 40 على
+
+276
+00:29:39,490 --> 00:29:45,350
+20 اللي هو عبارة عن 2 واحد اضرب 20 و
+
+277
+00:29:45,350 --> 00:29:50,790
+واحد اضرب 2 اللي هو 2 في زد 40 إيه
+
+278
+00:29:50,790 --> 00:29:53,850
+بالعنصر اللي الـ order إيه له 20 أو واحد العناصر
+
+279
+00:29:53,850 --> 00:29:59,210
+اللي الـ order إيه له 20 في زد 40 هو مين الـ
+
+280
+00:29:59,210 --> 00:30:02,570
+other elements are
+
+281
+00:30:06,130 --> 00:30:12,190
+ثانية نقص ثانية
+
+282
+00:30:12,190 --> 00:30:17,070
+نقص تسعة
+
+283
+00:30:17,070 --> 00:30:21,430
+أو سبعة في الأول ثانية نقص تسعة ثانية نقص أحد عشر
+
+284
+00:30:21,430 --> 00:30:35,650
+ثانية نقص ثلاثة عشر ثانية نقص 17 2 19 2 6 14 18 22 26
+
+285
+00:30:35,650 --> 00:30:48,250
+34 38 هذه هي العناصر اللي الـ order لها يساوي 20 في
+
+286
+00:30:48,250 --> 00:30:54,450
+z 40 تمام
+
+287
+00:30:58,650 --> 00:31:05,490
+ما هو هذا زد n الاص بيصير 2 اص 1 يعني أنا
+
+288
+00:31:05,490 --> 00:31:07,790
+واحد في 2 2 2 اص 3 أنا 3 في
+
+289
+00:31:07,790 --> 00:31:20,350
+2 6 2 اص 1 هذي لأ هذي سهلة هنفوت
+
+290
+00:31:20,350 --> 00:31:26,250
+هناخد جزء discussion مناقشة طبعا محاضرة الجزء اللي
+
+291
+00:31:26,250 --> 00:31:29,550
+ضال من محاضرة اليوم زاد المحاضرة اللي هناخدها
+
+292
+00:31:29,550 --> 00:31:34,270
+الساعة 12 زاد محاضرة الاثنين هنناقش فيهم مجموعة من
+
+293
+00:31:34,270 --> 00:31:39,770
+أسئلة chapter 4 ما بعرف هل هنخلص أو لأ إذا ما
+
+294
+00:31:39,770 --> 00:31:43,870
+خلصنا ممكن ناخذ محاضرة الأربعاء أو محاضرة تعويضية
+
+295
+00:31:43,870 --> 00:31:55,450
+للمناقشة أنا همسح الجزء هذا طبعا
+
+296
+00:31:57,470 --> 00:31:59,950
+زي ما أنت شايف هذا الـ chapter الأسئلة عددها كبير
+
+297
+00:31:59,950 --> 00:32:05,030
+يعني ما يقارب حوالي من خمسة وربع لخمسين سؤال ف أنا
+
+298
+00:32:05,030 --> 00:32:07,990
+مش هعمل زي الـ chapter الفاتح اللي الجميع هي بعض
+
+299
+00:32:07,990 --> 00:32:13,730
+الأسئلة هعطيك مساعدة إليك فيها و أنت تكمل يعني
+
+300
+00:32:13,730 --> 00:32:17,810
+خصوصا الأسئلة من واحد لخمسة عشر إما أسئلة حسابية أو
+
+301
+00:32:17,810 --> 00:32:23,730
+أسئلة سهل إن الطالب يقدر يعرفها لوحده
+
+302
+00:32:43,420 --> 00:32:49,200
+السؤال الأول find all generator of z6, z8, z20
+
+303
+00:32:49,200 --> 00:32:56,660
+طبعا الـ generator غيرنا عبارة عن مين؟ لو طلعنا على
+
+304
+00:32:56,660 --> 00:33:02,540
+نظرية أو corollary لنظرية الأولى كان بيقولك الـ
+
+305
+00:33:02,540 --> 00:33:06,660
+generator لـ zn هي عبارة عن مين؟ عن الأرقام اللي
+
+306
+00:33:06,660 --> 00:33:10,160
+relative لـ برايم مع الـ n اللي هي فعليا عبارة عن إيش؟
+
+307
+00:33:10,160 --> 00:33:15,950
+عناصر الـ UN فلو داشت على زد 30 أو زد 20
+
+308
+00:33:15,950 --> 00:33:21,470
+منهم ما هيكونوا 1 و 3 و 7 و 9 11
+
+309
+00:33:21,470 --> 00:33:26,250
+13 17 19 أعتقد حلنا السؤال على ز
+
+310
+00:33:26,250 --> 00:33:36,580
+30 أثناء الحل لو دينا سؤال 2 Suppose that
+
+311
+00:33:36,580 --> 00:33:39,960
+A, B or generated by A, generated by B, generated
+
+312
+00:33:39,960 --> 00:33:45,040
+by C are cyclic group of order 6, 8, 20 Find all
+
+313
+00:33:45,040 --> 00:33:49,300
+generators generated by A, generated by B,
+
+314
+00:33:49,540 --> 00:33:53,780
+generated by C حلنا سؤال على هذا النمط، لو اشتغلنا
+
+315
+00:33:53,780 --> 00:33:58,680
+مثلا على generated by C و الـ order لـ C بدي يساوي
+
+316
+00:33:58,680 --> 0:34:03,420
+20 فـ generated by C هو نفسه generated by C تكعيب
+
+317
+00:34:04,170 --> 00:34:08,850
+Generated by C أس 7 Generated by C أس 9
+
+318
+00:34:08,850 --> 00:34:08,930
+Generated by C أس 9 Generated by C أس 9
+
+319
+00:34:08,930 --> 00:34:10,850
+Generated by C أس 9 Generated by C أس 9
+
+320
+00:34:10,850 --> 00:34:12,410
+Generated by C أس 9 Generated by C أس 9
+
+321
+00:34:12,410 --> 00:34:12,690
+Generated by C أس 9 Generated by C أس 9
+
+322
+00:34:12,690 --> 00:34:12,710
+Generated by C أس 9 Generated by C أس 9
+
+323
+00:34:12,710 --> 00:34:15,370
+Generated by C أس 9 Generated by C أس 9
+
+324
+00:34:15,370 --> 00:34:21,850
+Generated by C أس 9 Generated
+
+325
+00:34:21,850 --> 00:34:29,600
+by C أس 9 Generated by list all elements of the
+
+326
+00:34:29,600 --> 00:34:35,580
+subgroups generated by 20 generated by 10 in z 30
+
+327
+00:34:35,580 --> 00:34:42,040
+let a,b طبعا سؤال 3 هو نفسه 1 و 2 لكن
+
+328
+00:34:42,040 --> 00:34:50,240
+على مين على الـ order 30 تقل
+
+329
+00:34:50,240 --> 00:34:51,960
+السؤال الرابع when
+
+330
+00:34:56,310 --> 00:35:07,450
+C plus 1 هي نفس الـ C سؤال
+
+331
+00:35:07,450 --> 00:35:19,490
+4 زي سؤال 3 سؤال 5 في شغل نشغل في U20 يو
+
+332
+00:35:19,490 --> 00:35:24,790
+20 جداش يا شباب؟ 1، 3، 7، 9، 11،
+
+333
+00:35:24,790 --> 00:35:30,650
+13، 17، 19 List the elements of
+
+334
+00:35:30,650 --> 00:35:34,430
+generated by 3 و 7 ناخذ generated by 7
+
+335
+00:35:34,430 --> 00:35:43,250
+مثلا اللي عبارة عن الـ 1 الـ 7 7 تربيع جداش؟
+
+336
+00:35:43,250 --> 00:35:50,760
+49 مدة 20 جداش؟ 9 7 تكعيب يعني
+
+337
+00:35:50,760 --> 00:36:02,320
+7 في 9 63 قصتين 3 7 أس 4 يعني
+
+338
+00:36:02,320 --> 00:36:07,200
+7 في 3 يعني 21 و 1 طبعا
+
+339
+00:36:07,200 --> 00:36:14,020
+generated by 3 عبارة عن من؟ 1 3 3
+
+340
+00:36:14,020 --> 00:36:17,980
+تربيع 9 بعدين 27 7 بعدين 1 بعدين
+
+341
+00:36:21,630 --> 00:36:26,370
+طيب سؤال الـ 6 what do exercises 3 و 4 و
+
+342
+00:36:26,370 --> 00:36:29,510
+5 have in common try to make a generalization
+
+343
+00:36:29,510 --> 00:36:36,730
+that includes these three cases أنت لما تحل سؤال
+
+344
+00:36:36,730 --> 00:36:43,070
+3 و 4 و 5 إيش بتستنتجه؟
+
+345
+00:36:43,070 --> 00:36:49,430
+إيش الاستنتاجات اللي ممكن تستنتجها؟ لو طلعنا على 5
+
+346
+00:36:50,250 --> 00:36:54,730
+هنستنتج أن الـ generated by الـ element و الـ
+
+347
+00:36:54,730 --> 00:37:00,530
+generated by الـ inverse تبعهم نفس الشيء طيب لو
+
+348
+00:37:00,530 --> 00:37:03,410
+جينا للسؤال 4 list the elements of the subgroups 3
+
+349
+00:37:03,410 --> 00:37:08,490
+and 15 in Z18 الـ 3 و الـ 15 في Z18 شمالهم
+
+350
+00:37:08,490 --> 00:37:12,310
+برضه inverse لو جينا للسؤال 3
+
+351
+00:37:16,050 --> 00:37:19,390
+10 و 20 في زي الـ 30 شمالهم برضه inverse
+
+352
+00:37:19,390 --> 00:37:24,630
+يجب الاستنتاج تبع سؤال 3 أو 4 أو 5 اللي
+
+353
+00:37:24,630 --> 00:37:30,010
+أنا بدي أحطه في سؤال 6 أنه generated by الـ a
+
+354
+00:37:30,010 --> 00:37:38,670
+generated by الـ a inverse وهذا أثبتناه في chapter
+
+355
+00:37:38,670 --> 00:37:39,450
+3
+
+356
+00:37:42,190 --> 00:37:47,870
+طيب 7 find an example of a non-cyclic group all
+
+357
+00:37:47,870 --> 00:37:53,810
+of whose proper subgroup are cyclic اعطيني group
+
+358
+00:37:53,810 --> 00:38:01,210
+not cyclic لأن كل الـ subgroup اسمينها cyclic ما ارت
+
+359
+00:38:01,210 --> 00:38:07,730
+علينا في الـ chapter اللي فات خدناها D6
+
+360
+00:38:07,730 --> 00:38:11,490
+و D4 أي واحدة من الـ D
+
+361
+00:38:14,340 --> 00:38:23,440
+بتكون صحيحة D4 أو D6 أو D8 بكون
+
+362
+00:38:23,440 --> 00:38:33,260
+صح الـ U8 سائق لك الـ U8 صح
+
+363
+00:38:33,260 --> 00:38:39,200
+صح الـ U8 8
+
+364
+00:38:41,150 --> 00:38:44,110
+let a be an element of a group and let order a
+
+365
+00:38:44,110 --> 00:38:47,990
+بيساوي 15 compute the orders of the following طبعا
+
+366
+00:38:47,990 --> 00:38:57,390
+هذا سهل مثلا الـ order لـ a أس 9 عبارة عن عبارة عن
+
+367
+00:38:57,390 --> 00:39:04,510
+إيش الـ order لـ a أس k عبارة عن إيش في نظرية في أول
+
+368
+00:39:04,510 --> 00:39:10,650
+واحدة خدناها and على الـ order لـ a of k عبارة عن n
+
+369
+00:39:10,650 --> 00:39:14,690
+على الـ gcd لـ n و k يعني عبارة عن
+
+370
+00:39:14,690 --> 00:39:20,170
+15 على gcd لـ 15 و 9 فتطلع
+
+371
+00:39:20,170 --> 00:39:27,450
+5 طبعا نفس القصة في b و نفس القصة في c
+
+372
+00:39:33,530 --> 00:39:41,330
+سؤال 9 how many subgroups of Z20 توحي لنا توحي
+
+373
+00:39:41,330 --> 00:39:47,070
+لنا يا شباب في Z20 كم subgroup اللي أجي؟ عوامل الـ 20
+
+374
+00:39:47,070 --> 00:39:51,850
+عوامل الـ 20 أو عوامل الـ 20؟ لأ عوامل الـ 20
+
+375
+00:39:51,850 --> 00:39:56,530
+generator لكن subgroup إحنا قلنا فيه عددين عدد ال 
+
+376
+00:39:56,530 --> 00:40:01,370
+subgroups اللي هو عدد القواسم لكن عدد ال generator
+
+377
+00:40:01,370 --> 00:40:08,170
+اللي هو ال file عدد القواسم من ال 20 جديش 1، 2، 4، 
+
+378
+00:40:08,170 --> 00:40:14,250
+5، 10، و 20 طبعا سهل أنك تتعامل مع هذا السؤال سؤال
+
+379
+00:40:14,250 --> 00:40:20,770
+10 انزد 24 list all generator سؤال 10 زي سؤال 9
+
+380
+00:40:20,770 --> 00:40:27,470
+سؤال 11 generated by ال A inverse ممكن تساوي
+
+381
+00:40:27,470 --> 00:40:28,410
+generated by D
+
+382
+00:40:33,860 --> 00:40:42,580
+أه كيف نثبتها دي في
+
+383
+00:40:42,580 --> 00:40:46,980
+طريقة ثانية أما طريقة الـ C3 answer hand موجودة
+
+384
+00:40:46,980 --> 00:40:53,420
+هنا والعكس أو طريقة مباشرة generated by ال A
+
+385
+00:40:53,420 --> 00:41:00,740
+عبارة عن ايش عبارة عن ال A to K I to K من وين
+
+386
+00:41:06,270 --> 00:41:14,650
+هو نفسه عبارة عن a أس سالب k حيث سالب k في زي اين
+
+387
+00:41:14,650 --> 00:41:23,710
+طب a أس سالب k عبارة عن ايش a inverse أس k حيث k
+
+388
+00:41:23,710 --> 00:41:30,670
+في زي اللي هو عبارة عن generated by a inverse طبعا
+
+389
+00:41:30,670 --> 00:41:37,550
+السبب أن هذه الجملة K في Z و A to K تكافئ A و سالب
+
+390
+00:41:37,550 --> 00:41:42,310
+K و سالب K في Z هجيتها دي خلتها زي ما هي سالب K في
+
+391
+00:41:42,310 --> 00:41:49,110
+Z تكافئ أن K و A موجودة في Z بصر Generated by A هي
+
+392
+00:41:49,110 --> 00:41:52,370
+نفسه Generated by A inverse إذا كان حاسس أنك مش
+
+393
+00:41:52,370 --> 00:41:58,750
+فاهم هذه الطريقة بإمكانك تاخد answer هنا عنصر P
+
+394
+00:41:58,750 --> 00:42:02,110
+ينتبه الـ generated by الـ A فعبارة عن ال A to T
+
+395
+00:42:02,110 --> 00:42:06,970
+فهو نفس ال A inverse السلب T فصار العنصر موجود في
+
+396
+00:42:06,970 --> 00:42:18,610
+generated by ال A inverse والعكس صحيح السؤال
+
+397
+00:42:18,610 --> 00:42:21,930
+12 in Z find all generators of the subgroup
+
+398
+00:42:21,930 --> 00:42:25,270
+generated by تلاتة طبعا
+
+399
+00:42:28,140 --> 00:42:31,620
+في z generated by التلاتة عبارة عن ايش يا شباب
+
+400
+00:42:31,620 --> 00:42:35,000
+generated
+
+401
+00:42:35,000 --> 00:42:40,540
+by التلاتة في z صفر موجب سالب تلاتة موجب سالب ستة
+
+402
+00:42:40,540 --> 00:42:49,360
+موجب سالب تسعة إلى آخرين بدنا ال generator لهذه
+
+403
+00:42:49,360 --> 00:42:54,980
+ال subgroup ال
+
+404
+00:42:54,980 --> 00:42:56,420
+generators عبارة عن
+
+405
+00:43:00,720 --> 00:43:08,300
+التلاتة ومين كمان؟ والسالب تلاتة حالي بيقدر يقول
+
+406
+00:43:08,300 --> 00:43:13,980
+لي ليش ماخدتش غيره؟ أنا لو أخدت الستة، الستة مش
+
+407
+00:43:13,980 --> 00:43:19,880
+هتولد التلاتة، أنا بشغل في infinite الجهود، لو
+
+408
+00:43:19,880 --> 00:43:23,660
+أخدت التسعة، التسعة مش هتولد الستة، يعني مافيش
+
+409
+00:43:23,660 --> 00:43:28,510
+جدام غير مين؟ موجب سالب تلاتة طب هنتعميمها في ال
+
+410
+00:43:28,510 --> 00:43:36,410
+infinite order ال generator by a تكييب هي نفس ال a
+
+411
+00:43:36,410 --> 00:43:46,090
+تكييب وال a والسالب تلاتة هننهي عن السؤال تلتاشر
+
+412
+00:43:46,090 --> 00:43:50,610
+إن شاء الله بنكمل في محاضرة اليوم الساعة اتناشر
+
+413
+00:43:50,610 --> 00:43:53,550
+بقى في الأسئلة يعطيكوا العافية كل عام تبقى مرة
+
+414
+00:43:53,550 --> 00:43:53,910
+ثانية 
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/TxbkO72dNBs.srt b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/TxbkO72dNBs.srt
new file mode 100644
index 0000000000000000000000000000000000000000..e9ffe94d3675f026244dbecfb3105d632f6a1795
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/TxbkO72dNBs.srt
@@ -0,0 +1,1699 @@
+1
+00:00:22,350 --> 00:00:26,430
+بنكمل برهان اللمة اللي ابتدأنا فيه المحاضرة
+
+2
+00:00:26,430 --> 00:00:30,950
+الماضية طبعًا اللمة هذه عبارة عن ثماني نقاط برهان
+
+3
+00:00:30,950 --> 00:00:36,090
+منها اللي هو خمس نقاط بنجي الآن لنقطة السادسة
+
+4
+00:00:36,090 --> 00:00:43,270
+النقطة رقم ستة بيقول لي أن ال order للـ A H يساوي ال
+
+5
+00:00:43,270 --> 00:00:50,110
+order للـ B H المقصود من ذلك أنه لو عملت أي left
+
+6
+00:00:50,110 --> 00:00:54,430
+coset أو right coset لـ subgroup من الـ group
+
+7
+00:00:54,430 --> 00:00:59,690
+الأساسية بدي يطلع في كل left coset نفس العدد من
+
+8
+00:00:59,690 --> 00:01:03,810
+العناصر أو لو كانت right cosets بضبط بدي يطلع في
+
+9
+00:01:03,810 --> 00:01:09,290
+كل اثنتين أو كلهم هيطلع في كل واحدة فيهم نفس العدد
+
+10
+00:01:09,290 --> 00:01:14,770
+من العناصر يبقى order للـ A H يساوي order للـ B H
+
+11
+00:01:14,770 --> 00:01:20,510
+لكل الـ A والـ B الموجودة في group G يبقى هذا صحيح
+
+12
+00:01:20,510 --> 00:01:27,460
+لكل الـ A والـ B الموجودة في group G مشان نثبت أن
+
+13
+00:01:27,460 --> 00:01:30,700
+ال order لـ group يساوي ال order لـ group قولنا يكفي
+
+14
+00:01:30,700 --> 00:01:33,940
+نثبت أنه في function ما بين الاتنين والـ function
+
+15
+00:01:33,940 --> 00:01:38,000
+تبقى one to one and onto هذا بيعطيني أن عدد
+
+16
+00:01:38,000 --> 00:01:44,140
+العناصر في الأولى يساوي عدد العناصر في الثانية لذلك
+
+17
+00:01:44,140 --> 00:01:47,940
+بدي أجي أبرهن هذه النقطة بقوله define
+
+18
+00:01:51,950 --> 00:02:01,920
+في من الـ A H إلى الـ B H بالـ Phi لما تأثر على
+
+19
+00:02:01,920 --> 00:02:07,520
+أي بدي آخذ element من H وليكن A H بوديها للـ B H
+
+20
+00:02:07,520 --> 00:02:15,440
+يبقى بده يساوي B H الكلام هذا صحيح لكل الـ H اللي 
+
+21
+00:02:15,440 --> 00:02:20,920
+موجودة وين موجودة في H بدي نثبت هذه one to one and
+
+22
+00:02:20,920 --> 00:02:30,880
+onto يبقى باجي بقوله في هذه الحالة Phi is one to
+
+23
+00:02:30,880 --> 00:02:39,040
+one Assume بروح آخذ صورتين متساويتين أن Phi of A
+
+24
+00:02:39,040 --> 00:02:48,390
+H1 يساوي Phi of A H2 بدي أحاول أثبت أن الـ A H1 يساوي
+
+25
+00:02:48,390 --> 00:02:53,570
+الـ PH1 يساوي الـ PH2 إن تم ذلك يبقى بيصير PH1 to
+
+26
+00:02:53,570 --> 00:03:00,070
+PH1 بناء على التعريف يبقى هذا بيساوي BH1 وهذا
+
+27
+00:03:00,070 --> 00:03:08,310
+بيساوي BH2 بالـ left cancellation law هذه بتعطينا
+
+28
+00:03:15,660 --> 00:03:22,020
+لو ضربت الطرفين من جهتي اليسار في a بيصير a h1
+
+29
+00:03:22,020 --> 00:03:27,420
+يساوي a h2 وبالتالي Phi is one to one
+
+30
+00:03:33,850 --> 00:03:41,170
+بتروح وآخذ element من الـ codomain وأثبت إنه أصله
+
+31
+00:03:41,170 --> 00:03:45,590
+وين في الـ domain يبقى بدي أجي على الـ BH بدي آخذ
+
+32
+00:03:45,590 --> 00:03:50,430
+element منها وأثبت إن هذا الـ element له أصل في
+
+33
+00:03:50,430 --> 00:03:57,330
+domain في الـ A H يبقى باجي بقول افترض إن X موجود وين
+
+34
+00:03:57,330 --> 00:04:03,350
+موجود في الـ B H تمام؟
+
+35
+00:04:03,690 --> 00:04:13,470
+يبقى then الـ X هذا بده يساوي B H for some H اللي 
+
+36
+00:04:13,470 --> 00:04:22,190
+belongs to domain to H طيب هذا أليس هو B H طبقا اللي
+
+37
+00:04:22,190 --> 00:04:28,900
+التعريف هو Phi of A H معنى هذا الكلام أن Phi is on
+
+38
+00:04:28,900 --> 00:04:32,520
+to خلاص
+
+39
+00:04:32,520 --> 00:04:40,800
+ننتهي هنا منها يبقى هنا Sir Phi is one to one and
+
+40
+00:04:40,800 --> 00:04:50,090
+on to وهذا يتطلب أن ال order للـ A H هو order للـ B H
+
+41
+00:04:50,090 --> 00:04:55,610
+يبقى من الآن فصاعدًا لما نأخذ subgroup من الـ group
+
+42
+00:04:55,610 --> 00:05:00,970
+أجي واضرب أي element من G في هذا الـ H من جهة
+
+43
+00:05:00,970 --> 00:05:05,690
+الشمال أو جهة اليمين إن شاء الله يطلع عنده مائة
+
+44
+00:05:05,690 --> 00:05:11,030
+cosets يبقى المائة كل واحدة فيها نفس العدد من
+
+45
+00:05:11,030 --> 00:05:15,210
+العناصر فيها عشرين يبقى الثانية فيها عشرين الثالثة
+
+46
+00:05:15,210 --> 00:05:20,010
+عشرين إلى آخره وهكذا هذا بالنسبة للنقطة رقم ستة
+
+47
+00:05:20,010 --> 00:05:26,770
+بنجي للنقطة رقم سبعة يبقى النقطة رقم سبعة بتقول إن
+
+48
+00:05:26,770 --> 00:05:35,690
+الـ A H بده يساوي الـ H A if and only if الـ H بده
+
+49
+00:05:35,690 --> 00:05:44,610
+يساوي A H A inverse بدنا نبرهن صحة هذا الكلام لـ
+
+50
+00:05:44,610 --> 00:05:51,030
+prove خلّي أبقى لك هنا الآن الوضع سيكون في اتجاهين
+
+51
+00:05:51,030 --> 00:05:56,350
+لكن ممكن نجيب الاتجاهين مع بعض مرة واحدة الآن
+
+52
+00:05:56,350 --> 00:06:01,990
+إذا كنت قاعد أقول له A H سيكون H A if and only
+
+53
+00:06:01,990 --> 00:06:09,900
+if لو ضربت الطرفين من جهتي اليمين في الـ A 
+
+54
+00:06:09,900 --> 00:06:17,600
+inverse يبقى هذا الكلام بيصير A H A inverse بالشكل
+
+55
+00:06:17,600 --> 00:06:24,720
+اللي عندنا هذا يساوي H A في الـ A inverse بالشكل
+
+56
+00:06:24,720 --> 00:06:29,470
+اللي عندنا هذا يبقى هذا الكلام if and only if من
+
+57
+00:06:29,470 --> 00:06:33,990
+خاصية الـ associativity ممكن أعمل دمج ما بين
+
+58
+00:06:33,990 --> 00:06:41,860
+الاثنين هدول فبيصير عندي A H A inverse بده يساوي هذا
+
+59
+00:06:41,860 --> 00:06:47,440
+الـ H وخاصية الـ associativity يبقى الـ A في الـ A
+
+60
+00:06:47,440 --> 00:06:52,760
+inverse بالشكل اللي عندنا هنا طب الكلام هذا صحيح
+
+61
+00:06:52,760 --> 00:07:01,200
+if and only if الـ A H A inverse A H A inverse بده
+
+62
+00:07:01,200 --> 00:07:02,680
+يساوي تمام
+
+63
+00:07:09,090 --> 00:07:13,510
+يبقى H في الـ identity element تبع الـ group اللي
+
+64
+00:07:13,510 --> 00:07:23,450
+هو G هذا if and only if A H A inverse بده يساوي من
+
+65
+00:07:23,450 --> 00:07:27,110
+نفسه لأن الـ identity element أو ضربه في أي
+
+66
+00:07:27,110 --> 00:07:31,930
+element بيطلع نفس الـ element اللي هو هو المطلوب
+
+67
+00:07:32,700 --> 00:07:38,240
+النقطة الأخيرة اللي هي النقطة الثامنة بتقول ...
+
+68
+00:07:38,240 --> 00:07:46,480
+بتقول أن الـ A H is a subgroup من G if and only if
+
+69
+00:07:46,480 --> 00:07:51,980
+الـ A belongs to domain if and only if الـ A belongs
+
+70
+00:07:51,980 --> 00:07:55,360
+لمين لـ الـ H طيب تمام
+
+71
+00:07:59,780 --> 00:08:03,740
+المرة السابقة قلنا أن الـ left cosets قد تكون
+
+72
+00:08:03,740 --> 00:08:08,100
+subgroup وقد لا تكون subgroup تمام؟ لكن in
+
+73
+00:08:08,100 --> 00:08:12,760
+general ماهي subgroup هنا بيحط لي الـ chart إيش
+
+74
+00:08:12,760 --> 00:08:17,340
+اللي يخلي الـ left coset subgroup هو أن ضربها في
+
+75
+00:08:17,340 --> 00:08:24,600
+عنصر من عناصر من من عناصر H itself يبقى الـ A H
+
+76
+00:08:24,600 --> 00:08:29,140
+عبارة عن subgroup من G إذا كان الـ A اللي ضربته هذه
+
+77
+00:08:29,140 --> 00:08:35,760
+من H نفسها وليس وليس من خارجها يبقى الآن بداجي
+
+78
+00:08:35,760 --> 00:08:44,660
+أقوله assume that افترض أن الـ A H is a subgroup من
+
+79
+00:08:44,660 --> 00:08:50,820
+G بنحاول نثبت أن الـ A موجود في الـ H وهذا هو الاتجاه
+
+80
+00:08:50,820 --> 00:08:58,440
+الأول طيب تمام السؤال هو هل يا شباب هذه تحتوي على
+
+81
+00:08:58,440 --> 00:09:04,340
+الـ identity element؟ ليش؟ لأنها subgroup يبقى باجي
+
+82
+00:09:04,340 --> 00:09:12,640
+بقوله الـ E موجودة في الـ H since الـ H is a subgroup
+
+83
+00:09:12,640 --> 00:09:22,170
+من G تمام؟ طيب and الـ E موجودة في الـ H ولا لا؟ لأن
+
+84
+00:09:22,170 --> 00:09:27,890
+الـ H كذلك هي subgroup يبقى الـ E موجودة هنا والـ E
+
+85
+00:09:27,890 --> 00:09:35,600
+موجودة هنا طب الـ H أليست هي E في H؟ يعني صارت هذه
+
+86
+00:09:35,600 --> 00:09:41,480
+left coset وهذه left coset لجهة element موجودة
+
+87
+00:09:41,480 --> 00:09:46,540
+في الاثنين يبقى الـ intersection تبعهم لا يمكن أن
+
+88
+00:09:46,540 --> 00:09:58,430
+يساوي فاي يبقى A اللي هو E belongs to A H والـ E H
+
+89
+00:09:58,430 --> 00:10:05,450
+هذا معناه أن الـ E H لا
+
+90
+00:10:05,450 --> 00:10:13,580
+يمكن أن يساوي فاي فيما دام لا يمكن أن يساوي فاي معناه
+
+91
+00:10:13,580 --> 00:10:17,680
+الاثنين هدول are equal من النقطة ما بعرف كده رقمها
+
+92
+00:10:17,680 --> 00:10:22,200
+خمسة أو ثلاثة عندنا من اللي ملم المرة الماضية يبقى
+
+93
+00:10:22,200 --> 00:10:29,120
+هذا معناه أن الـ A H بده يساوي الـ E H يعني الـ A H
+
+94
+00:10:29,120 --> 00:10:37,380
+بده يساوي الـ H itself طيب إذا هدول بتساووا أليست الـ A
+
+95
+00:10:37,380 --> 00:10:41,900
+موجودة في H النقطة برهنها برضه المرة الماضية ما
+
+96
+00:10:41,900 --> 00:10:47,500
+بعرف اثنين أو ثلاثة بالكتير مادام الـ A H يساوي H
+
+97
+00:10:47,500 --> 00:10:52,780
+هذا معناه أن الـ A belongs to H اللي هو الاتجاه
+
+98
+00:10:52,780 --> 00:10:58,060
+الأول بدنا نيجي للاتجاه الثاني فباجي بقوله
+
+99
+00:10:58,060 --> 00:11:00,080
+conversely
+
+100
+00:11:01,310 --> 00:11:09,050
+بالعكس يبقى assume افترض أن الـ A belongs to H بدا
+
+101
+00:11:09,050 --> 00:11:14,570
+أحاول أثبت أن الـ A H is a subgroup مدام الـ A
+
+102
+00:11:14,570 --> 00:11:23,350
+belongs to H then الـ A H بده يساوي الـ H مظبوط؟
+
+103
+00:11:25,320 --> 00:11:30,400
+صح برهان مدام الـ A belongs to H لأن if and only if
+
+104
+00:11:30,400 --> 00:11:34,280
+يعني كانت النقطة عندها بتقول أن الـ A H بدي يساوي H
+
+105
+00:11:34,280 --> 00:11:38,420
+if and only if الـ A belongs to H طب احنا فرضين الـ
+
+106
+00:11:38,420 --> 00:11:43,060
+A belongs to H بجه الاثنين هدول بيساووا بعض تمامًا طب
+
+107
+00:11:43,060 --> 00:11:49,000
+هدا subgroup ولا لأ إذا هدا من subgroup هذا بدي
+
+108
+00:11:49,000 --> 00:11:57,220
+يعطينا أن الـ A H is a subgroup من G because الـ H
+
+109
+00:11:57,220 --> 00:12:05,920
+is a subgroup من G على هيك بيكون برهننا النقاط
+
+110
+00:12:05,920 --> 00:12:12,120
+الثمانية لهذه اللمة وهي علاقة الـ cosets مع بعضها
+
+111
+00:12:12,120 --> 00:12:18,280
+أو مع بعضهم البعض طيب في عندي ملاحظة هنا منحب نشير
+
+112
+00:12:18,280 --> 00:12:26,460
+إليها الـ remark بتقول ما يأتي إذا الـ H هي الـ
+
+113
+00:12:26,460 --> 00:12:31,460
+special linear group of two by two matrices over R
+
+114
+00:12:31,460 --> 00:12:35,720
+وهذه الـ subgroup من الـ general linear group of
+
+115
+00:12:35,720 --> 00:12:43,560
+two by two matrices over R فهذه الـ subgroup من
+
+116
+00:12:43,560 --> 00:12:50,910
+الـ general linear group of two by two matrices A
+
+117
+00:12:50,910 --> 00:12:59,170
+and G the coset
+
+118
+00:12:59,170 --> 00:13:13,930
+اللي هو الـ A H is the set of all two
+
+119
+00:13:13,930 --> 00:13:16,590
+by two matrices
+
+120
+00:13:23,780 --> 00:13:30,740
+with the same
+
+121
+00:13:30,740 --> 00:13:35,500
+determinant
+
+122
+00:13:35,500 --> 00:13:42,860
+as A for
+
+123
+00:13:42,860 --> 00:13:48,360
+example كمثال
+
+124
+00:13:48,360 --> 00:13:49,300
+على ذلك
+
+125
+00:13:52,640 --> 00:14:01,220
+المصفوفة اللي تلاتة صفر واحد اثنين لو ضربتها فيه
+
+126
+00:14:01,220 --> 00:14:16,280
+H is the set of all two by two matrices with
+
+127
+00:14:16,280 --> 00:14:18,060
+determinant
+
+128
+00:14:25,120 --> 00:14:30,420
+ستة طيب بدنا نسأل السؤال التالي ليش هذا الكلام 
+
+129
+00:14:30,420 --> 00:14:38,260
+صحيح طلع لي فيها كويس طلع لي فيها كويس حتى نحاول أن 
+
+130
+00:14:38,260 --> 00:14:44,740
+نصل إلى الإجابة لهذا السؤال الذي زعمناه أن ال
+
+131
+00:14:44,740 --> 00:14:50,980
+order لها يساوي ستة قلي بلا كده ال remark بتقول ما 
+
+132
+00:14:50,980 --> 00:14:55,170
+يأتيلو كانت الـ subgroup هي الـ special linear
+
+133
+00:14:55,170 --> 00:14:59,270
+group  ملي جروب اللي هو ال general linear group of
+
+134
+00:14:59,270 --> 00:15:04,470
+two by two matrices over R طبعا هذه كل المصوفات
+
+135
+00:15:04,470 --> 00:15:09,410
+اللي determinant لها لا يساوي zero هذه كل المصوفات
+
+136
+00:15:09,410 --> 00:15:13,670
+اللي determinant لها لا يساوي مين واحد صحيح بقول 
+
+137
+00:15:13,670 --> 00:15:19,330
+لأي matrix A في ال group اللي عندنا هذه the coset
+
+138
+00:15:19,330 --> 00:15:26,270
+of H أنا أخدت A من وين؟ من ال general ضربت في من؟
+
+139
+00:15:26,270 --> 00:15:29,730
+في H لل special linear group of two by two
+
+140
+00:15:29,730 --> 00:15:35,770
+matrices overall بقول الـAH هذه كل مصحوفة فيها
+
+141
+00:15:35,770 --> 00:15:41,030
+المحدد تبعها يسوى المحدد تبع المصحوفة ايه بالضبط
+
+142
+00:15:41,030 --> 00:15:48,750
+تماما، ليش؟ لإن هذه المصحوفة كل matrix فيها المحدد
+
+143
+00:15:48,750 --> 00:15:52,830
+دي لها بجداش يبقى لما تجيب ال determinant لأي
+
+144
+00:15:52,830 --> 00:15:57,640
+ألمصير ال determinant لإيه في ال determinantلأ
+
+145
+00:15:57,640 --> 00:16:01,560
+بيهيب واحد يبقى بيظلمين ال determinant ليه بيبقى
+
+146
+00:16:01,560 --> 00:16:05,660
+كل عنصر فيها بدي يكون ال determinant له ك
+
+147
+00:16:05,660 --> 00:16:11,580
+determinant لمين لإيه مثال على ذلك المصحوفة اللي
+
+148
+00:16:11,580 --> 00:16:15,840
+عندها دي element هذا موجود في ال general linear
+
+149
+00:16:15,840 --> 00:16:22,400
+group لإن المحدد تبعه بقداش بستة يعني لا يساوي
+
+150
+00:16:22,400 --> 00:16:26,520
+زينو معناته موجود في ال general يبقى the set of
+
+151
+00:16:26,520 --> 00:16:30,160
+all two by two matrices اللي هذا مضروبة فيه with
+
+152
+00:16:30,160 --> 00:16:34,380
+determinant ستة السبب لإنه بدي يكون ال determinant
+
+153
+00:16:34,830 --> 00:16:39,990
+لأ ال element هذا مضروب في أي element تاني وليكن
+
+154
+00:16:39,990 --> 00:16:43,770
+بيسوء ال determinant لهذه في ال determinant اللي
+
+155
+00:16:43,770 --> 00:16:46,450
+بيبقى ال determinant اللي بيبقى بواحد صحيح بيبقى
+
+156
+00:16:46,450 --> 00:16:50,550
+ال determinant لهذه بستة في واحد اللي بستة هذه
+
+157
+00:16:50,550 --> 00:16:57,330
+مجرد ملاحظة طيب نجي الآن لنظرية very important في
+
+158
+00:16:57,330 --> 00:17:04,130
+الجبر وهذه أساسية ولا كتاب جبر بيخلوا منها هذه
+
+159
+00:17:04,130 --> 00:17:07,910
+النظرية اسمها نظرية Lagrange Lagrange هو اللي
+
+160
+00:17:07,910 --> 00:17:13,010
+اكتشفها بالبلد هيك ال order لو كانت ال G finite
+
+161
+00:17:13,010 --> 00:17:19,400
+فال order لل sub group بيقسم ال order لل group وهذه
+
+162
+00:17:19,400 --> 00:17:23,560
+شرطها لكم من أول ما بدأت تقولوا دير بالك قدام
+
+163
+00:17:23,560 --> 00:17:26,960
+هناخد ان ال order لل element بده يقسم ال order لل
+
+164
+00:17:26,960 --> 00:17:30,960
+group و ال order لل sub group بده يقسم ال order لل
+
+165
+00:17:30,960 --> 00:17:36,980
+group كذلك فبدنا نيجي ل Lagrange theorem يبقى هنا
+
+166
+00:17:36,980 --> 00:17:42,060
+Lagrange theorem
+
+167
+00:17:44,840 --> 00:17:52,660
+النظرية هذه بتقول ما ياتي if ال H is
+
+168
+00:17:52,660 --> 00:18:07,120
+a subgroup of a finite group G then
+
+169
+00:18:07,120 --> 00:18:13,560
+ال order ل H divides
+
+170
+00:18:15,730 --> 00:18:25,210
+الـ order لـ G وزيادة على ذلك moreover و أكثر من
+
+171
+00:18:25,210 --> 00:18:35,810
+ذلك the number of this connect the number of
+
+172
+00:18:35,810 --> 00:18:43,010
+this connect the number of this connect left أو
+
+173
+00:18:43,010 --> 00:18:50,370
+right left أو right هدى والله هدى الاتنين are the
+
+174
+00:18:50,370 --> 00:19:03,570
+same left أو right cassettes of H in G is ال order
+
+175
+00:19:03,570 --> 00:19:11,110
+ل G على ال order ال main لل H بنبرهن
+
+176
+00:19:11,110 --> 00:19:13,510
+صحة هذا الكلام ال approve
+
+177
+00:19:29,970 --> 00:19:35,150
+خلّي بالك كدا الآن H sub group من مين؟ من finite
+
+178
+00:19:35,150 --> 00:19:44,050
+group G و ال H هي ال sub group من ل group G بدي
+
+179
+00:19:44,050 --> 00:19:49,370
+أثبت أن ال order ل G بيقسم ال order ال order ل H
+
+180
+00:19:49,370 --> 00:19:55,210
+بيقسم ال order ل G يعني عدد العناصر في H يقسم عدد
+
+181
+00:19:55,210 --> 00:20:01,370
+العناصر في من في G و زيادة على ذلك عدد ال left أو
+
+182
+00:20:01,370 --> 00:20:07,310
+right destined cosets في H and G بيسوي ال order لل
+
+183
+00:20:07,310 --> 00:20:13,330
+H على ال order لمين لل G هذا اللي عايزين نتبته في
+
+184
+00:20:13,330 --> 00:20:14,650
+العدد
+
+185
+00:20:19,350 --> 00:20:24,070
+الـ order اللى جى على ال order لل H بيعطينى عدد ال
+
+186
+00:20:24,070 --> 00:20:27,210
+left cosets وهنا كاتبين ال order اللى جى على ال
+
+187
+00:20:27,210 --> 00:20:31,810
+order اللى H تمام طب خلّينى نثبت النقطة الأولى
+
+188
+00:20:31,810 --> 00:20:37,710
+بيقول لي هنا عدد ال left .. destined left cosets أو
+
+189
+00:20:37,710 --> 00:20:41,970
+right cosets إذا أنا بدي اروح اجيب كل ال left
+
+190
+00:20:41,970 --> 00:20:47,250
+cosets اللى موجودات على اللى هو ال sub group من ال
+
+191
+00:20:47,250 --> 00:20:50,460
+group اللى عندنا لما أخدنا الأمثلة المرة اللى فاتت
+
+192
+00:20:50,460 --> 00:20:56,520
+لجينا انه أحيانا ال lift corsets بتساوي مظبوط يبقى
+
+193
+00:20:56,520 --> 00:21:00,220
+أنا بدي أجيب كل ال lift corsets اللى بيكون ولا
+
+194
+00:21:00,220 --> 00:21:05,300
+واحدة فيهم بتساوي ات تانية يبقى بدي أجي أقوله let
+
+195
+00:21:05,300 --> 00:21:15,620
+a1h a2h ونظل ماشيين the arh ب the
+
+196
+00:21:18,560 --> 00:21:24,940
+Left Destinate Cosets
+
+197
+00:21:24,940 --> 00:21:28,780
+of
+
+198
+00:21:28,780 --> 00:21:38,760
+H and G بدأ افترض أن هذا عبارة عن ايش؟ عبارة عن كل
+
+199
+00:21:38,760 --> 00:21:42,720
+Destinate Left Cosets اللي ولا واحدة بتساوي
+
+200
+00:21:42,720 --> 00:21:53,010
+التانية طيب، الآن بداجي أقول let ال A belongs to G
+
+201
+00:21:53,010 --> 00:22:06,300
+then ال A H is a left cassette صحيح ولا لأ يعني
+
+202
+00:22:06,300 --> 00:22:11,740
+معناته أن ال a h هساوي واحدة من هدول هتكون واحدة
+
+203
+00:22:11,740 --> 00:22:23,580
+منهم صح يبقى الآن ساعة ال a h هذه بدها ساوي a i h
+
+204
+00:22:23,580 --> 00:22:27,420
+تمام
+
+205
+00:22:27,420 --> 00:22:39,760
+طيب كويس but we know that احنا بنعرف أن ال a موجودة
+
+206
+00:22:39,760 --> 00:22:45,800
+في ال a h فموجودة في ال a h مظبوط
+
+207
+00:22:47,230 --> 00:22:51,190
+بارهنها المرة اللى فاتت مدام موجودة هنا وهذه
+
+208
+00:22:51,190 --> 00:22:55,490
+بتساوي هذه يبقى ال element وين موجود؟ في ال A I H
+
+209
+00:22:55,490 --> 00:23:05,750
+يبقى هذا بده يعطينا أن ال A belongs to A I H طب
+
+210
+00:23:05,750 --> 00:23:09,830
+أنا لما أخدت ال A في G أخدت عنصر عشوائي ولا عنصر
+
+211
+00:23:09,830 --> 00:23:16,430
+محددعشوائي مدام عشوائي ينطبق على أي عنصر موجود في
+
+212
+00:23:16,430 --> 00:23:23,210
+ال group G بفهم من هذا الكلام أن كل عنصر موجود في
+
+213
+00:23:23,210 --> 00:23:28,910
+جي حالة جي في واحدة من ال lift cassettes صح ولا لأ
+
+214
+00:23:28,910 --> 00:23:35,440
+سكت الشعب مرة تانية أنا اخدت a عشوائيا من g تمام
+
+215
+00:23:35,440 --> 00:23:40,820
+لجيت ال a هذا موجود في واحدة من هدول ايه موجود في
+
+216
+00:23:40,820 --> 00:23:48,340
+ال aiH مظبوط ممتاز جدا يبقى هذا يعني أن كل عنصر
+
+217
+00:23:48,340 --> 00:23:52,740
+بتاخده من G لازم تلاقيه في main في واحدة من ال
+
+218
+00:23:52,740 --> 00:23:58,120
+left distant cosets مظبوط يبقى this means that
+
+219
+00:23:58,120 --> 00:24:06,280
+this means that any element
+
+220
+00:24:09,860 --> 00:24:17,240
+in G belongs to
+
+221
+00:24:17,240 --> 00:24:24,440
+one coset of
+
+222
+00:24:24,440 --> 00:24:32,280
+A1H A2H و لغاية ARH
+
+223
+00:24:35,230 --> 00:24:42,990
+إذا كل عنصر باخده من جيه لما أخده من جيه بلاقيه في
+
+224
+00:24:42,990 --> 00:24:48,390
+واحدة من هدول طب السؤال هو هل هدول بيسووا بعضهم
+
+225
+00:24:48,390 --> 00:24:54,110
+يبقى ال intersection five ممتاز جدا و لو واحدة جال
+
+226
+00:24:54,110 --> 00:24:57,230
+بيسوى تاني نجال عليهم this and that يبقى ال
+
+227
+00:24:57,230 --> 00:25:01,990
+intersection تبعهم يسوى five إذا لا يمكن لعنصر
+
+228
+00:25:01,990 --> 00:25:09,190
+يكون confidentين منهم صح ولا لا يبقى هنا بقول هنا
+
+229
+00:25:09,190 --> 00:25:22,110
+but ولكن اللي هو ال aih لا يساوي ال ajh for اللي
+
+230
+00:25:22,110 --> 00:25:29,290
+هو ال I لا يساوي ال j لما هؤلاء ما يتساووش يبقى
+
+231
+00:25:29,290 --> 00:25:33,530
+هؤلاء ما يتساووش بعض إذا الـI والـJ لا يتساووش بعض
+
+232
+00:25:33,530 --> 00:25:40,090
+إذا كل element موجود بالضبط في واحدة من من هؤلاء
+
+233
+00:25:40,090 --> 00:25:45,350
+طيب إذا الـG مش هي عبارة عن ال union تبع هؤلاء
+
+234
+00:25:45,350 --> 00:25:47,170
+كلهم ولا لأ؟
+
+235
+00:25:56,620 --> 00:26:08,300
+لجروب G هي عبارة عن A1H اتحاد A2H اتحاد اتحاد ARH
+
+236
+00:26:08,300 --> 00:26:18,180
+كويس يعني هذا يعني أن ال order ل G ال order ل G
+
+237
+00:26:18,180 --> 00:26:26,120
+بدي سوى ال order ل A1H زائد ال order ل A2H
+
+238
+00:26:28,500 --> 00:26:39,220
+زائد زائد زائد ال order لل ARH طيب
+
+239
+00:26:39,220 --> 00:26:45,760
+سؤال أنا H فيها عشرة elements مثلا و جيت ضربت ال H
+
+240
+00:26:45,760 --> 00:26:51,380
+في أي عنصر من عناصر G بيطلع عندي عشرة elements ولا
+
+241
+00:26:51,380 --> 00:26:55,920
+أكتر ولا أقل عشرة بالضبط لما يكون عندي ال sub
+
+242
+00:26:55,920 --> 00:27:00,120
+group و اضربها في أي element من ال group بيضلوا
+
+243
+00:27:00,120 --> 00:27:04,460
+العشرة العددهم عشرة صحيح بيختلفوا لكن بيضلوا عشرة
+
+244
+00:27:04,460 --> 00:27:09,780
+من ناحية العدد معناته ال order لل a1h يساوي ال
+
+245
+00:27:09,780 --> 00:27:15,730
+order لل h و ال order ل A to H هو ال order ل H و ال
+
+246
+00:27:15,730 --> 00:27:22,130
+order ل A RH هو ال order ل H يعني هذا الكلام يعني
+
+247
+00:27:22,130 --> 00:27:28,770
+أن ال order ل G بده يساوي ال order ل H زائد ال
+
+248
+00:27:28,770 --> 00:27:36,690
+order ل H زائد زائد ال order ل H كم مرة هدول؟ R
+
+249
+00:27:37,380 --> 00:27:46,440
+لأن عددهم R يبقى هذا الكلام معناته R times يبقى R
+
+250
+00:27:46,440 --> 00:27:52,500
+من المرات يبقى أصبح الآن ال order اللي جيه بده 
+
+251
+00:27:52,500 --> 00:27:58,900
+يساوي الـ R في الـ order الـ H لأن عددهم R طب إيش 
+
+252
+00:27:58,900 --> 00:28:06,300
+تفسيرك لهذه أن الـ order للـ H بيقسم الـ order لـ G
+
+253
+00:28:06,300 --> 00:28:15,420
+هذا معناه أن الـ order لـ H divides الـ order لـ G
+
+254
+00:28:15,420 --> 00:28:23,410
+وبالتالي أنت هنا من نظرية Lagrange راح يقولي و أكثر من
+
+255
+00:28:23,410 --> 00:28:27,050
+ذلك the number of distinct left cosets أو right
+
+256
+00:28:27,050 --> 00:28:31,570
+cosets of H and G يساوي الـ order للـ G على الـ order
+
+257
+00:28:31,570 --> 00:28:41,810
+لمين؟ للـ H باجي بقوله هنا كم
+
+258
+00:28:41,810 --> 00:28:52,620
+واحدة left cosets عندنا هنا are يبقى هنا the number
+
+259
+00:28:52,620 --> 00:29:05,780
+of left أو حتى right cosets of H the number
+
+260
+00:29:05,780 --> 00:29:07,460
+of distinct
+
+261
+00:29:11,540 --> 00:29:19,860
+Left or Right Cosets of H in G is R طب الـ R قد
+
+262
+00:29:19,860 --> 00:29:28,080
+يساوي هنا مش هو الـ order لـ G على الـ order للـ H
+
+263
+00:29:28,080 --> 00:29:38,160
+يبقى الـ order لـ G على الـ order للـ H طب كويس شوفوا
+
+264
+00:29:38,160 --> 00:29:46,030
+شوفوا بعد هذا البرهان عندي تعريف متعلق بالنتيجة
+
+265
+00:29:46,030 --> 00:29:50,550
+اللي توصلنا إليها من نظرية لاجرانج التعريف هذا
+
+266
+00:29:50,550 --> 00:30:00,170
+بيقول ما يأتي the number of left the number of
+
+267
+00:30:00,170 --> 00:30:12,050
+distinct left أو right هذا أو هذا left distinct
+
+268
+00:30:12,050 --> 00:30:21,410
+right أو left cosets of H in G
+
+269
+00:30:21,410 --> 00:30:32,370
+of H in G is called هذا بنسميه الـ index is called the
+
+270
+00:30:32,370 --> 00:30:38,490
+index of
+
+271
+00:30:41,030 --> 00:30:47,870
+a subgroup a subgroup
+
+272
+00:30:47,870 --> 00:30:54,070
+H in G and
+
+273
+00:30:54,070 --> 00:31:05,130
+denoted by وبنعطيله الرمز التالي الـ G مقطعتين فوق
+
+274
+00:31:05,130 --> 00:31:09,090
+بعض و H بالشكل اللي عندنا هذا
+
+275
+00:31:14,520 --> 00:31:18,480
+طيب هذا بيقولي عدد الـ distinct left أو right
+
+276
+00:31:18,480 --> 00:31:23,880
+cosets of H and G بسميه الـ index تبع الـ subgroup H
+
+277
+00:31:23,880 --> 00:31:30,220
+في من في الـ group G طب قداش عددهم هدول؟ R يبقى
+
+278
+00:31:30,220 --> 00:31:35,400
+احنا عندنا ملاحظة بسيطة جدا من الـ grand theorem
+
+279
+00:31:35,400 --> 00:31:42,190
+قلنا الـ order لـ G بدي يساوي الـ R في الـ order لـ H صح
+
+280
+00:31:42,190 --> 00:31:48,330
+ولا لا؟ إذا بقدر أكتب نظرية Lagrange بطريقة أخرى
+
+281
+00:31:48,330 --> 00:31:53,110
+إن الـ order لـ G بده يساوي الـ R هو عدد الـ left
+
+282
+00:31:53,110 --> 00:31:59,050
+coset اللي أعطيته الرمز الـ index تبع الـ H in G في
+
+283
+00:31:59,050 --> 00:32:06,870
+الـ order لـ H يبقى بصيغة نتيجة نظرية لاجرانج بالصيغة
+
+284
+00:32:06,870 --> 00:32:11,050
+اللي عندنا اللي توصلنا لها هذه أن الـ order لـ G بده
+
+285
+00:32:11,050 --> 00:32:15,590
+يساوي R في الـ order لـ H يا بقول الـ order لـ G بده
+
+286
+00:32:15,590 --> 00:32:19,890
+يساوي الـ index تبع الـ subgroup H في الـ group G
+
+287
+00:32:19,890 --> 00:32:26,210
+مضروب في الـ order تبع من؟ تبع الـ H الشكل اللي عندنا
+
+288
+00:32:26,210 --> 00:32:34,150
+هذا تمام بدنا نبدأ نعطي أمثلة على ذلك أول مثال
+
+289
+00:32:34,150 --> 00:32:46,610
+example بقول let الـ G تساوي S4 and
+
+290
+00:32:48,180 --> 00:32:54,280
+الـ H هي الـ sub group generated by الـ permutation
+
+291
+00:32:54,280 --> 00:33:00,660
+واحد اثنين ثلاثة أربعة اثنين ثلاثة أربعة واحد
+
+292
+00:33:00,660 --> 00:33:03,720
+بالشكل اللي عندنا هنا find
+
+293
+00:33:26,290 --> 00:33:27,690
+S4 S4 S4 S4 S4 S4 S4 S4 S4 S4
+
+294
+00:33:38,910 --> 00:33:44,450
+سؤال مرة ثانية السؤال بيقول احنا عندنا G S4 اللي
+
+295
+00:33:44,450 --> 00:33:50,650
+فيها أربعة وعشرين عنصر أخذنا منها subgroup H مين
+
+296
+00:33:50,650 --> 00:33:54,650
+هي الـ subgroup هذا الـ subgroup اللي تتولد بال
+
+297
+00:33:54,650 --> 00:34:00,390
+permutation اللي عندنا قداش الـ index تبع الـ H in
+
+298
+00:34:00,390 --> 00:34:01,430
+S4
+
+299
+00:34:05,930 --> 00:34:09,950
+الاندكس يساوي الـ order للـ group على الـ order للـ
+
+300
+00:34:09,950 --> 00:34:13,690
+subgroup الـ order تبع الـ group نعرفه 24 لكن الـ
+
+301
+00:34:13,690 --> 00:34:18,460
+order تبع الـ subgroup مش عارفينه مش عارفها لكن لازم
+
+302
+00:34:18,460 --> 00:34:23,280
+تعرفه إذا بدي أبدأ أضرب هذه في نفسها مرة ما طلعش الـ
+
+303
+00:34:23,280 --> 00:34:27,780
+identity كمان مرة ما طلعش لغاية ما يطلع من الـ
+
+304
+00:34:27,780 --> 00:34:32,020
+identity وبالتالي بيكون الأس اللي عندي هو من الـ
+
+305
+00:34:32,020 --> 00:34:37,430
+order تبع الـ group هذه وجهة نظر قديمة هو إيش وجهة
+
+306
+00:34:37,430 --> 00:34:43,230
+النظر الجديدة أن أنت هذه أجيب للـ order تبعها بكل
+
+307
+00:34:43,230 --> 00:34:50,570
+بساطة بكل بساطة كده بقوله أنا هذا let alpha تساوي
+
+308
+00:34:50,570 --> 00:34:55,390
+الـ permutation واحد اثنين ثلاثة أربعة اثنين ثلاثة
+
+309
+00:34:55,390 --> 00:35:04,550
+أربعة واحد then الـ alpha تساوي بقدر أكتبها على الـ
+
+310
+00:35:04,550 --> 00:35:09,210
+cycle form أما الـ cycle واحدة أو product of two
+
+311
+00:35:09,210 --> 00:35:14,270
+cycles حسب اللي موجود عندي تمام إذا باجي بقوله بدي
+
+312
+00:35:14,270 --> 00:35:17,390
+أكتب على شكل cycle الواحد مين صوبته يا شباب
+
+313
+00:35:17,390 --> 00:35:25,230
+والاثنين والثلاثة والأربعة قفلت إذا بقدر أجيب الـ
+
+314
+00:35:25,230 --> 00:35:31,250
+order لـ alpha ولا؟ يبقى هذا بيعطينا أن الـ order لـ
+
+315
+00:35:31,250 --> 00:35:35,990
+alpha بده يساوي طول الـ cycle اللي عندنا هو قداش
+
+316
+00:35:35,990 --> 00:35:41,530
+أربعة يبقى الـ order لـ alpha بده يساوي أربعة طيب
+
+317
+00:35:41,530 --> 00:35:46,040
+لما يكون عندنا الـ cycle كـ group شو العلاقة بين
+
+318
+00:35:46,040 --> 00:35:50,740
+order للـ group و order للـ generator؟ اثنين نفس
+
+319
+00:35:50,740 --> 00:35:56,040
+الشيء يعني معنى هذا الكلام أن الـ order للـ H يساوي
+
+320
+00:35:56,040 --> 00:36:01,220
+الـ order لـ alpha وهذا بدي يعطيني من؟ بدي يعطيني
+
+321
+00:36:01,220 --> 00:36:07,280
+اللي هو النتيجة اللي هو أربعة هذا سيعطيني أن الـ
+
+322
+00:36:07,280 --> 00:36:16,060
+order لـ H هو order لـ alpha أربعة ليش؟ لأن H هي
+
+323
+00:36:16,060 --> 00:36:20,720
+الـ cyclic subgroup generated by الـ permutation
+
+324
+00:36:20,720 --> 00:36:24,100
+alpha اللي عندنا يبقى إثار الـ order لـ alpha هو
+
+325
+00:36:24,100 --> 00:36:29,790
+order لـ H ما دام هيك بقى صارت قصتنا بسيطة قال لي
+
+326
+00:36:29,790 --> 00:36:36,210
+هاتلي الـ index بقوله الآن الـ index لـ الـ subgroup H
+
+327
+00:36:36,210 --> 00:36:43,450
+في الـ group S4 يساوي الـ order للـ S4 على الـ order
+
+328
+00:36:43,450 --> 00:36:49,530
+للـ H الـ order للـ S4 اللي هو أربعة factorial وهذه
+
+329
+00:36:49,530 --> 00:36:58,980
+أربعة يبقى هذه بنقول أربعة في ثلاثة factorial على
+
+330
+00:36:58,980 --> 00:37:04,460
+أربعة يبقى ثلاثة factorial ثلاثة factorial يساوي
+
+331
+00:37:04,460 --> 00:37:09,860
+كده؟ يساوي ستة إذاً الـ index تبع الـ subgroup اللي
+
+332
+00:37:09,860 --> 00:37:15,920
+عندنا هذه في الـ group G الأصلية هو عبارة عن ستة،
+
+333
+00:37:15,920 --> 00:37:21,520
+إيش يعني ستة؟ يعني أنا ضمنت عدد الـ left distinct
+
+334
+00:37:21,520 --> 00:37:28,080
+cosets للـ S4 لما نضربهم في الـ .. لما ينضربوا في الـ
+
+335
+00:37:28,080 --> 00:37:31,140
+permutation اللي في الـ .. في الـ H اللي عند الـ
+
+336
+00:37:31,140 --> 00:37:36,870
+subgroup بيطلع عندي بس ستة left distinct cosets يعني
+
+337
+00:37:36,870 --> 00:37:42,830
+معناه كل أربعة هيتساووا عشان يطلع عندي ستة صح ولا
+
+338
+00:37:42,830 --> 00:37:47,950
+لا يعني كل أربعة left cosets هيطلعوا نفس الشيء
+
+339
+00:37:47,950 --> 00:37:52,530
+وبالتالي ضمنت عدد الـ left cosets يساوي ستة كان
+
+340
+00:37:52,530 --> 00:37:56,810
+بيمكني أصيغ نفس السؤال و بدل ما أقول هاتلي الـ index
+
+341
+00:37:56,810 --> 00:38:02,950
+أقول find the number of left cosets of H in S4
+
+342
+00:38:02,950 --> 00:38:07,970
+وأسكت مش هو نفس السؤال نفس السؤال حرفية لكن قعدت
+
+343
+00:38:07,970 --> 00:38:20,270
+أصيغه بطريقة أخرى نعطي مثال آخر كمان example الـ
+
+344
+00:38:20,270 --> 00:38:26,370
+example يا شباب هذا سؤال 14 من الكتاب بقول suppose
+
+345
+00:38:26,370 --> 00:38:27,030
+that
+
+346
+00:38:30,100 --> 00:38:40,900
+suppose that افترض أن الـ K is a proper subgroup
+
+347
+00:38:40,900 --> 00:38:44,540
+of
+
+348
+00:38:44,540 --> 00:38:48,720
+H and
+
+349
+00:38:48,720 --> 00:38:56,380
+الـ H is a proper subgroup
+
+350
+00:38:59,010 --> 00:39:04,150
+of G if
+
+351
+00:39:04,150 --> 00:39:18,050
+الـ order للـ K هو اثنين وأربعين and الـ order للـ G
+
+352
+00:39:18,050 --> 00:39:23,150
+هو أربع مئة وعشرين what
+
+353
+00:39:24,410 --> 00:39:35,730
+are the possible orders of
+
+354
+00:39:35,730 --> 00:39:37,190
+H
+
+355
+00:40:06,270 --> 00:40:10,790
+مرة ثانية أنا عندي K proper subgroup من H إيش يعني
+
+356
+00:40:10,790 --> 00:40:15,890
+proper subgroup؟ لا تساوي H subset منها لكن لا
+
+357
+00:40:15,890 --> 00:40:21,350
+تساويها وعندي في نفس الوقت الـ H proper subgroup من
+
+358
+00:40:21,350 --> 00:40:26,850
+G يعني K subgroup من H و الـ H subgroup من G وكل
+
+359
+00:40:26,850 --> 00:40:31,110
+واحدة فيهم عبارة عن الـ proper يعني لا تساوي الجروب
+
+360
+00:40:31,110 --> 00:40:35,940
+الثاني قال لو كان الـ order لـ K الأولى هو اثنين
+
+361
+00:40:35,940 --> 00:40:40,500
+وأربعين والـ order للـ أخرى أربع مئة وعشرين ما هي
+
+362
+00:40:40,500 --> 00:40:47,100
+الاحتمالات الممكنة للـ order تبع الـ H فنقوله ماشي
+
+363
+00:40:47,100 --> 00:40:49,160
+يبقى هنا solution
+
+364
+00:40:54,430 --> 00:41:02,450
+الآن نحن لدينا K subgroup يبقى K subgroup من H هذا
+
+365
+00:41:02,450 --> 00:41:12,730
+معناته أن الـ order للـ K بيقسم الـ order للـ H مظبوط؟
+
+366
+00:41:12,730 --> 00:41:19,150
+طب الـ order للـ H كده أنا مش عارف يبقى هنا كده
+
+367
+00:41:21,550 --> 00:41:27,510
+K subgroup من H هي K proper subgroup من H K
+
+368
+00:41:27,510 --> 00:41:31,830
+subgroup من H يبقى الـ order لـ K بده يقسم الـ order
+
+369
+00:41:31,830 --> 00:41:38,370
+لـ H يبقى بداجي أقوله هنا assume افترض أن الـ order
+
+370
+00:41:38,370 --> 00:41:47,080
+لـ H بده يساوي الـ M مثلا يبقى بناء عليه الـ order لـ
+
+371
+00:41:47,080 --> 00:41:55,440
+K معطيني إياه قداش؟ 42 تقسم من الـ M يعني معناته
+
+372
+00:41:55,440 --> 00:42:06,600
+هذا الـ M تساوي مضاعفات 42 يساوي هذا S مثلا في فيل
+
+373
+00:42:06,600 --> 00:42:13,080
+42 و هنا for some
+
+374
+00:42:25,520 --> 00:42:31,280
+يبقى كتابة الـ M مجهولة على شكل رقم مضروب قداش
+
+375
+00:42:31,280 --> 00:42:40,090
+اثنين أو أربعين الآن أنا عندي كذلك الـ order لـ الـ H
+
+376
+00:42:40,090 --> 00:42:46,930
+أو الـ H هذه الـ sub group من G sub group من G هذا
+
+377
+00:42:46,930 --> 00:42:53,390
+معناته أن الـ order لـ H يَقْسِم الـ order لـ G طبقا
+
+378
+00:42:53,390 --> 00:43:00,760
+لنظرية Lagrange مدام هيك هذا معناه أن الـ order للـ
+
+379
+00:43:00,760 --> 00:43:09,980
+G هنا بدي أساوي الـ R في الـ order لـ H مثلا يبقى هذا
+
+380
+00:43:09,980 --> 00:43:15,340
+معناه أن الـ order اللي جاي ليه أربعمية وعشرون
+
+381
+00:43:15,340 --> 00:43:22,540
+تساوي R في مين؟ في الـ M لأن أنا فرضت الـ order لـ H
+
+382
+00:43:22,540 --> 00:43:27,440
+يساوي M كده؟ يساوي M أطلَعْ لي في المعادلة اللي
+
+383
+00:43:27,440 --> 00:43:33,640
+عندنا هذه وأطلَعْ لي في المعادلة اللي عندنا هذه إذا
+
+384
+00:43:33,640 --> 00:43:40,320
+أنا بقدر أَخْلِق من المعادلتين معادلة ما هي هذه
+
+385
+00:43:40,320 --> 00:43:48,720
+المعادلة؟ اللي هي أربعمية وعشرون بدها تساوي R S في
+
+386
+00:43:48,720 --> 00:43:54,940
+من؟ في اثنين وأربعين يعني شِيلتُ الـ M اللي عندنا هذه
+
+387
+00:43:54,940 --> 00:44:00,240
+وراحَت شِيلتُ الـ M اللي عندنا هذه وكتبت بدلها S في 
+
+388
+00:44:00,240 --> 00:44:07,430
+اثنين وأربعين تمام طيب في قسمة ما بين الطرفين اه
+
+389
+00:44:07,430 --> 00:44:12,430
+يبقى لو قَسَمْتُ كله على اثنين وأربعين هذا بدي يعطيني
+
+390
+00:44:12,430 --> 00:44:20,590
+R S تساوي عشرة مدام عشرة احتمال الـ R بواحد والـ S
+
+391
+00:44:20,590 --> 00:44:31,920
+بعشرة احتمال أن S بواحد وR بعشرة احتمال R بخمسة وS
+
+392
+00:44:31,920 --> 00:44:36,280
+باتنين احتمال R باتنين وS بخمسة هي الاحتمالات
+
+393
+00:44:36,280 --> 00:44:48,040
+الأربعة في غيرهم؟ لا يبقى هنا so we have four
+
+394
+00:44:48,040 --> 00:44:50,280
+possibilities four
+
+395
+00:44:57,390 --> 00:45:05,110
+أربعة احتمالات الاحتمال الأول أن الـ R تساوي واحد
+
+396
+00:45:05,110 --> 00:45:12,510
+والـ S تساوي عشرة هل هذا الكلام ممكن؟ والله مش ممكن
+
+397
+00:45:12,510 --> 00:45:20,310
+الحين لو الـ S وعشرة يبقى الـ M كده؟ 420 ممكن هذا
+
+398
+00:45:20,310 --> 00:45:27,730
+الكلام؟ يتناقض مع كلمة proper تمام يبقى هذا this
+
+399
+00:45:27,730 --> 00:45:31,310
+is impossible
+
+400
+00:45:33,850 --> 00:45:43,190
+هذا غير ممكن السبب because أن الـ H is proper
+
+401
+00:45:43,190 --> 00:45:49,210
+subgroup من G لأن على الجهة ده مش ممكن ممكن العكس
+
+402
+00:45:49,210 --> 00:45:57,130
+نقطة ثانية أن الـ R تساوي عشرة والـ S تساوي واحد
+
+403
+00:45:58,440 --> 00:46:04,560
+تمام؟ طب بدنا نأتي إلى الـ S تساوي واحد لو الـ S صارَت
+
+404
+00:46:04,560 --> 00:46:12,060
+واحد يبقى الـ M قداش؟ يعني قد مين؟ قد K الـ H صارت
+
+405
+00:46:12,060 --> 00:46:16,760
+قد K مظبوط وهذا كلام غلط لأن احنا نقولين K proper
+
+406
+00:46:16,760 --> 00:46:24,020
+يبقى برضه هذا this is impossible because capital K
+
+407
+00:46:24,020 --> 00:46:25,680
+is proper
+
+408
+00:46:28,120 --> 00:46:33,920
+يبقى هذا لا يمكن يحصل بالمرة طب نجي النقطة الثالثة
+
+409
+00:46:33,920 --> 00:46:40,460
+النقطة الثالثة ممكن الـ R يساوي اثنين والـ S يساوي
+
+410
+00:46:40,460 --> 00:46:48,020
+خمسة طيب لو حطيت الـ S هنا بخمسة بصير هدول كده؟ 210
+
+411
+00:46:48,020 --> 00:46:55,520
+ممكن؟ اه ممكن ما فيش مشكلة يبقى هنا الـ R سواء S
+
+412
+00:46:55,520 --> 00:47:03,540
+then الـ M بدها تساوي الـ S لخمسة في اثنين وأربعين
+
+413
+00:47:03,540 --> 00:47:08,540
+واللي هو بدو يساوي متين وعشرة خمسة في اثنين بعشرة
+
+414
+00:47:08,540 --> 00:47:13,880
+وخمسة في أربع باشرين واحد واحدة وعشرين تمام هذا لو
+
+415
+00:47:13,880 --> 00:47:21,260
+كانت الـ S بخمسة والـ R باثنين الاحتمال الرابع أن الـ
+
+416
+00:47:21,260 --> 00:47:30,930
+R تساوي خمسة والـ S تساوي اثنين الـ M يساوي الـ M
+
+417
+00:47:30,930 --> 00:47:37,050
+يساوي S في اثنين وأربعين الـ S عندي باثنين في اثنين
+
+418
+00:47:37,050 --> 00:47:42,830
+وأربعين ويساوي قداش؟ أربعة وثمانين ممكن ولا مش
+
+419
+00:47:42,830 --> 00:47:49,570
+ممكن برضه ممكن يبقى باجي هنا بقوله the possible
+
+420
+00:47:49,570 --> 00:47:52,290
+orders
+
+421
+00:47:54,230 --> 00:48:06,190
+of H are أربعة وثمانين or متين وعشرة يبقى كله
+
+422
+00:48:06,190 --> 00:48:11,170
+اعتمدنا فيه على مين؟ على Lagrange theorem الآن
+
+423
+00:48:11,170 --> 00:48:16,170
+وصلنا لنتائج على نظرية Lagrange حصلنا حوالي أربع
+
+424
+00:48:16,170 --> 00:48:21,830
+نتائج وبكلهم بيفيدونا كتير في حل المسائل المرة
+
+425
+00:48:21,830 --> 00:48:23,330
+القادمة إن شاء الله
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/TxbkO72dNBs_raw.json b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/TxbkO72dNBs_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..14cc208148a59edecb766c0ed3f207478e2c09b2
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/TxbkO72dNBs_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 4549, "start": 22.35, "end": 45.49, "text": "بنكمل برهانة اللمة اللى ابتدأنا فيه المحاضرة الماضية طبعا اللمة هذه عبارة عن ثمانى نقاط برهانة منها اللى هو خمس نقاط بنجي الأن لنقطة السادسة النقطة رقم ستة بيقوللي ان ال order لل A H يساوي ال order لل B H", "tokens": [3555, 1863, 24793, 1211, 4724, 2288, 3224, 7649, 3660, 13672, 46007, 13672, 7578, 48127, 2655, 3215, 10721, 8315, 8978, 3224, 9673, 5016, 46958, 25720, 9673, 46958, 10632, 23032, 3555, 3615, 995, 13672, 46007, 29538, 6225, 3555, 9640, 3660, 18871, 38637, 2304, 7649, 7578, 8717, 4587, 41193, 4724, 2288, 3224, 7649, 3660, 9154, 11296, 13672, 7578, 31439, 16490, 2304, 3794, 8717, 4587, 41193, 44945, 7435, 1829, 16247, 1863, 5296, 1863, 47432, 3660, 21136, 18513, 3794, 3660, 28239, 47432, 3660, 12602, 4587, 2304, 8608, 2655, 3660, 4724, 1829, 39648, 20292, 16472, 2423, 1668, 24976, 316, 389, 7251, 3794, 995, 45865, 2423, 1668, 24976, 363, 389], "avg_logprob": -0.17758413275273946, 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في", "probability": 0.70947265625}, {"start": 350.25, "end": 351.03, "word": " اتجاهين", "probability": 0.90439453125}, {"start": 351.03, "end": 351.29, "word": " لكن", "probability": 0.55419921875}, {"start": 351.29, "end": 351.77, "word": " ممكن", "probability": 0.68212890625}, {"start": 351.77, "end": 352.21, "word": " نجيب", "probability": 0.7662353515625}, {"start": 352.21, "end": 353.05, "word": " الاتجاهين", "probability": 0.9416015625}, {"start": 353.05, "end": 353.21, "word": " مع", "probability": 0.94384765625}, {"start": 353.21, "end": 353.59, "word": " بعض", "probability": 0.992431640625}, {"start": 353.59, "end": 354.49, "word": " مرتين", "probability": 0.6944986979166666}, {"start": 354.49, "end": 355.35, "word": " واحدة", "probability": 0.9484049479166666}, {"start": 355.35, "end": 356.35, "word": " الان", "probability": 0.676025390625}, {"start": 356.35, "end": 356.57, "word": " اذا", "probability": 0.5133056640625}, {"start": 356.57, "end": 356.71, "word": " كنت", 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"end": 451.93, "text": "يبقى h في الـ identity element تبع الـ group اللي هو g هذا f and only f a h a inverse بده يساوي من itself لأن ال identity element او ضربه في اي element بطلع نفس ال element اللي هو هو المطلوب", "tokens": [1829, 3555, 4587, 7578, 276, 8978, 2423, 39184, 6575, 4478, 6055, 3555, 3615, 2423, 39184, 1594, 13672, 1829, 31439, 290, 23758, 283, 293, 787, 283, 257, 276, 257, 17340, 47525, 3224, 7251, 3794, 995, 45865, 9154, 2564, 5296, 33456, 2423, 6575, 4478, 1975, 2407, 48812, 25513, 3224, 8978, 1975, 1829, 4478, 4724, 9566, 1211, 3615, 8717, 36178, 2423, 4478, 13672, 1829, 31439, 31439, 9673, 9566, 1211, 37746], "avg_logprob": -0.40670954611371546, "compression_ratio": 1.5470588235294118, "no_speech_prob": 0.0, "words": [{"start": 429.09000000000003, "end": 429.93, "word": "يبقى", "probability": 0.61065673828125}, {"start": 429.93, "end": 430.05, "word": " h", "probability": 0.11566162109375}, {"start": 430.05, "end": 430.65, "word": " في", "probability": 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435.45, "end": 438.21, "word": " only", "probability": 0.796875}, {"start": 438.21, "end": 438.73, "word": " f", "probability": 0.71044921875}, {"start": 438.73, "end": 439.67, "word": " a", "probability": 0.3212890625}, {"start": 439.67, "end": 440.27, "word": " h", "probability": 0.83935546875}, {"start": 440.27, "end": 440.91, "word": " a", "probability": 0.66064453125}, {"start": 440.91, "end": 441.73, "word": " inverse", "probability": 0.8583984375}, {"start": 441.73, "end": 442.57, "word": " بده", "probability": 0.248046875}, {"start": 442.57, "end": 443.09, "word": " يساوي", "probability": 0.880615234375}, {"start": 443.09, "end": 443.45, "word": " من", "probability": 0.734375}, {"start": 443.45, "end": 444.09, "word": " itself", "probability": 0.51708984375}, {"start": 444.09, "end": 445.09, "word": " لأن", "probability": 0.71630859375}, {"start": 445.09, "end": 445.23, "word": " ال", "probability": 0.85498046875}, {"start": 445.23, "end": 445.75, "word": " identity", 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0.9921875}, {"start": 450.11, "end": 450.51, "word": " هو", "probability": 0.45703125}, {"start": 450.51, "end": 451.93, "word": " المطلوب", "probability": 0.9573974609375}], "temperature": 1.0}, {"id": 21, "seek": 47536, "start": 452.7, "end": 475.36, "text": "النقطة الأخيرة اللي هي النقطة الثامنة بتقول .. بتقول ان ال A H is a subgroup من G if and only if ال A belongs to main if and only if ال A belongs لمين ل ال H طيب تمام", "tokens": [6027, 1863, 47432, 3660, 16247, 9778, 48923, 13672, 1829, 39896, 28239, 47432, 3660, 6024, 104, 10943, 1863, 3660, 39894, 39648, 4386, 39894, 39648, 16472, 2423, 316, 389, 307, 257, 1422, 17377, 9154, 460, 498, 293, 787, 498, 2423, 316, 12953, 281, 2135, 498, 293, 787, 498, 2423, 316, 12953, 5296, 2304, 9957, 5296, 2423, 389, 23032, 1829, 3555, 46811, 10943], "avg_logprob": -0.25960552887838395, "compression_ratio": 1.5263157894736843, "no_speech_prob": 0.0, "words": [{"start": 452.7, "end": 453.36, "word": "النقطة", "probability": 0.947998046875}, {"start": 453.36, "end": 453.94, "word": " الأخيرة", "probability": 0.94580078125}, {"start": 453.94, "end": 454.7, "word": " اللي", "probability": 0.620361328125}, {"start": 454.7, "end": 454.84, "word": " هي", "probability": 0.9345703125}, {"start": 454.84, "end": 455.6, "word": " النقطة", "probability": 0.8982747395833334}, {"start": 455.6, "end": 456.94, "word": " الثامنة", "probability": 0.846875}, {"start": 456.94, "end": 457.96, "word": " بتقول", "probability": 0.968505859375}, {"start": 457.96, "end": 458.24, "word": " ..", "probability": 0.10626220703125}, {"start": 458.24, "end": 459.12, "word": " بتقول", "probability": 0.98193359375}, {"start": 459.12, "end": 459.82, "word": " ان", "probability": 0.578125}, {"start": 459.82, "end": 460.16, "word": " ال", "probability": 0.96484375}, {"start": 460.16, "end": 460.52, "word": " A", "probability": 0.306640625}, {"start": 460.52, "end": 461.08, "word": " H", "probability": 0.71044921875}, {"start": 461.08, "end": 461.54, "word": " is", "probability": 0.8447265625}, {"start": 461.54, "end": 461.9, "word": " a", "probability": 0.96923828125}, {"start": 461.9, "end": 462.96, "word": " subgroup", "probability": 0.819580078125}, {"start": 462.96, "end": 463.44, "word": " من", "probability": 0.79296875}, {"start": 463.44, "end": 463.98, "word": " G", "probability": 0.83544921875}, {"start": 463.98, "end": 464.9, "word": " if", "probability": 0.9150390625}, {"start": 464.9, "end": 465.3, "word": " and", "probability": 0.96337890625}, {"start": 465.3, "end": 465.78, "word": " only", "probability": 0.92333984375}, {"start": 465.78, "end": 466.48, "word": " if", "probability": 0.96923828125}, {"start": 466.48, "end": 467.26, "word": " ال", "probability": 0.87060546875}, {"start": 467.26, "end": 467.72, "word": " A", "probability": 0.93017578125}, {"start": 467.72, "end": 468.38, "word": " belongs", "probability": 0.69921875}, {"start": 468.38, "end": 468.68, "word": " to", "probability": 0.91357421875}, {"start": 468.68, "end": 469.04, "word": " main", "probability": 0.71923828125}, {"start": 469.04, "end": 469.42, "word": " if", "probability": 0.56689453125}, {"start": 469.42, "end": 469.7, "word": " and", "probability": 0.96484375}, {"start": 469.7, "end": 469.98, "word": " only", "probability": 0.90283203125}, {"start": 469.98, "end": 470.32, "word": " if", "probability": 0.9755859375}, {"start": 470.32, "end": 470.54, "word": " ال", "probability": 0.92578125}, {"start": 470.54, "end": 470.94, "word": " A", "probability": 0.97509765625}, {"start": 470.94, "end": 471.98, "word": " belongs", "probability": 0.6689453125}, {"start": 471.98, "end": 472.78, "word": " لمين", "probability": 0.62060546875}, {"start": 472.78, "end": 473.26, "word": " ل", "probability": 0.397216796875}, {"start": 473.26, "end": 473.84, "word": " ال", "probability": 0.62939453125}, {"start": 473.84, "end": 474.2, "word": " H", "probability": 0.98974609375}, {"start": 474.2, "end": 474.94, "word": " طيب", "probability": 0.700439453125}, {"start": 474.94, "end": 475.36, "word": " تمام", "probability": 0.960205078125}], "temperature": 1.0}, {"id": 22, "seek": 49508, "start": 479.78, "end": 495.08, "text": "المرة السابقة قلنا ان الـ left cosets قد تكون subgroup و قد لا تكون subgroup تمام؟ لكن in general ماهياش subgroup هنا بحطلي ال chart ايش اللي يخلي ال left coset subgroup", "tokens": [45340, 25720, 21136, 16758, 28671, 12174, 1211, 8315, 16472, 2423, 39184, 1411, 3792, 1385, 12174, 3215, 6055, 30544, 1422, 17377, 4032, 12174, 3215, 20193, 6055, 30544, 1422, 17377, 46811, 10943, 22807, 44381, 294, 2674, 19446, 3224, 1829, 33599, 1422, 17377, 34105, 4724, 5016, 9566, 20292, 2423, 6927, 1975, 1829, 8592, 13672, 1829, 7251, 9778, 20292, 2423, 1411, 3792, 302, 1422, 17377], "avg_logprob": -0.3704637005444496, "compression_ratio": 1.5816993464052287, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 479.78, "end": 480.7, "word": "المرة", "probability": 0.38238525390625}, {"start": 480.7, "end": 481.1, "word": " السابقة", "probability": 0.67529296875}, {"start": 481.1, "end": 481.64, "word": " قلنا", "probability": 0.5390625}, {"start": 481.64, "end": 481.74, "word": " ان", "probability": 0.36474609375}, {"start": 481.74, "end": 481.86, "word": " الـ", "probability": 0.41259765625}, {"start": 481.86, "end": 482.02, "word": " left", "probability": 0.496826171875}, {"start": 482.02, "end": 482.82, "word": " cosets", "probability": 0.50054931640625}, {"start": 482.82, "end": 483.28, "word": " قد", "probability": 0.9404296875}, {"start": 483.28, "end": 483.74, "word": " تكون", "probability": 0.968505859375}, {"start": 483.74, "end": 484.52, "word": " subgroup", "probability": 0.823974609375}, {"start": 484.52, "end": 484.76, "word": " و", "probability": 0.9384765625}, {"start": 484.76, "end": 485.08, "word": " قد", "probability": 0.793701171875}, {"start": 485.08, "end": 485.3, "word": " لا", "probability": 0.80322265625}, {"start": 485.3, "end": 485.76, "word": " تكون", "probability": 0.97802734375}, {"start": 485.76, "end": 486.48, "word": " subgroup", "probability": 0.906005859375}, {"start": 486.48, "end": 487.5, "word": " تمام؟", "probability": 0.6057942708333334}, {"start": 487.5, "end": 487.86, "word": " لكن", "probability": 0.9326171875}, {"start": 487.86, "end": 488.1, "word": " in", "probability": 0.205322265625}, {"start": 488.1, "end": 488.62, "word": " general", "probability": 0.9228515625}, {"start": 488.62, "end": 489.42, "word": " ماهياش", "probability": 0.9111328125}, {"start": 489.42, "end": 490.12, "word": " subgroup", "probability": 0.96484375}, {"start": 490.12, "end": 490.74, "word": " هنا", "probability": 0.83056640625}, {"start": 490.74, "end": 491.42, "word": " بحطلي", "probability": 0.67864990234375}, {"start": 491.42, "end": 491.6, "word": " ال", "probability": 0.42822265625}, {"start": 491.6, "end": 491.98, "word": " chart", "probability": 0.7822265625}, {"start": 491.98, "end": 492.76, "word": " ايش", "probability": 0.7841796875}, {"start": 492.76, "end": 492.94, "word": " اللي", "probability": 0.930908203125}, {"start": 492.94, "end": 493.32, "word": " يخلي", "probability": 0.7425130208333334}, {"start": 493.32, "end": 493.46, "word": " ال", "probability": 0.8642578125}, {"start": 493.46, "end": 493.68, "word": " left", "probability": 0.8427734375}, {"start": 493.68, "end": 494.28, "word": " coset", "probability": 0.902099609375}, {"start": 494.28, "end": 495.08, "word": " subgroup", "probability": 0.95654296875}], "temperature": 1.0}, {"id": 23, "seek": 52479, "start": 495.4, "end": 524.8, "text": "هو ان ضربها في عنصر من عناصر من من عناصر H itself يبقى ال A H عبارة عن subgroup من G إذا كان ال A اللي ضربته هذي من H نفسها وليس وليس من خارجها يبقى الآن بدأجي أقوله assume that افترض ان ال A H is a subgroup من G", "tokens": [3224, 2407, 16472, 48812, 25513, 11296, 8978, 18871, 9381, 2288, 9154, 18871, 33546, 2288, 9154, 9154, 18871, 33546, 2288, 389, 2564, 7251, 3555, 4587, 7578, 2423, 316, 389, 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{"start": 505.38, "end": 505.88, "word": " subgroup", "probability": 0.723876953125}, {"start": 505.88, "end": 506.34, "word": " من", "probability": 0.9765625}, {"start": 506.34, "end": 506.48, "word": " G", "probability": 0.86083984375}, {"start": 506.48, "end": 506.98, "word": " إذا", "probability": 0.821044921875}, {"start": 506.98, "end": 507.42, "word": " كان", "probability": 0.9755859375}, {"start": 507.42, "end": 507.78, "word": " ال", "probability": 0.9111328125}, {"start": 507.78, "end": 508.0, "word": " A", "probability": 0.9287109375}, {"start": 508.0, "end": 508.22, "word": " اللي", "probability": 0.889404296875}, {"start": 508.22, "end": 508.78, "word": " ضربته", "probability": 0.9443359375}, {"start": 508.78, "end": 509.14, "word": " هذي", "probability": 0.5663248697916666}, {"start": 509.14, "end": 509.36, "word": " من", "probability": 0.97802734375}, {"start": 509.36, "end": 509.9, "word": " H", "probability": 0.9541015625}, {"start": 509.9, "end": 510.94, "word": " 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"word": " برهنها", "probability": 0.717626953125}, {"start": 640.02, "end": 640.42, "word": " برضه", "probability": 0.8011881510416666}, {"start": 640.42, "end": 640.84, "word": " المرة", "probability": 0.962890625}, {"start": 640.84, "end": 641.4, "word": " الماضية", "probability": 0.9680989583333334}, {"start": 641.4, "end": 641.9, "word": " ما", "probability": 0.60888671875}, {"start": 641.9, "end": 642.18, "word": " بعرف", "probability": 0.832275390625}, {"start": 642.18, "end": 642.74, "word": " اتنين", "probability": 0.9346923828125}, {"start": 642.74, "end": 643.8, "word": " او", "probability": 0.86669921875}, {"start": 643.8, "end": 644.38, "word": " تلاتة", "probability": 0.947265625}, {"start": 644.38, "end": 644.96, "word": " بالكتير", "probability": 0.9810791015625}, {"start": 644.96, "end": 646.2, "word": " مادام", "probability": 0.6366373697916666}, {"start": 646.2, "end": 646.36, "word": " ال", "probability": 0.9833984375}, {"start": 646.36, "end": 646.44, "word": " A", "probability": 0.9296875}, {"start": 646.44, "end": 646.72, "word": " H", "probability": 0.279296875}, {"start": 646.72, "end": 647.2, "word": " يساوي", "probability": 0.8670654296875}, {"start": 647.2, "end": 647.5, "word": " H", "probability": 0.900390625}, {"start": 647.5, "end": 647.82, "word": " هذا", "probability": 0.77099609375}, {"start": 647.82, "end": 648.44, "word": " معناه", "probability": 0.9744466145833334}, {"start": 648.44, "end": 648.76, "word": " ان", "probability": 0.49072265625}, {"start": 648.76, "end": 649.14, "word": " ال", "probability": 0.96337890625}, {"start": 649.14, "end": 649.58, "word": " A", "probability": 0.9765625}, {"start": 649.58, "end": 650.36, "word": " belongs", "probability": 0.445556640625}, {"start": 650.36, "end": 650.68, "word": " to", "probability": 0.97607421875}, {"start": 650.68, "end": 651.0, "word": " H", "probability": 0.986328125}, {"start": 651.0, "end": 651.62, "word": " اللي", "probability": 0.9287109375}, {"start": 651.62, "end": 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"end": 696.6, "word": " to", "probability": 0.97509765625}, {"start": 696.6, "end": 696.94, "word": " h", "probability": 0.92724609375}, {"start": 696.94, "end": 697.58, "word": " طب", "probability": 0.85400390625}, {"start": 697.58, "end": 697.8, "word": " احنا", "probability": 0.9490559895833334}, {"start": 697.8, "end": 698.26, "word": " فرضين", "probability": 0.9820963541666666}, {"start": 698.26, "end": 698.42, "word": " ال", "probability": 0.89501953125}, {"start": 698.42, "end": 698.58, "word": " a", "probability": 0.986328125}, {"start": 698.58, "end": 698.9, "word": " belongs", "probability": 0.51025390625}, {"start": 698.9, "end": 699.06, "word": " to", "probability": 0.97216796875}, {"start": 699.06, "end": 699.24, "word": " h", "probability": 0.9677734375}, {"start": 699.24, "end": 699.56, "word": " بجه", "probability": 0.636474609375}, {"start": 699.56, "end": 699.9, "word": " اتنين", "probability": 0.91064453125}, {"start": 699.9, "end": 700.42, "word": " هدول", "probability": 0.9249674479166666}, {"start": 700.42, "end": 701.12, "word": " بيسووا", "probability": 0.88984375}, {"start": 701.12, "end": 701.56, "word": " بعض", "probability": 0.986572265625}, {"start": 701.56, "end": 702.24, "word": " تماما", "probability": 0.99462890625}, {"start": 702.24, "end": 703.06, "word": " طب", "probability": 0.869140625}, {"start": 703.06, "end": 703.38, "word": " هدى", "probability": 0.5923665364583334}, {"start": 703.38, "end": 703.96, "word": " subgroup", "probability": 0.8095703125}, {"start": 703.96, "end": 704.22, "word": " ولا", "probability": 0.9365234375}, {"start": 704.22, "end": 704.9, "word": " لأ", "probability": 0.866943359375}, {"start": 704.9, "end": 705.94, "word": " اذا", "probability": 0.67724609375}, {"start": 705.94, "end": 706.42, "word": " هدى", "probability": 0.923828125}, {"start": 706.42, "end": 706.68, "word": " من", "probability": 0.72705078125}, {"start": 706.68, "end": 707.62, "word": " subgroup", "probability": 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786.45, "end": 786.73, "word": " set", "probability": 0.95556640625}, {"start": 786.73, "end": 787.09, "word": " of", "probability": 0.9775390625}, {"start": 787.09, "end": 787.75, "word": " all", "probability": 0.927734375}, {"start": 787.75, "end": 793.93, "word": " two", "probability": 0.5693359375}, {"start": 793.93, "end": 794.41, "word": " by", "probability": 0.9462890625}, {"start": 794.41, "end": 794.95, "word": " two", "probability": 0.95166015625}, {"start": 794.95, "end": 796.59, "word": " matrices", "probability": 0.94970703125}], "temperature": 1.0}, {"id": 36, "seek": 82930, "start": 803.78, "end": 829.3, "text": "with the same determinant as a for example كمثال على ذلك", "tokens": [11820, 264, 912, 41296, 382, 257, 337, 1365, 9122, 2304, 12984, 6027, 15844, 29910, 23275], "avg_logprob": -0.19335937220603228, "compression_ratio": 0.8933333333333333, "no_speech_prob": 0.0, "words": [{"start": 803.7800000000001, "end": 805.1800000000001, "word": "with", "probability": 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by two matrices with determinant", "tokens": [45340, 9381, 5172, 38688, 3660, 13672, 1829, 6055, 1211, 9307, 3660, 4018, 36764, 24401, 1975, 2655, 1863, 9957, 45164, 48812, 25513, 2655, 11296, 8978, 3224, 389, 307, 264, 992, 295, 439, 732, 538, 732, 32284, 365, 41296], "avg_logprob": -0.17454769579987778, "compression_ratio": 1.1171875, "no_speech_prob": 0.0, "words": [{"start": 832.64, "end": 834.04, "word": "المصفوفة", "probability": 0.87392578125}, {"start": 834.04, "end": 834.8, "word": " اللي", "probability": 0.5823974609375}, {"start": 834.8, "end": 835.74, "word": " تلاتة", "probability": 0.834716796875}, {"start": 835.74, "end": 836.56, "word": " zero", "probability": 0.243896484375}, {"start": 836.56, "end": 837.68, "word": " واحد", "probability": 0.92919921875}, {"start": 837.68, "end": 838.76, "word": " اتنين", "probability": 0.9735107421875}, {"start": 838.76, "end": 839.66, "word": " لو", "probability": 0.9677734375}, {"start": 839.66, "end": 840.68, "word": " ضربتها", 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858.06, "word": " determinant", "probability": 0.93798828125}], "temperature": 1.0}, {"id": 38, "seek": 89142, "start": 865.12, "end": 891.42, "text": "ستة طيب بدنا نسأل السؤال التالي ليش هذا الكلام صحيح طلعلي فيها كويس طلعلي فيها كويس حتى نحاول ان نصل الى الإجابة لهذا السؤال الذي زعمناه ان ال order لها يساوي ستة قلي بلا كده ال remark بتقول ما يأتي", "tokens": [3794, 2655, 3660, 23032, 1829, 3555, 47525, 8315, 8717, 3794, 10721, 1211, 21136, 33604, 6027, 16712, 6027, 1829, 32239, 8592, 23758, 2423, 28820, 10943, 20328, 5016, 1829, 5016, 23032, 1211, 3615, 20292, 8978, 11296, 9122, 45865, 3794, 23032, 1211, 3615, 20292, 8978, 11296, 9122, 45865, 3794, 11331, 49975, 8717, 5016, 995, 12610, 16472, 8717, 36520, 2423, 7578, 33688, 7435, 16758, 3660, 46740, 15730, 21136, 33604, 6027, 43527, 30767, 25957, 8315, 3224, 16472, 2423, 1668, 5296, 11296, 7251, 3794, 995, 45865, 8608, 2655, 3660, 12174, 20292, 4724, 15040, 9122, 3215, 3224, 2423, 7942, 39894, 39648, 19446, 7251, 10721, 31371], 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{"start": 880.76, "end": 881.46, "word": " لهذا", "probability": 0.887939453125}, {"start": 881.46, "end": 882.06, "word": " السؤال", "probability": 0.99658203125}, {"start": 882.06, "end": 882.46, "word": " الذي", "probability": 0.6376953125}, {"start": 882.46, "end": 883.84, "word": " زعمناه", "probability": 0.9385986328125}, {"start": 883.84, "end": 884.5, "word": " ان", "probability": 0.89111328125}, {"start": 884.5, "end": 884.74, "word": " ال", "probability": 0.88330078125}, {"start": 884.74, "end": 885.24, "word": " order", "probability": 0.94287109375}, {"start": 885.24, "end": 885.86, "word": " لها", "probability": 0.703857421875}, {"start": 885.86, "end": 886.82, "word": " يساوي", "probability": 0.96240234375}, {"start": 886.82, "end": 888.1, "word": " ستة", "probability": 0.9685872395833334}, {"start": 888.1, "end": 888.34, "word": " قلي", "probability": 0.37127685546875}, {"start": 888.34, "end": 888.58, "word": " بلا", "probability": 0.5633544921875}, {"start": 888.58, "end": 888.98, "word": " كده", "probability": 0.8893229166666666}, {"start": 888.98, "end": 889.98, "word": " ال", "probability": 0.89892578125}, {"start": 889.98, "end": 890.3, "word": " remark", "probability": 0.9658203125}, {"start": 890.3, "end": 890.76, "word": " بتقول", "probability": 0.972412109375}, {"start": 890.76, "end": 890.98, "word": " ما", "probability": 0.95263671875}, {"start": 890.98, "end": 891.42, "word": " يأتي", "probability": 0.9142252604166666}], "temperature": 1.0}, {"id": 39, "seek": 91271, "start": 892.13, "end": 912.71, "text": "لو كانت الـ subgroup هي الـ special linear group ملي جروب اللي هو ال general linear group of two by two matrices over R طبعا هذه كل المصوفات اللي determinant لها لا يساوي zero هذه كل المصوفات اللي determinant لها لا يساوي مين واحد صحيح", "tokens": [1211, 2407, 25961, 2655, 2423, 39184, 1422, 17377, 39896, 2423, 39184, 2121, 8213, 1594, 3714, 20292, 10874, 32887, 3555, 13672, 1829, 31439, 2423, 2674, 8213, 1594, 295, 732, 538, 732, 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determinant لأي ألمصير ال determinant لإيه في ال determinant", "tokens": [3555, 39648, 2423, 39184, 10566, 29538, 28242, 3714, 9381, 5016, 38688, 3660, 8978, 11296, 9673, 24401, 3215, 6055, 3555, 3615, 11296, 7251, 3794, 2407, 7578, 9673, 24401, 3215, 6055, 3555, 3615, 9673, 9381, 5016, 38688, 3660, 1975, 1829, 3224, 20666, 11242, 3555, 9566, 46811, 10943, 995, 12399, 32239, 8592, 22807, 5296, 28814, 1863, 29538, 9673, 9381, 5016, 38688, 3660, 28242, 8141, 8978, 11296, 9673, 24401, 3215, 11778, 1829, 5296, 11296, 4724, 7435, 3215, 33599, 7251, 3555, 4587, 7578, 5296, 15042, 6055, 7435, 1829, 3555, 2423, 41296, 5296, 10721, 1829, 5551, 19528, 9381, 13546, 2423, 41296, 5296, 28814, 1829, 3224, 8978, 2423, 41296], "avg_logprob": -0.28246359107563795, "compression_ratio": 1.9, "no_speech_prob": 0.0, "words": [{"start": 931.09, "end": 931.77, "word": "بقول", "probability": 0.5140380859375}, {"start": 931.77, "end": 932.57, "word": " الـAH", "probability": 0.4117635091145833}, {"start": 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determinant", "probability": 0.87939453125}], "temperature": 1.0}, {"id": 42, "seek": 96906, "start": 957.06, "end": 969.06, "text": "لأ بيهيب واحد يبقى بيظلمين ال determinant ليه بيبقى كل عنصر فيها بدي يكون ال determinant له ك determinant لمين لإيه مثال على ذلك", "tokens": [1211, 10721, 4724, 1829, 3224, 1829, 3555, 36764, 24401, 7251, 3555, 4587, 7578, 4724, 1829, 19913, 19528, 9957, 2423, 41296, 32239, 3224, 4724, 1829, 3555, 4587, 7578, 28242, 18871, 9381, 2288, 8978, 11296, 4724, 16254, 7251, 30544, 2423, 41296, 46740, 9122, 41296, 32767, 9957, 5296, 28814, 1829, 3224, 50113, 6027, 15844, 29910, 23275], "avg_logprob": -0.3330439930712735, "compression_ratio": 1.5267175572519085, "no_speech_prob": 0.0, "words": [{"start": 957.06, "end": 957.64, "word": "لأ", "probability": 0.43658447265625}, {"start": 957.64, "end": 958.3, "word": " بيهيب", "probability": 0.6951171875}, {"start": 958.3, "end": 958.82, "word": " واحد", "probability": 0.984375}, {"start": 958.82, "end": 959.36, 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determinant", "probability": 0.9775390625}, {"start": 964.96, "end": 965.36, "word": " له", "probability": 0.228515625}, {"start": 965.36, "end": 965.66, "word": " ك", "probability": 0.8994140625}, {"start": 965.66, "end": 966.64, "word": " determinant", "probability": 0.41845703125}, {"start": 966.64, "end": 967.5, "word": " لمين", "probability": 0.798828125}, {"start": 967.5, "end": 968.0, "word": " لإيه", "probability": 0.71728515625}, {"start": 968.0, "end": 968.42, "word": " مثال", "probability": 0.731689453125}, {"start": 968.42, "end": 968.64, "word": " على", "probability": 0.89453125}, {"start": 968.64, "end": 969.06, "word": " ذلك", "probability": 0.994873046875}], "temperature": 1.0}, {"id": 43, "seek": 99438, "start": 970.64, "end": 994.38, "text": "المصحوفة اللي عندها دي element هذا موجود في ال general linear group لإن المحدد تبعه بقداش بستة يعني لا يساوي زينو معناته موجود في ال general يبقى the set of all two by two matrices اللي هذا مضروبة فيه with determinant ستة السبب لإنه بدي يكون ال determinant", "tokens": [45340, 9381, 5016, 38688, 3660, 13672, 1829, 43242, 11296, 11778, 1829, 4478, 23758, 3714, 29245, 23328, 8978, 2423, 2674, 8213, 1594, 5296, 28814, 1863, 9673, 24401, 3215, 6055, 3555, 3615, 3224, 4724, 28543, 33599, 4724, 14851, 3660, 37495, 22653, 20193, 7251, 3794, 995, 45865, 30767, 9957, 2407, 20449, 8315, 47395, 3714, 29245, 23328, 8978, 2423, 2674, 7251, 3555, 4587, 7578, 264, 992, 295, 439, 732, 538, 732, 32284, 13672, 1829, 23758, 3714, 11242, 32887, 49401, 8978, 3224, 365, 41296, 8608, 2655, 3660, 21136, 3555, 3555, 5296, 28814, 1863, 3224, 4724, 16254, 7251, 30544, 2423, 41296], "avg_logprob": -0.26367187189559144, "compression_ratio": 1.6170212765957446, "no_speech_prob": 0.0, "words": [{"start": 970.64, "end": 971.48, "word": "المصحوفة", "probability": 0.6915771484375}, {"start": 971.48, "end": 971.58, "word": " اللي", "probability": 0.554931640625}, {"start": 971.58, "end": 972.04, "word": " عندها", "probability": 0.750244140625}, 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sub group بيقسم ال order لل group", "tokens": [9566, 1829, 3555, 8717, 7435, 1829, 6024, 48506, 5296, 1863, 19913, 2288, 10632, 588, 1021, 8978, 25724, 26890, 37037, 24192, 5551, 3794, 32277, 10632, 49429, 9122, 2655, 16758, 10874, 26890, 4724, 1829, 9778, 1211, 14407, 9154, 11296, 29538, 28239, 19913, 2288, 10632, 24525, 2304, 11296, 5296, 19913, 2288, 10632, 24886, 14521, 24886, 14521, 31439, 13672, 1829, 1975, 4117, 2655, 8592, 5172, 11296, 20666, 36150, 3215, 39896, 4117, 2423, 1668, 45164, 25961, 2655, 2423, 460, 19362, 6156, 6027, 1668, 24976, 1422, 1594, 4724, 1829, 4587, 38251, 2423, 1668, 24976, 1594], "avg_logprob": -0.18854167328940497, "compression_ratio": 1.6862745098039216, "no_speech_prob": 0.0, "words": [{"start": 1012.75, "end": 1013.23, "word": "طيب", "probability": 0.660400390625}, {"start": 1013.23, "end": 1013.71, "word": " نجي", "probability": 0.7107747395833334}, {"start": 1013.71, "end": 1014.21, "word": " الآن", "probability": 0.5701904296875}, {"start": 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"word": " دير", "probability": 0.6102294921875}, {"start": 1042.2, "end": 1042.7, "word": " بالك", "probability": 0.713134765625}, {"start": 1042.7, "end": 1043.56, "word": " قدام", "probability": 0.7721354166666666}, {"start": 1043.56, "end": 1044.12, "word": " هناخد", "probability": 0.7432861328125}, {"start": 1044.12, "end": 1044.32, "word": " ان", "probability": 0.41748046875}, {"start": 1044.32, "end": 1044.52, "word": " ال", "probability": 0.8447265625}, {"start": 1044.52, "end": 1044.88, "word": " order", "probability": 0.92333984375}, {"start": 1044.88, "end": 1045.14, "word": " لل", "probability": 0.5322265625}, {"start": 1045.14, "end": 1045.54, "word": " element", "probability": 0.94287109375}, {"start": 1045.54, "end": 1045.98, "word": " بده", "probability": 0.3641357421875}, {"start": 1045.98, "end": 1046.22, "word": " يقسم", "probability": 0.9695638020833334}, {"start": 1046.22, "end": 1046.42, "word": " ال", "probability": 0.8671875}, {"start": 1046.42, "end": 1046.74, 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"probability": 0.84228515625}], "temperature": 1.0}, {"id": 47, "seek": 109356, "start": 1064.84, "end": 1093.56, "text": "النظرية هذه بتقول ما ياتي if ال H is a subgroup of a finite group G then ال order ل H divides", "tokens": [6027, 1863, 19913, 2288, 10632, 29538, 39894, 39648, 19446, 7251, 9307, 1829, 498, 2423, 389, 307, 257, 1422, 17377, 295, 257, 19362, 1594, 460, 550, 2423, 1668, 5296, 389, 41347], "avg_logprob": -0.2580645295881456, "compression_ratio": 1.1018518518518519, "no_speech_prob": 0.0, "words": [{"start": 1064.84, "end": 1065.58, "word": "النظرية", "probability": 0.90380859375}, {"start": 1065.58, "end": 1065.92, "word": " هذه", "probability": 0.75927734375}, {"start": 1065.92, "end": 1066.46, "word": " بتقول", "probability": 0.948486328125}, {"start": 1066.46, "end": 1066.78, "word": " ما", "probability": 0.6162109375}, {"start": 1066.78, "end": 1067.28, "word": " ياتي", "probability": 0.6193033854166666}, {"start": 1067.28, "end": 1067.5, "word": " if", 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0.7822265625}, {"start": 1089.88, "end": 1090.58, "word": " order", "probability": 0.92236328125}, {"start": 1090.58, "end": 1091.16, "word": " ل", "probability": 0.79931640625}, {"start": 1091.16, "end": 1091.68, "word": " H", "probability": 0.62109375}, {"start": 1091.68, "end": 1093.56, "word": " divides", "probability": 0.85693359375}], "temperature": 1.0}, {"id": 48, "seek": 112484, "start": 1095.73, "end": 1124.85, "text": "الـ order لـ G وزيادة على ذلك moreover و أكثر من ذلك the number of this connect the number of this connect the number of this connect left أو right left", "tokens": [6027, 39184, 1668, 5296, 39184, 460, 4032, 11622, 1829, 18513, 3660, 15844, 29910, 23275, 544, 3570, 4032, 5551, 4117, 49115, 9154, 29910, 23275, 264, 1230, 295, 341, 1745, 264, 1230, 295, 341, 1745, 264, 1230, 295, 341, 1745, 1411, 34051, 558, 1411], "avg_logprob": -0.25417878461438553, "compression_ratio": 1.547008547008547, "no_speech_prob": 0.0, "words": [{"start": 1095.73, "end": 1096.15, 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" the", "probability": 0.50830078125}, {"start": 1107.09, "end": 1107.51, "word": " number", "probability": 0.970703125}, {"start": 1107.51, "end": 1107.77, "word": " of", "probability": 0.97705078125}, {"start": 1107.77, "end": 1108.09, "word": " this", "probability": 0.57373046875}, {"start": 1108.09, "end": 1108.63, "word": " connect", "probability": 0.6005859375}, {"start": 1108.63, "end": 1109.47, "word": " the", "probability": 0.54833984375}, {"start": 1109.47, "end": 1111.35, "word": " number", "probability": 0.966796875}, {"start": 1111.35, "end": 1115.81, "word": " of", "probability": 0.95751953125}, {"start": 1115.81, "end": 1117.43, "word": " this", "probability": 0.91650390625}, {"start": 1117.43, "end": 1118.27, "word": " connect", "probability": 0.94677734375}, {"start": 1118.27, "end": 1120.33, "word": " the", "probability": 0.73876953125}, {"start": 1120.33, "end": 1120.67, "word": " number", "probability": 0.94921875}, {"start": 1120.67, "end": 1120.99, "word": " of", 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"end": 1131.91, "word": " left", "probability": 0.74853515625}, {"start": 1131.91, "end": 1132.33, "word": " او", "probability": 0.6649169921875}, {"start": 1132.33, "end": 1132.77, "word": " right", "probability": 0.9560546875}, {"start": 1132.77, "end": 1134.47, "word": " cassettes", "probability": 0.72119140625}, {"start": 1134.47, "end": 1136.35, "word": " of", "probability": 0.9375}, {"start": 1136.35, "end": 1137.69, "word": " H", "probability": 0.6240234375}, {"start": 1137.69, "end": 1138.95, "word": " in", "probability": 0.2183837890625}, {"start": 1138.95, "end": 1139.61, "word": " G", "probability": 0.8125}, {"start": 1139.61, "end": 1141.71, "word": " is", "probability": 0.87255859375}, {"start": 1141.71, "end": 1143.03, "word": " ال", "probability": 0.6201171875}, {"start": 1143.03, "end": 1143.57, "word": " order", "probability": 0.9169921875}, {"start": 1143.57, "end": 1143.83, "word": " ل", "probability": 0.8271484375}, {"start": 1143.83, "end": 1144.25, "word": " G", "probability": 0.529296875}, {"start": 1144.25, "end": 1145.27, "word": " على", "probability": 0.67578125}, {"start": 1145.27, "end": 1145.57, "word": " ال", "probability": 0.9775390625}, {"start": 1145.57, "end": 1146.15, "word": " order", "probability": 0.955078125}, {"start": 1146.15, "end": 1146.49, "word": " ال", "probability": 0.255859375}, {"start": 1146.49, "end": 1146.85, "word": " main", "probability": 0.77587890625}, {"start": 1146.85, "end": 1147.53, "word": " لل", "probability": 0.60888671875}, {"start": 1147.53, "end": 1148.05, "word": " H", "probability": 0.82958984375}, {"start": 1148.05, "end": 1151.11, "word": " بنبرهن", "probability": 0.684844970703125}, {"start": 1151.11, "end": 1151.63, "word": " صحة", "probability": 0.91015625}, {"start": 1151.63, "end": 1152.11, "word": " هذا", "probability": 0.794921875}, {"start": 1152.11, "end": 1152.97, "word": " الكلام", "probability": 0.9205729166666666}, {"start": 1152.97, "end": 1153.17, "word": " ال", "probability": 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let a1h a2h ونظل ماشيين the arh ب the", "tokens": [1211, 15042, 5551, 9778, 3215, 8315, 16247, 2304, 12984, 37977, 9673, 25720, 13672, 7578, 6156, 9307, 2655, 5296, 7435, 1829, 8315, 16472, 3224, 5551, 5016, 1829, 7649, 995, 2423, 5533, 46511, 1385, 39894, 3794, 995, 45865, 3714, 19913, 3555, 2407, 9566, 7251, 3555, 4587, 7578, 1975, 8315, 4724, 16254, 5551, 7435, 1829, 3555, 28242, 2423, 5533, 46511, 1385, 13672, 7578, 4724, 1829, 30544, 49429, 36764, 24401, 3660, 8978, 16095, 39894, 3794, 995, 45865, 1975, 2655, 6055, 7649, 10632, 7251, 3555, 4587, 7578, 4724, 16254, 5551, 7435, 1829, 5551, 39648, 3224, 718, 257, 16, 71, 257, 17, 71, 4032, 1863, 19913, 1211, 3714, 33599, 1829, 9957, 264, 594, 71, 4724, 264], "avg_logprob": -0.21509009170102644, "compression_ratio": 1.697560975609756, "no_speech_prob": 0.0, "words": [{"start": 1248.12, "end": 1248.56, "word": "لما", "probability": 0.6221923828125}, {"start": 1248.56, "end": 1248.92, "word": " أخدنا", "probability": 0.7991943359375}, 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"word": " ونظل", "probability": 0.74560546875}, {"start": 1270.82, "end": 1271.52, "word": " ماشيين", "probability": 0.907470703125}, {"start": 1271.52, "end": 1271.7, "word": " the", "probability": 0.71630859375}, {"start": 1271.7, "end": 1273.3, "word": " arh", "probability": 0.6962890625}, {"start": 1273.3, "end": 1274.06, "word": " ب", "probability": 0.90625}, {"start": 1274.06, "end": 1275.62, "word": " the", "probability": 0.560546875}], "temperature": 1.0}, {"id": 55, "seek": 130350, "start": 1278.56, "end": 1303.5, "text": "Left Destinate Cosets of H and G بدأ افترض ان هذا عبارة عن ايش؟ عبارة عن كل Destinate Left Cosets اللي ولا واحدة بتساوي التانية", "tokens": [43, 14450, 16339, 259, 473, 15855, 1385, 295, 389, 293, 460, 47525, 10721, 1975, 5172, 2655, 43042, 16472, 23758, 6225, 3555, 9640, 3660, 18871, 1975, 1829, 8592, 22807, 6225, 3555, 9640, 3660, 18871, 28242, 16339, 13923, 16405, 15855, 1385, 13672, 1829, 49429, 36764, 24401, 3660, 39894, 3794, 995, 45865, 16712, 7649, 10632], "avg_logprob": -0.34964621516893496, "compression_ratio": 1.3214285714285714, "no_speech_prob": 0.0, "words": [{"start": 1278.56, "end": 1279.84, "word": "Left", "probability": 0.3123779296875}, {"start": 1279.84, "end": 1281.12, "word": " Destinate", "probability": 0.6261393229166666}, {"start": 1281.12, "end": 1284.94, "word": " Cosets", "probability": 0.87841796875}, {"start": 1284.94, "end": 1288.78, "word": " of", "probability": 0.775390625}, {"start": 1288.78, "end": 1290.22, "word": " H", "probability": 0.7275390625}, {"start": 1290.22, "end": 1290.84, "word": " and", "probability": 0.732421875}, {"start": 1290.84, "end": 1291.14, "word": " G", "probability": 0.97216796875}, {"start": 1291.14, "end": 1293.32, "word": " بدأ", "probability": 0.326080322265625}, {"start": 1293.32, "end": 1293.86, "word": " افترض", "probability": 0.8953857421875}, {"start": 1293.86, "end": 1294.86, "word": " ان", "probability": 0.84326171875}, {"start": 1294.86, "end": 1295.28, "word": " هذا", "probability": 0.65869140625}, {"start": 1295.28, "end": 1297.04, "word": " عبارة", "probability": 0.83148193359375}, {"start": 1297.04, "end": 1297.18, "word": " عن", "probability": 0.9853515625}, {"start": 1297.18, "end": 1297.52, "word": " ايش؟", "probability": 0.621063232421875}, {"start": 1297.52, "end": 1297.8, "word": " عبارة", "probability": 0.98046875}, {"start": 1297.8, "end": 1298.06, "word": " عن", "probability": 0.99462890625}, {"start": 1298.06, "end": 1298.76, "word": " كل", "probability": 0.8984375}, {"start": 1298.76, "end": 1299.68, "word": " Destinate", "probability": 0.435546875}, {"start": 1299.68, "end": 1300.04, "word": " Left", "probability": 0.64453125}, {"start": 1300.04, "end": 1300.68, "word": " Cosets", "probability": 0.95263671875}, {"start": 1300.68, "end": 1301.02, "word": " اللي", "probability": 0.824462890625}, {"start": 1301.02, "end": 1301.4, "word": " ولا", "probability": 0.79345703125}, {"start": 1301.4, "end": 1301.98, "word": " واحدة", "probability": 0.9557291666666666}, {"start": 1301.98, "end": 1302.72, "word": " بتساوي", "probability": 0.921875}, {"start": 1302.72, "end": 1303.5, "word": " التانية", "probability": 0.9519856770833334}], "temperature": 1.0}, {"id": 56, "seek": 132269, "start": 1305.01, "end": 1322.69, "text": "طيب، الآن بداجي أقول let ال A belongs to G then ال A H is a left cassette", "tokens": [9566, 1829, 3555, 12399, 6024, 48506, 47525, 26108, 1829, 5551, 39648, 718, 2423, 316, 12953, 281, 460, 550, 2423, 316, 389, 307, 257, 1411, 40514], "avg_logprob": -0.3996394288081389, "compression_ratio": 1.010752688172043, "no_speech_prob": 0.0, "words": [{"start": 1305.01, "end": 1306.41, "word": "طيب،", "probability": 0.7247314453125}, {"start": 1306.41, "end": 1307.21, "word": " الآن", "probability": 0.6544189453125}, {"start": 1307.21, "end": 1308.19, "word": " بداجي", "probability": 0.54638671875}, {"start": 1308.19, "end": 1308.89, "word": " أقول", "probability": 0.769287109375}, {"start": 1308.89, "end": 1310.13, "word": " let", "probability": 0.56591796875}, {"start": 1310.13, "end": 1311.07, "word": " ال", "probability": 0.8173828125}, {"start": 1311.07, "end": 1311.63, "word": " A", "probability": 0.429443359375}, {"start": 1311.63, "end": 1312.35, "word": " belongs", "probability": 0.7666015625}, {"start": 1312.35, "end": 1312.69, "word": " to", "probability": 0.98828125}, {"start": 1312.69, "end": 1313.01, "word": " G", "probability": 0.9853515625}, {"start": 1313.01, "end": 1315.43, "word": " then", "probability": 0.354736328125}, {"start": 1315.43, "end": 1317.79, "word": " ال", "probability": 0.92578125}, {"start": 1317.79, "end": 1318.25, "word": " A", "probability": 0.908203125}, {"start": 1318.25, "end": 1318.87, "word": " H", "probability": 0.82080078125}, {"start": 1318.87, "end": 1319.71, "word": " is", "probability": 0.9658203125}, {"start": 1319.71, "end": 1320.53, "word": " a", "probability": 0.96630859375}, {"start": 1320.53, "end": 1321.25, "word": " left", "probability": 0.94580078125}, {"start": 1321.25, "end": 1322.69, "word": " cassette", "probability": 0.2442626953125}], "temperature": 1.0}, {"id": 57, "seek": 135046, "start": 1324.16, "end": 1350.46, "text": "صحيح ولا لأ يعني معناته ان ال a h هساوي واحدة من هدول هتكون واحدة منهم صح يبقى الآن ساعة ال a h هذه بدها ساوي a i h تمام طيب كويس but", "tokens": [9381, 5016, 1829, 5016, 49429, 5296, 10721, 37495, 22653, 20449, 8315, 47395, 16472, 2423, 257, 276, 8032, 3794, 995, 45865, 36764, 24401, 3660, 9154, 8032, 3215, 12610, 8032, 2655, 30544, 36764, 24401, 3660, 9154, 16095, 20328, 5016, 7251, 3555, 4587, 7578, 6024, 48506, 8608, 995, 27884, 2423, 257, 276, 29538, 47525, 11296, 8608, 995, 45865, 257, 741, 276, 46811, 10943, 23032, 1829, 3555, 9122, 45865, 3794, 457], "avg_logprob": -0.24287683560567744, "compression_ratio": 1.5448275862068965, "no_speech_prob": 0.0, "words": [{"start": 1324.16, "end": 1324.74, "word": "صحيح", "probability": 0.78369140625}, {"start": 1324.74, "end": 1324.88, "word": " ولا", "probability": 0.7431640625}, {"start": 1324.88, "end": 1325.32, "word": " لأ", "probability": 0.794677734375}, {"start": 1325.32, "end": 1326.3, "word": " يعني", "probability": 0.73388671875}, {"start": 1326.3, "end": 1326.94, "word": " معناته", "probability": 0.96484375}, {"start": 1326.94, "end": 1327.26, "word": " ان", "probability": 0.6630859375}, {"start": 1327.26, "end": 1327.6, "word": " ال", "probability": 0.95263671875}, {"start": 1327.6, "end": 1327.88, "word": " a", "probability": 0.25537109375}, {"start": 1327.88, "end": 1328.32, "word": " h", "probability": 0.783203125}, {"start": 1328.32, "end": 1329.0, "word": " هساوي", "probability": 0.68023681640625}, {"start": 1329.0, "end": 1329.46, "word": " واحدة", "probability": 0.8797200520833334}, {"start": 1329.46, "end": 1329.68, "word": " من", "probability": 0.99072265625}, {"start": 1329.68, "end": 1330.4, "word": " هدول", "probability": 0.9357096354166666}, {"start": 1330.4, "end": 1331.36, "word": " هتكون", "probability": 0.9435221354166666}, {"start": 1331.36, "end": 1331.74, "word": " واحدة", "probability": 0.95654296875}, {"start": 1331.74, "end": 1332.16, "word": " منهم", "probability": 0.956787109375}, {"start": 1332.16, "end": 1332.62, "word": " صح", "probability": 0.889404296875}, {"start": 1332.62, "end": 1334.0, "word": " يبقى", "probability": 0.899169921875}, {"start": 1334.0, "end": 1335.02, "word": " الآن", "probability": 0.6109619140625}, {"start": 1335.02, "end": 1336.2, "word": " ساعة", "probability": 0.5564778645833334}, {"start": 1336.2, "end": 1337.84, "word": " ال", "probability": 0.91162109375}, {"start": 1337.84, "end": 1338.3, "word": " a", "probability": 0.8525390625}, {"start": 1338.3, "end": 1338.88, "word": " h", "probability": 0.88427734375}, {"start": 1338.88, "end": 1339.5, "word": " هذه", "probability": 0.603515625}, {"start": 1339.5, "end": 1340.58, "word": " بدها", "probability": 0.84130859375}, {"start": 1340.58, "end": 1341.32, "word": " ساوي", "probability": 0.8382161458333334}, {"start": 1341.32, "end": 1342.16, "word": " a", "probability": 0.78125}, {"start": 1342.16, "end": 1343.02, "word": " i", "probability": 0.4501953125}, {"start": 1343.02, "end": 1343.58, "word": " h", "probability": 0.97119140625}, {"start": 1343.58, "end": 1347.42, "word": " تمام", "probability": 0.7919921875}, {"start": 1347.42, "end": 1349.46, "word": " طيب", "probability": 0.8865559895833334}, {"start": 1349.46, "end": 1350.1, "word": " كويس", "probability": 0.9703776041666666}, {"start": 1350.1, "end": 1350.46, "word": " but", "probability": 0.67919921875}], "temperature": 1.0}, {"id": 58, "seek": 136580, "start": 1352.24, "end": 1365.8, "text": "we know that احنا بنعرف ان ال a موجودة في ال a h فموجودة في ال a h مظبوط", "tokens": [826, 458, 300, 1975, 5016, 8315, 44945, 3615, 28480, 16472, 2423, 257, 3714, 29245, 23328, 3660, 8978, 2423, 257, 276, 6156, 2304, 29245, 23328, 3660, 8978, 2423, 257, 276, 3714, 19913, 3555, 2407, 9566], "avg_logprob": -0.265625, "compression_ratio": 1.353658536585366, "no_speech_prob": 0.0, "words": [{"start": 1352.2400000000002, "end": 1353.3600000000001, "word": "we", "probability": 0.43701171875}, {"start": 1353.3600000000001, "end": 1354.48, "word": " know", "probability": 0.8779296875}, {"start": 1354.48, "end": 1355.28, "word": " that", "probability": 0.9501953125}, {"start": 1355.28, "end": 1356.86, "word": " احنا", "probability": 0.814697265625}, {"start": 1356.86, "end": 1357.56, "word": " بنعرف", "probability": 0.9466145833333334}, {"start": 1357.56, "end": 1358.12, "word": " ان", "probability": 0.75390625}, {"start": 1358.12, "end": 1358.52, "word": " ال", "probability": 0.96630859375}, {"start": 1358.52, "end": 1358.92, "word": " a", "probability": 0.484375}, {"start": 1358.92, "end": 1359.76, "word": " موجودة", "probability": 0.9715576171875}, {"start": 1359.76, "end": 1359.9, "word": " في", "probability": 0.92578125}, {"start": 1359.9, "end": 1360.08, "word": " ال", "probability": 0.91064453125}, {"start": 1360.08, "end": 1360.26, "word": " a", "probability": 0.12548828125}, {"start": 1360.26, "end": 1360.64, "word": " h", "probability": 0.276611328125}, {"start": 1360.64, "end": 1362.26, "word": " فموجودة", "probability": 0.9548828125}, {"start": 1362.26, "end": 1362.44, "word": " في", "probability": 0.95068359375}, {"start": 1362.44, "end": 1362.76, "word": " ال", "probability": 0.98583984375}, {"start": 1362.76, "end": 1363.26, "word": " a", "probability": 0.947265625}, {"start": 1363.26, "end": 1364.02, "word": " h", "probability": 0.78759765625}, {"start": 1364.02, "end": 1365.8, "word": " مظبوط", "probability": 0.858203125}], "temperature": 1.0}, {"id": 59, "seek": 139075, "start": 1367.23, "end": 1390.75, "text": "بارهنها المرة اللى فاتت مدام موجودة هنا وهذه بتساوي هذه يبقى ال element وين موجود؟ في ال A I H يبقى هذا بده يعطينا ان ال A belongs to A I H طب انا لما أخدت ال A في G أخدت عنصر عشوائي ولا عنصر محدد", "tokens": [3555, 9640, 3224, 1863, 11296, 9673, 25720, 13672, 7578, 6156, 9307, 2655, 3714, 3215, 10943, 3714, 29245, 23328, 3660, 34105, 37037, 24192, 39894, 3794, 995, 45865, 29538, 7251, 3555, 4587, 7578, 2423, 4478, 4032, 9957, 3714, 29245, 23328, 22807, 8978, 2423, 316, 286, 389, 7251, 3555, 4587, 7578, 23758, 47525, 3224, 37495, 9566, 1829, 8315, 16472, 2423, 316, 12953, 281, 316, 286, 389, 23032, 3555, 1975, 8315, 5296, 15042, 5551, 9778, 3215, 2655, 2423, 316, 8978, 460, 5551, 9778, 3215, 2655, 18871, 9381, 2288, 6225, 8592, 2407, 16373, 1829, 49429, 18871, 9381, 2288, 3714, 24401, 3215], "avg_logprob": -0.22841494353776126, "compression_ratio": 1.6512820512820512, "no_speech_prob": 0.0, "words": [{"start": 1367.23, "end": 1368.05, "word": "بارهنها", "probability": 0.60546875}, {"start": 1368.05, "end": 1368.37, "word": " المرة", "probability": 0.829833984375}, {"start": 1368.37, "end": 1368.55, "word": " اللى", "probability": 0.70849609375}, {"start": 1368.55, "end": 1368.99, "word": " فاتت", "probability": 0.9620768229166666}, {"start": 1368.99, "end": 1369.75, "word": " مدام", "probability": 0.6197916666666666}, {"start": 1369.75, "end": 1370.39, "word": " موجودة", "probability": 0.9039306640625}, {"start": 1370.39, "end": 1370.69, "word": " هنا", "probability": 0.9775390625}, {"start": 1370.69, "end": 1371.19, "word": " وهذه", "probability": 0.6640625}, {"start": 1371.19, "end": 1371.89, "word": " بتساوي", "probability": 0.76007080078125}, {"start": 1371.89, "end": 1372.23, "word": " هذه", "probability": 0.76025390625}, {"start": 1372.23, "end": 1372.65, "word": " يبقى", "probability": 0.9315185546875}, {"start": 1372.65, "end": 1372.79, "word": " ال", "probability": 0.88623046875}, {"start": 1372.79, "end": 1373.25, "word": " element", "probability": 0.8994140625}, {"start": 1373.25, "end": 1373.55, "word": " وين", "probability": 0.5849609375}, {"start": 1373.55, "end": 1374.25, "word": " موجود؟", "probability": 0.84515380859375}, {"start": 1374.25, "end": 1374.37, "word": " في", "probability": 0.638671875}, {"start": 1374.37, "end": 1374.53, "word": " ال", "probability": 0.88330078125}, {"start": 1374.53, "end": 1374.77, "word": " A", "probability": 0.33984375}, {"start": 1374.77, "end": 1375.07, "word": " I", "probability": 0.66015625}, {"start": 1375.07, "end": 1375.49, "word": " H", "probability": 0.98486328125}, {"start": 1375.49, "end": 1376.67, "word": " يبقى", "probability": 0.974609375}, {"start": 1376.67, "end": 1377.01, "word": " هذا", "probability": 0.91455078125}, {"start": 1377.01, "end": 1377.45, "word": " بده", "probability": 0.73486328125}, {"start": 1377.45, "end": 1378.23, "word": " يعطينا", "probability": 0.97021484375}, {"start": 1378.23, "end": 1378.61, "word": " ان", "probability": 0.85498046875}, {"start": 1378.61, "end": 1379.01, "word": " ال", "probability": 0.93603515625}, {"start": 1379.01, "end": 1379.31, "word": " A", "probability": 0.7802734375}, {"start": 1379.31, "end": 1380.07, "word": " belongs", "probability": 0.317626953125}, {"start": 1380.07, "end": 1380.49, "word": " to", "probability": 0.97314453125}, {"start": 1380.49, "end": 1381.13, "word": " A", "probability": 0.76708984375}, {"start": 1381.13, "end": 1381.75, "word": " I", "probability": 0.97900390625}, {"start": 1381.75, "end": 1382.29, "word": " H", "probability": 0.9853515625}, {"start": 1382.29, "end": 1385.75, "word": " طب", "probability": 0.526611328125}, {"start": 1385.75, "end": 1386.01, "word": " انا", "probability": 0.840576171875}, {"start": 1386.01, "end": 1386.21, "word": " لما", "probability": 0.913818359375}, {"start": 1386.21, "end": 1386.61, "word": " أخدت", "probability": 0.8748779296875}, {"start": 1386.61, "end": 1386.75, "word": " ال", "probability": 0.927734375}, {"start": 1386.75, "end": 1386.93, "word": " A", "probability": 0.88134765625}, {"start": 1386.93, "end": 1387.09, "word": " في", "probability": 0.841796875}, {"start": 1387.09, "end": 1387.23, "word": " G", "probability": 0.8076171875}, {"start": 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ولا", "probability": 0.97216796875}, {"start": 1407.69, "end": 1408.91, "word": " لأ", "probability": 0.860595703125}, {"start": 1408.91, "end": 1409.47, "word": " سكت", "probability": 0.7906901041666666}, {"start": 1409.47, "end": 1409.97, "word": " الشعب", "probability": 0.9892578125}], "temperature": 1.0}, {"id": 61, "seek": 142160, "start": 1410.92, "end": 1421.6, "text": "مرة تانية انا اخدت a عشوائيا من g تمام لجيت ال a هذا موجود في واحدة من هدول ايه موجود في ال ai", "tokens": [2304, 25720, 6055, 7649, 10632, 1975, 8315, 1975, 9778, 3215, 2655, 257, 6225, 8592, 2407, 16373, 25528, 9154, 290, 6055, 15042, 2304, 5296, 7435, 36081, 2423, 257, 23758, 3714, 29245, 23328, 8978, 36764, 24401, 3660, 9154, 8032, 3215, 12610, 1975, 1829, 3224, 3714, 29245, 23328, 8978, 2423, 9783], "avg_logprob": -0.23341836734693877, "compression_ratio": 1.4907407407407407, "no_speech_prob": 0.0, "words": [{"start": 1410.92, "end": 1411.42, "word": "مرة", "probability": 0.702392578125}, {"start": 1411.42, 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يبقى this means that this means that any element", "tokens": [39, 3714, 19913, 3555, 2407, 9566, 3714, 2304, 2655, 31377, 10874, 28259, 7251, 3555, 4587, 7578, 23758, 37495, 22653, 16472, 3224, 28242, 18871, 9381, 2288, 39894, 47283, 3215, 3224, 9154, 460, 5296, 31377, 2304, 6055, 15040, 38436, 3224, 8978, 2135, 8978, 36764, 24401, 3660, 9154, 2423, 1411, 17275, 3792, 1385, 3714, 19913, 3555, 2407, 9566, 7251, 3555, 4587, 7578, 341, 1355, 300, 341, 1355, 300, 604, 4478], "avg_logprob": -0.21656709931352558, "compression_ratio": 1.460122699386503, "no_speech_prob": 0.0, "words": [{"start": 1422.58, "end": 1423.06, "word": "H", "probability": 0.11041259765625}, {"start": 1423.06, "end": 1424.0, "word": " مظبوط", "probability": 0.867578125}, {"start": 1424.0, "end": 1425.04, "word": " ممتاز", "probability": 0.9146728515625}, {"start": 1425.04, "end": 1425.3, "word": " جدا", "probability": 0.900146484375}, {"start": 1425.3, "end": 1425.66, "word": " يبقى", "probability": 0.8740234375}, 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"end": 1431.92, "word": " في", "probability": 0.79296875}, {"start": 1431.92, "end": 1432.36, "word": " واحدة", "probability": 0.95556640625}, {"start": 1432.36, "end": 1432.54, "word": " من", "probability": 0.990234375}, {"start": 1432.54, "end": 1432.74, "word": " ال", "probability": 0.7734375}, {"start": 1432.74, "end": 1433.0, "word": " left", "probability": 0.69921875}, {"start": 1433.0, "end": 1433.6, "word": " distant", "probability": 0.1190185546875}, {"start": 1433.6, "end": 1434.58, "word": " cosets", "probability": 0.7071533203125}, {"start": 1434.58, "end": 1435.58, "word": " مظبوط", "probability": 0.9220703125}, {"start": 1435.58, "end": 1436.7, "word": " يبقى", "probability": 0.984130859375}, {"start": 1436.7, "end": 1437.04, "word": " this", "probability": 0.91259765625}, {"start": 1437.04, "end": 1437.56, "word": " means", "probability": 0.92529296875}, {"start": 1437.56, "end": 1438.12, "word": " that", "probability": 0.95263671875}, {"start": 1438.12, "end": 1439.32, 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عليهم this and that يبقى ال intersection تبعهم يسوى five إذا لا يمكن لعنصر يكون confidentين منهم", "tokens": [10721, 15730, 28242, 18871, 9381, 2288, 4724, 47283, 3215, 3224, 9154, 10874, 1829, 3224, 5296, 15042, 5551, 9778, 3215, 3224, 9154, 10874, 1829, 3224, 4724, 15040, 38436, 3224, 8978, 36764, 24401, 3660, 9154, 8032, 3215, 12610, 23032, 3555, 21136, 33604, 6027, 31439, 8032, 1211, 8032, 3215, 12610, 4724, 1829, 3794, 2407, 14407, 45030, 11242, 16095, 7251, 3555, 4587, 7578, 2423, 15236, 1732, 3714, 2304, 2655, 31377, 10874, 28259, 4032, 45164, 36764, 24401, 3660, 10874, 6027, 4724, 1829, 3794, 2407, 7578, 6055, 7649, 1829, 8717, 7435, 6027, 25894, 16095, 341, 293, 300, 7251, 3555, 4587, 7578, 2423, 15236, 6055, 3555, 3615, 16095, 7251, 3794, 2407, 7578, 1732, 11933, 15730, 20193, 7251, 43020, 5296, 3615, 1863, 9381, 2288, 7251, 30544, 6679, 9957, 9154, 16095], "avg_logprob": -0.27134145033068774, "compression_ratio": 1.7914893617021277, "no_speech_prob": 0.0, "words": [{"start": 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j", "probability": 0.53564453125}], "temperature": 1.0}, {"id": 66, "seek": 154717, "start": 1525.97, "end": 1547.17, "text": "لما هؤلاء ما يتساووش يبقى هؤلاء ما يتساووش بعض إذا الـI والـJ لا يتساووش بعض إذا كل element موجود بالضبط في واحدة من من هؤلاء طيب إذا الـG مش هي عبارة عن ال union تبع هؤلاء كلهم ولا لأ؟", "tokens": [1211, 15042, 8032, 33604, 1211, 16606, 19446, 7251, 2655, 3794, 995, 2407, 2407, 8592, 7251, 3555, 4587, 7578, 8032, 33604, 1211, 16606, 19446, 7251, 2655, 3794, 995, 2407, 2407, 8592, 45030, 11242, 11933, 15730, 2423, 39184, 40, 16070, 39184, 41, 20193, 7251, 2655, 3794, 995, 2407, 2407, 8592, 45030, 11242, 11933, 15730, 28242, 4478, 3714, 29245, 23328, 20666, 11242, 3555, 9566, 8978, 36764, 24401, 3660, 9154, 9154, 8032, 33604, 1211, 16606, 23032, 1829, 3555, 11933, 15730, 2423, 39184, 38, 37893, 39896, 6225, 3555, 9640, 3660, 18871, 2423, 11671, 6055, 3555, 3615, 8032, 33604, 1211, 16606, 28242, 16095, 49429, 5296, 10721, 22807], "avg_logprob": 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الـI", "probability": 0.4759928385416667}, {"start": 1531.99, "end": 1532.57, "word": " والـJ", "probability": 0.6720377604166666}, {"start": 1532.57, "end": 1532.89, "word": " لا", "probability": 0.28857421875}, {"start": 1532.89, "end": 1533.27, "word": " يتساووش", "probability": 0.8348214285714286}, {"start": 1533.27, "end": 1533.53, "word": " بعض", "probability": 0.935302734375}, {"start": 1533.53, "end": 1534.29, "word": " إذا", "probability": 0.628173828125}, {"start": 1534.29, "end": 1534.83, "word": " كل", "probability": 0.90771484375}, {"start": 1534.83, "end": 1535.39, "word": " element", "probability": 0.1463623046875}, {"start": 1535.39, "end": 1536.21, "word": " موجود", "probability": 0.9407552083333334}, {"start": 1536.21, "end": 1537.59, "word": " بالضبط", "probability": 0.760986328125}, {"start": 1537.59, "end": 1537.81, "word": " في", "probability": 0.869140625}, {"start": 1537.81, "end": 1538.35, "word": " واحدة", "probability": 0.9763997395833334}, {"start": 1538.35, "end": 1538.55, "word": " من", "probability": 0.97705078125}, {"start": 1538.55, "end": 1538.77, "word": " من", "probability": 0.384765625}, {"start": 1538.77, "end": 1540.09, "word": " هؤلاء", "probability": 0.8310546875}, {"start": 1540.09, "end": 1540.99, "word": " طيب", "probability": 0.700927734375}, {"start": 1540.99, "end": 1541.49, "word": " إذا", "probability": 0.899169921875}, {"start": 1541.49, "end": 1542.25, "word": " الـG", "probability": 0.7874348958333334}, {"start": 1542.25, "end": 1542.93, "word": " مش", "probability": 0.8173828125}, {"start": 1542.93, "end": 1543.21, "word": " هي", "probability": 0.78466796875}, {"start": 1543.21, "end": 1543.73, "word": " عبارة", "probability": 0.993408203125}, {"start": 1543.73, "end": 1543.95, "word": " عن", "probability": 0.9970703125}, {"start": 1543.95, "end": 1544.09, "word": " ال", "probability": 0.5263671875}, {"start": 1544.09, "end": 1544.51, "word": " union", "probability": 0.927734375}, {"start": 1544.51, "end": 1545.03, "word": " تبع", "probability": 0.9425455729166666}, {"start": 1545.03, "end": 1545.35, "word": " هؤلاء", "probability": 0.9490966796875}, {"start": 1545.35, "end": 1545.93, "word": " كلهم", "probability": 0.9619140625}, {"start": 1545.93, "end": 1546.15, "word": " ولا", "probability": 0.828125}, {"start": 1546.15, "end": 1547.17, "word": " لأ؟", "probability": 0.8053385416666666}], "temperature": 1.0}, {"id": 67, "seek": 158612, "start": 1556.62, "end": 1586.12, "text": "لجروب G هي عبارة عن A1H اتحاد A2H اتحاد اتحاد ARH كويس يعني هذا يعني ان ال order ل G ال order ل G بدي سوى ال order ل A1H زائد ال order ل A2H", "tokens": [1211, 7435, 32887, 3555, 460, 39896, 6225, 3555, 9640, 3660, 18871, 316, 16, 39, 1975, 2655, 5016, 18513, 316, 17, 39, 1975, 2655, 5016, 18513, 1975, 2655, 5016, 18513, 8943, 39, 9122, 45865, 3794, 37495, 22653, 23758, 37495, 22653, 16472, 2423, 1668, 5296, 460, 2423, 1668, 5296, 460, 4724, 16254, 8608, 2407, 7578, 2423, 1668, 5296, 316, 16, 39, 30767, 16373, 3215, 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"word": " ARH", "probability": 0.69140625}, {"start": 1568.3, "end": 1571.04, "word": " كويس", "probability": 0.7491861979166666}, {"start": 1571.04, "end": 1572.16, "word": " يعني", "probability": 0.872314453125}, {"start": 1572.16, "end": 1572.64, "word": " هذا", "probability": 0.95068359375}, {"start": 1572.64, "end": 1573.3, "word": " يعني", "probability": 0.96728515625}, {"start": 1573.3, "end": 1573.78, "word": " ان", "probability": 0.892578125}, {"start": 1573.78, "end": 1574.06, "word": " ال", "probability": 0.8974609375}, {"start": 1574.06, "end": 1574.74, "word": " order", "probability": 0.94287109375}, {"start": 1574.74, "end": 1575.2, "word": " ل", "probability": 0.78125}, {"start": 1575.2, "end": 1575.72, "word": " G", "probability": 0.83251953125}, {"start": 1575.72, "end": 1576.36, "word": " ال", "probability": 0.27490234375}, {"start": 1576.36, "end": 1577.56, "word": " order", "probability": 0.97900390625}, {"start": 1577.56, "end": 1577.86, "word": " ل", "probability": 0.95166015625}, {"start": 1577.86, "end": 1578.18, "word": " G", "probability": 0.96337890625}, {"start": 1578.18, "end": 1578.92, "word": " بدي", "probability": 0.37060546875}, {"start": 1578.92, "end": 1579.4, "word": " سوى", "probability": 0.646728515625}, {"start": 1579.4, "end": 1579.56, "word": " ال", "probability": 0.9404296875}, {"start": 1579.56, "end": 1579.94, "word": " order", "probability": 0.9814453125}, {"start": 1579.94, "end": 1580.18, "word": " ل", "probability": 0.69091796875}, {"start": 1580.18, "end": 1581.48, "word": " A1H", "probability": 0.8478190104166666}, {"start": 1581.48, "end": 1582.6, "word": " زائد", "probability": 0.88037109375}, {"start": 1582.6, "end": 1582.84, "word": " ال", "probability": 0.98583984375}, {"start": 1582.84, "end": 1583.36, "word": " order", "probability": 0.97705078125}, {"start": 1583.36, "end": 1583.78, "word": " ل", "probability": 0.77099609375}, {"start": 1583.78, "end": 1586.12, "word": " A2H", "probability": 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لل", "probability": 0.67724609375}, {"start": 1593.2, "end": 1595.28, "word": " ARH", "probability": 0.52880859375}, {"start": 1595.28, "end": 1599.22, "word": " طيب", "probability": 0.9166666666666666}, {"start": 1599.22, "end": 1599.76, "word": " سؤال", "probability": 0.9778645833333334}, {"start": 1599.76, "end": 1601.32, "word": " انا", "probability": 0.6798095703125}, {"start": 1601.32, "end": 1601.54, "word": " H", "probability": 0.73193359375}, {"start": 1601.54, "end": 1601.92, "word": " فيها", "probability": 0.97607421875}, {"start": 1601.92, "end": 1602.4, "word": " عشرة", "probability": 0.8191731770833334}, {"start": 1602.4, "end": 1602.92, "word": " elements", "probability": 0.8984375}, {"start": 1602.92, "end": 1603.62, "word": " مثلا", "probability": 0.97607421875}], "temperature": 1.0}, {"id": 69, "seek": 163094, "start": 1604.42, "end": 1630.94, "text": "و جيت ضربت ال H في أي عنصر من عناصر G بيطلع عندى عشرة elements ولا أكتر ولا أقل عشرة بالضبط لما يكون عندى ال sub group و اضربها في أي element من ال group بيضلوا العشرة العددهم عشرة صحيح بيختلفوا لكن بيضلوا عشرة من ناحية العدد معناته ال order لل a1h يساوي ال order للh", "tokens": [2407, 10874, 36081, 48812, 25513, 2655, 2423, 389, 8978, 36632, 18871, 9381, 2288, 9154, 18871, 33546, 2288, 460, 4724, 1829, 9566, 1211, 3615, 43242, 7578, 6225, 8592, 25720, 4959, 49429, 5551, 4117, 2655, 2288, 49429, 5551, 4587, 1211, 6225, 8592, 25720, 20666, 11242, 3555, 9566, 5296, 15042, 7251, 30544, 43242, 7578, 2423, 1422, 1594, 4032, 1975, 11242, 25513, 11296, 8978, 36632, 4478, 9154, 2423, 1594, 4724, 1829, 11242, 1211, 14407, 18863, 8592, 25720, 18863, 3215, 3215, 16095, 6225, 8592, 25720, 20328, 5016, 1829, 5016, 4724, 1829, 46456, 46538, 14407, 44381, 4724, 1829, 11242, 1211, 14407, 6225, 8592, 25720, 9154, 8717, 39319, 10632, 18863, 3215, 3215, 20449, 8315, 47395, 2423, 1668, 24976, 257, 16, 71, 7251, 3794, 995, 45865, 2423, 1668, 24976, 71], "avg_logprob": -0.2056656472566651, "compression_ratio": 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يبقى R من المرات يبقى أصبح الأن ال order اللي جيه بده يساوي ال R في ال order ال H لأن عددهم R", "tokens": [1211, 33456, 6225, 3215, 3215, 16095, 497, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 20449, 8315, 47395, 497, 1413, 7251, 3555, 4587, 7578, 497, 9154, 9673, 2288, 9307, 7251, 3555, 4587, 7578, 5551, 9381, 49628, 16247, 1863, 2423, 1668, 13672, 1829, 10874, 1829, 3224, 47525, 3224, 7251, 3794, 995, 45865, 2423, 497, 8978, 2423, 1668, 2423, 389, 5296, 33456, 6225, 3215, 3215, 16095, 497], "avg_logprob": -0.20442708536530985, "compression_ratio": 1.5492957746478873, "no_speech_prob": 0.0, "words": [{"start": 1657.38, "end": 1658.06, "word": "لأن", "probability": 0.463714599609375}, {"start": 1658.06, "end": 1658.7, "word": " عددهم", "probability": 0.8896484375}, {"start": 1658.7, "end": 1659.06, "word": " R", "probability": 0.56298828125}, {"start": 1659.06, "end": 1660.02, "word": " يبقى", "probability": 0.8408203125}, {"start": 1660.02, "end": 1660.44, "word": " هذا", 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"temperature": 1.0}, {"id": 85, "seek": 204143, "start": 2018.91, "end": 2041.43, "text": "سؤال مرة تانية السؤال بيقول احنا عندنا GS4 اللى فيها اربعة وعشرين عنصر اخدنا منها subgroup H مين هي ال subgroup هذا ال subgroup اللى تتولد بال permutation اللى عندنا جداش ال index تبع ال H in S4", "tokens": [3794, 33604, 6027, 3714, 25720, 6055, 7649, 10632, 21136, 33604, 6027, 4724, 1829, 39648, 1975, 5016, 8315, 43242, 8315, 32047, 19, 13672, 7578, 8978, 11296, 1975, 25513, 27884, 4032, 3615, 46309, 9957, 18871, 9381, 2288, 1975, 9778, 3215, 8315, 9154, 11296, 1422, 17377, 389, 3714, 9957, 39896, 2423, 1422, 17377, 23758, 2423, 1422, 17377, 13672, 7578, 6055, 2655, 12610, 3215, 20666, 4784, 11380, 13672, 7578, 43242, 8315, 10874, 3215, 33599, 2423, 8186, 6055, 3555, 3615, 2423, 389, 294, 318, 19], "avg_logprob": -0.23148148148148148, "compression_ratio": 1.6063829787234043, "no_speech_prob": 0.0, "words": [{"start": 2018.91, "end": 2019.45, "word": "سؤال", "probability": 0.89501953125}, 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عارفه لكن لازم تعرفه إذا بدي أبدأ أضرب هذه في نفسي مرة ما طلعش ال identity كمان مرة ما طلعش لغاية ما يطلع من ال identity وبالتالي بيكون الأس اللي عندي هو من ال order تبع ال group هذه وجهة نظر قديمة", "tokens": [2304, 8592, 6225, 9640, 5172, 3224, 44381, 5296, 31377, 2304, 37279, 28480, 3224, 11933, 15730, 4724, 16254, 5551, 44510, 10721, 5551, 11242, 25513, 29538, 8978, 8717, 36178, 1829, 3714, 25720, 19446, 23032, 1211, 3615, 8592, 2423, 6575, 9122, 2304, 7649, 3714, 25720, 19446, 23032, 1211, 3615, 8592, 5296, 17082, 995, 10632, 19446, 7251, 9566, 1211, 3615, 9154, 2423, 6575, 46599, 6027, 2655, 6027, 1829, 4724, 1829, 30544, 16247, 3794, 13672, 1829, 18871, 16254, 31439, 9154, 2423, 1668, 6055, 3555, 3615, 2423, 1594, 29538, 49610, 3224, 3660, 8717, 19913, 2288, 12174, 16254, 46007], "avg_logprob": -0.20732526176719254, "compression_ratio": 1.7202072538860103, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2056.94, "end": 2057.28, "word": "مش", "probability": 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0.9462890625}, {"start": 2163.16, "end": 2163.54, "word": " هو", "probability": 0.97802734375}, {"start": 2163.54, "end": 2164.06, "word": " أربعة", "probability": 0.6614583333333334}], "temperature": 1.0}, {"id": 92, "seek": 218552, "start": 2164.66, "end": 2185.52, "text": "هذا سيعطيني ان ال order ل H هو order ل alpha اربعة ليش؟ لان H هى الـcyclic subgroup generated by ال permutation alpha اللى عندنا يبقى اثار ال order ل alpha هو order ل H", "tokens": [3224, 15730, 8608, 40228, 9566, 1829, 22653, 16472, 2423, 1668, 5296, 389, 31439, 1668, 5296, 8961, 1975, 25513, 27884, 32239, 8592, 22807, 5296, 7649, 389, 8032, 7578, 2423, 39184, 1344, 66, 1050, 1422, 17377, 10833, 538, 2423, 4784, 11380, 8961, 13672, 7578, 43242, 8315, 7251, 3555, 4587, 7578, 1975, 12984, 9640, 2423, 1668, 5296, 8961, 31439, 1668, 5296, 389], "avg_logprob": -0.5718750268220901, "compression_ratio": 1.425, "no_speech_prob": 0.0, "words": [{"start": 2164.66, "end": 2165.18, "word": "هذا", "probability": 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{"start": 2174.3, "end": 2174.86, "word": " لان", "probability": 0.72021484375}, {"start": 2174.86, "end": 2175.42, "word": " H", "probability": 0.5546875}, {"start": 2175.42, "end": 2176.06, "word": " هى", "probability": 0.3741455078125}, {"start": 2176.06, "end": 2176.9, "word": " الـcyclic", "probability": 0.591015625}, {"start": 2176.9, "end": 2177.62, "word": " subgroup", "probability": 0.729736328125}, {"start": 2177.62, "end": 2178.64, "word": " generated", "probability": 0.35302734375}, {"start": 2178.64, "end": 2179.62, "word": " by", "probability": 0.6357421875}, {"start": 2179.62, "end": 2179.82, "word": " ال", "probability": 0.6103515625}, {"start": 2179.82, "end": 2180.72, "word": " permutation", "probability": 0.939208984375}, {"start": 2180.72, "end": 2181.22, "word": " alpha", "probability": 0.436767578125}, {"start": 2181.22, "end": 2181.44, "word": " اللى", "probability": 0.7225341796875}, {"start": 2181.44, "end": 2181.84, "word": " عندنا", "probability": 0.9443359375}, {"start": 2181.84, "end": 2182.52, "word": " يبقى", "probability": 0.77716064453125}, {"start": 2182.52, "end": 2182.8, "word": " اثار", "probability": 0.5544026692708334}, {"start": 2182.8, "end": 2182.94, "word": " ال", "probability": 0.91162109375}, {"start": 2182.94, "end": 2183.26, "word": " order", "probability": 0.9609375}, {"start": 2183.26, "end": 2183.44, "word": " ل", "probability": 0.96484375}, {"start": 2183.44, "end": 2183.78, "word": " alpha", "probability": 0.84228515625}, {"start": 2183.78, "end": 2184.1, "word": " هو", "probability": 0.97216796875}, {"start": 2184.1, "end": 2184.74, "word": " order", "probability": 0.57373046875}, {"start": 2184.74, "end": 2185.26, "word": " ل", "probability": 0.91552734375}, {"start": 2185.26, "end": 2185.52, "word": " H", "probability": 0.89306640625}], "temperature": 1.0}, {"id": 93, "seek": 221019, "start": 2185.83, "end": 2210.19, "text": "ما دام هيكي بقى صارت قصتنا بسيطة قال لي هاتلي ال index بقوله الآن ال index ل ال subgroup H في ال group S4 يساوي ال order لل S4 على ال order لل H ال order لل S4 اللي هو أربعة factorial وهذه أربعة", "tokens": [15042, 11778, 10943, 39896, 4117, 1829, 4724, 4587, 7578, 20328, 9640, 2655, 12174, 9381, 2655, 8315, 4724, 3794, 1829, 9566, 3660, 50239, 32239, 8032, 9307, 20292, 2423, 8186, 4724, 39648, 3224, 6024, 48506, 2423, 8186, 5296, 2423, 1422, 17377, 389, 8978, 2423, 1594, 318, 19, 7251, 3794, 995, 45865, 2423, 1668, 24976, 318, 19, 15844, 2423, 1668, 24976, 389, 2423, 1668, 24976, 318, 19, 13672, 1829, 31439, 5551, 25513, 27884, 36916, 37037, 24192, 5551, 25513, 27884], "avg_logprob": -0.23478084570401675, "compression_ratio": 1.6201117318435754, "no_speech_prob": 0.0, "words": [{"start": 2185.83, "end": 2186.11, "word": "ما", "probability": 0.11773681640625}, {"start": 2186.11, "end": 2186.51, "word": " دام", "probability": 0.8623046875}, {"start": 2186.51, "end": 2187.09, "word": " هيكي", "probability": 0.6018880208333334}, {"start": 2187.09, "end": 2187.33, "word": " بقى", "probability": 0.5227864583333334}, {"start": 2187.33, "end": 2187.63, "word": " صارت", "probability": 0.7561848958333334}, {"start": 2187.63, "end": 2188.21, "word": " قصتنا", "probability": 0.9879150390625}, {"start": 2188.21, "end": 2188.91, "word": " بسيطة", "probability": 0.987890625}, {"start": 2188.91, "end": 2189.63, "word": " قال", "probability": 0.7255859375}, {"start": 2189.63, "end": 2189.79, "word": " لي", "probability": 0.403076171875}, {"start": 2189.79, "end": 2190.21, "word": " هاتلي", "probability": 0.8053385416666666}, {"start": 2190.21, "end": 2190.41, "word": " ال", "probability": 0.9755859375}, {"start": 2190.41, "end": 2190.93, "word": " index", "probability": 0.84228515625}, {"start": 2190.93, "end": 2191.99, "word": " بقوله", "probability": 0.8230794270833334}, {"start": 2191.99, "end": 2192.59, "word": " الآن", "probability": 0.6787109375}, {"start": 2192.59, "end": 2192.95, "word": " ال", "probability": 0.97412109375}, {"start": 2192.95, "end": 2193.77, "word": " index", "probability": 0.9482421875}, {"start": 2193.77, "end": 2194.43, "word": " ل", "probability": 0.79833984375}, {"start": 2194.43, "end": 2194.93, "word": " ال", "probability": 0.499267578125}, {"start": 2194.93, "end": 2195.71, "word": " subgroup", "probability": 0.67529296875}, {"start": 2195.71, "end": 2196.21, "word": " H", "probability": 0.76416015625}, {"start": 2196.21, "end": 2196.95, "word": " في", "probability": 0.9462890625}, {"start": 2196.95, "end": 2197.35, "word": " ال", "probability": 0.8037109375}, {"start": 2197.35, "end": 2197.85, "word": " group", "probability": 0.9716796875}, {"start": 2197.85, "end": 2198.81, "word": " S4", "probability": 0.953369140625}, {"start": 2198.81, "end": 2199.95, "word": " يساوي", "probability": 0.8648681640625}, {"start": 2199.95, "end": 2200.15, "word": " ال", "probability": 0.96923828125}, {"start": 2200.15, "end": 2200.65, "word": " order", "probability": 0.978515625}, {"start": 2200.65, "end": 2201.03, "word": " لل", "probability": 0.8037109375}, {"start": 2201.03, "end": 2201.89, "word": " S4", "probability": 0.96875}, {"start": 2201.89, "end": 2202.63, "word": " على", "probability": 0.74609375}, {"start": 2202.63, "end": 2202.91, "word": " ال", "probability": 0.97314453125}, {"start": 2202.91, "end": 2203.45, "word": " order", "probability": 0.9658203125}, {"start": 2203.45, "end": 2203.83, "word": " لل", "probability": 0.90087890625}, {"start": 2203.83, "end": 2204.15, "word": " H", "probability": 0.7509765625}, {"start": 2204.15, "end": 2204.75, "word": " ال", "probability": 0.8994140625}, {"start": 2204.75, "end": 2205.19, "word": " order", "probability": 0.970703125}, {"start": 2205.19, "end": 2205.47, "word": " لل", "probability": 0.859375}, {"start": 2205.47, "end": 2206.25, "word": " S4", "probability": 0.986083984375}, {"start": 2206.25, "end": 2206.47, "word": " اللي", "probability": 0.87890625}, {"start": 2206.47, "end": 2206.71, "word": " هو", "probability": 0.97802734375}, {"start": 2206.71, "end": 2207.43, "word": " أربعة", "probability": 0.7919921875}, {"start": 2207.43, "end": 2208.37, "word": " factorial", "probability": 0.76220703125}, {"start": 2208.37, "end": 2209.53, "word": " وهذه", "probability": 0.65673828125}, {"start": 2209.53, "end": 2210.19, "word": " أربعة", "probability": 0.9446614583333334}], "temperature": 1.0}, {"id": 94, "seek": 222646, "start": 2210.44, "end": 2226.46, "text": "يبقى هذه بنقول أربعة في تلاتة factorial على أربعة يبقى تلاتة factorial تلاتة factorial يسوى كده؟ يسوى ستة", "tokens": [1829, 3555, 4587, 7578, 29538, 44945, 39648, 5551, 25513, 27884, 8978, 6055, 1211, 9307, 3660, 36916, 15844, 5551, 25513, 27884, 7251, 3555, 4587, 7578, 6055, 1211, 9307, 3660, 36916, 6055, 1211, 9307, 3660, 36916, 7251, 3794, 2407, 7578, 9122, 3215, 3224, 22807, 7251, 3794, 2407, 7578, 8608, 2655, 3660], "avg_logprob": -0.19140625, "compression_ratio": 1.5660377358490567, "no_speech_prob": 0.0, "words": [{"start": 2210.44, "end": 2211.12, "word": "يبقى", "probability": 0.885498046875}, {"start": 2211.12, "end": 2211.4, "word": " هذه", "probability": 0.431640625}, {"start": 2211.4, "end": 2212.86, "word": " بنقول", "probability": 0.716796875}, {"start": 2212.86, "end": 2214.02, "word": " أربعة", "probability": 0.767333984375}, {"start": 2214.02, "end": 2215.18, "word": " في", "probability": 0.87890625}, {"start": 2215.18, "end": 2217.34, "word": " تلاتة", "probability": 0.8695068359375}, {"start": 2217.34, "end": 2218.1, "word": " factorial", "probability": 0.609375}, {"start": 2218.1, "end": 2218.98, "word": " على", "probability": 0.62841796875}, {"start": 2218.98, "end": 2219.82, "word": " أربعة", "probability": 0.9361979166666666}, {"start": 2219.82, "end": 2220.68, "word": " يبقى", "probability": 0.9573974609375}, {"start": 2220.68, "end": 2221.36, "word": " تلاتة", "probability": 0.9842529296875}, {"start": 2221.36, "end": 2222.26, "word": " factorial", "probability": 0.85791015625}, {"start": 2222.26, "end": 2223.18, "word": " تلاتة", "probability": 0.876220703125}, {"start": 2223.18, "end": 2223.82, "word": " factorial", "probability": 0.8173828125}, {"start": 2223.82, "end": 2224.46, "word": " يسوى", "probability": 0.8427734375}, {"start": 2224.46, "end": 2225.2, "word": " كده؟", "probability": 0.6728515625}, {"start": 2225.2, "end": 2225.88, "word": " يسوى", "probability": 0.9290771484375}, {"start": 2225.88, "end": 2226.46, "word": " ستة", "probability": 0.94970703125}], "temperature": 1.0}, {"id": 95, "seek": 225614, "start": 2226.62, "end": 2256.14, "text": "إذاً ال index تبع ال subgroup اللي عندنا هذه في ال group G الأصلية هو عبارة عن ستة، إيش يعني ستة؟ يعني أنا ضمنت عدد ال left destined cosets لل S4 لما نضربهم في ال .. لما ينضربوا في ال permutation اللي في ال .. في ال H اللي عند ال subgroup بطلع عندى بس ستة left destined cosets", "tokens": [28814, 15730, 14111, 2423, 8186, 6055, 3555, 3615, 2423, 1422, 17377, 13672, 1829, 43242, 8315, 29538, 8978, 2423, 1594, 460, 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{"start": 2228.76, "end": 2228.96, "word": " ال", "probability": 0.763671875}, {"start": 2228.96, "end": 2229.58, "word": " subgroup", "probability": 0.68359375}, {"start": 2229.58, "end": 2229.86, "word": " اللي", "probability": 0.867431640625}, {"start": 2229.86, "end": 2230.36, "word": " عندنا", "probability": 0.983642578125}, {"start": 2230.36, "end": 2230.84, "word": " هذه", "probability": 0.452880859375}, {"start": 2230.84, "end": 2231.46, "word": " في", "probability": 0.8251953125}, {"start": 2231.46, "end": 2231.68, "word": " ال", "probability": 0.68408203125}, {"start": 2231.68, "end": 2232.18, "word": " group", "probability": 0.97021484375}, {"start": 2232.18, "end": 2232.84, "word": " G", "probability": 0.58447265625}, {"start": 2232.84, "end": 2233.84, "word": " الأصلية", "probability": 0.760009765625}, {"start": 2233.84, "end": 2234.52, "word": " هو", "probability": 0.87939453125}, {"start": 2234.52, "end": 2235.1, "word": " عبارة", "probability": 0.9901123046875}, {"start": 2235.1, "end": 2235.44, "word": " عن", "probability": 0.9912109375}, {"start": 2235.44, "end": 2235.92, "word": " ستة،", "probability": 0.70306396484375}, {"start": 2235.92, "end": 2236.14, "word": " إيش", "probability": 0.7808430989583334}, {"start": 2236.14, "end": 2236.4, "word": " يعني", "probability": 0.826416015625}, {"start": 2236.4, "end": 2237.5, "word": " ستة؟", "probability": 0.947021484375}, {"start": 2237.5, "end": 2238.0, "word": " يعني", "probability": 0.9619140625}, {"start": 2238.0, "end": 2238.48, "word": " أنا", "probability": 0.329345703125}, {"start": 2238.48, "end": 2239.5, "word": " ضمنت", "probability": 0.9427083333333334}, {"start": 2239.5, "end": 2240.1, "word": " عدد", "probability": 0.9822591145833334}, {"start": 2240.1, "end": 2240.4, "word": " ال", "probability": 0.6806640625}, {"start": 2240.4, "end": 2240.74, "word": " left", "probability": 0.78857421875}, {"start": 2240.74, "end": 2241.52, "word": " destined", "probability": 0.24365234375}, {"start": 2241.52, "end": 2242.48, "word": " cosets", "probability": 0.84814453125}, {"start": 2242.48, "end": 2243.2, "word": " لل", "probability": 0.82177734375}, {"start": 2243.2, "end": 2244.12, "word": " S4", "probability": 0.840087890625}, {"start": 2244.12, "end": 2245.2, "word": " لما", "probability": 0.848876953125}, {"start": 2245.2, "end": 2246.02, "word": " نضربهم", "probability": 0.9766845703125}, {"start": 2246.02, "end": 2246.46, "word": " في", "probability": 0.98779296875}, {"start": 2246.46, "end": 2246.98, "word": " ال", "probability": 0.72412109375}, {"start": 2246.98, "end": 2246.98, "word": " ..", "probability": 0.214599609375}, {"start": 2246.98, "end": 2247.16, "word": " لما", "probability": 0.923583984375}, {"start": 2247.16, "end": 2247.8, "word": " ينضربوا", "probability": 0.85517578125}, {"start": 2247.8, "end": 2247.94, "word": " في", "probability": 0.96826171875}, {"start": 2247.94, "end": 2248.08, "word": " ال", "probability": 0.9775390625}, {"start": 2248.08, "end": 2248.74, "word": " permutation", "probability": 0.897216796875}, {"start": 2248.74, "end": 2249.06, "word": " اللي", "probability": 0.80126953125}, {"start": 2249.06, "end": 2249.36, "word": " في", "probability": 0.7607421875}, {"start": 2249.36, "end": 2249.86, "word": " ال", "probability": 0.98974609375}, {"start": 2249.86, "end": 2249.86, "word": " ..", "probability": 0.6474609375}, {"start": 2249.86, "end": 2250.12, "word": " في", "probability": 0.9423828125}, {"start": 2250.12, "end": 2250.3, "word": " ال", "probability": 0.99169921875}, {"start": 2250.3, "end": 2250.56, "word": " H", "probability": 0.80078125}, {"start": 2250.56, "end": 2250.78, "word": " اللي", "probability": 0.986328125}, {"start": 2250.78, "end": 2250.98, "word": " عند", "probability": 0.96533203125}, {"start": 2250.98, "end": 2251.14, "word": " ال", "probability": 0.416259765625}, {"start": 2251.14, "end": 2251.7, "word": " subgroup", "probability": 0.964599609375}, {"start": 2251.7, "end": 2252.38, "word": " بطلع", "probability": 0.75653076171875}, {"start": 2252.38, "end": 2252.6, "word": " عندى", "probability": 0.6806640625}, {"start": 2252.6, "end": 2252.98, "word": " بس", "probability": 0.893798828125}, {"start": 2252.98, "end": 2253.76, "word": " ستة", "probability": 0.8050130208333334}, {"start": 2253.76, "end": 2254.14, "word": " left", "probability": 0.84814453125}, {"start": 2254.14, "end": 2255.38, "word": " destined", "probability": 0.791015625}, {"start": 2255.38, "end": 2256.14, "word": " cosets", "probability": 0.986328125}], "temperature": 1.0}, {"id": 96, "seek": 228346, "start": 2256.45, "end": 2283.47, "text": "يعني معناه كل أربعة هيتساووا عشان يطلع عندى ستة صح ولا لا يعني كل أربعة left cosets هيطلعوا نفس الشيء وبالتالي ضمنت عدد ال left cosets يساوي ستة كان بيمكني أصيغ نفس السؤال و بدل ما اقول هاتل ال index اقول find the number of left cosets of H in S4 واسكت", "tokens": [40228, 22653, 20449, 8315, 3224, 28242, 5551, 25513, 27884, 39896, 2655, 3794, 995, 2407, 14407, 6225, 8592, 7649, 7251, 9566, 1211, 3615, 43242, 7578, 8608, 2655, 3660, 20328, 5016, 49429, 20193, 37495, 22653, 28242, 5551, 25513, 27884, 1411, 3792, 1385, 39896, 9566, 1211, 3615, 14407, 8717, 36178, 25124, 1829, 38207, 46599, 6027, 2655, 6027, 1829, 48812, 27842, 2655, 6225, 3215, 3215, 2423, 1411, 3792, 1385, 7251, 3794, 995, 45865, 8608, 2655, 3660, 25961, 4724, 32640, 19452, 1829, 5551, 9381, 1829, 17082, 8717, 36178, 21136, 33604, 6027, 4032, 47525, 1211, 19446, 1975, 39648, 8032, 9307, 1211, 2423, 8186, 1975, 39648, 915, 264, 1230, 295, 1411, 3792, 1385, 295, 389, 294, 318, 19, 4032, 32277, 4117, 2655], "avg_logprob": -0.21888470148731923, "compression_ratio": 1.6995708154506437, "no_speech_prob": 0.0, "words": [{"start": 2256.45, "end": 2256.87, "word": "يعني", "probability": 0.85791015625}, {"start": 2256.87, "end": 2257.27, "word": " معناه", "probability": 0.7345377604166666}, {"start": 2257.27, "end": 2257.59, "word": " كل", "probability": 0.61572265625}, {"start": 2257.59, "end": 2259.45, "word": " أربعة", "probability": 0.692626953125}, {"start": 2259.45, "end": 2260.77, "word": " هيتساووا", "probability": 0.7123209635416666}, {"start": 2260.77, "end": 2261.33, "word": " عشان", "probability": 0.7242431640625}, {"start": 2261.33, "end": 2261.65, "word": " يطلع", "probability": 0.9117431640625}, {"start": 2261.65, "end": 2261.93, "word": " عندى", "probability": 0.73583984375}, {"start": 2261.93, "end": 2262.37, "word": " ستة", "probability": 0.9208984375}, {"start": 2262.37, "end": 2262.65, "word": " صح", "probability": 0.750732421875}, {"start": 2262.65, "end": 2262.83, "word": " ولا", "probability": 0.919921875}, {"start": 2262.83, "end": 2263.09, "word": " لا", "probability": 0.724609375}, {"start": 2263.09, "end": 2263.67, "word": " يعني", "probability": 0.8369140625}, {"start": 2263.67, "end": 2264.15, "word": " كل", "probability": 0.9658203125}, {"start": 2264.15, "end": 2264.93, "word": " أربعة", "probability": 0.9173177083333334}, {"start": 2264.93, "end": 2265.17, "word": " left", "probability": 0.42822265625}, {"start": 2265.17, "end": 2265.77, "word": " cosets", "probability": 0.849853515625}, {"start": 2265.77, "end": 2266.59, "word": " هيطلعوا", "probability": 0.93203125}, {"start": 2266.59, "end": 2267.01, "word": " نفس", "probability": 0.997314453125}, {"start": 2267.01, "end": 2267.95, "word": " الشيء", "probability": 0.8697916666666666}, {"start": 2267.95, "end": 2268.71, "word": " وبالتالي", "probability": 0.93740234375}, {"start": 2268.71, "end": 2269.39, "word": " ضمنت", "probability": 0.9571940104166666}, {"start": 2269.39, "end": 2269.85, "word": " عدد", "probability": 0.9689127604166666}, {"start": 2269.85, "end": 2269.99, "word": " ال", "probability": 0.60791015625}, {"start": 2269.99, "end": 2270.21, "word": " left", "probability": 0.759765625}, {"start": 2270.21, "end": 2270.81, "word": " cosets", "probability": 0.98095703125}, {"start": 2270.81, "end": 2271.39, "word": " يساوي", "probability": 0.9149169921875}, {"start": 2271.39, "end": 2271.93, "word": " ستة", "probability": 0.978515625}, {"start": 2271.93, "end": 2272.53, "word": " كان", "probability": 0.8583984375}, {"start": 2272.53, "end": 2273.29, "word": " بيمكني", "probability": 0.8631591796875}, {"start": 2273.29, "end": 2273.75, "word": " أصيغ", "probability": 0.7708740234375}, {"start": 2273.75, "end": 2274.03, "word": " نفس", "probability": 0.991943359375}, {"start": 2274.03, "end": 2274.43, "word": " السؤال", "probability": 0.9567057291666666}, {"start": 2274.43, "end": 2274.55, "word": " و", "probability": 0.6181640625}, {"start": 2274.55, "end": 2274.85, "word": " بدل", "probability": 0.752685546875}, {"start": 2274.85, "end": 2275.01, "word": " ما", "probability": 0.79296875}, {"start": 2275.01, "end": 2275.39, "word": " اقول", "probability": 0.68603515625}, {"start": 2275.39, "end": 2276.19, "word": " هاتل", "probability": 0.5745442708333334}, {"start": 2276.19, "end": 2276.37, "word": " ال", "probability": 0.9599609375}, {"start": 2276.37, "end": 2276.81, "word": " index", "probability": 0.87548828125}, {"start": 2276.81, "end": 2277.29, "word": " اقول", "probability": 0.8125}, {"start": 2277.29, "end": 2277.97, "word": " find", "probability": 0.7333984375}, {"start": 2277.97, "end": 2278.51, "word": " the", "probability": 0.8427734375}, {"start": 2278.51, "end": 2278.91, "word": " number", "probability": 0.931640625}, {"start": 2278.91, "end": 2279.31, "word": " of", "probability": 0.97607421875}, {"start": 2279.31, "end": 2279.59, "word": " left", "probability": 0.94580078125}, {"start": 2279.59, "end": 2280.35, "word": " cosets", "probability": 0.986083984375}, {"start": 2280.35, "end": 2280.91, "word": " of", "probability": 0.93310546875}, {"start": 2280.91, "end": 2281.39, "word": " H", "probability": 0.59521484375}, {"start": 2281.39, "end": 2282.05, "word": " in", "probability": 0.2333984375}, {"start": 2282.05, "end": 2282.95, "word": " S4", "probability": 0.862548828125}, {"start": 2282.95, "end": 2283.47, "word": " واسكت", "probability": 0.774658203125}], "temperature": 1.0}, {"id": 97, "seek": 230703, "start": 2283.93, "end": 2307.03, "text": "مش هو نفس السؤال نفس السؤال حرفية لكن قعدت صيغته بطريقة اخرى نعطي مثال اخر كمان example ال example يا شباب هذا سؤال 14 من الكتاب بقول suppose that", "tokens": [2304, 8592, 31439, 8717, 36178, 21136, 33604, 6027, 8717, 36178, 21136, 33604, 6027, 11331, 28480, 10632, 44381, 12174, 22488, 2655, 20328, 1829, 17082, 47395, 4724, 9566, 16572, 28671, 1975, 34740, 7578, 8717, 3615, 9566, 1829, 50113, 6027, 1975, 34740, 9122, 2304, 7649, 1365, 2423, 1365, 35186, 13412, 3555, 16758, 23758, 8608, 33604, 6027, 3499, 9154, 33251, 2655, 16758, 4724, 39648, 7297, 300], "avg_logprob": -0.1882440514034695, "compression_ratio": 1.462962962962963, "no_speech_prob": 0.0, "words": [{"start": 2283.93, "end": 2284.13, "word": "مش", "probability": 0.508544921875}, {"start": 2284.13, "end": 2284.29, "word": " هو", "probability": 0.78955078125}, {"start": 2284.29, "end": 2284.49, "word": " نفس", "probability": 0.98974609375}, {"start": 2284.49, "end": 2285.03, "word": " السؤال", "probability": 0.9928385416666666}, {"start": 2285.03, "end": 2285.97, "word": " نفس", "probability": 0.63037109375}, {"start": 2285.97, "end": 2286.55, "word": " السؤال", "probability": 0.9899088541666666}, {"start": 2286.55, "end": 2287.11, "word": " حرفية", "probability": 0.9352213541666666}, {"start": 2287.11, "end": 2287.43, "word": " لكن", "probability": 0.8935546875}, {"start": 2287.43, "end": 2287.97, "word": " قعدت", "probability": 0.6560872395833334}, {"start": 2287.97, "end": 2288.35, "word": " صيغته", "probability": 0.84765625}, {"start": 2288.35, "end": 2290.31, "word": " بطريقة", "probability": 0.9775390625}, {"start": 2290.31, "end": 2291.19, "word": " اخرى", "probability": 0.8359375}, {"start": 2291.19, "end": 2291.99, "word": " نعطي", "probability": 0.8695068359375}, {"start": 2291.99, "end": 2292.49, "word": " مثال", "probability": 0.989501953125}, {"start": 2292.49, "end": 2293.73, "word": " اخر", "probability": 0.833251953125}, {"start": 2293.73, "end": 2295.79, "word": " كمان", "probability": 0.7945963541666666}, {"start": 2295.79, "end": 2296.51, "word": " example", "probability": 0.8525390625}, {"start": 2296.51, "end": 2300.27, "word": " ال", "probability": 0.5654296875}, {"start": 2300.27, "end": 2300.69, "word": " example", "probability": 0.9345703125}, {"start": 2300.69, "end": 2300.89, "word": " يا", "probability": 0.931640625}, {"start": 2300.89, "end": 2301.21, "word": " شباب", "probability": 0.9803059895833334}, {"start": 2301.21, "end": 2301.49, "word": " هذا", "probability": 0.861328125}, {"start": 2301.49, "end": 2302.29, "word": " سؤال", "probability": 0.9705403645833334}, {"start": 2302.29, "end": 2302.81, "word": " 14", "probability": 0.293212890625}, {"start": 2302.81, "end": 2303.61, "word": " من", "probability": 0.98388671875}, {"start": 2303.61, "end": 2304.69, "word": " الكتاب", "probability": 0.98486328125}, {"start": 2304.69, "end": 2306.01, "word": " بقول", "probability": 0.7412109375}, {"start": 2306.01, "end": 2306.37, "word": " suppose", "probability": 0.6591796875}, {"start": 2306.37, "end": 2307.03, "word": " that", "probability": 0.9521484375}], "temperature": 1.0}, {"id": 98, "seek": 233638, "start": 2310.1, "end": 2336.38, "text": "suppose that افترض ان الـ K is a proper subgroup of H and الـ H is a proper subgroup", "tokens": [36622, 541, 300, 1975, 5172, 2655, 43042, 16472, 2423, 39184, 591, 307, 257, 2296, 1422, 17377, 295, 389, 293, 2423, 39184, 389, 307, 257, 2296, 1422, 17377], "avg_logprob": -0.30803571747882025, "compression_ratio": 1.2597402597402598, "no_speech_prob": 0.0, "words": [{"start": 2310.1, "end": 2311.0, "word": "suppose", "probability": 0.5740966796875}, {"start": 2311.0, "end": 2311.52, "word": " that", "probability": 0.6650390625}, {"start": 2311.52, "end": 2312.28, "word": " افترض", "probability": 0.8680419921875}, {"start": 2312.28, "end": 2312.68, "word": " ان", "probability": 0.873046875}, {"start": 2312.68, "end": 2314.36, "word": " الـ", "probability": 0.38330078125}, {"start": 2314.36, "end": 2314.72, "word": " K", "probability": 0.5029296875}, {"start": 2314.72, "end": 2315.92, "word": " is", "probability": 0.320556640625}, {"start": 2315.92, "end": 2317.16, "word": " a", "probability": 0.890625}, {"start": 2317.16, "end": 2318.08, "word": " proper", "probability": 0.8828125}, {"start": 2318.08, "end": 2320.9, "word": " subgroup", "probability": 0.829345703125}, {"start": 2320.9, "end": 2324.54, "word": " of", "probability": 0.935546875}, {"start": 2324.54, "end": 2325.54, "word": " H", "probability": 0.93994140625}, {"start": 2325.54, "end": 2328.72, "word": " and", "probability": 0.6982421875}, {"start": 2328.72, "end": 2331.06, "word": " الـ", "probability": 0.87109375}, {"start": 2331.06, "end": 2331.46, "word": " H", "probability": 0.8681640625}, {"start": 2331.46, "end": 2332.26, "word": " is", "probability": 0.89794921875}, {"start": 2332.26, "end": 2333.18, "word": " a", "probability": 0.97607421875}, {"start": 2333.18, "end": 2334.02, "word": " proper", "probability": 0.9091796875}, {"start": 2334.02, "end": 2336.38, "word": " subgroup", "probability": 0.97607421875}], "temperature": 1.0}, {"id": 99, "seek": 236315, "start": 2339.01, "end": 2363.15, "text": "of G if ال order لل K هو اتنين واربعين and ال order لل G هو اربع مية وعشرين what", "tokens": [2670, 460, 498, 2423, 1668, 24976, 591, 31439, 1975, 2655, 1863, 9957, 4032, 9640, 3555, 3615, 9957, 293, 2423, 1668, 24976, 460, 31439, 1975, 25513, 3615, 3714, 10632, 4032, 3615, 46309, 9957, 437], "avg_logprob": -0.2681525708997951, "compression_ratio": 1.2857142857142858, "no_speech_prob": 0.0, "words": [{"start": 2339.01, "end": 2339.65, "word": "of", "probability": 0.42236328125}, {"start": 2339.65, "end": 2340.81, "word": " G", "probability": 0.390869140625}, {"start": 2340.81, "end": 2344.15, "word": " if", "probability": 0.57373046875}, {"start": 2344.15, "end": 2346.41, "word": " ال", "probability": 0.88818359375}, {"start": 2346.41, "end": 2347.01, "word": " order", "probability": 0.74755859375}, {"start": 2347.01, "end": 2348.27, "word": " لل", "probability": 0.43798828125}, {"start": 2348.27, "end": 2348.79, "word": " K", "probability": 0.685546875}, {"start": 2348.79, "end": 2349.39, "word": " هو", "probability": 0.958984375}, {"start": 2349.39, "end": 2349.99, "word": " اتنين", "probability": 0.8804931640625}, {"start": 2349.99, "end": 2351.07, "word": " واربعين", "probability": 0.905078125}, {"start": 2351.07, "end": 2352.67, "word": " and", "probability": 0.77099609375}, {"start": 2352.67, "end": 2355.17, "word": " ال", "probability": 0.76220703125}, {"start": 2355.17, "end": 2355.85, "word": " order", "probability": 0.974609375}, {"start": 2355.85, "end": 2357.59, "word": " لل", "probability": 0.9443359375}, {"start": 2357.59, "end": 2358.05, "word": " G", "probability": 0.9619140625}, {"start": 2358.05, "end": 2358.77, "word": " هو", "probability": 0.9609375}, {"start": 2358.77, "end": 2359.45, "word": " اربع", "probability": 0.7581380208333334}, {"start": 2359.45, "end": 2359.85, "word": " مية", "probability": 0.80615234375}, {"start": 2359.85, "end": 2360.89, "word": " وعشرين", "probability": 0.878173828125}, {"start": 2360.89, "end": 2363.15, "word": " what", "probability": 0.2744140625}], "temperature": 1.0}, {"id": 100, "seek": 237719, "start": 2364.41, "end": 2377.19, "text": "are the possible orders of H", "tokens": [543, 264, 1944, 9470, 295, 389], "avg_logprob": -0.3482142857142857, "compression_ratio": 0.7777777777777778, "no_speech_prob": 0.0, "words": [{"start": 2364.41, "end": 2365.17, "word": "are", "probability": 0.2137451171875}, {"start": 2365.17, "end": 2367.15, "word": " the", "probability": 0.8642578125}, {"start": 2367.15, "end": 2368.21, "word": " possible", "probability": 0.96923828125}, {"start": 2368.21, "end": 2368.99, "word": " orders", "probability": 0.9091796875}, {"start": 2368.99, "end": 2375.73, "word": " of", "probability": 0.64208984375}, {"start": 2375.73, "end": 2377.19, "word": " H", "probability": 0.927734375}], "temperature": 1.0}, {"id": 101, "seek": 243175, "start": 2406.27, "end": 2431.75, "text": "مرة تانية انا عندي K proper subgroup من H ايش يعني proper subgroup؟ لأ تساوي H subset منها لكن لا تساويها وعندي في نفس الوقت ال H proper subgroup من G يعني K subgroup من H و ال H subgroup من G وكل واحدة فيهم عبارة عن ال proper يعني لا تساوي الجروب التاني", "tokens": [2304, 25720, 6055, 7649, 10632, 1975, 8315, 18871, 16254, 591, 2296, 1422, 17377, 9154, 389, 1975, 1829, 8592, 37495, 22653, 2296, 1422, 17377, 22807, 5296, 10721, 6055, 3794, 995, 45865, 389, 25993, 9154, 11296, 44381, 20193, 6055, 3794, 995, 45865, 11296, 4032, 3615, 1863, 16254, 8978, 8717, 36178, 2423, 30543, 2655, 2423, 389, 2296, 1422, 17377, 9154, 460, 37495, 22653, 591, 1422, 17377, 9154, 389, 4032, 2423, 389, 1422, 17377, 9154, 460, 4032, 28820, 36764, 24401, 3660, 8978, 16095, 6225, 3555, 9640, 3660, 18871, 2423, 2296, 37495, 22653, 20193, 6055, 3794, 995, 45865, 25724, 32887, 3555, 16712, 7649, 1829], "avg_logprob": -0.2189062477648258, "compression_ratio": 1.9583333333333333, "no_speech_prob": 0.0, "words": [{"start": 2406.27, "end": 2406.69, "word": "مرة", "probability": 0.7841796875}, {"start": 2406.69, "end": 2407.13, "word": " تانية", "probability": 0.8916015625}, {"start": 2407.13, "end": 2408.25, "word": " انا", "probability": 0.7027587890625}, {"start": 2408.25, "end": 2408.67, "word": " عندي", "probability": 0.6834716796875}, {"start": 2408.67, "end": 2408.91, "word": " K", "probability": 0.283447265625}, {"start": 2408.91, "end": 2409.35, "word": " proper", "probability": 0.7314453125}, {"start": 2409.35, "end": 2410.03, "word": " subgroup", "probability": 0.744140625}, {"start": 2410.03, "end": 2410.21, "word": " من", "probability": 0.9794921875}, {"start": 2410.21, 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فيهم", "probability": 0.804443359375}, {"start": 2427.45, "end": 2427.81, "word": " عبارة", "probability": 0.84466552734375}, {"start": 2427.81, "end": 2427.97, "word": " عن", "probability": 0.99658203125}, {"start": 2427.97, "end": 2428.09, "word": " ال", "probability": 0.9765625}, {"start": 2428.09, "end": 2428.49, "word": " proper", "probability": 0.9365234375}, {"start": 2428.49, "end": 2429.27, "word": " يعني", "probability": 0.98095703125}, {"start": 2429.27, "end": 2429.55, "word": " لا", "probability": 0.71484375}, {"start": 2429.55, "end": 2430.39, "word": " تساوي", "probability": 0.984619140625}, {"start": 2430.39, "end": 2431.11, "word": " الجروب", "probability": 0.7115478515625}, {"start": 2431.11, "end": 2431.75, "word": " التاني", "probability": 0.91796875}], "temperature": 1.0}, {"id": 102, "seek": 244916, "start": 2432.38, "end": 2449.16, "text": "قال لو كان ال order ل K الأولى هو اتنين واربعين وال order ل الأخرى أربع مائة وعشرين ما هي الاحتمالات الممكنة لل order تبع ال H فنقوله ماشي يبقى هنا solution", "tokens": [4587, 6027, 45164, 25961, 2423, 1668, 5296, 591, 16247, 12610, 7578, 31439, 1975, 2655, 1863, 9957, 4032, 9640, 3555, 3615, 9957, 16070, 1668, 5296, 16247, 34740, 7578, 5551, 25513, 3615, 3714, 16373, 3660, 4032, 3615, 46309, 9957, 19446, 39896, 42963, 33753, 2304, 6027, 9307, 9673, 43020, 3660, 24976, 1668, 6055, 3555, 3615, 2423, 389, 6156, 1863, 39648, 3224, 3714, 33599, 1829, 7251, 3555, 4587, 7578, 34105, 3827], "avg_logprob": -0.3219209607033169, "compression_ratio": 1.5900621118012421, "no_speech_prob": 0.0, "words": [{"start": 2432.38, "end": 2432.82, "word": "قال", "probability": 0.54168701171875}, {"start": 2432.82, "end": 2433.08, "word": " لو", "probability": 0.546875}, {"start": 2433.08, "end": 2433.42, "word": " كان", "probability": 0.884765625}, {"start": 2433.42, "end": 2433.6, "word": " ال", "probability": 0.46435546875}, {"start": 2433.6, "end": 2434.02, "word": " order", "probability": 0.63916015625}, {"start": 2434.02, 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0.9169921875}, {"start": 2633.2, "end": 2633.6, "word": " M", "probability": 0.841796875}, {"start": 2633.6, "end": 2633.96, "word": " اللي", "probability": 0.953857421875}, {"start": 2633.96, "end": 2634.58, "word": " عندنا", "probability": 0.975341796875}, {"start": 2634.58, "end": 2634.94, "word": " هذه", "probability": 0.46923828125}, {"start": 2634.94, "end": 2636.02, "word": " ويرحلت", "probability": 0.620458984375}, {"start": 2636.02, "end": 2636.66, "word": " شيلت", "probability": 0.6932373046875}, {"start": 2636.66, "end": 2636.86, "word": " ال", "probability": 0.8857421875}, {"start": 2636.86, "end": 2637.14, "word": " M", "probability": 0.9755859375}, {"start": 2637.14, "end": 2637.4, "word": " اللي", "probability": 0.985107421875}, {"start": 2637.4, "end": 2637.82, "word": " عندنا", "probability": 0.988037109375}, {"start": 2637.82, "end": 2638.06, "word": " هذه", "probability": 0.90673828125}, {"start": 2638.06, "end": 2638.64, "word": " وكتبت", "probability": 0.9294921875}, {"start": 2638.64, "end": 2639.38, "word": " بدلها", "probability": 0.8673502604166666}, {"start": 2639.38, "end": 2640.0, "word": " S", "probability": 0.93212890625}, {"start": 2640.0, "end": 2640.24, "word": " في", "probability": 0.92724609375}, {"start": 2640.24, "end": 2641.04, "word": " اتنين", "probability": 0.9725341796875}, {"start": 2641.04, "end": 2642.06, "word": " واربعين", "probability": 0.979296875}], "temperature": 1.0}, {"id": 111, "seek": 266127, "start": 2642.55, "end": 2661.27, "text": "تمام طيب في قسم ما بين الطرفين اه يبقى لو جسمت كله على اتنين واربعين هذا بدي يعطيني R S تساوي عشرة مدام عشرة احتمال ال R بواحد وال S بعشرة", "tokens": [39237, 10943, 23032, 1829, 3555, 8978, 12174, 38251, 19446, 49374, 41950, 28480, 9957, 1975, 3224, 7251, 3555, 4587, 7578, 45164, 10874, 38251, 2655, 28242, 3224, 15844, 1975, 2655, 1863, 9957, 4032, 9640, 3555, 3615, 9957, 23758, 4724, 16254, 37495, 9566, 1829, 22653, 497, 318, 6055, 3794, 995, 45865, 6225, 8592, 25720, 3714, 3215, 10943, 6225, 8592, 25720, 1975, 33753, 2304, 6027, 2423, 497, 4724, 14407, 24401, 16070, 318, 4724, 3615, 8592, 25720], "avg_logprob": -0.24636129483784716, "compression_ratio": 1.6689655172413793, "no_speech_prob": 0.0, "words": [{"start": 2642.55, "end": 2643.11, "word": "تمام", "probability": 0.54132080078125}, {"start": 2643.11, "end": 2644.11, "word": " طيب", "probability": 0.7880045572916666}, {"start": 2644.11, "end": 2644.31, "word": " في", "probability": 0.64111328125}, {"start": 2644.31, "end": 2644.73, "word": " قسم", "probability": 0.982177734375}, {"start": 2644.73, "end": 2644.93, "word": " ما", "probability": 0.79736328125}, {"start": 2644.93, "end": 2645.19, "word": " بين", "probability": 0.9912109375}, {"start": 2645.19, "end": 2645.97, "word": " الطرفين", "probability": 0.9529622395833334}, {"start": 2645.97, "end": 2647.43, "word": " اه", "probability": 0.5526123046875}, {"start": 2647.43, "end": 2648.15, "word": " يبقى", "probability": 0.9490966796875}, {"start": 2648.15, "end": 2648.31, "word": " لو", "probability": 0.88330078125}, {"start": 2648.31, "end": 2648.85, "word": " جسمت", "probability": 0.9375}, {"start": 2648.85, "end": 2649.19, "word": " كله", "probability": 0.965576171875}, {"start": 2649.19, "end": 2649.41, "word": " على", "probability": 0.84521484375}, {"start": 2649.41, "end": 2649.85, "word": " اتنين", "probability": 0.87646484375}, {"start": 2649.85, "end": 2650.73, "word": " واربعين", "probability": 0.8984375}, {"start": 2650.73, "end": 2651.37, "word": " هذا", "probability": 0.826171875}, {"start": 2651.37, "end": 2651.77, "word": " بدي", "probability": 0.561767578125}, {"start": 2651.77, "end": 2652.43, "word": " يعطيني", "probability": 0.7506103515625}, {"start": 2652.43, "end": 2652.97, "word": " R", "probability": 0.1993408203125}, {"start": 2652.97, "end": 2653.47, "word": " S", "probability": 0.79638671875}, {"start": 2653.47, "end": 2654.09, "word": " تساوي", "probability": 0.8673095703125}, {"start": 2654.09, "end": 2656.05, "word": " عشرة", "probability": 0.7403971354166666}, {"start": 2656.05, "end": 2657.55, "word": " مدام", "probability": 0.72509765625}, {"start": 2657.55, "end": 2658.09, "word": " عشرة", "probability": 0.9444986979166666}, {"start": 2658.09, "end": 2658.91, "word": " احتمال", "probability": 0.9437255859375}, {"start": 2658.91, "end": 2659.07, "word": " ال", "probability": 0.9326171875}, {"start": 2659.07, "end": 2659.35, "word": " R", "probability": 0.7587890625}, {"start": 2659.35, "end": 2659.97, "word": " بواحد", "probability": 0.9674479166666666}, {"start": 2659.97, "end": 2660.25, "word": " وال", "probability": 0.42822265625}, {"start": 2660.25, "end": 2660.59, "word": " S", "probability": 0.83544921875}, {"start": 2660.59, "end": 2661.27, "word": " بعشرة", "probability": 0.8907470703125}], "temperature": 1.0}, {"id": 112, "seek": 269028, "start": 2662.28, "end": 2690.28, "text": "احتمال ان S بواحد وR بعشرة احتمال R بخمسة وS باتنين احتمال R باتنين وS بخمسة هي الاحتمالات الأربعة في غيرهم؟ لأ يبقى هنا so we have four possibilities four", "tokens": [995, 33753, 2304, 6027, 16472, 318, 4724, 14407, 24401, 4032, 49, 4724, 3615, 8592, 25720, 1975, 33753, 2304, 6027, 497, 4724, 9778, 2304, 3794, 3660, 4032, 50, 4724, 9307, 1863, 9957, 1975, 33753, 2304, 6027, 497, 4724, 9307, 1863, 9957, 4032, 50, 4724, 9778, 2304, 3794, 3660, 39896, 42963, 33753, 2304, 6027, 9307, 16247, 25513, 27884, 8978, 32771, 13546, 16095, 22807, 5296, 10721, 7251, 3555, 4587, 7578, 34105, 370, 321, 362, 1451, 12178, 1451], "avg_logprob": -0.22020833532015482, "compression_ratio": 1.5569620253164558, "no_speech_prob": 0.0, "words": [{"start": 2662.28, "end": 2663.32, "word": "احتمال", "probability": 0.80303955078125}, {"start": 2663.32, "end": 2664.02, "word": " ان", "probability": 0.75537109375}, {"start": 2664.02, "end": 2664.66, "word": " S", "probability": 0.495849609375}, {"start": 2664.66, "end": 2667.2, "word": " بواحد", "probability": 0.787109375}, {"start": 2667.2, "end": 2667.88, "word": " وR", "probability": 0.4906005859375}, {"start": 2667.88, "end": 2668.92, "word": " بعشرة", "probability": 0.829833984375}, {"start": 2668.92, "end": 2670.44, "word": " احتمال", "probability": 0.95849609375}, {"start": 2670.44, "end": 2670.72, "word": " R", "probability": 0.484130859375}, {"start": 2670.72, "end": 2671.46, "word": " بخمسة", "probability": 0.94306640625}, {"start": 2671.46, "end": 2671.92, "word": " وS", "probability": 0.831787109375}, {"start": 2671.92, "end": 2672.64, "word": " باتنين", "probability": 0.874267578125}, {"start": 2672.64, "end": 2673.86, "word": " احتمال", "probability": 0.96337890625}, {"start": 2673.86, "end": 2674.12, "word": " R", "probability": 0.85498046875}, {"start": 2674.12, "end": 2674.64, "word": " باتنين", "probability": 0.8421630859375}, {"start": 2674.64, "end": 2674.98, "word": " وS", "probability": 0.939208984375}, {"start": 2674.98, "end": 2675.48, "word": " بخمسة", "probability": 0.98115234375}, {"start": 2675.48, "end": 2675.66, "word": " هي", "probability": 0.32666015625}, {"start": 2675.66, "end": 2676.28, "word": " الاحتمالات", "probability": 0.8890625}, {"start": 2676.28, "end": 2676.58, "word": " الأربعة", "probability": 0.7637532552083334}, {"start": 2676.58, "end": 2676.76, "word": " في", "probability": 0.290771484375}, {"start": 2676.76, "end": 2677.94, "word": " غيرهم؟", "probability": 0.8323974609375}, {"start": 2677.94, "end": 2680.82, "word": " لأ", "probability": 0.837890625}, {"start": 2680.82, "end": 2681.56, "word": " يبقى", "probability": 0.9666748046875}, {"start": 2681.56, "end": 2682.0, "word": " هنا", "probability": 0.9931640625}, {"start": 2682.0, "end": 2682.84, "word": " so", "probability": 0.2919921875}, {"start": 2682.84, "end": 2684.24, "word": " we", "probability": 0.87451171875}, {"start": 2684.24, "end": 2685.5, "word": " have", "probability": 0.9716796875}, {"start": 2685.5, "end": 2688.04, "word": " four", "probability": 0.90478515625}, {"start": 2688.04, "end": 2688.88, "word": " possibilities", "probability": 0.89306640625}, {"start": 2688.88, "end": 2690.28, "word": " four", "probability": 0.73095703125}], "temperature": 1.0}, {"id": 113, "seek": 270785, "start": 2697.39, "end": 2707.85, "text": "أربعة احتمالات الاحتمال الأول ان الار تساوي واحد والاس تساوي عشرة", "tokens": [10721, 25513, 27884, 1975, 33753, 2304, 6027, 9307, 42963, 33753, 2304, 6027, 16247, 12610, 16472, 2423, 9640, 6055, 3794, 995, 45865, 36764, 24401, 16070, 32277, 6055, 3794, 995, 45865, 6225, 8592, 25720], "avg_logprob": -0.3241003787878788, "compression_ratio": 1.518987341772152, "no_speech_prob": 0.0, "words": [{"start": 2697.39, "end": 2698.79, "word": "أربعة", "probability": 0.4353434244791667}, {"start": 2698.79, "end": 2699.47, "word": " احتمالات", "probability": 0.93505859375}, {"start": 2699.47, "end": 2700.77, "word": " الاحتمال", "probability": 0.76141357421875}, {"start": 2700.77, "end": 2701.55, "word": " الأول", "probability": 0.8115234375}, {"start": 2701.55, "end": 2702.59, "word": " ان", "probability": 0.61767578125}, {"start": 2702.59, "end": 2703.75, "word": " الار", "probability": 0.521484375}, {"start": 2703.75, "end": 2704.51, "word": " تساوي", "probability": 0.8944091796875}, {"start": 2704.51, "end": 2705.11, "word": " واحد", "probability": 0.9736328125}, {"start": 2705.11, "end": 2706.27, "word": " والاس", "probability": 0.676513671875}, {"start": 2706.27, "end": 2707.23, "word": " تساوي", "probability": 0.911865234375}, {"start": 2707.23, "end": 2707.85, "word": " عشرة", "probability": 0.8639322916666666}], "temperature": 1.0}, {"id": 114, "seek": 273131, "start": 2709.01, "end": 2731.31, "text": "هل هذا الكلام ممكن؟ والله مش ممكن الحين لو ال S وتعشرة يبقى ال M كده؟ 420 ممكن هذا الكلام؟ يتناقض مع كلمة proper تمام يبقى هذا this is impossible", "tokens": [3224, 1211, 23758, 2423, 28820, 10943, 3714, 43020, 22807, 16070, 43761, 37893, 3714, 43020, 21542, 9957, 45164, 2423, 318, 4032, 2655, 3615, 8592, 25720, 7251, 3555, 4587, 7578, 2423, 376, 9122, 3215, 3224, 22807, 1017, 2009, 3714, 43020, 23758, 2423, 28820, 10943, 22807, 7251, 2655, 8315, 4587, 11242, 20449, 9122, 19528, 3660, 2296, 46811, 10943, 7251, 3555, 4587, 7578, 23758, 341, 307, 6243], "avg_logprob": -0.30908202566206455, "compression_ratio": 1.4625, "no_speech_prob": 0.0, "words": [{"start": 2709.01, "end": 2709.99, "word": "هل", "probability": 0.5445556640625}, {"start": 2709.99, "end": 2710.27, "word": " هذا", "probability": 0.77099609375}, {"start": 2710.27, "end": 2710.79, "word": " الكلام", "probability": 0.8347981770833334}, {"start": 2710.79, "end": 2711.47, "word": " ممكن؟", "probability": 0.7931315104166666}, {"start": 2711.47, "end": 2711.77, "word": " والله", "probability": 0.7027587890625}, {"start": 2711.77, "end": 2711.99, "word": " مش", "probability": 0.5361328125}, {"start": 2711.99, "end": 2712.51, "word": " ممكن", "probability": 0.987060546875}, {"start": 2712.51, "end": 2713.45, "word": " الحين", "probability": 0.508056640625}, {"start": 2713.45, "end": 2713.65, "word": " لو", "probability": 0.75048828125}, {"start": 2713.65, "end": 2713.83, "word": " ال", "probability": 0.86279296875}, {"start": 2713.83, "end": 2714.21, "word": " S", "probability": 0.3623046875}, {"start": 2714.21, "end": 2715.39, "word": " وتعشرة", "probability": 0.5341064453125}, {"start": 2715.39, "end": 2716.23, "word": " يبقى", "probability": 0.9150390625}, {"start": 2716.23, "end": 2716.33, "word": " ال", "probability": 0.80615234375}, {"start": 2716.33, "end": 2716.53, "word": " M", "probability": 0.8916015625}, {"start": 2716.53, "end": 2717.55, "word": " كده؟", "probability": 0.5699462890625}, {"start": 2717.55, "end": 2719.61, "word": " 420", "probability": 0.745849609375}, {"start": 2719.61, "end": 2720.05, "word": " ممكن", "probability": 0.90966796875}, {"start": 2720.05, "end": 2720.31, "word": " هذا", "probability": 0.94384765625}, {"start": 2720.31, "end": 2720.87, "word": " الكلام؟", "probability": 0.8759765625}, {"start": 2720.87, "end": 2721.95, "word": " يتناقض", "probability": 0.9751953125}, {"start": 2721.95, "end": 2722.15, "word": " مع", "probability": 0.98828125}, {"start": 2722.15, "end": 2722.89, "word": " كلمة", "probability": 0.9749348958333334}, {"start": 2722.89, "end": 2723.81, "word": " proper", "probability": 0.91943359375}, {"start": 2723.81, "end": 2724.79, "word": " تمام", "probability": 0.890380859375}, {"start": 2724.79, "end": 2726.07, "word": " يبقى", "probability": 0.85089111328125}, {"start": 2726.07, "end": 2726.67, "word": " هذا", "probability": 0.9736328125}, {"start": 2726.67, "end": 2727.73, "word": " this", "probability": 0.373046875}, {"start": 2727.73, "end": 2728.61, "word": " is", "probability": 0.96337890625}, {"start": 2728.61, "end": 2731.31, "word": " impossible", "probability": 0.728515625}], "temperature": 1.0}, {"id": 115, "seek": 275713, "start": 2733.85, "end": 2757.13, "text": "هذا غير ممكن السبب because ان ال H is proper subgroup من G لان على الجهة ده مش ممكن ممكن العكس نقطة ثانية ان ال R تساوي عشرة و ال S تساوي واحد", "tokens": [3224, 15730, 32771, 13546, 3714, 43020, 21136, 3555, 3555, 570, 16472, 2423, 389, 307, 2296, 1422, 17377, 9154, 460, 5296, 7649, 15844, 25724, 3224, 3660, 11778, 3224, 37893, 3714, 43020, 3714, 43020, 18863, 4117, 3794, 8717, 47432, 3660, 38637, 7649, 10632, 16472, 2423, 497, 6055, 3794, 995, 45865, 6225, 8592, 25720, 4032, 2423, 318, 6055, 3794, 995, 45865, 36764, 24401], "avg_logprob": -0.29738730094471916, "compression_ratio": 1.4705882352941178, "no_speech_prob": 0.0, "words": [{"start": 2733.85, "end": 2734.37, "word": "هذا", "probability": 0.853515625}, {"start": 2734.37, "end": 2735.03, "word": " غير", "probability": 0.9560546875}, {"start": 2735.03, "end": 2735.51, "word": " ممكن", "probability": 0.97607421875}, {"start": 2735.51, "end": 2736.47, "word": " السبب", "probability": 0.7552897135416666}, {"start": 2736.47, "end": 2738.65, "word": " because", 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389, 20328, 9640, 2655, 12174, 3215, 591, 3714, 19913, 3555, 2407, 9566, 4032, 23758, 28242, 10943, 32771, 1211, 9566, 5296, 33456, 1975, 5016, 8315, 8717, 39648, 9957, 591, 2296, 7251, 3555, 4587, 7578, 4724, 43042, 3224, 23758, 341, 307, 6243, 570, 4238, 591, 307, 2296], "avg_logprob": -0.2291118433600978, "compression_ratio": 1.5333333333333334, "no_speech_prob": 0.0, "words": [{"start": 2758.44, "end": 2759.36, "word": "تمام؟", "probability": 0.556121826171875}, {"start": 2759.36, "end": 2759.94, "word": " طب", "probability": 0.8056640625}, {"start": 2759.94, "end": 2760.24, "word": " بدنا", "probability": 0.960693359375}, {"start": 2760.24, "end": 2760.58, "word": " نأتي", "probability": 0.7012532552083334}, {"start": 2760.58, "end": 2760.86, "word": " إلى", "probability": 0.5849609375}, {"start": 2760.86, "end": 2761.06, "word": " ال", "probability": 0.80126953125}, {"start": 2761.06, "end": 2761.4, "word": " S", "probability": 0.5234375}, {"start": 2761.4, "end": 2762.36, 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" النقطة", "probability": 0.93310546875}, {"start": 2795.18, "end": 2795.88, "word": " التالتة", "probability": 0.9854736328125}, {"start": 2795.88, "end": 2796.5, "word": " ممكن", "probability": 0.971923828125}, {"start": 2796.5, "end": 2796.76, "word": " ال", "probability": 0.9306640625}, {"start": 2796.76, "end": 2797.08, "word": " R", "probability": 0.474365234375}, {"start": 2797.08, "end": 2797.84, "word": " يساوي", "probability": 0.7542724609375}, {"start": 2797.84, "end": 2798.6, "word": " اتنين", "probability": 0.91796875}, {"start": 2798.6, "end": 2799.02, "word": " وال", "probability": 0.51318359375}, {"start": 2799.02, "end": 2799.54, "word": " S", "probability": 0.798828125}, {"start": 2799.54, "end": 2800.46, "word": " يساوي", "probability": 0.9847412109375}, {"start": 2800.46, "end": 2801.24, "word": " خمسة", "probability": 0.982177734375}], "temperature": 1.0}, {"id": 118, "seek": 283100, "start": 2802.38, "end": 2831.0, "text": "طيب لو حطيت ال S هنا بخمسة بصير هدول كده؟ 210 ممكن؟ اه ممكن مافيش مشكلة يبقى هنا ال R سواء S then ال M بدها تساوي ال S لخمسة في اتنين واربعين واللي هو بده يساوي متين وعشر خمسة في اتنين بعشر وخمسة في اربع باشرين واحد واحد", "tokens": [9566, 1829, 3555, 45164, 11331, 9566, 36081, 2423, 318, 34105, 4724, 9778, 2304, 3794, 3660, 4724, 9381, 13546, 8032, 3215, 12610, 9122, 3215, 3224, 22807, 42692, 3714, 43020, 22807, 1975, 3224, 3714, 43020, 19446, 41185, 8592, 37893, 28820, 3660, 7251, 3555, 4587, 7578, 34105, 2423, 497, 8608, 2407, 16606, 318, 550, 2423, 376, 47525, 11296, 6055, 3794, 995, 45865, 2423, 318, 5296, 9778, 2304, 3794, 3660, 8978, 1975, 2655, 1863, 9957, 4032, 9640, 3555, 3615, 9957, 16070, 20292, 31439, 47525, 3224, 7251, 3794, 995, 45865, 44650, 9957, 4032, 3615, 46309, 16490, 2304, 3794, 3660, 8978, 1975, 2655, 1863, 9957, 4724, 3615, 46309, 4032, 9778, 2304, 3794, 3660, 8978, 1975, 25513, 3615, 4724, 995, 46309, 9957, 36764, 24401, 36764, 24401], "avg_logprob": -0.2122395873069763, "compression_ratio": 1.9, 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"probability": 0.78515625}, {"start": 2832.94, "end": 2833.7, "word": " هذا", "probability": 0.76708984375}, {"start": 2833.7, "end": 2833.88, "word": " لو", "probability": 0.9306640625}, {"start": 2833.88, "end": 2834.38, "word": " كانت", "probability": 0.920654296875}, {"start": 2834.38, "end": 2834.54, "word": " ال", "probability": 0.89111328125}, {"start": 2834.54, "end": 2834.94, "word": " S", "probability": 0.430419921875}, {"start": 2834.94, "end": 2836.18, "word": " بخمسة", "probability": 0.96171875}, {"start": 2836.18, "end": 2836.38, "word": " وال", "probability": 0.712890625}, {"start": 2836.38, "end": 2836.66, "word": " R", "probability": 0.57861328125}, {"start": 2836.66, "end": 2837.22, "word": " باتنين", "probability": 0.842041015625}, {"start": 2837.22, "end": 2838.52, "word": " الاحتمال", "probability": 0.929443359375}, {"start": 2838.52, "end": 2839.44, "word": " الرابع", "probability": 0.97607421875}, {"start": 2839.44, "end": 2840.44, "word": " ان", "probability": 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45865, 318, 8978, 1975, 2655, 1863, 9957, 4032, 9640, 3555, 3615, 9957, 2423, 318, 18871, 16254, 4724, 9307, 1863, 9957, 8978, 1975, 2655, 1863, 9957, 4032, 9640, 3555, 3615, 9957, 4032, 1829, 3794, 995, 45865, 12174, 3215, 33599, 1975, 25513, 27884, 4032, 46811, 7649, 9957, 3714, 43020, 49429, 37893, 3714, 43020, 4724, 43042, 3224, 3714, 43020, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 34105, 4724, 39648, 3224, 264, 1944, 9470], "avg_logprob": -0.18197407809699453, "compression_ratio": 1.8129032258064517, "no_speech_prob": 0.0, "words": [{"start": 2847.81, "end": 2848.19, "word": "ال", "probability": 0.460693359375}, {"start": 2848.19, "end": 2848.87, "word": " M", "probability": 0.361083984375}, {"start": 2848.87, "end": 2849.99, "word": " يساوي", "probability": 0.9473876953125}, {"start": 2849.99, "end": 2850.69, "word": " ال", "probability": 0.412109375}, {"start": 2850.69, "end": 2850.93, "word": " M", "probability": 0.450439453125}, {"start": 2850.93, "end": 2851.47, "word": " يساوي", "probability": 0.97802734375}, {"start": 2851.47, "end": 2851.79, "word": " S", "probability": 0.93896484375}, {"start": 2851.79, "end": 2852.03, "word": " في", "probability": 0.71875}, {"start": 2852.03, "end": 2852.39, "word": " اتنين", "probability": 0.8260498046875}, {"start": 2852.39, "end": 2853.19, "word": " واربعين", "probability": 0.91787109375}, {"start": 2853.19, "end": 2853.77, "word": " ال", "probability": 0.94287109375}, {"start": 2853.77, "end": 2854.13, "word": " S", "probability": 0.99169921875}, {"start": 2854.13, "end": 2854.63, "word": " عندي", "probability": 0.811767578125}, {"start": 2854.63, "end": 2855.83, "word": " باتنين", "probability": 0.7540283203125}, {"start": 2855.83, "end": 2856.35, "word": " في", "probability": 0.78955078125}, {"start": 2856.35, "end": 2857.05, "word": " اتنين", "probability": 0.98828125}, {"start": 2857.05, "end": 2858.25, "word": " واربعين", "probability": 0.98671875}, {"start": 2858.25, "end": 2859.23, "word": " ويساوي", "probability": 0.9080078125}, {"start": 2859.23, "end": 2860.03, "word": " قداش", "probability": 0.7493489583333334}, {"start": 2860.03, "end": 2860.87, "word": " اربعة", "probability": 0.7815755208333334}, {"start": 2860.87, "end": 2861.01, "word": " و", "probability": 0.73779296875}, {"start": 2861.01, "end": 2861.55, "word": " تمانين", "probability": 0.9417317708333334}, {"start": 2861.55, "end": 2862.33, "word": " ممكن", "probability": 0.961669921875}, {"start": 2862.33, "end": 2862.61, "word": " ولا", "probability": 0.80224609375}, {"start": 2862.61, "end": 2862.83, "word": " مش", "probability": 0.9814453125}, {"start": 2862.83, "end": 2863.49, "word": " ممكن", "probability": 0.987548828125}, {"start": 2863.49, "end": 2864.65, "word": " برضه", "probability": 0.8611653645833334}, {"start": 2864.65, "end": 2865.15, "word": " ممكن", "probability": 0.9912109375}, {"start": 2865.15, "end": 2865.95, "word": " يبقى", "probability": 0.911376953125}, {"start": 2865.95, "end": 2866.43, "word": " باجي", "probability": 0.9375}, {"start": 2866.43, "end": 2866.73, "word": " هنا", "probability": 0.9775390625}, {"start": 2866.73, "end": 2867.49, "word": " بقوله", "probability": 0.8308919270833334}, {"start": 2867.49, "end": 2867.85, "word": " the", "probability": 0.2489013671875}, {"start": 2867.85, "end": 2869.57, "word": " possible", "probability": 0.9619140625}, {"start": 2869.57, "end": 2872.29, "word": " orders", "probability": 0.8115234375}], "temperature": 1.0}, {"id": 121, "seek": 290333, "start": 2874.23, "end": 2903.33, "text": "of H are أربعة وتمانين or متين وعشرة يبقى كله اعتمدنا فيه على مين على Lagrange theorem الان وصلنا لنتائج على نظرية Lagrange حصلنا حوالي أربع نتائج و بكلهم بيفيدونا كتير في حل المسائل المرة القادمة ان شاء الله", "tokens": [2670, 389, 366, 5551, 25513, 27884, 34683, 2304, 7649, 9957, 420, 44650, 9957, 4032, 3615, 8592, 25720, 7251, 3555, 4587, 7578, 28242, 3224, 1975, 34268, 2304, 3215, 8315, 8978, 3224, 15844, 3714, 9957, 15844, 24886, 14521, 20904, 2423, 7649, 4032, 36520, 8315, 5296, 29399, 16373, 7435, 15844, 8717, 19913, 2288, 10632, 24886, 14521, 11331, 36520, 8315, 11331, 2407, 6027, 1829, 5551, 25513, 3615, 8717, 2655, 16373, 7435, 4032, 4724, 28820, 16095, 4724, 33911, 25708, 2407, 8315, 9122, 2655, 13546, 8978, 11331, 1211, 9673, 3794, 16373, 1211, 9673, 25720, 25062, 18513, 46007, 16472, 13412, 16606, 21984], "avg_logprob": -0.2407226610618333, "compression_ratio": 1.7009803921568627, "no_speech_prob": 0.0, "words": [{"start": 2874.23, "end": 2874.93, "word": "of", "probability": 0.433349609375}, {"start": 2874.93, "end": 2876.51, "word": " H", "probability": 0.6845703125}, {"start": 2876.51, "end": 2878.11, "word": " are", "probability": 0.421875}, {"start": 2878.11, "end": 2879.37, "word": " أربعة", "probability": 0.7583821614583334}, {"start": 2879.37, "end": 2880.47, "word": " وتمانين", "probability": 0.906982421875}, {"start": 2880.47, "end": 2881.71, "word": " or", "probability": 0.7978515625}, {"start": 2881.71, "end": 2883.29, "word": " متين", "probability": 0.777587890625}, {"start": 2883.29, "end": 2884.11, "word": " وعشرة", "probability": 0.736572265625}, {"start": 2884.11, "end": 2885.69, "word": " يبقى", "probability": 0.82550048828125}, {"start": 2885.69, "end": 2886.19, "word": " كله", "probability": 0.917724609375}, {"start": 2886.19, "end": 2886.79, "word": " اعتمدنا", "probability": 0.95419921875}, {"start": 2886.79, "end": 2887.09, "word": " فيه", "probability": 0.9287109375}, {"start": 2887.09, "end": 2887.25, "word": " على", "probability": 0.767578125}, {"start": 2887.25, "end": 2887.63, "word": " مين", "probability": 0.527191162109375}, {"start": 2887.63, "end": 2888.43, "word": " على", "probability": 0.77783203125}, {"start": 2888.43, "end": 2889.41, "word": " Lagrange", "probability": 0.724365234375}, {"start": 2889.41, "end": 2890.21, "word": " theorem", "probability": 0.3720703125}, {"start": 2890.21, "end": 2891.17, "word": " الان", "probability": 0.6417236328125}, {"start": 2891.17, "end": 2891.77, "word": " وصلنا", "probability": 0.9820963541666666}, {"start": 2891.77, "end": 2892.75, "word": " لنتائج", "probability": 0.9820556640625}, {"start": 2892.75, "end": 2893.05, "word": " على", "probability": 0.91015625}, {"start": 2893.05, "end": 2893.67, "word": " نظرية", "probability": 0.9501953125}, {"start": 2893.67, "end": 2894.37, "word": " Lagrange", "probability": 0.87548828125}, {"start": 2894.37, "end": 2895.11, "word": " حصلنا", "probability": 0.6780192057291666}, {"start": 2895.11, "end": 2895.71, "word": " حوالي", "probability": 0.8101806640625}, {"start": 2895.71, "end": 2896.17, "word": " أربع", "probability": 0.7877604166666666}, {"start": 2896.17, "end": 2896.97, "word": " نتائج", "probability": 0.995849609375}, {"start": 2896.97, "end": 2897.51, "word": " و", "probability": 0.69091796875}, {"start": 2897.51, "end": 2898.15, "word": " بكلهم", "probability": 0.78515625}, {"start": 2898.15, "end": 2899.37, "word": " بيفيدونا", "probability": 0.712255859375}, {"start": 2899.37, "end": 2899.71, "word": " كتير", "probability": 0.9519856770833334}, {"start": 2899.71, "end": 2899.89, "word": " في", "probability": 0.810546875}, {"start": 2899.89, "end": 2900.27, "word": " حل", "probability": 0.97412109375}, {"start": 2900.27, "end": 2901.37, "word": " المسائل", "probability": 0.8536376953125}, {"start": 2901.37, "end": 2901.83, "word": " المرة", "probability": 0.844482421875}, {"start": 2901.83, "end": 2902.51, "word": " القادمة", "probability": 0.9928385416666666}, {"start": 2902.51, "end": 2902.89, "word": " ان", "probability": 0.74560546875}, {"start": 2902.89, "end": 2903.23, "word": " شاء", "probability": 0.973876953125}, {"start": 2903.23, "end": 2903.33, "word": " الله", "probability": 0.93115234375}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2904.677, "duration_after_vad": 2746.4174999999927}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/UV0i1PfJFLc_postprocess.srt b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/UV0i1PfJFLc_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..899313e343fadb9d4ca9742013892edf310e055f
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/UV0i1PfJFLc_postprocess.srt
@@ -0,0 +1,1760 @@
+1
+00:00:22,610 --> 00:00:27,190
+المرة اللى فاتت بدأنا في خواص ال isomorphism
+
+2
+00:00:27,190 --> 00:00:31,930
+وقسمنا هذه الخواص الى جزءين الجزء الاول اخدناه
+
+3
+00:00:31,930 --> 00:00:35,870
+المرة الماضية واليوم هناخد الجزء الثاني الجزء
+
+4
+00:00:35,870 --> 00:00:40,030
+الاول من خواص ال isomorphism كان يتحدث عن تأثير ال
+
+5
+00:00:40,030 --> 00:00:45,650
+isomorphism على عناصر ال group واخدنا على ذلك سبع
+
+6
+00:00:45,650 --> 00:00:50,920
+نقاطاليوم أربع نقاط تتحدث عن تأثير الـ isomorphism
+
+7
+00:00:50,920 --> 00:00:57,980
+على الشكل العام لمن؟ لـ group دون الخوض في العناصر
+
+8
+00:00:57,980 --> 00:01:01,220
+لأن المرة اللى فاتت كنا في العناصر مرة هدى في
+
+9
+00:01:01,220 --> 00:01:06,540
+الشكل العام لـ groupيبقى تتكون أو النظرية هذه
+
+10
+00:01:06,540 --> 00:01:12,500
+تتحدث عن ال isomorphism acting on groups التي تؤثر
+
+11
+00:01:12,500 --> 00:01:17,000
+على ال groups قال افترض ان في هذه عبارة عن
+
+12
+00:01:17,000 --> 00:01:22,920
+isomorphism من ال group G onto ال group G bar then
+
+13
+00:01:23,830 --> 00:01:27,870
+الـ Phi inverse عبارة عن isomorphism يبقى Phi اللي
+
+14
+00:01:27,870 --> 00:01:32,990
+عندناها دي كانت isomorphism إذا معكوسة هو عبارة عن
+
+15
+00:01:32,990 --> 00:01:39,670
+isomorphism من G bar onto G يعني كأنها عملية عكسية
+
+16
+00:01:39,670 --> 00:01:45,470
+تماما لمين لPhi الأصليةالنقطة الثانية لو كان الـG
+
+17
+00:01:45,470 --> 00:01:50,810
+abelian فإن الـG bar abelian والعكس صحيح لو كان
+
+18
+00:01:50,810 --> 00:01:53,890
+الـG bar abelian يبقى الـG abelian يبقى الـG is
+
+19
+00:01:53,890 --> 00:01:57,990
+abelian if and only if الـG bar is abelian بالمثل
+
+20
+00:01:57,990 --> 00:02:02,390
+الـG is cyclic if and only if الـG bar is cyclic
+
+21
+00:02:02,920 --> 00:02:07,860
+العمر الرابع والاخير لو كان K subgroup من G فإن
+
+22
+00:02:07,860 --> 00:02:14,760
+صورة اللي هو ال K هذه Phi of capital K هي عبارة عن
+
+23
+00:02:14,760 --> 00:02:20,260
+subgroup كذلك من من من G bar يبقى لو كان K
+
+24
+00:02:20,260 --> 00:02:25,040
+subgroup من G فإن صورة هذه ال K اللي هي Phi of K
+
+25
+00:02:25,040 --> 00:02:31,030
+بيبقى subgroup من من من G barالان بدنا نحاول نبرهن
+
+26
+00:02:31,030 --> 00:02:35,330
+النقاط الأربع اللي عندنا و بدنا نأتي إلى النقطة
+
+27
+00:02:35,330 --> 00:02:41,710
+الأولى النقطة الأولى بدنا نعتمد في برهانها على ما
+
+28
+00:02:41,710 --> 00:02:47,600
+نعرف من مبادئ الرياضيةأخدنا في مبادئ الرياضيات إن
+
+29
+00:02:47,600 --> 00:02:52,780
+لو عندي function و ال function هذه كانت one to one
+
+30
+00:02:52,780 --> 00:02:59,340
+and unto فإن المعكوس تبعها exist و في نفس الوقت
+
+31
+00:02:59,340 --> 00:03:04,120
+one to one and unto تذكروا هذه خدناها و راجعناهافي
+
+32
+00:03:04,120 --> 00:03:08,760
+أول chapter إذا هذا العمود الأساسي أو النقطة
+
+33
+00:03:08,760 --> 00:03:12,420
+الأساسية في إثبات أن الـPhi inverse عبارة عن
+
+34
+00:03:12,420 --> 00:03:16,700
+isomorphism إذا مدام Phi one to one and unto إذا
+
+35
+00:03:16,700 --> 00:03:20,140
+Phi inverse exist وكذلك one to one and unto إذا ما
+
+36
+00:03:20,140 --> 00:03:25,140
+بضلش علينا إلا خاصية ال isomorphism ل Phi of A
+
+37
+00:03:25,140 --> 00:03:28,080
+بيبدوا يسوي Phi of B في Phi of B بدنا نطبقها
+
+38
+00:03:28,080 --> 00:03:33,970
+عالميا على Phi inverseيبقى باجي بقوله هنا since
+
+39
+00:03:33,970 --> 00:03:37,010
+بمعنى
+
+40
+00:03:37,010 --> 00:03:46,710
+فاي is one to one and onto function then since we
+
+41
+00:03:46,710 --> 00:03:56,790
+have ان الفاي inverse is one to one and onto
+
+42
+00:03:56,790 --> 00:03:58,530
+function
+
+43
+00:04:00,990 --> 00:04:05,070
+يبقى هذه معلومة من مبادئ رياضية من المستوى الثاني
+
+44
+00:04:05,070 --> 00:04:13,550
+يبقاش ضايل عندنا it remains يبقى that it remains
+
+45
+00:04:13,550 --> 00:04:23,420
+to show thatإن فاي انفرس of a,b سيكون فاي انفرس of
+
+46
+00:04:23,420 --> 00:04:30,580
+a في في انفرس of b هذا الكلام صحيح لكل ال a و ال b
+
+47
+00:04:30,580 --> 00:04:37,450
+اللي موجودة في جيلذلك بدي اروح اقولكوا consider فى
+
+48
+00:04:37,450 --> 00:04:43,210
+انتظار هذا الكلام consider فاي انفرست لما اتأثر
+
+49
+00:04:43,210 --> 00:04:50,490
+على فاي a b نشوف ايش بتعطينا الان
+
+50
+00:04:50,490 --> 00:04:53,890
+الفاي function و الفاي انفرست اللى هو كمان
+
+51
+00:04:53,890 --> 00:04:59,620
+functionبدي ارجع تعريف ال composition of functions
+
+52
+00:04:59,620 --> 00:05:07,740
+إلى أصله يبقى هذه بتعطينا في انفرس لفي of a و b
+
+53
+00:05:07,740 --> 00:05:15,020
+تمام يبقى بناء عليه الدالة ومعكسة ال composition
+
+54
+00:05:15,020 --> 00:05:20,660
+تبعهم بيعطينا mainالـ Identity Function الـ
+
+55
+00:05:20,660 --> 00:05:25,020
+Identity Function لما تأثر على الـ Element بتعطينا
+
+56
+00:05:25,020 --> 00:05:30,540
+نفس الـ Element اللي هو A B تعالى نشوف تأثير الـ
+
+57
+00:05:30,540 --> 00:05:37,340
+Phi Inverse على مين؟ على الـ Phi of A في من؟ في
+
+58
+00:05:37,340 --> 00:05:39,420
+الـ Phi of B
+
+59
+00:05:42,860 --> 00:05:49,440
+تأثير الفاي انفرس على الفاي of a في الفاي of b أو
+
+60
+00:05:49,440 --> 00:05:57,540
+تأثير الفاي على مين؟ على الفاي انفرس الأولين يا
+
+61
+00:05:57,540 --> 00:06:04,490
+شباب تأثير الفايعلى الفاي انفرس عشان اه فايفاي
+
+62
+00:06:04,490 --> 00:06:08,970
+انفرس عشان اه فايفاي انفرس عشان اه فايفاي
+
+63
+00:06:08,970 --> 00:06:17,990
+انفرس عشان اه فايفاي انفرس عشان اه فايفاي
+
+64
+00:06:17,990 --> 00:06:25,020
+انفرس عشان اه فايفاي انفرس عشان اهيبقى بناء عليه
+
+65
+00:06:25,020 --> 00:06:30,520
+هذا الكلام يساوي انا عندي في is an isomorphism
+
+66
+00:06:30,520 --> 00:06:34,660
+معناته في لما تأثر على حصر ضرب two elements يساوي
+
+67
+00:06:34,660 --> 00:06:38,700
+تأثير الفي على الأولى مضروب في تأثير الفي على
+
+68
+00:06:38,700 --> 00:06:46,560
+الثانية يبقى هذا بده يعطينا في لفي inverse of a في
+
+69
+00:06:46,560 --> 00:06:55,560
+في لمين لفي inverse of bالكلام هذا ليش؟ نظرا لإن
+
+70
+00:06:55,560 --> 00:07:02,160
+الـ Phi is an isomorphism نظرا لإن Phi is
+
+71
+00:07:02,160 --> 00:07:05,640
+isomorphism قدرت أكتبها بالشكل اللي عندنا هذا
+
+72
+00:07:05,640 --> 00:07:10,420
+فبهذا التعريف ال composition of function يبقى بيظل
+
+73
+00:07:10,420 --> 00:07:19,740
+Phi Phi inverse of A وهنا منوهنا كذلك في لفي انفرس
+
+74
+00:07:19,740 --> 00:07:26,100
+of بي بالشكل اللي عندنا هذا الكلام يساوي طبعا في
+
+75
+00:07:26,100 --> 00:07:30,260
+في انفرس هتطلع ال identity function يبقى هنا مش
+
+76
+00:07:30,260 --> 00:07:34,200
+هيضل عندي إلا ال element a و هنا في في انفرس
+
+77
+00:07:34,200 --> 00:07:37,900
+هيعطينا ال identity function تأثيره على بي مش
+
+78
+00:07:37,900 --> 00:07:44,290
+هيعطينا إلا من إلا بيأطلع للنقطة الأولى هذه star
+
+79
+00:07:44,290 --> 00:07:50,870
+والنقطة هذه اللي بدي أسميها double star هذه بتساوي
+
+80
+00:07:50,870 --> 00:07:55,490
+AB وهذه بتساوي AB يبقى الطرف الشمال بتساوي من؟
+
+81
+00:07:55,490 --> 00:07:59,570
+الطرف الشمال اللي عندنا هذا يبقى باجي بقوله هنا
+
+82
+00:07:59,570 --> 00:08:09,460
+from star and double star we haveهنحصل على ما يأتي
+
+83
+00:08:09,460 --> 00:08:20,100
+انه فاي لفاي inverse of a b بدر ساوي فا بدر ساوي
+
+84
+00:08:20,100 --> 00:08:27,500
+مين بدر ساوي فاي لفاي inverse of a في فاي inverse
+
+85
+00:08:27,500 --> 00:08:35,070
+of b بالشكل اللي عندهاطب الآن أنا طلعت قيمتين
+
+86
+00:08:35,070 --> 00:08:40,710
+متساويتين السؤال هو فاي هدي one to one ولا لأ؟
+
+87
+00:08:40,710 --> 00:08:45,770
+مظبوط لأنها isomorphism يبقى فاي one to one وعندي
+
+88
+00:08:45,770 --> 00:08:52,230
+صورتين متساويتين يبقى الأصل ماله متساوي يبقى هذا
+
+89
+00:08:52,230 --> 00:08:58,700
+بده يعطيني مين؟بدي يعطيني انه في انفرس of a,b اللي
+
+90
+00:08:58,700 --> 00:09:03,560
+هو أصل الطرف الشمال بدي اسوي أصل الطرف اليمين اللي
+
+91
+00:09:03,560 --> 00:09:10,780
+هو في انفرس of a في في انفرس ماله of b هذا الكلام
+
+92
+00:09:10,780 --> 00:09:17,580
+ليش؟ because في is one to oneقضينا أثبتنا هنا
+
+93
+00:09:17,580 --> 00:09:24,060
+أثبتنا أن ال inverse هذا أصبح عبارة عن isomorphism
+
+94
+00:09:24,060 --> 00:09:31,060
+يبقى بروح بقوله thus وهكذا في inverse is an
+
+95
+00:09:31,060 --> 00:09:37,960
+isomorphism وبالتالي أثبتنا النقطة الأولىالنقطة
+
+96
+00:09:37,960 --> 00:09:44,980
+الثانية بيقول جي أبيليان إذا كانت الـG بار أبيليان
+
+97
+00:09:44,980 --> 00:09:51,340
+والعكس بالعكس إذا أنا بداجي أقوله إن الـG is
+
+98
+00:09:51,340 --> 00:09:58,630
+abelianF and all F وقتها يجب أن تكون G Ab يعني إذا
+
+99
+00:09:58,630 --> 00:10:03,330
+كان ال A بي بدل سوى بي A لكل ال A و ال B اللي
+
+100
+00:10:03,330 --> 00:10:09,490
+موجودة في G صحيح ولا لأ يبقى F and all F ال A بي
+
+101
+00:10:09,490 --> 00:10:17,580
+بدل سوى بي A لكل ال A و ال B اللي موجودة في Gطيب
+
+102
+00:10:17,580 --> 00:10:22,960
+الان في ايزو مورفزم مدام ايزو مورفزم يبقى صورة
+
+103
+00:10:22,960 --> 00:10:28,360
+العنصر الأول بده تساوي صورة العنصر الثاني يبقى اذا
+
+104
+00:10:28,360 --> 00:10:38,540
+كان في of a,b بده تساوي في of b,aالكلام هذا صحيح
+
+105
+00:10:38,540 --> 00:10:44,160
+إذا كان الان في ايزو مورفزم يبقى بقدر ادخل على اي
+
+106
+00:10:44,160 --> 00:10:52,620
+واحدة فيهم يبقى if and only if في of a في في of b
+
+107
+00:10:52,620 --> 00:11:01,200
+يسوى في of b في main في في of aهذا الكلام لماذا؟
+
+108
+00:11:01,200 --> 00:11:09,620
+لأن فاية عشوائية عشوائية عشوائية عشوائية
+
+109
+00:11:09,620 --> 00:11:11,920
+عشوائية عشوائية عشوائية عشوائية عشوائية عشوائية
+
+110
+00:11:11,920 --> 00:11:20,680
+عشوائية عشوائية عشوائية عشوائية
+
+111
+00:11:20,680 --> 00:11:24,020
+عشوائية
+
+112
+00:11:24,020 --> 00:11:27,860
+عشوائية عشوائية عشوائية عشوائية
+
+113
+00:11:35,170 --> 00:11:42,350
+النقطة الثالثة بيقول لي g is cyclic if and only if
+
+114
+00:11:42,350 --> 00:11:50,170
+g bar is cyclic يبقى بدي أبداله ب g is cyclic if
+
+115
+00:11:50,170 --> 00:11:58,840
+and only if ال g is cyclic لأ كيف؟أثبتناها لل
+
+116
+00:11:58,840 --> 00:12:04,940
+elements تمام؟ لكن احنا بنثبتها in general يبقى
+
+117
+00:12:04,940 --> 00:12:08,820
+انا بقول ان ال G ال cyclic عارف انا عارف تأثيرها
+
+118
+00:12:08,820 --> 00:12:12,500
+اللي بقولنا G تساوي ال sub group generated by A if
+
+119
+00:12:12,500 --> 00:12:15,420
+and only if ال G بار ال sub group generated by Phi
+
+120
+00:12:15,420 --> 00:12:19,820
+of A يعني أثبتناها على العناصر الآن بنثبت in
+
+121
+00:12:19,820 --> 00:12:23,820
+general G ال cyclic if and only if ال G هذه اللي
+
+122
+00:12:23,820 --> 00:12:28,980
+جيتلها ولو generator واحد مظبوط؟يبقى if and only
+
+123
+00:12:28,980 --> 00:12:37,040
+if الـ G هي ال group generated by A يبقى G الصحيح
+
+124
+00:12:37,040 --> 00:12:43,780
+لك إذا كان G قدرت أولدها بعنصر واحد طب لو حدث ذلك
+
+125
+00:12:43,780 --> 00:12:48,640
+شو العلاقة بين ال order تبع ال G و ال order تبع ال
+
+126
+00:12:48,640 --> 00:12:57,020
+A؟إتنين متساويت يبقى هذا الكلام صحيح if and only
+
+127
+00:12:57,020 --> 00:13:04,200
+if ال order لل A سوى ال order ل G طيب هذا الكلام
+
+128
+00:13:04,200 --> 00:13:11,160
+صحيح if and only if نرجع للمحاضرة اللي فاتت ال
+
+129
+00:13:11,160 --> 00:13:16,620
+order ل A شو بيساوي النقطة خمسة عندك في المحاضرة
+
+130
+00:13:16,620 --> 00:13:23,080
+الماضيةالـ order لـ A بدي سوى ال order لـ Phi of A
+
+131
+00:13:23,080 --> 00:13:29,700
+والنقطة رقم سبعة ال order ل G بدي سوى ال order ل G
+
+132
+00:13:29,700 --> 00:13:35,720
+bar ليش؟ لأنه Phi isomorphism يبقى F and only F ال
+
+133
+00:13:35,720 --> 00:13:43,160
+order تبع ال A سوى ال order ل Phi of A تمام؟
+
+134
+00:13:44,730 --> 00:13:49,870
+صوى ال order للـ Fi of A يبقى هذا الكلام صحيح إذا
+
+135
+00:13:49,870 --> 00:13:56,590
+كان ال order ل A قلنا هو عبارة عن مين ال order ل G
+
+136
+00:13:56,590 --> 00:14:04,230
+و ال order ل G هذا هو ال order تبع ال G bar يبقى
+
+137
+00:14:04,230 --> 00:14:09,930
+بده يساوي ال order تبع ال G bar و هذا بده يساوي
+
+138
+00:14:09,930 --> 00:14:18,170
+مدام هذا هو ال order تبع ال G barولا تقول اتلاخبط
+
+139
+00:14:18,170 --> 00:14:24,110
+فى خطوة واحدة يبقى هذا الكلام صحيح إذا كان هدول
+
+140
+00:14:24,110 --> 00:14:28,750
+اتنين بيصووا بعض هدى خلته زى ما هو و ال order ل G
+
+141
+00:14:28,750 --> 00:14:33,350
+بدأجله شوية أخدت ال order ل A بده يساوي ال order
+
+142
+00:14:33,350 --> 00:14:39,290
+لل Phi of A و هذا الكلام بده يساوي ال order ل G
+
+143
+00:14:39,690 --> 00:14:44,170
+يبقى شيلت ال order ل a و حطيت بدا ال order ل phi
+
+144
+00:14:44,170 --> 00:14:49,910
+of a و هنا ال order ل g الان هذا f and only f
+
+145
+00:14:49,910 --> 00:14:58,750
+طلعلي لهذا ال order لل phi of a ال order لل phi of
+
+146
+00:14:58,750 --> 00:15:05,730
+a ماله؟الـ order ل G هو ال order ل G bar هذا
+
+147
+00:15:05,730 --> 00:15:11,810
+الكلام بده يساوي ال order ل G bar هذا الكلام جبته
+
+148
+00:15:11,810 --> 00:15:17,010
+من وين؟ from سبعة من النقطة السابعة في النظرية
+
+149
+00:15:17,010 --> 00:15:21,310
+السابقة وهذا جبته من وين؟ من النقطة الخامسة في
+
+150
+00:15:21,310 --> 00:15:28,050
+النظرية الماضيةيبقى إن حدث ذلك إن ال order لـPhi
+
+151
+00:15:28,050 --> 00:15:34,510
+of A سوى ال order لـG bar السؤال هو Phi of A هذا
+
+152
+00:15:34,510 --> 00:15:38,590
+موجود في G ولا في G bar؟ طيب ال order له سوى ال
+
+153
+00:15:38,590 --> 00:15:43,610
+order لـG bar إذا هذا إيش بيكون؟ generator يبقى
+
+154
+00:15:43,610 --> 00:15:50,720
+هذا الكلام if and only ifإن الـ G bar بده تساوي لـ
+
+155
+00:15:50,720 --> 00:15:57,140
+group generated by Phi of A طب إن حدث ذلك يبقى G
+
+156
+00:15:57,140 --> 00:16:03,340
+bar مالها مال G bar في هذه الحالة if and only if
+
+157
+00:16:03,340 --> 00:16:12,270
+الـ G bar is cyclic وهو المطلوبيبقى اعتمادنا في
+
+158
+00:16:12,270 --> 00:16:18,590
+برهان هذه النظرية على نقطتين من النظرية السابقة
+
+159
+00:16:18,590 --> 00:16:22,450
+وهي ال order لإيه بده يسوى ال order لـPhi of V
+
+160
+00:16:22,450 --> 00:16:26,190
+النقطة الأولى النقطة الثانية ال order لـG هو ال
+
+161
+00:16:26,190 --> 00:16:31,050
+order لـG bar كل هذا تحت تأثير أن ال Phi اللي
+
+162
+00:16:31,050 --> 00:16:37,490
+عندها عبارة عن isomorphismبذلك نصل الى النقطة
+
+163
+00:16:37,490 --> 00:16:41,090
+الرابعة حد يلو سؤال هنا قبل ان ننتقل الى النقطة
+
+164
+00:16:41,090 --> 00:16:49,240
+الرابعة اللى بحب يسألى سؤال هنا فيش بلاشنجي للنقطة
+
+165
+00:16:49,240 --> 00:16:54,360
+الرابعة بيقول لو كان capital K هو subgroup من J
+
+166
+00:16:54,360 --> 00:17:00,220
+فإن في of capital K كل العناصر في of small k بحيث
+
+167
+00:17:00,220 --> 00:17:06,000
+ك موجود في ك كابتل عبارة عن subgroup من جي بار إذا
+
+168
+00:17:06,000 --> 00:17:10,220
+بنحاول نثبت إن الست اللي عندنا هذه ال subgroup من
+
+169
+00:17:10,220 --> 00:17:17,090
+جي بارلما كنا بنثبت ال subgroup كان عندي اكثر من
+
+170
+00:17:17,090 --> 00:17:22,810
+طريقة لإثبات ال subgroup أبسطهم و أسرعهم اني أثبت
+
+171
+00:17:22,810 --> 00:17:27,810
+نقطتين ان ال 6 اللي عندها دي is none امتى الخطوة
+
+172
+00:17:27,810 --> 00:17:31,960
+الأولىخطوة ثانية لو أخدت منها عنصرين ضربت الأول في
+
+173
+00:17:31,960 --> 00:17:35,960
+المعكوس التاني اللي جيتهم فيها إذا بصير هذه عبارة
+
+174
+00:17:35,960 --> 00:17:43,980
+عن عبارة عن subgroup طب الآن انا أدعي ان five of K
+
+175
+00:17:43,980 --> 00:17:55,120
+is non empty طيب
+
+176
+00:17:55,120 --> 00:18:02,730
+ليش؟الان السؤال هو K هذه ال sub group من G بنفع
+
+177
+00:18:02,730 --> 00:18:08,250
+يكون sub group وما فيها identity element؟ بنفع؟ لأ
+
+178
+00:18:08,250 --> 00:18:12,910
+يبقى sub group ال identity element تبع ال K هو ال
+
+179
+00:18:12,910 --> 00:18:20,780
+identity element تبع من؟طبع الجي الأصلية تمام إذا
+
+180
+00:18:20,780 --> 00:18:28,340
+هذه non-empty since ليش؟ لأن الـPhi of ال identity
+
+181
+00:18:28,340 --> 00:18:36,780
+تبع الـG موجود في الـPhi of كابتل Kليش؟ لأن الـ
+
+182
+00:18:36,780 --> 00:18:42,880
+identity تبع الـ G موجود في كابتال K هذه يعني هنا
+
+183
+00:18:42,880 --> 00:18:48,980
+that is أي أن هذه Phi of E جي من المرة الماضية
+
+184
+00:18:48,980 --> 00:18:55,680
+النقطة الأولى الـ E تبع الـ G bar موجودة في Phi of
+
+185
+00:18:55,680 --> 00:19:03,000
+كابتال K هذه ههه بالضبط هي هذهخدنا المرة اللي فتت
+
+186
+00:19:03,000 --> 00:19:05,980
+أول نقطة في برهانة النظرية الماضية كان
+
+187
+00:19:10,840 --> 00:19:17,020
+يبقى Phi of K is non-empty لان نحاول نجد عمصرين في
+
+188
+00:19:17,020 --> 00:19:22,680
+Phi of K ونثبت ان الأول في معكوس التاني موجود فيها
+
+189
+00:19:22,680 --> 00:19:28,660
+ان حدث ذلك يبقى بقول Phi of K is a subgroup لذلك
+
+190
+00:19:28,660 --> 00:19:34,500
+لو جيت قلت افترض ان X وY موجودات في K
+
+191
+00:19:38,240 --> 00:19:45,760
+اخدت عنصرين موجودات في كابتل كيه then الـ phi of x
+
+192
+00:19:45,760 --> 00:19:53,600
+والـ phi of y موجودات هدول وين؟ في مين؟في جي بار
+
+193
+00:19:53,600 --> 00:19:58,660
+صحيح لكن انا بدي احصرهم اكتر ال X و ال Y موجودات
+
+194
+00:19:58,660 --> 00:20:07,100
+في K يبقى Phi of X موجود في Phi of K و Phi of Y
+
+195
+00:20:07,100 --> 00:20:14,120
+موجودة في Phi of K يبقى هذا الكلام موجود في Phi of
+
+196
+00:20:14,120 --> 00:20:20,870
+K بالشكل اللي عندنايبقى استطعت ان اجد عنصر ينعش
+
+197
+00:20:20,870 --> 00:20:27,210
+واقيا انوان في في of k اذا بدي اخد الأول في معكوس
+
+198
+00:20:27,210 --> 00:20:36,160
+الثاني يبقى بدي اخد في of x في في of y inverseإذا
+
+199
+00:20:36,160 --> 00:20:42,520
+قدرت أثبت إن هذا موجود في Phi of K قصرت Phi of K
+
+200
+00:20:42,520 --> 00:20:47,360
+subgroup وانتهينا من القصة هذه خالص.الأن هذا
+
+201
+00:20:47,360 --> 00:20:53,860
+الكلام من الخواص اللي درسناها قبل ذلك Phi of X في
+
+202
+00:20:53,860 --> 00:20:59,870
+Phi of Y inverse.الرقم اللى بيكون عندنا هنا او
+
+203
+00:20:59,870 --> 00:21:04,190
+ينما كان يكون بنزل عالمين على العنصر سواء كان هذا
+
+204
+00:21:04,190 --> 00:21:09,650
+رقم موجب او سالب او صفر المرة اللى فاتت اخدنا
+
+205
+00:21:09,650 --> 00:21:14,310
+النقطة الثانية اللى five of a to the power n بيبقى
+
+206
+00:21:14,310 --> 00:21:19,090
+سوى five of a كله to the power n وهذا اللى حاصل
+
+207
+00:21:19,090 --> 00:21:24,500
+عندنا هناطيب الآن في ايزو مورفزم مادام ايزو مورفزم
+
+208
+00:21:24,500 --> 00:21:33,040
+بقدر عليهم هم بفي واحدة يبقى هذا في of x y inverse
+
+209
+00:21:33,040 --> 00:21:44,660
+ليش؟ since ال في is an isomorphismهذا الكلام يساوي
+
+210
+00:21:44,660 --> 00:21:53,300
+في of x y inverse هل يا ترى هذا موجود في في of
+
+211
+00:21:53,300 --> 00:21:54,400
+كابتل ك؟
+
+212
+00:21:57,290 --> 00:22:03,990
+مش K subgroup واخدت عنصرين فيها يبقى الأول فيه
+
+213
+00:22:03,990 --> 00:22:07,650
+معاكس الثاني موجودة فيها لإن ال K زي ال subgroup
+
+214
+00:22:07,650 --> 00:22:15,270
+يبقى موجود sense اللي هو من X Y inverse موجودة في
+
+215
+00:22:15,270 --> 00:22:21,160
+capital K وK عبارة عن subgroup من Gطيب بناء علي
+
+216
+00:22:21,160 --> 00:22:27,220
+اذا اثبت كل الخواص اللازمة لاثبات ان فاي of K is a
+
+217
+00:22:27,220 --> 00:22:33,920
+subgroup مدام اثبتها بروح بقول له غص و هكذا فاي of
+
+218
+00:22:33,920 --> 00:22:42,720
+كبتل K is a subgroup من جي بار وهو المضمون حدا
+
+219
+00:22:42,720 --> 00:22:45,780
+فيكم بيحب يسأل اي سؤال قبل ما فوت على النقطة اللي
+
+220
+00:22:45,780 --> 00:22:48,760
+بعدها اي تساؤل
+
+221
+00:22:53,040 --> 00:22:59,140
+إيش بتقول؟ وين؟
+
+222
+00:22:59,140 --> 00:23:03,320
+تعال هنا على اللوحة شوف تعال بس شوف شرايك إيش
+
+223
+00:23:03,320 --> 00:23:12,760
+بتقول تعال، أيوة، أه ماله؟ لأ من ال A و ال B وين
+
+224
+00:23:12,760 --> 00:23:17,970
+موجودة؟الـ A والـ B موجودات في جي وبالتالي Phi
+
+225
+00:23:17,970 --> 00:23:21,050
+inverse of A وPhi inverse of B هدول موجودات في جي
+
+226
+00:23:21,050 --> 00:23:26,530
+بار لكن الأصل أنا ماخد A وB هدول من وين؟ من جي
+
+227
+00:23:26,530 --> 00:23:31,610
+وليس من جي بار در بالك اه الكلام هذا سليم فيش فيه
+
+228
+00:23:31,610 --> 00:23:37,470
+لا غبارة عليها حد بدي أسأل تاني؟ طيب ننتقل الآن
+
+229
+00:23:37,470 --> 00:23:40,230
+إلى النقطة التي تليها
+
+230
+00:23:59,000 --> 00:24:09,480
+نقضى تعريف جديد يبقى definition and isomorphism
+
+231
+00:24:09,480 --> 00:24:14,980
+and isomorphism
+
+232
+00:24:14,980 --> 00:24:30,500
+from a groupجي onto onto
+
+233
+00:24:30,500 --> 00:24:46,240
+itself onto itself اله نفسها is called is
+
+234
+00:24:46,240 --> 00:24:48,900
+called and
+
+235
+00:24:54,010 --> 00:24:57,410
+Atomorphism Atomorphism of G
+
+236
+00:25:40,700 --> 00:25:45,060
+أحنا لان موضوعنا موضوع الـ isomorphism الان بدينا
+
+237
+00:25:45,060 --> 00:25:51,600
+نخصص شوية ايش نخصص ال isomorphism هو function من
+
+238
+00:25:51,600 --> 00:25:55,840
+جروب إلى جروب تانية بحيث ال function هادي one to
+
+239
+00:25:55,840 --> 00:26:00,840
+one and and هو تحقق الخاصية phi of a b بده سوى phi
+
+240
+00:26:00,840 --> 00:26:08,660
+of a في phi of b تمام؟ الانالان ايش بنقول؟ بنقول
+
+241
+00:26:08,660 --> 00:26:13,280
+لو كانت ال function هذه من الجروب لنفس الجروب مش
+
+242
+00:26:13,280 --> 00:26:18,300
+لجروب تانية ان حدث ذلك باجي بقول ان كانت ال
+
+243
+00:26:18,300 --> 00:26:22,420
+function هذه من الجروب لنفس الجروب مش لجروب تانية
+
+244
+00:26:22,420 --> 00:26:27,610
+يبقى بدي اسميه ايش؟ atomorphismفال definition
+
+245
+00:26:27,610 --> 00:26:32,810
+بيقوللي ال isomorphism من ال group G onto itself
+
+246
+00:26:32,810 --> 00:26:38,730
+يبقى من G إلى G نفسها دي is a is called an
+
+247
+00:26:38,730 --> 00:26:42,770
+atomorphism ايش رأيك؟ احنا خدنا مثال على ال
+
+248
+00:26:42,770 --> 00:26:47,960
+atomorphism و احنا مش دارينأخدنا المثال أعتقد رقم
+
+249
+00:26:47,960 --> 00:26:51,160
+خمسة أو رقم أربع معاك في الأمثلة تبع الـ
+
+250
+00:26:51,160 --> 00:26:59,440
+isomorphism يبقى أول example الخدنا define اللي هو
+
+251
+00:26:59,440 --> 00:27:03,500
+five من ال special linear group of two by two
+
+252
+00:27:03,500 --> 00:27:09,380
+matrices over R لل special linear group of two by
+
+253
+00:27:09,380 --> 00:27:19,920
+two matrices over RDefine Phi by عرفنا اللي هو Phi
+
+254
+00:27:19,920 --> 00:27:30,340
+M of A بدي ساوي الـ M A M inverse والـ M هذه
+
+255
+00:27:30,340 --> 00:27:34,820
+مصفوفة نظامها 2 في 2 قد تكون في ال special و قد لا
+
+256
+00:27:34,820 --> 00:27:40,360
+تكون لكن نظامها 2 في 2يبقى هاي ال function اللي
+
+257
+00:27:40,360 --> 00:27:46,240
+عندنا نظرا اثبتناها احنا isomorphism وهيها من ال
+
+258
+00:27:46,240 --> 00:27:51,460
+group الى نفس ال group يبقى في is an atomorphism
+
+259
+00:27:51,460 --> 00:28:02,680
+يبقى هنا بدي بقوله since في م is an isomorphism
+
+260
+00:28:02,680 --> 00:28:09,610
+وهذا previousexample مش هنقعد هنا أعيد فيه تاني
+
+261
+00:28:09,610 --> 00:28:18,570
+and الـ phi m من ال special linear group لل
+
+262
+00:28:18,570 --> 00:28:28,810
+special linear group هيها نفسها يبقى we have أنه
+
+263
+00:28:28,810 --> 00:28:33,070
+phi is an atomorphism
+
+264
+00:28:35,930 --> 00:28:40,410
+هذا مثال كنا عاملينه و احنا مش عارفينه او ندريش
+
+265
+00:28:40,410 --> 00:28:45,050
+انه atomorphism اثبتنا انه isomorphism و سكتنا لكن
+
+266
+00:28:45,050 --> 00:28:48,810
+لما كان من ال group إلى نفس ال group اذا صار هذا
+
+267
+00:28:48,810 --> 00:28:57,450
+معله صار atomorphism نعطي مثال اخر تبقى هذا اعتبره
+
+268
+00:28:57,450 --> 00:29:05,890
+المثال الأول نجي للمثال الرقم اتنين بيقول الاتالـ
+
+269
+00:29:05,890 --> 00:29:13,150
+R تربيع هي عبارة عن كل ال order pairs A و B بحيث
+
+270
+00:29:13,150 --> 00:29:17,990
+ان ال A و ال B موجودة في ال set of real numbers
+
+271
+00:29:17,990 --> 00:29:27,650
+then ال R square و عليها عملية الجمع is a group
+
+272
+00:29:27,650 --> 00:29:34,730
+هذا لما اتروح في الدار شيكلي عليها و اتأكدانه هذه
+
+273
+00:29:34,730 --> 00:29:41,790
+عبارة عن group define a
+
+274
+00:29:41,790 --> 00:29:52,150
+function phi من ال R square لل R square by phi of
+
+275
+00:29:52,150 --> 00:29:58,810
+A و B بده يساوي ال B و ال A
+
+276
+00:30:03,430 --> 00:30:08,090
+show that أن
+
+277
+00:30:08,090 --> 00:30:17,370
+فاي is an atomorphism بيجيلي أن فاي عبارة عن
+
+278
+00:30:17,370 --> 00:30:18,950
+atomorphism
+
+279
+00:30:28,120 --> 00:30:32,080
+يبقى احنا الـ function اللى عندنا قال يعرف الـ
+
+280
+00:30:32,080 --> 00:30:36,340
+function define a function في من R تربيع الى R
+
+281
+00:30:36,340 --> 00:30:41,980
+تربيع بحيث في of A وB بتقلب وضع اللى هو ال A و ال
+
+282
+00:30:41,980 --> 00:30:49,910
+B إلى B و Aو كأننا نقلب عناصر المستوى XY عبر الخط
+
+283
+00:30:49,910 --> 00:30:52,970
+Y تساوي X اللي على الشجة هذه بنقولها هنا و اللي
+
+284
+00:30:52,970 --> 00:30:58,170
+هنا بنقولها على الشجة التانية جال يبين لي ان ال
+
+285
+00:30:58,170 --> 00:31:03,310
+Phi هذه عبارة عن اتومورفزم و واضح ان Phi هيها من
+
+286
+00:31:03,310 --> 00:31:06,710
+وين لوين من R تربيع إلى R تربيع يعني من اللي جروم
+
+287
+00:31:06,710 --> 00:31:10,800
+إلى نفسهايبقى مش ضايق لعيننا نثبت إلا في عبارة عن
+
+288
+00:31:10,800 --> 00:31:14,380
+isomorphism إن أثبتناها isomorphism بتصير
+
+289
+00:31:14,380 --> 00:31:19,460
+atomorphism بمعنى أخر بدي أثبت إن في one to one
+
+290
+00:31:19,460 --> 00:31:24,220
+and one to one تخدم خاصية ال isomorphism إذا بدي
+
+291
+00:31:24,220 --> 00:31:31,600
+أبدأ أول شغلة بفي is one to oneيبقى بدى احاول اثبت
+
+292
+00:31:31,600 --> 00:31:38,600
+ان فاي is one to one لذلك بروح اخد صورتين
+
+293
+00:31:38,600 --> 00:31:44,480
+متساويتين و اثبت ان اصلهم متساوي فبروح بقوله
+
+294
+00:31:44,480 --> 00:31:54,680
+assume افترض that ان فاي of a و b بدى يساوي فاي of
+
+295
+00:31:54,680 --> 00:32:01,240
+c و dيبقى مطلوب اثبت ان ال A و ال B بيبقى ساوية
+
+296
+00:32:01,240 --> 00:32:10,240
+مين؟ بيبقى ساوية C و D مطلوب نثبت ان ال A و ال B
+
+297
+00:32:10,240 --> 00:32:16,180
+بيبقى ساوية CD ثم ال
+
+298
+00:32:16,180 --> 00:32:24,090
+Phi of A و B هي عبارة عن مين؟ B و Aالـ5 of C وD هي
+
+299
+00:32:24,090 --> 00:32:32,370
+عبارة عن مين؟ عبارة عن D وC بناء عليه إذا عندي two
+
+300
+00:32:32,370 --> 00:32:36,010
+ordered pairs are equal يبقى المركبة الأولى تساوي
+
+301
+00:32:36,010 --> 00:32:40,150
+المركبة الأولى والمركبة الثانية تساوي المركبة
+
+302
+00:32:40,150 --> 00:32:45,490
+الثانية من ال linear algebra يبقى هذا يطينا مين؟
+
+303
+00:32:45,670 --> 00:32:52,350
+بدوا يعطينا ان ال b تساوي ال d وفي نفس الوقت ال a
+
+304
+00:32:52,350 --> 00:32:58,370
+بدوا يساوي من ال c هذا بدوا يعطينا انا بدأ حاول
+
+305
+00:32:58,370 --> 00:33:03,790
+اثبت ان ال a و ال b بدوا يساوي .. بدأ .. بدأ حاول
+
+306
+00:33:03,790 --> 00:33:07,830
+اثبت ان و أنا خدنا .. بدأ حاول اثبت ان ال a و ال b
+
+307
+00:33:07,830 --> 00:33:13,810
+بدوا يساوي من ال c و ال d إذا لو أخدت ال a و ال b
+
+308
+00:33:15,180 --> 00:33:20,240
+الـ A عبارة عن مين؟ C يبقى بقدر أشيلها و أكتب
+
+309
+00:33:20,240 --> 00:33:26,560
+بدالها C والـ B عبارة عن مين؟ عبارة عن D و هو
+
+310
+00:33:26,560 --> 00:33:30,520
+المطلوب إذا الـ A و الـ B ال order pair ساوى ال
+
+311
+00:33:30,520 --> 00:33:33,520
+order pair التاني الـ C و D معناه هذا الكلام أنه
+
+312
+00:33:33,520 --> 00:33:39,640
+Phi is one to one بالدرجة الأقل ال Phi is onto
+
+313
+00:33:42,100 --> 00:33:49,840
+يبقى بدي اروح اخد اي element A وB موجود في ال R²
+
+314
+00:33:49,840 --> 00:33:56,300
+بدي اثبت انه اي element في المستوى XY له اصل كذلك
+
+315
+00:33:56,300 --> 00:34:07,120
+في المستوى XY يبقى then ال A و ال B لو جلبته ايش
+
+316
+00:34:07,120 --> 00:34:13,230
+بده يصير؟B و A بيظل في R تربيع ولا بيطلع برا؟ بيظل
+
+317
+00:34:13,230 --> 00:34:18,610
+في R تربيع يبقى هنا then بدل ما اقول A و B بدي
+
+318
+00:34:18,610 --> 00:34:28,110
+اقول B و A كذلك موجود في ال R تربيع يبقى and ال A
+
+319
+00:34:28,110 --> 00:34:41,230
+و ال B ده بقدر اقول عليه Phi of B و Aفى الـ
+
+320
+00:34:41,230 --> 00:34:46,390
+element اللى أخدته في R تربية لقيت له أصل موجود
+
+321
+00:34:46,390 --> 00:34:51,990
+كذلك في R تربية اللى هو بي و إيه يبقى فاي is on to
+
+322
+00:34:51,990 --> 00:34:56,590
+يبقى أي element أخدته في ال group لقيتله أصل في
+
+323
+00:34:56,590 --> 00:35:02,500
+نفس ال group يبقى بناء عليه فاي is on toضايل علينا
+
+324
+00:35:02,500 --> 00:35:09,820
+خاصية الـ isomorphism فاي is an isomorphism بدا
+
+325
+00:35:09,820 --> 00:35:17,180
+أقول له فاي of بدي أخد a و b ال operation عملية
+
+326
+00:35:17,180 --> 00:35:24,320
+الجامع ل c و d أخد تأثير في على main على two
+
+327
+00:35:24,320 --> 00:35:29,290
+elements وال two elements موجودات في ال R²يبقى هذا
+
+328
+00:35:29,290 --> 00:35:40,470
+الكلام بده يساوي في او يبقى a زائد c و b زائد d
+
+329
+00:35:40,470 --> 00:35:47,190
+كله ك element واحد بناء على التعريف هذا الكلام بده
+
+330
+00:35:47,190 --> 00:35:56,060
+يساوي المركبة a ثانيةبزائد دي والمركبة الأولى a
+
+331
+00:35:56,060 --> 00:36:03,540
+زائد c بالشكل اللي عندناها يبقى صورة العنصر هذا
+
+332
+00:36:03,540 --> 00:36:09,600
+بجلب وضع المركبتين هاي جلبناهم السؤال هو هل يمكن
+
+333
+00:36:09,600 --> 00:36:17,380
+كتابة الجثة على شكل مجموع قوسين الإجابة نعم كيف
+
+334
+00:36:17,380 --> 00:36:25,640
+كانت تاليهذا الكلام بقدر اقول b و a زائد d و c
+
+335
+00:36:25,640 --> 00:36:33,840
+طبعا ال b و ال a طبقا لل definition مش هي عبارة عن
+
+336
+00:36:33,840 --> 00:36:41,580
+five of a و b و التانية d و c هي عبارة عن five of
+
+337
+00:36:41,580 --> 00:36:49,470
+c و dطب ايش اللي عملنا؟ طلع هنا أخدت مجموع اللي هو
+
+338
+00:36:49,470 --> 00:36:54,910
+two ordered pair لجيت تأثير الفي عليهم يسوى تأثير
+
+339
+00:36:54,910 --> 00:37:00,370
+الفي على ال element الأول زي تأثير الفي على ال
+
+340
+00:37:00,370 --> 00:37:06,870
+element الثاني هنا ظلت النقطة الأخيرة يبقى since
+
+341
+00:37:07,360 --> 00:37:16,480
+فاي من R تربية الى R تربية is an isomorphism يبقى
+
+342
+00:37:16,480 --> 00:37:28,040
+الفاي is an atomorphism وهو المطلوبيبقى من الأنفا
+
+343
+00:37:28,040 --> 00:37:34,660
+صاعدا مشان أثبت أنه في اتو مورفزم بدي أتأكد أنه
+
+344
+00:37:34,660 --> 00:37:39,120
+لازم تبقى من ال group لنفس ال group و بعد هيك ايزو
+
+345
+00:37:39,120 --> 00:37:44,780
+مورفزم فباقى عندنا في هذه المحاضرة تعريف له علاقة
+
+346
+00:37:44,780 --> 00:37:53,360
+بهذه النقطة تعريف بقول ما يأتي definition little
+
+347
+00:37:53,360 --> 00:38:02,420
+gb grouplet الـ G بي A group and
+
+348
+00:38:02,420 --> 00:38:13,380
+let ال A موجود في هذه ال group define a function
+
+349
+00:38:13,380 --> 00:38:22,820
+فاي A من ال group G إلى ال group G by
+
+350
+00:38:25,000 --> 00:38:36,580
+فاي a of x يساوي a x a inverse لكل
+
+351
+00:38:36,580 --> 00:38:46,740
+ال x اللي موجود في g بالاستثناء يبقى then فاي a is
+
+352
+00:38:46,740 --> 00:38:52,120
+called is called an
+
+353
+00:38:54,790 --> 00:39:01,530
+و الله is called the inner the
+
+354
+00:39:01,530 --> 00:39:05,550
+inner atomorphism
+
+355
+00:39:05,550 --> 00:39:20,910
+atomorphism of g induced by a ناخد
+
+356
+00:39:20,910 --> 00:39:21,670
+مثال
+
+357
+00:39:25,360 --> 00:39:35,000
+example let الـ G تساوي D4 D4 عناصرها عارفينهم ر
+
+358
+00:39:35,000 --> 00:39:43,740
+نود و R تسعين و R مية و تمانين و R ميتين و سبعين و
+
+359
+00:39:43,740 --> 00:39:51,400
+H و V و D و D prime عارفينها من قبل with
+
+360
+00:39:53,530 --> 00:40:06,890
+R 360 هي الـ R نوت R 360 هي الـ R نوت وكذلك الـ H
+
+361
+00:40:06,890 --> 00:40:14,450
+تربيع تساوي الـ V تربيع تساوي الـ D تربيع تساوي
+
+362
+00:40:14,450 --> 00:40:18,630
+الـ D تربيع تساوي الـ D تربيع تساوي من الـ
+
+363
+00:40:18,630 --> 00:40:19,830
+Identity
+
+364
+00:40:26,700 --> 00:40:44,820
+define a function في تسعين من D4 إلى D4 by في
+
+365
+00:40:44,820 --> 00:40:48,800
+تسعين of X ساوي
+
+366
+00:40:50,750 --> 00:41:08,450
+ر تسعين ر تسعين ر تسعين ر تسعين ر تسعين ر تسعين
+
+367
+00:41:08,450 --> 00:41:12,330
+ر تسعين
+
+368
+00:41:24,400 --> 00:41:37,300
+الفاي R تسعين is an inner atomorphism
+
+369
+00:41:51,150 --> 00:41:56,130
+العربى بنرجع لتعريف ال inner atom morphism جالي جي
+
+370
+00:41:56,130 --> 00:42:00,870
+جروب وخد فيها element عرف function سماها في a من g
+
+371
+00:42:00,870 --> 00:42:07,050
+إلى g باي في a of x يسوي a x a inverse الشبيه
+
+372
+00:42:07,050 --> 00:42:12,610
+بمين؟ الشبيه بالتو مثلا احنا اللي في m of a يسوي m
+
+373
+00:42:12,610 --> 00:42:16,830
+a m inverseبس هنا أخدها على مين؟ على element وليس
+
+374
+00:42:16,830 --> 00:42:20,810
+على مصفوفة مين ما تكون ال group سواء مصفوفات ولا
+
+375
+00:42:20,810 --> 00:42:27,030
+غير مصفوفات يبقى في a x يسوو ال a x انفرست لكل ال
+
+376
+00:42:27,030 --> 00:42:31,850
+x اللي موجودة في g يبقى في of a بنسميها inner
+
+377
+00:42:31,850 --> 00:42:37,350
+atomorphism يعني أكنه atomorphism داخلي على مين؟
+
+378
+00:42:37,350 --> 00:42:42,310
+على ال groupالان انا اعطي مثال توضيحي اخدنا D4 و
+
+379
+00:42:42,310 --> 00:42:47,310
+كتبنا خواص ال D4 كما كانت مكتوبة معانا من قبل قال
+
+380
+00:42:47,310 --> 00:42:52,030
+يعرف ال function Phi R تسعين طبعا هم نقدر نجيب Phi
+
+381
+00:42:52,030 --> 00:42:56,390
+R مية و تمانين و Phi R متين و سبعين و Phi R H و
+
+382
+00:42:56,390 --> 00:43:02,650
+Phi R V و Phi R D و Phi D Prime كلهم نقدر نجيبهم
+
+383
+00:43:02,940 --> 00:43:07,580
+يعني بنقدر نجيب تمانية atomorphism ممكن يكون بعضهم
+
+384
+00:43:07,580 --> 00:43:11,480
+يساوي بعضه وبالتالي ماتطلعوش تمانية يطلعوا أقل بس
+
+385
+00:43:11,480 --> 00:43:16,020
+احنا بدنا ناخد فاي ار تسعين وما نعمله عليها بنقدر
+
+386
+00:43:16,020 --> 00:43:22,020
+نعمله لكل العناصر بالاستثناء يبقى هنا show that ان
+
+387
+00:43:22,020 --> 00:43:28,800
+هذه atomorphism باجي بقوله solutionبدنا نروح نجيب
+
+388
+00:43:28,800 --> 00:43:37,480
+اول شي FI R تسعين of ال R noteبدي امسك جميع عناصر
+
+389
+00:43:37,480 --> 00:43:44,100
+ال D4 ليش؟ لإن فاي هذه ارند من D4 إلى D4 وانا جاي
+
+390
+00:43:44,100 --> 00:43:50,720
+لمعرفها ان فاي R90X تساوي R90X لكل ال X اللي
+
+391
+00:43:50,720 --> 00:43:56,700
+موجودة في D4 يعني هذا الكلام صحيح لكل ال X اللي
+
+392
+00:43:56,700 --> 00:44:04,190
+موجودة في D4إذا ميدالي ل R تسعين R نود هي عبارة عن
+
+393
+00:44:04,190 --> 00:44:13,090
+R تسعين R نود R تسعين inverse ال R نود مش هدا ال
+
+394
+00:44:13,090 --> 00:44:18,630
+identity طب وال R تسعين فيه R تسعين inverse يبقى
+
+395
+00:44:18,630 --> 00:44:26,660
+ده هيطلع ال R نود itselfلن يتغير فيها شيء لو بدى
+
+396
+00:44:26,660 --> 00:44:36,320
+اجيب الان في ار تسعين يبقى
+
+397
+00:44:36,320 --> 00:44:46,980
+بده ساول ار تسعين ار تسعين ار تسعين انفرسالـ
+
+398
+00:44:46,980 --> 00:44:51,440
+element هذا في ال inverse شو بيعطينا ال identity
+
+399
+00:44:51,440 --> 00:44:59,720
+في R تسعين بيعطينا R تسعين itself ماتغيرتش طيب لو
+
+400
+00:44:59,720 --> 00:45:08,100
+بده أروح أجيب الفاي R تسعين R مية و تمانين يبقى
+
+401
+00:45:08,100 --> 00:45:16,000
+بيصير عندنا R تسعين R مية و تمانين R تسعين inverse
+
+402
+00:45:16,760 --> 00:45:23,180
+هل ليست هذه R 180 كمان؟
+
+403
+00:45:23,180 --> 00:45:28,130
+R كميوت مع نفسها، كل ال rotation كميوت مع نفسهاطيب
+
+404
+00:45:28,130 --> 00:45:35,910
+لو روحنا جيبنا R تسعين او Phi R تسعين of R ميتين
+
+405
+00:45:35,910 --> 00:45:44,750
+وسبعين يبقى R تسعين R ميتين وسبعين R تسعين inverse
+
+406
+00:45:44,750 --> 00:45:50,590
+يبقى كمان R ميتين وسبعين لأنه بدلناهم مع بعض
+
+407
+00:45:50,590 --> 00:45:55,150
+بجيبنا ال identity ايه المشكلة فيما بعد؟يبقى بدنا
+
+408
+00:45:55,150 --> 00:46:04,930
+نيجي لل R تسعين of H يبقى R تسعين H R تسعين
+
+409
+00:46:04,930 --> 00:46:11,950
+inverse طب استنا في الهم الشيء R تلت مية و ستين
+
+410
+00:46:11,950 --> 00:46:19,210
+بده يساوي ال R note مظبوط؟طب لو ضربنا الطرفين في
+
+411
+00:46:19,210 --> 00:46:24,750
+ال R inverse مش معنى هذا الكلام ان ال R ميتين و
+
+412
+00:46:24,750 --> 00:46:33,150
+سبعين بدي ساوي ال R تسعين inverse ولا لا؟ مظبوط
+
+413
+00:46:33,150 --> 00:46:43,100
+اذا هذه بقدر اكتبها R تسعين H R ميتين و سبعينبعد ر
+
+414
+00:46:43,100 --> 00:46:52,480
+تسعين اتش ر تسعين
+
+415
+00:46:52,480 --> 00:46:58,980
+اتش قداش تساوي يبقى لو رجعت لهذا الجدول عندك ر
+
+416
+00:46:58,980 --> 00:47:08,940
+تسعين اتش بتعطيك D primeفى R270 ومن نفس الجدول D'
+
+417
+00:47:09,260 --> 00:47:24,160
+فى R270 بتديلك V طيب لو روح جبت فاي R90 V
+
+418
+00:47:24,160 --> 00:47:28,260
+بدي ساوي R90
+
+419
+00:47:29,780 --> 00:47:38,080
+في V في R تسعين inverse ويساوي R تسعين V R تسعين V
+
+420
+00:47:38,080 --> 00:47:48,640
+اللي هي ب D وهذه ب R متين وسبعين متين وسبعين وهذه
+
+421
+00:47:48,640 --> 00:47:57,370
+عبارة عن مين عبارة عن H الآنيبقى هاد H بالمثل لو
+
+422
+00:47:57,370 --> 00:48:08,430
+جيبنا فاي R تسعين اللي هو D بدي ساوي R تسعين D R
+
+423
+00:48:08,430 --> 00:48:17,170
+تسعين inverse R تسعين V R تسعين D اللي هي عبارة عن
+
+424
+00:48:17,170 --> 00:48:25,370
+Hفى R ميتين وسبعين والـ H فى R ميتين وسبعين اللى
+
+425
+00:48:25,370 --> 00:48:32,970
+عبارة عن مين عن D Prime الان بقيت عندنا الأخيرة
+
+426
+00:48:32,970 --> 00:48:41,410
+Phi R تسعين فى D Prime اختصارا من الآخر هتعطى لك D
+
+427
+00:48:43,390 --> 00:48:47,670
+يبقى بناء عليه هذا ال inner-automorphism جاب لي
+
+428
+00:48:47,670 --> 00:48:55,510
+مين؟ جاب ليه كل عناصر D4 بلا استثناء تماما يبقى
+
+429
+00:48:55,510 --> 00:49:03,770
+أصبح هنا الساعة اللي هو 5R90
+
+430
+00:49:03,770 --> 00:49:12,280
+لما انأثرت على D4 كلها اعطتني D4 كلهاانت ممكن تروح
+
+431
+00:49:12,280 --> 00:49:17,500
+تاخد في ر مية و تمانين و ممكن تاخد في ر ميتين و
+
+432
+00:49:17,500 --> 00:49:23,840
+سبعين و ممكن تاخد في ر اتش او تاخد في اتش و في دي
+
+433
+00:49:23,840 --> 00:49:28,340
+و في دي و في دي prime و اطلع كل واحدة على حده ليس
+
+434
+00:49:28,340 --> 00:49:33,840
+بالضرورة ان هجيبلك دي prime لكن لو اتخيلت معكوس ال
+
+435
+00:49:33,840 --> 00:49:40,340
+R تسعين هجيبلك نفس ال D prime لكن الباقي لاطيب على
+
+436
+00:49:40,340 --> 00:49:43,880
+اي حال حتى لان ما انتهناش من هذا ال section يوم
+
+437
+00:49:43,880 --> 00:49:49,400
+السبت عندك ساعتين فياريت يعني يوم السبت اتحضري اول
+
+438
+00:49:49,400 --> 00:49:54,620
+عشرة اسئلة من التمرين لان الساعة ان شاء الله بنكمل
+
+439
+00:49:54,620 --> 00:49:58,120
+فيها ال section و الساعة التانية بناخد فيها مناقشة
+
+440
+00:49:58,120 --> 00:49:58,860
+ان شاء الله
+
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/UVkw5CqJOVY_raw.json b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/UVkw5CqJOVY_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..46312cd1a475bab98b536e26fa835f9ddaba0a7e
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/UVkw5CqJOVY_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 3649, "start": 20.65, "end": 36.49, "text": "الله رحمه ورحمه أنهينا في المحاضرة الماضية شبتر تمانية كجزء نظري والان هذه المحاضرة ان شاء الله سنناقش بعض الأسئلة بقدر ما نستطيع خلال هذه الساعة ان شاء الله تعالى", "tokens": [6027, 43761, 12602, 35571, 3224, 4032, 2288, 35571, 3224, 14739, 3224, 1829, 8315, 8978, 9673, 5016, 46958, 25720, 9673, 46958, 10632, 13412, 3555, 2655, 2288, 46811, 7649, 10632, 9122, 7435, 11622, 38207, 8717, 19913, 16572, 16070, 7649, 29538, 9673, 5016, 46958, 25720, 16472, 13412, 16606, 21984, 8608, 1863, 8315, 4587, 8592, 45030, 11242, 16247, 3794, 19986, 37977, 4724, 28543, 2288, 19446, 8717, 14851, 9566, 40228, 16490, 1211, 6027, 29538, 21136, 995, 27884, 16472, 13412, 16606, 21984, 37279, 6027, 7578], "avg_logprob": -0.16464843694120646, "compression_ratio": 1.8679245283018868, "no_speech_prob": 9.715557098388672e-06, "words": [{"start": 20.65, "end": 20.97, "word": "الله", "probability": 0.4212646484375}, {"start": 20.97, "end": 21.39, "word": " رحمه", "probability": 0.8343098958333334}, {"start": 21.39, "end": 22.11, "word": " ورحمه", "probability": 0.7369384765625}, {"start": 22.11, "end": 22.91, "word": " أنهينا", "probability": 0.800048828125}, {"start": 22.91, "end": 23.01, "word": " في", "probability": 0.923828125}, {"start": 23.01, "end": 23.61, "word": " المحاضرة", "probability": 0.9732666015625}, {"start": 23.61, "end": 24.07, "word": " الماضية", "probability": 0.744140625}, {"start": 24.07, "end": 24.73, "word": " شبتر", "probability": 0.68231201171875}, {"start": 24.73, "end": 25.29, "word": " تمانية", "probability": 0.9005533854166666}, {"start": 25.29, "end": 25.83, "word": " كجزء", "probability": 0.9869384765625}, {"start": 25.83, "end": 26.31, "word": " نظري", "probability": 0.9864908854166666}, {"start": 26.31, "end": 27.19, "word": " والان", "probability": 0.57421875}, {"start": 27.19, "end": 27.47, "word": " هذه", "probability": 0.7705078125}, {"start": 27.47, "end": 28.09, "word": " المحاضرة", "probability": 0.99560546875}, {"start": 28.09, "end": 28.21, "word": " ان", "probability": 0.78466796875}, {"start": 28.21, "end": 28.45, "word": " شاء", "probability": 0.9853515625}, {"start": 28.45, "end": 28.55, "word": " الله", "probability": 0.94775390625}, {"start": 28.55, "end": 29.53, "word": " سنناقش", "probability": 0.9248046875}, {"start": 29.53, "end": 30.25, "word": " بعض", "probability": 0.952880859375}, {"start": 30.25, "end": 30.97, "word": " الأسئلة", "probability": 0.9818115234375}, {"start": 30.97, "end": 31.63, "word": " بقدر", "probability": 0.9783528645833334}, {"start": 31.63, "end": 31.75, "word": " ما", "probability": 0.978515625}, {"start": 31.75, "end": 32.59, "word": " نستطيع", "probability": 0.977294921875}, {"start": 32.59, "end": 33.39, "word": " خلال", "probability": 0.9820963541666666}, {"start": 33.39, "end": 33.85, "word": " هذه", "probability": 0.98095703125}, {"start": 33.85, "end": 35.15, "word": " الساعة", "probability": 0.9677734375}, {"start": 35.15, "end": 35.45, "word": " ان", "probability": 0.630859375}, {"start": 35.45, "end": 35.77, "word": " شاء", "probability": 0.990478515625}, {"start": 35.77, "end": 35.95, "word": " الله", "probability": 0.94921875}, {"start": 35.95, "end": 36.49, "word": " تعالى", "probability": 0.90576171875}], "temperature": 1.0}, {"id": 2, "seek": 6592, "start": 37.0, "end": 65.92, "text": "نبدأ بالاسئلة على chapter 8 والتي تتعلق بال product external direct هو نبدأ بالسؤال السادس مثلا بيقول prove by comparing orders of the element يبقى اللي بدك تستخدم طريقة المقارنة بين العناصر لإثبات أنه لإثبات أن Z8", "tokens": [1863, 44510, 10721, 20666, 32277, 19986, 37977, 15844, 7187, 1649, 16070, 31371, 6055, 2655, 30241, 4587, 20666, 1674, 8320, 2047, 31439, 8717, 44510, 10721, 20666, 3794, 33604, 6027, 21136, 18513, 3794, 50113, 15040, 4724, 1829, 39648, 7081, 538, 15763, 9470, 295, 264, 4478, 7251, 3555, 4587, 7578, 13672, 1829, 47525, 4117, 6055, 14851, 9778, 40448, 23032, 16572, 28671, 9673, 4587, 9640, 1863, 3660, 49374, 18863, 1863, 33546, 2288, 5296, 28814, 12984, 3555, 9307, 14739, 3224, 5296, 28814, 12984, 3555, 9307, 14739, 1176, 23], "avg_logprob": -0.19308036122293698, "compression_ratio": 1.5, "no_speech_prob": 0.0, "words": [{"start": 37.0, "end": 38.54, "word": "نبدأ", "probability": 0.9039713541666666}, {"start": 38.54, "end": 39.68, "word": " بالاسئلة", "probability": 0.858154296875}, {"start": 39.68, "end": 39.92, "word": " على", "probability": 0.7548828125}, {"start": 39.92, "end": 40.34, "word": " chapter", "probability": 0.5947265625}, {"start": 40.34, "end": 40.98, "word": " 8", "probability": 0.771484375}, {"start": 40.98, "end": 43.14, "word": " والتي", "probability": 0.53509521484375}, {"start": 43.14, "end": 43.82, "word": " تتعلق", "probability": 0.96484375}, {"start": 43.82, "end": 44.0, "word": " بال", "probability": 0.92578125}, {"start": 44.0, "end": 44.5, "word": " product", "probability": 0.6640625}, {"start": 44.5, "end": 44.58, "word": " external", "probability": 0.66943359375}, {"start": 44.58, "end": 45.28, "word": " direct", "probability": 0.61767578125}, {"start": 45.28, "end": 46.6, "word": " هو", "probability": 0.2001953125}, {"start": 46.6, "end": 47.1, "word": " نبدأ", "probability": 0.9332682291666666}, {"start": 47.1, "end": 47.92, "word": " بالسؤال", "probability": 0.953369140625}, {"start": 47.92, "end": 48.74, "word": " السادس", "probability": 0.9474283854166666}, {"start": 48.74, "end": 49.32, "word": " مثلا", "probability": 0.979248046875}, {"start": 49.32, "end": 50.2, "word": " بيقول", "probability": 0.8113606770833334}, {"start": 50.2, "end": 50.58, "word": " prove", "probability": 0.4208984375}, {"start": 50.58, "end": 50.84, "word": " by", "probability": 0.95947265625}, {"start": 50.84, "end": 51.52, "word": " comparing", "probability": 0.97265625}, {"start": 51.52, "end": 52.2, "word": " orders", "probability": 0.75537109375}, {"start": 52.2, "end": 52.46, "word": " of", "probability": 0.98193359375}, {"start": 52.46, "end": 52.62, "word": " the", "probability": 0.87255859375}, {"start": 52.62, "end": 52.98, "word": " element", "probability": 0.7578125}, {"start": 52.98, "end": 53.38, "word": " يبقى", "probability": 0.834716796875}, {"start": 53.38, "end": 53.58, "word": " اللي", "probability": 0.95263671875}, {"start": 53.58, "end": 53.88, "word": " بدك", "probability": 0.941162109375}, {"start": 53.88, "end": 54.44, "word": " تستخدم", "probability": 0.936279296875}, {"start": 54.44, "end": 55.24, "word": " طريقة", "probability": 0.9754231770833334}, {"start": 55.24, "end": 56.44, "word": " المقارنة", "probability": 0.99453125}, {"start": 56.44, "end": 57.2, "word": " بين", "probability": 0.978515625}, {"start": 57.2, "end": 58.46, "word": " العناصر", "probability": 0.9549560546875}, {"start": 58.46, "end": 60.32, "word": " لإثبات", "probability": 0.928125}, {"start": 60.32, "end": 61.26, "word": " أنه", "probability": 0.5560302734375}, {"start": 61.26, "end": 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وH1", "tokens": [3224, 15730, 2423, 28820, 10943, 45164, 12602, 7435, 34268, 3224, 30731, 5551, 36520, 3224, 4724, 15040, 38436, 31439, 16712, 3615, 16572, 5172, 13672, 1829, 41850, 12174, 995, 26895, 3224, 34105, 7251, 3555, 4587, 7578, 16247, 36520, 13672, 1829, 39894, 16758, 3615, 3224, 31439, 6225, 3555, 9640, 3660, 18871, 41435, 295, 460, 16, 4032, 39, 16], "avg_logprob": -0.2243303627307926, "compression_ratio": 1.416058394160584, "no_speech_prob": 0.0, "words": [{"start": 789.44, "end": 790.44, "word": "هذا", "probability": 0.77099609375}, {"start": 790.44, "end": 791.0, "word": " الكلام", "probability": 0.8525390625}, {"start": 791.0, "end": 791.22, "word": " لو", "probability": 0.7958984375}, {"start": 791.22, "end": 792.18, "word": " رجعته", "probability": 0.938720703125}, {"start": 792.18, "end": 792.58, "word": " إلى", "probability": 0.63427734375}, {"start": 792.58, "end": 793.3, "word": " أصله", "probability": 0.94384765625}, {"start": 793.3, "end": 794.14, "word": " 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"seek": 87717, "start": 855.81, "end": 877.17, "text": "يبقى هذا الكلام بده يساوي في of هذا الضرب عليه بنضرب component wise حسب ما أعرفنا عملية الضرب على ال external product يبقى ج ج prime و H H prime بالشكل اللي عندنا هذا هذا الكلام بده يساوي", "tokens": [1829, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 8978, 295, 23758, 6024, 114, 25513, 47356, 44945, 11242, 25513, 6542, 10829, 11331, 35457, 19446, 5551, 3615, 28480, 8315, 6225, 42213, 10632, 6024, 114, 25513, 15844, 2423, 8320, 1674, 7251, 3555, 4587, 7578, 10874, 10874, 5835, 4032, 389, 389, 5835, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865], "avg_logprob": -0.2562071917808219, "compression_ratio": 1.6573033707865168, "no_speech_prob": 0.0, "words": [{"start": 855.81, "end": 856.29, "word": "يبقى", "probability": 0.80865478515625}, {"start": 856.29, "end": 856.57, "word": " هذا", "probability": 0.87158203125}, {"start": 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"text": "فاي لما تأثر على هذا ال element يبقى Alpha للأول و Beta للتاني يبقى هذا Alpha of G G prime و Beta of H H prime", "tokens": [5172, 47302, 5296, 15042, 6055, 10721, 49115, 15844, 23758, 2423, 4478, 7251, 3555, 4587, 7578, 20588, 24976, 10721, 12610, 4032, 33286, 24976, 2655, 7649, 1829, 7251, 3555, 4587, 7578, 23758, 20588, 295, 460, 460, 5835, 4032, 33286, 295, 389, 389, 5835], "avg_logprob": -0.2985491206248601, "compression_ratio": 1.2881355932203389, "no_speech_prob": 0.0, "words": [{"start": 878.7, "end": 879.18, "word": "فاي", "probability": 0.4617919921875}, {"start": 879.18, "end": 879.44, "word": " لما", "probability": 0.70458984375}, {"start": 879.44, "end": 880.1, "word": " تأثر", "probability": 0.8024088541666666}, {"start": 880.1, "end": 880.4, "word": " على", "probability": 0.93603515625}, {"start": 880.4, "end": 880.78, "word": " هذا", "probability": 0.93408203125}, {"start": 880.78, "end": 881.02, "word": " ال", "probability": 0.791015625}, {"start": 881.02, 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"end": 941.1, "text": "يبقى أثار على شكل order pair السؤال هو هل ال order pair هذا بقدر أكتبه على شكل حاصل ضرب two ordered pairs؟ الإجابة نعم، كيف؟ كالتالي، شوفوا يا سيدتي، هاي باجي بقوله هنا Alpha of G بدي أخدها مع Beta of H عسب الترتيب", "tokens": [1829, 3555, 4587, 7578, 5551, 12984, 9640, 15844, 13412, 28820, 1668, 6119, 21136, 33604, 6027, 31439, 8032, 1211, 2423, 1668, 6119, 23758, 4724, 28543, 2288, 5551, 4117, 2655, 3555, 3224, 15844, 13412, 28820, 11331, 33546, 1211, 48812, 25513, 732, 8866, 15494, 22807, 33688, 7435, 16758, 3660, 8717, 25957, 12399, 9122, 33911, 22807, 9122, 6027, 2655, 6027, 1829, 12399, 13412, 38688, 14407, 35186, 8608, 25708, 31371, 12399, 8032, 47302, 4724, 26108, 1829, 4724, 39648, 3224, 34105, 20588, 295, 460, 4724, 16254, 5551, 9778, 3215, 11296, 20449, 33286, 295, 389, 6225, 35457, 16712, 2288, 31371, 3555], "avg_logprob": -0.26694078068984184, "compression_ratio": 1.5044642857142858, "no_speech_prob": 0.0, "words": [{"start": 915.7, "end": 916.36, 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"word": " قلتلك", "probability": 0.968994140625}, {"start": 2210.61, "end": 2211.71, "word": " subgroup", "probability": 0.890869140625}, {"start": 2211.71, "end": 2212.63, "word": " generated", "probability": 0.89501953125}, {"start": 2212.63, "end": 2213.09, "word": " by", "probability": 0.9921875}, {"start": 2213.09, "end": 2213.69, "word": " اتنين", "probability": 0.963623046875}, {"start": 2213.69, "end": 2214.39, "word": " وواحد", "probability": 0.92919921875}, {"start": 2214.39, "end": 2215.37, "word": " أربعة", "probability": 0.8992513020833334}], "temperature": 1.0}, {"id": 95, "seek": 223344, "start": 2218.86, "end": 2233.44, "text": "طب لو قلت لك subgroup generated by واحد و تلاتة طيب لو قلت لك subgroup generated by تلاتة و واحد", "tokens": [9566, 3555, 45164, 12174, 1211, 2655, 5296, 4117, 1422, 17377, 10833, 538, 36764, 24401, 4032, 6055, 1211, 9307, 3660, 23032, 1829, 3555, 45164, 12174, 1211, 2655, 5296, 4117, 1422, 17377, 10833, 538, 6055, 1211, 9307, 3660, 4032, 36764, 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"word": " و", "probability": 0.92236328125}, {"start": 2257.27, "end": 2257.89, "word": " اتنين", "probability": 0.976318359375}, {"start": 2257.89, "end": 2258.09, "word": " و", "probability": 0.9833984375}, {"start": 2258.09, "end": 2258.57, "word": " zero", "probability": 0.7998046875}, {"start": 2258.57, "end": 2259.19, "word": " و", "probability": 0.96240234375}, {"start": 2259.19, "end": 2259.67, "word": " اتنين", "probability": 0.96240234375}, {"start": 2259.67, "end": 2259.79, "word": " و", "probability": 0.98681640625}, {"start": 2259.79, "end": 2260.31, "word": " اتنين", "probability": 0.9853515625}], "temperature": 1.0}, {"id": 97, "seek": 227594, "start": 2261.05, "end": 2275.95, "text": "تعالى فى الأول نشوفها subgroup ولا لأ طبع ال order اللى هيه يسوى أربعة تمام لو جاتى لهذه اتنين و اتنين جمعنا بصير كده اتنين و اتنين نربعها", "tokens": [2655, 3615, 6027, 7578, 6156, 7578, 16247, 12610, 8717, 8592, 38688, 11296, 1422, 17377, 49429, 5296, 10721, 23032, 3555, 3615, 2423, 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"probability": 0.91015625}, {"start": 2755.35, "end": 2756.73, "word": " order", "probability": 0.91943359375}, {"start": 2756.73, "end": 2757.03, "word": " one", "probability": 0.5556640625}], "temperature": 1.0}, {"id": 118, "seek": 278181, "start": 2757.29, "end": 2781.81, "text": "تلاتة طبعا كله ممكن لإن التلاتة بتجسم الخمستاش والواحد بيجسم الأربعة والتلاتة بتجسم الأتناش يعني for example for example ال group generated by أربعة ال order اللي قدش ساوي هنا", "tokens": [2655, 1211, 9307, 3660, 23032, 3555, 3615, 995, 28242, 3224, 3714, 43020, 5296, 28814, 1863, 16712, 1211, 9307, 3660, 39894, 7435, 38251, 33962, 2304, 14851, 33599, 16070, 14407, 24401, 4724, 1829, 7435, 38251, 16247, 25513, 27884, 16070, 2655, 1211, 9307, 3660, 39894, 7435, 38251, 16247, 2655, 1863, 33599, 37495, 22653, 337, 1365, 337, 1365, 2423, 1594, 10833, 538, 5551, 25513, 27884, 2423, 1668, 13672, 1829, 12174, 3215, 8592, 8608, 995, 45865, 34105], "avg_logprob": -0.3266267155947751, "compression_ratio": 1.6766467065868262, "no_speech_prob": 0.0, "words": [{"start": 2757.29, "end": 2757.91, "word": "تلاتة", "probability": 0.708221435546875}, {"start": 2757.91, "end": 2758.39, "word": " طبعا", "probability": 0.8587646484375}, {"start": 2758.39, "end": 2758.85, "word": " كله", "probability": 0.9306640625}, {"start": 2758.85, "end": 2759.37, "word": " ممكن", "probability": 0.980224609375}, {"start": 2759.37, "end": 2760.13, "word": " لإن", "probability": 0.7223307291666666}, {"start": 2760.13, "end": 2760.63, "word": " التلاتة", "probability": 0.9095458984375}, {"start": 2760.63, "end": 2761.11, "word": " بتجسم", "probability": 0.7347005208333334}, {"start": 2761.11, "end": 2762.01, "word": " الخمستاش", "probability": 0.7679443359375}, {"start": 2762.01, "end": 2762.77, "word": " والواحد", "probability": 0.8124186197916666}, {"start": 2762.77, "end": 2763.29, "word": " بيجسم", "probability": 0.78826904296875}, {"start": 2763.29, "end": 2764.03, "word": " الأربعة", "probability": 0.8805338541666666}, {"start": 2764.03, "end": 2766.29, "word": " والتلاتة", "probability": 0.87802734375}, {"start": 2766.29, "end": 2766.93, "word": " بتجسم", "probability": 0.8942057291666666}, {"start": 2766.93, "end": 2768.73, "word": " الأتناش", "probability": 0.698028564453125}, {"start": 2768.73, "end": 2769.71, "word": " يعني", "probability": 0.86376953125}, {"start": 2769.71, "end": 2770.35, "word": " for", "probability": 0.63818359375}, {"start": 2770.35, "end": 2771.15, "word": " example", "probability": 0.974609375}, {"start": 2771.15, "end": 2771.99, "word": " for", "probability": 0.252685546875}, {"start": 2771.99, "end": 2773.37, "word": " example", "probability": 0.96923828125}, {"start": 2773.37, "end": 2777.19, "word": " ال", "probability": 0.396728515625}, {"start": 2777.19, "end": 2777.53, "word": " group", "probability": 0.88037109375}, {"start": 2777.53, "end": 2778.29, "word": " generated", "probability": 0.76708984375}, {"start": 2778.29, "end": 2778.77, "word": " by", "probability": 0.9814453125}, {"start": 2778.77, "end": 2779.45, "word": " أربعة", "probability": 0.8448893229166666}, {"start": 2779.45, "end": 2779.93, "word": " ال", "probability": 0.80517578125}, {"start": 2779.93, "end": 2780.35, "word": " order", "probability": 0.96240234375}, {"start": 2780.35, "end": 2780.53, "word": " اللي", "probability": 0.56768798828125}, {"start": 2780.53, "end": 2781.03, "word": " قدش", "probability": 0.5092569986979166}, {"start": 2781.03, "end": 2781.45, "word": " ساوي", "probability": 0.72509765625}, {"start": 2781.45, "end": 2781.81, "word": " هنا", "probability": 0.97802734375}], "temperature": 1.0}, {"id": 119, "seek": 280000, "start": 2784.58, "end": 2800.0, "text": "ثلاثة تمام هاي ليش اربعة ال zero اربعة تمانية يبقى ال order لها تساوي تلاتة و ال zero ال order له يساوي كدهش واحد من التانية هذه", "tokens": [12984, 1211, 5718, 104, 3660, 46811, 10943, 8032, 47302, 32239, 8592, 1975, 25513, 27884, 2423, 4018, 1975, 25513, 27884, 46811, 7649, 10632, 7251, 3555, 4587, 7578, 2423, 1668, 5296, 11296, 6055, 3794, 995, 45865, 6055, 1211, 9307, 3660, 4032, 2423, 4018, 2423, 1668, 46740, 7251, 3794, 995, 45865, 9122, 3215, 3224, 8592, 36764, 24401, 9154, 16712, 7649, 10632, 29538], "avg_logprob": -0.35598957240581514, "compression_ratio": 1.6307692307692307, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2784.58, "end": 2785.42, "word": "ثلاثة", "probability": 0.695166015625}, {"start": 2785.42, "end": 2785.98, "word": " تمام", "probability": 0.68603515625}, {"start": 2785.98, "end": 2786.66, "word": " هاي", "probability": 0.3197021484375}, {"start": 2786.66, "end": 2787.12, "word": " ليش", "probability": 0.72998046875}, {"start": 2787.12, "end": 2787.86, "word": " اربعة", "probability": 0.7462565104166666}, {"start": 2787.86, "end": 2788.16, "word": " ال", "probability": 0.489990234375}, {"start": 2788.16, "end": 2788.54, "word": " zero", "probability": 0.45458984375}, {"start": 2788.54, "end": 2789.32, "word": " اربعة", "probability": 0.8741861979166666}, {"start": 2789.32, "end": 2789.98, "word": " تمانية", "probability": 0.9855143229166666}, {"start": 2789.98, "end": 2790.86, "word": " يبقى", "probability": 0.9703369140625}, {"start": 2790.86, "end": 2791.0, "word": " ال", "probability": 0.8798828125}, {"start": 2791.0, "end": 2791.52, "word": " order", "probability": 0.982421875}, {"start": 2791.52, "end": 2792.06, "word": " لها", "probability": 0.561004638671875}, {"start": 2792.06, "end": 2793.04, "word": " تساوي", "probability": 0.5919189453125}, {"start": 2793.04, "end": 2794.02, "word": " تلاتة", "probability": 0.9315185546875}, {"start": 2794.02, "end": 2794.46, "word": " و", "probability": 0.416748046875}, {"start": 2794.46, "end": 2795.28, "word": " ال", "probability": 0.79248046875}, {"start": 2795.28, "end": 2795.72, "word": " zero", "probability": 0.80224609375}, {"start": 2795.72, "end": 2796.32, "word": " ال", "probability": 0.8359375}, {"start": 2796.32, "end": 2796.74, "word": " order", "probability": 0.982421875}, {"start": 2796.74, "end": 2797.0, "word": " له", "probability": 0.55712890625}, {"start": 2797.0, "end": 2797.36, "word": " يساوي", "probability": 0.8939208984375}, {"start": 2797.36, "end": 2798.04, "word": " كدهش", "probability": 0.6363525390625}, {"start": 2798.04, "end": 2798.82, "word": " واحد", "probability": 0.908935546875}, {"start": 2798.82, "end": 2799.1, "word": " من", "probability": 0.9130859375}, {"start": 2799.1, "end": 2799.68, "word": " التانية", "probability": 0.9505208333333334}, {"start": 2799.68, "end": 2800.0, "word": " هذه", "probability": 0.6337890625}], "temperature": 1.0}, {"id": 120, "seek": 282697, "start": 2800.49, "end": 2826.97, "text": "والثالثة بداخل من خمستاشر بداخل ال group generated by خمسة ال order كمان يساوي كم؟ يساوي تلاتة يبقى ال order يساوي تلاتة بالشكل اللي عندنا هنا يبقى ال least يبقى ال order لل external direct product ال order لل external direct product", "tokens": [2407, 6027, 12984, 6027, 12984, 3660, 47525, 47283, 1211, 9154, 16490, 2304, 14851, 33599, 2288, 47525, 47283, 1211, 2423, 1594, 10833, 538, 16490, 2304, 3794, 3660, 2423, 1668, 9122, 2304, 7649, 7251, 3794, 995, 45865, 9122, 2304, 22807, 7251, 3794, 995, 45865, 6055, 1211, 9307, 3660, 7251, 3555, 4587, 7578, 2423, 1668, 7251, 3794, 995, 45865, 6055, 1211, 9307, 3660, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 34105, 7251, 3555, 4587, 7578, 2423, 1935, 7251, 3555, 4587, 7578, 2423, 1668, 24976, 8320, 2047, 1674, 2423, 1668, 24976, 8320, 2047, 1674], "avg_logprob": -0.23986951007947818, "compression_ratio": 1.9542857142857142, "no_speech_prob": 0.0, "words": [{"start": 2800.49, "end": 2801.79, "word": "والثالثة", "probability": 0.7847086588541666}, {"start": 2801.79, "end": 2802.65, "word": " بداخل", "probability": 0.5865071614583334}, {"start": 2802.65, "end": 2803.23, "word": " من", "probability": 0.8740234375}, {"start": 2803.23, "end": 2804.15, "word": " خمستاشر", "probability": 0.77744140625}, {"start": 2804.15, "end": 2804.69, "word": " بداخل", "probability": 0.8800455729166666}, {"start": 2804.69, "end": 2804.85, "word": " ال", "probability": 0.2149658203125}, {"start": 2804.85, "end": 2805.19, "word": " group", "probability": 0.61083984375}, {"start": 2805.19, "end": 2805.93, "word": " generated", "probability": 0.712890625}, {"start": 2805.93, "end": 2806.57, "word": " by", "probability": 0.89501953125}, {"start": 2806.57, "end": 2807.67, "word": " خمسة", "probability": 0.9627685546875}, {"start": 2807.67, "end": 2808.13, "word": " ال", "probability": 0.68212890625}, {"start": 2808.13, "end": 2808.51, "word": " order", "probability": 0.9384765625}, {"start": 2808.51, "end": 2808.91, "word": " كمان", "probability": 0.76513671875}, {"start": 2808.91, "end": 2809.49, "word": " يساوي", "probability": 0.70281982421875}, {"start": 2809.49, "end": 2810.23, "word": " كم؟", "probability": 0.51416015625}, {"start": 2810.23, "end": 2811.13, "word": " يساوي", "probability": 0.939453125}, {"start": 2811.13, "end": 2811.87, "word": " تلاتة", "probability": 0.9339599609375}, {"start": 2811.87, "end": 2812.61, "word": " يبقى", "probability": 0.9139404296875}, {"start": 2812.61, "end": 2812.75, "word": " ال", "probability": 0.96533203125}, {"start": 2812.75, "end": 2813.21, "word": " order", "probability": 0.9765625}, {"start": 2813.21, "end": 2814.25, "word": " يساوي", "probability": 0.8544921875}, {"start": 2814.25, "end": 2814.93, "word": " تلاتة", "probability": 0.8941650390625}, {"start": 2814.93, "end": 2815.47, "word": " بالشكل", "probability": 0.9264322916666666}, {"start": 2815.47, "end": 2815.63, "word": " اللي", "probability": 0.929443359375}, {"start": 2815.63, "end": 2816.01, "word": " عندنا", "probability": 0.830078125}, {"start": 2816.01, "end": 2816.25, "word": " هنا", "probability": 0.83056640625}, {"start": 2816.25, "end": 2816.97, "word": " يبقى", "probability": 0.973876953125}, {"start": 2816.97, "end": 2817.15, "word": " ال", "probability": 0.78173828125}, {"start": 2817.15, "end": 2817.45, "word": " least", "probability": 0.348876953125}, {"start": 2817.45, "end": 2818.23, "word": " يبقى", "probability": 0.8922119140625}, {"start": 2818.23, "end": 2818.67, "word": " ال", "probability": 0.91552734375}, {"start": 2818.67, "end": 2819.39, "word": " order", "probability": 0.97119140625}, {"start": 2819.39, "end": 2819.63, "word": " لل", "probability": 0.64794921875}, {"start": 2819.63, "end": 2820.17, "word": " external", "probability": 0.859375}, {"start": 2820.17, "end": 2820.61, "word": " direct", "probability": 0.67431640625}, {"start": 2820.61, "end": 2821.37, "word": " product", "probability": 0.96435546875}, {"start": 2821.37, "end": 2822.31, "word": " ال", "probability": 0.444091796875}, {"start": 2822.31, "end": 2823.77, "word": " order", "probability": 0.9755859375}, {"start": 2823.77, "end": 2824.61, "word": " لل", "probability": 0.908203125}, {"start": 2824.61, "end": 2825.45, "word": " external", "probability": 0.70458984375}, {"start": 2825.45, "end": 2826.07, "word": " direct", "probability": 0.876953125}, {"start": 2826.07, "end": 2826.97, "word": " product", "probability": 0.96435546875}], "temperature": 1.0}, {"id": 121, "seek": 285510, "start": 2827.34, "end": 2855.1, "text": "مع من؟ مع الـ zero مع من؟ مع الـ subgroup generated by خمسة ال order لها يساوي ال order لل subgroup generated by أربعة لمن ال order ل ال zero في ال order لل subgroup generated by خمسة و يساوي تلاتة في واحد في تلاتة و يساوي تسعة", "tokens": [2304, 3615, 9154, 22807, 20449, 2423, 39184, 4018, 20449, 9154, 22807, 20449, 2423, 39184, 1422, 17377, 10833, 538, 16490, 2304, 3794, 3660, 2423, 1668, 5296, 11296, 7251, 3794, 995, 45865, 2423, 1668, 24976, 1422, 17377, 10833, 538, 5551, 25513, 27884, 5296, 27842, 2423, 1668, 5296, 2423, 4018, 8978, 2423, 1668, 24976, 1422, 17377, 10833, 538, 16490, 2304, 3794, 3660, 4032, 7251, 3794, 995, 45865, 6055, 1211, 9307, 3660, 8978, 36764, 24401, 8978, 6055, 1211, 9307, 3660, 4032, 7251, 3794, 995, 45865, 6055, 3794, 27884], "avg_logprob": -0.2213235245031469, "compression_ratio": 2.104575163398693, "no_speech_prob": 7.748603820800781e-07, "words": [{"start": 2827.34, "end": 2828.88, "word": "مع", "probability": 0.4797515869140625}, {"start": 2828.88, "end": 2829.42, "word": " من؟", "probability": 0.5048828125}, {"start": 2829.42, "end": 2829.98, "word": " مع", "probability": 0.8603515625}, {"start": 2829.98, "end": 2830.74, "word": " الـ", "probability": 0.787353515625}, {"start": 2830.74, "end": 2831.36, "word": " zero", "probability": 0.23291015625}, {"start": 2831.36, "end": 2832.8, "word": " مع", "probability": 0.60546875}, {"start": 2832.8, "end": 2833.54, "word": " من؟", "probability": 0.93994140625}, {"start": 2833.54, "end": 2834.02, "word": " مع", "probability": 0.9541015625}, {"start": 2834.02, "end": 2834.28, "word": " الـ", "probability": 0.57177734375}, {"start": 2834.28, "end": 2834.92, "word": " subgroup", "probability": 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0.81298828125}, {"start": 2840.98, "end": 2841.46, "word": " by", "probability": 0.97607421875}, {"start": 2841.46, "end": 2842.16, "word": " أربعة", "probability": 0.89794921875}, {"start": 2842.16, "end": 2843.14, "word": " لمن", "probability": 0.85302734375}, {"start": 2843.14, "end": 2843.4, "word": " ال", "probability": 0.9560546875}, {"start": 2843.4, "end": 2843.98, "word": " order", "probability": 0.97607421875}, {"start": 2843.98, "end": 2844.38, "word": " ل", "probability": 0.66015625}, {"start": 2844.38, "end": 2844.96, "word": " ال", "probability": 0.7744140625}, {"start": 2844.96, "end": 2845.48, "word": " zero", "probability": 0.8115234375}, {"start": 2845.48, "end": 2846.16, "word": " في", "probability": 0.591796875}, {"start": 2846.16, "end": 2846.42, "word": " ال", "probability": 0.95751953125}, {"start": 2846.42, "end": 2846.98, "word": " order", "probability": 0.97412109375}, {"start": 2846.98, "end": 2847.38, "word": " لل", "probability": 0.93310546875}, {"start": 2847.38, "end": 2848.1, "word": " subgroup", "probability": 0.96435546875}, {"start": 2848.1, "end": 2848.78, "word": " generated", "probability": 0.88330078125}, {"start": 2848.78, "end": 2849.26, "word": " by", "probability": 0.98095703125}, {"start": 2849.26, "end": 2850.12, "word": " خمسة", "probability": 0.9942626953125}, {"start": 2850.12, "end": 2850.58, "word": " و", "probability": 0.931640625}, {"start": 2850.58, "end": 2851.32, "word": " يساوي", "probability": 0.83636474609375}, {"start": 2851.32, "end": 2852.24, "word": " تلاتة", "probability": 0.9630126953125}, {"start": 2852.24, "end": 2852.46, "word": " في", "probability": 0.94775390625}, {"start": 2852.46, "end": 2853.04, "word": " واحد", "probability": 0.989501953125}, {"start": 2853.04, "end": 2853.28, "word": " في", "probability": 0.98388671875}, {"start": 2853.28, "end": 2853.92, "word": " تلاتة", "probability": 0.9791259765625}, {"start": 2853.92, "end": 2854.1, "word": " و", "probability": 0.9169921875}, {"start": 2854.1, "end": 2854.58, "word": " يساوي", "probability": 0.962646484375}, {"start": 2854.58, "end": 2855.1, "word": " تسعة", "probability": 0.9671223958333334}], "temperature": 1.0}, {"id": 122, "seek": 286636, "start": 2855.62, "end": 2866.36, "text": "يبقى هي جبتله subgroup من ال group الأصلية ال order إلها يساوي تسعة كان هذا سؤال اتنين و تلاتين", "tokens": [1829, 3555, 4587, 7578, 39896, 10874, 3555, 2655, 43761, 1422, 17377, 9154, 2423, 1594, 16247, 36520, 10632, 2423, 1668, 11933, 1211, 11296, 7251, 3794, 995, 45865, 6055, 3794, 27884, 25961, 23758, 8608, 33604, 6027, 1975, 2655, 1863, 9957, 4032, 6055, 1211, 9307, 9957], "avg_logprob": -0.1784446036273783, "compression_ratio": 1.2941176470588236, "no_speech_prob": 0.0, "words": [{"start": 2855.62, "end": 2856.08, "word": "يبقى", "probability": 0.8736572265625}, {"start": 2856.08, "end": 2856.2, "word": " هي", "probability": 0.407470703125}, {"start": 2856.2, "end": 2856.68, "word": " جبتله", "probability": 0.846435546875}, {"start": 2856.68, "end": 2857.68, "word": " subgroup", "probability": 0.5999755859375}, {"start": 2857.68, "end": 2858.28, "word": " من", "probability": 0.97021484375}, {"start": 2858.28, "end": 2858.38, "word": " ال", "probability": 0.73486328125}, {"start": 2858.38, "end": 2858.66, "word": " group", "probability": 0.89697265625}, {"start": 2858.66, "end": 2859.76, "word": " الأصلية", "probability": 0.7970377604166666}, {"start": 2859.76, "end": 2860.06, "word": " ال", "probability": 0.9501953125}, {"start": 2860.06, "end": 2860.54, "word": " order", "probability": 0.97509765625}, {"start": 2860.54, "end": 2861.04, "word": " إلها", "probability": 0.7364908854166666}, {"start": 2861.04, "end": 2861.7, "word": " يساوي", "probability": 0.9599609375}, {"start": 2861.7, "end": 2862.22, "word": " تسعة", "probability": 0.8966471354166666}, {"start": 2862.22, "end": 2862.92, "word": " كان", "probability": 0.86962890625}, {"start": 2862.92, "end": 2863.32, "word": " هذا", "probability": 0.94921875}, {"start": 2863.32, "end": 2864.26, "word": " سؤال", "probability": 0.9866536458333334}, {"start": 2864.26, "end": 2865.32, "word": " اتنين", "probability": 0.9346923828125}, {"start": 2865.32, "end": 2865.68, "word": " و", "probability": 0.5322265625}, {"start": 2865.68, "end": 2866.36, "word": " تلاتين", "probability": 0.9224853515625}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2867.33925, "duration_after_vad": 2735.698124999987}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/UVkw5CqJOVY_raw.srt b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/UVkw5CqJOVY_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..f165f87d753a4ac3ce9990abf6d5b1334d5ccac0
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/UVkw5CqJOVY_raw.srt
@@ -0,0 +1,1856 @@
+1
+00:00:20,650 --> 00:00:24,730
+الله رحمه ورحمه أنهينا في المحاضرة الماضية شبتر
+
+2
+00:00:24,730 --> 00:00:28,550
+تمانية كجزء نظري والان هذه المحاضرة ان شاء الله
+
+3
+00:00:28,550 --> 00:00:35,150
+سنناقش بعض الأسئلة بقدر ما نستطيع خلال هذه الساعة
+
+4
+00:00:35,150 --> 00:00:43,140
+ان شاء الله تعالىنبدأ بالاسئلة على chapter 8 والتي
+
+5
+00:00:43,140 --> 00:00:47,920
+تتعلق بال product external direct هو نبدأ بالسؤال
+
+6
+00:00:47,920 --> 00:00:52,620
+السادس مثلا بيقول prove by comparing orders of the
+
+7
+00:00:52,620 --> 00:00:57,200
+element يبقى اللي بدك تستخدم طريقة المقارنة بين
+
+8
+00:00:57,200 --> 00:01:08,610
+العناصر لإثبات أنه لإثبات أن Z8external direct
+
+9
+00:01:08,610 --> 00:01:17,670
+product مع z2 is not isomorphic
+
+10
+00:01:17,670 --> 00:01:18,970
+الى z4
+
+11
+00:01:23,930 --> 00:01:28,970
+يبقى دلني على طريقة يقولي استخدملي ال orders لل
+
+12
+00:01:28,970 --> 00:01:33,270
+element في كلا ال two groups للحكم على أن ال group
+
+13
+00:01:33,270 --> 00:01:37,930
+الأولى ليست isomorphic لل group التانية فمثلا لو
+
+14
+00:01:37,930 --> 00:01:41,810
+جيت لل group الأولى هل فيها element of order
+
+15
+00:01:41,810 --> 00:01:49,270
+تمانية بالمرة Z تمانية X تانية ضايقة product مع Z
+
+16
+00:01:49,270 --> 00:01:49,730
+اتنين
+
+17
+00:01:53,360 --> 00:01:59,800
+بس فيها .. فيها اتنين والتمانية ولا جزاك؟ تمانية
+
+18
+00:01:59,800 --> 00:02:05,740
+واتنين الواحد
+
+19
+00:02:05,740 --> 00:02:09,080
+والواحد
+
+20
+00:02:09,080 --> 00:02:14,500
+كويس، في غيره؟الواحد والصفر يبقى عندي بدل ال
+
+21
+00:02:14,500 --> 00:02:18,020
+element اتنين ال orders اللي هم يسووا تمانية
+
+22
+00:02:18,020 --> 00:02:22,560
+الواحد في ال Z تمانية ال order اللي هو تمانية ال
+
+23
+00:02:22,560 --> 00:02:25,280
+zero ال order اللي هو واحد ال least common
+
+24
+00:02:25,280 --> 00:02:28,660
+multiple بين التمانية والواحد اللي هو تمانية مظبوط
+
+25
+00:02:28,660 --> 00:02:35,800
+يبقى هنا عندي ال element واحد و zero موجود في Z
+
+26
+00:02:35,800 --> 00:02:42,970
+تمانية external direct product with orderاللي هو
+
+27
+00:02:42,970 --> 00:02:48,030
+تمانية ال order لهذا ال element تمانية الآن بنجي ل
+
+28
+00:02:48,030 --> 00:02:52,590
+Z أربعة كسنة product مع Z أربعة هل بتلاقي في
+
+29
+00:02:52,590 --> 00:02:56,430
+element ال order اللي بيساوي تمانية رغم أنه ستة
+
+30
+00:02:56,430 --> 00:03:02,410
+عشر عنصر ها في element Z أربعة ال order لهم يا اما
+
+31
+00:03:02,410 --> 00:03:06,790
+واحد يا اما اتنين يا اربعة والتاني واحد واتنين
+
+32
+00:03:06,790 --> 00:03:10,410
+واربعة هل في least common multiple فيهم اكتر من
+
+33
+00:03:10,410 --> 00:03:15,710
+اربعةالذي يسكب الملتقب لهذه ال order فيه أكتر من
+
+34
+00:03:15,710 --> 00:03:24,090
+أربعة ماعنديهش يبقى باجي بقوله بطولكن ال Z أربعة
+
+35
+00:03:24,090 --> 00:03:34,830
+external product مع Z أربعة has no element of
+
+36
+00:03:34,830 --> 00:03:38,990
+order تمانية because
+
+37
+00:03:41,450 --> 00:03:54,550
+The maximum order in Z4 is 4
+
+38
+00:03:57,180 --> 00:04:00,700
+لأن ال order لل element بيقسم ال order لل group
+
+39
+00:04:00,700 --> 00:04:04,580
+إذا z أربعة لا يوجد فيها إلا ال elements ال order
+
+40
+00:04:04,580 --> 00:04:09,580
+الواحد اللي هو ال identity والتنين اللي هو العدد
+
+41
+00:04:09,580 --> 00:04:13,740
+اتنين وكذلك الأربعة اللي هو العدد واحد وتلاتة
+
+42
+00:04:13,740 --> 00:04:19,380
+تمام؟ يبقى من هنا أقصى order عندي في z أربعة كسيرة
+
+43
+00:04:19,380 --> 00:04:23,760
+ضيقة كبيرة زي z أربعة هو أربعة وهذه تمانية يبقى
+
+44
+00:04:23,760 --> 00:04:29,010
+اتنين هذول ما لهم ارنبisomorphic يبقى التزام في
+
+45
+00:04:29,010 --> 00:04:33,810
+الكلام اللي قاليا وصلت للنتيجة بدنا نروح لسؤال
+
+46
+00:04:33,810 --> 00:04:42,490
+أربعتاش سؤال أربعتاش بيقول ما ياتي suppose ال G1
+
+47
+00:04:42,490 --> 00:04:53,490
+isomorphic إلى G2 و group تانية H1 isomorphic لمن؟
+
+48
+00:04:53,490 --> 00:05:03,330
+لH2هو H1 ايزو مارفك لـ H2 prove that اثبت انه الـ
+
+49
+00:05:03,330 --> 00:05:10,530
+G1 externodic product مع H1 ايزو مارفك لـ G2
+
+50
+00:05:10,530 --> 00:05:19,550
+externodic product مع H2 هذا اللي احنا بدنا نروح
+
+51
+00:05:19,550 --> 00:05:26,330
+نثبتهإذا دائما و أبدا بنحاول نستفيد من المعطيات
+
+52
+00:05:26,330 --> 00:05:31,190
+اللي عندنا في إثبات المطلوب هدول two groups are
+
+53
+00:05:31,190 --> 00:05:35,790
+isomorphic هدول two groups are isomorphic أخدت ال
+
+54
+00:05:35,790 --> 00:05:38,830
+external product ما بين ال group الأولى و ال group
+
+55
+00:05:38,830 --> 00:05:42,280
+الأولى من المجموعة التانيةوالجروب التانية مع
+
+56
+00:05:42,280 --> 00:05:46,480
+الجروب التانية بدي أثبت انه اللي هو ال external
+
+57
+00:05:46,480 --> 00:05:50,460
+product هذا ماله isomorphic لل external product
+
+58
+00:05:50,460 --> 00:05:55,480
+اللي عندنا هذا يبقى الحلقة التالية solution
+
+59
+00:06:00,220 --> 00:06:09,660
+أفترض أن الـ Alpha من الـ G1 إلى الـ G2 و الـ Beta
+
+60
+00:06:09,660 --> 00:06:18,860
+من الـ H1 إلى الـ H2 هم إيزو مورفيزم
+
+61
+00:06:20,010 --> 00:06:24,330
+يبقى بدي افترض ان هدول الاتنين ايزو مورفزم الان
+
+62
+00:06:24,330 --> 00:06:29,750
+هذا مشان اثبت ان اتنين ايزو مورفزم بدي اعرف
+
+63
+00:06:29,750 --> 00:06:33,530
+function من الجروب الاولى الى الجروب التانى و اثبت
+
+64
+00:06:33,530 --> 00:06:37,390
+انها one to one and one to one وتخدم خاصية الايزو
+
+65
+00:06:37,390 --> 00:06:40,710
+مورفزم اذا بدي اقوله define
+
+66
+00:06:43,180 --> 00:06:52,220
+A function في من الـ G1 وH1 كإكستير نضايق product
+
+67
+00:06:52,220 --> 00:06:55,760
+من
+
+68
+00:06:55,760 --> 00:07:05,860
+الـ G1 وH1 لمين؟ لـ G2 كإكستير نضايق product مع H2
+
+69
+00:07:05,860 --> 00:07:16,200
+باي في ofبدي اخد element من G1 واليكن G وH فعلي ما
+
+70
+00:07:16,200 --> 00:07:24,520
+تأثر على G وH بدي اوديها وين؟ في ال group G2 وH2
+
+71
+00:07:24,520 --> 00:07:31,280
+طيب G2 هذه مش هي G2 هذه صح؟ اذا ال element اللي
+
+72
+00:07:31,280 --> 00:07:37,350
+هنا هو صورة ل element من هناالفانكشن من هنا لهنا
+
+73
+00:07:37,350 --> 00:07:44,510
+شو سميتها Alpha يبقى هذه بقدر اخدها Alpha of G
+
+74
+00:07:44,510 --> 00:07:52,690
+يبقى هذه بقدر اقول Alpha of G ليش؟ لأن Alpha of GG
+
+75
+00:07:52,690 --> 00:07:59,210
+موجودة في G1 واحنا عندنا هنا G موجودة في G1 يبقى
+
+76
+00:07:59,210 --> 00:08:04,350
+هنا صورتها في G2 صورتها في G2 اللي Alpha of G
+
+77
+00:08:05,900 --> 00:08:12,960
+بتداجر لل H ال H موجودة في ال H1 تمام انا عندي
+
+78
+00:08:12,960 --> 00:08:18,140
+Beta من H1 الى H2 يبقى H اللي موجودة في H1 ثورة
+
+79
+00:08:18,140 --> 00:08:25,520
+تبقى Beta of H يبقى هذا Beta of H بالشكل اللي
+
+80
+00:08:25,520 --> 00:08:32,520
+عندنايبقى هكذا اعرفت الدالة تعريفا سليما الان هذه
+
+81
+00:08:32,520 --> 00:08:37,400
+الدالة بدى احاول اثبت انها one to one and unto
+
+82
+00:08:37,400 --> 00:08:42,120
+وتخدم خاصية ال isomorphism ان تم لذلك يبقى بيكونوا
+
+83
+00:08:42,120 --> 00:08:45,660
+اتنين هذول are isomorphic وبكون انت هنا من هالشغل
+
+84
+00:08:45,660 --> 00:08:51,020
+هادى يبقى بدى اجي للخطوة الاولى بدى اثبتله ان فاي
+
+85
+00:08:51,020 --> 00:08:58,240
+is one to oneمشان هيك بدي أخد صورتين متساويتين
+
+86
+00:08:58,240 --> 00:09:08,360
+Assume Phi of G وH بدي ساوي Phi of X وY مثلا إذا
+
+87
+00:09:08,360 --> 00:09:14,420
+قدرت أثبت إن ال order pair G وH هو ال order pair X
+
+88
+00:09:14,420 --> 00:09:16,540
+وY بكون انتهينا من الشغل يعني
+
+89
+00:09:19,880 --> 00:09:25,740
+بتداجي لصورة ال element الأول حسب التعريف يبقى
+
+90
+00:09:25,740 --> 00:09:35,420
+Alpha of G و Beta of H يبقى هذه تبقى Alpha of G و
+
+91
+00:09:35,420 --> 00:09:41,760
+Beta of H بالشكل اللي عندنا هناالـ Phi of X بنفس
+
+92
+00:09:41,760 --> 00:09:51,500
+الطريقة يبقى هادي Alpha of X الصورة والتانية Beta
+
+93
+00:09:51,500 --> 00:09:53,920
+of Y الشكل اللي عندها
+
+94
+00:09:57,060 --> 00:10:01,740
+بناء على هذا الكلام صار عندى two ordered pair are
+
+95
+00:10:01,740 --> 00:10:05,240
+equal يبقى المركبة الأولى هتساوي المركبة الأولى
+
+96
+00:10:05,240 --> 00:10:10,020
+والمركبة الثانية هتساوي المركبة الثانية يبقى بناء
+
+97
+00:10:10,020 --> 00:10:17,900
+عليه Alpha of G بديه يساوي Alpha of X and Beta of
+
+98
+00:10:17,900 --> 00:10:24,180
+H بديه يساوي Beta of Y شوف هذا شو بديه يعطيناالآن
+
+99
+00:10:24,180 --> 00:10:29,940
+الـ Alpha هذي isomorphism يبقى one to one and unto
+
+100
+00:10:29,940 --> 00:10:34,960
+إذا مدام one to one يبقى الـ G بده يساوي اللي هو
+
+101
+00:10:34,960 --> 00:10:42,960
+main ال X يبقى هنا الـ G بده يساوي ال X and ال H
+
+102
+00:10:42,960 --> 00:10:51,920
+بده يساوي ال Y السبب بسبب أن Alpha و Beta هم one
+
+103
+00:10:51,920 --> 00:10:57,500
+to oneما دام صورتين متساويتين إذا الأصل متساوي لإن
+
+104
+00:10:57,500 --> 00:11:02,000
+ال alpha one to one و كذلك ال beta is one to one
+
+105
+00:11:02,000 --> 00:11:08,360
+يبقى بناء عليه هذا بدي يعطينا لو أخدت ال G و ال H
+
+106
+00:11:08,360 --> 00:11:15,900
+as an ordered ال G عبارة عن مين؟ X و ال H عبارة عن
+
+107
+00:11:15,900 --> 00:11:20,420
+مين؟ Y عبارة عن Y بالشكل اللي عندنا هذا يبقى أخد
+
+108
+00:11:20,420 --> 00:11:26,890
+صورتين متساويتينو اثبت ان اصل هماله متساوي لذلك
+
+109
+00:11:26,890 --> 00:11:28,630
+فاي is one to one
+
+110
+00:11:34,980 --> 00:11:43,220
+يبقى انا بأخد element في الـ G2 و X2 و H2 يبقى
+
+111
+00:11:43,220 --> 00:11:50,340
+بالدرجة يقول لو أخدت الـ X موجود مثلا في الـ G2
+
+112
+00:11:50,340 --> 00:12:00,280
+external product مع H2 بشكل لعين هذا يبقى then بدي
+
+113
+00:12:00,280 --> 00:12:06,570
+أدور على شكل هذا ال elementيبقى شكل ال element x
+
+114
+00:12:06,570 --> 00:12:12,370
+هذا بده يسوي element من g2 و element من one من h2
+
+115
+00:12:12,370 --> 00:12:20,370
+يبقى هذا الكلام بده يسوي element وليكن g2 وh2 من
+
+116
+00:12:20,370 --> 00:12:30,200
+h2طيب هذا الكلام يساوي ال G2 موجودة في G2 تمام و
+
+117
+00:12:30,200 --> 00:12:38,180
+Alpha is on 2 يبقى هذا ال element له أصل في G1
+
+118
+00:12:38,180 --> 00:12:43,260
+صحيح ولا لأ يبقى هذا الكلام بقدر أشيل ال G2 و
+
+119
+00:12:43,260 --> 00:12:51,940
+أكتبها Alpha of G1 مثلاو بقدر اكتب هذا beta of
+
+120
+00:12:51,940 --> 00:12:57,180
+each one شو السبب في ذلك لأن alpha and beta are
+
+121
+00:12:57,180 --> 00:13:10,440
+onto يبقى هنا since ال alpha and beta are ontoهذا
+
+122
+00:13:10,440 --> 00:13:15,400
+الكلام لو رجعته إلى أصله بلاقي هو التعريف اللي أنا
+
+123
+00:13:15,400 --> 00:13:21,100
+قايله هنا يبقى الأصل اللي بتابعه هو عبارة عن Phi
+
+124
+00:13:21,100 --> 00:13:28,960
+of G1 وH1يبقى ال element اللي أخدته في G2 وH2 اللي
+
+125
+00:13:28,960 --> 00:13:36,600
+جاتله أصل في G1 وH1 اللي هو G1 وH1 صغير يبقى Phi
+
+126
+00:13:36,600 --> 00:13:41,600
+is in two ضايل عليه نثبت أن Phi is an isomorphism
+
+127
+00:13:41,600 --> 00:13:50,020
+يبقى باجي بقول Phi is an isomorphismيبقى بدي انا
+
+128
+00:13:50,020 --> 00:13:55,920
+اخد اللي هو الـPhi of حصل ضرب two elements ال
+
+129
+00:13:55,920 --> 00:14:01,100
+element الأول اللي هو بدك تاخده من هنا من مكان
+
+130
+00:14:01,100 --> 00:14:08,120
+يكون يبقى لو جيت قلت G وH مضرب في element تاني
+
+131
+00:14:08,120 --> 00:14:14,720
+وليكن مثلا G prime وH prime بالشكل اللي عندنا هذا
+
+132
+00:14:15,810 --> 00:14:21,390
+يبقى هذا الكلام بده يساوي في of هذا الضرب عليه
+
+133
+00:14:21,390 --> 00:14:25,770
+بنضرب component wise حسب ما أعرفنا عملية الضرب على
+
+134
+00:14:25,770 --> 00:14:32,350
+ال external product يبقى ج ج prime و H H prime
+
+135
+00:14:32,350 --> 00:14:39,440
+بالشكل اللي عندنا هذا هذا الكلام بده يساويفاي لما
+
+136
+00:14:39,440 --> 00:14:43,900
+تأثر على هذا ال element يبقى Alpha للأول و Beta
+
+137
+00:14:43,900 --> 00:14:52,700
+للتاني يبقى هذا Alpha of G G prime و Beta of H H
+
+138
+00:14:52,700 --> 00:14:58,950
+primeالألف والبيتا كل واحدة فيهم isomorphism مدام
+
+139
+00:14:58,950 --> 00:15:04,790
+كل واحدة فيهم isomorphism إذا هذه Alpha of G وهذه
+
+140
+00:15:04,790 --> 00:15:14,430
+Alpha of G' وهذه Beta of H وهذه Beta of H' بالشكل
+
+141
+00:15:14,430 --> 00:15:19,000
+اللي عندنا هنايبقى أثار على شكل order pair السؤال
+
+142
+00:15:19,000 --> 00:15:25,600
+هو هل ال order pair هذا بقدر أكتبه على شكل حاصل
+
+143
+00:15:25,600 --> 00:15:31,240
+ضرب two ordered pairs؟ الإجابة نعم، كيف؟ كالتالي،
+
+144
+00:15:31,240 --> 00:15:36,140
+شوفوا يا سيدتي، هاي باجي بقوله هنا Alpha of G بدي
+
+145
+00:15:36,140 --> 00:15:43,870
+أخدها مع Beta of H عسب الترتيبوهنا Alpha of G
+
+146
+00:15:43,870 --> 00:15:50,450
+prime بدي اخدها مع Beta of H prime يبقى هاي كتبتهم
+
+147
+00:15:50,450 --> 00:15:55,830
+على شكل حاصل ضرب قوسية يبقى هذا الكلام بده يساوي
+
+148
+00:15:55,830 --> 00:16:04,650
+الان لو جيت للقوس الأوليبقى هذا Phi of GH يبقى هذا
+
+149
+00:16:04,650 --> 00:16:16,880
+Phi of GH التاني عبارة عن Phi of G' وH'أطلع بدأت
+
+150
+00:16:16,880 --> 00:16:22,020
+بحاصل ضرب القوسين وصلت لفايلة الأول مضروبة في مين
+
+151
+00:16:22,020 --> 00:16:26,700
+في فايلة التانية يبقى بناء عليه فاي is an
+
+152
+00:16:26,700 --> 00:16:29,640
+isomorphism يبقى
+
+153
+00:16:34,510 --> 00:16:42,450
+Isomorphism that is أي أن الـ G1 external product
+
+154
+00:16:42,450 --> 00:16:51,850
+مع H1 isomorphic ل G2 external product مع G2 وهو
+
+155
+00:16:51,850 --> 00:16:57,590
+المطلوب الشغل مش صعب سهل بس طويل شوية يعني بده
+
+156
+00:16:57,590 --> 00:17:07,460
+تمشي بدقة كبيرةطيب كان هذا هو السؤال رقم 14 خدلي
+
+157
+00:17:07,460 --> 00:17:15,260
+16 بيقول في ال group Z 40 Z 30 هاتلي two subgroups
+
+158
+00:17:15,260 --> 00:17:20,980
+of order 12 and
+
+159
+00:17:20,980 --> 00:17:24,360
+هذا
+
+160
+00:17:24,360 --> 00:17:33,400
+سؤال كده ايش قلناه؟16 16 يبقى in z 40 external
+
+161
+00:17:33,400 --> 00:17:42,880
+product مع z 30 find two subgroups
+
+162
+00:17:42,880 --> 00:17:47,780
+of order 12
+
+163
+00:17:57,100 --> 00:18:02,960
+طيب جالي في ال group هذي Z 30 Z 40 Extended like a
+
+164
+00:18:02,960 --> 00:18:07,480
+project مع Z 30 هاتلي two sub groups of order 12
+
+165
+00:18:07,480 --> 00:18:11,720
+لا جالي Cyclic ولا غير Cyclic لكن اللي أسهل ليه أن
+
+166
+00:18:11,720 --> 00:18:17,660
+أجيب Cyclic إن جدرتها طيب بقوله كويسة طب كيف بدي
+
+167
+00:18:17,660 --> 00:18:21,440
+أجيب Cyclic ال order اللي هي سوية 12 بقوله كويسة
+
+168
+00:18:21,440 --> 00:18:27,530
+إذا بتقدريجب ان اجرب الـ order لـ element فيها
+
+169
+00:18:27,530 --> 00:18:30,910
+أربعة و التاني تلاتة يبقى الـ least common
+
+170
+00:18:30,910 --> 00:18:35,270
+multiple المجداش اتناش وكفى الله المنقتل هذا ال
+
+171
+00:18:35,270 --> 00:18:40,390
+element وولد ال subgroup من المطلوب اذا انا بدى
+
+172
+00:18:40,390 --> 00:18:46,710
+ادور على عناصر من زد اربعين ال order اللي يكون
+
+173
+00:18:46,710 --> 00:18:53,750
+جداش أربعة صح؟طيب مين العناصر اللي في Z أربعين
+
+174
+00:18:53,750 --> 00:18:59,530
+اللي ال order لهم يساوي أربعة حد بيقدر يجيبلي و لو
+
+175
+00:18:59,530 --> 00:19:07,200
+عنصر واحد عشرة ممتاز جدا يبقى عاشرةموجودة في Z
+
+176
+00:19:07,200 --> 00:19:14,560
+أربعين و ال order للعشرة بده يساوي أربعة ممتاز جدا
+
+177
+00:19:14,560 --> 00:19:21,220
+اذا انا بده اروح على Z تلاتين كمان برضه عشرة طيب
+
+178
+00:19:21,220 --> 00:19:27,980
+العشرة موجودة في Z تلاتين and ال order للعشرة بده
+
+179
+00:19:27,980 --> 00:19:34,370
+يساوي كدهش بده يساوي تلاتة اذاالـ Element اللي هو
+
+180
+00:19:34,370 --> 00:19:40,370
+عشرة و عشرة موجود في Z أربعين External Direct
+
+181
+00:19:40,370 --> 00:19:50,070
+Product مع Z تلاتينالـ order للعشرة وعشرة هو عبارة
+
+182
+00:19:50,070 --> 00:19:55,130
+عن ال least common multiple للاربعة والتلاتة اللي
+
+183
+00:19:55,130 --> 00:20:00,470
+هو يساوي قداش اتناش اذا هذا ال element بيعطيني ال
+
+184
+00:20:00,470 --> 00:20:02,910
+cyclic subgroup of order اتناش
+
+185
+00:20:05,800 --> 00:20:14,800
+يبقى الساعة العاشرة وعشرة العشرة وعشرة هو عبارة عن
+
+186
+00:20:14,800 --> 00:20:26,480
+Cyclic Subgroup Cyclic Subgroup of order أتناشر
+
+187
+00:20:26,480 --> 00:20:34,000
+بدي أدور على غيره بدي أدور كمان على عنصر تاني
+
+188
+00:20:38,630 --> 00:20:47,730
+كيف؟ اتنين وستة .. لا بدك .. ستة واربعة ماشي ..
+
+189
+00:20:47,730 --> 00:20:51,470
+ستة واربعة ماشي .. واحد واطناش ماشي .. بس يلا
+
+190
+00:20:51,470 --> 00:20:55,250
+نلاقي .. يبقى الان بدي أروح أدور على مين على
+
+191
+00:20:55,250 --> 00:21:04,750
+orders أخرطيب ال order تبع العشرة هو أربعة نقدر
+
+192
+00:21:04,750 --> 00:21:10,550
+نجيب من z تلاتين واحد ال order إله ستة أربعة و ستة
+
+193
+00:21:10,550 --> 00:21:13,250
+ال order اللي مصير اتناش least common multiple
+
+194
+00:21:13,250 --> 00:21:21,010
+مظبوط يبقى هنا مرة تانية also أيضا العشرة أو ال
+
+195
+00:21:21,010 --> 00:21:28,440
+order للعشرة بده يساوي أربعة في z أربعينالآن
+
+196
+00:21:28,440 --> 00:21:37,500
+الخامسة الخامسة ال order إيه يساوي قداش؟ ستة مظبوط
+
+197
+00:21:37,670 --> 00:21:45,150
+الـ order له يساوي ستة N زي التلاتين يبقى اذا ال
+
+198
+00:21:45,150 --> 00:21:51,910
+order للعشرة وخمسة بده يساوي ال least common
+
+199
+00:21:51,910 --> 00:21:58,630
+multiple اللي هو من الأربعة والستة اللي هو كده
+
+200
+00:21:58,630 --> 00:22:04,970
+اتناش يبقى اذا ال sub group generated by عشرة
+
+201
+00:22:04,970 --> 00:22:19,620
+وخمسةis a cyclic group of order أتماشيبقى بناء
+
+202
+00:22:19,620 --> 00:22:24,000
+عليه هاي طلعنا له تنتين subgroups ورغم انه
+
+203
+00:22:24,000 --> 00:22:28,120
+مااشترطش وقال هاتلي subgroups وخلصنا يبقى انا
+
+204
+00:22:28,120 --> 00:22:33,620
+جبتله subgroups وجبتهمله تنتين زيادة على مقال انه
+
+205
+00:22:33,620 --> 00:22:39,160
+تنتين cyclic subgroups ال order لهم يساوي 12
+
+206
+00:22:39,160 --> 00:22:45,120
+اعتمدت في ذلك على من على ال order لل elements و هم
+
+207
+00:22:45,120 --> 00:22:48,540
+اللي ريحون في من في الحل
+
+208
+00:22:51,060 --> 00:23:04,520
+طيب كان هذا سؤال ستة عشر خدلي سؤال ستة وعشرين سؤال
+
+209
+00:23:04,520 --> 00:23:12,180
+ستة وعشرين ستة وعشرين بيقولي هتلي ال subgroup من z
+
+210
+00:23:12,180 --> 00:23:16,400
+أربعة بدي مثلا subgroup
+
+211
+00:23:18,720 --> 00:23:28,460
+of subgroup من مين من z4 external direct product
+
+212
+00:23:28,460 --> 00:23:35,640
+z4 external direct product مع z دي اتنين that is
+
+213
+00:23:35,640 --> 00:23:46,880
+not of the form not in the formاللي هو H external
+
+214
+00:23:46,880 --> 00:23:59,480
+product ل K where حياته where ال H subgroup من
+
+215
+00:23:59,480 --> 00:24:10,530
+Z4 and ال K subgroup من main subgroupمن z2 و ال k
+
+216
+00:24:10,530 --> 00:24:17,230
+sub group من من z2
+
+217
+00:24:17,230 --> 00:24:27,190
+شوفوا يا سيدي نرجع مرة تانية انا عندى الآن ال z4
+
+218
+00:24:27,190 --> 00:24:33,250
+external direct product مع z2 هدى groupالان بدي
+
+219
+00:24:33,250 --> 00:24:39,410
+subgroup من هذه ال group بحيث ما تكونش على الشكل H
+
+220
+00:24:39,410 --> 00:24:45,890
+اللي هو external product مع K حيث H subgroup من Z
+
+221
+00:24:45,890 --> 00:24:51,590
+أربعة وال K subgroup من من من Z يعني بدي جيبلي ال
+
+222
+00:24:51,590 --> 00:24:56,910
+subgroup تانية غير ال external product تبع هدول
+
+223
+00:24:58,090 --> 00:25:03,850
+تعالى نشوف كيف بدنا نحل السؤال السؤال يحتاج الى
+
+224
+00:25:03,850 --> 00:25:09,720
+تفكير ومن التفكير بنقدر نوصل للمطلبزد اربعة
+
+225
+00:25:09,720 --> 00:25:14,100
+external product لزد اتنين not in the form ليست في
+
+226
+00:25:14,100 --> 00:25:17,840
+هذا الشكل احنا ده جيبنا ال subgroup و جيبنا ال
+
+227
+00:25:17,840 --> 00:25:20,820
+subgroup بنجيبلهم ال external product منطلع
+
+228
+00:25:20,820 --> 00:25:25,200
+subgroup جديدة بقول ال subgroup الجديدة بديش إياها
+
+229
+00:25:25,200 --> 00:25:28,830
+ولا واحدة منها دول اللي انت بتقول عليهمقلت له
+
+230
+00:25:28,830 --> 00:25:32,410
+تعالى نشوف مين هم ال subgroups و بعدين بصير خير
+
+231
+00:25:32,410 --> 00:25:38,710
+تمام الان لو جيت على z4 بدي ادور مين هم ال
+
+232
+00:25:38,710 --> 00:25:44,990
+subgroups تبعات z4 فبقى اجيب يقوله the only
+
+233
+00:25:44,990 --> 00:25:56,370
+subgroups of z4 areاللي ال order إلها واحد واللي
+
+234
+00:25:56,370 --> 00:25:59,590
+ال order إلها اتنين واللي ال order إلها أربعة
+
+235
+00:25:59,590 --> 00:26:06,190
+مظبوط يبقى اللي ال order إلها واحد هي ال identity
+
+236
+00:26:06,190 --> 00:26:12,170
+واللي ال order إلها اتنين هي ال sub group
+
+237
+00:26:12,170 --> 00:26:18,630
+generated by اتنينأيش ضال عندي؟ واحد و تلاتة واحد
+
+238
+00:26:18,630 --> 00:26:23,230
+و تلاتة بوالدولي نفس ال subgroup z أربعة يبقى هدول
+
+239
+00:26:23,230 --> 00:26:28,650
+تلاتة لكن في الحقيقة هي واحدة بس يبقى التالتة اللي
+
+240
+00:26:28,650 --> 00:26:37,930
+هي main z أربعة itself تمام؟ طيب الآن also the
+
+241
+00:26:37,930 --> 00:26:51,930
+only subgroupsonly subgroups of z2 are طبعا ال
+
+242
+00:26:51,930 --> 00:26:56,950
+identity ومين كمان والإتنين اللي هي ال subgroup
+
+243
+00:26:56,950 --> 00:27:04,350
+generated by one اللي هي z2 itself z2 itself طيب
+
+244
+00:27:04,350 --> 00:27:09,850
+لو بدى أكوّنه ال external product هذا يبقى بدى
+
+245
+00:27:09,850 --> 00:27:18,330
+أقوله الأولىمع الأولى اللى هى zero طبعا هذه فىش
+
+246
+00:27:18,330 --> 00:27:23,570
+فىها إلا مين عنصر واحد صحيح ال cyclic وفىش فىها
+
+247
+00:27:23,570 --> 00:27:28,730
+أقل عنصر واحد بدي أمسك التانية التانية اللى هى ال
+
+248
+00:27:28,730 --> 00:27:35,230
+zero نفسها مع ال subject ال zero نفسها مع z2
+
+249
+00:27:35,230 --> 00:27:41,450
+standardized product مع z2التالتة خلصنا منها اللي
+
+250
+00:27:41,450 --> 00:27:46,710
+هي ال subgroup generated by اتنين external like
+
+251
+00:27:46,710 --> 00:27:55,350
+product مع من؟ مع ال zero ال subgroup generated by
+
+252
+00:27:55,350 --> 00:28:01,390
+اتنين external like product مع من؟ مع زد اتنينالان
+
+253
+00:28:01,390 --> 00:28:07,950
+الـ z4 external product مع الـ zero أخر حاجة الـ
+
+254
+00:28:07,950 --> 00:28:16,830
+z4 external product مع الـ z2 هؤلاء كل الـ
+
+255
+00:28:16,830 --> 00:28:20,990
+subgroups اللي على الشكل اللي قدامي هذا جالي هذا
+
+256
+00:28:20,990 --> 00:28:25,480
+اللي بديش منهم ولا واحدةولا واحدة من هدول قال لي
+
+257
+00:28:25,480 --> 00:28:29,080
+بيدي ال subgroup من هذا ماهياش على الشكل اللي
+
+258
+00:28:29,080 --> 00:28:34,180
+عندنا هنا بقوله تعالي ندور الآن لو جالسله قوله
+
+259
+00:28:34,180 --> 00:28:39,780
+consider خدلي أول شيء ال subgroup لازم يكون فيها
+
+260
+00:28:39,780 --> 00:28:46,750
+ال identity elementidentity element تمام طيب لو
+
+261
+00:28:46,750 --> 00:28:58,130
+جيت أخد عندي هنا مثلا ال zero و ال one ال zero
+
+262
+00:28:58,130 --> 00:29:04,650
+أخدته من z و لا أخدت خليك معايا بدي أخدي اتنين و
+
+263
+00:29:04,650 --> 00:29:11,500
+ال zeroأتنين وزيرو موجود في زد اربعة external
+
+264
+00:29:11,500 --> 00:29:16,300
+product لزيد دي اتنين وزيد اربعة لزيد تلاتة
+
+265
+00:29:16,300 --> 00:29:25,590
+اتاكدلي بالله سؤال جديد شو قلناهستة وعشرين ..ستة
+
+266
+00:29:25,590 --> 00:29:32,910
+وعشرين ..ستة وعشرين ..ستة وعشرين ..ستة وعشرين
+
+267
+00:29:32,910 --> 00:29:40,130
+..ستة وعشرين ..ستة وعشرين ..ستة وعشرين ..ستة
+
+268
+00:29:40,130 --> 00:29:40,870
+وعشرين ..ستة وعشرين ..ستة وعشرين ..ستة وعشرين
+
+269
+00:29:40,870 --> 00:29:40,870
+..ستة وعشرين ..ستة وعشرين ..ستة وعشرين ..ستة
+
+270
+00:29:40,870 --> 00:29:40,870
+وعشرين ..ستة وعشرين ..ستة وعشرين ..ستة وعشرين
+
+271
+00:29:40,870 --> 00:29:40,870
+..ستة وعشرين ..ستة وعشرين ..ستة وعشرين ..ستة
+
+272
+00:29:40,870 --> 00:29:41,150
+وعشرين ..ستة وعشرين ..ستة وعشرين ..ستة وعشرين
+
+273
+00:29:41,150 --> 00:29:42,010
+..ستة وعشرين ..ستة وعشرين ..ستة وعشرين ..ستة
+
+274
+00:29:42,010 --> 00:29:47,740
+وعشرين ..ستة وعشرين ..ستة وعشرين ..طيب يبقى الأن
+
+275
+00:29:47,740 --> 00:29:54,880
+بدي أخد ال element zero و zero بدي أخد element
+
+276
+00:29:54,880 --> 00:30:01,140
+تاني اتنين و zero موجود في واحدة من هدول اتنين
+
+277
+00:30:01,140 --> 00:30:05,380
+موجود فيها ده استنى شوية لأ لأ بدي أجيب هو قاللي
+
+278
+00:30:05,380 --> 00:30:08,840
+النقط ماهياش في الشكل اللي عندنا هل هادي ال
+
+279
+00:30:08,840 --> 00:30:13,480
+subgroup هادي ال subgroup صحيح بس استنى نشوفها هى
+
+280
+00:30:13,480 --> 00:30:14,440
+هادي ولا لأ
+
+281
+00:30:17,170 --> 00:30:23,010
+لأ لأ لأ استنى شوف بدنا نغيرها لو جيت قول واحد
+
+282
+00:30:23,010 --> 00:30:30,790
+وزيرو وزيرو وواحد وواحد وواحد الشكل اللي عندنا
+
+283
+00:30:30,790 --> 00:30:38,370
+نيجي نشوف هل هذه تسوي اي واحدة من هدول ولا لأ لأ
+
+284
+00:30:38,370 --> 00:30:42,970
+لو جيت لهذه خلصنا منها Zero واتنين يعني Zero Zero
+
+285
+00:30:42,970 --> 00:30:49,360
+Zero واحدهذه مافيش إلا عنصرين فيها طيب هذه برضه
+
+286
+00:30:49,360 --> 00:30:57,140
+كذلك مافيش فيها إلا زت اتنين برضه عنصرين طيب هذه
+
+287
+00:30:57,140 --> 00:31:02,130
+اللي هي زت اتنين مع زت اتنينالكتير اللي بيكبره في
+
+288
+00:31:02,130 --> 00:31:07,050
+ال Z أربع اللي هو بال identity Zero وبعدين اتنين
+
+289
+00:31:07,050 --> 00:31:12,130
+بس عنصرين مع عنصرين أربع عناصر اللي هم مين اللي هم
+
+290
+00:31:12,130 --> 00:31:21,090
+Zero و Zero Zero و واحد وبعدها بيجيني اتنين اتنين
+
+291
+00:31:21,090 --> 00:31:27,180
+مش من هدول يبقى ليست هذهوالـ Z أربعة فيها أربعة
+
+292
+00:31:27,180 --> 00:31:31,720
+عناصر طبعا مش هادى والـ Z أربعة مع Z two طبعا
+
+293
+00:31:31,720 --> 00:31:36,140
+ماهياش هادى يبجى هذه ليست ولا واحدة من هدول اللي
+
+294
+00:31:36,140 --> 00:31:41,120
+عندنا يبجى هذه هي ال sub group المطلوبة وهي ليست
+
+295
+00:31:41,120 --> 00:31:43,660
+اي واحدة من الست الأولين ايوة
+
+296
+00:31:49,130 --> 00:31:54,590
+لو بدك subgroup من هدفك بنفس الطريقة هذي بقصة
+
+297
+00:31:54,590 --> 00:31:59,850
+بتطول، ليش؟ انه عندك عناصر كتير، أربعين في تلاتين،
+
+298
+00:31:59,850 --> 00:32:04,850
+ألف و متين عنصر، مش سهلة، بس دول تمان عناصر مش
+
+299
+00:32:04,850 --> 00:32:08,890
+كتير، تمانية زي ألف و متين، في السوق اللي هو محل
+
+300
+00:32:08,890 --> 00:32:12,690
+لهم من الإعراب، ايه نعم، هذا بزهج، بصدق
+
+301
+00:32:17,470 --> 00:32:27,870
+أنا ممتاز طب شوف الهدف
+
+302
+00:32:27,870 --> 00:32:32,630
+من ذلك الهدف من ذلك أن انت ما تكونش عليه الشكل هذا
+
+303
+00:32:32,630 --> 00:32:37,490
+هي الأشكال كلها كتبناها بدك تجيب أي subgroup تكون
+
+304
+00:32:37,490 --> 00:32:42,490
+تستبعد منها هذه الأشكال طبعا ال subgroup يال order
+
+305
+00:32:42,490 --> 00:32:47,530
+إلا واحديا اتنين، يا اربعة، يا تمانية، لأنه زد
+
+306
+00:32:47,530 --> 00:32:51,950
+اربعة كسنوات بتمان عناصر، مظبوط؟ يبقى بدك تجيبلك
+
+307
+00:32:51,950 --> 00:32:57,210
+واحدة من هدول، اي نعم، لو بدك تسامد الآن اللي هو
+
+308
+00:32:57,210 --> 00:33:02,370
+ال order اللي هيو سوى تمانية، ليش؟ لأن هي هيه،
+
+309
+00:33:02,370 --> 00:33:06,630
+يبقى صف على شجرة، بدك تجي واحد او اتنين او اربع،
+
+310
+00:33:06,630 --> 00:33:11,430
+ال order اللي هي واحد هيهايبقى صف على شجة يبقى بضل
+
+311
+00:33:11,430 --> 00:33:14,710
+اتنين والاربعة اتنين هاي هاي بضلش الا الاربعة
+
+312
+00:33:14,710 --> 00:33:20,150
+عناصر يبقى إجباري اينا ايوة هذه مش مغنقة
+
+313
+00:33:23,720 --> 00:33:27,000
+لو عملت العنصر التاني مع العنصر الأخير فتبقى لك
+
+314
+00:33:27,000 --> 00:33:34,560
+اتنين واحد العنصر الثاني مع الأخير يبقى هذا طبعا
+
+315
+00:33:34,560 --> 00:33:39,960
+الأملاني اللي اتجمع يبقى بصير اتنين واحد استنى
+
+316
+00:33:39,960 --> 00:33:45,400
+شوية هذا طب لو قلت هذه اتنين .. لأ لو قلت هذه
+
+317
+00:33:45,400 --> 00:33:51,400
+اتنين واحد التانية طب
+
+318
+00:33:51,400 --> 00:33:58,760
+استنى نشوفهذه الآن واحد و اتنين بيصير تلاتة موجودة
+
+319
+00:33:58,760 --> 00:34:04,200
+تلاتة و واحد مش مشكلة كمان مرة اه هذه بيصير انيا
+
+320
+00:34:04,200 --> 00:34:13,600
+اتنين و قلت هذه اه ايش هذه؟أتنين و صفر فعلا شوف طب
+
+321
+00:34:13,600 --> 00:34:19,180
+اتنين تربية بصير اربعة و زيرو موجودة اتنين و اتنين
+
+322
+00:34:19,180 --> 00:34:25,340
+اللي هو بصير زيرو واحد زيرو واحد موجود صحيح وهذا
+
+323
+00:34:25,340 --> 00:34:29,260
+لو بدنا نربعها بصير اربعة و اتنين زيرو زيرو مظبوط
+
+324
+00:34:29,260 --> 00:34:36,500
+صحيح ايش ثلاثة و واحدلأ لأ ماشي هيك ماشي مقبول
+
+325
+00:34:36,500 --> 00:34:41,880
+فصحيح وين
+
+326
+00:34:41,880 --> 00:34:47,260
+صفر و واحد؟ ضرب اتنين و واحد هنا جامعة جامعة مش
+
+327
+00:34:47,260 --> 00:34:51,380
+ضاربة اه اه الصفر هي موجود اه ال operation عليها
+
+328
+00:34:51,380 --> 00:34:59,970
+عملية جامعة وهي كده طيب هذا سؤال ستة و عشرينخدي
+
+329
+00:34:59,970 --> 00:35:05,470
+سؤال 28 بيقولي هاتلي كل ال subgroups اللي ال order
+
+330
+00:35:05,470 --> 00:35:12,450
+إلها 4 في z 4 external direct product مع z 4 يبقى
+
+331
+00:35:12,450 --> 00:35:23,690
+سؤال 28 28 بيقولي find all subgroups بدنا ال all
+
+332
+00:35:23,690 --> 00:35:25,970
+subgroups
+
+333
+00:35:28,190 --> 00:35:38,450
+of order أربعة in z أربعة external product مع z
+
+334
+00:35:38,450 --> 00:35:39,030
+أربعة
+
+335
+00:35:41,620 --> 00:35:45,240
+سؤال مرة تانية زد اربعة كتير نضالك ال product مع
+
+336
+00:35:45,240 --> 00:35:50,940
+زد اربعة فيها ست عشر عنصر، مظبوط؟ الان بدي كل ال
+
+337
+00:35:50,940 --> 00:35:54,520
+sub groups اللي ال order اللي لهم يساوي اربعة
+
+338
+00:35:54,520 --> 00:36:01,040
+تعالى نفكر احنا و اياكم تفكير بهذا الشكل الان لو
+
+339
+00:36:01,040 --> 00:36:08,500
+جيت للعنصر اللي هو واحد و zero كداش ال order له؟
+
+340
+00:36:12,150 --> 00:36:17,190
+أربعة يبقى هذا بيولدلي ال sub group ال order إلها
+
+341
+00:36:17,190 --> 00:36:24,710
+يسوى أربعة طيب لو جيت ل zero و واحد أربعة يبقى
+
+342
+00:36:24,710 --> 00:36:32,030
+بالشكل اللي عندنا هنا طيب لو جيت لمين ل ال واحد و
+
+343
+00:36:32,030 --> 00:36:39,710
+واحدأربعة subgroup generated by واحد وواحد أربعة
+
+344
+00:36:39,710 --> 00:36:44,290
+طب لو قلتلك subgroup generated by واحد واتنين
+
+345
+00:36:44,290 --> 00:36:47,950
+أربعة
+
+346
+00:36:47,950 --> 00:36:54,390
+طب لو قلتلك subgroup generated by اتنين وواحد
+
+347
+00:36:54,390 --> 00:36:55,370
+أربعة
+
+348
+00:36:58,860 --> 00:37:06,840
+طب لو قلت لك subgroup generated by واحد و تلاتة
+
+349
+00:37:06,840 --> 00:37:15,150
+طيب لو قلت لك subgroup generated by تلاتة و واحدو
+
+350
+00:37:15,150 --> 00:37:18,010
+نفس ال group زد اربع زد اربع هي نفسه اللي بسهل
+
+351
+00:37:18,010 --> 00:37:23,530
+العملية اي نعم جداش صاروا هدول اتنين اربع خمسة و
+
+352
+00:37:23,530 --> 00:37:28,910
+اتنين سبعة طيب خدلك هال group هذي مش زيهم cyclic
+
+353
+00:37:28,910 --> 00:37:35,170
+عادي زي ما جيبنا هذي لو جيت قولتلك zero و zero و
+
+354
+00:37:35,170 --> 00:37:41,510
+zero و اتنين و اتنين و zero و اتنين و اتنينتعالى
+
+355
+00:37:41,510 --> 00:37:45,370
+فى الأول نشوفها subgroup ولا لأ طبع ال order اللى
+
+356
+00:37:45,370 --> 00:37:51,150
+هيه يسوى أربعة تمام لو جاتى لهذه اتنين و اتنين
+
+357
+00:37:51,150 --> 00:37:58,190
+جمعنا بصير كده اتنين و اتنين نربعهايعني لو بتضرب
+
+358
+00:37:58,190 --> 00:38:04,450
+العنصر في نفسه يبقى بيطلع 00 هي موجود طبعا طب لو
+
+359
+00:38:04,450 --> 00:38:10,590
+هذا مع هذا بصير ال zero و اربعة يعني اتنين و zero
+
+360
+00:38:10,590 --> 00:38:17,320
+اتنين و zero هي موجودتمام؟ لو جيت قولتلي zero و
+
+361
+00:38:17,320 --> 00:38:21,400
+اتنين او اتنين او زيرو في هذا هتلاقي موجود تمام؟
+
+362
+00:38:21,400 --> 00:38:24,640
+طب لو هده ضربت بنفسه اربعة و اربعة هي zero و zero
+
+363
+00:38:24,640 --> 00:38:29,360
+يبقى هو ال sub group على طول الخط لكن هدى مش زيهم
+
+364
+00:38:29,360 --> 00:38:34,860
+ماهياش cyclic تعالى امسك اي element اخر اللى يمكن
+
+365
+00:38:34,860 --> 00:38:39,370
+تلاقي يجيبك ايه اش اربع عناظر فمثلاهاتلي اي
+
+366
+00:38:39,370 --> 00:38:43,330
+element غير اللي قدامك في ال group هذه نشوف و كم
+
+367
+00:38:43,330 --> 00:38:50,030
+عنصر بده يجيب يلا اختاروا اي رقم غير الارقام اي
+
+368
+00:38:50,030 --> 00:38:56,070
+عنصر غير العناصر هذه تلاتة و تلاتة موجودة تلاتة و
+
+369
+00:38:56,070 --> 00:39:03,230
+تلاتة تربيعيعني ستة و ستة جامعة يعني ستة و ستة
+
+370
+00:39:03,230 --> 00:39:09,010
+يعني اتنين و اتنين تلاتة و تلاتة كعيب يعني تسعة
+
+371
+00:39:10,910 --> 00:39:17,470
+تسعة و تسعة اللي هي واحد و واحد و واحد و واحد طيب
+
+372
+00:39:17,470 --> 00:39:25,890
+لو جيت قول تلاتة و تلاتة يبقى اللي هي تلاتة
+
+373
+00:39:25,890 --> 00:39:28,310
+و أربعة اللي هي الصفر و الصفر مظبوط اللي هو ال
+
+374
+00:39:28,310 --> 00:39:33,010
+identity كمان هذه منهم ولا لا اه هذه طلعت كمان
+
+375
+00:39:33,010 --> 00:39:39,700
+منهم و قال لي كل ال sub group اللي ال order إلهاطب
+
+376
+00:39:39,700 --> 00:39:46,380
+اتنين و اتنين ما هو
+
+377
+00:39:46,380 --> 00:39:49,860
+السهل انك تحط العناصر قدامك و تبدأ تدور فيهم فيش
+
+378
+00:39:49,860 --> 00:39:51,200
+شغلة محددة
+
+379
+00:40:00,460 --> 00:40:03,360
+هذه الخطوة مختلفة عن هذه الخطوة و هي سهلة للغاية
+
+380
+00:40:03,360 --> 00:40:07,620
+لكن هذه الخطوة بتجيبها من أين؟ انا بحط قدامي عناصر
+
+381
+00:40:07,620 --> 00:40:09,980
+ال group اللي كلها زي اربعة كسنوات او اربعة كسنوات
+
+382
+00:40:09,980 --> 00:40:10,200
+او اربعة كسنوات او اربعة كسنوات او اربعة كسنوات او
+
+383
+00:40:10,200 --> 00:40:12,500
+اربعة كسنوات او اربعة كسنوات او اربعة كسنوات او
+
+384
+00:40:12,500 --> 00:40:12,720
+اربعة كسنوات او اربعة كسنوات او اربعة كسنوات او
+
+385
+00:40:12,720 --> 00:40:13,140
+اربعة كسنوات او اربعة كسنوات او اربعة كسنوات او
+
+386
+00:40:13,140 --> 00:40:17,680
+اربعة كسنوات او اربعة
+
+387
+00:40:17,680 --> 00:40:23,570
+كسنوات او اربعة كالحين دلت مننا ناله تلاتة و تلاتة
+
+388
+00:40:23,570 --> 00:40:29,030
+الان كمان هذه تلاتة و تلاتة نسيناها يبقى ال sub
+
+389
+00:40:29,030 --> 00:40:33,650
+group generated by تلاتة و تلاتة طيب لإنه فيه
+
+390
+00:40:33,650 --> 00:40:37,850
+قبلها واحد و واحد لكن اتنين و اتنين لا اتنين ال
+
+391
+00:40:37,850 --> 00:40:40,770
+order إليها يسوى اتنين يبقى كل ال sub groups
+
+392
+00:40:40,770 --> 00:40:47,050
+الممكنة اللي عندنا طيب لو جاء zero و تلاتة
+
+393
+00:40:54,230 --> 00:40:59,930
+أه اربعة اربعة ليش ما تكونش منهم ال zero و التلاتة
+
+394
+00:40:59,930 --> 00:41:05,650
+و التلاتة و zero كمان اه حط عليهم ال zero و
+
+395
+00:41:05,650 --> 00:41:13,310
+التلاتة and التلاتة و zero طب ليش اختارت التلاتة
+
+396
+00:41:13,310 --> 00:41:17,310
+ليش ما اختارت اتنين لإن التلاتة و الواحد هدول
+
+397
+00:41:17,310 --> 00:41:24,600
+relatively prime مع mainمع اللي هو أربعة يبقى هدول
+
+398
+00:41:24,600 --> 00:41:29,020
+كلهم اش ما تاخد zero واحد واحد و zero أخدناه مش
+
+399
+00:41:29,020 --> 00:41:32,440
+هيك هاي أول مبادئنا فيهم يبقى مافيش مشكلة هيك
+
+400
+00:41:32,440 --> 00:41:36,700
+بيكون خلصنا كل اللي هو ال subgroups اللي ال order
+
+401
+00:41:36,700 --> 00:41:40,480
+اللي يساوي أربعة في ال group اللي عندنا
+
+402
+00:41:51,560 --> 00:41:57,420
+طيب هذا سؤال تمانية و عشرين سؤال اتنين و تلاتين
+
+403
+00:41:57,420 --> 00:42:04,380
+find a subgroup من z12, z4, z15 ال order لها يساوي
+
+404
+00:42:04,380 --> 00:42:17,760
+تسعة يبقى سؤال اتنين و تلاتين بدنا subgroup of z12
+
+405
+00:42:19,790 --> 00:42:25,210
+External Direct Product مع زد أربعة External
+
+406
+00:42:25,210 --> 00:42:31,710
+Direct Product مع زد خمستاش
+
+407
+00:42:31,710 --> 00:42:38,590
+that has order
+
+408
+00:42:38,590 --> 00:42:48,190
+تسعة خلّي
+
+409
+00:42:48,190 --> 00:42:52,930
+بالك هنا كويسخلّيني أسألكم سؤال تاني، هل في
+
+410
+00:42:52,930 --> 00:42:58,470
+element هنا ال order إيه اللي بيساوي تسعة؟ ولا بدي
+
+411
+00:42:58,470 --> 00:43:02,850
+أشوف، أنا بحكي عليه هادي بس، لأن تسعة دقيقة مش
+
+412
+00:43:02,850 --> 00:43:07,200
+اتناشولا element هنا ال order يسوى تسعة ولا
+
+413
+00:43:07,200 --> 00:43:11,520
+element هنا ال order يسوى تسعة يبقى ماعنديش ولا
+
+414
+00:43:11,520 --> 00:43:15,920
+element ال order يسوى تسعة في أي من ال group
+
+415
+00:43:15,920 --> 00:43:20,920
+المنفردات التلاتة اللي عندنا هذه طيب انا مش هنجيب
+
+416
+00:43:20,920 --> 00:43:25,300
+ال order تسعة مش هنجيب ال order تسعة تبع هذه ال
+
+417
+00:43:25,300 --> 00:43:33,410
+sub group بدي يكون عندي هدول تلاتةثلاثة او تلاتة
+
+418
+00:43:33,410 --> 00:43:35,850
+او تلاتة او تلاتة او تلاتة او تلاتة او تلاتة او
+
+419
+00:43:35,850 --> 00:43:39,370
+تلاتة او تلاتة او تلاتة او تلاتة او تلاتة او تلاتة
+
+420
+00:43:39,370 --> 00:43:42,410
+او تلاتة او تلاتة او تلاتة او تلاتة او تلاتة او
+
+421
+00:43:42,410 --> 00:43:43,570
+تلاتة او تلاتة او تلاتة او تلاتة او تلاتة او تلاتة
+
+422
+00:43:43,570 --> 00:43:44,930
+او تلاتة او تلاتة او تلاتة او تلاتة او تلاتة او
+
+423
+00:43:44,930 --> 00:43:53,390
+تلاتة او تلاتة او تلاتة او
+
+424
+00:43:53,390 --> 00:43:56,850
+تلاتة
+
+425
+00:43:57,140 --> 00:44:01,440
+لو أخدت اجروب ال order إلها تلاتة و واحدة ال order
+
+426
+00:44:01,440 --> 00:44:05,140
+إلها واحد و واحدة ال order إلها تلاتة بيصير عندي
+
+427
+00:44:05,140 --> 00:44:12,590
+قداشر ال order لل external product تسعةالـ order
+
+428
+00:44:12,590 --> 00:44:17,110
+للـ group كلها بصير تسعة مش باخدش elements باخد
+
+429
+00:44:17,110 --> 00:44:21,150
+group كاملة ال order لها تلاتة أو sub group تمام
+
+430
+00:44:21,150 --> 00:44:27,370
+يعني بناء عليه لا يمكن ألاقي sub group من ال
+
+431
+00:44:27,370 --> 00:44:32,150
+groups هدول ال order لها يسوى تسعة مش إمكانية لكن
+
+432
+00:44:32,150 --> 00:44:36,750
+بنعمل عملية تحايل بالداجة الأولى بدي أخد منها ال
+
+433
+00:44:36,750 --> 00:44:41,020
+sub group ال order لها يسوى تلاتةومن التانية ال
+
+434
+00:44:41,020 --> 00:44:45,020
+subgroup ال order إلها يساوي تلاتة أو تلاتة في شيء
+
+435
+00:44:45,020 --> 00:44:48,760
+ممكن نقول واحد مثلا و التالتة بتاخد subgroup ال
+
+436
+00:44:48,760 --> 00:44:51,760
+order إلها يساوي تلاتة يبقى دول لو ضربتها مكون
+
+437
+00:44:51,760 --> 00:44:57,300
+جديش تسعة تقدر تجيب أه بقدر ليش لإن زد اتناش وزد
+
+438
+00:44:57,300 --> 00:45:01,820
+اربع وزد خمساش كلهم cyclic groupوفي نظرية كانت في
+
+439
+00:45:01,820 --> 00:45:06,840
+chapter أربعة بتقولي أي subgroup من cyclic group
+
+440
+00:45:06,840 --> 00:45:11,380
+بتكون cyclic تمام باجي بقوله كويسة الان لو جيت
+
+441
+00:45:11,380 --> 00:45:26,980
+أخطط ال HBA subgroup of Z12 with order مثلا with
+
+442
+00:45:26,980 --> 00:45:39,970
+order تلاتة andk is a subgroup من z4 with order
+
+443
+00:45:39,970 --> 00:45:49,510
+one and ال
+
+444
+00:45:49,510 --> 00:45:59,370
+subgroup من z15 with order oneتلاتة طبعا كله ممكن
+
+445
+00:45:59,370 --> 00:46:04,030
+لإن التلاتة بتجسم الخمستاش والواحد بيجسم الأربعة
+
+446
+00:46:04,030 --> 00:46:11,990
+والتلاتة بتجسم الأتناش يعني for example for
+
+447
+00:46:11,990 --> 00:46:17,190
+example ال
+
+448
+00:46:17,190 --> 00:46:21,450
+group generated by أربعة ال order اللي قدش ساوي
+
+449
+00:46:21,450 --> 00:46:21,810
+هنا
+
+450
+00:46:24,580 --> 00:46:30,860
+ثلاثة تمام هاي ليش اربعة ال zero اربعة تمانية يبقى
+
+451
+00:46:30,860 --> 00:46:37,000
+ال order لها تساوي تلاتة و ال zero ال order له
+
+452
+00:46:37,000 --> 00:46:43,230
+يساوي كدهش واحد من التانية هذهوالثالثة بداخل من
+
+453
+00:46:43,230 --> 00:46:48,510
+خمستاشر بداخل ال group generated by خمسة ال order
+
+454
+00:46:48,510 --> 00:46:54,250
+كمان يساوي كم؟ يساوي تلاتة يبقى ال order يساوي
+
+455
+00:46:54,250 --> 00:46:58,670
+تلاتة بالشكل اللي عندنا هنا يبقى ال least يبقى ال
+
+456
+00:46:58,670 --> 00:47:04,610
+order لل external direct product ال order لل
+
+457
+00:47:04,610 --> 00:47:13,540
+external direct productمع من؟ مع الـ zero مع من؟
+
+458
+00:47:13,540 --> 00:47:18,280
+مع الـ subgroup generated by خمسة ال order لها
+
+459
+00:47:18,280 --> 00:47:23,140
+يساوي ال order لل subgroup generated by أربعة لمن
+
+460
+00:47:23,140 --> 00:47:28,100
+ال order ل ال zero في ال order لل subgroup
+
+461
+00:47:28,100 --> 00:47:34,100
+generated by خمسة و يساوي تلاتة في واحد في تلاتة و
+
+462
+00:47:34,100 --> 00:47:38,660
+يساوي تسعةيبقى هي جبتله subgroup من ال group
+
+463
+00:47:38,660 --> 00:47:44,260
+الأصلية ال order إلها يساوي تسعة كان هذا سؤال
+
+464
+00:47:44,260 --> 00:47:46,360
+اتنين و تلاتين
+
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/V133cZxPx_0.srt b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/V133cZxPx_0.srt
new file mode 100644
index 0000000000000000000000000000000000000000..1a8aa28228acf1d9afa5e060f8d48e9643d688a8
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/V133cZxPx_0.srt
@@ -0,0 +1,1979 @@
+1
+00:00:21,190 --> 00:00:26,610
+بسم الله الرحمن الرحيم المرة الماضية بدأنا في خواص
+
+2
+00:00:26,610 --> 00:00:31,330
+الـ group الخواص الأولى للـ group واخدنا أول خاصية
+
+3
+00:00:31,330 --> 00:00:35,930
+الخاصية الأولى بتقول لو كان عندي identity element
+
+4
+00:00:35,930 --> 00:00:39,980
+في الـ group يبقى هذا الـ identity element يكون 
+
+5
+00:00:39,980 --> 00:00:43,540
+أثبتنا أن الاتنين مرتبطين و أثبتنا أن الاتنين
+
+6
+00:00:43,540 --> 00:00:45,200
+مرتبطين و أثبتنا أن الاتنين مرتبطين و أثبتنا أن
+
+7
+00:00:45,200 --> 00:00:47,820
+الاتنين مرتبطين و أثبتنا أن الاتنين مرتبطين و
+
+8
+00:00:47,820 --> 00:00:48,960
+أثبتنا أن الاتنين مرتبطين و أثبتنا أن الاتنين
+
+9
+00:00:48,960 --> 00:00:50,300
+مرتبطين و أثبتنا أن الاتنين مرتبطين و أثبتنا أن
+
+10
+00:00:50,300 --> 00:00:52,420
+الاتنين مرتبطين و أثبتنا أن الاتنين مرتبطين و
+
+11
+00:00:52,420 --> 00:00:56,700
+أثبتنا أن الاتنين مرتبطين و أثبتنا أن الاتنين
+
+12
+00:00:56,700 --> 00:01:01,140
+مرتبطين و أثبتنا أن الاتنين مرتبطين و أثبتنا أن 
+
+13
+00:01:01,140 --> 00:01:06,290
+الاتنين مرتبطين بلغة أخرى لما نقول ba بده يساوي
+
+14
+00:01:06,290 --> 00:01:12,450
+ca then بيه يساوي c يعني كأنه شاطبنا a مع a وده 
+
+15
+00:01:12,450 --> 00:01:18,250
+اسمه قانون الشاطب الأيمن الثاني هذا a بيه بده
+
+16
+00:01:18,250 --> 00:01:23,630
+يساوي ac يبقى طالع أنه بيه بتساوي c يبقى كأنه
+
+17
+00:01:23,630 --> 00:01:29,510
+شاطبنا من جهة الشمال يبقى قانون الشاطب الأيسر قانون
+
+18
+00:01:29,510 --> 00:01:32,810
+الشاطب الأيمن قانون الشاطب الأيسر هذه تسميات
+
+19
+00:01:32,810 --> 00:01:37,310
+بتهمنيش كثير بهمني أن أنا نصل إلى إثبات هذه
+
+20
+00:01:37,310 --> 00:01:43,170
+العلاقة يبقى بدنا نروح نثبتها فباجي بقوله for proof
+
+21
+00:01:46,430 --> 00:01:51,850
+الآن b في a موجود
+
+22
+00:01:51,850 --> 00:01:56,150
+في الـ group g والـ b موجود في الـ group g مشان
+
+23
+00:01:56,150 --> 00:02:02,210
+تكون group لازم يكون فيها لكل عنصر معكوس لهذا
+
+24
+00:02:02,210 --> 00:02:07,650
+العنصر إذا بدي أفترض أنه معكوس لعنصر a مثلا وليه
+
+25
+00:02:07,650 --> 00:02:12,230
+أكون a prime أو أي رمز آخر ونشوف هذا هيوصلنا لوين
+
+26
+00:02:12,230 --> 00:02:14,790
+يبقى حاجة أقوله assume
+
+27
+00:02:34,810 --> 00:02:43,090
+الحين احنا عندنا ba بده يساوي ca ابدأ أضرب من جهة
+
+28
+00:02:43,090 --> 00:02:51,850
+اليمين في الـ a' يبقى ba في الـ a' يبقى ca في 
+
+29
+00:02:51,850 --> 00:02:59,230
+الـ a' هذا الكلام سيعطينا ابدأ أستخدم خاصية ال
+
+30
+00:02:59,230 --> 00:03:03,880
+associativity يبقى من خاصية الـ associativity بصير
+
+31
+00:03:03,880 --> 00:03:10,660
+أن b في aa prime يساوي
+
+32
+00:03:10,660 --> 00:03:17,700
+c في aa prime هذا بدي يعطينا أي عنصر في معكسه شو
+
+33
+00:03:17,700 --> 00:03:22,860
+بيعطيناه عنصر الوحدة الـ identity element يبقى بناء
+
+34
+00:03:22,860 --> 00:03:34,390
+عليه هذا هيعطينا أن الـ b الـ b في الـ e بده يساوي
+
+35
+00:03:34,390 --> 00:03:38,890
+مين؟ بده يساوي الـ c في الـ e طب الـ identity
+
+36
+00:03:38,890 --> 00:03:42,870
+element لما أضربه في أي عنصر إيش بيعطينا؟ نفس
+
+37
+00:03:42,870 --> 00:03:49,950
+العنصر يبقى هذا بده يعطينا b تساوي c هذا هو
+
+38
+00:03:49,950 --> 00:04:01,090
+المطلوب الأول المطلوب الثاني and وكذلك الـ ab بده
+
+39
+00:04:01,090 --> 00:04:08,390
+يساوي ac implies أن الـ a prime في الـ ab بده يساوي
+
+40
+00:04:08,390 --> 00:04:15,350
+الـ a prime في الـ ac من خاصية الـ associativity هذا
+
+41
+00:04:15,350 --> 00:04:18,110
+يعني أن الـ a prime a
+
+42
+00:04:26,160 --> 00:04:31,040
+العنصر في معكسه بيعطينا الـ identity element دير
+
+43
+00:04:31,040 --> 00:04:34,320
+بالك بس مش عنصر تضرب من اليمين و الثاني من الشمال
+
+44
+00:04:34,320 --> 00:04:37,720
+ضربت من الشمال يبقى الثاني من الشمال ضربت من
+
+45
+00:04:37,720 --> 00:04:40,960
+اليمين يبقى الثاني من اليمين ليش؟ لأنه ما قاليش الـ
+
+46
+00:04:40,960 --> 00:04:44,780
+group abelian لو قالي لجروب أبيلي أن ضربت واحدة من
+
+47
+00:04:44,780 --> 00:04:47,560
+اليمين و واحدة من الشمال، أنت فريقش عننا بس إن كان
+
+48
+00:04:47,560 --> 00:04:49,880
+الضرب من اليمين، الثاني من اليمين، الضرب من
+
+49
+00:04:49,880 --> 00:04:53,280
+الشمال، الطرف الثاني من الشمال زي ما أنت شايف لازم
+
+50
+00:04:53,280 --> 00:04:58,420
+نرى الترتيب عند عملية الشغل في الـ groups يبقى هذا
+
+51
+00:04:58,420 --> 00:05:03,720
+معناه أن الـ identity element في b يسوى الـ identity
+
+52
+00:05:03,720 --> 00:05:11,320
+element في c يبقى هذا معناه أن b بيبدأ تساوي c إذا
+
+53
+00:05:11,320 --> 00:05:15,520
+من الآن فصاعدًا قانون الشطب الأيمن وقانون الشطب
+
+54
+00:05:15,520 --> 00:05:23,320
+الأيسر على الـ group exist موجود ومتعرف عليه النقطة
+
+55
+00:05:23,320 --> 00:05:27,880
+الثالثة أو الخاصية الثالثة من خواص الـ group بيقول
+
+56
+00:05:27,880 --> 00:05:38,920
+for each element for each element لأي عنصر for
+
+57
+00:05:38,920 --> 00:05:47,040
+each element a in a group g
+
+58
+00:05:49,680 --> 00:05:55,360
+لأي عنصر في الـ group g there is a unique element
+
+59
+00:05:55,360 --> 00:06:10,620
+there is a unique element there is
+
+60
+00:06:10,620 --> 00:06:17,880
+a unique element b in g such that
+
+61
+00:06:21,290 --> 00:06:29,150
+بعد ذلك ab ساوي ba ساوي الـ identity
+
+62
+00:06:29,150 --> 00:06:40,070
+element مرة
+
+63
+00:06:40,070 --> 00:06:44,940
+ثانية المرة اللي فاتت أول خاصية أثبتنا أن عنصر
+
+64
+00:06:44,940 --> 00:06:49,080
+الوحدة يكون وحيدًا مافيش غير عنصر واحد واحد في الـ
+
+65
+00:06:49,080 --> 00:06:53,500
+group كلها من أولها إلى آخرها الآن بيقول لو أخدت
+
+66
+00:06:53,500 --> 00:07:00,060
+أي عنصر a موجود في g لازم نلاقي عنصر وحيد لاحظ
+
+67
+00:07:00,060 --> 00:07:05,080
+الكلمة هذه a unique element يبقى عنصرًا وحيدًا مافيش
+
+68
+00:07:05,080 --> 00:07:10,910
+غيره و b في g موجود في g بحيث أن الـ a في b
+
+69
+00:07:10,910 --> 00:07:14,710
+بيساوي الـ a في b بيساوي الـ identity شو معنى هذا
+
+70
+00:07:14,710 --> 00:07:20,990
+الكلام معنى أن المعكوس لكل عنصر يكونه وحيدًا مافيش
+
+71
+00:07:20,990 --> 00:07:26,540
+غيره يعني كل عنصر في موجود في الـ group له معكوس لا
+
+72
+00:07:26,540 --> 00:07:31,740
+يشاركه أحد في هذا المعكوس إذا بدنا نروح نثبت هذا
+
+73
+00:07:31,740 --> 00:07:35,840
+الكلام بنفس الفكرة اللي أثبتنا فيها الـ identity
+
+74
+00:07:35,840 --> 00:07:39,360
+element يبقى العنصر a اللي موجود في الـ group بدي
+
+75
+00:07:39,360 --> 00:07:43,960
+أفترض أنه له معكوسين و أحاول أثبت أن هذين
+
+76
+00:07:43,960 --> 00:07:49,260
+المعكوسين متساويان يبقى باجي بقوله for proof
+
+77
+00:07:53,660 --> 00:08:07,940
+Assume افترض أن b و c هم أكثر
+
+78
+00:08:07,940 --> 00:08:18,200
+من اسم 
+
+79
+00:08:18,200 --> 00:08:20,080
+الموجود في g
+
+80
+00:08:26,860 --> 00:08:35,980
+الـ ab بيساوي ba الـ ab بيساوي ba بيساوي الـ
+
+81
+00:08:35,980 --> 00:08:44,760
+identity e and الـ ac بيساوي ca بيساوي الـ
+
+82
+00:08:44,760 --> 00:08:50,540
+identity e هذا حسب تعريف من؟ حسب تعريف المعكوس
+
+83
+00:08:50,540 --> 00:08:57,810
+الآن هذا الـ element بده يساوي الـ identity و هذا الـ
+
+84
+00:08:57,810 --> 00:09:01,850
+element بده يساوي الـ identity معناته الـ two
+
+85
+00:09:01,850 --> 00:09:08,270
+elements are equal يبقى هذا بده يعطينا a أنه a
+
+86
+00:09:08,270 --> 00:09:14,230
+في b بده يساوي الـ ac لإنه كل واحد مالهم بده يساوي
+
+87
+00:09:14,230 --> 00:09:19,310
+الـ identity بالخاصية اللي فوق الأولانية رقم اثنين
+
+88
+00:09:19,310 --> 00:09:23,030
+يبقى by property
+
+89
+00:09:29,720 --> 00:09:37,400
+بتساوي الـ c لو أخذنا الجزء الثاني similarly بنفس
+
+90
+00:09:37,400 --> 00:09:38,420
+الطريقة
+
+91
+00:09:40,770 --> 00:09:49,050
+اللي هو ba بده يساوي ca implies أن الـ b تساوي c
+
+92
+00:09:49,050 --> 00:09:53,330
+يبقى بناء عليه لو وجد معكوسين إن شاء الله يكونوا
+
+93
+00:09:53,330 --> 00:09:57,970
+عشرة لعنصر ما العشرة هدول لازم يكونوا are equal
+
+94
+00:09:57,970 --> 00:10:02,850
+يعني معنى هذا الكلام أن معكوس العنصر يكونوا aيه؟
+
+95
+00:10:02,850 --> 00:10:05,490
+يكونوا وحيدًا مفيش غيره
+
+96
+00:10:13,790 --> 00:10:20,370
+الخاصية الرابعة الرابعة الرابعة الرابعة الرابعة
+
+97
+00:10:20,370 --> 00:10:20,490
+الرابعة الرابعة الرابعة الرابعة الرابعة الرابعة
+
+98
+00:10:20,490 --> 00:10:21,050
+الرابعة الرابعة الرابعة الرابعة الرابعة الرابعة
+
+99
+00:10:21,050 --> 00:10:21,450
+الرابعة الرابعة الرابعة الرابعة الرابعة الرابعة
+
+100
+00:10:21,450 --> 00:10:22,370
+الرابعة الرابعة الرابعة الرابعة الرابعة الرابعة
+
+101
+00:10:22,370 --> 00:10:26,570
+الرابعة الرابعة الرابعة الرابعة الرابعة الرابعة
+
+102
+00:10:26,570 --> 00:10:29,330
+الرابعة الرابعة الرابعة الرابعة الرابعة الرابعة
+
+103
+00:10:29,330 --> 00:10:29,610
+الرابعة الرابعة الرابعة الرابعة الرابعة الرابعة
+
+104
+00:10:29,610 --> 00:10:31,270
+الرابعة الرابعة الرابعة الرابعة الرابعة الرابعة
+
+105
+00:10:31,270 --> 00:10:40,590
+الرابعة الرابعة
+
+106
+00:10:40,590 --> 00:10:46,180
+الروالعكس من g
+
+107
+00:10:46,180 --> 00:10:57,840
+هو denoted by g inverse يعني يا شباب من الآن فصاعدًا
+
+108
+00:10:57,840 --> 00:11:03,700
+بدنا نبطل نقول let a' b is inverse of a على طول
+
+109
+00:11:03,700 --> 00:11:08,640
+الخط معكوس الـ a هقوله a inverse معكوس الـ g هو g
+
+110
+00:11:08,640 --> 00:11:20,880
+inverse وهكذا نقطة ثانية if الـ n is a positive
+
+111
+00:11:22,440 --> 00:11:32,780
+integer عدد صحيح موجب باللي الـ n then الـ g to the
+
+112
+00:11:32,780 --> 00:11:40,440
+power n معناته aيه؟ معناته g مضروبة في g مضروبة في
+
+113
+00:11:40,440 --> 00:11:47,800
+g هذا الكلام in times يعني n من المرات يا شباب هنا
+
+114
+00:11:47,800 --> 00:11:50,760
+الضرب هذه النقاط اللي شايفينها مش عملية الضرب
+
+115
+00:11:50,760 --> 00:11:55,860
+العادية يعني g star g g star g star g star g إلى
+
+116
+00:11:55,860 --> 00:11:59,920
+أخيرية الـ star mean ما كانت تكون بس احنا اختصارًا
+
+117
+00:11:59,920 --> 00:12:07,490
+بنكتبها بالشكل هذا النقطة الثالثة
+
+118
+00:12:07,490 --> 00:12:13,930
+الـ g مرفوع للأس صفر بده يساوي أي element في الـ
+
+119
+00:12:13,930 --> 00:12:18,890
+group g ارفع له الصفر بيعطينا الـ identity element
+
+120
+00:12:18,890 --> 00:12:26,550
+يبقى هذا الـ e نمرة أربعة الـ g to the power n بقدر
+
+121
+00:12:26,550 --> 00:12:35,520
+أقول g inverse أس سالب n لما أقول gn بقدر أكتبها على
+
+122
+00:12:35,520 --> 00:12:36,620
+الشكل التالي
+
+123
+00:12:47,300 --> 00:12:56,760
+بقول الـ gm في الـ gn بده يساوي gm زائد الـ n يبقى تجمع
+
+124
+00:12:56,760 --> 00:13:06,260
+الأسس عادي جدا خمسة نمرة ستة نمرة ستة gm كله أس n
+
+125
+00:13:06,260 --> 00:13:14,390
+زي هذه بالضبط تمامًا يبقى هذه أسس مركبة وليست مثل 
+
+126
+00:13:14,390 --> 00:13:19,430
+هذه هنا الأساسات هي الـ element مرفوعة لنفس الأسس M
+
+127
+00:13:19,430 --> 00:13:24,950
+و N يبقى عند الـ operation هذه تجمع الأسس لكن هذه
+
+128
+00:13:24,950 --> 00:13:32,650
+كانها GM Star GM Star GM Star GM يعني إيش يعني N
+
+129
+00:13:32,650 --> 00:13:42,050
+من المرات إذا هذه بالضبط تماما هي GMN أو بقدر أقول
+
+130
+00:13:42,050 --> 00:13:50,250
+GNM ليش؟ لأن  الضرب و الضرب عملية ضرب عادية
+
+131
+00:13:50,250 --> 00:13:54,910
+للأعداد عملية إبدالية خمسة في ستة هي ستة في خمسة
+
+132
+00:13:54,910 --> 00:14:01,710
+إذا هذه بقدر أروح أكتبها كذلك على الشكل التالي GNM
+
+133
+00:14:01,710 --> 00:14:07,170
+بهمنيش من الأسلوب ولا على كل الأمرين كله بعطيني نفس
+
+134
+00:14:07,170 --> 00:14:14,580
+النتيجة النقطة السابعة النقطة السابعة لو قلت a b
+
+135
+00:14:14,580 --> 00:14:23,820
+كله to the power n هل يساوي a n b n يعني
+
+136
+00:14:23,820 --> 00:14:29,680
+لو قلت لك اثنين هل الـ a b تربيع يساوي a تربيع b تربيع
+
+137
+00:14:29,680 --> 00:14:36,300
+في حالة واحدة لو كانت الـ g أبيليا غير هيك بيعطيك
+
+138
+00:14:36,300 --> 00:14:41,400
+الله يبقى هذا الكلام لا يمكن أن يساوي هذا على
+
+139
+00:14:41,400 --> 00:14:49,880
+الإطلاق بروح بستثني و بقول but if g is abelian
+
+140
+00:14:49,880 --> 00:14:58,160
+then اللي هو الـ a b to the power n بده يساوي a n b n
+
+141
+00:14:58,160 --> 00:15:04,290
+غير هيك لأ لأنه بقدر أبدل أي عنصر مكان الثاني
+
+142
+00:15:04,290 --> 00:15:07,430
+بدون أي مشكلة إن كان تميل لكن if it's not 
+
+143
+00:15:07,430 --> 00:15:12,830
+abelian بيصير كلامي هذا كله ليس صحيحا طيب النقطة
+
+144
+00:15:12,830 --> 00:15:23,270
+الثامنة بيقول if الـ g و الـ plus is a group is a
+
+145
+00:15:23,270 --> 00:15:28,190
+group then
+
+146
+00:15:30,130 --> 00:15:47,370
+الـ inverse of g is minus g that is a n الـ g
+
+147
+00:15:47,370 --> 00:15:53,710
+inverse هي عبارة عن سالب g and
+
+148
+00:15:55,880 --> 00:16:04,480
+الـ G Inverse كل تكعيب بده يساوي سالب ثلاثة G
+
+149
+00:16:28,420 --> 00:16:34,920
+بترجع مرة ثانية لهذه النقاط الأساسية الثمانية لأن
+
+150
+00:16:34,920 --> 00:16:40,000
+هذه الأساسية عندنا بتظل معانا طيلة شغلنا في علم
+
+151
+00:16:40,000 --> 00:16:45,400
+الجبر من الآن فصاعدا لن نتفق على هذه النقاط مرة
+
+152
+00:16:45,400 --> 00:16:50,680
+أخرى يبقى النقطة الأخرى إحنا بنشتغل داخل الـ group
+
+153
+00:16:50,680 --> 00:16:55,240
+وليس داخل الـ set of real number إحنا بنشتغل داخل الـ
+
+154
+00:16:55,240 --> 00:16:59,380
+group من ما كانت الـ group تكون هذه بقول لو كانت جي
+
+155
+00:16:59,380 --> 00:17:04,760
+جروب و أخذت عنصر جي موجود في جي يبقى معكوس الجي من
+
+156
+00:17:04,760 --> 00:17:11,040
+الآن فصاعدا هنرمز له بالرمز G inverse وليس G سالب
+
+157
+00:17:11,040 --> 00:17:16,140
+واحد يعني هذه ليست واحد على جي تمام أيوة مشان
+
+158
+00:17:16,140 --> 00:17:22,000
+ما تتوهش بين غسيل اكتب لـ G inverse لا تساوي واحد على
+
+159
+00:17:22,000 --> 00:17:26,600
+جي يمكن في بعض التعريفات هيها صحيح الـ G inverse
+
+160
+00:17:26,600 --> 00:17:31,920
+واحد على G بس in general الكلام هذا ليس صحيحا طيب
+
+161
+00:17:31,920 --> 00:17:35,900
+النقطة الثانية لو كانت الـ N positive integer عدد
+
+162
+00:17:35,900 --> 00:17:41,900
+صحيح موجب يبقى المقصود بـ G N هي G star G star G
+
+163
+00:17:41,900 --> 00:17:46,740
+star G N من المرات يعني بدي أطبق الـ binary
+
+164
+00:17:46,740 --> 00:17:51,510
+operation على الـ element هذا N من المرات النقطة
+
+165
+00:17:51,510 --> 00:17:56,070
+الثالثة الـ A element في الـ group G لو حطيت له
+
+166
+00:17:56,070 --> 00:17:59,570
+الأس Zero بدي يعطيني دائما و أبدا الـ identity
+
+167
+00:17:59,570 --> 00:18:06,590
+element لما أقول GN يمكن صياغتها بصياغة أخرى و
+
+168
+00:18:06,590 --> 00:18:11,990
+هتشوفوا وإحنا بنبرهن هنضطر نصيغ الـ GN بالصياغة
+
+169
+00:18:11,990 --> 00:18:19,070
+هذه يبقى هي G inverse و سالب N هذه و هذه الاثنين
+
+170
+00:18:19,070 --> 00:18:27,180
+are the same النقطة الخامسة GM مضروبة في GN يبقى
+
+171
+00:18:27,180 --> 00:18:31,960
+بنجمع الأسس جمع هذه ليست ضرب وإنما ما المقصود
+
+172
+00:18:31,960 --> 00:18:40,770
+بها Star GM Star GN يبقى GM زائد M لو كان الأس
+
+173
+00:18:40,770 --> 00:18:46,010
+أسا مركبا يبقى بنضرب هذه الأسس في بعض يبقى G
+
+174
+00:18:46,010 --> 00:18:52,030
+M N يساوي G أس M N بدل الـ N و الـ M لأن هم هدول
+
+175
+00:18:52,030 --> 00:18:57,470
+integers و اثنين are positive يبقى G N M أو G N
+
+176
+00:18:57,470 --> 00:19:03,240
+أس M كله are the same لأ لو جيت لحاصل ضرب a b to
+
+177
+00:19:03,240 --> 00:19:10,360
+the power n لا يساوي a n في b n ولكن هذا يساوي a b
+
+178
+00:19:10,360 --> 00:19:18,160
+a b a b a b a b n من المرات ولا يساوي a n b n لكن
+
+179
+00:19:18,160 --> 00:19:23,100
+إن كانت الـ g abelian بقدر أبدل الـ a مكان الـ b
+
+180
+00:19:23,100 --> 00:19:28,220
+وبالتالي يطلع عند الـ a b to the power n يساوي a n
+
+181
+00:19:28,220 --> 00:19:35,950
+b n يبقى دي بالك اه لو قلت لك a زائد b لكل تربيع مش
+
+182
+00:19:35,950 --> 00:19:39,610
+هتقول اه تربيع زائد اثنين a b زائد b تربيع هذا
+
+183
+00:19:39,610 --> 00:19:44,490
+الكلام غلط a تربيع أو زائد b تربيع صح بس مش اثنين
+
+184
+00:19:44,490 --> 00:19:50,830
+a b يبقى زائد a b زائد b a يعني بهذا الشكل هذا لما
+
+185
+00:19:50,830 --> 00:19:56,770
+أقول لك a زائد b لكل تربيع لو حبيت أشوفهم هذول في الـ
+
+186
+00:19:56,770 --> 00:20:02,110
+group شو شكلهم يبقى بأجي بقول لك هذا a تربيع مظبوط و
+
+187
+00:20:02,110 --> 00:20:09,990
+هذا زائد a b و هذا زائد b a و هذا زائد b تربيع هيك
+
+188
+00:20:09,990 --> 00:20:14,690
+صح لكن تقول لي a تربيع زائد اثنين a b زائد b تربيع
+
+189
+00:20:14,690 --> 00:20:19,010
+هذا كلام غلط إلا إذا كانت أبيلا غير هيك بيعطيك
+
+190
+00:20:19,010 --> 00:20:24,580
+الله يبقى دير بالك من الشغل هذه طيب النقطة الثامنة
+
+191
+00:20:24,580 --> 00:20:30,020
+و الأخيرة لو كانت العملية الـ binary operation معرفة
+
+192
+00:20:30,020 --> 00:20:36,120
+على الـ group G هي عملية الجمع يبقى الـ G inverse
+
+193
+00:20:36,120 --> 00:20:42,380
+في هذه الحالة هيكون هو سالب G يبقى معكوس الـ G هو
+
+194
+00:20:42,380 --> 00:20:47,600
+سالب G that is الـ G inverse هي سالب G و في هذه
+
+195
+00:20:47,600 --> 00:20:55,100
+الحالة أقول جي انفرس أو تكعيب يعني إيش؟ يعني سالب
+
+196
+00:20:55,100 --> 00:21:01,480
+جي الكل تكعيب و هذه تعتبر سالب ثلاثة جي لأن عند
+
+197
+00:21:01,480 --> 00:21:06,080
+الجمع بدي أقول سالب جي سالب جي سالب جي بيبقى
+
+198
+00:21:06,080 --> 00:21:13,530
+سالب ثلاثة جي وكأنه بيضرب الأسس في بعضها و بنزله تحت
+
+199
+00:21:13,530 --> 00:21:18,110
+بالشكل اللي عنده هذا بيطلع الكلام مائة بالمائة طيب
+
+200
+00:21:18,110 --> 00:21:22,650
+ورسو لو بده أقول جي تكعيب العملية عملية الجمع
+
+201
+00:21:22,650 --> 00:21:28,750
+يبقى بده أقول جي زائد جي زائد جي وليس تضرب يبقى
+
+202
+00:21:28,750 --> 00:21:33,670
+هذه كلها تساوي من تساوي ثلاثة جي يبقى إذا العملية
+
+203
+00:21:33,670 --> 00:21:39,080
+على الـ group G هي عملية الجمع العادية يبقى جي
+
+204
+00:21:39,080 --> 00:21:44,420
+تكعيب هي عبارة عن ثلاثة جي جي أس عشرة تعني عشرة جي
+
+205
+00:21:44,420 --> 00:21:50,620
+جي أس سالب ثمانية تعني سالب ثمانية جي and so on و
+
+206
+00:21:50,620 --> 00:21:59,680
+هكذا طيب في الآن بدنا نيجي للنقطة الخامسة if الـ a
+
+207
+00:21:59,680 --> 00:22:07,020
+نقطة الخامسة if الـ a and الـ b belong
+
+208
+00:22:14,690 --> 00:22:24,890
+بالنسبة للمجموعة جي ثم أي بي الكل انفرس بدي يساوي بي
+
+209
+00:22:24,890 --> 00:22:37,030
+انفرس أي انفرس خلي
+
+210
+00:22:37,030 --> 00:22:43,070
+بالك هنأ لو في عنصرين في قلوبهم وضربتهم في بعضهم
+
+211
+00:22:43,070 --> 00:22:48,230
+بدي أجيب المعكوس تبعهم يبقى المعكوس بقول A B كل
+
+212
+00:22:48,230 --> 00:22:54,110
+inverse عمليا بقدر أقول هذا B inverse A inverse
+
+213
+00:22:54,110 --> 00:22:58,950
+يعني كتبت الـ inverse لكل واحد فيهم و قلبت الوضع
+
+214
+00:22:58,950 --> 00:23:04,990
+هروح نبرهن صحة هذا الكلام إحنا قبل قليل أثبتنا أن
+
+215
+00:23:04,990 --> 00:23:09,140
+الـ inverse element وحيد و الله أكبر من واحد إلا
+
+216
+00:23:09,140 --> 00:23:14,040
+إنصار واحد هو واحد يبقى الـ a b ما له إلا معكوس
+
+217
+00:23:14,040 --> 00:23:20,180
+واحد هدف يقول أنه يله جداش اثنين مدام اثنين لازم
+
+218
+00:23:20,180 --> 00:23:25,000
+اثنين يتساوى طبقا للخاصية اللي قبل قليل يبقى أنا
+
+219
+00:23:25,000 --> 00:23:30,200
+لو قدرت أثبت أن الـ b inverse a inverse هو معكوس الـ
+
+220
+00:23:30,200 --> 00:23:32,940
+a b بتمن المطلوب مظبوط
+
+221
+00:23:37,330 --> 00:23:46,230
+بما أن الـ a و الـ b موجود في الـ g, we have أن حاصل
+
+222
+00:23:46,230 --> 00:23:51,570
+الضرب a,b موجود في g لماذا؟ لمشان الـ binary
+
+223
+00:23:51,570 --> 00:23:56,210
+operation a to elements a star b لازم يكون موجود
+
+224
+00:23:56,210 --> 00:24:03,250
+في جي ما دام موجود في جي هذا معناه there exists
+
+225
+00:24:03,250 --> 00:24:15,690
+inverse for the element a,b لازم نجي له معكوس that
+
+226
+00:24:15,690 --> 00:24:23,790
+is A B الكل inverse مش شاكب إنها رمز المعكوس تبع الـ
+
+227
+00:24:23,790 --> 00:24:29,730
+A B A B inverse طيب أنا بدي أشوف اللي كاتبه لي هذا
+
+228
+00:24:29,730 --> 00:24:34,670
+إذا ضربت في A B من اليمين و من اليسار و طلع الـ
+
+229
+00:24:34,670 --> 00:24:39,250
+identity الـ e يبقى هذا كمان inverse صح ولا لا
+
+230
+00:24:39,250 --> 00:24:48,090
+الآن لو جيت و قلت لك consider خد لي الـ A B في الـ B
+
+231
+00:24:48,090 --> 00:24:53,590
+inverse A inverse هأشوف كده بده يعطيني هذا الآن بدّه
+
+232
+00:24:53,590 --> 00:24:58,450
+أستخدم خاصية الـ associativity يبقى هذا بدّه يعطيني
+
+233
+00:24:58,450 --> 00:25:05,910
+A في B في الـ B inverse في الـ A inverse الـ B في الـ
+
+234
+00:25:05,910 --> 00:25:12,210
+B inverse بيعطيني الـ identity يبقى الـ A في الـ E في
+
+235
+00:25:12,210 --> 00:25:17,700
+الـ A inverse الـ E أضرب في أي عنصر بيطلع؟ نفس
+
+236
+00:25:17,700 --> 00:25:23,320
+العنصر يبقى هذا A A inverse يبقى بدّه يساوي الـ
+
+237
+00:25:23,320 --> 00:25:28,960
+identity E ما نفعش من اليسار و بس و من اليمين لازم
+
+238
+00:25:28,960 --> 00:25:35,410
+يكون من وين؟ من الطرفين يبقى بأجي بقوله and الـ b
+
+239
+00:25:35,410 --> 00:25:42,670
+inverse a inverse في الـ a b بدّه يساوي b inverse في
+
+240
+00:25:42,670 --> 00:25:50,410
+الـ a inverse a في الـ a inverse a في من؟ في الـ b
+
+241
+00:25:50,410 --> 00:25:56,190
+طيب هذا العنصر و معكوسه بيعطيني من؟ الـ identity
+
+242
+00:25:56,190 --> 00:26:02,420
+element يبقى هذا بدّه يعطينا P inverse AB اللي هو
+
+243
+00:26:02,420 --> 00:26:07,200
+بدّه يعطينا P inverse P بدّه يعطينا من الـ identity
+
+244
+00:26:07,200 --> 00:26:12,400
+element بناء عليه هذا الـ element P inverse A
+
+245
+00:26:12,400 --> 00:26:18,840
+inverse حقق ليه خاصية معكوس العنصر AB يبقى من
+
+246
+00:26:18,840 --> 00:26:25,940
+الاثنين هدول مع بعض بقدر أقول هذا بدّه يعطيني أن b
+
+247
+00:26:25,940 --> 00:26:37,140
+inverse a inverse is the inverse element of a,b
+
+248
+00:26:37,140 --> 00:26:41,800
+يبقى هذا العنصر هو معكوس الـ a,b لكن إحنا عندنا
+
+249
+00:26:41,800 --> 00:26:46,900
+معكوس الـ a,b مين هو اللي فاج يبقى دول اثنين معاهم
+
+250
+00:26:47,490 --> 00:26:55,110
+لازم يتساوى فبأجي بقوله since بما أن the inverse 
+
+251
+00:26:55,110 --> 00:27:05,950
+the inverse of an element of a group G is unique
+
+252
+00:27:13,670 --> 00:27:20,850
+إن (A B) الكل inverse يساوي B inverse A inverse
+
+253
+00:27:20,850 --> 00:27:24,010
+اللي 
+
+254
+00:27:24,010 --> 00:27:28,830
+خليني أسألكوا هذا السؤال و أشوف إيش رأيكوا فيه طيب
+
+255
+00:27:28,830 --> 00:27:36,510
+يا شباب أنا لو بدي (A B C) الكل inverse إيش بده يساوي
+
+256
+00:27:40,480 --> 00:27:44,280
+C inverse B inverse A inverse يعني يبقى شكل من
+
+257
+00:27:44,280 --> 00:27:51,260
+الآخر للأول يبقى هذا الكلام بدي يعطيني C inverse و
+
+258
+00:27:51,260 --> 00:27:56,600
+هنا B inverse و هنا A inverse ثلاثة أربعة عشان 
+
+259
+00:27:56,600 --> 00:28:01,440
+الله يكونوا مية بدك تبدأ من الآخر و ترجع رجوع يبقى
+
+260
+00:28:01,440 --> 00:28:09,060
+هذا هو المعكوس لمن؟ للعنصر اللي عندنا الآن في سؤال
+
+261
+00:28:09,060 --> 00:28:15,840
+في الكتاب سؤال 18 برضه بدي اعتبره خاصية مهمة
+
+262
+00:28:15,840 --> 00:28:22,540
+جدا بتلزمنا أثناء الشغل سؤال 18 بيقول لي if G
+
+263
+00:28:22,540 --> 00:28:31,610
+is a group لو كانت ال G group then الـ A Inverse
+
+264
+00:28:31,610 --> 00:28:39,910
+Inverse بده يساوي A itself هذا الكلام صحيح لكل ال
+
+265
+00:28:39,910 --> 00:28:42,390
+A الموجود في ال group G
+
+266
+00:29:05,530 --> 00:29:11,690
+خليني أقول له في ال group G معكوس المعكوس بيعطينا
+
+267
+00:29:11,690 --> 00:29:17,730
+الأصل A inverse inverse بيعطينا A قبل ما توجد A 
+
+268
+00:29:17,730 --> 00:29:23,630
+المعكوس تبعه يبقى من الآن فصاعدا معكوس معكوس ال
+
+269
+00:29:23,630 --> 00:29:28,130
+element بيرجعني لل element itself بدنا نروح نثبت
+
+270
+00:29:28,130 --> 00:29:32,090
+صحة هذا الكلام يبقى باجي بقوله ل ال professor
+
+271
+00:29:38,960 --> 00:29:49,840
+لت ال a موجود في ال group g then a inverse موجود
+
+272
+00:29:49,840 --> 00:29:57,830
+في g معكوسه موجود في جيه كمان معكوس هذا لازم يكون 
+
+273
+00:29:57,830 --> 00:30:06,150
+موجود في جيه صحيح يبقى then and a inverse inverse
+
+274
+00:30:06,150 --> 00:30:12,530
+موجود في جيه ليش لأنه إذا وجد عنصر في ال group
+
+275
+00:30:12,530 --> 00:30:17,610
+لازم يكون معكوسه موجود شو معكوسه اللي هو a inverse
+
+276
+00:30:17,610 --> 00:30:25,060
+inverse طيب مدام هيك لو جيت أخدت ال a inverse
+
+277
+00:30:25,060 --> 00:30:33,820
+inverse inverse مش هذا العنصر و هذا معكوسه حاصل
+
+278
+00:30:33,820 --> 00:30:40,860
+ضربه ما شو بده يطيني ال identity element طيب إيش
+
+279
+00:30:40,860 --> 00:30:47,440
+رأيك لو روحت ضربت من جهة الشمال بالعنصر a اتصلت من
+
+280
+00:30:47,440 --> 00:30:54,760
+جهة الشمال هاهدر بالك يبقى هذا الـ A مضروب في الـ A
+
+281
+00:30:54,760 --> 00:31:02,060
+inverse في الـ A inverse inverse يبقى هذا الـ A
+
+282
+00:31:02,060 --> 00:31:03,360
+مضروب في الـ A inverse inverse يبقى هذا الـ A
+
+283
+00:31:03,360 --> 00:31:04,500
+مضروب في الـ A inverse inverse يبقى هذا الـ A
+
+284
+00:31:04,500 --> 00:31:06,880
+مضروب في الـ A inverse inverse يبقى هذا الـ A
+
+285
+00:31:06,880 --> 00:31:11,880
+مضروب في الـ A inverse inverse يبقى
+
+286
+00:31:11,880 --> 00:31:15,540
+هذا الـ A مضروب في الـ A inverse inverse يبقى هذا
+
+287
+00:31:26,790 --> 00:31:33,030
+العنصر في المعكوس يعطينا ال identity element يبقى
+
+288
+00:31:33,030 --> 00:31:38,970
+هذا يعطينا أن ال E في A inverse inverse
+
+289
+00:31:41,540 --> 00:31:45,380
+الـ identity element لما نقضبه في أي عنصر بيطلع
+
+290
+00:31:45,380 --> 00:31:51,460
+نفس العنصر يبقى بناء عليه a inverse inverse بده
+
+291
+00:31:51,460 --> 00:31:57,240
+يساوي ال a itself عزيزي و هو المطلوب؟ طيب و هو
+
+292
+00:31:57,240 --> 00:32:02,360
+المطلوب و انتهينا من هذا ال section و إليكم ال
+
+293
+00:32:02,360 --> 00:32:10,730
+exercises بدنا ياكم تمرني أديكم بسؤال 5 و 6 و
+
+294
+00:32:10,730 --> 00:32:21,230
+8 و 10 و 12 و 17 و 19 و 4 و
+
+295
+00:32:21,230 --> 00:32:30,690
+20 و 25 و 26 و 3 و
+
+296
+00:32:30,690 --> 00:32:39,050
+33 و 34 و 35 و 39 و
+
+297
+00:32:39,050 --> 00:32:39,730
+30
+
+298
+00:32:44,920 --> 00:32:49,500
+هذا لا يعني أن بقى الناس مشطوبة لا مش مشطوبة إذا
+
+299
+00:32:49,500 --> 00:32:54,500
+بتحل هدوله كمان جدهم بيكونوا كويس مش غلط لكن أنا
+
+300
+00:32:54,500 --> 00:32:59,720
+بهمني هدول انتقنهم انتقاء بحيث يغطوا فكرة كثيرة
+
+301
+00:32:59,720 --> 00:33:05,780
+موجودة في التمرين ولذلك هدول من أهم المسائل اللي
+
+302
+00:33:05,780 --> 00:33:10,440
+موجودة في التمرين لعل يكون فيها فكرة جديدة نحاول
+
+303
+00:33:10,440 --> 00:33:15,190
+نستفيد هذه الفكرة طبعا عندكم محاضرة اليوم 14
+
+304
+00:33:15,190 --> 00:33:20,270
+الواحدة مش حاجة حل الأسئلة لأ حابد محاضرة جديدة
+
+305
+00:33:20,270 --> 00:33:24,710
+لكن الأسئلة ليوم إيش؟ ليوم الاثنين مش هتروح تحل
+
+306
+00:33:24,710 --> 00:33:29,690
+عليك مش هنحل و أنت تنسخ ولا عمرك بتستفيد حاجة بدك
+
+307
+00:33:29,690 --> 00:33:34,510
+تفكر من هنا لبعد بكرة في حل هذه المسألة و تحاول تحل
+
+308
+00:33:34,510 --> 00:33:38,430
+بقدر الامكان و اللي يصعب عليك بعد بكرة إن شاء الله
+
+309
+00:33:38,430 --> 00:33:43,610
+بنحله مهما كان شكل هذا السؤال واضح كلام ايه؟ يعني
+
+310
+00:33:43,610 --> 00:33:47,970
+بديك بعض المادة تيجي جاهز نفسك للنقاش، هيكون في
+
+311
+00:33:47,970 --> 00:33:51,950
+نقاش كثير حسب اللي يمكن اللي يسألكوا كلكوا أو ثلث
+
+312
+00:33:51,950 --> 00:33:56,330
+رباعكوا أو نصفكوا حسب ما الوقت اللي ايه المتاح يعني
+
+313
+00:33:56,330 --> 00:34:00,050
+كل وحدة أنت تتوجهلك السؤال إيش رأيك في السؤال لوين
+
+314
+00:34:00,050 --> 00:34:04,970
+وصلت فيه إيش حلت إيش كده إلى آخره هيك بيصير مخك
+
+315
+00:34:04,970 --> 00:34:10,210
+يفهم اللي هو جبر و بتستطيع أن تمشي معانا ما حلتش
+
+316
+00:34:10,210 --> 00:34:14,250
+والله عمرك ما هتمشي هتضلك قاعد عندنا هنا على طول
+
+317
+00:34:14,250 --> 00:34:21,770
+هاي نعم يبقى الآن نحاول بقدر الامكان تحل هذه المسائل
+
+318
+00:34:21,770 --> 00:34:26,830
+أنا متأكد أنه مش هتعرف تحلهم كلهم لكن على الأقل
+
+319
+00:34:26,830 --> 00:34:32,350
+بتحل شيء كثير منهم ولذلك المناقشة حتى اللي
+
+320
+00:34:32,350 --> 00:34:38,670
+ما عرفناش نحله الروح نحله في محاضرة المناقشة طيب
+
+321
+00:34:38,670 --> 00:34:43,230
+عليك بكون انتهينا من هذا ال chapter بدنا نروح لل
+
+322
+00:34:43,230 --> 00:34:48,010
+chapter اللي بعده اللي هو chapter 3 chapter
+
+323
+00:34:48,010 --> 00:34:54,690
+3 يا شباب اللي هو بيتحدث عن ال subgroups يعني
+
+324
+00:34:54,690 --> 00:34:59,110
+احنا كنا بنشتغل في ال groups الآن بدنا نبدأ ناخد
+
+325
+00:34:59,110 --> 00:35:12,310
+مجموعات جزئية منها يبقى chapter 3 finite groups
+
+326
+00:35:12,310 --> 00:35:20,390
+finite groups finite
+
+327
+00:35:20,390 --> 00:35:21,110
+groups finite groups finite groups finite groups
+
+328
+00:35:21,110 --> 00:35:22,930
+finite groups finite groups finite groups finite
+
+329
+00:35:22,930 --> 00:35:24,850
+groups finite groups finite groups finite groups
+
+330
+00:35:24,850 --> 00:35:26,470
+finite groups finite groups finite groups finite
+
+331
+00:35:26,470 --> 00:35:34,790
+groups finite groups جديدة قبل أن نبدأ في الـ
+
+332
+00:35:34,790 --> 00:35:40,570
+subgroups حاجة اسمها ال order لل group و ال order لل
+
+333
+00:35:40,570 --> 00:35:46,090
+element اللي موجود في ال group أول شيء بالبلدي هيك
+
+334
+00:35:46,090 --> 00:35:50,900
+قبل ما نكتب له أردت ال order لجروب فأذهب بعد
+
+335
+00:35:50,900 --> 00:35:56,000
+عناصرها جداش ال order لجروب هو عدد العناصر في
+
+336
+00:35:56,000 --> 00:35:59,620
+الجروب جروب فيها أربع عناصر يبقى ال order لها
+
+337
+00:35:59,620 --> 00:36:04,480
+يساوي أربعة جروب فيها عشر عناصر يبقى ال order لها
+
+338
+00:36:04,480 --> 00:36:11,770
+يساوي عشرة و هكذا لكن ال order لل element اللي
+
+339
+00:36:11,770 --> 00:36:18,150
+موجود في ال group هو أصغر عدد صحيح موجب بحطه ك أسل
+
+340
+00:36:18,150 --> 00:36:21,170
+هذا ال element بيعطينا ال identity
+
+341
+00:36:26,400 --> 00:36:29,720
+أصغر عدد صحيح موجب أصغر عدد صحيح موجب أصغر عدد
+
+342
+00:36:29,720 --> 00:36:32,280
+صحيح موجب أصغر عدد صحيح موجب أصغر عدد صحيح موجب
+
+343
+00:36:32,280 --> 00:36:34,300
+أصغر عدد صحيح موجب أصغر عدد صحيح موجب أصغر عدد
+
+344
+00:36:34,300 --> 00:36:38,640
+صحيح موجب أصغر عدد صحيح موجب أصغر عدد صحيح موجب
+
+345
+00:36:38,640 --> 00:36:43,420
+أصغر عدد صحيح موجب أصغر عدد صحيح موجب أصغر عدد
+
+346
+00:36:43,420 --> 00:36:45,120
+صحيح موجب أصغر عدد صحيح موجب أصغر عدد صحيح موجب
+
+347
+00:36:45,120 --> 00:36:49,640
+أصغر عدد 
+
+348
+00:36:49,640 --> 00:37:01,290
+صحيح موجب the order of G as the number
+
+349
+00:37:01,290 --> 00:37:08,950
+of elements
+
+350
+00:37:08,950 --> 00:37:18,050
+in G which is denoted by
+
+351
+00:37:22,800 --> 00:37:29,120
+|G| جيه ما بين خطين و تقرأ ال order لجيه مش
+
+352
+00:37:29,120 --> 00:37:34,400
+absolute value لجيه يبقى هذا هو ال order لجيه
+
+353
+00:37:34,400 --> 00:37:39,440
+command definition ثاني ال order لل element the
+
+354
+00:37:39,440 --> 00:37:53,720
+order of an element of an element اللي موجود في G
+
+355
+00:37:53,720 --> 00:38:04,040
+is the smallest positive
+
+356
+00:38:04,040 --> 00:38:07,580
+integer
+
+357
+00:38:37,950 --> 00:38:46,780
+بنروح نكتب ال order لـ G بده يساوي ال n في عندنا
+
+358
+00:38:46,780 --> 00:38:59,960
+بعض ال notes البسيطة أول واحدة if the operation on
+
+359
+00:38:59,960 --> 00:39:11,100
+G is addition is addition عملية الجمع then
+
+360
+00:39:30,230 --> 00:39:38,950
+النقطة الثانية is the order of
+
+361
+00:39:38,950 --> 00:39:41,250
+the identity
+
+362
+00:39:42,600 --> 00:40:00,500
+element E is واحدة صحيحة النقطة الثالثة if there is if
+
+363
+00:40:00,500 --> 00:40:10,380
+there is no positive integer n
+
+364
+00:40:11,810 --> 00:40:17,310
+such that الـ
+
+365
+00:40:17,310 --> 00:40:25,310
+G to the power N بده يساوي ال identity then ال order
+
+366
+00:40:25,310 --> 00:40:29,270
+لـ G is infinite
+
+367
+00:41:00,880 --> 00:41:05,620
+نرجع لهذه التعريفين والملاحظات اللي على التعريفين
+
+368
+00:41:05,620 --> 00:41:10,920
+مرة ثانية بقول the order of a group G is the
+
+369
+00:41:10,920 --> 00:41:16,980
+number of elements in G عدد العناصر في G واللي
+
+370
+00:41:16,980 --> 00:41:22,280
+بتدرمزله بالرمز |G| جيه ما بين خطين ليست absolute value
+
+371
+00:41:22,280 --> 00:41:28,140
+لـ G وإنما ال order لـ G يبقى ال order لـ G هو
+
+372
+00:41:28,140 --> 00:41:33,360
+عدد العناصر في ال group السؤال هو هل ممكن عدد
+
+373
+00:41:33,360 --> 00:41:37,960
+العناصر يكون محدود يعني رقم و ممكن يكون كذلك
+
+374
+00:41:37,960 --> 00:41:43,760
+infinity ممكن اثنين وردات يعني ال group قد تنتهي
+
+375
+00:41:43,760 --> 00:41:48,700
+وبالتالي عدد العناصر يكون finite وقد لا تنتهي 
+
+376
+00:41:48,700 --> 00:41:54,340
+وبالتالي هذه العناصر infinite زي الـ R star اللي
+
+377
+00:41:54,340 --> 00:41:57,760
+هي set of real numbers لما أشيل منها zero تحت 
+
+378
+00:41:57,760 --> 00:42:01,680
+عملية الضرب أكم أنصر فيها دي group طبعا أكم أنصر
+
+379
+00:42:01,680 --> 00:42:06,200
+فيها مالانهاية من العناصر إذا من الـ order لل
+
+380
+00:42:06,200 --> 00:42:11,430
+group G في هذه الحالة بيكون infinite لكن لو روحت ل
+
+381
+00:42:11,430 --> 00:42:17,110
+ZN و لا UN و لا كل الأمثلة اللي أخدناهم هذه بيصير 
+
+382
+00:42:17,110 --> 00:42:21,630
+مالها finite أربع عناصر ستة عناصر عشرين عنصر حسب
+
+383
+00:42:21,630 --> 00:42:27,110
+قيمة N طيب التعريف الثاني بيقول الـ order of an element
+
+384
+00:42:27,110 --> 00:42:31,850
+g اللي موجود في G is the smallest positive integer
+
+385
+00:42:31,850 --> 00:42:37,870
+in such that الـ g n بده يساوي e وله نفس الرمز
+
+386
+00:42:37,870 --> 00:42:41,750
+الـ order للـ element g بده يساوي مين؟ بده يساوي ال
+
+387
+00:42:41,750 --> 00:42:46,770
+n استنى شوية طيب أنا افترض بقدر آخد أي عنصر
+
+388
+00:42:46,770 --> 00:42:52,290
+من الـ group مين ما كان يسميته ايه؟ رفعتله أس
+
+389
+00:42:52,290 --> 00:42:57,850
+عشرين لقيته الـ identity element إذا الـ order لإيه
+
+390
+00:42:57,850 --> 00:43:05,060
+يساوي عشرين؟ قد يكون وقد لا يكون كيف قد يكون؟ احنا
+
+391
+00:43:05,060 --> 00:43:08,600
+قلنا the smallest positive integer يمكن في رقم تحت
+
+392
+00:43:08,600 --> 00:43:13,320
+العشرين زي عشرة يكون A أس عشرة يساوي الـ identity
+
+393
+00:43:13,320 --> 00:43:17,600
+فإن كان A أس عشرة يساوي الـ identity إذا A أس
+
+394
+00:43:17,600 --> 00:43:20,720
+عشرين يساوي الـ identity A أس ثلاثين يساوي ال
+
+395
+00:43:20,720 --> 00:43:26,800
+identity A أس خمسين يبقى أصغر رقم إن بحطه كأس
+
+396
+00:43:26,800 --> 00:43:30,990
+لهذا الـ element بده يعطيه الـ identity إن حدث ذلك
+
+397
+00:43:30,990 --> 00:43:35,150
+يبقى هذا الرقم هو الـ order تبع مين؟ تبع هذا ال
+
+398
+00:43:35,150 --> 00:43:39,190
+element يبقى لو قال show that the order of this
+
+399
+00:43:39,190 --> 00:43:45,410
+element is كذا أو رقم تمام أحط أس لهذا الرقم يطلع
+
+400
+00:43:45,410 --> 00:43:50,040
+الـ identity ما أقدرش أقول هذا هو الـ order يا الـ order
+
+401
+00:43:50,040 --> 00:43:55,380
+يا أقل منه إذا بدأ أستبعد اللي أقل منه يبقى إجباري
+
+402
+00:43:55,380 --> 00:43:59,080
+بيصير هذا يا إما هذا هو الـ order و هنشوف هذا الكلام
+
+403
+00:43:59,080 --> 00:44:05,000
+من خلال المسائل يبقى بديك تعرف أن الـ order لهذا ال
+
+404
+00:44:05,000 --> 00:44:11,040
+element أقل عدد صحيح موجب بحط أس لهذا الـ element
+
+405
+00:44:11,040 --> 00:44:15,490
+بيعطيني الـ Identity اللي جاي غيره ما ليش علاقة فيهم
+
+406
+00:44:15,490 --> 00:44:21,630
+و قدام شوية هنقول لك أن الـ order هذا بيقسم أي رقم
+
+407
+00:44:21,630 --> 00:44:25,490
+ثاني يحطه كأسه يطلع لنا الـ identity ما علينا
+
+408
+00:44:25,490 --> 00:44:29,870
+لسه بعيد عننا شوية يبقى باجي بقول الـ order لل
+
+409
+00:44:29,870 --> 00:44:36,290
+element g هو أصغر smallest و positive integer in
+
+410
+00:44:36,290 --> 00:44:40,290
+such that g to the power n بده يساوي الـ e وله
+
+411
+00:44:40,290 --> 00:44:46,630
+الرمز جي بين خطين وقول الرمز هذا يقرأ الـ order لـ g
+
+412
+00:44:46,630 --> 00:44:50,690
+وليس الـ absolute value لـ g الـ absolute للكل كلاس مش 
+
+413
+00:44:50,690 --> 00:44:54,930
+للجبر يبقى هنا بنقول اه بنقول الـ order لـ g يساوي
+
+414
+00:44:54,930 --> 00:45:00,230
+مين؟ يساوي الـ n طيب ممكن لـ group زي ما شوفنا في
+
+415
+00:45:00,230 --> 00:45:05,160
+الأمثلة على group تبقى العملية عملية جمع طيب لو
+
+416
+00:45:05,160 --> 00:45:10,780
+كانت عملية جمع ايش بصير شكل هذا الـ element يبقى لو
+
+417
+00:45:10,780 --> 00:45:14,520
+كانت الـ operation على G هو الجمع إذا الـ element
+
+418
+00:45:14,520 --> 00:45:19,320
+هذا بيصير in G يساوي الـ identity element تحت عملية
+
+419
+00:45:19,320 --> 00:45:23,140
+الجمع اللي هو main اللي هو الـ zero يبقى الـ G to
+
+420
+00:45:23,140 --> 00:45:26,840
+the power n يساوي الـ identity بترجم إلى in G
+
+421
+00:45:26,840 --> 00:45:31,480
+يساوي main الـ zero بشرط تبقى العملية المعرفة على
+
+422
+00:45:31,480 --> 00:45:36,980
+الـ group هي عملية الجمع العادية طيب بدنا ال
+
+423
+00:45:36,980 --> 00:45:41,900
+identity element ايه بدنا نعرف قداش الـ order أصغر
+
+424
+00:45:41,900 --> 00:45:46,220
+رقم بحطه للـ g بيطلع الـ e مين واحد يساوي e
+
+425
+00:45:46,220 --> 00:45:50,880
+واحد يساوي مين واحد إذا الـ order لأي identity
+
+426
+00:45:50,880 --> 00:45:53,600
+element مهما كان شكل الـ group
+
+427
+00:46:11,020 --> 00:46:19,800
+لو لم أجد عدد صحيح فأضعه كأسه g يعطينا الـ identity
+
+428
+00:46:19,800 --> 00:46:25,040
+elementيقول g أس مية ما طلعش الـ identity element
+
+429
+00:46:25,040 --> 00:46:29,100
+يقول g أس مليون ما طلعش الـ identity كل ما يجي
+
+430
+00:46:29,100 --> 00:46:32,740
+ذالك رقم ما يطلعش الـ identity element يبقى في هذه
+
+431
+00:46:32,740 --> 00:46:37,820
+الحالة الـ order لـ g قداش بيكون مالانهاية يبقى باجي
+
+432
+00:46:37,820 --> 00:46:42,880
+بقول الـ element هذا is of infinite order يبقى ال
+
+433
+00:46:42,880 --> 00:46:48,820
+order لهذا الـ element بيكون infinite وقد تستغربوا
+
+434
+00:46:48,820 --> 00:46:53,000
+أنه ممكن يكون واحنا بنشتغل هيك في الـ groups
+
+435
+00:46:53,000 --> 00:46:57,720
+element أخذه في الـ group الـ order له finite اتنين
+
+436
+00:46:57,720 --> 00:47:01,520
+ثلاثة عشر جد ما يكونوا element ثاني الـ order له 
+
+437
+00:47:01,520 --> 00:47:07,120
+finite أضرب اتنين في بعض يطلع الـ order infinite
+
+438
+00:47:09,630 --> 00:47:13,130
+طبعا أنت مش تغربين لكن هنعطيكم مثال إن شاء الله
+
+439
+00:47:13,130 --> 00:47:16,830
+نوضح فيه هذا الكلام يعني إن كان الـ order لل
+
+440
+00:47:16,830 --> 00:47:21,470
+element finite والـ order الثاني finite لو ضربت
+
+441
+00:47:21,470 --> 00:47:25,030
+اتنين في بعض بالـ operation start طلع element جديد
+
+442
+00:47:25,030 --> 00:47:29,910
+الـ element الجديد ليس بضرورة أن يكون finite وربما
+
+443
+00:47:29,910 --> 00:47:36,270
+infinite وخاصة في موضوع المصفوفات طيب نبدأ ناخد
+
+444
+00:47:36,270 --> 00:47:42,220
+بعض الأمثلة على هذه التعريف مشان يثبت هذه المعلومات
+
+445
+00:47:42,220 --> 00:47:50,340
+ولو على الأقل مثالا واحدا يبقى examples أول مثال
+
+446
+00:47:50,340 --> 00:47:59,440
+بيقول الـ let الـ G يساوي U 15 يبقى بدنا عناصر
+
+447
+00:47:59,440 --> 00:48:05,120
+الـ U 15 شبه مين الـ 1 والـ 2 والـ 3 منهم
+
+448
+00:48:05,960 --> 00:48:16,160
+الـ 4 والـ 5 والـ 6 والـ 7 والـ 8 والـ 9 والـ 10
+
+449
+00:48:16,160 --> 00:48:25,120
+الـ 11 والـ 12 والـ 13 وكمان 14 يبقى هاي
+
+450
+00:48:25,120 --> 00:48:32,240
+كتبتله الـ U 15 طيب بناء عليه الـ order لـ U
+
+451
+00:48:32,240 --> 00:48:38,520
+15 أنا بقول 15 ولا لأ لأ، وش جاب الـ 5؟ عد
+
+452
+00:48:38,520 --> 00:48:41,640
+العناصر 1، 2، 3، 4، 5، 6،
+
+453
+00:48:41,640 --> 00:48:46,220
+7، 8 يبقى الـ order اللي أجيبه يساوي 8
+
+454
+00:48:46,220 --> 00:48:53,560
+طيب لو بدي أجيب الـ order للواحد قداش؟
+
+455
+00:48:53,560 --> 00:48:57,500
+واحد لأن هذا هو الـ identity element يبقى الـ order
+
+456
+00:48:57,500 --> 00:49:03,630
+للواحد يساوي واحد طيب بدي الـ order لليتنين؟ شوف عاد
+
+457
+00:49:03,630 --> 00:49:07,570
+نضرب اتنين في نفسه كام مرة حتى يطلع عندي ال
+
+458
+00:49:07,570 --> 00:49:11,230
+identity element طبعا هنا عملية ضرب العادية 2
+
+459
+00:49:11,230 --> 00:49:19,370
+في 2 في 2 اساس 4 في 2 ب 8 في
+
+460
+00:49:19,370 --> 00:49:24,070
+2 ب 16 شيله هنا و 15 بضل اللي يقولوا
+
+461
+00:49:24,070 --> 00:49:29,400
+حد يبقى الـ order اللي جديش 4 يبقى الـ order لل
+
+462
+00:49:29,400 --> 00:49:36,220
+2 يساوي 4 because شو السبب إن 2 أس
+
+463
+00:49:36,220 --> 00:49:42,660
+1 يساوي 2 2 تربيع يساوي 4
+
+464
+00:49:42,660 --> 00:49:49,020
+تكعيب يساوي 8 2 أس 4 يساوي 16
+
+465
+00:49:49,020 --> 00:49:55,150
+modulo 15 يبقى هذا الكلام يساوي 1 هذا بدي
+
+466
+00:49:55,150 --> 00:50:00,770
+أعطيك إن الـ order لليتنين هو 4 طيب الـ order
+
+467
+00:50:00,770 --> 00:50:08,110
+لـ 4 similarly الـ order لـ 4 بده يساوي 2
+
+468
+00:50:08,110 --> 00:50:13,750
+ليش لإنه 4 في 4 ب 16 modulo 15 ب 1
+
+469
+00:50:13,750 --> 00:50:17,870
+عم يبقى ب 2 طيب لو روحتي وقلت لك الـ order ل
+
+470
+00:50:17,870 --> 00:50:27,030
+7 بدنا نعرف في هذا قد ايه يبقى بالضبط 7 أس 1
+
+471
+00:50:27,030 --> 00:50:30,290
+يساوي
+
+472
+00:50:30,290 --> 00:50:36,770
+7 هو 7 تربيع يساوي 49 modulo
+
+473
+00:50:36,770 --> 00:50:43,200
+15 15 في 3 ب 45 يطلع 4 طيب
+
+474
+00:50:43,200 --> 00:50:50,160
+لو جيت قلت لك 7 تكعيب يبقى يساوي 7 مضروبة في
+
+475
+00:50:50,160 --> 00:50:55,770
+4 modulo 15 4 في 7 ب 28
+
+476
+00:50:55,770 --> 00:50:57,190
+28 28 28 28
+
+477
+00:50:57,190 --> 00:51:01,690
+28 28 28 28 28 28 28 28
+
+478
+00:51:01,690 --> 00:51:06,870
+28 28
+
+479
+00:51:06,870 --> 00:51:10,250
+28 28 28 28 28 28 28 28
+
+480
+00:51:10,250 --> 00:51:10,430
+28 28 28 28 28 28 28 28
+
+481
+00:51:10,430 --> 00:51:11,310
+28 28 28 28 28 28 28 28
+
+482
+00:51:11,310 --> 00:51:11,770
+28 28 28 28 28 28 28 28
+
+483
+00:51:11,770 --> 00:51:14,370
+28 28 28 28 28 28 28 28
+
+484
+00:51:14,370 --> 00:51:21,670
+28 28 28 يبقى بناء عليه إن الـ order ل
+
+485
+00:51:21,670 --> 00:51:28,430
+7 بده يساوي قداش بده يساوي 4 وهكذا طيب
+
+486
+00:51:28,430 --> 00:51:35,250
+الـ 8 8 في 8 ب 64 شيل الـ 60
+
+487
+00:51:35,250 --> 00:51:39,810
+لأنه مضاعف لـ 15 بتظل 4 في 8 ب 32 و
+
+488
+00:51:39,810 --> 00:51:45,130
+30 شيل 30 بتظل 2 في 8 ب 16 يبقى
+
+489
+00:51:45,130 --> 00:51:51,460
+الـ order لـ 8 بقداش 4 يبقى similarly كمان
+
+490
+00:51:51,460 --> 00:52:00,140
+الـ order لـ 8 بده يساوي كذلك 4 وهكذا طيب خلينا نسأل
+
+491
+00:52:00,140 --> 00:52:06,740
+الـ order لـ 11 11
+
+492
+00:52:06,740 --> 00:52:14,040
+و 11 121 121 مش بتكسبها 15 لأنها بتكسبها 30 و 30
+
+493
+00:52:14,040 --> 00:52:20,250
+يبقى يبقى 1 يبقى الـ order للإحداش هو 2 وال
+
+494
+00:52:20,250 --> 00:52:27,710
+order للإحداش بده يساوي 2 فقط وهكذا يلا بنكمل
+
+495
+00:52:27,710 --> 00:52:29,070
+إن شاء الله بعد الظهر
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/W89d5Az0ySQ.srt b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/W89d5Az0ySQ.srt
new file mode 100644
index 0000000000000000000000000000000000000000..cc671cf38b0aec3c2a0f2a9afd633b4d11bbc6f1
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/W89d5Az0ySQ.srt
@@ -0,0 +1,1687 @@
+1
+00:00:21,260 --> 00:00:26,820
+بسم الله الرحمن الرحيم نعود ثانية إلى إكمال ما
+
+2
+00:00:26,820 --> 00:00:34,400
+بدأنا به حيث تركتكم بعد أنهينا الـ chapter 
+
+3
+00:00:34,400 --> 00:00:39,120
+subgroups والأستاذ محمود شرح لكم chapterين اللي هو
+
+4
+00:00:39,120 --> 00:00:43,660
+الـ cyclic groups و كذلك الـ permutations groups إذا
+
+5
+00:00:43,660 --> 00:00:48,250
+نصل الآن إلى الـ isomorphism بالبلدي هيك الـ
+
+6
+00:00:48,250 --> 00:00:52,770
+isomorphism عبارة عن function بس مش ما بين two
+
+7
+00:00:52,770 --> 00:00:57,810
+sets ما بين two groups بده تحقق ليه ثلاثة شروط
+
+8
+00:00:57,810 --> 00:01:03,710
+يبقى function وزيادة على ذلك بده تحقق ثلاث شروط
+
+9
+00:01:03,710 --> 00:01:07,210
+الشرط الأول هذه الـ function بده تبقى one to one
+
+10
+00:01:07,210 --> 00:01:12,510
+الشرط الثاني بده تبقى onto الشرط الثالث بده تحقق
+
+11
+00:01:12,510 --> 00:01:18,350
+الخاصية اللي عندنا هذه هذه التعريف يقول إن ايزو
+
+12
+00:01:18,350 --> 00:01:25,110
+مورفزم isomorphism بالعربي هيك التشاكل النماطي أو
+
+13
+00:01:25,110 --> 00:01:29,690
+التشابه النماطي ولان هنقول لك ايش معناها من
+
+14
+00:01:29,690 --> 00:01:34,230
+الناحية الرياضية بس اصبر علينا شوية يبقى أنا ايزو
+
+15
+00:01:34,230 --> 00:01:39,930
+مورفزم في حديله رمز في من الـ group جي لـ group جي بار
+
+16
+00:01:39,930 --> 00:01:46,130
+is one to one function يبقى function وكذلك one to
+
+17
+00:01:46,130 --> 00:01:52,110
+one from جي onto جي بار مش to جي بار يا شباب onto
+
+18
+00:01:52,110 --> 00:02:00,700
+onto جي بار such that بحيث أن الـPhi of A بيبقى
+
+19
+00:02:00,700 --> 00:02:05,360
+يساوي Phi of A في Phi of B يعني تأثير الـPhi على
+
+20
+00:02:05,360 --> 00:02:09,820
+حاصل الضرب الـtwo elements A وB بيبقى يساوي تأثير
+
+21
+00:02:09,820 --> 00:02:15,160
+الـPhi علي A مضروبا في تأثير الـPhi علي B دي ربالك
+
+22
+00:02:15,160 --> 00:02:21,100
+بديفهم كل شيء في مكانه كيف كل شيء في مكانه الآن
+
+23
+00:02:21,100 --> 00:02:26,040
+الـA و الـB وين موجودات؟ في جي جي عليها operation
+
+24
+00:02:26,040 --> 00:02:30,380
+غير الـ operation اللي على جي بار وبالتالي لما اقول
+
+25
+00:02:30,380 --> 00:02:36,060
+a بي اللي بينهم operation تبعت من تبعت الـ جي لكن
+
+26
+00:02:36,060 --> 00:02:39,760
+لما اقول في of ا في في of بي الـ operation اللي
+
+27
+00:02:39,760 --> 00:02:45,450
+بينهم ايه الـ operation تبعت من تبعت جي بار لما اقول
+
+28
+00:02:45,450 --> 00:02:51,450
+two elements في جي بار هدول a وb two elements في g
+
+29
+00:02:51,450 --> 00:02:59,990
+لما اقول a في b الـ operation بينهم
+
+30
+00:02:59,990 --> 00:03:07,230
+تبعت جي بار طيب الان لو كان five من جي إلى جي بار
+
+31
+00:03:07,230 --> 00:03:12,010
+هو عبارة عن isomorphism بقدر اقول عن جي و جي بار
+
+32
+00:03:12,010 --> 00:03:17,810
+are isomorphic يبقى الـ two groups دول في تشابه
+
+33
+00:03:17,810 --> 00:03:25,810
+رياضي، تشابه نماطي، تشاكل نماطي فيما بينهم وباكتب
+
+34
+00:03:25,810 --> 00:03:32,410
+الـ isomorphism مش باكتبه يساوي باكتبه جي و خطين
+
+35
+00:03:32,410 --> 00:03:38,090
+متعرجين بالشكل هادى جي بار و تقرا جي isomorphic لـ
+
+36
+00:03:38,090 --> 00:03:44,030
+جي بار طيب بالمعنى الرياضي ايش يعني معنى isomorphism
+
+37
+00:03:44,030 --> 00:03:49,690
+أو G isomorphic لـ G bar لاحظ من خلال التعريف لما
+
+38
+00:03:49,690 --> 00:03:53,750
+يقول الـ group هذي و الـ group هذي في function بينهم
+
+39
+00:03:53,750 --> 00:03:59,510
+one to one and onto السؤال الأول هل سيختلف عدد
+
+40
+00:03:59,510 --> 00:04:03,150
+العناصر في الـ group الأولى عن عدد عناصر الـ group
+
+41
+00:04:03,150 --> 00:04:10,130
+التانية؟ في اختلاف؟ لأ لإن واحد لواحد اتنين الـ
+
+42
+00:04:10,130 --> 00:04:15,110
+domain بيغطي جميع عناصر جي مدام أنت بيغطي جميع
+
+43
+00:04:15,110 --> 00:04:20,210
+عناصر جي بار و لا واحد زي التاني يبقى بناء عندي
+
+44
+00:04:20,210 --> 00:04:26,050
+عدد عناصر جي يساوي عدد عناصر جي بار عدد الـ subgroup
+
+45
+00:04:26,050 --> 00:04:31,910
+في G يساوي عدد الـ subgroup في G bar عدد العناصر
+
+46
+00:04:31,910 --> 00:04:37,050
+التي لها نفس الـ order في G يساوي عدد العناصر التي
+
+47
+00:04:37,050 --> 00:04:42,690
+لها نفس الـ order من G bar بمعنى لو عندي 6 عناصر الـ
+
+48
+00:04:42,690 --> 00:04:49,410
+order يساوي 4 في G لازم اجد 6 عناصر الـ order يساوي 4
+
+49
+00:04:49,410 --> 00:04:54,770
+في G bar لو عندي 10 عناصر في G الـ order يساوي 2
+
+50
+00:04:54,770 --> 00:05:03,380
+لازم اجد 10 عناصر في G bar الـ order يساوي 2 لو كانت
+
+51
+00:05:03,380 --> 00:05:07,680
+الـ group Cyclic هذه التانية Cyclic لو كانت Abelian
+
+52
+00:05:07,680 --> 00:05:11,900
+التانية Abelian يعني بمعنى هيك بالبلدي الـ two
+
+53
+00:05:11,900 --> 00:05:16,460
+groups اللي اتنية اللي لهم نفس الخواص الرياضية
+
+54
+00:05:16,460 --> 00:05:21,950
+يعني كل ما تعرفه اللي عن الـ group ينطبق على الأولى
+
+55
+00:05:21,950 --> 00:05:25,830
+الريكولوجيا ينطبق على مين؟ على الثانية هذي non
+
+56
+00:05:25,830 --> 00:05:29,650
+-abelian إذا التانية non-abelian متنفعش واحدة
+
+57
+00:05:29,650 --> 00:05:33,450
+cyclic والتانية لأ واحدة abelian والتانية لأ واحدة
+
+58
+00:05:33,450 --> 00:05:38,090
+finite والتانية infinite برضه لأ لو فيها عدد عناصر
+
+59
+00:05:38,090 --> 00:05:41,970
+يساوي infinite بجهد فيها عدد عناصر يساوي infinite
+
+60
+00:05:41,970 --> 00:05:46,530
+وهكذا يبقى بناء عليه لما أقول في isomorphism ما بين
+
+61
+00:05:46,530 --> 00:05:50,470
+two groups يبقى الـ two groups اللي لهم جميع
+
+62
+00:05:50,470 --> 00:05:55,190
+الخواص الرياضية بالضبط تماما الخواص اللي في
+
+63
+00:05:55,190 --> 00:05:59,230
+الـ group الأولى تنطبق تماما على الـ group التاني وإن
+
+64
+00:05:59,230 --> 00:06:04,650
+كانت العناصر مختلفة ما بين الاتنين وكانت الـ binary
+
+65
+00:06:04,650 --> 00:06:07,810
+operation على الأولى تختلف عن الـ binary operation
+
+66
+00:06:07,810 --> 00:06:12,650
+عن مين؟ عن الـ group التاني وهكذا يبقى هذا اللي بدي ايه
+
+67
+00:06:12,650 --> 00:06:16,890
+المعنى اللي بدي اترسخه في دماغك عن معنى الـ
+
+68
+00:06:16,890 --> 00:06:22,690
+isomorphism أظن واضح كلامي نبدأ ناخد مجموعة من
+
+69
+00:06:22,690 --> 00:06:29,670
+الأمثلة على الـ isomorphism أول مثال بيقول define a
+
+70
+00:06:29,670 --> 00:06:40,890
+function define a function فاي من الـ R تحت عملية
+
+71
+00:06:40,890 --> 00:06:53,750
+الجامعة لـ R plus تحت عملية الضرب باي فاي
+
+72
+00:06:53,750 --> 00:07:00,310
+of X بده يساوي 2 to the power X لكل الـ X اللي
+
+73
+00:07:00,310 --> 00:07:18,440
+موجودة في R هنا show that phi is an isomorphism مرة
+
+74
+00:07:18,440 --> 00:07:24,940
+تانية أحنا قلنا في التعريف أربع شروط للايزمورفزية
+
+75
+00:07:24,940 --> 00:07:28,960
+function هذي الـ function one to one هذي الـ
+
+76
+00:07:28,960 --> 00:07:32,000
+function one to .. الـ function اللي عندنا تحقق
+
+77
+00:07:32,000 --> 00:07:37,540
+الخاصية هذه طبعا؟ طيب قال لي define a function
+
+78
+00:07:37,540 --> 00:07:41,900
+يبقى ريحني من مين؟ من الشرط اللي هو قال لي خدها الـ
+
+79
+00:07:41,900 --> 00:07:47,980
+function هذهمعرفة من R تحت عملية الجامعة إلى R
+
+80
+00:07:47,980 --> 00:07:53,100
+Plus تحت عملية الضرب يبقى هذه جميع الأعداد
+
+81
+00:07:53,100 --> 00:07:58,500
+الحقيقية بلا استثناء تحت عملية الجامعة هذه عملية
+
+82
+00:07:58,500 --> 00:08:04,520
+مجموعة الأعداد الحقيقية الموجبة فقط تحت عملية
+
+83
+00:08:04,520 --> 00:08:10,100
+الضرب قال يعرف الـ function Phi of X بدل يساوي 2X لكل
+
+84
+00:08:10,100 --> 00:08:16,160
+X الموجودة في R الآن بدي أسأل السؤال التالي هل الـ
+
+85
+00:08:16,160 --> 00:08:21,920
+function هذي فعلا هذي معرفة من R عليها عملية الجمع
+
+86
+00:08:21,920 --> 00:08:27,680
+إلى R plus تحت عملية الضرب أم لا باجي بقول الـ X
+
+87
+00:08:27,680 --> 00:08:33,230
+هذي موجود وين هنا إذا قد يكون موجب وقد يكون سالب و
+
+88
+00:08:33,230 --> 00:08:39,370
+قد يكون صفر تمام ما هي صوت صوت 2 to the power
+
+89
+00:08:39,370 --> 00:08:44,150
+X هل 2 to the power X موجودة في R plus يعني
+
+90
+00:08:44,150 --> 00:08:48,550
+2 to the power X لا بتاخد Zero ولا بتاخد قيمة
+
+91
+00:08:48,550 --> 00:08:55,030
+سالبة طبعا الـ exponential function دائما وأبدا
+
+92
+00:08:55,030 --> 00:09:01,410
+أقل من Zero عمرها ما بتكون أقل من Zero سواء كان U of
+
+93
+00:09:01,410 --> 00:09:06,290
+X والله A to the power X لو رجعت لرسمتها دائما
+
+94
+00:09:06,290 --> 00:09:10,950
+أعلى محور X يبقى أقل من Zero إذا كلامنا هذا
+
+95
+00:09:10,950 --> 00:09:15,790
+تعريفنا سليم مائة بالمائة يبقى ايش ضايل علينا؟ one
+
+96
+00:09:15,790 --> 00:09:20,260
+to one and one to one نرجع لمبادئ الرياضية لما
+
+97
+00:09:20,260 --> 00:09:24,980
+بنقول one to one بالبلدي العناصر المختلفة لها صور
+
+98
+00:09:24,980 --> 00:09:29,940
+مختلفة يعني لو أخدت x1 لا يساوي x2 بدي أثبت أن الـ
+
+99
+00:09:29,940 --> 00:09:34,720
+f of x1 لا يساوي الـ f of x2 أو الـ contrapositive
+
+100
+00:09:34,720 --> 00:09:40,040
+ايها لو كان الـ f of x1 بدي يساوي f of x2 بدي أثبت
+
+101
+00:09:40,040 --> 00:09:45,620
+أن الـ x1 يساوي x2 إن حدث ذلك يبقى الـ function one
+
+102
+00:09:45,620 --> 00:09:51,490
+to one يبقى بدي أثبت له الخطوة الأولى في is one to
+
+103
+00:09:51,490 --> 00:09:58,890
+one مشان هيك بداجي أقول له assume اللي هو main في of
+
+104
+00:09:58,890 --> 00:10:05,680
+x يساوي في of y إذا قررت أثبت له إن الـ X بدها
+
+105
+00:10:05,680 --> 00:10:10,740
+تساوي Y بيتم المطلوب طيب فاي أوف X هي كده يا شباب؟
+
+106
+00:10:10,740 --> 00:10:19,390
+2 أص X فاي أوف Y 2 أص Y لما يكون الطرفين
+
+107
+00:10:19,390 --> 00:10:25,070
+متساوين وتتساوى الأساسات يبقى الأساس متساوية واحد
+
+108
+00:10:25,070 --> 00:10:30,490
+تاني ما عجبوش كلامي قال خد لن للطرفين بنقول له ماشي
+
+109
+00:10:30,490 --> 00:10:37,570
+لو أخدنا لن للطرفين بيصير X في لن 2 يساوي Y في
+
+110
+00:10:37,570 --> 00:10:42,540
+لن 2 لو قسمنا الطرفين على الـ ln 2 هذا
+
+111
+00:10:42,540 --> 00:10:48,720
+بيعطينا مين؟ إنه الـ X يساوي الـ Y مدام الـ X يساوي الـ
+
+112
+00:10:48,720 --> 00:10:54,240
+Y يبقى Phi is one to one الآن بدنا نيجي نثبت إن
+
+113
+00:10:54,240 --> 00:11:02,810
+Phi is onto مش هنثبت إنه في is onto بضروحه آخد عنصر
+
+114
+00:11:02,810 --> 00:11:09,970
+في R plus وأثبت إنه له اصل في R إن حدث ذلك بصير
+
+115
+00:11:09,970 --> 00:11:16,190
+الـ Phi is onto يبقى بدي اجي اقول له لاتفترض أن الـ Y
+
+116
+00:11:16,190 --> 00:11:23,610
+موجودة في الـ R plus يبقى الـY هذي أكبر من الـ0 ولا
+
+117
+00:11:23,610 --> 00:11:31,690
+أقل من الـ0؟ يبقى هذا يعطيك أن الـY أكبر من الـ0
+
+118
+00:11:31,690 --> 00:11:38,890
+يعني الـY هذي موجبة مدام موجبة يبقى الـlog Y
+
+119
+00:11:38,890 --> 00:11:45,980
+للأساس 2 exist ولا does not exist؟ exist لأن
+
+120
+00:11:45,980 --> 00:11:50,920
+اللوغاريتم مش معرف إلا لقيمة موجبة لكن لو قلت له
+
+121
+00:11:50,920 --> 00:11:56,700
+Y هذه موجودة في R بصير كلامي هذا ماله مش صحيح لأنه
+
+122
+00:11:56,700 --> 00:12:00,460
+قد تكون exist وقد لا تكون exist لكن كونها موجبة
+
+123
+00:12:00,460 --> 00:12:07,980
+يبقى هذا exist مدام exist يبقى بدي أروح أسمي تسمية
+
+124
+00:12:07,980 --> 00:12:15,300
+لغة Y للأساس 2 بدي أسمي X مثلا لو رجعنا لـ
+
+125
+00:12:15,300 --> 00:12:20,720
+calculus P بدي اكتب الـ log بدلالة الـ ln يبقى هذا 
+
+126
+00:12:20,720 --> 00:12:29,140
+len y على len 2 بده يساوي ال x لو ضربنا ضرب تبادل
+
+127
+00:12:29,140 --> 00:12:38,330
+يبقى len y يساوي ال x في len 2 لو استخدمت خواص ال
+
+128
+00:12:38,330 --> 00:12:46,830
+len يبقى len y بده يساوي len اثنين أس x مظبوط
+
+129
+00:12:46,830 --> 00:12:54,010
+أيه؟ يبقى بناء عليه لو رفعت اثنين كأس للعدد أيه؟
+
+130
+00:12:54,010 --> 00:13:00,450
+بيصير y يساوي قداش اثنين أس x اثنين أس x مين
+
+131
+00:13:00,450 --> 00:13:07,680
+هي هذه حسب التعريف مش عبارة عن five of x إذا أي
+
+132
+00:13:07,680 --> 00:13:15,560
+element y موجود في الـ R بلس لإنّ أصل x موجود في
+
+133
+00:13:15,560 --> 00:13:20,180
+الـ R معناه هذا الكلام أنّ الـ R موجود في الـ R طيب
+
+134
+00:13:20,180 --> 00:13:23,740
+خلصنا ال condition الثاني بدنا نروح لل condition
+
+135
+00:13:23,740 --> 00:13:30,140
+الثاني يبقى باجي بقوله لو كان ال x و y موجودة في
+
+136
+00:13:30,140 --> 00:13:38,720
+الـ R then بدي أخد في of خلي بالك هنا بدي أخد x في y
+
+137
+00:13:38,720 --> 00:13:45,420
+والله x زائد y يبقى ال operation هنا ال operation
+
+138
+00:13:45,420 --> 00:13:49,040
+اللي موجودة في ال group الأولى ال operation اللي
+
+139
+00:13:49,040 --> 00:13:57,560
+عنده زائد يبقى بقوله في x زائد y وليست x في y لأنّ
+
+140
+00:13:57,560 --> 00:14:01,320
+ال operation ما بين ال a و ال b هي ال operation
+
+141
+00:14:01,320 --> 00:14:04,740
+اللي موجودة في جروب الأولى ال operation اللي موجودة
+
+142
+00:14:04,740 --> 00:14:11,460
+عنده هي الجامعة يبقى حسب التعريف هذا بدل يساوي اثنين
+
+143
+00:14:11,460 --> 00:14:21,020
+أس x زائد y أو اثنين أس x في اثنين أس y هذا الكلام
+
+144
+00:14:21,020 --> 00:14:26,120
+يساوي رياضياً كلام سليم 100% يبقى هنا اللي بينهم
+
+145
+00:14:26,120 --> 00:14:29,760
+صلة عملية ضرب وليست عملية جمع
+
+146
+00:14:38,750 --> 00:14:43,910
+يبقى تحقق ال condition main الثاني يبقى بناء عليه
+
+147
+00:14:43,910 --> 00:14:54,690
+φ is an isomorphism φ is an isomorphism أحد 
+
+148
+00:14:54,690 --> 00:15:03,350
+يلقي تساؤل هنا علي صوتك بس اه
+
+149
+00:15:04,080 --> 00:15:09,060
+لما قلنا لغة why الأساس اثنين exist ليش؟ لأنّ y
+
+150
+00:15:09,060 --> 00:15:16,420
+قيمة موجبة لو كانت صفر أو سالبة فاللغة غير معرفة
+
+151
+00:15:16,420 --> 00:15:22,220
+تمام؟ يبقى أنا عندي رقم موجب أخذ اللغة للأساس
+
+152
+00:15:22,220 --> 00:15:28,230
+اثنين ليش اثنين؟ أنا متعمد أخذ اثنين لأنّ لو كانت
+
+153
+00:15:28,230 --> 00:15:33,650
+المسألة five of x صارت ثلاثة of x سوف أقول له while
+
+154
+00:15:33,650 --> 00:15:37,270
+أساس ثلاثة لو كانت أربعة سوف أقول له أساس أربعة و
+
+155
+00:15:37,270 --> 00:15:44,070
+هكذا لكي نصل إلى اثنين of x خلاص واضحة ليش أخذنا
+
+156
+00:15:44,070 --> 00:15:50,430
+هذه يبقى exist لأنّ هذه greater than zero و روحت
+
+157
+00:15:50,430 --> 00:15:55,770
+قلت هذه كل عدد أيش ما تطلع سميتها x تمام عملت
+
+158
+00:15:55,770 --> 00:15:59,490
+الشغل الرياضي تبع ال calculus لغاية ما وصلت لمين
+
+159
+00:15:59,490 --> 00:16:05,730
+وصلت لل y يساوي 2 و 6 اللي هي φ of x نجي نأخذ
+
+160
+00:16:05,730 --> 00:16:10,430
+كمان مثال ثاني مثال اثنين
+
+161
+00:16:13,030 --> 00:16:20,950
+بقول let g be a cyclic group let g be a cyclic
+
+162
+00:16:20,950 --> 00:16:39,430
+group of order n of order n let g bar صارت z n of
+
+163
+00:16:42,960 --> 00:16:52,120
+أثبت لي أنّ الـ G isomorphic لمن؟ لـ ZN G
+
+164
+00:16:52,120 --> 00:17:06,000
+isomorphic ل ZN نرجع
+
+165
+00:17:06,000 --> 00:17:10,920
+لسؤالنا مرة ثانية بقول ياخذ الـG الـcyclic group
+
+166
+00:17:10,920 --> 00:17:16,800
+الـorder لها يساوي m مادام الـcyclic على الأقل
+
+167
+00:17:16,800 --> 00:17:23,380
+فيها كم generator؟ اثنين generator ومعكسه تمام؟
+
+168
+00:17:23,380 --> 00:17:28,720
+ما بناش المعكس احنا مكفين واحد بدي أفترض أنّ فيها
+
+169
+00:17:28,720 --> 00:17:36,820
+generator وليكن a يبقى باجي بقوله since الـG is
+
+170
+00:17:36,820 --> 00:17:45,160
+cyclic يبقى نحن لدينا أنّ الـ G هذه بدها تساوي ال
+
+171
+00:17:45,160 --> 00:17:51,560
+identity و ال a و ال a تربيع و نظل ماشيين لغاية
+
+172
+00:17:51,560 --> 00:17:58,490
+ال a m ناقص ال one مظبوط كما فهمت من الشطر قبل
+
+173
+00:17:58,490 --> 00:18:04,850
+السابق الـcyclic subgroups يبقى هذه كإنّها group
+
+174
+00:18:04,850 --> 00:18:09,770
+generated by a مكتوبة بالشكل اللي عندنا هنا هاي
+
+175
+00:18:09,770 --> 00:18:14,690
+الـcyclic group و ال order اللي هيساوي n ال element
+
+176
+00:18:14,690 --> 00:18:20,550
+الأخر يصير am ناقص واحد لأنّ an بدو يساوي ال
+
+177
+00:18:20,550 --> 00:18:28,430
+identity element قال لي خذ الجيبار تساوي ZN خليني
+
+178
+00:18:28,430 --> 00:18:32,890
+أسألكم السؤال التالي ZN ال operation اللي عليها
+
+179
+00:18:32,890 --> 00:18:37,750
+الجامع ولا ضرب حسب ما أخذناه في تعريف ال groups
+
+180
+00:18:37,750 --> 00:18:42,170
+جامع ممتاز أعطيني بقى حط لي المعلومة هذه في يدك في
+
+181
+00:18:42,170 --> 00:18:49,150
+دماغك لأنّ جامع موديولو n كل n بتبدأ الدورة من جديد
+
+182
+00:18:49,760 --> 00:18:54,400
+طب كويس قال لي أثبت لي أنّ اثنين هذول ايزو مورفكت
+
+183
+00:18:54,400 --> 00:18:59,380
+إذا أنا بدي أروح أعرف function من الجروب الأولى
+
+184
+00:18:59,380 --> 00:19:03,740
+إلى الجروب الثانية ونشوف هذه ال function هل هي one
+
+185
+00:19:03,740 --> 00:19:07,560
+to one و one to two بتخدم الخاصية اللي عندنا هذه
+
+186
+00:19:07,560 --> 00:19:10,460
+ولا لأ إذا بدي أروح أقوله define
+
+187
+00:19:13,750 --> 00:19:24,190
+function φ من g إلى z n باي عشان تبقى function
+
+188
+00:19:24,190 --> 00:19:29,090
+تتأثر على العنصر اللي في g من g a يبقى a
+
+189
+00:19:29,090 --> 00:19:36,530
+الشكل العنصر اللي هنا a ال power معينة يبقى a to
+
+190
+00:19:36,530 --> 00:19:43,510
+the power k مثلاً طبعاً k محصورة ما بين ال zero و ما
+
+191
+00:19:43,510 --> 00:19:48,370
+بين ال n ناقص ال one ما بين ال zero و ما
+
+192
+00:19:48,370 --> 00:19:52,890
+بين ال n ناقص ال one بدها تساوي مين؟ بدها تساوي
+
+193
+00:19:52,890 --> 00:20:01,030
+عنصر في z n بقدر أقول k itself و ال k هذا أكبر من
+
+194
+00:20:01,030 --> 00:20:06,030
+أو يساوي zero أقل من n بيصير الكلام هكذا صح ولا
+
+195
+00:20:06,030 --> 00:20:15,340
+غلط؟ صح 100% لأنّ k محصورة بين ال zero و ال n يبقى
+
+196
+00:20:15,340 --> 00:20:22,330
+واحد من هذول ak اللي عندنا هذه هي element من z n
+
+197
+00:20:22,330 --> 00:20:30,610
+لأنّ عناصر الـ z n 0,1,2,3 لغاية n ناقص الـ 1 مظبوط
+
+198
+00:20:30,610 --> 00:20:35,390
+يبقى هذا التعريف سليم مائة مائة ك function الآن
+
+199
+00:20:35,390 --> 00:20:41,840
+بدي أثبت أنّ هذه one to one يبقى بدي أثبت له أنّ φ
+
+200
+00:20:41,840 --> 00:20:47,960
+is one to one مشان هيك بدي أخذ صورتين متساويتين أو
+
+201
+00:20:47,960 --> 00:20:55,860
+صورتين متساويتين يبقى باجي بقوله assume φ of ak
+
+202
+00:20:55,860 --> 00:21:09,220
+تساوي φ of aj مثلاً عشان أثبت أنّ الـ ak بده يساوي
+
+203
+00:21:09,220 --> 00:21:14,940
+الـ aj كويس يبقى حسب ال definition φ of ak اللي
+
+204
+00:21:14,940 --> 00:21:22,300
+هي بقداش k φ of aj اللي هي بقداش j أو إن شئتم
+
+205
+00:21:22,300 --> 00:21:30,020
+فقولوا k ناقص ال j بده يساوي قداش zero أو إن شئتم
+
+206
+00:21:30,020 --> 00:21:36,380
+فقولوا a to the k ناقص ال j بده يساوي a to the
+
+207
+00:21:36,380 --> 00:21:46,460
+zero أو بمعنى آخر الـ ak في الـ a ناقص الـ j بده
+
+208
+00:21:46,460 --> 00:21:51,420
+يساوي ال identity لأنّ ال element مرفوع للـ o zero
+
+209
+00:21:51,420 --> 00:21:55,960
+دائماً و أبداً بده يساوي ال identity تبع ال group طب
+
+210
+00:21:55,960 --> 00:22:02,000
+لو ضربت الطرفين في aj بيصير عندي هنا قداش بيضل في
+
+211
+00:22:02,000 --> 00:22:08,100
+الطرف الشمالي أيه k بده يساوي aj أظن و هو
+
+212
+00:22:08,100 --> 00:22:12,820
+المطلوب يبقى أخذ صورتين متساويتين أثبت أنّ الأصل
+
+213
+00:22:12,820 --> 00:22:19,520
+متساوي يبقى φ is one to one يبقى بدي آجي أثبت أنّ
+
+214
+00:22:19,520 --> 00:22:21,080
+φ is onto
+
+215
+00:22:25,800 --> 00:22:33,620
+مشان هيك بيروح ياخذ element وين في z n يبقى هنا let
+
+216
+00:22:33,620 --> 00:22:41,960
+k موجود في z n then ال
+
+217
+00:22:41,960 --> 00:22:52,470
+k هذا أكبر من أو يساوي zero أقل من ال n هذا يعني أنّ
+
+218
+00:22:52,470 --> 00:23:01,170
+الـ a to the power of k موجود في g؟ سكت الناس طلع
+
+219
+00:23:01,170 --> 00:23:06,410
+لتعريف الـ d هذا يعني أنّ a to the power of k موجود
+
+220
+00:23:06,410 --> 00:23:11,690
+في g ولا لا؟ يعني الـ φ هتأثر عليه صحيح ولا لا؟
+
+221
+00:23:11,690 --> 00:23:20,730
+يبقى هذا معناه أنّ k صارت تساوي φ of ak يبقى ال
+
+222
+00:23:20,730 --> 00:23:27,190
+element k اللي أخذته في z n لقيت له أصل ak موجود
+
+223
+00:23:27,190 --> 00:23:34,270
+في g معناه هذا الكلام أنّ φ is on to الآن دلت
+
+224
+00:23:34,270 --> 00:23:42,790
+خاصية الأخيرة finally بدي φ of بدي أخذ two
+
+225
+00:23:42,790 --> 00:23:52,780
+elements ak في ag مثلاً يبقى هذا element من g و
+
+226
+00:23:52,780 --> 00:23:58,240
+هذا element ثاني من g تمام؟ يبقى هذا الكلام بدو
+
+227
+00:23:58,240 --> 00:24:10,770
+يساوي نظراً لإنّ هذا بدو يساوي φ ak زائد j صار هذا
+
+228
+00:24:10,770 --> 00:24:17,450
+كله element واحد حسب التعريف يبقى هذا الكلام تبع
+
+229
+00:24:17,450 --> 00:24:26,610
+ال φ بدو يساوي k زائد j هذا الكلام بدو يساوي ال k
+
+230
+00:24:26,610 --> 00:24:38,340
+هي φ of k و هذه z φ of aj حسب التعريف طبعاً ال
+
+231
+00:24:38,340 --> 00:24:42,880
+operation بينهم هي عملية جامعة لأنّ z n ال
+
+232
+00:24:42,880 --> 00:24:48,140
+operation اللي عليها جامعة يبقى تحققت الخاصية مع
+
+233
+00:24:48,140 --> 00:24:55,440
+أنّ هذا الكلام φ is an isomorphism يبقى دص وهكذا
+
+234
+00:24:55,440 --> 00:25:00,380
+φ is an isomorphism
+
+235
+00:25:25,380 --> 00:25:37,020
+خذ لي ال exercise هذا يك علك تمرن يدك فيه if g is
+
+236
+00:25:37,020 --> 00:25:46,220
+infinite .. infinite cyclic
+
+237
+00:25:46,220 --> 00:25:56,510
+group .. cyclic group then الـ g isomorphic
+
+238
+00:25:56,510 --> 00:26:03,010
+إلى z سأعطيك
+
+239
+00:26:03,010 --> 00:26:06,990
+الـ function و أنت تثبت one to one و تحقق الخاصية
+
+240
+00:26:06,990 --> 00:26:17,530
+يبقى بدك تأخذ لي φ من z إلى g جلبت الوضع اني فوق
+
+241
+00:26:17,530 --> 00:26:22,750
+أخذتها من g ل z n هنا بدي أخليها من z إلى g
+
+242
+00:26:22,750 --> 00:26:30,350
+define by
+
+243
+00:26:30,350 --> 00:26:38,890
+φ of k بدي يساوي a to the power k
+
+244
+00:26:41,890 --> 00:26:46,750
+أثبت لي أنّ هذه one to one و one to خاصية ال
+
+245
+00:26:46,750 --> 00:26:58,190
+isomorphism نأخذ المثال رقم ثلاثة أيش
+
+246
+00:26:58,190 --> 00:27:05,090
+رأيك فيه ستة؟ مين عناصرها؟
+
+247
+00:27:05,090 --> 00:27:12,900
+واحد اثنين ثلاثة أربعة خمسة في غيرهم؟ السؤال هو هل
+
+248
+00:27:12,900 --> 00:27:21,780
+هذه group Cyclic؟ كيف
+
+249
+00:27:21,780 --> 00:27:27,360
+لا؟ خمسة و صفر و واحد خمسة و واحد و خمسة خمسة
+
+250
+00:27:27,360 --> 00:27:33,420
+تربيع خمسة وعشرين شيل منهم أربعة ستات بيظل ال 
+
+251
+00:27:33,420 --> 00:27:37,940
+identity يبقى الخمسة generator مظبوط يبقى هذه is 
+
+252
+00:27:37,940 --> 00:27:44,380
+cyclic group شوف ليه بالله هذه isomorphic لـ Z5 ولا
+
+253
+00:27:44,380 --> 00:27:52,800
+لأ الأولى كام عنصر فيها والتانية والأولى is cyclic
+
+254
+00:27:52,800 --> 00:27:58,850
+والتانية Z<sub>n</sub> Cyclic اصلا انهم عليها عملية الجمع اذا
+
+255
+00:27:58,850 --> 00:28:01,990
+Z<sub>2</sub> Cyclic Z<sub>3</sub> Cyclic Z<sub>4</sub> Cyclic
+
+256
+00:28:01,990 --> 00:28:06,730
+طيب واني الـ Cyclic group is Abelian يبقى هذي
+
+257
+00:28:06,730 --> 00:28:12,590
+Abelian هذي Abelian الـ order للخمسة يساوي اثنين
+
+258
+00:28:12,590 --> 00:28:17,350
+والـ order للواحد كذلك يساوي اثنين لأن هذا ما فيش
+
+259
+00:28:17,350 --> 00:28:27,990
+فيها إلا العنصر 0 و 1 مظبوط هيك؟ طيب شوف ليه كمان and
+
+260
+00:28:27,990 --> 00:28:35,930
+لو أخدتيه U<sub>10</sub> شوف هالي اللي هي عبارة عن واحد،
+
+261
+00:28:35,930 --> 00:28:46,590
+ثلاثة، سبعة، تسعة شوف هالي isomorphic لـ Z<sub>4</sub> أم
+
+262
+00:28:46,590 --> 00:28:47,310
+لا؟
+
+263
+00:28:50,240 --> 00:28:58,120
+الـ U<sub>10</sub> ايزو مورفك لـ Z<sub>4</sub> ولا لأ ها هذي Cyclic ولا
+
+264
+00:28:58,120 --> 00:29:02,620
+لأ طيب تعال نشوف هذي Cyclic ولا لأ نشوف فيها
+
+265
+00:29:02,620 --> 00:29:07,970
+Generator ولا لأ ثلاثة أس واحد بثلاثة ثلاثة أس اثنين بواحد
+
+266
+00:29:07,970 --> 00:29:13,910
+بثلاثة ثلاثة أس ثلاثة بتسعة ثلاثة أس أربعة بسبعة وعشرين
+
+267
+00:29:13,910 --> 00:29:18,950
+بشيل عشرين بيظل سبعة ثلاثة أس أربعة بواحد و ثمانين
+
+268
+00:29:18,950 --> 00:29:23,250
+ثمان عشرات بواحد يبقى الـ Cyclic والثلاثة 
+
+269
+00:29:23,250 --> 00:29:28,550
+generator أحدكم يقدر يجيب الجنريتر الثاني هو السبعة
+
+270
+00:29:28,550 --> 00:29:32,730
+لكن تسعة ما هو Generator لأن تسعة أس واحد بتسعة و
+
+271
+00:29:32,730 --> 00:29:37,230
+ثمانين تسعة تربيع بالـ identity لكن ثلاثة أس أربعة
+
+272
+00:29:37,230 --> 00:29:40,970
+هو اللي بالـ identity يبقى هذي الـ Cyclic يبقى هذي
+
+273
+00:29:40,970 --> 00:29:49,370
+isomorphic كمان لـ Z<sub>4</sub> طيب السؤال هو but هل
+
+274
+00:29:49,370 --> 00:29:57,440
+اليوم ماشي اللي هو U<sub>12</sub> واحد و خمسة و سبعة و
+
+275
+00:29:57,440 --> 00:30:08,200
+أحد عشر هل هذه isomorphic لـ Z<sub>4</sub>؟
+
+276
+00:30:08,200 --> 00:30:15,780
+هل هذه Cyclic ولا لا؟ هل هذه Cyclic؟
+
+277
+00:30:17,220 --> 00:30:22,900
+خمسة وعشرين كده؟ خمسة في خمسة بخمسة وعشرين شيلهم
+
+278
+00:30:22,900 --> 00:30:25,780
+اثنا عشر يصير الـ identity يبقى خمسة تربيع بالـ
+
+279
+00:30:25,780 --> 00:30:30,400
+identity سبعة تربيع بالـ identity تسعة وأربعين
+
+280
+00:30:30,400 --> 00:30:33,980
+ثمانية وأربعين ومضال واحد أحد عشر في أحد عشر مية
+
+281
+00:30:33,980 --> 00:30:37,060
+واحد وعشرين على اثنا عشر مضال واحد يبقى مش فيها ولا
+
+282
+00:30:37,060 --> 00:30:44,770
+generator يبقى هذه is not isomorphic because السبب
+
+283
+00:30:44,770 --> 00:30:59,850
+أن Z<sub>4</sub> is cyclic but و لكن U<sub>12</sub> is not cyclic
+
+284
+00:30:59,850 --> 00:31:04,850
+طيب U<sub>18</sub>
+
+285
+00:31:07,130 --> 00:31:12,030
+Isomorphic لـ Z<sub>6</sub> نقول
+
+286
+00:31:12,030 --> 00:31:18,800
+لك مين اليو 18 يكون ثمانية عشر اللي هي تساوي العناصر
+
+287
+00:31:18,800 --> 00:31:26,300
+واحد، اثنين، ثلاثة، أربعة، خمسة، ستة، سبعة،
+
+288
+00:31:26,300 --> 00:31:32,420
+ثمانية، تسعة، عشرة، أحد عشر، اثنا عشر، ثلاثة عشر،
+
+289
+00:31:32,420 --> 00:31:39,200
+أربعة عشر، خمسة عشر، ستة عشر، سبعة عشر كم عنصر هذول؟ ستة
+
+290
+00:31:39,200 --> 00:31:48,900
+هل هذه isomorphic لـ Z<sub>6</sub> ولا لا؟
+
+291
+00:31:48,900 --> 00:31:53,960
+طيب
+
+292
+00:31:53,960 --> 00:31:59,960
+يلا افحص براحتك في الدار isomorphic لـ Z<sub>6</sub> ليش؟
+
+293
+00:31:59,960 --> 00:32:05,230
+أن هذه Cyclic وهذه كمان Cyclic يبقى قد ايه بدناش
+
+294
+00:32:05,230 --> 00:32:08,810
+اثنين Generator بيكفي واحد جيبلي واحد منهم
+
+295
+00:32:08,810 --> 00:32:17,570
+Generator بتجيب يولد كل العناصر ايه؟ مثال
+
+296
+00:32:17,570 --> 00:32:23,850
+اثنين هذا؟ any operation قلت Cyclic ايش ما كانت
+
+297
+00:32:23,850 --> 00:32:29,530
+تكون لم أحدد قلت تجرب و Cyclic تمام؟ وبالتالي أي
+
+298
+00:32:29,530 --> 00:32:30,570
+عملية؟
+
+299
+00:32:33,770 --> 00:32:39,290
+علي صوتك شوية لا
+
+300
+00:32:39,290 --> 00:32:45,850
+أنت أنت لما Z<sub>5</sub> فيها كام عنصر؟ خمس عناصر Z<sub> </sub>
+
+301
+00:32:45,850 --> 00:32:51,110
+<sub>6</sub> فيها ست عناصر وهكذا كيف واحدة فيها ست عناصر و
+
+302
+00:32:51,110 --> 00:32:55,730
+واحدة خمس عناصر فيها ايزو مورف فيهم؟ أبسط الأشياء
+
+303
+00:32:55,730 --> 00:32:59,470
+قلت لك أول ما بديت عدد العناصر في الجروب الأولى جد
+
+304
+00:32:59,470 --> 00:33:02,890
+عدد العناصر في الجروب الثاني اختلفوا العناصر ما فيش
+
+305
+00:33:02,890 --> 00:33:07,790
+isomorphism وأنت مغمق بدون نقاش تمام؟ إذا عدد
+
+306
+00:33:07,790 --> 00:33:10,730
+العناصر في الجروب الأولى يختلف عن عدد العناصر في
+
+307
+00:33:10,730 --> 00:33:13,950
+الجروب الثاني there is no isomorphism between two
+
+308
+00:33:13,950 --> 00:33:20,030
+groups ما فيش بالمرة حد بدي أسأل ثاني طيب نجيب لك
+
+309
+00:33:20,030 --> 00:33:27,770
+مثال من نوعين جديد مثال أربعة مثال
+
+310
+00:33:27,770 --> 00:33:33,670
+أربعة بيقول let الـ G هي الـ special linear group of
+
+311
+00:33:33,670 --> 00:33:39,490
+two by two matrices over R وهي كل المصوفات اللي على
+
+312
+00:33:39,490 --> 00:33:49,710
+الشكل A, B, C, D بحيث أن الـ A, D ناقص الـ B, C بدها تساوي
+
+313
+00:33:49,710 --> 00:34:02,810
+الواحد الصحيح let الـ M be any two by two matrix
+
+314
+00:34:02,810 --> 00:34:06,050
+matrix
+
+315
+00:34:06,050 --> 00:34:17,030
+with a determinant لـ M لا يساوي Zero define
+
+316
+00:34:20,640 --> 00:34:31,460
+A mapping Define A mapping Phi M
+
+317
+00:34:31,460 --> 00:34:49,180
+من G إلى G by Phi M of A يساوي M A M<sup>-1</sup> لكل
+
+318
+00:34:49,970 --> 00:35:00,990
+الـ A اللي موجودة في G show that الـ
+
+319
+00:35:00,990 --> 00:35:05,890
+Phi M is an isomorphism
+
+320
+00:35:43,290 --> 00:35:48,490
+نرجع مرة ثانية أخذ لجروب جيله الـ special linear
+
+321
+00:35:48,490 --> 00:35:52,890
+group of two by two matrices over R وهي كل
+
+322
+00:35:52,890 --> 00:35:56,670
+المصفوفات لنظامها اثنين في اثنين بعيادة المحدد
+
+323
+00:35:56,670 --> 00:36:01,590
+تبعها بدها تساوي واحد صحيح قال افترض انه عندي
+
+324
+00:36:01,590 --> 00:36:05,490
+مصفوفة من نظامها اثنين في اثنين ومحددها لا يساوي
+
+325
+00:36:05,490 --> 00:36:10,520
+zero لم أقول واحد صحيح الـ M ليس بالضرورة محددها
+
+326
+00:36:10,520 --> 00:36:15,880
+يساوي واحد صحيح قلت M محدد تبعها ليه يساوي Zero عرفت
+
+327
+00:36:15,880 --> 00:36:21,620
+Function Phi M من G إلى G by Phi M of A يساوي M A M
+
+328
+00:36:21,620 --> 00:36:26,180
+<sup>-1</sup> لكل الـ A اللي موجودة في G بيقول أن Phi M
+
+329
+00:36:26,180 --> 00:36:31,220
+is an isomorphism النقطة الأولى بتتأكد هل الـ
+
+330
+00:36:31,220 --> 00:36:36,220
+function اللي عرفتها تعريفي صحيح ولا لأ بمعنى آخر
+
+331
+00:36:36,220 --> 00:36:44,240
+والله إذا طلع محدد المصوفة هذه بواحد صحيح معناته
+
+332
+00:36:44,240 --> 00:36:49,580
+المصفوفة هذه موجودة في G فعلا يبقى تعريفي هذا من G
+
+333
+00:36:49,580 --> 00:36:55,120
+لـ G بيصير كلام سليم ليش؟ لأن ايه اللي عندي هذه أنا
+
+334
+00:36:55,120 --> 00:36:59,960
+ماخدها من G يعني المحدد تبعها بقد ايه بواحد صحيح نحن
+
+335
+00:36:59,960 --> 00:37:05,150
+متأكدين منه لكن الـ M بعرفش أنا تمام؟ إذا بدي أثبت
+
+336
+00:37:05,150 --> 00:37:09,510
+أول شيء أن الـ Phi is well defined يعني معرفة
+
+337
+00:37:09,510 --> 00:37:16,530
+تعريفا صحيحا فبناجي بقوله هنا الـ Phi is well
+
+338
+00:37:16,530 --> 00:37:23,130
+defined well defined يعني معرفة تعريفا صحيحا
+
+339
+00:37:25,810 --> 00:37:30,210
+بمعنى آخر بدي أثبت أن هذا element موجود في الـ G
+
+340
+00:37:30,210 --> 00:37:39,290
+لذلك بدي أخذ الـ determinant لـ M A M<sup>-1</sup> بدي
+
+341
+00:37:39,290 --> 00:37:44,450
+أرجع لمين؟ للـ linear algebra يبقى هذا معناته الـ
+
+342
+00:37:44,450 --> 00:37:50,810
+determinant لـ M في الـ determinant لـ A في الـ
+
+343
+00:37:50,810 --> 00:37:57,450
+determinant لـ M<sup>-1</sup> الآن الـ determinant يعني
+
+344
+00:37:57,450 --> 00:38:02,010
+قيمة حقيقية يعني ثلاث قيم حقيقية مضروبة في بعضها
+
+345
+00:38:02,010 --> 00:38:07,250
+والقيم الحقيقية commutative يبقى هذا الكلام بدها
+
+346
+00:38:07,250 --> 00:38:14,820
+يساوي الـ determinant لـ M في الـ determinant لـ M
+
+347
+00:38:14,820 --> 00:38:20,660
+<sup>-1</sup> في الـ determinant لـ A أو بقدر أقول الـ
+
+348
+00:38:20,660 --> 00:38:25,720
+determinant لـ M في الـ M<sup>-1</sup> في الـ determinant
+
+349
+00:38:25,720 --> 00:38:33,080
+لـ A هذا الكلام يساوي المصوفة في معكوسة المعكوسة
+
+350
+00:38:33,080 --> 00:38:39,400
+موجودة هنا ولا لا؟ موجودة لأن أنا جايل أن المحدد
+
+351
+00:38:39,400 --> 00:38:45,160
+لا يساوي zero إذا المصوفة في معكوسها بتعطيني مصوفة
+
+352
+00:38:45,660 --> 00:38:52,240
+الوحدة يبقى هذا الـ determinant لمصفوفة الوحدة في الـ
+
+353
+00:38:52,240 --> 00:38:57,500
+determinant لـ a الآن الـ determinant لمصفوفة الوحدة
+
+354
+00:38:57,500 --> 00:39:04,780
+بقد ايه بواحد الـ determinant لـ a, a موجودة في g, g
+
+355
+00:39:04,780 --> 00:39:10,430
+هي المحدد تبعها بقد ايه بواحد يبقى في واحد الجواب
+
+356
+00:39:10,430 --> 00:39:20,150
+يساوي قد ايه واحد يبقى هنا الساعة الـ M A M<sup>-1</sup>
+
+357
+00:39:20,150 --> 00:39:25,190
+belongs to g يبقى تعريفي هذا معله تعريفا صحيحا
+
+358
+00:39:25,190 --> 00:39:32,190
+الآن بدي أثبت أن فاي is one to one حاجة أقوله as
+
+359
+00:39:32,190 --> 00:39:42,600
+you فاي M طبعا هنا assume أن فاي M of A فاي M of A
+
+360
+00:39:42,600 --> 00:39:50,900
+بدها تساوي فاي M of B طبعا
+
+361
+00:39:50,900 --> 00:39:57,100
+A و B مصفوفات في g يبقى هذول بيبقى يساووا بعض ثم
+
+362
+00:39:57,100 --> 00:40:08,960
+فاي M of A M A M<sup>-1</sup> M B M<sup>-1</sup> طيب بالـ right
+
+363
+00:40:08,960 --> 00:40:13,200
+cancellation لو والـ left cancellation لو هذا
+
+364
+00:40:13,200 --> 00:40:20,490
+بيعطينا أن A تساوي B لذلك فاي is one to one يبقى
+
+365
+00:40:20,490 --> 00:40:28,550
+بداجي اخذ الان يبقى
+
+366
+00:40:28,550 --> 00:40:35,670
+بداجي اخذ الان يبقى بداجي
+
+367
+00:40:35,670 --> 00:40:38,630
+اخذ الان يبقى بداجي اخذ الان يبقى بداجي اخذ الان
+
+368
+00:40:38,630 --> 00:40:38,690
+يبقى بداجي اخذ الان يبقى بداجي اخذ الان يبقى بداجي
+
+369
+00:40:38,690 --> 00:40:38,870
+اخذ الان يبقى بداجي اخذ الان يبقى بداجي اخذ الان
+
+370
+00:40:38,870 --> 00:40:42,130
+يبقى بداجي اخذ الان يبقى بداجي اخذ الان يبقى بداجي
+
+371
+00:40:42,130 --> 00:40:49,210
+اخذ الان يبقى
+
+372
+00:40:49,210 --> 00:40:49,810
+بداجي ا
+
+373
+00:40:54,890 --> 00:41:02,870
+الـ B هذه بقدر اكتبها على الشكل التالي M M<sup>-1</sup>
+
+374
+00:41:02,870 --> 00:41:14,550
+B M M<sup>-1</sup> بنفع ولا ما بنفعش هذه مين الـ identity
+
+375
+00:41:14,550 --> 00:41:20,680
+وهذه مين خلص يبقى بالضبط المصوفة هذه بـ B كما هي 
+
+376
+00:41:20,680 --> 00:41:27,760
+هذه بقدر أكتبها على الشكل التالي M في M inverse
+
+377
+00:41:27,760 --> 00:41:35,620
+بيه M و هنا M inverse من خاصية ال associativity
+
+378
+00:41:35,620 --> 00:41:41,480
+يبقى فاصلتي التلاتة هدول لحالي إيش رأيك هدول بدي 
+
+379
+00:41:41,480 --> 00:41:51,860
+اسمهم تسمية جديدة M ام انفرس هذه كل التلاتة حصل ضرب
+
+380
+00:41:51,860 --> 00:41:58,320
+سميته إيه يبقى بناء عليه هذا الكلام بـدر ساوي من
+
+381
+00:41:58,320 --> 00:42:06,700
+بـدر ساوي في ام او إيه يبقى المصوفة بيه اللي خدتها
+
+382
+00:42:06,700 --> 00:42:12,780
+لأجيتلها أصل إيه يبقى بناء عليه الـfi m is onto
+
+383
+00:42:13,410 --> 00:42:17,490
+يبقى المصحوفة B اللي أخدتها عشوائيا في ال special
+
+384
+00:42:17,490 --> 00:42:22,130
+linear group of two by two matrices over R لجت لها
+
+385
+00:42:22,130 --> 00:42:29,570
+أصل اللي هو A موجودة من مين هي A والـ A اللي هي M
+
+386
+00:42:29,570 --> 00:42:38,050
+inverse ب M طب خليني أسأل السؤال التالي هل عملية
+
+387
+00:42:38,050 --> 00:42:40,430
+الضرب هذه ممكن أتم
+
+388
+00:42:44,800 --> 00:42:49,700
+بالتم ولا بالتم مش؟ بالتم لأن كله نظام اتنين في
+
+389
+00:42:49,700 --> 00:42:56,080
+اتنين أنا فرضت أن من البداية ال M اتنين باتنين
+
+390
+00:42:56,080 --> 00:43:00,380
+matrix و determinant لا يساوي صفر إذا كل واحدة
+
+391
+00:43:00,380 --> 00:43:04,370
+فيهم نظام اتنين في اتنين ولو اختلف النظام يمكن ما
+
+392
+00:43:04,370 --> 00:43:07,870
+نقدرش نضرب يمكن نقدر ويمكن ما نقدرش لكن هاد
+
+393
+00:43:07,870 --> 00:43:12,970
+اتنينات كله إذا عملية الضرب possible وبالتالي no
+
+394
+00:43:12,970 --> 00:43:17,110
+problem يمكن بكلامنا وشغلنا مية مية بقيت عندنا
+
+395
+00:43:17,110 --> 00:43:23,850
+النقطة الأخيرة finally النقطة الأخيرة بدي آخد five
+
+396
+00:43:23,850 --> 00:43:26,970
+m of a b
+
+397
+00:43:29,580 --> 00:43:35,740
+عاملية ضرب المصفوفة يبقى هذا يا شباب بدأ تساوي M A
+
+398
+00:43:35,740 --> 00:43:42,780
+B M inverse هذه
+
+399
+00:43:42,780 --> 00:43:50,080
+K بدأ تيجي في of A في في of V مش جاية هذه ولا لا
+
+400
+00:43:50,080 --> 00:43:57,460
+لكن لو دخلت مصوفة الوحدة في الموضوع ما فيش مشكلة أن
+
+401
+00:43:57,460 --> 00:44:00,860
+مصوفة الوحدة ضربها في المصوفة بتعطينا نفس المصوفة
+
+402
+00:44:00,860 --> 00:44:11,180
+لكن هذا بقدر أكتبه M A و بدي أدخل M inverse M وهذه
+
+403
+00:44:11,180 --> 00:44:18,290
+ال B وهذه ال B اللي عندنا وهذه ال M inverse هذه
+
+404
+00:44:18,290 --> 00:44:29,890
+عبارة عن مصفوفة الواحدة يبقى مصففتين مصففتين
+
+405
+00:44:29,890 --> 00:44:30,810
+مصففين مصففين مصففين مصففين مصففين مصففين مصففين
+
+406
+00:44:30,810 --> 00:44:31,390
+مصففين مصففين مصففين مصففين مصففين مصففين مصففين
+
+407
+00:44:31,390 --> 00:44:32,510
+مصففين مصففين مصففين مصففين مصففين مصففين مصففين
+
+408
+00:44:32,510 --> 00:44:36,350
+مصففين مصففين مصففين مصففين مصففين مصففين مصففين
+
+409
+00:44:36,350 --> 00:44:36,470
+مصففين مصففين مصففين مصففين مصففين مصففين مصففين
+
+410
+00:44:36,470 --> 00:44:43,510
+مصففين مصففين مصففين مصففين يبقى تحققت الخاصية يبقى
+
+411
+00:44:43,510 --> 00:44:57,970
+بقدر أقوله thus و هكذا فاي ام is an isomorphism طب
+
+412
+00:44:57,970 --> 00:45:09,130
+example خمسة في شيء؟ لأ بس مش هنشتغل سؤال هل ال S
+
+413
+00:45:10,480 --> 00:45:18,680
+تلاتة هكم عنصر فيها؟ ستة، مظبوط؟ three factorial
+
+414
+00:45:18,680 --> 00:45:23,440
+تلاتة في اتنين في واحد يبقى ست عناصر هل هذه
+
+415
+00:45:23,440 --> 00:45:30,120
+isomorphic ل Z6؟
+
+416
+00:45:31,610 --> 00:45:38,490
+أيوة ممتازة زد ستة كوميوتاتيف أبدأ ليه لك ال S3 is
+
+417
+00:45:38,490 --> 00:45:44,830
+not هادي cyclic هادي not cyclic وهكذا يبقى هادي is
+
+418
+00:45:44,830 --> 00:45:52,020
+not isomorphic to z6 because جيب ليه ولو سبب واحد
+
+419
+00:45:52,020 --> 00:45:56,100
+بديش أسباب كتيرة رغم أن هذه فيها ست عناصر وهذه
+
+420
+00:45:56,100 --> 00:46:06,480
+فيها ست عناصر يبقى because ال S3 is not cyclic but
+
+421
+00:46:06,480 --> 00:46:15,340
+ولكن Z6 اللي هو subgroup of Y1 is cyclic
+
+422
+00:46:19,060 --> 00:46:21,000
+بنكمل إن شاء الله بعد الظهر
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/eMvQIylQxkk_raw.json b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/eMvQIylQxkk_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..51e5f19aaa86ede63defaca5e2e6bdcbbd265d93
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/eMvQIylQxkk_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 3210, "start": 21.5, "end": 32.1, "text": "السلام عليكم بسم الله الرحمن الرحيم اليوم ان شاء الله هننهي المناقشة chapter رابع هنبدأ زي ما اتوقفنا المرة الماضية السؤال سبعة و تلاتين حاليناه هنبدأ من السؤال تمانية و تلاتين", "tokens": [6027, 3794, 37440, 25894, 24793, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 45595, 20498, 16472, 13412, 16606, 21984, 8032, 1863, 1863, 3224, 1829, 9673, 8315, 4587, 8592, 3660, 7187, 12602, 16758, 3615, 8032, 1863, 44510, 10721, 30767, 1829, 19446, 1975, 2655, 30543, 5172, 8315, 9673, 25720, 9673, 46958, 10632, 21136, 33604, 6027, 8608, 3555, 27884, 4032, 6055, 1211, 9307, 9957, 11331, 6027, 1829, 8315, 3224, 8032, 1863, 44510, 10721, 9154, 21136, 33604, 6027, 46811, 7649, 10632, 4032, 6055, 1211, 9307, 9957], "avg_logprob": -0.11439731912243933, "compression_ratio": 1.8529411764705883, "no_speech_prob": 6.9141387939453125e-06, "words": [{"start": 21.5, "end": 21.86, "word": "السلام", "probability": 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26.04, "word": " رابع", "probability": 0.80078125}, {"start": 26.04, "end": 26.98, "word": " هنبدأ", "probability": 0.917236328125}, {"start": 26.98, "end": 27.18, "word": " زي", "probability": 0.926513671875}, {"start": 27.18, "end": 27.26, "word": " ما", "probability": 0.96728515625}, {"start": 27.26, "end": 27.7, "word": " اتوقفنا", "probability": 0.95009765625}, {"start": 27.7, "end": 27.94, "word": " المرة", "probability": 0.879150390625}, {"start": 27.94, "end": 28.3, "word": " الماضية", "probability": 0.98388671875}, {"start": 28.3, "end": 28.56, "word": " السؤال", "probability": 0.8810221354166666}, {"start": 28.56, "end": 28.82, "word": " سبعة", "probability": 0.7962239583333334}, {"start": 28.82, "end": 28.9, "word": " و", "probability": 0.619140625}, {"start": 28.9, "end": 29.14, "word": " تلاتين", "probability": 0.9720458984375}, {"start": 29.14, "end": 29.86, "word": " حاليناه", "probability": 0.8654296875}, {"start": 29.86, "end": 30.4, "word": " هنبدأ", "probability": 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سؤال", "probability": 0.9267578125}, {"start": 33.09, "end": 33.69, "word": " 38", "probability": 0.80224609375}, {"start": 33.69, "end": 35.29, "word": " ماعطيك", "probability": 0.743115234375}, {"start": 35.29, "end": 35.57, "word": " أربع", "probability": 0.7823079427083334}, {"start": 35.57, "end": 36.15, "word": " عناصر", "probability": 0.9466145833333334}, {"start": 36.15, "end": 36.63, "word": " في", "probability": 0.8515625}, {"start": 36.63, "end": 37.19, "word": " مجموعة", "probability": 0.95029296875}, {"start": 37.19, "end": 38.17, "word": " بقولك", "probability": 0.7998046875}, {"start": 38.17, "end": 39.01, "word": " أثبت", "probability": 0.9248046875}, {"start": 39.01, "end": 39.15, "word": " إن", "probability": 0.431640625}, {"start": 39.15, "end": 39.35, "word": " هذي", "probability": 0.4393717447916667}, {"start": 39.35, "end": 39.69, "word": " بتعمل", "probability": 0.9568684895833334}, {"start": 39.69, "end": 40.21, "word": " group", "probability": 0.3759765625}, 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انا", "probability": 0.6353759765625}, {"start": 1885.58, "end": 1885.86, "word": " a", "probability": 0.399169921875}, {"start": 1885.86, "end": 1886.18, "word": " b", "probability": 0.39892578125}, {"start": 1886.18, "end": 1886.76, "word": " بتسوى", "probability": 0.4056396484375}, {"start": 1886.76, "end": 1887.18, "word": " بي", "probability": 0.721435546875}, {"start": 1887.18, "end": 1887.42, "word": " a", "probability": 0.42041015625}, {"start": 1887.42, "end": 1887.96, "word": " inverse", "probability": 0.87060546875}, {"start": 1887.96, "end": 1888.54, "word": " بتسوى", "probability": 0.9425048828125}, {"start": 1888.54, "end": 1888.78, "word": " بي", "probability": 0.882080078125}, {"start": 1888.78, "end": 1889.08, "word": " ايه", "probability": 0.76806640625}, {"start": 1889.08, "end": 1889.9, "word": " يعني", "probability": 0.775146484375}, {"start": 1889.9, "end": 1890.2, "word": " a", "probability": 0.91943359375}, {"start": 1890.2, "end": 1890.46, "word": " b", 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0.990234375}, {"start": 1897.92, "end": 1898.52, "word": " انها", "probability": 0.919921875}, {"start": 1898.52, "end": 1898.7, "word": " non", "probability": 0.97119140625}, {"start": 1898.7, "end": 1899.2, "word": " abelian", "probability": 0.9664713541666666}, {"start": 1899.2, "end": 1900.3, "word": " طيب", "probability": 0.96923828125}, {"start": 1900.3, "end": 1900.56, "word": " بدأ", "probability": 0.343505859375}, {"start": 1900.56, "end": 1900.74, "word": " أروح", "probability": 0.82421875}, {"start": 1900.74, "end": 1901.16, "word": " معناته", "probability": 0.9744466145833334}, {"start": 1901.16, "end": 1901.84, "word": " أغير", "probability": 0.8849283854166666}, {"start": 1901.84, "end": 1902.78, "word": " الفرض", "probability": 0.93212890625}, {"start": 1902.78, "end": 1903.28, "word": " تبعي", "probability": 0.9267578125}, {"start": 1903.28, "end": 1903.68, "word": " علشان", "probability": 0.94189453125}, {"start": 1903.68, "end": 1904.06, "word": " يعطيني", 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0.904296875}], "temperature": 1.0}, {"id": 68, "seek": 194026, "start": 1913.24, "end": 1940.26, "text": "AB لا يساوي BA عشان هذه تصير تناقض مين؟ هذه وبالتالي صارت تناقض so ABA is another element with order 2 in J so we have", "tokens": [13868, 20193, 7251, 3794, 995, 45865, 21050, 6225, 8592, 7649, 29538, 6055, 9381, 13546, 6055, 8315, 4587, 11242, 3714, 9957, 22807, 29538, 46599, 6027, 2655, 6027, 1829, 20328, 9640, 2655, 6055, 8315, 4587, 11242, 370, 316, 9295, 307, 1071, 4478, 365, 1668, 568, 294, 508, 370, 321, 362], "avg_logprob": -0.2881058576155682, "compression_ratio": 1.1870503597122302, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1913.24, "end": 1913.76, "word": "AB", "probability": 0.10272216796875}, {"start": 1913.76, "end": 1915.06, "word": " لا", "probability": 0.66748046875}, {"start": 1915.06, "end": 1915.76, "word": " يساوي", "probability": 0.9197998046875}, {"start": 1915.76, "end": 1916.18, "word": " BA", "probability": 0.5126953125}, {"start": 1916.18, "end": 1917.04, "word": " عشان", "probability": 0.89892578125}, {"start": 1917.04, "end": 1917.28, "word": " هذه", "probability": 0.66552734375}, {"start": 1917.28, "end": 1917.54, "word": " تصير", "probability": 0.7173665364583334}, {"start": 1917.54, "end": 1917.96, "word": " تناقض", "probability": 0.9444580078125}, {"start": 1917.96, "end": 1919.38, "word": " مين؟", "probability": 0.5793863932291666}, {"start": 1919.38, "end": 1920.08, "word": " هذه", "probability": 0.47900390625}, {"start": 1920.08, "end": 1921.32, "word": " وبالتالي", "probability": 0.92529296875}, {"start": 1921.32, "end": 1921.64, "word": " صارت", "probability": 0.8929036458333334}, {"start": 1921.64, "end": 1922.18, "word": " تناقض", "probability": 0.96044921875}, {"start": 1922.18, "end": 1923.6, "word": " so", "probability": 0.18408203125}, {"start": 1923.6, "end": 1925.12, "word": " ABA", "probability": 0.792724609375}, {"start": 1925.12, "end": 1926.0, "word": " is", "probability": 0.87890625}, {"start": 1926.0, "end": 1927.04, "word": " another", "probability": 0.94482421875}, {"start": 1927.04, "end": 1929.32, "word": " element", "probability": 0.9501953125}, {"start": 1929.32, "end": 1933.04, "word": " with", "probability": 0.86865234375}, {"start": 1933.04, "end": 1933.76, "word": " order", "probability": 0.93115234375}, {"start": 1933.76, "end": 1935.78, "word": " 2", "probability": 0.5400390625}, {"start": 1935.78, "end": 1936.82, "word": " in", "probability": 0.857421875}, {"start": 1936.82, "end": 1937.12, "word": " J", "probability": 0.744140625}, {"start": 1937.12, "end": 1938.2, "word": " so", "probability": 0.64599609375}, {"start": 1938.2, "end": 1939.7, "word": " we", "probability": 0.904296875}, {"start": 1939.7, "end": 1940.26, "word": " have", "probability": 0.96826171875}], "temperature": 1.0}, {"id": 69, "seek": 196821, "start": 1941.37, "end": 1968.21, "text": "At least كم واحد؟ الـ three elements in J with order تنين خلصنا؟ لأ أنا الحالة اللي ال A,B لا 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{"start": 2360.09, "end": 2360.45, "word": " عندك", "probability": 0.98583984375}, {"start": 2360.45, "end": 2360.91, "word": " Cyclic", "probability": 0.923828125}, {"start": 2360.91, "end": 2361.11, "word": " sub", "probability": 0.82177734375}, {"start": 2361.11, "end": 2361.49, "word": " group", "probability": 0.541015625}, {"start": 2361.49, "end": 2361.73, "word": " ع", "probability": 0.0640869140625}, {"start": 2361.73, "end": 2362.13, "word": " Cyclic", "probability": 0.9065755208333334}, {"start": 2362.13, "end": 2362.37, "word": " sub", "probability": 0.9453125}, {"start": 2362.37, "end": 2362.57, "word": " group", "probability": 0.9755859375}, {"start": 2362.57, "end": 2363.13, "word": " التقادر", "probability": 0.79888916015625}, {"start": 2363.13, "end": 2363.51, "word": " تبعهم", "probability": 0.8597412109375}, {"start": 2363.51, "end": 2363.95, "word": " Cyclic", "probability": 0.8986002604166666}, {"start": 2363.95, "end": 2364.19, "word": " sub", "probability": 0.9404296875}, {"start": 2364.19, "end": 2364.65, "word": " group", "probability": 0.97705078125}, {"start": 2364.65, "end": 2366.07, "word": " هيكون", "probability": 0.6522623697916666}, {"start": 2366.07, "end": 2366.21, "word": " ال", "probability": 0.96630859375}, {"start": 2366.21, "end": 2366.53, "word": " order", "probability": 0.962890625}, {"start": 2366.53, "end": 2366.93, "word": " له", "probability": 0.19970703125}, {"start": 2366.93, "end": 2371.97, "word": " كم", "probability": 0.826416015625}, {"start": 2371.97, "end": 2372.55, "word": " أنصر", "probability": 0.8370768229166666}, {"start": 2372.55, "end": 2373.61, "word": " ال", "probability": 0.77880859375}, {"start": 2373.61, "end": 2375.93, "word": " identity", "probability": 0.92236328125}, {"start": 2375.93, "end": 2376.75, "word": " هو", "probability": 0.9638671875}, {"start": 2376.75, "end": 2377.21, "word": " أنصر", "probability": 0.9661458333333334}, {"start": 2377.21, "end": 2377.33, "word": " ال", "probability": 0.9736328125}, {"start": 2377.33, "end": 2377.55, "word": " order", "probability": 0.97314453125}, {"start": 2377.55, "end": 2377.77, "word": " له", "probability": 0.7783203125}, {"start": 2377.77, "end": 2378.35, "word": " جديش", "probability": 0.706298828125}, {"start": 2378.35, "end": 2379.29, "word": " اتنين", "probability": 0.897216796875}, {"start": 2379.29, "end": 2379.71, "word": " يجب", "probability": 0.7320963541666666}, {"start": 2379.71, "end": 2379.83, "word": " ال", "probability": 0.55859375}, {"start": 2379.83, "end": 2380.09, "word": " order", "probability": 0.9755859375}, {"start": 2380.09, "end": 2380.27, "word": " له", "probability": 0.89990234375}, {"start": 2380.27, "end": 2380.85, "word": " جديش", "probability": 0.9773763020833334}, {"start": 2380.85, "end": 2382.55, "word": " اتنين", "probability": 0.97509765625}, {"start": 2382.55, "end": 2383.23, "word": " انه", "probability": 0.46319580078125}, {"start": 2383.23, "end": 2383.65, "word": " هيساوي", "probability": 0.8262939453125}, {"start": 2383.65, "end": 2383.77, "word": " ال", "probability": 0.99462890625}, {"start": 2383.77, "end": 2384.27, "word": " identity", "probability": 0.9453125}], "temperature": 1.0}, {"id": 85, "seek": 241089, "start": 2387.93, "end": 2410.89, "text": "و X و order X سيكون اتنين ايه بقى ال order ل هذا ال generator سيكون اتنين ستة و خمسين ال E و تلانوس N is not", "tokens": [2407, 1783, 4032, 1668, 1783, 8608, 1829, 30544, 1975, 2655, 1863, 9957, 1975, 1829, 3224, 4724, 4587, 7578, 2423, 1668, 5296, 23758, 2423, 19265, 8608, 1829, 30544, 1975, 2655, 1863, 9957, 8608, 2655, 3660, 4032, 16490, 2304, 3794, 9957, 2423, 462, 4032, 6055, 1211, 7649, 41779, 426, 307, 406], "avg_logprob": -0.5537499988079071, "compression_ratio": 1.3846153846153846, "no_speech_prob": 0.0, "words": [{"start": 2387.93, "end": 2388.19, "word": "و", "probability": 0.2003173828125}, {"start": 2388.19, "end": 2388.65, "word": " X", "probability": 0.53466796875}, {"start": 2388.65, "end": 2389.01, "word": " و", "probability": 0.34619140625}, {"start": 2389.01, "end": 2389.35, "word": " order", "probability": 0.496337890625}, {"start": 2389.35, "end": 2389.77, "word": " X", "probability": 0.7158203125}, {"start": 2389.77, "end": 2390.19, "word": " سيكون", "probability": 0.38443756103515625}, {"start": 2390.19, "end": 2390.63, "word": " اتنين", "probability": 0.72845458984375}, {"start": 2390.63, "end": 2391.99, "word": " ايه", "probability": 0.2994384765625}, {"start": 2391.99, "end": 2392.35, "word": " بقى", "probability": 0.67999267578125}, {"start": 2392.35, "end": 2392.63, "word": " ال", "probability": 0.57763671875}, {"start": 2392.63, "end": 2392.97, "word": " order", "probability": 0.92724609375}, {"start": 2392.97, "end": 2394.49, "word": " ل", "probability": 0.5703125}, {"start": 2394.49, "end": 2394.77, "word": " هذا", "probability": 0.552734375}, {"start": 2394.77, "end": 2394.87, "word": " ال", "probability": 0.89599609375}, {"start": 2394.87, "end": 2395.23, "word": " generator", "probability": 0.9306640625}, {"start": 2395.23, "end": 2395.93, "word": " سيكون", "probability": 0.8527018229166666}, {"start": 2395.93, "end": 2397.75, "word": " اتنين", "probability": 0.8934326171875}, {"start": 2397.75, "end": 2402.67, "word": " ستة", "probability": 0.7399088541666666}, {"start": 2402.67, "end": 2402.73, "word": " و", "probability": 0.99072265625}, {"start": 2402.73, "end": 2403.23, "word": " خمسين", "probability": 0.9627685546875}, {"start": 2403.23, "end": 2409.41, "word": " ال", "probability": 0.2900390625}, {"start": 2409.41, "end": 2409.51, "word": " E", "probability": 0.732421875}, {"start": 2409.51, "end": 2409.65, "word": " و", "probability": 0.265380859375}, {"start": 2409.65, "end": 2410.09, "word": " تلانوس", "probability": 0.54156494140625}, {"start": 2410.09, "end": 2410.33, "word": " N", "probability": 0.82861328125}, {"start": 2410.33, "end": 2410.53, "word": " is", "probability": 0.37939453125}, {"start": 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1211, 34051, 44945, 5172, 2407, 11242, 16472, 13412, 16606, 21984, 8978, 25124, 3555, 9566, 3660, 33962, 10943, 3794, 12399, 5551, 3615, 9566, 1829, 4117, 14407, 18863, 31845, 10632], "avg_logprob": -0.19369834710743802, "compression_ratio": 1.9760765550239234, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 2414.6, "end": 2415.16, "word": "خلاص،", "probability": 0.7685546875}, {"start": 2415.16, "end": 2415.34, "word": " ضال", "probability": 0.531982421875}, {"start": 2415.34, "end": 2415.72, "word": " عندي", "probability": 0.946533203125}, {"start": 2415.72, "end": 2416.68, "word": " أول", "probability": 0.720458984375}, {"start": 2416.68, "end": 2417.46, "word": " سؤال", "probability": 0.88671875}, {"start": 2417.46, "end": 2417.72, "word": " ستة", "probability": 0.8385416666666666}, {"start": 2417.72, "end": 2417.78, "word": " و", "probability": 0.96923828125}, {"start": 2417.78, "end": 2418.16, "word": " خمسين،", "probability": 0.92158203125}, {"start": 2418.16, "end": 2418.44, "word": " تمانية", "probability": 0.845703125}, {"start": 2418.44, "end": 2418.52, "word": " و", "probability": 0.99755859375}, {"start": 2418.52, "end": 2418.84, "word": " خمسين،", "probability": 0.96962890625}, {"start": 2418.84, "end": 2419.0, "word": " تسعة", "probability": 0.8907877604166666}, {"start": 2419.0, "end": 2419.08, "word": " و", "probability": 0.9990234375}, {"start": 2419.08, "end": 2419.78, "word": " خمسين،", "probability": 0.8580078125}, {"start": 2419.78, "end": 2420.06, "word": " أربعة،", "probability": 0.5889892578125}, {"start": 2420.06, "end": 2420.12, "word": " هذا", "probability": 0.326171875}, {"start": 2420.12, "end": 2420.32, "word": " سؤال", "probability": 0.9811197916666666}, {"start": 2420.32, "end": 2420.54, "word": " مهم", "probability": 0.991455078125}, {"start": 2420.54, "end": 2420.7, "word": " يا", "probability": 0.6142578125}, {"start": 2420.7, "end": 2420.9, "word": " شباب", "probability": 0.9890950520833334}, {"start": 2420.9, "end": 2421.26, "word": " عشان", "probability": 0.8255208333333334}, {"start": 2421.26, "end": 2423.3, "word": " الخامس", "probability": 0.7888997395833334}, {"start": 2423.3, "end": 2423.56, "word": " أسئلة", "probability": 0.86572265625}, {"start": 2423.56, "end": 2423.74, "word": " اللي", "probability": 0.745849609375}, {"start": 2423.74, "end": 2424.0, "word": " ضايلة", "probability": 0.7882080078125}, {"start": 2424.0, "end": 2424.38, "word": " بنحلها", "probability": 0.9486083984375}, {"start": 2424.38, "end": 2424.48, "word": " في", "probability": 0.92578125}, {"start": 2424.48, "end": 2424.82, "word": " بداية", "probability": 0.9641927083333334}, {"start": 2424.82, "end": 2425.3, "word": " المحاضرة", "probability": 0.963623046875}, {"start": 2425.3, "end": 2425.88, "word": " القادمة", "probability": 0.9949544270833334}, {"start": 2425.88, "end": 2426.72, "word": " و", "probability": 0.6064453125}, {"start": 2426.72, "end": 2426.96, "word": " بعد", "probability": 0.869140625}, {"start": 2426.96, "end": 2427.36, "word": " هيكت", "probability": 0.6751302083333334}, {"start": 2427.36, "end": 2428.14, "word": " بنكمل", "probability": 0.966796875}, {"start": 2428.14, "end": 2428.32, "word": " أو", "probability": 0.70068359375}, {"start": 2428.32, "end": 2428.66, "word": " بنفوض", "probability": 0.8646240234375}, {"start": 2428.66, "end": 2428.76, "word": " ان", "probability": 0.71923828125}, {"start": 2428.76, "end": 2428.9, "word": " شاء", "probability": 0.953857421875}, {"start": 2428.9, "end": 2428.94, "word": " الله", "probability": 0.9638671875}, {"start": 2428.94, "end": 2429.06, "word": " في", "probability": 0.96923828125}, {"start": 2429.06, "end": 2429.38, "word": " الشبطة", "probability": 0.73760986328125}, {"start": 2429.38, "end": 2429.88, "word": " الخامس،", "probability": 0.8665771484375}, {"start": 2429.88, "end": 2430.18, "word": " أعطيكوا", "probability": 0.8209635416666666}, {"start": 2430.18, "end": 2430.52, "word": " العافية", "probability": 0.8699544270833334}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2432.0115, "duration_after_vad": 2238.681874999994}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/eNtIlTkhU3g.srt b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/eNtIlTkhU3g.srt
new file mode 100644
index 0000000000000000000000000000000000000000..9f2b66de41e2c2c491f0e0de0b411906f43341f9
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/eNtIlTkhU3g.srt
@@ -0,0 +1,1851 @@
+1
+00:00:21,160 --> 00:00:25,200
+بسم الله الرحمن الرحيم اليوم إن شاء الله بنكمل ما 
+
+2
+00:00:25,200 --> 00:00:30,420
+ابتدأناه في المحاضرة الماضية وهو أننا لازمنا في
+
+3
+00:00:30,420 --> 00:00:35,180
+chapter المقدمة اللازمة للـ abstract algebra لهذا
+
+4
+00:00:35,180 --> 00:00:41,350
+الفصل في المرة الماضية تعرضنا لتقسيمات الـ sets ال
+
+5
+00:00:41,350 --> 00:00:46,410
+natural numbers الـ set of integers الـ rational
+
+6
+00:00:46,410 --> 00:00:49,870
+numbers الـ real numbers الـ complex numbers ثم
+
+7
+00:00:49,870 --> 00:00:55,970
+تعرضنا للقسمة وخوارزمية القسمة والـ primes اللي
+
+8
+00:00:55,970 --> 00:01:02,310
+هي من الأعداد الأولية وكذلك لمضاعفات الأشياء اليوم
+
+9
+00:01:02,310 --> 00:01:05,890
+إن شاء الله بدنا نبدأ في أو طبعًا هو الـ greatest common divisor
+
+10
+00:01:05,890 --> 00:01:10,510
+وكتابة اللي هو greatest common
+
+11
+00:01:10,510 --> 00:01:15,490
+divisor على شكل linear combination من الرقمين
+
+12
+00:01:15,490 --> 00:01:18,930
+تبعات greatest common divisor لـ two elements a و
+
+13
+00:01:18,930 --> 00:01:24,230
+b بقولنا بإمكانكم كتابته على شكل a s زائد t في b
+
+14
+00:01:24,230 --> 00:01:30,230
+حيث الـ s والـ t رقمين موجودين في set of integers بدنا
+
+15
+00:01:30,230 --> 00:01:39,270
+نيجي للّمة اللي بتقول ما يأتي لما بيقول
+
+16
+00:01:39,270 --> 00:01:49,070
+if P is a prime if P is a prime لو كان P عدد أولي
+
+17
+00:01:49,070 --> 00:02:00,310
+and الـ P divides حاصل الضرب A في B then الـ P بتقسم الـ
+
+18
+00:02:00,310 --> 00:02:15,850
+A أو الـ P بتقسم الـ B لما
+
+19
+00:02:15,850 --> 00:02:20,880
+بالعربي يا شباب يعني فرضية مساعدة زي ولا تشبيه
+
+20
+00:02:20,880 --> 00:02:25,180
+بقينا نقول في الهندسة زمان تمرين مشهور يبقى هذه ما
+
+21
+00:02:25,180 --> 00:02:31,240
+نسميها فرضية مساعدة الترجمة العربية لكلمة lemma بس
+
+22
+00:02:31,240 --> 00:02:36,100
+احنا أنا في العربي في lemma وليس لمّة سمعتوا فيها
+
+23
+00:02:36,100 --> 00:02:41,400
+lemma في اللغة العربية موجودة في آية من القرآن
+
+24
+00:02:41,400 --> 00:02:44,540
+الكريم حد بعرفلي هذه الآية 
+
+25
+00:02:48,770 --> 00:02:54,810
+لأ مش ولما أنا بقول لك لما فقط بدون واحد في صورة
+
+26
+00:02:54,810 --> 00:03:02,150
+ايش في صورة ايش الحجرات لأ يا راجل تاجي الله
+
+27
+00:03:02,150 --> 00:03:10,830
+وتأكلون التراث أكل اللمّ في الفجر ممتاز جدا طيب
+
+28
+00:03:10,830 --> 00:03:16,460
+ايش معنى لما هنا في اللغة العربية وتأكلون التراث
+
+29
+00:03:16,460 --> 00:03:18,020
+أكل اللمّا
+
+30
+00:03:28,940 --> 00:03:33,400
+يعني بهذا المعنى قريبا هو تأكلون التراث أكلا لما
+
+31
+00:03:33,400 --> 00:03:38,440
+التراث المقصود به هو الميراث فبعض الوراثة بروح
+
+32
+00:03:38,440 --> 00:03:42,860
+بستاسر بروح اه بروح على الطاب وبسجل الميراث كله
+
+33
+00:03:42,860 --> 00:03:45,880
+باسمه وبحرم مين بحرم الباقي
+
+34
+00:04:00,840 --> 00:04:05,380
+يبقى لما يقول فـ الـ P is a prime لو كان الـ P عددا
+
+35
+00:04:05,380 --> 00:04:11,850
+أوليا والـ P بيقسم حصلت ضرب A في B يبقى P في هذه
+
+36
+00:04:11,850 --> 00:04:17,650
+الحالة إما أن يقسم الـ A وإما أن يقسم الـ B واحدة
+
+37
+00:04:17,650 --> 00:04:22,170
+منهم مش التنتين في آن واحد نروح نثبت صحة هذا
+
+38
+00:04:22,170 --> 00:04:30,410
+الكلام يبقى بالداجي أقوله assume افترض أن الـ P is
+
+39
+00:04:30,410 --> 00:04:40,910
+prime and الـ P divides الـ A بهذه المعطيات ايش
+
+40
+00:04:40,910 --> 00:04:46,710
+بيقولي يبقى بيقول الـ P يبدأ تقسم الـ A يبدأ تقسم الـ
+
+41
+00:04:46,710 --> 00:04:52,270
+B يبقى أنا بدأ افترض أن هي مثلا لا تقسم الـ A واروح
+
+42
+00:04:52,270 --> 00:05:00,380
+أثبت أن هي تقسم الـ B يبقى هنا بالداجي أقول let الـP
+
+43
+00:05:00,380 --> 00:05:07,500
+بتقسم الـA لا تقسم الـA مثلا يبقى شو بدنا نعمل one
+
+44
+00:05:07,500 --> 00:05:14,700
+to show بدنا نروح نبين أن الـP بتقسم الـB هذا اللي
+
+45
+00:05:14,700 --> 00:05:22,480
+عايزين نثبته الآن بجي بقوله since بما أن الـP لا
+
+46
+00:05:22,480 --> 00:05:24,080
+تقسم الـA
+
+47
+00:05:26,430 --> 00:05:32,090
+إذا شو العلاقة بين الـ P والـ A إثنين الـ Primes
+
+48
+00:05:32,090 --> 00:05:37,590
+والله Relatively Primes Relatively Primes تمام
+
+49
+00:05:37,590 --> 00:05:49,830
+تمام يبقى since then الـ A والـ P are Relatively
+
+50
+00:05:49,830 --> 00:05:52,490
+Primes
+
+51
+00:05:54,370 --> 00:05:57,890
+طيب كويس يبقى كده الـ greatest common divisors ما
+
+52
+00:05:57,890 --> 00:06:04,070
+بين الإثنين واحد صحيح يبقى relatively a prime هذا
+
+53
+00:06:04,070 --> 00:06:09,470
+بده يعطينا للـ greatest common divisors لمن للـ a
+
+54
+00:06:09,470 --> 00:06:16,050
+والـ p بده يساوي كده؟ واحد صحيح آخر حاجة في محاضرة
+
+55
+00:06:16,050 --> 00:06:19,970
+المرة الماضية قلنا لـ greatest common divisor بقدر
+
+56
+00:06:19,970 --> 00:06:24,430
+أكتبه على صيغة linear combination من الـ a والـ p
+
+57
+00:06:24,430 --> 00:06:34,870
+مظبوط يبقى هدف يتطلب أن هناك s و t موجودة في z
+
+58
+00:06:34,870 --> 00:06:45,620
+integers such that بحيث أن الـ A S زائد الـ P T كله
+
+59
+00:06:45,620 --> 00:06:49,800
+بده يساوي مين؟ بده يساوي واحد، صحيح طب احنا ايش
+
+60
+00:06:49,800 --> 00:06:57,020
+بدنا نثبت؟ احنا بدنا نثبت أن P تقسم الـ B، تمام؟
+
+61
+00:06:57,020 --> 00:07:02,440
+إذا هذه المعادلة بقدر أخلق فيها الـ B في شجة صحيح
+
+62
+00:07:02,440 --> 00:07:05,980
+ولا لأ؟ كيف أسوي في المعادلة ده مش خلّي اخلي هنا
+
+63
+00:07:05,980 --> 00:07:12,140
+P، شو بنعمل؟ عندي معادلة بدي اخلها بدل واحد بيّهيش
+
+64
+00:07:12,140 --> 00:07:18,680
+اعمل نضرب الطرفين في بي يبقى لو ضربنا في بي هذه
+
+65
+00:07:18,680 --> 00:07:27,300
+المعادلة بتصير a s b زائد b t في الـ b بده يساوي الـ b
+
+66
+00:07:28,940 --> 00:07:32,180
+يبقى الـ linear combination تبع الـ greatest common
+
+67
+00:07:32,180 --> 00:07:36,260
+divisor وضربتها في P ليش؟ مشان أخلق في الطرف
+
+68
+00:07:36,260 --> 00:07:42,320
+اليمين P الآن، شو اللي مطلوب؟ بدي أثبت أن P بتقسم
+
+69
+00:07:42,320 --> 00:07:48,100
+بي لو الـ P قسمت الطرف الشمال، إذن automatic هتقسم
+
+70
+00:07:48,100 --> 00:07:51,760
+الطرف اليمين صحيح ولا لأ؟ لأن الطرفين هدول are
+
+71
+00:07:51,760 --> 00:07:57,540
+equal، إثنين متساوية الآن السؤال هو هل P بتقسم هذا
+
+72
+00:07:57,540 --> 00:08:03,660
+الـ term الصغير هذا؟ اه مُعطى معانا أن P بتقسم الـ A
+
+73
+00:08:03,660 --> 00:08:07,760
+في B يبقى بتقسم الـ A في الـ B في الـ S يبقى باجي
+
+74
+00:08:07,760 --> 00:08:16,040
+بقوله since بما أن الـ P بتقسم الـ A في الـ B we have
+
+75
+00:08:16,040 --> 00:08:24,830
+أن الـ P بتقسم الـ A B في الـ S اللي عندنا هذا طيب
+
+76
+00:08:24,830 --> 00:08:29,870
+الآن P بتقسم هذا كمان ولا لأ؟ لأنه هي يبقى بتقسم
+
+77
+00:08:29,870 --> 00:08:39,490
+الـ term هذا يبقى باجي بقوله and الـ P بتقسم الـ P T B
+
+78
+00:08:40,520 --> 00:08:47,000
+هذا معناه ايش أن الـ P بتقسم مجموع إثنين يبقى
+
+79
+00:08:47,000 --> 00:08:57,360
+بتقسم الـ A B S زائد الـ P T B مدام بتقسم إثنين
+
+80
+00:08:57,360 --> 00:09:02,840
+هدول معناته بتقسمين بتقسم الـ P اللي بيسويهم هذا
+
+81
+00:09:02,840 --> 00:09:08,320
+بده يعطينا أن P بتقسم الـ B وهو المطلوب
+
+82
+00:09:11,000 --> 00:09:15,400
+مرة ثانية بقول طبعا هذا هو الشغل اللي بنبره هنا
+
+83
+00:09:15,400 --> 00:09:20,660
+وشغل بسيط لسه ما دخلناش هنا في التقيل بيقول ايه لو كان
+
+84
+00:09:20,660 --> 00:09:25,900
+P prime والـ P بتقسم الـ A في B يبقى الـ P يا بدها
+
+85
+00:09:25,900 --> 00:09:30,580
+تقسم الرقم الأول يا بدها تقسم الرقم الثاني وطبعا
+
+86
+00:09:30,580 --> 00:09:36,290
+إثنين two integers مش real number يبقى إما P بتقسم
+
+87
+00:09:36,290 --> 00:09:41,330
+الـ A يبقى P بتقسم الـ B يبقى فرضنا P prime و P تقسم
+
+88
+00:09:41,330 --> 00:09:46,910
+الـ A في B بدي افترض أن P لا تقسم الـ A وأحاول أثبت
+
+89
+00:09:46,910 --> 00:09:52,090
+أن P بتقسم الـ B أو العكسين هذين أو هذين أو هذين
+
+90
+00:09:52,090 --> 00:09:53,250
+أو هذين أو هذين أو هذين أو هذين أو هذين أو هذين أو
+
+91
+00:09:53,250 --> 00:10:00,240
+هذين أو هذين أو هذين أو هذين أو هذين أو هذين مدام
+
+92
+00:10:00,240 --> 00:10:05,020
+relatively prime يبقى الـ greatest common divisor بده
+
+93
+00:10:05,020 --> 00:10:09,600
+يساوي قداش واحد آخر حاجة كتبناها المرة الماضية أنه
+
+94
+00:10:09,600 --> 00:10:13,300
+لـ greatest common divisor بقدر أكتب على صيغة linear
+
+95
+00:10:13,300 --> 00:10:17,760
+combination من الرقمين اللي عندنا يبقى there
+
+96
+00:10:17,760 --> 00:10:23,320
+exists S و T في Z بحيث أن الـ A S زائد B T بده يساوي
+
+97
+00:10:23,320 --> 00:10:27,980
+قداش واحد صحيح المعادلة هذه كلها بدي ضربها في الرقم
+
+98
+00:10:27,980 --> 00:10:32,760
+بي اللي أنا بدي أثبت أنه P بتقسمه يبقى لو ضربناه
+
+99
+00:10:32,760 --> 00:10:37,680
+في بي يصير عندي A B S زائد B T B بدي يساوي من B
+
+100
+00:10:37,680 --> 00:10:43,950
+الآن الـ P بتقسم الـ A في B هذا معطى إذا الـ P بتقسم
+
+101
+00:10:43,950 --> 00:10:50,930
+الرقم هذا كله إثنين الـ P بتقسم الـ P T B معناته
+
+102
+00:10:50,930 --> 00:10:55,670
+الـ P بتقسم مجموعة الإثنين مدام تقسم مجموعة الإثنين
+
+103
+00:10:55,670 --> 00:11:02,810
+إذا بتقسم B وهو المطلوب طب السؤال هو لو P ما كانتش
+
+104
+00:11:02,810 --> 00:11:10,480
+prime هل اللمة هذه بتظل صحيحة أم لا هذا تساؤل في
+
+105
+00:11:10,480 --> 00:11:14,760
+الشمكانية في الشمكانية يبقى ضروري لازم يكون P
+
+106
+00:11:14,760 --> 00:11:21,000
+Prime طبعًا هعطيك مثال على كل منها الآن لو جينا
+
+107
+00:11:21,000 --> 00:11:26,420
+قلنا خدلي الملاحظة هذه اللي احنا سألناكوا ياها
+
+108
+00:11:26,420 --> 00:11:31,620
+فبعدين بقول note if
+
+109
+00:11:31,620 --> 00:11:47,010
+الـ P is not a prime لو ما كانش prime ليه above lemma لما
+
+110
+00:11:47,010 --> 00:12:00,030
+false يبقى هذه ماهي صحيحة for example for
+
+111
+00:12:00,030 --> 00:12:01,830
+example
+
+112
+00:12:04,510 --> 00:12:12,290
+الـ 6 بتقسم الـ 4 ضرب 3 مظبوط 4 في 3
+
+113
+00:12:12,290 --> 00:12:21,650
+بإطماشي 6 بتقسم 12 but الـ 6 لا تقسم الـ 4 و
+
+114
+00:12:21,650 --> 00:12:31,470
+كذلك الـ 6 لا تقسم الـ 3 لماذا؟ لأن الـ 6 ليس prime
+
+115
+00:12:31,470 --> 00:12:43,590
+يبقى هنا لأن الـ 6 ليس prime يبقى
+
+116
+00:12:43,590 --> 00:12:50,890
+ضروري جدا لكي تقسم واحد منهم لازم تكون P عندها prime
+
+117
+00:12:51,390 --> 00:12:55,850
+مثلا but الـ 5
+
+118
+00:12:55,850 --> 00:13:03,110
+divides 2 في 10 مظبوط هكذا؟ 2 في 10 أنا
+
+119
+00:13:03,110 --> 00:13:10,970
+ما أقدرش 20 الـ 5 بتقسم الـ 20 هنا but
+
+120
+00:13:10,970 --> 00:13:17,750
+ولكن الـ 5 لا تقسم 2 بتقسمش 2 لكن الـ 5
+
+121
+00:13:17,750 --> 00:13:24,250
+بتقسم من؟ بتقسم الـ 10 يبقى part and الـ 5 divide
+
+122
+00:13:24,250 --> 00:13:29,830
+الـ 10 ليش؟ لأن الـ 5 is prime يبقى بقدر أقوله
+
+123
+00:13:29,830 --> 00:13:38,890
+هنا because أن الـ 5 هذه is prime يبقى لو كانت الـ
+
+124
+00:13:38,890 --> 00:13:44,250
+prime بتقسم أحدهما لو ما كانتش الـ prime يبقى بصير
+
+125
+00:13:44,250 --> 00:13:48,510
+اللمة اللي عندي ماهي صحيحة لا يمكن أن تقسم أيا
+
+126
+00:13:48,510 --> 00:13:55,350
+منهما ابنجي لنظرية النظرية هذه هي الfundamental
+
+127
+00:13:55,350 --> 00:13:59,570
+theorem of arithmetic fundamental
+
+128
+00:14:07,260 --> 00:14:12,800
+fundamental theorem of 
+
+129
+00:14:12,800 --> 00:14:27,020
+arithmetic بتقول
+
+130
+00:14:27,020 --> 00:14:38,650
+معناتي every integer every integer  a greater than
+
+131
+00:14:38,650 --> 00:14:51,790
+one أكبر من الواحد is a prime or a
+
+132
+00:14:51,790 --> 00:14:56,370
+product of
+
+133
+00:14:56,370 --> 00:15:00,830
+primes that is
+
+134
+00:15:05,140 --> 00:15:16,880
+I mean any integer a greater than one can be
+
+135
+00:15:16,880 --> 00:15:23,900
+factored ممكن
+
+136
+00:15:23,900 --> 00:15:31,880
+تابته على شكل عوامل uniquely as
+
+137
+00:15:31,880 --> 00:15:32,700
+a product
+
+138
+00:15:40,530 --> 00:15:46,590
+as a product of primes
+
+139
+00:15:46,590 --> 00:15:52,450
+as a product
+
+140
+00:15:52,450 --> 00:16:01,890
+of a prime in the form الشكل
+
+141
+00:16:01,890 --> 00:16:11,070
+التالي ال A سواء P1 بص Alpha 1 في P2 بص alpha two
+
+142
+00:16:11,070 --> 00:16:23,050
+ونظل ماشيين لغاية P in بص alpha in where حيثهم ال
+
+143
+00:16:23,050 --> 00:16:34,590
+P واحد أقل من P اتنين أقل أقل من P in and the
+
+144
+00:16:34,590 --> 00:16:37,410
+exponents
+
+145
+00:16:41,710 --> 00:16:49,950
+الألفة واحد والألفة اتنين و لغاية الألفة in R
+
+146
+00:17:40,000 --> 00:17:47,700
+بالبلد هيك قبل ما نقرأ الناس اي عدد صحيح عندك هنا
+
+147
+00:17:47,700 --> 00:17:52,360
+بقول every integer greater than one يبقى اي عدد
+
+148
+00:17:52,360 --> 00:17:58,300
+صحيح اكبر من الواحدة الصحية بقدر اكتبه على صيغة
+
+149
+00:17:58,300 --> 00:18:05,600
+حاصل ضرب اعداد اولية يبقى يابا كتب على شكل prime
+
+150
+00:18:05,600 --> 00:18:11,500
+واحد يا إما حاصل ضرب الـprimes هدول قد يكون
+
+151
+00:18:11,500 --> 00:18:15,600
+الأس تبع واحد وقد يكون الأس اتنين تلاتة اربع عشرة
+
+152
+00:18:15,600 --> 00:18:20,420
+جد ما يكون تختلف من الرقم الاخريبقى بيقول أي عدد
+
+153
+00:18:20,420 --> 00:18:24,260
+صحية اكبر من الواحد يعني موجب و اكبر من الواحد
+
+154
+00:18:24,260 --> 00:18:28,960
+الصحية يا بيكون prime يا اما products of a prime
+
+155
+00:18:28,960 --> 00:18:35,280
+يبقى يا حاصل ضرب اعداد اولية السطر هذا بدنا نعيد
+
+156
+00:18:35,280 --> 00:18:40,410
+صياغته من جديد يبقى لما نقل صيغة 8 يقول that is أي
+
+157
+00:18:40,410 --> 00:18:45,230
+أن اي integer a مثلا greater than one can be
+
+158
+00:18:45,230 --> 00:18:50,810
+factored عوامل يعني بقدر اكتب على شكل عوامل
+
+159
+00:18:50,810 --> 00:18:57,570
+uniquely بطريقة وحيدة فقط لا غير as a product of a
+
+160
+00:18:57,570 --> 00:19:02,990
+prime كحاصل ضرب a prime in the form a يسوى P1 α1
+
+161
+00:19:02,990 --> 00:19:09,920
+P2 α2 مضروب في PN αN الـ P1 والـ P2 والـ PN كلهم الـ
+
+162
+00:19:09,920 --> 00:19:14,800
+Primes وبدي أدرج من الأصغر للأكبر يعني مين أصغر
+
+163
+00:19:14,800 --> 00:19:19,910
+الـ Prime عندى؟ اتنين اللي بعده .. اللي بعده اللي
+
+164
+00:19:19,910 --> 00:19:24,670
+بعده وهكذا بده يظل ماشي هذا ال prime حطها للأسس
+
+165
+00:19:24,670 --> 00:19:30,310
+اللي بدكيها حسب طبيعة الرقم اللي موجود عندك بيقول
+
+166
+00:19:30,310 --> 00:19:34,730
+حيث ال P1 أقل من P2 أقل من PN والأسس هذه ال
+
+167
+00:19:34,730 --> 00:19:39,750
+exponents الأسس Alpha 1 و Alpha 2 كلهم بالموجبة
+
+168
+00:19:39,750 --> 00:19:45,780
+نبدأ ناخد مثلا أمثلة السابعة يبقى هذا prime لحاله
+
+169
+00:19:45,780 --> 00:19:52,300
+محل لو خلص فيش غيره طيب لو جيت قولت عشرين عشرين
+
+170
+00:19:52,300 --> 00:19:56,660
+اللي هي أربعة في خمسة تمام أربعة اللي هي اتنين
+
+171
+00:19:56,660 --> 00:20:02,760
+تربيع في خمسة اللي هي اتنين prime والخمسة أس واحد
+
+172
+00:20:02,760 --> 00:20:07,680
+واتنين أس اتنين يبقى Alpha واحد باتنين وAlpha
+
+173
+00:20:07,680 --> 00:20:12,640
+اتنين بقداش بواحد يعني هنا لو جيت قولت for example
+
+174
+00:20:13,750 --> 00:20:20,090
+for example لو
+
+175
+00:20:20,090 --> 00:20:25,810
+جيت قلت عشرين عشرين تساوي أربعة في خمسة يساوي
+
+176
+00:20:25,810 --> 00:20:30,830
+اتنين تربيع في خمسة اطلع الاتنين ال prime والخمسة
+
+177
+00:20:30,830 --> 00:20:35,310
+ال prime الاتنين الأصغر والخمسة أكبر منه طبقا ل ال
+
+178
+00:20:35,310 --> 00:20:40,730
+conditional والأسس اللي عندنا هذه موجبة طيب لو جيت
+
+179
+00:20:40,730 --> 00:20:43,550
+قلت على سبيل المثال ستين
+
+180
+00:20:49,240 --> 00:20:59,130
+أربعة في خمسة عشر بستين يعني أربعة في خمسة عشر طب
+
+181
+00:20:59,130 --> 00:21:04,110
+الأربعة هذه عبارة عن اتنين تربيع و الخمسة عشر تلاتة
+
+182
+00:21:04,110 --> 00:21:10,570
+في خمسة يبقى تلاتة كذلك في خمسة يبقى اتنين تربيع
+
+183
+00:21:10,570 --> 00:21:15,050
+تلاتة في خمسة اتنين a prime و التلاتة prime و
+
+184
+00:21:15,050 --> 00:21:19,510
+الخمسة prime و الأسس اتنين واحد واحد عادي جدا لو
+
+185
+00:21:19,510 --> 00:21:24,370
+جيتي قولتلك مش ستين كبرها كتير مثلا تلاتمية و ستين
+
+186
+00:21:26,060 --> 00:21:31,920
+تلاتمية و ستين اللي هي عبارة عن تمانية في خمسة و
+
+187
+00:21:31,920 --> 00:21:37,210
+اربعين مظبوط ولا لا؟ يبقى خمسة واربعين وخمسة
+
+188
+00:21:37,210 --> 00:21:42,570
+واربعين تسعين في أربع مظبوط إذا خمسة واربعين في
+
+189
+00:21:42,570 --> 00:21:49,210
+تمانية التمانية هذه عبارة عن اتنين تكعيب الخمسة
+
+190
+00:21:49,210 --> 00:21:54,170
+واربعين اللي عبارة عن تسعة في خمسة هذه اللي بقدر
+
+191
+00:21:54,170 --> 00:22:01,030
+اكتبها اتنين تكعيب في تلاتة تربيع في خمسة لاحظ
+
+192
+00:22:01,030 --> 00:22:08,010
+الـPrimes مرتبة 2 3 5 والأسس 3 2 1 عادي جدا ماعناش
+
+193
+00:22:08,010 --> 00:22:12,810
+مشكلة يبقى كل الـAlpha اللي عند هدول الـPrimes كل
+
+194
+00:22:12,810 --> 00:22:20,170
+الـAlpha عبارة عن الأسس موجبة والـP مرتبة P1 P2 P3
+
+195
+00:22:20,170 --> 00:22:24,310
+زي ما أحنا شايفين و هكذا يبقى اي عدد يجي في بالك ان
+
+196
+00:22:24,310 --> 00:22:28,910
+شاء الله يكون الف وان شاء الله يكون خمسين الف جدا
+
+197
+00:22:28,910 --> 00:22:32,770
+الرقم اللي يجي في بالك بتقدر تكتبه كله على حاصل
+
+198
+00:22:32,770 --> 00:22:36,330
+ضرب اش الـprimes مخدها بالتدريج يعني انا بقدرش اشوف
+
+199
+00:22:36,330 --> 00:22:40,730
+أكم اتنين فيها اكم تلاتة فيها اكم خمسة اكم سبعة
+
+200
+00:22:40,730 --> 00:22:46,990
+إلى اخرين تمام؟ يبقى هذا المقصود بهذا نجي لتعريف
+
+201
+00:22:46,990 --> 00:22:51,870
+جديد حاجة اسمه المضاعف المشترك الأصغر هذا اللي بيجي
+
+202
+00:22:51,870 --> 00:22:57,110
+ناخده لما نوحد المقامات في المرحلة الابتدائية و
+
+203
+00:22:57,110 --> 00:23:01,270
+الاعدادية مش خدناه هذا لما يكون عندك رقامين أو
+
+204
+00:23:01,270 --> 00:23:05,070
+كسرين بيبقى توحد المقامات و تشوف القاسرين قد إيش
+
+205
+00:23:05,070 --> 00:23:08,970
+بتساوي يبقى هنعطي التعريف التالي اللي هو
+
+206
+00:23:08,970 --> 00:23:15,950
+definition the least common multiple the least
+
+207
+00:23:15,950 --> 00:23:19,790
+common multiple
+
+208
+00:23:22,680 --> 00:23:29,420
+least common multiple of two
+
+209
+00:23:29,420 --> 00:23:41,200
+non-zero integers a and b
+
+210
+00:23:41,200 --> 00:23:44,720
+is the smallest
+
+211
+00:23:51,050 --> 00:23:58,930
+positive integer positive
+
+212
+00:23:58,930 --> 00:24:12,090
+integer that is a multiple of
+
+213
+00:24:12,090 --> 00:24:19,270
+both a and b
+
+214
+00:24:23,210 --> 00:24:35,310
+we do not add by least common multiple لل a والb
+
+215
+00:24:54,470 --> 00:25:00,410
+common مشترك least أقل multiple مضاعفة يبقى مسمى
+
+216
+00:25:00,410 --> 00:25:06,450
+المضاعف المشترك الأصغر يعني بدي أشوف أصغر رقم
+
+217
+00:25:06,450 --> 00:25:11,610
+بيقسم كل من الرقمين اللي عندنا يبقى the least
+
+218
+00:25:11,610 --> 00:25:19,390
+common multiple أصغر رقم يقسم non-zero integers a
+
+219
+00:25:19,390 --> 00:25:25,870
+والb يبقى of two non-zero integers a and b
+
+220
+00:25:30,190 --> 00:25:36,490
+is the smallest positive integer أصغر عدد صحيح
+
+221
+00:25:36,490 --> 00:25:41,850
+موجب that is a multiple of both a and b يبقى أصغر
+
+222
+00:25:41,850 --> 00:25:47,940
+عدد يكون مضاعفات ال a والb في آن واحد we denote it
+
+223
+00:25:47,940 --> 00:25:55,440
+by اللي هو main a و b يبقى هذا هندله الرمز least
+
+224
+00:25:55,440 --> 00:25:59,700
+common multiple of a و b زي مجرسيس common divisor
+
+225
+00:25:59,700 --> 00:26:05,080
+قدنا g,c,d هنا least common multiple يبقى l,c,m هو
+
+226
+00:26:05,080 --> 00:26:09,300
+اختصار لل least common multiple نعطي مثال مثلا
+
+227
+00:26:09,300 --> 00:26:10,020
+example
+
+228
+00:26:14,420 --> 00:26:19,020
+لو دي اتنين من واحد بدي ال least common multiple
+
+229
+00:26:19,020 --> 00:26:26,920
+مثلا لست و اتناش ايش اول رقم بيقابلني بيقسم كله من
+
+230
+00:26:26,920 --> 00:26:40,600
+الست و اتناش الواحد اتنين تلاتة بدي اول رقم اتنين
+
+231
+00:26:40,600 --> 00:26:45,580
+هدول بيقسموه في انا واحد أيوة ممتاز جدا يبقى هنا
+
+232
+00:26:45,580 --> 00:26:50,740
+هذا بدى يساوي كده اش او اتناش يبقى اتناش هو اول
+
+233
+00:26:50,740 --> 00:26:54,860
+رقم بيقابلني الست بيقدر يقسمه و اتناش يعني هذا
+
+234
+00:26:54,860 --> 00:27:00,080
+المضاعف المشترك الأصغر للاتنين طبعا طيب لو جيت
+
+235
+00:27:00,080 --> 00:27:07,300
+قولتك بدي ال least common multiple للاربعة والست
+
+236
+00:27:07,300 --> 00:27:09,200
+ة اتنين
+
+237
+00:27:12,570 --> 00:27:17,970
+الاربعة بتقسم اتنين بقولك اول رقم بيجابلك بحيث
+
+238
+00:27:17,970 --> 00:27:20,510
+هالرقمين بدهم يقسموا هذا الرقم
+
+239
+00:27:26,370 --> 00:27:32,690
+يبقى 12 هذا أول رقم بيقسم الأربعة والستة طبعا في
+
+240
+00:27:32,690 --> 00:27:38,150
+أرقام بعده كتير في بعده لكن هذا هو أصغر رقم اللي
+
+241
+00:27:38,150 --> 00:27:42,310
+.. اللي .. اللي اتنين هدول بيجسموه مثلا الأربعة
+
+242
+00:27:42,310 --> 00:27:46,240
+والستة بتجسم الأربعة وعشرين لكن في أصغر من ال 24
+
+243
+00:27:46,240 --> 00:27:51,240
+ليومين اللي هو ال 12 و هكذا طيب لو بدي ال least
+
+244
+00:27:51,240 --> 00:27:57,940
+common multiple ل التلاتة و السبعة
+
+245
+00:28:09,050 --> 00:28:17,090
+لو بدي ال least common multiple لستة والعشرة
+
+246
+00:28:21,130 --> 00:28:25,110
+تلاتين تلاتين قبل الستين تلاتين بتقسم الستة
+
+247
+00:28:25,110 --> 00:28:31,690
+وبتقسمين وبتقسم العشرة يبقى هذا بده يساوي تلاتين
+
+248
+00:28:31,690 --> 00:28:36,110
+طب لو جيت قولتلك بدي ال least common multiple
+
+249
+00:28:36,110 --> 00:28:39,650
+للعشرة والاطمعاش
+
+250
+00:28:42,730 --> 00:28:49,110
+ستين يبقى هنا ستين يبقى الستين بتقسم العشرة وفي 
+
+251
+00:28:49,110 --> 00:28:52,610
+نفس الوقت بتقسم الاتنين يعني شوف الابتدائي المضاعف
+
+252
+00:28:52,610 --> 00:28:56,130
+المشترك للرقمين بس أنت كان عندك في الابتدائي علشان
+
+253
+00:28:56,130 --> 00:28:58,970
+تشوف القصور بشوف المضاعفات للقصور
+
+254
+00:29:01,120 --> 00:29:05,080
+وهكذا يعني قد يكون الـ LCM والـ multiple الاثنين
+
+255
+00:29:05,080 --> 00:29:10,240
+واحد فيهم مثل هيك لكن بعد هيك لازم يكون أكبر من
+
+256
+00:29:10,240 --> 00:29:16,000
+الاثنين أكبر من الرقمين في أنواع تطلع هنا أكبر من
+
+257
+00:29:16,000 --> 00:29:19,640
+الأربعة و أكبر من الستة أكبر من الثلاث و أكبر من
+
+258
+00:29:19,640 --> 00:29:22,840
+السبعة أكبر من الستة و أكبر من العشرة أكبر من
+
+259
+00:29:22,840 --> 00:29:27,600
+العشرة و من الاثناش وهكذا يعني أقل حاجة لازم يسوي
+
+260
+00:29:27,600 --> 00:29:33,200
+واحد فيهم ولا يمكن ينزل عن أي واحد فيهم يعني مش
+
+261
+00:29:33,200 --> 00:29:38,560
+ممكن يكون أقل من أي رقم راه وإنما أقل لما ننزل
+
+262
+00:29:38,560 --> 00:29:42,340
+خلاص بدي يسوي مين بدي يسوي واحد فيهم يبقى هذا مين
+
+263
+00:29:42,340 --> 00:29:47,000
+الـ least common multiple في ملاحظة بدنا نقولها لك
+
+264
+00:29:47,000 --> 00:29:50,460
+هنا ضرورة تكون ملمّق بها remark
+
+265
+00:29:52,920 --> 00:29:57,940
+أنا عندي رقمين يا شباب ممكن أجيب الـ list common
+
+266
+00:29:57,940 --> 00:30:02,400
+multiple وممكن أجيب الـ greatest common divisor لهم
+
+267
+00:30:02,400 --> 00:30:09,020
+لو ضربت الاتنين في بعض باطيني حصل ضربة الرقمين يبقى
+
+268
+00:30:09,020 --> 00:30:13,730
+هنا باجي بقول الملاحظة دي بتقول the greatest common
+
+269
+00:30:13,730 --> 00:30:18,730
+divisor للـ A والـ B مضروبة في الـ least common
+
+270
+00:30:18,730 --> 00:30:25,350
+multiple للـ A والـ B بدي يسوي حاصل ضرب الـ A في الـ B
+
+271
+00:30:25,350 --> 00:30:26,830
+for example
+
+272
+00:30:31,240 --> 00:30:35,420
+لو بدنا نعطي مثالين أو مثال على الكلام اللي احنا 
+
+273
+00:30:35,420 --> 00:30:41,580
+بقوله بدنا نيجي ناخد أي رقمين a و b فمثلا لو بدي
+
+274
+00:30:41,580 --> 00:30:46,940
+the greatest common divisor لما نختار اللي بدنا المرة
+
+275
+00:30:46,940 --> 00:30:53,100
+فيه كده خدناها مثلا خليها 12 و 10 هذه اللي عندنا
+
+276
+00:30:53,100 --> 00:31:00,590
+هي عشرة و اثنا عشر اسم الاتنين اللي هو الواحد و
+
+277
+00:31:00,590 --> 00:31:04,730
+اثنين في غيرهم لأ يبقى الـ greatest common
+
+278
+00:31:04,730 --> 00:31:09,610
+divisor قداش بيكون اثنين يبقى هذا الكلام بده يساوي
+
+279
+00:31:09,610 --> 00:31:17,790
+اثنين andالـ least common multiple للعشرة والاثنا عشر هي 
+
+280
+00:31:17,790 --> 00:31:24,090
+قلنا قداش ستين يبقى أنا بروح اضرب the greatest common
+
+281
+00:31:24,090 --> 00:31:30,310
+divisor للعشرة والاثنا عشر ضرب الـ least common
+
+282
+00:31:30,310 --> 00:31:35,660
+multiple للعشرة والاثنا عشر اللي هي الـ greatest common
+
+283
+00:31:35,660 --> 00:31:40,920
+divisor قداش اثنين والـ least common multiple هو
+
+284
+00:31:40,920 --> 00:31:48,640
+قداش ستين قداش الناتج مية وعشرين مية وعشرين هي حصل
+
+285
+00:31:48,640 --> 00:31:55,530
+ضرب عشرة في اثنا عشر يبقى هذه تساوي حاصل ضرب العشرة في
+
+286
+00:31:55,530 --> 00:32:00,530
+الاثنا عشر يبقى أي رقمين تاخدهم الـ least common
+
+287
+00:32:00,530 --> 00:32:02,970
+multiple أو ضربه في الـ greatest least common
+
+288
+00:32:02,970 --> 00:32:07,230
+divisor بيعطيك حاصل ضرب الرقمين هذه في الكتاب
+
+289
+00:32:07,230 --> 00:32:11,620
+موجودة عندك على شكل سؤال لكن أنا بدأت أخدها قاعدة
+
+290
+00:32:11,620 --> 00:32:17,700
+يمكن تلزمني قدام وستلزم إن شاء الله في بعض مسائل
+
+291
+00:32:17,700 --> 00:32:22,820
+الجبر قدام ومن هنا أعطيتلك carry mark وليس كسؤال
+
+292
+00:32:22,820 --> 00:32:29,480
+حتى نستخدمها متى لازم الأمر يبقى بدنا نيجي للنقطة
+
+293
+00:32:29,480 --> 00:32:33,060
+الثانية من هذا الـ section كل حكينا في اللي فات كله
+
+294
+00:32:33,060 --> 00:32:37,880
+حول الـ integers بدنا نيجي لحاجة اسمها modular
+
+295
+00:32:51,930 --> 00:32:59,810
+arithmetic نعطي definition let
+
+296
+00:32:59,810 --> 00:33:03,430
+n 
+
+297
+00:33:03,430 --> 00:33:07,950
+be a fixed positive
+
+298
+00:33:18,660 --> 00:33:28,100
+integer for any integers a
+
+299
+00:33:28,100 --> 00:33:33,460
+and b for
+
+300
+00:33:33,460 --> 00:33:38,620
+any integer a and b ال
+
+301
+00:33:38,620 --> 00:33:50,090
+a زائدي الـ b الـ a زائد الـ b modulo n modulo n is
+
+302
+00:33:50,090 --> 00:33:59,770
+the remainder is the remainder is upon dividing
+
+303
+00:33:59,770 --> 00:34:17,380
+upon dividing upon dividing a زائدي الـ V by N ال
+
+304
+00:34:17,380 --> 00:34:29,800
+A ضد B modulo N is the remainder upon dividing AB
+
+305
+00:34:29,800 --> 00:34:31,960
+by N
+
+306
+00:34:53,330 --> 00:34:56,790
+يبقى احنا رافعين عنوان modular arithmetic
+
+307
+00:34:56,790 --> 00:35:01,470
+arithmetic اللي هو علم الحساب modular الشغلات
+
+308
+00:35:01,470 --> 00:35:07,170
+الدورية لكن الترجمة الحقيقية بنقول الحساب باستخدام
+
+309
+00:35:07,170 --> 00:35:11,850
+المقاييس أنا بدي أخد مقياس معين و بدي أبدأ أجيب
+
+310
+00:35:11,850 --> 00:35:17,010
+النتائج اللي عندي هذه كلها بهذا المقياس يبقى الحساب
+
+311
+00:35:17,010 --> 00:35:22,390
+باستخدام المقاييس نعطي تعريف لـ modular arithmetic
+
+312
+00:35:23,020 --> 00:35:29,020
+يقول افترض أن عدد موجب وهذا عدد ثابت موجب ثابت
+
+313
+00:35:29,020 --> 00:35:33,300
+ثبتنا
+
+314
+00:35:33,300 --> 00:35:37,860
+بنقول سمي هذا المقياس ثلاثة ماشي اثنين ماشي عشرة
+
+315
+00:35:37,860 --> 00:35:42,970
+عشرين خمسة عشر المقياس اللي بدك إياه تمام بقول for
+
+316
+00:35:42,970 --> 00:35:49,430
+any integers لأي رقمين a و b a زائد b modulo n ايش
+
+317
+00:35:49,430 --> 00:35:55,090
+معناها معناها is the remainder الباقي upon
+
+318
+00:35:55,090 --> 00:36:02,330
+dividing نتيجة لقسمة a زائد b by m يعني كيف يعني
+
+319
+00:36:02,330 --> 00:36:07,120
+أنا باجي بجمع العددين a و b بيطلع رقم كبير يعني
+
+320
+00:36:07,120 --> 00:36:14,240
+افترض هذا الـ N أخدها بعشرة وأخد الـ A و الـ B واحد
+
+321
+00:36:14,240 --> 00:36:19,180
+سبعة و واحد تسعة سبعة و تسعة كده؟ ستة عشر مديل و
+
+322
+00:36:19,180 --> 00:36:24,040
+عشرة يعني بتهمل العشرة و بتاخد اللي بيظل كدهش بيظل
+
+323
+00:36:24,040 --> 00:36:24,360
+ستة
+
+324
+00:36:29,050 --> 00:36:34,470
+يبقى التسعة زي الثمانية modulo عشرة هو عبارة عن الـ
+
+325
+00:36:34,470 --> 00:36:38,950
+remainder اللي هو ستة يعني اهم للعشرات زي ما أقول
+
+326
+00:36:38,950 --> 00:36:45,920
+عندي ألف درجة يبقى بدي احمل كل 360 واخد من اللي
+
+327
+00:36:45,920 --> 00:36:49,980
+بيظل عندنا تبقى هذه تساوي الزاوية الحقيقية هذه
+
+328
+00:36:49,980 --> 00:36:56,760
+يبقى هذا المقياس لكن لو كان الرقم اللي عندي بيقسم
+
+329
+00:36:56,760 --> 00:37:03,700
+على هذا المقياس الـ remainder قداش؟ قداش؟ Zero تمام
+
+330
+00:37:03,700 --> 00:37:11,980
+يبقى مثلا لو جيت قلت لك هنا 6 modulo 2 ستة modulo
+
+331
+00:37:11,980 --> 00:37:17,460
+اثنين يبقى أنا أخدت المقياس قداش اثنين الستة بتقسم
+
+332
+00:37:17,460 --> 00:37:22,260
+على اثنين ولا لا ستة بتقسم على اثنين صحيح ولا لا
+
+333
+00:37:22,260 --> 00:37:27,820
+يبقى قداش الناتج هنا بده يكون بده يكون zero يعني يا
+
+334
+00:37:27,820 --> 00:37:34,080
+شباب لما أقول لك الـ remainder بقول له because الستة
+
+335
+00:37:34,080 --> 00:37:40,060
+هذه يساوي اثنين عندنا مضروبة في ثلاثة زائد zero ليش
+
+336
+00:37:40,060 --> 00:37:42,800
+هنا بيجينا نقول المرة اللي فاتت في الـ division
+
+337
+00:37:42,800 --> 00:37:48,520
+algorithm أي رقم هنا بقدر أكتبه بدلالة الرقم هذا
+
+338
+00:37:48,520 --> 00:37:53,800
+زائد R الـ R هذا أكبر من أو يساوي Zero وأقل من أو
+
+339
+00:37:53,800 --> 00:37:59,240
+يساوي من اثنين يبقى الـ remainder هنا بقداش بـ Zero
+
+340
+00:37:59,240 --> 00:38:06,400
+طيب لو جيت قلت لك على سبيل المثال هنا عشرة مثلا
+
+341
+00:38:06,400 --> 00:38:13,330
+modulo ثلاثة واحد تمام كل الثلاثات بدي احملها ثلاثة
+
+342
+00:38:13,330 --> 00:38:19,310
+ثلاثات بتسعة بيظل قد ايش واحد شو السبب لإن العشرة
+
+343
+00:38:19,310 --> 00:38:24,750
+بدها تساوي ثلاثة مضروبة في ثلاثة زائد من واحد يبقى
+
+344
+00:38:24,750 --> 00:38:29,310
+الـ remainder واحد لما أقول عشرة مديله ثلاثة
+
+345
+00:38:29,310 --> 00:38:33,510
+يساوي الواحد اللي عندنا لإن الـ remainder هنا يساوي
+
+346
+00:38:33,510 --> 00:38:40,270
+قد ايش واحد طيب يا شباب لما أقول نقص ثلاثة modulo
+
+347
+00:38:40,270 --> 00:38:45,370
+سبعة كيف
+
+348
+00:38:45,370 --> 00:38:53,020
+أسوي بكل بساطة ضيف للـ سالب ثلاثة سبعة اللي هو مقدار
+
+349
+00:38:53,020 --> 00:38:57,340
+المقياس سالب ثلاثة سبعة بيظل قد ايش أربعة يبقى
+
+350
+00:38:57,340 --> 00:39:04,720
+النتيجة تساوي أربعة بكوز سالب ثلاثة يساوي سبعة في
+
+351
+00:39:04,720 --> 00:39:11,280
+أبصر قد ايش زائد الأربعة اللي طلعت عندنا هذه تمام
+
+352
+00:39:11,280 --> 00:39:17,100
+يبقى سبعة في قد ايش مشان يطلع أربعة سبعة في كام في
+
+353
+00:39:17,100 --> 00:39:21,500
+سالب واحد سالب سبعة زائد أربعة اللي هي سالب ثلاثة
+
+354
+00:39:21,500 --> 00:39:24,780
+يبقى الـ remainder اتفقنا المرة اللي فاتت قولنا
+
+355
+00:39:24,780 --> 00:39:30,320
+ممنوع يكون قيمة سالبة دائما وأبدا بناخده قيمة
+
+356
+00:39:30,320 --> 00:39:37,000
+موجبة وهكذا طيب لو جيت قلت لك هنا ستة زائد سبعة
+
+357
+00:39:37,000 --> 00:39:48,310
+modulo خمسة يساوي ستة و سبعة ثلاثة عشر modulo خمسة
+
+358
+00:39:48,310 --> 00:39:54,490
+يبقى النتيجة يساوي ثلاثة وهكذا طيب لو جيت قلت لك
+
+359
+00:39:54,490 --> 00:40:02,830
+ستة في سبعة modulo خمسة ستة في سبعة ستة في سبعة
+
+360
+00:40:02,830 --> 00:40:07,950
+بـ 42 شيل الخمسات من 42 بتطلع اثنين
+
+361
+00:40:07,950 --> 00:40:17,550
+يبقى هذه 42 modulo modulo خمسة ويساوي
+
+362
+00:40:17,550 --> 00:40:25,860
+قداش ويساوي اثنين طيب قد يكون الرقم اللي عندنا أقل
+
+363
+00:40:25,860 --> 00:40:32,380
+من المقياس أقل من المقياس يعني لما أنا أجي أقول لك
+
+364
+00:40:32,380 --> 00:40:40,500
+مثلا ثلاثة modulo ثمانية بتساوي ثلاثة على طول الخط
+
+365
+00:40:40,500 --> 00:40:46,120
+ثلاثة modulo ثمانية بتساوي ثلاثة كل رقم أصغر من
+
+366
+00:40:46,120 --> 00:40:51,180
+المقياس بيبقى المقياس فيه يعني واحد modulo ثمانية
+
+367
+00:40:51,180 --> 00:40:54,480
+بواحد اثنين modulo ثمانية بواحد خمسة modulo ثمانية
+
+368
+00:40:54,480 --> 00:41:00,960
+بخمسة ستة modulo ثمانية بستة سبعة modulo ثمانية طيب
+
+369
+00:41:00,960 --> 00:41:06,440
+ثمانية modulo ثمانية صفر صفر على طول الخطوة طيب
+
+370
+00:41:06,440 --> 00:41:11,620
+تسعة modulo ثمانية واحد وهكذا يبقى فهمنا عملية
+
+371
+00:41:11,620 --> 00:41:15,680
+الحسابات دي بالعادة كده very important هتلعب معانا
+
+372
+00:41:15,680 --> 00:41:19,100
+شغل كثير في علم الجبر تبعنا
+
+373
+00:41:39,200 --> 00:41:46,120
+ودي التعريف definition
+
+374
+00:41:46,120 --> 00:41:51,400
+let
+
+375
+00:41:51,400 --> 00:42:06,620
+الـ a والـ b والـ n be integers with n greater than
+
+376
+00:42:06,620 --> 00:42:26,500
+A modulo N يساوي B modulo N if they
+
+377
+00:42:26,500 --> 00:42:31,860
+have
+
+378
+00:42:31,860 --> 00:42:37,820
+the same remainder
+
+379
+00:42:40,440 --> 00:42:49,820
+if they have the same remainder upon dividing
+
+380
+00:42:49,820 --> 00:43:06,900
+نتيجة لقسمة each one of a and b by n نتيجة لقسمة
+
+381
+00:43:06,900 --> 00:43:09,920
+كل واحد فيهم by n
+
+382
+00:43:20,050 --> 00:43:25,130
+تعريف مرة ثانية بيقول لي في عندي ثلاثة أعداد صحيحة a
+
+383
+00:43:25,130 --> 00:43:30,490
+و b و n و ال n greater than zero يبقى هذا عدد موجب
+
+384
+00:43:30,490 --> 00:43:36,090
+دائماً و أبداً بيقول لي إذا أن ال a modulo n بتساوي
+
+385
+00:43:36,090 --> 00:43:42,230
+b modulo n شو معناها هذه؟ معناها أن لو قسمت ال a
+
+386
+00:43:42,230 --> 00:43:47,870
+على ال n بيظل ال remainder لو قسمت الـ b
+
+387
+00:43:47,870 --> 00:43:50,630
+على N بيبقى لـ remainder يبقى الـ remainder هنا
+
+388
+00:43:50,630 --> 00:43:54,270
+لازم يساوي الـ remainder اللي هنا بيقول if
+
+389
+00:43:54,270 --> 00:43:58,950
+they have the same remainder نفس الباقي نتيجة
+
+390
+00:43:58,950 --> 00:44:04,270
+لقسمة كل واحد من A وB بيبقى على N مثالاً و
+
+391
+00:44:04,270 --> 00:44:12,350
+ذلك لو جاي تقول لك مثلاً سبعة عشر modulo ستة قداش
+
+392
+00:44:12,350 --> 00:44:17,670
+بده يساوي هذا؟ خمسة، ستة وستة واثنا عشر من سبعة عشر
+
+393
+00:44:17,670 --> 00:44:19,150
+بيظل خمسة
+
+394
+00:44:21,240 --> 00:44:28,140
+لو جيت قلت لك مثلاً تسعة وعشرين modulo ستة برضه
+
+395
+00:44:28,140 --> 00:44:34,480
+خمسة يبقى بناء عليه ايش بقدر استنتج أن السبعة عشر
+
+396
+00:44:34,480 --> 00:44:41,550
+modulo ستة بتساوي تسعة وعشرين modulo ستة يبقى
+
+397
+00:44:41,550 --> 00:44:45,570
+هدول الرقمين بيساووا بعض يعني الرقمين بدي
+
+398
+00:44:45,570 --> 00:44:50,830
+يساوي مين بدي يساوي الرقمين نفسهم بدون تغيير
+
+399
+00:44:50,830 --> 00:44:55,090
+طيب في عندنا سؤال في الكتاب السؤال بدي أعطيه لك
+
+400
+00:44:55,090 --> 00:45:00,250
+كمثال سؤال رقم تسعة من الكتاب بدي أكتبه على شكل
+
+401
+00:45:00,250 --> 00:45:05,010
+example مربوط مع الكلام اللي احنا بنقوله هذا
+
+402
+00:45:05,010 --> 00:45:13,460
+السؤال تسعة من الكتاب بيقول لي if A and B are
+
+403
+00:45:13,460 --> 00:45:25,320
+integers أعداد صحيحة and N is a positive
+
+404
+00:45:25,320 --> 00:45:38,070
+integer positive integer prove that اثبت أن Proof
+
+405
+00:45:38,070 --> 00:45:48,130
+that A modulo N بدو
+
+406
+00:45:48,130 --> 00:45:59,270
+يساوي B modulo N if and only if N divides A
+
+407
+00:45:59,270 --> 00:46:00,310
+minus B
+
+408
+00:46:28,860 --> 00:46:35,040
+مرة ثانية بقول لي عندي رقمين a و b أعداد صحيحة ال
+
+409
+00:46:35,040 --> 00:46:40,540
+n هو positive integer قال لي اثبت لي أن ال a modulo
+
+410
+00:46:40,540 --> 00:46:44,620
+n بدو يساوي ال b modulo n يعني ال remainder تبع ال a
+
+411
+00:46:44,620 --> 00:46:48,300
+لما نجي نقسمه على n بساوي ال remainder تبع ال b لما
+
+412
+00:46:48,300 --> 00:46:52,000
+نجي نقسمه على n if and only if ال n تقسم الفرق ما
+
+413
+00:46:52,000 --> 00:46:57,480
+بين ال a و ال b if and only if تعني أن الحالة بدي
+
+414
+00:46:57,480 --> 00:47:02,990
+تحصل في اتجاهين بس لو if لحالها يبقى في اتجاه واحد
+
+415
+00:47:02,990 --> 00:47:06,430
+بدي نصير في اتجاه واحد يبقى if and only if كأن
+
+416
+00:47:06,430 --> 00:47:12,150
+المسألة عبارة عن مسألتين يبقى بناخد ال term الأول
+
+417
+00:47:12,150 --> 00:47:16,470
+كما أعطيته بنحاول نثبت ال term الثاني بعدين العملية
+
+418
+00:47:16,470 --> 00:47:20,470
+العكسية بناخد هذه كما أعطيته بنحاول نثبت تمام ال
+
+419
+00:47:20,470 --> 00:47:24,970
+term الأول يبقى بداجي أقول assume
+
+420
+00:47:27,060 --> 00:47:35,820
+that افترض أن ال a modulo n بده يساوي ال b modulo 
+
+421
+00:47:35,820 --> 00:47:45,980
+n طيب كويس من ال division algorithm ال a هذه يبقى
+
+422
+00:47:45,980 --> 00:47:54,750
+هذا بده يعطينا ما يأتي أن ال a والله خلينا نقول
+
+423
+00:47:54,750 --> 00:48:09,230
+there exist مثلاً q1 و r1 في z such that بحيث أن
+
+424
+00:48:10,850 --> 00:48:15,570
+والله جيبها مرة واحدة كلها بلاش نقعد نفصل فيها
+
+425
+00:48:15,570 --> 00:48:24,330
+أكثر يبقى there exist a q1 و q2 و r1 و r2 and z
+
+426
+00:48:24,330 --> 00:48:29,210
+such that ال
+
+427
+00:48:29,210 --> 00:48:43,290
+a بده يساوي q1n زائد r1 and طبعاً ال R1 هذه أكبر
+
+428
+00:48:43,290 --> 00:48:50,470
+من أو تساوي ال zero و أقل من مين n وفي نفس الوقت
+
+429
+00:48:50,470 --> 00:49:01,130
+ال B يبقى Q2N زائد R2 وR2 أكبر من أو تساوي 0 أقل
+
+430
+00:49:01,130 --> 00:49:08,810
+من ال N يبقى هذول كخوارزمية القسمة ايش الفرض اللي
+
+431
+00:49:08,810 --> 00:49:14,070
+عنده هنا بيقول افترض هذول بيساووا بعض يبقى معناته
+
+432
+00:49:14,070 --> 00:49:18,070
+ال remainder هنا بيساووا ال remainder هنا يعني ايش؟
+
+433
+00:49:18,390 --> 00:49:23,930
+r واحد تساوي r اثنين يبقى باجي بقوله بما أن
+
+434
+00:49:23,930 --> 00:49:34,310
+since ال a modulo n بده يساوي ال b modulo n we
+
+435
+00:49:34,310 --> 00:49:35,370
+have
+
+436
+00:49:42,050 --> 00:49:47,810
+يظهر أن ال n بتقسم ال a ناقص ال b إذا حاجة أطرح ال
+
+437
+00:49:47,810 --> 00:49:56,090
+a ناقص ال b يبقى بصير أن ال a ناقص ال b يساوي ال a
+
+438
+00:49:56,090 --> 00:50:08,980
+هو q1n زائد r1 الثانية يبقى ناقص Q2N ناقص R2 تمام
+
+439
+00:50:08,980 --> 00:50:18,620
+هذا الكلام بده يساوي Q1 ناقص Q2 كله في N زائد مش
+
+440
+00:50:18,620 --> 00:50:25,860
+R1 تساوي R2 صح ولا لأ يبقى هذه مع هذه الله سهل
+
+441
+00:50:25,860 --> 00:50:32,290
+عليها يبقى انتهينا هذه لأن أنا قلت R1 تساوي R2 هذه
+
+442
+00:50:32,290 --> 00:50:37,510
+موجبة و هذه سالبة مع السلامة و هدولة خدنا منهم ال N
+
+443
+00:50:37,510 --> 00:50:44,930
+عامل مشترك صار ال A ناقص ال B ال A ناقص ال B يساوي
+
+444
+00:50:44,930 --> 00:50:53,890
+Q1 ناقص Q2 كله في .. ايش تفسيرك لهذا أن ال N بيقسم
+
+445
+00:50:53,890 --> 00:51:01,480
+ال A minus ال B يبقى هذا معناه أن ال N divide ال A
+
+446
+00:51:01,480 --> 00:51:07,900
+ناقص ال B وهو المطلوب الأول الآن بدنا نمشي بالعكس
+
+447
+00:51:07,900 --> 00:51:13,440
+لما نمشي بالعكس بقوله conversely
+
+448
+00:51:13,440 --> 00:51:21,380
+يبقى conversely على العكس assume افترض أن ال N
+
+449
+00:51:21,380 --> 00:51:27,740
+divide ال A minus ال B وبدي أحاول اثبت أن ال a
+
+450
+00:51:27,740 --> 00:51:33,900
+modulo n بدو يساوي ال b modulo n يبقى هذا معناه ايه
+
+451
+00:51:33,900 --> 00:51:42,480
+أن ال a ناقص ال b بدو يساوي ال aq في n و ال aq موجودة
+
+452
+00:51:42,480 --> 00:51:51,230
+وين في z في remainder ما فيش remainder لأن هذه
+
+453
+00:51:51,230 --> 00:51:56,090
+بتقسمها يبقى ال remainder هذا كم بدو يساوي؟ Zero
+
+454
+00:51:56,090 --> 00:52:03,750
+يبقى هنا بقوله and ال R1 ناقص R2 بده يساوي Zero
+
+455
+00:52:03,750 --> 00:52:07,750
+لأن أنا طرحت اثنين من بعض يبقى الفرق ما بين ال two
+
+456
+00:52:07,750 --> 00:52:13,580
+remainders لأنه فرض الأول هو وهي الثاني إذا لما
+
+457
+00:52:13,580 --> 00:52:20,520
+انطرحوا بيصير R1 ناقص R2 يبقى ال R1 ناقص R2 بقداش
+
+458
+00:52:20,520 --> 00:52:27,640
+ب Zero هذا معناه ايه أن ال R1 بيساوي مين يعني ال
+
+459
+00:52:27,640 --> 00:52:32,720
+remainder للأول بيساوي ال remainder للثاني يبقى
+
+460
+00:52:32,720 --> 00:52:39,620
+هذا معناه أن ال A modulo N بده يساوي ال B modulo N
+
+461
+00:52:39,620 --> 00:52:44,480
+اللي هو ال remainder وهو المطلوب يبقى الاتجاه
+
+462
+00:52:44,480 --> 00:52:49,000
+الثاني أبسط من من الاتجاه الأول يعطيكم العافية
+
+463
+00:52:49,000 --> 00:52:52,340
+بنكمل إن شاء الله المرة القادمة
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/eNtIlTkhU3g_postprocess.srt b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/eNtIlTkhU3g_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..d766fc7bb38338760c8fd790943ba49e848942e2
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/eNtIlTkhU3g_postprocess.srt
@@ -0,0 +1,1852 @@
+1
+00:00:21,160 --> 00:00:25,200
+بسم الله الرحمن الرحيم اليوم ان شاء الله بنكمل ما
+
+2
+00:00:25,200 --> 00:00:30,420
+ابتدأناه في المحاضرة الماضية و هو اننا لازمنا في
+
+3
+00:00:30,420 --> 00:00:35,180
+chapter المقدمة اللازمة لل abstract algebra لهذا
+
+4
+00:00:35,180 --> 00:00:41,350
+الفصلفي المرة الماضية اتعرضنا لتقسيمات ال sets ال
+
+5
+00:00:41,350 --> 00:00:46,410
+natural numbers ال set of integers ال rational
+
+6
+00:00:46,410 --> 00:00:49,870
+numbers ال real numbers ال complex numbers ثم
+
+7
+00:00:49,870 --> 00:00:55,970
+اتعرضنا للقسمة و خوارزمية القسمة و ال primes اللي
+
+8
+00:00:55,970 --> 00:01:02,310
+هي من الأعداد الأولية و كذلك لمضاعفات الأشياءاليوم
+
+9
+00:01:02,310 --> 00:01:05,890
+ان شاء الله بدنا نبدأ في او طبعه هو ال regression
+
+10
+00:01:05,890 --> 00:01:10,510
+common divisor وكتابة اللي هو regression common
+
+11
+00:01:10,510 --> 00:01:15,490
+divisor على شكل linear combination من الرقمين
+
+12
+00:01:15,490 --> 00:01:18,930
+تبعات regression common divisor ل two elements a و
+
+13
+00:01:18,930 --> 00:01:24,230
+b بقولنا بإمكانكم كتابته على شكل a s زائد t في b
+
+14
+00:01:24,230 --> 00:01:30,230
+حيث ال s و t رقمين موجودين في set of integersبدنا
+
+15
+00:01:30,230 --> 00:01:39,270
+نيجي لان للمة اللي بتقول ما يأتي لما بيقول
+
+16
+00:01:39,270 --> 00:01:49,070
+if P is a prime if P is a prime لو كان P عدد أولي
+
+17
+00:01:49,070 --> 00:02:00,310
+and ال P divide حصل الضرب A في B thenال P بتقسم ال
+
+18
+00:02:00,310 --> 00:02:15,850
+A او ال P بتقسم ال B لما
+
+19
+00:02:15,850 --> 00:02:20,880
+بالعربي يا شباب يعني فرضية مساعدةزي و لا تشبيه
+
+20
+00:02:20,880 --> 00:02:25,180
+بقينا نقول في الهندسة زمان تمرين مشهور يبقى هذه ما
+
+21
+00:02:25,180 --> 00:02:31,240
+نسميها فرضية مساعدة الترجمة العربية لكلمة لمّة بس
+
+22
+00:02:31,240 --> 00:02:36,100
+احنا أنا في العربي في لمّة و ليس لمّة سمعتوا فيها
+
+23
+00:02:36,100 --> 00:02:41,400
+لمّة في اللغة العربية موجودة في آية من القرآن
+
+24
+00:02:41,400 --> 00:02:44,540
+الكريم حد بعرفلي هذه الآية
+
+25
+00:02:48,770 --> 00:02:54,810
+لأ مش ولما أنا بقول لك لما فقط بدون واحد في صورة
+
+26
+00:02:54,810 --> 00:03:02,150
+ايش في صورة ايش الحجرات لأ يا راجل تاجي الله
+
+27
+00:03:02,150 --> 00:03:10,830
+وتأكلون التراث أكل اللما في الفجر ممتاز جدا طيب
+
+28
+00:03:10,830 --> 00:03:16,460
+ايش معنى لما هنا في اللغة العربيةو تأكلون التراث
+
+29
+00:03:16,460 --> 00:03:18,020
+أكل اللمّا
+
+30
+00:03:28,940 --> 00:03:33,400
+يعني بهذا المعنى قريبا هو تأكلون التراث أكلا لما
+
+31
+00:03:33,400 --> 00:03:38,440
+التراث المقصود به هو الميراث فبعض الوراثة بروح
+
+32
+00:03:38,440 --> 00:03:42,860
+بستاسر بروح اه بروح على الطاب و بسجل الميراث كله
+
+33
+00:03:42,860 --> 00:03:45,880
+باسمه و بحرم مين بحرم الباقي
+
+34
+00:04:00,840 --> 00:04:05,380
+يبقى لما يقول ف ال P is a prime لو كان ال P عددا
+
+35
+00:04:05,380 --> 00:04:11,850
+اولياوالـ P بيقسم حصلت ضرب A في B يبقى P في هذه
+
+36
+00:04:11,850 --> 00:04:17,650
+الحالة إما أن يقسم ال A وإما أن يقسم ال B واحدة
+
+37
+00:04:17,650 --> 00:04:22,170
+منهم مش التنتين في آن واحد نروح نثبت صحة هذا
+
+38
+00:04:22,170 --> 00:04:30,410
+الكلام يبقى بالداجي أقوله assume افترض ان ال P is
+
+39
+00:04:30,410 --> 00:04:40,910
+primeand ال P divide ال A بي هذا المعطيات ايش
+
+40
+00:04:40,910 --> 00:04:46,710
+بيقولي يبقى بيقول ال P يبدأ تقسم ال A يبدأ تقسم ال
+
+41
+00:04:46,710 --> 00:04:52,270
+B يبقى انا بدأ افترض انها مثلا لا تقسم ال A واروح
+
+42
+00:04:52,270 --> 00:05:00,380
+اثبت انها تقسم ال B يبقى هنا بدأجي اقول letالـP
+
+43
+00:05:00,380 --> 00:05:07,500
+بتقسم الـA لا تقسم الـA مثلا يبقى شو بدنا نعمل one
+
+44
+00:05:07,500 --> 00:05:14,700
+to show بدنا نروح نبين ان الـP بتقسم الـB هذا اللي
+
+45
+00:05:14,700 --> 00:05:22,480
+عايزين نثبته الآن بجي بقوله since بما ان الـP لا
+
+46
+00:05:22,480 --> 00:05:24,080
+تقسم الـA
+
+47
+00:05:26,430 --> 00:05:32,090
+إذا شو العلاقة بين ال P و ال A اتنين ال Primes
+
+48
+00:05:32,090 --> 00:05:37,590
+والله Relatively Primes Relatively Primes تمام
+
+49
+00:05:37,590 --> 00:05:49,830
+تمام يبقى since then ال A and ال P are Relatively
+
+50
+00:05:49,830 --> 00:05:52,490
+Primes
+
+51
+00:05:54,370 --> 00:05:57,890
+طيب كويس يبقى كده ال agressives common divisors ما
+
+52
+00:05:57,890 --> 00:06:04,070
+بين الاتنين واحد صحيح يبقى relatively a prime هذا
+
+53
+00:06:04,070 --> 00:06:09,470
+بده يعطينا لل agressives common divisors لمن لل a
+
+54
+00:06:09,470 --> 00:06:16,050
+و ال p بده يساوي كده؟ واحد صحيحأخر حاجة في محاضرة
+
+55
+00:06:16,050 --> 00:06:19,970
+المرة الماضية قلنا لـgressus common divisor بقدر
+
+56
+00:06:19,970 --> 00:06:24,430
+اكتبه على صيغة linear combination من ال a و ال p
+
+57
+00:06:24,430 --> 00:06:34,870
+مظبوط يبقى هدف يتطلب ان هناك s و t موجودة في z
+
+58
+00:06:34,870 --> 00:06:45,620
+integers such that بحيث انالـ A S زائد ال P T كله
+
+59
+00:06:45,620 --> 00:06:49,800
+بده يساوي مين؟ بده يساوي واحد، صحيح طب احنا ايش
+
+60
+00:06:49,800 --> 00:06:57,020
+بدنا نثبت؟ احنا بدنا نثبت ان P تقسم ال B، تمام؟
+
+61
+00:06:57,020 --> 00:07:02,440
+اذا هذه المعادلة بقدر اخلق فيها ال B في شجة صحيح
+
+62
+00:07:02,440 --> 00:07:05,980
+ولا لأ؟ كيف أسوي في المعادلة ده مش خلّي اخلي هنا
+
+63
+00:07:05,980 --> 00:07:12,140
+P، شو بنعمل؟عندى معادلة بدى اخلها بدل واحد بيهيش
+
+64
+00:07:12,140 --> 00:07:18,680
+اعمل نضرب الطرفين في بي يبقى لو ضربنا في بي هذه
+
+65
+00:07:18,680 --> 00:07:27,300
+المعادلة بتصير abs زائد bt في ال b بده يسوى ال b
+
+66
+00:07:28,940 --> 00:07:32,180
+يبقى الـlinear combination تبع الأجرسيس كومون
+
+67
+00:07:32,180 --> 00:07:36,260
+ديفاز واضدربتها في P ليش؟ مشان أخلق في الطرف
+
+68
+00:07:36,260 --> 00:07:42,320
+اليمين P الآن، شو اللي مطلوب؟ بدي أثبت أن P بتقسم
+
+69
+00:07:42,320 --> 00:07:48,100
+بي لو ال P قسمت الطرف الشمال، إذن automatic هتقسم
+
+70
+00:07:48,100 --> 00:07:51,760
+الطرف اليمين صحيح ولا لأ؟ لأن الطرفين هدول are
+
+71
+00:07:51,760 --> 00:07:57,540
+equal، اتنين متساوية الآن السؤال هوهل P بتقسم هذا
+
+72
+00:07:57,540 --> 00:08:03,660
+ال term الصغير هذا؟ اه مُعطى معانا ان P بتقسم ال A
+
+73
+00:08:03,660 --> 00:08:07,760
+في B يبقى بتقسم ال A في ال B في ال S يبقى باجي
+
+74
+00:08:07,760 --> 00:08:16,040
+بقوله since بما ان ال P بتقسم ال A في ال B we have
+
+75
+00:08:16,040 --> 00:08:24,830
+ان ال P بتقسم ال A بي في ال S اللي عندنا هذاطيب
+
+76
+00:08:24,830 --> 00:08:29,870
+الان P بتقسم هذا كمان ولا لأ؟ لأنه هي يبقى بتقسم
+
+77
+00:08:29,870 --> 00:08:39,490
+ال term هذا يبقى باجي بقوله and ال P بتقسم ال PTP
+
+78
+00:08:40,520 --> 00:08:47,000
+هذا معناه ايش ان ال P بتقسم مجموع لاتنين يبقى
+
+79
+00:08:47,000 --> 00:08:57,360
+بتقسم ال A B S زائد ال P T B مدام بتقسم لاتنين
+
+80
+00:08:57,360 --> 00:09:02,840
+هدول معناته بتقسمين بتقسم ال P اللي بيسويهم هذا
+
+81
+00:09:02,840 --> 00:09:08,320
+بده يعطينا ان P بتقسم ال P وهو المطلوب
+
+82
+00:09:11,000 --> 00:09:15,400
+مرة تانية بقول طبعا هدا هو الشغل اللي بنبره هنا
+
+83
+00:09:15,400 --> 00:09:20,660
+وشغل بسيط لسه ماخش هناش في التقيل بيقول ايه لو كان
+
+84
+00:09:20,660 --> 00:09:25,900
+P prime و ال P بتقسم ال A في B يبقى ال P يا بدها
+
+85
+00:09:25,900 --> 00:09:30,580
+تقسم الرقم الأول يا بدها تقسم الرقم الثاني و طبعا
+
+86
+00:09:30,580 --> 00:09:36,290
+اتنين two integers مش real numberيبقى اما P بتقسم
+
+87
+00:09:36,290 --> 00:09:41,330
+ال A يبقى P بتقسم ال B يبقى فرضنا P prime وP تقسم
+
+88
+00:09:41,330 --> 00:09:46,910
+ال A في B بدي افترض ان P لا تقسم ال A و احاول اثبت
+
+89
+00:09:46,910 --> 00:09:52,090
+ان P بتقسم ال B او العكسيان هذين او هذين او هذين
+
+90
+00:09:52,090 --> 00:09:53,250
+او هذين او هذين او هذين او هذين او هذين او هذين او
+
+91
+00:09:53,250 --> 00:10:00,240
+هذين او هذين او هذين او هذين او هذين او هذينمدام
+
+92
+00:10:00,240 --> 00:10:05,020
+relatively prime يبقى ال graces common divisor بده
+
+93
+00:10:05,020 --> 00:10:09,600
+يساوي قداش واحد اخر حاجة كتبناها المرة الماضية انه
+
+94
+00:10:09,600 --> 00:10:13,300
+ل graces common divisor بقدر اكتب على صيغة linear
+
+95
+00:10:13,300 --> 00:10:17,760
+combination من الرقمين اللي عندنا يبقى there
+
+96
+00:10:17,760 --> 00:10:23,320
+exists S وT في Z بحيث ان ال AS زائد BT بده يساوي
+
+97
+00:10:23,320 --> 00:10:27,980
+قداش واحد صحيحالمعادلة هذه كلها بدى ضربها فى الرقم
+
+98
+00:10:27,980 --> 00:10:32,760
+بى اللى انا بدى اثبت انه P بتقسمه يبقى لو ضربناه
+
+99
+00:10:32,760 --> 00:10:37,680
+فى بيصير عندى A B S زايد B T B بدى يساوي من بى
+
+100
+00:10:37,680 --> 00:10:43,950
+الان ال P بتقسم ال A فى B هذا معطىإذا ال P بتقسم
+
+101
+00:10:43,950 --> 00:10:50,930
+الرقم هذا كله اتنين ال P بتقسم ال P تي بي معناته
+
+102
+00:10:50,930 --> 00:10:55,670
+ال P بتقسم مجموعة الإتنين مدام تقسم مجموعة الإتنين
+
+103
+00:10:55,670 --> 00:11:02,810
+إذا بتقسم بي وهو المطلوب طب السؤال هو لو P ماكنش
+
+104
+00:11:02,810 --> 00:11:10,480
+prime هل اللمة هذه بتظل صحيحة أم لا هذا تساؤلفي
+
+105
+00:11:10,480 --> 00:11:14,760
+الشمكانية في الشمكانية يبقى ضروري لازم يكون P
+
+106
+00:11:14,760 --> 00:11:21,000
+Prime طبعا هعطيك مثال على كل منها الان لو جينا
+
+107
+00:11:21,000 --> 00:11:26,420
+قولنا خدلي الملاحظة هذه اللي احنا سألناكوا ياها
+
+108
+00:11:26,420 --> 00:11:31,620
+فبعدين بقول note if
+
+109
+00:11:31,620 --> 00:11:47,010
+ال P is not a primeلو ماكنش prime ليه above لما
+
+110
+00:11:47,010 --> 00:12:00,030
+false يبقى هذه ماهياش صحيحة for example for
+
+111
+00:12:00,030 --> 00:12:01,830
+example
+
+112
+00:12:04,510 --> 00:12:12,290
+الست بتقسم الأربعة ضرب تلاتة مظبوط أربعة في تلاتة
+
+113
+00:12:12,290 --> 00:12:21,650
+باطماشي ستة بتقسم اتناشي but الست لا تقسم الأربعةو
+
+114
+00:12:21,650 --> 00:12:31,470
+كذلك ال 6 لا تقسم ال 3 لماذا؟ لأن ال 6 ليس أمامي
+
+115
+00:12:31,470 --> 00:12:43,590
+يبقى هنا لأن ال 6 ليس أمامي يبقى
+
+116
+00:12:43,590 --> 00:12:50,890
+ضروري جدا لكي تقسم واحد منهم لازم تكون P عند أمامي
+
+117
+00:12:51,390 --> 00:12:55,850
+مثلا but الخمسة
+
+118
+00:12:55,850 --> 00:13:03,110
+device اتنين في عشرة مظبوط هكذا؟ اتنين في عشرة انا
+
+119
+00:13:03,110 --> 00:13:10,970
+ماقدرش عشرين الخمسة بتقسم العشرين هنا but
+
+120
+00:13:10,970 --> 00:13:17,750
+ولكن الخمسة لا تقسم اتنينبتقسمش اتنين لكن الخمسة
+
+121
+00:13:17,750 --> 00:13:24,250
+بتقسم من؟ بتقسم العشرة يبقى part and الخمسة divide
+
+122
+00:13:24,250 --> 00:13:29,830
+العشرة ليش؟ لأن الخمسة is prime يبقى بقدر اقوله
+
+123
+00:13:29,830 --> 00:13:38,890
+هنا because ان الخمسة هذه is primeيبقى لو كانت الـ
+
+124
+00:13:38,890 --> 00:13:44,250
+prime بتقسم أحدهما لو ماكنتش الـ prime يبقى بصير
+
+125
+00:13:44,250 --> 00:13:48,510
+اللمة اللي عندي ماهياش صحيحة لا يمكن أن تقسم أيا
+
+126
+00:13:48,510 --> 00:13:55,350
+منهما ابنجي لنظرية النظرية هذه هي ال fundamental
+
+127
+00:13:55,350 --> 00:13:59,570
+theorem of arithmetic fundamental
+
+128
+00:14:07,260 --> 00:14:12,800
+fundamental theorem of
+
+129
+00:14:12,800 --> 00:14:27,020
+arithmetic بتقول
+
+130
+00:14:27,020 --> 00:14:38,650
+معناتي every integer every integer a greaterthan
+
+131
+00:14:38,650 --> 00:14:51,790
+one أكبر من الواحد is a prime or a
+
+132
+00:14:51,790 --> 00:14:56,370
+product of
+
+133
+00:14:56,370 --> 00:15:00,830
+primes that is
+
+134
+00:15:05,140 --> 00:15:16,880
+I am any integer a greater than one can be
+
+135
+00:15:16,880 --> 00:15:23,900
+factored ممكن
+
+136
+00:15:23,900 --> 00:15:31,880
+تابته على شكل عوامل uniquely as
+
+137
+00:15:31,880 --> 00:15:32,700
+a product
+
+138
+00:15:40,530 --> 00:15:46,590
+as a product of primes
+
+139
+00:15:46,590 --> 00:15:52,450
+as product
+
+140
+00:15:52,450 --> 00:16:01,890
+of a prime in the form الشكل
+
+141
+00:16:01,890 --> 00:16:11,070
+التالي ال A سواء P1 أص Alpha 1 في P2بص alpha two
+
+142
+00:16:11,070 --> 00:16:23,050
+ونظل ماشيين لغاية P in بص alpha in where حيثهم ال
+
+143
+00:16:23,050 --> 00:16:34,590
+P واحد أقل من P اتنين أقل أقل من P in and the
+
+144
+00:16:34,590 --> 00:16:37,410
+exponents
+
+145
+00:16:41,710 --> 00:16:49,950
+الألفة واحد والألفة اتنين و لغاية الألفة in R
+
+146
+00:17:40,000 --> 00:17:47,700
+بالبلد هيك قبل ما نقرأ الناس اي عدد صحيح عندك هنا
+
+147
+00:17:47,700 --> 00:17:52,360
+بقول every integer greater than one يبقى اي عدد
+
+148
+00:17:52,360 --> 00:17:58,300
+صحيح اكبر من الواحدة الصحية بقدر اكتبه على صيغة
+
+149
+00:17:58,300 --> 00:18:05,600
+حاصل ضرب اعداد اوليةيبقى يابا كتب على شكل prime
+
+150
+00:18:05,600 --> 00:18:11,500
+واحد يا إما حاصل ضرب primes الـprimes هدول قد يكون
+
+151
+00:18:11,500 --> 00:18:15,600
+الأس تبع واحد وقد يكون الأس اتنين تلاتة اربع عشرة
+
+152
+00:18:15,600 --> 00:18:20,420
+جد ما يكون تختلف من الرقم الاخريبقى بيقول أي عدد
+
+153
+00:18:20,420 --> 00:18:24,260
+صحية اكبر من الواحد يعني موجب و اكبر من الواحد
+
+154
+00:18:24,260 --> 00:18:28,960
+الصحية يا بيكون prime يا اما products of a prime
+
+155
+00:18:28,960 --> 00:18:35,280
+يبقى يا حاصل ضرب اعداد اولية السطر هذا بدنا نعيد
+
+156
+00:18:35,280 --> 00:18:40,410
+صياغته من جديديبقى لما نقل صيغة 8 يقول that is أي
+
+157
+00:18:40,410 --> 00:18:45,230
+أن اي integer a مثلا greater than one can be
+
+158
+00:18:45,230 --> 00:18:50,810
+factored عوامل يعني بقدر اكتب على شكل عوامل
+
+159
+00:18:50,810 --> 00:18:57,570
+uniquely بطريقة وحيدة فقط لا غير as a product of a
+
+160
+00:18:57,570 --> 00:19:02,990
+prime كحاصل ضرب a prime in the form a يسوى P1 α1
+
+161
+00:19:02,990 --> 00:19:09,920
+P2 α2 مضرب في PN αNالـ P1 والـ P2 والـ PN كلهم الـ
+
+162
+00:19:09,920 --> 00:19:14,800
+Primes وبدي أدرج من الأصغر للأكبر يعني مين أصغر
+
+163
+00:19:14,800 --> 00:19:19,910
+الـ Prime عندى؟ اتنين اللي بعده .. اللي بعدهاللي
+
+164
+00:19:19,910 --> 00:19:24,670
+بعده وهكذا بده يظل ماشي هذا ال prime حُطها للأسس
+
+165
+00:19:24,670 --> 00:19:30,310
+اللي بدكيها حسب طبيعة الرقم اللي موجود عندك بيقول
+
+166
+00:19:30,310 --> 00:19:34,730
+حيث ال P1 أقل من P2 أقل من PN والأسس هذه ال
+
+167
+00:19:34,730 --> 00:19:39,750
+exponents الأسس Alpha 1 و Alpha 2 كلهم بالموجة
+
+168
+00:19:39,750 --> 00:19:45,780
+نبدأ ناخد مثلا أمثلة السابعةيبقى هذا prime لحاله
+
+169
+00:19:45,780 --> 00:19:52,300
+محل لو خلص فيش غيره طيب لو جيت قولت عشرين عشرين
+
+170
+00:19:52,300 --> 00:19:56,660
+اللي هي أربعة في خمسة تمام أربعة اللي هي اتنين
+
+171
+00:19:56,660 --> 00:20:02,760
+ترابيع في خمسة اللي هي اتنين prime والخمسة أس واحد
+
+172
+00:20:02,760 --> 00:20:07,680
+واتنين أس اتنين يبقى Alpha واحد باتنين وAlpha
+
+173
+00:20:07,680 --> 00:20:12,640
+اتنين بقداش بواحد يعني هنا لو جيت قولت for example
+
+174
+00:20:13,750 --> 00:20:20,090
+for example لو
+
+175
+00:20:20,090 --> 00:20:25,810
+جيت قلت عشرين عشرين تساوي أربعة في خمسة يساوي
+
+176
+00:20:25,810 --> 00:20:30,830
+اتنين تربيع في خمسة اطلع الاتنين ال prime والخمسة
+
+177
+00:20:30,830 --> 00:20:35,310
+ال prime الاتنين الأصغر والخمسة أكبر منه طبقا ل ال
+
+178
+00:20:35,310 --> 00:20:40,730
+conditional والأسس اللي عندنا هذه موجبة طيب لو جيت
+
+179
+00:20:40,730 --> 00:20:43,550
+قلت على سبيل المثال ستين
+
+180
+00:20:49,240 --> 00:20:59,130
+أربعة في خمستاش بستين يعني أربعة في خمستاشطب
+
+181
+00:20:59,130 --> 00:21:04,110
+الأربعة هذه عبارة عن اتنين تربية و الخمستاشر تلاتة
+
+182
+00:21:04,110 --> 00:21:10,570
+في خمسة يبقى تلاتة كذلك في خمسة يبقى اتنين تربية
+
+183
+00:21:10,570 --> 00:21:15,050
+تلاتة في خمسة اتنين ا prime و التلاتة prime و
+
+184
+00:21:15,050 --> 00:21:19,510
+الخمسة prime و الأسس اتنين واحد واحد عادي جدا لو
+
+185
+00:21:19,510 --> 00:21:24,370
+جيتي قولتلك مش ستين كبرها كتير مثلا تلاتمية و ستين
+
+186
+00:21:26,060 --> 00:21:31,920
+تلاتمية و ستين اللي هي عبارة عن تمانية في خمسة و
+
+187
+00:21:31,920 --> 00:21:37,210
+اربعينمظبوط ولا لا؟ يبقى خمسة واربعين وخمسة
+
+188
+00:21:37,210 --> 00:21:42,570
+واربعين تسعين في أربع مظبوط إذا خمسة واربعين في
+
+189
+00:21:42,570 --> 00:21:49,210
+تمانية التمانية هذه عبارة عن اتنين تكعيب الخمسة
+
+190
+00:21:49,210 --> 00:21:54,170
+واربعين اللي عبارة عن تسعة في خمسة هذه اللي بقدر
+
+191
+00:21:54,170 --> 00:22:01,030
+اكتبها اتنين تكعيب في تلاتة تربية في خمسةلاحظ
+
+192
+00:22:01,030 --> 00:22:08,010
+الـPrice مرتبة 2 3 5 والأسس 3 2 1 عادي جدا ماعناش
+
+193
+00:22:08,010 --> 00:22:12,810
+مشكلة يبقى كل الـAlpha اللي عند هدول الـPrimes كل
+
+194
+00:22:12,810 --> 00:22:20,170
+الـAlpha عبارة عن الأسس موجبة والـP مرتبة P1 P2 P3
+
+195
+00:22:20,170 --> 00:22:24,310
+زي ما أحنا شايفين و هكذايبقى اي عدد يجي في بالك ان
+
+196
+00:22:24,310 --> 00:22:28,910
+شاء الله يكون الف وان شاء الله يكون خمسين الف جدا
+
+197
+00:22:28,910 --> 00:22:32,770
+الرقم اللي يجي في بالك بتقدر تكتبه كله على حاصل
+
+198
+00:22:32,770 --> 00:22:36,330
+ضرباش ال price مخدها بالتدريج يعني انا بقدرش اشوف
+
+199
+00:22:36,330 --> 00:22:40,730
+اكم اتنين فيها اكم تلاتة فيها اكم خمسة اكم سبعة
+
+200
+00:22:40,730 --> 00:22:46,990
+الى اخرين تمام؟ يبقى هذا المقصود بهذا نجي لتعريف
+
+201
+00:22:46,990 --> 00:22:51,870
+جديد حاجة اسمه المضاعف المشترك الأصغرهذا اللي بيجي
+
+202
+00:22:51,870 --> 00:22:57,110
+ناخده لما نوحد المقامات في المرحلة الابتدائية و
+
+203
+00:22:57,110 --> 00:23:01,270
+الاعدادية مش خدناه هذا لما يكون عندك رقامين أو
+
+204
+00:23:01,270 --> 00:23:05,070
+كاسرين بيبقى توحد المقامات و تشوف القاسرين قد إيش
+
+205
+00:23:05,070 --> 00:23:08,970
+بتساوي يبقى هنعطي التعريف التالي اللي هو
+
+206
+00:23:08,970 --> 00:23:15,950
+definition the least common multiple the least
+
+207
+00:23:15,950 --> 00:23:19,790
+common multiple
+
+208
+00:23:22,680 --> 00:23:29,420
+least common multiple of two
+
+209
+00:23:29,420 --> 00:23:41,200
+non-zero integers a and b
+
+210
+00:23:41,200 --> 00:23:44,720
+is the smallest
+
+211
+00:23:51,050 --> 00:23:58,930
+positive integer positive
+
+212
+00:23:58,930 --> 00:24:12,090
+integer that is multiple of
+
+213
+00:24:12,090 --> 00:24:19,270
+both a and b
+
+214
+00:24:23,210 --> 00:24:35,310
+we do not add by least common multiple لل a والb
+
+215
+00:24:54,470 --> 00:25:00,410
+common مشترك least أقل multiple مضاعفة يبقى مسمى
+
+216
+00:25:00,410 --> 00:25:06,450
+المضاعف المشترك الأصغر يعني بدي أشوف أصغر رقم
+
+217
+00:25:06,450 --> 00:25:11,610
+بيقسم كل من الرقمين اللي عندنايبقى the least
+
+218
+00:25:11,610 --> 00:25:19,390
+common multiple أصغر رقم يقسم non-zero integers a
+
+219
+00:25:19,390 --> 00:25:25,870
+والb يبقى of two non-zero integers a and b
+
+220
+00:25:30,190 --> 00:25:36,490
+is the smallest positive integer أصغر عدد صحيح
+
+221
+00:25:36,490 --> 00:25:41,850
+موجب that is a multiple of both a and b يبقى أصغر
+
+222
+00:25:41,850 --> 00:25:47,940
+عدد يكون مضاعفات ال a والb في آن واحدwe denote it
+
+223
+00:25:47,940 --> 00:25:55,440
+by اللي هو main a و b يبقى هذا هندله الرمز least
+
+224
+00:25:55,440 --> 00:25:59,700
+common multiple of a و b زي مجرسيس common divisor
+
+225
+00:25:59,700 --> 00:26:05,080
+قدنا g,c,d هنا least common multiple يبقى l,c,m هو
+
+226
+00:26:05,080 --> 00:26:09,300
+اختصار لل least common multiple نعطي مثال مثلا
+
+227
+00:26:09,300 --> 00:26:10,020
+example
+
+228
+00:26:14,420 --> 00:26:19,020
+لو دي اتنين من واحد بدي ال least common multiple
+
+229
+00:26:19,020 --> 00:26:26,920
+مثلا لست و اتناش ايش اول رقم بيقابلني بيقسم كله من
+
+230
+00:26:26,920 --> 00:26:40,600
+الست و اتناش الواحد اتنين تلاتة بدي اول رقم اتنين
+
+231
+00:26:40,600 --> 00:26:45,580
+هدول بيقسموه في انا واحدأيوة ممتاز جدا يبقى هنا
+
+232
+00:26:45,580 --> 00:26:50,740
+هذا بدى يساوي كده اش او اتناش يبقى اتناش هو اول
+
+233
+00:26:50,740 --> 00:26:54,860
+رقم بيقابلني الست بيقدر يقسمه و اتناش يعني هذا
+
+234
+00:26:54,860 --> 00:27:00,080
+المضاعف المشترك الأصغر للاتنين طبعا طيب لو جيت
+
+235
+00:27:00,080 --> 00:27:07,300
+قولتك بدي ال least common multiple للاربعة والست
+
+236
+00:27:07,300 --> 00:27:09,200
+اتنين
+
+237
+00:27:12,570 --> 00:27:17,970
+الاربعة بتقسم اتنين بقولك اول رقم بيجابلك بحيث
+
+238
+00:27:17,970 --> 00:27:20,510
+هالرقمين بدهم يقسموا هذا الرقم
+
+239
+00:27:26,370 --> 00:27:32,690
+يبقى 12 هذا أول رقم بيقسم الأربعة والستة طبعا في
+
+240
+00:27:32,690 --> 00:27:38,150
+أرقام بعده كتير في بعده لكن هذا هو أصغر رقم اللي
+
+241
+00:27:38,150 --> 00:27:42,310
+.. اللي .. اللي اتنين هدول بيجسموه مثلا الأربعة
+
+242
+00:27:42,310 --> 00:27:46,240
+والستة بتجسم الأربعة وعشرينلكن في أصغر من ال 24
+
+243
+00:27:46,240 --> 00:27:51,240
+ليومين اللي هو ال 12 و هكذا طيب لو بد ال least
+
+244
+00:27:51,240 --> 00:27:57,940
+common multiple ل التلاتة و السبعة
+
+245
+00:28:09,050 --> 00:28:17,090
+لو بدي ال least common multiple لستة والعشرة
+
+246
+00:28:21,130 --> 00:28:25,110
+تلاتين تلاتين قبل الستين تلاتين بتقسم الستة
+
+247
+00:28:25,110 --> 00:28:31,690
+وبتقسمين وبتقسم العشرة يبقى هذا بده يساوي تلاتين
+
+248
+00:28:31,690 --> 00:28:36,110
+طب لو جيت قولتلك بد ال least common multiple
+
+249
+00:28:36,110 --> 00:28:39,650
+للعشرة والاطمعاش
+
+250
+00:28:42,730 --> 00:28:49,110
+ستين يبقى هنا ستين يبقى الستين بتقسم العشرة وفي
+
+251
+00:28:49,110 --> 00:28:52,610
+نفس الوقت بتقسم الأتنان يعني شوف الإبتدائي المضاعف
+
+252
+00:28:52,610 --> 00:28:56,130
+المشترك لرقامين بس انت كان عندك في الإبتدائي علشان
+
+253
+00:28:56,130 --> 00:28:58,970
+شاك القصور بشوف المضاعفات للقصور
+
+254
+00:29:01,120 --> 00:29:05,080
+وهكذا يعني قد يكون الاسكم وال multiple الاثنين
+
+255
+00:29:05,080 --> 00:29:10,240
+واحد فيهم مثل هيك لكن بعد هيك لازم يكون اكبر من
+
+256
+00:29:10,240 --> 00:29:16,000
+الاثنين اكبر من الرقمين في انواع تطلع هنا اكبر من
+
+257
+00:29:16,000 --> 00:29:19,640
+الأربعة و اكبر من الستة اكبر من التلاتة و اكبر من
+
+258
+00:29:19,640 --> 00:29:22,840
+السبعة اكبر من الستة و اكبر من العشرة اكبر من
+
+259
+00:29:22,840 --> 00:29:27,600
+العشرة و من الاطناش و هكذايعني أقل حاجة لازم يسوي
+
+260
+00:29:27,600 --> 00:29:33,200
+واحد فيهم ولا يمكن ينزل عن أي واحد فيهم يعني مش
+
+261
+00:29:33,200 --> 00:29:38,560
+ممكن يكون أقل من أي رقم راه وإنما أقل لما ننزل
+
+262
+00:29:38,560 --> 00:29:42,340
+خلاص بدي يسوي مين بدي يسوي واحد فيهم يبقى هذا مين
+
+263
+00:29:42,340 --> 00:29:47,000
+ال least common multiple في ملاحظة بدنا نقولها لك
+
+264
+00:29:47,000 --> 00:29:50,460
+هنا ضرورة تكون ملمقة بها remark
+
+265
+00:29:52,920 --> 00:29:57,940
+أنا عندي رقامين يا شباب ممكن أجيب ال list common
+
+266
+00:29:57,940 --> 00:30:02,400
+multiple و ممكن أجيب ال grids common divisor لهم
+
+267
+00:30:02,400 --> 00:30:09,020
+لو ضربت اتنين في بعض باطيني حصل ضربة الرقامين يبقى
+
+268
+00:30:09,020 --> 00:30:13,730
+هنا باجي بقول الملاحظة ده بتقولLegacies common
+
+269
+00:30:13,730 --> 00:30:18,730
+divisor للـA والـB مضروبة في ال list common
+
+270
+00:30:18,730 --> 00:30:25,350
+multiple ل الأي والبي بدي سوى حصل ضرب الأي في البي
+
+271
+00:30:25,350 --> 00:30:26,830
+for example
+
+272
+00:30:31,240 --> 00:30:35,420
+لو بدنا نعطي مثالين او مثال على الكلام اللي احنا
+
+273
+00:30:35,420 --> 00:30:41,580
+بقوله بدنا نيجي ناخد اي رقامين a و b فمثلا لو بدي
+
+274
+00:30:41,580 --> 00:30:46,940
+لجريسيس common divisor لمان اختار اللي بدكي المرة
+
+275
+00:30:46,940 --> 00:30:53,100
+فيه كده شخدناها مثلا خليها 12 و 10 هذه اللي عندنا
+
+276
+00:30:53,100 --> 00:31:00,590
+هي عشرة و اتناشقواسم الاتنين اللي هو الواحد و
+
+277
+00:31:00,590 --> 00:31:04,730
+اتنين في غيرهم لأ يبقى ال aggressors come and
+
+278
+00:31:04,730 --> 00:31:09,610
+devise قداش بيكون اتنين يبقى هذا الكلام بده يساوي
+
+279
+00:31:09,610 --> 00:31:17,790
+اتنين andالليست كومون ملتبل للعشرة والاتناش هي و
+
+280
+00:31:17,790 --> 00:31:24,090
+قلنا قداش ستين يبقى انا بتروح اضرب لجريس كومون
+
+281
+00:31:24,090 --> 00:31:30,310
+ديفازر للعشرة والاتناشر ضرب ال least common
+
+282
+00:31:30,310 --> 00:31:35,660
+multiple للعشرة والاتناشراللي جلس ال common
+
+283
+00:31:35,660 --> 00:31:40,920
+divisor قداش اتنين واللي اس common multiple هو
+
+284
+00:31:40,920 --> 00:31:48,640
+قداش ستين قداش النتج مية وعشرين مية وعشرين هي حصل
+
+285
+00:31:48,640 --> 00:31:55,530
+ضرب عشرة في اتناشيبقى هذه تساوي حاصل ضرب العشرة في
+
+286
+00:31:55,530 --> 00:32:00,530
+الاطمعاش يبقى أي رقمين تاخدهم ال least common
+
+287
+00:32:00,530 --> 00:32:02,970
+multiple او ضربه في ال degree's least common
+
+288
+00:32:02,970 --> 00:32:07,230
+divisor بيعطيك حاصل ضرب الرقمين هذه في الكتاب
+
+289
+00:32:07,230 --> 00:32:11,620
+موجودة عندك على شكل سؤاللكن انا بدأ اخدها قاعدة
+
+290
+00:32:11,620 --> 00:32:17,700
+يمكن تلزمني قدام وستلزم ان شاء الله في بعض مسائل
+
+291
+00:32:17,700 --> 00:32:22,820
+الجبر قدام ومن هنا اعطيتلك carry mark وليس كسؤال
+
+292
+00:32:22,820 --> 00:32:29,480
+حتى نستخدمها متى لازم الأمر يبقى بدنا نيجي للنقطة
+
+293
+00:32:29,480 --> 00:32:33,060
+الثانية من هذا ال section كل حكينا في اللي فات كله
+
+294
+00:32:33,060 --> 00:32:37,880
+حول ال integers بدنا نيجي لحجم اسمها modular
+
+295
+00:32:51,930 --> 00:32:59,810
+اريثماتيك نعطي definition let
+
+296
+00:32:59,810 --> 00:33:03,430
+n
+
+297
+00:33:03,430 --> 00:33:07,950
+be a fixed positive
+
+298
+00:33:18,660 --> 00:33:28,100
+integer for any integers a
+
+299
+00:33:28,100 --> 00:33:33,460
+and b for
+
+300
+00:33:33,460 --> 00:33:38,620
+any integer a and b ال
+
+301
+00:33:38,620 --> 00:33:50,090
+a زائدي ال bالـ a زائد ال b modulo n modulo n is
+
+302
+00:33:50,090 --> 00:33:59,770
+the remainder is the remainder is upon dividing
+
+303
+00:33:59,770 --> 00:34:17,380
+upon dividing upon dividing aزائد ال V by N ال
+
+304
+00:34:17,380 --> 00:34:29,800
+A ضد B modulo N is the remainder upon dividing AB
+
+305
+00:34:29,800 --> 00:34:31,960
+by N
+
+306
+00:34:53,330 --> 00:34:56,790
+يبقى احنا رافعين عنوان modular arithmetic
+
+307
+00:34:56,790 --> 00:35:01,470
+arithmetic اللي هو علم الحساب modular الشغلات
+
+308
+00:35:01,470 --> 00:35:07,170
+الدورية لكن الترجمة الحقيقية بنقول الحساب باستخدام
+
+309
+00:35:07,170 --> 00:35:11,850
+المقاييس انا بدي اخد مقياس معين و بدي ابدأ اجيط
+
+310
+00:35:11,850 --> 00:35:17,010
+الست اللي عندي هذه كلها بهذا المقياس يبقى الحساب
+
+311
+00:35:17,010 --> 00:35:22,390
+باستخدام المقايس نعطي تعريف ل modular arithmetic
+
+312
+00:35:23,020 --> 00:35:29,020
+يقول افترض ان عدد موجب وهذا عدد ثابت موجب ثابت
+
+313
+00:35:29,020 --> 00:35:33,300
+ثبتنا
+
+314
+00:35:33,300 --> 00:35:37,860
+بنقول سمي هذا المقياس تلاتة ماشي اتنين ماشي عشرة
+
+315
+00:35:37,860 --> 00:35:42,970
+عشرين قمص عشقود المقياس اللي بدكيه تمامبقول for
+
+316
+00:35:42,970 --> 00:35:49,430
+any integers لأي رقمين a و b a زائد b modulo n ايش
+
+317
+00:35:49,430 --> 00:35:55,090
+معناها معناها is the remainder الباقي upon
+
+318
+00:35:55,090 --> 00:36:02,330
+dividing نتيجة لقسم a زائد b by m يعني كيف يعني
+
+319
+00:36:02,330 --> 00:36:07,120
+انا باجي بجمع العددين a و b بطلع رقام كبيريعني
+
+320
+00:36:07,120 --> 00:36:14,240
+افترض هذا ال N أخدها بعشرة واخد ال A و ال B واحد
+
+321
+00:36:14,240 --> 00:36:19,180
+سبعة و واحد تسعة سبعة و تسعة كده؟ ستة عشر مديل و
+
+322
+00:36:19,180 --> 00:36:24,040
+عشرة يعني بتهمل العشرة و بتاخد اللي بيظل كدهش بيظل
+
+323
+00:36:24,040 --> 00:36:24,360
+سبعة
+
+324
+00:36:29,050 --> 00:36:34,470
+يبقى التسعة زي التمانية modulo عشرة هو عبارة عن ال
+
+325
+00:36:34,470 --> 00:36:38,950
+remainder اللي هو سبعة يعني اهم للعشرات زي ما اقول
+
+326
+00:36:38,950 --> 00:36:45,920
+عندي الف درجةيبقى بدي احمل كل 360 واخد من اللي
+
+327
+00:36:45,920 --> 00:36:49,980
+بيظل عندنا تبقى هذه تساوي الزاوية الحقيقية هذه
+
+328
+00:36:49,980 --> 00:36:56,760
+يبقى هذا المقياس لكن لو كان الرقم اللي عندي بيقسم
+
+329
+00:36:56,760 --> 00:37:03,700
+على هذا المقياس ال reminder كداش؟ كداش؟ Zero تمام
+
+330
+00:37:03,700 --> 00:37:11,980
+يبقى مثلا لو جيت قلتلك هنا 6 modulo 2ستة modulo
+
+331
+00:37:11,980 --> 00:37:17,460
+اتنين يبقى انا اخدت المقياس قداش اتنين الستة بتقسم
+
+332
+00:37:17,460 --> 00:37:22,260
+على اتنين ولا لا ستة بتقسم على اتنين صحيح ولا لا
+
+333
+00:37:22,260 --> 00:37:27,820
+يبقى قداش النتج هنا بده يكونبدى يكون zero يعني يا
+
+334
+00:37:27,820 --> 00:37:34,080
+شباب لما اقولي ال remainder بقوله because الستة
+
+335
+00:37:34,080 --> 00:37:40,060
+هذه يسوى اتنين عندنا مضروبة في تلاتة زائد zero ليش
+
+336
+00:37:40,060 --> 00:37:42,800
+هنا بيجينا نقول المرة اللى فاتت في ال division
+
+337
+00:37:42,800 --> 00:37:48,520
+algorithmأى رقم هنا بقدر أكتبه بدلالة الرقم هذا
+
+338
+00:37:48,520 --> 00:37:53,800
+زائد R الـ R هذا أكبر من أو يسوى Zero وأقل من أو
+
+339
+00:37:53,800 --> 00:37:59,240
+يسوى من اتنين يبقى ال remainder هنا بقداش ب Zero
+
+340
+00:37:59,240 --> 00:38:06,400
+طيب لو جيت قلتلك على سبيل المثال هنا عاشرة مثلا
+
+341
+00:38:06,400 --> 00:38:13,330
+module تلاتةواحد تمام كل التلاتات بدي احمله تلات
+
+342
+00:38:13,330 --> 00:38:19,310
+تلاتات بتسعة بيظل قديش اب واحد شو السبب لإن العشرة
+
+343
+00:38:19,310 --> 00:38:24,750
+بدي يساوي تلاتة مضروبة في تلاتة زائد من واحد يبقى
+
+344
+00:38:24,750 --> 00:38:29,310
+ال remainder اب واحد لما اقول عشرة مديله تلاتة
+
+345
+00:38:29,310 --> 00:38:33,510
+يساوي الواحد اللي عندنا لإن ال remainder هنا يساوي
+
+346
+00:38:33,510 --> 00:38:40,270
+قديش واحد طيب يا شباب لما اقولنقص ثلاثة modulo
+
+347
+00:38:40,270 --> 00:38:45,370
+سبعة كيف
+
+348
+00:38:45,370 --> 00:38:53,020
+أسويبكل بساطة ضيف لل سالب تلاتة سبعة اللي هو مقدار
+
+349
+00:38:53,020 --> 00:38:57,340
+المقياس سالب تلاتة سبعة بيضال قداش اربعة يبقى
+
+350
+00:38:57,340 --> 00:39:04,720
+النتيجة تساوي اربعة بكوز سالب تلاتة يساوي سبعة في
+
+351
+00:39:04,720 --> 00:39:11,280
+أبصر قداش زائد الأربعة اللي طلعت عندنا هذهتمام
+
+352
+00:39:11,280 --> 00:39:17,100
+يبقى سبعة في قداش مشان يطلع أربعة سبعة في كام في
+
+353
+00:39:17,100 --> 00:39:21,500
+سالب واحد سالب سبعة زائد أربعة اللي هي سالب تلاتة
+
+354
+00:39:21,500 --> 00:39:24,780
+يبقى ال remainder اتفجنا المرة اللي فات قولنا
+
+355
+00:39:24,780 --> 00:39:30,320
+ممنوع يكون قيمة سالبة دائما و أبدا بناخده قيمة
+
+356
+00:39:30,320 --> 00:39:37,000
+موجب و هكذا طيب لو جيت قولتلك هنا ستة زائد سبعة
+
+357
+00:39:37,000 --> 00:39:48,310
+modulo خمسةيساوي ستة و سبعة تلتاشر modulo خمسة
+
+358
+00:39:48,310 --> 00:39:54,490
+يبقى النتيجة يساوي تلتة و هكذا طيب لو جيت قولتلك
+
+359
+00:39:54,490 --> 00:40:02,830
+ستة في سبعة modulo خمسةستة فى سبعة ستة فى سبعة
+
+360
+00:40:02,830 --> 00:40:07,950
+باتنين واربعين شيل الخمسات لغة اربعين بتطلع اتنين
+
+361
+00:40:07,950 --> 00:40:17,550
+يبقى هذه اتنين واربعين modulo modulo خمسة ويسوى
+
+362
+00:40:17,550 --> 00:40:25,860
+جداش ويسوى اتنين طيب قد يكون الرقم اللى عندناأقل
+
+363
+00:40:25,860 --> 00:40:32,380
+من المقياس اقل من المقياس يعني لما انا اجي اقولك
+
+364
+00:40:32,380 --> 00:40:40,500
+مثلا تلاتة modulo تمانية بتساوي تلاتة على طول الخط
+
+365
+00:40:40,500 --> 00:40:46,120
+تلاتة modulo تمانية بتساوي تلاتة كل رقم أصغر من
+
+366
+00:40:46,120 --> 00:40:51,180
+المقياس بيبقى المقياس فيهيعني واحد مضله تمانية
+
+367
+00:40:51,180 --> 00:40:54,480
+بواحد اتنين مضله تمانية بواحد خمسة مضله تمانية
+
+368
+00:40:54,480 --> 00:41:00,960
+بخمسة ستة مضله تمانيةبستة سبعة modulo تمانية طيب
+
+369
+00:41:00,960 --> 00:41:06,440
+تمانية modulo تمانية صفر صفر على طول الخطوة طيب
+
+370
+00:41:06,440 --> 00:41:11,620
+تسعة modulo تمانية واحد وها كده يبقى فهمنا عملية
+
+371
+00:41:11,620 --> 00:41:15,680
+الحسابات دي ربالة كده very important هتلعب معانا
+
+372
+00:41:15,680 --> 00:41:19,100
+شغل كتير في علم الجبر تبعنا
+
+373
+00:41:39,200 --> 00:41:46,120
+ودي التعريف definition
+
+374
+00:41:46,120 --> 00:41:51,400
+let
+
+375
+00:41:51,400 --> 00:42:06,620
+ال a والb والn be integers with n greater than
+
+376
+00:42:06,620 --> 00:42:26,500
+zerothen ال A modulo N بدرساوي B modulo N if they
+
+377
+00:42:26,500 --> 00:42:31,860
+have
+
+378
+00:42:31,860 --> 00:42:37,820
+the same remainder
+
+379
+00:42:40,440 --> 00:42:49,820
+if they have the same remainder upon dividing
+
+380
+00:42:49,820 --> 00:43:06,900
+نتيجة لقسمة each one of a and b by n نتيجة لقسمة
+
+381
+00:43:06,900 --> 00:43:09,920
+كل واحد فيهم by n
+
+382
+00:43:20,050 --> 00:43:25,130
+تعريف مرة تانية بيقول لي في عندي تلت أعداد صحيحة a
+
+383
+00:43:25,130 --> 00:43:30,490
+و b و n و ال n greater than zero يبقى هذا عدد موجب
+
+384
+00:43:30,490 --> 00:43:36,090
+دائما و أبدا بيقول لي اذا ان ال a modulo n بتساوي
+
+385
+00:43:36,090 --> 00:43:42,230
+b modulo n شو معناها هذه؟ معناها ان لو قسمت ال a
+
+386
+00:43:42,230 --> 00:43:47,870
+على ال n بيظل ال remainder لو قسمت ال ال الالـ B
+
+387
+00:43:47,870 --> 00:43:50,630
+على N بيبقى لـ remainder يبقى الـ remainder هنا
+
+388
+00:43:50,630 --> 00:43:54,270
+لازم يسوي main الـ remainder اللي هنا بيقول if
+
+389
+00:43:54,270 --> 00:43:58,950
+they have the same remainder نفس الباقي نتيجة
+
+390
+00:43:58,950 --> 00:44:04,270
+لقسمة كل واحد من A وB بيبقى على main على N مثال و
+
+391
+00:44:04,270 --> 00:44:12,350
+ذلكلو جاي تقولش لك مثلا سبعتاشر modulo ستة قداش
+
+392
+00:44:12,350 --> 00:44:17,670
+بده يساوي هذا؟ خمسة، ستة و ستة و اتناش من سبعتاشر
+
+393
+00:44:17,670 --> 00:44:19,150
+بيظل خمسة
+
+394
+00:44:21,240 --> 00:44:28,140
+لو جيت قولتلك مثلا تسعة وعشرين موديولو ستة برضه
+
+395
+00:44:28,140 --> 00:44:34,480
+خمسة يبقى بناء عليه ايش بقدر استنتج انه السبعتاشر
+
+396
+00:44:34,480 --> 00:44:41,550
+موديولو ستة بتساوي تسعة وعشرين موديولو ستةيبقى
+
+397
+00:44:41,550 --> 00:44:45,570
+هدول الرقمين بيسووا بقى يعني الرمين درهينة بدي
+
+398
+00:44:45,570 --> 00:44:50,830
+يسوى مين بدي يسوى الرمين درهينة نفسه بدون تغيير
+
+399
+00:44:50,830 --> 00:44:55,090
+طيب في عندنا سؤال في الكتاب السؤال بدي أعطيه لك
+
+400
+00:44:55,090 --> 00:45:00,250
+كمثال سؤال رقم تسعة من الكتاب بدي أكتبه على شكل
+
+401
+00:45:00,250 --> 00:45:05,010
+example مربوط مع الكلام اللي احنا بنقوله هذا
+
+402
+00:45:05,010 --> 00:45:13,460
+السؤال تسعة من الكتاب بيقولي F ال Aand ال B are
+
+403
+00:45:13,460 --> 00:45:25,320
+integers اعداد صحيحة and ال N is a positive
+
+404
+00:45:25,320 --> 00:45:38,070
+integer positive integer prove that اثبت انهProof
+
+405
+00:45:38,070 --> 00:45:48,130
+that ال A modulo N بدو
+
+406
+00:45:48,130 --> 00:45:59,270
+يساوي B modulo N if and only if ال N divides ال A
+
+407
+00:45:59,270 --> 00:46:00,310
+minus ال B
+
+408
+00:46:28,860 --> 00:46:35,040
+مرة تانية بقول لي عندي رقمين a و b أعداد صحيحة ال
+
+409
+00:46:35,040 --> 00:46:40,540
+n هو positive integer قال لي اثبتلي ان ال a modulo
+
+410
+00:46:40,540 --> 00:46:44,620
+n بدي سوى ال b modulo n يعني ال remainder تبع ال a
+
+411
+00:46:44,620 --> 00:46:48,300
+لما نجي اسمه على n بسوى ال remainder تبع ال b لما
+
+412
+00:46:48,300 --> 00:46:52,000
+نجي اسمه على n if and only if ال n تقسم الفرق ما
+
+413
+00:46:52,000 --> 00:46:57,480
+بين ال a و ال b if and only if تعني ان الحال بدي
+
+414
+00:46:57,480 --> 00:47:02,990
+يحصل wellفى اتجاهين بس لو if لحالها يبقى لحال اللى
+
+415
+00:47:02,990 --> 00:47:06,430
+بدى نصير فى اتجاه واحد يبقى if and only if كأن
+
+416
+00:47:06,430 --> 00:47:12,150
+المسألة عبارة عن مسألتين يبقى بناخد ال term الأول
+
+417
+00:47:12,150 --> 00:47:16,470
+كما أعطيته بنحاول نثبت ال term التانى بعدك العملية
+
+418
+00:47:16,470 --> 00:47:20,470
+العكسية بناخد هذه كما أعطيتها بنحاول نثبت تمام ال
+
+419
+00:47:20,470 --> 00:47:24,970
+term الأول يبقى بداجى أقول assume
+
+420
+00:47:27,060 --> 00:47:35,820
+that افترض ان ال a modulo n بده يساوي ال b modulo
+
+421
+00:47:35,820 --> 00:47:45,980
+n طيب كويس من ال division algorithm ال a هادي يبقى
+
+422
+00:47:45,980 --> 00:47:54,750
+هذا بده يعطينا ما يأتي ان ال aوالله خلينا نقول
+
+423
+00:47:54,750 --> 00:48:09,230
+there exist مثلا q1 و r1 في z such that بحيث أن
+
+424
+00:48:10,850 --> 00:48:15,570
+والله جيبها مرة واحدة كلها بلاش نقعد نفصل فيها
+
+425
+00:48:15,570 --> 00:48:24,330
+اكتر يبقى there exist a q1 و q2 و r1 و r2 and z
+
+426
+00:48:24,330 --> 00:48:29,210
+such that ال
+
+427
+00:48:29,210 --> 00:48:43,290
+a بده يساوي q1n زائد r1 andطبعا ال R1 هذه اكبر
+
+428
+00:48:43,290 --> 00:48:50,470
+من أو تساوي ال zero و اقل من مين انوفي نفس الوقت
+
+429
+00:48:50,470 --> 00:49:01,130
+ال B يبقى Q2N زائد R2 وR2 أكبر من أو تساوي 0 أقل
+
+430
+00:49:01,130 --> 00:49:08,810
+من ال N يبقى هذول كخوارزمية القسمة إيش الفرض اللي
+
+431
+00:49:08,810 --> 00:49:14,070
+عنده هنا بيقول افترض هذول بيسووا بعض يبقى معناته
+
+432
+00:49:14,070 --> 00:49:18,070
+ال remainder هنا بيسووا ال remainder هنا يعني إيش؟
+
+433
+00:49:18,390 --> 00:49:23,930
+ار واحد تساوي ار اتنين يبقى باجي بقوله بما ان
+
+434
+00:49:23,930 --> 00:49:34,310
+since ال a modulo n بده يساوي ال b modulo n we
+
+435
+00:49:34,310 --> 00:49:35,370
+have
+
+436
+00:49:42,050 --> 00:49:47,810
+يظهر ان الان بتقسم ال a ناقص ال b اذا حاجة اطرح ال
+
+437
+00:49:47,810 --> 00:49:56,090
+a ناقص ال b يبقى بصير ان ال a ناقص ال b يساوي ال a
+
+438
+00:49:56,090 --> 00:50:08,980
+هو q1n زائد r1التانية يبقى ناقص Q2N ناقص R2 تمام
+
+439
+00:50:08,980 --> 00:50:18,620
+هذا الكلام بده يساوي Q1 ناقص Q2 كله في N زائد مش
+
+440
+00:50:18,620 --> 00:50:25,860
+R1 تساوي R2 صح ولا لأ يبقى هذه مع هذه الله سهل
+
+441
+00:50:25,860 --> 00:50:32,290
+عليهايبقى انتهينا هذه لان انا قلت R1 تسوي R2 هذه
+
+442
+00:50:32,290 --> 00:50:37,510
+موجب و هذه سلبة مع السلامة و هدولة خدنا منهم ال N
+
+443
+00:50:37,510 --> 00:50:44,930
+عامل مشرك صار ال A ناقص ال B ال A ناقص ال B يسوي
+
+444
+00:50:44,930 --> 00:50:53,890
+Q1 ناقص Q2 كله في .. ايش تفسيرك لهذا ان ال N بيقسم
+
+445
+00:50:53,890 --> 00:51:01,480
+ال A minus ال Bيبقى هذا معناه ان ال N divide ال A
+
+446
+00:51:01,480 --> 00:51:07,900
+ناقص ال B وهو المطلوب الأول الآن بدنا نمشي بالعكس
+
+447
+00:51:07,900 --> 00:51:13,440
+لما نمشي بالعكس بقوله conversely
+
+448
+00:51:13,440 --> 00:51:21,380
+يبقى conversely على العكس assume افترض ان ال N
+
+449
+00:51:21,380 --> 00:51:27,740
+divide ال A minus ال Bوبدى احاول اثبت ان ال a
+
+450
+00:51:27,740 --> 00:51:33,900
+modulo n بدر سوى ال b modulo n يبجى هذا معناه ايه
+
+451
+00:51:33,900 --> 00:51:42,480
+ان ال a نقص ال b بدر سوى ال aq في n وال aq موجودة
+
+452
+00:51:42,480 --> 00:51:51,230
+وين في z في remainderمافيش remainder لإن هذه
+
+453
+00:51:51,230 --> 00:51:56,090
+بتقسمها يبقى ال remainder هذا كم بده يساوي؟ Zero
+
+454
+00:51:56,090 --> 00:52:03,750
+يبقى هنا بقوله and ال R1 ناقص R2 بده يساوي Zero
+
+455
+00:52:03,750 --> 00:52:07,750
+لإن انا طرح اتنين من بعض يبقى الفرق ما بين ال two
+
+456
+00:52:07,750 --> 00:52:13,580
+remainders لإنه فرض الأول هيو وهي التانيإذا لما
+
+457
+00:52:13,580 --> 00:52:20,520
+انطرحتم بيصير R1 ناقص R2 يبقى ال R1 ناقص R2 بقداش
+
+458
+00:52:20,520 --> 00:52:27,640
+ب Zero هذا معناه ايه ان ال R1 بيساوي ميهم يعني ال
+
+459
+00:52:27,640 --> 00:52:32,720
+remainder للأول بيساوي ال remainder للثاني يبقى
+
+460
+00:52:32,720 --> 00:52:39,620
+هذا معناهإن ال A modulo N بده ساوي ال B modulo N
+
+461
+00:52:39,620 --> 00:52:44,480
+اللي هو ال remainder وهو المطلوب يبقى الاتجاه
+
+462
+00:52:44,480 --> 00:52:49,000
+التاني أبسط من من الاتجاه الأول يعطيكوا العافية
+
+463
+00:52:49,000 --> 00:52:52,340
+بنكمل ان شاء الله المرة القادمة
+
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/fpxaZ9Pv2HM_postprocess.srt b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/fpxaZ9Pv2HM_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..fbd9c61ec0bcc66e53460e74e68bfa4f3cd42512
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/fpxaZ9Pv2HM_postprocess.srt
@@ -0,0 +1,2012 @@
+1
+00:00:20,790 --> 00:00:25,630
+بسم الله الرحمن الرحيم محاضرتنا اليوم ان شاء الله
+
+2
+00:00:25,630 --> 00:00:33,770
+تعالى هي في جبر حديث واحد طبعا ان بتعرفوا ان مادة
+
+3
+00:00:33,770 --> 00:00:38,930
+جبر الحديث الواحد وكذلك مادة تحليل حقيقي واحد
+
+4
+00:00:38,930 --> 00:00:43,010
+ومادة ال topology هي اثقل ثلاث مواد بالنسبة
+
+5
+00:00:43,010 --> 00:00:47,990
+للرياضيات اللي أخدتول كالكلصادة ما هو الا بسكوتة
+
+6
+00:00:47,990 --> 00:00:53,040
+الرياضياتيعني بسيط جدا إذا قيص بالجبر أو التحليل
+
+7
+00:00:53,040 --> 00:00:56,720
+أو ال topology لكن ان شاء الله من خلال دراستنا
+
+8
+00:00:56,720 --> 00:01:01,520
+هلاقي المادة بسيطة لإنه سنحاول أن نبسطها إلى أبعد
+
+9
+00:01:01,520 --> 00:01:07,940
+الحدود بحيث تستوعبها وتفهمها تمامالكن قبل ان ابدأ
+
+10
+00:01:07,940 --> 00:01:13,340
+بدي كل واحد جوال يكون مجفول تحاول تلتزم بالحضور
+
+11
+00:01:13,340 --> 00:01:17,000
+الساعة تسعة يعني الساعة تسعة تماما طبعا احنا
+
+12
+00:01:17,000 --> 00:01:20,840
+اتخرنا خمس دقايق لان اذهبت الى المبنى الثاني و
+
+13
+00:01:20,840 --> 00:01:25,620
+كتبت انتقلة المحاضرة الى قاعة التصوير فالاربع
+
+14
+00:01:25,620 --> 00:01:30,640
+ساعات بدنا ندومهم هنا المادة اربع ساعات وليس ثلاث
+
+15
+00:01:30,640 --> 00:01:34,960
+ساعات كما كانت من قبل قبل كانت ثلاث ساعات وساعات
+
+16
+00:01:34,960 --> 00:01:40,060
+مناقشأربع ساعات اللي هي من ضمنهم المناقشة المدرس
+
+17
+00:01:40,060 --> 00:01:44,860
+هو اللذي سيناقش معاك المسائل مش المعيد كما كان في
+
+18
+00:01:44,860 --> 00:01:50,280
+الأعوام السابقة اليوم عندنا محاضرتين المحاضرة
+
+19
+00:01:50,280 --> 00:01:55,680
+الأولى هذه سنتكلم فيها الخطوط العريضة للمنهج
+
+20
+00:01:55,680 --> 00:01:58,920
+والمحاضرة الثانية اللي بتبدأ الساعة اتناشر ان شاء
+
+21
+00:01:58,920 --> 00:02:06,570
+الله سندخل في صميم المقررطيب قبل ان نبدأ احب ان
+
+22
+00:02:06,570 --> 00:02:12,830
+اركز على كيفية فهم المادة مشان تفهم المادة يجب ان
+
+23
+00:02:12,830 --> 00:02:17,910
+تحرص على الحضور مبكرا الساعة تسعة يمكن تسعة لدقيقة
+
+24
+00:02:17,910 --> 00:02:21,650
+تلاقيني هنا ان اتأخرت دقيقة بكون بس في الأسانسية
+
+25
+00:02:22,190 --> 00:02:26,230
+لكن الساعة تسعة بدي الكل .. و لو كنت تسعة العشرة
+
+26
+00:02:26,230 --> 00:02:30,210
+بكون أحسن انا بعرف بدك تنتقل من مبنى إلى مبنى من
+
+27
+00:02:30,210 --> 00:02:34,450
+قاعة إلى قاعة ياخدلك خمس دقايق المهم الساعة تسعة
+
+28
+00:02:34,450 --> 00:02:40,070
+بدك تجبع قاعة ايه جاعد هنا في مقعدك تنتظر اللي هو
+
+29
+00:02:40,070 --> 00:02:46,530
+ما سيشرح أمامك حتى تستطيع أن تستوعبالمادة مشان
+
+30
+00:02:46,530 --> 00:02:52,150
+تفهمها لازم تروح تجرى المحاضرة بمجرد ما تاخدها
+
+31
+00:02:52,150 --> 00:02:57,190
+خلال المحاضرة بطلع على ذهنك سؤال بتحب تناقش بترفع
+
+32
+00:02:57,190 --> 00:03:02,370
+عيدك بنقولك اتفضل وماعنديش إجابة جماعية الإجابة
+
+33
+00:03:02,370 --> 00:03:05,470
+الفردية اللي هو السؤال فشان بترفع عيدك بنقولك
+
+34
+00:03:05,470 --> 00:03:10,890
+اتفضل حتى تكون الفائدة عامة للجميع بلا استثناء
+
+35
+00:03:11,240 --> 00:03:16,200
+وأحنا كلامنا قصير ما نحبش اما يعني نجرش الكلام
+
+36
+00:03:16,200 --> 00:03:23,500
+لكتير لأن أفضل الكلام يعني ما قلة عدده هو كثرة
+
+37
+00:03:23,500 --> 00:03:29,200
+معانيت ولذلك علمنا في معاني كثيرة ان شاء الله
+
+38
+00:03:29,200 --> 00:03:35,360
+سنتعرض لها من خلال دراستنا لمساق الجبر الحديث واحد
+
+39
+00:03:35,830 --> 00:03:40,250
+طيب روحنا على البيت الدراسة ليست انك تقرأ المحاضرة
+
+40
+00:03:40,250 --> 00:03:45,070
+و تقرأ الأمثلة صحيح ان هذا ضروري جدا لكن حل
+
+41
+00:03:45,070 --> 00:03:52,710
+الأسئلة له ضرورة كبيرة جدا في فهم منالموضوع يعني
+
+42
+00:03:52,710 --> 00:03:57,310
+ال definition النظرية اللي مليه الفرضية المساعدة
+
+43
+00:03:57,310 --> 00:04:01,390
+النتيجة اللي موجودة على النظرية كلها قد تجد عليها
+
+44
+00:04:01,390 --> 00:04:05,270
+على كل واحدة فيها مجموعة من الأسئلة في التمرين
+
+45
+00:04:05,270 --> 00:04:11,000
+والحمد لله كتابنا مليانبالتمرين التطبيقي قد تكون
+
+46
+00:04:11,000 --> 00:04:17,600
+عددية وقد تكون نظرية طيب السؤال هو ما هو المساق
+
+47
+00:04:17,600 --> 00:04:23,140
+السابق الذي يعتمد عليه هذا المساق طبعا سؤال وجيه
+
+48
+00:04:23,140 --> 00:04:27,780
+جدا وكتير منكم كان بإمكانه أو يدور في خلده أن يسأل
+
+49
+00:04:27,780 --> 00:04:33,190
+هذا السؤالالمادة الأساسية اللي لازمان لهذه المادة
+
+50
+00:04:33,190 --> 00:04:38,410
+هي مادة مبادئ الرياضيات principle of mathematics
+
+51
+00:04:38,410 --> 00:04:42,910
+طبعا و لذلك ال chapter الأول عندنا في هذا الكتاب
+
+52
+00:04:42,910 --> 00:04:48,310
+يعتبر مراجعة لما سبقت دراسته في مبادئ الرياضيات
+
+53
+00:04:48,310 --> 00:04:54,610
+الأعداد الصحية الأعداد الطبيعية الأعداد الجذرية
+
+54
+00:04:54,610 --> 00:05:00,740
+مجموعة الأعداد الحقيقية مجموعة الأعدادالتخيلية هذا
+
+55
+00:05:00,740 --> 00:05:06,520
+الأساس أو الخمس مجموعات هذه هو الذي أُسس عليها علم
+
+56
+00:05:06,520 --> 00:05:11,670
+الجبر اللي بين إيديناهي لزمنا بعض الشغلات البسيطة
+
+57
+00:05:11,670 --> 00:05:16,150
+مش كتير من مادة ال number theory نظرية الاعداد
+
+58
+00:05:16,150 --> 00:05:22,130
+ستكون في المقدمة ولذلك كل الأشياء الضرورية خلال
+
+59
+00:05:22,130 --> 00:05:26,150
+دراستنا في موضوع الجبرة الحديث سنضعها لك في
+
+60
+00:05:26,150 --> 00:05:32,130
+chapter المقدمة وبعد هيك كل شويه يطلعان واحدة منهم
+
+61
+00:05:32,130 --> 00:05:37,380
+يكون ايه ملمين قبهاأو ذكرنا بها في بداية دراستنا
+
+62
+00:05:37,380 --> 00:05:43,440
+هنا يبقى مبادئ الرياضيات أساسية جدا لفهم الجبر
+
+63
+00:05:43,440 --> 00:05:47,640
+والتحليل والتوبوليجي كله بيعتمد على مادة مبادئ
+
+64
+00:05:47,640 --> 00:05:51,240
+الرياضيات وانت في مبادئ الرياضيات في الشتر الأول
+
+65
+00:05:51,240 --> 00:05:56,780
+أخدت الطرق المختلفة للبراهين ولذلك الشغل هيكون
+
+66
+00:05:56,780 --> 00:06:01,480
+مليان براهينبراهين كتيرة و كلها مطلوبة لإن انت
+
+67
+00:06:01,480 --> 00:06:06,540
+انسان متخصص و بعد سنة او سنتين بدك توقف تشرح
+
+68
+00:06:06,540 --> 00:06:12,300
+للطلاب لذلك ضروري تكون تعرف تبرهن حتى تستطيع تبرهن
+
+69
+00:06:12,300 --> 00:06:15,900
+بعد سنة او سنتين للطلاب سواء كان في المدارس
+
+70
+00:06:15,900 --> 00:06:21,580
+الاعدادية او المدارس الثانوية او ربمايكون بعضكم
+
+71
+00:06:21,580 --> 00:06:26,460
+معيدا عندنا في الكلية ويطور نفسه وبعض ذلك يصبح
+
+72
+00:06:26,460 --> 00:06:32,160
+زميل لنا كما كثير منه الزملاء هم خريجي الجامعة
+
+73
+00:06:32,160 --> 00:06:37,100
+الإسلامية من عندنا واتدرسناهم والأن هايهم زملاء
+
+74
+00:06:37,100 --> 00:06:41,660
+لنا في القسم بل رئيس القسم الدكتور أحمد بابحوح هو
+
+75
+00:06:41,660 --> 00:06:46,400
+أحد خريجي الجامعة الإسلامية الدكتور الرائد قبله
+
+76
+00:06:46,400 --> 00:06:51,850
+برضه خريجي الجامعة الإسلاميةو هكذا فيعني تستجلش
+
+77
+00:06:51,850 --> 00:06:55,670
+بنفسك لكن اللي بيشتغل هو اللي بيقدم اللي بيشتغلش
+
+78
+00:06:55,670 --> 00:06:59,030
+بيبقى قاعد و عمره مابيقدم بيصير حط على الكم زي
+
+79
+00:06:59,030 --> 00:07:03,470
+باقى الناس لكن اللي بيشغل مخ و بيشتغل هذا هو اللي
+
+80
+00:07:03,470 --> 00:07:07,870
+بيقدم انت لان في المستوى التالت يبقى احرص على ان
+
+81
+00:07:07,870 --> 00:07:12,950
+المستوى التالت والرابع ترفع معدلك حتى تتمكن من
+
+82
+00:07:12,950 --> 00:07:19,670
+العمل او اكمال دراستك بعد ذلكيبقى هذه الأشياء
+
+83
+00:07:19,670 --> 00:07:23,770
+ضرورية نقرأ المحاضرة أن أن نفهم المحاضرة بقدر
+
+84
+00:07:23,770 --> 00:07:28,330
+الإمكان صيب عليك شغل بتسألني بتروح على الدار بتقرا
+
+85
+00:07:28,330 --> 00:07:32,130
+المحاضرة من جديد بتقرا الأمثلة بتبدأها اتحل
+
+86
+00:07:32,130 --> 00:07:36,570
+الأسئلة و في نهاية كل section بنخلي المحاضرة
+
+87
+00:07:36,570 --> 00:07:42,490
+للمناقشة خصوصاللأصل اللى هنعطيك أرقامها بحيث تكون
+
+88
+00:07:42,490 --> 00:07:47,990
+مجهز حالك لحل هذه المسائل هذا بالنسبة للدراسة أما
+
+89
+00:07:47,990 --> 00:07:52,270
+بالنسبة للامتحانات فعندنا امتحانين أعمال فصل
+
+90
+00:07:52,270 --> 00:07:56,050
+الامتحان الأول بيكون حوالي أربعين يوم من بدء
+
+91
+00:07:56,050 --> 00:08:00,370
+الدراسة يعني اليوم السابعة تسعة اتوقع حوالي عشرين
+
+92
+00:08:00,370 --> 00:08:05,000
+عشرة قبله بيوم يومين أو بعده بيوم يومين تلاتةهيكون
+
+93
+00:08:05,000 --> 00:08:08,860
+عندك الامتحان الأول كل امتحان عليه خمسة و عشرين
+
+94
+00:08:08,860 --> 00:08:14,660
+درجة يبقى امتحانين بخمسين درجة يبقى النهاية بقداش
+
+95
+00:08:14,660 --> 00:08:20,380
+بخمسين درجة طيب هذا بالنسبة لكيفية الدراسة و بنفسي
+
+96
+00:08:20,380 --> 00:08:26,070
+ولا الامتحان الحضور عندي أساسيو ساخد حضور و غياب
+
+97
+00:08:26,070 --> 00:08:30,030
+اول أسبوعين مشان السحب والاضافة باخدش حضور و غياب
+
+98
+00:08:30,030 --> 00:08:34,810
+ابتدا من اليوم الأول في الأسبوع التالت باخد حضور و
+
+99
+00:08:34,810 --> 00:08:38,830
+غياب لو غيبت عندي خمسة و عشرين في المية اعتبر حالك
+
+100
+00:08:38,830 --> 00:08:43,770
+مفصول على ذو الخط بنلغي تسجيلك لكن بنبلغك هذا انا
+
+101
+00:08:43,770 --> 00:08:49,960
+ببلغ من اليومالحضور عندى .. الحضور بد يكون لو غبط
+
+102
+00:08:49,960 --> 00:08:53,520
+خمسة و عشرين في المئة اعتبر حالك مفصول، مفصول من
+
+103
+00:08:53,520 --> 00:08:57,620
+المادة على طول القطب، منشطب تسجيلكم يقولك انت مع
+
+104
+00:08:57,620 --> 00:09:02,540
+السلام بلزمكش تكون حاضر عن هنا، لإن الحضور أساسى،
+
+105
+00:09:02,540 --> 00:09:07,380
+طبعا سيدعي بعض يكونان انا بحضرها على التصوير ما هي
+
+106
+00:09:07,380 --> 00:09:11,820
+مصورة بالفيديو بتيجي بالصوت و الصورة بقولك صحيح
+
+107
+00:09:11,820 --> 00:09:17,840
+الصورة ليست كالاصل يعني انت حاضر هنا تطلع لنظرة
+
+108
+00:09:17,840 --> 00:09:23,220
+العين حركات الإيدينالمناقش اللى بيصير بينه و بين
+
+109
+00:09:23,220 --> 00:09:27,420
+الغالب غالب كلها هادي بتفيدك لكن يمكن ما تسمعهاش
+
+110
+00:09:27,420 --> 00:09:31,640
+كويس في بيتكوا يمكن تقطيعات الوجه ماتظهرش تماما
+
+111
+00:09:31,640 --> 00:09:36,000
+أثناء السؤال و الإجابة عليه فكل هذا له تأثير في
+
+112
+00:09:36,000 --> 00:09:42,410
+فهمين في فهم المساق يبقى الحضور عندي أساسيأول
+
+113
+00:09:42,410 --> 00:09:46,370
+أسبوعين أنا مسامحك لكن ابدا من الأسبوع التالت حابد
+
+114
+00:09:46,370 --> 00:09:53,090
+أخد الحضور والغياب إذا وصل غيابك ل 25% بنبلغك أنك
+
+115
+00:09:53,090 --> 00:09:58,150
+مفصول حتى وإن كنت مقدم لمتحان النصفيتمام يبقى
+
+116
+00:09:58,150 --> 00:10:02,250
+الحضور أساسي هذا بالنسبة للحضور وبالنسبة لمن
+
+117
+00:10:02,250 --> 00:10:10,450
+وبالنسبة للدرجات وكذلك بالنسبة لطريقة الدراسة الآن
+
+118
+00:10:10,450 --> 00:10:15,580
+قبل أن أبدأ فيها أن حاجة اسمها ساعات مكتبيةالساعات
+
+119
+00:10:15,580 --> 00:10:18,920
+المكتبية بتجدني قاعد في المكتب بس تنسيتك تيجي
+
+120
+00:10:18,920 --> 00:10:24,640
+تسألني سؤال حلو حاجة ماانتش فاهمها نشرح حالك أي
+
+121
+00:10:24,640 --> 00:10:30,040
+تساؤل حول المساق نحاول انفيدك فيه بقدر الإمكان انا
+
+122
+00:10:30,040 --> 00:10:35,460
+متواجد في المكتب من الساعة واحدة لساعتين سبت اتنين
+
+123
+00:10:35,460 --> 00:10:43,330
+اربعةوكذلك متواجد في المكتب من الأحداش لأتناش برضه
+
+124
+00:10:43,330 --> 00:10:49,030
+سبت اتنين اربع حسب جدول الطلاب والطالبات الوقت
+
+125
+00:10:49,030 --> 00:10:53,750
+المناسب بالنسبالك اتفضل احنا في انتظارك بس بعتقد
+
+126
+00:10:53,750 --> 00:10:58,330
+المناسب اللي هو من الأحداش لأتناش مش هيك من
+
+127
+00:10:58,330 --> 00:11:05,330
+الأحداش لأتناش في المكتب تمام؟يبقى هذا بالنسبة
+
+128
+00:11:05,330 --> 00:11:09,850
+لمين للساعات المكتبية، رقم المكتب تلاتمية و تلاتة
+
+129
+00:11:09,850 --> 00:11:16,370
+و عشريناللي هي كلية العلوم الطابق الثالث الغرفة
+
+130
+00:11:16,370 --> 00:11:23,030
+رقمها 323 في ال corridor التليفون الداخلي 2619
+
+131
+00:11:23,030 --> 00:11:28,930
+يعني بإمكانك من أي تليفون هنا تصل على 2619 تعرف
+
+132
+00:11:28,930 --> 00:11:32,770
+انه متواجد في المكتب و الله مش متواجد حتى لو كان
+
+133
+00:11:32,770 --> 00:11:39,210
+في غير الساعات المكتبية واضح كلامي؟طيب نجي الآن
+
+134
+00:11:39,210 --> 00:11:45,590
+للموضوع موضوع الجبرا الحديث الكتاب المقرر اسمه
+
+135
+00:11:45,590 --> 00:11:50,170
+contemporary abstract algebra هكتب هلك الآن هذا
+
+136
+00:11:50,170 --> 00:11:55,570
+شكل الكتاب موجود الآن في مكتبة الطالب الجامعي
+
+137
+00:11:55,570 --> 00:12:00,660
+بتاعه ممكن تشتريه بعد نهاية المحاضرة تماماو موجود
+
+138
+00:12:00,660 --> 00:12:05,340
+كمان في المكتبات اللي قدام الجامعة الإسلامية في
+
+139
+00:12:05,340 --> 00:12:09,560
+أحد المكتبات موجود فيها كمان نسخ اللي يريحك اشتريه
+
+140
+00:12:09,560 --> 00:12:14,760
+و اللي تلاقيه أرخص اشتريه الكتاب هو Contemporary
+
+141
+00:12:14,760 --> 00:12:20,240
+Abstract Algebra المؤلف اسمه Joseph Galliam الطبعة
+
+142
+00:12:20,240 --> 00:12:27,770
+السابعة طبعا احنا دخلنا هذا الكتابوقررنا منذ سنوات
+
+143
+00:12:27,770 --> 00:12:32,490
+منذ الطبعة الثانية لأن حسب ما شوفنا كتب جبر كثيرة
+
+144
+00:12:32,490 --> 00:12:38,590
+لجينا أن هذا أنسب كتاب بالنسبة للطالب وفيه عدد لا
+
+145
+00:12:38,590 --> 00:12:44,450
+بأس به من الأسئلة في التمرين الواحد ونصفها محلول
+
+146
+00:12:44,450 --> 00:12:49,530
+يعني حل بس حل مختصرا وانواعيا في نهاية الكتاب
+
+147
+00:12:49,530 --> 00:12:55,020
+الأسئلة الفردية غالبها محلولةوبالتالي بيساعدك على
+
+148
+00:12:55,020 --> 00:13:00,720
+فهم المساق فهما صحيا يبقى اسم الكتاب Contemporary
+
+149
+00:13:00,720 --> 00:13:02,280
+Abstract Algebra
+
+150
+00:13:25,630 --> 00:13:39,950
+اسم المؤلف جوزيف جوزيف
+
+151
+00:13:39,950 --> 00:13:49,210
+جاليان الطابعة السابعة بجهة seven edition
+
+152
+00:13:57,810 --> 00:14:03,230
+again شوفتش شكل الكتاب وهذا الاسم المساكن
+
+153
+00:14:03,230 --> 00:14:06,230
+temporary abstract algebra الاسم اللي موجود على
+
+154
+00:14:06,230 --> 00:14:11,390
+الكتاب المؤلف اسمه Joseph Gallien الطابعة السابعة
+
+155
+00:14:11,390 --> 00:14:15,270
+احنا بنتعامل مع الكتاب منذ الطابعة الثانية والان
+
+156
+00:14:15,270 --> 00:14:19,150
+وصلنا إلى الطابعة السابعة كل ما يصير تغيير بنتابع
+
+157
+00:14:19,150 --> 00:14:24,370
+هذا التغيير لإن العلم يتطور يومياوالعقل البشري كل
+
+158
+00:14:24,370 --> 00:14:29,110
+يوم يهتدي لشيء في الكون لم يكن قد اكتشفه من قبل
+
+159
+00:14:29,110 --> 00:14:35,210
+وهذه طبيعة البشر وطبيعة الكون اللذي نحن فيه الا
+
+160
+00:14:35,210 --> 00:14:38,850
+ابن نيجي ما هي الموضوعات اللتي سندرسها من هذا
+
+161
+00:14:38,850 --> 00:14:43,730
+الكتاب هذا الكتاب لجبر حديث واحد وجبر حديث اتنين
+
+162
+00:14:43,730 --> 00:14:49,950
+طبعا كلاب كلية العلوم مقرر عليهم المساقينضلاب كلية
+
+163
+00:14:49,950 --> 00:14:53,650
+التربية مقرر عليهم جبر حديث واحد جبر اتنين
+
+164
+00:14:53,650 --> 00:14:58,030
+optional اختياري تاخدها اهلا وسهلا بدكش بلاش لكن
+
+165
+00:14:58,030 --> 00:15:01,970
+العلوم اجباري عليهم جبر حديث اتنين
+
+166
+00:15:04,990 --> 00:15:11,750
+هذا الكتاب سندرس منه ten chapters يبقى عشر شباتر
+
+167
+00:15:11,750 --> 00:15:20,210
+سندرس من هذا الكتاب أول شبتر هو شبتر المقدمة
+
+168
+00:15:20,750 --> 00:15:27,010
+المقدمة اللى هناطفى مراجعة لما سبقت دراسته في
+
+169
+00:15:27,010 --> 00:15:33,630
+مبادئ الرياضية زى ايش مثلا يبقى الشبتر الاول بتكلم
+
+170
+00:15:33,630 --> 00:15:35,650
+عن ال integers
+
+171
+00:15:37,860 --> 00:15:41,960
+اللي هو من مجموعة الأعداد الصحية طبعا احنا اول ما
+
+172
+00:15:41,960 --> 00:15:47,080
+نبدأ هنبدأ بنفسنا ال number نعرفلك إياه المجموعة
+
+173
+00:15:47,080 --> 00:15:50,220
+ال six of integers مجموعة ال rational number ال
+
+174
+00:15:50,220 --> 00:15:54,020
+real number ال complex number الخمسة هدول اللي
+
+175
+00:15:54,020 --> 00:15:57,820
+علمنا في الجبرق ان بنا عليهم اللي هي الأساسيات
+
+176
+00:15:57,820 --> 00:16:03,430
+الأساسيةبعد ذلك نقوم بالإنتجار ناخد الـ prime
+
+177
+00:16:03,430 --> 00:16:07,730
+numbers الأعداد الأولية ال division algorithm
+
+178
+00:16:07,730 --> 00:16:14,590
+خوارزمية القسمة modular arithmetic الحسابات بمقياس
+
+179
+00:16:14,590 --> 00:16:19,970
+معين ال mathematical induction اللي هو الاستنتاج
+
+180
+00:16:19,970 --> 00:16:25,470
+الرياضي أو الاستقراء الرياضيالـ equivalence
+
+181
+00:16:25,470 --> 00:16:29,350
+relations اللي هي علاقات التكافؤ وبعدها الـ
+
+182
+00:16:29,350 --> 00:16:33,770
+functions يبقى هذه الملامح الأساسية لمين لل
+
+183
+00:16:33,770 --> 00:16:38,250
+chapter اللي عندنا يبقى في ال integers بدنا ندرس ل
+
+184
+00:16:38,250 --> 00:16:41,970
+prime ال
+
+185
+00:16:41,970 --> 00:16:50,070
+division اللي هو القسمة او ال division algorithm
+
+186
+00:16:50,070 --> 00:16:52,050
+خوارزمية القسمة
+
+187
+00:16:56,430 --> 00:17:00,430
+خوارزمية القسمة بناخد حاجة اسمها modular
+
+188
+00:17:00,430 --> 00:17:03,730
+arithmetic
+
+189
+00:17:03,730 --> 00:17:10,710
+اللي
+
+190
+00:17:10,710 --> 00:17:18,130
+هو الحسابات الدورية بمقياس معين بعد ال modular
+
+191
+00:17:18,130 --> 00:17:21,250
+بناخد حاجة اسمة mathematical induction
+
+192
+00:17:29,030 --> 00:17:34,570
+استنتاج او الاستقرار الرياضي بعد الاستنتاج الرياضي
+
+193
+00:17:34,570 --> 00:17:44,610
+بنجي لحاجة اسمها ال equivalence relations علاقات
+
+194
+00:17:44,610 --> 00:17:52,590
+التكافؤ اخر حاجة and functions اللي هم من الدولة
+
+195
+00:17:53,960 --> 00:17:59,360
+طبعا كل هذا مر عليك في مبادئ الرياضية يعني هذا
+
+196
+00:17:59,360 --> 00:18:03,200
+الشفطة يعتبر مراجعة طبعا بتعرفوا مجموعة الأعداد
+
+197
+00:18:03,200 --> 00:18:08,360
+الصحيحة بتعرفوا الأعداد الأولية ال prime numbers
+
+198
+00:18:08,360 --> 00:18:13,660
+بتعرفوا الخوارزمية القسمة كيف نكتب عددين بدلالة
+
+199
+00:18:13,660 --> 00:18:20,480
+بعض واحد بدلالة التاني مضاعفات وزايد شيء معين علم
+
+200
+00:18:20,480 --> 00:18:26,110
+قياس زي إيش مثلازي العدد اتناش اظن كل اتناش ساعة
+
+201
+00:18:26,110 --> 00:18:29,650
+بتبدأ الساعة من جديد في الليل و النهار الساعة ..
+
+202
+00:18:29,650 --> 00:18:32,450
+بنبدأ من الساعة واحدة لغاية الساعة اتناش بعد
+
+203
+00:18:32,450 --> 00:18:34,610
+الساعة اتناش مايقولش الساعة تلاتاش مايقولش الساعة
+
+204
+00:18:34,610 --> 00:18:38,810
+واحدة و هكذا يبقى كل اتناش ساعة بتتدعت من هنا
+
+205
+00:18:38,810 --> 00:18:43,450
+الدورة من جديد طبعا المقياس هنا كان12 ممكن تكون
+
+206
+00:18:43,450 --> 00:18:47,370
+المقاس تلاتة ممكن عشرة ممكن سبعة ممكن خمسة زي ما
+
+207
+00:18:47,370 --> 00:18:51,450
+بدك زي ما بدنا بناخد مقاسات وبناء عليه بنشغل
+
+208
+00:18:51,450 --> 00:18:56,110
+هالشغل هذي بعدين الاستنتاج الرياضي برضه هدرسنا في
+
+209
+00:18:56,110 --> 00:19:00,770
+مبادئ الرياضياتباختصار بجينا نقول نفرض انه او
+
+210
+00:19:00,770 --> 00:19:05,370
+نحاول نثبت انه العدد صحيح عند ال .. القاعدة
+
+211
+00:19:05,370 --> 00:19:09,270
+لمطالية صحية عند N تسوى واحد ثم نحاول .. نفرض
+
+212
+00:19:09,270 --> 00:19:14,770
+صحيتها عند N ونحاول اثبتها عند مين عند N زيد واحد
+
+213
+00:19:14,770 --> 00:19:19,180
+وها كدهيبقى هذا ال mathematical induction ال
+
+214
+00:19:19,180 --> 00:19:23,420
+equivalence relation يقول ان ال relation عدة أنواع
+
+215
+00:19:23,420 --> 00:19:27,000
+بقول عن ال relation انها equivalence relation إذا
+
+216
+00:19:27,000 --> 00:19:32,160
+حققت لي كام شرط ثلاثة شرط الشرط الأول تبقى
+
+217
+00:19:32,160 --> 00:19:37,320
+relation reflexive العنصر مرتبط مع نفسهتبقى
+
+218
+00:19:37,320 --> 00:19:41,360
+symmetric إذا الـ A مرتبطة مع الـ B يبقى الـ B
+
+219
+00:19:41,360 --> 00:19:45,120
+بتكون مرتبطة مع الـ A بال relation اللي عندنا
+
+220
+00:19:45,120 --> 00:19:49,640
+الأمر الثالث اللي هو ال transitive لو ال element A
+
+221
+00:19:49,640 --> 00:19:53,980
+مربوط مع B و B مربوط مع C إذا الـ A مربوط مع C أو
+
+222
+00:19:53,980 --> 00:20:00,100
+في relation ما بين الإذا تحققت الشروط التلاتة في
+
+223
+00:20:00,100 --> 00:20:02,700
+ال relation بقول ال relation اللي عندنا is an
+
+224
+00:20:02,700 --> 00:20:06,400
+equivalence relation بعد هيك بدنا نروح لمين لل
+
+225
+00:20:06,400 --> 00:20:09,980
+functions طبعا هنا في ال calculus أخدنا ال
+
+226
+00:20:09,980 --> 00:20:12,720
+functions وفي مبادئ الرياضية أخدنا ال functions
+
+227
+00:20:12,720 --> 00:20:17,200
+هنرجع نذكرتعريف ال function ال one to one function
+
+228
+00:20:17,200 --> 00:20:22,540
+ال on to function هدول ضروريات جدا خلال دراستنا في
+
+229
+00:20:22,540 --> 00:20:26,420
+مساق الجبر يعني بدك تعرف شو ال identity function
+
+230
+00:20:26,420 --> 00:20:29,300
+ايش ال one to one function ايش ال on to function
+
+231
+00:20:29,300 --> 00:20:32,780
+ال composition ما بين ال two functions لو كان one
+
+232
+00:20:32,780 --> 00:20:35,920
+to one هل الناتج one to one ولا لأ؟لو كانوا
+
+233
+00:20:35,920 --> 00:20:39,120
+التنتين انتوا هل الناتج انتوا ولا كل هذا الكلام
+
+234
+00:20:39,120 --> 00:20:44,440
+سنعرفه من خلال من؟ من خلال هذا ال chapter ومن خلال
+
+235
+00:20:44,440 --> 00:20:48,360
+الجزء تبع من؟ تبع ال functions يبقى هذه هي
+
+236
+00:20:48,360 --> 00:20:52,580
+المقدمات اللي عندنا بنجي لل chapter الثاني ال
+
+237
+00:20:52,580 --> 00:20:58,880
+chapter الثاني بناخد فيه ال groups ال groups اللي
+
+238
+00:20:58,880 --> 00:21:02,500
+هي المجموعات أو الترجمة الحقيقية حسب اللغة العربية
+
+239
+00:21:02,500 --> 00:21:09,470
+بنسميها الزمرالزمر اللي هي جمع .. جمع ايش؟ زمرة
+
+240
+00:21:09,470 --> 00:21:14,830
+الزمر هذه موجودة في القرآن الكريم؟ موجودة يعني في
+
+241
+00:21:14,830 --> 00:21:21,810
+صورة ايش؟ في صورة الزمر طيب و يعني قرآننا يشير إلى
+
+242
+00:21:21,810 --> 00:21:28,290
+هذا الموضوعومش زمرتين في آخر ياتي صورة الزمر بيقول
+
+243
+00:21:28,290 --> 00:21:34,210
+ربنا سبحانه وتعالى وسيقى الذين كفروا إلى جهنم زمرة
+
+244
+00:21:34,210 --> 00:21:39,490
+يعني على شكل مجموعات وبعدها بيقول وسيقى الذين
+
+245
+00:21:39,490 --> 00:21:45,170
+اتقوا ربهم إلى الجنة زمرة كذلك على شكل مجموعات شكل
+
+246
+00:21:45,170 --> 00:21:51,490
+مجموعات ليه؟لأنه جهنم دركات فالمجرمين اللي أكثر
+
+247
+00:21:51,490 --> 00:21:55,530
+جرمهم المنافقين بيكونوا في الدرك الأسفل من النار و
+
+248
+00:21:55,530 --> 00:22:00,950
+هدول عذابهم شديدة لفوق وخف لفوق وخف لفوق وخف لكن
+
+249
+00:22:00,950 --> 00:22:04,870
+الجنة بالعكس درجات الدرجة العليا هي اللي فوق
+
+250
+00:22:04,870 --> 00:22:09,990
+الفردوس الأعلىإذا سألتم الله سبحانه وتعالى فاسألوه
+
+251
+00:22:09,990 --> 00:22:15,170
+الفردوس الأعلى يعني مثل ما أعمال الناس بتكون على
+
+252
+00:22:15,170 --> 00:22:19,810
+شكل اللي هو زمر أو مجموعات ويساقوا طبقا لهذه
+
+253
+00:22:19,810 --> 00:22:25,170
+الأعمال إلى الجنة أو إلى النار فكذلك ال group إنها
+
+254
+00:22:25,170 --> 00:22:30,740
+عبارة عن مجموعة لها صفات معينةفي أن ثلاثة شروط
+
+255
+00:22:30,740 --> 00:22:35,660
+بنحط على الـ set بالإضافة إلى العملية الثنائية على
+
+256
+00:22:35,660 --> 00:22:40,980
+ال set بتصير عند group ويعني عند groups كثيرة كل
+
+257
+00:22:40,980 --> 00:22:45,420
+واحدة إلها صفات معينة لكن كلهم بدهم يشتركوا في
+
+258
+00:22:45,420 --> 00:22:49,720
+الشروط التلاتة الأساسية اللي هنعرفها في حينها يبقى
+
+259
+00:22:49,720 --> 00:22:55,350
+في هذا ال chapterهنعطي ال groups و أمثلة عالمين
+
+260
+00:22:55,350 --> 00:23:01,250
+على ال groups و بعض الخواص عالمين لل groups زي ايش
+
+261
+00:23:01,250 --> 00:23:08,930
+مثلاكل group لدينا حاجة اسمه عنصر محايد identity
+
+262
+00:23:08,930 --> 00:23:15,450
+element وفي عندنا كل عنصر له معكوس inverse element
+
+263
+00:23:15,450 --> 00:23:19,730
+هل ال inverse هذا وحيد و لا ممكن ألاقي العنصر له
+
+264
+00:23:19,730 --> 00:23:24,140
+أكتر من معكوسطبعا مافيش الا واحد وهذا مثلا يعني هو
+
+265
+00:23:24,140 --> 00:23:27,760
+نثبته فيه حيني ال identity element ماعنديش الا
+
+266
+00:23:27,760 --> 00:23:31,120
+identity واحد في ال group لو وجود اتنين بدهم
+
+267
+00:23:31,120 --> 00:23:35,820
+يكونوا اتنين are equivalent اتنين نفس الشيء تمام
+
+268
+00:23:35,820 --> 00:23:39,260
+يبقى هذا بالنسبة ال identity element و هكذا يعني
+
+269
+00:23:39,260 --> 00:23:45,820
+احنا هنعطيتعريف لل group ثم نعطي بعض الأمثلة على
+
+270
+00:23:45,820 --> 00:23:51,040
+ال group هذا وبعض الخصائص البسيطة لمن لل group هذا
+
+271
+00:23:51,040 --> 00:23:57,240
+ما سيكون في هذا الشبتر الشبتر تلاتة بدنا نيجي
+
+272
+00:23:57,240 --> 00:23:59,800
+لحاجة اسمها subgroups
+
+273
+00:24:03,000 --> 00:24:07,320
+subgroups يبقى أنا لجروب اللي عندى هذه يعنى مثلا
+
+274
+00:24:07,320 --> 00:24:11,980
+كيف لو جيت قولت للطلاب اللى فى القاعة هدول يمثلولى
+
+275
+00:24:11,980 --> 00:24:17,300
+لجروب طبعا خدت شوية منهم اخدت الشجة هذه السبعة
+
+276
+00:24:17,300 --> 00:24:23,740
+هدول هل هدول بيصيروا ايه جروب تحت نفس العملية اللى
+
+277
+00:24:23,740 --> 00:24:28,130
+موجودة على الجروب الاصلية ولا لأبمعنى السبعة هذول
+
+278
+00:24:28,130 --> 00:24:33,750
+فيهم ال identity element وفيهم كل عنصر له معكوس
+
+279
+00:24:33,750 --> 00:24:37,630
+ولا لأ وعملية ال associativity ان شاء الله هنشرحها
+
+280
+00:24:37,630 --> 00:24:41,550
+فيه هنا إذا انطبقت عليهم هذه اللي بقول هذول مثل ال
+
+281
+00:24:41,550 --> 00:24:46,210
+subgroup لو اختل واحد من الشروط هذه بقول بطل يصير
+
+282
+00:24:46,210 --> 00:24:51,250
+subgroup هاي إيش بتصير؟ بتصير subset مجموعة يزيية
+
+283
+00:24:51,250 --> 00:24:56,680
+لكنها ليست subgroup إذا ال subgroup هذههي مجموعة
+
+284
+00:24:56,680 --> 00:25:01,920
+جزئية من ال group اللي عندنا هذه وبدها ضالها group
+
+285
+00:25:01,920 --> 00:25:07,120
+تحت نفس العملية الرياضية المعرفة على ال group
+
+286
+00:25:07,120 --> 00:25:12,380
+الأصلية ان حدث ذلك بقول هذه subgroup ما حدث يبقى
+
+287
+00:25:12,380 --> 00:25:17,200
+انسى الموضوع هذه الست عادية وخلاصنا وليست subgroup
+
+288
+00:25:17,200 --> 00:25:22,340
+بدنا نيجي ل chapter أربع حاجة اسمها ال cyclic
+
+289
+00:25:22,340 --> 00:25:24,480
+groups
+
+290
+00:25:35,510 --> 00:25:42,650
+cyclic group يعني الزمرة الدائرية generator يعني
+
+291
+00:25:42,650 --> 00:25:49,010
+مولدمولد يعني بيولدلي جميع عناصر main جميع عناصر
+
+292
+00:25:49,010 --> 00:25:52,810
+ال group Cyclic group يعني إيش المقصود بالcyclic
+
+293
+00:25:52,810 --> 00:25:57,990
+group؟ group عادية هذه بس تحقق فيها شرط، إيش
+
+294
+00:25:57,990 --> 00:26:03,790
+الشرط؟ أخدت عنصر منها، العنصر هذا ربعته، قعدته، و
+
+295
+00:26:03,790 --> 00:26:07,230
+أس أربعة و أس خمسة و أس ستة و أس سبعة و أس عشرة و
+
+296
+00:26:07,230 --> 00:26:11,360
+انه جابلي جميع العناصر اللي موجودة في ال groupإن
+
+297
+00:26:11,360 --> 00:26:16,920
+حدث ذلك بقول هذا العنصر هو generator للجروب يبقى
+
+298
+00:26:16,920 --> 00:26:21,140
+هذا العنصر هو اللي بولدلي جميع عناصر الجروب بلا
+
+299
+00:26:21,140 --> 00:26:26,440
+استثناء يبقى إن حدث ذلك بقول هذا generator طب بدي
+
+300
+00:26:26,440 --> 00:26:31,220
+أسأل واحد يعني لو كانت الجروب cyclic كل عنصر بنفع
+
+301
+00:26:31,220 --> 00:26:38,350
+يكون generator الإجابة نعم ولا لا؟ لايعني ممكن
+
+302
+00:26:38,350 --> 00:26:44,530
+تلاقي two generators فيها يعني أي group فيها أكتر
+
+303
+00:26:44,530 --> 00:26:49,910
+من عنصره على الأقل فيها two generators مين هم ال
+
+304
+00:26:49,910 --> 00:26:54,790
+generators هدول؟ العنصر و معكوسهيمكن الجروب الواحد
+
+305
+00:26:54,790 --> 00:26:59,190
+اللي أجيه فيها إياش مولدين يمكن أربعة يمكن ستة
+
+306
+00:26:59,190 --> 00:27:03,930
+يبقى يمكن تمانية بس ماتبقاش ال trivial subgroup ال
+
+307
+00:27:03,930 --> 00:27:07,630
+trivial subgroup اللي مش فيها إلا أنصر واحد اللي
+
+308
+00:27:07,630 --> 00:27:11,970
+هو main أنصر الواحدة تمام؟ يبقى هاي المقصود
+
+309
+00:27:11,970 --> 00:27:17,090
+بالcyclic group وكذلك ال generators بعد الcyclic
+
+310
+00:27:17,090 --> 00:27:21,430
+group نجي لحاجة اسمة ال permutation group يبقى
+
+311
+00:27:21,430 --> 00:27:37,150
+chapter خمسةالحاجة اسمها ال permutation group ايش
+
+312
+00:27:37,150 --> 00:27:43,070
+ال permutation هذه يبقى احنا بنيجي على set وفيها
+
+313
+00:27:43,070 --> 00:27:47,130
+مجموعة من العناصر افترض في عندي مثلا تلت عناصر
+
+314
+00:27:47,790 --> 00:27:54,650
+التلات عناصر كام تبديلة بقدر اسوي منهم بحيث ولا
+
+315
+00:27:54,650 --> 00:27:59,630
+واحد هتكون زي التانية يعني مثلا لو جينا قولنا واحد
+
+316
+00:27:59,630 --> 00:28:04,630
+واثنين وتلاتة يبقى هذي بسميها تبديلة من التبديلة
+
+317
+00:28:04,630 --> 00:28:10,370
+هذي بقدر اخلق مجموعة من التبديلات تعرف كم من
+
+318
+00:28:10,370 --> 00:28:14,750
+التلات عناصر بتقدر تسوي تبديلات مرت عليكم بدأ
+
+319
+00:28:14,750 --> 00:28:20,930
+الرياضيات كم يعني؟مضروب تلاتة مضروب تلاتة يبقى
+
+320
+00:28:20,930 --> 00:28:25,610
+تلاتة في اتنين في واحد يبقى عندي ست تبديلات ممكن
+
+321
+00:28:25,610 --> 00:28:31,970
+اخلق من هذه التبديلات احنا بدنا ننشي جروب على
+
+322
+00:28:31,970 --> 00:28:37,990
+التبديلات اللي عندنا هذه وندرس بعض المعلومات على
+
+323
+00:28:37,990 --> 00:28:42,450
+هذه التبديلات وهل التبديلات بتبقى even ولا odd
+
+324
+00:28:42,720 --> 00:28:48,500
+وقداش رتبت هذه التبديلة وقداش وقداش الاخرى يبقى
+
+325
+00:28:48,500 --> 00:28:52,180
+هذا شغلنا اللي يكون وين اللي هيكون في هذا الشبطق
+
+326
+00:28:52,180 --> 00:28:56,900
+اللي هو ال permutation group يبقى permutation
+
+327
+00:28:56,900 --> 00:29:02,540
+تبديلة permutation group اللي هي مجموعة التبديلات
+
+328
+00:29:02,540 --> 00:29:09,210
+او زمرة التبديلاتبنجي لحاجة هنا اسمها isomorphisms
+
+329
+00:29:09,210 --> 00:29:14,570
+isomorphisms
+
+330
+00:29:14,570 --> 00:29:20,430
+و كذلك ال atomorphisms
+
+331
+00:29:20,430 --> 00:29:26,470
+طيب
+
+332
+00:29:33,130 --> 00:29:38,230
+الترجمة العربية بتقول التشكل النمطي أو التشابه
+
+333
+00:29:38,230 --> 00:29:42,990
+النمطيماذا يعني تشابه والنمط؟ يعني انا عندي group
+
+334
+00:29:42,990 --> 00:29:48,270
+وعندي group تانية اتنين فيه تشابه مابليه؟ ايش كيف
+
+335
+00:29:48,270 --> 00:29:52,790
+يعني تشابه؟ يعني هذا و هذا و هذا بنعم هذا؟ لأ مش
+
+336
+00:29:52,790 --> 00:29:57,590
+هيك في عندنا شروط الشروط لو تحققت على ال two
+
+337
+00:29:57,590 --> 00:30:02,550
+groups بقول ان هم دول اتنين فيهم تشابه نمطين
+
+338
+00:30:02,550 --> 00:30:07,530
+تعرفوا زي ايش مثلا؟يبقى لو جيت قولت هذه فيها سبعة
+
+339
+00:30:07,530 --> 00:30:13,710
+يبقى هذه فيها سبعة نفس العدد رتبة أي عنصر هنا زي
+
+340
+00:30:13,710 --> 00:30:19,390
+رتبة أي عنصر هنا عدد العناصر رتبتهم مثلا ستة جد
+
+341
+00:30:19,390 --> 00:30:23,250
+عدد العناصر اللي رتبتهم ستة عدد العناصر اللي
+
+342
+00:30:23,250 --> 00:30:27,830
+رتبتهم اتنين جد عدد العناصر اللي رتبتهم اتنينعدد
+
+343
+00:30:27,830 --> 00:30:31,450
+ال subgroups هنا جد عدد ال subgroups هنا ده اسمه
+
+344
+00:30:31,450 --> 00:30:37,230
+تشابه نمطي أو تشاكل نمطي طيب يبقى ايش يعني
+
+345
+00:30:37,230 --> 00:30:41,450
+isomorphism ان احنا شرحنا كلام بلدي لك رياضيا
+
+346
+00:30:41,450 --> 00:30:47,990
+بنقول ال isomorphism هو function ما بين two groups
+
+347
+00:30:47,990 --> 00:30:55,300
+يبقى لو جهتي قلتلك افترض عندي فيفانكشن من الجروب
+
+348
+00:30:55,300 --> 00:31:02,280
+جي إلى الجروب جي بار مثلا كويس يبقى هذا عشان يكون
+
+349
+00:31:02,280 --> 00:31:07,000
+ايزو مورفزم تتحقق بعض الشروط اول شي هي function
+
+350
+00:31:08,740 --> 00:31:15,860
+تلاتة تبقى one to one تلاتة تبقى onto ان حدث ذلك
+
+351
+00:31:15,860 --> 00:31:20,840
+بقول هذه ال function one to one and onto كمان في
+
+352
+00:31:20,840 --> 00:31:27,860
+خاصية لازم اتحقها وهي في تأثيرها على ال X Y في
+
+353
+00:31:27,860 --> 00:31:34,160
+تأثيرها على عنصر X في Y بتساوي في of X في of Y
+
+354
+00:31:35,360 --> 00:31:40,700
+تمام؟ هنا في عملية ما بين العنصرين ضرب جمع طرح
+
+355
+00:31:40,700 --> 00:31:45,920
+الجسم أخدوس حسب ما هي معرفة على G هنا كمان في
+
+356
+00:31:45,920 --> 00:31:49,520
+عملية ما بين العنصر هذا والعنصر هذا هي العملية
+
+357
+00:31:49,520 --> 00:31:54,480
+المعرفة على G bar والتي قد تكون تاعة العملية G وقد
+
+358
+00:31:54,480 --> 00:32:00,470
+تكون غيرها وفي الغالب غيرهايبقى هذا الشرط مع ال
+
+359
+00:32:00,470 --> 00:32:05,490
+one to one and one to two إذا حدث ذلك تحققت الشروط
+
+360
+00:32:05,490 --> 00:32:11,370
+التلاتة بقول الفاية عندي هذه isomorphism وبالتالي
+
+361
+00:32:11,370 --> 00:32:17,320
+بقول الجي والجي بار are isomorphicأيزو مورفك يعني
+
+362
+00:32:17,320 --> 00:32:22,280
+في ايزو مورفزم ما بين من؟ ما بين ال two groups
+
+363
+00:32:22,280 --> 00:32:26,600
+يبقى معنا هذا الكلام لما جينا قولنالكوا هنا بدنا
+
+364
+00:32:26,600 --> 00:32:30,980
+نتكلم على ال functions و نذكر بين one to one and
+
+365
+00:32:30,980 --> 00:32:35,310
+untoمش بلاش من ذاكره يبقى هذه الأساسيات اللي
+
+366
+00:32:35,310 --> 00:32:38,770
+بتلزمنا للي قدام روح نعطيها لك في ال chapter اول
+
+367
+00:32:38,770 --> 00:32:43,350
+يبقى لما ناجي اقولك automatic phi is one to one
+
+368
+00:32:43,350 --> 00:32:46,450
+يبقى فيه one to one function يبقى كنت ماخد ال one
+
+369
+00:32:46,450 --> 00:32:50,410
+to one function في اول chapter في المقدمة ان قلت
+
+370
+00:32:50,410 --> 00:32:55,250
+لك phi is onto يبقى هنا فهمتك ما معنى onto
+
+371
+00:32:55,250 --> 00:32:58,590
+functionلو جيت سؤال تعالى واحد يقولش يعني onto
+
+372
+00:32:58,590 --> 00:33:01,550
+function بيقول يعني ده الفوقية بيقول له ده ترجمة
+
+373
+00:33:01,550 --> 00:33:06,150
+عربية انا موديش ترجمة عربية انا بدي ترجمة رياضية
+
+374
+00:33:06,150 --> 00:33:13,150
+حد فيكم يتذكر ايش يعني معنى onto function دي اللي
+
+375
+00:33:13,150 --> 00:33:18,310
+درسيه مبادئ onto function ايش معناها رياضيا؟ قولي
+
+376
+00:33:18,310 --> 00:33:21,350
+اللي انت فاهم وموديش حافظ نص عن غيرك، بتفضل
+
+377
+00:33:28,820 --> 00:33:34,880
+انا عندى ست a وست b فى من a إلى b is a function
+
+378
+00:33:34,880 --> 00:33:37,200
+وقتش هدى بقول عليها أنتوا
+
+379
+00:33:40,780 --> 00:33:46,420
+مية المية اذا جيت اخدت اي عنصر من الست بي لجيته
+
+380
+00:33:46,420 --> 00:33:50,620
+اصل وين في ايه يعني ماعنها كلام ان ال function دي
+
+381
+00:33:50,620 --> 00:33:56,500
+غطت جميع عناصر بي لستنها لان ال function يا شباب
+
+382
+00:33:56,500 --> 00:34:01,940
+من الست اي لست بي ليس بالضرورة تغطي لجميع عناصر بي
+
+383
+00:34:01,940 --> 00:34:05,840
+لكن بتغطي اجبار جميع عناصر اي لان ال اي هو ال
+
+384
+00:34:05,840 --> 00:34:11,150
+domain تبعها تمام اذا مش هتكون انتوابدي يكون ال
+
+385
+00:34:11,150 --> 00:34:14,870
+range تبع هذه ال function هو نفس ال code main
+
+386
+00:34:14,870 --> 00:34:19,990
+بالضبط يعني جميع عناصر B كلهم بدهم يظهروا كصور
+
+387
+00:34:19,990 --> 00:34:25,130
+لعناصر A بلاست اتناء هذا ال onto ال one to one
+
+388
+00:34:25,130 --> 00:34:29,690
+زواج كاتوليكي الواحد مالوش الا واحدة جوزه بس غير
+
+389
+00:34:29,690 --> 00:34:34,810
+هي كده ممنوع عندنا المسعية اه مش عندنايبقى العنصر
+
+390
+00:34:34,810 --> 00:34:39,430
+الواحد له صورة واحدة ولا واحد بيشاركوا فيها مش
+
+391
+00:34:39,430 --> 00:34:43,010
+عنصرين بيشتركوا في نفس الصورة إذا اشترك عنصرا في
+
+392
+00:34:43,010 --> 00:34:47,290
+نفس الصورة يبقى في هذه الحالة ال function ليست one
+
+393
+00:34:47,290 --> 00:34:51,310
+to one طب إذا العنصر طالع لصفتان يبقى ماهياش
+
+394
+00:34:51,310 --> 00:34:56,790
+function من الأساس يبقى ال five function بدأت حقق
+
+395
+00:34:56,790 --> 00:35:01,760
+الخاصية هذه بتبقى one to one and untoوهذه من ال
+
+396
+00:35:01,760 --> 00:35:06,960
+group G إلى ال group G bar طبعاً وحنعطي أمثلة
+
+397
+00:35:06,960 --> 00:35:11,950
+عديدة على ذلك وبعض النظريات المتعلقة بهابنجي لل
+
+398
+00:35:11,950 --> 00:35:18,470
+atomorphism شو يعني atomorphism هو function فاي بس
+
+399
+00:35:18,470 --> 00:35:24,230
+من جي إلى جي itself مش لوحدة تانية هنا جي و هنا جي
+
+400
+00:35:24,230 --> 00:35:28,550
+بربوا اختلفوا عن بعض تماما هاي شجة و هاي شجة تانية
+
+401
+00:35:28,550 --> 00:35:32,300
+و ليهم مش علاقة ببعض ولا بقرب ولا بعض ولا غيرهلكن
+
+402
+00:35:32,300 --> 00:35:36,920
+عندما أقول من ال group G إلى ال group G itself ال
+
+403
+00:35:36,920 --> 00:35:43,240
+isomorphism هذا بسميه ايه؟ بسميه atomorphism يبقى
+
+404
+00:35:43,240 --> 00:35:48,500
+كأن ال atomorphism هو حالة خاصة من مهممن
+
+405
+00:35:48,500 --> 00:35:53,080
+isomorphism ال isomorphism من group ل group تانية
+
+406
+00:35:53,080 --> 00:35:56,940
+لكن ال atomorphism من ال group لنفس main لنفس
+
+407
+00:35:56,940 --> 00:36:01,380
+group وهو isomorphism one to one وانتوا و بحقق
+
+408
+00:36:01,380 --> 00:36:05,180
+لمين الخاصية اللي عندنا هذه إن حدث ذلك يبقى هذا
+
+409
+00:36:05,180 --> 00:36:11,140
+بسميه atomorphism وسنحسب بعض ال atomorphisms لمين
+
+410
+00:36:11,140 --> 00:36:19,550
+لبعض ال group بعد ذلك بنجي ل chapter 7سابعة بنا
+
+411
+00:36:19,550 --> 00:36:26,210
+نيجي ناخد حاجة اسمها cosets and Lagrange theorem
+
+412
+00:36:26,210 --> 00:36:38,670
+coset
+
+413
+00:36:38,670 --> 00:36:44,690
+كلمة جديدة هنا set اللي فيها او مجموعة co مرافق
+
+414
+00:36:45,070 --> 00:36:51,750
+يبقى هى الست جديدة وولدناها من شيء ما شو شيء ما؟
+
+415
+00:36:51,750 --> 00:36:57,710
+شايف عندى هذه ال subgroup أخدت عنصر من برا ال
+
+416
+00:36:57,710 --> 00:37:02,150
+subgroup لكن من نفس ال group ضربته في هذه ال
+
+417
+00:37:02,150 --> 00:37:06,590
+subgroup من جهة اليمين او من جهة الشمال ان كان
+
+418
+00:37:06,590 --> 00:37:10,930
+الضرب من جهة الشمال بسميه left corset وان كان
+
+419
+00:37:10,930 --> 00:37:16,690
+الضرب من جهة اليمين بسميها right corsetالكوسيت هذي
+
+420
+00:37:16,690 --> 00:37:22,110
+يمكن تطلع subgroup ويمكن ما تطلعش subgroup يبقى in
+
+421
+00:37:22,110 --> 00:37:25,710
+general ال left كوسيت او ال right كوسيت ليس
+
+422
+00:37:25,710 --> 00:37:31,430
+بالضرورة ان تكون subgroup من ال group الأصلية ما
+
+423
+00:37:31,430 --> 00:37:36,600
+علينا يبقى احناجبنا حاجة جديدة اسمها كوسيت ال
+
+424
+00:37:36,600 --> 00:37:40,620
+group الأصلية أخد جزء من أسر subgroup ال subgroup
+
+425
+00:37:40,620 --> 00:37:45,580
+جبت عنصر ضربته فيه عناصرها كلهم طلع عندهمين اللي
+
+426
+00:37:45,580 --> 00:37:52,280
+هو الكوسيت كويس يبقى الكوسيت هذي جبت عنصر تاني
+
+427
+00:37:52,280 --> 00:37:55,560
+طلعت كوسيت تانية جبت عنصر تانية ضربته فيه طلع
+
+428
+00:37:55,560 --> 00:38:00,010
+كوسيت تانية و هكذاطبعا يبقى هذا مفهوم ال process
+
+429
+00:38:00,010 --> 00:38:04,190
+and Lagrange theory بنظرية Lagrange هذه بتلعب دور
+
+430
+00:38:04,190 --> 00:38:10,690
+كبير جديد في علم الجبر بالبلد هيك باختصار بيقول ال
+
+431
+00:38:10,690 --> 00:38:13,370
+order لصبي جروبي بيجسم
+
+432
+00:38:19,410 --> 00:38:25,290
+العدد العناصر في ال subgroup يقسم عدد العناصر في
+
+433
+00:38:25,290 --> 00:38:30,790
+ال group إذا كان العدد اللي هو finite عددا محدودا
+
+434
+00:38:30,790 --> 00:38:35,170
+يبقى هذه اللي بتقوله من؟ هذه اللي بتقوله نظرية
+
+435
+00:38:35,170 --> 00:38:40,180
+Lagrangeهذه عمود فقري في علم الجبرو خاصة بالنسبة
+
+436
+00:38:40,180 --> 00:38:45,400
+لموضوع main بالنسبة لموضوع gross هذا بالنسبة ل
+
+437
+00:38:45,400 --> 00:38:49,420
+main لنظرية Lagrange ابنجي بعد ذلك حاجة اسم ال
+
+438
+00:38:49,420 --> 00:38:53,120
+external indirect product يبقى ال chapter تمانية
+
+439
+00:38:53,120 --> 00:39:01,320
+حاجة اسمها ال external direct product
+
+440
+00:39:01,320 --> 00:39:08,310
+ايش ال external direct productيبقى أنا بدي أكوّن
+
+441
+00:39:08,310 --> 00:39:13,730
+group جديدة من two groups موجودة، هذه group وهذه
+
+442
+00:39:13,730 --> 00:39:18,970
+group تانية، ثانيا منهم بدي أكوّن group جديدة عن
+
+443
+00:39:18,970 --> 00:39:24,210
+طريق حاجة اسمه حاصل الضرب الخارجي external خارجي
+
+444
+00:39:24,470 --> 00:39:29,750
+كيف يعني؟ بصير العنصر، بدأ أقول هذه group G1 وهذه
+
+445
+00:39:29,750 --> 00:39:35,270
+group G2 يبقى G1 cross G2، هذا بدأ أرمز إلى مين؟
+
+446
+00:39:35,270 --> 00:39:40,810
+للضرب الخارج، يمين عناصر وكل عنصر ordered pair زوج
+
+447
+00:39:40,810 --> 00:39:45,150
+مرتب، عنصر هنا مع عنصر هنا، اتنين تأور ضرب الكقص،
+
+448
+00:39:45,150 --> 00:39:49,070
+بقول هذا عنصر واحد في مين؟ فال group الجديدة يعني
+
+449
+00:39:49,070 --> 00:39:55,690
+أنا بدي أنشئ group جديدة من two groupsموجودة طيب
+
+450
+00:39:55,690 --> 00:40:00,570
+هذا هو حاصل الضرب الخارجي في حاصل ضرب داخلي اه في
+
+451
+00:40:00,570 --> 00:40:06,030
+حاصل ضرب داخلي وهذا مثلا نشير اليه بعد قليل يبقى
+
+452
+00:40:06,030 --> 00:40:10,910
+هذا هو ال external direct product بدنا نيجي لتسعة
+
+453
+00:40:10,910 --> 00:40:15,730
+حاجة اسمها normal subgroups يبقى هنا normal
+
+454
+00:40:15,730 --> 00:40:19,350
+subgroups
+
+455
+00:40:21,580 --> 00:40:27,080
+هذه يا شباب أهم أنواع ال subgroups و بتلعب دور
+
+456
+00:40:27,080 --> 00:40:33,300
+كبير جدا في موضوع اللي هو ال groups إذا حصلت على
+
+457
+00:40:33,300 --> 00:40:38,880
+normal subgroup بقدر أنشئ group جديدة المن المين
+
+458
+00:40:38,880 --> 00:40:42,820
+من كلمة اللي هو ال cosets اللي عندنا بقدر أعمل
+
+459
+00:40:42,820 --> 00:40:48,440
+cosets و ال cosets يعملولي group جديدة بسميها ال
+
+460
+00:40:48,440 --> 00:40:56,210
+factor groupfactor group وزيادة
+
+461
+00:40:56,210 --> 00:41:00,670
+على ذلك باجي كمان نقطة اخرى internal direct
+
+462
+00:41:00,670 --> 00:41:08,530
+product و كذلك internal direct product
+
+463
+00:41:11,440 --> 00:41:15,580
+بس ال internal غير ال external external بجيب group
+
+464
+00:41:15,580 --> 00:41:19,100
+مع group تانية ال internal لأ داخل ال group
+
+465
+00:41:19,100 --> 00:41:23,640
+الواحدة بجيب sub group و بجيب sub group تانية طبعا
+
+466
+00:41:23,640 --> 00:41:29,120
+ال two sub groups هذول بروح بدربهم في بعض لو كان
+
+467
+00:41:29,120 --> 00:41:33,480
+حاصل ضربهم يعطوني ال group الأساسية و التقاطهم
+
+468
+00:41:33,480 --> 00:41:37,910
+يعطوني بس عنصر واحدة بسمي هذاinternal direct
+
+469
+00:41:37,910 --> 00:41:42,870
+product يعني احنا بنشتغل داخل ال group الواحدة
+
+470
+00:41:42,870 --> 00:41:48,250
+بطلع منها ال internal direct product تمام اخر
+
+471
+00:41:48,250 --> 00:41:56,550
+section عاشرة حاجة اسمها ال homomorphism
+
+472
+00:41:56,550 --> 00:42:04,200
+ايش ال homomorphismهو عبارة عن الـ function هذه
+
+473
+00:42:04,200 --> 00:42:10,940
+Phi من G إلى G bar بس هذه مش لازم تكون one to one
+
+474
+00:42:10,940 --> 00:42:17,320
+ولو انتوا بس تحققلي الشرط هنا اللهم إلا فقط لغاية
+
+475
+00:42:17,320 --> 00:42:25,950
+يبقى هنا Phi of XY بدل سوى Phi of X في Phi of Yإذا
+
+476
+00:42:25,950 --> 00:42:31,590
+تحقق هذا الشرق بقول هذا هو homomorphism و برضه
+
+477
+00:42:31,590 --> 00:42:35,490
+عليه مجموعة من نظريات لباسية بها و section طويل
+
+478
+00:42:35,490 --> 00:42:39,670
+شوية يعني في مجموعة من البراهين و مجموعة من نظريات
+
+479
+00:42:39,670 --> 00:42:45,520
+و مجموعة من الشغلات يعنيهذا اللي قدامك هو الإطار
+
+480
+00:42:45,520 --> 00:42:50,500
+العام لمين لال مقرر في جبر حديث واحد كل الشغلات
+
+481
+00:42:50,500 --> 00:42:56,000
+اللتي سندرسها في اللي هو جبر حديث واحد بعد هيك
+
+482
+00:42:56,000 --> 00:43:00,940
+بيجينا جبر حديث اتنين للفصل الثاني وهذا مش الكل في
+
+483
+00:43:00,940 --> 00:43:06,280
+كوه قبل اخر الان حد فيكم بيحب يسأل اي سؤال بالنسبة
+
+484
+00:43:06,280 --> 00:43:10,460
+للي سمعه اليوم في المحاضرة او اي سؤال بيدور في
+
+485
+00:43:10,460 --> 00:43:11,180
+دماغك
+
+486
+00:43:19,140 --> 00:43:24,860
+والله عمود في قرية هذه كلها براهين وانت أخدت في
+
+487
+00:43:24,860 --> 00:43:27,540
+المبادئ الرياضية اللي ما أخدش فيها حد يسمع ال
+
+488
+00:43:27,540 --> 00:43:32,040
+direct proof برهان مباشر في proof بال
+
+489
+00:43:32,040 --> 00:43:37,440
+contrapositiveتمشي تمشي العكس في لا التناقض اسمه
+
+490
+00:43:37,440 --> 00:43:40,780
+ال contradiction طريقة تالتة اللي هي طريقة ال
+
+491
+00:43:40,780 --> 00:43:44,440
+contradiction إذا مش ماخد مبادر رياضيات لا يمكن
+
+492
+00:43:44,440 --> 00:43:49,500
+أنك تفهم حاجة معانا هنا لإن شغلنا كله يعني قول
+
+493
+00:43:49,500 --> 00:43:55,780
+بنسبة 70% براهينكلها براهيم، مبادر رياضية بتعلمك
+
+494
+00:43:55,780 --> 00:44:00,220
+كيف تبرم، بتعلمك هي ال logic، المنطقة الرياضية،
+
+495
+00:44:00,220 --> 00:44:03,920
+كيف يصير عندك منطقة رياضية تفهم و أنت ستطيع تبرم،
+
+496
+00:44:03,920 --> 00:44:07,640
+ما أنتش ماخد مبادر رياضيات، يبقى أنت جاي على عمارة
+
+497
+00:44:07,640 --> 00:44:13,290
+بلا أساسات، بس تطلع شوية بتهيلتقدرش تتحمل ايه
+
+498
+00:44:13,290 --> 00:44:16,430
+الحمل؟ يبقى احنا بيقولك اذا مش ماخد روح اسحب
+
+499
+00:44:16,430 --> 00:44:20,570
+المادة وروح تسجل مبادئ رياضيات لإنها نازلة الحين
+
+500
+00:44:20,570 --> 00:44:26,110
+مع الدكتور أحمد المبحوح تمام؟ لكن اذا مسجل
+
+501
+00:44:26,110 --> 00:44:29,790
+الماديتين مع بعض مافيش مشكلة لكن ما انتش مسجل
+
+502
+00:44:29,790 --> 00:44:34,130
+اديك، cancel الموضوع خلاص، حد بدي أسأل تاني؟
+
+503
+00:44:34,130 --> 00:44:38,230
+ننتظركوا الساعة اتناشر ان شاء الله في هذا المكان
+
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/iL2JhRM8vU8_raw.json b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/iL2JhRM8vU8_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..aab4260a61d9d8e1b96656a62e250d0aff8d0937
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/iL2JhRM8vU8_raw.json
@@ -0,0 +1 @@
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"end": 329.43, "word": " دول", "probability": 0.734619140625}, {"start": 329.43, "end": 329.69, "word": " هم", "probability": 0.80419921875}, {"start": 329.69, "end": 330.43, "word": " هما", "probability": 0.578125}, {"start": 330.43, "end": 330.89, "word": " زائد", "probability": 0.90283203125}, {"start": 330.89, "end": 331.29, "word": " حصل", "probability": 0.8876953125}, {"start": 331.29, "end": 331.57, "word": " ضرب", "probability": 0.9892578125}, {"start": 331.57, "end": 332.23, "word": " التلاتة", "probability": 0.979736328125}, {"start": 332.23, "end": 332.55, "word": " زائد", "probability": 0.91943359375}, {"start": 332.55, "end": 332.97, "word": " حصل", "probability": 0.9921875}, {"start": 332.97, "end": 333.43, "word": " ضرب", "probability": 0.995361328125}, {"start": 333.43, "end": 334.39, "word": " التلاتة", "probability": 0.9893798828125}], "temperature": 1.0}, {"id": 15, "seek": 35245, "start": 334.61, "end": 352.45, "text": "يبقى بناء علي اتنين هذول مالهم بيسووا بعض يبقى بروح بقوله هنا from واحد and اتنين we have ان ال a star b", "tokens": [1829, 3555, 4587, 7578, 44945, 16606, 25894, 1975, 2655, 1863, 9957, 8032, 8848, 12610, 3714, 6027, 16095, 4724, 1829, 3794, 2407, 14407, 45030, 11242, 7251, 3555, 4587, 7578, 4724, 32887, 5016, 4724, 39648, 3224, 34105, 490, 36764, 24401, 293, 1975, 2655, 1863, 9957, 321, 362, 16472, 2423, 257, 3543, 272], "avg_logprob": -0.21415440475239472, "compression_ratio": 1.3253968253968254, "no_speech_prob": 0.0, "words": [{"start": 334.61, "end": 335.07, "word": "يبقى", "probability": 0.80377197265625}, {"start": 335.07, "end": 335.43, "word": " بناء", "probability": 0.85546875}, {"start": 335.43, "end": 336.01, "word": " علي", "probability": 0.16015625}, {"start": 336.01, "end": 337.03, "word": " اتنين", "probability": 0.9007568359375}, {"start": 337.03, "end": 337.41, "word": " هذول", "probability": 0.68994140625}, {"start": 337.41, "end": 337.95, "word": " مالهم", "probability": 0.8013509114583334}, {"start": 337.95, "end": 338.95, "word": " بيسووا", "probability": 0.79111328125}, {"start": 338.95, "end": 339.33, "word": " بعض", "probability": 0.982421875}, {"start": 339.33, "end": 339.97, "word": " يبقى", "probability": 0.9029541015625}, {"start": 339.97, "end": 340.35, "word": " بروح", "probability": 0.9288736979166666}, {"start": 340.35, "end": 340.95, "word": " بقوله", "probability": 0.8606770833333334}, {"start": 340.95, "end": 341.33, "word": " هنا", "probability": 0.97265625}, {"start": 341.33, "end": 341.63, "word": " from", "probability": 0.8076171875}, {"start": 341.63, "end": 344.63, "word": " واحد", "probability": 0.787353515625}, {"start": 344.63, "end": 345.75, "word": " and", "probability": 0.94970703125}, {"start": 345.75, "end": 347.19, "word": " اتنين", "probability": 0.97705078125}, {"start": 347.19, "end": 347.93, "word": " we", "probability": 0.76025390625}, {"start": 347.93, "end": 348.55, "word": " have", "probability": 0.97314453125}, {"start": 348.55, "end": 350.27, "word": " ان", "probability": 0.8046875}, {"start": 350.27, "end": 350.59, "word": " ال", "probability": 0.92431640625}, {"start": 350.59, "end": 351.09, "word": " a", "probability": 0.72314453125}, {"start": 351.09, "end": 352.03, "word": " star", "probability": 0.47314453125}, {"start": 352.03, "end": 352.45, "word": " b", "probability": 0.72607421875}], "temperature": 1.0}, {"id": 16, "seek": 38114, "start": 353.8, "end": 381.14, "text": "star c بده يساوي a star b star c يبقى هذا معناته ان ال star مالها is associative يبقى هنا so ال star is an associative binary operation", "tokens": [9710, 269, 47525, 3224, 7251, 3794, 995, 45865, 257, 3543, 272, 3543, 269, 7251, 3555, 4587, 7578, 23758, 20449, 8315, 47395, 16472, 2423, 3543, 3714, 6027, 11296, 307, 4180, 1166, 7251, 3555, 4587, 7578, 34105, 370, 2423, 3543, 307, 364, 4180, 1166, 17434, 6916], "avg_logprob": -0.24322917328940497, "compression_ratio": 1.4146341463414633, "no_speech_prob": 0.0, "words": [{"start": 353.8, "end": 354.56, "word": "star", "probability": 0.1475830078125}, {"start": 354.56, "end": 355.22, "word": " c", "probability": 0.38330078125}, {"start": 355.22, "end": 356.34, "word": " بده", "probability": 0.30279541015625}, {"start": 356.34, "end": 357.1, "word": " يساوي", "probability": 0.9625244140625}, {"start": 357.1, "end": 357.88, "word": " a", "probability": 0.75}, {"start": 357.88, "end": 358.9, "word": " star", "probability": 0.720703125}, {"start": 358.9, "end": 359.5, "word": " b", "probability": 0.9521484375}, {"start": 359.5, "end": 360.72, "word": " star", "probability": 0.8798828125}, {"start": 360.72, "end": 361.38, "word": " c", "probability": 0.98974609375}, {"start": 361.38, "end": 362.46, "word": " يبقى", "probability": 0.9488525390625}, {"start": 362.46, "end": 362.74, "word": " هذا", "probability": 0.71875}, {"start": 362.74, "end": 363.24, "word": " معناته", "probability": 0.8572591145833334}, {"start": 363.24, "end": 363.38, "word": " ان", "probability": 0.6923828125}, {"start": 363.38, "end": 363.52, "word": " ال", "probability": 0.9033203125}, {"start": 363.52, "end": 363.78, "word": " star", "probability": 0.6279296875}, {"start": 363.78, "end": 364.42, "word": " مالها", "probability": 0.8487955729166666}, {"start": 364.42, "end": 365.26, "word": " is", "probability": 0.9326171875}, {"start": 365.26, "end": 366.6, "word": " associative", "probability": 0.958251953125}, {"start": 366.6, "end": 367.9, "word": " يبقى", "probability": 0.9664306640625}, {"start": 367.9, "end": 368.44, "word": " هنا", "probability": 0.9833984375}, {"start": 368.44, "end": 369.34, "word": " so", "probability": 0.251708984375}, {"start": 369.34, "end": 370.54, "word": " ال", "probability": 0.68359375}, {"start": 370.54, "end": 371.38, "word": " star", "probability": 0.8935546875}, {"start": 371.38, "end": 372.56, "word": " is", "probability": 0.9638671875}, {"start": 372.56, "end": 373.9, "word": " an", "probability": 0.6171875}, {"start": 373.9, "end": 378.36, "word": " associative", "probability": 0.988037109375}, {"start": 378.36, "end": 380.4, "word": " binary", "probability": 0.87353515625}, {"start": 380.4, "end": 381.14, "word": " operation", "probability": 0.94384765625}], "temperature": 1.0}, {"id": 17, "seek": 41242, "start": 388.36, "end": 412.42, "text": "يبقى خلّصنا النقطة الأولى بدي أجل النقطة التانية بدي أثبت أنه في عندي identity element وطبقا لهذه العملية بدي أعرفش إيه شكل هذا ال identity element إذا أنا هفترض أن عندي identity element E وشوف ال E بقدر أجيب له قيمة ولا بقدرش", "tokens": [1829, 3555, 4587, 7578, 16490, 1211, 11703, 9381, 8315, 28239, 47432, 3660, 16247, 12610, 7578, 4724, 16254, 5551, 7435, 1211, 28239, 47432, 3660, 16712, 7649, 10632, 4724, 16254, 5551, 12984, 3555, 2655, 14739, 3224, 8978, 18871, 16254, 6575, 4478, 4032, 9566, 3555, 4587, 995, 46740, 24192, 18863, 42213, 10632, 4724, 16254, 5551, 3615, 28480, 8592, 11933, 1829, 3224, 13412, 28820, 23758, 2423, 6575, 4478, 11933, 15730, 41850, 8032, 5172, 2655, 43042, 14739, 18871, 16254, 6575, 4478, 462, 4032, 8592, 38688, 2423, 462, 4724, 28543, 2288, 5551, 7435, 1829, 3555, 46740, 12174, 32640, 3660, 49429, 4724, 28543, 2288, 8592], "avg_logprob": -0.24826387744961362, "compression_ratio": 1.8333333333333333, "no_speech_prob": 0.0, "words": [{"start": 388.36, "end": 388.74, "word": "يبقى", "probability": 0.67657470703125}, {"start": 388.74, "end": 389.24, "word": " خلّصنا", "probability": 0.778759765625}, {"start": 389.24, "end": 389.64, "word": " النقطة", "probability": 0.9578450520833334}, {"start": 389.64, "end": 390.08, "word": " الأولى", "probability": 0.9342447916666666}, {"start": 390.08, "end": 390.72, "word": " بدي", "probability": 0.354583740234375}, {"start": 390.72, "end": 391.04, "word": " أجل", "probability": 0.4732259114583333}, {"start": 391.04, "end": 391.72, "word": " النقطة", "probability": 0.9607747395833334}, {"start": 391.72, "end": 392.28, "word": " التانية", "probability": 0.9606119791666666}, {"start": 392.28, "end": 395.08, "word": " بدي", "probability": 0.807861328125}, {"start": 395.08, "end": 395.68, "word": " أثبت", "probability": 0.974609375}, {"start": 395.68, "end": 396.46, "word": " أنه", "probability": 0.5615234375}, {"start": 396.46, "end": 396.6, "word": " في", "probability": 0.5654296875}, {"start": 396.6, "end": 396.98, "word": " عندي", "probability": 0.7318115234375}, {"start": 396.98, "end": 397.62, "word": " identity", "probability": 0.86474609375}, {"start": 397.62, "end": 398.34, "word": " element", "probability": 0.96533203125}, {"start": 398.34, "end": 399.76, "word": " وطبقا", "probability": 0.89716796875}, {"start": 399.76, "end": 400.24, "word": " لهذه", "probability": 0.7451171875}, {"start": 400.24, "end": 400.74, "word": " العملية", "probability": 0.9611002604166666}, {"start": 400.74, "end": 400.94, "word": " بدي", "probability": 0.699462890625}, {"start": 400.94, "end": 401.34, "word": " أعرفش", "probability": 0.75701904296875}, {"start": 401.34, "end": 401.68, "word": " إيه", "probability": 0.7369791666666666}, {"start": 401.68, "end": 402.14, "word": " شكل", "probability": 0.82666015625}, {"start": 402.14, "end": 402.48, "word": " هذا", "probability": 0.6025390625}, {"start": 402.48, "end": 402.86, "word": " ال", "probability": 0.83251953125}, {"start": 402.86, "end": 403.48, "word": " identity", "probability": 0.8359375}, {"start": 403.48, "end": 404.04, "word": " element", "probability": 0.98486328125}, {"start": 404.04, "end": 404.48, "word": " إذا", "probability": 0.730712890625}, {"start": 404.48, "end": 405.36, "word": " أنا", "probability": 0.47607421875}, {"start": 405.36, "end": 405.92, "word": " هفترض", "probability": 0.862548828125}, {"start": 405.92, "end": 406.1, "word": " أن", "probability": 0.6318359375}, {"start": 406.1, "end": 406.48, "word": " عندي", "probability": 0.82080078125}, {"start": 406.48, "end": 407.18, "word": " identity", "probability": 0.95703125}, {"start": 407.18, "end": 408.1, "word": " element", "probability": 0.98388671875}, {"start": 408.1, "end": 408.56, "word": " E", "probability": 0.576171875}, {"start": 408.56, "end": 409.64, "word": " وشوف", "probability": 0.87451171875}, {"start": 409.64, "end": 409.9, "word": " ال", "probability": 0.96533203125}, {"start": 409.9, "end": 410.12, "word": " E", "probability": 0.884765625}, {"start": 410.12, "end": 410.68, "word": " بقدر", "probability": 0.9736328125}, {"start": 410.68, "end": 411.02, "word": " أجيب", "probability": 0.954833984375}, {"start": 411.02, "end": 411.2, "word": " له", "probability": 0.81689453125}, {"start": 411.2, "end": 411.52, "word": " قيمة", "probability": 0.9720052083333334}, {"start": 411.52, "end": 411.72, "word": " ولا", "probability": 0.8291015625}, {"start": 411.72, "end": 412.42, "word": " بقدرش", "probability": 0.949462890625}], "temperature": 1.0}, {"id": 18, "seek": 44019, "start": 412.73, "end": 440.19, "text": "إذا قدرنا نجيب له قيمة معناته موجود ماقدرنا معناته مش موجود فرضي مش صحيح يبقى بناء عليه بداية أقول له assume أفترض that أن ال E is the identity element of G", "tokens": [28814, 15730, 12174, 3215, 2288, 8315, 8717, 7435, 1829, 3555, 46740, 12174, 32640, 3660, 20449, 8315, 47395, 3714, 29245, 23328, 19446, 28543, 2288, 8315, 20449, 8315, 47395, 37893, 3714, 29245, 23328, 6156, 43042, 1829, 37893, 20328, 5016, 1829, 5016, 7251, 3555, 4587, 7578, 44945, 16606, 47356, 4724, 28259, 10632, 5551, 39648, 46740, 6552, 5551, 5172, 2655, 43042, 300, 14739, 2423, 462, 307, 264, 6575, 4478, 295, 460], "avg_logprob": -0.20599724418100188, "compression_ratio": 1.4879518072289157, "no_speech_prob": 0.0, "words": [{"start": 412.73, "end": 413.09, "word": "إذا", "probability": 0.6739501953125}, {"start": 413.09, "end": 413.55, "word": " قدرنا", "probability": 0.8021240234375}, {"start": 413.55, "end": 413.87, "word": " نجيب", "probability": 0.9071044921875}, {"start": 413.87, "end": 414.07, "word": " له", "probability": 0.5341796875}, {"start": 414.07, "end": 414.45, "word": " قيمة", "probability": 0.9775390625}, {"start": 414.45, "end": 414.89, "word": " معناته", "probability": 0.9080403645833334}, {"start": 414.89, "end": 415.39, "word": " موجود", "probability": 0.9876302083333334}, {"start": 415.39, "end": 416.21, "word": " ماقدرنا", "probability": 0.718017578125}, {"start": 416.21, "end": 416.65, "word": " معناته", "probability": 0.9768880208333334}, {"start": 416.65, "end": 416.87, "word": " مش", "probability": 0.974609375}, {"start": 416.87, "end": 417.25, "word": " موجود", "probability": 0.9892578125}, {"start": 417.25, "end": 417.65, "word": " فرضي", "probability": 0.8673502604166666}, {"start": 417.65, "end": 417.81, "word": " مش", "probability": 0.9765625}, {"start": 417.81, "end": 418.33, "word": " صحيح", "probability": 0.9176025390625}, {"start": 418.33, "end": 419.29, "word": " يبقى", "probability": 0.97265625}, {"start": 419.29, "end": 419.65, "word": " بناء", "probability": 0.931884765625}, {"start": 419.65, "end": 420.11, "word": " عليه", "probability": 0.452880859375}, {"start": 420.11, "end": 420.61, "word": " بداية", "probability": 0.5857747395833334}, {"start": 420.61, "end": 421.15, "word": " أقول", "probability": 0.84130859375}, {"start": 421.15, "end": 421.49, "word": " له", "probability": 0.396484375}, {"start": 421.49, "end": 422.31, "word": " assume", "probability": 0.58740234375}, {"start": 422.31, "end": 423.89, "word": " أفترض", "probability": 0.84051513671875}, {"start": 423.89, "end": 426.15, "word": " that", "probability": 0.85009765625}, {"start": 426.15, "end": 427.43, "word": " أن", "probability": 0.40625}, {"start": 427.43, "end": 427.81, "word": " ال", "probability": 0.86083984375}, {"start": 427.81, "end": 428.25, "word": " E", "probability": 0.6748046875}, {"start": 428.25, "end": 429.63, "word": " is", "probability": 0.94677734375}, {"start": 429.63, "end": 430.87, "word": " the", "probability": 0.8818359375}, {"start": 430.87, "end": 432.85, "word": " identity", "probability": 0.900390625}, {"start": 432.85, "end": 435.73, "word": " element", "probability": 0.95263671875}, {"start": 435.73, "end": 439.17, "word": " of", "probability": 0.982421875}, {"start": 439.17, "end": 440.19, "word": " G", "probability": 0.93359375}], "temperature": 1.0}, {"id": 19, "seek": 46903, "start": 441.03, "end": 469.03, "text": "افترض ان ايه ال identity element في g افترض كمان ان ال a موجود في g يبقى then ال e star a بدي اعرف ايه شكل ال e هذي لذلك بروح اخد اي واحدة من هذول", "tokens": [995, 5172, 2655, 43042, 16472, 1975, 1829, 3224, 2423, 6575, 4478, 8978, 290, 1975, 5172, 2655, 43042, 9122, 2304, 7649, 16472, 2423, 257, 3714, 29245, 23328, 8978, 290, 7251, 3555, 4587, 7578, 550, 2423, 308, 3543, 257, 4724, 16254, 1975, 3615, 28480, 1975, 1829, 3224, 13412, 28820, 2423, 308, 8032, 8848, 1829, 5296, 8848, 23275, 4724, 32887, 5016, 1975, 9778, 3215, 1975, 1829, 36764, 24401, 3660, 9154, 8032, 8848, 12610], "avg_logprob": -0.2561619583989533, "compression_ratio": 1.4901960784313726, "no_speech_prob": 0.0, "words": [{"start": 441.03, "end": 441.49, "word": "افترض", "probability": 0.7281494140625}, {"start": 441.49, "end": 441.65, "word": " ان", "probability": 0.85009765625}, {"start": 441.65, "end": 442.19, "word": " ايه", "probability": 0.708251953125}, {"start": 442.19, "end": 442.45, "word": " ال", "probability": 0.86376953125}, {"start": 442.45, "end": 443.13, "word": " identity", "probability": 0.60546875}, {"start": 443.13, "end": 443.71, "word": " element", "probability": 0.9658203125}, {"start": 443.71, "end": 444.05, "word": " في", "probability": 0.92529296875}, {"start": 444.05, "end": 444.33, "word": " g", "probability": 0.298095703125}, {"start": 444.33, "end": 445.67, "word": " افترض", "probability": 0.938232421875}, {"start": 445.67, "end": 446.45, "word": " كمان", "probability": 0.91259765625}, {"start": 446.45, "end": 447.01, "word": " ان", "probability": 0.9189453125}, {"start": 447.01, "end": 447.41, "word": " ال", "probability": 0.9287109375}, {"start": 447.41, "end": 447.75, "word": " a", "probability": 0.84375}, {"start": 447.75, "end": 448.47, "word": " موجود", "probability": 0.9894205729166666}, {"start": 448.47, "end": 448.67, "word": " في", "probability": 0.94384765625}, {"start": 448.67, "end": 449.27, "word": " g", "probability": 0.8974609375}, {"start": 449.27, "end": 450.39, "word": " يبقى", "probability": 0.962646484375}, {"start": 450.39, "end": 450.87, "word": " then", "probability": 0.80615234375}, {"start": 450.87, "end": 452.31, "word": " ال", "probability": 0.90625}, {"start": 452.31, "end": 452.73, "word": " e", "probability": 0.31640625}, {"start": 452.73, "end": 453.57, "word": " star", "probability": 0.376708984375}, {"start": 453.57, "end": 454.15, "word": " a", "probability": 0.96337890625}, {"start": 454.15, "end": 454.77, "word": " بدي", "probability": 0.45654296875}, {"start": 454.77, "end": 462.69, "word": " اعرف", "probability": 0.6626790364583334}, {"start": 462.69, "end": 463.15, "word": " ايه", "probability": 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لو أخدت ال E star ايه يسوى ايه امبليزه؟ بدي أطبخ تعريف ال star اللي عندنا هذه على الجزء اللي عندنا هذا يبقى الأول زائدي الثاني ناقص حاصل ضرب الأول في الثاني كل هذا بده سوى مين؟ بده سوى ال A itself", "tokens": [10721, 15730, 45164, 5551, 9778, 3215, 2655, 2423, 462, 3543, 1975, 1829, 3224, 7251, 3794, 2407, 7578, 1975, 1829, 3224, 1975, 2304, 3555, 20292, 11622, 3224, 22807, 4724, 16254, 5551, 9566, 3555, 9778, 37279, 16572, 5172, 2423, 3543, 13672, 1829, 43242, 8315, 29538, 15844, 25724, 11622, 38207, 13672, 1829, 43242, 8315, 23758, 7251, 3555, 4587, 7578, 16247, 12610, 30767, 16373, 16254, 6024, 104, 7649, 1829, 8717, 995, 4587, 9381, 11331, 33546, 1211, 48812, 25513, 16247, 12610, 8978, 6024, 104, 7649, 1829, 28242, 23758, 47525, 3224, 8608, 2407, 7578, 3714, 9957, 22807, 47525, 3224, 8608, 2407, 7578, 2423, 316, 2564], "avg_logprob": -0.29296875089406965, "compression_ratio": 1.7628865979381443, "no_speech_prob": 0.0, "words": [{"start": 469.51, "end": 470.19, "word": "أذا", 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484.21, "end": 485.43, "word": " زائدي", "probability": 0.7093912760416666}, {"start": 485.43, "end": 486.25, "word": " الثاني", "probability": 0.9503173828125}, {"start": 486.25, "end": 487.63, "word": " ناقص", "probability": 0.982666015625}, {"start": 487.63, "end": 488.57, "word": " حاصل", "probability": 0.8702799479166666}, {"start": 488.57, "end": 488.95, "word": " ضرب", "probability": 0.984619140625}, {"start": 488.95, "end": 489.63, "word": " الأول", "probability": 0.98974609375}, {"start": 489.63, "end": 490.29, "word": " في", "probability": 0.96533203125}, {"start": 490.29, "end": 491.05, "word": " الثاني", "probability": 0.9820556640625}, {"start": 491.05, "end": 491.73, "word": " كل", "probability": 0.8720703125}, {"start": 491.73, "end": 492.11, "word": " هذا", "probability": 0.9423828125}, {"start": 492.11, "end": 492.47, "word": " بده", "probability": 0.609619140625}, {"start": 492.47, "end": 492.73, "word": " سوى", "probability": 0.7833658854166666}, {"start": 492.73, "end": 493.51, "word": " مين؟", "probability": 0.8253580729166666}, {"start": 493.51, "end": 493.97, "word": " بده", "probability": 0.8896484375}, {"start": 493.97, "end": 494.47, "word": " سوى", "probability": 0.9182942708333334}, {"start": 494.47, "end": 494.77, "word": " ال", "probability": 0.8544921875}, {"start": 494.77, "end": 495.25, "word": " A", "probability": 0.302001953125}, {"start": 495.25, "end": 495.83, "word": " itself", "probability": 0.7998046875}], "temperature": 1.0}, {"id": 21, "seek": 51949, "start": 498.13, "end": 519.49, "text": "طيب احنا بنشتغل في مين؟ في rational numbers اعداد جذرية عادية اذا هذا لو جبت عند هذا بروح اذا هذا هيعطيني ما يأتي ان ال E نقص ال E في ايه؟ بيكون سوى كده؟ بيكون سوى Zero", "tokens": [9566, 1829, 3555, 1975, 5016, 8315, 44945, 8592, 2655, 17082, 1211, 8978, 3714, 9957, 22807, 8978, 15090, 3547, 1975, 22488, 18513, 10874, 8848, 2288, 10632, 6225, 18513, 10632, 1975, 15730, 23758, 45164, 10874, 3555, 2655, 43242, 23758, 4724, 32887, 5016, 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numbers", "probability": 0.57373046875}, {"start": 503.33, "end": 504.11, "word": " اعداد", "probability": 0.8094889322916666}, {"start": 504.11, "end": 504.85, "word": " جذرية", "probability": 0.97998046875}, {"start": 504.85, "end": 505.49, "word": " عادية", "probability": 0.97509765625}, {"start": 505.49, "end": 506.35, "word": " اذا", "probability": 0.731689453125}, {"start": 506.35, "end": 507.07, "word": " هذا", "probability": 0.8671875}, {"start": 507.07, "end": 507.91, "word": " لو", "probability": 0.951171875}, {"start": 507.91, "end": 508.33, "word": " جبت", "probability": 0.9051106770833334}, {"start": 508.33, "end": 508.67, "word": " عند", "probability": 0.94873046875}, {"start": 508.67, "end": 509.03, "word": " هذا", "probability": 0.9443359375}, {"start": 509.03, "end": 509.57, "word": " بروح", "probability": 0.9417317708333334}, {"start": 509.57, "end": 510.31, "word": " اذا", "probability": 0.79443359375}, {"start": 510.31, "end": 510.77, "word": " هذا", "probability": 0.92529296875}, {"start": 510.77, "end": 511.89, "word": " هيعطيني", "probability": 0.88212890625}, {"start": 511.89, "end": 512.19, "word": " ما", "probability": 0.93115234375}, {"start": 512.19, "end": 512.75, "word": " يأتي", "probability": 0.9571940104166666}, {"start": 512.75, "end": 513.57, "word": " ان", "probability": 0.84033203125}, {"start": 513.57, "end": 513.95, "word": " ال", "probability": 0.650390625}, {"start": 513.95, "end": 514.37, "word": " E", "probability": 0.6845703125}, {"start": 514.37, "end": 515.33, "word": " نقص", "probability": 0.82421875}, {"start": 515.33, "end": 515.61, "word": " ال", "probability": 0.90869140625}, {"start": 515.61, "end": 516.01, "word": " E", "probability": 0.98876953125}, {"start": 516.01, "end": 516.39, "word": " في", "probability": 0.8720703125}, {"start": 516.39, "end": 517.05, "word": " ايه؟", "probability": 0.7708740234375}, {"start": 517.05, "end": 517.23, "word": " بيكون", "probability": 0.43212890625}, {"start": 517.23, "end": 517.49, "word": " سوى", "probability": 0.7080078125}, {"start": 517.49, "end": 518.25, "word": " كده؟", "probability": 0.748291015625}, {"start": 518.25, "end": 518.81, "word": " بيكون", "probability": 0.9138997395833334}, {"start": 518.81, "end": 519.19, "word": " سوى", "probability": 0.9484049479166666}, {"start": 519.19, "end": 519.49, "word": " Zero", "probability": 0.5048828125}], "temperature": 1.0}, {"id": 22, "seek": 53844, "start": 525.96, "end": 538.44, "text": "يبقى هذا معناه ان ال E في واحد ناقص ال A يبقى يسوى Zero يبقى هذا معناه ان ال E يسوى Zero على واحد ناقص ال A", "tokens": [1829, 3555, 4587, 7578, 23758, 20449, 8315, 3224, 16472, 2423, 462, 8978, 36764, 24401, 8717, 995, 4587, 9381, 2423, 316, 7251, 3555, 4587, 7578, 7251, 3794, 2407, 7578, 17182, 7251, 3555, 4587, 7578, 23758, 20449, 8315, 3224, 16472, 2423, 462, 7251, 3794, 2407, 7578, 17182, 15844, 36764, 24401, 8717, 995, 4587, 9381, 2423, 316], "avg_logprob": -0.32073864178224043, "compression_ratio": 1.8144329896907216, "no_speech_prob": 0.0, "words": [{"start": 525.96, "end": 526.72, "word": "يبقى", "probability": 0.6846771240234375}, {"start": 526.72, "end": 527.04, "word": " هذا", "probability": 0.369873046875}, {"start": 527.04, "end": 527.96, "word": " معناه", "probability": 0.8590494791666666}, {"start": 527.96, "end": 528.8, "word": " ان", "probability": 0.6591796875}, {"start": 528.8, "end": 529.18, "word": " ال", "probability": 0.65869140625}, {"start": 529.18, "end": 529.54, "word": " E", "probability": 0.3583984375}, {"start": 529.54, "end": 529.9, "word": " في", "probability": 0.89306640625}, {"start": 529.9, "end": 530.48, "word": " واحد", "probability": 0.849365234375}, {"start": 530.48, "end": 531.22, "word": " ناقص", "probability": 0.84503173828125}, {"start": 531.22, "end": 531.44, "word": " ال", "probability": 0.884765625}, {"start": 531.44, "end": 531.72, "word": " A", "probability": 0.90869140625}, {"start": 531.72, "end": 532.06, "word": " يبقى", "probability": 0.65057373046875}, {"start": 532.06, "end": 532.44, "word": " يسوى", "probability": 0.530914306640625}, {"start": 532.44, "end": 532.86, "word": " Zero", "probability": 0.465576171875}, {"start": 532.86, "end": 533.7, "word": " يبقى", "probability": 0.84368896484375}, {"start": 533.7, "end": 534.06, "word": " هذا", "probability": 0.97216796875}, {"start": 534.06, "end": 534.64, "word": " معناه", "probability": 0.9734700520833334}, {"start": 534.64, "end": 534.96, "word": " ان", "probability": 0.76171875}, {"start": 534.96, "end": 535.24, "word": " ال", "probability": 0.93701171875}, {"start": 535.24, "end": 535.46, "word": " E", "probability": 0.9892578125}, {"start": 535.46, "end": 536.08, "word": " يسوى", "probability": 0.963623046875}, {"start": 536.08, "end": 536.48, "word": " Zero", "probability": 0.95654296875}, {"start": 536.48, "end": 536.8, "word": " على", "probability": 0.7763671875}, {"start": 536.8, "end": 537.32, "word": " واحد", "probability": 0.99267578125}, {"start": 537.32, "end": 537.94, "word": " ناقص", "probability": 0.9945068359375}, {"start": 537.94, "end": 538.14, "word": " ال", "probability": 0.97314453125}, {"start": 538.14, "end": 538.44, "word": " A", "probability": 0.966796875}], "temperature": 1.0}, {"id": 23, "seek": 56694, "start": 542.28, "end": 566.94, "text": "لأن لو كان الواحد موجود لأصبح الـ E Undefined يبقى هذا معناته كم؟ Zero يبقى هنا سواء الـ E Identity Element of GS الـ E بده يساوي Zero", "tokens": [1211, 33456, 45164, 25961, 2423, 14407, 24401, 3714, 29245, 23328, 5296, 10721, 9381, 49628, 2423, 39184, 462, 2719, 5666, 2001, 7251, 3555, 4587, 7578, 23758, 20449, 8315, 47395, 9122, 2304, 22807, 17182, 7251, 3555, 4587, 7578, 34105, 8608, 2407, 16606, 2423, 39184, 462, 25905, 507, 20900, 295, 32047, 2423, 39184, 462, 47525, 3224, 7251, 3794, 995, 45865, 17182], "avg_logprob": -0.29210803771423083, "compression_ratio": 1.3289473684210527, "no_speech_prob": 0.0, "words": [{"start": 542.28, "end": 542.72, "word": "لأن", "probability": 0.72265625}, {"start": 542.72, "end": 543.0, "word": " لو", "probability": 0.873046875}, {"start": 543.0, "end": 543.66, "word": " كان", "probability": 0.927734375}, {"start": 543.66, "end": 544.5, "word": " الواحد", "probability": 0.91552734375}, {"start": 544.5, "end": 545.08, "word": " موجود", "probability": 0.9786783854166666}, {"start": 545.08, "end": 545.86, "word": " لأصبح", "probability": 0.83416748046875}, {"start": 545.86, "end": 546.22, "word": " الـ", "probability": 0.6234130859375}, {"start": 546.22, "end": 546.42, "word": " E", "probability": 0.5439453125}, {"start": 546.42, "end": 547.88, "word": " Undefined", "probability": 0.7787272135416666}, {"start": 547.88, "end": 548.84, "word": " يبقى", "probability": 0.95361328125}, {"start": 548.84, "end": 549.16, "word": " هذا", "probability": 0.80224609375}, {"start": 549.16, "end": 549.7, "word": " معناته", "probability": 0.93310546875}, {"start": 549.7, "end": 550.7, "word": " كم؟", "probability": 0.6376139322916666}, {"start": 550.7, "end": 551.32, "word": " Zero", "probability": 0.853515625}, {"start": 551.32, "end": 552.46, "word": " يبقى", "probability": 0.9693603515625}, {"start": 552.46, "end": 552.9, "word": " هنا", "probability": 0.9638671875}, {"start": 552.9, "end": 553.9, "word": " سواء", "probability": 0.6013590494791666}, {"start": 553.9, "end": 555.04, "word": " الـ", "probability": 0.700927734375}, {"start": 555.04, "end": 555.42, "word": " E", "probability": 0.50634765625}, {"start": 555.42, "end": 557.9, "word": " Identity", "probability": 0.6956787109375}, {"start": 557.9, "end": 559.46, "word": " Element", "probability": 0.70166015625}, {"start": 559.46, "end": 562.22, "word": " of", "probability": 0.67431640625}, {"start": 562.22, "end": 564.38, "word": " GS", "probability": 0.51025390625}, {"start": 564.38, "end": 565.48, "word": " الـ", "probability": 0.819580078125}, {"start": 565.48, "end": 565.86, "word": " E", "probability": 0.9501953125}, {"start": 565.86, "end": 566.26, "word": " بده", "probability": 0.3465576171875}, {"start": 566.26, "end": 566.64, "word": " يساوي", "probability": 0.76251220703125}, {"start": 566.64, "end": 566.94, "word": " Zero", "probability": 0.8935546875}], "temperature": 1.0}, {"id": 24, "seek": 59778, "start": 569.56, "end": 597.78, "text": "طيب يبقى صار ال identity element exist الان بدنا نثبت ان ال inverse element كذلك ماله exist لذلك بداجي اقول هنا النقطة الثالثة والاخيرة let B be the inverse element of", "tokens": [9566, 1829, 3555, 7251, 3555, 4587, 7578, 20328, 9640, 2423, 6575, 4478, 2514, 2423, 7649, 47525, 8315, 8717, 12984, 3555, 2655, 16472, 2423, 17340, 4478, 9122, 8848, 23275, 3714, 6027, 3224, 2514, 5296, 8848, 23275, 47525, 26108, 1829, 1975, 39648, 34105, 28239, 47432, 3660, 6024, 104, 6027, 12984, 3660, 16070, 47283, 48923, 718, 363, 312, 264, 17340, 4478, 295], "avg_logprob": -0.22630207737286887, "compression_ratio": 1.509433962264151, "no_speech_prob": 0.0, "words": [{"start": 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{"start": 736.28, "end": 737.14, "word": " أخد", "probability": 0.7890625}, {"start": 737.14, "end": 737.8, "word": " a", "probability": 0.923828125}, {"start": 737.8, "end": 739.14, "word": " star", "probability": 0.70068359375}, {"start": 739.14, "end": 739.64, "word": " is", "probability": 0.6201171875}, {"start": 739.64, "end": 740.0, "word": " zero", "probability": 0.80224609375}], "temperature": 1.0}, {"id": 32, "seek": 75274, "start": 740.84, "end": 752.74, "text": "هذا لازم يطلع جداش a مشانيك بالكلام الصحيح يبقى هذا الكلام بده يساوي a زائد zero ناقص a في zero", "tokens": [3224, 15730, 5296, 31377, 2304, 7251, 9566, 1211, 3615, 10874, 3215, 33599, 257, 37893, 7649, 1829, 4117, 20666, 28820, 10943, 31767, 5016, 1829, 5016, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 257, 30767, 16373, 3215, 4018, 8717, 995, 4587, 9381, 257, 8978, 4018], "avg_logprob": -0.2545956010911979, "compression_ratio": 1.391304347826087, "no_speech_prob": 0.0, "words": [{"start": 740.84, "end": 741.22, "word": "هذا", "probability": 0.71923828125}, {"start": 741.22, "end": 741.56, "word": " لازم", "probability": 0.7187906901041666}, {"start": 741.56, "end": 741.82, "word": " يطلع", "probability": 0.8555908203125}, {"start": 741.82, "end": 742.4, "word": " جداش", "probability": 0.5394694010416666}, {"start": 742.4, "end": 742.86, "word": " a", "probability": 0.444580078125}, {"start": 742.86, "end": 743.6, "word": " مشانيك", "probability": 0.67376708984375}, {"start": 743.6, "end": 744.12, "word": " بالكلام", "probability": 0.8896484375}, {"start": 744.12, "end": 744.74, "word": " الصحيح", "probability": 0.949951171875}, {"start": 744.74, "end": 745.82, "word": " يبقى", "probability": 0.928466796875}, {"start": 745.82, "end": 746.1, "word": " هذا", "probability": 0.91552734375}, {"start": 746.1, "end": 746.68, "word": " الكلام", "probability": 0.92626953125}, {"start": 746.68, "end": 747.1, "word": " بده", "probability": 0.5291748046875}, {"start": 747.1, "end": 747.8, "word": " يساوي", "probability": 0.96435546875}, {"start": 747.8, "end": 748.44, "word": " a", "probability": 0.8388671875}, {"start": 748.44, "end": 749.5, "word": " زائد", "probability": 0.7262369791666666}, {"start": 749.5, "end": 750.1, "word": " zero", "probability": 0.65625}, {"start": 750.1, "end": 751.46, "word": " ناقص", "probability": 0.9598388671875}, {"start": 751.46, "end": 752.22, "word": " a", "probability": 0.71923828125}, {"start": 752.22, "end": 752.36, "word": " في", "probability": 0.88134765625}, {"start": 752.36, "end": 752.74, "word": " zero", "probability": 0.81591796875}], "temperature": 1.0}, {"id": 33, "seek": 77566, "start": 753.72, "end": 775.66, "text": "طبعا هدف zero و هدف zero يبقى الجواب قداش يبقى الجواب a وهو المطلوب بالمثل similarly similarly ال zero star a بده يساوي ال a and بده اخد a star b", "tokens": [9566, 3555, 3615, 995, 8032, 3215, 5172, 4018, 4032, 8032, 3215, 5172, 4018, 7251, 3555, 4587, 7578, 25724, 14407, 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هو معكوس ال a يبقى لما انا اعمل star في مابينهما لازم يطلع ال identity element اللي هو mean ال zero يبقى هذا الكلام بده يساوي a star ب هي موجودة عندى a على a minus ال one", "tokens": [10721, 8315, 1975, 3215, 3615, 36081, 16472, 4724, 31439, 20449, 4117, 41779, 2423, 257, 7251, 3555, 4587, 7578, 5296, 15042, 1975, 8315, 1975, 25957, 1211, 3543, 8978, 3714, 16758, 9957, 3224, 15042, 5296, 31377, 2304, 7251, 9566, 1211, 3615, 2423, 6575, 4478, 13672, 1829, 31439, 914, 2423, 4018, 7251, 3555, 4587, 7578, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865, 257, 3543, 4724, 39896, 3714, 29245, 23328, 3660, 43242, 7578, 257, 15844, 257, 3175, 2423, 472], "avg_logprob": -0.2697784704498098, "compression_ratio": 1.5294117647058822, "no_speech_prob": 0.0, "words": [{"start": 776.64, "end": 777.02, "word": "أنا", "probability": 0.6102294921875}, {"start": 777.02, "end": 777.62, "word": " ادعيت", "probability": 0.81268310546875}, {"start": 777.62, "end": 777.9, "word": " ان", 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"word": " الكلام", "probability": 0.9514973958333334}, {"start": 788.84, "end": 789.34, "word": " بده", "probability": 0.4366455078125}, {"start": 789.34, "end": 789.92, "word": " يساوي", "probability": 0.9041748046875}, {"start": 789.92, "end": 790.52, "word": " a", "probability": 0.81494140625}, {"start": 790.52, "end": 791.22, "word": " star", "probability": 0.45849609375}, {"start": 791.22, "end": 791.86, "word": " ب", "probability": 0.89453125}, {"start": 791.86, "end": 792.18, "word": " هي", "probability": 0.82861328125}, {"start": 792.18, "end": 793.06, "word": " موجودة", "probability": 0.96435546875}, {"start": 793.06, "end": 793.7, "word": " عندى", "probability": 0.642578125}, {"start": 793.7, "end": 794.18, "word": " a", "probability": 0.85400390625}, {"start": 794.18, "end": 795.14, "word": " على", "probability": 0.65966796875}, {"start": 795.14, "end": 795.82, "word": " a", "probability": 0.955078125}, {"start": 795.82, "end": 796.52, "word": " minus", "probability": 0.83935546875}, {"start": 796.52, "end": 796.84, "word": " ال", "probability": 0.4560546875}, {"start": 796.84, "end": 797.08, "word": " one", "probability": 0.87158203125}], "temperature": 1.0}, {"id": 35, "seek": 81664, "start": 798.08, "end": 816.64, "text": "يبقى حسب التعريف تبع الـ star هذا بده يساوي العدد الأول زائد العدد الثاني ناقص حاصل ضربهما تمام؟ طيب هذا الكلام يساوي", "tokens": [1829, 3555, 4587, 7578, 11331, 35457, 16712, 3615, 16572, 5172, 6055, 3555, 3615, 2423, 39184, 3543, 23758, 47525, 3224, 7251, 3794, 995, 45865, 18863, 3215, 3215, 16247, 12610, 30767, 16373, 3215, 18863, 3215, 3215, 6024, 104, 7649, 1829, 8717, 995, 4587, 9381, 11331, 33546, 1211, 48812, 25513, 3224, 15042, 46811, 10943, 22807, 23032, 1829, 3555, 23758, 2423, 28820, 10943, 7251, 3794, 995, 45865], "avg_logprob": -0.13916015345603228, "compression_ratio": 1.5035971223021583, "no_speech_prob": 0.0, "words": [{"start": 798.08, "end": 798.6, "word": "يبقى", "probability": 0.8612060546875}, {"start": 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2063.72, "end": 2064.16, "word": " يمكن", "probability": 0.988525390625}, {"start": 2064.16, "end": 2064.66, "word": " ندخلها", "probability": 0.883984375}, {"start": 2064.66, "end": 2064.78, "word": " و", "probability": 0.9052734375}, {"start": 2064.78, "end": 2065.02, "word": " يمكن", "probability": 0.880126953125}, {"start": 2065.02, "end": 2065.34, "word": " لأ", "probability": 0.708251953125}], "temperature": 1.0}, {"id": 84, "seek": 208385, "start": 2079.09, "end": 2083.85, "text": "طيب بدنا نروح لخاصية تالتة غير هذه الخواص", "tokens": [9566, 1829, 3555, 47525, 8315, 8717, 32887, 5016, 5296, 9778, 33546, 10632, 6055, 6027, 2655, 3660, 32771, 13546, 29538, 33962, 14407, 9381], "avg_logprob": -0.30146059005156806, "compression_ratio": 1.0714285714285714, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2079.09, "end": 2080.15, "word": "طيب", "probability": 0.6476847330729166}, {"start": 2080.15, "end": 2080.59, "word": " بدنا", "probability": 0.60565185546875}, {"start": 2080.59, "end": 2080.85, "word": " نروح", "probability": 0.8037109375}, {"start": 2080.85, "end": 2081.65, "word": " لخاصية", "probability": 0.9581298828125}, {"start": 2081.65, "end": 2082.19, "word": " تالتة", "probability": 0.9241943359375}, {"start": 2082.19, "end": 2082.61, "word": " غير", "probability": 0.8837890625}, {"start": 2082.61, "end": 2083.13, "word": " هذه", "probability": 0.9736328125}, {"start": 2083.13, "end": 2083.85, "word": " الخواص", "probability": 0.7425944010416666}], "temperature": 1.0}, {"id": 85, "seek": 210831, "start": 2085.41, "end": 2108.31, "text": "لو ضربت او قبل ان اضرب ايش رأيك هدول الاربع واحد اتنين تلات اربع اليست هذه حركة دورانية counter clockwise يبقى هدول الاربع حالات كلهم بسميهم rotation دوران", "tokens": [1211, 2407, 48812, 25513, 2655, 1975, 2407, 12174, 36150, 16472, 1975, 11242, 25513, 1975, 1829, 8592, 12602, 10721, 1829, 4117, 8032, 3215, 12610, 2423, 9640, 3555, 3615, 36764, 24401, 1975, 2655, 1863, 9957, 6055, 1211, 9307, 1975, 25513, 3615, 1975, 20292, 14851, 29538, 11331, 31747, 3660, 11778, 13063, 7649, 10632, 5682, 35790, 7251, 3555, 4587, 7578, 8032, 3215, 12610, 2423, 9640, 3555, 3615, 11331, 6027, 9307, 28242, 16095, 4724, 38251, 1829, 16095, 12447, 11778, 13063, 7649], "avg_logprob": -0.16020697974539422, "compression_ratio": 1.579268292682927, "no_speech_prob": 0.0, "words": [{"start": 2085.41, "end": 2086.71, "word": "لو", "probability": 0.791015625}, {"start": 2086.71, "end": 2087.53, "word": " ضربت", "probability": 0.9806315104166666}, {"start": 2087.53, "end": 2088.09, "word": " او", "probability": 0.865234375}, {"start": 2088.09, "end": 2088.43, "word": " قبل", "probability": 0.877685546875}, {"start": 2088.43, "end": 2088.61, "word": " ان", "probability": 0.7998046875}, {"start": 2088.61, "end": 2088.93, "word": " اضرب", "probability": 0.8992513020833334}, {"start": 2088.93, "end": 2089.67, "word": " ايش", "probability": 0.8719075520833334}, {"start": 2089.67, "end": 2090.17, "word": " رأيك", "probability": 0.8836669921875}, {"start": 2090.17, "end": 2090.81, "word": " هدول", "probability": 0.8133138020833334}, {"start": 2090.81, "end": 2091.59, "word": " الاربع", "probability": 0.77191162109375}, {"start": 2091.59, "end": 2091.99, "word": " واحد", "probability": 0.7430419921875}, {"start": 2091.99, "end": 2092.47, "word": " اتنين", "probability": 0.955078125}, {"start": 2092.47, "end": 2092.99, "word": " تلات", "probability": 0.87841796875}, {"start": 2092.99, "end": 2093.47, "word": " اربع", "probability": 0.7652180989583334}, {"start": 2093.47, "end": 2094.43, "word": " اليست", "probability": 0.6355387369791666}, {"start": 2094.43, "end": 2094.93, "word": " هذه", "probability": 0.443603515625}, {"start": 2094.93, "end": 2095.59, "word": " حركة", "probability": 0.98779296875}, {"start": 2095.59, "end": 2096.47, "word": " دورانية", "probability": 0.9727783203125}, {"start": 2096.47, "end": 2096.87, "word": " counter", "probability": 0.88427734375}, {"start": 2096.87, "end": 2097.47, "word": " clockwise", "probability": 0.6884765625}, {"start": 2097.47, "end": 2098.91, "word": " يبقى", "probability": 0.924072265625}, {"start": 2098.91, "end": 2099.43, "word": " هدول", "probability": 0.9833984375}, {"start": 2099.43, "end": 2100.19, "word": " الاربع", "probability": 0.896484375}, {"start": 2100.19, "end": 2101.17, "word": " حالات", "probability": 0.8732096354166666}, {"start": 2101.17, "end": 2101.95, "word": " كلهم", "probability": 0.9658203125}, {"start": 2101.95, "end": 2103.49, "word": " بسميهم", "probability": 0.980224609375}, {"start": 2103.49, "end": 2104.43, "word": " rotation", "probability": 0.9580078125}, {"start": 2104.43, "end": 2108.31, "word": " دوران", "probability": 0.9480794270833334}], "temperature": 1.0}, {"id": 86, "seek": 213882, "start": 2109.58, "end": 2138.82, "text": "و ممكن اختصارا اديهم الرمز R طب والاربع حالات اللي بعدهم الاتنين هدول و الاتنين هدول اسم من عكاس reflection يبقى هدول بسميهم reflection و هدول اتنين كمان reflection تمام تمام طيب", "tokens": [2407, 3714, 43020, 1975, 46456, 9381, 9640, 995, 1975, 16254, 16095, 34892, 2304, 11622, 497, 23032, 3555, 16070, 9640, 3555, 3615, 11331, 6027, 9307, 13672, 1829, 39182, 16095, 2423, 9307, 1863, 9957, 8032, 3215, 12610, 4032, 2423, 9307, 1863, 9957, 8032, 3215, 12610, 24525, 2304, 9154, 6225, 4117, 32277, 12914, 7251, 3555, 4587, 7578, 8032, 3215, 12610, 4724, 38251, 1829, 16095, 12914, 4032, 8032, 3215, 12610, 1975, 2655, 1863, 9957, 9122, 2304, 7649, 12914, 46811, 10943, 46811, 10943, 23032, 1829, 3555], "avg_logprob": -0.1686356750930228, "compression_ratio": 1.872611464968153, "no_speech_prob": 0.0, "words": [{"start": 2109.58, "end": 2109.8, "word": "و", "probability": 0.407470703125}, {"start": 2109.8, "end": 2110.06, "word": " ممكن", "probability": 0.792724609375}, {"start": 2110.06, "end": 2110.76, "word": " اختصارا", "probability": 0.882421875}, {"start": 2110.76, "end": 2111.34, "word": " اديهم", "probability": 0.80712890625}, {"start": 2111.34, "end": 2112.0, "word": " الرمز", "probability": 0.9807942708333334}, {"start": 2112.0, "end": 2112.46, "word": " R", "probability": 0.401611328125}, {"start": 2112.46, "end": 2113.3, "word": " طب", "probability": 0.598388671875}, {"start": 2113.3, "end": 2113.9, "word": " والاربع", "probability": 0.77392578125}, {"start": 2113.9, "end": 2114.48, "word": " حالات", "probability": 0.9549153645833334}, {"start": 2114.48, "end": 2114.72, "word": " اللي", "probability": 0.817138671875}, {"start": 2114.72, "end": 2115.46, "word": " بعدهم", "probability": 0.94775390625}, {"start": 2115.46, "end": 2116.62, "word": " الاتنين", "probability": 0.80413818359375}, {"start": 2116.62, "end": 2117.28, "word": " هدول", "probability": 0.8727213541666666}, {"start": 2117.28, "end": 2117.8, "word": " و", "probability": 0.67529296875}, {"start": 2117.8, "end": 2118.48, "word": " الاتنين", "probability": 0.9222412109375}, {"start": 2118.48, "end": 2119.26, "word": " هدول", "probability": 0.9895833333333334}, {"start": 2119.26, "end": 2120.5, "word": " اسم", "probability": 0.931884765625}, {"start": 2120.5, "end": 2120.72, "word": " من", "probability": 0.381591796875}, {"start": 2120.72, "end": 2121.3, "word": " عكاس", "probability": 0.7923177083333334}, {"start": 2121.3, "end": 2122.42, "word": " reflection", "probability": 0.8427734375}, {"start": 2122.42, "end": 2123.44, "word": " يبقى", "probability": 0.957275390625}, {"start": 2123.44, "end": 2123.82, "word": " هدول", "probability": 0.9363606770833334}, {"start": 2123.82, "end": 2124.86, "word": " بسميهم", "probability": 0.96142578125}, {"start": 2124.86, "end": 2125.98, "word": " reflection", "probability": 0.93212890625}, {"start": 2125.98, "end": 2128.66, "word": " و", "probability": 0.7578125}, {"start": 2128.66, "end": 2129.14, "word": " هدول", "probability": 0.8307291666666666}, {"start": 2129.14, "end": 2129.86, "word": " اتنين", "probability": 0.9503173828125}, {"start": 2129.86, "end": 2130.54, "word": " كمان", "probability": 0.9640299479166666}, {"start": 2130.54, "end": 2131.42, "word": " reflection", "probability": 0.943359375}, {"start": 2131.42, "end": 2136.76, "word": " تمام", "probability": 0.972412109375}, {"start": 2136.76, "end": 2137.38, "word": " تمام", "probability": 0.84765625}, {"start": 2137.38, "end": 2138.82, "word": " طيب", "probability": 0.9630533854166666}], "temperature": 1.0}, {"id": 87, "seek": 216644, "start": 2139.39, "end": 2166.45, "text": "عشان نختار دوران مع reflection اشوف ايه يعطينا دوران يعني حاصل ضرب اي دوران من الدورانات هدول في اي reflection من ال reflections الأربعة اشوف ايه يعطينا دوران هل بيعطينا rotation دوران و الله بيعطينا reflection تعالي ناخد اختارلك اي رقم من الدورانات اللي عندنا", "tokens": [3615, 8592, 7649, 8717, 46456, 9640, 11778, 13063, 7649, 20449, 12914, 1975, 8592, 38688, 1975, 1829, 3224, 37495, 9566, 1829, 8315, 11778, 13063, 7649, 37495, 22653, 11331, 33546, 1211, 48812, 25513, 1975, 1829, 11778, 13063, 7649, 9154, 32748, 13063, 7649, 9307, 8032, 3215, 12610, 8978, 1975, 1829, 12914, 9154, 2423, 30679, 16247, 25513, 27884, 1975, 8592, 38688, 1975, 1829, 3224, 37495, 9566, 1829, 8315, 11778, 13063, 7649, 8032, 1211, 4724, 40228, 9566, 1829, 8315, 12447, 11778, 13063, 7649, 4032, 21984, 4724, 40228, 9566, 1829, 8315, 12914, 37279, 6027, 1829, 8717, 47283, 3215, 1975, 46456, 9640, 23275, 1975, 1829, 12602, 4587, 2304, 9154, 32748, 13063, 7649, 9307, 13672, 1829, 43242, 8315], "avg_logprob": -0.250703818626232, "compression_ratio": 2.2239583333333335, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2139.39, "end": 2139.89, "word": "عشان", "probability": 0.59075927734375}, {"start": 2139.89, "end": 2140.79, "word": " نختار", "probability": 0.6220703125}, {"start": 2140.79, "end": 2141.71, "word": " دوران", "probability": 0.8426106770833334}, {"start": 2141.71, "end": 2142.61, "word": " مع", "probability": 0.5576171875}, {"start": 2142.61, "end": 2143.39, "word": " reflection", "probability": 0.60302734375}, {"start": 2143.39, "end": 2144.79, "word": " اشوف", "probability": 0.5304768880208334}, {"start": 2144.79, "end": 2145.19, "word": " ايه", "probability": 0.6664225260416666}, {"start": 2145.19, "end": 2146.01, "word": " يعطينا", "probability": 0.791107177734375}, {"start": 2146.01, "end": 2146.47, "word": " دوران", "probability": 0.714111328125}, {"start": 2146.47, "end": 2146.61, "word": " يعني", "probability": 0.6087646484375}, {"start": 2146.61, "end": 2147.25, "word": " حاصل", "probability": 0.7151692708333334}, {"start": 2147.25, "end": 2147.55, "word": " ضرب", "probability": 0.927978515625}, {"start": 2147.55, "end": 2147.99, "word": " اي", "probability": 0.85546875}, {"start": 2147.99, "end": 2148.59, "word": " دوران", "probability": 0.9879557291666666}, {"start": 2148.59, "end": 2148.83, "word": " من", "probability": 0.966796875}, {"start": 2148.83, "end": 2149.75, "word": " الدورانات", "probability": 0.913818359375}, {"start": 2149.75, "end": 2150.29, "word": " هدول", "probability": 0.7607421875}, {"start": 2150.29, "end": 2150.85, "word": " في", "probability": 0.80908203125}, {"start": 2150.85, "end": 2151.21, "word": " اي", "probability": 0.82958984375}, {"start": 2151.21, "end": 2151.81, "word": " reflection", "probability": 0.796875}, {"start": 2151.81, "end": 2152.17, "word": " من", "probability": 0.98486328125}, {"start": 2152.17, "end": 2152.29, "word": " ال", "probability": 0.71435546875}, {"start": 2152.29, "end": 2152.87, "word": " reflections", "probability": 0.5966796875}, {"start": 2152.87, "end": 2153.79, "word": " الأربعة", "probability": 0.8015950520833334}, {"start": 2153.79, "end": 2154.49, "word": " اشوف", "probability": 0.8232421875}, {"start": 2154.49, "end": 2154.71, "word": " ايه", "probability": 0.8675130208333334}, {"start": 2154.71, "end": 2155.19, "word": " يعطينا", "probability": 0.97705078125}, {"start": 2155.19, "end": 2155.31, "word": " دوران", "probability": 0.8733723958333334}, {"start": 2155.31, "end": 2155.49, "word": " هل", "probability": 0.83837890625}, {"start": 2155.49, "end": 2156.21, "word": " بيعطينا", "probability": 0.827734375}, {"start": 2156.21, "end": 2157.97, "word": " rotation", "probability": 0.8544921875}, {"start": 2157.97, "end": 2158.85, "word": " دوران", "probability": 0.9396158854166666}, {"start": 2158.85, "end": 2158.99, "word": " و", "probability": 0.39794921875}, {"start": 2158.99, "end": 2159.19, "word": " الله", "probability": 0.95068359375}, {"start": 2159.19, "end": 2159.79, "word": " بيعطينا", "probability": 0.948828125}, {"start": 2159.79, "end": 2161.39, "word": " reflection", "probability": 0.92626953125}, {"start": 2161.39, "end": 2162.63, "word": " تعالي", "probability": 0.8341471354166666}, {"start": 2162.63, "end": 2163.09, "word": " ناخد", "probability": 0.8948567708333334}, {"start": 2163.09, "end": 2163.89, "word": " اختارلك", "probability": 0.8282470703125}, {"start": 2163.89, "end": 2164.29, "word": " اي", "probability": 0.9013671875}, {"start": 2164.29, "end": 2164.73, "word": " رقم", "probability": 0.994140625}, {"start": 2164.73, "end": 2164.93, "word": " من", "probability": 0.98876953125}, {"start": 2164.93, "end": 2165.77, "word": " الدورانات", "probability": 0.9873046875}, {"start": 2165.77, "end": 2166.01, "word": " اللي", "probability": 0.82958984375}, {"start": 2166.01, "end": 2166.45, "word": " عندنا", "probability": 0.980712890625}], "temperature": 1.0}, {"id": 88, "seek": 218069, "start": 2167.05, "end": 2180.69, "text": "و بدي اختار اي reflection منهم و اضرب اتنين في بعض ابسط الحالات لو اخد ر تسعين بدي اضربها مثلا في H", "tokens": [2407, 4724, 16254, 1975, 46456, 9640, 1975, 1829, 12914, 9154, 16095, 4032, 1975, 11242, 25513, 1975, 2655, 1863, 9957, 8978, 45030, 11242, 1975, 3555, 3794, 9566, 21542, 6027, 9307, 45164, 1975, 9778, 3215, 12602, 6055, 3794, 3615, 9957, 4724, 16254, 1975, 11242, 25513, 11296, 50113, 15040, 8978, 389], "avg_logprob": -0.2273596987432363, "compression_ratio": 1.371900826446281, "no_speech_prob": 0.0, "words": [{"start": 2167.05, "end": 2167.29, "word": "و", "probability": 0.54052734375}, {"start": 2167.29, "end": 2167.57, "word": " بدي", "probability": 0.533203125}, {"start": 2167.57, "end": 2168.09, "word": " اختار", "probability": 0.9070638020833334}, {"start": 2168.09, "end": 2168.39, "word": " اي", "probability": 0.852783203125}, {"start": 2168.39, "end": 2168.97, "word": " reflection", "probability": 0.814453125}, {"start": 2168.97, "end": 2169.51, "word": " منهم", "probability": 0.96044921875}, {"start": 2169.51, "end": 2169.69, "word": " و", "probability": 0.50634765625}, {"start": 2169.69, "end": 2170.03, "word": " اضرب", "probability": 0.9215494791666666}, {"start": 2170.03, "end": 2170.49, "word": " اتنين", "probability": 0.953857421875}, {"start": 2170.49, "end": 2170.67, "word": " في", "probability": 0.93310546875}, {"start": 2170.67, "end": 2171.03, "word": " بعض", "probability": 0.99755859375}, {"start": 2171.03, "end": 2171.97, "word": " ابسط", "probability": 0.812255859375}, {"start": 2171.97, "end": 2172.59, "word": " الحالات", "probability": 0.9422200520833334}, {"start": 2172.59, "end": 2172.77, "word": " لو", "probability": 0.9814453125}, {"start": 2172.77, "end": 2173.31, "word": " اخد", "probability": 0.8483072916666666}, {"start": 2173.31, "end": 2174.21, "word": " ر", "probability": 0.2548828125}, {"start": 2174.21, "end": 2175.45, "word": " تسعين", "probability": 0.970947265625}, {"start": 2175.45, "end": 2179.23, "word": " بدي", "probability": 0.56146240234375}, {"start": 2179.23, "end": 2179.73, "word": " اضربها", "probability": 0.9742431640625}, {"start": 2179.73, "end": 2180.15, "word": " مثلا", "probability": 0.92919921875}, {"start": 2180.15, "end": 2180.37, "word": " في", "probability": 0.92578125}, {"start": 2180.37, "end": 2180.69, "word": " H", "probability": 0.6435546875}], "temperature": 1.0}, {"id": 89, "seek": 221100, "start": 2182.14, "end": 2211.0, "text": "في أول دوران أشوف 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{"start": 2562.06, "end": 2562.86, "word": " الشغلات", "probability": 0.987060546875}, {"start": 2562.86, "end": 2563.38, "word": " التي", "probability": 0.73974609375}, {"start": 2563.38, "end": 2563.86, "word": " تهم", "probability": 0.92041015625}, {"start": 2563.86, "end": 2564.4, "word": " خاص", "probability": 0.90234375}, {"start": 2564.4, "end": 2564.56, "word": " ال", "probability": 0.5234375}, {"start": 2564.56, "end": 2564.92, "word": " group", "probability": 0.9892578125}, {"start": 2564.92, "end": 2565.58, "word": " لحد", "probability": 0.94091796875}, {"start": 2565.58, "end": 2565.8, "word": " هنا", "probability": 0.9912109375}, {"start": 2565.8, "end": 2566.0, "word": " بدنا", "probability": 0.931396484375}, {"start": 2566.0, "end": 2566.44, "word": " نوقف", "probability": 0.9736328125}, {"start": 2566.44, "end": 2567.02, "word": " بالنسبة", "probability": 0.92431640625}, {"start": 2567.02, "end": 2567.44, "word": " لمين", "probability": 0.6026611328125}, {"start": 2567.44, "end": 2568.98, "word": " للأمثلة", "probability": 0.787841796875}], "temperature": 1.0}, {"id": 105, "seek": 263467, "start": 2607.73, "end": 2634.67, "text": "بنجي لحاجة اسمها ال elementary properties of groups هنعقد اعطي نقاط فيها النقطة الأولى ن هي group g", "tokens": [3555, 1863, 7435, 1829, 5296, 5016, 26108, 3660, 24525, 2304, 11296, 2423, 16429, 7221, 295, 3935, 8032, 1863, 3615, 28543, 1975, 3615, 9566, 1829, 8717, 4587, 41193, 8978, 11296, 28239, 47432, 3660, 16247, 12610, 7578, 8717, 39896, 1594, 290], "avg_logprob": -0.3474609263241291, "compression_ratio": 1.1666666666666667, "no_speech_prob": 0.0, "words": [{"start": 2607.73, "end": 2608.47, "word": "بنجي", "probability": 0.50885009765625}, {"start": 2608.47, "end": 2608.91, "word": " لحاجة", "probability": 0.8232421875}, {"start": 2608.91, "end": 2609.45, "word": " اسمها", "probability": 0.9498697916666666}, {"start": 2609.45, "end": 2609.71, "word": " ال", "probability": 0.81591796875}, {"start": 2609.71, 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{"start": 2632.47, "end": 2633.23, "word": " group", "probability": 0.91162109375}, {"start": 2633.23, "end": 2634.67, "word": " g", "probability": 0.46533203125}], "temperature": 1.0}, {"id": 106, "seek": 266321, "start": 2638.91, "end": 2663.21, "text": "there is only one identity element احنا المرة اللي فاتت لما عرفنا ال group", "tokens": [15456, 307, 787, 472, 6575, 4478, 1975, 5016, 8315, 9673, 25720, 13672, 1829, 6156, 9307, 2655, 5296, 15042, 6225, 28480, 8315, 2423, 1594], "avg_logprob": -0.17350261099636555, "compression_ratio": 1.1222222222222222, "no_speech_prob": 0.0, "words": [{"start": 2638.91, "end": 2639.77, "word": "there", "probability": 0.407470703125}, {"start": 2639.77, "end": 2640.63, "word": " is", "probability": 0.892578125}, {"start": 2640.63, "end": 2642.25, "word": " only", "probability": 0.93505859375}, {"start": 2642.25, "end": 2644.21, "word": " one", "probability": 0.95947265625}, {"start": 2644.21, "end": 2646.67, "word": " identity", "probability": 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identity element في الجروب يكون وحيدا", "tokens": [4587, 1211, 8315, 5296, 7435, 32887, 3555, 8978, 11296, 6575, 4478, 44381, 19446, 4587, 1211, 1863, 33599, 8032, 15042, 1975, 2655, 1863, 9957, 31439, 6055, 1211, 9307, 3660, 31439, 36764, 24401, 2423, 47283, 16572, 46811, 10943, 7251, 3555, 4587, 7578, 33962, 33546, 10632, 16247, 12610, 7578, 9154, 16490, 33546, 3660, 25724, 32887, 3555, 39894, 39648, 1829, 2423, 6575, 4478, 8978, 25724, 32887, 3555, 7251, 30544, 4032, 5016, 25708, 995], "avg_logprob": -0.18258927890232632, "compression_ratio": 1.7018633540372672, "no_speech_prob": 0.0, "words": [{"start": 2663.92, "end": 2664.4, "word": "قلنا", "probability": 0.7578125}, {"start": 2664.4, "end": 2664.94, "word": " لجروب", "probability": 0.8033447265625}, {"start": 2664.94, "end": 2665.46, "word": " فيها", "probability": 0.90673828125}, {"start": 2665.46, "end": 2666.12, "word": " identity", "probability": 0.80322265625}, {"start": 2666.12, "end": 2666.58, "word": " element", 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109, "seek": 273671, "start": 2709.53, "end": 2736.71, "text": "إن الـ E and الـ E prime are two identity elements of the group G then ال A star E", "tokens": [28814, 1863, 2423, 39184, 462, 293, 2423, 39184, 462, 5835, 366, 732, 6575, 4959, 295, 264, 1594, 460, 550, 2423, 316, 3543, 462], "avg_logprob": -0.3880208407839139, "compression_ratio": 1.069767441860465, "no_speech_prob": 0.0, "words": [{"start": 2709.53, "end": 2710.03, "word": "إن", "probability": 0.6507568359375}, {"start": 2710.03, "end": 2710.33, "word": " الـ", "probability": 0.789306640625}, {"start": 2710.33, "end": 2710.73, "word": " E", "probability": 0.72265625}, {"start": 2710.73, "end": 2711.95, "word": " and", "probability": 0.340087890625}, {"start": 2711.95, "end": 2713.05, "word": " الـ", "probability": 0.780029296875}, {"start": 2713.05, "end": 2713.33, "word": " E", "probability": 0.90478515625}, {"start": 2713.33, "end": 2714.11, "word": " prime", "probability": 0.1358642578125}, {"start": 2714.11, "end": 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{"start": 2760.7, "end": 2761.34, "word": " صح", "probability": 0.963623046875}, {"start": 2761.34, "end": 2761.56, "word": " ولا", "probability": 0.93408203125}, {"start": 2761.56, "end": 2762.14, "word": " لأ؟", "probability": 0.6652018229166666}, {"start": 2762.14, "end": 2762.56, "word": " بالنسبة", "probability": 0.9847412109375}, {"start": 2762.56, "end": 2762.74, "word": " لأني", "probability": 0.4439697265625}, {"start": 2762.74, "end": 2762.98, "word": " إذا", "probability": 0.898681640625}, {"start": 2762.98, "end": 2763.24, "word": " كان", "probability": 0.98486328125}, {"start": 2763.24, "end": 2763.46, "word": " هذا", "probability": 0.9560546875}, {"start": 2763.46, "end": 2763.64, "word": " هو", "probability": 0.97998046875}, {"start": 2763.64, "end": 2763.76, "word": " ال", "probability": 0.97802734375}, {"start": 2763.76, "end": 2764.18, "word": " identity", "probability": 0.853515625}, {"start": 2764.18, "end": 2764.72, "word": " element", "probability": 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8717, 4117, 2655, 41185, 39627, 15730, 25062, 3215, 2288, 45595, 20498, 4032, 8717, 24793, 1211, 9673, 5016, 46958, 25720, 25062, 18513, 46007, 16472, 13412, 16606, 21984, 37279, 6027, 7578], "avg_logprob": -0.17854817134017745, "compression_ratio": 1.6199095022624435, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 2877.47, "end": 2877.97, "word": "إن", "probability": 0.2548828125}, {"start": 2877.97, "end": 2878.31, "word": " جدش", "probability": 0.6788736979166666}, {"start": 2878.31, "end": 2878.37, "word": " ال", "probability": 0.8154296875}, {"start": 2878.37, "end": 2878.59, "word": " group", "probability": 0.26953125}, {"start": 2878.59, "end": 2879.13, "word": " فيها", "probability": 0.828857421875}, {"start": 2879.13, "end": 2879.51, "word": " الواحد", "probability": 0.9501953125}, {"start": 2879.51, "end": 2879.67, "word": " ال", "probability": 0.9638671875}, {"start": 2879.67, "end": 2880.23, "word": " identity", "probability": 0.88525390625}, {"start": 2880.23, "end": 2880.83, "word": " element", "probability": 0.98193359375}, {"start": 2880.83, "end": 2881.25, "word": " يبقى", "probability": 0.9354248046875}, {"start": 2881.25, "end": 2881.73, "word": " الواحد", "probability": 0.9879557291666666}, {"start": 2881.73, "end": 2882.23, "word": " مافيش", "probability": 0.82373046875}, {"start": 2882.23, "end": 2882.73, "word": " غيره", "probability": 0.994140625}, {"start": 2882.73, "end": 2882.95, "word": " و", "probability": 0.57763671875}, {"start": 2882.95, "end": 2883.87, "word": " هكذا", "probability": 0.84130859375}, {"start": 2883.87, "end": 2886.27, "word": " تمام؟", "probability": 0.7418619791666666}, {"start": 2886.27, "end": 2886.53, "word": " في", "probability": 0.70849609375}, {"start": 2886.53, "end": 2887.09, "word": " كمان", "probability": 0.9397786458333334}, {"start": 2887.09, "end": 2887.69, "word": " نقطة", "probability": 0.9832356770833334}, {"start": 2887.69, "end": 2888.11, "word": " تانية", "probability": 0.9947916666666666}, {"start": 2888.11, "end": 2888.51, "word": " ممكن", "probability": 0.991943359375}, {"start": 2888.51, "end": 2889.17, "word": " نتعرض", "probability": 0.9427490234375}, {"start": 2889.17, "end": 2889.33, "word": " إلى", "probability": 0.257568359375}, {"start": 2889.33, "end": 2889.81, "word": " الآن", "probability": 0.8076171875}, {"start": 2889.81, "end": 2890.13, "word": " بس", "probability": 0.9697265625}, {"start": 2890.13, "end": 2890.73, "word": " بتاخد", "probability": 0.66015625}, {"start": 2890.73, "end": 2890.99, "word": " وقت", "probability": 0.956787109375}, {"start": 2890.99, "end": 2891.51, "word": " شوية", "probability": 0.9363606770833334}, {"start": 2891.51, "end": 2892.23, "word": " إذا", "probability": 0.83984375}, {"start": 2892.23, "end": 2892.81, "word": " نكتفي", "probability": 0.9637451171875}, {"start": 2892.81, "end": 2893.19, "word": " بهذا", "probability": 0.891845703125}, {"start": 2893.19, "end": 2893.59, "word": " القدر", "probability": 0.98876953125}, {"start": 2893.59, "end": 2893.87, "word": " اليوم", "probability": 0.907470703125}, {"start": 2893.87, "end": 2893.99, "word": " و", "probability": 0.81396484375}, {"start": 2893.99, "end": 2894.59, "word": " نكمل", "probability": 0.95654296875}, {"start": 2894.59, "end": 2895.89, "word": " المحاضرة", "probability": 0.984619140625}, {"start": 2895.89, "end": 2897.01, "word": " القادمة", "probability": 0.9930013020833334}, {"start": 2897.01, "end": 2897.35, "word": " ان", "probability": 0.58984375}, {"start": 2897.35, "end": 2897.71, "word": " شاء", "probability": 0.9716796875}, {"start": 2897.71, "end": 2898.13, "word": " الله", "probability": 0.92724609375}, {"start": 2898.13, "end": 2899.07, "word": " تعالى", "probability": 0.9881184895833334}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2900.358, "duration_after_vad": 2739.3699999999913}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/jT-3W_Othuo_postprocess.srt b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/jT-3W_Othuo_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..4b87421b9075e806ea3233ac79ff77b03532a998
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/jT-3W_Othuo_postprocess.srt
@@ -0,0 +1,1504 @@
+1
+00:00:21,720 --> 00:00:25,900
+السلام عليكم شباب ان شاء الله هنكمل ال .. بعد
+
+2
+00:00:25,900 --> 00:00:30,780
+أستاذ إسماعيل أصدر في مساقر جبر الحديث طبعا زي ما
+
+3
+00:00:30,780 --> 00:00:33,060
+أنا عارف و أنتوا عارفين أنه أستاذ إسماعيل وصل
+
+4
+00:00:33,060 --> 00:00:37,220
+لسؤال سبعتاشر مناقشة الوحدة التالتة اللي بتتكلم عن
+
+5
+00:00:37,220 --> 00:00:44,160
+finite group أو subgroups و ال finite groupسؤال 18
+
+6
+00:00:44,160 --> 00:00:48,020
+زي ما انت شايف قدامك if H and K are subgroups يعني
+
+7
+00:00:48,020 --> 00:00:52,860
+اندي two subgroups من الجيه H subgroup من الجيه ال
+
+8
+00:00:52,860 --> 00:00:56,640
+K subgroup من الجيه المطلوب في السؤال اثبت ان
+
+9
+00:00:56,640 --> 00:01:01,360
+اتقاطه عبارة عن subgroup معطياتي ان ال two
+
+10
+00:01:01,360 --> 00:01:04,900
+subgroups H وK مطلوب اثبت ان اتقاطه ولا ال two
+
+11
+00:01:04,900 --> 00:01:13,400
+subgroup بيعطيني ايضا subgroup لو بنرجع لالطرق
+
+12
+00:01:13,400 --> 00:01:16,160
+اللى من خلالها بثبت انه مجموعة ما عبارة عن
+
+13
+00:01:16,160 --> 00:01:19,940
+subgroup من group هبدأ بالوضع التقليدي ان اثبت
+
+14
+00:01:19,940 --> 00:01:24,440
+انها group تحت نفس العملية المعرفة على ال J اللى
+
+15
+00:01:24,440 --> 00:01:29,240
+هو التعريفبعد ذلك أخدنا تلت برق ال one step و ال
+
+16
+00:01:29,240 --> 00:01:33,120
+two step و ال finite subgroup test ال one step كان
+
+17
+00:01:33,120 --> 00:01:37,300
+بيعتمد على اثبات ان a-b في حالة الجامعة او a b
+
+18
+00:01:37,300 --> 00:01:41,160
+inverse في حالة ما تكون العملية عملية ضرب اثبت ان
+
+19
+00:01:41,160 --> 00:01:46,320
+لو ال a و ال b موجودين في المجموعة الجزئية ان a-b
+
+20
+00:01:46,320 --> 00:01:51,580
+او a b inverse موجودة فيها ال two step كان يعتمد
+
+21
+00:01:51,580 --> 00:01:57,300
+عليشعلى إثبات إن هذه المجموعة مغلطة على العملية
+
+22
+00:01:57,300 --> 00:02:05,200
+وعلى المعكوس طبعا في شغلة مهمة لازم يكون المجموعة
+
+23
+00:02:05,200 --> 00:02:09,600
+الجزئية اللي أنا بشرها هي مجموعة غير خالية لأنه
+
+24
+00:02:09,600 --> 00:02:12,420
+ماقدرش أثبت إن مجموعة خالية هي عبارة عن subgroup
+
+25
+00:02:12,420 --> 00:02:14,360
+بالنسبة لل finite
+
+26
+00:02:17,930 --> 00:02:22,550
+Test كنا نثبت فيه شرط واحد و هو ان المجموعة مغلقة
+
+27
+00:02:22,550 --> 00:02:28,970
+على العملية هل بإمكاني استعمل الطريقة الأولى و
+
+28
+00:02:28,970 --> 00:02:35,890
+الطريقة التانية First ال E ينتمي لل H ال E ينتمي
+
+29
+00:02:35,890 --> 00:02:39,990
+لل K صح ولا لأ المحايد موجود في ال H و المحايد
+
+30
+00:02:39,990 --> 00:02:44,670
+موجود في ال K النتيجة ان E موجود في التقاطع
+
+31
+00:02:44,670 --> 00:02:51,180
+وبالتالي التقاطعالـ two subgroups لا يساوي five
+
+32
+00:02:51,180 --> 00:03:02,500
+اختصارا للوقت هنستعمل الـ one step now let a و b
+
+33
+00:03:02,500 --> 00:03:08,660
+ينتمي للتقاطع هذا معناته حسب قوانين ال state
+
+34
+00:03:08,660 --> 00:03:14,800
+theory ان ال a و ال b ينتمي لل h and ال a و ال b
+
+35
+00:03:14,800 --> 00:03:19,820
+ينتمي لمين؟للكي تنساش ان ال H subgroup و ال K
+
+36
+00:03:19,820 --> 00:03:27,460
+subgroup معناته ال A B inverse موجودة وين في ال H
+
+37
+00:03:27,460 --> 00:03:33,200
+و موجودة وين في ال K ال A B inverse في ال H و ال A
+
+38
+00:03:33,200 --> 00:03:36,260
+B inverse في ال K ايه بال A B inverse وين موجود
+
+39
+00:03:36,260 --> 00:03:43,490
+موجود في التقاطعوبالتالي تقاطع مجموعة غير خالية
+
+40
+00:03:43,490 --> 00:03:50,170
+وفي نفس الوقت بتحقق شروط نظرية ال one step النتيجة
+
+41
+00:03:50,170 --> 00:04:01,590
+H تقاطع ال K sub group من ال G واضحة هذه؟ واضحة و
+
+42
+00:04:01,590 --> 00:04:02,470
+الله بدأت أوضيح؟
+
+43
+00:04:05,290 --> 00:04:09,770
+ما اثبتش ان ال B inverse ال H sub group و ال A و
+
+44
+00:04:09,770 --> 00:04:13,590
+ال B في ال H ف A B inverse في ال H بال one step
+
+45
+00:04:13,590 --> 00:04:21,970
+نتقل لسؤال 20 سؤال 20 يقول اثبت انه centralizer ال
+
+46
+00:04:21,970 --> 00:04:28,200
+A سو centralizer ال inverseهذا السؤال ممكنك تستعمل
+
+47
+00:04:28,200 --> 00:04:32,240
+أسلوبين للحلقة الأسلوب المباشر أن تكتب تعريف
+
+48
+00:04:32,240 --> 00:04:35,400
+المجموعة الأولى و تصل منها لتعريف المجموعة التانية
+
+49
+00:04:35,400 --> 00:04:39,880
+أو الأسلوب التاني الخاص بيثبت أنه الـcentralizer A
+
+50
+00:04:39,880 --> 00:04:42,640
+subset من الـcentralizer A inverse و
+
+51
+00:04:42,640 --> 00:04:45,500
+الـcentralizer A inverse subset من الـcentralizer
+
+52
+00:04:45,500 --> 00:04:51,500
+A أنا بفضل الأسلوب هذاCentralizer الـ A حسب
+
+53
+00:04:51,500 --> 00:04:56,200
+التعريف هذا عبارة عن كل ال X في J اللي بيكون
+
+54
+00:04:56,200 --> 00:05:04,460
+commute مع مين؟ مع ال A يعني AX بيساوي XA نشغل على
+
+55
+00:05:04,460 --> 00:05:09,940
+المجموعة نفسها هذا عبارة عن كل ال X في ال Jأضرب
+
+56
+00:05:09,940 --> 00:05:24,620
+ضغفين المساواة في a inverse اشتغلت
+
+57
+00:05:24,620 --> 00:05:29,200
+انا على المساواة اللى جوا ضربت في a inverse من
+
+58
+00:05:29,200 --> 00:05:35,950
+الجهتينهذا حاسيب معايا كل ال X في J حيث X A
+
+59
+00:05:35,950 --> 00:05:43,430
+Inverse بدي يساوي A Inverse X اجرأ تعريف المجموعة
+
+60
+00:05:43,430 --> 00:05:48,010
+هاد يشوف ايش بتاني لك هو كل ال X اللي في ال J اللي
+
+61
+00:05:48,010 --> 00:05:52,790
+بيكون commute مع مين؟ مع ال A Inverse وبالتالي هذا
+
+62
+00:05:52,790 --> 00:05:55,910
+عبارة عن Centralizer ال A Inverse
+
+63
+00:05:59,060 --> 00:06:04,400
+بإمكانك تفصل فيها و X في الأول ف X في التاني بعدين
+
+64
+00:06:04,400 --> 00:06:09,200
+X في التاني ثم X في الأول و تصل للمطلوب اثباته
+
+65
+00:06:09,200 --> 00:06:14,160
+واضح سؤال
+
+66
+00:06:14,160 --> 00:06:18,300
+23 سنحله
+
+67
+00:06:18,300 --> 00:06:26,030
+قدامك على الشاشة البيضة هذهعندي او هو زي ما انت
+
+68
+00:06:26,030 --> 00:06:30,730
+شايف معطيني جدول الضرب ل group j فيها العناصر من
+
+69
+00:06:30,730 --> 00:06:37,610
+واحد ل تمانية في عملية معرفة بغض النظر ايش التعريف
+
+70
+00:06:37,610 --> 00:06:42,790
+تبعها او القول تبعت العملية انا بهمني جدول الضرب
+
+71
+00:06:42,790 --> 00:06:46,750
+الموجود قدامي من خلال هذا الجدول بدي اجيب ال
+
+72
+00:06:46,750 --> 00:06:52,380
+centralizer لكل عنصر بدي اجيب ال centerتبع ال
+
+73
+00:06:52,380 --> 00:06:57,420
+group و بدى أجيب ال order لكل answer هذا السؤال
+
+74
+00:06:57,420 --> 00:07:02,340
+مهم جدا و كتير من الطلاب كانوا يغلطوا فيه نبدأ
+
+75
+00:07:02,340 --> 00:07:08,100
+بالفرع الأول find centralizer of each member of G
+
+76
+00:07:08,100 --> 00:07:12,660
+هنبدأ في البداية في ال identity من ال identity؟
+
+77
+00:07:13,910 --> 00:07:17,750
+واضح بالنسبة لي الواحد لإنه واحد مع أي عنصر
+
+78
+00:07:17,750 --> 00:07:25,510
+بيعطيني نفس العنصر طبعا centerizer الواحد عبارة عن
+
+79
+00:07:25,510 --> 00:07:34,910
+مين؟ ال group كله طبعا انا هستغل شغلة دراسة في سوء
+
+80
+00:07:34,910 --> 00:07:37,930
+ال 20 يعني انا لو جيب ال centralizer الاتنين
+
+81
+00:07:41,820 --> 00:07:46,700
+وعرفت ال inverse للتنين فبكون نفس ال centralizer
+
+82
+00:07:46,700 --> 00:07:55,740
+نبدأ بالتنين هاي التنين نبدأ
+
+83
+00:07:55,740 --> 00:08:02,060
+me commute مع التنين أكيد ال identity والتنين
+
+84
+00:08:02,060 --> 00:08:08,340
+نفسه لأن العنصر commute مع نفسه نبدأ التنين مع
+
+85
+00:08:08,340 --> 00:08:13,020
+التلاتة تنين مع التلاتة كده؟طيب تلاتة مع التنين
+
+86
+00:08:13,020 --> 00:08:19,280
+يكبر تلاتة برا مع الأربع تنين مع الأربع سبعة و
+
+87
+00:08:19,280 --> 00:08:25,920
+أربع مع التنين مش موجود مع الخمسة تنين مع الخمسة و
+
+88
+00:08:25,920 --> 00:08:32,200
+خمسة مع التنين ستة يكبر الستة موجود أو الخمسة طيب
+
+89
+00:08:33,200 --> 00:08:39,100
+التنين مع الستة .. التنين مع الستة كده؟ خمسة ..
+
+90
+00:08:39,100 --> 00:08:43,700
+التنين مع الستة خمسة .. طيب .. ستة مع التنين ..
+
+91
+00:08:43,700 --> 00:08:48,060
+إيه بقى برضه الستة موجود .. طيب .. تنين مع السبعة
+
+92
+00:08:48,060 --> 00:08:52,640
+.. السبعة مع الإتنين .. مانفعش .. تنين مع التمانية
+
+93
+00:08:52,640 --> 00:08:57,300
+.. تلاتة .. تنين أو تمانية مع التنين .. إيه بقى
+
+94
+00:08:57,300 --> 00:08:57,880
+بسكرها
+
+95
+00:09:01,430 --> 00:09:06,870
+تعالى نشوف مين العنصر اللى بدربه فى التنين بيعطينا
+
+96
+00:09:06,870 --> 00:09:11,310
+ال identity التنين يكبر ال centralizer التنين بدى
+
+97
+00:09:11,310 --> 00:09:14,170
+يساوي ال centralizer التنين inversely ليا تنين مش
+
+98
+00:09:14,170 --> 00:09:18,470
+هستفيد من الخاصية هذه ننتقل على التلاتة
+
+99
+00:09:23,130 --> 00:09:27,810
+أول حاجة الواحد موجود والتلاتة حد هيقول ليش
+
+100
+00:09:27,810 --> 00:09:32,450
+ماتعاملتش مع التنينالتلاتة مش موجودة في الـ
+
+101
+00:09:32,450 --> 00:09:37,090
+Centralizer التنين فأكيد التنين مش موجودة في الـ
+
+102
+00:09:37,090 --> 00:09:40,870
+Centralizer التلاتة طيب يجب الواحد والتانين
+
+103
+00:09:40,870 --> 00:09:45,430
+التلاتة خلصناهم التلاتة مع الأربعة ستة الأربعة مع
+
+104
+00:09:45,430 --> 00:09:49,130
+التلاتة تلاتة مانفعش أو الأربعة مع التلاتة اتنين
+
+105
+00:09:49,130 --> 00:09:56,240
+مانفعش التلاتة مع الخمسة سبعةالخمسة مع التلاتة ..
+
+106
+00:09:56,240 --> 00:10:01,860
+سبعة .. إيه بس؟ الخمسة موجود مع الستة .. تلاتة مع
+
+107
+00:10:01,860 --> 00:10:06,640
+الستة .. تمانية ستة مع التلاتة .. أربعة .. لأ
+
+108
+00:10:06,640 --> 00:10:11,580
+التلاتة مع السبعة .. واحد السبعة مع التلاتة .. إيه
+
+109
+00:10:11,580 --> 00:10:15,180
+بس؟ السبعة موجود طبعا والتمانية لأ بنفس الطريقة
+
+110
+00:10:15,180 --> 00:10:20,580
+هدف دي ساوي .. Centralize و التلاتة inverse مين
+
+111
+00:10:20,580 --> 00:10:26,710
+التلاتة inverse؟ السبعةليش؟ لأنه تلاتة في سبعة
+
+112
+00:10:26,710 --> 00:10:33,170
+واحد و سبعة في تلاتة واحد طيب خلصنا الواحد والتنين
+
+113
+00:10:33,170 --> 00:10:40,230
+والتلاتة والسبعة على الأربعة الاربعة
+
+114
+00:10:40,230 --> 00:10:47,490
+كميوت مع مين؟ نبدأ بالواحد والاربعة تنين والتلاتة
+
+115
+00:10:47,490 --> 00:10:52,840
+لألأن الأربعة لم توجد في الـ Centralizer 2 ولم
+
+116
+00:10:52,840 --> 00:10:57,720
+توجد في الـ Centralizer 3 نجرب مع الخمسة أربعة مع
+
+117
+00:10:57,720 --> 00:11:02,380
+الخمسة تمانية خمسة مع الأربعة تمانية اجبار الخمسة
+
+118
+00:11:02,380 --> 00:11:09,400
+موجود طيب الأربعة مع الستة سبعة و الستة مع الأربعة
+
+119
+00:11:09,400 --> 00:11:15,900
+تلاتة لأ الأربعة مع السبعة ستة و السبعة مع الأربعة
+
+120
+00:11:16,850 --> 00:11:21,530
+تنين لأ الاربع مع التمانية خمسة و التمانية مع
+
+121
+00:11:21,530 --> 00:11:26,130
+الأربعة يكبر تمانية هذا بني ساوز centralize و
+
+122
+00:11:26,130 --> 00:11:31,050
+الأربع inverse مين الأربع inverse الأربع مع نفسه
+
+123
+00:11:31,050 --> 00:11:37,050
+ماسفدناش اشيه centralize و الخمسة هلاحظ ان الواحد
+
+124
+00:11:37,050 --> 00:11:44,590
+و التنين الخمسة موجودة و التلاتة و الأربع و الخمسة
+
+125
+00:11:45,740 --> 00:11:50,580
+نجرب مع الستة خمسة مع الستة اتنين ستة مع الخمسة
+
+126
+00:11:50,580 --> 00:11:55,540
+اتنين طبعا الستة والسبعة والتمانية هدا بيساوي مين
+
+127
+00:11:55,540 --> 00:12:01,080
+الـ J بتظهر عندك الـ Centralizer الستة و
+
+128
+00:12:01,080 --> 00:12:05,640
+Centralizer التمانية هيتساوى بنفس الطريقة هيصيح
+
+129
+00:12:05,640 --> 00:12:15,160
+معاك واحد خمسة وستة وتمانية شوية بسهل التمانية
+
+130
+00:12:15,160 --> 00:12:19,800
+والستة ال inverse لهم زي بعض ستة في التمانية لأ لأ
+
+131
+00:12:19,800 --> 00:12:29,380
+لأ هانا حاسي معايا واحد خمسة و ستة و تمانية ان
+
+132
+00:12:29,380 --> 00:12:39,960
+الستة مع التمانية سبعة اتنين طيب
+
+133
+00:12:39,960 --> 00:12:47,630
+Centralizer بالتمانيةواحد وخمسة و تمانية واربع
+
+134
+00:12:47,630 --> 00:12:50,730
+واضح
+
+135
+00:12:50,730 --> 00:12:54,070
+كيف
+
+136
+00:12:54,070 --> 00:12:57,910
+الواحد
+
+137
+00:12:57,910 --> 00:13:02,400
+محايد بس الخمسةلأ من ال generator احنا اصلا
+
+138
+00:13:02,400 --> 00:13:06,760
+مابنتكلمش عن Cyclic group الخمسة commute مع الجميع
+
+139
+00:13:06,760 --> 00:13:11,780
+فلما نيجي نتكلم عن ثرع B زد الجيه مين العناصر
+
+140
+00:13:11,780 --> 00:13:18,140
+المشتركة في الكل واحد وخمسة الواحد و الخمسة هم
+
+141
+00:13:18,140 --> 00:13:27,280
+عناصر ال center يظل مين ال order ال order للواحد
+
+142
+00:13:27,280 --> 00:13:35,420
+كده؟ هذه سهلةطيب ال order للتنين هبدأ
+
+143
+00:13:35,420 --> 00:13:42,800
+بالتنين تنين مص تنين تنين في اتنين كده؟ لا يا عم
+
+144
+00:13:42,800 --> 00:13:50,320
+مش اربع تنين في اتنين واحد يكبر order التنين بدي
+
+145
+00:13:50,320 --> 00:13:51,140
+ساوى اتنين
+
+146
+00:13:56,000 --> 00:14:00,320
+شوف مدام انا مش عارف ايه العملية تحديدا من هي بشر
+
+147
+00:14:00,320 --> 00:14:06,640
+على ال general و هو ياش الضرب طيب ال order لتلاتة
+
+148
+00:14:06,640 --> 00:14:15,660
+تلاتة أست اتنين جديش تلاتة في تلاتة جديش خمسة طيب
+
+149
+00:14:15,660 --> 00:14:20,440
+تلاتة أست تلاتة عبارة عن تلاتة في تلاتة في تلاتة
+
+150
+00:14:20,440 --> 00:14:31,740
+خمسة في تلاتة جديشخمسة في تلاتة سبعة طيب نكمل يبقى
+
+151
+00:14:31,740 --> 00:14:39,660
+ال order مش اتنين و مش تلاتة نجرب اربعة تلاتة اص
+
+152
+00:14:39,660 --> 00:14:45,080
+اربعة تلاتة في تلاتة في تلاتة في تلاتة هنا خمسة و
+
+153
+00:14:45,080 --> 00:14:52,460
+هنا خمسة خمسة في خمسةOrder الاربعة هيساوي اربعة
+
+154
+00:14:52,460 --> 00:14:58,400
+Order الخامسة
+
+155
+00:14:58,400 --> 00:15:04,800
+هيساوي اتنين Order الستة هيساوي اتنين Order السبعة
+
+156
+00:15:04,800 --> 00:15:11,360
+هيساوي اربعة Order التمانية هيساوي اتنين بنفس
+
+157
+00:15:11,360 --> 00:15:16,980
+الطريقة تطلع ال orders زي ما انت شايف واضح؟
+
+158
+00:15:18,100 --> 00:15:22,760
+واضح ولا ما في حاجة محتاجة توضيح؟
+
+159
+00:15:22,760 --> 00:15:26,360
+مالو؟
+
+160
+00:15:26,360 --> 00:15:30,460
+how are these order are thematically related to
+
+161
+00:15:30,460 --> 00:15:32,880
+the order of the group؟ ايش ال orders اللي طلعت
+
+162
+00:15:32,880 --> 00:15:36,740
+معاك؟ واحد واتنين واربعة بيقسموا التمانية في
+
+163
+00:15:36,740 --> 00:15:40,740
+chapter سبعة هناخ نظرية بتقول ان order أي عنصر في
+
+164
+00:15:40,740 --> 00:15:45,000
+ال finite group بيقسم ال order تبع ال group نفسه
+
+165
+00:15:45,000 --> 00:15:47,000
+هذه نظرية اسمها نظرية Lagrang
+
+166
+00:15:50,850 --> 00:15:56,250
+طيب نيجي لسؤال 26 26
+
+167
+00:15:56,250 --> 00:16:01,990
+بيعمم
+
+168
+00:16:01,990 --> 00:16:07,970
+تعريف Centralizer العنصر و بينتقل منه ل
+
+169
+00:16:07,970 --> 00:16:13,430
+Centralizer المجموعة فلو كان عندي sub group من ال
+
+170
+00:16:13,430 --> 00:16:19,690
+Jف الـ centralizer الـ H عبارة عن الـ X في الـ J
+
+171
+00:16:19,690 --> 00:16:25,210
+اللي بيكون commute مع مين؟ مع كل عناصر الـ H يعني
+
+172
+00:16:25,210 --> 00:16:35,150
+XH بيساوي HX لكل H في H مطلوب من يثبت هنا أن الـ
+
+173
+00:16:35,150 --> 00:16:40,050
+centralizer للـ H عبارة عن subgroup
+
+174
+00:16:47,010 --> 00:16:52,610
+طيب في البداية لازم نثبت ان هذه المجموعة فيها
+
+175
+00:16:52,610 --> 00:17:03,250
+عناصر first ال E اكس او ال E ايه؟ ايه؟ ايه؟ ايه؟
+
+176
+00:17:03,250 --> 00:17:05,110
+ايه؟ ايه؟ ايه؟ ايه؟ ايه؟ ايه؟ ايه؟ ايه؟ ايه؟ ايه؟
+
+177
+00:17:05,110 --> 00:17:09,290
+ايه؟ ايه؟ ايه؟ ايه؟ ايه؟ ايه؟ ايه؟ ايه؟ ايه؟ ايه؟
+
+178
+00:17:09,290 --> 00:17:14,990
+ايه؟ ايه؟ ايه؟
+
+179
+00:17:15,820 --> 00:17:19,460
+يعني ينتمي لـ Centralizer الـ H وهذا يعني
+
+180
+00:17:19,460 --> 00:17:29,180
+Centralizer الـ H not empty كيف؟
+
+181
+00:17:29,180 --> 00:17:37,420
+H في H، A في J أنا فاهم، بس أنا بنتقل من إنه محايد
+
+182
+00:17:37,420 --> 00:17:39,560
+لكل الـ J فمحايد للجزء
+
+183
+00:17:46,120 --> 00:17:51,940
+طيب احنا بنشتغل ان ال X من ال H ولا من ال J طيب
+
+184
+00:17:51,940 --> 00:17:59,900
+انتقالي من هنا لهنا ان هو محيط للكل فمحيط للجزء
+
+185
+00:17:59,900 --> 00:18:03,660
+الجزئية
+
+186
+00:18:03,660 --> 00:18:12,280
+التانية ل A و B ينتمي ل Centralizer ال H هداش
+
+187
+00:18:12,280 --> 00:18:21,310
+معناتهمعناته ax بدي ساوي اك .. او h بدي ساوي ha ph
+
+188
+00:18:21,310 --> 00:18:30,250
+بدي ساوي hb لكل h small في h capital طيب .. هذا
+
+189
+00:18:30,250 --> 00:18:33,330
+هيخليني اقول ان aH
+
+190
+00:18:36,200 --> 00:18:41,760
+او هنا هنتقل منها بي انفرس بي اتش بي انفرس بدي
+
+191
+00:18:41,760 --> 00:18:51,180
+اساوي بي انفرس اتش بي بي انفرس حاسيب معايا بي
+
+192
+00:18:51,180 --> 00:18:58,420
+انفرس اتش بي انفرس بي انفرس اتش
+
+193
+00:19:00,880 --> 00:19:04,040
+علشان ال a b inverse يكون في ال centralizer و ال h
+
+194
+00:19:04,040 --> 00:19:11,140
+لازم ال a b inverse في h يساوي h a b inverse a b
+
+195
+00:19:11,140 --> 00:19:19,420
+inverse ال h عبارة عن a b inverse ال h اللي عبارة
+
+196
+00:19:19,420 --> 00:19:30,750
+عن a h b inverse يعني a h في b inverse يعني h aفي
+
+197
+00:19:30,750 --> 00:19:38,550
+B inverse او H AB inverse هذا معناته انه AB
+
+198
+00:19:38,550 --> 00:19:43,210
+inverse ينتمي لcentralizer الـH وبالتالي
+
+199
+00:19:43,210 --> 00:19:50,950
+centralizer الـH subgroup من الـG طبعا مش من
+
+200
+00:19:50,950 --> 00:19:55,690
+الضرورة ان عناصر centralizer الـH تكون في الـH
+
+201
+00:19:55,690 --> 00:20:02,430
+نفسهامش ضروري ان عناصر الـ centralizer الـ H تكون
+
+202
+00:20:02,430 --> 00:20:09,950
+في الـ H نفسها يعني
+
+203
+00:20:09,950 --> 00:20:13,910
+حتى ممكن يكون الـ centralizer عدد عناصره أكتر من
+
+204
+00:20:13,910 --> 00:20:19,630
+الـ H centralizer ال subgroup يكون فيه عناصر أكتر
+
+205
+00:20:19,630 --> 00:20:25,970
+من ال subgroup نفسها وين؟
+
+206
+00:20:28,090 --> 00:20:36,690
+رد يا مهر اقولك ايه انت ملاقيتش اتجاه
+
+207
+00:20:36,690 --> 00:20:42,230
+هذى عناصر الصندوق لازم من وين من جيه بس لازم تكون
+
+208
+00:20:42,230 --> 00:20:45,670
+تتبدل مع كل عناصر H طب هيا احنا انتقلنا من هتتبدل
+
+209
+00:20:45,670 --> 00:20:49,190
+مع كل عناصر جيه يعني مثلا العنصر بتتبدل مع كل
+
+210
+00:20:49,190 --> 00:20:52,590
+عناصر القاعة هيتبدل مع عناصر جيها ولا لأ
+
+211
+00:21:00,940 --> 00:21:06,040
+كيف ده اكتب هذه مش حاجة ده اكتب مباشرة لما انتقل
+
+212
+00:21:06,040 --> 00:21:14,040
+من معلومة انا متأكد منها 29 let J be an abelian
+
+213
+00:21:14,040 --> 00:21:17,000
+group with identity E and let N be some fixed
+
+214
+00:21:17,000 --> 00:21:19,800
+integer, both are the set of all elements of J
+
+215
+00:21:19,800 --> 00:21:26,040
+that satisfy the equation J
+
+216
+00:21:26,040 --> 00:21:26,740
+abelian
+
+217
+00:21:34,850 --> 00:21:42,210
+و الـ N ينتمي للـ national number أو حتى ينتمي للـ
+
+218
+00:21:42,210 --> 00:21:49,930
+Z بشكل عام The set of all elements in J يعني ال
+
+219
+00:21:49,930 --> 00:21:55,990
+set هذه خلّيني أعتبر عنها بغمز T هي كل ال X في J
+
+220
+00:21:55,990 --> 00:22:01,150
+اللي X أسن بدأ تساوي ال identity مطلوب أثبت أنه T
+
+221
+00:22:02,420 --> 00:22:08,400
+subgroup من الـ j مطلوب أثبت أن مجموعة حل معادلة
+
+222
+00:22:08,400 --> 00:22:13,400
+ما في group
+
+223
+00:22:13,400 --> 00:22:18,980
+بس بشغل أنها تكون abelian بيعطيني ال subgroup ماشي
+
+224
+00:22:18,980 --> 00:22:24,380
+proof طبعا السؤال اللي لتكمله أنه لو شيلنا كلمة
+
+225
+00:22:24,380 --> 00:22:31,760
+abelian ببطّر كلام هذا صحيح first ال team ده عنصر
+
+226
+00:22:33,560 --> 00:22:39,200
+الـ A أُس N بدي ساوي إيه؟ إجباليا تملة T وبالتالي
+
+227
+00:22:39,200 --> 00:22:48,520
+T ليست مجموعة خالية تقل الخطوة التانية لت A و B
+
+228
+00:22:48,520 --> 00:22:55,860
+تملة T إيش يعني؟ A أُس N بدي ساوي ال identity B
+
+229
+00:22:55,860 --> 00:23:02,260
+أُس N بدي ساوي ال identity طيبالـ A الـ B أُس أن
+
+230
+00:23:02,260 --> 00:23:06,860
+بدي يساوي ال identity بـ B أُس أن inverse بدي
+
+231
+00:23:06,860 --> 00:23:11,960
+يساوي ال identity inverse بدي يساوي ايش ال
+
+232
+00:23:11,960 --> 00:23:20,300
+identity بس هذه عبارة عن B inverse لكل أس أن ده
+
+233
+00:23:20,300 --> 00:23:27,540
+تساوي ال identity طيب احنا هنا بنجهزمعلومة معينة
+
+234
+00:23:27,540 --> 00:23:32,700
+نسميها الغرس علشان نستعملها في الإثبات التالي Now
+
+235
+00:23:32,700 --> 00:23:40,100
+A P inverse لكل أسن تنساش أن ال J is abelian هذا
+
+236
+00:23:40,100 --> 00:23:50,980
+عبارة عن A أسن P inverse أسن هذا ليش؟ J is abelian
+
+237
+00:23:50,980 --> 00:23:56,450
+طب ال A أسن إيش بتساوي؟الـ Identity والـ B inverse
+
+238
+00:23:56,450 --> 00:24:02,890
+أُس N برضه الـ Identity Identity في Identity سوى
+
+239
+00:24:02,890 --> 00:24:08,530
+الـ Identity وبالتالي A B inverse أُس N سوى الـ E
+
+240
+00:24:08,530 --> 00:24:17,970
+A B inverse يعني تامي للـ T تامي للـ T sub group
+
+241
+00:24:17,970 --> 00:24:24,380
+من الـ GT صارت subgroup لاحظ ان هذا الاسلوب
+
+242
+00:24:24,380 --> 00:24:29,620
+استعملته تلت مرات اليوم باستعمال ال first step
+
+243
+00:24:29,620 --> 00:24:35,600
+تكملت السؤال ايش بيقول ليه Give an example of a
+
+244
+00:24:35,600 --> 00:24:39,940
+group J in which the set of all elements of J that
+
+245
+00:24:39,940 --> 00:24:44,300
+satisfy the equation X تربيه بديه ساوي E doesn't
+
+246
+00:24:44,300 --> 00:24:49,220
+form a subgroup of J شوف
+
+247
+00:24:52,250 --> 00:24:56,550
+طلع المعطايا اللي أعطانيها المعطاء اللي بيخص ال
+
+248
+00:24:56,550 --> 00:25:00,830
+group نفسه انها إيش abelian فلو كانت ال group
+
+249
+00:25:00,830 --> 00:25:05,090
+abelian أكيد ال T sub group يعني بقى لما تديش تدور
+
+250
+00:25:05,090 --> 00:25:09,590
+على example تروحش تدور في ال abelian group هتدور
+
+251
+00:25:09,590 --> 00:25:13,730
+وين؟ في ال non abelian أكم non abelian sub group
+
+252
+00:25:13,730 --> 00:25:19,130
+أخدت حتى الآن واحدة واحدة بس طبعا هو في non
+
+253
+00:25:19,130 --> 00:25:25,250
+abelian sub group غيرهأخدت طبعا واحدة non-abelian
+
+254
+00:25:25,250 --> 00:25:31,630
+اللي هي JL2R أو SL2R لكن هنا حاجة صعوبة في حال
+
+255
+00:25:31,630 --> 00:25:37,330
+المعادلات في ال matrices عملية
+
+256
+00:25:37,330 --> 00:25:43,570
+الطرح بتعمليش جوب أصلا مع ال Z طيب
+
+257
+00:25:43,570 --> 00:25:52,170
+شوية بس الطرح لأ بتعملي جوب بتعملي جوب في الان لأ
+
+258
+00:25:53,410 --> 00:26:00,470
+هناخد الـ J عبارة عن الـ D4 لما يجي نشتغل T عبارة
+
+259
+00:26:00,470 --> 00:26:04,830
+عن كل ال X في الـ D4 اللي X تقريبا بيساوي ال
+
+260
+00:26:04,830 --> 00:26:09,170
+identity ارجع ال multiplication table للـ D4 هدي
+
+261
+00:26:09,170 --> 00:26:16,790
+هيعطيك ال R0 ال R رمية
+
+262
+00:26:16,790 --> 00:26:27,630
+و تمانينو ال H و ال V و ال D و ال D شغطة وهذه ليست
+
+263
+00:26:27,630 --> 00:26:32,610
+subgroup of
+
+264
+00:26:32,610 --> 00:26:38,070
+D4 هذه مستحيلة تكون subgroup لل D4 ليش؟ شوية بس
+
+265
+00:26:38,070 --> 00:26:44,570
+ليش مش هتكون subgroup من ال D4؟
+
+266
+00:26:44,570 --> 00:26:44,990
+اه
+
+267
+00:26:48,050 --> 00:26:52,430
+كل عنصر موجود هو معكوسه ال inverse exist لكن هل
+
+268
+00:26:52,430 --> 00:27:02,430
+المجموعة مغلقة فلو ضربت ال D في D شرطة شو هيعطيك D
+
+269
+00:27:02,430 --> 00:27:08,910
+في D شرطة هيعطيك يا R 90 يا R 270 حسب اتجاه الضرب
+
+270
+00:27:11,810 --> 00:27:14,330
+يعني في النهاية انت لو ضربت انتين من هدول في بعض
+
+271
+00:27:14,330 --> 00:27:18,870
+هعطيك ال R90 والـ R90 مش موجودة في ال T قبل T نطسة
+
+272
+00:27:18,870 --> 00:27:37,810
+بالجروب من ال D فافضل صحيح
+
+273
+00:27:37,810 --> 00:27:41,430
+طيب
+
+274
+00:27:43,770 --> 00:27:51,670
+مش في بعدها تلاتين طيب
+
+275
+00:27:51,670 --> 00:27:54,850
+سؤال تلاتين بيقول لصبوز a belong to the group ال
+
+276
+00:27:54,850 --> 00:28:01,130
+order ل ال a بيساوي خمسة ال
+
+277
+00:28:01,130 --> 00:28:07,350
+a في ال j و order ل ال a بيساوي خمسة center
+
+278
+00:28:07,350 --> 00:28:12,870
+centralizer ل a بيساوي centralizer
+
+279
+00:28:19,750 --> 00:28:25,490
+من عنده فكرة على السؤال هذا من عنده فكرة على
+
+280
+00:28:25,490 --> 00:28:27,930
+السؤال هذا من عنده فكرة على السؤال هذا من عنده
+
+281
+00:28:27,930 --> 00:28:28,630
+فكرة على السؤال هذا من عنده فكرة على السؤال هذا من
+
+282
+00:28:28,630 --> 00:28:28,790
+عنده فكرة على السؤال هذا من عنده فكرة على السؤال
+
+283
+00:28:28,790 --> 00:28:32,070
+هذا من عنده فكرة على السؤال هذا من عنده فكرة على
+
+284
+00:28:32,070 --> 00:28:39,090
+السؤال هذا من عنده فكرة على السؤال هذا من
+
+285
+00:28:39,090 --> 00:28:40,370
+عنده فكرة على السؤال هذا من عنده فكرة على السؤال
+
+286
+00:28:40,370 --> 00:28:40,970
+هذا من عنده فكرة على السؤال هذا من عنده فكرة على
+
+287
+00:28:40,970 --> 00:28:44,990
+السؤالorder لل inverse طيب بس ايش هتستفيد ان
+
+288
+00:28:44,990 --> 00:29:04,130
+هالكلام ايش هتستفيد تعالوا
+
+289
+00:29:04,130 --> 00:29:06,350
+نضبطها بالواضح لسلوب التقليدي انه
+
+290
+00:29:10,270 --> 00:29:15,410
+الأخضر ل ال A خمسة مش واحد ايش ده بتستفيد منها
+
+291
+00:29:15,410 --> 00:29:23,290
+تعلم ده بالاتجاه الأول او
+
+292
+00:29:23,290 --> 00:29:33,090
+خلينا اتجاه الأسل لين X ينتمي ل Centralizer A ده
+
+293
+00:29:33,090 --> 00:29:42,780
+اش معناته معناته AXبدي يساوي إيش؟ XA وبالتالي لما
+
+294
+00:29:42,780 --> 00:29:48,860
+نيجي نقول A تكييب X عبارة عن ال A في A في A في X A
+
+295
+00:29:48,860 --> 00:29:57,240
+في A في X في A A في X في A في A X في A في A في A X
+
+296
+00:29:57,240 --> 00:30:02,460
+A تكييب وين صارت ال X؟ في Centralizer ال A تكييب
+
+297
+00:30:03,400 --> 00:30:10,700
+وبتالي الـ Centralizer الـ A بيكون Subset من
+
+298
+00:30:10,700 --> 00:30:20,020
+Centralizer الـ A تكعيب وبتالي
+
+299
+00:30:20,020 --> 00:30:26,700
+خلصنا الاتجاه الأول انه Centralizer الـ A Subset
+
+300
+00:30:26,700 --> 00:30:35,290
+من Centralizer الـ A تكعيبمين عنده قدرة ان يثبت
+
+301
+00:30:35,290 --> 00:30:42,290
+للاتجاه التانى؟
+
+302
+00:30:42,290 --> 00:30:55,370
+اه
+
+303
+00:30:55,370 --> 00:30:59,850
+يا شباب فضل تطلعتوا كتاب؟
+
+304
+00:31:15,150 --> 00:31:17,630
+كبّي خطك و فمّا يجيب عليك
+
+305
+00:31:44,040 --> 00:31:49,720
+شوية بس .. شوية حاجات انت ضربت في الاتجاه اللي
+
+306
+00:31:49,720 --> 00:31:55,040
+نحيتي من اتجاه هذا لما ده تضرب هنا ده تضرب على نفس
+
+307
+00:31:55,040 --> 00:31:55,600
+الاتجاه
+
+308
+00:32:22,050 --> 00:32:30,630
+طيب، إيش سؤال؟ كان
+
+309
+00:32:30,630 --> 00:32:32,070
+سنجي اللي هو مش بروح لبنان
+
+310
+00:33:02,030 --> 00:33:05,650
+طب انت لما بدك تحطه ماناجك تستفيد انت بدك تنجل
+
+311
+00:33:05,650 --> 00:33:08,630
+تنتين ماتقدرش تنجل تنتين تنجل التلاتة لما تنجل
+
+312
+00:33:08,630 --> 00:33:14,450
+التلاتة هتصير X سواء X هتكمل
+
+313
+00:33:14,450 --> 00:33:21,950
+انا وانت بتحل وقعد في خطاين الخطأ الأول مابدتش صح
+
+314
+00:33:22,760 --> 00:33:25,200
+أنت لما بدك تيجي تبدأ وتثبت أن مجموعة بيساوي
+
+315
+00:33:25,200 --> 00:33:29,760
+مجموعة لازم تاخد عنصر من المجموعة هذه هتقول let X
+
+316
+00:33:29,760 --> 00:33:35,760
+ينتمي لـcentralizer الـ A تكعيب الخطأ التاني و أنت
+
+317
+00:33:35,760 --> 00:33:40,780
+بتشتغل مافكرتش تستعمل ال order أنت كتبت أن A X
+
+318
+00:33:40,780 --> 00:33:49,260
+تكعيب بيساوي A X A تكعيب بهذا
+
+319
+00:33:49,260 --> 00:33:49,620
+الشكل
+
+320
+00:33:53,180 --> 00:34:04,480
+طيب اضغط في X تكييب جهة في اي تكييب؟
+
+321
+00:34:04,480 --> 00:34:11,240
+هاي ال X ايش
+
+322
+00:34:11,240 --> 00:34:21,670
+حاسسي معاك هان؟ A6 X بدي ساوي A3 X A3الـ A أُس
+
+323
+00:34:21,670 --> 00:34:22,830
+ثلاثة الـ A أُس ثلاثة الـ A أُس ثلاثة الـ A أُس
+
+324
+00:34:22,830 --> 00:34:25,470
+ثلاثة الـ A أُس ثلاثة الـ A أُس ثلاثة الـ A أُس
+
+325
+00:34:25,470 --> 00:34:26,070
+ثلاثة الـ A أُس ثلاثة الـ A أُس ثلاثة الـ A أُس
+
+326
+00:34:26,070 --> 00:34:30,010
+ثلاثة الـ A أُس ثلاثة الـ A أُس ثلاثة الـ A أُس
+
+327
+00:34:30,010 --> 00:34:34,410
+ثلاثة الـ A أُس ثلاثة الـ A أُس ثلاثة الـ A أُس
+
+328
+00:34:34,410 --> 00:34:38,810
+ثلاثة الـ A أُس ثلاثة الـ A أُس ثلاثة الـ A أُس
+
+329
+00:34:38,810 --> 00:34:49,910
+ثلاثة الـ A أُس ثلاثة الـ
+
+330
+00:34:49,910 --> 00:34:56,040
+A أيجب اكس في Centralizer الـ A Centralizer الـ A
+
+331
+00:34:56,040 --> 00:35:03,020
+تكييب subset من Centralizer الـ A اعطيها 2 1 و 2
+
+332
+00:35:03,020 --> 00:35:08,680
+هيصير Centralizer الـ A بيساوي Centralizer الـ A
+
+333
+00:35:08,680 --> 00:35:17,240
+تكييب وهو المفروض واضح؟ واضح؟
+
+334
+00:35:17,240 --> 00:35:24,320
+واضح يا شباب؟لو كان ال order ل ال a سوى عشرة نفس
+
+335
+00:35:24,320 --> 00:35:28,080
+الكلمة كيف مش فاهم لو كان ال order ل ال a سوى عشرة
+
+336
+00:35:28,080 --> 00:35:32,600
+كيف ده توصلها يعني ال order ل ال a برضه متساوي
+
+337
+00:35:32,600 --> 00:35:36,680
+خمسة من جالك ال order ل ال a بيساوي عشرة بتستعمل
+
+338
+00:35:36,680 --> 00:35:41,920
+ان ال a plus خمسة بيساوي identity تقدرش كل اللي
+
+339
+00:35:41,920 --> 00:35:47,460
+بتقدر تثبته لو ال order ل ال a بيساوي عشرة انه ال
+
+340
+00:35:47,460 --> 00:35:50,380
+centralizer ل a تربيه او ال centralizer ل a تكعيب
+
+341
+00:35:50,380 --> 00:35:50,900
+متساوي
+
+342
+00:35:55,050 --> 00:36:00,210
+الـ A و الـ A تكيب جاجر طبعا ممكن منها توصل
+
+343
+00:36:00,210 --> 00:36:02,550
+الستغلال صغير ال A بساهم الستغلال صغير ال A تكيب
+
+344
+00:36:02,550 --> 00:36:06,130
+ممكن لكن ماقدرش انا اجزملك على هذا الكلام صحيح ولا
+
+345
+00:36:06,130 --> 00:36:12,890
+خطأ طيب
+
+346
+00:36:12,890 --> 00:36:22,860
+السؤال تلاتة و تلاتين اللي تكمل السؤال صحيحfind an
+
+347
+00:36:22,860 --> 00:36:26,180
+element a from subgroup such that in order الـ a
+
+348
+00:36:26,180 --> 00:36:29,900
+بيساوي 6 لكن الـ centralizer الـ a لا يساوي الـ
+
+349
+00:36:29,900 --> 00:36:37,960
+centralizer الـ a تكيب هات
+
+350
+00:36:37,960 --> 00:36:43,260
+مثال مدام
+
+351
+00:36:43,260 --> 00:36:46,820
+تشتغل على ال centralizer و بدكش مساواة اوعيك تجيب
+
+352
+00:36:46,820 --> 00:36:52,860
+مثال على abelian اوعيك تجيب مثالعلى abelian ايك
+
+353
+00:36:52,860 --> 00:36:57,240
+بدور على مين على مثال one abelian بعدين في الموضوع
+
+354
+00:36:57,240 --> 00:37:03,080
+الأردغ بدي يساوي 6 في
+
+355
+00:37:03,080 --> 00:37:09,920
+ال D3 في عنصر الأردغ له 6 لأ ايك بشر على D6 خد ال
+
+356
+00:37:09,920 --> 00:37:22,490
+J بدي يساوي D6 D6 عبارة عن R0 R 360 على 6 60120
+
+357
+00:37:22,490 --> 00:37:38,710
+180 240 و 6300 و عندك 6 دورانات و 6 انعكاسات كلها
+
+358
+00:37:38,710 --> 00:37:46,950
+R1 R2 R3 R4 R5 R6
+
+359
+00:37:50,560 --> 00:37:58,340
+عطينا عمصر ال order له 6 خد ال A بدي يساوي R120 ال
+
+360
+00:37:58,340 --> 00:38:04,740
+order لل A او R60 ال order لل A ايش بدي يساوي؟ 6
+
+361
+00:38:04,740 --> 00:38:19,620
+Centralizer ال A ايش بتساوي؟ R0 R60 R120 لعند R300
+
+362
+00:38:21,440 --> 00:38:25,180
+لكن الـ Centralizer الـ A تكعيب يعني الـ
+
+363
+00:38:25,180 --> 00:38:31,020
+Centralizer الـ R 180 عبارة عن الـ D6 كلها في
+
+364
+00:38:31,020 --> 00:38:35,100
+قاعدة أخدتها في قبل chapter أنه لو كانت الـ D N و
+
+365
+00:38:35,100 --> 00:38:39,760
+الـ N even فالـ Z تبع ال group أو الـ Center تبع
+
+366
+00:38:39,760 --> 00:38:47,300
+ال group عبارة عن R 0 و R 180 يعني بس Centralizer
+
+367
+00:38:47,300 --> 00:38:50,880
+الـ A لا يساوي الـ Centralizer الـ A تكعب
+
+368
+00:38:54,910 --> 00:39:03,250
+واضح؟ اه مهما فضل
+
+369
+00:39:03,250 --> 00:39:08,770
+الارض
+
+370
+00:39:08,770 --> 00:39:14,970
+لر ستين ر ستين مش ر ستة هذا حط ر ستين
+
+371
+00:39:21,640 --> 00:39:29,280
+مش كل المجموعة من R0
+
+372
+00:39:29,280 --> 00:39:34,820
+ل R300 R1
+
+373
+00:39:34,820 --> 00:39:45,040
+و R2 و R3 خليني اكتب بالسرد عشان اريحك بس
+
+374
+00:39:45,040 --> 00:39:50,520
+الدورانات مش الانعكاسات الدورانات ده فجأة واحدة
+
+375
+00:39:52,320 --> 00:39:55,000
+ماشي بقى بيعطيكوا العافية طبعا عشان الوقت انتهى
+
+376
+00:39:55,000 --> 00:39:57,380
+هنكمل السؤال و حضرة القادمة
+
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/jT-3W_Othuo_raw.json b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/jT-3W_Othuo_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..a26a90b9ce4f1d735fcbaf5aaab6e26b1dfcbb11
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/jT-3W_Othuo_raw.json
@@ -0,0 +1 @@
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"words": [{"start": 2334.9100000000003, "end": 2336.09, "word": "واضح؟", "probability": 0.800537109375}, {"start": 2336.09, "end": 2337.27, "word": " اه", "probability": 0.7138671875}, {"start": 2337.27, "end": 2337.83, "word": " مهما", "probability": 0.5052083333333334}, {"start": 2337.83, "end": 2343.25, "word": " فضل", "probability": 0.6993815104166666}, {"start": 2343.25, "end": 2348.77, "word": " الارض", "probability": 0.7022298177083334}, {"start": 2348.77, "end": 2349.19, "word": " لر", "probability": 0.3817138671875}, {"start": 2349.19, "end": 2349.81, "word": " ستين", "probability": 0.7646484375}, {"start": 2349.81, "end": 2350.83, "word": " ر", "probability": 0.1904296875}, {"start": 2350.83, "end": 2351.21, "word": " ستين", "probability": 0.8346354166666666}, {"start": 2351.21, "end": 2351.33, "word": " مش", "probability": 0.94873046875}, {"start": 2351.33, "end": 2351.49, "word": " ر", "probability": 0.72314453125}, {"start": 2351.49, "end": 2351.93, "word": " ستة", 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"avg_logprob": -0.33639705707045164, "compression_ratio": 1.4782608695652173, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 2361.64, "end": 2361.64, "word": "مش", "probability": 0.3575439453125}, {"start": 2361.64, "end": 2361.96, "word": " كل", "probability": 0.9453125}, {"start": 2361.96, "end": 2363.3, "word": " المجموعة", "probability": 0.813623046875}, {"start": 2363.3, "end": 2364.8, "word": " من", "probability": 0.2213134765625}, {"start": 2364.8, "end": 2369.28, "word": " R0", "probability": 0.696044921875}, {"start": 2369.28, "end": 2369.46, "word": " ل", "probability": 0.798828125}, {"start": 2369.46, "end": 2370.34, "word": " R300", "probability": 0.792724609375}, {"start": 2370.34, "end": 2374.82, "word": " R1", "probability": 0.50439453125}, {"start": 2374.82, "end": 2375.02, "word": " و", "probability": 0.91455078125}, {"start": 2375.02, "end": 2375.22, "word": " R2", "probability": 0.662109375}, {"start": 2375.22, "end": 2375.44, "word": " و", "probability": 0.98046875}, {"start": 2375.44, "end": 2375.68, "word": " R3", "probability": 0.876220703125}, {"start": 2375.68, "end": 2377.7, "word": " خليني", "probability": 0.71337890625}, {"start": 2377.7, "end": 2377.9, "word": " اكتب", "probability": 0.8621826171875}, {"start": 2377.9, "end": 2378.46, "word": " بالسرد", "probability": 0.699432373046875}, {"start": 2378.46, "end": 2378.66, "word": " عشان", "probability": 0.9588216145833334}, {"start": 2378.66, "end": 2379.24, "word": " اريحك", "probability": 0.7047119140625}, {"start": 2379.24, "end": 2385.04, "word": " بس", "probability": 0.9033203125}, {"start": 2385.04, "end": 2386.06, "word": " الدورانات", "probability": 0.9583740234375}, {"start": 2386.06, "end": 2386.38, "word": " مش", "probability": 0.97314453125}, {"start": 2386.38, "end": 2388.1, "word": " الانعكاسات", "probability": 0.840087890625}, {"start": 2388.1, "end": 2389.5, "word": " الدورانات", "probability": 0.86395263671875}, {"start": 2389.5, "end": 2389.68, "word": " ده", "probability": 0.7939453125}, {"start": 2389.68, "end": 2390.04, "word": " فجأة", "probability": 0.744110107421875}, {"start": 2390.04, "end": 2390.52, "word": " واحدة", "probability": 0.7039388020833334}], "temperature": 1.0}, {"id": 87, "seek": 239738, "start": 2392.32, "end": 2397.38, "text": "ماشي بقى بيعطيكوا العافية طبعا عشان الوقت انتهى هنكمل السؤال و حضرة القادمة", "tokens": [2304, 33599, 1829, 4724, 4587, 7578, 4724, 1829, 3615, 9566, 1829, 4117, 14407, 18863, 31845, 10632, 23032, 3555, 3615, 995, 6225, 8592, 7649, 2423, 30543, 2655, 16472, 47395, 7578, 8032, 1863, 24793, 1211, 21136, 33604, 6027, 4032, 11331, 11242, 25720, 25062, 18513, 46007], "avg_logprob": -0.17560369318181818, "compression_ratio": 1.3529411764705883, "no_speech_prob": 0.0, "words": [{"start": 2392.32, "end": 2392.7, "word": "ماشي", "probability": 0.80029296875}, {"start": 2392.7, "end": 2392.88, "word": " بقى", "probability": 0.9122721354166666}, {"start": 2392.88, "end": 2393.22, "word": " بيعطيكوا", "probability": 0.8113839285714286}, {"start": 2393.22, "end": 2393.68, "word": " العافية", "probability": 0.97216796875}, {"start": 2393.68, "end": 2394.08, "word": " طبعا", "probability": 0.927490234375}, {"start": 2394.08, "end": 2394.34, "word": " عشان", "probability": 0.9685872395833334}, {"start": 2394.34, "end": 2394.62, "word": " الوقت", "probability": 0.9772135416666666}, {"start": 2394.62, "end": 2395.0, "word": " انتهى", "probability": 0.93115234375}, {"start": 2395.0, "end": 2395.48, "word": " هنكمل", "probability": 0.721435546875}, {"start": 2395.48, "end": 2396.0, "word": " السؤال", "probability": 0.9918619791666666}, {"start": 2396.0, "end": 2396.68, "word": " و", "probability": 0.76513671875}, {"start": 2396.68, "end": 2396.94, "word": " حضرة", "probability": 0.5489095052083334}, {"start": 2396.94, "end": 2397.38, "word": " القادمة", "probability": 0.9674479166666666}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2398.0175, "duration_after_vad": 2196.1374999999925}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/jsNOtE-lgcg_raw.srt b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/jsNOtE-lgcg_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..a6d67852083ad932d34c40d498378704378cba6b
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/jsNOtE-lgcg_raw.srt
@@ -0,0 +1,1308 @@
+1
+00:00:22,050 --> 00:00:26,010
+السلام عليكم اسمي الله الرحمن الرحيم طبعا اليوم
+
+2
+00:00:26,010 --> 00:00:28,250
+هناخد ان شاء الله المحاضرة الأخيرة اللي هكون
+
+3
+00:00:28,250 --> 00:00:31,910
+متواجد معاكم فيها المحاضرة القادمة هيكون أستاذ
+
+4
+00:00:31,910 --> 00:00:36,090
+إسماعيل أصل هناخد بعض الأسئلة على الوحدة الخامسة
+
+5
+00:00:36,090 --> 00:00:38,970
+permutation group بس قبل ما أفوض في الأسئلة بدأ
+
+6
+00:00:38,970 --> 00:00:41,930
+أذكر للناس اللي ما كانوا موجودين المحاضرة الماضية
+
+7
+00:00:41,930 --> 00:00:48,410
+بقواعد حساب ال orders في ال permutationsأول شغلة
+
+8
+00:00:48,410 --> 00:00:52,970
+لو كان عندي permutation بهذا الشكل a1, a2 اللي عند
+
+9
+00:00:52,970 --> 00:01:02,370
+an فال order لل alpha بدي ساوي n الشغلة
+
+10
+00:01:02,370 --> 00:01:08,200
+التانيةلو كانت ال alpha مثلا عبارة عن alpha 1 و
+
+11
+00:01:08,200 --> 00:01:13,980
+alpha 2 لعند alpha k و هدولة عبارة عن cycles فال
+
+12
+00:01:13,980 --> 00:01:17,700
+order لل alpha عبارة عن ال least common multiple ل
+
+13
+00:01:17,700 --> 00:01:23,020
+order ال alpha 1 order ال alpha 2 order ال alpha k
+
+14
+00:01:23,020 --> 00:01:31,880
+تلاتة لو كانت ال alpha عبارة عن a1 a2 لعند anفال
+
+15
+00:01:31,880 --> 00:01:38,960
+alpha inverse هيكون a n a n minus واحد a تنين nine
+
+16
+00:01:38,960 --> 00:01:43,820
+a واحد ليش كتابت هنا تلات قواعد هادول لإن السؤال
+
+17
+00:01:43,820 --> 00:01:47,500
+الأول والسؤال التاني والسؤال التالت الموجودين
+
+18
+00:01:47,500 --> 00:01:53,040
+قدامك يتم التعامل معاهم بناء على الشغل اللي عندك
+
+19
+00:01:53,040 --> 00:01:58,420
+موجود جاب لما نحلهم هحل سؤال موجود في التلخيص وهو
+
+20
+00:01:59,420 --> 00:02:07,380
+Exercise على معتقد رقم 3 بيقول في ال S7 إيش
+
+21
+00:02:07,380 --> 00:02:12,240
+احتمالات ال order؟
+
+22
+00:02:12,240 --> 00:02:22,040
+يعني عناصر ال S7 إيش ال orders الممكنين عندك؟ هبدأ
+
+23
+00:02:22,040 --> 00:02:27,260
+بأشكال العناصر في ال S7 أول شكل ممكن يكون زي هيك
+
+24
+00:02:32,870 --> 00:02:38,250
+و هذا ال order إيه اللي و جدياش؟ سبعة ممكن أحصل
+
+25
+00:02:38,250 --> 00:02:44,370
+على عنصر بهذا الشكل a1, a2, a6 و ال order 6 بنفس
+
+26
+00:02:44,370 --> 00:02:49,370
+الطريقة أنا ممكن أحصل على ال order خمسة و أربعة و
+
+27
+00:02:49,370 --> 00:02:54,040
+تلاتة و اتنين و واحدةهاخد cycle فيها خمس عناصر
+
+28
+00:02:54,040 --> 00:02:59,000
+cycle فيها أربع عناصر cycle فيها تلت عناصر cycle
+
+29
+00:02:59,000 --> 00:03:03,200
+فيها عنصرين وcycle اللي هو ال identity مافيش فيها
+
+30
+00:03:03,200 --> 00:03:07,940
+ولا عنصر ييك بقى الأرقام من واحد لسبعة دائما
+
+31
+00:03:07,940 --> 00:03:15,000
+موجودين كاحتمالات orders هنا في شغلة مهمة عناصر ال
+
+32
+00:03:15,000 --> 00:03:17,960
+S7 كدهش عددهم؟
+
+33
+00:03:25,350 --> 00:03:29,190
+سبعة في ستة فاكتوريال سبعة في سبعمائه عشرين خمس
+
+34
+00:03:29,190 --> 00:03:30,070
+سلاف واربعين
+
+35
+00:03:40,100 --> 00:03:42,920
+خلال الأسئلة اللى هنشرحهم سواء أنا وصلتله أو
+
+36
+00:03:42,920 --> 00:03:47,080
+الأستاذ اسماعيل هيجي سؤال جداش عدد العناصر اللى من
+
+37
+00:03:47,080 --> 00:03:53,940
+order كذا في ال S7 و S8 طيب هيك اتخلصنا كل
+
+38
+00:03:53,940 --> 00:03:58,500
+الاحتمالات يكون عندي cycle واحدة ناخد احتمالات
+
+39
+00:03:58,500 --> 00:04:04,920
+يكون عندي two cycles مع بعض يعني مثلا لو جلنا A1,
+
+40
+00:04:05,200 --> 00:04:14,590
+A2, A3, A4, A5, A6لما بدي اكملها هيكون A7 طبعا هذا
+
+41
+00:04:14,590 --> 00:04:20,970
+بروح فانخجعت لمين لهذه ايه يبقى هذه مالهاش لازمة
+
+42
+00:04:20,970 --> 00:04:27,290
+نشيل A6 و نشتر على A5 اللي تكملة تبعتها يا cycles
+
+43
+00:04:27,290 --> 00:04:34,810
+زي هيك وبالتالي مالهمش لازمة يا cycle زي هيك في
+
+44
+00:04:34,810 --> 00:04:39,990
+هذه الحالة ال orderبقى عن ال least common multiple
+
+45
+00:04:39,990 --> 00:04:46,710
+لمن؟ لخمسة و اتنين كم؟ عشرة ايه باحتمال ان يكون
+
+46
+00:04:46,710 --> 00:04:52,610
+عنده عنصر ال order الو عشرة اشماله موجود طب لو
+
+47
+00:04:52,610 --> 00:04:57,690
+أخدنا مثلا Alpha خلصنا الخمسة cycle ناخد أربع
+
+48
+00:04:57,690 --> 00:05:04,570
+cycle A1, A2, A3, A4 بيضلوا تلت واحدات يا إما
+
+49
+00:05:04,570 --> 00:05:05,590
+بعملهم زي هيك
+
+50
+00:05:09,470 --> 00:05:14,590
+طبعا على الفاضي تلات واحدات واحد واحد واحد مابنفعش
+
+51
+00:05:14,590 --> 00:05:23,210
+يا اما a5 a6 a7 و هدا بشيله و بيصير ال order ل ال
+
+52
+00:05:23,210 --> 00:05:25,830
+alpha عبارة عن ال least common multiple لاربعة و
+
+53
+00:05:25,830 --> 00:05:33,530
+اتنين اربعة او ممكن يصير عندى الاحتمال هدا بدل ما
+
+54
+00:05:33,530 --> 00:05:38,720
+يكون لتنتينيكونوا تلاتة وال order للألف عبارة عن
+
+55
+00:05:38,720 --> 00:05:43,120
+ال least common multiple للأربعة والتلاتة جديش
+
+56
+00:05:43,120 --> 00:05:49,380
+اتناش طبعا الأربعة موجود مسبقا اصلا فمالوش اهمية
+
+57
+00:05:49,380 --> 00:05:53,220
+حاجات لما اريد اخلص انا icon الأولانية فيها أربعة
+
+58
+00:05:53,220 --> 00:06:00,100
+نيجي لما يريد يكون فيها جديش تلاتة اي واحد اي تنين
+
+59
+00:06:00,100 --> 00:06:06,330
+اي تلاتة التكملات يا اما واحدة فيها أربعة زي هذهأو
+
+60
+00:06:06,330 --> 00:06:10,990
+أربعة فيهم واحدة بلاش لازمة لأن في النهاية دول
+
+61
+00:06:10,990 --> 00:06:18,530
+بيكونوا identity يا إما واحدة فيهم تنتين والباقي
+
+62
+00:06:18,530 --> 00:06:29,030
+تنتين فيهم واحدة أو واحدة زي هيك سواء هذه أو
+
+63
+00:06:29,030 --> 00:06:32,480
+هذه اللي من نفس ال orderلأن حاسيب معايا ال order
+
+64
+00:06:32,480 --> 00:06:35,460
+للألفة يبقى on least common multiple اللي التلاتة
+
+65
+00:06:35,460 --> 00:06:40,860
+والاتنين بيعطينا ستة والست أصلا موجود طبعا اللي
+
+66
+00:06:40,860 --> 00:06:44,540
+بعد هي كده إذا أخد واحدة فيها تنتين يا بكمل بخمسة
+
+67
+00:06:44,540 --> 00:06:49,960
+يا بكمل باربعة وواحد يا بكمل بتلاتة واتنين يا بكمل
+
+68
+00:06:49,960 --> 00:06:54,160
+بخمس واحدات في النهاية هحصل على orders موجودين
+
+69
+00:06:54,160 --> 00:07:00,840
+مسبقا باحتمالات ال orders واحد واتنين وتلاتةو 4 و
+
+70
+00:07:00,840 --> 00:07:10,960
+5 و 6 و 7 و 10 و 12 يعني بأي عنصر داخل ال S7 ال
+
+71
+00:07:10,960 --> 00:07:17,300
+order إله واحد من هذه الأرقام لاحقا هناخد طريقة
+
+72
+00:07:17,300 --> 00:07:23,440
+كيف نعرف ال order ال 12 أكم عنصر موجود منه
+
+73
+00:07:27,110 --> 00:07:32,070
+اليناصر السبعة ال orders لها بتاخد الأرقام
+
+74
+00:07:35,000 --> 00:07:38,080
+طيب نيجي للأسئلة الواحد والاتنين والتلاتة
+
+75
+00:07:38,080 --> 00:07:41,280
+الموجودين قدامك find the order of each element
+
+76
+00:07:41,280 --> 00:07:45,460
+طبعا هذا هطبق مباشرة على القاعدة الأولى ال order
+
+77
+00:07:45,460 --> 00:07:49,340
+اتنين ال order تلاتة ال order خمسة ال order K
+
+78
+00:07:49,340 --> 00:07:54,420
+اتنين هطبق على مين القاعدة التانية ال least common
+
+79
+00:07:54,420 --> 00:07:57,420
+multiple للاربع والتلاتة اتن عاشر ال least common
+
+80
+00:07:57,420 --> 00:08:00,520
+multiple للخمسة والاتنين والخمسة عشرة ال least
+
+81
+00:08:00,520 --> 00:08:07,630
+common multiple للاتنين والاتنين والتلاتةستة صح؟
+
+82
+00:08:07,630 --> 00:08:16,330
+صح لأ غلط هدول لازم يكونوا ايش؟ disjoint لازم هدول
+
+83
+00:08:16,330 --> 00:08:21,770
+يكونوا ايش؟ لازم احولهم ليش؟ ل disjoint لازم اضغط
+
+84
+00:08:21,770 --> 00:08:26,310
+و اعملهم disjoint و بعدين اشتغل عليهالـ least
+
+85
+00:08:26,310 --> 00:08:29,910
+common multiple هبدأ بالواحد واحد للتلاتة و تلاتة
+
+86
+00:08:29,910 --> 00:08:34,790
+للخمسة يكبر واحد للخمسة خمسة للخمسة و خمسة للواحد
+
+87
+00:08:34,790 --> 00:08:39,930
+سكرها على التنين تنين للتنين و تنين للتلاتة يكبر
+
+88
+00:08:39,930 --> 00:08:46,990
+تنين للتلاتة تلاتة للاربع واربع للاربع واش ال
+
+89
+00:08:46,990 --> 00:08:51,310
+order least common multiple للتنين و التلاتة كم؟
+
+90
+00:08:51,310 --> 00:08:57,050
+ستةطبعا تجيش مرة واحدة و تقول least common
+
+91
+00:08:57,050 --> 00:08:59,110
+multiple زي ما كنا .. زي ما عملنا في الأول لإن
+
+92
+00:08:59,110 --> 00:09:02,490
+هدول إيش معلهم مش disjoint فلازم يكونوا disjoint
+
+93
+00:09:02,490 --> 00:09:07,350
+حسب النظرية هانا في P هدى لمّا بدك تشتغلها ابدا
+
+94
+00:09:07,350 --> 00:09:12,270
+بالواحد واحد لاتنين للتلاتة للتنين يكبر واحد
+
+95
+00:09:12,270 --> 00:09:17,290
+لاتنين تنين للاربعة اربعة للاربعة واربعة للاربعة
+
+96
+00:09:17,290 --> 00:09:21,670
+يكبر تنين للاربعة اربعة للستة ستة للستة وستة
+
+97
+00:09:21,670 --> 00:09:28,710
+للواحد وسكركمّل، تلاتة لنفسها، تلاتة للتنين، وتنين
+
+98
+00:09:28,710 --> 00:09:34,430
+للتلاتة طيب،
+
+99
+00:09:34,430 --> 00:09:40,190
+أربعة خلصناها، خمسة، خمسة للواحد، واحد لنفسه، واحد
+
+100
+00:09:40,190 --> 00:09:46,470
+للتلاتة، يبقى في خلل لنا هنا نرجع
+
+101
+00:09:46,470 --> 00:09:52,210
+للتلاتة، تلاتة لنفسهاالتلاتة للتنين والتنين للخمسة
+
+102
+00:09:52,210 --> 00:09:57,490
+صحيح اجبار التلاتة للخمسة وخمسة للواحد واحد للواحد
+
+103
+00:09:57,490 --> 00:10:01,390
+وواحد للتلاتة سكر اجبار اكيد الستة زي ما هي ال
+
+104
+00:10:01,390 --> 00:10:06,490
+least common multiple كم؟ ستة ال least common
+
+105
+00:10:06,490 --> 00:10:13,810
+multiple ستة اخر واحدة واحد للاربع اربع للاربع
+
+106
+00:10:13,810 --> 00:10:18,600
+للاربع للاربع اجبار واحد للاربعأربعة للتانين تانين
+
+107
+00:10:18,600 --> 00:10:21,880
+للتلاتة تلاتة للواحد واحد للتانين يكبر أربعة
+
+108
+00:10:21,880 --> 00:10:27,720
+للتانين تانين للواحد واحد للواحد واحد للتلاتة
+
+109
+00:10:27,720 --> 00:10:34,620
+تلاتة للتلاتة مين بيضل عنده؟ خلصه، اللي مافيش
+
+110
+00:10:34,620 --> 00:10:40,760
+خمسة، هيكبهاش ال order what
+
+111
+00:10:40,760 --> 00:10:45,360
+is the order؟write each of the following
+
+112
+00:10:45,360 --> 00:10:50,800
+permutation مش مشكلة what is the order of each of
+
+113
+00:10:50,800 --> 00:10:53,840
+the following permutation هنا بتطبق قاعدة least
+
+114
+00:10:53,840 --> 00:10:58,760
+common multiple بعد ما إياش طبعا هدول disjoint هدي
+
+115
+00:10:58,760 --> 00:11:05,560
+disjoint هدي disjoint هدي لأ وهدي لأ بتكتبهم زي ما
+
+116
+00:11:05,560 --> 00:11:10,060
+عملنا هنا و بعدين بتاخد مين ال least common
+
+117
+00:11:10,060 --> 00:11:18,730
+multiple واضح؟واضح يا شباب؟ هو احنا قرأنا السؤال
+
+118
+00:11:18,730 --> 00:11:21,570
+خطأ المفترض انه فقط نكتبهم زي هيك ما نحسبش ال
+
+119
+00:11:21,570 --> 00:11:24,990
+order سؤال ال order هو اللي تحت لكن قدر الله انه
+
+120
+00:11:24,990 --> 00:11:30,290
+نحسب ال order مع مين مع نكتبهم على شكل disjoint
+
+121
+00:11:30,290 --> 00:11:37,830
+cycles تلاتة
+
+122
+00:11:37,830 --> 00:11:42,850
+ايه؟ تلاتة مع تلاتاش اللي يكون multipleتلاتة اقبل
+
+123
+00:11:42,850 --> 00:11:46,750
+اردر تلاتة ال least common multiple هي تلاتة و
+
+124
+00:11:46,750 --> 00:11:55,370
+اربعة اتناش تلاتة و اتنين تلاتة و ستة ستة اربعة و
+
+125
+00:11:55,370 --> 00:12:00,710
+خمسة بس هدولة بدهم يكونوا بدك تشتغلهم سرعة اللي
+
+126
+00:12:00,710 --> 00:12:01,250
+انا همسح
+
+127
+00:12:21,220 --> 00:12:25,080
+طيب what is the order of each of the following
+
+128
+00:12:25,080 --> 00:12:31,060
+permutations؟ طبعا ايش هنعمل؟ هنكتبهم cycles نبدأ
+
+129
+00:12:31,060 --> 00:12:37,740
+بالواحد للتنين التنين للواحد و سكر تلاتة للخمسة و
+
+130
+00:12:37,740 --> 00:12:41,300
+خمسة للستة وستة للتلاتة واربع ايش ال least common
+
+131
+00:12:41,300 --> 00:12:49,090
+multiple؟ ستة هناواحد للسبعة، سبعة للخمسة، خمسة
+
+132
+00:12:49,090 --> 00:12:55,530
+للتلاتة، تلاتة للواحد وسكر كمل اتنين للستة وستة
+
+133
+00:12:55,530 --> 00:13:01,830
+للاربع ال least common multiple جديش اتناش ال
+
+134
+00:13:01,830 --> 00:13:04,870
+least common multiple للاربع والتلاتة عبارة عن
+
+135
+00:13:04,870 --> 00:13:09,110
+اتناش what is the order of product of a pair of
+
+136
+00:13:09,110 --> 00:13:13,450
+disjoint cycles of length اربع وستة ال least
+
+137
+00:13:13,450 --> 00:13:15,870
+common multiple لاربع وستة جديش
+
+138
+00:13:19,450 --> 00:13:23,770
+Show that A8 contains an element of order 15
+
+139
+00:13:28,770 --> 00:13:32,250
+عشان يكون عندك order خمسة عشر الخمسة عشر لازم تكون
+
+140
+00:13:32,250 --> 00:13:37,430
+least common multiple لعددين يا واحد و خمسة عشر
+
+141
+00:13:37,430 --> 00:13:41,470
+مقدرش احصل على طول خمسة عشر فيه تمانية يجب تلاتة
+
+142
+00:13:41,470 --> 00:13:45,890
+او خمسة يجب مين هناخد واحد اتنين تلاتة اربعة خمسة
+
+143
+00:13:45,890 --> 00:13:53,510
+ستة سبعة تمانية و هذه ال order لها جديشWhat are
+
+144
+00:13:53,510 --> 00:14:06,810
+the possible orders for the elements of S6 and A6؟
+
+145
+00:14:15,160 --> 00:14:20,780
+طيب حسب نفس الأسلوب ال orders واحد واثنين وتلاتة
+
+146
+00:14:20,780 --> 00:14:28,900
+واربعة وخمسة وستة يمالهم exist ال orders هدول
+
+147
+00:14:28,900 --> 00:14:33,780
+موجودين permutation فيها عنصر واحد عنصرين تلاتة
+
+148
+00:14:33,780 --> 00:14:41,310
+اربعة خمسة ستة هجيت نشوف التشكيلاتتشكيلات لـ
+
+149
+00:14:41,310 --> 00:14:44,970
+permutation طولة 6 يا إما بيكون عندي واحد اللي هو
+
+150
+00:14:44,970 --> 00:14:56,190
+a1, a2, a3, a4 طبعا او a5 مع a6 بنشيل ال a6 وبترجع
+
+151
+00:14:56,190 --> 00:15:04,010
+لمين؟ لخمسة بشيلها مع a5 و a6 القوة ده قداش 4
+
+152
+00:15:04,010 --> 00:15:13,820
+موجود أو تشكيلات بهذا الشكلتلاتة تلاتة او
+
+153
+00:15:13,820 --> 00:15:23,420
+تلاتة اتنين هنا ال order تلاتة موجود وهنا ال order
+
+154
+00:15:23,420 --> 00:15:28,840
+ستة موجود لو بتتكلم عن تشكيلات ال orders فيها
+
+155
+00:15:28,840 --> 00:15:35,720
+اتنين ا واحد اتنين ا تلاتة ا اربعة او ا واحد اتنين
+
+156
+00:15:35,720 --> 00:15:43,270
+ا تلاتة ا اربعةA5 A6 وهنا ال order اتنين موجود
+
+157
+00:15:43,270 --> 00:15:50,910
+وهنا ال order اتنين موجود يقبل orders في A6 فقط ال
+
+158
+00:15:50,910 --> 00:15:58,890
+orders in A6 are من
+
+159
+00:15:58,890 --> 00:16:07,550
+واحدة ستة طيب في A6E6 للناس اللي ماكانوش موجودين
+
+160
+00:16:07,550 --> 00:16:13,750
+هي ال even permutation لأ
+
+161
+00:16:13,750 --> 00:16:21,490
+ال even permutation عشان اقول انه ال alpha بكتبها
+
+162
+00:16:21,490 --> 00:16:26,610
+Alpha 1 Alpha 2 لعند Alpha N حيث Alpha I is two
+
+163
+00:16:26,610 --> 00:16:33,050
+cycle ايش يعني two cycle Alpha I عبارة عن AI 1 AI
+
+164
+00:16:33,050 --> 00:16:40,290
+2يعني ال .. ال permutation بروح بكتبه على شكل حاصل
+
+165
+00:16:40,290 --> 00:16:46,070
+ضرب cycles كل واحدة منهم الطولة جدياش اتنين هانا
+
+166
+00:16:46,070 --> 00:16:52,410
+مابفرجش معايا ال disjoint طبعا لو ال N even بقولي
+
+167
+00:16:52,410 --> 00:16:57,890
+ال alpha even لو ال N odd بقولي ال alpha ash
+
+168
+00:17:01,290 --> 00:17:07,430
+لو بدي اجي هان اول حاجة ال identity even يعني ال
+
+169
+00:17:07,430 --> 00:17:16,430
+identity في اي ستة يجب ال order واحد موجود طيب
+
+170
+00:17:16,430 --> 00:17:21,970
+ال order تنين هل بقدر الاقي عنصر ال order تنين في
+
+171
+00:17:21,970 --> 00:17:29,430
+اي ستة بلاقي واحد اتنين تلاتة اربعة ينتمي لإي ستة
+
+172
+00:17:30,690 --> 00:17:37,630
+يجب ال order اتنين ايش ماله؟ برضه موجود ليش هذا
+
+173
+00:17:37,630 --> 00:17:44,550
+العنصر زوجي يا شباب؟ ليش هذا زوجي؟ لأنه عبارة عن
+
+174
+00:17:44,550 --> 00:17:48,710
+عدد زوجي من ال two cycles هذا بنسميها two cycle و
+
+175
+00:17:48,710 --> 00:17:51,530
+هذا بنسميها two cycle في عندك تنتين من ال two
+
+176
+00:17:51,530 --> 00:17:57,370
+cycle؟ ماحدش يجيجي يقولني ماهي ال order اتنين و قد
+
+177
+00:17:57,370 --> 00:18:03,630
+لا انت من ايه ستة؟لأ يكفيني 1 عنصر 1 ال order اله
+
+178
+00:18:03,630 --> 00:18:09,110
+2 في ال a6 علشان اقول انه يوجد عنصر ال order اله 2
+
+179
+00:18:09,110 --> 00:18:13,690
+في ال a6 او ال order 2 موجود ضمن ال orders لعناصر
+
+180
+00:18:13,690 --> 00:18:24,090
+ال a6 طيب ال order 3 123 هل هو في a6 لأ في a6 هذا
+
+181
+00:18:24,090 --> 00:18:27,970
+عبارة عن 1312
+
+182
+00:18:30,900 --> 00:18:35,500
+هذه الـ permutation بتنكتب بهذا الشكل وهذا أنصف
+
+183
+00:18:35,500 --> 00:18:43,240
+ايه ستة؟ هذا أنصف كيف؟
+
+184
+00:18:43,240 --> 00:18:47,940
+لأ هذه غير هذه هذه الأردر اتنين لكن انا الأردر
+
+185
+00:18:47,940 --> 00:18:52,400
+تلاتة هذولا مش this joint يا شباب هذولا ال two
+
+186
+00:18:52,400 --> 00:18:59,110
+permutation مش this jointالعنصر هذا اللي ال order
+
+187
+00:18:59,110 --> 00:19:03,690
+إله التلاتة موجود في S ده خدها قاعدة كل cycle
+
+188
+00:19:03,690 --> 00:19:10,830
+طولها فردي بتكون permutation زوجية كل cycle طولها
+
+189
+00:19:10,830 --> 00:19:16,590
+فردي اش يعني طولها طبعا بتكلم عن cycle واحدة مش
+
+190
+00:19:16,590 --> 00:19:23,430
+حاصل ضرب cycles طولها فردي بتكون عنصر وين؟في A6 او
+
+191
+00:19:23,430 --> 00:19:29,490
+في AN يعني طب ان ال order تلاتة exist طب ال order
+
+192
+00:19:29,490 --> 00:19:39,590
+أربعة هذه لا ينتمي ل A6 هل هذا يعني ان مافيش order
+
+193
+00:19:39,590 --> 00:19:48,250
+أربعة في عناصر ال A6 لأ هذا العنصر ينتمي
+
+194
+00:19:48,250 --> 00:19:54,170
+ل A6ليش؟ لأن هذا بدي ساوي واحد اربعة واحد تلاتة
+
+195
+00:19:54,170 --> 00:20:00,690
+واحد اتنين خمسة ستة واحد اتنين تلاتة اربع اكم two
+
+196
+00:20:00,690 --> 00:20:06,690
+cycle عندك؟ اربع من ال two cycles يعني اربع
+
+197
+00:20:06,690 --> 00:20:11,210
+permutations جزئيات من ال alpha طول كل واحدة منهم
+
+198
+00:20:11,210 --> 00:20:17,090
+ايش؟ اتنين disjoint او مش disjoint مابهمنيش يكبر
+
+199
+00:20:17,090 --> 00:20:19,530
+ال order اربع موجود ولا مش موجود؟
+
+200
+00:20:24,980 --> 00:20:34,900
+موجود طيب ماشي اركز
+
+201
+00:20:34,900 --> 00:20:41,540
+معايا اضع القلم اركز معايا اضع القلم قلتلك ال
+
+202
+00:20:41,540 --> 00:20:46,510
+permutation اي permutation في الدنياباجي بكتبها
+
+203
+00:20:46,510 --> 00:20:49,770
+على شكل two cycles يعني لو الالفة عبارة عن ال a
+
+204
+00:20:49,770 --> 00:21:01,950
+واحد اتنين لعند ال an هد تكتب زي هيك الأول
+
+205
+00:21:01,950 --> 00:21:05,690
+مع الأخر، ما جابلي الأخر، قبل قبل الأخر، لعند
+
+206
+00:21:05,690 --> 00:21:13,010
+التاني هجت هد لو عددهم زودي،
+
+207
+00:21:13,010 --> 00:21:20,760
+بنقول عنهاشلو عددهم فردي نقول
+
+208
+00:21:20,760 --> 00:21:27,520
+الـ alpha is good حاجة ال AN بياخد كل ال alpha في
+
+209
+00:21:27,520 --> 00:21:33,660
+SN حيث ال alpha is even و هذه أثبتنا إنها group و
+
+210
+00:21:33,660 --> 00:21:39,940
+ال order ل AN بيساوي N factorial على 2 أخر نظرية
+
+211
+00:21:39,940 --> 00:21:46,660
+في الشبطةهجيت المطلوب مني في ال A6 أشوف أيش ال
+
+212
+00:21:46,660 --> 00:21:51,680
+orders للعناصر تبع ال A6 هجيت لما أنا حسبت ال A6
+
+213
+00:21:51,680 --> 00:21:56,040
+أيش احتمالات ال order؟ واحد اتنين تلاتة اربعة خمسة
+
+214
+00:21:56,040 --> 00:22:01,420
+ستة لما بنتقل على ال A6 بنشوف مين من هذه ال orders
+
+215
+00:22:01,420 --> 00:22:06,450
+موجودين في ال A6عشان يكون ال order موجود ك order
+
+216
+00:22:06,450 --> 00:22:10,890
+لعنصر في ال a6 لازم اوجد عنصر يكون زوجي وال order
+
+217
+00:22:10,890 --> 00:22:15,090
+له حسب الرقم اللي اللي بدشر عليه لو بدأت برقم واحد
+
+218
+00:22:15,090 --> 00:22:20,130
+ال identity permutation زوجية identity تكتب بهذا
+
+219
+00:22:20,130 --> 00:22:29,570
+الشكل واحد اتنين اتنين واحد هذه زوجية ف ال
+
+220
+00:22:29,570 --> 00:22:34,820
+identity even يجب ان ال order واحد شمالهموجود هجت
+
+221
+00:22:34,820 --> 00:22:38,820
+نيجي على ال order اتنين عشان اتكلم عن order اتنين
+
+222
+00:22:38,820 --> 00:22:43,040
+بدي permutation ال order اللي لها اتنين و تكون
+
+223
+00:22:43,040 --> 00:22:46,040
+even هد ال order اللي لها اتنين ال least common
+
+224
+00:22:46,040 --> 00:22:49,460
+multiple اللي لها اتنين و اتنين مش بيساوي اتنين هل
+
+225
+00:22:49,460 --> 00:22:55,700
+هي even نعم even هكم جوز من ال two cycle موجود؟
+
+226
+00:22:55,700 --> 00:23:01,560
+جوزين يجب ال order اتنين شماله موجود ك order لعنصر
+
+227
+00:23:01,560 --> 00:23:07,060
+في ال a6الأردر تلاتة هذه ال permutation واحد اتنين
+
+228
+00:23:07,060 --> 00:23:12,400
+تلاتة ال order لا يجديش تلاتة ال order تلاتة وهي
+
+229
+00:23:12,400 --> 00:23:17,000
+permutation زوجية ليش؟ واحد مع تلاتة واحد مع اتنين
+
+230
+00:23:17,000 --> 00:23:22,180
+اكم جوس اتنين زوجي يعني بهذه ال permutation زوجية
+
+231
+00:23:22,180 --> 00:23:25,800
+وال order ال ..ما بيخسنيش انا هنا يكون .. هدول
+
+232
+00:23:25,800 --> 00:23:30,390
+اكيد مش disjointهدول أكيد .. شوف ال disjoint مهمني
+
+233
+00:23:30,390 --> 00:23:34,570
+عند الضرب عند حساب ال inverse عند حساب الطول لكن
+
+234
+00:23:34,570 --> 00:23:38,830
+لما أنا بدي أجي أتكلم عن even أو odd بتكلمش على
+
+235
+00:23:38,830 --> 00:23:45,480
+disjoint هنا واضح؟ طيبخلصها ال order تلاتة ال
+
+236
+00:23:45,480 --> 00:23:50,800
+order أربعة ال order أربعة هذا العنصر 1234 مش في
+
+237
+00:23:50,800 --> 00:23:58,520
+ال a6 ليش لما أنا بفرغ ل two cycle 141312
+
+238
+00:23:58,520 --> 00:24:03,560
+كدهش العدد هنا تلاتة هذا ليه يعني انه نجح في عناصر
+
+239
+00:24:03,560 --> 00:24:08,050
+تانية ال order لها أربعة من هذا الشكلهذا لو فررتك
+
+240
+00:24:08,050 --> 00:24:12,610
+two cycles واحد اتنين تلاتة اربع كام two cycle
+
+241
+00:24:12,610 --> 00:24:17,930
+عندك اربع زوجي ولا فردي زوجي ايه بقى هذه ال
+
+242
+00:24:17,930 --> 00:24:23,570
+permutation زوجية ال order اللي هجداش اربع ايه بقى
+
+243
+00:24:23,570 --> 00:24:27,790
+ال order اربع موجود في asset ولا لأ موجود نجي لل
+
+244
+00:24:27,790 --> 00:24:28,690
+order خمسة
+
+245
+00:24:35,360 --> 00:24:44,320
+هذا البرموتيشن 1 2 3 4 5 .. 1 5 .. 1 4 .. 1 2 .. 1
+
+246
+00:24:44,320 --> 00:24:48,940
+3 1 2 .. موجودة في
+
+247
+00:24:48,940 --> 00:24:55,840
+A6 .. لماذا؟ .. 1 2 3 4 .. هكم two cycle عندك؟
+
+248
+00:24:55,840 --> 00:25:00,100
+اربعة two cycles .. هذا البرموتيشن even ولا odd ..
+
+249
+00:25:00,100 --> 00:25:01,520
+even قداش طولها؟
+
+250
+00:25:13,790 --> 00:25:19,010
+عشان يكون عندك انصر ال order له 6 في A6 يا اما
+
+251
+00:25:19,010 --> 00:25:25,510
+هياخد الخيار هذا وبالتالي
+
+252
+00:25:25,510 --> 00:25:26,530
+لما تيجي تكتبه
+
+253
+00:25:33,580 --> 00:25:40,420
+كداش عددهم هدول؟ هدى لا ينتمي لإيه ستة؟ ليش؟ لأنه
+
+254
+00:25:40,420 --> 00:25:52,100
+فردي أو الشكل هدى العناصر
+
+255
+00:25:52,100 --> 00:25:58,000
+لل order إلى ستة في إيه ستة؟ يا cycles طولة ستة يا
+
+256
+00:25:58,000 --> 00:26:03,750
+two cycles واحدة تلاتة والتانية اتنين طبعا كملA1,
+
+257
+00:26:03,970 --> 00:26:14,290
+A3, A1, A2, A4, A5 هل هذا ينتمي إلى A6؟ لأ لا
+
+258
+00:26:14,290 --> 00:26:20,310
+ينتمي إلى A6 هل ال order 6 موجود؟ ال order 6 does
+
+259
+00:26:20,310 --> 00:26:36,770
+not exist ال orders in A61 و2 و3 و4 و5 هذه
+
+260
+00:26:36,770 --> 00:26:43,050
+احتمالات ال orders لعناصر ال a6 طبعا لو انا بشغل
+
+261
+00:26:43,050 --> 00:26:50,110
+في a7 نفس الأسلوب استعمله لكن القيم قد تكون مختلفة
+
+262
+00:26:50,110 --> 00:26:56,890
+يعني في a7 ممكن اجد ال order 6 لأ
+
+263
+00:26:56,890 --> 00:27:03,870
+هاجي ال order 7في A7 هلاجي ال order واحد هلاجي ال
+
+264
+00:27:03,870 --> 00:27:08,610
+order اتنين في ال A7 ال order واحد ال order اتنين
+
+265
+00:27:08,610 --> 00:27:12,330
+ال order تلاتة ال order اربعة ال order خمسة و ال
+
+266
+00:27:12,330 --> 00:27:21,990
+order ستة و ال order سبعة و ال order عشرة لأ ال
+
+267
+00:27:21,990 --> 00:27:24,530
+order اتناشر على الأرجح لأ برضه
+
+268
+00:27:27,840 --> 00:27:31,080
+ما هو ال .. السبعة في ال order واحد و اتنين و
+
+269
+00:27:31,080 --> 00:27:34,560
+تلاتة و أربعة و خمسة و ستة و سبعة و عشرة و اتنين و
+
+270
+00:27:34,560 --> 00:27:35,520
+أتنين و أتنين و أتنين و أتنين و أتنين و أتنين و
+
+271
+00:27:35,520 --> 00:27:38,100
+أتنين و أتنين و أتنين و أتنين و أتنين و أتنين و
+
+272
+00:27:38,100 --> 00:27:41,440
+أتنين و أتنين و أتنين و أتنين و أتنين و أتنين و
+
+273
+00:27:41,440 --> 00:27:41,960
+أتنين و أتنين و أتنين و أتنين و أتنين و أتنين و
+
+274
+00:27:41,960 --> 00:27:44,560
+أتنين و أتنين و أتنين و أتنين و أتنين و أتنين و
+
+275
+00:27:44,560 --> 00:27:47,980
+أتنين
+
+276
+00:27:47,980 --> 00:27:57,490
+و أتنين و أتنين و أتنين و أتنين وماواش احتمالات ال
+
+277
+00:27:57,490 --> 00:28:01,150
+order اتنين في A6 يا cycle واحدة طول .. يا cycle
+
+278
+00:28:01,150 --> 00:28:06,450
+واحدة طولها اتنين زي هيك خلينا نكتبها هان اواحد
+
+279
+00:28:06,450 --> 00:28:13,830
+اتنين يا اواحد اتنين اتلاتة ااربعة يا اواحد اتنين
+
+280
+00:28:13,830 --> 00:28:21,190
+اتلاتة ااربعة اخمسة استة هذه احتمالات العناصر لل
+
+281
+00:28:21,190 --> 00:28:25,850
+order الاتنين في A6 هذا فردي وهذا فردي بس هذا زوجي
+
+282
+00:28:28,170 --> 00:28:40,110
+هذا فردي وهذا فردي لكن هذا ايه؟ زوجي طيب
+
+283
+00:28:40,110 --> 00:28:44,290
+what about ايه سبعة؟ جاوبناها واحد اتنين تلاتة
+
+284
+00:28:44,290 --> 00:28:48,570
+اربعة خمسة ستة سبعة عشرة لأ هجيت ال order اتناشر
+
+285
+00:28:48,570 --> 00:28:55,430
+بيحصل زي هيك يعني عنصر زي هيك هذا فردي لا ينتمي
+
+286
+00:28:55,430 --> 00:29:00,220
+لأي سبعةيكبر فقط ال orders هدول واحد و اتنين و
+
+287
+00:29:00,220 --> 00:29:07,520
+تلاتة اربع و خمسة و ستة و سبعة what
+
+288
+00:29:07,520 --> 00:29:12,660
+is the maximum order of any element in A عشرة ايش
+
+289
+00:29:12,660 --> 00:29:19,500
+اكبر least common multiple ممكن احصله من ارقام
+
+290
+00:29:19,500 --> 00:29:25,560
+مجموعة عشرة او المجموعة الاكبر تبع عشرة تعالى نجرب
+
+291
+00:29:26,540 --> 00:29:31,460
+في A10 انا لو اخدت .. طبعا انا حاول اخد رقم ..
+
+292
+00:29:31,460 --> 00:29:37,480
+عشان انت تزيد ال least common multiple خد ارقام
+
+293
+00:29:37,480 --> 00:29:42,480
+كبار شوية فلو اخدت انت الأربعة مع الستة كداش؟
+
+294
+00:29:42,480 --> 00:29:48,500
+اتناش التلاتة مع السبعة واحد وعشرين الخمسة مع
+
+295
+00:29:48,500 --> 00:29:57,010
+الخمسة least common multiple خمسةطيب التنين مع
+
+296
+00:29:57,010 --> 00:30:01,650
+التمانية تمانية الواحد مع التسعة تسعة طيب في
+
+297
+00:30:01,650 --> 00:30:16,950
+احتمالات تانية في احتمالات تانية اتنين
+
+298
+00:30:16,950 --> 00:30:19,930
+مع التلاتة مع خمسة ايش ال least common multiple
+
+299
+00:30:23,460 --> 00:30:33,740
+جديش؟ اعلى order في ال S عشرة تلاتين هل هذا العنصر
+
+300
+00:30:33,740 --> 00:30:40,860
+موجود في اي عشرة؟ لأ، هذا فردي طيب، لو شن هذا
+
+301
+00:30:40,860 --> 00:30:46,700
+بيصير زوجي، هو بحصل على مين؟ على خمس عشر طبعا، هذا
+
+302
+00:30:46,700 --> 00:30:53,470
+طول فردي، وفردي مع بعض بيطلع زوجيهنا زوجي مع زوجي
+
+303
+00:30:53,470 --> 00:30:57,470
+هيطلع الجواب جديش واحد و عشرين لإنه هاخد عنصر زي
+
+304
+00:30:57,470 --> 00:31:05,870
+هيك يعني هزود واحد اتنين تلاتة اربعة خمسة ستة سبعة
+
+305
+00:31:05,870 --> 00:31:12,900
+تمانية تسعة عشرة هذا عنصر ال order إله جديش21 هو
+
+306
+00:31:12,900 --> 00:31:24,660
+even لأن هذا بنكتب 1 3 1 2 4 10 4 9 4 8 4 7 4 6 4
+
+307
+00:31:24,660 --> 00:31:32,440
+5 1 2 3 4 5 6 7 8 و هذا الانصر زوجي ينتمي ل a 10 و
+
+308
+00:31:32,440 --> 00:31:38,020
+ال order ال 21 نجونا اللي بعد ال 21 30 مابكونش
+
+309
+00:31:38,020 --> 00:31:45,090
+زوجي يكبر مين الأقل منهواحد عشري طيب الtermine
+
+310
+00:31:45,090 --> 00:31:47,450
+whether the following permutation are even or odd
+
+311
+00:31:47,450 --> 00:31:59,850
+هذه واحد خمسة سؤال تسعة even ولا odd طبعا هذا واحد
+
+312
+00:31:59,850 --> 00:32:06,590
+خمسة واحد تلاتة زوجي ولا فردي زوجي واحد تلاتة خمسة
+
+313
+00:32:06,590 --> 00:32:09,990
+ستة واحد ستة واحد خمسة واحد تلاتة
+
+314
+00:32:13,620 --> 00:32:18,320
+لو طول فردي فهي زوجية لو طول زوجي فهي فردية بس لو
+
+315
+00:32:18,320 --> 00:32:25,380
+كانوا زي هيك هذا بدك تروح تعمل زي مين و تعد طبعا
+
+316
+00:32:25,380 --> 00:32:34,240
+هذا even هذا odd even odd even even odd ده تنعمل
+
+317
+00:32:34,240 --> 00:32:45,050
+زي هيك واحد اتنينواحد أربعة وواحد تلاتة وواحد
+
+318
+00:32:45,050 --> 00:32:54,870
+اتنين وواحد خمسة كماش عددهم هدول خمسة كيف عملتم
+
+319
+00:32:54,870 --> 00:32:59,530
+على طول اد اد اد اد اد اد اد اد اد اد اد اد اد اد
+
+320
+00:32:59,530 --> 00:32:59,670
+اد اد اد اد اد اد اد اد اد اد اد اد اد اد اد اد اد
+
+321
+00:32:59,670 --> 00:32:59,830
+اد اد اد اد اد اد اد اد اد اد اد اد اد اد اد اد اد
+
+322
+00:32:59,830 --> 00:32:59,830
+اد اد اد اد اد اد اد اد اد اد اد اد اد اد اد اد اد
+
+323
+00:32:59,830 --> 00:32:59,850
+اد اد اد اد اد اد اد اد اد اد اد اد اد اد اد اد اد
+
+324
+00:32:59,850 --> 00:33:04,130
+اد اد اد اد اد
+
+325
+00:33:04,130 --> 00:33:09,830
+ادطبعا في تكملة للسؤال هو ايه؟ المحاضرة القادمة ان
+
+326
+00:33:09,830 --> 00:33:15,230
+شاء الله ساسمعيه بكملكوا بدءا السؤال عشرة يعطيكوا
+
+327
+00:33:15,230 --> 00:33:15,590
+العافية
+
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/oqLU1qa1owQ_raw.srt b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/oqLU1qa1owQ_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..d2d1becfd01a221ee937e260466e222e0967885e
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/oqLU1qa1owQ_raw.srt
@@ -0,0 +1,2140 @@
+1
+00:00:20,690 --> 00:00:26,090
+بسم الله الرحمن الرحيم نرجع ثانية إلى المحاضرة
+
+2
+00:00:26,090 --> 00:00:32,020
+الماضية و نكمل ما ابتدأنا به المرة الماضيةأخر حاجة
+
+3
+00:00:32,020 --> 00:00:36,520
+أعطناها المرة الماضية كان تعريف الـcentralizer لـ
+
+4
+00:00:36,520 --> 00:00:40,900
+element موجود في الـ group وعرفنا الـ centralizer
+
+5
+00:00:40,900 --> 00:00:44,960
+لـ element A الموجود في الـ group على إن كل الـ G
+
+6
+00:00:44,960 --> 00:00:50,620
+اللي موجودة في G بحيث GA يساوي AG مكتوب معاكم
+
+7
+00:00:50,620 --> 00:00:54,240
+المرة الماضية مش الجديد وحتى نص النظرية مكتوب
+
+8
+00:00:54,240 --> 00:00:57,380
+معاكم المرة الماضية يبقى حابيت أذكر لإنه بدنا نروح
+
+9
+00:00:57,380 --> 00:01:02,530
+نبرهن النظريةالنظرية بدنا نبرهن و نتابعها للمرة
+
+10
+00:01:02,530 --> 00:01:09,130
+القادمة يبقى الـcentralizer لـA هو كل العناصر اللي
+
+11
+00:01:09,130 --> 00:01:14,670
+موجودة في G و اللي بتبقى commutes مع A كل الـG
+
+12
+00:01:14,670 --> 00:01:20,320
+اللي موجودة في G بيعني الـG of A يساوي الـAGالان
+
+13
+00:01:20,320 --> 00:01:24,780
+بنا نثبت تبقى لهذه النظرية لو خت element A موجود
+
+14
+00:01:24,780 --> 00:01:29,300
+في ال group G بدي ال centralizer ل A يبقى بدي أثبت
+
+15
+00:01:29,300 --> 00:01:35,570
+ان ال centralizer ل A is a subgroup of G يعنيبدي
+
+16
+00:01:35,570 --> 00:01:39,430
+أحاول أثبت النقطتين تبعات الـ subgroup تبعات أول
+
+17
+00:01:39,430 --> 00:01:44,190
+نظرية وهو إن الـ centralizer لا A is non-empty
+
+18
+00:01:44,190 --> 00:01:48,130
+اتنين لو أخدت two elements في ال centralizer بدي
+
+19
+00:01:48,130 --> 00:01:51,970
+أحاول أثبت أن الأول في معكوس الثاني موجود في ال
+
+20
+00:01:51,970 --> 00:01:55,830
+centralizer لا A وبالتالي بيصبح ال centralizer لا
+
+21
+00:01:55,830 --> 00:02:02,500
+A is a subgroup of Gيبقى بيني ان انا اجي ال proof
+
+22
+00:02:02,500 --> 00:02:07,000
+اللي موجودة عندنا يبقى النقطة الأولى بدي اقوله ال
+
+23
+00:02:07,000 --> 00:02:14,400
+centralizer لإيه is non-empty non-empty ليش لإن
+
+24
+00:02:14,400 --> 00:02:19,940
+انا بدي احاول اجيبه ولو اللي هو element واحد موجود
+
+25
+00:02:19,940 --> 00:02:24,320
+في ال centralizer لإيه مشان ادلل على هذا الكلام
+
+26
+00:02:24,320 --> 00:02:28,800
+اللي عندي يبقى ال centralizer لإيه is non-empty
+
+27
+00:02:28,800 --> 00:02:37,700
+senseالـ E موجود في الـ centralizer لـ A شو السبب؟
+
+28
+00:02:37,700 --> 00:02:45,040
+because ان الـ E A بدر يساوي الـ A في الـ E ال
+
+29
+00:02:45,040 --> 00:02:49,380
+identity element لو ضربناه في أي element يبقى من
+
+30
+00:02:49,380 --> 00:02:52,680
+اليمين او من الشمال بطلع نفس ال element اللي هو
+
+31
+00:02:52,680 --> 00:02:56,540
+الـ A يبقى الـ E صارت موجودة في ال centralizer لـ
+
+32
+00:02:56,540 --> 00:03:00,120
+A يبقى ال centralizer لـ A is non-empty
+
+33
+00:03:04,840 --> 00:03:10,660
+عنصرين XY موجودة في الـ Centralizer لـ A
+
+34
+00:03:29,260 --> 00:03:34,560
+إذا بدي أحاول أستخدم خاصية الـcentralizer اللي ايه
+
+35
+00:03:34,560 --> 00:03:39,980
+اللي فوق لمين الـtwo elements x و y يبقى بناء عليه
+
+36
+00:03:39,980 --> 00:03:46,980
+بدي يصير x a بدي يساوي ax and اللي هو y a بدي
+
+37
+00:03:46,980 --> 00:03:52,800
+يساوي ay طبق اللي تعرف من الـcentralizer لإن أخد
+
+38
+00:03:52,800 --> 00:03:57,350
+two elements موجودات في الـcentralizerهذا هارجعله
+
+39
+00:03:57,350 --> 00:04:03,970
+بعد قليل هذا هحاول أستفيد منه مشان أستفيد منه بدي
+
+40
+00:04:03,970 --> 00:04:10,110
+أروح أضرب في A inverse من جهة الشمال و كذلك من جهة
+
+41
+00:04:10,110 --> 00:04:14,630
+اليمين إذا لو ضربنا من جهة الشمال في A inverse
+
+42
+00:04:14,630 --> 00:04:23,570
+بيصير عند A inverse YA بده يساوي Yماذا فعلت؟ ضربت
+
+43
+00:04:23,570 --> 00:04:29,350
+من جهة الشمال في مين في A inverse الان بادرح اضرب
+
+44
+00:04:29,350 --> 00:04:33,950
+في جهة اليامين برضه في ال A inverse مش الدرب
+
+45
+00:04:33,950 --> 00:04:36,950
+العادى اللى احنا عارفينه لما اقول اضرب يعني بدي
+
+46
+00:04:36,950 --> 00:04:40,870
+اطبق ال binary operation اللى موجودة على جهة ضرب
+
+47
+00:04:40,870 --> 00:04:45,580
+جمع الجسم المهم ال operation اللى موجودةيبقى هذا
+
+48
+00:04:45,580 --> 00:04:52,720
+بده يعطينا انه a inverse y يساوي y a inverse ضربنا
+
+49
+00:04:52,720 --> 00:04:57,680
+من جهة اليمين في مين في ال a inverse بصير عندي a a
+
+50
+00:04:57,680 --> 00:05:01,520
+inverse اللي هو بال identity بضلش الا ال element
+
+51
+00:05:01,520 --> 00:05:06,800
+هذا يبقى a inverse y بده يساوي y inverse ايش
+
+52
+00:05:06,800 --> 00:05:12,940
+تفسيركوا للعبارة الأخيرة اللي وصلنا لها ديلأ مش
+
+53
+00:05:12,940 --> 00:05:16,360
+هذا اللي بدنا نقوله لأ احنا أخدنا y في ال
+
+54
+00:05:16,360 --> 00:05:23,760
+centralizer ل a يعني طلع a y يسوى y a وصلنا إلى a
+
+55
+00:05:23,760 --> 00:05:30,500
+inverse y يسوى y a inverse يبقى ال y موجود في ال
+
+56
+00:05:30,500 --> 00:05:35,630
+centralizer ل a inverseيبقى بناء عليه لو كان الـ
+
+57
+00:05:35,630 --> 00:05:39,750
+Element موجود في الـ Centralizer لـ A هذا الـ
+
+58
+00:05:39,750 --> 00:05:44,470
+Element لازم يكون موجود في الـ Centralizer لمعكوس
+
+59
+00:05:44,470 --> 00:05:45,210
+الـ A
+
+60
+00:05:50,200 --> 00:05:54,980
+Y هذه I الموجودة في الـ Centralizer لـ A هذا معناه
+
+61
+00:05:54,980 --> 00:06:01,420
+أن Y موجودة في الـ Centralizer لـ A وبالتالي يصبح
+
+62
+00:06:01,420 --> 00:06:05,160
+الـ Centralizer لـ A الـ subset من الـ Centralizer
+
+63
+00:06:05,160 --> 00:06:08,560
+لـ A inverse دعوني أخبرك أن هناك سؤال في الكتاب
+
+64
+00:06:08,560 --> 00:06:11,580
+يقول أثبت أن الـ Centralizer لـ A
+
+65
+00:06:15,290 --> 00:06:20,370
+يبقى هذا نص البرهان والاتجاه التاني هو النص الثاني
+
+66
+00:06:20,370 --> 00:06:25,370
+لما نيجي لسؤال رقم عشرين او ما بعرف جد ايش المهم
+
+67
+00:06:26,570 --> 00:06:31,130
+يبقى تفسيرنا لهذه العبارة أنه إذا كان ال element
+
+68
+00:06:31,130 --> 00:06:36,890
+موجود في ال centralizer لإيه فإن هذا ال element
+
+69
+00:06:36,890 --> 00:06:41,930
+يكون موجود في ال centralizer لإيه inverse مجرد
+
+70
+00:06:41,930 --> 00:06:47,850
+استنتاج استنتجناه الآن بس مجرد إشارة شرط له لكن
+
+71
+00:06:47,850 --> 00:06:52,270
+لازم هنا مش لازم للكلام اللي أنا بقوله طيب انا ليش
+
+72
+00:06:52,270 --> 00:06:58,490
+اللي بدياه بدي ادي اخد الآناللي هو مين بده ياخد
+
+73
+00:06:58,490 --> 00:07:09,150
+الـ X Y inverse في مين؟ في الـ Aإذا قدرت أثبت أن
+
+74
+00:07:09,150 --> 00:07:14,770
+هذا يسوي الـA في الـXY inverse بتم المطلوب لأنه
+
+75
+00:07:14,770 --> 00:07:20,850
+بيصير الأول في معكوس الثاني إذا قدرت أثبت أن الـXY
+
+76
+00:07:20,850 --> 00:07:25,290
+inverse A يسوي الـA XY inverse بيصير ال element XY
+
+77
+00:07:25,290 --> 00:07:28,750
+inverse موجود في الـcentralizer لـA وبالتالي
+
+78
+00:07:28,750 --> 00:07:34,760
+الـcentralizer لـA بيصير subgroup طيب ممتاز جداأيش
+
+79
+00:07:34,760 --> 00:07:42,160
+رايك هذي بقدر اكتبها x y inverse a inverse inverse
+
+80
+00:07:42,160 --> 00:07:48,680
+خدناها قبل ذلك وبرهناهاطب ايش رأيك في الـ two
+
+81
+00:07:48,680 --> 00:07:54,860
+elements دول بدي اجمعهم ب inverse واحد بدي اخلّيهم
+
+82
+00:07:54,860 --> 00:07:58,460
+بدل ما في inverse و inverse بدي اخلّيهم inverse
+
+83
+00:07:58,460 --> 00:08:03,620
+واحد يبقى حسب معلوماتنا في الشبتر الماضي هذا بدي
+
+84
+00:08:03,620 --> 00:08:10,040
+يصير مين؟ بدي يصير a inverse while كل inverse
+
+85
+00:08:10,040 --> 00:08:18,170
+مظبوط؟طيب لكن ايش عندنا هنا احنا a inverse y هو
+
+86
+00:08:18,170 --> 00:08:22,750
+بواي a inverse يبقى بقدر اشيل a inverse y و احط
+
+87
+00:08:22,750 --> 00:08:28,230
+بدالها مين سميلي هذا على النقطة رقم واحد عشان
+
+88
+00:08:28,230 --> 00:08:34,870
+نستفيد منها يبقى هذا الكلام بده يساوي x y a
+
+89
+00:08:34,870 --> 00:08:42,400
+inverse لكل inverse هذا من وين from oneمن العلاقة
+
+90
+00:08:42,400 --> 00:08:48,670
+الأولى اللى عندناطيب ممتاز بدى افك ال inverse هذا
+
+91
+00:08:48,670 --> 00:08:54,110
+مرة تانية يبقى هذا ايش بيعطينا هذا بيعطينا هاي ال
+
+92
+00:08:54,110 --> 00:08:59,670
+X اللي برا وهذا بيعطينا A inverse inverse Y
+
+93
+00:08:59,670 --> 00:09:06,110
+inverse هذا بدي يعطينا X A Y inverse الشكل اللي
+
+94
+00:09:06,110 --> 00:09:11,870
+عندنا هنا لكن في معلومة حتى الآن لم نستفد منها شيء
+
+95
+00:09:11,870 --> 00:09:16,850
+المعلومة اللي هي المعلومة اللي عندنا هذهإن الـ X
+
+96
+00:09:16,850 --> 00:09:21,190
+موجود في الـ Centralizer لـ A مدام الـ X موجود
+
+97
+00:09:21,190 --> 00:09:26,310
+يبقى الـ X A بده يساوي A X إذا بنقدر نبدل الأثنين
+
+98
+00:09:26,310 --> 00:09:33,150
+هذول مكان بعض يبقى هذا الكلام بده يساوي A X Y
+
+99
+00:09:33,150 --> 00:09:38,670
+inverse ليش هذا الكلام؟ since ال X موجود في ال
+
+100
+00:09:38,670 --> 00:09:50,240
+Centralizer ل Aهذا الكلام سيصبح A X Y Inverseيبقى
+
+101
+00:09:50,240 --> 00:09:56,740
+انا بدأت هنا بال X Y inverse في A لقيته يسوى ال A
+
+102
+00:09:56,740 --> 00:10:01,400
+في ال X Y inverse ايش معنى هذا الكلام ان ال X Y
+
+103
+00:10:01,400 --> 00:10:06,400
+inverse موجود في ال centralizer ل A يبقى بدي بقوله
+
+104
+00:10:06,400 --> 00:10:13,440
+Sir ال X Y inverse belongs لل centralizer ل A يبقى
+
+105
+00:10:13,440 --> 00:10:17,940
+تحقق ال condition الأول تحقق ال condition التاني
+
+106
+00:10:17,940 --> 00:10:18,460
+by
+
+107
+00:10:25,940 --> 00:10:33,000
+بنظرية سابقة الـ Centralizer لـ A is a subgroup من
+
+108
+00:10:33,000 --> 00:10:40,310
+G وهو المطلوبيبقى الآن اثبتنا ان الـcentre للجروب
+
+109
+00:10:40,310 --> 00:10:45,590
+هو الـsubgroup واثبتنا الـcentralizer لأي element
+
+110
+00:10:45,590 --> 00:10:50,930
+كذلك هو subgroup من مين من الجروب الأساسية لحد هنا
+
+111
+00:10:50,930 --> 00:10:55,910
+stop انتهى الجزء النظري تبع ال section ننتقل الآن
+
+112
+00:10:55,910 --> 00:11:00,210
+إلى الأسئلة والمرة اللى فاتت اعطيتكوا أرقام
+
+113
+00:11:00,210 --> 00:11:01,330
+المسائل مش هيك
+
+114
+00:11:09,830 --> 00:11:16,450
+طبعا كان مطلوب من ضمن الأسئلة اول سؤال بيقول هاتلي
+
+115
+00:11:16,450 --> 00:11:21,330
+ال order لل group و ال order لكل element موجود في
+
+116
+00:11:21,330 --> 00:11:26,090
+ال group و ما شاء الله عليهم يعطينا خمس groups لكن
+
+117
+00:11:26,090 --> 00:11:29,930
+اول تنتهي انزلت اتناشوي و عشر هذه المحلولات معاك
+
+118
+00:11:29,930 --> 00:11:35,300
+كامثلةيبقى احنا ممكن نتعرض واحدة من ال TNT اللي هي
+
+119
+00:11:35,300 --> 00:11:39,860
+واطماشي ويه عشرين واحدة منهم اللي بدك إياها و دي
+
+120
+00:11:39,860 --> 00:11:47,860
+فار معانا مشكلة فيها يه عشرين يه عشرين يا سيني
+
+121
+00:11:47,860 --> 00:11:51,440
+يبقى
+
+122
+00:11:51,440 --> 00:11:57,340
+السؤال الأول يه عشرين من اللي قال بديه عشرين فيكون
+
+123
+00:11:57,340 --> 00:12:07,730
+شوفأنت طب اعطيني العناصر تبعك واحد ثلاثة سبعة تسعة
+
+124
+00:12:07,730 --> 00:12:09,090
+اتناشر
+
+125
+00:12:11,330 --> 00:12:17,290
+أربعة تاش، خمس تاش، ستة تاش، سبعة تاش، تمانتاش،
+
+126
+00:12:17,290 --> 00:12:22,150
+تسعة تاش الان واحد، اتنين، تلاتة، اربعة، خمسة،
+
+127
+00:12:22,150 --> 00:12:27,450
+ستة، سبعة، تمانية يبقى المطلوب الأول ال order ليه
+
+128
+00:12:27,450 --> 00:12:34,030
+عشرين هو قداش تمانية الان بدك ال order لكل element
+
+129
+00:12:34,030 --> 00:12:38,960
+موجود في ال groupعشان اقول ال order للواحد كده؟
+
+130
+00:12:38,960 --> 00:12:44,180
+واحد لإنه ال identity element بعدين اريد ال order
+
+131
+00:12:44,180 --> 00:12:48,440
+لثلاثة كده؟ كده؟ كده؟ كده؟ كده؟ كده؟ كده؟ كده؟
+
+132
+00:12:48,440 --> 00:12:48,680
+كده؟ كده؟ كده؟ كده؟ كده؟ كده؟ كده؟ كده؟ كده؟ كده؟
+
+133
+00:12:48,680 --> 00:12:53,360
+كده؟ كده؟ كده؟ كده؟ كده؟ كده؟ كده؟ كده؟ كده؟ كده؟
+
+134
+00:12:53,360 --> 00:12:53,360
+كده؟ كده؟ كده؟ كده؟ كده؟ كده؟ كده؟ كده؟ كده؟ كده؟
+
+135
+00:12:53,360 --> 00:12:56,830
+كده؟ كده؟ كده؟ كده؟ كده؟ كده؟ كده؟ كده؟ كده؟تلاتة
+
+136
+00:12:56,830 --> 00:13:04,010
+تربيع بتسعة موجود تلاتة في سبعة تلاتة اقصد تلاتة
+
+137
+00:13:04,010 --> 00:13:09,530
+تربيع تلاتة تكيب سبعة وعشرين شيل منهم بيضل قداش
+
+138
+00:13:09,530 --> 00:13:16,250
+سبعة في تلاتة بواحدة وعشرين اللي هو ال identity
+
+139
+00:13:16,250 --> 00:13:22,190
+يبقى قداش الأرض لتلاتة أربعة يبقى هذا الكلام طب
+
+140
+00:13:22,190 --> 00:13:23,770
+مين معكوس التلاتة؟
+
+141
+00:13:26,720 --> 00:13:31,080
+تلاتة بيبقى معكوسة من اللي لو ضربت فيها بطلع ال
+
+142
+00:13:31,080 --> 00:13:37,260
+identity يبقى ال order لسبعة كمان أربعة يبقى يساوي
+
+143
+00:13:37,260 --> 00:13:42,380
+ال order لسبعة اللي هو مين اللي هو أربعة طيب تعالى
+
+144
+00:13:42,380 --> 00:13:52,480
+تسعة قداش ال order إلها اتنين تلاتة اختلفت
+
+145
+00:13:52,480 --> 00:13:57,120
+الروايات هو تسعة في تسعة بقداشواقع تمانين شيل اربع
+
+146
+00:13:57,120 --> 00:14:03,180
+عشرينات بظل واحد يبقى ال order ل ستة اتنين يبقى ال
+
+147
+00:14:03,180 --> 00:14:08,680
+order لتسعة يساوي اتنين مين معكوس التسعة تسعة
+
+148
+00:14:08,680 --> 00:14:14,000
+نفسها صحيح يبقى خلاصنا بدي بعد هيك ال order لليحدى
+
+149
+00:14:14,000 --> 00:14:20,460
+هذا كمان يساوي ال order لليحدى عشان موافقين هيكمن
+
+150
+00:14:20,460 --> 00:14:25,480
+11 فى 11 مية واحد وعشرين شيل ست عشرينات بظل واحد
+
+151
+00:14:25,480 --> 00:14:31,960
+ال identity يبقى ال order الى يساوى اتنين التلتاشر
+
+152
+00:14:31,960 --> 00:14:35,000
+اريحك
+
+153
+00:14:35,000 --> 00:14:42,060
+شوية التلتاشر modulo عشرين لو اضفتلها سالب عشرين
+
+154
+00:14:42,060 --> 00:14:47,360
+بطلع جداشر يعني كانوا زى الشغل تبع سالب سبعة تمام
+
+155
+00:14:47,360 --> 00:14:53,870
+اذالما أقوله تلتاشر ترابية كأنه سالب سبعة ترابية
+
+156
+00:14:53,870 --> 00:15:00,330
+سالب سبعة ترابية مجداش تسعة واربعين يعني تسعة تسعة
+
+157
+00:15:00,330 --> 00:15:05,850
+فيه سالب سبعة اللي هو بسالب تلاتة وستين بيظل سالب
+
+158
+00:15:05,850 --> 00:15:09,690
+تلاتة تسعة سبعة بسالب واحد وعشرين يبقى ال order
+
+159
+00:15:09,690 --> 00:15:15,970
+أربعة تمام؟ يبقى كمان هذا بده يساوي ال order
+
+160
+00:15:15,970 --> 00:15:18,030
+لتلتاشر
+
+161
+00:15:20,900 --> 00:15:27,320
+و بالمثل ال order ل 17 و 19 بنفس الطريقة و أسهل
+
+162
+00:15:27,320 --> 00:15:32,960
+بصير لأن ال 17 مرة عن سالف تلاتة تمام؟ يبقى ال
+
+163
+00:15:32,960 --> 00:15:40,380
+order احنا بقداش؟ باربعةيبقى كمان هذا بده يساوي ال
+
+164
+00:15:40,380 --> 00:15:47,520
+order ل 17 ال 19 عبارة عن ايه؟ سالب واحد يبقى ال
+
+165
+00:15:47,520 --> 00:15:53,180
+order لها بس اتنين يبقى هذا بده يساوي ال order ل
+
+166
+00:15:53,180 --> 00:15:57,900
+19 خلصنا ماشي؟
+
+167
+00:15:57,900 --> 00:16:01,980
+طيب هاي خلصنا بالنسبة لل group الأولى نيجي لل
+
+168
+00:16:01,980 --> 00:16:04,860
+group التانية اللي هو D4
+
+169
+00:16:07,490 --> 00:16:21,470
+D4 عناصرها اللي هي R0 وR90 وR180 وR270 وH وV وD
+
+170
+00:16:21,470 --> 00:16:30,730
+وD' طبعا كتبنالكوا قبل ذلك ان R أس 4 تساوي R270
+
+171
+00:16:30,730 --> 00:16:36,570
+تساوي ال identity يعني لو مسكنهم بالدور هذا بده
+
+172
+00:16:36,570 --> 00:16:43,850
+يعطيكإن ال order ل دي four بده يسوي تمانية هنا ال
+
+173
+00:16:43,850 --> 00:16:49,670
+order لل R note بده يسوي واحد ال order لل R تسعين
+
+174
+00:16:49,670 --> 00:16:56,250
+هو ال order لمعكوسة R ميتين وسبعين هو أربعة الباقي
+
+175
+00:16:56,250 --> 00:17:02,310
+ال order ل R مية و تمانين هو ال order لل H هو ال
+
+176
+00:17:02,310 --> 00:17:07,980
+order لل Vهو ال order لديه هو ال order لديه prime
+
+177
+00:17:07,980 --> 00:17:12,120
+هو اتنين مش هالول قولنا كل واحد تربية بيعطينا ال
+
+178
+00:17:12,120 --> 00:17:17,440
+identity إذا ال order لهم يساوي اتنين يبقى كلام
+
+179
+00:17:17,440 --> 00:17:22,400
+كتبناه معاك سابقا مجرد تحصيل حاصل هذا بالنسبة
+
+180
+00:17:22,400 --> 00:17:27,440
+للسؤال الأول بالنسبة للسؤال الرابع بقول prove that
+
+181
+00:17:27,440 --> 00:17:31,840
+in any group an element and its inverse have the
+
+182
+00:17:31,840 --> 00:17:33,260
+same order
+
+183
+00:17:36,320 --> 00:17:44,000
+يبقى السؤال الرابع بيقول لي show ان ال order لل A
+
+184
+00:17:44,000 --> 00:17:51,160
+هو ال order لل A inverse شايف السؤال هكذا؟ طيب،
+
+185
+00:17:51,160 --> 00:17:58,060
+الان بدي افترض ان هذا ال order له رقم و هذا رقم
+
+186
+00:17:58,060 --> 00:18:05,760
+تاني و احاول اثبت ان الرقمين متساويان، تمام؟ فمثلا
+
+187
+00:18:06,190 --> 00:18:13,150
+لو قلت let ال order لل A بده يسوي ال N and ال
+
+188
+00:18:13,150 --> 00:18:21,970
+order لل A inverse بده يسوي ال M شوف
+
+189
+00:18:21,970 --> 00:18:30,030
+يا سيدالان بدي اضافه لـ A itself بدي اضافه كأس ل M
+
+190
+00:18:30,030 --> 00:18:35,230
+او بدي اضافه M أس له و بدي اذهب لل A inverse و
+
+191
+00:18:35,230 --> 00:18:40,490
+اضافه هذا الأس N و اشوف اين اتوجه الدنيا اذا انا
+
+192
+00:18:40,490 --> 00:18:50,060
+لو بدأت ب A inverse اللي هو أس Nيبجى هذا إيش معناه
+
+193
+00:18:50,060 --> 00:18:59,080
+أنه a أُس minus ال n مظبوط طيب هذا معناه a n
+
+194
+00:18:59,080 --> 00:19:07,710
+inverse طيب ال a n بجد إيش؟الـ Identity مش الـ
+
+195
+00:19:07,710 --> 00:19:13,210
+Order لـ A بده يسوي N يعني أقل عدد صحيح موجب بحط
+
+196
+00:19:13,210 --> 00:19:18,630
+أصل A بيعطيني الـ Identity اللي هو مين؟ N يبقى هذا
+
+197
+00:19:18,630 --> 00:19:24,650
+الكلام بده يسوي E inverse اللي هو مين؟ الـ E إيش
+
+198
+00:19:24,650 --> 00:19:30,470
+تفسيرك لهذا الكلام؟ إن الـ Order للـ A inverse يا
+
+199
+00:19:30,470 --> 00:19:37,150
+إما N يا إما أقل من الـ Nصحيح ولا لا؟ ليش؟ لأن أنا
+
+200
+00:19:37,150 --> 00:19:42,370
+بعرفش إن هذا هو أصغر رقم ولا فيه أصغر منه أنا
+
+201
+00:19:42,370 --> 00:19:47,550
+مفترض إن ال order لهذا main اللي هو M يبقى هذا
+
+202
+00:19:47,550 --> 00:19:53,670
+معناه إن ال order لل A inverse أقل من أو يسوى ال N
+
+203
+00:19:53,670 --> 00:20:01,760
+قد يكون ال N و قد يكون أقل منهطيب ال order ل A
+
+204
+00:20:01,760 --> 00:20:08,440
+inverse N عيش فرضه M يبقى صار ال M أقل من أو يسوى
+
+205
+00:20:08,440 --> 00:20:15,560
+ال N و دي المعادلة رقم واحد طيب تعالى شوف للتجاه
+
+206
+00:20:15,560 --> 00:20:22,060
+الثاني يبقى لو جيت برضه أخد ال A أس M
+
+207
+00:20:25,070 --> 00:20:31,670
+يعني انا حطيت الاص تبع ال A inverse لل A وحطيت ال
+
+208
+00:20:31,670 --> 00:20:37,230
+order تبع ال A لل A inverse وشوف وين بدنا نوصل
+
+209
+00:20:37,230 --> 00:20:44,590
+يبقى هذا الكلام بقدر اقول A inverse inverse كله اص
+
+210
+00:20:44,590 --> 00:20:48,270
+M او
+
+211
+00:20:48,270 --> 00:21:03,060
+ان شئتم فقولوا A inverse لسالب Mاو يساوي a-m لل a
+
+212
+00:21:03,060 --> 00:21:06,960
+inverse او
+
+213
+00:21:06,960 --> 00:21:19,920
+بقدر اقول a m a m يبقى
+
+214
+00:21:19,920 --> 00:21:30,020
+هذه a-m inverseيبقى هذه a m و هنا inverse و هنا
+
+215
+00:21:30,020 --> 00:21:38,620
+inverse تمام ال a m مابجدهش عند هنا ال a a لأ a
+
+216
+00:21:38,620 --> 00:21:44,940
+inverse m هذه استنى شوية استنى شوية هذه بدي اخليها
+
+217
+00:21:44,940 --> 00:21:51,160
+a inverse و هنا m تمام
+
+218
+00:21:51,760 --> 00:21:57,440
+يبقى هذا اللي بين جثيني بقداش بال identity يبقى
+
+219
+00:21:57,440 --> 00:22:04,060
+هذا يعطيني E inverse اللي هو بال E يبقى A لما رفعت
+
+220
+00:22:04,060 --> 00:22:10,660
+لل أس M اعطتني العدد E يبقى هذا معناته ايش ان ال
+
+221
+00:22:10,660 --> 00:22:18,700
+order لل A أقل من أو يسوى ال M طيب ال order ل A
+
+222
+00:22:18,700 --> 00:22:25,970
+جداش Nيبقى الان أقل من او يساوي الام وهذه المعادلة
+
+223
+00:22:25,970 --> 00:22:32,050
+رقام اتنين نرجع لمبادئ الرياضيات لما أثبت أن هذا
+
+224
+00:22:32,050 --> 00:22:37,670
+أقل من هذا و المقلوب صحيح ان أقل من هذا يبقى
+
+225
+00:22:37,670 --> 00:22:43,090
+معاناة اتنين ماله ا equal يبقى هنا باجي بقوله from
+
+226
+00:22:43,090 --> 00:22:52,150
+واحد andأتنين يبقى ال N بده يساوي ال M هذا معناته
+
+227
+00:22:52,150 --> 00:22:57,350
+ان ال order ل A بده يساوي ال order ل A inverse وهو
+
+228
+00:22:57,350 --> 00:22:58,070
+المطلوب
+
+229
+00:23:04,320 --> 00:23:09,480
+يبقى شباب في الجبرال هنا احنا بنحاول نستخدم كل
+
+230
+00:23:09,480 --> 00:23:15,220
+المعلومات اللي درسناها في مبادئ الرياضيات متى لازم
+
+231
+00:23:15,220 --> 00:23:20,480
+الأمر و أين بنلزم بنروح نستخدمها يبقى هذا كان
+
+232
+00:23:20,480 --> 00:23:27,840
+السؤال رقم أربع معانا الآن السؤال رقم ستة يبقى ستة
+
+233
+00:23:27,840 --> 00:23:36,100
+بيقول ايه element موجود في ال groupو A6 يساوي ال
+
+234
+00:23:36,100 --> 00:23:43,300
+identity element و what are the possible orders
+
+235
+00:23:43,300 --> 00:23:49,160
+for order A و قول لي ليش هذا بده يعطينا ان ال
+
+236
+00:23:49,160 --> 00:23:56,300
+order ل A الله أعلم بده
+
+237
+00:23:56,300 --> 00:24:04,160
+ال order ل A قد إيش ممكن يكون الله أعلمطيب الحين
+
+238
+00:24:04,160 --> 00:24:10,020
+قد يكون ال a هذا هو ال identity element بقدر أقول
+
+239
+00:24:10,020 --> 00:24:15,900
+ال order يساوي ستة؟ قد يكون لكن ماقدرش أكد بقولي
+
+240
+00:24:15,900 --> 00:24:22,840
+ما هي الاحتمالات الممكنة لل order تبع ال a شو
+
+241
+00:24:22,840 --> 00:24:27,470
+الاحتمالات الممكنة لل order تبع ال aبقول له يمكن
+
+242
+00:24:27,470 --> 00:24:31,810
+يكون الـA هو ال identity إليه إذا ال order لا يبقى
+
+243
+00:24:31,810 --> 00:24:38,170
+جديش واحد اتنين قد يكون ال order ل A هو اتنين
+
+244
+00:24:38,170 --> 00:24:41,510
+معقول
+
+245
+00:24:41,510 --> 00:24:46,830
+ولا لا بصير اتنين تكيب ال identity إذا الاحتمال
+
+246
+00:24:46,830 --> 00:24:53,810
+وارد قد يكون ال order ل A تلاتة وارد
+
+247
+00:24:54,210 --> 00:25:01,310
+قد يكون ال order لإيه؟ أربعة خمسة ممكن؟ غير ممكن
+
+248
+00:25:01,310 --> 00:25:07,590
+على الإطلاق يبقى بيظل ستة أغششك شغلة سنثبتها كمان
+
+249
+00:25:07,590 --> 00:25:14,990
+جدام شويةدائما و أبدا لو كان عندك order ل element
+
+250
+00:25:14,990 --> 00:25:20,670
+و اللي حطيت أس تاني ل ال element هذا طلع ال
+
+251
+00:25:20,670 --> 00:25:25,630
+identity لازم ال order ل ال element يقسم هذا الرقم
+
+252
+00:25:25,630 --> 00:25:32,750
+يعني كل الاحتمالات الممكنة هو divisor الست يبقى
+
+253
+00:25:32,750 --> 00:25:38,240
+بصير ال identity هو واحدوالـ A تربيع اللي هو اتنين
+
+254
+00:25:38,240 --> 00:25:41,940
+والـ A تكيب اللي هو تلاتة والـ A والستة يبقى
+
+255
+00:25:41,940 --> 00:25:45,520
+الواحد والاتنين والتلاتة والستة هما ال possible
+
+256
+00:25:45,520 --> 00:25:52,900
+orders فقط لا غير يبقى باجي بقوله هنا the possible
+
+257
+00:25:52,900 --> 00:26:03,540
+orders areواحد و اتنين و تلاتة و ستة only فقط
+
+258
+00:26:03,540 --> 00:26:08,660
+مافيش غيرهم يعني لا بقدر أقول أربعة ولا بقدر أقول
+
+259
+00:26:08,660 --> 00:26:15,140
+خمسة ولا غيره كل هذه الأرقام بستطيعش أقولها أبدا
+
+260
+00:26:35,110 --> 00:26:41,430
+طيب ننتقل لسؤال تمانية سؤال تمانية بيقول ال X
+
+261
+00:26:41,430 --> 00:26:52,070
+موجود في group G و X تربيع لا
+
+262
+00:26:52,070 --> 00:26:53,170
+يساوي
+
+263
+00:26:57,150 --> 00:27:01,590
+و X6 يساوي E
+
+264
+00:27:10,650 --> 00:27:16,910
+هذا بده يعطينا ان ال X أس أربعة لا يمكن أن تساوي
+
+265
+00:27:16,910 --> 00:27:25,990
+ال E and ال X أس خمسة لا يمكن أن تساوي ال identity
+
+266
+00:27:25,990 --> 00:27:30,930
+element what can you say about the order of X بدي
+
+267
+00:27:30,930 --> 00:27:35,890
+كمان ال order ل X يساوي جداش عندنا
+
+268
+00:27:41,670 --> 00:27:48,450
+الان المعطيات كالتالي هدول اتنين معطيات وهدول
+
+269
+00:27:48,450 --> 00:27:53,290
+التلاتة مطلوب يبقى انا بدي احاول استخدام المعطيات
+
+270
+00:27:53,290 --> 00:27:58,870
+بقدر الامكان مشان اوصل للمطلوب يبقى ال X تربيع لا
+
+271
+00:27:58,870 --> 00:28:03,270
+يمكن ان يساوي ال identity element السؤال هو هل
+
+272
+00:28:03,270 --> 00:28:08,800
+يمكن لل X ان يكون ال identity؟هو مستبعد تماما لأن
+
+273
+00:28:08,800 --> 00:28:12,560
+كل اندرز يبقى مربع ويعطينا ال identity وهذا مستبعد
+
+274
+00:28:12,560 --> 00:28:15,940
+يبقى استبعدنا ال identity element ان X يساوي ال
+
+275
+00:28:15,940 --> 00:28:20,100
+identity واستبعدنا كذلك ال X تربية يساوي مايعنى ال
+
+276
+00:28:20,100 --> 00:28:24,480
+identity يعطينا بعد ذلك ان X والستة يساوي ال
+
+277
+00:28:24,480 --> 00:28:30,400
+identity هل بقدر اقول ان ال order لل X يساوي 6لأ
+
+278
+00:28:30,400 --> 00:28:34,820
+طيب خلّي ال order للاخر بس نثبت هذو قاللي اثبتلي
+
+279
+00:28:34,820 --> 00:28:39,820
+ان ال X أص 4 لا يمكن أن يسوى ال identity ولا حتى
+
+280
+00:28:39,820 --> 00:28:45,180
+ال X أص 6 ولا ال X أص 5 بدت سوى ماين ال identity
+
+281
+00:28:45,180 --> 00:28:50,320
+درجة لطرق ال pros اللي اتعلمناها في مبادئ الرياضية
+
+282
+00:28:51,270 --> 00:28:54,930
+يا إما direct proof باخد المعطيات اللى عندى و امشي
+
+283
+00:28:54,930 --> 00:28:59,450
+بها مباشرة يا إما بمشي بال contradiction يا إما
+
+284
+00:28:59,450 --> 00:29:05,550
+بال contrapositive تمام الحين هو بقولي اثبت هذا طب
+
+285
+00:29:05,550 --> 00:29:11,070
+أنا بدي بدي أنفي هذا و لما أنفي هذا بدي أشوف
+
+286
+00:29:11,070 --> 00:29:16,030
+المسار هذا وين بدي يوصلني تمام يبقى بالدهجة أقوله
+
+287
+00:29:16,030 --> 00:29:16,570
+solution
+
+288
+00:29:21,500 --> 00:29:29,460
+assume أفترض أن X أُس 4 يسوى ال identity إذا قدني
+
+289
+00:29:29,460 --> 00:29:35,300
+هذا الكلام إلى تناقض معناته فرضي غلط وعكسه هو الصح
+
+290
+00:29:35,300 --> 00:29:44,160
+طيب then إيش رأيك لو قلت X أُس 4 تربيع مش يسوى ال
+
+291
+00:29:44,160 --> 00:29:49,260
+identity تربيع اللي هو بال identityطيب هذا معناه
+
+292
+00:29:49,260 --> 00:29:56,240
+ايه؟ معناته ان x أُس 8 يساوي ال identity طيب ال x
+
+293
+00:29:56,240 --> 00:30:01,820
+أُس 8 مش هي عبارة عن x أُس 6 في x تربيع يساوي ال
+
+294
+00:30:01,820 --> 00:30:09,030
+identity؟الـ X أُس 6 مُعطَى بالـ Identity في الـ X
+
+295
+00:30:09,030 --> 00:30:13,370
+تربيع بدّي يسوى الـ Identity هذا بدّي يعطيك إن X
+
+296
+00:30:13,370 --> 00:30:19,370
+تربيع بدّي يسوى الـ Identity يبقى سارة ناقم يبقى
+
+297
+00:30:19,370 --> 00:30:26,490
+this is contradict او contradiction
+
+298
+00:30:29,570 --> 00:30:36,910
+for الاكس تربية لا يسوى ال identity فردي
+
+299
+00:30:36,910 --> 00:30:44,350
+غلط وعكسه هو الصح يبقى so الاكس أُص أربعة لا يمكن
+
+300
+00:30:44,350 --> 00:30:49,950
+أن تسوى ال identity على الإطلاق هذا نفس الطريقة
+
+301
+00:31:14,130 --> 00:31:18,230
+يبقى الهدف اللي اتالج exercise
+
+302
+00:31:20,500 --> 00:31:26,020
+بعدها جالي هتل ال order لل X بقوله والله كويس الآن
+
+303
+00:31:26,020 --> 00:31:31,600
+ال X تربيه لا يسوى ال identity وال X أص أربعة لا
+
+304
+00:31:31,600 --> 00:31:35,300
+يسوى ال identity وال X أص خمسة لا يسوى ال identity
+
+305
+00:31:35,300 --> 00:31:38,380
+وال X أص ستة لا يسوى ال identity إذا ما هي
+
+306
+00:31:38,380 --> 00:31:43,310
+الاحتمالات الممكنة لل orderيا تلاتة يا ستة فيش
+
+307
+00:31:43,310 --> 00:31:47,070
+غيرهم حتى لو كان تلاتة بصير اكسته كيف يسوى ال
+
+308
+00:31:47,070 --> 00:31:51,570
+identity وبالتالي مربعه يسوى اكسه الستة اللي هو
+
+309
+00:31:51,570 --> 00:31:56,550
+بال identity وقلت لك قبل قليل ال order لل element
+
+310
+00:31:56,550 --> 00:32:02,010
+بجسم الرقم اللي بتحطه سبعتين من ال identity اذا
+
+311
+00:32:02,010 --> 00:32:05,390
+بجي بقوله the possible
+
+312
+00:32:07,960 --> 00:32:19,260
+orders for x is تلاتة or ستة غير هيك يبعتلك الله
+
+313
+00:32:19,260 --> 00:32:26,560
+طيب هذا كان السؤال رقم تمانية لبعض السؤال يحداش
+
+314
+00:32:26,560 --> 00:32:36,040
+show that يبقى احداش بيقوللي showthat ان ال U كده
+
+315
+00:32:36,040 --> 00:32:40,340
+اش عشرة ولا عشرين وانسة ولا احداشر بيقولي ان ال U
+
+316
+00:32:40,340 --> 00:32:52,080
+عشرين لا يمكن اني الاجيها تولد بعنصر واحد K و ال K
+
+317
+00:32:52,080 --> 00:32:59,940
+هذا for any K موجود في ال U عشرين for any K اللي
+
+318
+00:32:59,940 --> 00:33:01,600
+موجود في ال U عشرين
+
+319
+00:33:06,720 --> 00:33:11,420
+طيب الان بدي اعرف مين هي ال U عشرين بدي نقفها قبل
+
+320
+00:33:11,420 --> 00:33:16,960
+شوية و اماسحناها ال U عشرين قولنا هي واحد و تلاتة
+
+321
+00:33:16,960 --> 00:33:23,260
+و سبعة خمسة لا يا ابني انا سبعة و تسعة و الاحداشر
+
+322
+00:33:23,260 --> 00:33:29,780
+و تلتاشر و سبعة و تاشر و تسعة و تاشرأو حسبنا لهم
+
+323
+00:33:29,780 --> 00:33:35,540
+ال orders قبل قليل مظبوط ال order كان يا إما واحد
+
+324
+00:33:35,540 --> 00:33:41,080
+يا إما اتنين يا إما أربعة فى غير هي كده إذا أى
+
+325
+00:33:41,080 --> 00:33:45,660
+واحد أعلى أس بتحطهله اللى هو أربعة بيعطينا ال
+
+326
+00:33:45,660 --> 00:33:50,800
+identity element بعد ذلك يبقى اللى هدول كام واحد
+
+327
+00:33:50,800 --> 00:33:56,940
+هدول تمانية يعني ماعنديش ولا element ال order اللى
+
+328
+00:33:56,940 --> 00:34:01,830
+يسوى تمانيةلو كان ال order له تمانية فهو يجيب لي
+
+329
+00:34:01,830 --> 00:34:06,750
+كل عناصر ال group اللي عندنا هنا يبقى باجي بقول له
+
+330
+00:34:06,750 --> 00:34:14,150
+هذه ال U عشرين لا يمكن أن تساوي ال subgroup
+
+331
+00:34:14,150 --> 00:34:21,870
+generated by K والك موجود في U عشرين السبب because
+
+332
+00:34:21,870 --> 00:34:36,840
+any element inالـ U عشرين has ordered الهمان طب
+
+333
+00:34:36,840 --> 00:34:47,060
+أنا بقولك عمل هذا و هذا كيف ال U عشرين لا يساوي
+
+334
+00:34:47,060 --> 00:34:51,100
+صحيح يبقى ال U عشرين لا يساوي الكي والكي because
+
+335
+00:34:51,100 --> 00:34:56,540
+any element من عند كلمة because هذا هو البرهانيبقى
+
+336
+00:34:56,540 --> 00:35:02,140
+because any element in Uعشرين has order واحد او
+
+337
+00:35:02,140 --> 00:35:09,340
+اتنين او اربعة او اربعة غير هيك ماعنديش مشان ال
+
+338
+00:35:09,340 --> 00:35:13,920
+element يجيب ل group كلهامشان يجيب الجروب كلها و
+
+339
+00:35:13,920 --> 00:35:19,500
+تبقى Cyclic ال orders اللى بدك ترفع هنا بدي يكون
+
+340
+00:35:19,500 --> 00:35:23,880
+تمانية بدي يساوي ال order لل group مشان يجيب كل
+
+341
+00:35:23,880 --> 00:35:27,760
+عناصر ال group غير هيك بعتلك الله يعني زى ما شوفنا
+
+342
+00:35:27,760 --> 00:35:30,720
+توسعة كل واحد بيجيب ليها عنصر يعنصرين يعني أربع
+
+343
+00:35:30,720 --> 00:35:35,280
+عناصر بس لا يوجد element من ال Z20 بيجيب ليه كل
+
+344
+00:35:35,280 --> 00:35:40,380
+عناصر ال Z20 وبالتالي هذه لا يمكن أن تكون Cyclic
+
+345
+00:35:41,300 --> 00:35:46,280
+طيب روحنا الأن لخمستاش خمستاش بيقول الـH proper
+
+346
+00:35:46,280 --> 00:35:52,260
+subgroup من Z under addition تحت عملية الجامعة
+
+347
+00:35:52,260 --> 00:36:03,800
+يبقى سؤال خمستاش الـH subgroup من Z تحت عملية
+
+348
+00:36:03,800 --> 00:36:10,660
+الجامعة العادية under addition and الـH contains و
+
+349
+00:36:11,150 --> 00:36:20,170
+عند مين اتناشر وتلاتين واربعة وخمسين كلهم موجودات
+
+350
+00:36:20,170 --> 00:36:26,070
+هدول وين في ال H بيقولي what are the possibilities
+
+351
+00:36:26,070 --> 00:36:35,930
+for H ما هي إمكانيات ان ال H يكون شكلها ايه حد
+
+352
+00:36:35,930 --> 00:36:41,390
+فيكم بيقدر يجيبليأي شكل من أشكال H طبعا عدة أشكال
+
+353
+00:36:41,390 --> 00:36:46,090
+دي واحد يجيبلي بس شكل واحد السؤال مرة تانية أنا
+
+354
+00:36:46,090 --> 00:36:51,650
+عند مجموعة اللي أدد صحيحة ومعرف عليها الجامعة أخدت
+
+355
+00:36:51,650 --> 00:36:57,390
+H هذه ال sub group منها ال H لجيت فيها العناصر 12
+
+356
+00:36:57,390 --> 00:37:03,350
+و34 و50 بيقول لي احتمال H تكون mean هذه
+
+357
+00:37:07,670 --> 00:37:13,390
+يجب أن يتجمع كل واحد صفر صفر ممكن ال H تبقى zero
+
+358
+00:37:13,390 --> 00:37:17,250
+يعني ليه trivial subgroup لا يعني صفر واحد ممكن
+
+359
+00:37:17,250 --> 00:37:21,550
+تبقى صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+360
+00:37:21,550 --> 00:37:24,970
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+361
+00:37:24,970 --> 00:37:30,050
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+362
+00:37:30,050 --> 00:37:32,150
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+363
+00:37:32,150 --> 00:37:37,360
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر صفطبعا
+
+364
+00:37:37,360 --> 00:37:42,180
+كتير بلاجة مش واحد و واحد ايه
+
+365
+00:37:42,180 --> 00:37:45,220
+التاجمة
+
+366
+00:37:45,220 --> 00:37:48,580
+هتجيبله معكوس كله لازم تجيبه تقدر تجيبلي واحدة
+
+367
+00:37:48,580 --> 00:37:56,840
+ايوة ستة تلاتة تلاتة ماشي طب و اتنين عملية جمع
+
+368
+00:37:56,840 --> 00:38:00,260
+اتنين اربعة ستة تمانية بتجي على التلاتين و تجي على
+
+369
+00:38:00,260 --> 00:38:05,140
+اربعة خمسين ولا لاطيب ممتاز طيب التلاتة تلاتة ستة
+
+370
+00:38:05,140 --> 00:38:07,760
+تسعة اطلع تجي على التلاتين والاربعة والخمسين الستة
+
+371
+00:38:07,760 --> 00:38:13,460
+كمان يعني ايش يعني كأن انا بجيب لجريس ال common
+
+372
+00:38:13,460 --> 00:38:19,600
+divisors ما بين التلاتين والاربعة والخمسين جيب
+
+373
+00:38:19,600 --> 00:38:23,920
+لجريس ال common مش لجريس كل ال common divisor كل
+
+374
+00:38:23,920 --> 00:38:28,880
+ال common divisor المشتركان بتلاقيهم هم تبعت من؟
+
+375
+00:38:29,090 --> 00:38:35,590
+يبقى هنا بقوله يبقى ال H بدها تساوي subgroup
+
+376
+00:38:35,590 --> 00:38:42,050
+generated by 2 4 6 8 10 12 14 30 32 34 لغاية توصل
+
+377
+00:38:42,050 --> 00:38:48,170
+ل 4 5 و تبقى ماشيوالاحتمال الاخر ممكن تكون الـ H
+
+378
+00:38:48,170 --> 00:38:52,590
+في يمين ال subgroup generated by 3 والاحتمال
+
+379
+00:38:52,590 --> 00:38:56,810
+الثالث تبقى ال subgroup generated by 6 كلها بتجيب
+
+380
+00:38:56,810 --> 00:39:03,730
+لثلاثة أرقام ما خل ذلكتلاقيش تمام فش .. إذا فضت
+
+381
+00:39:03,730 --> 00:39:07,710
+الستة إذا فضت ستة مافيش إمكانية بصير أكتر من
+
+382
+00:39:07,710 --> 00:39:12,650
+أطمعاش مرتين أين؟ لذلك ماعنديش إلا التلاتة هذول كل
+
+383
+00:39:12,650 --> 00:39:18,750
+الاحتمالات الممكنة لل cyclic subgroups اللي بدي
+
+384
+00:39:18,750 --> 00:39:22,630
+يكون العناصر التلاتة هذول موجودات فيها كيف؟ الواحد
+
+385
+00:39:22,630 --> 00:39:27,790
+الواحد بيجيبها يا راجل الجامعة الواحد أه بيجيبها
+
+386
+00:39:27,790 --> 00:39:34,950
+ليش ما ..بجيبها واحد و الواحد كمان زيادة على ذلك
+
+387
+00:39:34,950 --> 00:39:40,010
+لإن ال identity هنا هو ال zero والواحد برضه وال H
+
+388
+00:39:40,010 --> 00:39:45,810
+برضه احتمال يكون الواحد كل اللي بتجيبها تمام؟ لكن
+
+389
+00:39:45,810 --> 00:39:49,050
+أبسط الحاجة اتنين تلتة ستة هذه لأول واحد ال
+
+390
+00:39:49,050 --> 00:39:53,710
+divisor بيجيبوا كل الباقى لإن كل واحد من التلاتة
+
+391
+00:39:53,710 --> 00:39:59,010
+عبارة عن ال divisor مضروب في رقم بيجيبوا دغريو
+
+392
+00:39:59,010 --> 00:40:04,890
+الواحد اللي هي بتجيب الكل طيب الان
+
+393
+00:40:04,890 --> 00:40:11,070
+سؤال سبعتاش سؤال سبعتاش اه هذا very important لأن
+
+394
+00:40:11,070 --> 00:40:25,830
+في معلومة جديدة سؤال
+
+395
+00:40:25,830 --> 00:40:26,610
+سبعتاش
+
+396
+00:40:31,010 --> 00:40:37,430
+سؤال سبعتاشر يا شباب بيقول لأني divisor K of N
+
+397
+00:40:37,430 --> 00:40:49,630
+يبقى K بتقسم ال N ولات ال UKN هي من؟ هي كل العناصر
+
+398
+00:40:49,630 --> 00:40:57,920
+X اللي موجودة في ال UNبحيث ان
+
+399
+00:40:57,920 --> 00:41:06,320
+الـ x modulo k بده يساوي الواحدة الصحية بقول for
+
+400
+00:41:06,320 --> 00:41:10,480
+example بيعطيني u تلاتة تساوي كذا و u سبعة تساوي
+
+401
+00:41:10,480 --> 00:41:18,900
+كذا list the elements of
+
+402
+00:41:18,900 --> 00:41:22,100
+u
+
+403
+00:41:22,100 --> 00:41:31,630
+أربعة عشرينيو أربعة عشرين و يو خمسة عشرين يو خمسة
+
+404
+00:41:31,630 --> 00:41:41,330
+عشرين و يو خمسة تلاتين يو خمسة تلاتين و كذلك يو
+
+405
+00:41:41,330 --> 00:41:49,750
+عشرة تلاتين يو عشرة تلاتين هذا المطلوب الأول هذا
+
+406
+00:41:49,750 --> 00:41:55,960
+نمر ايه؟بعدها نمرة B بيقول prove that هذي ال sub
+
+407
+00:41:55,960 --> 00:42:06,160
+group نمرة B prove ان U KN sub group من ال UN وبعد
+
+408
+00:42:06,160 --> 00:42:15,420
+ذلك خد ال H نمرة C ال H تساوي كل العناصر X كل
+
+409
+00:42:15,420 --> 00:42:23,910
+العناصر X اللي موجودة في U عشرةبحيث ان ال X modulo
+
+410
+00:42:23,910 --> 00:42:29,090
+تلاتة تساوي واحد X modulo تلاتة تساوي واحد بيقول
+
+411
+00:42:29,090 --> 00:42:38,050
+هل ال H subgroup من عشرة ام لا is ال H subgroup من
+
+412
+00:42:38,050 --> 00:42:45,910
+U عشرة ام لا هي السؤال يبقى في عندي ثلاث نقاط بدي
+
+413
+00:42:45,910 --> 00:42:49,590
+ابدا مع كل نقطة من النقاط الثلاثة
+
+414
+00:43:08,860 --> 00:43:16,400
+عندي K تقسم ال N وعندي ال U K N كل العناصر اللي
+
+415
+00:43:16,400 --> 00:43:22,700
+موجود في U N اللي بتحقق X modulo K يساوي واحد يعني
+
+416
+00:43:22,700 --> 00:43:30,800
+الفرق ما بين ال X وما بين ال 1 هو مضاعفات ال Kبقول
+
+417
+00:43:30,800 --> 00:43:33,420
+لي هاتل ال elements طبعا هو ميعطيني تنتين و
+
+418
+00:43:33,420 --> 00:43:37,520
+حسبهملي و بعدين يقولي يلا احسب ال U أربع عشرين و
+
+419
+00:43:37,520 --> 00:43:41,720
+ال U خمسة عشرين و ال U خمسة تلاتين و ال U عشرة
+
+420
+00:43:41,720 --> 00:43:46,180
+تلاتين و ما إلى ذلك بقوله كويس اذا بدي اجي للنقطة
+
+421
+00:43:46,180 --> 00:43:50,520
+الأولى مشان هيك بدي اجيب له U عشرين في الأول لإن
+
+422
+00:43:50,520 --> 00:43:55,010
+الشغل بدي أكون عليهايبقى بدي اجي الى النقطة الاولى
+
+423
+00:43:55,010 --> 00:44:00,470
+بدي اجيب له U عشرين ودى حسبناها قبل قليل واحد
+
+424
+00:44:00,470 --> 00:44:07,930
+تلاتة سبعة تسعة احداشر تلاتاشر سبعتاشر تسعة تاشر
+
+425
+00:44:07,930 --> 00:44:12,190
+واحد اتنين تلاتة اربعة وكمان اربعة تمانية مظبوط
+
+426
+00:44:12,190 --> 00:44:18,610
+طيب الان بدي اجي اجيب له U اربعة عشرين يبقى U
+
+427
+00:44:18,610 --> 00:44:20,090
+اربعة
+
+428
+00:44:24,580 --> 00:44:32,400
+عشرين يساوي تعالى التعريف بيقول U K N كل اللي
+
+429
+00:44:32,400 --> 00:44:37,580
+موجودات في UN بحيث يكون الفرق بينها و بينها هو
+
+430
+00:44:37,580 --> 00:44:42,220
+مضاعفات ال K يبقى بدي أشوف الأرقام اللي عندي من
+
+431
+00:44:42,220 --> 00:44:47,340
+الفرق بينه و بين الواحد هو مضاعفات الأربعة طبعا
+
+432
+00:44:47,340 --> 00:44:51,760
+الواحد لأن الفرق بينهم Zero مضاعفات الأربعة طيب
+
+433
+00:44:51,760 --> 00:44:56,810
+هاي واحدالتلاتة اطرح من واحد وصير اتنين هي مضاعفات
+
+434
+00:44:56,810 --> 00:45:00,330
+الأربعة لأ السابعة اطرح من واحد ستة مضاعفات
+
+435
+00:45:00,330 --> 00:45:04,170
+الأربعة لأ تسعة اطرح من واحد بضل قداش تمانية
+
+436
+00:45:04,170 --> 00:45:10,030
+مضاعفات الأربعة يبقى هذه التسعة الان احداش انسى
+
+437
+00:45:10,030 --> 00:45:15,900
+تلتاش اه صحيحيبقى تلتاش اطرح منها واحد اتناش
+
+438
+00:45:15,900 --> 00:45:22,420
+مضاعفات الأربعة سبعتاش نفس القصة يبقى و السبعتاش و
+
+439
+00:45:22,420 --> 00:45:28,000
+التسعتاش بلاش منها تمام يبقى هذه U أربعة عشرين
+
+440
+00:45:28,000 --> 00:45:32,980
+جيبناها و بعدين قاللي هذه U خمسة عشرين النقطة
+
+441
+00:45:32,980 --> 00:45:41,100
+الثانية بدنا U خمسة عشرين و يساوي الواحد و نجي
+
+442
+00:45:41,100 --> 00:45:45,810
+ندورالواحد والاحداشر الواحد والاحداشر الواحد
+
+443
+00:45:45,810 --> 00:45:45,810
+الواحد الواحد الواحد الواحد الواحد الواحد الواحد
+
+444
+00:45:45,810 --> 00:45:46,150
+الواحد الواحد الواحد الواحد الواحد الواحد الواحد
+
+445
+00:45:46,150 --> 00:45:47,430
+الواحد الواحد الواحد الواحد الواحد الواحد الواحد
+
+446
+00:45:47,430 --> 00:45:47,670
+الواحد الواحد الواحد الواحد الواحد الواحد الواحد
+
+447
+00:45:47,670 --> 00:45:51,070
+الواحد الواحد الواحد
+
+448
+00:45:51,070 --> 00:45:54,670
+الواحد
+
+449
+00:45:54,670 --> 00:45:55,190
+الواحد الواحد الواحد الواحد الواحد الواحد الواحد
+
+450
+00:45:55,190 --> 00:45:55,190
+الواحد الواحد الواحد الواحد الواحد الواحد الواحد
+
+451
+00:45:55,190 --> 00:45:55,190
+الواحد الواحد الواحد الواحد الواحد الواحد الواحد
+
+452
+00:45:55,190 --> 00:45:55,190
+الواحد الواحد الواحد الواحد الواحد الواحد الواحد
+
+453
+00:45:55,190 --> 00:46:04,890
+الواحد الواحد الواحد الواحد الواحد الواحد الواحد
+
+454
+00:46:04,890 --> 00:46:08,450
+الواحد ال
+
+455
+00:46:09,610 --> 00:46:16,590
+و بعدين تمانية تسعة عشرة احداش تلتاش اربعتاش
+
+456
+00:46:16,590 --> 00:46:25,150
+خمستاش ستاش سبعتاش وحط تسعة عشر عشرين واحدة وعشرين
+
+457
+00:46:25,150 --> 00:46:30,530
+اتنين وعشرين تلاتة وعشرين اربعة وعشرين خمسة وعشرين
+
+458
+00:46:30,530 --> 00:46:36,730
+ستة وعشرين سبعة وعشرين تمانية وعشرين تسعة وعشرين
+
+459
+00:46:36,730 --> 00:46:41,210
+تبقى هذه جبت له U تلاتينقال لي هاتلي يو خمسة
+
+460
+00:46:41,210 --> 00:46:48,510
+تلاتين يو خمسة تلاتين يو ساوي الواحد منهم وبدأ
+
+461
+00:46:48,510 --> 00:46:57,270
+أروح أدور يبقى قداش احداش في غيرها اتناش، ستاش،
+
+462
+00:46:57,270 --> 00:47:01,370
+تمانتاش، اتنين وعشرين، تمانية وعشرين ولا واحدة
+
+463
+00:47:01,370 --> 00:47:05,250
+بتكسب على خمسة تمام؟ يبقى ماعنديش الا الواحد
+
+464
+00:47:05,250 --> 00:47:10,250
+والاحداشبعدها تقول ياتي يو عشرة تلاتين يو عشرة
+
+465
+00:47:10,250 --> 00:47:17,610
+تلاتين موجودة يو عشرة تلاتين اللي هي برضه واحد و
+
+466
+00:47:17,610 --> 00:47:19,070
+واحدة عشرة مافيش غير
+
+467
+00:47:22,780 --> 00:47:28,740
+هذه و هذه كلها مختلفة لكن النتيجة واحدة لكن كل
+
+468
+00:47:28,740 --> 00:47:35,380
+واحدة في موقع في set مختلفة عن التانية هذه يو خمسة
+
+469
+00:47:35,380 --> 00:47:40,420
+عشرين جزء من ال يو عشرين هذه يو خمسة تلاتين جزء من
+
+470
+00:47:40,420 --> 00:47:44,980
+ال يو تلاتين يو عشرة تلاتين جزء من ال يو تلاتين
+
+471
+00:47:45,220 --> 00:47:49,940
+يبقى بقدرش اقول انه هذه كل اللي بقدر اقوله انه هذه
+
+472
+00:47:49,940 --> 00:47:53,380
+ال subgroup هي ال subgroup هذه هذا بعد ما اثبتنا
+
+473
+00:47:53,380 --> 00:47:57,340
+subgroup لسه ما اثبتناش هذا احنا جيبنا لسه المطلوب
+
+474
+00:47:57,340 --> 00:48:01,180
+الاول المطلوب التالي يقول اثبتلي انه هذه ال
+
+475
+00:48:01,180 --> 00:48:09,580
+subgroup بقوله بصيفة باجلن امرميه اول شيء ال UKN
+
+476
+00:48:09,580 --> 00:48:15,900
+is non-emptyفيها العنصر زي ما انتشب و احنا بنحسب
+
+477
+00:48:15,900 --> 00:48:20,160
+كل واحد واحد واحد لإنه اطرح منه يصير مضعفة الرقم
+
+478
+00:48:20,160 --> 00:48:24,920
+اللي عندك مين مكان يكون UK is non-empty since
+
+479
+00:48:24,920 --> 00:48:28,940
+الواحد موجود في UKN
+
+480
+00:48:30,920 --> 00:48:38,460
+طيب الان بدي افترض هذه النقطة الاولى بدي اخد list
+
+481
+00:48:38,460 --> 00:48:46,280
+بدي اخد رقامين ال a مثلا او ال x و ال y موجودات في
+
+482
+00:48:46,280 --> 00:48:50,800
+ال UK then
+
+483
+00:48:50,800 --> 00:48:53,920
+ال
+
+484
+00:48:53,920 --> 00:49:02,990
+x modulo كيف بدي اسمه كده؟و ال y modulo k يسوى كم؟
+
+485
+00:49:02,990 --> 00:49:11,630
+كمان واحد طيب هذا معناه ايش؟ مش معناه ان ال x يسوى
+
+486
+00:49:11,630 --> 00:49:21,430
+q واحد k زائد واحد؟ مظبوط طيب و ال y اي q اتنين k
+
+487
+00:49:21,430 --> 00:49:29,030
+زائد واحد؟والـ Q1 موجودة في Z integer و الـ Q2
+
+488
+00:49:29,030 --> 00:49:34,990
+موجودة في Z integer طيب أنا بدي أشوف هل حاصل ضربهم
+
+489
+00:49:34,990 --> 00:49:41,750
+موجود في الـ U K ولا لأ بجي بقوله الآن بدي أخد ال
+
+490
+00:49:41,750 --> 00:49:51,450
+X في Y يساوي Q1 K زائد 1 في Q2 K زائد 1هذا سوف
+
+491
+00:49:51,450 --> 00:49:59,870
+يعطيك ان ال X Y يساوي نضرب يا شباب يبقى Q1 Q2 K
+
+492
+00:49:59,870 --> 00:50:11,990
+تربيع زائد Q1 K زائد Q2 K زائد واحد طيب هذا معناه
+
+493
+00:50:11,990 --> 00:50:17,990
+ان ال X Y يساوي شرايك هذول التلاتة بدي اخد منهم K
+
+494
+00:50:17,990 --> 00:50:24,380
+عامل مشتركيبقى لو أخد كي عمل مشترك بيصير كي واحد
+
+495
+00:50:24,380 --> 00:50:31,620
+اكي و اتنين كي زائد كي واحد زائد كي و اتنين في كي
+
+496
+00:50:31,620 --> 00:50:40,840
+زائد واحد ايش معنى هذا الكلام انه x y موجودة او ال
+
+497
+00:50:40,840 --> 00:50:49,360
+x y modulo k بدى يسوي جداشإذا هذا معناه ان ال X Y
+
+498
+00:50:49,360 --> 00:50:57,080
+موديولو K بدل سوى الواحد هذا معناه ان ال X Y موجود
+
+499
+00:50:57,080 --> 00:50:59,120
+في ال U KN
+
+500
+00:51:02,490 --> 00:51:07,690
+طب احنا الأصل نثبت الأول في معكوسي الثاني موجود
+
+501
+00:51:07,690 --> 00:51:11,690
+لكن هذا إذا بدنا النظرية الأولى لكن أخدنا نظرية
+
+502
+00:51:11,690 --> 00:51:17,930
+تانية السؤال هو هل ال UK infinite ولا ما هوش
+
+503
+00:51:17,930 --> 00:51:23,150
+finite finite لإن ال UN أصلا finite انت الحد ال N
+
+504
+00:51:23,150 --> 00:51:30,550
+ناقص واحد بتوقف تبقى باجي بقولهالان ال U K N is
+
+505
+00:51:30,550 --> 00:51:41,410
+finite السبب finite because ال U N is finite
+
+506
+00:51:44,370 --> 00:51:50,490
+طيب هى الست اللى أخدناها non-empty واحد اتنين
+
+507
+00:51:50,490 --> 00:51:54,310
+أخدته elements اللى جت حاصل ضرب الأول موجود فيها
+
+508
+00:51:54,310 --> 00:52:00,030
+تلاتة ال subset هذه مالها finite خلصنا مش في نظرية
+
+509
+00:52:00,030 --> 00:52:03,930
+بتقول هيك لأ non-empty finite subset و بكتابت
+
+510
+00:52:03,930 --> 00:52:06,430
+البيت لو أخدت عنصرين موجودات فيها أثبتنا يبقى
+
+511
+00:52:06,430 --> 00:52:12,030
+خلصنا يبقى بناء عليه ال UK is a subgroup يبقى بروح
+
+512
+00:52:12,030 --> 00:52:13,310
+بقوله bye
+
+513
+00:52:24,590 --> 00:52:34,000
+الـ UKN is a subgroup من من ال UNخلاص المطلوب بيه
+
+514
+00:52:34,000 --> 00:52:38,760
+بدنا نروح للمطلوب C المطلوب C بيقول ال X كل
+
+515
+00:52:38,760 --> 00:52:43,560
+العناصر اللي موجودة في عشرة في U عشرة اذا بدروح
+
+516
+00:52:43,560 --> 00:52:50,860
+احسب له من U عشرة عناصره ليه واحد وثلاثة وسبعة
+
+517
+00:52:50,860 --> 00:52:56,980
+وتسعة مظبوط هيك؟يبقى بيقول ال X اللى موجودة فيه
+
+518
+00:52:56,980 --> 00:53:03,340
+عشرة بحيث ال X modulo تلاتة بده ساوى مين بده ساوى
+
+519
+00:53:03,340 --> 00:53:09,480
+واحد طيب هذا بده يعطينا انه H تساوي الواحد منهم
+
+520
+00:53:10,050 --> 00:53:14,330
+اندور على التاني ثلاثة لو شيلنا واحد بيصير اتنين
+
+521
+00:53:14,330 --> 00:53:18,210
+ماهياش مضاعفات التلاتة سبعة شيلنا واحد بيصير ستة
+
+522
+00:53:18,210 --> 00:53:25,230
+اه سبعة منهم ستعة لأ هدئتش الان هل لئتش subgroup
+
+523
+00:53:25,230 --> 00:53:32,060
+ام لا قولوا الله أعلمتعالى شوف الواحد فشه مشكلة لو
+
+524
+00:53:32,060 --> 00:53:37,640
+ضربت السبعة في نفسه لو كانت ال subgroup السبعة
+
+525
+00:53:37,640 --> 00:53:42,620
+هيكون هو المعكوس لنفسه يعني السبعة تربيها بتعطيني
+
+526
+00:53:42,620 --> 00:53:48,120
+main ال identity element لكن سبعة في سبعة تسعة
+
+527
+00:53:48,120 --> 00:53:54,060
+واربعين شيل اربع عشرات بيظل تسعة هل التسعة هذا
+
+528
+00:53:54,060 --> 00:54:00,280
+موجود فيكش؟مش موجود في هاتش يبقى أخدت element في h
+
+529
+00:54:00,280 --> 00:54:04,460
+ضربته نفسي طوله يعني ال h is not closed under the
+
+530
+00:54:04,460 --> 00:54:10,340
+operation يبقى هل هذه subgroup يبقى هذا بده يعطيلك
+
+531
+00:54:10,340 --> 00:54:18,000
+ان ال h is not a subgroup من ال u عشرة من ال u
+
+532
+00:54:18,000 --> 00:54:19,060
+عشرة because
+
+533
+00:54:21,670 --> 00:54:33,690
+إن الـ H is not closed under the
+
+534
+00:54:33,690 --> 00:54:40,210
+operation on
+
+535
+00:54:40,210 --> 00:54:42,050
+ال U عشرة
+
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/rqvs3Awtmos_raw.json b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/rqvs3Awtmos_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..70de6b4349f1adf13840d112ce1e89424d1c7d81
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/rqvs3Awtmos_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 4935, "start": 20.99, "end": 49.35, "text": "بسم الله الرحمن الرحيم الان نبدأ في الموضوع اللي أشارناه الصبح وهو ال chapter المقدمة اللي بتحدث عن تذكير ببعض ما درس في مبادئ الرياضيات و اللي هنأسس عليه دراستنا في علم algebra قبل أن نبدأ بأي نقطة في هذا ال chapter بحب نذكر بمجموعة ال sets اللي عليها بدنا نبني دراستنا ان شاء الله تبارك وتعالى", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 2423, 7649, 8717, 44510, 10721, 8978, 9673, 2407, 11242, 45367, 13672, 1829, 5551, 8592, 9640, 8315, 3224, 31767, 49628, 37037, 2407, 2423, 7187, 9673, 28543, 46007, 13672, 1829, 39894, 24401, 12984, 18871, 6055, 8848, 4117, 13546, 4724, 3555, 3615, 11242, 19446, 11778, 2288, 3794, 8978, 3714, 3555, 18513, 19986, 2423, 16572, 46958, 1829, 9307, 4032, 13672, 1829, 8032, 1863, 10721, 3794, 3794, 47356, 11778, 23557, 14851, 8315, 8978, 11203, 2304, 21989, 12174, 36150, 14739, 8717, 44510, 10721, 4724, 10721, 1829, 8717, 47432, 3660, 8978, 23758, 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{"start": 43.87, "end": 44.15, "word": " ال", "probability": 0.92626953125}, {"start": 44.15, "end": 44.51, "word": " sets", "probability": 0.78857421875}, {"start": 44.51, "end": 45.23, "word": " اللي", "probability": 0.966064453125}, {"start": 45.23, "end": 45.71, "word": " عليها", "probability": 0.979248046875}, {"start": 45.71, "end": 46.11, "word": " بدنا", "probability": 0.92041015625}, {"start": 46.11, "end": 46.49, "word": " نبني", "probability": 0.9567057291666666}, {"start": 46.49, "end": 47.41, "word": " دراستنا", "probability": 0.99560546875}, {"start": 47.41, "end": 47.73, "word": " ان", "probability": 0.689453125}, {"start": 47.73, "end": 47.99, "word": " شاء", "probability": 0.977783203125}, {"start": 47.99, "end": 48.21, "word": " الله", "probability": 0.9541015625}, {"start": 48.21, "end": 48.81, "word": " تبارك", "probability": 0.884765625}, {"start": 48.81, "end": 49.35, "word": " وتعالى", "probability": 0.902587890625}], "temperature": 1.0}, {"id": 2, "seek": 7456, "start": 49.86, "end": 74.56, "text": "أول set من هذه ال sets يبقى مضاجي أقول اللي هو ال sets المجموعات أول set من هذه ال sets اللي هو the set of natural numbers هذا هديها الرمز capital N", "tokens": [10721, 12610, 992, 9154, 29538, 2423, 6352, 7251, 3555, 4587, 7578, 3714, 11242, 26108, 1829, 5551, 39648, 13672, 1829, 31439, 2423, 6352, 9673, 7435, 2304, 45367, 9307, 5551, 12610, 992, 9154, 29538, 2423, 6352, 13672, 1829, 31439, 264, 992, 295, 3303, 3547, 23758, 8032, 16254, 11296, 34892, 2304, 11622, 4238, 426], "avg_logprob": -0.18254207332546896, "compression_ratio": 1.5390070921985815, "no_speech_prob": 0.0, "words": [{"start": 49.86, "end": 50.42, "word": "أول", "probability": 0.8955078125}, {"start": 50.42, "end": 50.76, "word": " set", "probability": 0.68603515625}, {"start": 50.76, "end": 51.04, "word": " من", "probability": 0.98681640625}, {"start": 51.04, "end": 51.44, "word": " هذه", "probability": 0.9267578125}, {"start": 51.44, "end": 51.74, "word": " ال", "probability": 0.94873046875}, {"start": 51.74, "end": 52.02, "word": " sets", "probability": 0.87548828125}, {"start": 52.02, "end": 52.88, "word": " يبقى", "probability": 0.8907470703125}, {"start": 52.88, "end": 53.52, "word": " مضاجي", "probability": 0.65045166015625}, {"start": 53.52, "end": 54.24, "word": " أقول", "probability": 0.7607421875}, {"start": 54.24, "end": 54.78, "word": " اللي", "probability": 0.796875}, {"start": 54.78, "end": 54.94, "word": " هو", "probability": 0.9619140625}, {"start": 54.94, "end": 55.14, "word": " ال", "probability": 0.86767578125}, {"start": 55.14, "end": 55.52, "word": " sets", "probability": 0.95556640625}, {"start": 55.52, "end": 56.9, "word": " المجموعات", "probability": 0.955078125}, {"start": 56.9, "end": 57.98, "word": " أول", "probability": 0.8095703125}, {"start": 57.98, "end": 58.44, "word": " set", "probability": 0.97119140625}, {"start": 58.44, "end": 58.72, "word": " من", "probability": 0.99365234375}, {"start": 58.72, "end": 59.14, "word": " هذه", "probability": 0.97802734375}, {"start": 59.14, "end": 59.42, "word": " ال", "probability": 0.98779296875}, {"start": 59.42, "end": 59.72, "word": " sets", "probability": 0.96630859375}, {"start": 59.72, "end": 60.16, "word": " اللي", "probability": 0.98388671875}, {"start": 60.16, "end": 60.38, "word": " هو", "probability": 0.98828125}, {"start": 60.38, "end": 60.76, "word": " the", "probability": 0.8251953125}, {"start": 60.76, "end": 61.42, "word": " set", "probability": 0.97509765625}, {"start": 61.42, "end": 64.56, "word": " of", "probability": 0.59814453125}, {"start": 64.56, "end": 66.32, "word": " natural", "probability": 0.82470703125}, {"start": 66.32, "end": 69.18, "word": " numbers", "probability": 0.884765625}, {"start": 69.18, "end": 71.96, "word": " هذا", "probability": 0.323486328125}, {"start": 71.96, "end": 72.54, "word": " هديها", "probability": 0.6778971354166666}, {"start": 72.54, "end": 73.02, "word": " الرمز", "probability": 0.9365234375}, {"start": 73.02, "end": 73.94, "word": " capital", "probability": 0.783203125}, {"start": 73.94, "end": 74.56, "word": " N", "probability": 0.83984375}], "temperature": 1.0}, {"id": 3, "seek": 8957, "start": 83.95, "end": 89.57, "text": "النقطة التانية هي the set of", "tokens": [6027, 1863, 47432, 3660, 16712, 7649, 10632, 39896, 264, 992, 295], "avg_logprob": -0.5273437251647314, "compression_ratio": 0.8775510204081632, "no_speech_prob": 3.993511199951172e-06, "words": [{"start": 83.94999999999999, "end": 85.35, "word": "النقطة", "probability": 0.71099853515625}, {"start": 85.35, "end": 86.27, "word": " التانية", "probability": 0.9427083333333334}, {"start": 86.27, "end": 87.15, "word": " هي", "probability": 0.24658203125}, {"start": 87.15, "end": 87.33, "word": " the", "probability": 0.2086181640625}, {"start": 87.33, "end": 88.07, "word": " set", "probability": 0.97607421875}, {"start": 88.07, "end": 89.57, "word": " of", "probability": 0.96484375}], "temperature": 1.0}, {"id": 4, "seek": 11129, "start": 90.35, "end": 111.29, "text": "Integers مجموعة الاعداد الصحيحة اللي هديها الرمز Z عناصرها هي نقط سالب تلاتة سالب اتنين سالب واحد زيرو واحد اتنين تلاتة الى اخرى", "tokens": [25597, 1146, 433, 3714, 7435, 2304, 2407, 27884, 42963, 22488, 18513, 31767, 5016, 1829, 5016, 3660, 13672, 1829, 8032, 16254, 11296, 34892, 2304, 11622, 1176, 18871, 33546, 2288, 11296, 39896, 8717, 47432, 8608, 6027, 3555, 6055, 1211, 9307, 3660, 8608, 6027, 3555, 1975, 2655, 1863, 9957, 8608, 6027, 3555, 36764, 24401, 30767, 13546, 2407, 36764, 24401, 1975, 2655, 1863, 9957, 6055, 1211, 9307, 3660, 2423, 7578, 1975, 34740, 7578], "avg_logprob": -0.21104911374194282, "compression_ratio": 1.5957446808510638, "no_speech_prob": 9.5367431640625e-07, "words": [{"start": 90.35, "end": 91.81, "word": "Integers", "probability": 0.5517171223958334}, {"start": 91.81, "end": 93.19, "word": " مجموعة", "probability": 0.85380859375}, {"start": 93.19, "end": 93.81, "word": " الاعداد", "probability": 0.8192545572916666}, 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106.11, "word": " سالب", "probability": 0.9407552083333334}, {"start": 106.11, "end": 106.75, "word": " واحد", "probability": 0.984375}, {"start": 106.75, "end": 107.57, "word": " زيرو", "probability": 0.6061197916666666}, {"start": 107.57, "end": 108.45, "word": " واحد", "probability": 0.869140625}, {"start": 108.45, "end": 109.37, "word": " اتنين", "probability": 0.979736328125}, {"start": 109.37, "end": 110.23, "word": " تلاتة", "probability": 0.9722900390625}, {"start": 110.23, "end": 110.65, "word": " الى", "probability": 0.69970703125}, {"start": 110.65, "end": 111.29, "word": " اخرى", "probability": 0.8523763020833334}], "temperature": 1.0}, {"id": 5, "seek": 12343, "start": 112.45, "end": 123.43, "text": "يبقى مجموعة الأعداد الصحيحة الموجبة والسالبة والصفر بنسميها the set of integers يبقى اللي فوق أشهر بسميها شباب", "tokens": [1829, 3555, 4587, 7578, 3714, 7435, 2304, 2407, 27884, 16247, 22488, 18513, 31767, 5016, 1829, 5016, 3660, 9673, 29245, 49401, 16070, 3794, 6027, 49401, 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معناته مجموعة الأعداد الصحيحة الموجبة اللي بتاخد الأعداد من هنا و لغاية الخلف تمام المجموعة التالتة the set", "tokens": [3322, 992, 295, 3353, 41674, 37495, 22653, 3714, 43020, 1975, 39648, 29538, 39896, 710, 1804, 710, 1804, 7251, 3555, 4587, 7578, 264, 992, 295, 3353, 41674, 37495, 22653, 20449, 8315, 47395, 3714, 7435, 2304, 2407, 27884, 16247, 22488, 18513, 31767, 5016, 1829, 5016, 3660, 9673, 29245, 49401, 13672, 1829, 39894, 47283, 3215, 16247, 22488, 18513, 9154, 34105, 4032, 5296, 17082, 995, 10632, 33962, 46538, 46811, 10943, 9673, 7435, 2304, 2407, 27884, 16712, 6027, 2655, 3660, 264, 992], "avg_logprob": -0.2185496749022068, "compression_ratio": 1.8285714285714285, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 125.52, "end": 126.88, "word": "the", "probability": 0.064697265625}, {"start": 126.88, "end": 127.48, "word": " set", "probability": 0.469482421875}, {"start": 127.48, "end": 127.82, "word": " of", "probability": 0.9072265625}, {"start": 127.82, "end": 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"word": " نفس", "probability": 0.998291015625}, {"start": 204.91, "end": 205.39, "word": " الوقت", "probability": 0.98486328125}, {"start": 205.39, "end": 205.69, "word": " بيه", "probability": 0.9513346354166666}, {"start": 205.69, "end": 206.11, "word": " ممنوع", "probability": 0.9861653645833334}, {"start": 206.11, "end": 206.79, "word": " يساوي", "probability": 0.9100341796875}, {"start": 206.79, "end": 207.39, "word": " Zero", "probability": 0.89697265625}, {"start": 207.39, "end": 209.55, "word": " الست", "probability": 0.668701171875}, {"start": 209.55, "end": 210.35, "word": " الرابع", "probability": 0.8642578125}, {"start": 210.35, "end": 210.61, "word": " اللي", "probability": 0.74951171875}, {"start": 210.61, "end": 210.91, "word": " هي", "probability": 0.6005859375}, {"start": 210.91, "end": 211.13, "word": " the", "probability": 0.391357421875}, {"start": 211.13, "end": 211.77, "word": " set", "probability": 0.9404296875}, {"start": 211.77, "end": 213.29, "word": " of", "probability": 0.97509765625}, {"start": 213.29, "end": 214.47, "word": " real", "probability": 0.93212890625}, {"start": 214.47, "end": 216.15, "word": " numbers", "probability": 0.8447265625}], "temperature": 1.0}, {"id": 10, "seek": 23778, "start": 218.6, "end": 237.78, "text": "اللي هي مجموعة الأعداد الحقيقية يبقى لو جيت قولت هذا ال real life يبقى هنا zero و هنا واحد و هنا اتنين الاخره و سالب واحد سالب اتنين و الأعداد اللي موجودة كذلك بينهما", "tokens": [6027, 20292, 39896, 3714, 7435, 2304, 2407, 27884, 16247, 22488, 18513, 21542, 38436, 4587, 10632, 7251, 3555, 4587, 7578, 45164, 10874, 36081, 12174, 12610, 2655, 23758, 2423, 957, 993, 7251, 3555, 4587, 7578, 34105, 4018, 4032, 34105, 36764, 24401, 4032, 34105, 1975, 2655, 1863, 9957, 2423, 47283, 2288, 3224, 4032, 8608, 6027, 3555, 36764, 24401, 8608, 6027, 3555, 1975, 2655, 1863, 9957, 4032, 16247, 22488, 18513, 13672, 1829, 3714, 29245, 23328, 3660, 9122, 8848, 23275, 49374, 3224, 15042], "avg_logprob": -0.1731605948526648, "compression_ratio": 1.7393939393939395, "no_speech_prob": 6.556510925292969e-07, "words": [{"start": 218.6, "end": 218.94, "word": "اللي", "probability": 0.388916015625}, {"start": 218.94, "end": 219.18, "word": " هي", "probability": 0.82568359375}, {"start": 219.18, "end": 219.84, "word": " مجموعة", "probability": 0.9607421875}, {"start": 219.84, "end": 220.66, "word": " الأعداد", "probability": 0.9371744791666666}, {"start": 220.66, "end": 222.1, "word": " الحقيقية", "probability": 0.9827880859375}, {"start": 222.1, "end": 222.92, "word": " يبقى", "probability": 0.9249267578125}, {"start": 222.92, "end": 223.12, "word": " لو", "probability": 0.794921875}, {"start": 223.12, "end": 223.52, "word": " جيت", "probability": 0.957763671875}, {"start": 223.52, "end": 224.02, "word": " قولت", "probability": 0.6708984375}, {"start": 224.02, "end": 224.38, "word": " هذا", "probability": 0.818359375}, {"start": 224.38, "end": 224.66, "word": " ال", "probability": 0.8583984375}, {"start": 224.66, "end": 224.94, "word": " real", "probability": 0.63623046875}, {"start": 224.94, "end": 225.82, "word": " life", "probability": 0.666015625}, {"start": 225.82, "end": 227.02, "word": " يبقى", "probability": 0.9749755859375}, {"start": 227.02, "end": 227.42, "word": " هنا", "probability": 0.97119140625}, {"start": 227.42, "end": 228.16, "word": " zero", "probability": 0.67724609375}, {"start": 228.16, "end": 228.8, "word": " و", "probability": 0.59375}, {"start": 228.8, "end": 229.14, "word": " هنا", "probability": 0.9365234375}, {"start": 229.14, "end": 229.86, "word": " واحد", "probability": 0.948486328125}, {"start": 229.86, "end": 229.98, "word": " و", "probability": 0.9091796875}, {"start": 229.98, "end": 230.22, "word": " هنا", "probability": 0.95068359375}, {"start": 230.22, "end": 230.66, "word": " اتنين", "probability": 0.9710693359375}, {"start": 230.66, "end": 231.52, "word": " الاخره", "probability": 0.675048828125}, {"start": 231.52, "end": 231.64, "word": " و", "probability": 0.51318359375}, {"start": 231.64, "end": 232.12, "word": " سالب", "probability": 0.62255859375}, {"start": 232.12, "end": 232.62, "word": " واحد", "probability": 0.983154296875}, {"start": 232.62, "end": 233.12, "word": " سالب", "probability": 0.8572591145833334}, {"start": 233.12, "end": 233.62, "word": " اتنين", "probability": 0.9876708984375}, {"start": 233.62, "end": 234.18, "word": " و", "probability": 0.48828125}, {"start": 234.18, "end": 234.98, "word": " الأعداد", "probability": 0.9021809895833334}, {"start": 234.98, "end": 235.24, "word": " اللي", "probability": 0.824951171875}, {"start": 235.24, "end": 235.9, "word": " موجودة", "probability": 0.96484375}, {"start": 235.9, "end": 236.66, "word": " كذلك", "probability": 0.95751953125}, {"start": 236.66, "end": 237.78, "word": " بينهما", "probability": 0.8880208333333334}], "temperature": 1.0}, {"id": 11, "seek": 24833, "start": 238.39, "end": 248.33, "text": "كل ال rational و ال irrational number يعني ال set of real numbers هذه حديها الرمز capital R", "tokens": [28820, 2423, 15090, 4032, 2423, 39914, 1230, 37495, 22653, 2423, 992, 295, 957, 3547, 29538, 11331, 16254, 11296, 34892, 2304, 11622, 4238, 497], "avg_logprob": -0.2913411495586236, "compression_ratio": 1.1818181818181819, "no_speech_prob": 0.0, "words": [{"start": 238.39, "end": 238.85, "word": "كل", "probability": 0.38525390625}, {"start": 238.85, "end": 239.13, "word": " ال", "probability": 0.25732421875}, {"start": 239.13, "end": 239.75, "word": " rational", "probability": 0.82177734375}, {"start": 239.75, "end": 240.15, "word": " و", "probability": 0.404052734375}, {"start": 240.15, "end": 240.37, "word": " ال", "probability": 0.85986328125}, {"start": 240.37, "end": 241.01, "word": " irrational", "probability": 0.94873046875}, {"start": 241.01, "end": 241.83, "word": " number", "probability": 0.94921875}, {"start": 241.83, "end": 243.07, "word": " يعني", "probability": 0.780029296875}, {"start": 243.07, "end": 243.67, "word": " ال", "probability": 0.732421875}, {"start": 243.67, "end": 243.97, "word": " set", "probability": 0.9443359375}, {"start": 243.97, "end": 244.19, "word": " of", "probability": 0.9677734375}, {"start": 244.19, "end": 244.51, "word": " real", "probability": 0.9697265625}, {"start": 244.51, "end": 245.19, "word": " numbers", "probability": 0.609375}, {"start": 245.19, "end": 245.57, "word": " هذه", "probability": 0.69287109375}, {"start": 245.57, "end": 246.23, "word": " حديها", "probability": 0.7177734375}, {"start": 246.23, "end": 246.89, "word": " الرمز", "probability": 0.9837239583333334}, {"start": 246.89, "end": 247.71, "word": " capital", "probability": 0.77978515625}, {"start": 247.71, "end": 248.33, "word": " R", "probability": 0.92431640625}], "temperature": 1.0}, {"id": 12, "seek": 27358, "start": 249.53, "end": 273.59, "text": "يبقى من حد ما نشوف capital R في الكتاب اللي عندنا يبقى the set of real numbers مجموعة الأعداد الحقيقية الصحيحة و غير الصحيحة نسبية و غير النسبية بيجينا بعد هيك الأخيرة اللي هو the set of complex numbers complex numbers", "tokens": [1829, 3555, 4587, 7578, 9154, 11331, 3215, 19446, 8717, 8592, 38688, 4238, 497, 8978, 33251, 2655, 16758, 13672, 1829, 43242, 8315, 7251, 3555, 4587, 7578, 264, 992, 295, 957, 3547, 3714, 7435, 2304, 2407, 27884, 16247, 22488, 18513, 21542, 38436, 4587, 10632, 31767, 5016, 1829, 5016, 3660, 4032, 32771, 13546, 31767, 5016, 1829, 5016, 3660, 8717, 35457, 10632, 4032, 32771, 13546, 28239, 35457, 10632, 4724, 1829, 7435, 1829, 8315, 39182, 39896, 4117, 16247, 9778, 48923, 13672, 1829, 31439, 264, 992, 295, 3997, 3547, 3997, 3547], "avg_logprob": -0.1698764534883721, "compression_ratio": 1.7526315789473683, "no_speech_prob": 0.0, "words": [{"start": 249.53, "end": 249.95, "word": "يبقى", "probability": 0.84228515625}, {"start": 249.95, "end": 250.03, "word": " من", "probability": 0.65185546875}, {"start": 250.03, "end": 250.35, "word": " حد", "probability": 0.522216796875}, {"start": 250.35, "end": 250.47, "word": " ما", "probability": 0.97314453125}, {"start": 250.47, "end": 250.77, "word": " نشوف", "probability": 0.6962076822916666}, {"start": 250.77, "end": 251.33, "word": " capital", "probability": 0.274169921875}, {"start": 251.33, "end": 251.67, "word": " R", "probability": 0.85693359375}, {"start": 251.67, "end": 251.85, "word": " في", "probability": 0.86572265625}, {"start": 251.85, "end": 252.33, "word": " الكتاب", "probability": 0.9793294270833334}, {"start": 252.33, "end": 252.49, "word": " اللي", "probability": 0.6895751953125}, {"start": 252.49, "end": 252.71, "word": " عندنا", "probability": 0.828369140625}, {"start": 252.71, "end": 253.01, "word": " يبقى", "probability": 0.9456787109375}, {"start": 253.01, "end": 253.17, "word": " the", "probability": 0.454345703125}, {"start": 253.17, "end": 253.61, "word": " set", "probability": 0.96044921875}, {"start": 253.61, "end": 254.05, "word": " of", "probability": 0.97705078125}, {"start": 254.05, "end": 254.39, "word": " real", "probability": 0.95654296875}, {"start": 254.39, "end": 255.01, "word": " numbers", "probability": 0.82373046875}, {"start": 255.01, "end": 255.63, "word": " مجموعة", "probability": 0.918359375}, {"start": 255.63, "end": 256.17, "word": " الأعداد", "probability": 0.7660319010416666}, {"start": 256.17, "end": 257.25, "word": " الحقيقية", "probability": 0.9874267578125}, {"start": 257.25, "end": 258.87, "word": " الصحيحة", "probability": 0.98046875}, {"start": 258.87, "end": 259.05, "word": " و", "probability": 0.99609375}, {"start": 259.05, "end": 259.55, "word": " غير", "probability": 0.784912109375}, {"start": 259.55, "end": 260.37, "word": " الصحيحة", "probability": 0.995703125}, {"start": 260.37, "end": 261.05, "word": " نسبية", "probability": 0.84228515625}, {"start": 261.05, "end": 261.27, "word": " و", "probability": 0.9970703125}, {"start": 261.27, "end": 261.65, "word": " غير", "probability": 0.954345703125}, {"start": 261.65, "end": 262.45, "word": " النسبية", "probability": 0.9396158854166666}, {"start": 262.45, "end": 263.67, "word": " بيجينا", "probability": 0.87099609375}, {"start": 263.67, "end": 264.01, "word": " بعد", "probability": 0.87451171875}, {"start": 264.01, "end": 264.37, "word": " هيك", "probability": 0.7216796875}, {"start": 264.37, "end": 265.37, "word": " الأخيرة", "probability": 0.9554036458333334}, {"start": 265.37, "end": 266.15, "word": " اللي", "probability": 0.93994140625}, {"start": 266.15, "end": 266.51, "word": " هو", "probability": 0.984375}, {"start": 266.51, "end": 266.97, "word": " the", "probability": 0.7705078125}, {"start": 266.97, "end": 267.61, "word": " set", "probability": 0.96142578125}, {"start": 267.61, "end": 268.81, "word": " of", "probability": 0.97607421875}, {"start": 268.81, "end": 269.97, "word": " complex", "probability": 0.90673828125}, {"start": 269.97, "end": 270.85, "word": " numbers", "probability": 0.892578125}, {"start": 270.85, "end": 272.11, "word": " complex", "probability": 0.7802734375}, {"start": 272.11, "end": 273.59, "word": " numbers", "probability": 0.89013671875}], "temperature": 1.0}, {"id": 13, "seek": 30110, "start": 275.06, "end": 301.1, "text": "مجموعة الأعداد المركبة أو مجموعة الأعداد التخيلية يبقى هذه the set of all elements a زائد bi بحيث أن ال a وال b موجودة في R وفي نفس الوقت ال I يسوى الجذر التربيع لمين لسالب واحد", "tokens": [2304, 7435, 2304, 2407, 27884, 16247, 22488, 18513, 9673, 31747, 49401, 34051, 3714, 7435, 2304, 2407, 27884, 16247, 22488, 18513, 16712, 9778, 26895, 10632, 7251, 3555, 4587, 7578, 29538, 264, 992, 295, 439, 4959, 257, 30767, 16373, 3215, 3228, 4724, 5016, 1829, 12984, 14739, 2423, 257, 16070, 272, 3714, 29245, 23328, 3660, 8978, 497, 4032, 41185, 8717, 36178, 2423, 30543, 2655, 2423, 286, 7251, 3794, 2407, 7578, 25724, 8848, 2288, 16712, 2288, 21292, 3615, 32767, 9957, 5296, 3794, 6027, 3555, 36764, 24401], "avg_logprob": -0.1825112941035305, "compression_ratio": 1.5869565217391304, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 275.06, "end": 276.0, "word": "مجموعة", "probability": 0.9109375}, {"start": 276.0, "end": 276.92, "word": " الأعداد", "probability": 0.9108072916666666}, {"start": 276.92, "end": 277.94, "word": " المركبة", "probability": 0.815673828125}, {"start": 277.94, "end": 278.4, "word": " أو", "probability": 0.84765625}, {"start": 278.4, "end": 279.16, "word": " مجموعة", "probability": 0.9044921875}, {"start": 279.16, "end": 279.88, "word": " الأعداد", "probability": 0.9547526041666666}, {"start": 279.88, "end": 281.26, "word": " التخيلية", "probability": 0.8924560546875}, {"start": 281.26, "end": 282.46, "word": " يبقى", "probability": 0.95556640625}, {"start": 282.46, "end": 282.86, "word": " هذه", "probability": 0.7236328125}, {"start": 282.86, "end": 283.24, "word": " the", "probability": 0.416015625}, {"start": 283.24, "end": 283.6, "word": " set", "probability": 0.966796875}, {"start": 283.6, "end": 284.0, "word": " of", "probability": 0.9775390625}, {"start": 284.0, "end": 284.4, "word": " all", "probability": 0.95849609375}, {"start": 284.4, "end": 285.16, "word": " elements", "probability": 0.8935546875}, {"start": 285.16, "end": 285.7, "word": " a", "probability": 0.474365234375}, {"start": 285.7, "end": 286.88, "word": " زائد", "probability": 0.66241455078125}, {"start": 286.88, "end": 287.6, "word": " bi", "probability": 0.426025390625}, {"start": 287.6, "end": 288.68, "word": " بحيث", "probability": 0.982421875}, {"start": 288.68, "end": 289.1, "word": " أن", "probability": 0.6826171875}, {"start": 289.1, "end": 289.98, "word": " ال", "probability": 0.9072265625}, {"start": 289.98, "end": 290.46, "word": " a", "probability": 0.80078125}, {"start": 290.46, "end": 291.06, "word": " وال", "probability": 0.560546875}, {"start": 291.06, "end": 291.5, "word": " b", "probability": 0.490234375}, {"start": 291.5, "end": 292.84, "word": " موجودة", "probability": 0.9842529296875}, {"start": 292.84, "end": 293.18, "word": " في", "probability": 0.9609375}, {"start": 293.18, "end": 293.66, "word": " R", "probability": 0.65625}, {"start": 293.66, "end": 294.42, "word": " وفي", "probability": 0.928466796875}, {"start": 294.42, "end": 294.88, "word": " نفس", "probability": 0.997802734375}, {"start": 294.88, "end": 295.92, "word": " الوقت", "probability": 0.98681640625}, {"start": 295.92, "end": 296.26, "word": " ال", "probability": 0.91015625}, {"start": 296.26, "end": 296.74, "word": " I", "probability": 0.55126953125}, {"start": 296.74, "end": 297.34, "word": " يسوى", "probability": 0.8428955078125}, {"start": 297.34, "end": 297.9, "word": " الجذر", "probability": 0.9334309895833334}, {"start": 297.9, "end": 298.66, "word": " التربيع", "probability": 0.7857666015625}, {"start": 298.66, "end": 299.24, "word": " لمين", "probability": 0.7017822265625}, {"start": 299.24, "end": 300.64, "word": " لسالب", "probability": 0.72613525390625}, {"start": 300.64, "end": 301.1, "word": " واحد", "probability": 0.78662109375}], "temperature": 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"compression_ratio": 1.8029556650246306, "no_speech_prob": 0.0, "words": [{"start": 303.16, "end": 303.58, "word": "يبقى", "probability": 0.8951416015625}, {"start": 303.58, "end": 303.94, "word": " بيان", "probability": 0.91357421875}, {"start": 303.94, "end": 304.22, "word": " اقول", "probability": 0.5517578125}, {"start": 304.22, "end": 304.66, "word": " زمان", "probability": 0.7285563151041666}, {"start": 304.66, "end": 304.78, "word": " في", "probability": 0.8544921875}, {"start": 304.78, "end": 305.36, "word": " الثانوية", "probability": 0.94580078125}, {"start": 305.36, "end": 306.46, "word": " العامة", "probability": 0.9560546875}, {"start": 306.46, "end": 306.72, "word": " العدو", "probability": 0.5945638020833334}, {"start": 306.72, "end": 307.2, "word": " الموركة", "probability": 0.7115478515625}, {"start": 307.2, "end": 307.76, "word": " بالـC", "probability": 0.4857584635416667}, {"start": 307.76, "end": 308.36, "word": " زائد", "probability": 0.6573893229166666}, 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هذه شو العلاقة بين N و Z ده؟", "tokens": [12, 16, 7251, 3555, 4587, 7578, 31439, 25724, 3215, 2288, 7578, 16712, 25513, 10632, 30731, 5551, 2304, 10943, 5296, 39184, 12, 16, 11933, 1829, 8592, 39894, 15040, 5016, 19913, 14407, 15844, 2423, 1386, 33962, 2304, 3794, 3660, 13672, 1829, 43242, 8315, 29538, 13412, 2407, 18863, 15040, 28671, 49374, 426, 4032, 1176, 11778, 3224, 22807], "avg_logprob": -0.3821022781458768, "compression_ratio": 1.3576642335766422, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 329.33, "end": 330.21, "word": "-1", "probability": 0.4363250732421875}, {"start": 330.21, "end": 330.49, "word": " يبقى", "probability": 0.67572021484375}, {"start": 330.49, "end": 330.67, "word": " هو", "probability": 0.417724609375}, {"start": 330.67, "end": 331.15, "word": " الجدرى", "probability": 0.77667236328125}, {"start": 331.15, "end": 331.69, "word": " التربية", "probability": 0.7764485677083334}, {"start": 331.69, "end": 331.87, "word": " إلى", "probability": 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"probability": 0.91064453125}], "temperature": 1.0}, {"id": 31, "seek": 73446, "start": 707.96, "end": 734.46, "text": "a multiple of is a multiple of an integer T if there is if there is if there is", "tokens": [64, 3866, 295, 307, 257, 3866, 295, 364, 24922, 314, 498, 456, 307, 498, 456, 307, 498, 456, 307], "avg_logprob": -0.30898438543081286, "compression_ratio": 1.490566037735849, "no_speech_prob": 0.0, "words": [{"start": 707.96, "end": 708.52, "word": "a", "probability": 0.04718017578125}, {"start": 708.52, "end": 709.66, "word": " multiple", "probability": 0.92431640625}, {"start": 709.66, "end": 712.26, "word": " of", "probability": 0.9765625}, {"start": 712.26, "end": 716.36, "word": " is", "probability": 0.47900390625}, {"start": 716.36, "end": 716.78, "word": " a", "probability": 0.95458984375}, {"start": 716.78, "end": 717.32, "word": " multiple", "probability": 0.92333984375}, {"start": 717.32, "end": 718.42, "word": " of", "probability": 0.98486328125}, {"start": 718.42, 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"end": 753.69, "text": "and integer U such that بحيث ان ال S بدها تساوي T في ال U", "tokens": [474, 24922, 624, 1270, 300, 4724, 5016, 1829, 12984, 16472, 2423, 318, 47525, 11296, 6055, 3794, 995, 45865, 314, 8978, 2423, 624], "avg_logprob": -0.2561141356177952, "compression_ratio": 1.0, "no_speech_prob": 0.0, "words": [{"start": 737.99, "end": 738.65, "word": "and", "probability": 0.1636962890625}, {"start": 738.65, "end": 740.67, "word": " integer", "probability": 0.7412109375}, {"start": 740.67, "end": 742.77, "word": " U", "probability": 0.50537109375}, {"start": 742.77, "end": 744.59, "word": " such", "probability": 0.77685546875}, {"start": 744.59, "end": 746.31, "word": " that", "probability": 0.9599609375}, {"start": 746.31, "end": 748.09, "word": " بحيث", "probability": 0.9208984375}, {"start": 748.09, "end": 748.57, "word": " ان", "probability": 0.50341796875}, {"start": 748.57, "end": 749.83, "word": " ال", "probability": 0.81982421875}, {"start": 749.83, "end": 750.45, 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"end": 786.8, "word": " three", "probability": 0.53125}, {"start": 786.8, "end": 787.58, "word": " definitions", "probability": 0.9443359375}, {"start": 787.58, "end": 788.94, "word": " أساسية", "probability": 0.9693603515625}, {"start": 788.94, "end": 789.88, "word": " لها", "probability": 0.974365234375}, {"start": 789.88, "end": 790.12, "word": " ما", "probability": 0.93115234375}, {"start": 790.12, "end": 790.66, "word": " بعدها", "probability": 0.973876953125}, {"start": 790.66, "end": 791.2, "word": " أثناء", "probability": 0.952880859375}, {"start": 791.2, "end": 792.04, "word": " دراستنا", "probability": 0.97705078125}], "temperature": 1.0}, {"id": 34, "seek": 81371, "start": 792.55, "end": 813.71, "text": "بنجي للتعريف الأول بدنا نعرف العدد الذي يقسم عدد أخر شو معناه رياضيا التعريف التاني بتكلم عن الأعداد الأولية التعريف التالف يتكلم عن مضاعفات الأعداد اللي هو في شبه بينه بين التعريف الأول إلى حد ما", "tokens": [3555, 1863, 7435, 1829, 24976, 2655, 3615, 16572, 5172, 16247, 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"word": " أبصر", "probability": 0.836669921875}, {"start": 941.24, "end": 941.4, "word": " في", "probability": 0.7607421875}, {"start": 941.4, "end": 941.7, "word": " مين", "probability": 0.507080078125}, {"start": 941.7, "end": 943.2, "word": " ما", "probability": 0.10479736328125}, {"start": 943.2, "end": 943.86, "word": " هو", "probability": 0.59765625}, {"start": 943.86, "end": 944.76, "word": " الرقم", "probability": 0.9755859375}, {"start": 944.76, "end": 945.26, "word": " اللي", "probability": 0.767578125}, {"start": 945.26, "end": 945.76, "word": " نرغب", "probability": 0.72943115234375}, {"start": 945.76, "end": 945.88, "word": " أن", "probability": 0.30712890625}, {"start": 945.88, "end": 945.88, "word": " يكون", "probability": 0.67529296875}, {"start": 945.88, "end": 945.9, "word": " في", "probability": 0.646484375}, {"start": 945.9, "end": 946.36, "word": " ستة", "probability": 0.86572265625}, {"start": 946.36, "end": 947.3, "word": " سالب", "probability": 0.679443359375}, {"start": 947.3, "end": 947.96, "word": " تلاتين", "probability": 0.9744873046875}, {"start": 947.96, "end": 948.64, "word": " واضح", "probability": 0.8865559895833334}, {"start": 948.64, "end": 948.92, "word": " أنه", "probability": 0.5439453125}, {"start": 948.92, "end": 950.66, "word": " سالب", "probability": 0.7053629557291666}, {"start": 950.66, "end": 951.52, "word": " خمسة", "probability": 0.9671630859375}, {"start": 951.52, "end": 952.14, "word": " كذلك", "probability": 0.9259440104166666}], "temperature": 1.0}, {"id": 41, "seek": 96695, "start": 952.79, "end": 966.95, "text": "طيب يبقى في هذه الحالة بروح نكتب انه ستة بتقسم التلاتين لكن هل الستة بتقسم مثلا اللي هو ستة وعشرين مثلا؟", "tokens": [9566, 1829, 3555, 7251, 3555, 4587, 7578, 8978, 29538, 21542, 6027, 3660, 4724, 32887, 5016, 8717, 4117, 2655, 3555, 16472, 3224, 8608, 2655, 3660, 39894, 4587, 38251, 16712, 1211, 9307, 9957, 44381, 8032, 1211, 21136, 2655, 3660, 39894, 4587, 38251, 50113, 15040, 13672, 1829, 31439, 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"text": "تقسمه؟ لأ يبقى برف أكتب الستة لا تقسم اللي هو من الستة وعشرين لإنه لا يمكن ألاقي انتجار عدد صحيح أضربه في الستة يطلع الجواب قد ستة وعشرين مافيش عندى بالمرة في هذه الحالة طيب", "tokens": [2655, 4587, 38251, 3224, 22807, 5296, 10721, 7251, 3555, 4587, 7578, 4724, 28480, 5551, 4117, 2655, 3555, 21136, 2655, 3660, 20193, 6055, 4587, 38251, 13672, 1829, 31439, 9154, 21136, 2655, 3660, 4032, 3615, 46309, 9957, 5296, 28814, 1863, 3224, 20193, 7251, 43020, 5551, 15040, 38436, 16472, 2655, 7435, 9640, 6225, 3215, 3215, 20328, 5016, 1829, 5016, 5551, 11242, 25513, 3224, 8978, 21136, 2655, 3660, 7251, 9566, 1211, 3615, 25724, 14407, 3555, 12174, 3215, 8608, 2655, 3660, 4032, 3615, 46309, 9957, 19446, 41185, 8592, 43242, 7578, 20666, 2304, 25720, 8978, 29538, 21542, 6027, 3660, 23032, 1829, 3555], "avg_logprob": -0.22358246931095713, "compression_ratio": 1.7430167597765363, "no_speech_prob": 5.662441253662109e-06, "words": [{"start": 969.69, "end": 970.63, "word": "تقسمه؟", "probability": 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{"start": 976.87, "end": 977.61, "word": " لإنه", "probability": 0.7857666015625}, {"start": 977.61, "end": 977.83, "word": " لا", "probability": 0.7783203125}, {"start": 977.83, "end": 978.49, "word": " يمكن", "probability": 0.946533203125}, {"start": 978.49, "end": 979.15, "word": " ألاقي", "probability": 0.8663736979166666}, {"start": 979.15, "end": 980.23, "word": " انتجار", "probability": 0.8482666015625}, {"start": 980.23, "end": 980.73, "word": " عدد", "probability": 0.9259440104166666}, {"start": 980.73, "end": 981.47, "word": " صحيح", "probability": 0.9949951171875}, {"start": 981.47, "end": 982.37, "word": " أضربه", "probability": 0.9300537109375}, {"start": 982.37, "end": 982.47, "word": " في", "probability": 0.9609375}, {"start": 982.47, "end": 982.91, "word": " الستة", "probability": 0.94873046875}, {"start": 982.91, "end": 983.27, "word": " يطلع", "probability": 0.9635009765625}, {"start": 983.27, "end": 983.67, "word": " الجواب", "probability": 0.8727213541666666}, 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تفرج عندي، يبقى هذا معنى مضاعفات العدد", "tokens": [6027, 3615, 46309, 9957, 31439, 3714, 11242, 45761, 5172, 9307, 16247, 25513, 27884, 12399, 32767, 45636, 995, 22807, 5296, 33456, 18863, 46309, 9957, 8608, 1829, 30544, 14407, 5551, 25513, 27884, 8978, 12602, 4587, 2304, 25961, 33962, 2304, 3794, 3660, 12399, 18863, 3215, 3215, 8717, 995, 4587, 9381, 6055, 1211, 9307, 9957, 31439, 3714, 11242, 45761, 5172, 9307, 21136, 2655, 3660, 12399, 32767, 45636, 995, 22807, 5296, 33456, 8717, 995, 4587, 9381, 6055, 1211, 9307, 9957, 31439, 8608, 2655, 3660, 8978, 9154, 22807, 8978, 8717, 995, 4587, 9381, 16490, 2304, 3794, 3660, 12399, 7251, 3555, 4587, 7578, 18863, 3215, 3215, 7251, 9566, 1211, 3615, 3714, 29245, 3660, 12399, 16070, 43761, 8608, 19528, 12399, 20193, 6055, 5172, 47341, 18871, 16254, 12399, 7251, 3555, 4587, 7578, 23758, 20449, 1863, 7578, 3714, 11242, 45761, 5172, 9307, 18863, 3215, 3215], "avg_logprob": -0.23448989452684627, "compression_ratio": 2.2864583333333335, 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1.0}, {"id": 54, "seek": 125264, "start": 1242.86, "end": 1252.64, "text": "يبقى هذا المثال اللي عندنا طيب إيش رأيك؟ أي عدد عندى بيقسم ال zero ولا لأ؟", "tokens": [1829, 3555, 4587, 7578, 23758, 9673, 12984, 6027, 13672, 1829, 43242, 8315, 23032, 1829, 3555, 11933, 1829, 8592, 12602, 10721, 1829, 4117, 22807, 36632, 6225, 3215, 3215, 43242, 7578, 4724, 1829, 4587, 38251, 2423, 4018, 49429, 5296, 10721, 22807], "avg_logprob": -0.2148437462747097, "compression_ratio": 1.2403846153846154, "no_speech_prob": 0.0, "words": [{"start": 1242.86, "end": 1243.42, "word": "يبقى", "probability": 0.739288330078125}, {"start": 1243.42, "end": 1243.72, "word": " هذا", "probability": 0.90673828125}, {"start": 1243.72, "end": 1244.56, "word": " المثال", "probability": 0.9622395833333334}, {"start": 1244.56, "end": 1244.98, "word": " اللي", "probability": 0.79296875}, {"start": 1244.98, "end": 1245.4, "word": " عندنا", "probability": 0.955322265625}, {"start": 1245.4, "end": 1247.46, "word": " طيب", 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Zero إذا أي رقم عندي صحيح بيقسم مين؟ بيقسم Zero صحيح ولا غير صحيح حتى لو كان real number لكن مادام نتكلم في integers يبقى كلامنا على ال integers يبقى اتنين هنا بقدر اقول every non zero integer every non zero", "tokens": [6027, 9778, 2304, 3794, 9957, 39894, 4587, 38251, 17182, 49429, 20193, 22807, 17182, 15844, 16490, 2304, 3794, 9957, 39894, 3794, 2407, 7578, 17182, 11933, 15730, 36632, 12602, 4587, 2304, 18871, 16254, 20328, 5016, 1829, 5016, 4724, 1829, 4587, 38251, 3714, 9957, 22807, 4724, 1829, 4587, 38251, 17182, 20328, 5016, 1829, 5016, 49429, 32771, 13546, 20328, 5016, 1829, 5016, 11331, 49975, 45164, 25961, 957, 1230, 44381, 3714, 18513, 10943, 8717, 2655, 4117, 19528, 8978, 41674, 7251, 3555, 4587, 7578, 28242, 10943, 8315, 15844, 2423, 41674, 7251, 3555, 4587, 7578, 1975, 2655, 1863, 9957, 34105, 4724, 28543, 2288, 1975, 39648, 633, 2107, 4018, 24922, 633, 2107, 4018], "avg_logprob": -0.26739385752183087, "compression_ratio": 1.7716894977168949, "no_speech_prob": 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0.85699462890625}, {"start": 1756.24, "end": 1756.84, "word": " اعداد", "probability": 0.9140625}, {"start": 1756.84, "end": 1757.62, "word": " صحيحة", "probability": 0.92763671875}, {"start": 1757.62, "end": 1757.92, "word": " وb", "probability": 0.6063232421875}, {"start": 1757.92, "end": 1758.44, "word": " دائما", "probability": 0.9521484375}, {"start": 1758.44, "end": 1758.98, "word": " وابدا", "probability": 0.81982421875}, {"start": 1758.98, "end": 1759.4, "word": " ماله", "probability": 0.751708984375}], "temperature": 1.0}, {"id": 72, "seek": 178173, "start": 1759.81, "end": 1781.73, "text": "أكبر من الـ zero يبقى أخدت أعداد صحية ب أكبر من ال zero هل اشترت a أكبر من ال zero ليس بالضرورة ممكن يكون ال a بالسالم لكن بي بديها بالموجة then there will exist a unique integers هلاجي عددين وحيدين مافيش غيرهم", "tokens": [10721, 4117, 26890, 9154, 2423, 39184, 4018, 7251, 3555, 4587, 7578, 5551, 9778, 3215, 2655, 5551, 22488, 18513, 20328, 5016, 10632, 4724, 5551, 4117, 26890, 9154, 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أخدت", "probability": 0.789306640625}, {"start": 1763.37, "end": 1763.77, "word": " أعداد", "probability": 0.7967122395833334}, {"start": 1763.77, "end": 1764.17, "word": " صحية", "probability": 0.9417317708333334}, {"start": 1764.17, "end": 1764.45, "word": " ب", "probability": 0.56787109375}, {"start": 1764.45, "end": 1765.21, "word": " أكبر", "probability": 0.8597005208333334}, {"start": 1765.21, "end": 1765.41, "word": " من", "probability": 0.99560546875}, {"start": 1765.41, "end": 1765.55, "word": " ال", "probability": 0.93701171875}, {"start": 1765.55, "end": 1765.77, "word": " zero", "probability": 0.61572265625}, {"start": 1765.77, "end": 1766.09, "word": " هل", "probability": 0.920166015625}, {"start": 1766.09, "end": 1766.79, "word": " اشترت", "probability": 0.9168701171875}, {"start": 1766.79, "end": 1767.29, "word": " a", "probability": 0.66455078125}, {"start": 1767.29, "end": 1767.85, "word": " أكبر", "probability": 0.9669596354166666}, {"start": 1767.85, "end": 1768.05, "word": " من", "probability": 0.9931640625}, {"start": 1768.05, "end": 1768.13, "word": " ال", "probability": 0.86474609375}, {"start": 1768.13, "end": 1768.43, "word": " zero", "probability": 0.8984375}, {"start": 1768.43, "end": 1769.25, "word": " ليس", "probability": 0.806396484375}, {"start": 1769.25, "end": 1769.87, "word": " بالضرورة", "probability": 0.853125}, {"start": 1769.87, "end": 1770.23, "word": " ممكن", "probability": 0.9443359375}, {"start": 1770.23, "end": 1770.63, "word": " يكون", "probability": 0.979736328125}, {"start": 1770.63, "end": 1770.85, "word": " ال", "probability": 0.85595703125}, {"start": 1770.85, "end": 1771.31, "word": " a", "probability": 0.9150390625}, {"start": 1771.31, "end": 1772.31, "word": " بالسالم", "probability": 0.6671549479166666}, {"start": 1772.31, "end": 1773.03, "word": " لكن", "probability": 0.82763671875}, {"start": 1773.03, "end": 1773.37, "word": " بي", "probability": 0.6904296875}, {"start": 1773.37, "end": 1773.83, "word": " 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2541.43, "end": 2542.11, "word": " تمانية", "probability": 0.96826171875}, {"start": 2542.11, "end": 2543.21, "word": " طيب", "probability": 0.8787434895833334}, {"start": 2543.21, "end": 2543.93, "word": " هذا", "probability": 0.88818359375}, {"start": 2543.93, "end": 2545.05, "word": " المثال", "probability": 0.9521484375}, {"start": 2545.05, "end": 2545.93, "word": " الأول", "probability": 0.744140625}, {"start": 2545.93, "end": 2546.99, "word": " بدأجي", "probability": 0.58837890625}, {"start": 2546.99, "end": 2547.65, "word": " لمثال", "probability": 0.8638916015625}, {"start": 2547.65, "end": 2548.19, "word": " ثاني", "probability": 0.9622395833333334}], "temperature": 1.0}, {"id": 104, "seek": 256277, "start": 2549.95, "end": 2562.77, "text": "بدي أجيبلك على حكاية إيه relatively prime لو جيت قولتلك الآن ل greatest common divisor لتلاتة وسبعة قد إيش؟", "tokens": [3555, 16254, 5551, 7435, 1829, 3555, 23275, 15844, 11331, 4117, 995, 10632, 11933, 1829, 3224, 7226, 5835, 45164, 10874, 36081, 12174, 12610, 2655, 23275, 6024, 48506, 5296, 6636, 2689, 25974, 284, 5296, 2655, 1211, 9307, 3660, 4032, 35457, 27884, 12174, 3215, 11933, 1829, 8592, 22807], "avg_logprob": -0.40183423977831134, "compression_ratio": 1.1764705882352942, "no_speech_prob": 0.0, "words": [{"start": 2549.95, "end": 2550.31, "word": "بدي", "probability": 0.258209228515625}, {"start": 2550.31, "end": 2550.75, "word": " أجيبلك", "probability": 0.76494140625}, {"start": 2550.75, "end": 2550.93, "word": " على", "probability": 0.7607421875}, {"start": 2550.93, "end": 2551.37, "word": " حكاية", "probability": 0.9495849609375}, {"start": 2551.37, "end": 2551.79, "word": " إيه", "probability": 0.7109781901041666}, {"start": 2551.79, "end": 2552.81, "word": " relatively", "probability": 0.35205078125}, {"start": 2552.81, "end": 2553.79, "word": " prime", "probability": 0.880859375}, {"start": 2553.79, "end": 2554.47, "word": " لو", "probability": 0.7119140625}, {"start": 2554.47, "end": 2554.79, "word": " جيت", "probability": 0.897216796875}, {"start": 2554.79, "end": 2555.45, "word": " قولتلك", "probability": 0.75238037109375}, {"start": 2555.45, "end": 2556.11, "word": " الآن", "probability": 0.644287109375}, {"start": 2556.11, "end": 2556.73, "word": " ل", "probability": 0.261474609375}, {"start": 2556.73, "end": 2557.37, "word": " greatest", "probability": 0.384033203125}, {"start": 2557.37, "end": 2558.11, "word": " common", "probability": 0.9521484375}, {"start": 2558.11, "end": 2559.27, "word": " divisor", "probability": 0.977783203125}, {"start": 2559.27, "end": 2560.69, "word": " لتلاتة", "probability": 0.8068359375}, {"start": 2560.69, "end": 2561.43, "word": " وسبعة", "probability": 0.830078125}, {"start": 2561.43, "end": 2562.13, "word": " قد", "probability": 0.573486328125}, {"start": 2562.13, "end": 2562.77, "word": " إيش؟", "probability": 0.78564453125}], "temperature": 1.0}, {"id": 105, "seek": 259109, "start": 2563.65, "end": 2591.09, "text": "في غيره؟ في غيره؟ لأ يبقى هذا يساوي الواحد because التلاتة and السبعة are primes مش relatively primes تمام؟ but ولكن ال aggressives common divisors للأربعة والسبعة مثلا كدهش؟", "tokens": [41185, 32771, 13546, 3224, 22807, 8978, 32771, 13546, 3224, 22807, 5296, 10721, 7251, 3555, 4587, 7578, 23758, 7251, 3794, 995, 45865, 2423, 14407, 24401, 570, 16712, 1211, 9307, 3660, 293, 21136, 3555, 27884, 366, 2886, 279, 37893, 7226, 2886, 279, 46811, 10943, 22807, 457, 35525, 19452, 2423, 623, 3091, 1539, 2689, 25974, 830, 24976, 10721, 25513, 27884, 16070, 35457, 27884, 50113, 15040, 9122, 3215, 3224, 8592, 22807], "avg_logprob": -0.22369026063996203, "compression_ratio": 1.4120879120879122, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2563.65, "end": 2564.03, "word": "في", "probability": 0.55078125}, {"start": 2564.03, "end": 2565.47, "word": " غيره؟", "probability": 0.88818359375}, {"start": 2565.47, "end": 2565.69, "word": " في", "probability": 0.78857421875}, {"start": 2565.69, "end": 2566.71, "word": " غيره؟", "probability": 0.9794921875}, {"start": 2566.71, "end": 2567.17, "word": " لأ", "probability": 0.931884765625}, {"start": 2567.17, "end": 2568.03, "word": " يبقى", "probability": 0.921142578125}, {"start": 2568.03, "end": 2568.45, "word": " هذا", "probability": 0.90185546875}, {"start": 2568.45, "end": 2569.15, "word": " يساوي", "probability": 0.88134765625}, {"start": 2569.15, "end": 2569.81, "word": " الواحد", "probability": 0.94580078125}, {"start": 2569.81, "end": 2570.91, "word": " because", "probability": 0.70849609375}, {"start": 2570.91, "end": 2573.53, "word": " التلاتة", "probability": 0.952880859375}, {"start": 2573.53, "end": 2573.93, "word": " and", "probability": 0.95458984375}, {"start": 2573.93, "end": 2575.49, "word": " السبعة", "probability": 0.9231770833333334}, {"start": 2575.49, "end": 2576.51, "word": " are", "probability": 0.93994140625}, {"start": 2576.51, "end": 2578.01, "word": " primes", "probability": 0.671630859375}, {"start": 2578.01, "end": 2578.91, "word": " مش", "probability": 0.94140625}, {"start": 2578.91, "end": 2579.69, "word": " relatively", "probability": 0.62841796875}, {"start": 2579.69, "end": 2580.93, "word": " primes", "probability": 0.732666015625}, {"start": 2580.93, "end": 2582.13, "word": " تمام؟", "probability": 0.7638346354166666}, {"start": 2582.13, "end": 2582.71, "word": " but", "probability": 0.86962890625}, {"start": 2582.71, "end": 2584.03, "word": " ولكن", "probability": 0.779296875}, {"start": 2584.03, "end": 2585.19, "word": " ال", "probability": 0.52490234375}, {"start": 2585.19, "end": 2585.93, "word": " aggressives", "probability": 0.3791910807291667}, {"start": 2585.93, "end": 2586.35, "word": " common", "probability": 0.85595703125}, {"start": 2586.35, "end": 2587.09, "word": " divisors", "probability": 0.94140625}, {"start": 2587.09, "end": 2588.21, "word": " للأربعة", "probability": 0.869140625}, {"start": 2588.21, "end": 2589.05, "word": " والسبعة", "probability": 0.921875}, {"start": 2589.05, "end": 2589.59, "word": " مثلا", "probability": 0.94140625}, {"start": 2589.59, "end": 2591.09, "word": " كدهش؟", "probability": 0.672021484375}], "temperature": 1.0}, {"id": 106, "seek": 261046, "start": 2591.63, "end": 2610.47, "text": "في شغيره هو الواحد الوحيد اللي بيقسم العددين الاتنين هدول يبقى يساوي واحد هل الأربعة prime number لكن الأربعة والسبعة بالنسبة لبعض يعتبروا ايش prime يبقى are relatively prime يبقى هنا because", "tokens": [41185, 13412, 17082, 13546, 3224, 31439, 2423, 14407, 24401, 2423, 2407, 5016, 25708, 13672, 1829, 4724, 1829, 4587, 38251, 18863, 3215, 3215, 9957, 2423, 9307, 1863, 9957, 8032, 3215, 12610, 7251, 3555, 4587, 7578, 7251, 3794, 995, 45865, 36764, 24401, 8032, 1211, 16247, 25513, 27884, 5835, 1230, 44381, 16247, 25513, 27884, 16070, 35457, 27884, 20666, 1863, 35457, 3660, 5296, 3555, 3615, 11242, 7251, 34268, 26890, 14407, 1975, 1829, 8592, 5835, 7251, 3555, 4587, 7578, 366, 7226, 5835, 7251, 3555, 4587, 7578, 34105, 570], "avg_logprob": -0.24237351403349922, "compression_ratio": 1.6756756756756757, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 2591.63, "end": 2591.83, "word": "في", "probability": 0.12091064453125}, {"start": 2591.83, "end": 2592.65, "word": " شغيره", "probability": 0.77044677734375}, {"start": 2592.65, "end": 2593.59, "word": " هو", "probability": 0.9345703125}, {"start": 2593.59, "end": 2594.29, "word": " الواحد", "probability": 0.958984375}, {"start": 2594.29, "end": 2594.89, "word": " الوحيد", "probability": 0.8646240234375}, {"start": 2594.89, "end": 2595.09, "word": " اللي", "probability": 0.86083984375}, {"start": 2595.09, "end": 2595.55, "word": " بيقسم", "probability": 0.8931884765625}, {"start": 2595.55, "end": 2596.21, "word": " العددين", "probability": 0.8709716796875}, {"start": 2596.21, "end": 2596.81, "word": " الاتنين", "probability": 0.7845458984375}, {"start": 2596.81, "end": 2597.41, "word": " هدول", "probability": 0.79833984375}, {"start": 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0.9344482421875}, {"start": 2604.59, "end": 2605.25, "word": " يعتبروا", "probability": 0.79180908203125}, {"start": 2605.25, "end": 2605.59, "word": " ايش", "probability": 0.7509765625}, {"start": 2605.59, "end": 2606.01, "word": " prime", "probability": 0.054412841796875}, {"start": 2606.01, "end": 2606.49, "word": " يبقى", "probability": 0.8743896484375}, {"start": 2606.49, "end": 2606.79, "word": " are", "probability": 0.72509765625}, {"start": 2606.79, "end": 2607.61, "word": " relatively", "probability": 0.6259765625}, {"start": 2607.61, "end": 2608.39, "word": " prime", "probability": 0.51708984375}, {"start": 2608.39, "end": 2609.53, "word": " يبقى", "probability": 0.972412109375}, {"start": 2609.53, "end": 2609.93, "word": " هنا", "probability": 0.98779296875}, {"start": 2609.93, "end": 2610.47, "word": " because", "probability": 0.90234375}], "temperature": 1.0}, {"id": 107, "seek": 263752, "start": 2612.92, "end": 2637.52, "text": "السبعة and الأربعة are والله الأربعة and السبعة خلينا بالترتيب ماشيين and السبعة are relatively relatively primes يبقى شايف الفرق ما بين ال prime و relatively prime ايش هتفضل", "tokens": [6027, 35457, 27884, 293, 16247, 25513, 27884, 366, 16070, 43761, 16247, 25513, 27884, 293, 21136, 3555, 27884, 16490, 1211, 9957, 995, 20666, 2655, 2288, 31371, 3555, 3714, 33599, 1829, 9957, 293, 21136, 3555, 27884, 366, 7226, 7226, 582, 1532, 7251, 3555, 4587, 7578, 13412, 995, 33911, 27188, 2288, 4587, 19446, 49374, 2423, 5835, 4032, 7226, 5835, 1975, 1829, 8592, 8032, 2655, 5172, 11242, 1211], "avg_logprob": -0.28533653846153845, "compression_ratio": 1.738255033557047, "no_speech_prob": 0.0, "words": [{"start": 2612.92, "end": 2613.96, "word": "السبعة", "probability": 0.6924641927083334}, {"start": 2613.96, "end": 2614.64, "word": " and", "probability": 0.765625}, {"start": 2614.64, "end": 2616.28, "word": " الأربعة", "probability": 0.9134114583333334}, {"start": 2616.28, "end": 2617.46, "word": " are", "probability": 0.61572265625}, {"start": 2617.46, "end": 2617.9, "word": " والله", "probability": 0.6630859375}, {"start": 2617.9, "end": 2618.5, "word": " الأربعة", "probability": 0.8922526041666666}, {"start": 2618.5, "end": 2618.72, "word": " and", "probability": 0.8818359375}, {"start": 2618.72, "end": 2619.12, "word": " السبعة", "probability": 0.8658854166666666}, {"start": 2619.12, "end": 2619.64, "word": " خلينا", "probability": 0.712646484375}, {"start": 2619.64, "end": 2620.42, "word": " بالترتيب", "probability": 0.9583984375}, {"start": 2620.42, "end": 2621.34, "word": " ماشيين", "probability": 0.8807373046875}, {"start": 2621.34, "end": 2622.12, "word": " and", "probability": 0.71728515625}, {"start": 2622.12, "end": 2623.06, "word": " السبعة", "probability": 0.9363606770833334}, {"start": 2623.06, "end": 2623.72, "word": " are", "probability": 0.92041015625}, {"start": 2623.72, "end": 2625.82, "word": " relatively", "probability": 0.83935546875}, {"start": 2625.82, "end": 2629.24, "word": " relatively", "probability": 0.2734375}, {"start": 2629.24, "end": 2630.24, "word": " primes", "probability": 0.63671875}, {"start": 2630.24, "end": 2633.96, "word": " يبقى", "probability": 0.8868408203125}, {"start": 2633.96, "end": 2634.28, "word": " شايف", "probability": 0.96044921875}, {"start": 2634.28, "end": 2634.84, "word": " الفرق", "probability": 0.9676106770833334}, {"start": 2634.84, "end": 2635.26, "word": " ما", "probability": 0.89404296875}, {"start": 2635.26, "end": 2635.44, "word": " بين", "probability": 0.98779296875}, {"start": 2635.44, "end": 2635.6, "word": " ال", "probability": 0.95458984375}, {"start": 2635.6, "end": 2635.9, "word": " prime", "probability": 0.576171875}, {"start": 2635.9, "end": 2636.06, "word": " و", "probability": 0.9755859375}, {"start": 2636.06, "end": 2636.5, "word": " relatively", "probability": 0.69970703125}, {"start": 2636.5, "end": 2636.78, "word": " prime", "probability": 0.5673828125}, {"start": 2636.78, "end": 2636.98, "word": " ايش", "probability": 0.2785237630208333}, {"start": 2636.98, "end": 2637.52, "word": " هتفضل", "probability": 0.7791015625}], "temperature": 1.0}, {"id": 108, "seek": 265313, "start": 2643.25, "end": 2653.13, "text": "طب ما هي .. شوف في .. في غير الواحد؟ طب هو العوامل اللي هو .. هو السنة", "tokens": [9566, 3555, 19446, 39896, 4386, 13412, 38688, 8978, 4386, 8978, 32771, 13546, 2423, 14407, 24401, 22807, 23032, 3555, 31439, 18863, 2407, 10943, 1211, 13672, 1829, 31439, 4386, 31439, 21136, 1863, 3660], "avg_logprob": -0.468505852855742, "compression_ratio": 1.3295454545454546, "no_speech_prob": 5.4836273193359375e-06, "words": [{"start": 2643.25, "end": 2643.89, "word": "طب", "probability": 0.52593994140625}, {"start": 2643.89, "end": 2644.01, "word": " ما", "probability": 0.411865234375}, {"start": 2644.01, "end": 2644.15, "word": " هي", "probability": 0.76806640625}, {"start": 2644.15, "end": 2644.27, "word": " ..", "probability": 0.448486328125}, {"start": 2644.27, "end": 2644.59, "word": " شوف", "probability": 0.8583984375}, {"start": 2644.59, "end": 2644.81, "word": " في", "probability": 0.80810546875}, {"start": 2644.81, "end": 2644.81, "word": " ..", "probability": 0.346435546875}, {"start": 2644.81, "end": 2645.39, "word": " في", "probability": 0.97509765625}, {"start": 2645.39, "end": 2645.71, "word": " غير", "probability": 0.87060546875}, {"start": 2645.71, "end": 2648.97, "word": " الواحد؟", "probability": 0.81854248046875}, {"start": 2648.97, "end": 2650.81, "word": " طب", "probability": 0.6260986328125}, {"start": 2650.81, "end": 2650.99, "word": " هو", "probability": 0.83544921875}, {"start": 2650.99, "end": 2651.53, "word": " العوامل", "probability": 0.8934326171875}, {"start": 2651.53, "end": 2651.69, "word": " اللي", "probability": 0.7144775390625}, {"start": 2651.69, "end": 2651.87, "word": " هو", "probability": 0.67138671875}, {"start": 2651.87, "end": 2652.09, "word": " ..", "probability": 0.12371826171875}, {"start": 2652.09, "end": 2652.47, "word": " هو", "probability": 0.7646484375}, {"start": 2652.47, "end": 2653.13, "word": " السنة", "probability": 0.698486328125}], "temperature": 1.0}, {"id": 109, "seek": 268074, "start": 2654.54, "end": 2680.74, "text": "ممتاز جدا لك الاربعة والسبعة في اكتر طيب مافيش غيره يعني انا بعطي مثال relatively prime لك المثال اللي جابله جبت ال grasses common divisor لأي عدنى بس ماطلعش واحد طلع قداش طلع تمانية جبت الواحد والاتنين والاربعة والتمانية أخدت الكبير فيهم طبقا للتعريف تمام هنا ال grasses common divisor قد يكون واحد قد يكون واحد في كام حالة", "tokens": [2304, 2304, 2655, 31377, 10874, 28259, 5296, 4117, 2423, 9640, 3555, 27884, 16070, 35457, 27884, 8978, 1975, 4117, 2655, 2288, 23032, 1829, 3555, 19446, 41185, 8592, 32771, 13546, 3224, 37495, 22653, 1975, 8315, 4724, 3615, 9566, 1829, 50113, 6027, 7226, 5835, 5296, 4117, 9673, 12984, 6027, 13672, 1829, 10874, 16758, 43761, 10874, 3555, 2655, 2423, 49701, 2689, 25974, 284, 5296, 10721, 1829, 6225, 3215, 1863, 7578, 4724, 3794, 19446, 9566, 1211, 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" أخدت", "probability": 0.853271484375}, {"start": 2673.42, "end": 2673.84, "word": " الكبير", "probability": 0.8976236979166666}, {"start": 2673.84, "end": 2674.34, "word": " فيهم", "probability": 0.9765625}, {"start": 2674.34, "end": 2674.8, "word": " طبقا", "probability": 0.900634765625}, {"start": 2674.8, "end": 2675.64, "word": " للتعريف", "probability": 0.91533203125}, {"start": 2675.64, "end": 2676.12, "word": " تمام", "probability": 0.838134765625}, {"start": 2676.12, "end": 2676.96, "word": " هنا", "probability": 0.759765625}, {"start": 2676.96, "end": 2677.16, "word": " ال", "probability": 0.92919921875}, {"start": 2677.16, "end": 2677.44, "word": " grasses", "probability": 0.97265625}, {"start": 2677.44, "end": 2677.78, "word": " common", "probability": 0.94287109375}, {"start": 2677.78, "end": 2678.22, "word": " divisor", "probability": 0.935546875}, {"start": 2678.22, "end": 2678.46, "word": " قد", "probability": 0.98681640625}, {"start": 2678.46, "end": 2678.78, "word": " يكون", "probability": 0.963134765625}, {"start": 2678.78, "end": 2679.02, "word": " واحد", "probability": 0.9697265625}, {"start": 2679.02, "end": 2679.3, "word": " قد", "probability": 0.8857421875}, {"start": 2679.3, "end": 2679.56, "word": " يكون", "probability": 0.98583984375}, {"start": 2679.56, "end": 2679.8, "word": " واحد", "probability": 0.8916015625}, {"start": 2679.8, "end": 2679.9, "word": " في", "probability": 0.82275390625}, {"start": 2679.9, "end": 2680.22, "word": " كام", "probability": 0.8583984375}, {"start": 2680.22, "end": 2680.74, "word": " حالة", "probability": 0.9972330729166666}], "temperature": 1.0}, {"id": 110, "seek": 269864, "start": 2681.0, "end": 2698.64, "text": "بدل الحالة حالتين الحالة الأولى لو كانوا اتنين primes وفي هذه الحالة بقول اتنين primes مثلا بقول relatively prime relatively يعني في بنسب واحد بالنسبة للتانية أخدت الأربعة والسبعة أخدت الأحداشر والخمسمية مثلا", "tokens": [44510, 1211, 21542, 6027, 3660, 11331, 6027, 2655, 9957, 21542, 6027, 3660, 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بقول", "probability": 0.945556640625}, {"start": 2688.18, "end": 2688.84, "word": " relatively", "probability": 0.66259765625}, {"start": 2688.84, "end": 2689.48, "word": " prime", "probability": 0.74853515625}, {"start": 2689.48, "end": 2690.52, "word": " relatively", "probability": 0.4111328125}, {"start": 2690.52, "end": 2691.44, "word": " يعني", "probability": 0.9453125}, {"start": 2691.44, "end": 2692.02, "word": " في", "probability": 0.85693359375}, {"start": 2692.02, "end": 2692.94, "word": " بنسب", "probability": 0.828125}, {"start": 2692.94, "end": 2693.4, "word": " واحد", "probability": 0.912353515625}, {"start": 2693.4, "end": 2693.96, "word": " بالنسبة", "probability": 0.958984375}, {"start": 2693.96, "end": 2694.36, "word": " للتانية", "probability": 0.6981201171875}, {"start": 2694.36, "end": 2694.7, "word": " أخدت", "probability": 0.8736572265625}, {"start": 2694.7, "end": 2695.12, "word": " الأربعة", "probability": 0.8162434895833334}, {"start": 2695.12, "end": 2695.7, "word": " والسبعة", "probability": 0.8995768229166666}, {"start": 2695.7, "end": 2696.44, "word": " أخدت", "probability": 0.9300537109375}, {"start": 2696.44, "end": 2696.94, "word": " الأحداشر", "probability": 0.8004150390625}, {"start": 2696.94, "end": 2697.74, "word": " والخمسمية", "probability": 0.92626953125}, {"start": 2697.74, "end": 2698.64, "word": " مثلا", "probability": 0.97802734375}], "temperature": 1.0}, {"id": 111, "seek": 271320, "start": 2700.3, "end": 2713.2, "text": "مثلا تسعة و عشرة are relatively prime كلام صحيح يبقى انا خدت احداشر و اخدت الخمسمية مافيش قواصم بينهم الا الواحد الصحيح و هكذا تفضل كيف؟", "tokens": [2304, 12984, 15040, 6055, 3794, 27884, 4032, 6225, 8592, 25720, 366, 7226, 5835, 28242, 10943, 20328, 5016, 1829, 5016, 7251, 3555, 4587, 7578, 1975, 8315, 16490, 3215, 2655, 1975, 24401, 33599, 2288, 4032, 1975, 9778, 3215, 2655, 33962, 2304, 38251, 10632, 19446, 41185, 8592, 12174, 2407, 33546, 2304, 49374, 16095, 42963, 2423, 14407, 24401, 31767, 5016, 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2946.04, "end": 2946.66, "word": " positive", "probability": 0.9443359375}, {"start": 2946.66, "end": 2947.52, "word": " integer", "probability": 0.912109375}, {"start": 2947.52, "end": 2948.82, "word": " of", "probability": 0.97998046875}], "temperature": 1.0}, {"id": 120, "seek": 297803, "start": 2950.07, "end": 2978.03, "text": "reform على الشكل as زائد bt quaternary نتيجة if ال a and ال b are relatively prime", "tokens": [265, 837, 15844, 25124, 28820, 382, 30767, 16373, 3215, 272, 83, 421, 771, 77, 822, 8717, 31371, 7435, 3660, 498, 2423, 257, 293, 2423, 272, 366, 7226, 5835], "avg_logprob": -0.4410021633937441, "compression_ratio": 1.0198019801980198, "no_speech_prob": 0.0, "words": [{"start": 2950.07, "end": 2951.21, "word": "reform", "probability": 0.483642578125}, {"start": 2951.21, "end": 2952.49, "word": " على", "probability": 0.6767578125}, {"start": 2952.49, "end": 2953.27, "word": " الشكل", "probability": 0.96826171875}, {"start": 2953.27, "end": 2955.07, "word": " as", "probability": 0.375244140625}, {"start": 2955.07, "end": 2956.63, "word": " زائد", "probability": 0.5999755859375}, {"start": 2956.63, "end": 2957.91, "word": " bt", "probability": 0.686279296875}, {"start": 2957.91, "end": 2961.45, "word": " quaternary", "probability": 0.4720458984375}, {"start": 2961.45, "end": 2964.95, "word": " نتيجة", "probability": 0.8963623046875}, {"start": 2964.95, "end": 2966.33, "word": " if", "probability": 0.83056640625}, {"start": 2966.33, "end": 2968.17, "word": " ال", "probability": 0.86328125}, {"start": 2968.17, "end": 2968.65, "word": " a", "probability": 0.72705078125}, {"start": 2968.65, "end": 2970.27, "word": " and", "probability": 0.94580078125}, {"start": 2970.27, "end": 2970.55, "word": " ال", "probability": 0.79345703125}, {"start": 2970.55, "end": 2970.89, "word": " b", "probability": 0.97509765625}, {"start": 2970.89, "end": 2972.89, "word": " are", "probability": 0.953125}, {"start": 2972.89, "end": 2975.55, "word": " relatively", "probability": 0.77734375}, {"start": 2975.55, "end": 2978.03, "word": " prime", "probability": 0.68603515625}], "temperature": 1.0}, {"id": 121, "seek": 300757, "start": 2979.75, "end": 3007.57, "text": "relatively prime then there exist then there exist integers s and t s and t such that بحيث أن", "tokens": [4419, 19020, 5835, 550, 456, 2514, 550, 456, 2514, 41674, 262, 293, 256, 262, 293, 256, 1270, 300, 4724, 5016, 1829, 12984, 14739], "avg_logprob": -0.1985677145421505, "compression_ratio": 1.2375, "no_speech_prob": 0.0, "words": [{"start": 2979.75, "end": 2980.55, "word": "relatively", "probability": 0.6280517578125}, {"start": 2980.55, "end": 2981.29, "word": " prime", "probability": 0.892578125}, {"start": 2981.29, "end": 2982.77, "word": " then", "probability": 0.55078125}, {"start": 2982.77, "end": 2984.79, "word": " there", "probability": 0.85693359375}, {"start": 2984.79, "end": 2985.65, "word": " exist", "probability": 0.7734375}, {"start": 2985.65, "end": 2988.39, "word": " then", "probability": 0.65771484375}, {"start": 2988.39, "end": 2988.87, "word": " there", "probability": 0.9404296875}, {"start": 2988.87, "end": 2989.59, "word": " exist", "probability": 0.91748046875}, {"start": 2989.59, "end": 2991.43, "word": " integers", "probability": 0.95361328125}, {"start": 2991.43, "end": 2995.61, "word": " s", "probability": 0.611328125}, {"start": 2995.61, "end": 2996.07, "word": " and", "probability": 0.9287109375}, {"start": 2996.07, "end": 2996.63, "word": " t", "probability": 0.9111328125}, {"start": 2996.63, "end": 2998.73, "word": " s", "probability": 0.69873046875}, {"start": 2998.73, "end": 3000.39, "word": " and", "probability": 0.9521484375}, {"start": 3000.39, "end": 3001.03, "word": " t", "probability": 0.98828125}, {"start": 3001.03, "end": 3002.15, "word": " such", "probability": 0.951171875}, {"start": 3002.15, "end": 3003.71, "word": " that", "probability": 0.9619140625}, {"start": 3003.71, "end": 3007.15, "word": " بحيث", "probability": 0.9898681640625}, {"start": 3007.15, "end": 3007.57, "word": " أن", "probability": 0.5224609375}], "temperature": 1.0}, {"id": 122, "seek": 301678, "start": 3009.44, "end": 3016.78, "text": "الـ AS زائد ال BT يساوي كده؟ يساوي واحد", "tokens": [6027, 39184, 7469, 30767, 16373, 3215, 2423, 31144, 7251, 3794, 995, 45865, 9122, 3215, 3224, 22807, 7251, 3794, 995, 45865, 36764, 24401], "avg_logprob": -0.2635869617047517, "compression_ratio": 1.0476190476190477, "no_speech_prob": 0.0, "words": [{"start": 3009.44, "end": 3010.06, "word": "الـ", "probability": 0.602783203125}, {"start": 3010.06, "end": 3011.08, "word": " AS", "probability": 0.407470703125}, {"start": 3011.08, "end": 3012.46, "word": " زائد", "probability": 0.7203776041666666}, {"start": 3012.46, "end": 3012.68, "word": " ال", "probability": 0.92431640625}, {"start": 3012.68, "end": 3013.32, "word": " BT", "probability": 0.419921875}, {"start": 3013.32, "end": 3014.44, "word": " يساوي", "probability": 0.8604736328125}, {"start": 3014.44, "end": 3015.26, "word": " كده؟", "probability": 0.70147705078125}, {"start": 3015.26, "end": 3016.2, "word": " يساوي", "probability": 0.96630859375}, {"start": 3016.2, "end": 3016.78, "word": " واحد", "probability": 0.87890625}], "temperature": 1.0}, {"id": 123, "seek": 309053, "start": 3066.13, "end": 3090.53, "text": "طيب نرجع لنص النظرية بيقول for any non zero integers a و b يبقى انا عندي عددين صحيحين a و b there exist integers لازم الاقي عددين اخرين s and t such that the greatest common divisor لل a و ال b بدى يسوى a في ال s زائد bt ايش يعني؟", "tokens": [9566, 1829, 3555, 8717, 47341, 3615, 5296, 1863, 9381, 28239, 19913, 2288, 10632, 4724, 1829, 39648, 337, 604, 2107, 4018, 41674, 257, 4032, 272, 7251, 3555, 4587, 7578, 1975, 8315, 18871, 16254, 6225, 3215, 3215, 9957, 20328, 5016, 1829, 5016, 9957, 257, 4032, 272, 456, 2514, 41674, 5296, 31377, 2304, 1975, 15040, 38436, 6225, 3215, 3215, 9957, 1975, 34740, 9957, 262, 293, 256, 1270, 300, 264, 6636, 2689, 25974, 284, 24976, 257, 4032, 2423, 272, 47525, 7578, 7251, 3794, 2407, 7578, 257, 8978, 2423, 262, 30767, 16373, 3215, 272, 83, 1975, 1829, 8592, 37495, 22653, 22807], "avg_logprob": -0.2691688144329897, "compression_ratio": 1.4681818181818183, "no_speech_prob": 0.0, "words": [{"start": 3066.1299999999997, "end": 3066.89, "word": "طيب", "probability": 0.67791748046875}, {"start": 3066.89, "end": 3067.65, "word": " نرجع", "probability": 0.8216145833333334}, {"start": 3067.65, "end": 3068.03, "word": " لنص", "probability": 0.892578125}, {"start": 3068.03, "end": 3068.61, "word": " النظرية", "probability": 0.947265625}, {"start": 3068.61, "end": 3068.95, "word": " بيقول", "probability": 0.73388671875}, {"start": 3068.95, "end": 3069.27, "word": " for", "probability": 0.21875}, {"start": 3069.27, "end": 3069.79, "word": " any", "probability": 0.88134765625}, {"start": 3069.79, "end": 3070.11, "word": " non", "probability": 0.9638671875}, {"start": 3070.11, "end": 3070.41, "word": " zero", "probability": 0.447265625}, {"start": 3070.41, "end": 3071.03, "word": " integers", "probability": 0.951171875}, {"start": 3071.03, "end": 3071.61, "word": " a", "probability": 0.8095703125}, {"start": 3071.61, "end": 3071.95, "word": " و", "probability": 0.8125}, {"start": 3071.95, "end": 3072.27, "word": " b", "probability": 0.53857421875}, {"start": 3072.27, "end": 3072.65, "word": " يبقى", "probability": 0.8201904296875}, {"start": 3072.65, "end": 3072.87, "word": " انا", "probability": 0.7093505859375}, {"start": 3072.87, "end": 3073.25, "word": " عندي", "probability": 0.78515625}, {"start": 3073.25, "end": 3073.95, "word": " عددين", "probability": 0.97265625}, {"start": 3073.95, "end": 3075.05, "word": " صحيحين", "probability": 0.98701171875}, {"start": 3075.05, "end": 3075.29, "word": " a", "probability": 0.9580078125}, {"start": 3075.29, "end": 3075.43, "word": " و", "probability": 0.9775390625}, {"start": 3075.43, "end": 3075.77, "word": " b", "probability": 0.75830078125}, {"start": 3075.77, "end": 3076.53, "word": " there", "probability": 0.6953125}, {"start": 3076.53, "end": 3076.99, "word": " exist", "probability": 0.86962890625}, {"start": 3076.99, "end": 3077.63, "word": " integers", "probability": 0.90478515625}, {"start": 3077.63, "end": 3078.31, "word": " لازم", "probability": 0.9814453125}, {"start": 3078.31, "end": 3078.65, "word": " الاقي", "probability": 0.6210123697916666}, {"start": 3078.65, "end": 3079.33, "word": " عددين", "probability": 0.98779296875}, {"start": 3079.33, "end": 3080.29, "word": " اخرين", "probability": 0.94580078125}, {"start": 3080.29, "end": 3080.85, "word": " s", "probability": 0.89794921875}, {"start": 3080.85, "end": 3081.25, "word": " and", "probability": 0.40966796875}, {"start": 3081.25, "end": 3081.59, "word": " t", "probability": 0.87060546875}, {"start": 3081.59, "end": 3082.29, "word": " such", "probability": 0.97119140625}, {"start": 3082.29, "end": 3082.73, "word": " that", "probability": 0.95654296875}, {"start": 3082.73, "end": 3082.91, "word": " the", "probability": 0.420654296875}, {"start": 3082.91, "end": 3083.21, "word": " greatest", "probability": 0.70263671875}, {"start": 3083.21, "end": 3083.71, "word": " common", "probability": 0.92919921875}, {"start": 3083.71, "end": 3084.51, "word": " divisor", "probability": 0.951904296875}, {"start": 3084.51, "end": 3084.75, "word": " لل", "probability": 0.64453125}, {"start": 3084.75, "end": 3085.03, "word": " a", "probability": 0.70361328125}, {"start": 3085.03, "end": 3085.13, "word": " و", "probability": 0.52978515625}, {"start": 3085.13, "end": 3085.25, "word": " ال", "probability": 0.72216796875}, {"start": 3085.25, "end": 3085.53, "word": " b", "probability": 0.91943359375}, {"start": 3085.53, "end": 3086.29, "word": " بدى", "probability": 0.4696044921875}, {"start": 3086.29, "end": 3086.71, "word": " يسوى", "probability": 0.7801513671875}, {"start": 3086.71, "end": 3086.93, "word": " a", "probability": 0.93896484375}, {"start": 3086.93, "end": 3087.09, "word": " في", "probability": 0.412841796875}, {"start": 3087.09, "end": 3087.25, "word": " ال", "probability": 0.75537109375}, {"start": 3087.25, "end": 3087.59, "word": " s", "probability": 0.7861328125}, {"start": 3087.59, "end": 3088.45, "word": " زائد", "probability": 0.768798828125}, {"start": 3088.45, "end": 3089.53, "word": " bt", "probability": 0.6513671875}, {"start": 3089.53, "end": 3089.85, "word": " ايش", "probability": 0.6822916666666666}, {"start": 3089.85, "end": 3090.53, "word": " يعني؟", "probability": 0.8763020833333334}], "temperature": 1.0}, {"id": 124, "seek": 310846, "start": 3090.84, "end": 3108.46, "text": "بقول هنا لجلس ال common divisor بتقدر تكتبه على صيغة linear combination من العددين A وB يعني بقدر ألاقي عدد أضربه في A وعدد تاني أضربه في B أجمع يطلع له لجلس ال common divisor", "tokens": [3555, 39648, 34105, 5296, 7435, 1211, 3794, 2423, 2689, 25974, 284, 39894, 28543, 2288, 6055, 4117, 2655, 3555, 3224, 15844, 20328, 1829, 17082, 3660, 8213, 6562, 9154, 18863, 3215, 3215, 9957, 316, 4032, 33, 37495, 22653, 4724, 28543, 2288, 5551, 15040, 38436, 6225, 3215, 3215, 5551, 11242, 25513, 3224, 8978, 316, 4032, 22488, 3215, 6055, 7649, 1829, 5551, 11242, 25513, 3224, 8978, 363, 5551, 7435, 2304, 3615, 7251, 9566, 1211, 3615, 46740, 5296, 7435, 1211, 3794, 2423, 2689, 25974, 284], "avg_logprob": -0.2119984597335627, "compression_ratio": 1.5459770114942528, "no_speech_prob": 0.0, "words": [{"start": 3090.84, "end": 3091.44, "word": "بقول", "probability": 0.47119140625}, {"start": 3091.44, "end": 3091.82, "word": " هنا", "probability": 0.468017578125}, {"start": 3091.82, "end": 3092.42, "word": " لجلس", "probability": 0.46844482421875}, {"start": 3092.42, "end": 3092.58, "word": " ال", "probability": 0.449951171875}, {"start": 3092.58, "end": 3092.96, "word": " common", "probability": 0.75}, {"start": 3092.96, "end": 3093.84, "word": " divisor", "probability": 0.91357421875}, {"start": 3093.84, "end": 3094.46, "word": " بتقدر", "probability": 0.8662109375}, {"start": 3094.46, "end": 3095.06, "word": " تكتبه", "probability": 0.95498046875}, {"start": 3095.06, "end": 3095.26, "word": " على", "probability": 0.8271484375}, {"start": 3095.26, "end": 3095.92, "word": " صيغة", "probability": 0.975830078125}, {"start": 3095.92, "end": 3096.44, "word": " linear", "probability": 0.8759765625}, {"start": 3096.44, "end": 3097.42, "word": " combination", "probability": 0.96533203125}, {"start": 3097.42, "end": 3097.7, "word": " من", "probability": 0.9755859375}, {"start": 3097.7, "end": 3098.36, "word": " العددين", "probability": 0.903564453125}, {"start": 3098.36, "end": 3098.64, "word": " A", "probability": 0.4091796875}, {"start": 3098.64, "end": 3100.52, "word": " وB", "probability": 0.669677734375}, {"start": 3100.52, "end": 3101.38, "word": " يعني", "probability": 0.90673828125}, {"start": 3101.38, "end": 3101.86, "word": " بقدر", "probability": 0.904296875}, {"start": 3101.86, "end": 3102.2, "word": " ألاقي", "probability": 0.5909830729166666}, {"start": 3102.2, "end": 3102.6, "word": " عدد", "probability": 0.98193359375}, {"start": 3102.6, "end": 3103.24, "word": " أضربه", "probability": 0.8634033203125}, {"start": 3103.24, "end": 3103.4, "word": " في", "probability": 0.9521484375}, {"start": 3103.4, "end": 3103.64, "word": " A", "probability": 0.92724609375}, {"start": 3103.64, "end": 3104.24, "word": " وعدد", "probability": 0.8889973958333334}, {"start": 3104.24, "end": 3104.56, "word": " تاني", "probability": 0.943359375}, {"start": 3104.56, "end": 3105.02, "word": " أضربه", "probability": 0.961181640625}, {"start": 3105.02, "end": 3105.16, "word": " في", "probability": 0.84423828125}, {"start": 3105.16, "end": 3105.34, "word": " B", "probability": 0.60595703125}, {"start": 3105.34, "end": 3105.96, "word": " أجمع", "probability": 0.954345703125}, {"start": 3105.96, "end": 3106.46, "word": " يطلع", "probability": 0.9573974609375}, {"start": 3106.46, "end": 3106.64, "word": " له", "probability": 0.7666015625}, {"start": 3106.64, "end": 3107.12, "word": " لجلس", "probability": 0.8634033203125}, {"start": 3107.12, "end": 3107.32, "word": " ال", "probability": 0.89453125}, {"start": 3107.32, "end": 3107.68, "word": " common", "probability": 0.9609375}, {"start": 3107.68, "end": 3108.46, "word": " divisor", "probability": 0.9384765625}], "temperature": 1.0}, {"id": 125, "seek": 313294, "start": 3108.74, "end": 3132.94, "text": "هل حطيت قيود على ال S و T؟ ماحطيتش، يعني يمكن يطلعوا اتنين سالب، يمكن واحد موجب وواحد سالب المهم ان الهدف الصحيح بيهمنيش موجب سالب غيره لكن بيهمنياش انه فعلا يكون the greatest common divisor هو linear combination من الرقمين اللي عندي من A وB moreover", "tokens": [3224, 1211, 11331, 9566, 36081, 12174, 1829, 23328, 15844, 2423, 318, 4032, 314, 22807, 19446, 5016, 9566, 36081, 8592, 12399, 37495, 22653, 7251, 43020, 7251, 9566, 1211, 3615, 14407, 1975, 2655, 1863, 9957, 8608, 6027, 3555, 12399, 7251, 43020, 36764, 24401, 3714, 29245, 3555, 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"word": " وواحد", "probability": 0.8292643229166666}, {"start": 3116.86, "end": 3117.36, "word": " سالب", "probability": 0.93603515625}, {"start": 3117.36, "end": 3118.04, "word": " المهم", "probability": 0.852294921875}, {"start": 3118.04, "end": 3118.24, "word": " ان", "probability": 0.6513671875}, {"start": 3118.24, "end": 3118.68, "word": " الهدف", "probability": 0.467010498046875}, {"start": 3118.68, "end": 3119.06, "word": " الصحيح", "probability": 0.9453125}, {"start": 3119.06, "end": 3119.68, "word": " بيهمنيش", "probability": 0.6841796875}, {"start": 3119.68, "end": 3120.1, "word": " موجب", "probability": 0.9415690104166666}, {"start": 3120.1, "end": 3120.64, "word": " سالب", "probability": 0.8854166666666666}, {"start": 3120.64, "end": 3121.24, "word": " غيره", "probability": 0.96240234375}, {"start": 3121.24, "end": 3121.9, "word": " لكن", "probability": 0.59033203125}, {"start": 3121.9, "end": 3122.96, "word": " بيهمنياش", "probability": 0.778076171875}, {"start": 3122.96, "end": 3123.54, "word": " انه", "probability": 0.7861328125}, {"start": 3123.54, "end": 3123.94, "word": " فعلا", "probability": 0.88330078125}, {"start": 3123.94, "end": 3124.54, "word": " يكون", "probability": 0.97265625}, {"start": 3124.54, "end": 3125.0, "word": " the", "probability": 0.05572509765625}, {"start": 3125.0, "end": 3125.32, "word": " greatest", "probability": 0.494384765625}, {"start": 3125.32, "end": 3125.8, "word": " common", "probability": 0.9462890625}, {"start": 3125.8, "end": 3126.38, "word": " divisor", "probability": 0.96923828125}, {"start": 3126.38, "end": 3126.6, "word": " هو", "probability": 0.93994140625}, {"start": 3126.6, "end": 3127.02, "word": " linear", "probability": 0.5390625}, {"start": 3127.02, "end": 3127.98, "word": " combination", "probability": 0.96337890625}, {"start": 3127.98, "end": 3128.52, "word": " من", "probability": 0.994140625}, {"start": 3128.52, "end": 3129.56, "word": " الرقمين", "probability": 0.9210205078125}, {"start": 3129.56, "end": 3129.8, "word": " اللي", "probability": 0.94677734375}, {"start": 3129.8, "end": 3130.24, "word": " عندي", "probability": 0.76708984375}, {"start": 3130.24, "end": 3130.72, "word": " من", "probability": 0.2978515625}, {"start": 3130.72, "end": 3131.78, "word": " A", "probability": 0.5322265625}, {"start": 3131.78, "end": 3132.3, "word": " وB", "probability": 0.80224609375}, {"start": 3132.3, "end": 3132.94, "word": " moreover", "probability": 0.6378173828125}], "temperature": 1.0}, {"id": 126, "seek": 314485, "start": 3133.63, "end": 3144.85, "text": "Greece's Common Divisor هو أصغر رقم بقدر أكتفه على صيغة Linear Combination AS زائد BT", "tokens": [38, 701, 384, 311, 18235, 9886, 271, 284, 31439, 5551, 9381, 17082, 2288, 12602, 4587, 2304, 4724, 28543, 2288, 5551, 4117, 2655, 5172, 3224, 15844, 20328, 1829, 17082, 3660, 14670, 289, 25939, 2486, 7469, 30767, 16373, 3215, 31144], "avg_logprob": -0.3984375045849727, "compression_ratio": 0.9421487603305785, "no_speech_prob": 0.0, "words": [{"start": 3133.63, "end": 3134.35, "word": "Greece's", "probability": 0.470550537109375}, {"start": 3134.35, "end": 3134.65, "word": " Common", "probability": 0.474609375}, {"start": 3134.65, "end": 3135.35, "word": " Divisor", "probability": 0.8019205729166666}, {"start": 3135.35, "end": 3135.83, "word": " هو", "probability": 0.7041015625}, {"start": 3135.83, "end": 3137.13, "word": " أصغر", "probability": 0.909912109375}, {"start": 3137.13, "end": 3137.91, "word": " رقم", "probability": 0.9427083333333334}, {"start": 3137.91, "end": 3138.75, "word": " بقدر", "probability": 0.5361328125}, {"start": 3138.75, "end": 3139.29, "word": " أكتفه", "probability": 0.7736328125}, {"start": 3139.29, "end": 3139.49, "word": " على", "probability": 0.93994140625}, {"start": 3139.49, "end": 3139.99, "word": " صيغة", "probability": 0.915283203125}, {"start": 3139.99, "end": 3140.51, "word": " Linear", "probability": 0.626708984375}, {"start": 3140.51, "end": 3141.53, "word": " Combination", "probability": 0.893798828125}, {"start": 3141.53, "end": 3142.53, "word": " AS", "probability": 0.358642578125}, {"start": 3142.53, "end": 3143.89, "word": " زائد", "probability": 0.57159423828125}, {"start": 3143.89, "end": 3144.85, "word": " BT", "probability": 0.72119140625}], "temperature": 1.0}, {"id": 127, "seek": 316573, "start": 3145.87, "end": 3165.73, "text": "طيب النتيجة بتقول ليش؟ لو كان ال a وال b relatively prime زي الأربعة والسبعة اللي قبل قليل مثلا يبقى then there exists an integer S و T such that يعني قصده يقول لك linear combination هذي ال aggressives common ده يغزلوا بقداش", "tokens": [9566, 1829, 3555, 28239, 31371, 7435, 3660, 39894, 39648, 32239, 8592, 22807, 45164, 25961, 2423, 257, 16070, 272, 7226, 5835, 30767, 1829, 16247, 25513, 27884, 16070, 35457, 27884, 13672, 1829, 12174, 36150, 12174, 20292, 1211, 50113, 15040, 7251, 3555, 4587, 7578, 550, 456, 8198, 364, 24922, 318, 4032, 314, 1270, 300, 37495, 22653, 12174, 9381, 3215, 3224, 7251, 39648, 5296, 4117, 8213, 6562, 8032, 8848, 1829, 2423, 623, 3091, 1539, 2689, 11778, 3224, 7251, 17082, 11622, 1211, 14407, 4724, 28543, 33599], "avg_logprob": -0.3675686084642643, "compression_ratio": 1.4394618834080717, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 3145.87, "end": 3146.67, "word": "طيب", "probability": 0.6773885091145834}, {"start": 3146.67, "end": 3147.21, "word": " النتيجة", "probability": 0.9288330078125}, {"start": 3147.21, "end": 3147.65, "word": " بتقول", "probability": 0.9677734375}, {"start": 3147.65, "end": 3148.51, "word": " ليش؟", "probability": 0.8014322916666666}, {"start": 3148.51, "end": 3148.69, "word": " لو", "probability": 0.92431640625}, {"start": 3148.69, "end": 3149.07, "word": " كان", "probability": 0.95947265625}, {"start": 3149.07, "end": 3149.29, "word": " ال", "probability": 0.90966796875}, {"start": 3149.29, "end": 3149.47, "word": " a", "probability": 0.44287109375}, {"start": 3149.47, "end": 3149.73, "word": " وال", "probability": 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then", "probability": 0.5}, {"start": 3155.75, "end": 3155.99, "word": " there", "probability": 0.89208984375}, {"start": 3155.99, "end": 3156.43, "word": " exists", "probability": 0.591796875}, {"start": 3156.43, "end": 3156.81, "word": " an", "probability": 0.92919921875}, {"start": 3156.81, "end": 3157.45, "word": " integer", "probability": 0.935546875}, {"start": 3157.45, "end": 3157.85, "word": " S", "probability": 0.333251953125}, {"start": 3157.85, "end": 3158.01, "word": " و", "probability": 0.464111328125}, {"start": 3158.01, "end": 3158.19, "word": " T", "probability": 0.404541015625}, {"start": 3158.19, "end": 3158.75, "word": " such", "probability": 0.9658203125}, {"start": 3158.75, "end": 3159.31, "word": " that", "probability": 0.9462890625}, {"start": 3159.31, "end": 3159.99, "word": " يعني", "probability": 0.897705078125}, {"start": 3159.99, "end": 3160.47, "word": " قصده", "probability": 0.8134765625}, {"start": 3160.47, "end": 3160.69, "word": " يقول", "probability": 0.942626953125}, {"start": 3160.69, "end": 3160.93, "word": " لك", "probability": 0.77978515625}, {"start": 3160.93, "end": 3161.33, "word": " linear", "probability": 0.76123046875}, {"start": 3161.33, "end": 3162.71, "word": " combination", "probability": 0.56640625}, {"start": 3162.71, "end": 3163.37, "word": " هذي", "probability": 0.5572102864583334}, {"start": 3163.37, "end": 3163.45, "word": " ال", "probability": 0.473876953125}, {"start": 3163.45, "end": 3163.93, "word": " aggressives", "probability": 0.2525227864583333}, {"start": 3163.93, "end": 3164.31, "word": " common", "probability": 0.548828125}, {"start": 3164.31, "end": 3164.55, "word": " ده", "probability": 0.4869384765625}, {"start": 3164.55, "end": 3164.85, "word": " يغزلوا", "probability": 0.60302734375}, {"start": 3164.85, "end": 3165.73, "word": " بقداش", "probability": 0.9475911458333334}], "temperature": 1.0}, {"id": 128, "seek": 317571, "start": 3165.95, "end": 3175.71, "text": "يبقى الواحد back to record وعلى شكل AS بزاقة BT طبعا انها تامثل لكل من النظرية وكل من", "tokens": [1829, 3555, 4587, 7578, 2423, 14407, 24401, 646, 281, 2136, 4032, 3615, 23942, 13412, 28820, 7469, 4724, 11622, 995, 28671, 31144, 23032, 3555, 3615, 995, 16472, 11296, 6055, 10943, 12984, 1211, 5296, 28820, 9154, 28239, 19913, 2288, 10632, 4032, 28820, 9154], "avg_logprob": -0.3684895883003871, "compression_ratio": 1.1610169491525424, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 3165.95, "end": 3166.77, "word": "يبقى", "probability": 0.81201171875}, {"start": 3166.77, "end": 3167.17, "word": " الواحد", "probability": 0.8556315104166666}, {"start": 3167.17, "end": 3167.39, "word": " back", "probability": 0.055816650390625}, {"start": 3167.39, "end": 3167.51, "word": " to", "probability": 0.77783203125}, {"start": 3167.51, "end": 3167.65, "word": " record", "probability": 0.5283203125}, {"start": 3167.65, "end": 3168.03, "word": " وعلى", "probability": 0.7906901041666666}, {"start": 3168.03, "end": 3168.51, "word": " شكل", "probability": 0.935791015625}, {"start": 3168.51, "end": 3170.01, "word": " AS", "probability": 0.533203125}, {"start": 3170.01, "end": 3170.89, "word": " بزاقة", "probability": 0.5634918212890625}, {"start": 3170.89, "end": 3171.79, "word": " BT", "probability": 0.69970703125}, {"start": 3171.79, "end": 3172.59, "word": " طبعا", "probability": 0.9329833984375}, {"start": 3172.59, "end": 3172.75, "word": " انها", "probability": 0.41802978515625}, {"start": 3172.75, "end": 3173.31, "word": " تامثل", "probability": 0.7432861328125}, {"start": 3173.31, "end": 3173.73, "word": " لكل", "probability": 0.787109375}, {"start": 3173.73, "end": 3173.95, "word": " من", "probability": 0.9736328125}, {"start": 3173.95, "end": 3174.75, "word": " النظرية", "probability": 0.9508056640625}, {"start": 3174.75, "end": 3175.29, "word": " وكل", "probability": 0.7509765625}, {"start": 3175.29, "end": 3175.71, "word": " من", "probability": 0.86669921875}], "temperature": 1.0}, {"id": 129, "seek": 320586, "start": 3176.14, "end": 3205.86, "text": "اللي هو .. و كذلك الـ Crawler الـ Crawler يعني نتيجة شباب على نظره يعني كانها حالة خاصة الحالة الخاصة لو كان ال greatest common divisor هدف واحد يبقى أقدر أكتب الواحد على صيغة لينا ال combination من مين؟ من الاتنين، هدول نعطي أول مثال على ذلك يبقى example one لو كان ال greatest common divisor لمين؟ للأتناشر والتلاتين", "tokens": [6027, 20292, 31439, 4386, 4032, 9122, 8848, 23275, 2423, 39184, 37877, 1918, 2423, 39184, 37877, 1918, 37495, 22653, 8717, 31371, 7435, 3660, 13412, 3555, 16758, 15844, 8717, 19913, 2288, 3224, 37495, 22653, 25961, 11296, 11331, 6027, 3660, 16490, 33546, 3660, 21542, 6027, 3660, 33962, 33546, 3660, 45164, 25961, 2423, 6636, 2689, 25974, 284, 8032, 3215, 5172, 36764, 24401, 7251, 3555, 4587, 7578, 5551, 28543, 2288, 5551, 4117, 2655, 3555, 2423, 14407, 24401, 15844, 20328, 1829, 17082, 3660, 32239, 8315, 2423, 6562, 9154, 3714, 9957, 22807, 9154, 2423, 9307, 1863, 9957, 12399, 8032, 3215, 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0.92333984375}, {"start": 3277.09, "end": 3277.35, "word": " واحد", "probability": 0.975341796875}, {"start": 3277.35, "end": 3277.83, "word": " يعطينا", "probability": 0.78525390625}, {"start": 3277.83, "end": 3278.17, "word": " main", "probability": 0.212646484375}, {"start": 3278.17, "end": 3279.15, "word": " الرقم", "probability": 0.9521484375}, {"start": 3279.15, "end": 3279.51, "word": " ست", "probability": 0.876220703125}, {"start": 3279.51, "end": 3279.95, "word": " الأولي", "probability": 0.6288248697916666}, {"start": 3279.95, "end": 3280.31, "word": " greatest", "probability": 0.045257568359375}, {"start": 3280.31, "end": 3280.81, "word": " common", "probability": 0.95068359375}, {"start": 3280.81, "end": 3281.43, "word": " divisor", "probability": 0.9658203125}, {"start": 3281.43, "end": 3282.11, "word": " لاتناشر", "probability": 0.711083984375}, {"start": 3282.11, "end": 3282.57, "word": " وmain", "probability": 0.5189208984375}, {"start": 3282.57, "end": 3284.23, "word": " والتلاتين", "probability": 0.88935546875}, {"start": 3284.23, "end": 3285.17, "word": " خد", "probability": 0.864013671875}, {"start": 3285.17, "end": 3285.33, "word": " لي", "probability": 0.410888671875}, {"start": 3285.33, "end": 3285.95, "word": " كمان", "probability": 0.8286946614583334}, {"start": 3285.95, "end": 3286.59, "word": " مثال", "probability": 0.9794921875}, {"start": 3286.59, "end": 3287.19, "word": " آخر", "probability": 0.75244140625}], "temperature": 1.0}, {"id": 135, "seek": 330874, "start": 3289.02, "end": 3308.74, "text": "يبقى لو جيت قلت المثال ارقم اتنين لو جيت ال greatest common divisor لمن؟ للاربعة والسبعتاش هدول ما لهم? rentable price صحيح ولا لأ؟ يبقى دول بده يساوي واحد", "tokens": [1829, 3555, 4587, 7578, 45164, 10874, 36081, 12174, 1211, 2655, 9673, 12984, 6027, 1975, 2288, 4587, 2304, 1975, 2655, 1863, 9957, 45164, 10874, 36081, 2423, 6636, 2689, 25974, 284, 5296, 27842, 22807, 24976, 9640, 3555, 27884, 16070, 35457, 34268, 33599, 8032, 3215, 12610, 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3294.28, "word": " جيت", "probability": 0.98486328125}, {"start": 3294.28, "end": 3294.48, "word": " ال", "probability": 0.52294921875}, {"start": 3294.48, "end": 3295.02, "word": " greatest", "probability": 0.94287109375}, {"start": 3295.02, "end": 3295.8, "word": " common", "probability": 0.9658203125}, {"start": 3295.8, "end": 3296.84, "word": " divisor", "probability": 0.96142578125}, {"start": 3296.84, "end": 3297.8, "word": " لمن؟", "probability": 0.600830078125}, {"start": 3297.8, "end": 3299.08, "word": " للاربعة", "probability": 0.7774658203125}, {"start": 3299.08, "end": 3300.84, "word": " والسبعتاش", "probability": 0.8162841796875}, {"start": 3300.84, "end": 3301.86, "word": " هدول", "probability": 0.9373372395833334}, {"start": 3301.86, "end": 3302.02, "word": " ما", "probability": 0.58935546875}, {"start": 3302.02, "end": 3302.42, "word": " لهم?", "probability": 0.769775390625}, {"start": 3302.84, "end": 3303.78, "word": " rentable", "probability": 0.247406005859375}, {"start": 3303.78, "end": 3304.28, "word": " price", "probability": 0.30517578125}, {"start": 3304.28, "end": 3304.9, "word": " صحيح", "probability": 0.9378662109375}, {"start": 3304.9, "end": 3305.06, "word": " ولا", "probability": 0.96142578125}, {"start": 3305.06, "end": 3305.8, "word": " لأ؟", "probability": 0.7184244791666666}, {"start": 3305.8, "end": 3306.54, "word": " يبقى", "probability": 0.9869384765625}, {"start": 3306.54, "end": 3306.88, "word": " دول", "probability": 0.928955078125}, {"start": 3306.88, "end": 3307.4, "word": " بده", "probability": 0.60595703125}, {"start": 3307.4, "end": 3308.0, "word": " يساوي", "probability": 0.8817138671875}, {"start": 3308.0, "end": 3308.74, "word": " واحد", "probability": 0.986083984375}], "temperature": 1.0}, {"id": 136, "seek": 333801, "start": 3309.81, "end": 3338.01, "text": "مش زي اللي هناك يساوي ستة يبقى هذا بده يساوي أربعة في أبصر قداش زائد سبعتاشر في أبصر قداش كذلك سالب أربعة قصير قداش سالب ستاش واني عندى هنا قداش يبقى السبعتاشر بدها قداش واحد ليس بالضرورة دايما يطلع واحد ممكن يطلع أي رقم آخر يعني بقدر الله المرة هذه طلع", "tokens": [2304, 8592, 30767, 1829, 13672, 1829, 34105, 4117, 7251, 3794, 995, 45865, 8608, 2655, 3660, 7251, 3555, 4587, 7578, 23758, 47525, 3224, 7251, 3794, 995, 45865, 5551, 25513, 27884, 8978, 5551, 3555, 9381, 2288, 12174, 3215, 33599, 30767, 16373, 3215, 8608, 3555, 34268, 33599, 2288, 8978, 5551, 3555, 9381, 2288, 12174, 3215, 33599, 9122, 8848, 23275, 8608, 6027, 3555, 5551, 25513, 27884, 12174, 9381, 13546, 12174, 3215, 33599, 8608, 6027, 3555, 8608, 2655, 33599, 4032, 7649, 1829, 43242, 7578, 34105, 12174, 3215, 33599, 7251, 3555, 4587, 7578, 21136, 3555, 34268, 33599, 2288, 47525, 11296, 12174, 3215, 33599, 36764, 24401, 32239, 3794, 20666, 11242, 2288, 13063, 3660, 11778, 47302, 15042, 7251, 9566, 1211, 3615, 36764, 24401, 3714, 43020, 7251, 9566, 1211, 3615, 36632, 12602, 4587, 2304, 19753, 34740, 37495, 22653, 4724, 28543, 2288, 21984, 9673, 25720, 29538, 23032, 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"probability": 0.8408203125}, {"start": 3350.94, "end": 3351.52, "word": " الشكل", "probability": 0.8642578125}, {"start": 3351.52, "end": 3352.12, "word": " الأربعة", "probability": 0.76318359375}, {"start": 3352.12, "end": 3352.74, "word": " مضروبة", "probability": 0.9439697265625}, {"start": 3352.74, "end": 3353.02, "word": " في", "probability": 0.9384765625}, {"start": 3353.02, "end": 3353.5, "word": " integer", "probability": 0.83251953125}, {"start": 3353.5, "end": 3353.94, "word": " زاد", "probability": 0.63330078125}, {"start": 3353.94, "end": 3354.72, "word": " سبعتاشر", "probability": 0.8591796875}, {"start": 3354.72, "end": 3355.14, "word": " مضروبة", "probability": 0.96923828125}, {"start": 3355.14, "end": 3355.26, "word": " في", "probability": 0.96875}, {"start": 3355.26, "end": 3355.72, "word": " integer", "probability": 0.9296875}, {"start": 3355.72, "end": 3356.52, "word": " طبق", "probability": 0.8564453125}, {"start": 3356.52, "end": 3356.86, "word": " اللي", 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"word": " الحالة", "probability": 0.8994140625}, {"start": 3361.85, "end": 3362.59, "word": " طيب", "probability": 0.9747721354166666}, {"start": 3362.59, "end": 3362.75, "word": " يا", "probability": 0.875}, {"start": 3362.75, "end": 3363.11, "word": " شباب", "probability": 0.9873046875}, {"start": 3363.11, "end": 3363.41, "word": " لو", "probability": 0.9326171875}, {"start": 3363.41, "end": 3363.95, "word": " جيت", "probability": 0.975341796875}, {"start": 3363.95, "end": 3364.91, "word": " قلت", "probability": 0.8230794270833334}, {"start": 3364.91, "end": 3365.59, "word": " رقم", "probability": 0.9913736979166666}, {"start": 3365.59, "end": 3366.59, "word": " تلاتة", "probability": 0.8983154296875}, {"start": 3366.59, "end": 3367.27, "word": " لو", "probability": 0.888671875}, {"start": 3367.27, "end": 3367.59, "word": " بد", "probability": 0.6220703125}, {"start": 3367.59, "end": 3367.79, "word": " ال", "probability": 0.6416015625}, {"start": 3367.79, "end": 3368.05, "word": " degree", "probability": 0.08062744140625}, {"start": 3368.05, "end": 3368.43, "word": " is", "probability": 0.375732421875}, {"start": 3368.43, "end": 3368.93, "word": " common", "probability": 0.8984375}, {"start": 3368.93, "end": 3370.09, "word": " divisor", "probability": 0.96875}, {"start": 3370.09, "end": 3371.31, "word": " لمن؟", "probability": 0.68603515625}, {"start": 3371.31, "end": 3372.45, "word": " لليتنين", "probability": 0.7299560546875}, {"start": 3372.45, "end": 3373.59, "word": " تربيع", "probability": 0.8292236328125}, {"start": 3373.59, "end": 3374.27, "word": " في", "probability": 0.8837890625}, {"start": 3374.27, "end": 3375.51, "word": " تلاتة", "probability": 0.9459228515625}, {"start": 3375.51, "end": 3376.37, "word": " تربيع", "probability": 0.9359130859375}, {"start": 3376.37, "end": 3376.87, "word": " في", "probability": 0.974609375}, {"start": 3376.87, "end": 3377.67, "word": " خمسة", "probability": 0.9879150390625}, {"start": 3377.67, "end": 3378.01, "word": " كل", "probability": 0.81494140625}, {"start": 3378.01, "end": 3378.59, "word": " هذا", "probability": 0.931640625}, {"start": 3378.59, "end": 3379.13, "word": " ضرب", "probability": 0.9814453125}, {"start": 3379.13, "end": 3380.57, "word": " والرقم", "probability": 0.86688232421875}, {"start": 3380.57, "end": 3381.33, "word": " التاني", "probability": 0.9552408854166666}, {"start": 3381.33, "end": 3382.45, "word": " اتنين", "probability": 0.939208984375}, {"start": 3382.45, "end": 3382.99, "word": " في", "probability": 0.9208984375}, {"start": 3382.99, "end": 3383.81, "word": " تلاتة", "probability": 0.9892578125}, {"start": 3383.81, "end": 3384.61, "word": " تربيع", "probability": 0.9364013671875}, {"start": 3384.61, "end": 3385.19, "word": " في", "probability": 0.9873046875}, {"start": 3385.19, "end": 3386.19, "word": " سبعة", "probability": 0.9713541666666666}, {"start": 3386.19, "end": 3387.15, "word": " تربيع", "probability": 0.9276123046875}], "temperature": 1.0}, {"id": 139, "seek": 341435, "start": 3389.29, "end": 3414.35, "text": "رقمين كبار يبقى لو كان عندى رقم كبير بحلله الى أبسط العوامل بشوف فيه اكم اتنين و بعدين اكم تلاتة و اكم خمسة و اكم سبعة و هكذا طيب لو بدى اجيب الجنس ال common divisor للاتنين هدول عشان احسب هذا بجيب قدش الجنس ال common divisor لتنين تربيع و اتنين", "tokens": [2288, 4587, 2304, 9957, 9122, 3555, 9640, 7251, 3555, 4587, 7578, 45164, 25961, 43242, 7578, 12602, 4587, 2304, 9122, 3555, 13546, 4724, 5016, 1211, 43761, 2423, 7578, 5551, 3555, 3794, 9566, 18863, 2407, 10943, 1211, 4724, 8592, 38688, 8978, 3224, 1975, 24793, 1975, 2655, 1863, 9957, 4032, 39182, 9957, 1975, 24793, 6055, 1211, 9307, 3660, 4032, 1975, 24793, 16490, 2304, 3794, 3660, 4032, 1975, 24793, 8608, 3555, 27884, 4032, 8032, 4117, 15730, 23032, 1829, 3555, 45164, 47525, 7578, 1975, 7435, 1829, 3555, 25724, 1863, 3794, 2423, 2689, 25974, 284, 24976, 9307, 1863, 9957, 8032, 3215, 12610, 6225, 8592, 7649, 1975, 5016, 35457, 23758, 4724, 7435, 1829, 3555, 12174, 3215, 8592, 25724, 1863, 3794, 2423, 2689, 25974, 284, 5296, 2655, 1863, 9957, 6055, 2288, 21292, 3615, 4032, 1975, 2655, 1863, 9957], "avg_logprob": -0.21696087740759812, "compression_ratio": 1.9166666666666667, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 3389.29, "end": 3390.03, "word": "رقمين", "probability": 0.8023681640625}, {"start": 3390.03, "end": 3390.75, "word": " كبار", "probability": 0.9309895833333334}, {"start": 3390.75, "end": 3391.57, "word": " يبقى", "probability": 0.6868896484375}, {"start": 3391.57, "end": 3391.75, "word": " لو", "probability": 0.92822265625}, {"start": 3391.75, "end": 3392.01, "word": " كان", "probability": 0.97509765625}, {"start": 3392.01, "end": 3392.41, "word": " عندى", "probability": 0.6650390625}, {"start": 3392.41, "end": 3392.79, "word": " رقم", "probability": 0.99560546875}, {"start": 3392.79, "end": 3393.17, "word": " كبير", "probability": 0.99609375}, {"start": 3393.17, "end": 3394.17, "word": " بحلله", "probability": 0.938232421875}, {"start": 3394.17, "end": 3394.45, "word": " الى", "probability": 0.759033203125}, {"start": 3394.45, "end": 3394.83, "word": " أبسط", "probability": 0.9482421875}, {"start": 3394.83, "end": 3395.25, "word": " العوامل", "probability": 0.789794921875}, {"start": 3395.25, "end": 3395.59, "word": " بشوف", "probability": 0.94287109375}, {"start": 3395.59, "end": 3395.81, "word": " فيه", "probability": 0.768798828125}, {"start": 3395.81, "end": 3396.11, "word": " اكم", "probability": 0.5716552734375}, {"start": 3396.11, "end": 3396.59, "word": " اتنين", "probability": 0.8544921875}, {"start": 3396.59, "end": 3396.71, "word": " و", "probability": 0.61474609375}, {"start": 3396.71, "end": 3397.05, "word": " بعدين", "probability": 0.835205078125}, {"start": 3397.05, "end": 3397.35, "word": " اكم", "probability": 0.933349609375}, {"start": 3397.35, "end": 3398.01, "word": " تلاتة", "probability": 0.88720703125}, {"start": 3398.01, "end": 3398.45, "word": " و", "probability": 0.92578125}, {"start": 3398.45, "end": 3398.81, "word": " اكم", "probability": 0.9482421875}, {"start": 3398.81, "end": 3399.39, "word": " خمسة", "probability": 0.97119140625}, {"start": 3399.39, "end": 3399.51, "word": " و", "probability": 0.97119140625}, {"start": 3399.51, "end": 3399.97, "word": " اكم", "probability": 0.9189453125}, {"start": 3399.97, "end": 3400.65, "word": " سبعة", "probability": 0.9661458333333334}, {"start": 3400.65, "end": 3400.83, "word": " و", "probability": 0.90869140625}, {"start": 3400.83, "end": 3401.43, "word": " هكذا", "probability": 0.8771158854166666}, {"start": 3401.43, "end": 3403.11, "word": " طيب", "probability": 0.8683268229166666}, {"start": 3403.11, "end": 3403.35, "word": " لو", "probability": 0.9404296875}, {"start": 3403.35, "end": 3403.69, "word": " بدى", "probability": 0.869140625}, {"start": 3403.69, "end": 3403.91, "word": " اجيب", "probability": 0.8975830078125}, {"start": 3403.91, "end": 3404.39, "word": " الجنس", "probability": 0.547119140625}, {"start": 3404.39, "end": 3404.57, "word": " ال", "probability": 0.7255859375}, {"start": 3404.57, "end": 3404.93, "word": " common", "probability": 0.943359375}, {"start": 3404.93, "end": 3405.75, "word": " divisor", "probability": 0.943359375}, {"start": 3405.75, "end": 3406.69, "word": " للاتنين", "probability": 0.73272705078125}, {"start": 3406.69, "end": 3407.35, "word": " هدول", "probability": 0.8382161458333334}, {"start": 3407.35, "end": 3408.31, "word": " عشان", "probability": 0.7185872395833334}, {"start": 3408.31, "end": 3408.71, "word": " احسب", "probability": 0.8976236979166666}, {"start": 3408.71, "end": 3409.05, "word": " هذا", "probability": 0.7490234375}, {"start": 3409.05, "end": 3409.51, "word": " بجيب", "probability": 0.86376953125}, {"start": 3409.51, "end": 3410.37, "word": " قدش", "probability": 0.496826171875}, {"start": 3410.37, "end": 3410.87, "word": " الجنس", "probability": 0.8785807291666666}, {"start": 3410.87, "end": 3411.03, "word": " ال", "probability": 0.86279296875}, {"start": 3411.03, "end": 3411.37, "word": " common", "probability": 0.9453125}, {"start": 3411.37, "end": 3412.05, "word": " divisor", "probability": 0.942626953125}, {"start": 3412.05, "end": 3412.83, "word": " لتنين", "probability": 0.71575927734375}, {"start": 3412.83, "end": 3413.37, "word": " تربيع", "probability": 0.7294921875}, {"start": 3413.37, "end": 3413.53, "word": " و", "probability": 0.6103515625}, {"start": 3413.53, "end": 3414.35, "word": " اتنين", "probability": 0.9129638671875}], "temperature": 1.0}, {"id": 140, "seek": 342752, "start": 3415.28, "end": 3427.52, "text": "أكبر رقم بيقسم الاتنين هو الاتنين اتنين مقدش لجريس ال common divisor للثلاثة تربيه والتلاتة تربيه", "tokens": [10721, 4117, 26890, 12602, 4587, 2304, 4724, 1829, 4587, 38251, 2423, 9307, 1863, 9957, 31439, 2423, 9307, 1863, 9957, 1975, 2655, 1863, 9957, 3714, 28543, 8592, 5296, 7435, 16572, 3794, 2423, 2689, 25974, 284, 24976, 12984, 1211, 5718, 104, 3660, 6055, 2288, 21292, 3224, 16070, 2655, 1211, 9307, 3660, 6055, 2288, 21292, 3224], "avg_logprob": -0.367766210326442, "compression_ratio": 1.4821428571428572, "no_speech_prob": 0.0, "words": [{"start": 3415.28, "end": 3416.92, "word": "أكبر", "probability": 0.6676025390625}, {"start": 3416.92, "end": 3417.4, "word": " رقم", "probability": 0.9363606770833334}, {"start": 3417.4, "end": 3417.9, "word": " بيقسم", "probability": 0.69696044921875}, {"start": 3417.9, "end": 3418.56, "word": " الاتنين", "probability": 0.7855224609375}, {"start": 3418.56, "end": 3419.26, "word": " هو", "probability": 0.250244140625}, {"start": 3419.26, "end": 3420.92, "word": " الاتنين", "probability": 0.8480224609375}, {"start": 3420.92, "end": 3421.82, "word": " اتنين", "probability": 0.78564453125}, {"start": 3421.82, "end": 3422.64, "word": " مقدش", "probability": 0.4908854166666667}, {"start": 3422.64, "end": 3423.2, "word": " لجريس", "probability": 0.611236572265625}, {"start": 3423.2, "end": 3423.4, "word": " ال", "probability": 0.55322265625}, {"start": 3423.4, "end": 3423.76, "word": " common", "probability": 0.93408203125}, {"start": 3423.76, "end": 3424.66, "word": " divisor", "probability": 0.945068359375}, {"start": 3424.66, "end": 3425.72, "word": " للثلاثة", "probability": 0.7982584635416666}, {"start": 3425.72, "end": 3426.12, "word": " تربيه", "probability": 0.7425537109375}, {"start": 3426.12, "end": 3426.9, "word": " والتلاتة", "probability": 0.8544921875}, {"start": 3426.9, "end": 3427.52, "word": " تربيه", "probability": 0.9217529296875}], "temperature": 1.0}, {"id": 141, "seek": 344533, "start": 3428.19, "end": 3445.33, "text": "التسعة يعني تلاتة تربية يبقى هذا تلاتة تربية جداش اللي جرس ال common divisor للخمسة والسبعة تربية سبعة يعني تسعة واربعين مع خمسة اتنين are relatively primed بجداش", "tokens": [6027, 2655, 3794, 27884, 37495, 22653, 6055, 1211, 9307, 3660, 6055, 25513, 10632, 7251, 3555, 4587, 7578, 23758, 6055, 1211, 9307, 3660, 6055, 25513, 10632, 10874, 3215, 33599, 13672, 1829, 10874, 2288, 3794, 2423, 2689, 25974, 284, 24976, 9778, 2304, 3794, 3660, 16070, 35457, 27884, 6055, 25513, 10632, 8608, 3555, 27884, 37495, 22653, 6055, 3794, 27884, 4032, 9640, 3555, 3615, 9957, 20449, 16490, 2304, 3794, 3660, 1975, 2655, 1863, 9957, 366, 7226, 2886, 292, 4724, 7435, 3215, 33599], "avg_logprob": -0.2153876559643806, "compression_ratio": 1.6459627329192548, "no_speech_prob": 0.0, "words": [{"start": 3428.19, "end": 3428.87, "word": "التسعة", "probability": 0.776123046875}, {"start": 3428.87, "end": 3429.19, "word": " يعني", "probability": 0.83447265625}, {"start": 3429.19, "end": 3429.93, "word": " تلاتة", "probability": 0.8546142578125}, {"start": 3429.93, "end": 3430.45, "word": " تربية", "probability": 0.8065592447916666}, {"start": 3430.45, "end": 3431.59, "word": " يبقى", "probability": 0.890380859375}, {"start": 3431.59, "end": 3431.97, "word": " هذا", "probability": 0.67822265625}, {"start": 3431.97, "end": 3433.09, "word": " تلاتة", "probability": 0.9200439453125}, {"start": 3433.09, "end": 3433.73, "word": " تربية", "probability": 0.9791666666666666}, {"start": 3433.73, "end": 3434.71, "word": " جداش", "probability": 0.7451171875}, {"start": 3434.71, "end": 3434.93, "word": " اللي", "probability": 0.66162109375}, {"start": 3434.93, "end": 3435.25, "word": " جرس", "probability": 0.652099609375}, {"start": 3435.25, "end": 3435.41, "word": " ال", "probability": 0.39794921875}, {"start": 3435.41, "end": 3435.77, "word": " common", "probability": 0.9453125}, {"start": 3435.77, "end": 3436.51, "word": " divisor", "probability": 0.6448974609375}, {"start": 3436.51, "end": 3437.39, "word": " للخمسة", "probability": 0.87685546875}, {"start": 3437.39, "end": 3438.07, "word": " والسبعة", "probability": 0.8816731770833334}, {"start": 3438.07, "end": 3438.87, "word": " تربية", "probability": 0.8997395833333334}, {"start": 3438.87, "end": 3439.61, "word": " سبعة", "probability": 0.8173828125}, {"start": 3439.61, "end": 3439.83, "word": " يعني", "probability": 0.92724609375}, {"start": 3439.83, "end": 3440.27, "word": " تسعة", "probability": 0.89892578125}, {"start": 3440.27, "end": 3440.81, "word": " واربعين", "probability": 0.84453125}, {"start": 3440.81, "end": 3440.99, "word": " مع", "probability": 0.95947265625}, {"start": 3440.99, "end": 3441.79, "word": " خمسة", "probability": 0.993408203125}, {"start": 3441.79, "end": 3442.73, "word": " اتنين", "probability": 0.86346435546875}, {"start": 3442.73, "end": 3443.07, "word": " are", "probability": 0.6904296875}, {"start": 3443.07, "end": 3443.95, "word": " relatively", "probability": 0.76416015625}, {"start": 3443.95, "end": 3444.55, "word": " primed", "probability": 0.4114990234375}, {"start": 3444.55, "end": 3445.33, "word": " بجداش", "probability": 0.9273681640625}], "temperature": 1.0}, {"id": 142, "seek": 346713, "start": 3445.47, "end": 3467.13, "text": "واحد يبقى الجرس ال common divisor لهم اللي هو يساوي واحد تسعة في اتنين في تمانتاش يبقى الجرس ال common divisor لهذين العددين يساوي جداش تمانتاش و هكذا يبقى الجرس ال common divisor لو كان مجموعة من الاعداد و عندي مجموعة من الاعداد بقارن كل واحد بالاجباله", "tokens": [14407, 24401, 7251, 3555, 4587, 7578, 25724, 2288, 3794, 2423, 2689, 25974, 284, 46740, 2304, 13672, 1829, 31439, 7251, 3794, 995, 45865, 36764, 24401, 6055, 3794, 27884, 8978, 1975, 2655, 1863, 9957, 8978, 46811, 7649, 2655, 33599, 7251, 3555, 4587, 7578, 25724, 2288, 3794, 2423, 2689, 25974, 284, 46740, 8848, 9957, 18863, 3215, 3215, 9957, 7251, 3794, 995, 45865, 10874, 3215, 33599, 46811, 7649, 2655, 33599, 4032, 8032, 4117, 15730, 7251, 3555, 4587, 7578, 25724, 2288, 3794, 2423, 2689, 25974, 284, 45164, 25961, 3714, 7435, 2304, 2407, 27884, 9154, 42963, 22488, 18513, 4032, 18871, 16254, 3714, 7435, 2304, 2407, 27884, 9154, 42963, 22488, 18513, 4724, 4587, 9640, 1863, 28242, 36764, 24401, 20666, 26108, 3555, 6027, 3224], "avg_logprob": -0.23557692664301294, "compression_ratio": 2.2756756756756755, 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"temperature": 1.0}, {"id": 143, "seek": 348612, "start": 3467.3, "end": 3486.12, "text": "و بطلع جديش لجريس ال common divisor لكل اتنين متنظرين وبعدين بضربهم في بعض بطلع جديش لجريس ال common divisor لمين؟ لكل الأعداد يبقى لحد هنا ا stop المرة الجاية ان شاء الله بنكمل يوم الأتنين و هجيك المرة الجاية هبدأ", "tokens": [2407, 4724, 9566, 1211, 3615, 10874, 16254, 8592, 5296, 7435, 16572, 3794, 2423, 2689, 25974, 284, 5296, 28820, 1975, 2655, 1863, 9957, 44650, 1863, 19913, 2288, 9957, 46599, 22488, 9957, 4724, 11242, 25513, 16095, 8978, 45030, 11242, 4724, 9566, 1211, 3615, 10874, 16254, 8592, 5296, 7435, 16572, 3794, 2423, 2689, 25974, 284, 32767, 9957, 22807, 5296, 28820, 16247, 22488, 18513, 7251, 3555, 4587, 7578, 5296, 24401, 34105, 1975, 1590, 9673, 25720, 25724, 995, 10632, 16472, 13412, 16606, 21984, 44945, 24793, 1211, 7251, 20498, 16247, 2655, 1863, 9957, 4032, 8032, 7435, 1829, 4117, 9673, 25720, 25724, 995, 10632, 8032, 44510, 10721], "avg_logprob": -0.26608912071379104, "compression_ratio": 1.87434554973822, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 3467.3, "end": 3467.62, "word": "و", "probability": 0.387451171875}, {"start": 3467.62, "end": 3468.18, "word": " بطلع", "probability": 0.676513671875}, {"start": 3468.18, "end": 3468.58, "word": " جديش", "probability": 0.4771321614583333}, {"start": 3468.58, "end": 3469.0, "word": " لجريس", "probability": 0.65911865234375}, {"start": 3469.0, "end": 3469.12, "word": " ال", "probability": 0.578125}, {"start": 3469.12, "end": 3469.36, "word": " common", "probability": 0.84033203125}, {"start": 3469.36, "end": 3469.86, "word": " divisor", "probability": 0.95751953125}, {"start": 3469.86, "end": 3470.4, "word": " لكل", "probability": 0.846435546875}, {"start": 3470.4, "end": 3470.82, "word": " اتنين", "probability": 0.8802490234375}, {"start": 3470.82, "end": 3471.62, "word": " متنظرين", "probability": 0.5359619140625}, {"start": 3471.62, "end": 3471.94, "word": " وبعدين", "probability": 0.6084798177083334}, {"start": 3471.94, "end": 3472.42, "word": " بضربهم", "probability": 0.8726806640625}, {"start": 3472.42, "end": 3472.56, "word": " في", "probability": 0.87060546875}, {"start": 3472.56, "end": 3472.96, "word": " بعض", "probability": 0.98193359375}, {"start": 3472.96, "end": 3473.68, "word": " بطلع", "probability": 0.859375}, {"start": 3473.68, "end": 3474.12, "word": " جديش", "probability": 0.9371744791666666}, {"start": 3474.12, "end": 3474.54, "word": " لجريس", "probability": 0.94384765625}, {"start": 3474.54, "end": 3474.68, "word": " ال", "probability": 0.95263671875}, {"start": 3474.68, "end": 3474.92, "word": " common", "probability": 0.97119140625}, {"start": 3474.92, "end": 3475.48, "word": " divisor", "probability": 0.9638671875}, {"start": 3475.48, "end": 3476.26, "word": " لمين؟", "probability": 0.5970052083333334}, {"start": 3476.26, "end": 3477.06, "word": " لكل", "probability": 0.96533203125}, {"start": 3477.06, "end": 3478.1, "word": " الأعداد", "probability": 0.808837890625}, {"start": 3478.1, "end": 3478.82, "word": " يبقى", "probability": 0.917236328125}, {"start": 3478.82, "end": 3479.26, "word": " لحد", "probability": 0.966064453125}, {"start": 3479.26, "end": 3479.66, "word": " هنا", "probability": 0.9814453125}, {"start": 3479.66, "end": 3479.82, "word": " ا", "probability": 0.20654296875}, {"start": 3479.82, "end": 3480.14, "word": " stop", "probability": 0.650390625}, {"start": 3480.14, "end": 3480.68, "word": " المرة", "probability": 0.7880859375}, {"start": 3480.68, "end": 3480.98, "word": " الجاية", "probability": 0.83642578125}, {"start": 3480.98, "end": 3481.16, "word": " ان", "probability": 0.9150390625}, {"start": 3481.16, "end": 3481.42, "word": " شاء", "probability": 0.970703125}, {"start": 3481.42, "end": 3481.48, "word": " الله", "probability": 0.94677734375}, {"start": 3481.48, "end": 3482.2, "word": " بنكمل", "probability": 0.9293619791666666}, {"start": 3482.2, "end": 3482.48, "word": " يوم", "probability": 0.962158203125}, {"start": 3482.48, "end": 3483.32, "word": " الأتنين", "probability": 0.80072021484375}, {"start": 3483.32, "end": 3484.0, "word": " و", "probability": 0.92529296875}, {"start": 3484.0, "end": 3484.6, "word": " هجيك", "probability": 0.780029296875}, {"start": 3484.6, "end": 3485.0, "word": " المرة", "probability": 0.877197265625}, {"start": 3485.0, "end": 3485.36, "word": " الجاية", "probability": 0.97314453125}, {"start": 3485.36, "end": 3486.12, "word": " هبدأ", "probability": 0.9137369791666666}], "temperature": 1.0}, {"id": 144, "seek": 351313, "start": 3486.41, "end": 3513.13, "text": "بلمة وبرهين نبدأ بنقول احنا حتى لا مابورهناش ولا حاجة بنعطي بعض المعلومات الأساسية و بنحاول نثبت هالمعلومة بواسطة من؟ بواسطة أمثلة مختلفة يمكن الكلام اللي بقوله كثير منه تفتحت لك بتلاقيش أمثلة لكن أنا بعطيك أمثلة مش هنثبت المعلومة عندك لإن المعلومة القديمة عندك بس بنحاول نثبتها من خلال الأمثلة يعطيكوا العافية", "tokens": [3555, 19528, 3660, 4032, 26890, 3224, 9957, 8717, 44510, 10721, 44945, 39648, 1975, 5016, 8315, 11331, 49975, 20193, 3714, 16758, 13063, 3224, 1863, 33599, 49429, 11331, 26108, 3660, 44945, 3615, 9566, 1829, 45030, 11242, 9673, 30241, 20498, 9307, 16247, 3794, 32277, 10632, 4032, 44945, 5016, 995, 12610, 8717, 12984, 3555, 2655, 8032, 45340, 30241, 20498, 3660, 4724, 14407, 3794, 9566, 3660, 9154, 22807, 4724, 14407, 3794, 9566, 3660, 5551, 2304, 12984, 37977, 3714, 46456, 46538, 3660, 7251, 43020, 2423, 28820, 10943, 13672, 1829, 4724, 39648, 3224, 9122, 12984, 13546, 9154, 3224, 6055, 5172, 2655, 33753, 5296, 4117, 39894, 15040, 38436, 8592, 5551, 2304, 12984, 37977, 44381, 41850, 4724, 3615, 9566, 1829, 4117, 5551, 2304, 12984, 37977, 37893, 8032, 1863, 12984, 3555, 2655, 9673, 30241, 20498, 3660, 43242, 4117, 5296, 28814, 1863, 9673, 30241, 20498, 3660, 25062, 16254, 46007, 43242, 4117, 4724, 3794, 44945, 5016, 995, 12610, 8717, 12984, 3555, 2655, 11296, 9154, 16490, 1211, 6027, 16247, 2304, 12984, 37977, 37495, 9566, 1829, 4117, 14407, 18863, 31845, 10632], "avg_logprob": -0.15262276856672197, "compression_ratio": 2.21875, "no_speech_prob": 6.61015510559082e-05, "words": [{"start": 3486.41, "end": 3487.23, "word": "بلمة", "probability": 0.5619303385416666}, {"start": 3487.23, "end": 3488.35, "word": " وبرهين", "probability": 0.7816162109375}, {"start": 3488.35, "end": 3489.23, "word": " نبدأ", "probability": 0.7540690104166666}, {"start": 3489.23, "end": 3489.61, "word": " بنقول", "probability": 0.39727783203125}, {"start": 3489.61, "end": 3489.79, "word": " احنا", "probability": 0.8404947916666666}, {"start": 3489.79, "end": 3490.05, "word": " حتى", "probability": 0.859619140625}, {"start": 3490.05, "end": 3490.19, "word": " لا", "probability": 0.468994140625}, {"start": 3490.19, "end": 3490.89, "word": " مابورهناش", "probability": 0.7251790364583334}, {"start": 3490.89, "end": 3491.09, "word": " ولا", "probability": 0.94775390625}, {"start": 3491.09, "end": 3491.51, "word": " حاجة", "probability": 0.9856770833333334}, {"start": 3491.51, "end": 3492.35, "word": " بنعطي", "probability": 0.85009765625}, {"start": 3492.35, "end": 3492.65, "word": " بعض", "probability": 0.814453125}, {"start": 3492.65, "end": 3493.21, "word": " المعلومات", "probability": 0.9853515625}, {"start": 3493.21, "end": 3493.75, "word": " الأساسية", "probability": 0.9425048828125}, {"start": 3493.75, "end": 3493.85, "word": " و", "probability": 0.6640625}, {"start": 3493.85, "end": 3494.19, "word": " بنحاول", "probability": 0.92822265625}, {"start": 3494.19, "end": 3494.73, "word": " نثبت", "probability": 0.984130859375}, {"start": 3494.73, "end": 3495.37, "word": " هالمعلومة", "probability": 0.88359375}, {"start": 3495.37, "end": 3496.01, "word": " بواسطة", "probability": 0.852099609375}, {"start": 3496.01, "end": 3496.61, "word": " من؟", "probability": 0.5115966796875}, {"start": 3496.61, "end": 3497.33, "word": " بواسطة", "probability": 0.98828125}, {"start": 3497.33, "end": 3498.01, "word": " أمثلة", 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"word": " لكن", "probability": 0.71630859375}, {"start": 3503.77, "end": 3504.11, "word": " أنا", "probability": 0.63134765625}, {"start": 3504.11, "end": 3504.59, "word": " بعطيك", "probability": 0.92734375}, {"start": 3504.59, "end": 3504.85, "word": " أمثلة", "probability": 0.98681640625}, {"start": 3504.85, "end": 3505.03, "word": " مش", "probability": 0.9560546875}, {"start": 3505.03, "end": 3505.75, "word": " هنثبت", "probability": 0.77890625}, {"start": 3505.75, "end": 3506.75, "word": " المعلومة", "probability": 0.9888916015625}, {"start": 3506.75, "end": 3507.05, "word": " عندك", "probability": 0.98876953125}, {"start": 3507.05, "end": 3507.29, "word": " لإن", "probability": 0.8704427083333334}, {"start": 3507.29, "end": 3507.83, "word": " المعلومة", "probability": 0.9866943359375}, {"start": 3507.83, "end": 3508.25, "word": " القديمة", "probability": 0.9436848958333334}, {"start": 3508.25, "end": 3508.81, "word": " عندك", "probability": 0.992919921875}, {"start": 3508.81, 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/sITeKhKUP3A.srt b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/sITeKhKUP3A.srt
new file mode 100644
index 0000000000000000000000000000000000000000..d4ea3b31e3be66810e57ef802a7d526d588f53ce
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/sITeKhKUP3A.srt
@@ -0,0 +1,1907 @@
+1
+00:00:21,680 --> 00:00:25,760
+بسم الله الرحمن الرحيم المرة اللي فاتت جئنا 
+
+2
+00:00:25,760 --> 00:00:31,020
+بنعمل discussion على chapter 9 ووصلنا إلى سؤال 46
+
+3
+00:00:31,020 --> 00:00:36,000
+ودخل علينا الوقت وطلعنا وخلّينا لليوم إن شاء الله 
+
+4
+00:00:36,000 --> 00:00:39,220
+تعالَ طبعًا هنحل كمان سؤالين غيره إن شاء الله 
+
+5
+00:00:39,220 --> 00:00:44,000
+وبعدين ندخل في الشابتر الجديد اللي هو chapter 10 على
+
+6
+00:00:44,000 --> 00:00:46,960
+أي حال السؤال كان بيقول لي لو كان الـ index تبع الـ
+
+7
+00:00:46,960 --> 00:00:50,860
+center تبع الـ group G في الـ G هو عبارة عن أربعة
+
+8
+00:00:50,860 --> 00:00:56,140
+بيقول لي إن الـ G modulo الـ center isomorphic إلى Z to
+
+9
+00:00:56,140 --> 00:01:05,460
+X product مع مين مع Z2 المرة اللي فاتت قلنا الـ
+
+10
+00:01:05,460 --> 00:01:13,790
+order للـ g للـ Z of g بيدي يساوي أربعة implies ما
+
+11
+00:01:13,790 --> 00:01:18,190
+يأتي أنه عدد الـ left cosets هو عبارة عن ما عدا عن
+
+12
+00:01:18,190 --> 00:01:23,290
+أربعة left cosets وبالتالي هذا بيخلي الـ group اللي
+
+13
+00:01:23,290 --> 00:01:30,610
+عندنا اللي هي G modulus center بتاع الـ G Z of G
+
+14
+00:01:30,610 --> 00:01:36,650
+isomorphic يا إما لـ Z أربعة يا إما لـ Z اثنين
+
+15
+00:01:36,650 --> 00:01:41,710
+external direct product مع مين مع Z اثنين مع هذه
+
+16
+00:01:41,710 --> 00:01:47,280
+أو هذه الآن قال لي اثبت أن هذا isomorphic لـ Z اثنين
+
+17
+00:01:47,280 --> 00:01:51,880
+external direct product Z اثنين يجب أن نحاول نستبعد Z
+
+18
+00:01:51,880 --> 00:01:56,340
+أربعة إن استبعدنا Z أربعة بيفضل عندنا اللي هو Z
+
+19
+00:01:56,340 --> 00:02:01,200
+اثنين external direct product مع مين مع Z اثنين طيب
+
+20
+00:02:01,200 --> 00:02:07,960
+بأجي بقول لو كان اللي هو الـ G modulus center بتاع 
+
+21
+00:02:07,960 --> 00:02:14,820
+الـ G isomorphic لـ Z أربعة دام Z أربعة هذه Cyclic
+
+22
+00:02:14,820 --> 00:02:20,660
+إذا هذه الـ group بصير ما لها Cyclic يبقى then الـ G
+
+23
+00:02:20,660 --> 00:02:27,280
+modulo الـ center بتاع الـ G is Cyclic مدام Cyclic
+
+24
+00:02:27,280 --> 00:02:34,060
+بالنظرية اللي أخذناها في هذا الشابتر يبقى
+
+25
+00:02:34,060 --> 00:02:42,000
+الـ G is abelian طيب مدام الـ G is abelian يبقى في
+
+26
+00:02:42,000 --> 00:02:46,750
+هذه الحالة أي group .. والله لا مش في الـ normal هذه
+
+27
+00:02:46,750 --> 00:02:52,550
+يبقى .. يبقى أي .. أي group في هذه الحلقة بتبقى ..
+
+28
+00:02:52,550 --> 00:02:58,790
+بتبقى normal subgroup تمام؟ مدام G is abelian
+
+29
+00:02:58,790 --> 00:03:04,710
+يبقى معنى هذا الكلام إنه إيش؟ إن الـ center بتاع
+
+30
+00:03:04,710 --> 00:03:10,190
+لـ group G بده يساوي G itself كله مدام الـ G abelian
+
+31
+00:03:11,240 --> 00:03:16,880
+يبقى معنى هذا الكلام إن الـ index بتاع الـ center
+
+32
+00:03:16,880 --> 00:03:23,440
+of G الـ center بتاع الـ G بده يساوي الـ order بتاع
+
+33
+00:03:23,440 --> 00:03:28,360
+الـ G على الـ order بتاع الـ Z of G اللي هو الـ order
+
+34
+00:03:28,360 --> 00:03:32,340
+بتاع الـ G على الـ order بتاع الـ G يساوي كده؟
+
+35
+00:03:32,340 --> 00:03:38,200
+يساوي واحد طب هو جاي لي الـ index كده؟ كده الـ index
+
+36
+00:03:38,200 --> 00:03:44,100
+ماطلعش؟ أربعة طلع كده إن واحد معناته اللي أخذناه خطأ
+
+37
+00:03:44,100 --> 00:03:51,220
+وعكسه هو من الصح يبقى هذا this is contradiction
+
+38
+00:03:52,760 --> 00:03:57,820
+يبقى هذا تناقض ليش؟ لأن الـ index فوق يبقى كده؟
+
+39
+00:03:57,820 --> 00:04:03,100
+يبقى أربعة معناته اللي أخذناه هذا ليس صحيحًا والآخر
+
+40
+00:04:03,100 --> 00:04:08,500
+هو الصحيح يعني معنى هذا الكلام إن الـ G modulus
+
+41
+00:04:08,500 --> 00:04:14,660
+center of G is not isomorphic لمين إلى Z أربعة 
+
+42
+00:04:14,660 --> 00:04:24,160
+يبقى it remains that يبقى إنه الـ G-modulus center
+
+43
+00:04:24,160 --> 00:04:30,380
+بتاع الـ G-isomorphic لمين؟ لـ Z اثنين external direct
+
+44
+00:04:30,380 --> 00:04:34,020
+product مع من؟ مع Z اثنين
+
+45
+00:04:36,750 --> 00:04:40,670
+هذا اللي كان آخر سؤال كتبناه المرة اللي فاتت ولم
+
+46
+00:04:40,670 --> 00:04:47,390
+نتمكن من حله بسبب ضيق الوقت ننتقل إلى سؤال آخر
+
+47
+00:04:47,390 --> 00:04:54,670
+وليكن سؤال 56 سؤال 56 بيقول ما
+
+48
+00:04:54,670 --> 00:05:00,600
+يأتي أن m normal subgroups الـ N normal subgroup
+
+49
+00:05:00,600 --> 00:05:08,220
+من G والـ M normal subgroup من G prove that إنه
+
+50
+00:05:08,220 --> 00:05:17,160
+هذه normal subgroup prove إن الـ N في M is a
+
+51
+00:05:17,160 --> 00:05:23,810
+normal subgroup من G هذا اللي عايزين نثبته خلي
+
+52
+00:05:23,810 --> 00:05:29,770
+بالك هنا قال لي N normal subgroup من G و M normal
+
+53
+00:05:29,770 --> 00:05:35,390
+subgroup من G اثبت لي إن حاصل ضرب الـ N في M هو
+
+54
+00:05:35,390 --> 00:05:40,850
+normal subgroup من G إذا إحنا هنا بدنا نثبت شغلتين
+
+55
+00:05:40,850 --> 00:05:45,170
+الشغلة الأولى بدنا نثبت إنه حاصل الضرب هذا الـ
+
+56
+00:05:45,170 --> 00:05:49,690
+subgroup قبل كل شيء لإنه ما مر علينا قبل هيك إن
+
+57
+00:05:49,690 --> 00:05:54,370
+حاصل ضرب two subgroups is a subgroup وطبعًا in
+
+58
+00:05:54,370 --> 00:05:55,830
+general ماهوش subgroup
+
+59
+00:06:05,300 --> 00:06:13,660
+الخطوة الأولى يبقى firstly We show that
+
+60
+00:06:13,660 --> 00:06:20,000
+إن الـ N في M is a subgroup من G هذا اللي عزيزي
+
+61
+00:06:20,000 --> 00:06:25,920
+نثبته في الأول إنها subgroup من G لذلك، بدا أقول
+
+62
+00:06:25,920 --> 00:06:35,440
+النقطة الأولى الـ N في M is non-empty ليش؟ since
+
+63
+00:06:35,440 --> 00:06:43,620
+أو because الـ E موجودة في الـ N والـ E نفسها كمان
+
+64
+00:06:43,620 --> 00:06:49,860
+موجودة في الـ M إذا هذا الكلام بده يساوي E موجودة
+
+65
+00:06:49,860 --> 00:06:57,300
+في N M يبقى الـ N Subgroup و الـ M Subgroup يبقى كل
+
+66
+00:06:57,300 --> 00:07:01,280
+واحدة فيهم تحتوي على الـ Identity Element حاصل
+
+67
+00:07:01,280 --> 00:07:05,560
+ضربهم بالـ Identity يبقى هذا موجود وإن في الـ N M
+
+68
+00:07:05,560 --> 00:07:10,360
+الآن بدي أروح أثبت إن هذا الـ Subgroup يبقى بأجي
+
+69
+00:07:10,360 --> 00:07:21,290
+أقول له let الـ X و الـ Y موجودة في الـ N M then الـ X
+
+70
+00:07:21,290 --> 00:07:27,750
+هذه بدها تساوي N1 M1 على شكل حاصل ضرب Element من N
+
+71
+00:07:27,750 --> 00:07:37,170
+و Element من M وكذلك الـ Y هتساوي عنصر ثاني N2 M2
+
+72
+00:07:38,140 --> 00:07:42,860
+طب أنا إيش بدي أثبت؟ بدي أثبت إن الـ X Y inverse
+
+73
+00:07:42,860 --> 00:07:48,880
+موجود في الـ N M لو استطعت ذلك لأصبحت الـ N M عبارة
+
+74
+00:07:48,880 --> 00:07:56,340
+عن subgroup إذا بدهاجي أخد الـ X Y inverse الـ X N 1
+
+75
+00:07:56,340 --> 00:08:04,530
+M 1 هذا الـ inverse
+
+76
+00:08:04,530 --> 00:08:13,530
+يبقى M2 M1  N2 N1  يبقى N2 N1 M2 M1
+
+77
+00:08:13,530 --> 00:08:16,150
+N2 N1 M2 M1 N2 N1 M2 M1 N2 N1 M2 M1 N2 N1 M2 M1
+
+78
+00:08:16,150 --> 00:08:18,870
+N2 N1 M2 M1 N2 N1 M2 M1 N2 N1 M2 M1 N2 N1 M2 M1
+
+79
+00:08:18,870 --> 00:08:19,070
+N2 N1 M2 M1 N2 N1 M2 M1 N2 N1 M2 M1 N2 N1 M2 M1
+
+80
+00:08:19,070 --> 00:08:19,190
+N2 N1 M2 M1 N2 N1 M2 M1 N2 N1 M2 M1 N2 N1 M2 M1
+
+81
+00:08:19,190 --> 00:08:27,900
+N2 N1 M2 M1 N2 N1 M2 M1 N2 N1 M2 M1  في M إذا بدأت تبدأ اللي هم
+
+82
+00:08:27,900 --> 00:08:36,220
+بعنصر ثالث يبقى لو جيت قلت هذا الكلام دي يساوي N1 M3
+
+83
+00:08:36,220 --> 00:08:46,160
+N2 inverse و الـ M3 اللي هي عبارة عن M1 M2 inverse
+
+84
+00:08:46,400 --> 00:08:51,180
+الشكل اللي عندنا هنا إذا أنا استبدلت العنصر اللي
+
+85
+00:08:51,180 --> 00:08:57,480
+اثنين هدول بعنصر بداله من من من اللي هو الـ M يبقى
+
+86
+00:08:57,480 --> 00:09:01,700
+أصبحت على الشكل اللي عندنا هنا طيب كويس استنى
+
+87
+00:09:01,700 --> 00:09:07,320
+شوية بتذكروا أول ما أخذنا الـ normal subgroup لما
+
+88
+00:09:07,320 --> 00:09:10,420
+أخذنا الـ normal subgroup أخذنا التعريف بتاعها جون
+
+89
+00:09:10,420 --> 00:09:14,760
+الـ left coset يساوي الـ right coset جون هذا لا يعني
+
+90
+00:09:14,760 --> 00:09:20,400
+إن الـ a في h بدي يساوي الـ h في a كـ small لكن هذا
+
+91
+00:09:20,400 --> 00:09:27,440
+يعني إن الـ a h one بدي يساوي h two في a يبقى إذا
+
+92
+00:09:27,440 --> 00:09:35,890
+هذا الكلام بقدر أقول يساوي يساوي N1 زي ما هي هدها
+
+93
+00:09:35,890 --> 00:09:41,490
+ها بدي أستبدله برقم آخر وأعمله تبديل مع مين مع الـ
+
+94
+00:09:41,490 --> 00:09:50,910
+M يبقى هذا بدي يعطيني N3 M3 ليش هذا الكلام because
+
+95
+00:09:50,910 --> 00:09:59,380
+اللي هو الـ N is a normal subgroup من G من تعريف الـ
+
+96
+00:09:59,380 --> 00:10:03,860
+Normality لما تبقى الـ N Normal هذا element موجود
+
+97
+00:10:03,860 --> 00:10:07,540
+في G يبقى هذا الـ element في هذا الـ element بقدر
+
+98
+00:10:07,540 --> 00:10:12,140
+أستبدله بـ element ثاني من هذا وهذا زي ما هو 
+
+99
+00:10:12,140 --> 00:10:18,940
+وبنجلب وضعهم يبقى قلت N ثلاثة M ثلاثة ليش؟ لأن الـ N
+
+100
+00:10:18,940 --> 00:10:23,780
+عبارة عن Normal Subgroup من G طب N واحد في N ثلاثة
+
+101
+00:10:23,780 --> 00:10:30,040
+وين موجود؟ وهذا الوضع موجود في الـ M ويبقى هذا الوضع
+
+102
+00:10:30,040 --> 00:10:38,560
+كله موجود في الـ NM مدام موجود في الـ NM أخذ عنصرين
+
+103
+00:10:38,560 --> 00:10:42,200
+موجودات في الـ NM وأخذت الأول في المعكس الثاني
+
+104
+00:10:42,200 --> 00:10:49,700
+وجدته موجود في الـ NM يبقى سائل الـ NM is a subgroup
+
+105
+00:10:49,700 --> 00:10:56,890
+من G بقى الآن نثبت خاصية الـ normality يبقى بأجي
+
+106
+00:10:56,890 --> 00:11:07,010
+بقول له هنا if الـ G موجود في G and الـ X موجود في الـ
+
+107
+00:11:07,010 --> 00:11:15,760
+N M أو بقدر أقول دغري هكذا ولا X ولا غيره then على
+
+108
+00:11:15,760 --> 00:11:23,800
+طول الخط G في N M إذا قلت أثبت إن هذا يساوي N M في
+
+109
+00:11:23,800 --> 00:11:29,980
+G بتم المطلوب طب الكلام هذا بدّه يساوي بقدر أقول
+
+110
+00:11:29,980 --> 00:11:32,480
+هذا NGM
+
+111
+00:11:34,870 --> 00:11:42,310
+نقدر؟ ليش؟ لأن N is normal يبقى هذا because الـ N
+
+112
+00:11:42,310 --> 00:11:47,550
+is a normal subgroup من G طب بدأجي للاتنين هدول
+
+113
+00:11:47,550 --> 00:11:53,370
+يبقى هذا الكلام هاي الـ N زي ما هي هذه الـ M في G
+
+114
+00:11:53,370 --> 00:11:58,410
+لأن الـ M normal subgroup من جهة جديدة من جهة جديدة من
+
+115
+00:11:58,410 --> 00:11:59,470
+جهة جديدة من جهة جديدة من جهة جديدة من جهة جديدة
+
+116
+00:11:59,470 --> 00:12:01,390
+من جهة جديدة من جهة جديدة من جهة جديدة من جهة
+
+117
+00:12:01,390 --> 00:12:01,850
+جديدة من جهة جديدة من جهة جديدة من جهة جديدة من
+
+118
+00:12:01,850 --> 00:12:03,790
+جهة جديدة من جهة جديدة من جهة جديدة من جهة جديدة
+
+119
+00:12:03,790 --> 00:12:07,930
+جديدة من جهة جديدة من جهة جديدة من جهة جديدة من
+
+120
+00:12:07,930 --> 00:12:11,250
+جهة جديدة من جهة جديدة من جهة جديدة من جهة جديدة
+
+121
+00:12:11,250 --> 00:12:15,170
+من جهة جديدة من جهة يعني يبقى يا شباب لما يقول لك خد لي
+
+122
+00:12:15,170 --> 00:12:18,830
+subset واثبت لي إنها normal subgroup بدك تثبت أولًا
+
+123
+00:12:18,830 --> 00:12:24,550
+إنها subgroup وبعدين بتثبت إنها normal وبالتالي
+
+124
+00:12:24,550 --> 00:12:28,890
+بيكون أجبت سؤالك إجابة كاملة يعني يمكن لو طلبت
+
+125
+00:12:28,890 --> 00:12:31,470
+سؤال زي هيك أقول لك show that نمرا واحد إنها
+
+126
+00:12:31,470 --> 00:12:36,790
+subgroup نمرا اثنين أنها normal subgroup من main
+
+127
+00:12:36,790 --> 00:12:45,780
+من G كمان سؤال آخر يبقى سؤال تسعة وستون سؤال تسعة
+
+128
+00:12:45,780 --> 00:12:50,200
+وستون بيقول لي لو كان ال order لـ G بده يساوي
+
+129
+00:12:50,200 --> 00:12:56,440
+ثلاثين و ال order لل center بتاع الـ G بده يساوي
+
+130
+00:12:56,440 --> 00:13:04,480
+خمسة بيقول لي what is the structure
+
+131
+00:13:11,390 --> 00:13:19,620
+Structure of G Modulus Center بتاع الـ G أريد أن
+
+132
+00:13:19,620 --> 00:13:24,380
+أعرف G موديلوس سنتر بتاع الجي عبارة عن مين أو
+
+133
+00:13:24,380 --> 00:13:30,320
+أي قدرة تتطلع إن ايزو مورفك لمين بتتم المطلب يبقى
+
+134
+00:13:30,320 --> 00:13:34,600
+عندنا ال order لـ G ثلاثين وال order للسنتر يساوي
+
+135
+00:13:34,600 --> 00:13:39,260
+خمسة بقولوا شو ال structure هذا بتاع مين بتاع ال
+
+136
+00:13:39,260 --> 00:13:46,930
+center اللي عندنا طب كويس قال لي بلا كده الحين احنا
+
+137
+00:13:46,930 --> 00:13:51,670
+لو جينا كونّا ال factor group اللي عندنا اللي هي ال
+
+138
+00:13:51,670 --> 00:13:58,250
+G موديولو ال center بتاع الـ G ورحت أخدت ال order
+
+139
+00:13:58,250 --> 00:14:03,510
+لها يبقى هذا بده يساوي ال order للـ G على ال order
+
+140
+00:14:03,510 --> 00:14:11,090
+لمين؟ لـ ال center بتاع الـ G هذا بده يعطيني ثلاثين
+
+141
+00:14:11,090 --> 00:14:17,970
+على خمسة ويساوي كده إيش؟ ستة طب الستة أليست اثنين في
+
+142
+00:14:17,970 --> 00:14:27,130
+ثلاثة؟ يعني كأنها إيش؟ كأنها اثنين P والـ P أكبر من
+
+143
+00:14:27,130 --> 00:14:27,650
+اثنين
+
+144
+00:14:30,510 --> 00:14:38,530
+في عندنا نظرية في صفحة 144 النظرية في صفحة 144 بتقول
+
+145
+00:14:38,530 --> 00:14:44,930
+إذا كان ال order لجروب 2P يبقى هذي الجروب اللي
+
+146
+00:14:44,930 --> 00:14:59,330
+عندنا Z of G isomorphic لـ Z 2P أو لـ D أو لـ DP
+
+147
+00:15:01,780 --> 00:15:04,920
+طبعًا نظرية هذه أعطيناها لكم بس ما برهناهاش أقول لكم
+
+148
+00:15:04,920 --> 00:15:10,320
+ما بندهاش البرهان تمام يبقى الـ G موديلوس سنتر إذا
+
+149
+00:15:10,320 --> 00:15:15,620
+أمرك لـ Z اثنين P أو لـ D P طبعًا الـ P عندنا بقد إيش؟
+
+150
+00:15:15,620 --> 00:15:22,680
+ثلاثة طب كويس إذا استبعدنا هذه بيكون حصلنا على هذه
+
+151
+00:15:22,680 --> 00:15:29,570
+أو إذا استبعدنا هذه بيكون حصلنا على هذه يعني هذه
+
+152
+00:15:29,570 --> 00:15:35,720
+اثنين في ثلاثة وهذه D ثلاثة لأننا قلنا الـ P عندنا
+
+153
+00:15:35,720 --> 00:15:41,260
+هذه اللي هي F ثلاثة كويس يبقى هذه لو كانت
+
+154
+00:15:41,260 --> 00:15:49,260
+isomorphic للـ 2 في 3 يعني 6 يبقى هنا F الـ G
+
+155
+00:15:49,260 --> 00:15:55,740
+modulus center بتاع الـ G isomorphic لـ Z 2 في 3
+
+156
+00:15:55,740 --> 00:16:02,760
+يعني اللي هي Z 6 then الـ G modulus center إيش
+
+157
+00:16:02,760 --> 00:16:11,990
+بتكون Cyclic مدام Cyclic يبقى G مالها؟ Abelian مدام
+
+158
+00:16:11,990 --> 00:16:17,650
+Abelian يعني ال center بتاع ال group بده يساوي ال
+
+159
+00:16:17,650 --> 00:16:24,280
+group itself يعني ال order لل group بده يساوي ال
+
+160
+00:16:24,280 --> 00:16:29,800
+order لل center هذا بده يعطيك إن ال order لل
+
+161
+00:16:29,800 --> 00:16:34,920
+center بده يساوي ال order للـ G لكن احنا المعطى
+
+162
+00:16:34,920 --> 00:16:40,510
+عندنا ثلاثين وخمس هل الثلاثين بتساوي الخمسة؟
+
+163
+00:16:40,510 --> 00:16:45,910
+لا يمكن هذا الكلام this is يعني that is الثلاثين
+
+164
+00:16:45,910 --> 00:16:54,270
+بتساوي الخمسة يبقى this is impossible أو هذا تناقض
+
+165
+00:16:54,270 --> 00:17:00,670
+غير ممكن مدام غير ممكن إذا بنستبعد هذا بضالمين يبقى
+
+166
+00:17:00,670 --> 00:17:07,110
+هنا ساعة الـ G يعني نفس سكّة السؤال ذاك تقريبًا G
+
+167
+00:17:07,110 --> 00:17:14,510
+modulus center بتاع الـ G isomorphic لـ D3
+
+168
+00:17:17,120 --> 00:17:21,980
+إذا الـ structure بتاع ال group اللي عندنا هو نفس
+
+169
+00:17:21,980 --> 00:17:27,320
+الـ structure بتاع مين؟ بتاع الـ D3 والـ D3 فيها كم عنصر؟
+
+170
+00:17:27,320 --> 00:17:33,700
+ستة عناصر ضعف الرقم اللي عندنا دائمًا وأبدًا
+
+171
+00:17:43,650 --> 00:17:48,090
+ننتقل لآخر chapter اللي هو chapter عشرة اللي هو
+
+172
+00:17:48,090 --> 00:17:55,130
+group homomorphism
+
+173
+00:17:55,130 --> 00:17:59,570
+بدنا 
+
+174
+00:17:59,570 --> 00:18:05,030
+نعطي تعريف لل group homomorphism وبعد ذلك نبدأ
+
+175
+00:18:05,030 --> 00:18:10,950
+ناخد بعض الأمثلة المتعلقة بيهم يبقى definition
+
+176
+00:18:13,450 --> 00:18:18,670
+a homomorphism a homomorphism
+
+177
+00:18:18,670 --> 00:18:27,870
+في من الـ G إلى الـ G bar is a mapping is a
+
+178
+00:18:27,870 --> 00:18:36,070
+mapping يبقى هو عبارة عن دالة أو function from from
+
+179
+00:18:36,070 --> 00:18:41,130
+the group G
+
+180
+00:18:43,030 --> 00:18:49,590
+to group G بار
+
+181
+00:18:49,590 --> 00:19:01,050
+that satisfies that satisfies the condition
+
+182
+00:19:01,050 --> 00:19:06,070
+التي تحقق الشرط التي تحقق الشرط التي تحقق الشرط
+
+183
+00:19:06,070 --> 00:19:06,550
+التي تحقق الشرط التي تحقق الشرط التي تحقق الشرط
+
+184
+00:19:06,550 --> 00:19:08,550
+التي تحقق الشرط التي تحقق الشرط التي تحقق الشرط
+
+185
+00:19:08,550 --> 00:19:09,610
+التي تحقق الشرط التي تحقق الشرط التي تحقق الشرط
+
+186
+00:19:09,610 --> 00:19:09,850
+اللي تحقق الشرط اللي تحقق الشرط اللي تحقق الشرط
+
+187
+00:19:09,850 --> 00:19:15,270
+اللي تحقق الشرط اللي تحقق
+
+188
+00:19:18,520 --> 00:19:26,580
+اللي موجودات في G كمان definition آخر the kernel
+
+189
+00:19:26,580 --> 00:19:31,980
+of
+
+190
+00:19:31,980 --> 00:19:47,660
+a homomorphism في from G from a group G from a 
+
+191
+00:19:47,660 --> 00:20:02,700
+group G to a group G bar is the set is the set
+
+192
+00:20:05,710 --> 00:20:11,090
+هديلة اختصرها إلى kernel الـ Phi كل العناصر اللي
+
+193
+00:20:11,090 --> 00:20:18,250
+موجودة في G بحيث Phi of X بده يساوي ال identity
+
+194
+00:20:18,250 --> 00:20:21,050
+بتاع من؟ الـ G بار
+
+195
+00:20:42,690 --> 00:20:47,990
+نرجع لتعريفين اللي كتبناه نحاول نفهم كل تعريف ما هو
+
+196
+00:20:47,990 --> 00:20:55,930
+المقصود منه a homomorphism phi من G إلى G bar is a
+
+197
+00:20:55,930 --> 00:21:00,720
+mapping a يبقى عبارة عن function من الـ group G إلى
+
+198
+00:21:00,720 --> 00:21:06,020
+الـ group G bar والذي يحقق ال condition Phi of A
+
+199
+00:21:06,020 --> 00:21:11,140
+بده يساوي Phi of A في Phi of B لكل الـ A والـ B
+
+200
+00:21:11,140 --> 00:21:16,970
+اللي موجودة في الـ G عملية جمع يبقى باجي بقوله في
+
+201
+00:21:16,970 --> 00:21:23,530
+of A زائد الـ B بيساوي في of A زائد الـ في of B إذا
+
+202
+00:21:23,530 --> 00:21:26,690
+كانت ال operation زائد على ال group الثاني وإذا
+
+203
+00:21:26,690 --> 00:21:33,090
+كان ضرب بيكون في of A في في of B يعني يا شباب هذا
+
+204
+00:21:33,090 --> 00:21:38,270
+حاصل ضربته elements في الـ G بار بس هذا اللي بنقصدين
+
+205
+00:21:38,270 --> 00:21:43,290
+حاصل ضربه elements موجود في G يبقى كل elements
+
+206
+00:21:43,290 --> 00:21:46,850
+وين موقعهم؟ يخضعوا للعملية اللي على من؟ اللي على ال
+
+207
+00:21:46,850 --> 00:21:50,290
+group السؤال اللي بدأ أسأله بما يأتي احنا أخذنا
+
+208
+00:21:50,290 --> 00:21:54,590
+isomorphism قبل هيك وال isomorphism كان فيه ثلاث
+
+209
+00:21:54,590 --> 00:22:01,300
+خواص أظن هذه الخاصية الثالثة بناء عليه أي ايزو
+
+210
+00:22:01,300 --> 00:22:07,240
+مورفزم هو هومو مورفزم لكن العكس صحيح العكس ليس
+
+211
+00:22:07,240 --> 00:22:12,600
+صحيحًا ليس بالضرورة إن يكون كل هومو مورفزم هو ايزو
+
+212
+00:22:12,600 --> 00:22:16,520
+مورفزم لأنه لسه بدي one to one and on to نحققوا
+
+213
+00:22:16,520 --> 00:22:19,910
+ثلاث شروط عشان نصير ايزو مورفزم يبقى any
+
+214
+00:22:19,910 --> 00:22:24,830
+isomorphism is a homomorphism but the converse is
+
+215
+00:22:24,830 --> 00:22:29,410
+not necessarily تقول ليس بضرورته صحيحة هذه واحدة
+
+216
+00:22:29,410 --> 00:22:33,710
+نروح لل definition الثاني الآن بدأ يجي لقلب ال
+
+217
+00:22:33,710 --> 00:22:39,650
+homomorphism ال kern ofthe homomorphism في من G
+
+218
+00:22:39,650 --> 00:22:44,510
+إلى G بار بعرّفه بالشكل التالي kernel هاختصرها إلى
+
+219
+00:22:44,510 --> 00:22:50,050
+kernel وال homomorphism هقول kernel للفي حسب التعريف
+
+220
+00:22:50,050 --> 00:22:55,230
+بيقول لي كل الـ X في اللي موجودة في G بحيث صورتها
+
+221
+00:22:55,230 --> 00:22:59,370
+بده تعطيني ال identity element بتاع من؟ الـ G بار
+
+222
+00:22:59,370 --> 00:23:06,540
+هذا بده يخليني أطرح أكثر من سؤال السؤال الأول لما
+
+223
+00:23:06,540 --> 00:23:10,840
+أقول kernel لفاي كل الـ X اللي موجودة في G بحيث فاي
+
+224
+00:23:10,840 --> 00:23:16,320
+of X يساوي ال identity element هل هذا يعني إن
+
+225
+00:23:16,320 --> 00:23:21,680
+ال kernel لفاي هو ال identity element بتاع الـ G بار؟
+
+226
+00:23:21,680 --> 00:23:30,540
+يعني كلام غلط هذا الكلام اللي أنا بقوله واحد
+
+227
+00:23:30,540 --> 00:23:32,060
+واحد يعني كيف؟
+
+228
+00:23:35,390 --> 00:23:40,930
+يعني .. يعني أنا قصدت هل ال kernel هو ال identity
+
+229
+00:23:40,930 --> 00:23:46,710
+بتاع الـ G بار؟ لأ الإجابة خطأ، طيب السؤال الثاني هل
+
+230
+00:23:46,710 --> 00:23:53,040
+ال kernel subset من الـ G بار؟ برضه لأ لأ لإيش؟ لأن
+
+231
+00:23:53,040 --> 00:23:59,240
+كل الـ X اللي موجودة في G يعني ال kernel subset من
+
+232
+00:23:59,240 --> 00:24:03,540
+من من الـ G وليس من الـ G بار بس مين ال subset؟ كل
+
+233
+00:24:03,540 --> 00:24:12,130
+العناصر اللي موجودة في G اللي صورتهم هذا يجعلني
+
+234
+00:24:12,130 --> 00:24:18,170
+أطرح كمان تساؤل لو كان عندي isomorphism فتح كويس
+
+235
+00:24:18,170 --> 00:24:22,010
+معايا ايزو مورفزم وبدي ال kernel لهذا ال
+
+236
+00:24:22,010 --> 00:24:27,470
+isomorphism كم عنصر بقدر ألاقي فيه؟ واحد بس ليش
+
+237
+00:24:27,470 --> 00:24:31,110
+حكاية ال one to one ما فيش عنصرين بيشتركوا في نفس
+
+238
+00:24:31,110 --> 00:24:34,870
+الصورة لكن لما أنا أقول ال kernel ال phi كل الـ x
+
+239
+00:24:34,870 --> 00:24:38,390
+اللي في بحيث ال phi of x بدها تساوي ال identity
+
+240
+00:24:38,390 --> 00:24:43,010
+معناته عندي عدة عناصر بيشتركوا في نفس الصورة اللي
+
+241
+00:24:43,010 --> 00:24:46,810
+هي ال identity بتاعي الـ G بار يرجى ال kernel هو
+
+242
+00:24:46,810 --> 00:24:51,290
+حضرة العناصر اللي عندي هدول اللي من G واضح؟ يبقى
+
+243
+00:24:51,290 --> 00:24:55,970
+بدك تفهم شغل احطهالي في دماغك إن ال kernel بتاع الفاي
+
+244
+00:24:55,970 --> 00:25:02,350
+هو ال subset من G وليس من G بار مين هم هدول؟ هم
+
+245
+00:25:02,350 --> 00:25:06,590
+العناصر اللي موجودات في G واللي صورتهم بتكون ال
+
+246
+00:25:06,590 --> 00:25:12,990
+identity بتاع من؟ بتاع الـ G بار تمام نبدأ ناخد أمثلة
+
+247
+00:25:12,990 --> 00:25:14,690
+يبقى examples
+
+248
+00:25:19,440 --> 00:25:25,180
+أول مثال بدي أطرحه اللي هو الـ isomorphism يبقى
+
+249
+00:25:25,180 --> 00:25:35,440
+any isomorphism في من G إلى G bar is a
+
+250
+00:25:35,440 --> 00:25:40,680
+homomorphism بدون لشتة ولا حاجة لإنه فاهمين 
+
+251
+00:25:40,680 --> 00:25:46,760
+isomorphism يعني ثلاثة شروط ولو قلنا لك هات لي
+
+252
+00:25:46,760 --> 00:25:53,060
+مين؟ هات لي الـ kernel تبع هذا الـ isomorphism ال
+
+253
+00:25:53,060 --> 00:26:00,680
+kernel بتبع الـ Phi يساوي مين؟ الـ identity تبع الـ G 
+
+254
+00:26:00,680 --> 00:26:08,720
+ولا تبع الـ G bar؟ تبع الـ G فقط، ليش؟ because
+
+255
+00:26:08,720 --> 00:26:15,360
+أنه الـ Phi is one to one ولو واحد هيشترك مع ال
+
+256
+00:26:15,360 --> 00:26:18,880
+identity element تبع الـ G في الصورة يبقى الـ kernel
+
+257
+00:26:18,880 --> 00:26:24,000
+في هذه الحالة يساوي الـ identity يبقى هذا أبسط 
+
+258
+00:26:24,000 --> 00:26:29,260
+أنواع الأمثلة، أروح لمثال ثاني، مثال ثاني بيقول 
+
+259
+00:26:29,260 --> 00:26:29,900
+define
+
+260
+00:26:32,490 --> 00:26:38,790
+A function فاي من 
+
+261
+00:26:38,790 --> 00:26:42,830
+الـ general linear group of two by two matrices
+
+262
+00:26:42,830 --> 00:26:49,470
+over R لمن لـ set of real numbers لما أشيل منها ال
+
+263
+00:26:49,470 --> 00:26:57,830
+zero تحت عملية الضرب by فاي of A بدو يسوي ال
+
+264
+00:26:57,830 --> 00:27:05,610
+determinant للـ A، يبقى show that، show المطلوب الأول
+
+265
+00:27:05,610 --> 00:27:12,950
+نمرة a، show that phi is homomorphism، هذا المطلوب
+
+266
+00:27:12,950 --> 00:27:21,470
+الأول، المطلوب الثاني نمرة b، find الكيرن الـ main لل
+
+267
+00:27:21,470 --> 00:27:21,890
+phi
+
+268
+00:27:30,810 --> 00:27:37,750
+خلّي بالك كدا الآن مرة ثانية، عرفنا function من الـ
+
+269
+00:27:37,750 --> 00:27:41,430
+general linear group of two by two matrices over R
+
+270
+00:27:41,430 --> 00:27:45,470
+للـ R minus Zero، مجموعة الأعداد الحقيقية شيلت منها
+
+271
+00:27:45,470 --> 00:27:49,490
+الصفر وعرفنا عليها عملية الضرب سابقا، اثبتنا أنها
+
+272
+00:27:49,490 --> 00:27:55,010
+group، by Phi of A يساوي الـ determinant للـ A، الآن الـ
+
+273
+00:27:55,010 --> 00:28:00,880
+A هي عبارة عن مين؟ مصفوفة نظامها 2 في 2 ومحددها لا
+
+274
+00:28:00,880 --> 00:28:05,920
+يساوي الصفر، رقم ما يكون، يكون بعد ذلك ودناها
+
+275
+00:28:05,920 --> 00:28:10,320
+لـ determinant ليها داري الـ number يبقى
+
+276
+00:28:10,320 --> 00:28:15,160
+determinant لأ موجود في الـ R ناقص الـ zero يبقى 
+
+277
+00:28:15,160 --> 00:28:19,420
+determinant للـ A بحيث هذا الـ determinant بدي
+
+278
+00:28:19,420 --> 00:28:24,880
+يعطيني رقم غير من الصفر لأن الصفر هنا ما له مستبعد
+
+279
+00:28:25,200 --> 00:28:28,560
+قال يثبت لي أن فاي هذا هو هذا هو عبارة عن
+
+280
+00:28:28,560 --> 00:28:33,400
+homomorphism، بقوله كويس إذا بدي أروح أطبق الخاصية
+
+281
+00:28:33,400 --> 00:28:38,640
+اللي فوق عندنا هنا، يبقى بدي أخد فاي لحاصل ضرب
+
+282
+00:28:38,640 --> 00:28:44,640
+مصفوفتين، أريد أن أثبت أن هذا الكلام يساوي فاي of a
+
+283
+00:28:44,640 --> 00:28:49,300
+في فاي of b يبقى حسب الـ definition هذا الـ
+
+284
+00:28:49,300 --> 00:28:55,360
+determinant للـ a في الـ b، من الـ linear algebra هذا
+
+285
+00:28:55,360 --> 00:28:57,300
+عبارة عن الـ determinant
+
+286
+00:29:23,250 --> 00:29:30,030
+يبقى معناه كيف؟ ما هو الـ homomorphism كانت تلت شغلات و
+
+287
+00:29:30,030 --> 00:29:37,230
+ده شغلة واحدة فقط لا غير، يبقى أصبح الـ Phi of A بي
+
+288
+00:29:37,230 --> 00:29:40,670
+هي Phi of A في Phi of B لكل الـ A و الـ B اللي
+
+289
+00:29:40,670 --> 00:29:43,550
+موجودة في الـ general linear group of two by two
+
+290
+00:29:43,550 --> 00:29:48,570
+matrices over R يبقى Phi عبارة عن همومورفزمنمرة بي
+
+291
+00:29:48,570 --> 00:29:53,250
+قال لي هاتلي الـ kernel يبقى بداجي أطبقله التعريف
+
+292
+00:29:53,250 --> 00:29:58,850
+تبع الـ kernel يبقى باجي بقوله الـ kernel لـ الفاي هو
+
+293
+00:29:58,850 --> 00:30:03,690
+كل المصفوفات اللي موجودة في الـ general linear
+
+294
+00:30:03,690 --> 00:30:09,490
+group of two by two matrices over R such that أن
+
+295
+00:30:09,490 --> 00:30:16,990
+الـ Phi of A بده يساوي الـ identity تبع الـ R minus
+
+296
+00:30:16,990 --> 00:30:24,450
+الـ 0، الـ R minus الـ 0 تمام؟
+
+297
+00:30:30,650 --> 00:30:35,590
+مرة تانية بقول الآن أنا كتبت تعريف الـ kernel الذي
+
+298
+00:30:35,590 --> 00:30:40,490
+يناسب وضع المثلة، كل المصفوفات اللي موجودة في الـ
+
+299
+00:30:40,490 --> 00:30:43,690
+general linear group of two by two matrices over R
+
+300
+00:30:43,690 --> 00:30:50,840
+بحيث الـ Phi of A بده يساوي من الـ I identity، طيب الآن
+
+301
+00:30:50,840 --> 00:30:56,580
+لما أقول هذا الكلام، كل المصفوفات اللي موجودة في الـ
+
+302
+00:30:56,580 --> 00:31:00,920
+general linear group of two by two matrices over R
+
+303
+00:31:00,920 --> 00:31:06,760
+such that الـ Phi of A هو مين؟ الـ determinant للـ A
+
+304
+00:31:07,370 --> 00:31:14,710
+بدو يساوي الـ identity في هذا الـ human الواحد، طيب
+
+305
+00:31:14,710 --> 00:31:18,950
+المصفوفات الـ determinant اللي هي عبارة عن مين؟ الـ
+
+306
+00:31:18,950 --> 00:31:24,550
+special يبقى هذا الكلام بيساوي الـ special linear
+
+307
+00:31:24,550 --> 00:31:32,290
+group of two by two matrices over R، يبقى أصبح الـ
+
+308
+00:31:32,290 --> 00:31:38,550
+Kern كل المصرفات المحددة يساوي كم؟ يساوي الواحد
+
+309
+00:31:38,550 --> 00:31:49,630
+الصحيح، مثال رقم تلاتة بيقول define برضه a function
+
+310
+00:31:49,630 --> 00:31:57,420
+في من الـ set of real numbers ناقص الـ zero تحت
+
+311
+00:31:57,420 --> 00:32:03,340
+عملية الضرب إلى نفس الـ group إلى الـ set of real
+
+312
+00:32:03,340 --> 00:32:09,160
+numbers ناقص الـ zero تحت عملية الضرب بالضبط تماما
+
+313
+00:32:09,160 --> 00:32:19,170
+نهيها by فاي of X بده يساوي absolute value لـ X، برضه
+
+314
+00:32:19,170 --> 00:32:26,810
+بدي أعمل نفس اللي مطلوب هنا، نمرة a، show that phi
+
+315
+00:32:26,810 --> 00:32:36,470
+is a homomorphism، نمرة b، find الكيرن اللي من للـ phi
+
+316
+00:32:36,470 --> 00:32:40,050
+شكل اللي عندنا هنا الآن، solution
+
+317
+00:32:45,300 --> 00:32:51,380
+العملية عملية ضرب، يبقى بيقول XY حسب التعريف يبقى
+
+318
+00:32:51,380 --> 00:32:56,860
+absolute value للـ X في Y، لو راجعنا إلى الـ calculus
+
+319
+00:32:56,860 --> 00:33:00,640
+هذا absolute value للـ X في الـ absolute value
+
+320
+00:33:00,640 --> 00:33:06,180
+لماذا؟ للـ Y، الـ absolute value للـ X هي Phi of X
+
+321
+00:33:06,180 --> 00:33:11,500
+والـ absolute value للـ Y Phi of Y هذا لكل الـ X
+
+322
+00:33:11,500 --> 00:33:17,440
+والـ Y اللي موجودة في الـ R ناقص الـ Zero، لذلك Phi
+
+323
+00:33:17,440 --> 00:33:22,360
+is a homomorphism، يبقى هذه النقطة الأولى، بداجة
+
+324
+00:33:22,360 --> 00:33:29,040
+للنقطة الثانية، بدنا الكيرن للـ Phi، يبقى كل العناصر
+
+325
+00:33:29,040 --> 00:33:35,040
+اللي موجودة في الـR ناقص الـ0 بحيث Phi of X بده
+
+326
+00:33:35,040 --> 00:33:39,840
+يساوي مين؟ بده يساوي الـ0 ولا الـ1؟ بده يساوي
+
+327
+00:33:39,840 --> 00:33:45,340
+الـ1، تمام، يعني كل العناصر X اللي موجودة في الـR
+
+328
+00:33:45,340 --> 00:33:51,080
+ناقص الـ0، وصتتش ذات Absolute value للـX بده يساوي
+
+329
+00:33:51,080 --> 00:33:57,460
+1، طب مين العناصر هنا الـAbsolute فيها يساوي 1؟ بس
+
+330
+00:33:57,460 --> 00:34:01,020
+واحد وسالب واحد في غيرهم؟ يبقى الكيرن اللي لا
+
+331
+00:34:01,020 --> 00:34:06,420
+يحتوي إلا على two elements اللي هي سالب واحد وواحد
+
+332
+00:34:06,420 --> 00:34:09,800
+فقط، لغاية الـ absolute value للواحد هي بواحد، الـ
+
+333
+00:34:09,800 --> 00:34:15,660
+absolute value لسالب واحد هي اللي هي بواحد، طب مثال
+
+334
+00:34:15,660 --> 00:34:25,310
+رقم أربعة بيقول define a mapping، بدنا نعرف كمان
+
+335
+00:34:25,310 --> 00:34:34,470
+function فاي من الـ R وعليها عملية الجامعة إلى الـ R
+
+336
+00:34:34,470 --> 00:34:40,630
+plus وعليها عملية الضرب، يبقى اختلفت العمليتين بين
+
+337
+00:34:40,630 --> 00:34:50,190
+المجموعتين، by فاي of X يساوي الـ E أس X لكل الـ X
+
+338
+00:34:50,190 --> 00:34:56,890
+اللي موجودة في R، يبقى برضه نفس المطلوب، نمرا a show
+
+339
+00:34:56,890 --> 00:35:05,030
+that بيقول لي أن فاي is homomorphism، نمرا بي find
+
+340
+00:35:05,030 --> 00:35:09,190
+الـ kern الـ mainly الفاي
+
+341
+00:35:13,790 --> 00:35:20,870
+فكر في الموضوع كويس، وبدنا نيجي نثبت أو نوجد له
+
+342
+00:35:20,870 --> 00:35:29,110
+المطلبين اللي طلبهما في هذه المسألة، طبعا لما درسنا
+
+343
+00:35:29,110 --> 00:35:33,750
+الـ isomorphism ما جبناش سيرة الـ kernel على الإطلاق
+
+344
+00:35:33,750 --> 00:35:37,530
+لكن أجلنا للـ homomorphism كيف؟
+
+345
+00:35:40,170 --> 00:35:45,650
+لأنه فش غير عنصر واحد، طيب الآن بدي نبين أن هذا هو
+
+346
+00:35:45,650 --> 00:35:51,650
+homomorphism، فباجي بقوله بدي أخد في of بدي أشوف x
+
+347
+00:35:51,650 --> 00:36:02,080
+زائد y والله x في y، يبقى عملية جامعة، فاي اف اكس
+
+348
+00:36:02,080 --> 00:36:03,320
+زائد واي
+
+349
+00:36:17,560 --> 00:36:24,240
+هذا يعني إن الـ E أُس X في الـ E أُس Y عند الضرب
+
+350
+00:36:24,240 --> 00:36:29,600
+تجمع من الأسس، معلومات Calculus، تمام؟ هذا الكلام
+
+351
+00:36:29,600 --> 00:36:37,240
+يساوي Phi of X وهذا Phi of Y وهذا كله صحيح لكل الـ
+
+352
+00:36:37,240 --> 00:36:42,250
+X والـ Y اللي موجودة وين؟ اللي موجودة في الـR يبقى
+
+353
+00:36:42,250 --> 00:36:47,870
+هي أثبتناله في عبارة عن homomorphism، نمرة بيه بدنا
+
+354
+00:36:47,870 --> 00:36:54,070
+نجيب الـ kernel للـFi، الـ kernel للـFi كل الـ X اللي
+
+355
+00:36:54,070 --> 00:37:03,040
+موجودة في الـR، الـ Phi of X بده يساوي الـ identity
+
+356
+00:37:03,040 --> 00:37:09,760
+element
+
+357
+00:37:09,760 --> 00:37:18,820
+تبع الـ R plus، بقوله كويس كل الـ X اللي موجودة في R
+
+358
+00:37:18,820 --> 00:37:25,780
+بحيث أن Phi of X هي مين؟ إيقص X تمام؟ وهذا الـ
+
+359
+00:37:25,780 --> 00:37:33,570
+identity element اللي هو واحد، صحيح في غيره؟ ممتاز
+
+360
+00:37:33,570 --> 00:37:40,790
+جدا، يبقى هذه هها بدها تساوي Zero فقط، يعني X التي
+
+361
+00:37:40,790 --> 00:37:46,130
+تساوي Zero اللي موجودة في R هي حل المعادلة هذه
+
+362
+00:37:46,130 --> 00:37:54,430
+because X تساوي Zero
+
+363
+00:37:54,430 --> 00:38:09,740
+is the only solution of the equation EO6 تساوي مين؟
+
+364
+00:38:09,740 --> 00:38:15,340
+تساوي واحد، هذا هو الحل الوحيد اللي ما عندناش غيره
+
+365
+00:38:15,340 --> 00:38:23,900
+نعطي كمان مثال خمسة، نمرة A بيقول define
+
+366
+00:38:47,220 --> 00:38:58,890
+السؤال هو فاي a homomorphism والإجابة نعم أو لا بدك
+
+367
+00:38:58,890 --> 00:39:11,950
+تقولي why، نمرة بي define a function في من زد اثناش
+
+368
+00:39:12,610 --> 00:39:21,230
+إلى زد اثناش بي فاي of اكس بده يساوي تلاتة اكس
+
+369
+00:39:21,230 --> 00:39:32,490
+show that show that فاي is homomorphism
+
+370
+00:39:32,490 --> 00:39:38,990
+and find الـ kernel للفاي
+
+371
+00:39:50,090 --> 00:39:56,690
+المعارف function φي من الار بلس وعليها عملية الضرب
+
+372
+00:39:56,690 --> 00:40:00,070
+لار بلس وعليها عملية الضرب يبقى من مجموعة العدد
+
+373
+00:40:00,070 --> 00:40:04,750
+الحقيقية الموجبة إلى مجموعة العدد الحقيقية الموجبة
+
+374
+00:40:04,750 --> 00:40:08,430
+by five of x يساوي التلاتة اكس ويقول هل هذه
+
+375
+00:40:08,430 --> 00:40:13,010
+homomorphism ولا لأ؟ إن كان نعم لماذا؟ وإن كان لا
+
+376
+00:40:13,010 --> 00:40:19,200
+لماذا والله ما إحنا عارفين بنجي نشوف في of x في y
+
+377
+00:40:19,200 --> 00:40:25,300
+يبقى عملية ضرب فأخدت في of x في y حسب التعريف
+
+378
+00:40:25,300 --> 00:40:33,900
+تلاتة x y يعني هذه تلاتة x في مين؟ في ال y في of x
+
+379
+00:40:33,900 --> 00:40:43,030
+في ال y وليس في في of y طيب خدلي الآن في of x في في
+
+380
+00:40:43,030 --> 00:40:49,850
+of y اللي هي تلاتة x في تلاتة y يعني قد إيش ساوي؟
+
+381
+00:40:49,850 --> 00:40:57,490
+تسعة x y المعنى هذا الكلام أن ال في of x y لا
+
+382
+00:40:57,490 --> 00:41:07,810
+يساوي في of x في في of y يبقى هنا ال في is not
+
+383
+00:41:09,550 --> 00:41:15,850
+Homomorphism تعال خدلي نمرّ بيه نمرّ بيه بنفس
+
+384
+00:41:15,850 --> 00:41:23,330
+الطريقة بس ال operation هنا شباب إيش؟ جمع يبقى في of x
+
+385
+00:41:23,330 --> 00:41:30,270
+زائد ال y يساوي تلاتة في x زائد y يبقى تلاتة x زائد
+
+386
+00:41:30,270 --> 00:41:38,270
+تلاتة y يبقى في of x زائد في of y هذا كله صحيح لكل
+
+387
+00:41:38,270 --> 00:41:43,970
+ال x و ال y اللي موجودة في Z main اتناش يبقى هنا
+
+388
+00:41:43,970 --> 00:41:53,530
+في is a homomorphism جالي هاتلي ال kernel يبقى
+
+389
+00:41:53,530 --> 00:42:00,670
+بالداجة أقوله ال kernel بتبع ال five كل ال X اللي
+
+390
+00:42:00,670 --> 00:42:07,130
+موجودة في Z12 بحيث ال five of X بدّه يساوي ال
+
+391
+00:42:07,130 --> 00:42:15,130
+identity تبع Z12 اللي هم هنا شباب ال zero تمام؟ طيب
+
+392
+00:42:15,130 --> 00:42:21,330
+بدا أتي أشوف تحت تأثير ال homomorphism اللي هو
+
+393
+00:42:21,330 --> 00:42:28,570
+five of x بدّه يساوي تلاتة x من ال elements اللي
+
+394
+00:42:28,570 --> 00:42:33,330
+صورتها دائما و أبدا ال zero اللي عندها طبعا أكيد
+
+395
+00:42:33,330 --> 00:42:38,230
+ال zero لإنه تلاتة في zero ب zero طبعا طب من كمان؟
+
+396
+00:42:38,500 --> 00:42:43,420
+والاربعة لأن تلاتة في اربعة باطناش تعني مين؟ تعني
+
+397
+00:42:43,420 --> 00:42:50,580
+Zero في كمان تمانية تمانية في تلاتة باربعة وعشرين
+
+398
+00:42:50,580 --> 00:42:56,900
+جد اتناش مرتين يبقى تمانية في غيرهم؟ لأ يبقى الكرن
+
+399
+00:42:56,900 --> 00:43:01,200
+اللي فيه تلاتة اللي من الصفر اربعة تمانية فقط لا
+
+400
+00:43:01,200 --> 00:43:01,820
+غير
+
+401
+00:43:18,750 --> 00:43:26,610
+طب إننا نجي لأول نظرية على هذا ال isomorphism وهذه
+
+402
+00:43:26,610 --> 00:43:32,890
+تتحدث عن علاقة ال isomorphism بال elements يبقى
+
+403
+00:43:32,890 --> 00:43:37,770
+هنا theorem اللي
+
+404
+00:43:37,770 --> 00:43:48,130
+هي ال properties of elements under
+
+405
+00:43:59,930 --> 00:44:08,430
+homomorphisms نظرية بتقول let في من جي إلى جي بار
+
+406
+00:44:08,430 --> 00:44:14,790
+بأقرب
+
+407
+00:44:14,790 --> 00:44:17,370
+homomorphism
+
+408
+00:44:18,770 --> 00:44:24,550
+a group homomorphism let and
+
+409
+00:44:24,550 --> 00:44:36,390
+let الجي موجودة في الجي then النقطة الأولى اللي هي
+
+410
+00:44:36,390 --> 00:44:41,530
+five of ال identity element تبع الجي قد يقين ال
+
+411
+00:44:41,530 --> 00:44:47,180
+identity element تبع الجي بار النقطة الثانية يبقى
+
+412
+00:44:47,180 --> 00:44:53,860
+هذه هي النقطة الأولى النقطة الثانية five of g to
+
+413
+00:44:53,860 --> 00:45:02,700
+the power n يساوي five of g to the power n for all
+
+414
+00:45:02,700 --> 00:45:09,140
+in اللي موجودة في زد يعني أعداد صحيحة النقطة
+
+415
+00:45:09,140 --> 00:45:18,380
+الثالثة if ال order لل G is finite لو كان هذا
+
+416
+00:45:18,380 --> 00:45:26,840
+finite then ال order لل phi of G divides ال order
+
+417
+00:45:26,840 --> 00:45:37,080
+لمين؟ ال order ل G النقطة الرابعة ال kernel للـ Phi
+
+418
+00:45:37,080 --> 00:45:47,520
+is a subgroup من مين؟ من G النقطة الخامسة Phi of A
+
+419
+00:45:47,520 --> 00:45:56,240
+بدّه يساوي Phi of B if and only if ال A في الكيرن
+
+420
+00:45:56,240 --> 00:46:05,940
+للـ Phi بدّه يساوي ال B النقطة السادسة والأخيرة if
+
+421
+00:46:05,940 --> 00:46:13,400
+الـ phi of G بدّه ساوي الـ G prime then الـ phi
+
+422
+00:46:13,400 --> 00:46:19,200
+inverse of G prime فالعكس في جي برايم اللي هو كل
+
+423
+00:46:19,200 --> 00:46:26,520
+ال X اللي موجودة في جي بحيث أن فاي اف X بدّه ساوي
+
+424
+00:46:26,520 --> 00:46:32,180
+جي برايم واللي هي بدها تساوي جي في كيرن للفاي
+
+425
+00:46:58,070 --> 00:47:02,290
+أظن الأولى والثانية برهنهم في حالة ال isomorphism
+
+426
+00:47:02,290 --> 00:47:07,210
+وبالتالي إن البرهانات ما فيش مالناش ضايع فيه يقوموا
+
+427
+00:47:07,210 --> 00:47:13,170
+.. يبقى واحد and اتنين و approved
+
+428
+00:47:17,210 --> 00:47:25,250
+Rowed in chapter سبعة أظن ستة in chapter ستة يبقى
+
+429
+00:47:25,250 --> 00:47:32,110
+بترجعهم نفس البرهان حرفية بنجي لتلاتة تلاتة بيقول
+
+430
+00:47:32,110 --> 00:47:36,170
+لو كان ال order اللي جي يبقى بالداجة أقوله assume
+
+431
+00:47:36,170 --> 00:47:44,170
+أن ال order اللي جي بدّه يساوي n و ال n is finite
+
+432
+00:47:46,550 --> 00:47:54,210
+that is يعني أن الـG to the power N بدّه ساوي من؟
+
+433
+00:47:54,210 --> 00:48:00,330
+بدّه ساوي ال identity بدي أثبت أن ال order للصورة
+
+434
+00:48:00,330 --> 00:48:05,400
+تبعت ال G بيقسم ال order تبع من؟ ال G إحنا أثبتنا
+
+435
+00:48:05,400 --> 00:48:10,340
+هذا الكلام في حالة الـ isomorphism إنه 2 are equal
+
+436
+00:48:10,340 --> 00:48:14,200
+ال order للصورة بيعطينا ال order للأصل نفسه ال
+
+437
+00:48:14,200 --> 00:48:18,440
+order لل G هو ال order لل Phi of G هذا في حالة لو
+
+438
+00:48:18,440 --> 00:48:22,580
+كانت Phi isomorphism لكن هنا homomorphism بدي أثبت
+
+439
+00:48:22,580 --> 00:48:27,280
+أن ال order للصورة بيقسم من ال order تبع الأصل
+
+440
+00:48:27,280 --> 00:48:32,140
+بقوله بسيطة فرضنا ال order اللي G بدّه يساوي N يعني
+
+441
+00:48:32,140 --> 00:48:40,490
+finite يعني G أس N بدّه يساوي ال identity بدّه يقسم
+
+442
+00:48:40,490 --> 00:48:50,430
+ال N لذلك لو جيت قلت لخدلي ال Phi خدلي ال Phi of G
+
+443
+00:48:50,430 --> 00:48:58,360
+كله to the power N حسب الخصية رقم اتنين هذا بدي
+
+444
+00:48:58,360 --> 00:49:06,240
+يعطيني في of GN طيب في of GN اللي هي عبارة عن ال
+
+445
+00:49:06,240 --> 00:49:13,430
+identity element بتبعي ال G فاي لما اتأثر على الـ
+
+446
+00:49:13,430 --> 00:49:16,770
+identity element تبع الـG من النقطة الأولى بدي
+
+447
+00:49:16,770 --> 00:49:21,710
+اعطينا من الـ identity element تبع الـG بار إذا
+
+448
+00:49:21,710 --> 00:49:27,210
+أنا في of G رفعتها كأسل عدد طالع ال identity يبقى
+
+449
+00:49:27,210 --> 00:49:34,370
+ال order تبعها يا بيكون N يا أقل من N ويقسمين ويقسم
+
+450
+00:49:34,370 --> 00:49:38,810
+ال N على كل الأمرين ال N بتقسم نفسها صحيح لو كان
+
+451
+00:49:38,810 --> 00:49:44,670
+أصغر منها برضه بدي أقسم منها ال N يبقى هذا يعني أن
+
+452
+00:49:44,670 --> 00:49:54,260
+ال order تبع ال Phi of G ما له؟ divide ال N أظن
+
+453
+00:49:54,260 --> 00:50:00,220
+كرولري على Lagrange theorem طيب هذا الكلام يعني أن
+
+454
+00:50:00,220 --> 00:50:06,480
+ال order ل phi of G divide ال order ل G وهو
+
+455
+00:50:06,480 --> 00:50:12,240
+المطلوب هذه النقطة التالتة النقطة الرابعة ال kernel
+
+456
+00:50:12,240 --> 00:50:17,920
+subgroup هذه النقطة الرابعة أول شي ال kernel
+
+457
+00:50:25,280 --> 00:50:29,780
+اللي هو الـ Phi of الـ Identity بتابع الـ G بدّه
+
+458
+00:50:29,780 --> 00:50:34,060
+أسوأ الـ Identity تابع الـ G bar هذا يعني أن الـ
+
+459
+00:50:34,060 --> 00:50:38,560
+Identity تابع الـ G موجودة في الـ Kernel للـ Phi
+
+460
+00:50:38,560 --> 00:50:46,720
+الآن لو قلت لك خدلي XY موجودة في الـ Kernel للـ
+
+461
+00:50:46,720 --> 00:50:52,850
+Phi then الـ Phi of X بدّه يساوي الـ Identity تبع
+
+462
+00:50:52,850 --> 00:50:58,690
+الـ G bar وفي نفس الوقت الـ Phi of Y بدّه يساوي الـ
+
+463
+00:50:58,690 --> 00:51:05,580
+Identity Element تبع الـ G bar هذا بدّه يعني إن
+
+464
+00:51:05,580 --> 00:51:13,260
+الـPhi of Y الكل انفرس اللي هو عبارة عن Phi of Y
+
+465
+00:51:13,260 --> 00:51:19,640
+انفرس بدّه يساوي ال identity element تبع الـG bar
+
+466
+00:51:19,640 --> 00:51:25,040
+انفرس اللي هو الـG bar طب أنا بدي أثبت أن ال X في
+
+467
+00:51:25,040 --> 00:51:34,220
+ال Y انفرس موجود في الكيرنل لذلك بدي أخد الآن فاي
+
+468
+00:51:34,220 --> 00:51:40,660
+اف X Y انفرس والله إذا طلع يساوي ال identity يبقى
+
+469
+00:51:40,660 --> 00:51:47,160
+هذا موجود يبقى هذا الكلام بدي يعطيني في of X في في
+
+470
+00:51:47,160 --> 00:51:52,800
+of Y inverse في of X عندي بقد إيش؟ بال identity
+
+471
+00:51:52,800 --> 00:51:58,640
+element تبع ال G bar وفي of Y inverse كمان بمين؟
+
+472
+00:51:58,640 --> 00:52:04,120
+بال identity تبع ال G bar يبقى هذا الكلام بدي يساوي
+
+473
+00:52:04,120 --> 00:52:09,530
+ال identity تبع مين؟ تبع الـ G bar مدام هيك معناته
+
+474
+00:52:09,530 --> 00:52:14,930
+الـ X Y inverse موجود في الكيرن اللي الفاي هذا
+
+475
+00:52:14,930 --> 00:52:20,910
+معناه أن الكيرن اللي الفاي is a subgroup من مين؟
+
+476
+00:52:20,910 --> 00:52:28,230
+من G وبعد شوية هنتبهتلك هي إنه normal للمحاضرة
+
+477
+00:52:28,230 --> 00:52:30,910
+القادمة إن شاء الله تعالى
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/uLiOio_FRc0.srt b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/uLiOio_FRc0.srt
new file mode 100644
index 0000000000000000000000000000000000000000..29a460b12a4e580e3a0a10abf8b9ac0da287c156
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/uLiOio_FRc0.srt
@@ -0,0 +1,1878 @@
+1
+00:00:20,670 --> 00:00:26,470
+المحاضرة الصباحية حين دخلنا على ال chapter التاسع
+
+2
+00:00:26,470 --> 00:00:30,670
+اللي بتحدث عن ال normal subgroups and factor 
+
+3
+00:00:30,670 --> 00:00:37,150
+groups بدأنا بتعريف ال normal subgroup وقلنا اللي
+
+4
+00:00:37,150 --> 00:00:41,910
+لو عندي H subgroup من G بقول عنها normal لو كان ال
+
+5
+00:00:41,910 --> 00:00:45,610
+left coset يساوي ال right coset لأي element موجود
+
+6
+00:00:45,610 --> 00:00:50,620
+في ال group وبعد ذلك ذهبنا إلى نظرية وقلنا بتبقى
+
+7
+00:00:50,620 --> 00:00:54,780
+normal subgroup إذا كان ال X H X inverse subset من
+
+8
+00:00:54,780 --> 00:00:59,920
+H لكل ال X اللي موجود في ال group G وبعد ذلك قلنا
+
+9
+00:00:59,920 --> 00:01:03,760
+ممكن نجيبها عن طريق ال elements لو العنصر A موجود
+
+10
+00:01:03,760 --> 00:01:09,320
+في G والعنصر H موجود في H لأن A H A inverse بدي
+
+11
+00:01:09,320 --> 00:01:13,340
+يكون belonging to H إن حدث ذلك أي واحدة من
+
+12
+00:01:13,340 --> 00:01:16,600
+الحالات الثلاث لأنها دول بقول الـH هي normal 
+
+13
+00:01:16,600 --> 00:01:23,200
+subgroup من G الآن الـG و الـH التنتين groups قال
+
+14
+00:01:23,200 --> 00:01:27,160
+أثبت أن الـexternal direct product ما بين الـG و
+
+15
+00:01:27,160 --> 00:01:31,840
+الـidentity element تبع الـH هو normal subgroup من
+
+16
+00:01:31,840 --> 00:01:35,340
+الـexternal direct product ما بين الـG و الـH طبعا في
+
+17
+00:01:35,340 --> 00:01:40,130
+الأمثلة التابعة الصبح قلنا الـcenter أثبتناها قبل
+
+18
+00:01:40,130 --> 00:01:42,990
+ذلك subgroup الـspecial linear group of two by two
+
+19
+00:01:42,990 --> 00:01:46,530
+matrices over R أثبتناها قبل ذلك subgroup ولذلك
+
+20
+00:01:46,530 --> 00:01:50,750
+اعتمدنا على ما أخذناه سابقا و أثبتناه بس حكاية ال
+
+21
+00:01:50,750 --> 00:01:55,050
+normality لكن هذه هل أثبتناها أنها subgroup قبل
+
+22
+00:01:55,050 --> 00:01:59,310
+ذلك؟ طبعا لا يبقى هنا بكتير ما الخطوتين الخطوة
+
+23
+00:01:59,310 --> 00:02:03,530
+الأولى بدي أثبت أن هذه subgroup أولا ثم بعد ذلك
+
+24
+00:02:03,530 --> 00:02:08,130
+نثبت أنها normal subgroup مشان يكبر كلامنا صحيح
+
+25
+00:02:08,130 --> 00:02:13,330
+يبقى الخطوة الأولى بدي أقوله الـ G external direct product
+
+26
+00:02:13,330 --> 00:02:18,530
+مع ال identity element تبع ال H is not
+
+27
+00:02:18,530 --> 00:02:26,670
+empty ولا non-empty is non-empty السؤال ليش؟
+
+28
+00:02:26,670 --> 00:02:33,330
+because إن ال identity element تبع ال G و ال
+
+29
+00:02:33,330 --> 00:02:38,970
+identity element تبع ال H لإتنين هدول كلهم موجودات
+
+30
+00:02:38,970 --> 00:02:44,150
+في ال G ال external direct product مع من مع ال
+
+31
+00:02:44,150 --> 00:02:52,770
+identity لل H بالشكل اللي عندنا هنا تمام في اللي
+
+32
+00:02:52,770 --> 00:02:58,050
+هو ال group اللي عندنا تمام هذه الخطوة اللي هو
+
+33
+00:02:58,050 --> 00:03:04,970
+الخطوة الثانية بدي اخذ عنصرين لـ مثلا X و ال
+
+34
+00:03:04,970 --> 00:03:10,110
+identity element تبع ال H و ال Y و ال identity
+
+35
+00:03:10,110 --> 00:03:14,970
+element تبع ال H موجودات في ال G external direct product
+
+36
+00:03:14,970 --> 00:03:21,210
+يبقى مرة ثانية أنا عند توجه H بدي اثبت أن ال
+
+37
+00:03:21,210 --> 00:03:24,990
+external direct product ما بين ال G و ال identity element
+
+38
+00:03:24,990 --> 00:03:28,940
+تبع ال H هو subgroup من ال G external direct product ال
+
+39
+00:03:28,940 --> 00:03:33,540
+H جينا قلنا الجروب اللي عندنا هذه is non-empty
+
+40
+00:03:33,540 --> 00:03:36,720
+because ال identity اللي متبع ال G و ال identity
+
+41
+00:03:36,720 --> 00:03:41,140
+اللي متبع ال H هو ال identity element لمن للجروب
+
+42
+00:03:41,140 --> 00:03:45,100
+اللي عندنا هذا يبقى أو الـ 6 اللي عندنا هذه الـ non
+
+43
+00:03:45,100 --> 00:03:50,420
+-empty بعدين أخذت عنصرين موجودات في من في هذه الـ
+
+44
+00:03:50,420 --> 00:03:55,000
+6 بدي أحاول أثبت أن الأول في معكوس الثاني موجود في
+
+45
+00:03:55,000 --> 00:04:01,680
+هذه الـ 6 يعني لو جيت أخدت ال X مع ال identity
+
+46
+00:04:01,680 --> 00:04:07,120
+element بتابع ال H مضروب في ال Y ال identity تابع
+
+47
+00:04:07,120 --> 00:04:12,670
+ال H inverse يبقى هذا الكلام بده يساوي الـ X ال
+
+48
+00:04:12,670 --> 00:04:18,970
+identity تبع ال H مضروب في ال Y inverse هو ال E H
+
+49
+00:04:18,970 --> 00:04:22,830
+inverse بال E H itself يعني ال identity element هو
+
+50
+00:04:22,830 --> 00:04:28,870
+معكوس لنفسه يبقى هذا في ال identity element تبع ال
+
+51
+00:04:28,870 --> 00:04:34,090
+H من خلاص عملية الضرب يبقى هذا بده يعطيني X Y
+
+52
+00:04:34,090 --> 00:04:41,620
+inverse وال E H في ال E H بال E H itself الآن الـ X
+
+53
+00:04:42,740 --> 00:04:48,860
+الـ X و الـ Y كل واحدة فيهم موجودة في جي و الـ X و
+
+54
+00:04:48,860 --> 00:04:53,740
+الـ Y في جي جي جروب يبقى هذا موجود على طول الخط في
+
+55
+00:04:53,740 --> 00:05:00,200
+الجروب جي external direct product مع مين مع اللي
+
+56
+00:05:00,200 --> 00:05:05,020
+هو ال identity element تبع الجروب H يبقى بناء على
+
+57
+00:05:05,020 --> 00:05:08,680
+المعلومة الاثنين هذول بصير هذه ال subgroup من
+
+58
+00:05:08,680 --> 00:05:14,930
+مين؟ من جي يبقى هنا sir ال g external direct product
+
+59
+00:05:14,930 --> 00:05:20,090
+مع ال identity element تبع ال h is a subgroup من
+
+60
+00:05:20,090 --> 00:05:25,990
+ال g external direct product مع ال h يبقى لغاية الآن
+
+61
+00:05:25,990 --> 00:05:30,470
+أنا أثبت ايش أثبت أنها subgroup  اللي بده يروح
+
+62
+00:05:30,470 --> 00:05:34,910
+يأثبته ال normality يبقى بده ياخد عنصر في ال group
+
+63
+00:05:34,910 --> 00:05:38,630
+الأساسية اللي هي جي external direct product معاتش واخد
+
+64
+00:05:38,630 --> 00:05:42,390
+element من ال set أو من ال subgroup اللي عندنا
+
+65
+00:05:42,390 --> 00:05:49,430
+واخد حاصل الضرب وشوف كده بده يعطيه إذا لو جيت قلت
+
+66
+00:05:49,430 --> 00:05:57,260
+هنا F ال X و ال identity element تبع ال H موجود في
+
+67
+00:05:57,260 --> 00:06:07,020
+ال G external direct product تبع ال H and ال G و ال E H
+
+68
+00:06:07,020 --> 00:06:13,060
+موجود في ال G external direct product مع ال identity
+
+69
+00:06:13,060 --> 00:06:20,800
+element تبع ال H then بدي اخذ ال X الـ Identity
+
+70
+00:06:20,800 --> 00:06:25,860
+element تبع الـ H في G والـ Identity element تبع
+
+71
+00:06:25,860 --> 00:06:31,440
+الـ H في M ان في الـ X والـ Identity element تبع
+
+72
+00:06:31,440 --> 00:06:38,180
+الـ H لكل Inverse يبقى بناء عليه هذا الكلام بده
+
+73
+00:06:38,180 --> 00:06:44,060
+يساوي هدول بده يضربهم ضرب عادي component wise يبقى
+
+74
+00:06:44,060 --> 00:06:50,000
+X في G وهنا ال identity element تبع ال H V هذا ال
+
+75
+00:06:50,000 --> 00:06:56,300
+inverse بينزل على كل منها يبقى هذا هو عبارة عن الـ
+
+76
+00:06:56,300 --> 00:07:00,940
+X inverse في ال identity element تبع ال H inverse
+
+77
+00:07:00,940 --> 00:07:06,160
+يعني نفس ال identity element يبقى هذا الكلام بده
+
+78
+00:07:06,160 --> 00:07:12,820
+يساوي XGX inverse وهذا ال identity element تبع
+
+79
+00:07:12,820 --> 00:07:17,480
+مين؟ تبع ال H هذول الأنواع الموجودة
+
+80
+00:07:20,110 --> 00:07:26,110
+XG X inverse في G لأن X في G وجي موجودة في G
+
+81
+00:07:26,110 --> 00:07:28,490
+وبالتالي X inverse موجودة في G
+
+82
+00:07:35,120 --> 00:07:43,200
+external direct product مع ميم مع ال EH لذلك أخذت عنصر في
+
+83
+00:07:43,200 --> 00:07:47,780
+عنصر من ال subset أو من ال subgroup في عنصر من ال
+
+84
+00:07:47,780 --> 00:07:51,440
+group وضربت الثلاث مع بعض اللي جبت موجودة في ال
+
+85
+00:07:51,440 --> 00:07:56,530
+subgroup اللي عندنا معنا هذا الكلام إن ال G
+
+86
+00:07:56,530 --> 00:08:02,290
+external direct Product مع الـ Identity H is a normal
+
+87
+00:08:02,290 --> 00:08:09,330
+subgroup من الـ G external direct Product مع H فلخطر
+
+88
+00:08:09,330 --> 00:08:18,170
+أخير تمرن إيدك يبقى exercise show that بيل
+
+89
+00:08:18,170 --> 00:08:24,940
+إنه الـ Identity element تبع الـ G external direct
+
+90
+00:08:24,940 --> 00:08:33,900
+product مع H is a normal subgroup من
+
+91
+00:08:33,900 --> 00:08:40,740
+الـ G external direct product مع H يعني بدل ما اخذ
+
+92
+00:08:40,740 --> 00:08:44,060
+الـ G External direct Product ما اخذش لأ بدي اخذ ال
+
+93
+00:08:44,060 --> 00:08:49,260
+identity تبع الـ G معلش و أحاول أثبت أنه Normal
+
+94
+00:08:49,260 --> 00:09:00,680
+Subgroup من الـ G External direct Product لمين لـ H مثال
+
+95
+00:09:00,680 --> 00:09:04,720
+ستة مثال ستة بقول
+
+96
+00:09:07,320 --> 00:09:14,640
+الـ H is a subgroup من G الـ H is a subgroup of G
+
+97
+00:09:14,640 --> 00:09:24,560
+and if وإذا كان ال index بتابع الـ H in G يساوي 2
+
+98
+00:09:24,560 --> 00:09:31,300
+then الـ H is a normal subgroup من G
+
+99
+00:09:45,880 --> 00:09:50,160
+هذا يعطينا معلومة جديدة المعلومة الجديدة ما كناش
+
+100
+00:09:50,160 --> 00:09:54,320
+بنعرفها قبل هيك بس المعلومة هذه بصير عندنا حقيقة
+
+101
+00:09:54,320 --> 00:09:59,160
+بعد ما نبرهنها بقول ايش لو كان عندك ال H subgroup
+
+102
+00:09:59,160 --> 00:10:03,740
+من G و ال index تبع ال subgroup ايش يعني ال index
+
+103
+00:10:03,740 --> 00:10:09,540
+يعني عدد ال left cosets أو عدد ال right cosets بدو
+
+104
+00:10:09,540 --> 00:10:13,380
+يساوي اثنين يبقى في هذه الحالة ال H بتبقى normal
+
+105
+00:10:13,380 --> 00:10:20,370
+subgroup من مالها من جي يبقى ده جي أقوله assume
+
+106
+00:10:20,370 --> 00:10:28,410
+افترض أن ال H is a subgroup من G and ال index
+
+107
+00:10:28,410 --> 00:10:36,130
+بتابع من اللي هو ال H in G بده يساوي من اثنين هذا
+
+108
+00:10:36,130 --> 00:10:44,210
+بده يعطينا we have two distinct
+
+109
+00:10:46,450 --> 00:10:56,130
+left cosets only
+
+110
+00:10:56,130 --> 00:11:06,290
+واحدة فيهم بتكون الـH itself والثانية and والثانية
+
+111
+00:11:06,290 --> 00:11:10,330
+امسك أي element من ال group واضربه في من من ال
+
+112
+00:11:10,330 --> 00:11:16,230
+group هذه طيب أنا بدي الدعوة الثانية هي G ناقص ال H
+
+113
+00:11:16,230 --> 00:11:17,090
+بنفع
+
+114
+00:11:20,090 --> 00:11:24,290
+لما ناخد الـ H كل العناصر اللي بيظلوا هي G نقص الـ
+
+115
+00:11:24,290 --> 00:11:30,110
+H ليش؟ لأن الـ two cosets يبقى يا MR coincide
+
+116
+00:11:30,110 --> 00:11:32,670
+الاثنين بنطبقوا يعني الاثنين بيساوي يعني ال
+
+117
+00:11:32,670 --> 00:11:36,210
+intersection تبعهم مش بيساوي فاي يعني ال left
+
+118
+00:11:36,210 --> 00:11:41,290
+distinct cosets بيعملوا partition على ال group G
+
+119
+00:11:41,290 --> 00:11:45,590
+إذا لما ناخد الـ H اللي بيظل بيكون هم ال left
+
+120
+00:11:45,590 --> 00:11:51,210
+cosets اللي هو الـ G ناقص الـ H طب G ناقص الـ H هذه
+
+121
+00:11:51,210 --> 00:11:57,190
+بدها تبقى على شكل element اللي هو مضروب في مين؟
+
+122
+00:11:57,190 --> 00:12:03,750
+مضروب في H والـ A هذه موجودة وين؟ موجودة في G يبقى
+
+123
+00:12:03,750 --> 00:12:07,670
+هاي ال left cosets اللي عندنا زي ما هي ال left
+
+124
+00:12:07,670 --> 00:12:11,650
+cosets كذلك زي ما هي ال right cosets يبقى باجي
+
+125
+00:12:11,650 --> 00:12:18,790
+بقول sense نظرا لأن ال index تبع ال H in G بده يساوي 
+
+126
+00:12:18,790 --> 00:12:33,850
+اتنين we have also كذلك two distinct right cosets
+
+127
+00:12:33,850 --> 00:12:37,150
+of 
+
+128
+00:12:37,150 --> 00:12:51,740
+HNG that is الأولى H والتانية برضه G ناقص ال H التي
+
+129
+00:12:51,740 --> 00:13:00,420
+بده تساوي HA إذا
+
+130
+00:13:00,420 --> 00:13:11,120
+أصبحت ال G هي عبارة عن H وAH وفي المقابل G هي H وHA
+
+131
+00:13:11,120 --> 00:13:20,390
+الإثنان نفس الشيء يبقى هنا الـ G العناصر بتابعتها
+
+132
+00:13:20,390 --> 00:13:30,710
+أو الـ G هي عبارة عن مين؟ عن ال H اتحاد H وكذلك
+
+133
+00:13:30,710 --> 00:13:40,450
+بدها تساوي اللي هو .. هذه كلها كاسيت الـ G وكمان
+
+134
+00:13:40,450 --> 00:13:50,230
+هذه مين؟ اللي هي الـ H اتحاد HA طيب
+
+135
+00:13:50,230 --> 00:13:52,890
+the Left Cosets اللي قلنا بتعمل
+
+136
+00:13:52,890 --> 00:13:58,130
+partition لمين؟ لـ G
+
+137
+00:13:58,130 --> 00:14:04,410
+the left or
+
+138
+00:14:04,410 --> 00:14:08,810
+the right or
+
+139
+00:14:08,810 --> 00:14:10,010
+the right
+
+140
+00:14:15,110 --> 00:14:36,210
+cosets make a partition of G we have أن
+
+141
+00:14:36,210 --> 00:14:49,620
+ال H اتحاد اللي هو LAH بده يساوي من LH اتحاد اللي
+
+142
+00:14:49,620 --> 00:14:53,700
+هو ال H
+
+143
+00:14:53,700 --> 00:15:02,560
+اتحاد ال AH يساوي H اتحاد ال HA طب هذا نفس ال
+
+144
+00:15:02,560 --> 00:15:05,320
+element and
+
+145
+00:15:06,980 --> 00:15:15,640
+الـ H تقاطع AH بده يساوي فاي و ال H
+
+146
+00:15:15,640 --> 00:15:20,360
+تقاطع HA بده يساوي فاي لأنه partition
+
+147
+00:15:20,360 --> 00:15:26,280
+كويس يبقى هذا ايش بده يعطينا؟ بده يعطينا ان ال AH
+
+148
+00:15:26,280 --> 00:15:32,960
+بده يساوي ال HA هذا بده يعطيلك ان ال H is a normal
+
+149
+00:15:32,960 --> 00:15:36,060
+subgroup من G
+
+150
+00:15:41,830 --> 00:15:47,330
+يبقى هذا الان من الآن فصاعدا أي subgroup ال index
+
+151
+00:15:47,330 --> 00:15:51,410
+الذي هيساوي اتنين من ال group الأصلية بتكون ال
+
+152
+00:15:51,410 --> 00:15:55,070
+subgroup هذه normal subgroup من G
+
+153
+00:15:55,070 --> 00:15:57,110
+الأصلية
+
+154
+00:16:02,330 --> 00:16:08,430
+يعني يمكن استخدام هذه أو هذا المثال في حل بعض
+
+155
+00:16:08,430 --> 00:16:12,690
+المسائل بعد ذلك أو على طول الخط إذا كان ال index
+
+156
+00:16:12,690 --> 00:16:17,410
+اتنين بدك تفهم أن هذه normal subgroup من ال group
+
+157
+00:16:17,410 --> 00:16:25,470
+الأساسية اللي هي G نمرة
+
+158
+00:16:25,470 --> 00:16:36,060
+سبعة مثال رقم سبعة you use the above example بناخد
+
+159
+00:16:36,060 --> 00:16:42,580
+المثال أعلاه to show that
+
+160
+00:16:42,580 --> 00:16:49,500
+مشان نثبت أن ال subgroup generated by R90 is a
+
+161
+00:16:49,500 --> 00:16:52,860
+normal subgroup من D4
+
+162
+00:17:10,090 --> 00:17:18,170
+هي عبارة عن
+
+163
+00:17:18,170 --> 00:17:23,070
+الـ identity element اللي هو الـ R صفر و الـ R
+
+164
+00:17:23,070 --> 00:17:31,090
+تسعين والـ R 180 والـ R 270 يبقى
+
+165
+00:17:31,090 --> 00:17:38,290
+هذا يعني أن ال order لل R تسعين بدها تساوي كده؟ بدها
+
+166
+00:17:38,290 --> 00:17:44,700
+تساوي أربعة الآن إذا أردت أن أجد ال index بتابع الـ
+
+167
+00:17:44,700 --> 00:17:51,440
+subgroup generated by R90 في الجروب D4 سيساوي ال
+
+168
+00:17:51,440 --> 00:17:57,280
+order لـ D4 مقسوما على ال order لل subgroup
+
+169
+00:17:57,280 --> 00:18:00,180
+generated by R90
+
+170
+00:18:02,880 --> 00:18:07,080
+الأولى ال order الذي هيساوي ثمانية والثانية ال
+
+171
+00:18:07,080 --> 00:18:11,780
+order الذي هيساوي أربعة يبقى ال index كده اتنين
+
+172
+00:18:11,780 --> 00:18:17,760
+يبقى هذا بده يعطينا أن ال index تبع ال subgroup
+
+173
+00:18:17,760 --> 00:18:24,820
+generated by R90 in D4 بده يساوي اتنين بروح بقوله
+
+174
+00:18:24,820 --> 00:18:31,000
+by the above example
+
+175
+00:18:32,430 --> 00:18:39,590
+المثال أعلاه هو we have أن ال subgroup generated by
+
+176
+00:18:39,590 --> 00:18:46,570
+R تسعين is a normal subgroup في D4
+
+177
+00:18:46,570 --> 00:18:57,670
+وبالتالي انتهت هذه المثال نجي
+
+178
+00:18:57,670 --> 00:19:01,270
+ل definition جديد definition
+
+179
+00:19:05,150 --> 00:19:16,290
+إذا الـ H هو عضو عادي من G ثم
+
+180
+00:19:16,290 --> 00:19:21,530
+the set of 
+
+181
+00:19:21,530 --> 00:19:29,910
+left or right cosets of H in G is called
+
+182
+00:19:34,840 --> 00:19:50,480
+cosets of H in G is called the
+
+183
+00:19:50,480 --> 00:19:59,040
+factor group is
+
+184
+00:19:59,040 --> 00:20:09,390
+called the factor group of G by H or
+
+185
+00:20:09,390 --> 00:20:23,050
+the quotient or the quotient group of G by H
+
+186
+00:20:23,050 --> 00:20:27,430
+and
+
+187
+00:20:27,430 --> 00:20:30,130
+we write
+
+188
+00:20:36,970 --> 00:20:46,030
+ونكتب نكتب
+
+189
+00:20:46,030 --> 00:20:55,430
+نكتب نكتب نكتب نكتب نكتب نكتب نكتب نكتب
+
+190
+00:20:55,430 --> 00:21:02,130
+نكتب نكتب
+
+191
+00:21:02,640 --> 00:21:11,360
+بدها تساوي كل الـ gh such that الـ g belongs to G
+
+192
+00:21:11,360 --> 00:21:15,360
+و h
+
+193
+00:21:15,360 --> 00:21:21,130
+برا كده الآن بدنا نعطي تعريف جديد هذا التعريف طبعا
+
+194
+00:21:21,130 --> 00:21:25,410
+لأول مرة وفي كلامنا نحكي على هذا التعريف العنوان
+
+195
+00:21:25,410 --> 00:21:29,690
+تبع هذا ال chapter كله كان normal subgroups and
+
+196
+00:21:29,690 --> 00:21:34,450
+factor groups كل اللي اتكلمنا عنه سابقا كان عن ال
+
+197
+00:21:34,450 --> 00:21:39,030
+normal subgroups والآن بدنا نيجي لل normal
+
+198
+00:21:39,030 --> 00:21:40,410
+subgroups
+
+199
+00:21:42,540 --> 00:21:45,980
+الذي هنبتدى نيجي لل factor group نقول لو كانت
+
+200
+00:21:45,980 --> 00:21:50,740
+ال H هي ال normal subgroup من G then the set of
+
+201
+00:21:50,740 --> 00:21:55,760
+left or right cosets of H in G is called the
+
+202
+00:21:55,760 --> 00:22:00,440
+factor group يبقى كل ال left cosets أو ال right
+
+203
+00:22:00,440 --> 00:22:06,500
+cosets لمين؟ لجروب معين عندنا ايش بسميها؟ بسميها ال
+
+204
+00:22:06,500 --> 00:22:12,160
+factor group of G by H أو بسميها ال quotient group
+
+205
+00:22:12,160 --> 00:22:16,960
+of G by H سواء قلنا ال factor group أو ال quotient
+
+206
+00:22:16,960 --> 00:22:21,160
+group كله الاثنين بنفس المعنى يعني ممكن بعض الكتب
+
+207
+00:22:21,160 --> 00:22:25,180
+تكتب ال factor group و بعض الكتب تكتب ال quotient
+
+208
+00:22:25,180 --> 00:22:28,480
+group سواء قلنا quotient group أو قلنا factor
+
+209
+00:22:28,480 --> 00:22:36,430
+الاثنين بنفس المعنى and we write the factor group as
+
+210
+00:22:36,430 --> 00:22:43,990
+G modulo H أو G by H هي كل ال elements التي على
+
+211
+00:22:43,990 --> 00:22:48,950
+شكل left cosets بحيث الـ g موجودة في G
+
+212
+00:22:51,770 --> 00:22:56,530
+أنت قلت لنا أول ما أخذنا ال cosets أن ال coset هذه
+
+213
+00:22:56,530 --> 00:23:01,610
+ليست group ليست subgroup طبعا قلت لك يمكن أن تكون
+
+214
+00:23:01,610 --> 00:23:06,390
+subgroup ويمكن أن لا تكون subgroup يوم هم ما كناش
+
+215
+00:23:06,390 --> 00:23:10,150
+ماخدينا normal subgroup لكن قلنا إذا ال element
+
+216
+00:23:10,150 --> 00:23:14,450
+الذي ضربنا فيه ال subgroup كان من نفس ال subgroup
+
+217
+00:23:14,450 --> 00:23:18,590
+بيطلع الناتج ال left coset هي ال subgroup الآن
+
+218
+00:23:18,590 --> 00:23:24,270
+احنا جبنا شغلة جديدة ايش الشغلة الجديدة؟ أن لو كانت
+
+219
+00:23:24,270 --> 00:23:30,370
+ال H هذه normal subgroup فكل الـ left cosets التي
+
+220
+00:23:30,370 --> 00:23:34,550
+عندي أو ال destined left cosets بيكونوا لي جروب جديد
+
+221
+00:23:34,550 --> 00:23:39,670
+اسمها ال factor group أو ال quotient group وهذه
+
+222
+00:23:39,670 --> 00:23:44,990
+ما كانتش قبل ذلك يبقى ال factor group أو ال quotient
+
+223
+00:23:44,990 --> 00:23:50,230
+group عناصرها كلهم left cosets أو كلهم right
+
+224
+00:23:50,230 --> 00:23:55,850
+cosets يا هذه يا هذه طيب، الآن هذا اللي احنا
+
+225
+00:23:55,850 --> 00:24:01,110
+بنقوله، الآن أنا ايش قلت؟ قلت الـ G modulo H is a
+
+226
+00:24:01,110 --> 00:24:06,410
+group مظبوط، مدام group السؤال هو مين ال operation
+
+227
+00:24:06,410 --> 00:24:11,730
+التي عليها؟ ما هو شكل الـ identity element؟ ما هو 
+
+228
+00:24:11,730 --> 00:24:16,370
+الشكل المعكوس لكل element؟ وهل ال associativity إن
+
+229
+00:24:16,370 --> 00:24:20,990
+كان جروب يقول associativity كمظهر صحيح عليها؟ يبقى
+
+230
+00:24:20,990 --> 00:24:24,950
+الدور الآن علينا أن نثبت أن هذه عبارة عن ايش،
+
+231
+00:24:24,950 --> 00:24:28,370
+عبارة عن جروب لأننا نطبق من التعريف ونقول إنها
+
+232
+00:24:28,370 --> 00:24:34,150
+جروب مدام جروب برهنها لكي نقول من الآن فصاعدا هذه
+
+233
+00:24:34,150 --> 00:24:38,440
+عبارة عن ايش، عبارة عن جروب طبعا برهنة على شكل
+
+234
+00:24:38,440 --> 00:24:45,140
+نظرية، النظرية بتقول ما يأتي to prove M النظرية
+
+235
+00:24:45,140 --> 00:24:52,060
+بتقول let G be a group أخذنا ال G عبارة عن
+
+236
+00:24:52,060 --> 00:25:00,120
+group and let H وافترض be a normal subgroup
+
+237
+00:25:08,450 --> 00:25:20,010
+normal subgroup of G then the
+
+238
+00:25:20,010 --> 00:25:28,870
+set التي هي الـ G modulo H هي عبارة عن كل العناصر
+
+239
+00:25:28,870 --> 00:25:35,390
+aH بحيث ان a موجود في G is
+
+240
+00:25:37,610 --> 00:25:52,350
+a group is a group under the operation تحت العملية
+
+241
+00:25:52,350 --> 00:26:03,750
+اللي هو aH في bH بدها تساوي abH بالشكل الذي عندنا
+242
+00:26:03,750 --> 00:26:03,930
+هنا
+
+243
+00:26:24,050 --> 00:26:29,090
+يبقى الآن في عندي شغل ثاني الشغل الأولى أنه ال H
+
+244
+00:26:29,090 --> 00:26:34,510
+normal subgroup من مين؟ من G ال factor group هذه
+
+245
+00:26:34,510 --> 00:26:38,510
+عرفت عليها operation ال operation التي أول مرة 
+
+246
+00:26:38,510 --> 00:26:43,450
+بنشوفها أن ال left coset في ال left coset بدرب ال
+
+247
+00:26:43,450 --> 00:26:46,990
+a ال element في ال element و كله مضروب في مين؟ في
+
+248
+00:26:46,990 --> 00:26:51,510
+ال subset التي عندنا تحت العملية هذه و ال H normal
+
+249
+00:26:51,510 --> 00:26:57,830
+يبقى ال G على H أو ال quotient group G by H بنسميها
+
+250
+00:26:57,830 --> 00:27:05,600
+عبارة عن group يبقى أول شغلة بدي أثبتها بدي أثبت أن 
+
+251
+00:27:05,600 --> 00:27:12,360
+هذا التعريف حقيقي يعني ال operation هذه is well 
+
+252
+00:27:12,360 --> 00:27:16,320
+defined بدي أن أثبتها أولا وبعد هيك نروح لل
+
+253
+00:27:16,320 --> 00:27:19,900
+associativity و ال identity element و ال inverse 
+
+254
+00:27:19,900 --> 00:27:22,900
+element يبقى هنا firstly
+
+255
+00:27:33,920 --> 00:27:48,960
+want to show بنروح نبين انه the given operation is
+
+256
+00:27:48,960 --> 00:28:00,320
+well defined يبقى بنثبت ان هذه معرفة تعريفا صحيحا
+
+257
+00:28:02,330 --> 00:28:12,970
+بقول له assume ان ال a prime h او ال a h بده يساوي
+
+258
+00:28:12,970 --> 00:28:16,370
+a 
+
+259
+00:28:16,370 --> 00:28:24,730
+prime h and ال b h بده يساوي b prime h
+
+260
+00:28:28,610 --> 00:28:33,950
+مشان أثبت عملية الضرب بدأ أضرب الأول هنا في الأول 
+
+261
+00:28:33,950 --> 00:28:38,790
+هنا و أثبت أنه يساوي حاصل ضرب الثاني في الثاني من 
+
+262
+00:28:38,790 --> 00:28:42,570
+هنا ان طلع الكلام هذا صحيح يبقى ال operation تبقى
+
+263
+00:28:42,570 --> 00:28:48,490
+معرفة تعريفا صحيحا يبقى انا افترضت ان اتنين هذول
+
+264
+00:28:48,490 --> 00:28:54,670
+ما لهم هذا بيسوي هذا و التاني بيسوي هذا طيب من خلال
+
+265
+00:28:54,670 --> 00:29:01,650
+هذه المعلومات دي احاول اثبت ان ال A BH بدي اسوي A
+
+266
+00:29:01,650 --> 00:29:06,930
+prime B prime H بس قبل هذا الكلام تعالوا ناخد
+
+267
+00:29:06,930 --> 00:29:12,230
+معلومة نستفيد بها في البرهان اللي بعدها الآن شباب
+
+268
+00:29:12,230 --> 00:29:19,140
+ال A prime موجودة في ال A prime H هنا a prime
+
+269
+00:29:19,140 --> 00:29:27,600
+موجودة من هنا طب هذه بيساوي هذه and ال a prime h
+
+270
+00:29:27,600 --> 00:29:34,740
+بيساوي a h هذا بيعطينا ان ال a prime موجودة في ال
+
+271
+00:29:34,740 --> 00:29:46,260
+a h هذا سيعطينا ان الـ A' بيساوي AH1 for some H1
+
+272
+00:29:46,260 --> 00:29:54,980
+اللي موجودة في H بنفس الطريقة similarly ال
+
+273
+00:29:54,980 --> 00:30:05,900
+B' موجودة في ال B'H and الـB'H بيقوم بإعطائنا 
+
+274
+00:30:05,900 --> 00:30:10,420
+الـB' موجودة في الـ BH
+
+275
+00:30:21,060 --> 00:30:26,400
+طب بدالي اخدله a prime b prime h اشوف وين بده
+
+276
+00:30:26,400 --> 00:30:33,280
+اتوصل اذا وصلتلي الى a b
+
+277
+00:30:33,280 --> 00:30:37,980
+في h بصيلة العملية معرفة تعريفا صحيحا يبقى ضرب
+
+278
+00:30:37,980 --> 00:30:41,500
+العناصر هنا يساوي ضرب العناصر هنا وبالتالي ال
+
+279
+00:30:41,500 --> 00:30:47,800
+operation هذه بتكون صحيحة طيب بداجي ال a prime هو
+
+280
+00:30:47,800 --> 00:30:56,440
+عبارة عن a h1 يبقى هذا a h1 ال b prime اللي هو b
+
+281
+00:30:56,440 --> 00:31:04,060
+h2 يبقى b اللي هو h2 بالشكل اللي عندنا هذا وهذا ال
+
+282
+00:31:04,060 --> 00:31:09,570
+h اللي هي من التانية اللي عندنا يبقى اشيلت الـ A'
+
+283
+00:31:09,990 --> 00:31:15,170
+والـ B' وحطيت قيمة كل منها يبقى هذا الكلام بده
+
+284
+00:31:15,170 --> 00:31:24,810
+يساوي A H1 BH والـ H2 طارت لإن الـ H2 موجودة وين؟
+
+285
+00:31:24,810 --> 00:31:31,750
+فاتش يبقى هذا صحيح since الـ H2 موجودة وين؟ موجودة
+
+286
+00:31:31,750 --> 00:31:42,080
+فاتشطب هذا الكلام بده يساوي a h1 في hb بي
+
+287
+00:31:42,080 --> 00:31:48,420
+في اتش حطيت مدلمين اتش بي طيب ليش؟
+
+288
+00:31:48,420 --> 00:31:56,160
+لانه قال ال itch normal subgroup يبقى هذا sense ال
+
+289
+00:31:56,160 --> 00:32:01,820
+itch is a normal subgroup من g لأن الـ H أخدنا أول
+
+290
+00:32:01,820 --> 00:32:06,280
+تعريف للـ normality أنه لو كان ال بيه H بده يساوي
+
+291
+00:32:06,280 --> 00:32:10,120
+HP لو كل ال بيه اللي موجودة في القرم يبقى هي
+
+292
+00:32:10,120 --> 00:32:14,380
+normal مدام أعطانيها normal إذا هذه الخاصية خاصية
+
+293
+00:32:14,380 --> 00:32:20,770
+ما لها محققة طب هذا الكلام بده يساويهدى فى هدى،
+
+294
+00:32:20,770 --> 00:32:28,250
+إيش هتعطينا؟ H يبقى هدى بتعطينا A H B since نظرا
+
+295
+00:32:28,250 --> 00:32:35,530
+لإن ال H one موجود وين فى H كويس هذا الكلام بده
+
+296
+00:32:35,530 --> 00:32:45,220
+يساوي A فى BH ليش؟ الـHB رجعتها إلى مين؟ إلى BH هذا
+
+297
+00:32:45,220 --> 00:32:51,500
+كلام صحيح since الـH is a normal subgroup من مين؟
+
+298
+00:32:51,500 --> 00:32:56,520
+من G وبالتالي حصل الضرب اللي عندها ده سواء حصل
+
+299
+00:32:56,520 --> 00:33:01,200
+الضرب اللي عندها ده يبقى ال operation معرفة تعريفا
+
+300
+00:33:01,200 --> 00:33:07,470
+سليما مافيش فيها أي شيء طبعا إيش بده أثبات؟ بدي
+
+301
+00:33:07,470 --> 00:33:12,130
+أثبت أن هذه عبارة عن مين؟ عن group يبقى بد ال
+
+302
+00:33:12,130 --> 00:33:15,170
+identity element و ال inverse element و ال
+
+303
+00:33:15,170 --> 00:33:19,690
+associativity بقوله بسيطة بدالي الحكاية ال
+
+304
+00:33:19,690 --> 00:33:28,290
+associativity let ال a h و ال b h و ال c h موجودة
+
+305
+00:33:28,290 --> 00:33:34,030
+في ال g modulo h let then
+
+306
+00:33:42,850 --> 00:33:48,930
+مش هنثبت خاصية ال associativity حسب ال definition
+
+307
+00:33:48,930 --> 00:33:57,170
+تبع ال operation يبقى هذا بده يساوي abh في main في
+
+308
+00:33:57,170 --> 00:34:04,960
+ch حسب التعريف نفسه كمان مرة يبقى هذا الكلام بديه
+
+309
+00:34:04,960 --> 00:34:13,020
+يساوي ايه بديه يساوي A B كله في C في H طب السؤال
+
+310
+00:34:13,020 --> 00:34:20,980
+هو الآن ال a و ال b و ال c عناصر موجودة في جي مش في 
+
+311
+00:34:20,980 --> 00:34:26,420
+هتش ال a و ال b و ال c left cosets لما تقول ال h
+
+312
+00:34:26,420 --> 00:34:30,440
+يبقى ال a جايبه من جي و ال h هي عبارة عن ال sub
+
+313
+00:34:30,440 --> 00:34:34,640
+group يبقى هذول ال elements التلاتة موجودة في ال
+
+314
+00:34:34,640 --> 00:34:39,570
+group جي G group يبقى ال associative عليها خاصية
+
+315
+00:34:39,570 --> 00:34:45,070
+صحيحة مدام خاصية صحيحة إذا بقدر أقول هذا الكلام
+
+316
+00:34:45,070 --> 00:34:52,630
+بده يساوي A في ال BCH الشكل اللي عندنا هذا طيب
+
+317
+00:34:52,630 --> 00:35:02,660
+كويس هذا يعني ايه هذا يعني انههذا يعني ان ال a h
+
+318
+00:35:02,660 --> 00:35:11,680
+في مين في ال b c h هذا بيسوي هذا نرجعها الى أصلها
+
+319
+00:35:11,680 --> 00:35:19,800
+هذا a h في هذا بقدر اقول بي اتش في مين في c h بشكل
+
+320
+00:35:19,800 --> 00:35:24,880
+لأن هذا يبقى خاصية ال associativity عليها خاصية
+
+321
+00:35:24,880 --> 00:35:32,800
+صحية طب الآن بدنا نجي لمين؟ لل identity element و
+
+322
+00:35:32,800 --> 00:35:39,120
+المعكوس تبع ال element مين تتوقع يكون ال identity
+
+323
+00:35:39,120 --> 00:35:46,060
+element تبع هذه ال group؟
+
+324
+00:35:46,060 --> 00:35:53,900
+ما دي كل عناصرها left coset ال E يعني ال H نفسها
+
+325
+00:35:53,900 --> 00:35:58,940
+ال H نفسها ال H يتسلببدك تجيب element من جيه بجيب
+
+326
+00:35:58,940 --> 00:36:02,600
+ال identity element و بضربه في مين في h اللي هو
+
+327
+00:36:02,600 --> 00:36:09,400
+بيعطينا ال h itself يبقى هنا بجيب اقوله ال h او ال
+
+328
+00:36:09,400 --> 00:36:17,840
+e h اللي هو بده يساوي h is the identity element
+
+329
+00:36:17,840 --> 00:36:29,470
+طبعا سهلة كمان هذه because لأن الـ E H في الـ A H
+
+330
+00:36:29,470 --> 00:36:38,510
+بده يساوي الـ E A H اللي هو بده يساوي الـ A H لكل
+
+331
+00:36:38,510 --> 00:36:43,670
+الـ A اللي موجودة في ال group G يجب ان اعطاني نفس
+
+332
+00:36:43,670 --> 00:36:49,190
+ال element و بالمثل كمان Similarly
+
+333
+00:36:51,670 --> 00:37:00,750
+بنفس الطريقة ال a h في مين في ال e h بده يساوي ال
+
+334
+00:37:00,750 --> 00:37:07,030
+a h لكل ال a اللي موجودة
+
+335
+00:37:07,030 --> 00:37:13,310
+في جيه طب إننا نيجي الأن لل inverse element يبقى
+
+336
+00:37:13,310 --> 00:37:16,970
+the inverse of
+
+337
+00:37:30,630 --> 00:37:37,250
+الإنفارس ينزل عالمين على الـ element و الـ H تبقى
+
+338
+00:37:37,250 --> 00:37:38,110
+كذلك
+
+339
+00:37:42,950 --> 00:37:51,800
+لو جيه تقولش لك A inverse H في الـ H أنا قلت ان هذا
+
+340
+00:37:51,800 --> 00:37:56,400
+ال element معكوس انطلع الناتج يسوى ال identity
+
+341
+00:37:56,400 --> 00:38:00,700
+element اللي هو ال H بتما المطلوب يبقى بقدر أقول
+
+342
+00:38:00,700 --> 00:38:05,620
+حسب ال definition اللي عندي هذا هذا بده يسوى A
+
+343
+00:38:05,620 --> 00:38:11,760
+inverse AH يعني AH اللي هو ال H ال identity
+
+344
+00:38:11,760 --> 00:38:15,920
+element بالمثل similarly
+
+345
+00:38:18,410 --> 00:38:25,630
+اللي هو main A H في ال A inverse H بده يساوي A A
+
+346
+00:38:25,630 --> 00:38:32,590
+inverse H اللي هو ال H يبقى بناء عليه معكوس ال A H
+
+347
+00:38:32,590 --> 00:38:37,330
+هو ال A inverse H يبقى ال identity موجود والمعكوس
+
+348
+00:38:37,330 --> 00:38:42,190
+موجود وال associativity موجودة وزيادة على ذلك
+
+349
+00:38:42,190 --> 00:38:48,070
+العملية معرفة يبقى بناء عليه الـ G modulo H is a
+
+350
+00:38:48,070 --> 00:38:59,490
+group يبقى داصر وهكذا الـ G modulo H is a group
+
+351
+00:38:59,490 --> 00:39:11,070
+under the operation تحت العملية AH في BH بده يساوي
+
+352
+00:39:11,070 --> 00:39:13,170
+ABH
+
+353
+00:39:16,370 --> 00:39:23,570
+طب لو كانت العملية عملية جامعة، ايش بيصير هذه؟ a
+
+354
+00:39:23,570 --> 00:39:31,510
+بي زائد .. اه جزء اه زائد بي اتش بيسوي a زائد بي
+
+355
+00:39:31,510 --> 00:39:37,470
+كله زائد اتش ال a و ال b ك elements مع بعضهم جامعة
+
+356
+00:39:37,470 --> 00:39:41,550
+و بيصير زائد main زائد ال subgroup اللي هي اتش كنت
+
+357
+00:39:41,550 --> 00:39:42,150
+باكتشف سهل
+
+358
+00:39:48,100 --> 00:39:53,820
+ممتاز جدا، الحين هذه إيش معناها؟ مش حاصل ضربة، هو
+
+359
+00:39:53,820 --> 00:39:59,360
+left corset، سياطتني left corset، يبقى closed لأ لأ
+
+360
+00:39:59,360 --> 00:40:03,560
+هى ماطينة يعني هى ماطينة حاصلة بتوع left cosets و
+
+361
+00:40:03,560 --> 00:40:08,060
+left cosets أثبت بس صاروا شوية أثبت ان هذه العملية
+
+362
+00:40:08,060 --> 00:40:12,620
+عملية معرفة مدى معرفة كأنه ثبتت له ال binary
+
+363
+00:40:12,620 --> 00:40:16,020
+operation على طول الخط انه حاصل ضرب two left
+
+364
+00:40:16,020 --> 00:40:19,940
+cosets بتساوي نفس حاصلة ضرب two left cosets اللى
+
+365
+00:40:19,940 --> 00:40:25,290
+بيسويها يعني هو معرفة و بتعطيه بالضبط كإنه function
+
+366
+00:40:25,290 --> 00:40:31,970
+بالضبط تمام حد أيه لقى اي تساوى لآخر بدنا نبدأ
+
+367
+00:40:31,970 --> 00:40:34,270
+ناخد أمثلة على ذلك
+
+368
+00:41:59,470 --> 00:42:04,590
+أول شيء جل الأربعة زد هي subgroup من زد وبعد ذلك
+
+369
+00:42:04,590 --> 00:42:10,550
+جل الأربعة زد هي normal subgroup من من من زد كذلك
+
+370
+00:42:10,550 --> 00:42:17,370
+السبب ليش؟ أول شيء بنعرف مين هي الأربعة زد الأربعة
+
+371
+00:42:17,370 --> 00:42:26,470
+زد اللي هي مين؟ اللي على سرها أظن zero هيك واربعة
+
+372
+00:42:26,470 --> 00:42:30,350
+و تمانية و 12 و تبقى مازال مازال مازال مازال مازال
+
+373
+00:42:30,350 --> 00:42:31,250
+مازال مازال مازال مازال مازال مازال مازال مازال
+
+374
+00:42:31,250 --> 00:42:34,570
+مازال مازال مازال مازال مازال مازال مازال مازال
+
+375
+00:42:34,570 --> 00:42:34,630
+مازال مازال مازال مازال مازال مازال مازال مازال
+
+376
+00:42:34,630 --> 00:42:35,590
+مازال مازال مازال مازال مازال مازال مازال مازال
+
+377
+00:42:35,590 --> 00:42:37,510
+مازال مازال مازال مازال مازال مازال مازال مازال
+
+378
+00:42:37,510 --> 00:42:38,610
+مازال مازال مازال مازال مازال مازال مازال مازال
+
+379
+00:42:38,610 --> 00:42:38,910
+مازال مازال مازال مازال مازال مازال مازال مازال
+
+380
+00:42:38,910 --> 00:42:41,510
+مازال مازال مازال مازال مازال مازال مازال مازال
+
+381
+00:42:41,510 --> 00:42:46,010
+مازال
+
+382
+00:42:46,010 --> 00:42:54,230
+مازال مازال
+
+383
+00:42:54,230 --> 00:42:56,030
+م
+
+384
+00:42:58,890 --> 00:43:03,130
+زد أربعة على زد والله ال-subgroup generated by
+
+385
+00:43:03,130 --> 00:43:09,110
+أربعة مظبوط يبقى الأربعة زد هي عبارة عن ال-sub 
+
+386
+00:43:09,110 --> 00:43:13,670
+group generated by أربعة هذه كنا نسميها زمان في 
+
+387
+00:43:13,670 --> 00:43:17,390
+chapter أربعة و chapter تلاتة هي ال-subgroup
+
+388
+00:43:17,390 --> 00:43:22,200
+generated by أربعة بس احنا الآن بنقول أربعة زد تمام
+
+389
+00:43:22,200 --> 00:43:26,780
+طيب الأربعة زد هذه اللي هي ال-subgroup و احنا
+
+390
+00:43:26,780 --> 00:43:31,420
+عارفين انها هذه ال-subgroup من زد ياما اثبتناها
+
+391
+00:43:31,420 --> 00:43:36,120
+تمام يبقى خلصنا الخطوة الأولى خطوة تانية جل
+
+392
+00:43:36,120 --> 00:43:41,860
+الأربعة زد normal في زد زد ال-operation اللي عليها
+
+393
+00:43:41,860 --> 00:43:47,840
+هي عملية عملية الجمع عملية الجمع abelian ولا لا طب
+
+394
+00:43:47,840 --> 00:43:51,900
+أول مثال أخدنا اليوم any subgroup of an abelian
+
+395
+00:43:51,900 --> 00:43:59,140
+group is normal يبقى هذه يبقى باجي بيقول since
+
+396
+00:43:59,140 --> 00:44:07,840
+اللي هو z is abelian يبقى 
+
+397
+00:44:07,840 --> 00:44:14,820
+الأربعة z is a normal subgroup من مين subgroup من
+
+398
+00:44:14,820 --> 00:44:20,340
+z طيب مدام normal subgroup اذا بقدر اكوّن ال-
+
+399
+00:44:20,340 --> 00:44:24,780
+quotient group أو ال-factor group يبقى باجي
+
+400
+00:44:24,780 --> 00:44:37,900
+بقوله هنا the factor group is بروح بحط له z وهي
+
+401
+00:44:37,900 --> 00:44:46,040
+الشرطة وهي اربعة zوبداجي اكتب العناصر العناصر هي
+
+402
+00:44:46,040 --> 00:44:52,700
+كلها left cosets تمام اول عنصر حد بيقدر يعطيني اول
+
+403
+00:44:52,700 --> 00:44:56,780
+عنصر من هو اللي هو ال-identity element اربعة زد
+
+404
+00:44:56,780 --> 00:45:02,660
+يعني ال-zero زائد اربعة زد انسى ال-zero يبقى اربعة 
+
+405
+00:45:02,660 --> 00:45:10,020
+زد بدي ايجي بعده مين؟ واحد زائد أربعة زد طبعا لما
+
+406
+00:45:10,020 --> 00:45:14,220
+اقول زائد لإن ال-operation اللي عندنا هي عملية مين
+
+407
+00:45:14,220 --> 00:45:18,360
+عملية الجامعة وقد أشرته إلى ذلك قبل اقل يقولنا إذا
+
+408
+00:45:18,360 --> 00:45:22,820
+العملية عملية جامعة يبقى مكتوبها واحد زائد أربعة
+
+409
+00:45:22,820 --> 00:45:29,940
+زد اللي بعده اتنين زائد أربعة زد اللي بعده تلاتة
+
+410
+00:45:29,940 --> 00:45:32,560
+زائد أربعة زد أمشي كمان؟
+
+411
+00:45:36,030 --> 00:45:40,790
+ليش مكتوب اربعة زي اربعة زي اربعة زي اربعة زي
+
+412
+00:45:40,790 --> 00:45:42,570
+اربعة زي اربعة زي اربعة زي اربعة زي اربعة زي اربعة
+
+413
+00:45:42,570 --> 00:45:45,850
+زي اربعة زي اربعة زي اربعة زي اربعة زي اربعة زي
+
+414
+00:45:45,850 --> 00:45:47,350
+اربعة زي اربعة زي اربعة زي اربعة زي اربعة زي اربعة
+
+415
+00:45:47,350 --> 00:45:47,770
+زي اربعة زي اربعة زي اربعة زي اربعة زي اربعة زي
+
+416
+00:45:47,770 --> 00:45:50,610
+اربعة زي اربعة زي اربعة زي اربعة زي اربعة زي اربعة
+
+417
+00:45:50,610 --> 00:45:51,610
+زي اربعة زي اربعة زي اربعة زي اربعة زي اربعة زي
+
+418
+00:45:51,610 --> 00:45:54,630
+اربعة زي اربعة زي اربعة زي اربعة زي اربعة زي اربعة
+
+419
+00:45:54,630 --> 00:46:04,150
+زي
+
+420
+00:46:04,150 --> 00:46:09,660
+اربعة فبنقول الآن نظرا لإن زد أبيليان هادي نورمال
+
+421
+00:46:09,660 --> 00:46:13,640
+subgroup إذا بقدر أكوّن ال-quotient group اللي هي
+
+422
+00:46:13,640 --> 00:46:17,880
+زد مضيله أربعة زد اللي عناصرها أربعة زد واحد زائد
+
+423
+00:46:17,880 --> 00:46:21,880
+أربعة زد اتنين زائد أربعة زد تلاتة زائد أربعة زد
+
+424
+00:46:21,880 --> 00:46:28,600
+الآن لو بدنا نجيب مجموع عنصرين يعني بمعنى أخر حاصل
+
+425
+00:46:28,600 --> 00:46:32,500
+ضرب عنصرين إذا كان عملية عملية ضرب كيه بده أعملهم
+
+426
+00:46:32,500 --> 00:46:37,750
+هدول؟العمل اللي كانت عندنا باجي بقول a h في b h
+
+427
+00:46:37,750 --> 00:46:43,230
+يساوي a في b في h لكن العملية عملية جامع إذا باجي
+
+428
+00:46:43,230 --> 00:46:49,070
+بقول اللي قال لو بدي اجي اخدي اتنين زائد اربعة زد
+
+429
+00:46:49,070 --> 00:46:56,110
+كل هذا ك-element زائد له تلاتة زائد اربعة زد
+
+430
+00:46:56,110 --> 00:47:03,100
+بالشكل اللي عندنا هذا يبقى هذا يسوى اتنين زائد
+
+431
+00:47:03,100 --> 00:47:08,620
+تلاتة زائد اربعة زد يبقى هذا اتنين زائد تلاتة مع
+
+432
+00:47:08,620 --> 00:47:13,760
+بعض زائد اربعة زد مش بقول اربعة زد واربعة زد اتنين
+
+433
+00:47:13,760 --> 00:47:18,020
+فاربعة زد يعني تمانية زد مافيش حاجة اسمة زيك أبدا
+
+434
+00:47:18,020 --> 00:47:23,880
+ليش انه قولنا a h في bh يسوى a في b في h فهو h
+
+435
+00:47:23,880 --> 00:47:29,700
+واحدة تمام اتنين و تلاتة خمسة في اربعة زد يعطيني
+
+436
+00:47:29,700 --> 00:47:37,120
+كده ش واحد زائد اربعة زد يبقى هذا يعطيني خمسة زائد
+
+437
+00:47:37,120 --> 00:47:44,140
+اربعة زد وهنا اللي هي عبارة عن واحد زائد اربعة زد
+
+438
+00:47:44,140 --> 00:47:52,460
+طب لو بدى اجي اقول مثلا تلاتة زائد اربعة زدهذا
+
+439
+00:47:52,460 --> 00:47:58,120
+الكل تكيب مثلا
+
+440
+00:47:58,120 --> 00:48:04,100
+يعني هذا باعتباره الجوز زائد الجوز زائد الجوز تلات
+
+441
+00:48:04,100 --> 00:48:09,100
+مرات يعني كأنه احنا بنضرب اين نضرب في تلاتة يبقى
+
+442
+00:48:09,100 --> 00:48:15,160
+بالضبط هذا هو تسعة زائد اربعة زد مش هقول اربعة زد
+
+443
+00:48:15,160 --> 00:48:21,730
+في تلاتة لأن الجميع الـ z هذه أربعة z ثابتة التسعة
+
+444
+00:48:21,730 --> 00:48:27,930
+هذه عبارة عن جدات عبارة عن واحد زائد أربعة زد و
+
+445
+00:48:27,930 --> 00:48:36,920
+هكذا طيب لو بدى أجيب أس أربعة يبقى تلاتة زائد أربعة
+
+446
+00:48:36,920 --> 00:48:43,400
+زد أس أربعة اللي هي عبارة عن تلاتة زائد أربعة زد
+
+447
+00:48:43,400 --> 00:48:49,240
+الكل تكيب زائد واحد زائد أربعة زد اللي حصلنا عليها
+
+448
+00:48:49,240 --> 00:48:54,240
+أو لو من البداية ضربنا في أربعة بتفرجش عنا يبقى
+
+449
+00:48:54,240 --> 00:49:01,890
+هذه عبارة عن تسعة زائد أربعة زد زائد اللي هو من ..
+
+450
+00:49:01,890 --> 00:49:08,810
+زائد تلاتة مش واحد هذه الكل تكيب هذه اللي هي بقى
+
+451
+00:49:08,810 --> 00:49:13,530
+هذه تلاتة زائد هذه عبارة عن مين عبارة عن واحد زائد
+
+452
+00:49:13,530 --> 00:49:21,570
+أربعة زيد هي طلعت فوق وهو هذه زائد له تلاتة زائد
+
+453
+00:49:21,570 --> 00:49:27,770
+أربعة زيد ويساوي Zero زائد أربعة زيد تلاتة واحد
+
+454
+00:49:28,230 --> 00:49:34,150
+أربعة هذه بتعطينا مين؟ أربعة زد يبقى بناء عليه
+
+455
+00:49:34,150 --> 00:49:41,450
+بقدر أقول ال-order لتلاتة زائد أربعة زد هذا كله
+
+456
+00:49:41,450 --> 00:49:47,750
+بده يساوي قداش؟ بده يساوي أربعة يبقى ال-order لهذا
+
+457
+00:49:47,750 --> 00:49:52,030
+ال-element كله بده يساوي مين؟ بده يساوي أربعة طيب
+
+458
+00:49:52,030 --> 00:50:01,760
+مدام هيك إذا هذه قولنا فيها أكم element إذا بقدر
+
+459
+00:50:01,760 --> 00:50:07,540
+أقول إنها Cyclic وهذا generator تمام؟ مش حاجات هيك
+
+460
+00:50:07,540 --> 00:50:13,540
+الواحد زائد أربعة زد generator والتلاتة زائد أربعة
+
+461
+00:50:13,540 --> 00:50:15,400
+زد برضه generator
+
+462
+00:50:17,690 --> 00:50:25,490
+يبقى هنا باجي بقول له so تلاتة زائد اربعة زد is a
+
+463
+00:50:25,490 --> 00:50:36,990
+generator is a generator for اللي هو z modulo
+
+464
+00:50:36,990 --> 00:50:44,970
+اربعة زد هذا بدي يعطيلك ان زد modulo اربعة زد is
+
+465
+00:50:44,970 --> 00:50:54,450
+cyclic مش عاجزكوا بس يبقى هنا also اللي هو z modulo
+
+466
+00:50:54,450 --> 00:51:05,790
+4z isomorphic ل مين ل z 4 طب لو عمّمت و اروح اقول in
+
+467
+00:51:05,790 --> 00:51:16,010
+general وعلى وجه العموم z modulo n في z عايز أمرك
+
+468
+00:51:16,010 --> 00:51:23,630
+لمين يا شباب ل z n من الأن فصاعدا يبقى هذا المثال
+
+469
+00:51:23,630 --> 00:51:29,730
+استفدنا منه شغلات كثيرة جدا يعطيكوا العافية ونكمل
+
+470
+00:51:29,730 --> 00:51:31,990
+ان شاء الله يوم الأثنين
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/vFbYWlDoUF4_raw.srt b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/vFbYWlDoUF4_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..a9f49cd16e50811bf4661bb90070a60534fee073
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/vFbYWlDoUF4_raw.srt
@@ -0,0 +1,1760 @@
+1
+00:00:21,550 --> 00:00:26,090
+بسم الله الرحمن الرحيم ننتقل الآن إلى ال chapter
+
+2
+00:00:26,090 --> 00:00:30,290
+الثامن ال chapter الثامن بتحدث عن ال external
+
+3
+00:00:30,290 --> 00:00:35,390
+direct products external طبعا خارجي direct product
+
+4
+00:00:35,390 --> 00:00:41,010
+ضرب product ضرب direct مباشر يبقى الضرب المباشر
+
+5
+00:00:41,010 --> 00:00:45,450
+الخارجي لمجموعة من ال groups سواء كانوا تين تين
+
+6
+00:00:45,450 --> 00:00:52,030
+تلاتة أربعة جد ما يكونواالمهم أن عددهم محدود فباجي
+
+7
+00:00:52,030 --> 00:00:56,890
+بقول افترض انه في عندنا groups من جي واحد لغاية جي
+
+8
+00:00:56,890 --> 00:01:03,770
+ان وكل واحدة فيهم finite تمام يبقى بيقول let ال
+
+9
+00:01:03,770 --> 00:01:08,030
+groups be finite collection of groups يبقى مجموعة
+
+10
+00:01:08,030 --> 00:01:12,610
+محدودة من ال groups the external direct product
+
+11
+00:01:12,610 --> 00:01:16,270
+الدرب الخارجي لهذه ال groups من جي واحد لغاية جي
+
+12
+00:01:16,270 --> 00:01:22,310
+انبعنه نعرفه كالتالي طبعا إذا كتبنا كلمة external
+
+13
+00:01:22,310 --> 00:01:29,190
+product زائد وداخل دائرة تمام؟ لكن المقصود بمين؟
+
+14
+00:01:29,190 --> 00:01:34,330
+ال external direct product يبقى هذا رمز يدل على ال
+
+15
+00:01:34,330 --> 00:01:38,830
+external direct product لمين لهذه المجموعة من ال
+
+16
+00:01:38,830 --> 00:01:45,460
+group هذا رمز لكن عمليا كيف بدي أعرف؟هو كل العناصر
+
+17
+00:01:45,460 --> 00:01:50,960
+اللي على شكل N تيوبل بحيث المركبة الأولى جاية من
+
+18
+00:01:50,960 --> 00:01:53,980
+ال group الأولى المركبة التانية جاية من ال group
+
+19
+00:01:53,980 --> 00:01:59,900
+التانية وهكذا المركبة النونية جاية من ال group رقم
+
+20
+00:01:59,900 --> 00:02:04,920
+MWhere جي موجودة في جي اي يعني جي واحد موجودة في
+
+21
+00:02:04,920 --> 00:02:08,020
+جي واحد جي اتنين موجودة في جي اتنين لغاية جي ان
+
+22
+00:02:08,020 --> 00:02:13,500
+موجودة وين في جي ام إذا من الآن فصاعدا ال external
+
+23
+00:02:13,500 --> 00:02:18,760
+product لمجموعة من ال groups هي عبارة عن ست جديدة
+
+24
+00:02:18,760 --> 00:02:23,600
+هذه الست بعد قليل سنة شهيرة انها group كل عنصر من
+
+25
+00:02:23,600 --> 00:02:29,300
+عناصر هذه ال group يتكون من inner tuple من ال
+
+26
+00:02:29,300 --> 00:02:34,210
+elementsيبقى كل element في ال group على شكل N
+
+27
+00:02:34,210 --> 00:02:39,950
+-tuple يعني جوز مكوّن من مجموعة من المراكبات ال
+
+28
+00:02:39,950 --> 00:02:44,010
+remark بتقول ال external product كله ان هذا is a
+
+29
+00:02:44,010 --> 00:02:48,450
+group under the following operation يبقى بدنا نعرف
+
+30
+00:02:48,450 --> 00:02:54,080
+binary operation على هذه ال setبحيث فعلًا يصبح هذه
+
+31
+00:02:54,080 --> 00:02:58,960
+اللي عندنا اجروب كيف ال binary operation بدي اخد
+
+32
+00:02:58,960 --> 00:03:03,540
+حاصل ضرب قوسين بالشكل اللي عندنا حاصل ضرب قوسين
+
+33
+00:03:03,540 --> 00:03:09,120
+اللي عندنا بدي اضرب component wise كل مركبة في
+
+34
+00:03:09,120 --> 00:03:14,440
+main في نظيرتهايبقى بدى يصير حصر ضرب الشكل اللى
+
+35
+00:03:14,440 --> 00:03:18,800
+عنها بدى اضرب جي واحد في جي واحد ال prime فاصلة جي
+
+36
+00:03:18,800 --> 00:03:21,580
+اتنين في جي اتنين ال prime و هكذا لغاية ما نوصل
+
+37
+00:03:21,580 --> 00:03:26,660
+الى جي ان بجي ان prime زى ما انت شايف طلع element
+
+38
+00:03:26,660 --> 00:03:31,120
+موجود وان في ال external direct product يبقى هذه
+
+39
+00:03:31,120 --> 00:03:35,140
+binary operation ضل عليك تعمل تشك هل هي
+
+40
+00:03:35,140 --> 00:03:40,750
+associative ولا لأ وال identity element تبعهايتكون
+
+41
+00:03:40,750 --> 00:03:45,130
+من ال identity element لكل group من ال groups اللي
+
+42
+00:03:45,130 --> 00:03:50,070
+عندنا يعني ال A1 هو ال identity element ل G1 ال A2
+
+43
+00:03:50,070 --> 00:03:54,390
+هو ال identity element ل G2 ال GN هو ال identity
+
+44
+00:03:54,390 --> 00:04:00,250
+element لمين لل GN ويرجل ال EI is the identity
+
+45
+00:04:00,250 --> 00:04:06,070
+element of GI وهي بتاخد من ال واحد لغاية مين لغاية
+
+46
+00:04:06,070 --> 00:04:12,140
+ال Nالمعكوس تبع هذا الوضع هو المعكوس inverse
+
+47
+00:04:12,140 --> 00:04:17,700
+المعكوس inverse يدخل على كل مركبة من هذه المركبات
+
+48
+00:04:17,700 --> 00:04:22,480
+يبقى بصير عنا جي ون انفرست جو تي وانفرست جي انفرست
+
+49
+00:04:22,480 --> 00:04:27,900
+يعني المركبة تبقى في مكانها بس بنزلها ال inverse
+
+50
+00:04:27,900 --> 00:04:32,290
+عليهالكن عندما كان لدي ساكل يا جماعة و كنت اقول
+
+51
+00:04:32,290 --> 00:04:35,390
+انني اريد ان اتبع الانفرستقرار من اين تبع هذه
+
+52
+00:04:35,390 --> 00:04:40,890
+الساكل بجيت اجلب و اضع اتجاه من الساكل او لو عندي
+
+53
+00:04:40,890 --> 00:04:45,750
+حصل ضرب عنصرين و بجيت اخد الانفرستقرار و بجيت اجلب
+
+54
+00:04:46,230 --> 00:04:50,930
+العنصر الأخير في الأول وهكذا لكن هنا لأ بيبقى
+
+55
+00:04:50,930 --> 00:04:54,990
+العنصر في مكانه بس بنزل ال main ال inverse عليه
+
+56
+00:04:54,990 --> 00:04:59,750
+نبدأ ناخد أمثلة عملية على ذلك أول مثال جالي هاتلي
+
+57
+00:04:59,750 --> 00:05:05,890
+شكل ل group U8 وU10بقول قبل ان اجيب شكل انا بدي
+
+58
+00:05:05,890 --> 00:05:11,830
+اعرف مين عناصر الـU8 ومين عناصر الـU10 فلو جيت
+
+59
+00:05:11,830 --> 00:05:17,370
+قولت له الـU8 اللي هي عناصرها كل الأعداد اللي
+
+60
+00:05:17,370 --> 00:05:21,690
+relatively prime مع mainمع تمانية اللي هو واحد،
+
+61
+00:05:21,690 --> 00:05:27,810
+تلاتة، خمسة، مين، سبعة بدي ال U عشرة كذلك كل
+
+62
+00:05:27,810 --> 00:05:32,470
+العناصر اللي تبل في راي مع مين مع العشرة اللي هو
+
+63
+00:05:32,470 --> 00:05:39,360
+واحد و تلاتة و سبعة و تسعةمن الـ two groups هذول
+
+64
+00:05:39,360 --> 00:05:43,620
+بدي أكون ال product ما بين ال two groups يبقى
+
+65
+00:05:43,620 --> 00:05:48,740
+بالداجة أقوله الآن بدي ال U8 يا external product
+
+66
+00:05:48,740 --> 00:05:57,180
+مع مين مع U10 مع مين مركبة يبقى كل عنصر من عناصر
+
+67
+00:05:57,180 --> 00:06:02,120
+ال external product يتكون عنصر من الجروب الأولى مع
+
+68
+00:06:02,120 --> 00:06:05,880
+عنصر من من من الجروب التاني يعني كل element هو
+
+69
+00:06:05,880 --> 00:06:12,200
+order pairبعد ذلك اقول له يبقى بدي اخد الواحد مع
+
+70
+00:06:12,200 --> 00:06:17,660
+مين مع اول رقم اقبله اللي هو واحد بعد هيك بدي اخد
+
+71
+00:06:17,660 --> 00:06:23,460
+الواحد مع باقى الأرقام والواحد مع التلاتة وبعدها
+
+72
+00:06:23,460 --> 00:06:29,580
+الواحد مع السبعة والواحد مع مين مع التسعة يبقى هاي
+
+73
+00:06:29,580 --> 00:06:34,040
+الأربع احتمالات الممكنة بعد هيك اللي عملت الواحد
+
+74
+00:06:34,040 --> 00:06:38,920
+بدي اعمله للتلاتةيبقى باجي بقوله و تلاتة مع واحد
+
+75
+00:06:38,920 --> 00:06:43,740
+.. تلاتة مع مين؟ مع واحد بالشكل اللي عندنا و
+
+76
+00:06:43,740 --> 00:06:50,420
+التلاتة مع التلاتة و التلاتة مع الخمسة أظن والله
+
+77
+00:06:50,420 --> 00:06:57,220
+إيه؟ و التلاتة مع السبعة و التلاتة مع التسعةاللي
+
+78
+00:06:57,220 --> 00:07:02,160
+عملته لأ تلاتة اروح اعمله كمان مع مين؟ مع الخمسة
+
+79
+00:07:02,160 --> 00:07:07,180
+مع الواحد انكمل في السطر التاني اخدنا الخمسة مع
+
+80
+00:07:07,180 --> 00:07:13,860
+الواحد يبقى الخمسة مع التلاتة و الخمسة مع السبعة و
+
+81
+00:07:13,860 --> 00:07:19,020
+الخمسة مع مين؟ مع التسعة خلصنا بديت ضللنا السبعة
+
+82
+00:07:19,470 --> 00:07:25,190
+يبقى هنا السابعة مع الواحد وهنا السابعة مع التلاتة
+
+83
+00:07:25,190 --> 00:07:33,610
+وهنا السابعة مع السابعة وبعدها مين السابعة مع مين
+
+84
+00:07:33,610 --> 00:07:40,430
+مع التسعة خلصنا أكمل صورة هدول يا جماعةست عشر أنصر
+
+85
+00:07:40,430 --> 00:07:45,130
+يبقى هذه فيها أربع elements وهذه أربع elements ال
+
+86
+00:07:45,130 --> 00:07:49,850
+external directly بتطلع ست عشر elements وكأنه ضربت
+
+87
+00:07:49,850 --> 00:07:53,210
+ال order لل group الأولى في من؟ في ال order لل
+
+88
+00:07:53,210 --> 00:07:57,930
+group التانى طب السؤال هو لو بدى أضرب أنصرين في
+
+89
+00:07:57,930 --> 00:08:02,150
+بعض بدى يطلع الناتج داخل ال group هذه لأن احنا
+
+90
+00:08:02,150 --> 00:08:06,990
+بنقول هذه group السؤال هو كيف بدأ تم عملية الضرب؟
+
+91
+00:08:07,280 --> 00:08:11,700
+يبقى بدي اختار لرقمين كبار هيك واضربهم في بعض
+
+92
+00:08:11,700 --> 00:08:17,720
+واشوف كده الناتج فمثلا سبعة و تسعة هاي سبعة و تسعة
+
+93
+00:08:17,720 --> 00:08:21,760
+ناخدهم مع خمسة و تمانية مثلا و الله خمسة و سبعة
+
+94
+00:08:21,760 --> 00:08:26,100
+مادهاش خمسة و تمانية يبقى انا لو بدي اشوف كيف بدأ
+
+95
+00:08:26,100 --> 00:08:31,020
+تم عملية الضرب فباجي بقوله بدي اخد خمسة و سبعة
+
+96
+00:08:31,020 --> 00:08:39,010
+مثلا مع سبعة و تسعة واشوف كده الناتجالضرب بين
+
+97
+00:08:39,010 --> 00:08:44,310
+الرقم الأول والرقم التاني طبقا لتعريف الضرب اللي
+
+98
+00:08:44,310 --> 00:08:49,630
+عندي بيكون module ل group الأولى والضرب الثاني هذا
+
+99
+00:08:49,630 --> 00:08:54,970
+مع هذا بيكون module main ل group التانيةيبقى هذا
+
+100
+00:08:54,970 --> 00:08:59,790
+الكلام عبارة عن خمسة في سبعة في جداش بخمسة و
+
+101
+00:08:59,790 --> 00:09:04,770
+تلاتين موديولو تمانية لأن الدرب هذا في الجروب
+
+102
+00:09:04,770 --> 00:09:08,010
+الأولى و الدرب التاني في الجروب التانية سبعة في
+
+103
+00:09:08,010 --> 00:09:13,970
+تسعة في جداش بتلاتة و ستين موديولو عشرة بالشكل
+
+104
+00:09:13,970 --> 00:09:14,570
+اللي عندنا
+
+105
+00:09:24,310 --> 00:09:28,750
+بتلاتة اتطلع لهذه التلاتة وتلاتة موجودة اه نعم
+
+106
+00:09:28,750 --> 00:09:33,310
+موجودة تمام يبقى ايش ما تضرب تضرب العنصر في نفسه
+
+107
+00:09:33,310 --> 00:09:37,090
+تضربه في عنصر تاني كيف ما يكون بدي يطلع الناتج
+
+108
+00:09:37,090 --> 00:09:41,150
+داخلها لإن قلنا عليها binary operation binary
+
+109
+00:09:41,150 --> 00:09:45,150
+operation لو أخدت two elements ضربتهم في بعض بدي
+
+110
+00:09:45,150 --> 00:09:49,990
+يكون الناتج داخل ال main داخل ال group نعطي كمان
+
+111
+00:09:49,990 --> 00:10:01,270
+مثال آخريبقى example two find
+
+112
+00:10:01,270 --> 00:10:06,990
+خلّي المعلومة اللي سألتك عنها كم عنصر هذا كنت ل 16
+
+113
+00:10:06,990 --> 00:10:10,150
+خلّيها عندك لزمالي بعد قليل
+
+114
+00:10:16,860 --> 00:10:22,900
+جليهات للـ External Direct Product لمين؟ لـ Z2 مع
+
+115
+00:10:22,900 --> 00:10:31,020
+Z3 فقط يبقى أنا بدي أعرف عناصر Z2 وعناصر Z3 وبعد
+
+116
+00:10:31,020 --> 00:10:35,160
+هيك بدي أشوف كيف بدنا نشتغل الشغل تبعهم الآن يا
+
+117
+00:10:35,160 --> 00:10:43,230
+شباب Z2 هي عبارة عن مين؟ هي عبارة عن 01الان Z
+
+118
+00:10:43,230 --> 00:10:50,510
+تلاتة هي عبارة عن Zero و واحد و اتنين تمام؟ بدي
+
+119
+00:10:50,510 --> 00:10:53,370
+اجيب ال product product تبعهم او ال external
+
+120
+00:10:53,370 --> 00:10:59,850
+product product Z two external Z three و يوسعه كم
+
+121
+00:10:59,850 --> 00:11:06,250
+عنصر تتوقع يكون هنا ستة عناصر يبقى بدي اخد ال zero
+
+122
+00:11:06,250 --> 00:11:13,690
+مع ال zero تمام؟ ال zero مع ال واحدزيرو مع اتنين
+
+123
+00:11:13,690 --> 00:11:21,950
+بعدين خلصنا الواحد مع الزيرو والواحد مع الواحد
+
+124
+00:11:21,950 --> 00:11:28,430
+والواحد مع اتنين بالشكل هذا يجيب كل العناصر اللي
+
+125
+00:11:28,430 --> 00:11:34,270
+عندنا هذه زي ما انت شايفيبقى هذه عناصر ال group
+
+126
+00:11:34,270 --> 00:11:40,150
+هذه تعالى بس نوقف شوية نبدأ بعض الملاحظات على
+
+127
+00:11:40,150 --> 00:11:45,170
+الكلام اللى احنا جايلينه طب ايش الملاحظات هذه
+
+128
+00:11:45,170 --> 00:11:50,590
+تعالى نشوف السؤال هو هل z2 external dynamic
+
+129
+00:11:50,590 --> 00:11:56,490
+product مع z3 هل هي cyclic نقول الله أعلم تعالى
+
+130
+00:11:56,490 --> 00:12:00,970
+نشوف إذا جدرنا نلاقي generatorيبقى كان بيهام
+
+131
+00:12:00,970 --> 00:12:05,270
+ماقدرنا يبقى انسى الموضوع لو مسكت اي واحد اللي
+
+132
+00:12:05,270 --> 00:12:10,270
+مقدمتهم او فيهم أسفار هدول هل ممكن يكون generator
+
+133
+00:12:10,270 --> 00:12:16,730
+يعني مش ممكن يبقى مدام فيه zero في المركبة الأولى
+
+134
+00:12:16,730 --> 00:12:21,710
+او zero في المركبة التانية فيش طيب اذا ممكن يكون
+
+135
+00:12:21,710 --> 00:12:25,850
+واحد من هدول generator تعالى نشوفهل هذا الكلام
+
+136
+00:12:25,850 --> 00:12:31,250
+ممكن؟ والله ليس ممكن يجب أن أخذ واحد و واحد أس
+
+137
+00:12:31,250 --> 00:12:35,930
+زيرو اللي هو بال identity zero zero طب لو كان أس
+
+138
+00:12:35,930 --> 00:12:41,910
+واحد يبقى بنفسه طب لو كان اتنين العملية اللي عزيزي
+
+139
+00:12:41,910 --> 00:12:47,550
+عملتش جامعة يعني هذا الكلام يجب أن يساوي اتنين في
+
+140
+00:12:47,550 --> 00:12:51,650
+واحد و واحد يعني اتنين و اتنين اللي هو يجب أن
+
+141
+00:12:51,650 --> 00:12:56,790
+يساويالاتنين الأولى موجودة في زد اتنين والاتنين في
+
+142
+00:12:56,790 --> 00:13:02,750
+زده تعني كم؟ Zero يبقى هذا Zero لكن اتنين هذه تعني
+
+143
+00:13:02,750 --> 00:13:09,410
+اتنين كما هي طيب لو روحنا اخدنا واحد واحد تكيب
+
+144
+00:13:09,410 --> 00:13:16,170
+يعني هذه تسوى تلاتة و تلاتة يبقى هذه تسوى تلاتة في
+
+145
+00:13:16,170 --> 00:13:22,670
+ال group الأولى تعني ايه؟تعني واحد تمام يعني واحد
+
+146
+00:13:22,670 --> 00:13:27,210
+تلاتة في ال group التانية تعني كده؟ Zero ماطلعش ال
+
+147
+00:13:27,210 --> 00:13:33,730
+identity طيب لو أخد واحد واحد أس أربعة يبقى هذه
+
+148
+00:13:33,730 --> 00:13:39,710
+تعني أربعة وأربعة وتساوي الأربعة في زيد اتنين تعني
+
+149
+00:13:39,710 --> 00:13:44,920
+Zero والاربعة في زيد تلاتة تعني ايه؟ما طلعش ال
+
+150
+00:13:44,920 --> 00:13:51,000
+identity طب خد الخمسة الخمسة الآن في واحد و واحد
+
+151
+00:13:51,000 --> 00:13:58,790
+تعني خمسة و خمسة خمسة و خمسة تعني واحد و اتنينطيب
+
+152
+00:13:58,790 --> 00:14:07,090
+لو روحنا اخدنا واحد و واحد قص ستة تعني ستة و ستة
+
+153
+00:14:07,090 --> 00:14:11,530
+اللي هو مين؟ Zero Zero اللي هو ال identity element
+
+154
+00:14:11,530 --> 00:14:17,530
+إذا بتقدر تقول ان ال order للواحد و واحد قداش ستة
+
+155
+00:14:18,330 --> 00:14:24,670
+يبقى هذا بده يعطينا ان ال order ل الواحد و الواحد
+
+156
+00:14:24,670 --> 00:14:29,170
+بده يساوي كده؟ بده يساوي ستة طب و ال order لل
+
+157
+00:14:29,170 --> 00:14:37,520
+group؟ يبقى andالـ order لزد اتنين external
+
+158
+00:14:37,520 --> 00:14:47,180
+product مع زد تلاتة هذا بده يساوي ستة الواحد واحد
+
+159
+00:14:47,180 --> 00:14:51,260
+is a generator
+
+160
+00:14:53,290 --> 00:15:01,350
+generator for زد اتنين external product مع زد
+
+161
+00:15:01,350 --> 00:15:08,610
+تلاتة يبقى طلعة هذه معاها cyclic يبقى هذا يعطينا
+
+162
+00:15:08,610 --> 00:15:16,050
+ان زد اتنين external product مع زد تلاتة is cyclic
+
+163
+00:15:18,200 --> 00:15:21,460
+يبقى طلعت ال group اللي عندها هذه مالها اللي هو
+
+164
+00:15:21,460 --> 00:15:26,760
+الـ cyclic group وبالتالي مدام ال cyclic وعدد
+
+165
+00:15:26,760 --> 00:15:32,780
+العناصر إلها ستة بنقدر نقول إن هذه isomorphic لزد
+
+166
+00:15:32,780 --> 00:15:41,470
+ستةأكيد؟ طيب بقول زميل الكهاد ابو بدر بقول طبعا
+
+167
+00:15:41,470 --> 00:15:48,050
+يبقى انا بقوله and وفي نفس الوقت z2 external
+
+168
+00:15:48,050 --> 00:15:55,390
+direct product ل z3 is isomorphic ل z6 طب انا طالع
+
+169
+00:15:55,390 --> 00:15:59,870
+اتعنى z2 external direct product مع z3 is cyclic
+
+170
+00:15:59,870 --> 00:16:07,290
+هل z6 is cyclic؟صحيح و ال order لأي عنصر فيها بدي
+
+171
+00:16:07,290 --> 00:16:11,290
+يساوي ال order لأي عنصر مناظر إله في مين في Z
+
+172
+00:16:11,290 --> 00:16:14,810
+التاني X تاني نضعيه ك product ل Z التلاتة يبقى
+
+173
+00:16:14,810 --> 00:16:19,730
+بناء عليه اتنين هدول are isomorphic بدي أطرح كمان
+
+174
+00:16:19,730 --> 00:16:24,610
+سؤال احنا أثبتنا ان واحد و واحد هو عبارة عن
+
+175
+00:16:24,610 --> 00:16:29,210
+generatorوبالتالي هذي الجروب صارت Cycle كمودام
+
+176
+00:16:29,210 --> 00:16:35,090
+Cycle كمان قبيلية تمام السؤال هو هل فيها generator
+
+177
+00:16:35,090 --> 00:16:47,430
+أخر ولا خلصنا .. أكيد؟ اللي هو مين؟ طيب
+
+178
+00:16:47,430 --> 00:16:51,590
+احنا أخدنا واحد وواحد generator يبقى فيش غيره
+
+179
+00:16:51,590 --> 00:16:58,780
+بيقول أبو غدر؟المعترضين يقولون فيه مابنعش نجرب
+
+180
+00:16:58,780 --> 00:17:05,200
+بمجرد النظر أكتر مرة سمعت منه لو عندك element و
+
+181
+00:17:05,200 --> 00:17:11,180
+بيكون generator فمعكسه هو generator وقلنا أي group
+
+182
+00:17:11,180 --> 00:17:15,880
+إذا فيها generator واحد معناته فيه كمان واحد يعني
+
+183
+00:17:15,880 --> 00:17:20,080
+ال generator يظهر على شكل الأزواج إلا إذا كانت ل
+
+184
+00:17:20,080 --> 00:17:21,220
+three sub group
+
+185
+00:17:31,150 --> 00:17:37,190
+السؤال هو من ذاك ال element اللي لو ضربته في
+
+186
+00:17:37,190 --> 00:17:39,870
+الواحد و واحد بيعطيني zero zero
+
+187
+00:17:42,200 --> 00:17:45,580
+و اتنين و واحد و اتنين ليش هنا مش ضربة احنا بنجي
+
+188
+00:17:45,580 --> 00:17:52,320
+مع الجامعة واحد و واحد زيرو اتنين و واحد زيرو يبقى
+
+189
+00:17:52,320 --> 00:17:57,300
+صار واحد و اتنين is a generator يبقى باجي بقوله
+
+190
+00:17:57,300 --> 00:18:07,440
+هنا also و كذلك اللي هو واحد و اتنين is other
+
+191
+00:18:07,440 --> 00:18:09,680
+generator
+
+192
+00:18:12,330 --> 00:18:18,210
+يبقى هذا كمان generator آخر غير الواحد الواحديبقى
+
+193
+00:18:18,210 --> 00:18:22,250
+دائما هو خط في دماغك قاعدة لو قالك اتلقى كل ال
+
+194
+00:18:22,250 --> 00:18:27,170
+generator في group بدك تروح تدور عليه اي element
+
+195
+00:18:27,170 --> 00:18:32,270
+لقيته على طول الخط اتدورش عليه اي واحد تاني بتروح
+
+196
+00:18:32,270 --> 00:18:36,830
+على معكوسه automatic لقيت معكوسه بيكون هو ال
+
+197
+00:18:36,830 --> 00:18:42,570
+generator الاخر و هكذا تمام؟ طيب هذا كان المثال
+
+198
+00:18:42,570 --> 00:18:49,260
+رقم اتنين بدنا نروح لمثال رقم تلاتةيبقى example
+
+199
+00:18:49,260 --> 00:18:59,100
+three example
+
+200
+00:18:59,100 --> 00:19:10,180
+three بيقول a group of order أربعة a group of
+
+201
+00:19:10,180 --> 00:19:14,440
+order أربعة is isomorphic
+
+202
+00:19:18,440 --> 00:19:27,420
+زد اربعة او زد اتنين اكستير نضعه ك product مع زد
+
+203
+00:19:27,420 --> 00:19:27,880
+اتنين
+
+204
+00:19:32,540 --> 00:19:36,600
+جاب المبدأ الشغل في هذه الشغلة بدأ أسأل السؤال
+
+205
+00:19:36,600 --> 00:19:41,060
+التالي بقول أي group من ما كانت تكون مدام ال order
+
+206
+00:19:41,060 --> 00:19:45,980
+إلها أربعة يبقى يا enzomorphic إلى z أربعة يا
+
+207
+00:19:45,980 --> 00:19:50,560
+isomorphic إلى z اتنين external like product مع z
+
+208
+00:19:50,560 --> 00:19:58,550
+اتنين السؤال ليش خيرني بين هذه و هذه؟أيوة Z4 هدى
+
+209
+00:19:58,550 --> 00:20:03,870
+Cyclic تمام Z2 external dielectric product مع Z2
+
+210
+00:20:03,870 --> 00:20:08,710
+هدى is not cyclic بقدرش ألاقي فيها ولا generator
+
+211
+00:20:08,710 --> 00:20:13,010
+إذا لو كانت ال group اللى ال order إلها يسوى 4
+
+212
+00:20:13,010 --> 00:20:18,500
+cyclic يبقى isomorphic لمين ل Z4وإذا كانت non
+
+213
+00:20:18,500 --> 00:20:22,540
+-cyclic يبقى isomorphic لزد اتنين external product
+
+214
+00:20:22,540 --> 00:20:28,800
+مع main مع زد اتنين عرفنا ما هو السبب يعني ليش هذه
+
+215
+00:20:28,800 --> 00:20:34,540
+او هذه لإن واحدة فيهم cyclic والتانية لأ وبالتالي
+
+216
+00:20:34,540 --> 00:20:39,320
+ال order ال group اللي هيساوي ال order اللي هيساوي
+
+217
+00:20:39,320 --> 00:20:48,170
+اربعة بيكون isomorphic لهذه اوتل خد الآندليل على
+
+218
+00:20:48,170 --> 00:20:55,870
+ذلك لت الجي عناصر E وA وB وAV
+
+219
+00:21:04,340 --> 00:21:11,260
+أربعة بدي أسأل يا تورا هدى isomorphic لزيد أربعة و
+
+220
+00:21:11,260 --> 00:21:15,180
+الله لزيد two external direct product لزيد two
+
+221
+00:21:15,180 --> 00:21:19,440
+تعالى نشوف هل هي cyclic ولا ماهي cyclic لزيد أربعة
+
+222
+00:21:19,440 --> 00:21:29,180
+انها cyclic صحيح ولا لا الان لو جيت قلت ان هدى طيب
+
+223
+00:21:31,160 --> 00:21:42,800
+يبقى little g تساوي كذا وهي non-cyclic group non
+
+224
+00:21:42,800 --> 00:21:47,750
+-cyclic group then شوفوا عشان اللي بده يصيرلأن لو
+
+225
+00:21:47,750 --> 00:21:52,630
+Cyclic بدي أخدلها generator يبقى بدي تطلع لمين؟ ل
+
+226
+00:21:52,630 --> 00:21:56,730
+Z4، أنا بدي أشيها ل Z4، أنا بدي لموضوعنا اللي هو
+
+227
+00:21:56,730 --> 00:21:59,550
+mainly external direct product بدي أخليها
+
+228
+00:21:59,550 --> 00:22:05,730
+isomorphic لمين؟ ل Z2 في Z2 طب هذي non-cyclic يعني
+
+229
+00:22:05,730 --> 00:22:10,690
+مافيش فيها ولا generator طيب مدى مافيش فيها ولا
+
+230
+00:22:10,690 --> 00:22:15,870
+generator بدي أسأل السؤال التالي قداش ال order ل
+
+231
+00:22:15,870 --> 00:22:25,270
+إيه؟ممتاز و يقسم يعني اش لو كان الواحد لكان ال a
+
+232
+00:22:25,270 --> 00:22:30,270
+هي ال a صح و لإذا لا يمكن ال a تسوى من ال a لأنه
+
+233
+00:22:30,270 --> 00:22:33,310
+في ال set بكتبش عنصرين متساوي عنصرين متساوي يعني
+
+234
+00:22:33,310 --> 00:22:37,430
+عنصر واحد تمام يبقى ال order ل a باتنين طب ال
+
+235
+00:22:37,430 --> 00:22:42,960
+order ل b نفس القصة طب ال order ل a بإتنين برضه
+
+236
+00:22:42,960 --> 00:22:48,100
+إجباري يبقى ال order لكل واحد فيهم ماله يساوي
+
+237
+00:22:48,100 --> 00:22:52,740
+اتنين لإنه قايل non cyclic غير اتنين بقى تقولي
+
+238
+00:22:52,740 --> 00:22:57,200
+اربع يبقى سارة cyclic سارة contradiction تمام يبقى
+
+239
+00:22:57,200 --> 00:23:04,740
+هنا then ال order ل a بده ساوي ال order ل b بده
+
+240
+00:23:04,740 --> 00:23:08,960
+ساوي ال order ل a بيه بده ساوي من اتنين
+
+241
+00:23:18,720 --> 00:23:23,400
+طيب و في هذه الحالة ايش علاقة ما بين ال element و
+
+242
+00:23:23,400 --> 00:23:29,820
+معكوسه؟يعني اضرب الطرفين في a inverse بصير ال a
+
+243
+00:23:29,820 --> 00:23:34,560
+بده ساوي a inverse يبقى ال a بده ساوي a inverse
+
+244
+00:23:34,560 --> 00:23:42,780
+لكل ال a اللي موجود في مين اللي موجود في g طيب هذه
+
+245
+00:23:42,780 --> 00:23:47,280
+non cyclic يبقى طبقا للكلام اللي احنا جاي نجيه هو
+
+246
+00:23:47,280 --> 00:23:53,940
+هتكون isomorphic لمينلزد اتنين external product مع
+
+247
+00:23:53,940 --> 00:23:58,320
+زد اتنين طب مين هي زد اتنين زد اتنين طب احنا بنعرف
+
+248
+00:23:58,320 --> 00:24:06,500
+ان زد اتنين هي Zero و واحد و زد اتنين كذلك هي Zero
+
+249
+00:24:06,500 --> 00:24:10,280
+و واحد اذا انا بده اروح اجيب ال external product
+
+250
+00:24:10,280 --> 00:24:18,540
+لزد اتنين مع زد اتنين بده العناصر تبعتهم يبقى Zero
+
+251
+00:24:18,540 --> 00:24:25,960
+و Zeroو بعد هيك Zero و واحد و بعد هيك الواحد و
+
+252
+00:24:25,960 --> 00:24:33,100
+Zero و واحد و واحد طيب
+
+253
+00:24:33,100 --> 00:24:38,380
+هل هذه Cyclic ولا لا انا مش عارف تعال تقدر تلاقي
+
+254
+00:24:38,380 --> 00:24:45,980
+فيها generator طيب انا ادعي ان every non identity
+
+255
+00:24:45,980 --> 00:24:53,390
+element has order to صح؟لأن هنا جمع هذه تربية
+
+256
+00:24:53,390 --> 00:24:58,190
+بتضرب في اتنين بيصير Zero وهنا اتنين Zero Zero هذه
+
+257
+00:24:58,190 --> 00:25:02,330
+تربية برضه اتنين و Zero بيصير Zero Zero هذه اتنين
+
+258
+00:25:02,330 --> 00:25:06,670
+بيصير اتنين و اتنين Zero Zero يبقى اي element من
+
+259
+00:25:06,670 --> 00:25:11,430
+هناهاالـ order له يساوي اتنين يعني زي مين زي
+
+260
+00:25:11,430 --> 00:25:15,830
+الكلام اللي قلناه هذا بالضبط تماما و هدول اربع
+
+261
+00:25:15,830 --> 00:25:20,590
+عناصر و هدول اربع عناصر طب ايش رأيك؟ بدي اعرف
+
+262
+00:25:20,590 --> 00:25:24,230
+function ما بين الاتنين و اثبت انها one to one ان
+
+263
+00:25:24,230 --> 00:25:27,530
+انتوا وبالتالي بصير الجروب اللي عندها ده
+
+264
+00:25:27,530 --> 00:25:32,590
+isomorphic لمين؟ لزد اتنين external direct product
+
+265
+00:25:32,590 --> 00:25:39,500
+لزديبقى باجي بقوله ملاحظة بسيطة جدا ان زد اتنين
+
+266
+00:25:39,500 --> 00:25:50,060
+external لزد اتنين is not cyclic because any
+
+267
+00:25:50,060 --> 00:25:56,400
+element والله any non identity element
+
+268
+00:26:06,220 --> 00:26:14,260
+of z اتنين has order
+
+269
+00:26:14,260 --> 00:26:19,000
+two ايوة احد ال order اللي بيساوي اتنين هو حب
+
+270
+00:26:19,000 --> 00:26:23,260
+تربيه حب تربيه حب تربيه كله بيطلع من ال identity
+
+271
+00:26:23,260 --> 00:26:31,030
+يعني طيب لو جيت قولتلك defineأيه الـ function؟ فاي
+
+272
+00:26:31,030 --> 00:26:38,850
+من الجي إلى زي ده to stay in a like product لزي ده
+
+273
+00:26:38,850 --> 00:26:45,970
+to buy بدي أخلي الفاي تأثر على ال identity element
+
+274
+00:26:45,970 --> 00:26:53,730
+بشكل فاي و بال identity كده اتوقع صورتها ده؟أجباري
+
+275
+00:26:53,730 --> 00:26:58,350
+مش بخاطر كمان تمام ليش ان صوت ال identity element
+
+276
+00:26:58,350 --> 00:27:01,810
+في ال group الأولى مش هنكون isomorphism بده يكون
+
+277
+00:27:01,810 --> 00:27:06,750
+ال identity element فيه تانية يبقى هذا بده يصير
+
+278
+00:27:06,750 --> 00:27:11,190
+zero و zero الان Phi of A
+
+279
+00:27:29,720 --> 00:27:35,500
+السؤال هو هل هذه one to one
+
+280
+00:27:38,420 --> 00:27:43,620
+غطط كل العناصر تمام يبقى ده الخاصية ال isomorphism
+
+281
+00:27:43,620 --> 00:27:48,880
+سهل اثباتها عن طريق الجمعة يبقى في هذه isomorphism
+
+282
+00:27:48,880 --> 00:27:55,520
+يبقى من هذه المعلومات بقدر اقول سا اللي هو ال G
+
+283
+00:27:55,520 --> 00:28:02,440
+هذي isomorphic الى Z two externodotic product مع
+
+284
+00:28:02,440 --> 00:28:04,820
+مين مع Z two
+
+285
+00:28:07,820 --> 00:28:13,240
+طلّع ليه بالصورة شوية، طلّعليها دي اللي بسيط خالص،
+
+286
+00:28:13,240 --> 00:28:19,240
+not cyclic، لكن زد اتنين في زد تلاتةcyclic تمام طب
+
+287
+00:28:19,240 --> 00:28:24,240
+قداش عدد العناصر هنا اربعة زد اتنين في زد تلاتة
+
+288
+00:28:24,240 --> 00:28:29,580
+طلع ستة اللي قبلها اربعة واربعة طلع ستاشر اذا بقدر
+
+289
+00:28:29,580 --> 00:28:35,280
+اجيب قداش ال order ل الاكسينو دايك افرضك ل two
+
+290
+00:28:35,280 --> 00:28:40,860
+groups من خلال ال order لمين ل ال groups لذا بروح
+
+291
+00:28:40,860 --> 00:28:43,820
+بقوله هذه ملاحظة بسيطة اللي هي remark
+
+292
+00:28:47,610 --> 00:28:55,940
+In general على وجه العمومال order لل جي واحد
+
+293
+00:28:55,940 --> 00:29:04,280
+external لل order لل جي اتنين external ونظل ماشيين
+
+294
+00:29:04,280 --> 00:29:10,060
+external لغاية الجي ان بدل ساوي ال order لل جي
+
+295
+00:29:10,060 --> 00:29:16,260
+واحد مضروب في ال order لل جي اتنين مضروب مضروب في
+
+296
+00:29:16,260 --> 00:29:23,800
+ال order لل جي ان بهذا الشكليبقى بدك تعرف أكم عنصر
+
+297
+00:29:23,800 --> 00:29:29,740
+في ال group أو جداش ال order ما عليك إلا إيه تجيب
+
+298
+00:29:29,740 --> 00:29:33,520
+ال order لكل group و تضربه في مين تضربه في ال
+
+299
+00:29:33,520 --> 00:29:38,560
+group الثانية بيطلعلك اللي هو جداش عدد العناصر في
+
+300
+00:29:38,560 --> 00:29:43,500
+ال external product أو بيطلعلك جداش ال order لل
+
+301
+00:29:43,500 --> 00:29:49,640
+external product لمين لهذه ال groups تمام؟ أه أيضا
+
+302
+00:29:55,180 --> 00:29:59,520
+هي اللي بده يحصل طبعا هذا تشكلك براحتك تشتغلها في
+
+303
+00:29:59,520 --> 00:30:07,540
+الدار لعشان نضيع وقتيها، ماشي؟ طيب بدنا نجي لشغلة
+
+304
+00:30:07,540 --> 00:30:13,140
+مهمة هنا جدا example
+
+305
+00:30:21,100 --> 00:30:25,400
+لو بدنا .. بدنا نحسب بدل ما هو two groups لو
+
+306
+00:30:25,400 --> 00:30:31,460
+خليتهم تلاتة كيف بدنا نحسب الشغلة هذه؟ الان نقيس
+
+307
+00:30:31,460 --> 00:30:34,940
+عليها لو صاروا تلاتة او اربعة او ما إلى ذلك
+
+308
+00:30:34,940 --> 00:30:40,880
+example يعني example على مين؟ على هذه ال remark
+
+309
+00:30:40,880 --> 00:30:49,420
+بيقول find the number of elements find the number
+
+310
+00:30:54,570 --> 00:31:02,550
+number of elements of group
+
+311
+00:31:02,550 --> 00:31:07,070
+U4
+
+312
+00:31:07,070 --> 00:31:16,030
+with U6 with Z3
+
+313
+00:31:18,150 --> 00:31:22,550
+يعني في حالة ال external ليس بالضرورة تبقى ال
+
+314
+00:31:22,550 --> 00:31:25,310
+operation اللي على الأولى هي ال operation اللي على
+
+315
+00:31:25,310 --> 00:31:29,390
+التانية هي اللي على التالتة لأ كل group قائمة بال
+
+316
+00:31:29,390 --> 00:31:34,010
+operation الخاصة بيه اطلع هنا ال operation عملية
+
+317
+00:31:34,010 --> 00:31:38,650
+ضرب هنا عملية ضرب هنا عملية اياش هنا عملية جمع
+
+318
+00:31:38,650 --> 00:31:45,590
+بقولي اكم رقم بيكون او وجديش عدد العناصر في ال
+
+319
+00:31:45,590 --> 00:31:50,300
+group اللي عندنا هذه اللي هو ال orderبناء عليه لو
+
+320
+00:31:50,300 --> 00:31:58,040
+أنا جيته قولش له ال orderلـ U4 External Direct
+
+321
+00:31:58,040 --> 00:32:05,420
+Product مع الـ U6 External Direct Product مع Z3
+
+322
+00:32:05,420 --> 00:32:11,820
+يبقى بده يساوي ال order ل ال U4 فمين؟ في ال order
+
+323
+00:32:11,820 --> 00:32:19,680
+ل ال U6 في ال order ل Z3 هو يساوي ال U4 فيها كم
+
+324
+00:32:19,680 --> 00:32:27,680
+عنصر؟ اتنينو ال U6 اتنين و ال Z تلاتة يبقى اكم
+
+325
+00:32:27,680 --> 00:32:34,180
+عنصر عندى؟ عشر عنصر بدنا نحسب لو حبيت اتعرف عليه
+
+326
+00:32:34,180 --> 00:32:40,130
+شكلهم اه بتيجي تقولي ما يأتي هاي انت عندكاللي هو
+
+327
+00:32:40,130 --> 00:32:48,790
+U4 U4 فيها عنصرين اللي هو واحد وثلاثة عندك U6 فيها
+
+328
+00:32:48,790 --> 00:32:57,510
+عنصرين واحد وخمسة زي التلاتة اللي هو فيها ثلاثة
+
+329
+00:32:57,510 --> 00:33:06,660
+عناصر Zero واحد واتنين طيبلو بدى اجيب الان U4
+
+330
+00:33:06,660 --> 00:33:13,080
+External Product مع U6 External Product مع مين مع
+
+331
+00:33:13,080 --> 00:33:19,140
+Z3 يساوي يبقى كل عنصر مكون من كام مركبةمن ثلاث
+
+332
+00:33:19,140 --> 00:33:24,180
+مراكبات بدي أروح أخد العنصر الأول في ال group
+
+333
+00:33:24,180 --> 00:33:28,300
+الأولى مع العنصر الأول في ال group التانية مع
+
+334
+00:33:28,300 --> 00:33:33,100
+العنصر الأول في ال group التالتة بعدين الأول مع
+
+335
+00:33:33,100 --> 00:33:40,710
+الأول مع الثاني بعدين الأول مع الأول مع الثالثيبقى
+
+336
+00:33:40,710 --> 00:33:47,010
+ثبت الأول و ثبت الأول و حركت التلاتة الأهم بدي
+
+337
+00:33:47,010 --> 00:33:52,850
+أقوله بدي أثبت الأول زي ما هو و بدل ما أخد الأول
+
+338
+00:33:52,850 --> 00:33:58,830
+هنا بدي أخد من الخامس و بدي أبدأ مع من؟ مع ال zero
+
+339
+00:33:59,210 --> 00:34:07,330
+يبقى واحد خمسة واحد وهذه قفلنا يبقى هنا واحد وخمسة
+
+340
+00:34:07,330 --> 00:34:11,650
+واثنين وهذه قفلنا يبقى حتى لو أنا أخدت العنصر
+
+341
+00:34:11,650 --> 00:34:17,910
+الأول مع الأول مع التلاتة بعدين الأول مع الثاني مع
+
+342
+00:34:17,910 --> 00:34:22,650
+التلاتة طيب الآن خلصنا معناته بحكاية العنصر الأول
+
+343
+00:34:22,650 --> 00:34:27,530
+تبعناهيبقى بدي أبدأ العنصر main الثاني العنصر
+
+344
+00:34:27,530 --> 00:34:32,750
+التاني بدي يكون اللي هو التلاتة مع العنصر الأول
+
+345
+00:34:32,750 --> 00:34:39,510
+اللي هو واحد مع ال zero والتلاتة مع الواحد مع
+
+346
+00:34:39,510 --> 00:34:46,520
+الواحد والتلاتة مع الواحد مع اتنينيبقى أخدت العنصر
+
+347
+00:34:46,520 --> 00:34:51,780
+الثاني مع الأول مع التلاتة العنصر الثاني مع الثاني
+
+348
+00:34:51,780 --> 00:34:57,160
+بدي أبدأ مع التلاتة العنصر الثاني اللي هو تلاتة مع
+
+349
+00:34:57,160 --> 00:35:04,040
+العنصر خمسة مع zero يبقى تلاتة وخمسة وواحد تلاتة
+
+350
+00:35:04,040 --> 00:35:10,420
+وخمسة واتنين بالشكل يعني هذا أي عنصر يجي في بالك
+
+351
+00:35:10,420 --> 00:35:15,990
+هتلاقي واحد من هدول هدول قداش عددهم؟أتناشر أنصر زي
+
+352
+00:35:15,990 --> 00:35:20,290
+ما تشوف هاي ستة فضء وهي ستة تحت يبقى هذول أتناشر
+
+353
+00:35:20,290 --> 00:35:25,130
+أنصر اللي موجودات عندنا بدنا نجي لأول نظرية على
+
+354
+00:35:25,130 --> 00:35:27,470
+هذا الموضوع
+
+355
+00:35:30,100 --> 00:35:35,580
+النظرية على هذا الموضوع بتتحدث عن ال order لل
+
+356
+00:35:35,580 --> 00:35:39,540
+element اللي موجود في ال external direct product
+
+357
+00:35:39,540 --> 00:35:46,560
+وهذا لم نشر إليه من قريب أو بعيد يفجأة بدنا نيجي
+
+358
+00:35:46,560 --> 00:35:53,280
+لنص النظرية اللي بيقول ما يأتي اللي هو the order
+
+359
+00:35:53,280 --> 00:36:07,530
+of an elementan element رتبة العنصر in a direct
+
+360
+00:36:07,530 --> 00:36:14,150
+product of
+
+361
+00:36:14,150 --> 00:36:27,370
+a finite of a finite number of
+
+362
+00:36:27,370 --> 00:36:28,970
+finite
+
+363
+00:36:31,050 --> 00:36:36,950
+groups finite groups is the least common multiple
+
+364
+00:36:36,950 --> 00:36:50,930
+of the
+
+365
+00:36:50,930 --> 00:36:53,370
+orders of
+
+366
+00:37:01,120 --> 00:37:10,180
+of the orders of the components of
+
+367
+00:37:10,180 --> 00:37:19,700
+the components of the element that
+
+368
+00:37:19,700 --> 00:37:24,940
+is ال
+
+369
+00:37:24,940 --> 00:37:32,370
+order لل element g واحد و g اتنينو لغاية GN بدي
+
+370
+00:37:32,370 --> 00:37:38,690
+أساوي least common multiple لل order تبع ال G1 وال
+
+371
+00:37:38,690 --> 00:37:45,910
+order تبع ال G2 وال order تبع ال GN بالشكل اللي
+
+372
+00:37:45,910 --> 00:37:46,510
+عندنا هذا
+
+373
+00:38:10,850 --> 00:38:16,470
+نرجع للنص مرة تانية انا عندك product بدي ال order
+
+374
+00:38:16,470 --> 00:38:19,610
+ل أي element ال order ل ال element يسوى least
+
+375
+00:38:19,610 --> 00:38:23,770
+common multiple لل order لكل مركبة على حده يعني
+
+376
+00:38:23,770 --> 00:38:28,690
+بدي أجيب ال order للعنصر الأول في ال N tuple ال
+
+377
+00:38:28,690 --> 00:38:32,070
+order للعنصر الثاني في ال N tuple ال order في
+
+378
+00:38:32,070 --> 00:38:35,370
+التالت ال order للرابع صار عندي مجموعة من ال order
+
+379
+00:38:35,370 --> 00:38:38,790
+بتجيب ال least common multiple لهم كلهم بيكون هو
+
+380
+00:38:39,450 --> 00:38:45,150
+يكون هو ال order لانتوبل كلها اللي عندها يبقى
+
+381
+00:38:45,150 --> 00:38:50,050
+بيقول the order of an elementin a direct product
+
+382
+00:38:50,050 --> 00:38:55,470
+of a finite number of finite groups يبجي انا عندي
+
+383
+00:38:55,470 --> 00:38:59,910
+كل group من ال groups هذه finite يعني فيها عدد
+
+384
+00:38:59,910 --> 00:39:06,170
+محدود من العناصر كويس اتنين اخدت عدد محدود من ال
+
+385
+00:39:06,170 --> 00:39:10,710
+groups هي المقصود فيها عدد محدود من ال groupsكل
+
+386
+00:39:10,710 --> 00:39:14,650
+group فيها عدد محدود من مهم من العناصر هو ال least
+
+387
+00:39:14,650 --> 00:39:18,370
+common multiple of the orders of the components of
+
+388
+00:39:18,370 --> 00:39:22,650
+the elements يعني بدى ترجم هذا الخلم ترجم عملية
+
+389
+00:39:22,650 --> 00:39:28,610
+فباجي بقول ال order لل elementكل اللي موجود في ال
+
+390
+00:39:28,610 --> 00:39:34,670
+product external ال order للمركبة
+
+391
+00:39:34,670 --> 00:39:38,170
+الأولى و ال order للتانية و ال order للتالتة و ال
+
+392
+00:39:38,170 --> 00:39:43,910
+order للرابعة و هكذا تمام لفروف بسيط يبقى بداجي
+
+393
+00:39:43,910 --> 00:39:51,010
+اقوله افترض ان جي واحد و جي اتنينو لغاية GN موجود
+
+394
+00:39:51,010 --> 00:39:55,370
+في الـ External Direct Product اللي عندنا .. الشكل
+
+395
+00:39:55,370 --> 00:40:01,810
+اللي عندنا هذا لغاية الـ GN الان
+
+396
+00:40:01,810 --> 00:40:11,430
+ا assume افترض ان ال order لل G1 و G2 و لغاية ال
+
+397
+00:40:11,430 --> 00:40:20,890
+GN بده يساوي T andالـ S هو الـ least common
+
+398
+00:40:20,890 --> 00:40:26,550
+multiple للـ order تبع الـ G1 والـ order تبع الـ
+
+399
+00:40:26,550 --> 00:40:35,210
+G2 والـ order تبع الـ GN بالشكل اللي عندنا اذا
+
+400
+00:40:35,210 --> 00:40:39,410
+قررت أثبت ان الـ S بساوي الـ T بتم المطلوب بس هي
+
+401
+00:40:39,410 --> 00:40:44,610
+كل الفكرةمش انا افرض ان ال order لهذا يساوي T و ال
+
+402
+00:40:44,610 --> 00:40:48,790
+multiple يساوي S اذا قلت اثبت ان ال S و T بيسوا
+
+403
+00:40:48,790 --> 00:40:54,010
+بعض بيكون ايه انت هنا من الموضوع طيب الان لو جيت
+
+404
+00:40:54,010 --> 00:41:00,650
+قولتلك consider خدلي اللي هو ال G واحد وال G اتنين
+
+405
+00:41:00,650 --> 00:41:11,500
+و لغاية ال GNهذا الكلام
+
+406
+00:41:11,500 --> 00:41:19,760
+يسمى جي واحد أس اس جي اتنين أس اس و لغاية جي ان أس
+
+407
+00:41:19,760 --> 00:41:28,130
+اسطيب تعالى نشوف هذا الكلام إيش بده يساوي، كده إيش
+
+408
+00:41:28,130 --> 00:41:32,150
+بده يساوي؟ الأعلى، لإيش؟ لأن ال S هي اللي يسكم ال
+
+409
+00:41:32,150 --> 00:41:36,890
+multiple لل others، لكل واحد فيهم، يبقى هذا الكلام
+
+410
+00:41:36,890 --> 00:41:44,090
+ذاتني واحدو E2 و لغاية EN يبقى هذا ال element
+
+411
+00:41:44,090 --> 00:41:49,430
+رفعته الى S وجدته يساوي ال identity طب قداش ال
+
+412
+00:41:49,430 --> 00:41:55,510
+order لهذا يبقى T بدي يقسم ال S صح ولا لأ يبقى هنا
+
+413
+00:41:55,510 --> 00:42:00,570
+so by the grand theorem او كرول اللي على ال grand
+
+414
+00:42:00,570 --> 00:42:06,530
+theorem ال T ال T divides
+
+415
+00:42:08,360 --> 00:42:14,600
+الـ S يعني معناه هذا الكلام أن T أقل من أو تساوي S
+
+416
+00:42:14,600 --> 00:42:20,820
+واعتبر المعادلة هذه رقم واحد الان بدل ما أخدت هكذا
+
+417
+00:42:20,820 --> 00:42:29,180
+أخد G1 أس T G2 أس T و لغاية GN أس T
+
+418
+00:42:33,020 --> 00:42:37,140
+هذا لو أردت أن أرجعه يعني أن الـ S أُس T برا صح
+
+419
+00:42:37,140 --> 00:42:43,920
+ولا لأ يبقى هذا معناته جي واحد جي اتنين و لغاية جي
+
+420
+00:42:43,920 --> 00:42:50,040
+ان أس تي أنا فرض أن ال order لهذا ال element قداشر
+
+421
+00:42:50,040 --> 00:42:55,000
+T إذا هذا قداشر بدي أعطيه إيه ال identity يبقى هذا
+
+422
+00:42:55,000 --> 00:43:00,080
+بدي أعطيه ال E واحد و ال E اتنين و لغاية ال E N
+
+423
+00:43:01,640 --> 00:43:06,780
+يبقى صار عندك جي واحد أس تي بدأ تاني مين ال
+
+424
+00:43:06,780 --> 00:43:11,560
+identity يبقى ال order لهذا ال element بدأ يقسم
+
+425
+00:43:11,560 --> 00:43:16,640
+مين؟ بدأ يقسم ال T يبقى صار ال order لجي واحد
+
+426
+00:43:16,640 --> 00:43:28,150
+divide ال T و ال order لجي اتنين dividesالـ T وهو
+
+427
+00:43:28,150 --> 00:43:35,410
+ال order اللي GN كمان divides اللي هو main الـ T
+
+428
+00:43:35,410 --> 00:43:41,610
+طيب، ايه كويس يبقى معنى هذا الكلام ان الـ T هو
+
+429
+00:43:41,610 --> 00:43:47,510
+عبارة عن common multiples لكل ال orders صح؟ يبقى
+
+430
+00:43:47,510 --> 00:43:59,790
+هنا this means thatإن الـ T is a
+
+431
+00:43:59,790 --> 00:44:12,490
+common multiple of ال order لل G1 وال order لل G2
+
+432
+00:44:12,490 --> 00:44:18,890
+و ال order لل GMطب أنا عندي least common multiple
+
+433
+00:44:18,890 --> 00:44:27,370
+كدهش يبقى T مالها أكبر من S أو S أقل من أو يساوي T
+
+434
+00:44:27,370 --> 00:44:38,090
+but ولكن S is the least common multiple
+
+435
+00:44:41,330 --> 00:44:49,050
+هذا سيعطيك ان ال S أقل من او يساوي ال T ومعدل رقم
+
+436
+00:44:49,050 --> 00:44:55,190
+2 يبقى باشر بقول from واحد
+
+437
+00:44:57,120 --> 00:45:03,280
+والاتنين يبقى T تساوي كده؟ ال S طب ال S هنا فرضه
+
+438
+00:45:03,280 --> 00:45:06,840
+هو least common multiple و T هي الأقل يبقى اتنين
+
+439
+00:45:06,840 --> 00:45:12,560
+ماله are equal و هو المفتوح يبقى بناء عليك بنكون
+
+440
+00:45:12,560 --> 00:45:17,940
+برهنة النظرية و المرة جاها ان شاء الله بنكمل
+
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/vTv-S_KlsSA_postprocess.srt b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/vTv-S_KlsSA_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..187e12fb255152cff958c09b7313cbcaf048c71a
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/vTv-S_KlsSA_postprocess.srt
@@ -0,0 +1,1684 @@
+1
+00:00:21,210 --> 00:00:24,770
+بسم الله الرحمن الرحيم السلام عليكم يا شباب ان شاء
+
+2
+00:00:24,770 --> 00:00:28,310
+الله اليوم هناخد الجزء التاني من محاضرات خاصة
+
+3
+00:00:28,310 --> 00:00:31,670
+بالوحدة الرابعة اللي بنتكلم فيها عن ال cyclic
+
+4
+00:00:31,670 --> 00:00:35,670
+subgroups أو ال cyclic groups اللي كان معانا
+
+5
+00:00:35,670 --> 00:00:40,110
+المحاضرة الماضية بيتذكر انه بدأنا في شغلات تتعلق
+
+6
+00:00:40,110 --> 00:00:48,750
+بتعميملتعريف درسناه في الوحدة التالتة بتعلق بتوليد
+
+7
+00:00:48,750 --> 00:00:53,710
+subgroup عن طريق أنصر ما داخل الجروب معينة بعدين
+
+8
+00:00:53,710 --> 00:00:58,530
+حاولنا ناخد هذا الكلام و نطبقه على الجروب نفسه حيث
+
+9
+00:00:58,530 --> 00:01:02,590
+نقول الجروب كلها مولدة من هذا الأنصر طلع معنا
+
+10
+00:01:02,590 --> 00:01:07,790
+تعريف ال cyclicأتكلمنا عن التعريف أخدنا أشهر أمثلة
+
+11
+00:01:07,790 --> 00:01:12,130
+Cyclic group سواء كانت ال infinite هو المتعلقة بال
+
+12
+00:01:12,130 --> 00:01:16,270
+Z الانتجرز تحت عملته الجامعة هنكتشف لاحقا أن أي
+
+13
+00:01:16,270 --> 00:01:20,790
+Cyclic group ال order لها مالة نهاية هي عبارة عن
+
+14
+00:01:20,790 --> 00:01:26,150
+كوبي من ال Z أيضا اتكلمنا عن ال Cyclic groups ال
+
+15
+00:01:26,150 --> 00:01:33,600
+finite اللي نشملها تحت إطار ال ZNبرضه لاحقا هنكتشف
+
+16
+00:01:33,600 --> 00:01:37,960
+ان اي cyclic الجروب و finite هتكون كب من some ZN
+
+17
+00:01:37,960 --> 00:01:43,640
+خدنا مثالين على UN واحدة كانت cyclic والتانية كانت
+
+18
+00:01:43,640 --> 00:01:47,060
+non أو not cyclic وبالتالي ال UN بقدرش انا اطلق
+
+19
+00:01:47,060 --> 00:01:52,440
+عليها تعميم ان ايه all UN cyclic او all UN not
+
+20
+00:01:52,440 --> 00:01:56,780
+cyclic برضه لاحقا هنفهم وقت ايش ال UN بتكون cyclic
+
+21
+00:01:56,780 --> 00:02:01,400
+ووقت ايش ال UN بتكونش not cyclicهناخد اليوم الجزء
+
+22
+00:02:01,400 --> 00:02:06,500
+التالي من النظريات المتعلقة بهذا الموضوع هنبدأ
+
+23
+00:02:06,500 --> 00:02:13,660
+بنظرية 4.2 اللى بتتكلم عن order العمصر داخل الـ
+
+24
+00:02:13,660 --> 00:02:23,780
+cyclic group theorem 4.2 طيب
+
+25
+00:02:23,780 --> 00:02:26,260
+هنبدل الجلم
+
+26
+00:02:47,340 --> 00:02:50,140
+النقطة الأولى
+
+27
+00:03:02,110 --> 00:03:07,770
+Generated by A to K هي
+
+28
+00:03:07,770 --> 00:03:14,170
+ساوي Generated by A لإن
+
+29
+00:03:14,170 --> 00:03:24,950
+و K P ال order ل A to K هي ساوي N على ال common
+
+30
+00:03:24,950 --> 00:03:28,810
+divisor لن و K
+
+31
+00:03:32,240 --> 00:03:35,540
+قبل أن ندخل في الظروف سنفهم ايش اهمية هذه النظرية
+
+32
+00:03:35,540 --> 00:03:39,740
+وماذا تقولنيها الشق
+
+33
+00:03:39,740 --> 00:03:46,460
+الأول منها يتعلق بالتالي طبعا نرجع لشغل الجي ليست
+
+34
+00:03:46,460 --> 00:03:50,000
+بضوء تكون Cyclic انا بتكلم على جزء من الجي اللي هو
+
+35
+00:03:50,000 --> 00:03:55,430
+generated by A اللي بيكون Cyclic ومش تشغل داخلهالـ
+
+36
+00:03:55,430 --> 00:03:59,670
+generated by A to K بيساوي الـ generated by A وقص
+
+37
+00:03:59,670 --> 00:04:02,030
+الـ greased common divisor لأن و K ومن المعروف أن
+
+38
+00:04:02,030 --> 00:04:05,890
+الـ greased common divisor لأن و K دائما و أبدا
+
+39
+00:04:05,890 --> 00:04:11,250
+أقل لو يساوي K الهدف هنا أنه أنا أدور على عنصر
+
+40
+00:04:11,250 --> 00:04:18,030
+القص تبعه أقل من ال K ويولد نفس ال subgroup الجزء
+
+41
+00:04:18,030 --> 00:04:23,900
+التاني ال order ل power لل A إيش علاقته؟في ال
+
+42
+00:04:23,900 --> 00:04:29,500
+order لل A نفسه هندف الاثبات للجزء الاول هقول
+
+43
+00:04:29,500 --> 00:04:34,580
+التالت جاب المعنى افوت في التفاصيل هعطي تسميات let
+
+44
+00:04:34,580 --> 00:04:42,640
+D بساوة لجريس common divisor لان و K بتحول الاثبات
+
+45
+00:04:42,640 --> 00:04:47,160
+انه انا بدي اثبت انه generated by A to K بدي اثبت
+
+46
+00:04:47,160 --> 00:04:55,690
+انه generated by A to D وش ننتقلالمفهوم لمفهوم set
+
+47
+00:04:55,690 --> 00:05:02,010
+theory نظرية مجموعات اثبت ان ال two sets ايش مالهم
+
+48
+00:05:02,010 --> 00:05:08,290
+متساويات هاخد عنصر من هنا و اثبت انه يعني كل عنصر
+
+49
+00:05:08,290 --> 00:05:13,750
+موجود هنا هثبت انه موجود هنا طبعا و العكس صحيح
+
+50
+00:05:13,750 --> 00:05:21,610
+since دي بدت ساوي للجريس common divisor لان و كيه
+
+51
+00:05:21,610 --> 00:05:27,250
+ايش اللي مقدر استفيد منه هناإن دي تقسم ال N و دي
+
+52
+00:05:27,250 --> 00:05:41,570
+تقسم ال K دي تقسم ال N و دي هتقسم ال K أيضا نشتغل
+
+53
+00:05:41,570 --> 00:05:48,550
+على دي تقسم ال N يعني ال D أو N بدت ساوة D في T و
+
+54
+00:05:48,550 --> 00:05:52,990
+ال K بدت ساوة D في R
+
+55
+00:05:55,990 --> 00:06:00,650
+كيف بدي أثبت هذا الكلام؟ كيف بدي أثبت انه كل عنصر
+
+56
+00:06:00,650 --> 00:06:08,130
+هنا هو عنصر موجود هنا؟ هلاحظ التالي ان ال a to k
+
+57
+00:06:08,130 --> 00:06:17,110
+عبارة عن ايش؟ عن a to dr اللي هو عبارة عن مين؟ عن
+
+58
+00:06:17,110 --> 00:06:25,510
+a to d to r وهذا عنصر موجود هذا عنصر موجودهذا
+
+59
+00:06:25,510 --> 00:06:32,230
+العنصر موجود في generated by a to d اش يعني يعني a
+
+60
+00:06:32,230 --> 00:06:41,110
+to k موجود وين في generated by a to d عنصر موجود
+
+61
+00:06:41,110 --> 00:06:49,190
+في group فال sub group للعنصر هذا بيولدها ويل
+
+62
+00:06:49,190 --> 00:06:55,850
+هتكونجزء من الجروب هذه وبالتالي generated by a to
+
+63
+00:06:55,850 --> 00:07:04,730
+k subset من generated by a to d و اعطيها واحدة
+
+64
+00:07:04,730 --> 00:07:09,290
+نعيد بسرعة انا حولت السؤال ل set theory نظرية
+
+65
+00:07:09,290 --> 00:07:14,450
+مجموعات بدي اثبت ان مجموعة بتساوي مجموعةبدي أستفيد
+
+66
+00:07:14,450 --> 00:07:18,850
+من خصائص أنه أنا بشغل في ال group theory لو كان
+
+67
+00:07:18,850 --> 00:07:22,090
+العنصر موجود في المجموعة فال generated من هذا
+
+68
+00:07:22,090 --> 00:07:26,770
+العنصر برضه موجود داخل ال group أخدت ال D عبارة عن
+
+69
+00:07:26,770 --> 00:07:30,110
+ال Geoscomal Divisor ل N و K ال D بتقسم ال N ال D
+
+70
+00:07:30,110 --> 00:07:35,390
+بتقسم ال K فال K عبارة عن DR ال A to K عبارة عن A
+
+71
+00:07:35,390 --> 00:07:40,530
+to DR يعني عبارة عن A to D الكل أُس R وهذا عنصر
+
+72
+00:07:40,530 --> 00:07:41,070
+موجود
+
+73
+00:08:01,470 --> 00:08:06,530
+الجزء التاني او
+
+74
+00:08:06,530 --> 00:08:12,220
+D بدأ تساوي لـ Greece Common Divisor لان و Kمعناته
+
+75
+00:08:12,220 --> 00:08:19,980
+D بيبدأ تساوي N في X زي ك في Y for some extra Y من
+
+76
+00:08:19,980 --> 00:08:27,120
+وين؟ من الـ Z number three الجريس common divisor
+
+77
+00:08:27,120 --> 00:08:33,320
+لعددين عبارة عن تركيبة خطية من مين؟ من العددين
+
+78
+00:08:33,320 --> 00:08:42,670
+هدول طيب يقبل A to Dعبارة عن a to n x زائد ky اللي
+
+79
+00:08:42,670 --> 00:08:52,810
+هو بديه يساوي a to n plus x في a to k to y ال a to
+
+80
+00:08:52,810 --> 00:09:00,750
+n ايش بيساوي ال a to n ال order ل a بيساوي n ايش
+
+81
+00:09:00,750 --> 00:09:05,010
+بقى a to n ايش بيساوي identity ايش بده عبارة عن ال
+
+82
+00:09:05,010 --> 00:09:09,450
+identity to xمش E أُس X يعني أنا متكلمش شغال احنا
+
+83
+00:09:09,450 --> 00:09:14,770
+في الجابر مش في ال calculus و A to K أُس Y اللي هو
+
+84
+00:09:14,770 --> 00:09:21,190
+عبارة عن A to K أُس Y و هذا أنص وان موجود في
+
+85
+00:09:21,190 --> 00:09:27,770
+generated by A to K لإن ال power ل A to K صار ال A
+
+86
+00:09:27,770 --> 00:09:34,190
+to D ينتمي لgenerated by A to K نفس الأسلوب اللي
+
+87
+00:09:34,190 --> 00:09:41,500
+في الأول حاسيب معاياA to D subset من generated by
+
+88
+00:09:41,500 --> 00:09:45,700
+A to K و اعطيها اتنين واحد و اتنين هيعطيني التالي
+
+89
+00:09:45,700 --> 00:09:52,640
+واحد و اتنين هيعطيني انه generated by A to D
+
+90
+00:09:52,640 --> 00:09:58,360
+بيتساوى generated by A to K طبعا هو اللي احنا
+
+91
+00:09:58,360 --> 00:10:04,220
+مطلوب نثبته واضحة
+
+92
+00:10:04,220 --> 00:10:09,610
+ولا محتاجة توضيح اخرgenerated by a to d بيساوي
+
+93
+00:10:09,610 --> 00:10:14,170
+generated by a to k وبالتالي generated by a to k
+
+94
+00:10:14,170 --> 00:10:19,630
+بيساوي generated by a لجريس common divisor ل N
+
+95
+00:10:19,630 --> 00:10:22,990
+اكتب
+
+96
+00:10:22,990 --> 00:10:29,350
+بس بسرعة E
+
+97
+00:10:29,350 --> 00:10:34,190
+أُس X مش ال A اللي أخضر يلو N فE أُس N مش بيساوي
+
+98
+00:10:35,780 --> 00:10:39,240
+أيه أسئلة مش هيساوي ال identity ال identity وس أي
+
+99
+00:10:39,240 --> 00:10:48,960
+حاجة بيبقى ال identity كيف هذه number three نظرية
+
+100
+00:10:48,960 --> 00:10:52,840
+الأعداد ال grace common divisor لأي عددين تركيبها
+
+101
+00:10:52,840 --> 00:10:56,940
+خاطية من العددين شبكة واحدة في الكتاب أو لو رجعت
+
+102
+00:10:56,940 --> 00:11:01,360
+لكتاب نظرية الأعداد موجودة في section 2 3
+
+103
+00:11:12,420 --> 00:11:18,400
+عيد عيد بس بصراحة اي اوس كي اوس واي بس هو power
+
+104
+00:11:18,400 --> 00:11:22,620
+لقيت okay؟وهو موجود في generated by a to k لأن
+
+105
+00:11:22,620 --> 00:11:27,780
+وعيش ال generated by a to k هي جميع الأسس الممكنة
+
+106
+00:11:27,780 --> 00:11:31,340
+من هذا العنصر شرحناها المحاضرة الماضية وجون ال
+
+107
+00:11:31,340 --> 00:11:35,520
+generated by a to n لو ال order لل a في a infinite
+
+108
+00:11:35,520 --> 00:11:40,040
+بيظل عبارة عن e, a, a تربية, a تكييب إلى آخره لكن
+
+109
+00:11:40,040 --> 00:11:44,260
+لو ال order finite e, a, a تربية وصولها إلى a to n
+
+110
+00:11:44,260 --> 00:11:50,210
+minus 1الجزء التاني من الاثبات يا شباب بنثبت ان ال
+
+111
+00:11:50,210 --> 00:11:55,870
+order ل a to k عبارة عن n على الجيس كومون ديفازر ل
+
+112
+00:11:55,870 --> 00:12:01,590
+n و d انا مش هبدأ ب a to k هبدأ ب a to d و اثبت ان
+
+113
+00:12:01,590 --> 00:12:06,010
+ال order ل a to d بيساوي n على d يعني الجيس كومون
+
+114
+00:12:06,010 --> 00:12:11,550
+ديفازر ل n و k و بعدين عن طريق ان هذه ال sub group
+
+115
+00:12:11,550 --> 00:12:17,590
+بتساوي هذه ال sub group فال order اللي هم واحدحسب
+
+116
+00:12:17,590 --> 00:12:20,790
+قاعدة السابقة ال order لل generator هيكون واحد
+
+117
+00:12:20,790 --> 00:12:24,010
+يكبر ال order ل a to k و ال order ل a to d
+
+118
+00:12:24,010 --> 00:12:28,630
+متساويين فلو كان ال order ل a to d بيساوي n على d
+
+119
+00:12:28,630 --> 00:12:36,990
+هصير ال order ل a to k برضه n على d دي
+
+120
+00:12:36,990 --> 00:12:44,730
+بدت ساوي ال grease common divisor ل n و k and n
+
+121
+00:12:44,730 --> 00:12:54,110
+بدت ساوي dtحسب الجزء الأول او D تتساوي او T تتساوي
+
+122
+00:12:54,110 --> 00:13:05,310
+N على D Now A to D أُس T عبارة عن A to D أُس N على
+
+123
+00:13:05,310 --> 00:13:09,810
+D هي عبارة عن A أُس N بدي تساوي ال identity
+
+124
+00:13:09,810 --> 00:13:16,870
+وبالتالي A to D أُس T بيعطيني ال identityيقبل
+
+125
+00:13:16,870 --> 00:13:21,730
+order ل A to D أقل
+
+126
+00:13:21,730 --> 00:13:29,710
+أو يساوي T طيب أنا بدأ أثبت أنه يساوي هفترض العكس
+
+127
+00:13:29,710 --> 00:13:40,750
+أنه أقل من ال T assume that ال order ل A to D بدأ
+
+128
+00:13:40,750 --> 00:13:49,020
+تساوي I و I أقل من T اللي هي بتساوي Nعلى D هذا إيش
+
+129
+00:13:49,020 --> 00:13:57,180
+معناته؟ معناته ال A to D أُص I بدي تساوي ال
+
+130
+00:13:57,180 --> 00:14:03,520
+identity وبالتالي ال A to DI بدي تساوي ال identity
+
+131
+00:14:03,520 --> 00:14:11,860
+هذا معناته أن N أقل أو يساوي DI لإن ال order لل A
+
+132
+00:14:11,860 --> 00:14:22,370
+بساوي ال N butI أقل من ال T ليه بتساوي N على D D I
+
+133
+00:14:22,370 --> 00:14:29,870
+أقل من ال N إيش في بين الجمعتين هدول ال N أقل أو
+
+134
+00:14:29,870 --> 00:14:35,750
+يساوي D I و ال D I أقل من مين من ال N صحيح عندك
+
+135
+00:14:35,750 --> 00:14:36,370
+تناقض
+
+136
+00:14:41,450 --> 00:14:46,670
+تناقض كيف بقول أنه الرقم هذا اللي هو N أقل أو سوى
+
+137
+00:14:46,670 --> 00:14:51,230
+DI وفي نفس الوقت هو أكبر منه مادام فيه تناقض يجب
+
+138
+00:14:51,230 --> 00:14:57,390
+فيه فرض أنا فرض وخاطئ يجب ال order ل A to D بدت
+
+139
+00:14:57,390 --> 00:15:05,630
+سوى T بدت سوى N على Dال order ل a to k عبارة عن ال
+
+140
+00:15:05,630 --> 00:15:09,730
+order generated by a to k اللي هي نفس ال order
+
+141
+00:15:09,730 --> 00:15:13,750
+generated by a to d طبعا هذه أخدناها المحاضرة
+
+142
+00:15:13,750 --> 00:15:18,570
+الماضية هذه هي موجودة قدامك توي أثبتناها ال order
+
+143
+00:15:18,570 --> 00:15:26,570
+ل a to d عبارة عن ال order ل a to d بd سوى n على d
+
+144
+00:15:26,570 --> 00:15:33,650
+وبالتالي ال order ل a to kبدي ساوي N على D اللي هو
+
+145
+00:15:33,650 --> 00:15:40,290
+N على الجريست common divisor ل N و K وهو المطلوب
+
+146
+00:15:40,290 --> 00:15:43,970
+فاضح؟
+
+147
+00:15:43,970 --> 00:15:50,710
+أي جزية بالظبط طيب انت مش فيعمل contradiction الله
+
+148
+00:15:50,710 --> 00:15:57,490
+اللي بقى دهطيب ماشي هجيت احنا بنثبت ان ال order ل
+
+149
+00:15:57,490 --> 00:16:02,590
+A to K بدي ساوي ال N على D انا ما بدت ب A to K بدت
+
+150
+00:16:02,590 --> 00:16:08,850
+ب A to D ال A to D بنشوف ال order اللي هجداش حسب
+
+151
+00:16:08,850 --> 00:16:14,190
+اللي انا كتبته هنا ان ال N بيساوي D في T ال T بدي
+
+152
+00:16:14,190 --> 00:16:21,300
+تساوي N على D رفعت ال A to D أس Tصارت a to d أس n
+
+153
+00:16:21,300 --> 00:16:28,400
+على d اللي عبارة عن a to n a to n مش بتساوي ليش ال
+
+154
+00:16:28,400 --> 00:16:33,340
+order ل a جديش بيساوي يعني يكبر ال order ل a to d
+
+155
+00:16:33,340 --> 00:16:39,500
+هيكون أقل أو يساوي t لإن مدام انت رفعت الأنصر ل
+
+156
+00:16:39,500 --> 00:16:43,840
+power و أعطاك identity يكبر order للأنصر أقل من ال
+
+157
+00:16:43,840 --> 00:16:48,130
+power هذاأو يساوي حاجات انا بدي N في المساوية عشان
+
+158
+00:16:48,130 --> 00:16:52,290
+اصل لتناقض فرضت ان ال order أقل مش أقل أو يساوي
+
+159
+00:16:52,290 --> 00:16:59,110
+يعني أخدته I و أقل من T حاجات ال order I ف A to D
+
+160
+00:16:59,110 --> 00:17:04,990
+الكل أُس I المفروض يعطيني identity ف A to D I بيده
+
+161
+00:17:04,990 --> 00:17:07,970
+يساوي identity حاجات انا بعرف ان ال order ال A
+
+162
+00:17:07,970 --> 00:17:13,710
+بيساوي N لما بدي ارفع ال A ل powerويعطيك identity
+
+163
+00:17:13,710 --> 00:17:18,530
+هذا البرر يبدو يساوي صفريا إما إذا كان موجب يكون
+
+164
+00:17:18,530 --> 00:17:22,770
+أكبر من ال N أنا بتشتغل على ال D موجب وال I موجب
+
+165
+00:17:22,770 --> 00:17:27,790
+يكبر ال D I أكبر من ال N لكن أنا حسب ما هو موجود
+
+166
+00:17:27,790 --> 00:17:32,710
+عندي I أقل من ال D بتساوي N على D ف I D أقل من ال
+
+167
+00:17:32,710 --> 00:17:37,230
+N كيف I D أكبر أو يساوي ال N و I D في نفس الوقت
+
+168
+00:17:37,230 --> 00:17:42,490
+أصغر من ال N صار تناقض تناقض هذا هيرجعك ويقولك أن
+
+169
+00:17:42,490 --> 00:17:45,670
+الفرض اللي انت فرضه خاطئمين هو الفائض اللي انت
+
+170
+00:17:45,670 --> 00:17:52,370
+فرضته انه I أقل من T؟ ايش الصواب؟ انه يساويإنه
+
+171
+00:17:52,370 --> 00:17:55,590
+يساوي الـ T وبالتالي ال order ل A to D بيبدأ تساوي
+
+172
+00:17:55,590 --> 00:17:59,670
+ال T طبعا هذه السلسلة معروفة هتلاقى المحاضرة
+
+173
+00:17:59,670 --> 00:18:03,530
+الماضية أن order العنصر بيساوي order generated
+
+174
+00:18:03,530 --> 00:18:08,550
+للعنصر أو بالسماع للعنصر هذه تاوي أثبتناها أنه
+
+175
+00:18:08,550 --> 00:18:11,090
+generated by A to K بيساوي generated by A to D
+
+176
+00:18:11,090 --> 00:18:15,150
+ارجع لمحاضرة المرة الماضية وهذه تاوي جيبناها أن
+
+177
+00:18:15,150 --> 00:18:20,450
+على D خد الأول مع الأخير بيكون المطلوب عندك ان وجد
+
+178
+00:18:20,450 --> 00:18:21,370
+واضح؟
+
+179
+00:18:27,050 --> 00:18:34,150
+واضح؟ طبعا معايا كم تساوي الجيز common divisor لان
+
+180
+00:18:34,150 --> 00:18:38,310
+و كيه حسب التعريف تبع الجيز common divisor الجيز
+
+181
+00:18:38,310 --> 00:18:42,930
+common divisor لازم يكون positive لازم يكون
+
+182
+00:18:42,930 --> 00:18:50,210
+positive في على هذه النظرية تلاتة corollaries
+
+183
+00:18:50,210 --> 00:18:51,470
+تلاتة
+
+184
+00:18:53,530 --> 00:19:01,850
+ملاحظات هنبدأ بالملاحظة الأولى وكتيش بيتساوى ال
+
+185
+00:19:01,850 --> 00:19:09,370
+generated ل two powers ل ال a كولر
+
+186
+00:19:09,370 --> 00:19:13,970
+واحد نص
+
+187
+00:19:13,970 --> 00:19:20,270
+الكولر بيقول التالي let order ال a بدو يساوي n
+
+188
+00:19:20,270 --> 00:19:22,090
+then
+
+189
+00:19:23,780 --> 00:19:30,840
+generated by a to i بتساوي generated by a to j if
+
+190
+00:19:30,840 --> 00:19:35,220
+and only if لجريس common divisor لأنه i بيساوي
+
+191
+00:19:35,220 --> 00:19:43,080
+لجريس common divisor لأنه j two
+
+192
+00:19:43,080 --> 00:19:49,210
+powers لل aبوالدول نفس ال subgroup إذا كانت two
+
+193
+00:19:49,210 --> 00:19:54,330
+parallels هدول لجهيز common divisors Lهم مع ال N
+
+194
+00:19:54,330 --> 00:20:09,230
+متساويين طيب from theorem 4.2 generated by a to i
+
+195
+00:20:09,230 --> 00:20:12,470
+إيش بتساوي؟
+
+196
+00:20:12,470 --> 00:20:19,380
+إيش بتساوي؟generated by a grace common divisor
+
+197
+00:20:19,380 --> 00:20:27,680
+لأنواع a صح ولا لأ؟ و generated by a to j عبارة عن
+
+198
+00:20:27,680 --> 00:20:34,760
+generated by a grace common divisor لأنواع j طيب
+
+199
+00:20:34,760 --> 00:20:42,720
+هذه تمهيد نجي للاتجاه الأول assume
+
+200
+00:20:50,820 --> 00:20:55,460
+generated by a to i بيساوي generated by a to g
+
+201
+00:20:55,460 --> 00:21:06,660
+هاداش
+
+202
+00:21:06,660 --> 00:21:13,440
+معناته معناته generated by a agreed common divisor
+
+203
+00:21:13,440 --> 00:21:21,480
+لأن و I بيساوي generated by aواصل جريسكم من
+
+204
+00:21:21,480 --> 00:21:25,800
+divisor لأنواجين
+
+205
+00:21:25,800 --> 00:21:29,680
+متساوين،
+
+206
+00:21:29,680 --> 00:21:39,100
+إيش يعني؟ معناته ال order اللي لهم متساوي
+
+207
+00:21:39,100 --> 00:21:45,660
+طيب
+
+208
+00:21:45,660 --> 00:21:46,760
+إيش ال order لها دي؟
+
+209
+00:21:51,470 --> 00:21:56,370
+انت على فكرة انا ممكن يعني اسهل عليك الأمور يعني
+
+210
+00:21:56,370 --> 00:22:01,530
+اتجاوز المرحلة دي و اقولك انه هذه الخطوة مابتلزمش
+
+211
+00:22:01,530 --> 00:22:06,810
+واستبدلك إياها ب I و J و هي كده بيطلع معاك أسهل
+
+212
+00:22:06,810 --> 00:22:11,970
+الإثبات هجيت ال order that is generated by A to I
+
+213
+00:22:11,970 --> 00:22:20,610
+جديش and على الجريس common divisor ل N و Iلان ما
+
+214
+00:22:20,610 --> 00:22:26,390
+مسحناهش generated by a to j عبارة عن n على ال
+
+215
+00:22:26,390 --> 00:22:32,950
+agreeable common divisor ل n و j طيّر ال n من
+
+216
+00:22:32,950 --> 00:22:35,890
+الطرفين وضع الطرفين في وسطين حيث يكون معايا
+
+217
+00:22:35,890 --> 00:22:39,830
+agreeable common divisor ل n و j عبارة عن
+
+218
+00:22:39,830 --> 00:22:45,010
+agreeable common divisor ل n و i هذا الجزء الأول
+
+219
+00:22:45,010 --> 00:22:48,810
+الجزء التاني f
+
+220
+00:22:49,980 --> 00:22:54,960
+الـ Greece Common Divisor لان و جيه لان و ايه
+
+221
+00:22:54,960 --> 00:22:59,680
+بيساوي الـ Greece Common Divisor لان و جيه معناته
+
+222
+00:22:59,680 --> 00:23:09,340
+الـ Generated by A لان و ايه بيساوي الـ Greece
+
+223
+00:23:09,340 --> 00:23:15,200
+Common Divisor لان و جيه معناته الـ Generated by A
+
+224
+00:23:15,200 --> 00:23:21,390
+to I بيساوي الـ Generated by A to Gوهو المطلوب
+
+225
+00:23:21,390 --> 00:23:24,410
+واضحة
+
+226
+00:23:24,410 --> 00:23:34,630
+و الله محتاج اعادة شرح واضحة و الله بدنا ايدها تمد
+
+227
+00:23:34,630 --> 00:23:39,590
+على الخاصية هذه ف ال generated .. مدام هذا بيساوي
+
+228
+00:23:39,590 --> 00:23:42,150
+هذا الأس بيساوي الأس فال generated بيساوي ال
+
+229
+00:23:42,150 --> 00:23:45,090
+generated هذا بيساوي هذا و هذا بيساوي هذا
+
+230
+00:23:51,220 --> 00:24:06,300
+طيب كوالر التانية كوالر
+
+231
+00:24:06,300 --> 00:24:13,620
+التانية بتقولك وقت ايش power لل a بيولد ال
+
+232
+00:24:13,620 --> 00:24:17,120
+generated by aيعني انا لو اشتغلت علي group J
+
+233
+00:24:17,120 --> 00:24:23,280
+generated by some A مين هي الأسس تبعت الـ A الغير
+
+234
+00:24:23,280 --> 00:24:30,540
+الواحد اللي بتولد الـ J؟ let J generated by A
+
+235
+00:24:37,640 --> 00:24:43,100
+الـ j بتكون generated by a to k if and only if
+
+236
+00:24:43,100 --> 00:24:50,980
+لجريست common divisor ل n و k بده يساوي الواحد
+
+237
+00:24:50,980 --> 00:24:57,240
+proof بعدها
+
+238
+00:24:57,240 --> 00:24:59,140
+دي سهل هيتمل الكورلر اللي جابلها
+
+239
+00:25:04,470 --> 00:25:09,470
+الـ j بيساوي generated by a to k if and only if
+
+240
+00:25:09,470 --> 00:25:17,050
+generated by a بيساوي generated by a to k ليش؟
+
+241
+00:25:17,050 --> 00:25:23,410
+ليش؟ لأن الـ j generated by a شيل الـ j و حط مدلة
+
+242
+00:25:23,410 --> 00:25:29,230
+generated by a هذا الكلام ماقدش يكون صحيح if and
+
+243
+00:25:29,230 --> 00:25:35,250
+only if لجريس common divisor لانو 1 طبعا انا
+
+244
+00:25:35,250 --> 00:25:41,790
+المفترض اضيف الجملة هذه with order لل A بدي ساوي
+
+245
+00:25:41,790 --> 00:25:46,010
+ال N if
+
+246
+00:25:46,010 --> 00:25:50,110
+and only if ال G is common divisor ل N و 1 بيساوي
+
+247
+00:25:50,110 --> 00:25:56,790
+ال G is common divisor ل N و K ما هو A to 1 و A to
+
+248
+00:25:56,790 --> 00:26:03,910
+K ال 1 I و ال K احطها J و اطبق القاعدة هذهطيب لجيز
+
+249
+00:26:03,910 --> 00:26:11,950
+common divisor ل n و 1 جديش؟ واحد لإن واحد بدا
+
+250
+00:26:11,950 --> 00:26:16,330
+تساوي لجيز common divisor ل n و k يعني if and only
+
+251
+00:26:16,330 --> 00:26:21,630
+if لجيز common divisor ل n و k بتساوي واحد
+
+252
+00:26:49,080 --> 00:26:54,060
+كورلر التالتة هي عبارة عن تطبيق الكورلر التانية
+
+253
+00:26:54,060 --> 00:27:03,160
+لكن على Z to N او Z to N كورلر ايه؟
+
+254
+00:27:03,160 --> 00:27:09,500
+تلاتة An
+
+255
+00:27:09,500 --> 00:27:13,460
+integral K
+
+256
+00:27:13,460 --> 00:27:15,860
+N
+
+257
+00:27:17,600 --> 00:27:29,020
+زن is a generator of zn if and only if degrees
+
+258
+00:27:29,020 --> 00:27:38,930
+common divisor لن وk بدي سوى واحدالعنصر k اللي
+
+259
+00:27:38,930 --> 00:27:42,110
+موجود في الجيز common divisor ل z و n بيكون
+
+260
+00:27:42,110 --> 00:27:46,650
+generator ل z to n if and only في الجيز common
+
+261
+00:27:46,650 --> 00:27:59,970
+divisor ل n و k بيستوي واحد بروف سهل zn
+
+262
+00:27:59,970 --> 00:28:07,730
+بيستوي generated by kif and only if generated by
+
+263
+00:28:07,730 --> 00:28:14,430
+واحد بيكون generated by واحد to k if and only if
+
+264
+00:28:14,430 --> 00:28:21,150
+لجهزكم ال divisor لان و كي بيسوي واحد ما هو ال z
+
+265
+00:28:21,150 --> 00:28:26,330
+ان generated by واحد لما اقول generated by كي في z
+
+266
+00:28:26,330 --> 00:28:30,830
+ان الكي عبارة عن ايش عن كي في واحد كي في واحد مع
+
+267
+00:28:30,830 --> 00:28:41,670
+الجامعة هي عبارة عن ايش واحدأسكت ناخد مثال بس
+
+268
+00:28:41,670 --> 00:28:53,210
+مش على زدان ونبدأ
+
+269
+00:28:53,210 --> 00:29:02,170
+بزدان four زد .. اختار رقم زد كده إيش بدك؟ سبعة
+
+270
+00:29:02,170 --> 00:29:14,000
+صغيرةزي التلاتين the generators of
+
+271
+00:29:14,000 --> 00:29:24,700
+z 30 are the integers k أنتمي لزي التلاتين with
+
+272
+00:29:24,700 --> 00:29:32,490
+لجريس common divisor ل k والتلاتين مش بيساويشباب
+
+273
+00:29:32,490 --> 00:29:36,430
+العناصر اللي بتكون أجل من ال N و relative ال prime
+
+274
+00:29:36,430 --> 00:29:44,410
+مع ال N و أين بنحطها؟
+
+275
+00:29:44,410 --> 00:29:50,230
+لأ و أين بنحطها؟ في ال U و كنا نعدها باقتران في
+
+276
+00:29:50,230 --> 00:29:56,450
+نظرية العدد، إيش اسمه؟ اللي أخد باقتران اسمه ال
+
+277
+00:29:56,450 --> 00:30:01,180
+Phi ايه ال Phi function؟طبعا مين يالي جيزكم on
+
+278
+00:30:01,180 --> 00:30:05,000
+divisor اللي مع ال 30 بيعطيني واحد كيه هيساوي
+
+279
+00:30:05,000 --> 00:30:10,120
+واحد؟ مين بعد ال واحد؟ اتنين لأ، تلاتة لأ، اربع
+
+280
+00:30:10,120 --> 00:30:17,020
+لأ، خمسة لأ، ستة لأ، سبعة، احداش، تلاتاش، سبعتاش،
+
+281
+00:30:17,020 --> 00:30:24,200
+تسعة عشر، تلاتة و عشرين، تسعة و عشرين يقبل
+
+282
+00:30:24,200 --> 00:30:31,400
+generators لزد تلاتين عبارة عن مين؟ده أقامها دول
+
+283
+00:30:31,400 --> 00:30:39,340
+لو بننعمم ال generators of
+
+284
+00:30:39,340 --> 00:30:50,280
+zn are the integrals k اللي بينتموا ل zn with
+
+285
+00:30:50,280 --> 00:30:58,260
+لجريس common divisor ل k و n بده يسوى واحد these
+
+286
+00:30:58,260 --> 00:31:00,140
+integrals
+
+287
+00:31:02,860 --> 00:31:10,840
+are the members of
+
+288
+00:31:10,840 --> 00:31:15,280
+UN
+
+289
+00:31:15,280 --> 00:31:18,700
+are
+
+290
+00:31:18,700 --> 00:31:23,940
+the elements of
+
+291
+00:31:23,940 --> 00:31:31,240
+UN يعني ال generators تبعون ال ZN هم عناصر مين؟
+
+292
+00:31:31,240 --> 00:31:42,390
+عناصر مين؟الـ U1 تلاتة find
+
+293
+00:31:42,390 --> 00:31:51,730
+the generators of U50
+
+294
+00:31:51,730 --> 00:31:59,410
+هنجيب
+
+295
+00:31:59,410 --> 00:32:02,050
+مولدات الـ U50
+
+296
+00:32:06,680 --> 00:32:14,700
+لأ هذه قاعدة لل ZN مش لل UN أصلا
+
+297
+00:32:14,700 --> 00:32:19,320
+ال UN مش ضرور تكون Cyclic فلازم تكون Cyclic في
+
+298
+00:32:19,320 --> 00:32:24,940
+الأول قبل ما تدور على مين على ال generator تبعونها
+
+299
+00:32:24,940 --> 00:32:29,020
+solution أول
+
+300
+00:32:29,020 --> 00:32:36,360
+خطوة list the elements in U50
+
+301
+00:32:38,880 --> 00:32:47,820
+مين عراسي ال U50؟ لو قولنا U50، إيش بتساوي؟ واحد،
+
+302
+00:32:47,820 --> 00:32:51,740
+تلاتة،
+
+303
+00:32:51,740 --> 00:32:58,960
+سبعة، تسعة، إحدى عشر، تلاتة عشر، سبعة عشر، تسعة
+
+304
+00:32:58,960 --> 00:33:06,040
+عشر، تلاتة وعشرين، سبعة وعشرين، تسعة وعشرين، في
+
+305
+00:33:06,040 --> 00:33:11,470
+أنصر الصناعة، واحد وعشرينوأحد و تلاتين تلاتة و
+
+306
+00:33:11,470 --> 00:33:14,830
+تلاتين سبعة و تلاتين تسعة و تلاتين واحد و أربعين
+
+307
+00:33:14,830 --> 00:33:24,650
+تلاتة و أربعين سبعة و أربعين تسعة و أربعين تمام
+
+308
+00:33:24,650 --> 00:33:38,350
+الخطوة التانية find a generator of you خمسينعطينا
+
+309
+00:33:38,350 --> 00:33:47,470
+عنصر بيولد ال U50 الواحد لأ احنا
+
+310
+00:33:47,470 --> 00:33:51,190
+هانا بنشغل على ضغط مش على جامعة عشان انت تقدر تجيب
+
+311
+00:33:51,190 --> 00:33:58,470
+جنايته ال U50 الأخضر لها جداش عده
+
+312
+00:33:58,470 --> 00:34:00,330
+دول 4 في 25
+
+313
+00:34:06,220 --> 00:34:12,360
+أربعات و أكمل أربعة منهم هاي أربعة، هاي كمان واحدة
+
+314
+00:34:12,360 --> 00:34:14,880
+و هاي كمان واحدة و هاي كمان واحدة و كمان واحدة
+
+315
+00:34:14,880 --> 00:34:23,080
+عشرين أنصار We must find .. find
+
+316
+00:34:23,080 --> 00:34:30,080
+an element in U خمسين with order
+
+317
+00:34:41,180 --> 00:34:53,740
+عشان ماضيعش وجهة we can show that x بسوء تلاتة is
+
+318
+00:34:53,740 --> 00:35:00,380
+or satisfy this
+
+319
+00:35:00,380 --> 00:35:01,820
+property
+
+320
+00:35:04,360 --> 00:35:08,300
+مش هضيع وجد التلاتة بتحقق هذا الكلام عشان اثبت
+
+321
+00:35:08,300 --> 00:35:12,160
+لازم اضرب التلاتة في نفس سنة لعندي عشرين وكل مرة
+
+322
+00:35:12,160 --> 00:35:16,400
+بتولد نفسك لما بيجيبلك سؤال في الامتحان مش هجيبلك
+
+323
+00:35:16,400 --> 00:35:20,600
+يومية مثلا تقعد تضرب اربعين مرة او او اشتغل عشان
+
+324
+00:35:20,600 --> 00:35:23,920
+تمن
+
+325
+00:35:23,920 --> 00:35:29,020
+عناصر يعني هتضرب كم مرة هذا can not cycle اصلا
+
+326
+00:35:29,020 --> 00:35:31,960
+يعني طيب
+
+327
+00:35:33,840 --> 00:35:40,360
+يعني اللي وصلنا له انه ال U50 generated
+
+328
+00:35:40,360 --> 00:35:49,120
+by مين؟ by تلاتة هل جيت؟ وقتش ال U50 بتكون
+
+329
+00:35:49,120 --> 00:35:56,660
+generated by عنصر تاني power للتلاتة لما يكون ال
+
+330
+00:35:56,660 --> 00:35:59,880
+power هذا relative ال prime مع مين؟
+
+331
+00:36:03,120 --> 00:36:09,300
+مع ال order ل ال U50 مش مع الخمسين قطوة تالتة
+
+332
+00:36:09,300 --> 00:36:20,460
+since ال U50 generated by تلاتة then ال U50
+
+333
+00:36:20,460 --> 00:36:25,280
+generated by تلاتة أُس K if and only if لجريس
+
+334
+00:36:25,280 --> 00:36:30,280
+كومون Divisor لل
+
+335
+00:36:30,280 --> 00:36:37,540
+order ل U50و ال K بدي سوى واحد يعني هذا if and on
+
+336
+00:36:37,540 --> 00:36:44,580
+if لجريمز common divisor ل ال 20 و ال K بيسوى واحد
+
+337
+00:36:44,580 --> 00:36:56,750
+النتيجة we must find the elementsK أقل من العشرين
+
+338
+00:36:56,750 --> 00:37:01,710
+أكبر ويساوي واحد with degrees common divisor
+
+339
+00:37:01,710 --> 00:37:10,210
+العشرين وK بيساوي واحد مين هذه العناصر؟ واحد،
+
+340
+00:37:10,210 --> 00:37:16,090
+تلاتة، سبعة، تسعة، احداشر، تلتاشر، سبعتاشر،
+
+341
+00:37:16,090 --> 00:37:20,450
+تسعتاشر، شوية يا شبابمش هذه العناصر اللي بتولد ال
+
+342
+00:37:20,450 --> 00:37:25,390
+U50 لأ هذه ال powers اللي بدي أرفع التلاتة إلها
+
+343
+00:37:25,390 --> 00:37:31,730
+عشان تجيبلي عناصر تولد ال U50 هذا معناته الخطوة
+
+344
+00:37:31,730 --> 00:37:35,650
+الأخيرة ال
+
+345
+00:37:35,650 --> 00:37:44,050
+U50 generated by تلاتة generated by تلاتة أس تلاتة
+
+346
+00:37:44,050 --> 00:37:51,460
+تلاتة أس سبعةتلاتة أُس تسعة وصولة لتلاتة أُس تسعة
+
+347
+00:37:51,460 --> 00:37:58,440
+واتعاش طيب تلاتة أُس واحد معروفة تلاتة أُس ثلاثة
+
+348
+00:37:58,440 --> 00:38:04,300
+عبارة عن تلاتة في نفسها تلاتة في تلاتة في تلاتة جد
+
+349
+00:38:04,300 --> 00:38:15,980
+أيش؟ سبعة وعشرين طيب تلاتة أُس سبعة عبارة عن أيش؟
+
+350
+00:38:17,340 --> 00:38:23,800
+تلاتة في نفسها جمرة جديش؟
+
+351
+00:38:23,800 --> 00:38:27,240
+شيل
+
+352
+00:38:27,240 --> 00:38:35,040
+منها الخمسينات جديش هيضل؟ 2187 هيضل
+
+353
+00:38:35,040 --> 00:38:43,800
+37 شيل الخمسينات طيب تلاتة أس تسعة عبارة
+
+354
+00:38:43,800 --> 00:38:44,380
+عن مين؟
+
+355
+00:38:51,300 --> 00:39:08,360
+أضغط تلاتة في تلاتة في سبعة و تلاتين تلاتة
+
+356
+00:39:08,360 --> 00:39:13,440
+تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة
+
+357
+00:39:13,440 --> 00:39:13,600
+تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة
+
+358
+00:39:13,600 --> 00:39:19,440
+تلاتة تلبيظل تلاتة و تلاتين بقى
+
+359
+00:39:19,440 --> 00:39:26,200
+لعندي كمان أربع ناصر تلاتة قصة احداشر اقرب عن تسعة
+
+360
+00:39:26,200 --> 00:39:35,480
+في تلاتة و تلاتين جديش 297 شيل
+
+361
+00:39:35,480 --> 00:39:45,050
+الخمسينات 47 تلاتة قصة تلاتاشر اقرب عن تسعةفي سبعة
+
+362
+00:39:45,050 --> 00:39:54,150
+واربعين جديش يا شباب اربعمية تلاتة و عشرين بيضل
+
+363
+00:39:54,150 --> 00:40:01,750
+تلاتة و عشرين تلاتة اص سبعة عشر عبارة عن واحد و
+
+364
+00:40:01,750 --> 00:40:10,310
+تمانين في تلاتة و عشرين جديش شيل
+
+365
+00:40:10,310 --> 00:40:18,840
+ال ..الف وتمنية و تلاتة و ستين تلت عش اخر حاجة
+
+366
+00:40:18,840 --> 00:40:24,460
+تلاتة و ست تسعة عش عبارة عن تسعة في تلت عش تسعة في
+
+367
+00:40:24,460 --> 00:40:32,400
+تلت عش جداش مية و سبعة عش بيضل سبعة عش يكبر the
+
+368
+00:40:32,400 --> 00:40:36,840
+generators of
+
+369
+00:40:36,840 --> 00:40:46,130
+you خمسين اه ابدأ تلاتةسبعة و عشرين سبعة و تلاتين
+
+370
+00:40:46,130 --> 00:40:49,210
+تلاتة
+
+371
+00:40:49,210 --> 00:40:57,450
+و تلاتين سبعة و أربعين تلاتة و عشرين تلتاش سبعة
+
+372
+00:40:57,450 --> 00:41:03,330
+واضح تمانية
+
+373
+00:41:03,330 --> 00:41:08,150
+generators هناخد
+
+374
+00:41:08,150 --> 00:41:15,040
+نظرية جدام ان لو كانت عندك groupالـ order لها n و
+
+375
+00:41:15,040 --> 00:41:20,480
+الـ Cyclic فعدد ال generator بيساوي فاي لان اللي
+
+376
+00:41:20,480 --> 00:41:29,780
+فاي بقى عن الإغلاق فاي function انا مغاري طيب
+
+377
+00:41:29,780 --> 00:41:34,800
+ايش المشكلة طيب
+
+378
+00:41:34,800 --> 00:41:37,380
+ايش المشكلة طيب ايش المشكلة طيب ايش المشكلة طيب
+
+379
+00:41:37,380 --> 00:41:40,700
+ايش المشكلةماشي المشكلة يا عزيزي؟ المشكلة هي ان في
+
+380
+00:41:40,700 --> 00:41:44,040
+كمان واحد مليون وخمسين يقول الصحابي .. وقول في خلل
+
+381
+00:41:44,040 --> 00:41:48,280
+في الحساب هنا فقط واحد مفروض .. واحد مفروض سبعت
+
+382
+00:41:48,280 --> 00:41:57,580
+عشر هذا هو .. هذي سبعت عشر مش سبعة كلامك
+
+383
+00:41:57,580 --> 00:42:06,260
+صحيح أي سؤال تاني يا شباب؟ أي معلومة تانية مطلوبة؟
+
+384
+00:42:06,260 --> 00:42:13,930
+أي نقطة مش مفهومة في دارس اليوم؟فضّال .. .. .. ..
+
+385
+00:42:13,930 --> 00:42:19,710
+.. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. ..
+
+386
+00:42:19,710 --> 00:42:21,130
+.. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. ..
+
+387
+00:42:21,130 --> 00:42:25,090
+.. .. .. .. ..
+
+388
+00:42:25,090 --> 00:42:25,870
+.. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. ..
+
+389
+00:42:25,870 --> 00:42:25,890
+.. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. ..
+
+390
+00:42:25,890 --> 00:42:26,650
+.. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. ..
+
+391
+00:42:26,650 --> 00:42:27,070
+.. .. .. .. .. .. ..
+
+392
+00:42:37,660 --> 00:42:41,440
+الـ groups نظرية اربعة تلاتة طبعا طويلة شوية هي
+
+393
+00:42:41,440 --> 00:42:48,420
+تلت افرع هناخد فيها انه كل subgroup من cyclic
+
+394
+00:42:48,420 --> 00:42:55,920
+group هتكون cyclic هناخد علاقة ل .. لو كان عندي ال
+
+395
+00:42:55,920 --> 00:43:02,120
+cyclic subgroup ال generator تبعه ايش تفاصيله شغلة
+
+396
+00:43:02,120 --> 00:43:06,410
+تالتةطبعا هنجي تقولنا ان ال order لو كان عندي
+
+397
+00:43:06,410 --> 00:43:10,330
+subgroup من cyclic فهي cyclic هنتبه ان ال order
+
+398
+00:43:10,330 --> 00:43:14,930
+اللي هيقسم ال order لل group لو كان finite و العكس
+
+399
+00:43:14,930 --> 00:43:18,990
+ان لو كان عندي قاسم ل order ل group فانا بقدر
+
+400
+00:43:18,990 --> 00:43:23,590
+ألاقي subgroup لها نفس ال order هتطول شوية معنى
+
+401
+00:43:23,590 --> 00:43:28,690
+النظرية يعني هناخدها في المحاضرة القادمة تفضل
+
+402
+00:43:31,020 --> 00:43:36,880
+الخمسين جيبنا ال order قبل نشوف جيبنا انه التلاتة
+
+403
+00:43:36,880 --> 00:43:41,540
+مولد ل ال U خمسين بعدين اذا جيبكي MK اللي بتكون ال
+
+404
+00:43:41,540 --> 00:43:45,140
+.. ال bride مع ال order ل ال U خمسين اه مش .. مش ل
+
+405
+00:43:45,140 --> 00:43:48,940
+الخمسين بس جيبكي MK بالظبط بعدين برفع التلاتة لها
+
+406
+00:43:48,940 --> 00:43:51,760
+عشان تعطينا ال U خمسين بالظبط بس لازم في الأول
+
+407
+00:43:51,760 --> 00:43:56,410
+اجيبهجيب generator .. انا لو ايش .. ايش سفدت لو
+
+408
+00:43:56,410 --> 00:43:58,410
+جيبت relative ل Brian مع ال order و أنا مافيش عندي
+
+409
+00:43:58,410 --> 00:44:02,590
+generator؟ يمكن ما تكونش Cyclic أصلا طب السؤال اذا
+
+410
+00:44:02,590 --> 00:44:07,510
+أجيبش السبت عشر in versus .. هي موجودة السبت عشر
+
+411
+00:44:07,510 --> 00:44:10,790
+.. مين ال .. اللي جنبك توي سألة أنا فاهم .. يعني
+
+412
+00:44:10,790 --> 00:44:13,430
+لو انت عاملت مع السبت عشر طب انت قاعد يجيب التلاتة
+
+413
+00:44:13,430 --> 00:44:17,960
+و السبت عشر و الباقيةال جيب اثنين و ال ستة .. و
+
+414
+00:44:17,960 --> 00:44:21,100
+على الأقل اثنين عشان تجرب ال ساعة تبدأك واحد
+
+415
+00:44:21,100 --> 00:44:24,000
+generator عشان تكون .. هل جيتك .. تبدأ كل المولدات
+
+416
+00:44:24,000 --> 00:44:27,420
+يعني .. بلأ معايا انت عشان تثبت ان ال group cyclic
+
+417
+00:44:27,420 --> 00:44:31,660
+بيكفيك generator واحد مش دور ال جيب اثنين هذي
+
+418
+00:44:31,660 --> 00:44:33,520
+الشغلة، الشغلة التانية ليش ما شغلناش على السبع
+
+419
+00:44:33,520 --> 00:44:37,680
+دعش؟ مين أسهل؟ تضرب التلتات ولا تضرب السبع دعشات؟
+
+420
+00:44:37,680 --> 00:44:41,640
+تلتات أو تلتات .. بالظبط يعطيكوا العافية، تكمل
+
+421
+00:44:41,640 --> 00:44:42,480
+محاضرة جاهزة الله
+
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/wwhcAnUFnP8_raw.json b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/wwhcAnUFnP8_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..7055249dc994a134582ef99c27c3df8d4483c09d
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/wwhcAnUFnP8_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 3982, "start": 21.16, "end": 39.82, "text": "بسم الله الرحمن الرحيم نكمل ما ابتدأنا به في المرحلة الصباحية وهو نهاية chapter locosets and lagrange theorem في الفترة الصباحية اعطينا اربع crawlers على نظرية Lagrange وعطينا على ذلك بعض الأمثلة", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 8717, 24793, 1211, 19446, 48127, 2655, 3215, 10721, 8315, 39627, 8978, 9673, 2288, 5016, 37977, 31767, 3555, 39319, 10632, 37037, 2407, 8717, 11296, 10632, 7187, 1628, 329, 1385, 293, 8953, 14521, 20904, 8978, 27188, 2655, 25720, 31767, 3555, 39319, 10632, 1975, 3615, 9566, 1829, 8315, 1975, 25513, 3615, 13999, 11977, 15844, 8717, 19913, 2288, 10632, 24886, 14521, 4032, 3615, 9566, 1829, 8315, 15844, 29910, 23275, 45030, 11242, 16247, 2304, 12984, 37977], "avg_logprob": -0.1793016916439857, "compression_ratio": 1.597938144329897, "no_speech_prob": 1.6689300537109375e-06, "words": [{"start": 21.16, "end": 21.52, "word": "بسم", "probability": 0.804443359375}, {"start": 21.52, "end": 21.7, "word": " الله", "probability": 0.9619140625}, {"start": 21.7, "end": 22.08, "word": " الرحمن", "probability": 0.9588216145833334}, {"start": 22.08, "end": 22.56, "word": " الرحيم", "probability": 0.99267578125}, {"start": 22.56, "end": 23.74, "word": " نكمل", "probability": 0.89794921875}, {"start": 23.74, "end": 23.84, "word": " ما", "probability": 0.720703125}, {"start": 23.84, "end": 25.42, "word": " ابتدأنا", "probability": 0.887109375}, {"start": 25.42, "end": 25.58, "word": " به", "probability": 0.61865234375}, {"start": 25.58, "end": 25.72, "word": " في", "probability": 0.93701171875}, {"start": 25.72, "end": 26.18, "word": " المرحلة", "probability": 0.9775390625}, {"start": 26.18, "end": 26.98, "word": " الصباحية", "probability": 0.9068603515625}, {"start": 26.98, "end": 27.66, "word": " وهو", "probability": 0.764892578125}, {"start": 27.66, "end": 28.2, "word": " نهاية", "probability": 0.9783528645833334}, {"start": 28.2, "end": 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196.97, "word": " group", "probability": 0.436767578125}, {"start": 196.97, "end": 197.29, "word": " of", "probability": 0.962890625}, {"start": 197.29, "end": 198.03, "word": " permutation", "probability": 0.62353515625}, {"start": 198.03, "end": 198.53, "word": " of", "probability": 0.94775390625}, {"start": 198.53, "end": 200.01, "word": " a6s", "probability": 0.5703125}], "temperature": 1.0}, {"id": 9, "seek": 21577, "start": 201.45, "end": 215.77, "text": "أي element I موجود في الاسلسل Stabilizer تبع الـ I I هي the subset of G consisting of all elements in G that fix ال I يعني ليه تثبت ال I؟ يعني صورة ال I بتكون من؟", "tokens": [10721, 1829, 4478, 286, 3714, 29245, 23328, 8978, 2423, 32277, 1211, 3794, 1211, 745, 5177, 6545, 6055, 3555, 3615, 2423, 39184, 286, 286, 39896, 264, 25993, 295, 460, 33921, 295, 439, 4959, 294, 460, 300, 3191, 2423, 286, 37495, 22653, 32239, 3224, 6055, 12984, 3555, 2655, 2423, 286, 22807, 37495, 22653, 20328, 13063, 3660, 2423, 286, 39894, 30544, 9154, 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-0.36049106291362215, "compression_ratio": 1.0625, "no_speech_prob": 0.0, "words": [{"start": 779.36, "end": 780.76, "word": "هذا", "probability": 0.300994873046875}, {"start": 780.76, "end": 781.4, "word": " الموضوع", "probability": 0.8685302734375}, {"start": 781.4, "end": 782.5, "word": " النظرية", "probability": 0.81005859375}, {"start": 782.5, "end": 783.8, "word": " التالية", "probability": 0.9928385416666666}], "temperature": 1.0}, {"id": 34, "seek": 82735, "start": 801.17, "end": 827.35, "text": "يبقى هذه نظرية نصف على ما يليه ثيرم let الـGP a finite group of permutations of a set S", "tokens": [1829, 3555, 4587, 7578, 29538, 8717, 19913, 2288, 10632, 8717, 9381, 5172, 15844, 19446, 7251, 20292, 3224, 38637, 13546, 2304, 718, 2423, 39184, 38, 47, 257, 19362, 1594, 295, 4784, 325, 763, 295, 257, 992, 318], "avg_logprob": -0.3826013416857333, "compression_ratio": 1.0350877192982457, "no_speech_prob": 0.0, "words": [{"start": 801.17, "end": 801.65, "word": "يبقى", "probability": 0.830810546875}, {"start": 801.65, "end": 801.93, "word": " هذه", "probability": 0.93017578125}, {"start": 801.93, "end": 802.39, "word": " نظرية", "probability": 0.8402099609375}, {"start": 802.39, "end": 803.23, "word": " نصف", "probability": 0.7820638020833334}, {"start": 803.23, "end": 803.39, "word": " على", "probability": 0.7451171875}, {"start": 803.39, "end": 803.73, "word": " ما", "probability": 0.8134765625}, {"start": 803.73, "end": 804.49, "word": " يليه", "probability": 0.9666341145833334}, {"start": 804.49, "end": 805.19, "word": " ثيرم", "probability": 0.56573486328125}, {"start": 805.19, "end": 811.83, "word": " let", "probability": 0.325927734375}, {"start": 811.83, "end": 816.63, "word": " الـGP", "probability": 0.44378662109375}, {"start": 816.63, "end": 817.29, "word": " a", "probability": 0.59521484375}, {"start": 817.29, "end": 818.79, "word": " finite", "probability": 0.97998046875}, {"start": 818.79, "end": 819.75, "word": " group", "probability": 0.97998046875}, {"start": 819.75, "end": 824.65, "word": " of", "probability": 0.77734375}, {"start": 824.65, "end": 825.87, "word": " permutations", "probability": 0.9012044270833334}, {"start": 825.87, "end": 826.21, "word": " of", "probability": 0.9609375}, {"start": 826.21, "end": 826.55, "word": " a", "probability": 0.14306640625}, {"start": 826.55, "end": 826.87, "word": " set", "probability": 0.806640625}, {"start": 826.87, "end": 827.35, "word": " S", "probability": 0.8974609375}], "temperature": 1.0}, {"id": 35, "seek": 85746, "start": 827.78, "end": 857.46, "text": "of permutations of a set capital S then for then for any I اللي موجودة في capital S", "tokens": [2670, 4784, 325, 763, 295, 257, 992, 4238, 318, 550, 337, 550, 337, 604, 286, 13672, 1829, 3714, 29245, 23328, 3660, 8978, 4238, 318], "avg_logprob": -0.18171874523162843, "compression_ratio": 1.1176470588235294, "no_speech_prob": 0.0, "words": [{"start": 827.78, "end": 828.34, "word": "of", "probability": 0.78173828125}, {"start": 828.34, "end": 832.2, "word": " permutations", "probability": 0.8662109375}, {"start": 832.2, "end": 834.14, "word": " of", "probability": 0.97021484375}, {"start": 834.14, "end": 835.74, "word": " a", "probability": 0.9521484375}, {"start": 835.74, "end": 836.42, "word": " set", "probability": 0.96728515625}, {"start": 836.42, "end": 839.68, "word": " capital", "probability": 0.61083984375}, {"start": 839.68, "end": 840.22, "word": " S", "probability": 0.90673828125}, {"start": 840.22, "end": 843.48, "word": " then", "probability": 0.495849609375}, {"start": 843.48, "end": 848.1, "word": " for", "probability": 0.9404296875}, {"start": 848.1, "end": 850.16, "word": " then", "probability": 0.2939453125}, {"start": 850.16, "end": 850.96, "word": " for", "probability": 0.97705078125}, {"start": 850.96, "end": 852.5, "word": " any", "probability": 0.92431640625}, {"start": 852.5, "end": 854.56, "word": " I", "probability": 0.7060546875}, {"start": 854.56, "end": 855.4, "word": " اللي", "probability": 0.810791015625}, {"start": 855.4, "end": 856.06, "word": " موجودة", "probability": 0.985595703125}, {"start": 856.06, "end": 856.28, "word": " في", "probability": 0.94482421875}, {"start": 856.28, "end": 856.88, "word": " capital", "probability": 0.8359375}, {"start": 856.88, "end": 857.46, "word": " S", "probability": 0.986328125}], "temperature": 1.0}, {"id": 36, "seek": 86950, "start": 858.36, "end": 869.5, "text": "الشكل اللي عندنا هنا هو عدد العناصر في ال orbit على بورت I على G", "tokens": [6027, 8592, 28820, 13672, 1829, 43242, 8315, 34105, 31439, 6225, 3215, 3215, 18863, 1863, 33546, 2288, 8978, 2423, 13991, 15844, 4724, 13063, 2655, 286, 15844, 460], "avg_logprob": -0.745949078489233, "compression_ratio": 1.202247191011236, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 858.36, "end": 859.38, "word": "الشكل", "probability": 0.4180094401041667}, {"start": 859.38, "end": 860.0, "word": " اللي", "probability": 0.531005859375}, {"start": 860.0, "end": 860.0, "word": " عندنا", "probability": 0.769775390625}, {"start": 860.0, "end": 860.0, "word": " هنا", "probability": 0.51904296875}, {"start": 860.0, "end": 860.64, "word": " هو", "probability": 0.31396484375}, {"start": 860.64, "end": 864.4, "word": " عدد", "probability": 0.702880859375}, {"start": 864.4, "end": 865.34, "word": " العناصر", "probability": 0.8140869140625}, {"start": 865.34, "end": 865.54, "word": " في", "probability": 0.337158203125}, {"start": 865.54, "end": 865.82, "word": " ال", "probability": 0.5576171875}, {"start": 865.82, "end": 866.24, "word": " orbit", "probability": 0.1282958984375}, {"start": 866.24, "end": 867.02, "word": " على", "probability": 0.6357421875}, {"start": 867.02, "end": 868.12, "word": " بورت", "probability": 0.6187947591145834}, {"start": 868.12, "end": 868.62, "word": " I", "probability": 0.33447265625}, {"start": 868.62, "end": 869.0, "word": " على", "probability": 0.6015625}, {"start": 869.0, "end": 869.5, "word": " G", "probability": 0.80859375}], "temperature": 1.0}, {"id": 37, "seek": 91766, "start": 893.7, "end": 917.66, "text": "عظم ان هذا النحيا خلاص يبقى مرة تانية بقول", "tokens": [3615, 19913, 2304, 16472, 23758, 28239, 5016, 25528, 16490, 1211, 33546, 7251, 3555, 4587, 7578, 3714, 25720, 6055, 7649, 10632, 4724, 39648], "avg_logprob": -0.3091032582780589, "compression_ratio": 1.1014492753623188, "no_speech_prob": 0.0, "words": [{"start": 893.7, "end": 894.06, "word": "عظم", "probability": 0.5993245442708334}, {"start": 894.06, "end": 894.14, "word": " ان", "probability": 0.286376953125}, {"start": 894.14, "end": 894.3, "word": " هذا", "probability": 0.307373046875}, {"start": 894.3, "end": 894.6, "word": " النحيا", "probability": 0.6253255208333334}, {"start": 894.6, "end": 895.16, "word": " خلاص", "probability": 0.9905598958333334}, {"start": 895.16, "end": 916.56, "word": " يبقى", "probability": 0.8604736328125}, {"start": 916.56, "end": 916.84, "word": " مرة", "probability": 0.97705078125}, {"start": 916.84, "end": 917.18, "word": " تانية", "probability": 0.9495442708333334}, {"start": 917.18, "end": 917.66, "word": " بقول", "probability": 0.875244140625}], "temperature": 1.0}, {"id": 38, "seek": 94310, "start": 924.28, "end": 943.1, "text": "عندنا g finite group of permutations يعني لازلنا في موضوع ال group of permutations وهذه ال permutations على ست S أخدت أي element I موجود في S من خلال هذا الكلام اثبت ان ال order لل G هو عبارة عن", "tokens": [3615, 41260, 8315, 290, 19362, 1594, 295, 4784, 325, 763, 37495, 22653, 5296, 31377, 1211, 8315, 8978, 3714, 2407, 11242, 45367, 2423, 1594, 295, 4784, 325, 763, 37037, 24192, 2423, 4784, 325, 763, 15844, 8608, 2655, 318, 5551, 9778, 3215, 2655, 36632, 4478, 286, 3714, 29245, 23328, 8978, 318, 9154, 16490, 1211, 6027, 23758, 2423, 28820, 10943, 1975, 12984, 3555, 2655, 16472, 2423, 1668, 24976, 460, 31439, 6225, 3555, 9640, 3660, 18871], "avg_logprob": -0.2763270515285126, "compression_ratio": 1.5, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 924.28, "end": 924.84, "word": "عندنا", "probability": 0.5059000651041666}, {"start": 924.84, "end": 925.0, "word": " g", "probability": 0.18505859375}, {"start": 925.0, "end": 925.52, "word": " finite", "probability": 0.837890625}, {"start": 925.52, "end": 925.92, "word": " group", "probability": 0.5712890625}, {"start": 925.92, "end": 926.42, "word": " of", "probability": 0.9609375}, {"start": 926.42, "end": 927.74, "word": " permutations", "probability": 0.91064453125}, {"start": 927.74, "end": 928.06, "word": " يعني", "probability": 0.80615234375}, {"start": 928.06, "end": 928.7, "word": " لازلنا", "probability": 0.8909912109375}, {"start": 928.7, "end": 928.86, "word": " في", "probability": 0.9111328125}, {"start": 928.86, "end": 929.32, "word": " موضوع", "probability": 0.949462890625}, {"start": 929.32, "end": 929.46, "word": " ال", "probability": 0.334228515625}, {"start": 929.46, "end": 929.76, "word": " group", "probability": 0.70654296875}, {"start": 929.76, "end": 930.02, "word": " of", "probability": 0.9248046875}, {"start": 930.02, "end": 931.0, "word": " permutations", "probability": 0.94287109375}, {"start": 931.0, "end": 932.08, "word": " وهذه", "probability": 0.740478515625}, {"start": 932.08, "end": 932.18, "word": " ال", "probability": 0.7001953125}, {"start": 932.18, "end": 932.82, "word": " permutations", "probability": 0.8619791666666666}, {"start": 932.82, "end": 933.16, "word": " على", "probability": 0.85595703125}, {"start": 933.16, "end": 933.8, "word": " ست", "probability": 0.553466796875}, {"start": 933.8, "end": 934.14, "word": " S", "probability": 0.37548828125}, {"start": 934.14, "end": 935.18, "word": " أخدت", "probability": 0.7691650390625}, {"start": 935.18, "end": 935.38, "word": " أي", "probability": 0.84326171875}, {"start": 935.38, "end": 935.92, "word": " element", "probability": 0.89794921875}, {"start": 935.92, "end": 936.28, "word": " I", "probability": 0.66015625}, {"start": 936.28, "end": 936.76, "word": " موجود", "probability": 0.95263671875}, {"start": 936.76, "end": 936.96, "word": " في", "probability": 0.9013671875}, {"start": 936.96, "end": 937.36, "word": " S", "probability": 0.84619140625}, {"start": 937.36, "end": 937.94, "word": " من", "probability": 0.94482421875}, {"start": 937.94, "end": 938.36, "word": " خلال", "probability": 0.9959309895833334}, {"start": 938.36, "end": 938.56, "word": " هذا", "probability": 0.5}, {"start": 938.56, "end": 938.96, "word": " الكلام", "probability": 0.88623046875}, {"start": 938.96, "end": 939.62, "word": " اثبت", "probability": 0.6683349609375}, {"start": 939.62, "end": 939.8, "word": " ان", "probability": 0.7470703125}, {"start": 939.8, "end": 939.98, "word": " ال", "probability": 0.74755859375}, {"start": 939.98, "end": 940.5, "word": " order", "probability": 0.9521484375}, {"start": 940.5, "end": 940.98, "word": " لل", "probability": 0.6572265625}, {"start": 940.98, "end": 941.46, "word": " G", "probability": 0.458740234375}, {"start": 941.46, "end": 942.18, "word": " هو", "probability": 0.8974609375}, {"start": 942.18, "end": 942.78, "word": " عبارة", "probability": 0.9947509765625}, {"start": 942.78, "end": 943.1, "word": " عن", "probability": 0.994140625}], "temperature": 1.0}, {"id": 39, "seek": 96465, "start": 943.43, "end": 964.65, "text": "عدد العناصر في ال orbit لل I على G مضروب في ال order تبع من؟ تبع ال stabilizer قلت ال order لل stabilizer لإن ال stabilizer ال subgroup لكن هذه ماهياش subgroup طيب البرهان كان التالي احنا الآن اقوِن", "tokens": [22488, 3215, 18863, 1863, 33546, 2288, 8978, 2423, 13991, 24976, 286, 15844, 460, 3714, 11242, 32887, 3555, 8978, 2423, 1668, 6055, 3555, 3615, 9154, 22807, 6055, 3555, 3615, 2423, 11652, 6545, 12174, 1211, 2655, 2423, 1668, 24976, 11652, 6545, 5296, 28814, 1863, 2423, 11652, 6545, 2423, 1422, 17377, 44381, 29538, 19446, 3224, 1829, 33599, 1422, 17377, 23032, 1829, 3555, 2423, 26890, 3224, 7649, 25961, 16712, 6027, 1829, 1975, 5016, 8315, 6024, 48506, 1975, 4587, 2407, 11082, 1863], "avg_logprob": -0.2726362290290686, "compression_ratio": 1.6120218579234973, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 943.43, "end": 944.01, "word": "عدد", "probability": 0.72021484375}, {"start": 944.01, "end": 944.69, "word": " العناصر", "probability": 0.955322265625}, {"start": 944.69, "end": 944.81, "word": " في", "probability": 0.84765625}, {"start": 944.81, "end": 944.97, "word": " ال", "probability": 0.88525390625}, {"start": 944.97, "end": 945.29, "word": " orbit", "probability": 0.56787109375}, {"start": 945.29, "end": 945.77, "word": " لل", "probability": 0.67822265625}, {"start": 945.77, "end": 946.11, "word": " I", "probability": 0.75537109375}, {"start": 946.11, "end": 946.47, "word": " على", "probability": 0.69384765625}, {"start": 946.47, "end": 946.79, "word": " G", "probability": 0.68212890625}, {"start": 946.79, "end": 947.99, "word": " مضروب", "probability": 0.9456787109375}, {"start": 947.99, "end": 948.19, "word": " في", "probability": 0.923828125}, {"start": 948.19, "end": 948.35, "word": " ال", "probability": 0.5029296875}, {"start": 948.35, "end": 948.87, "word": " order", "probability": 0.9208984375}, {"start": 948.87, "end": 949.35, "word": " تبع", "probability": 0.8898111979166666}, {"start": 949.35, "end": 949.85, "word": " من؟", "probability": 0.36968994140625}, {"start": 949.85, "end": 950.31, "word": " تبع", "probability": 0.9469401041666666}, {"start": 950.31, "end": 950.47, "word": " ال", "probability": 0.93408203125}, {"start": 950.47, "end": 951.33, "word": " stabilizer", "probability": 0.935546875}, {"start": 951.33, "end": 952.11, "word": " قلت", "probability": 0.8235677083333334}, {"start": 952.11, "end": 952.29, "word": " ال", "probability": 0.5712890625}, {"start": 952.29, "end": 952.61, "word": " order", "probability": 0.953125}, {"start": 952.61, "end": 952.81, "word": " لل", "probability": 0.578125}, {"start": 952.81, "end": 953.55, "word": " stabilizer", "probability": 0.957763671875}, {"start": 953.55, "end": 953.83, "word": " لإن", "probability": 0.780517578125}, {"start": 953.83, "end": 953.97, "word": " ال", "probability": 0.7685546875}, {"start": 953.97, "end": 954.51, "word": " stabilizer", "probability": 0.95556640625}, {"start": 954.51, "end": 954.71, "word": " ال", "probability": 0.23779296875}, {"start": 954.71, "end": 955.31, "word": " subgroup", "probability": 0.7138671875}, {"start": 955.31, "end": 955.93, "word": " لكن", "probability": 0.83203125}, {"start": 955.93, "end": 956.23, "word": " هذه", "probability": 0.67529296875}, {"start": 956.23, "end": 957.03, "word": " ماهياش", "probability": 0.9371337890625}, {"start": 957.03, "end": 957.99, "word": " subgroup", "probability": 0.958984375}, {"start": 957.99, "end": 959.19, "word": " طيب", "probability": 0.89404296875}, {"start": 959.19, "end": 960.41, "word": " البرهان", "probability": 0.723388671875}, {"start": 960.41, "end": 960.63, "word": " كان", "probability": 0.6171875}, {"start": 960.63, "end": 961.33, "word": " التالي", "probability": 0.9013671875}, {"start": 961.33, "end": 962.15, "word": " احنا", "probability": 0.9300130208333334}, {"start": 962.15, "end": 962.69, "word": " الآن", "probability": 0.680419921875}, {"start": 962.69, "end": 964.65, "word": " اقوِن", "probability": 0.584033203125}], "temperature": 1.0}, {"id": 40, "seek": 98689, "start": 966.51, "end": 986.89, "text": "أحنا بنعرف إن ال stabilizer لل I على G is a subgroup من G هذا معناه إيش؟ معناته إن ال order لل stabilizer على G لل I يقسم ال order ل G", "tokens": [10721, 5016, 8315, 44945, 3615, 28480, 36145, 2423, 11652, 6545, 24976, 286, 15844, 460, 307, 257, 1422, 17377, 9154, 460, 23758, 20449, 8315, 3224, 11933, 1829, 8592, 22807, 20449, 8315, 47395, 36145, 2423, 1668, 24976, 11652, 6545, 15844, 460, 24976, 286, 7251, 4587, 38251, 2423, 1668, 5296, 460], "avg_logprob": -0.22401148445752203, "compression_ratio": 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"probability": 0.73046875}, {"start": 974.27, "end": 974.57, "word": " من", "probability": 0.986328125}, {"start": 974.57, "end": 974.81, "word": " G", "probability": 0.93701171875}, {"start": 974.81, "end": 976.55, "word": " هذا", "probability": 0.84912109375}, {"start": 976.55, "end": 977.15, "word": " معناه", "probability": 0.9378255208333334}, {"start": 977.15, "end": 978.03, "word": " إيش؟", "probability": 0.8397216796875}, {"start": 978.03, "end": 978.53, "word": " معناته", "probability": 0.9386393229166666}, {"start": 978.53, "end": 978.81, "word": " إن", "probability": 0.826171875}, {"start": 978.81, "end": 979.03, "word": " ال", "probability": 0.84326171875}, {"start": 979.03, "end": 979.59, "word": " order", "probability": 0.9482421875}, {"start": 979.59, "end": 979.97, "word": " لل", "probability": 0.86328125}, {"start": 979.97, "end": 981.29, "word": " stabilizer", "probability": 0.960205078125}, {"start": 981.29, "end": 981.77, "word": " على", "probability": 0.77197265625}, {"start": 981.77, "end": 982.33, "word": " G", "probability": 0.98193359375}, {"start": 982.33, "end": 982.91, "word": " لل", "probability": 0.94970703125}, {"start": 982.91, "end": 983.53, "word": " I", "probability": 0.97705078125}, {"start": 983.53, "end": 985.05, "word": " يقسم", "probability": 0.98095703125}, {"start": 985.05, "end": 985.63, "word": " ال", "probability": 0.9609375}, {"start": 985.63, "end": 986.39, "word": " order", "probability": 0.9638671875}, {"start": 986.39, "end": 986.67, "word": " ل", "probability": 0.72607421875}, {"start": 986.67, "end": 986.89, "word": " G", "probability": 0.8857421875}], "temperature": 1.0}, {"id": 41, "seek": 101060, "start": 988.94, "end": 1010.6, "text": "يعني معنى هذا الكلام ان ال order ل G مقسوم على ال order لل stabilizer على I لل G هذا كله بدي ساوي the number of lift cassettes", "tokens": [40228, 22653, 20449, 1863, 7578, 23758, 2423, 28820, 10943, 16472, 2423, 1668, 5296, 460, 3714, 4587, 3794, 20498, 15844, 2423, 1668, 24976, 11652, 6545, 15844, 286, 24976, 460, 23758, 28242, 3224, 4724, 16254, 8608, 995, 45865, 264, 1230, 295, 5533, 21943, 16049], "avg_logprob": -0.2676235589870187, "compression_ratio": 1.3383458646616542, "no_speech_prob": 0.0, "words": [{"start": 988.94, "end": 989.46, "word": "يعني", "probability": 0.910400390625}, {"start": 989.46, "end": 990.0, "word": " معنى", "probability": 0.8951822916666666}, {"start": 990.0, "end": 990.3, "word": " هذا", "probability": 0.9169921875}, {"start": 990.3, "end": 991.06, "word": " الكلام", "probability": 0.93408203125}, {"start": 991.06, "end": 991.54, "word": " ان", "probability": 0.44140625}, {"start": 991.54, "end": 991.86, "word": " ال", "probability": 0.73291015625}, {"start": 991.86, "end": 992.48, "word": " order", "probability": 0.91943359375}, {"start": 992.48, "end": 992.92, "word": " ل", "probability": 0.8125}, {"start": 992.92, "end": 993.38, "word": " G", "probability": 0.484130859375}, {"start": 993.38, "end": 994.84, "word": " مقسوم", "probability": 0.8458251953125}, {"start": 994.84, "end": 995.24, "word": " على", "probability": 0.802734375}, {"start": 995.24, "end": 995.5, "word": " ال", "probability": 0.64501953125}, {"start": 995.5, "end": 995.94, "word": " order", "probability": 0.9404296875}, {"start": 995.94, "end": 996.36, "word": " لل", "probability": 0.451904296875}, {"start": 996.36, "end": 997.7, "word": " stabilizer", "probability": 0.8642578125}, {"start": 997.7, "end": 998.24, "word": " على", "probability": 0.71630859375}, {"start": 998.24, "end": 998.8, "word": " I", "probability": 0.93603515625}, {"start": 998.8, "end": 999.8, "word": " لل", "probability": 0.72509765625}, {"start": 999.8, "end": 1000.42, "word": " G", "probability": 0.72900390625}, {"start": 1000.42, "end": 1001.18, "word": " هذا", "probability": 0.66943359375}, {"start": 1001.18, "end": 1002.18, "word": " كله", "probability": 0.984375}, {"start": 1002.18, "end": 1002.58, "word": " بدي", "probability": 0.4578857421875}, {"start": 1002.58, "end": 1003.26, "word": " ساوي", "probability": 0.8347981770833334}, {"start": 1003.26, "end": 1003.64, "word": " the", "probability": 0.420166015625}, {"start": 1003.64, "end": 1005.06, "word": " number", "probability": 0.97509765625}, {"start": 1005.06, "end": 1007.18, "word": " of", "probability": 0.9765625}, {"start": 1007.18, "end": 1008.8, "word": " lift", "probability": 0.640625}, {"start": 1008.8, "end": 1010.6, "word": " cassettes", "probability": 0.6689453125}], "temperature": 1.0}, {"id": 42, "seek": 102615, "start": 1012.01, "end": 1026.15, "text": "of the stabilizer ل I على G مرة تانية", "tokens": [2670, 264, 11652, 6545, 5296, 286, 15844, 460, 3714, 25720, 6055, 7649, 10632], "avg_logprob": -0.40094865432807375, "compression_ratio": 0.8166666666666667, "no_speech_prob": 0.0, "words": [{"start": 1012.01, "end": 1012.75, "word": "of", "probability": 0.5263671875}, {"start": 1012.75, "end": 1013.93, "word": " the", "probability": 0.23291015625}, {"start": 1013.93, "end": 1015.35, "word": " stabilizer", "probability": 0.9326171875}, {"start": 1015.35, "end": 1016.49, "word": " ل", "probability": 0.68310546875}, {"start": 1016.49, "end": 1017.81, "word": " I", "probability": 0.416748046875}, {"start": 1017.81, "end": 1018.31, "word": " على", "probability": 0.58544921875}, {"start": 1018.31, "end": 1018.75, "word": " G", "probability": 0.8408203125}, {"start": 1018.75, "end": 1025.75, "word": " مرة", "probability": 0.6170654296875}, {"start": 1025.75, "end": 1026.15, "word": " تانية", "probability": 0.98291015625}], "temperature": 1.0}, {"id": 43, "seek": 104675, "start": 1027.31, "end": 1046.75, "text": "أحنا عارفين أن ال stabilizer هو subgroup من G وقلنا لك هذا السؤال 31 من شهدر خمسة و قبل ذلك أثبتناه إذا ال stabilizer هو subgroup من G حسب نظرية Lagrange ال order لل stabilizer بده يقسم من ال order لل G", "tokens": [10721, 5016, 8315, 6225, 9640, 5172, 9957, 14739, 2423, 11652, 6545, 31439, 1422, 17377, 9154, 460, 4032, 4587, 1211, 8315, 5296, 4117, 23758, 21136, 33604, 6027, 10353, 9154, 13412, 3224, 3215, 2288, 16490, 2304, 3794, 3660, 4032, 12174, 36150, 29910, 23275, 5551, 12984, 3555, 2655, 8315, 3224, 11933, 15730, 2423, 11652, 6545, 31439, 1422, 17377, 9154, 460, 11331, 35457, 8717, 19913, 2288, 10632, 24886, 14521, 2423, 1668, 24976, 11652, 6545, 47525, 3224, 7251, 4587, 38251, 9154, 2423, 1668, 24976, 460], "avg_logprob": -0.26427469135802467, "compression_ratio": 1.5891891891891892, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 1027.31, "end": 1027.51, "word": "أحنا", "probability": 0.645751953125}, {"start": 1027.51, "end": 1028.15, "word": " عارفين", "probability": 0.974853515625}, {"start": 1028.15, "end": 1028.49, "word": " أن", "probability": 0.5078125}, {"start": 1028.49, "end": 1028.61, "word": " ال", "probability": 0.8603515625}, {"start": 1028.61, "end": 1029.23, "word": " stabilizer", "probability": 0.8359375}, {"start": 1029.23, "end": 1029.51, "word": " هو", "probability": 0.98779296875}, {"start": 1029.51, "end": 1030.67, "word": " subgroup", "probability": 0.51806640625}, {"start": 1030.67, "end": 1031.21, "word": " من", "probability": 0.98193359375}, {"start": 1031.21, "end": 1031.49, "word": " G", "probability": 0.62744140625}, {"start": 1031.49, "end": 1032.39, "word": " وقلنا", "probability": 0.66796875}, {"start": 1032.39, "end": 1032.65, "word": " لك", "probability": 0.847412109375}, {"start": 1032.65, "end": 1032.81, "word": " هذا", "probability": 0.732421875}, {"start": 1032.81, "end": 1033.17, "word": " السؤال", "probability": 0.8489583333333334}, {"start": 1033.17, "end": 1033.61, "word": " 31", "probability": 0.47216796875}, {"start": 1033.61, "end": 1034.05, "word": " من", "probability": 0.9423828125}, {"start": 1034.05, "end": 1034.39, "word": " شهدر", "probability": 0.61065673828125}, {"start": 1034.39, "end": 1034.81, "word": " خمسة", "probability": 0.82928466796875}, {"start": 1034.81, "end": 1034.89, "word": " و", "probability": 0.89990234375}, {"start": 1034.89, "end": 1035.93, "word": " قبل", "probability": 0.6488037109375}, {"start": 1035.93, "end": 1036.37, "word": " ذلك", "probability": 0.965576171875}, {"start": 1036.37, "end": 1036.37, "word": " أثبتناه", "probability": 0.917236328125}, {"start": 1036.37, "end": 1037.03, "word": " إذا", "probability": 0.54962158203125}, {"start": 1037.03, "end": 1037.17, "word": " ال", "probability": 0.91748046875}, {"start": 1037.17, "end": 1037.81, "word": " stabilizer", "probability": 0.958740234375}, {"start": 1037.81, "end": 1038.05, "word": " هو", "probability": 0.99169921875}, {"start": 1038.05, "end": 1038.87, "word": " subgroup", "probability": 0.930419921875}, {"start": 1038.87, "end": 1039.23, "word": " من", "probability": 0.9921875}, {"start": 1039.23, "end": 1039.43, "word": " G", "probability": 0.93115234375}, {"start": 1039.43, "end": 1039.99, "word": " حسب", "probability": 0.89990234375}, {"start": 1039.99, "end": 1040.75, "word": " نظرية", "probability": 0.9652099609375}, {"start": 1040.75, "end": 1041.61, "word": " Lagrange", "probability": 0.8271484375}, {"start": 1041.61, "end": 1042.39, "word": " ال", "probability": 0.76318359375}, {"start": 1042.39, "end": 1042.77, "word": " order", "probability": 0.900390625}, {"start": 1042.77, "end": 1042.99, "word": " لل", "probability": 0.78173828125}, {"start": 1042.99, "end": 1043.81, "word": " stabilizer", "probability": 0.959716796875}, {"start": 1043.81, "end": 1044.23, "word": " بده", "probability": 0.422119140625}, {"start": 1044.23, "end": 1044.73, "word": " يقسم", "probability": 0.9860026041666666}, {"start": 1044.73, "end": 1045.17, "word": " من", "probability": 0.94873046875}, {"start": 1045.17, "end": 1045.75, "word": " ال", "probability": 0.94140625}, {"start": 1045.75, "end": 1046.17, "word": " order", "probability": 0.94873046875}, {"start": 1046.17, "end": 1046.53, "word": " لل", "probability": 0.77978515625}, {"start": 1046.53, "end": 1046.75, "word": " G", "probability": 0.88525390625}], "temperature": 1.0}, {"id": 44, "seek": 107917, "start": 1050.47, "end": 1079.17, "text": "يبقى ال order ل ال stabilizer بده يقسم ال order ل ال g لما ال order ل ال h بده يقسم ال order ل ال g يبقى لو قسمت ال order ل ال g على ال order ل ال h بيعطيني main ال left distinct اللي هو cosets of h and g يبقى هذا بدي يعطيني the number of left distinct", "tokens": [1829, 3555, 4587, 7578, 2423, 1668, 5296, 2423, 11652, 6545, 47525, 3224, 7251, 4587, 38251, 2423, 1668, 5296, 2423, 290, 5296, 15042, 2423, 1668, 5296, 2423, 276, 47525, 3224, 7251, 4587, 38251, 2423, 1668, 5296, 2423, 290, 7251, 3555, 4587, 7578, 45164, 12174, 38251, 2655, 2423, 1668, 5296, 2423, 290, 15844, 2423, 1668, 5296, 2423, 276, 4724, 40228, 9566, 1829, 22653, 2135, 2423, 1411, 10644, 13672, 1829, 31439, 3792, 1385, 295, 276, 293, 290, 7251, 3555, 4587, 7578, 23758, 4724, 16254, 37495, 9566, 1829, 22653, 264, 1230, 295, 1411, 10644], "avg_logprob": -0.268372254712241, "compression_ratio": 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"end": 1485.54, "word": " ساوي", "probability": 0.51556396484375}, {"start": 1485.54, "end": 1485.98, "word": " I", "probability": 0.744140625}], "temperature": 1.0}, {"id": 63, "seek": 151414, "start": 1487.82, "end": 1514.14, "text": "طيب مادام Alpha يعني بدي أثر على الطرفين بAlpha يبقى هذا إيش بيعطينا؟ بيعطينا إنه Beta تأثيرها على I يسوى Alpha تأثيرها على I تمام؟ طيب إيش رأيك بدي أضرب ال stabilizer في الطرفين من جهات اليمين؟ يعني هذا بيعطيك مين؟", "tokens": [9566, 1829, 3555, 3714, 18513, 10943, 20588, 37495, 22653, 4724, 16254, 5551, 49115, 15844, 41950, 28480, 9957, 4724, 9171, 7211, 7251, 3555, 4587, 7578, 23758, 11933, 1829, 8592, 4724, 40228, 9566, 1829, 8315, 22807, 4724, 40228, 9566, 1829, 8315, 36145, 3224, 33286, 6055, 10721, 12984, 13546, 11296, 15844, 286, 7251, 3794, 2407, 7578, 20588, 6055, 10721, 12984, 13546, 11296, 15844, 286, 46811, 10943, 22807, 23032, 1829, 3555, 11933, 1829, 8592, 12602, 10721, 1829, 4117, 4724, 16254, 5551, 11242, 25513, 2423, 11652, 6545, 8978, 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"probability": 0.94970703125}, {"start": 1500.2, "end": 1501.18, "word": " تأثيرها", "probability": 0.99521484375}, {"start": 1501.18, "end": 1501.52, "word": " على", "probability": 0.94775390625}, {"start": 1501.52, "end": 1501.86, "word": " I", "probability": 0.9755859375}, {"start": 1501.86, "end": 1504.96, "word": " تمام؟", "probability": 0.6499837239583334}, {"start": 1504.96, "end": 1505.66, "word": " طيب", "probability": 0.9620768229166666}, {"start": 1505.66, "end": 1505.86, "word": " إيش", "probability": 0.9454752604166666}, {"start": 1505.86, "end": 1506.18, "word": " رأيك", "probability": 0.8995361328125}, {"start": 1506.18, "end": 1506.44, "word": " بدي", "probability": 0.7122802734375}, {"start": 1506.44, "end": 1507.0, "word": " أضرب", "probability": 0.9549153645833334}, {"start": 1507.0, "end": 1507.64, "word": " ال", "probability": 0.88818359375}, {"start": 1507.64, "end": 1508.48, "word": " stabilizer", "probability": 0.84765625}, {"start": 1508.48, "end": 1508.72, 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"probability": 0.8701171875}, {"start": 1524.41, "end": 1525.29, "word": " بديه", "probability": 0.4214680989583333}, {"start": 1525.29, "end": 1525.71, "word": " يسوي", "probability": 0.6766764322916666}, {"start": 1525.71, "end": 1526.43, "word": " Alpha", "probability": 0.383544921875}, {"start": 1526.43, "end": 1527.13, "word": " في", "probability": 0.89404296875}, {"start": 1527.13, "end": 1527.35, "word": " ال", "probability": 0.81494140625}, {"start": 1527.35, "end": 1528.71, "word": " stabilizer", "probability": 0.946533203125}, {"start": 1528.71, "end": 1529.43, "word": " ل", "probability": 0.76953125}, {"start": 1529.43, "end": 1530.03, "word": " I", "probability": 0.78955078125}, {"start": 1530.03, "end": 1531.09, "word": " على", "probability": 0.8857421875}, {"start": 1531.09, "end": 1531.83, "word": " G", "probability": 0.99365234375}], "temperature": 1.0}, {"id": 65, "seek": 154660, "start": 1533.78, "end": 1546.6, "text": "مصبوط هكذا؟ طيب أنا جايل أخدت عنصرين متساوين لجيت .. احنا استنى .. استنى .. استنى شوية، لا لا لا استناشي لسا وانا", "tokens": [2304, 9381, 3555, 2407, 9566, 8032, 4117, 15730, 22807, 23032, 1829, 3555, 41850, 10874, 995, 26895, 5551, 9778, 3215, 2655, 18871, 9381, 2288, 9957, 44650, 3794, 995, 2407, 9957, 5296, 7435, 36081, 4386, 1975, 5016, 8315, 44713, 1863, 7578, 4386, 44713, 1863, 7578, 4386, 44713, 1863, 7578, 13412, 2407, 10632, 12399, 20193, 20193, 20193, 44713, 1863, 33599, 1829, 5296, 3794, 995, 4032, 7649, 995], "avg_logprob": -0.26346153846153847, "compression_ratio": 1.5714285714285714, "no_speech_prob": 0.0, "words": [{"start": 1533.7800000000002, "end": 1534.6200000000001, "word": "مصبوط", "probability": 0.85615234375}, {"start": 1534.6200000000001, "end": 1535.46, "word": " هكذا؟", "probability": 0.7457275390625}, {"start": 1535.46, "end": 1535.96, "word": " طيب", "probability": 0.9313151041666666}, {"start": 1535.96, "end": 1536.36, "word": " أنا", "probability": 0.52197265625}, {"start": 1536.36, "end": 1536.82, 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"end": 1544.2, "word": " شوية،", "probability": 0.8026123046875}, {"start": 1544.2, "end": 1544.3, "word": " لا", "probability": 0.85595703125}, {"start": 1544.3, "end": 1544.48, "word": " لا", "probability": 0.72607421875}, {"start": 1544.48, "end": 1544.7, "word": " لا", "probability": 0.9306640625}, {"start": 1544.7, "end": 1546.04, "word": " استناشي", "probability": 0.8426513671875}, {"start": 1546.04, "end": 1546.3, "word": " لسا", "probability": 0.7271321614583334}, {"start": 1546.3, "end": 1546.6, "word": " وانا", "probability": 0.560791015625}], "temperature": 1.0}, {"id": 66, "seek": 157831, "start": 1548.89, "end": 1578.31, "text": "أحنا أثبتنا إن الـ Beta I بدها تساوي Alpha I وهو المطلوب انتهينا من الشغل يعني يبقى T is well defined بداجي الآن T is one to one يبقى بدي أعمل العملية العكسية بدي أخد صورتين متساويتين و أثبت أن أصلهم متساوي يبقى بداجي أقول Assume", "tokens": [10721, 5016, 8315, 5551, 12984, 3555, 2655, 8315, 36145, 2423, 39184, 33286, 286, 47525, 11296, 6055, 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"word": " one", "probability": 0.95263671875}, {"start": 1566.31, "end": 1567.29, "word": " يبقى", "probability": 0.91650390625}, {"start": 1567.29, "end": 1567.55, "word": " بدي", "probability": 0.581787109375}, {"start": 1567.55, "end": 1567.83, "word": " أعمل", "probability": 0.9339192708333334}, {"start": 1567.83, "end": 1568.27, "word": " العملية", "probability": 0.9581705729166666}, {"start": 1568.27, "end": 1568.89, "word": " العكسية", "probability": 0.9951171875}, {"start": 1568.89, "end": 1569.19, "word": " بدي", "probability": 0.7342529296875}, {"start": 1569.19, "end": 1569.55, "word": " أخد", "probability": 0.8473307291666666}, {"start": 1569.55, "end": 1570.19, "word": " صورتين", "probability": 0.931396484375}, {"start": 1570.19, "end": 1571.51, "word": " متساويتين", "probability": 0.9481608072916666}, {"start": 1571.51, "end": 1572.03, "word": " و", "probability": 0.55224609375}, {"start": 1572.03, "end": 1572.51, "word": " أثبت", "probability": 0.968994140625}, {"start": 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1928.55, "word": " شغل", "probability": 0.8878580729166666}], "temperature": 1.0}, {"id": 81, "seek": 194212, "start": 1928.94, "end": 1942.12, "text": "الموضوع اللى بدنا نشيها اللى هو دوران المكعب وما إلى ذلك امسح هناك فيها لحد هنا stop يوم الأثنين بنناقش بعض المسائد على هذا ال section ان شاء الله تبارك وتعالى", "tokens": [45340, 2407, 11242, 45367, 13672, 7578, 47525, 8315, 8717, 8592, 1829, 11296, 13672, 7578, 31439, 11778, 13063, 7649, 9673, 4117, 3615, 3555, 4032, 15042, 30731, 29910, 23275, 1975, 2304, 3794, 5016, 34105, 4117, 8978, 11296, 5296, 24401, 34105, 1590, 7251, 20498, 16247, 12984, 1863, 9957, 44945, 8315, 4587, 8592, 45030, 11242, 9673, 3794, 16373, 3215, 15844, 23758, 2423, 3541, 16472, 13412, 16606, 21984, 6055, 3555, 9640, 4117, 34683, 3615, 6027, 7578], "avg_logprob": -0.2317708329194122, "compression_ratio": 1.5919540229885059, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1928.94, "end": 1929.34, "word": "الموضوع", "probability": 0.588714599609375}, {"start": 1929.34, "end": 1929.44, "word": " اللى", "probability": 0.71826171875}, {"start": 1929.44, "end": 1929.68, "word": " بدنا", "probability": 0.86474609375}, {"start": 1929.68, "end": 1930.18, "word": " نشيها", "probability": 0.6292724609375}, {"start": 1930.18, "end": 1930.46, "word": " اللى", "probability": 0.728759765625}, {"start": 1930.46, "end": 1930.74, "word": " هو", "probability": 0.88720703125}, {"start": 1930.74, "end": 1931.32, "word": " دوران", "probability": 0.8831380208333334}, {"start": 1931.32, "end": 1931.94, "word": " المكعب", "probability": 0.9779052734375}, {"start": 1931.94, "end": 1932.14, "word": " وما", "probability": 0.87744140625}, {"start": 1932.14, "end": 1932.32, "word": " إلى", "probability": 0.8046875}, {"start": 1932.32, "end": 1932.74, "word": " ذلك", "probability": 0.993408203125}, {"start": 1932.74, "end": 1933.56, "word": " امسح", "probability": 0.692138671875}, {"start": 1933.56, "end": 1933.88, "word": " هناك", "probability": 0.696044921875}, {"start": 1933.88, "end": 1934.08, "word": " فيها", "probability": 0.814208984375}, {"start": 1934.08, "end": 1934.4, "word": " لحد", "probability": 0.78076171875}, {"start": 1934.4, "end": 1934.64, "word": " هنا", "probability": 0.97802734375}, {"start": 1934.64, "end": 1935.06, "word": " stop", "probability": 0.6416015625}, {"start": 1935.06, "end": 1935.8, "word": " يوم", "probability": 0.937744140625}, {"start": 1935.8, "end": 1936.3, "word": " الأثنين", "probability": 0.8807373046875}, {"start": 1936.3, "end": 1936.86, "word": " بنناقش", "probability": 0.9639892578125}, {"start": 1936.86, "end": 1937.16, "word": " بعض", "probability": 0.968505859375}, {"start": 1937.16, "end": 1938.04, "word": " المسائد", "probability": 0.8807373046875}, {"start": 1938.04, "end": 1938.52, "word": " على", "probability": 0.85791015625}, {"start": 1938.52, "end": 1939.22, "word": " هذا", "probability": 0.830078125}, {"start": 1939.22, "end": 1939.7, "word": " ال", "probability": 0.77099609375}, {"start": 1939.7, "end": 1940.12, "word": " section", "probability": 0.88232421875}, {"start": 1940.12, "end": 1940.56, "word": " ان", "probability": 0.78125}, {"start": 1940.56, "end": 1940.88, "word": " شاء", "probability": 0.97900390625}, {"start": 1940.88, "end": 1941.16, "word": " الله", "probability": 0.94580078125}, {"start": 1941.16, "end": 1941.66, "word": " تبارك", "probability": 0.9405517578125}, {"start": 1941.66, "end": 1942.12, "word": " وتعالى", "probability": 0.82940673828125}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 1943.09225, "duration_after_vad": 1826.1881249999954}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/xcu62wzN56k_raw.srt b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/xcu62wzN56k_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..bca31070ba831c9dbaf610726981a3f8030c99cd
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/xcu62wzN56k_raw.srt
@@ -0,0 +1,1836 @@
+1
+00:00:21,700 --> 00:00:26,740
+بسم الله الرحمن الرحيم عودة على بدء المرة الماضية
+
+2
+00:00:27,120 --> 00:00:31,700
+عطينا تعريف للـ isomorphism وعطينا بعض الأمثلة على
+
+3
+00:00:31,700 --> 00:00:37,640
+ال isomorphism ثم برهننا نظرية وهي أي group
+
+4
+00:00:37,640 --> 00:00:41,680
+isomorphic إلى ال group of permutations وعطينا
+
+5
+00:00:41,680 --> 00:00:46,920
+علامة ذلك مثلا واحدة المرة الماضية ووصلنا إلى خواص
+
+6
+00:00:46,920 --> 00:00:51,280
+ال isomorphism يبقى أنا كاتب عنوان properties of
+
+7
+00:00:51,280 --> 00:00:57,970
+isomorphism بخواص التشكل النمطيهنقسم هذه الخواص
+
+8
+00:00:57,970 --> 00:01:03,350
+إلى جزءين الجزء الأول الخواص حين يعمل ال
+
+9
+00:01:03,350 --> 00:01:08,970
+isomorphism على عناصر ال group والخاصية التانية
+
+10
+00:01:08,970 --> 00:01:13,170
+حينما يعمل isomorphism على الشكل العام لل group
+
+11
+00:01:13,170 --> 00:01:17,630
+وبالتالي هيكون عندنا نظريتين هذه النظرية الأولى
+
+12
+00:01:17,630 --> 00:01:22,890
+مكونة من سبع نقاط والنظرية الثانية مكونة من أربع
+
+13
+00:01:22,890 --> 00:01:28,320
+نقاط ان شاء الله تعالىنبدأ بالنظرية الأولى وهي الـ
+
+14
+00:01:28,320 --> 00:01:33,160
+properties of isomorphism acting on elements يبقى
+
+15
+00:01:33,160 --> 00:01:39,600
+خواص ال isomorphism إن كان يعمل عالميا على العناصر
+
+16
+00:01:39,600 --> 00:01:43,990
+اللي موجودة في ال groupبقول يفترض أن الـ Phi عبارة
+
+17
+00:01:43,990 --> 00:01:48,250
+عن isomorphism من الآن فالساعدة هختصر كلمة
+
+18
+00:01:48,250 --> 00:01:53,770
+isomorphism إلى ISO اللي هي أول تلت حروف من كلمة
+
+19
+00:01:53,770 --> 00:01:59,290
+isomorphism يبقى Phi isomorphism من ال group G on
+
+20
+00:01:59,290 --> 00:02:04,970
+to G bar يبقى one to one و on to و يختم خاصية اللي
+
+21
+00:02:04,970 --> 00:02:08,310
+هو ال isomorphism بالإضافة إلى أن ال Phi عبارة عن
+
+22
+00:02:08,310 --> 00:02:15,150
+functionيبقى then phi of EG يساوي ال EG bar يعني
+
+23
+00:02:15,150 --> 00:02:19,610
+فيه لما تأثر على ال identity element تبع ال group
+
+24
+00:02:19,610 --> 00:02:25,450
+G هتخلي صورته مين ال identity تبع ال group G bar
+
+25
+00:02:25,450 --> 00:02:29,070
+يعني صورة ال identity في ال group الأولى هو ال
+
+26
+00:02:29,070 --> 00:02:34,910
+identity تبع ال group الثانيالنقطة الثانية لو أخدت
+
+27
+00:02:34,910 --> 00:02:40,570
+أي عدد صحيح موجب أو سالب أو صفر موجود في z و أخدت
+
+28
+00:02:40,570 --> 00:02:45,510
+أي element a موجود في g ففاي لم تثر على a to the
+
+29
+00:02:45,510 --> 00:02:51,340
+power n بدي يسوي فاي of a كله to the power nلاحظوا
+
+30
+00:02:51,340 --> 00:02:56,440
+ان ال a انها دي موجودة في g لإن a موجودة في g بس
+
+31
+00:02:56,440 --> 00:03:02,000
+ال fi of a موجودة في جي بار يبقى هذا element موجود
+
+32
+00:03:02,000 --> 00:03:07,620
+في جي بار النقطة الثالثة فرعان a و b موجودة في g
+
+33
+00:03:07,620 --> 00:03:13,660
+ال a بيبدوا يسووا بي اي بي اي فندلوا fi of a في fi
+
+34
+00:03:13,660 --> 00:03:19,950
+of b وسووا fi of b في fi of a بمعنى آخرلو كان هذا
+
+35
+00:03:19,950 --> 00:03:24,430
+الكلام لأي two elements لو كانت الـG أبيليان يبقى
+
+36
+00:03:24,430 --> 00:03:28,990
+الـG bar بتصير أبيليان كذلك هذا معنى ال two
+
+37
+00:03:28,990 --> 00:03:33,690
+elements لو بتطورهم على مجموع العناصر كلها النقطة
+
+38
+00:03:33,690 --> 00:03:38,440
+الرابعةالـ G بدا تساوي ال group generated by A
+
+39
+00:03:38,440 --> 00:03:44,000
+فاندو ألف الجي بار generated by Phi of A يعني يا
+
+40
+00:03:44,000 --> 00:03:48,280
+شباب ال generator في ال group الأولى الصورة بتبقى
+
+41
+00:03:48,280 --> 00:03:54,080
+generator لمين؟ لل group A الثانيةيبقى انا عندي A
+
+42
+00:03:54,080 --> 00:03:59,140
+هو generator لل group G صارت صوته Phi of A هي
+
+43
+00:03:59,140 --> 00:04:04,560
+generator لمين؟ لل group G bar النقطة الخامسة ال
+
+44
+00:04:04,560 --> 00:04:09,220
+order ل A بدو يساوي ال order لل Phi of A ال order
+
+45
+00:04:09,220 --> 00:04:13,820
+لل element A اللي موجود في ال group G يساوي ال
+
+46
+00:04:13,820 --> 00:04:18,340
+order للصورة تبع هذه ال element اللي موجود وين؟ في
+
+47
+00:04:18,340 --> 00:04:22,010
+ال group G barواذا بتذكروا المرة الماضية لما
+
+48
+00:04:22,010 --> 00:04:26,630
+تكلمنا عن معنى ال isomorphism قلنا الخواص جميعها
+
+49
+00:04:26,630 --> 00:04:30,150
+اللي موجودة على ال group الأولى هي نفس الخواص اللي
+
+50
+00:04:30,150 --> 00:04:34,350
+موجودة على ال group الثانية ومن هنا فال order لل a
+
+51
+00:04:34,350 --> 00:04:40,660
+هو ال order لل phi of a بالضبط تماماالنقطة السادسة
+
+52
+00:04:40,660 --> 00:04:45,240
+فوريا هي fixed integer k يعني لو أخدت عدد صحيح
+
+53
+00:04:45,240 --> 00:04:51,060
+سميته k و fixed element b in g وكانت عند المعادلة
+
+54
+00:04:51,060 --> 00:04:57,400
+xk تساوي b يبقى هذه المعادلة لها نفس العدد من
+
+55
+00:04:57,400 --> 00:05:01,860
+الحلول مثل حل المعادلة x to the power k بده يسوى
+
+56
+00:05:01,860 --> 00:05:07,940
+five of b in g bar الأولانية في g والتانية وين؟بـG
+
+57
+00:05:07,940 --> 00:05:12,420
+bar حلول المعادلة لو كان عشرة حلول إذا المعادلة
+
+58
+00:05:12,420 --> 00:05:17,480
+الثانية لها عشرة حلول بالضبط تماما النقطة السادسة
+
+59
+00:05:17,480 --> 00:05:21,920
+السابعة والاخيرة لو كانت الـG finite يبقى ال order
+
+60
+00:05:21,920 --> 00:05:25,880
+اللي G بده يسوي من؟ ال order اللي G bar طب لو
+
+61
+00:05:25,880 --> 00:05:31,620
+كانوا اتنين N finiteيبقى ال order للأولى يساوي ال
+
+62
+00:05:31,620 --> 00:05:36,680
+order للتانية يساوي in finite لكن المشكلة تبقى لو
+
+63
+00:05:36,680 --> 00:05:41,640
+كانوا finite هل العدد هنا هو نفس العدد هنا الإجابة
+
+64
+00:05:41,640 --> 00:05:47,410
+نعم لماذا هذا ما سنعرفه بعد قليليبقى بعد أن فهمنا
+
+65
+00:05:47,410 --> 00:05:52,070
+هذه النقاط السابعة نريد أن نبرهن على صحة هذه
+
+66
+00:05:52,070 --> 00:05:58,270
+النقاط ونبدأ بالنقطة الأولى بدي أثبت أن صورة ال
+
+67
+00:05:58,270 --> 00:06:02,430
+identity element اللي موجود في G هو ال identity
+
+68
+00:06:02,430 --> 00:06:07,860
+element اللي موجود وينمش يعني هيك، إيش رأيك في
+
+69
+00:06:07,860 --> 00:06:13,120
+هالشغلة؟ لو جيت أخدت ال identity تبع ال G و ضربته
+
+70
+00:06:13,120 --> 00:06:18,100
+في ال identity تبع ال G، شو بيعطيني هذا؟ ال
+
+71
+00:06:18,100 --> 00:06:23,720
+identity تبع ال G هو نفسهطب ايش رايك بدي اثر في
+
+72
+00:06:23,720 --> 00:06:30,160
+على الطرفين مدام انصرين متساويين هذا يعني ان في of
+
+73
+00:06:30,160 --> 00:06:35,080
+ال identity تبع ال G في ال identity تبع ال G بدي
+
+74
+00:06:35,080 --> 00:06:41,780
+ساوي ال في of ال identity تبع ال G الآن احنا جالين
+
+75
+00:06:41,780 --> 00:06:47,150
+في عبارة عن ايش؟Isomorphism إذا بقدر أدخل الـ Phi
+
+76
+00:06:47,150 --> 00:06:52,130
+على كل element من هذه ال elements يبقى هذا بده
+
+77
+00:06:52,130 --> 00:06:57,850
+يعطينا أن Phi of ال identity تبع ال G في Phi of ال
+
+78
+00:06:57,850 --> 00:07:03,730
+identity تبع ال G بده سوى Phi of ال identity تبع
+
+79
+00:07:03,730 --> 00:07:08,910
+ال G ليش؟ لأن Phi عبارة عن Isomorphism وبالتالي
+
+80
+00:07:08,910 --> 00:07:14,440
+دخلت ال Phi على كل element من ال two elementsطب في
+
+81
+00:07:14,440 --> 00:07:19,460
+او في عنصر موجود وين هذا في اي groupفى جى بار طب
+
+82
+00:07:19,460 --> 00:07:23,140
+جى بار ايش قلنا عليها group العنصر معناته ايه له
+
+83
+00:07:23,140 --> 00:07:27,700
+معكوس معناته هذا العنصر اللى هو معكوس فى جى بار
+
+84
+00:07:27,700 --> 00:07:32,920
+بيدروح اضرب الطرفين فى هذا المعكوس يبقى لو روحت
+
+85
+00:07:32,920 --> 00:07:36,820
+ضربت الطرفين فى هذا المعكوس بيصير في of ال
+
+86
+00:07:36,820 --> 00:07:42,860
+identity تبع الجى فى في of ال identity تبع الجى فى
+
+87
+00:07:42,860 --> 00:07:49,290
+في of ال identity تبع الجى بس الكل inverseبدي ساوي
+
+88
+00:07:49,290 --> 00:07:53,830
+الـ Phi of ال identity تبع ال G في Phi of ال
+
+89
+00:07:53,830 --> 00:08:01,190
+identity تبع ال G لكل inverse يبقى ضاربت المعادلة
+
+90
+00:08:01,190 --> 00:08:06,010
+اللي عندنا هذه من جهتي اليمين في ال element Phi of
+
+91
+00:08:06,010 --> 00:08:11,590
+G inverse طب ال element هذا في هذا مش هذا ال
+
+92
+00:08:11,590 --> 00:08:16,970
+element و معكوسه؟ قدش بيعطيني؟تبع مين؟ تبع الـ G
+
+93
+00:08:16,970 --> 00:08:25,110
+bar في الـ Phi of EG بيعطيني مين؟ لا بيعطيني Phi
+
+94
+00:08:25,110 --> 00:08:30,810
+of EG دغلي لإن Phi of EG element في G barويعني هذا
+
+95
+00:08:30,810 --> 00:08:35,590
+بدي يعطيني مين؟ بدي يعطيني الـPhi of ال identity
+
+96
+00:08:35,590 --> 00:08:40,550
+تبع الـG في ال identity element تبع الـG bar وهذا
+
+97
+00:08:40,550 --> 00:08:45,410
+بدي يعطيني ال identity element تبع مين؟ تبع الـG
+
+98
+00:08:45,410 --> 00:08:51,220
+barطب هذا element في G bar لأن صورة ال identity
+
+99
+00:08:51,220 --> 00:08:55,340
+element تبع ال G و هذا ال identity element تبع ال
+
+100
+00:08:55,340 --> 00:09:01,640
+G bar حصل ضربهما شو بيعطيني ال phi of EG نفسه لأن
+
+101
+00:09:01,640 --> 00:09:04,660
+ال identity element اضرب في أي عنصر في ال group
+
+102
+00:09:04,660 --> 00:09:10,650
+بيعطيني نفس العنصر إذا بناء عليه هذا بده يعطينيإن
+
+103
+00:09:10,650 --> 00:09:17,570
+الـ Phi of الـ EG بدرساوي الـ Identity Element تبع
+
+104
+00:09:17,570 --> 00:09:24,170
+الـ G bar أظن و هو المطلوب يبقى هاي أثبتنا له أن
+
+105
+00:09:24,170 --> 00:09:28,130
+صوت الـ Identity Element تبع الـ G هو الـ Identity
+
+106
+00:09:28,130 --> 00:09:34,110
+Element تبع الـ G bar طيب، كويس نيجي للنقطة
+
+107
+00:09:34,110 --> 00:09:39,930
+الثانيةالنقطة الثانية بيقول for any n belongs to z
+
+108
+00:09:39,930 --> 00:09:45,930
+وما قالليش positive integer قاللي n موجود في z إذا
+
+109
+00:09:45,930 --> 00:09:51,630
+احتمال n أن يكون zero واحتمال أن يكون عدد موجب
+
+110
+00:09:51,630 --> 00:09:56,910
+واحتمال أن يكون عدد سالم مش كل احتمالات واردة إذا
+
+111
+00:09:56,910 --> 00:10:02,230
+لازم أدرس كل هذه الاحتمالات على العلاقة اللي عندنا
+
+112
+00:10:02,230 --> 00:10:07,040
+هذهيبقى انا بدي اثبت صحيحة في حالة ان السالبة و ان
+
+113
+00:10:07,040 --> 00:10:12,380
+الموجبة و ان الصفرية كل احتمالات لازم ادرسها حتى
+
+114
+00:10:12,380 --> 00:10:18,640
+تبقى العلاقة عندى صحيحة على طول بعد ذلك الانباجي
+
+115
+00:10:18,640 --> 00:10:26,220
+بيقولوا لو كانت الان تساوي zero thenماذا يحصل هنا
+
+116
+00:10:26,220 --> 00:10:34,840
+يا عزيزي؟ فاي او ا زرع يسوى فاي او ا زرع كله زرع
+
+117
+00:10:34,840 --> 00:10:41,780
+هذا يريد ان يعطينا اذا ازرع عبارة عن مين؟ تبع الجي
+
+118
+00:10:41,780 --> 00:10:46,680
+يبقى هذا يريد ان يعطينا ال five entity element تبع
+
+119
+00:10:46,680 --> 00:10:48,500
+الجي وهذا يريد ان يعطينا مين؟
+
+120
+00:10:54,190 --> 00:10:58,150
+النقطة الأولى اللى عندنا هذا بالضبط تماما يبقى
+
+121
+00:10:58,150 --> 00:11:03,350
+معناته ال statement صحيحة في حالة n تساوي zero
+
+122
+00:11:03,350 --> 00:11:12,640
+يبقى هذا بده يعطينا in the statement hallيبقى
+
+123
+00:11:12,640 --> 00:11:17,600
+الجملة اللى عندنا هذه مالها صحيحة في حالة n تساوي
+
+124
+00:11:17,600 --> 00:11:22,640
+zero طب لو كانت ال n تساوي واحد then
+
+125
+00:11:32,890 --> 00:11:38,630
+يبقى الجملة الصحيحة في حالة الان تساوي واحد هذا
+
+126
+00:11:38,630 --> 00:11:43,130
+سيعطينا ان ال statement صحيح في حالة الان تساوي
+
+127
+00:11:43,130 --> 00:11:48,240
+واحدالان بدي استخدم ال induction بدي افترض انها
+
+128
+00:11:48,240 --> 00:11:53,780
+صحيحة في حالة n تساوي k الموجبة و اثبت انها صحيحة
+
+129
+00:11:53,780 --> 00:11:59,180
+في حالة n تساوي k زائد واحد يبقى بداجي اقول له
+
+130
+00:11:59,180 --> 00:12:08,240
+assume that ان five a to the power k بتساوي five
+
+131
+00:12:08,240 --> 00:12:16,200
+of a كله to the power kوالـ K هذي أكبر منين؟ من
+
+132
+00:12:16,200 --> 00:12:22,440
+الواحد، لأن الواحد استخدمناها، حُطها على طول طيب،
+
+133
+00:12:22,440 --> 00:12:30,160
+بدأ أروح أقول الـ M Phi of K plus one ويساوي يبقى
+
+134
+00:12:30,160 --> 00:12:38,120
+هذه بقدر تبع Phi of K في A أس واحد، لو جمعته، نجمع
+
+135
+00:12:38,120 --> 00:12:40,520
+الأسس جامعه، يبقى صحيحة
+
+136
+00:12:45,990 --> 00:12:57,130
+فاي عبارة عن isomorphism لإن فاي
+
+137
+00:12:57,130 --> 00:13:00,370
+عبارة عن isomorphism لإن فاي عبارة عن isomorphism
+
+138
+00:13:00,370 --> 00:13:05,750
+لإن فاي عبارة عن isomorphism لإن
+
+139
+00:13:05,750 --> 00:13:13,670
+فاي عبارة عن isomorphismيبقى بقدر اكتب هذه في of a
+
+140
+00:13:13,670 --> 00:13:20,590
+كله to the power كيف في of a من وين من الفرض اللي
+
+141
+00:13:20,590 --> 00:13:32,540
+فوق اللي عندنا هذايبقى هذا الكلام from above
+
+142
+00:13:32,540 --> 00:13:40,940
+assumption من الفرض اللي فرضنايبقى صارت العبارة
+
+143
+00:13:40,940 --> 00:13:47,180
+صحيحة فرض صحتها عند n تساوي k و أثبت صحتها عند n
+
+144
+00:13:47,180 --> 00:13:53,400
+تساوي k plus one إذا العبارة صحيحة لكل ال n اللي
+
+145
+00:13:53,400 --> 00:14:00,300
+أكبر من أو تساوي zero يبقى هنا so the statement
+
+146
+00:14:02,650 --> 00:14:10,110
+hold صحيحة for all ان اللي أكبر من أو تساوي zero
+
+147
+00:14:10,110 --> 00:14:15,410
+ايش ضايل عندى اقل من ال zero يبقى باجي بقوله بعد
+
+148
+00:14:15,410 --> 00:14:21,150
+ما أخدنا FN و هنا لو كانت N تساوي K يبقى بدياجي
+
+149
+00:14:21,150 --> 00:14:29,620
+ياخد لو كانت N أقل من ال zero thenالـ N تساوي
+
+150
+00:14:29,620 --> 00:14:38,100
+الناقص M والـ M أكبر من الـ Zeroيبقى انا فارض ان
+
+151
+00:14:38,100 --> 00:14:44,340
+ان تساوي ناقص M و M أكبر من ال zero مسبوقة بإشارة
+
+152
+00:14:44,340 --> 00:14:48,840
+سالب إذا هذه السالبة على طول يبقى مضمون كلامي صحيح
+
+153
+00:14:48,840 --> 00:14:55,240
+مية المية يبقى لو كانت ال M الآن موجبة أكبر من ال
+
+154
+00:14:55,240 --> 00:14:59,580
+zero ضربت في إشارة سالب مش بيصير اللي هي ان يبقى
+
+155
+00:14:59,580 --> 00:15:05,620
+مضمون هيك ان سالبة مائة في المائة تماميبقى بدك تحط
+
+156
+00:15:05,620 --> 00:15:10,940
+في دماغك ان M موجبة سوقت بإشارة سالبة وصارت ايه؟
+
+157
+00:15:10,940 --> 00:15:17,860
+سالبة يبقى هذا بده يعطيلك ان ال N زائد ال M قداش
+
+158
+00:15:17,860 --> 00:15:23,860
+بده ساوي زيرو نجلناها على شجة تانية ساوي زيرو طيب
+
+159
+00:15:23,860 --> 00:15:32,620
+الان لو جيت أخدت A N زائد ال M مش بده ساوي ال A أو
+
+160
+00:15:32,620 --> 00:15:43,420
+ال Zeroفح؟ تمام؟ طيب، أليس تهادي A N في A M بده
+
+161
+00:15:43,420 --> 00:15:50,840
+يساوي ال identity element تبع ال G؟ مظبوط؟ طيب،
+
+162
+00:15:50,840 --> 00:15:55,930
+إيش رأيك؟ بده يأثر على الطرفين بـ Fiلأن في ايزو
+
+163
+00:15:55,930 --> 00:16:04,630
+مورفزم هذا بدي يعطيك ان في of a n في a m بدي سوى
+
+164
+00:16:04,630 --> 00:16:11,010
+في of ال identity element تبع ال G الان في ايزو
+
+165
+00:16:11,010 --> 00:16:18,910
+مورفزم معناه هذا الكلام ان في of a n في في of a m
+
+166
+00:16:18,910 --> 00:16:25,890
+بدي سوى ال identity element تبع ال G بقىطب الام
+
+167
+00:16:25,890 --> 00:16:31,320
+موجبه الله سالمه بقىطب و احنا اثبتنا ان هذه
+
+168
+00:16:31,320 --> 00:16:37,040
+الصحيحة لـK الموجبة اذا بالنسبة لإن بقدر اكتب في
+
+169
+00:16:37,040 --> 00:16:46,560
+of A لكل أس M مظبوط يبقى هذا بده يعطيلك ان في of A
+
+170
+00:16:46,560 --> 00:16:54,860
+N في في of A كل أس M بده سوى ال identity element
+
+171
+00:16:54,860 --> 00:17:03,390
+تبع الـG barليش هذا؟ هذا الكلام from the .. حطها
+
+172
+00:17:03,390 --> 00:17:12,330
+ليه بين قوسين؟ above approved since ال M greater
+
+173
+00:17:12,330 --> 00:17:19,300
+than zeroيعني نظرا لإن ال M أكبر من ال zero جدرت
+
+174
+00:17:19,300 --> 00:17:25,520
+أرفع الأس من هنا على A و أحطه على Phi of A كله لكن
+
+175
+00:17:25,520 --> 00:17:31,380
+تبع ال N لسه مش جادر، كويس؟ إيش رأيك؟ بدي أضرب فيه
+
+176
+00:17:31,380 --> 00:17:43,060
+معكوس هذا العنصريبقى هذا يعطيك ان في ام في في ام
+
+177
+00:17:43,060 --> 00:17:51,320
+في في ام في في ام في ام في ام في ام في ام في ام في
+
+178
+00:17:51,320 --> 00:17:51,520
+ام في ام في ام في ام في ام في ام في ام في ام في ام
+
+179
+00:17:51,520 --> 00:17:52,300
+في ام في ام في ام في ام في ام في ام في ام في ام في
+
+180
+00:17:52,300 --> 00:17:52,400
+ام في ام في ام في ام في ام في ام في ام في ام في ام
+
+181
+00:17:52,400 --> 00:17:52,400
+في ام في ام في ام في ام في ام في ام في ام في ام في
+
+182
+00:17:52,400 --> 00:17:52,400
+ام في ام في ام في ام في ام في ام في ام في ام في ام
+
+183
+00:17:52,400 --> 00:17:52,400
+في ام في ام في ام في ام في ام في ام في ام في ام في
+
+184
+00:17:52,400 --> 00:18:01,860
+ام في ام في ام في ام في ام في ام في ام في ام في ام
+
+185
+00:18:01,860 --> 00:18:03,940
+في ام
+
+186
+00:18:05,750 --> 00:18:11,830
+طب ايش رأيك في العنصر هذا و هذا؟ مش واحد معكس
+
+187
+00:18:11,830 --> 00:18:16,670
+الثاني؟ اذا هذا بيعطيني ال identity element تبع
+
+188
+00:18:16,670 --> 00:18:23,290
+من؟ ال G bar بيقدروا في Phi of An يبقى هذا بيقدر
+
+189
+00:18:23,290 --> 00:18:30,730
+يعطيني Phi of An بيقدر يساويهذا أُس مُركّب
+
+190
+00:18:30,730 --> 00:18:35,030
+باعتباره يبقى تضرب الأسس في بعضها في ال identity
+
+191
+00:18:35,030 --> 00:18:42,470
+بطلع نفس ال main نفس ال element يبقى هذا Phi of L
+
+192
+00:18:42,470 --> 00:18:52,050
+ناقص Mتمام طيب ناقص M هي مين عندنا هنا N يبقى بده
+
+193
+00:18:52,050 --> 00:18:58,310
+يشيلها و اكتب بدلها N يبقى هذا بده يعطينا Phi of A
+
+194
+00:18:58,310 --> 00:19:06,370
+N بده يساوي Phi of A كله to the power N وهو المقوم
+
+195
+00:19:07,110 --> 00:19:12,670
+إذا أثبتنا هذه الخاصية رقم اتنين لإن Zero ان بواحد
+
+196
+00:19:12,670 --> 00:19:18,530
+وان عدد موجب وان عدد سالب إذا صحيحة لكل الان اللي
+
+197
+00:19:18,530 --> 00:19:27,850
+موجودة في Z يبقى هنا Suh Phi of A N بدرساوي Phi of
+
+198
+00:19:27,850 --> 00:19:34,430
+A كله to the power N لكل ان اللي موجود في Z بلا
+
+199
+00:19:34,430 --> 00:19:39,600
+استثناءحد بيحب يسألني سؤال هنا في النقطة الثانية
+
+200
+00:19:39,600 --> 00:19:46,720
+قبل أن نذهب إلى الثالثة حد بيحب يسألني سؤالتقرأ
+
+201
+00:19:46,720 --> 00:19:50,860
+زين مرة علينا شغل زي هيك مرة و فصلناها بهذا
+
+202
+00:19:50,860 --> 00:19:56,140
+التفصيل و بال induction من حد ما يقولك N في Z بدك
+
+203
+00:19:56,140 --> 00:20:01,880
+تسوي التفصيل هذا كله لكن لو جلك N موجودة في N
+
+204
+00:20:01,880 --> 00:20:06,100
+capital يعني set of natural number يبقى بكفيني ال
+
+205
+00:20:06,100 --> 00:20:09,920
+zero او حتى ال zero مش لازم ليه بكفيني ال واحد و
+
+206
+00:20:09,920 --> 00:20:15,390
+ال K خلاص اللي هو الجزء الأول من ال proofنعود
+
+207
+00:20:15,390 --> 00:20:21,830
+للنقطة الثالثة النقطة التالتة بيقول for any a وb
+
+208
+00:20:21,830 --> 00:20:26,750
+اللي موجود في جي a بيبقى بيبقى بي بيبقى a بيبقى a
+
+209
+00:20:26,750 --> 00:20:27,010
+بيبقى a بيبقى a بيبقى a بيبقى a بيبقى a بيبقى a
+
+210
+00:20:27,010 --> 00:20:28,170
+بيبقى a بيبقى a بيبقى a بيبقى a بيبقى a بيبقى a
+
+211
+00:20:28,170 --> 00:20:29,750
+بيبقى a بيبقى a بيبقى a بيبقى a بيبقى a بيبقى a
+
+212
+00:20:29,750 --> 00:20:33,550
+بيبقى a بيبقى a بيبقى a بيبقى a بيبقى a بيبقى a
+
+213
+00:20:33,550 --> 00:20:39,320
+بيبقى a بيبقى a بيبقى a بيA وB اللي موجودة في جيب
+
+214
+00:20:39,320 --> 00:20:49,000
+ال A بيبدوا يسووا بي A F and ألف تأثير الفاي على
+
+215
+00:20:49,000 --> 00:20:56,060
+الأولى بيبدوا يسووا تأثير الفاي على الثانىمش هدول
+
+216
+00:20:56,060 --> 00:21:00,640
+عنصرين متساويين وعندي isomorphism إذا تأثير الـ
+
+217
+00:21:00,640 --> 00:21:03,480
+Phi على ال element الأول هو نفس تأثير ال Phi
+
+218
+00:21:03,480 --> 00:21:07,500
+عالميا على ال element التاني لإنه one two and and
+
+219
+00:21:07,500 --> 00:21:14,110
+on two طيب الكلام هذا صحيح if and only ifالـ Phi
+
+220
+00:21:14,110 --> 00:21:18,470
+هذه عبارة عن ايزو مورفزم إذا بده فك هذي و فك هذي
+
+221
+00:21:18,470 --> 00:21:26,070
+إذا الـ Phi of A في Phi of B بده يساوي ده فك هذي
+
+222
+00:21:26,070 --> 00:21:35,590
+يبقى Phi of B في Phi of A طبعا يبقى إيه صارت عندنا
+
+223
+00:21:35,590 --> 00:21:40,550
+بالشكل هذا و هو المطلوب يبقى و هو المطلوب نجي
+
+224
+00:21:40,550 --> 00:21:42,350
+للنقطة الرابعة
+
+225
+00:21:44,760 --> 00:21:52,100
+بنمسح الشجة دي كلها طب وش بتستنوا يالا مافيش وقت
+
+226
+00:21:52,100 --> 00:21:55,560
+مش هنجي للشجة دي يعني خلصنا نقطة تالتة بنروح
+
+227
+00:21:55,560 --> 00:22:00,820
+للرابع الان بدنا نجي للنقطة الرابع واضح انه جيه
+
+228
+00:22:01,880 --> 00:22:07,040
+بيقول هي ال group generated by a أو ال group
+
+229
+00:22:07,040 --> 00:22:12,780
+generated by a if and only if ال g bar هي ال group
+
+230
+00:22:12,780 --> 00:22:19,740
+generated by phi of a وكأنه بمعنى آخر بيقول صورة
+
+231
+00:22:19,910 --> 00:22:26,750
+الجنريتر في جيه هو جنريتر لمين لجيه بار بعبارة
+
+232
+00:22:26,750 --> 00:22:33,830
+أخرى بيقول الجنريتر تبع لجروب جيه صورته هو
+
+233
+00:22:33,830 --> 00:22:38,710
+الجنريتر لمين لجروب جيه بار معناه ان انا بقول هذا
+
+234
+00:22:38,710 --> 00:22:43,090
+من ناحية الفهملكن احنا بدنا نروح نبرهن انا عندي
+
+235
+00:22:43,090 --> 00:22:48,010
+عبارتين مربوطات ب F and only F يبقى البرهام بده
+
+236
+00:22:48,010 --> 00:22:55,350
+يصير في اتجاهينه يبقى بده اجي اقوله assume افترض
+
+237
+00:22:55,350 --> 00:23:00,710
+العبارة الاولى ان G هو ال cyclic group generated
+
+238
+00:23:00,710 --> 00:23:07,320
+by Aماذا بدنا نثبت؟ بدنا نثبت ان جي بار هي ال
+
+239
+00:23:07,320 --> 00:23:12,880
+group generated by phi of a بمعنى أخر لو رجعت إلى
+
+240
+00:23:12,880 --> 00:23:19,240
+مبادئ الرياضيات وقدرت اثبت ان جي بار subset من ال
+
+241
+00:23:19,240 --> 00:23:23,920
+subgroup generated by phi of aو بعد ذلك استطعت أن
+
+242
+00:23:23,920 --> 00:23:29,220
+أثبت أن الـ subgroup من الـ G بار يبقى اتنين are
+
+243
+00:23:29,220 --> 00:23:33,080
+equal يبقى هذه السراتجية في البرهان بدأت تحدث
+
+244
+00:23:33,080 --> 00:23:38,820
+بالشكل اللي عندنا هذا طيب نمشي الآن انا بدأ أثبت
+
+245
+00:23:38,820 --> 00:23:45,280
+الاتنين هذول are equal كويس؟ الآن اسيوم فرضنا هذا
+
+246
+00:23:45,280 --> 00:23:54,460
+الآن ال A موجودة في جيهذا معناته ان الـ Phi of A
+
+247
+00:23:54,460 --> 00:24:03,000
+موجود في الـ G bar تمام ال Phi A موجود في الـ G
+
+248
+00:24:03,000 --> 00:24:10,480
+bar هذا معناته ان ال sub group generated by Phi of
+
+249
+00:24:10,480 --> 00:24:16,280
+A subset من الـ G bar صح ولا لاهذا ال element
+
+250
+00:24:16,280 --> 00:24:21,380
+موجود في ايه؟ يبقى صورته موجودة في جي بار مادام ال
+
+251
+00:24:21,380 --> 00:24:25,380
+element هذا موجود في جي بار يبقى هيكوّل ليه
+
+252
+00:24:25,380 --> 00:24:30,560
+subgroup generated by phi of a يمكن قد الجي بار
+
+253
+00:24:30,560 --> 00:24:35,420
+بالكامل ويمكن أقل شوية لكن عنها مازيدش بالمرة،
+
+254
+00:24:35,420 --> 00:24:38,280
+مظبوط؟ يبقى هذا معناه
+
+255
+00:24:45,310 --> 00:24:51,570
+العلاقة هذه رقم star الان
+
+256
+00:24:51,570 --> 00:24:57,390
+ناخد العملية العكسية افترض
+
+257
+00:24:57,390 --> 00:25:06,780
+ان بي موجودة في جي بارالان فاي is onto يبقى بي
+
+258
+00:25:06,780 --> 00:25:14,520
+اللي موجودة في جي بار الها أصل في جي يبقى هنا
+
+259
+00:25:14,520 --> 00:25:24,780
+since بما أن الفاي is onto ال بي هذه لازم تسوي لي
+
+260
+00:25:24,780 --> 00:25:34,470
+فاي of ا كيبقى الـP اللي أخدته في G أنا فرض من؟
+
+261
+00:25:34,470 --> 00:25:39,790
+فرض هذه هيك بالشكل هذا يعني فرضها الـCyclic group
+
+262
+00:25:39,790 --> 00:25:44,230
+generated by A إذا الـElement P يبدو يسوي
+
+263
+00:25:44,230 --> 00:25:49,070
+الـElement موجود هنا إيه شكل الـElement؟ شكله A
+
+264
+00:25:49,070 --> 00:25:54,130
+أُس K يبقى الـElement P اللي موجود في G برصوته Phi
+
+265
+00:25:54,130 --> 00:26:01,530
+of AKطيب لما اقول fi of a k ال k هادي positive ولا
+
+266
+00:26:01,530 --> 00:26:05,410
+negative ولا zero؟ positive و negative و zero
+
+267
+00:26:05,410 --> 00:26:15,270
+معقول؟ طلع هنا0 ممكن 1,2,3,4 لغاية ال N يبقى لا
+
+268
+00:26:15,270 --> 00:26:21,610
+يمكن تبقى negative بالمرة على الإطلاع حتى لو كانت
+
+269
+00:26:21,610 --> 00:26:29,010
+negative فهذه بدها تساوي 5 of A كله to the power K
+
+270
+00:26:29,010 --> 00:26:36,850
+from part 2طبعا نيجاتيب مش ممكن لكن احنا بقول حتى
+
+271
+00:26:36,850 --> 00:26:42,630
+لو كانت يبقى هذه صحيحة بقدر احط ال K من ال A إلى
+
+272
+00:26:42,630 --> 00:26:49,090
+ال Phi of A K كلها هذا طيب هذا ال element موجود في
+
+273
+00:26:49,090 --> 00:26:54,780
+ال subgroup generated by Phi of A ولا لا صح؟سكت
+
+274
+00:26:54,780 --> 00:26:59,540
+الشعب شخصيات السيكليك جروب شبتر أربع يبقى ال
+
+275
+00:26:59,540 --> 00:27:03,740
+element اللي موجود في السيكليك جروب generated by a
+
+276
+00:27:03,740 --> 00:27:08,380
+بيكون a أس رقم يبقى ال sub group generated by five
+
+277
+00:27:08,380 --> 00:27:14,740
+of a بيكون five of a أس رقم صحيح موجر يبقى معنى
+
+278
+00:27:14,740 --> 00:27:20,660
+هذا الكلام أن ال b تساوي هذه وهذه وإن موجودةهذه
+
+279
+00:27:20,660 --> 00:27:26,760
+موجودة في الـ subgroup generated by phi of a طب
+
+280
+00:27:26,760 --> 00:27:33,090
+اتطلع اخدنا بيه وين موجودةفي جي بار وين لقينا بيه
+
+281
+00:27:33,090 --> 00:27:37,810
+موجودة في five of a sub group generated by five of
+
+282
+00:27:37,810 --> 00:27:43,970
+a يبقى معنى هذا الكلام ان جي بار هذي ال subset من
+
+283
+00:27:43,970 --> 00:27:48,950
+ال sub group generated by five of a وهذه اللي هي
+
+284
+00:27:48,950 --> 00:27:53,370
+double star اتطلعلي في ال star و اتطلعلي في ال
+
+285
+00:27:53,370 --> 00:27:58,350
+double star ايش بنستنتج يبقى باجي بقوله هنا from
+
+286
+00:28:06,130 --> 00:28:13,010
+G bar بيساوي ال sub group generated by Phi of A
+
+287
+00:28:13,010 --> 00:28:16,870
+نمشي
+
+288
+00:28:16,870 --> 00:28:25,170
+العملية العكسية يبقى باجي بقوله conversely assume
+
+289
+00:28:25,170 --> 00:28:27,510
+that
+
+290
+00:28:28,610 --> 00:28:34,710
+الـ G bar هي الـ sub group generated by Phi of A
+
+291
+00:28:34,710 --> 00:28:38,850
+مرة
+
+292
+00:28:38,850 --> 00:28:44,870
+ثانية احنا اثبتنا الاتجاه افرضنا الاتجاه الأول و
+
+293
+00:28:44,870 --> 00:28:48,750
+اثبتنا الاتجاه الثاني الآن بدي افترض الاتجاه
+
+294
+00:28:48,750 --> 00:28:55,540
+الثاني و بدي احاول اثبت من الاتجاه الأولطب كويس
+
+295
+00:28:55,540 --> 00:29:01,120
+انا فرض ان جي بارتو ساوي في of a بدي احاول اثبت ان
+
+296
+00:29:01,120 --> 00:29:07,060
+الجي هي ال sub group generated by a اللي صورته من؟
+
+297
+00:29:07,060 --> 00:29:15,300
+صورته في of a طب كويس الان لو جيت اخد العنصر اللي
+
+298
+00:29:15,300 --> 00:29:19,340
+موجود في جي مين ما يكون يكون يبقى لو جيت يقولش لك
+
+299
+00:29:19,340 --> 00:29:23,660
+little a belongs to g then
+
+300
+00:29:26,000 --> 00:29:32,660
+الـ A K موجود في G ولا لا؟ لأنه جي جروب اضربه نفسه
+
+301
+00:29:32,660 --> 00:29:35,600
+ان شاء الله مليون مرة بيكون موجود فيه G لإن G
+
+302
+00:29:35,600 --> 00:29:40,660
+closed under the operation يبقى A K موجود فيه G
+
+303
+00:29:40,660 --> 00:29:48,980
+طيب، الآن لو جيت أخدت هذا بدي أخدلك إنه الـ Phi أو
+
+304
+00:29:48,980 --> 00:29:52,800
+في الأول أستنى، أستنى، لحظة شوية، لحظة شوية والله
+
+305
+00:29:52,800 --> 00:29:59,630
+يا شباباستعجلنا احنا هذه a موجودة في جيب تمام يبقى
+
+306
+00:29:59,630 --> 00:30:05,890
+معنى هذا الكلام ان ال sub group generated by a sub
+
+307
+00:30:05,890 --> 00:30:12,570
+set من جيب صح ولا لا يبقى هذه ال sub set من من جيب
+
+308
+00:30:12,570 --> 00:30:19,550
+وهذه النقطة الأولى اللى بدى أسميها شرطة واحدةتمام
+
+309
+00:30:19,550 --> 00:30:23,970
+يبقى انا صار sub group by subset من دى لان بدي
+
+310
+00:30:23,970 --> 00:30:31,210
+اعمل العملية العكسية يبقى بداتي اقول let ال a
+
+311
+00:30:31,210 --> 00:30:37,990
+belongs to g then ال
+
+312
+00:30:37,990 --> 00:30:43,630
+a k belongs to g تمام
+
+313
+00:30:44,690 --> 00:30:51,890
+طيب هذا معناه ايش ان الـ Phi of A K وين موجودة يا
+
+314
+00:30:51,890 --> 00:30:59,310
+شباب جي بار جي بار طب و جي بار مين هي subgroup
+
+315
+00:30:59,310 --> 00:31:08,170
+generated by Phi of A معناه هذا الكلام ان Phi of A
+
+316
+00:31:08,170 --> 00:31:12,270
+K بده يساوي هنا Phi
+
+317
+00:31:15,180 --> 00:31:25,420
+هذا فاى بيساوي فاى of a اللي هو كله to the power k
+
+318
+00:31:25,420 --> 00:31:33,060
+هذا من أين جبتها؟ من الخاصية الرقم اتنين يبقى هذه
+
+319
+00:31:33,060 --> 00:31:42,430
+from اللي هو الخاصية الرقم اتنينطيب، الآن صار عندي
+
+320
+00:31:42,430 --> 00:31:49,870
+مين؟ صار عندي Phi of A K بدي ساوي Phi of A كله to
+
+321
+00:31:49,870 --> 00:31:55,770
+the power K طيب، هذا يعتبر element وين موجود؟
+
+322
+00:31:55,770 --> 00:32:02,530
+موجود، فاهمين؟ هذا كله element موجود في ال
+
+323
+00:32:02,530 --> 00:32:10,650
+subgroup generated by Phi of Aلحظة شوية ا ك موجودة
+
+324
+00:32:10,650 --> 00:32:15,090
+في جي فاي او ا ك موجودة في بي بار جي بار احنا
+
+325
+00:32:15,090 --> 00:32:23,350
+فرضينها تساوي هيك اه طيب طيب
+
+326
+00:32:23,350 --> 00:32:28,830
+هذه العبارة لحظة شوية شباب هذه بدي اشيها ا موجودة
+
+327
+00:32:28,830 --> 00:32:40,670
+في جي ا موجودة في جيهذا بده يعطيني ان في او ا
+
+328
+00:32:40,670 --> 00:32:45,670
+موجودة
+
+329
+00:32:45,670 --> 00:32:54,390
+في جي بار تمام و جي بار هي اللتي تساوي من تساوي في
+
+330
+00:32:54,390 --> 00:33:01,930
+او ا طيب
+
+331
+00:33:01,930 --> 00:33:08,650
+يبقى أصبحت عنديبس بديش اخليها يا طيب هذا خط A
+
+332
+00:33:08,650 --> 00:33:14,550
+موجود في G يبقى Phi of A موجود في G bar تمام موجود
+
+333
+00:33:14,550 --> 00:33:25,470
+في G bar يبقى Phi of A بدها تساوي استنشف
+
+334
+00:33:25,470 --> 00:33:30,330
+بدي اخد خليلي HDB مشان مايصيرش بس لبس في الموضوع
+
+335
+00:33:30,330 --> 00:33:37,090
+HDB و HDBيبقى بدا افترض ان بي موجود في جي يبقى في
+
+336
+00:33:37,090 --> 00:33:46,170
+of بي موجود في جي بار في of a هذا بده يعطيني ان في
+
+337
+00:33:46,170 --> 00:33:58,820
+of بي بده يساوي في of a كله to the power of kفاي
+
+338
+00:33:58,820 --> 00:34:06,420
+او اي كله to the power k هذا اللي هو بده يساوي فاي
+
+339
+00:34:06,420 --> 00:34:16,240
+او اي to the power k طبعا فاي ايزو مورفزل يعني
+
+340
+00:34:16,240 --> 00:34:24,940
+الفاي ايش is one to one يبقى هنا but فاي is one to
+
+341
+00:34:24,940 --> 00:34:31,390
+oneما دام one to one صورتين متساويتين يبقى أصلهم
+
+342
+00:34:31,390 --> 00:34:37,510
+مش بده يكون متساوي يبقى five is one to one هذا بده
+
+343
+00:34:37,510 --> 00:34:46,190
+يعطيلك انه بي بدها تساوي a to the power k مدام a
+
+344
+00:34:46,190 --> 00:34:50,550
+to the power k يبقى ال a to the power k موجودة في
+
+345
+00:34:50,550 --> 00:34:55,780
+ال sub group generated by aممتاز اذا اخدنا بي
+
+346
+00:34:55,780 --> 00:35:01,160
+موجود في جي اثبتنا ان بي موجود في subgroup
+
+347
+00:35:01,160 --> 00:35:07,680
+generated by a هذا معناه ان جي is a subset
+
+348
+00:35:07,680 --> 00:35:14,700
+milligroup generated by a اطلعلي للأولى واطلعلي
+
+349
+00:35:14,700 --> 00:35:20,630
+للتانية هذه هياللي هو التانية بالشكل اللي عندنا
+
+350
+00:35:20,630 --> 00:35:26,130
+هنا يبقى بقدر أقول الآن
+
+351
+00:35:26,130 --> 00:35:35,030
+بقدر
+
+352
+00:35:35,030 --> 00:35:43,290
+أقول from اللي هو ال star الأولى ال star التانية
+
+353
+00:35:43,290 --> 00:35:52,100
+we haveإن الـ G بيكون ساوية لـ group generated by
+
+354
+00:35:52,100 --> 00:35:55,940
+A يبقى
+
+355
+00:35:55,940 --> 00:36:01,560
+هي أثبتنا A اللي هو النظرية يعني يبقى بناء عليه
+
+356
+00:36:01,560 --> 00:36:04,960
+الـ G بيكون ساوية لـ subgroup generated by A if
+
+357
+00:36:04,960 --> 00:36:08,340
+and only if الـ G برثة والsubgroup generated by
+
+358
+00:36:08,340 --> 00:36:12,680
+Phi of A بيبقى تفهيمي من الآن فصاعداإن ال
+
+359
+00:36:12,680 --> 00:36:17,540
+generator لجروب الأولى الصورة هتولد أو يكون
+
+360
+00:36:17,540 --> 00:36:22,840
+generator لمين؟ للجروب الثاني يبقى هذا النقطة
+
+361
+00:36:22,840 --> 00:36:29,390
+الرابعة بدنا نروح للنقطة الخامسةالنقطة الخامسة
+
+362
+00:36:29,390 --> 00:36:34,350
+بتقول ان ال order ل a بده يسوى ال order ل fi of a
+
+363
+00:36:34,350 --> 00:36:39,870
+لكل ال a اللي موجود في جيه يبقى بقى داجي اقول له
+
+364
+00:36:39,870 --> 00:36:50,390
+assume ان ال order ل a بده يسوى m and ال m is
+
+365
+00:36:50,390 --> 00:36:53,750
+finite and
+
+366
+00:36:55,110 --> 00:37:07,890
+الـ Order لـ Phi of A بدل سوء الـ N مثلا مرة
+
+367
+00:37:07,890 --> 00:37:12,350
+تانية مطلوب أني أثبت أن الـ Order لـ A بدل سوء الـ
+
+368
+00:37:12,350 --> 00:37:18,850
+Order لـ Phi A في حالة إذا كان Phi isomorphismيبقى
+
+369
+00:37:18,850 --> 00:37:22,650
+باجي بقول افترض ان ال order ليه يسوى m و ال m
+
+370
+00:37:22,650 --> 00:37:27,670
+finite لان ال order قد يكون infinite يبقى انا بدأ
+
+371
+00:37:27,670 --> 00:37:32,790
+اخد حالة ال finite ال m is finite واخدت ال order
+
+372
+00:37:32,790 --> 00:37:37,950
+لفا يو فيه يسوى ال n ايش بدى اثبت ان ال m بدها
+
+373
+00:37:37,950 --> 00:37:44,630
+ساوى ال n اذا جدت اثبت ان ال m اقل من او يسوى ال n
+
+374
+00:37:44,630 --> 00:37:51,000
+و ال n اقل من او يسوى ال mاريكل بلغة مبادئ
+
+375
+00:37:51,000 --> 00:38:00,480
+الرياضية كويس بأجي بقوله consider خدلي الـPhi of A
+
+376
+00:38:00,480 --> 00:38:12,160
+كله اسم يساوي هذا عبارة عن Phi of A M من أين جبت
+
+377
+00:38:12,160 --> 00:38:18,040
+المعلومة هذه؟من part two من الجزء الأول يبقى هذه
+
+378
+00:38:18,040 --> 00:38:27,980
+from part two هذا الكلام يساوي five of أنا فضل ال
+
+379
+00:38:27,980 --> 00:38:36,280
+m هو الأردر تبع ال a يبقى a أس m مابجداش a أس m a
+
+380
+00:38:36,280 --> 00:38:43,790
+أس m بمين؟بالـ Identity تبع من؟ تبع الـ G وليس الـ
+
+381
+00:38:43,790 --> 00:38:49,490
+G bar يبقى الـ Identity element تبع الـ G هذا كله
+
+382
+00:38:49,490 --> 00:38:54,790
+يسوى الـ Identity element تبع الـ G bar طيب، أنا
+
+383
+00:38:54,790 --> 00:39:01,530
+فرض ان ال order لـ Phi of A يسوى الـ N لجيت رقم
+
+384
+00:39:01,530 --> 00:39:06,870
+تاني رفعته للـ M ساوة الـ Identity شو العلاقة ما
+
+385
+00:39:06,870 --> 00:39:14,940
+بين الـ N و الـ M؟يبقى ال N أقل من M لإن ال N أصغر
+
+386
+00:39:14,940 --> 00:39:20,480
+عدد صحيح موجه بارفع أسل وبيعطينا ال identity يبقى
+
+387
+00:39:20,480 --> 00:39:27,200
+هنا هذا بده يعطينا إن ال N أقل من أو يساوي ال M
+
+388
+00:39:27,200 --> 00:39:36,100
+وهذا اعتبر هالي هنا Star أغششك أكتر؟ لو كان عندك
+
+389
+00:39:36,100 --> 00:39:42,420
+ال order لإيه هو Nو لو وجدت M وضعته أس سوى ال
+
+390
+00:39:42,420 --> 00:39:49,640
+identity يبقى لازم ال N تقسم ال M دائما و أبدا
+
+391
+00:39:49,640 --> 00:39:55,700
+يعني ال order لل element أقل أس بحطه للعدد بيعطيني
+
+392
+00:39:55,700 --> 00:40:00,720
+ال identity لو لجيت عدد غيره وضعته أس اللي يعطاني
+
+393
+00:40:00,720 --> 00:40:04,080
+ال identity يبقى ال order لل element هذا يقسم
+
+394
+00:40:04,080 --> 00:40:09,330
+الرقم الجديدانا عارف ان هناك شبتر اربع بس انا
+
+395
+00:40:09,330 --> 00:40:13,630
+بتذكره بتذكير لانها بتلزمنا كتير و احنا بنحل مسائل
+
+396
+00:40:13,630 --> 00:40:19,470
+هذه طيب يبقى ال N اقل من او يساوي من اقل من او
+
+397
+00:40:19,470 --> 00:40:25,510
+يساوي ال M الان بدنا نعمل العملية العكسية بدي اثبت
+
+398
+00:40:25,510 --> 00:40:32,380
+ان ال M اقل من او يساوي ال Mانا فارض هنا ال order
+
+399
+00:40:32,380 --> 00:40:38,880
+ل ال a يسوى ال m و ال m is finite افترض ان ال n is
+
+400
+00:40:38,880 --> 00:40:50,420
+finite يبقى هنا if ال n is finite if
+
+401
+00:40:50,420 --> 00:40:59,930
+ال n is finite then بدي اخد fi of a أس nيبقى من
+
+402
+00:40:59,930 --> 00:41:07,340
+part two هذا في of a كله to the power nطب انا افرض
+
+403
+00:41:07,340 --> 00:41:11,500
+ان ال order له كله بده يساوي ال N يبقى هذا مين بده
+
+404
+00:41:11,500 --> 00:41:17,120
+يساوي؟ بده يساوي ال identity element تبع مين؟ تبع
+
+405
+00:41:17,120 --> 00:41:23,320
+ال G bar ال identity element تبع ال G bar اللي هو
+
+406
+00:41:23,320 --> 00:41:28,920
+عبارة عن مين؟ عبارة عن صورة ال identity element
+
+407
+00:41:28,920 --> 00:41:34,020
+تبع ال Gهذا الكلام من وين؟ من part one من النقطة
+
+408
+00:41:34,020 --> 00:41:40,740
+الأولى طيب في one to one ولا لا؟لو كانت five one
+
+409
+00:41:40,740 --> 00:41:46,180
+one to one و الصورتين متساويتين يبقى الأصل متساوي
+
+410
+00:41:46,180 --> 00:41:53,020
+يبقى هذا بده يعطينا أن الان بده يساوي ال identity
+
+411
+00:41:53,020 --> 00:42:00,000
+since five is one to one نظرة لأن five is one to
+
+412
+00:42:00,000 --> 00:42:06,010
+oneطيب يبقى ايه؟ لجيت أس حتة طولة اعطانا ال
+
+413
+00:42:06,010 --> 00:42:13,630
+identity وانا فرض ال order ليه قداش؟ M يبقاش علاقة
+
+414
+00:42:13,630 --> 00:42:22,370
+M ب N أصغر منه بتقسمه كذلك يبقى باجي بقوله so ال M
+
+415
+00:42:22,370 --> 00:42:30,080
+أقل من أو تساوي ال N وهذه double star الثانيةيبقى
+
+416
+00:42:30,080 --> 00:42:34,900
+انا اثبتله في الحالة الأولى ان ان اقل من او تساوي
+
+417
+00:42:34,900 --> 00:42:40,220
+ام و اثبتله ان الام اقل من او تساوي ان من الاتنين
+
+418
+00:42:40,220 --> 00:42:44,800
+مع بعض هدول يبقى الاتنين are equal يبقى باجي بقوله
+
+419
+00:42:44,800 --> 00:42:54,490
+هنا fromstar and double star ال N بدها تساوي ال M
+
+420
+00:42:54,490 --> 00:43:00,250
+هذا معناه ان ال order لل element A بده يساوي ال
+
+421
+00:43:00,250 --> 00:43:05,770
+order لل Phi of A لكل ال element A اللي belongs ل
+
+422
+00:43:05,770 --> 00:43:11,350
+group main ل group G وهو المطلوب حد بده يسألي سؤال
+
+423
+00:43:11,350 --> 00:43:18,930
+في هذه النقطة الخامسة كذلك اهالنقطة السادسة
+
+424
+00:43:18,930 --> 00:43:22,830
+والسبعة على السريع في ثلاث دقائق ان شاء الله
+
+425
+00:43:32,770 --> 00:43:35,470
+النقطة الصعبة بالنسبة لي هي اذا قمت باستخدام انتجر
+
+426
+00:43:35,470 --> 00:43:38,050
+K وقمت باستخدام جروب Element P موجود في الـ
+
+427
+00:43:38,050 --> 00:43:46,210
+Equation يبقى بداجي اقوله افترض ان A اللي موجود في
+
+428
+00:43:46,210 --> 00:43:56,890
+G is a solution of ال X to the power K بدو يساوي
+
+429
+00:43:56,890 --> 00:44:04,650
+ال Bما دام انا افرض حل هذه المعادلة اذا تحقق هذه
+
+430
+00:44:04,650 --> 00:44:09,630
+المعادلة يبقى بصيلة ان a to the power of k بده
+
+431
+00:44:09,630 --> 00:44:16,110
+يساوي من؟ بده يساوي بي الان اثرلي على الطرفين بفاي
+
+432
+00:44:16,110 --> 00:44:23,980
+يبقى فاي of a كي بده يساوي فاي of بيمن الجزء اتنين
+
+433
+00:44:23,980 --> 00:44:29,580
+من النظرية يبقى phi of a كله to the power k بده
+
+434
+00:44:29,580 --> 00:44:35,540
+يساوي phi of v شوفلي هذا الجزء الثاني ولا لأ هو
+
+435
+00:44:35,540 --> 00:44:42,760
+هذايبقى فاي of a حققت لمين المعادلة الثانية يبقى
+
+436
+00:44:42,760 --> 00:44:48,000
+فاي of a عبارة عن solution يبقى هذا بده يقين ان
+
+437
+00:44:48,000 --> 00:44:55,880
+فاي of a is a solution of x to the power k بده
+
+438
+00:44:55,880 --> 00:45:05,660
+يسوي فاي of bمعناته اي solution للمعادلة يبقى
+
+439
+00:45:05,660 --> 00:45:15,860
+هنا sir any solution of the equation x to the
+
+440
+00:45:15,860 --> 00:45:20,500
+power k is corresponding
+
+441
+00:45:38,700 --> 00:45:46,740
+وهو المطلوبيعني أي حل للمعادلة الأولى سنجد نظيرة
+
+442
+00:45:46,740 --> 00:45:51,680
+له Phi of A حل من للمعادلة التانية وبالتالي عدد
+
+443
+00:45:51,680 --> 00:45:55,580
+الحلول للمعادلة الأولى يسوى عدد الحلول للمعادلة
+
+444
+00:45:55,580 --> 00:45:58,300
+التانية سبعة تحصيل حاصل
+
+445
+00:46:13,270 --> 00:46:17,730
+ذن ال order اللي اجيبه دي ساو ال order اللي اجيبه
+
+446
+00:46:17,730 --> 00:46:28,120
+ليش؟ because five is one to one and untoيبقى عدد
+
+447
+00:46:28,120 --> 00:46:31,880
+العناصر هنا بيكون جد عدد عدد عدد عدد عدد عدد عدد
+
+448
+00:46:31,880 --> 00:46:34,380
+عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد
+
+449
+00:46:34,380 --> 00:46:38,280
+عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد
+
+450
+00:46:38,280 --> 00:46:38,820
+عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد
+
+451
+00:46:38,820 --> 00:46:40,460
+عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد
+
+452
+00:46:40,460 --> 00:46:41,940
+عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد عدد
+
+453
+00:46:41,940 --> 00:46:45,420
+عدد عدد
+
+454
+00:46:49,600 --> 00:46:53,300
+يبقى من بابا ولا مالة نهاية جد المالة نهاية يعني
+
+455
+00:46:53,300 --> 00:47:05,260
+يبقى if g is finite also if ال g is infinite then
+
+456
+00:47:05,260 --> 00:47:16,620
+ال g bar is infinite because برضه ال five is one
+
+457
+00:47:16,620 --> 00:47:18,880
+to one and unto
+
+458
+00:47:23,720 --> 00:47:29,800
+طيب لا يزال في خاصية أخيرة للمرة القادمة ان شاء
+
+459
+00:47:29,800 --> 00:47:31,060
+الله يعطيكوا العافية
+
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/ydybodWcOkM_raw.srt b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/ydybodWcOkM_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..d9a191c707ec54c9bca3a992fe11352c1f5b88e3
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/ydybodWcOkM_raw.srt
@@ -0,0 +1,984 @@
+1
+00:00:21,450 --> 00:00:26,270
+بسم الله الرحمن الرحيم بنتابع الآن حل الأسئلة على
+
+2
+00:00:26,270 --> 00:00:31,450
+هذا الموضوع بعد انقطاع الكهرباء لمدة نصف ساعة
+
+3
+00:00:31,450 --> 00:00:37,510
+فبنواصل عملية التصوير مع حل المسائل السؤال بيقول
+
+4
+00:00:37,510 --> 00:00:49,230
+ايه show that show that ان ال order lay in is even
+
+5
+00:00:52,340 --> 00:00:58,700
+و ال N دائما و أبدا أكبر من مين؟ من اتنين يعني من
+
+6
+00:00:58,700 --> 00:01:04,100
+عند U تلاتة و انت طالع بدي يكون ال order لها even
+
+7
+00:01:04,100 --> 00:01:09,520
+دائما و أبدا طب لو كان U تلاتةفي عنصر واحد واتنين
+
+8
+00:01:09,520 --> 00:01:13,900
+يبقى ال order لها يساوي اتنين طب لو كان يو أربعة
+
+9
+00:01:13,900 --> 00:01:19,700
+هي واحد و تلاتة اتنين برضه عدد زوجي طب لو كان يو
+
+10
+00:01:19,700 --> 00:01:24,100
+أربعة كل واحد و تلاتة طب لو كان يو خمسة واحد و
+
+11
+00:01:24,100 --> 00:01:28,900
+اتنين و تلاتة و اربعة اربعة عناصر even لو كانت يو
+
+12
+00:01:28,900 --> 00:01:33,900
+ستة واحد و خمسة برضه evenلو كانت يو سبعة واحد
+
+13
+00:01:33,900 --> 00:01:39,000
+اتنين تلاتة اربعة خمسة ستة يبقى ستة يبقى even و
+
+14
+00:01:39,000 --> 00:01:43,800
+هكذا يبقى لكل ال in اللي اكبر من اتنين يعني من
+
+15
+00:01:43,800 --> 00:01:47,560
+التلاتة والصعيد بدأ نثبت ان ال order ل you in
+
+16
+00:01:47,560 --> 00:01:53,960
+دائما و أبدا is even عدد زوجي بنقوله كويس الفكرة
+
+17
+00:01:53,960 --> 00:01:59,540
+في الموضوع كيف؟لو قدرت ألاقي element ال order له
+
+18
+00:01:59,540 --> 00:02:04,080
+يساوي اتنين انك بحلنا الإشكالية لإن ال order لل
+
+19
+00:02:04,080 --> 00:02:08,950
+element دائما و قبلان بيقسم مينالـ order لل group
+
+20
+00:02:08,950 --> 00:02:14,510
+صحيح ولا لا يبقى انا لو لقيت و لو element واحد فقط
+
+21
+00:02:14,510 --> 00:02:18,710
+ال order الو يساو اتنين بيكون حلنا مسالتنا صحيح
+
+22
+00:02:18,710 --> 00:02:25,110
+ولا لا طيب الان في UN حد فيكم بيقدر يجيبلي element
+
+23
+00:02:25,110 --> 00:02:31,250
+واحد من UN ال order الو يساو اتنين بمعنى ان هذا ال
+
+24
+00:02:31,250 --> 00:02:35,010
+element لو ربعته بيطلع ال identity اللي هو واحد
+
+25
+00:02:35,820 --> 00:02:39,300
+الان ناقص واحد تعالى نشوف الان ناقص واحد الكلام
+
+26
+00:02:39,300 --> 00:02:49,160
+يقوله صح ولا غلط الان انا باجي للحلقة التالية يبقى
+
+27
+00:02:49,160 --> 00:02:56,500
+فده يقوله solution احنا عندنا ال M ناقص واحد كل
+
+28
+00:02:56,500 --> 00:03:02,560
+هذا ال element belongs to UMإذا قدرت أثبت مثل ما
+
+29
+00:03:02,560 --> 00:03:06,280
+زميلكو اقترح إنه هذا ال element إذا قدرت أثبت إنه
+
+30
+00:03:06,280 --> 00:03:11,900
+ال order له يساوي 2 يبقى 2 يجسم ال order ل ال UN
+
+31
+00:03:11,900 --> 00:03:16,320
+اتنين بيجسمش لعدد زوجي بيجسمش لعدد فردي وبالتالي
+
+32
+00:03:16,320 --> 00:03:23,520
+إجباري بدي يكون ال order ل UN is evenطيب هذا بدى
+
+33
+00:03:23,520 --> 00:03:30,500
+يتطلب منى ان الان ناقص واحد الكل تربيع كمان موجود
+
+34
+00:03:30,500 --> 00:03:35,500
+في UN ليش لأن ال UN is a group closed under
+
+35
+00:03:35,500 --> 00:03:40,660
+multiplication طيب تعالى نشوف الان ناقص واحد الكل
+
+36
+00:03:40,660 --> 00:03:47,080
+تربيع شو بيساوي هذا ان تربيع ناقص اتنين ان زائد
+
+37
+00:03:47,080 --> 00:03:52,240
+واحدالان تربيع يبقى كم؟ طبعا كله موديولو ان هذا
+
+38
+00:03:52,240 --> 00:03:58,380
+كله موديولو ان يبقى الان تربيع يعني
+
+39
+00:03:58,380 --> 00:04:03,880
+كم بيساوي؟ Zero الان هذا بيزيرو في اثنين بيزيرو
+
+40
+00:04:03,880 --> 00:04:10,230
+بيضل كم؟ بيضل واحد تمامما دم ضل واحد يبقى انا ربعت
+
+41
+00:04:10,230 --> 00:04:15,090
+ال element اللي فيه in بدي يسوى واحد هذا معناه ان
+
+42
+00:04:15,090 --> 00:04:23,250
+ال order لل in minus ال one equal اتنى since بما
+
+43
+00:04:23,250 --> 00:04:37,290
+ان ال order لل a بيقسم ال order ل g for anyElement
+
+44
+00:04:37,290 --> 00:04:47,020
+ورقاني element لأي element اللي موجود فيهأخدنا هذه
+
+45
+00:04:47,020 --> 00:04:49,920
+الـ Crullery سابقة لأن الـ order للـ element بيقسم
+
+46
+00:04:49,920 --> 00:04:54,620
+لمن؟ بيقسم ال order لمن؟ لل group معناه هذا الكلام
+
+47
+00:04:54,620 --> 00:05:03,840
+ان اتنين divide ال order لمن؟ ل UN لإتنين اللي هي
+
+48
+00:05:03,840 --> 00:05:11,800
+ال order تبع ال N minus ال one divideorder ل UN مش
+
+49
+00:05:11,800 --> 00:05:20,320
+ممكن يحصل إلا إذا كان ال order هذا معله even يبقى
+
+50
+00:05:20,320 --> 00:05:28,940
+هذا بده يعطينا ان ال order ل UN is even because
+
+51
+00:05:28,940 --> 00:05:36,780
+السبب ان اتنين does not divide
+
+52
+00:05:38,210 --> 00:05:45,690
+any odd number لأن
+
+53
+00:05:45,690 --> 00:05:51,570
+الأتنين لا تقسم أي odd number كيف؟
+
+54
+00:05:51,570 --> 00:06:00,110
+طيب لو سوتي اتنين قداش بيكون كم عنصر فيها؟ طبعا
+
+55
+00:06:00,110 --> 00:06:06,090
+ماعرفتش السبب؟ أكبر من اتنين يعني من تلاتة فصاعد
+
+56
+00:06:07,000 --> 00:06:13,120
+طيب هذا كان السؤال رقم اللي هو تمانتاش فبنجي لسؤال
+
+57
+00:06:13,120 --> 00:06:20,200
+رقم اتنين وعشرين اتنين وعشرين طبعا هو سؤال عشرين
+
+58
+00:06:20,200 --> 00:06:24,220
+في الأول السؤال العشرين بيقول اتش وكيه هدول ال
+
+59
+00:06:24,220 --> 00:06:29,700
+subgroup و ال order ل اتش يساوي اتناش و ال order
+
+60
+00:06:29,700 --> 00:06:33,300
+لكيه خمسة و تلاتين بده ال order لل intersection
+
+61
+00:06:35,980 --> 00:06:45,960
+سؤال عشرين بيقول ال H subgroup من G وال K كذلك
+
+62
+00:06:45,960 --> 00:06:53,480
+subgroup من G and ال order لل H بده يساوي اتناش
+
+63
+00:06:53,480 --> 00:06:59,600
+وال order لل K بده يساوي اللي هو كدهش خمسة و
+
+64
+00:06:59,600 --> 00:07:07,620
+تلاتين اظن خمسة و تلاتين findبدنا نجد قداش ال
+
+65
+00:07:07,620 --> 00:07:15,800
+order ل ال H intersection K بدنا نعرف قداش ال
+
+66
+00:07:15,800 --> 00:07:20,860
+order هذا اللي عندنا خلّي
+
+67
+00:07:20,860 --> 00:07:25,260
+بالك يعني خلاص من اتنين خلاص من اتنين ايش خلاص من
+
+68
+00:07:25,260 --> 00:07:29,180
+اتنين انا باعرف يبقى اسم ال device خلاص من اتنين
+
+69
+00:07:34,900 --> 00:07:38,920
+طيب ماشي كلامك صح اللي حكيته لكن احنا بنجيبه
+
+70
+00:07:38,920 --> 00:07:43,440
+بطريقة تناسب هذا الشبتر اللي هو ال order لل
+
+71
+00:07:43,440 --> 00:07:48,820
+element بيقسم ال order لل group صحيح طيب الان بدي
+
+72
+00:07:48,820 --> 00:07:54,810
+اشوف اكم عنصر هنا موجود في هذا ال intersectionمشان
+
+73
+00:07:54,810 --> 00:07:57,470
+يكون العنصر موجود في ال intersection يعني العنصر
+
+74
+00:07:57,470 --> 00:08:01,650
+اللي لازم يكون موجود في H و لازم يكون موجود وين؟
+
+75
+00:08:01,650 --> 00:08:06,130
+في K يعني ال order تبعه بدي يقسم ل 12 و ال order
+
+76
+00:08:06,130 --> 00:08:12,750
+تبعه بدي يقسم ل 35 يبقى انا لو جيت للحلقة التالية
+
+77
+00:08:12,750 --> 00:08:21,950
+و روحت قلت له the divisors of 12R
+
+78
+00:08:22,870 --> 00:08:31,030
+الواحد والاتنين والتلاتة والاربع والست واطمعاش بدي
+
+79
+00:08:31,030 --> 00:08:40,110
+اجيب ال divisors كمان of الخمسة وتلاتين are واحد
+
+80
+00:08:40,110 --> 00:08:48,620
+وخمسة وسبعة وخمسة وتلاتين في غيرهم؟طيب الان العنصر
+
+81
+00:08:48,620 --> 00:08:54,160
+مشان يكون في ال intersection في كل منها في التنتين
+
+82
+00:08:54,160 --> 00:08:57,800
+إذا في كل منها يعني ال order له في ال subgroup
+
+83
+00:08:57,800 --> 00:09:00,700
+الأولى هو نفس ال order له في ال subgroup التاني
+
+84
+00:09:00,700 --> 00:09:06,480
+طبعا طيب مشان يكون ال element موجود في التنتين وله
+
+85
+00:09:06,480 --> 00:09:10,400
+نفس ال order أين العنصر المشترك أو أين الرقم
+
+86
+00:09:10,400 --> 00:09:20,300
+المشترك مافيش إلا هذاكذاماشي انا موافق معاك بقولك
+
+87
+00:09:20,300 --> 00:09:25,440
+بدي احل بلغة هذا chapter تمام يعني انا بدي احل ان
+
+88
+00:09:25,440 --> 00:09:30,040
+ال order لل element بيقسم ال order للي group يام
+
+89
+00:09:30,040 --> 00:09:33,900
+هاي الفكرة الأساسية عندي في الحل مابديش احل بالطرق
+
+90
+00:09:33,900 --> 00:09:38,760
+اللي السابقة تبعت ال cyclic وغيره تمام إذا لا يوجد
+
+91
+00:09:38,760 --> 00:09:43,680
+عندي عنصر مشترك فيما بينهما إلا ال identity
+
+92
+00:09:43,680 --> 00:09:46,800
+element لأن ال identity element ال order له يسوى
+
+93
+00:09:46,800 --> 00:09:56,550
+جدايساوي واحد يبقى هنا so ال h intersection k بده
+
+94
+00:09:56,550 --> 00:10:05,230
+يساوي ال identity because السبب ان ال one هذا is
+
+95
+00:10:05,230 --> 00:10:11,650
+the common order
+
+96
+00:10:11,650 --> 00:10:14,190
+between
+
+97
+00:10:17,840 --> 00:10:27,580
+the given orders تمام؟يبقى بناء عليه هذا بدي
+
+98
+00:10:27,580 --> 00:10:31,840
+يعطينا ان ال order لل each intersection كيف بدي
+
+99
+00:10:31,840 --> 00:10:33,460
+يساوي قداشر بدي بدي بدي بدي بدي بدي بدي بدي بدي
+
+100
+00:10:33,460 --> 00:10:39,260
+بدي بدي بدي بدي بدي بدي بدي بدي بدي بدي بدي بدي
+
+101
+00:10:39,260 --> 00:10:39,360
+بدي بدي بدي بدي بدي بدي بدي بدي بدي بدي بدي بدي
+
+102
+00:10:39,360 --> 00:10:39,360
+بدي بدي بدي بدي بدي بدي بدي بدي بدي بدي بدي بدي
+
+103
+00:10:39,360 --> 00:10:40,320
+بدي بدي بدي بدي بدي بدي بدي بدي بدي بدي بدي بدي
+
+104
+00:10:40,320 --> 00:10:43,120
+بدي بدي بدي بدي بدي بدي بدي بدي بدي بدي بدي بدي
+
+105
+00:10:43,120 --> 00:10:43,120
+بدي بدي بدي بدي بدي بدي بدي بدي بدي بدي بدي بدي
+
+106
+00:10:43,120 --> 00:10:43,120
+بدي بدي بدي بدي بدي بدي بدي بدي بدي بدي بدي بدي
+
+107
+00:10:43,120 --> 00:10:51,360
+بدي بدي
+
+108
+00:10:51,360 --> 00:10:51,360
+بدي
+
+109
+00:10:54,550 --> 00:11:02,710
+تعميم هذه الحالة فبجي بقوله if ال order لل H بده
+
+110
+00:11:02,710 --> 00:11:12,810
+يساوي ال M and ال order لل K بده يساوي ال N and ال
+
+111
+00:11:12,810 --> 00:11:19,370
+M او ال greatest common divisor لل M و ال N بده
+
+112
+00:11:19,370 --> 00:11:23,690
+يساوي واحد يعني اثنين are relatively prime then
+
+113
+00:11:25,700 --> 00:11:31,240
+الـ H intersection K الـ order لها يساوي مين؟
+
+114
+00:11:31,240 --> 00:11:39,160
+يساوي واحد صحيح على أي حال هذا كان سؤال عشرين سؤال
+
+115
+00:11:39,160 --> 00:11:47,320
+اتنين وعشرين سؤال اتنين وعشرين بيقول ما يأتيالـ 22
+
+116
+00:11:47,320 --> 00:11:56,260
+بقول افترض H و K subgroups are type and there are
+
+117
+00:11:56,260 --> 00:12:02,000
+elements A و B and G بحيث ان يبقى انا عندي ال H
+
+118
+00:12:02,000 --> 00:12:09,100
+subgroup من G و ال K subgroup من Gوعندي two
+
+119
+00:12:09,100 --> 00:12:15,760
+elements وعندي ال a و ال b موجودة في g وعندي كذلك
+
+120
+00:12:15,760 --> 00:12:25,220
+ايضا ان ال a h كلفتكه subset من ال bk subset من ال
+
+121
+00:12:25,220 --> 00:12:35,540
+bk اثبتلي ان ال h هذه ال subset من من من k
+
+122
+00:12:56,050 --> 00:13:00,590
+H subgroup من G وK subgroup من G واخدت two
+
+123
+00:13:00,590 --> 00:13:04,930
+elements من H وضرب الأول في H وضرب الثاني في K
+
+124
+00:13:04,930 --> 00:13:11,570
+فحصلنا على two left cosets ال two left cosets صار
+
+125
+00:13:11,570 --> 00:13:17,790
+اللي طلع عند ال A H subset من من B K بقول إن حدث
+
+126
+00:13:17,790 --> 00:13:24,710
+ذلك أثبت أن ال H بدأ تكون A subset من Kبقوله كويس
+
+127
+00:13:24,710 --> 00:13:28,130
+احنا اتعلمنا فيه مبادئ الرياضية مشان اثبت ان ال 6
+
+128
+00:13:28,130 --> 00:13:32,170
+sub 6 من التانية باخد element في هذا ال 6 و بأثبت
+
+129
+00:13:32,170 --> 00:13:36,590
+انه موجود وان في ال 6 ان حدث ذلك يبقى بقول هذا a
+
+130
+00:13:36,590 --> 00:13:44,370
+هذا sub group طيب الان نمسك الأولى الان ال a موجود
+
+131
+00:13:44,370 --> 00:13:48,650
+في ال h صح؟
+
+132
+00:13:48,650 --> 00:13:49,790
+and
+
+133
+00:13:52,040 --> 00:13:59,500
+الـ A H subset من الـ BK هذا إيش معناته؟ معناته إن
+
+134
+00:13:59,500 --> 00:14:07,700
+الـ A موجودة في الـ BK يعني معناة هذا الكلام إن
+
+135
+00:14:07,700 --> 00:14:16,260
+الـ A بدها تساوي BK1 for some K1 اللي موجودة في
+
+136
+00:14:16,260 --> 00:14:17,000
+كبتال K
+
+137
+00:14:20,790 --> 00:14:25,810
+طب لو أخدت معكوس تبعها بيكون موجود هناك ولا بيكون
+
+138
+00:14:25,810 --> 00:14:32,530
+يسوي معكوس الطرف اليامينيبقى هنا لو أخدت ال a
+
+139
+00:14:32,530 --> 00:14:39,870
+inverse بده يساوي ال bk .. بده يساوي bk one
+
+140
+00:14:39,870 --> 00:14:45,890
+inverse يعني k one inverse b inverse لإنه مجليش
+
+141
+00:14:45,890 --> 00:14:51,470
+قبيل يعني طب سيب هالمعلومة هذه ع الشجة و تعالي ..
+
+142
+00:14:51,470 --> 00:14:56,390
+و تعالي نشوف أشي اللي بدنا احنا بدنا نثبت ان h هذه
+
+143
+00:14:56,390 --> 00:15:01,200
+subset من kيبقى انا اذهب واخد element موجود في H
+
+144
+00:15:01,200 --> 00:15:05,720
+واشوف ايش اللي بده يصير الان لو جيت قلت له let
+
+145
+00:15:05,720 --> 00:15:14,620
+اللي هو من let ال X موجودة وين؟ موجودة في H انقدرت
+
+146
+00:15:14,620 --> 00:15:20,980
+اثبتله ان ال X هذه موجودة في K بتم المطلوب خلاص
+
+147
+00:15:20,980 --> 00:15:28,050
+بصير ال H هذه صبست من من؟ صبست من Kطيب ال X هذه
+
+148
+00:15:28,050 --> 00:15:35,490
+لما تبقى موجودة في H لو ضربتها في A ال A X وين
+
+149
+00:15:35,490 --> 00:15:43,450
+بتكون موجودة؟ في ال A H في ال A H طب ال A H subset
+
+150
+00:15:43,450 --> 00:15:52,960
+من مين؟ من BK A H هذه هي subset من ال BKمعنى هذا
+
+151
+00:15:52,960 --> 00:16:00,880
+الكلام ان ال ax موجودة في ال bk هذا معناه ان ال ax
+
+152
+00:16:00,880 --> 00:16:05,320
+موجودة في ال bk
+
+153
+00:16:07,480 --> 00:16:18,720
+طيب معناه هذا الكلام ان ال AX بده يساوي من BK2 for
+
+154
+00:16:18,720 --> 00:16:28,660
+some K2 اللي موجودة وين في كبتل K طب انا بده X
+
+155
+00:16:31,340 --> 00:16:35,400
+نضرب في ال A inverse يبقى شفت ايش السر في الموضوع
+
+156
+00:16:35,400 --> 00:16:40,480
+هنا انا جبت A inverse و تركتها قلت الله خليك هنا و
+
+157
+00:16:40,480 --> 00:16:45,120
+روحت و خليتها يبقى انا من المعادلة هذه ها ها بدي
+
+158
+00:16:45,120 --> 00:16:53,150
+احاول اجيب قداش شكل ال X يبقى هذا معناهإنه ال X
+
+159
+00:16:53,150 --> 00:16:58,510
+بده يساوي يبقى بدى أضرب في A inverse من جهة الشمال
+
+160
+00:16:58,510 --> 00:17:07,510
+يبقى ال X بدها ساوي A inverse B A inverse B K2
+
+161
+00:17:10,280 --> 00:17:16,320
+طيب هذه لو جيت سميتها star المعادلة الأولانية إذا
+
+162
+00:17:16,320 --> 00:17:22,840
+بدي أشيل ال A inverse اللي عندنا بدي أحط بدلها K1
+
+163
+00:17:22,840 --> 00:17:29,160
+inverse B inverse يبقى هذا الكلام بده يساوي K1
+
+164
+00:17:29,160 --> 00:17:37,840
+inverse B inverse BK2 هذا الكلام from star
+
+165
+00:17:44,410 --> 00:17:49,870
+هذا الـ element هو معكس و ليس يعطينا الـ identity
+
+166
+00:17:49,870 --> 00:17:54,070
+يبقى هذا الـ element يعطينا K1 inverse في الـ
+
+167
+00:17:54,070 --> 00:17:59,250
+identity في الـ K2 يبقى هذا الـ element يعطينا X
+
+168
+00:17:59,250 --> 00:18:08,340
+يساوي K1 inverse K2الان K1 inverse و K2 موجودة و K
+
+169
+00:18:08,340 --> 00:18:15,580
+sub group يبقى حاصل ضربه موجود في K إذا هذا موجود
+
+170
+00:18:15,580 --> 00:18:23,180
+في كبتل K يبقى X اللي أخدها في Hلجتها موجودة وين؟
+
+171
+00:18:23,180 --> 00:18:28,800
+في K يبقى معنى هذا الكلام ال H subset من من من K
+
+172
+00:18:28,800 --> 00:18:36,160
+يبقى thus وهكذا ال H عبارة عن subset من من subset
+
+173
+00:18:36,160 --> 00:18:37,980
+من K وهو المطلوب
+
+174
+00:18:41,730 --> 00:18:47,570
+كل الفكرة في البرهان انك تجيب ال a inverse يبقى
+
+175
+00:18:47,570 --> 00:18:53,570
+هذا بس اللغز في السؤال والباقى كله direct proof
+
+176
+00:18:53,570 --> 00:18:55,890
+يعني برهانا مباشرا
+
+177
+00:19:02,690 --> 00:19:09,370
+طيب هذا كان سؤال اتنين و عشرين احنا
+
+178
+00:19:09,370 --> 00:19:16,250
+حلنا سؤال ستة و عشرين مثال بنروح لسؤال مثلا واحد و
+
+179
+00:19:16,250 --> 00:19:23,600
+تلاتين سؤال واحد و تلاتينسؤال واحد و تلاتين بيقول
+
+180
+00:19:23,600 --> 00:19:32,400
+H و K subgroups الـ H و الـ K subgroups من G و الـ
+
+181
+00:19:32,400 --> 00:19:42,000
+G finite هذه group و كذلك الـ H subset من K و الـ
+
+182
+00:19:42,000 --> 00:19:49,460
+K subset من من؟ subset من الـ G itself prove that
+
+183
+00:19:49,460 --> 00:20:01,660
+proveان ال index بتابع ال HNG بده ساوي ال index
+
+184
+00:20:01,660 --> 00:20:12,300
+بتابع ال KNG مضروبا في ال index بتابع ال HNK
+
+185
+00:20:17,950 --> 00:20:24,090
+يعني عدد ال lift corsets اللي هنا مضروب
+
+186
+00:20:24,090 --> 00:20:27,970
+في عدد ال lift corsets اللي عندنا خلينا نمسك الطرف
+
+187
+00:20:27,970 --> 00:20:31,510
+اليمين و نشوف إذا بنقدر نوصل للطرف الشمال بيتم
+
+188
+00:20:31,510 --> 00:20:38,730
+المطلوب الان أنا بدأ أخد ال index بتابع ال K في G
+
+189
+00:20:38,730 --> 00:20:44,690
+في ال index بتابع ال H في وين في K بالشكل اللي
+
+190
+00:20:44,690 --> 00:20:52,440
+عندناحسب تعريف ال index هذا كم بيساوي ال order تبع
+
+191
+00:20:52,440 --> 00:20:57,980
+ال G على ال order تبع ال K هذا ال order بتبع ال G
+
+192
+00:20:57,980 --> 00:21:03,940
+على ال order بتبع ال K مضروب في هذا بنفس الطريقة
+
+193
+00:21:03,940 --> 00:21:10,120
+ال order بتبع ال K على ال order بتبع ال H ال order
+
+194
+00:21:10,120 --> 00:21:14,690
+هذا أرقام real numberأو positive real number يبقى
+
+195
+00:21:14,690 --> 00:21:19,550
+هذا مع هذا الله يسهل عليه يبقى بيظل ال order لل G
+
+196
+00:21:19,550 --> 00:21:24,810
+على ال order لمين لل H ال order لل G على ال R هو
+
+197
+00:21:24,810 --> 00:21:29,490
+تعريف ال index اللي احنا قاعدين ندور عليه يبقى هذا
+
+198
+00:21:29,490 --> 00:21:35,090
+الكلام بده يساوي ال index تبع ال H in G وهو
+
+199
+00:21:35,090 --> 00:21:36,450
+المطلوب
+
+200
+00:21:40,070 --> 00:21:43,970
+هذا سؤال واحد و تلاتين خمسة و تلاتين طبعا حلنا
+
+201
+00:21:43,970 --> 00:21:55,180
+مثال خد سؤال اربعينبهم شراري الـ G abelian و ال N
+
+202
+00:21:55,180 --> 00:21:59,860
+بيه positive integer و relative ل prime لل order
+
+203
+00:21:59,860 --> 00:22:09,340
+بتابع ال G يبقى سؤال اربعين أسيوم افترض ان ال
+
+204
+00:22:09,340 --> 00:22:17,860
+order ل G بده يساوي ال M تمام؟والن بيه positive
+
+205
+00:22:17,860 --> 00:22:24,020
+integer
+
+206
+00:22:24,020 --> 00:22:30,860
+that is relative to prime للأرضة والجريس common
+
+207
+00:22:30,860 --> 00:22:40,200
+divisor للن وم بده يساوي الواحد الصحيحوبيل لي ان
+
+208
+00:22:40,200 --> 00:22:51,700
+الدالة فاي من جي إلى جي defined by اللي هي فاي of
+
+209
+00:22:51,700 --> 00:22:57,400
+a بدى يساوي a to the power n is an atomorphism
+
+210
+00:23:04,310 --> 00:23:07,730
+يبقى هذا رابط لل chapter اللى فات مع هذا ال
+
+211
+00:23:07,730 --> 00:23:13,900
+chapter شوف الفكرة في الموضوعالفكرة في الموضوع أن
+
+212
+00:23:13,900 --> 00:23:17,900
+نثبت حكاية أن الـ Phi هذي one to one و الـ Ont هو
+
+213
+00:23:17,900 --> 00:23:22,340
+تخدم خاصية الـ isomorphism طبعا جي قال لي أبي لين
+
+214
+00:23:22,340 --> 00:23:26,300
+يبقى حكاية ال isomorphism سهلة و ال Ont سهلة
+
+215
+00:23:26,300 --> 00:23:30,860
+المشكلة وين؟ المشكلة بس في ال one to one طب مشان
+
+216
+00:23:30,860 --> 00:23:35,780
+نثبت one to one بدك تلاحظ ما يأتي هذه معلومة بدى
+
+217
+00:23:35,780 --> 00:23:40,180
+أستفيد منهالما يقول ال N و ال M لجرس ال common
+
+218
+00:23:40,180 --> 00:23:47,380
+divisor يبقى حلاجي أعداد الأعداد هذه عبارة عن
+
+219
+00:23:47,380 --> 00:23:56,760
+ماين؟ عبارة عن N مثلا في T زائد M في S كله سيسوو
+
+220
+00:23:56,760 --> 00:24:01,980
+الواحدة الصحيح خلّي هذه المعلومة عندك و سأثبت له ف
+
+221
+00:24:01,980 --> 00:24:08,940
+I is one to oneيبقى بدي اقوله ا assume افترض انه
+
+222
+00:24:08,940 --> 00:24:15,000
+five of a بده يسوى five of b يبقى هذا a to the
+
+223
+00:24:15,000 --> 00:24:19,980
+power n بده يسوى b to the power m بدي احاول اثبتله
+
+224
+00:24:19,980 --> 00:24:29,480
+ان ال a تسوى ال b طيب خد الآن ال aيعني A أس جداري
+
+225
+00:24:29,480 --> 00:24:40,150
+يبقى هذه بدها تساوي A أس N T زائد M Sتمام يبقى هذه
+
+226
+00:24:40,150 --> 00:24:48,330
+بدها تساوي A أُس N T في A أُس M S يعني بدها تساوي
+
+227
+00:24:48,330 --> 00:24:57,810
+A أُس N أُس T في ال A أُس M كله أُس S ويساوي خلي
+
+228
+00:24:57,810 --> 00:25:04,830
+بالك هناالحين هذي بدي أخليها زي ما هي A أُس N أُس
+
+229
+00:25:04,830 --> 00:25:12,490
+T وهذه A أُس M مقدش هذي ال order اللي يجي يسوى أي
+
+230
+00:25:12,490 --> 00:25:15,970
+element من G أرفع على الأُس M بدي يسوى ال identity
+
+231
+00:25:15,970 --> 00:25:23,430
+يبقى هذا بيعطيني ال identity أُس Sهذا الكلام بده
+
+232
+00:25:23,430 --> 00:25:29,650
+يساوي الان a أُس n عندى تساوي كده بيه أُس m يبقى
+
+233
+00:25:29,650 --> 00:25:36,590
+هذه بقدر أقول بيه أُس n كله أُس T و هذه ال
+
+234
+00:25:36,590 --> 00:25:42,370
+identity بقدر أقول بيه أُس M لأن بيه موجود وين؟ في
+
+235
+00:25:42,370 --> 00:25:45,370
+ال group يبقى مرفوع لل أس تبع ال group بده يساوي
+
+236
+00:25:45,370 --> 00:25:52,480
+من ال identity أُس Sيبقى هذا الكلام يبدو يساوي بي
+
+237
+00:25:52,480 --> 00:26:01,860
+أس انت في بي أس MS هذا يبدو يعمل بي أس انت انت
+
+238
+00:26:01,860 --> 00:26:09,120
+زائد MS يبقى بي أس واحد يبقى بناء عليه أصبح ال A
+
+239
+00:26:09,120 --> 00:26:14,090
+يساوي بي لذلك ال function هذههذه one to one طبعا
+
+240
+00:26:14,090 --> 00:26:16,610
+لو كانت ايه تربيع تساوي بيه تربيع بنقوله يبقى ايه
+
+241
+00:26:16,610 --> 00:26:19,930
+تساوي بيه دغري تاك ايه بنقوله دغري لكن قص ان الله
+
+242
+00:26:19,930 --> 00:26:25,210
+أعلم يبقى هنا بصير العملية شاقة شوية على اي حال
+
+243
+00:26:25,210 --> 00:26:29,350
+ضلت الحكاية on two سهلة جدا مدام هي ال G finite
+
+244
+00:26:29,350 --> 00:26:33,930
+one to one يبقى on two طبيعي خاصية ال isomorphism
+
+245
+00:26:33,930 --> 00:26:40,090
+phi ofاب لكل N يسوى ANBN يبقى Phi of A في Phi of B
+
+246
+00:26:40,090 --> 00:26:43,130
+وانتهينا من القصة هذه
+
diff --git a/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/zMwkCWnM9Z8_raw.srt b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/zMwkCWnM9Z8_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..7a0e1789a695befbd7af199577ae352ab428ade0
--- /dev/null
+++ b/PL9fwy3NUQKwZKOpj354PRgwYPWWgxchnI/zMwkCWnM9Z8_raw.srt
@@ -0,0 +1,1284 @@
+1
+00:00:20,650 --> 00:00:24,970
+بسم الله الرحمن الرحيم المرة اللى فاترة بدأنا في
+
+2
+00:00:24,970 --> 00:00:30,070
+chapter 8 اللى هو ال external direct product عرفنا
+
+3
+00:00:30,070 --> 00:00:34,010
+ال external direct product و أخذنا على ذلك بعض
+
+4
+00:00:34,010 --> 00:00:38,950
+الأمثلة ثم ذهبنا إلى أول نظرية على ال external
+
+5
+00:00:38,950 --> 00:00:44,030
+direct product وهو تحديد ال order لل element
+
+6
+00:00:44,030 --> 00:00:47,790
+المكون من ال external direct product بين two
+
+7
+00:00:47,790 --> 00:00:53,560
+groups أو أكثرفأقول النظرية بتقول أنه لو كان عندي
+
+8
+00:00:53,560 --> 00:00:58,720
+group G و group H عملنا ال external direct product
+
+9
+00:00:58,720 --> 00:01:03,280
+ما بين ال G و ال H يبقى أي element في ال external
+
+10
+00:01:03,280 --> 00:01:07,200
+direct product ال order له يسوي least common
+
+11
+00:01:07,200 --> 00:01:11,200
+multiple لمن ال order للمركبة الأولى و order
+
+12
+00:01:11,200 --> 00:01:16,580
+المركبة الثانية هذا بيعطينا ال order لل element
+
+13
+00:01:16,580 --> 00:01:21,090
+اللي موجود في ال external direct productطبعا هناخد
+
+14
+00:01:21,090 --> 00:01:28,550
+بعض الأمثلة على ذلك ونبدأ بالمثال الأول يبقى
+
+15
+00:01:28,550 --> 00:01:36,770
+example one يقول
+
+16
+00:01:36,770 --> 00:01:41,410
+find نمر
+
+17
+00:01:41,410 --> 00:01:52,970
+ايه نبدأ ال order لست و تمانيةنمر ب .. نمر ب ال
+
+18
+00:01:52,970 --> 00:02:02,990
+order لخمسة و خمسة كذلك كل هذا in the group in the
+
+19
+00:02:02,990 --> 00:02:10,890
+group في ال group اللي عندنا ليه z8 external
+
+20
+00:02:10,890 --> 00:02:14,890
+product مع مين مع z12
+
+21
+00:02:27,920 --> 00:02:32,840
+خلّى بلاك هنا جالى يشوف لقداش الارض لل element 6
+
+22
+00:02:32,840 --> 00:02:38,600
+و8 ايه اللى موجود في الاكسيدين نضايق افرادك z8 مع
+
+23
+00:02:38,600 --> 00:02:43,700
+مين مع z12 واضح ان ال component الاول اللى هى 6
+
+24
+00:02:43,700 --> 00:02:49,280
+بتكون مع مين في ال group اللى هى z8 و ال component
+
+25
+00:02:49,280 --> 00:02:54,380
+التانى اللى هى 8 بتكون موجودة في ال group z12 اذا
+
+26
+00:02:54,380 --> 00:03:01,870
+انا بدى اروحأدور على ال order لمين لستة و تمانية
+
+27
+00:03:01,870 --> 00:03:06,930
+يبقى هو ال least common multiple لل order تبع
+
+28
+00:03:06,930 --> 00:03:12,150
+الستة و ال order تبع التمانية و كل واحد في ال
+
+29
+00:03:12,150 --> 00:03:19,620
+group تبعه الآن بدي أجي لستةيبقى هذا الكلام بدي
+
+30
+00:03:19,620 --> 00:03:24,340
+يساوي ال least common multiple لمن؟ لأبصر من؟ بدي
+
+31
+00:03:24,340 --> 00:03:32,080
+ال order لستة في من؟ في z تمانية يلا بدي ال order
+
+32
+00:03:32,080 --> 00:03:37,380
+لستة في z تمانية طبعا z تمانية zero واحد اتنين
+
+33
+00:03:37,380 --> 00:03:42,340
+تلاتة لغاية تمانية ايوة كده اش؟ اربعة ممتاز جدا
+
+34
+00:03:42,340 --> 00:03:48,410
+يبقى ال order لستة هو اربعةهذا وين في زي التمانية
+
+35
+00:03:48,410 --> 00:03:52,090
+لإن الأربع في الستة باربع وعشرين هي مضاعفات
+
+36
+00:03:52,090 --> 00:03:58,170
+التمانية وهو أول أس بضربه في ستة بيعطينا مين
+
+37
+00:03:58,170 --> 00:04:02,950
+بيعطينا zero لإن ال identity element بدي أجيل ال
+
+38
+00:04:02,950 --> 00:04:09,180
+order تمانية في الأتناشبرضه تلاتة لان تلاتة في
+
+39
+00:04:09,180 --> 00:04:14,680
+تمانية باربعة وعشرين مضاعفات اتناش يبقى ال least
+
+40
+00:04:14,680 --> 00:04:18,280
+common multiple للاربعة والتلاتة اللي هو الاتناش
+
+41
+00:04:18,280 --> 00:04:23,120
+وبالتالي ال order لستة و تمانية عبارة عن اتناش
+
+42
+00:04:23,120 --> 00:04:29,220
+بمعنى ستة و تمانية لو حطيتها لل أس اتناش هذا اللي
+
+43
+00:04:29,220 --> 00:04:34,620
+بتعطينا من ال identity element وهو اول رقم بحطه ك
+
+44
+00:04:34,620 --> 00:04:38,940
+أس لستة و تمانيةبيعطينا الـ Main الـ Identity الـ
+
+45
+00:04:38,940 --> 00:04:43,260
+Main الان انا اخدت الـ 6 و 8 are not relative
+
+46
+00:04:43,260 --> 00:04:48,200
+prime لل 8 و 12 يعني ال 6 ماهياش relative prime مع
+
+47
+00:04:48,200 --> 00:04:54,120
+ال 8 وال 8 ماهياش relative prime مع Main مع ال 12
+
+48
+00:04:54,120 --> 00:04:55,180
+تعالى نشوف ال B
+
+49
+00:05:03,720 --> 00:05:07,440
+الخامسة الأولى تختلف عن الخامسة التانية لأن
+
+50
+00:05:07,440 --> 00:05:11,620
+الخامسة الأولى موجودة في Z8 و الخامسة التانية
+
+51
+00:05:11,620 --> 00:05:17,500
+موجودة في Z12 يبقى هذا ال lease common multiple لل
+
+52
+00:05:17,500 --> 00:05:23,780
+order بتابع الخامسةوال order كذلك بتبع الخمسة يبقى
+
+53
+00:05:23,780 --> 00:05:28,640
+least common multiple ليه؟ الآن الخمسة element
+
+54
+00:05:28,640 --> 00:05:35,440
+موجود في z تمانية جداش ال order إله؟ أي رقم في z
+
+55
+00:05:35,440 --> 00:05:40,260
+تمانية relatively prime مع تمانية ال order إله جد
+
+56
+00:05:40,260 --> 00:05:48,420
+تمانية وهو generator يبقى هذا برضه جداش تمانيةالان
+
+57
+00:05:48,420 --> 00:05:52,940
+الخمسة التانية relatively prime مع مين مع الاطناش
+
+58
+00:05:52,940 --> 00:05:58,620
+يبقى ال order لها كذلك يساوي كده؟ يساوي الاطناش
+
+59
+00:05:58,620 --> 00:06:03,140
+يبقى انا بدي least common multiple لتمانية ولا
+
+60
+00:06:03,140 --> 00:06:09,820
+اتناش اللي هو كده؟ اتناش ولا ستاش ال least common
+
+61
+00:06:09,820 --> 00:06:14,740
+multiple يعني لا تمانية ولا ستاش ولا اتناش كمان
+
+62
+00:06:17,520 --> 00:06:23,380
+يبقى ال order لهذا ال element يساوي 24 بمعنى خمسة
+
+63
+00:06:23,380 --> 00:06:27,980
+وخمسة لو بدأت أحط له أس واحد اتنين تلاتة لن أصل
+
+64
+00:06:27,980 --> 00:06:33,020
+إلى ال zero zero إلا بعد ما أوصل للأس اللي هو جداش
+
+65
+00:06:33,020 --> 00:06:37,620
+اللي هو أربعة وعشرين طيب هذا يعتبر من الأمثلة
+
+66
+00:06:37,620 --> 00:06:43,980
+البسيطة جدا انتجلي شويةيبقى بدنا نروح لل example
+
+67
+00:06:43,980 --> 00:06:50,180
+two example two بيقول لي ماتي how many number of
+
+68
+00:06:50,180 --> 00:07:03,380
+elements how many number of elements of
+
+69
+00:07:03,380 --> 00:07:17,990
+order of order fivein the group في ال group اللي
+
+70
+00:07:17,990 --> 00:07:25,630
+هي main اللي هي z خمسة وعشرين external product
+
+71
+00:07:25,630 --> 00:07:30,170
+product مع main مع z خمسة
+
+72
+00:07:45,850 --> 00:07:51,450
+خلّي ملاك اش بقول بقول هاتلي عدد العناصر اللي
+
+73
+00:07:51,450 --> 00:07:56,050
+موجودة في ال group z خمسة وعشرين كسنة ذاك product
+
+74
+00:07:56,050 --> 00:08:00,470
+مع z خمسة و اللي ال order إلها بيكون يسوى كده؟
+
+75
+00:08:00,470 --> 00:08:04,430
+يسوى خمسة، جاب المبدأ ال group هذه كام عنصر فيها
+
+76
+00:08:04,430 --> 00:08:10,110
+يا شباب؟ كده؟ مية و خمسة و عشرين اللي هو ال order
+
+77
+00:08:10,110 --> 00:08:13,840
+للأولى ضرب ال order للتانية بيعطيني كام عنصريبقى
+
+78
+00:08:13,840 --> 00:08:17,240
+انا عندى في هذى ال group مية و خمسة و عشرين عنصر
+
+79
+00:08:17,240 --> 00:08:22,540
+بدى ادور قداش عدد العناصر في هذى ال group اللى ال
+
+80
+00:08:22,540 --> 00:08:27,560
+order لهم بدى يساوي كدهش بدى يساوي خمسة يبقى بداجى
+
+81
+00:08:27,560 --> 00:08:36,930
+اقوله assume افترضassume ان ال a و ال b اللي
+
+82
+00:08:36,930 --> 00:08:41,350
+موجودة في ال z خمسة و عشرين external direct
+
+83
+00:08:41,350 --> 00:08:53,010
+product مع z خمسة has order خمسة that is in ال
+
+84
+00:08:53,010 --> 00:09:00,720
+order لل a و ال b بده يساوي كده؟ بده يساوي خمسةطب
+
+85
+00:09:00,720 --> 00:09:05,260
+ال order لهذا يعني مين؟ least common multiple يبقى
+
+86
+00:09:05,260 --> 00:09:14,840
+هذا يعني ان ال order لل a و ال b بده يساوي خمسة
+
+87
+00:09:14,840 --> 00:09:20,780
+اللي هو least common multiple لل order تبع ال a و
+
+88
+00:09:20,780 --> 00:09:23,480
+ال order تبع ال b
+
+89
+00:09:25,940 --> 00:09:29,760
+أنا افترض ان عنصر A وB موجود في الـ external
+
+90
+00:09:29,760 --> 00:09:35,880
+product ال order له يساوي خمسة من هذا الكلام دول
+
+91
+00:09:35,880 --> 00:09:42,500
+هطلع اكم عدد او اكم عنصر على شكل A وB ال order لهم
+
+92
+00:09:42,500 --> 00:09:47,360
+يساوي خمسة بس في معلومة هيها بدي استفيد منها ان
+
+93
+00:09:47,360 --> 00:09:51,500
+الخمسة هي ال least common multiple لل order بتابع
+
+94
+00:09:51,500 --> 00:09:58,040
+ال A و ال order بتابع ال Bخمسة و واحد و واحد و
+
+95
+00:09:58,040 --> 00:10:03,500
+خمسة طب و خمسة و خمسة يعني
+
+96
+00:10:03,500 --> 00:10:08,480
+كتر والحين طيب على أي حال هنجي نشوف الحالات
+
+97
+00:10:08,480 --> 00:10:18,860
+الممكنة في هذا الموضوع يبقى هنا we have
+
+98
+00:10:18,860 --> 00:10:21,760
+the following
+
+99
+00:10:30,470 --> 00:10:36,050
+Possibilities يبقى فيه عنا الاحتمالات الممكنة
+
+100
+00:10:36,050 --> 00:10:42,430
+التالية الاحتمال الأول ان ال order لل A بده يساوي
+
+101
+00:10:42,430 --> 00:10:51,270
+خمسة and ال order لل B بده يساوي خمسة ليش؟ هذا
+
+102
+00:10:51,270 --> 00:10:55,700
+بيعطينا ان ال least common multiple يساوي خمسةthat
+
+103
+00:10:55,700 --> 00:11:01,780
+is يعني انه ال list common multiple ل الخمسة او
+
+104
+00:11:01,780 --> 00:11:06,020
+خمسة اللي هو بده يسوي خمسة يعني ممكن يكون اذا بدي
+
+105
+00:11:06,020 --> 00:11:11,820
+ادور كم عنصر ال order اللي يسوي خمسة وين في ال
+
+106
+00:11:11,820 --> 00:11:19,530
+group الأولى يعني كم واحد بيطلعوناربع ممتازين هنا
+
+107
+00:11:19,530 --> 00:11:25,290
+حد بيقدر يعرفهم سهلات هدول يالا جيبولي واحد بس
+
+108
+00:11:25,290 --> 00:11:30,490
+وانا بجيبلكوا التالت كده؟ خمسة
+
+109
+00:11:30,490 --> 00:11:39,130
+وعشر وخمستاشر وعشرين في غيرهم يبقى هنا we have
+
+110
+00:11:39,130 --> 00:11:42,470
+four
+
+111
+00:11:42,470 --> 00:11:44,030
+possibilities
+
+112
+00:11:46,450 --> 00:11:50,590
+والله have a choices خليها أسالكوا في الكتابة شوية
+
+113
+00:11:50,590 --> 00:12:02,770
+we have four choices for a أربع خيارات لل a that
+
+114
+00:12:02,770 --> 00:12:11,050
+is اللي هما خمسة وعشرة وخمستاشر وعشرين أي واحد من
+
+115
+00:12:11,050 --> 00:12:17,960
+عناصر هدول ال order اللي بيسوي خمسة طيبالان نحتاج
+
+116
+00:12:17,960 --> 00:12:22,680
+ان نصل الى 10 ال order اللى يبدو يسوى خمسة بي هذا
+
+117
+00:12:22,680 --> 00:12:27,660
+موجود وين في ال z خمسة اكم element ال order اللى
+
+118
+00:12:27,660 --> 00:12:34,640
+يسوى خمسة بس واحد الواحد
+
+119
+00:12:34,640 --> 00:12:43,310
+في غيره طب و اتنين كيف اتنين لأ هذا primeيبقى كل
+
+120
+00:12:43,310 --> 00:12:47,410
+رقم فيها relatively prime مع الخمسة يعني كلهم ال
+
+121
+00:12:47,410 --> 00:12:51,690
+order له كل واحد فيهم يسوى خمسة صحيح ولا لا؟ لكن
+
+122
+00:12:51,690 --> 00:12:54,610
+لو ماكنتش prime بيجي القلاب اللي بتقوله بس كونه
+
+123
+00:12:54,610 --> 00:12:59,410
+prime automatic على طول الخط يبقى we have برضه
+
+124
+00:12:59,410 --> 00:13:06,320
+four choices for Bاللي هم الواحد والاتنين والتلاتة
+
+125
+00:13:06,320 --> 00:13:10,640
+والاربعة في شرم كل واحد ال order اللي يساوي خمسة
+
+126
+00:13:10,640 --> 00:13:16,020
+هاي that is الواحد والاتنين والتلاتة والاربعة طب
+
+127
+00:13:16,020 --> 00:13:20,460
+هدول اللي مابدي اكوّن منهم order pair جدوش بطلعوا
+
+128
+00:13:20,460 --> 00:13:25,260
+ستة عشر لإنه هذا هاخده مع الأربعة هدول يبقى يصار
+
+129
+00:13:25,260 --> 00:13:29,400
+أربعة والتاني أربعة والتالت أربعة والربعة أربعة من
+
+130
+00:13:29,400 --> 00:13:41,540
+الاتنين هدول بقول there is16 element of
+
+131
+00:13:41,540 --> 00:13:51,040
+order خمسة in z خمسة و عشرين external direct
+
+132
+00:13:51,040 --> 00:13:58,260
+product ل z خمسة طيب كويس هي أخدنا من الحالة
+
+133
+00:13:58,260 --> 00:14:03,910
+الأولى طيب الحالة الثانيةممكن يكون ال order ل a
+
+134
+00:14:03,910 --> 00:14:10,130
+بده يساوي واحد و ال order ل b بده يساوي خمسة يعني
+
+135
+00:14:10,130 --> 00:14:17,990
+that is ال least common multiple لل واحد و الخمسة
+
+136
+00:14:17,990 --> 00:14:23,110
+اللي هو خمسة إذا ممكن يبقى لما يكون ال order ل a
+
+137
+00:14:23,110 --> 00:14:29,680
+يساوي واحد أكم أنصر بيصير عندي أكم خيارواحد في
+
+138
+00:14:29,680 --> 00:14:33,560
+شريره إجباري اللي هو ال identity element يبقى هنا
+
+139
+00:14:33,560 --> 00:14:41,660
+ماجي بقول if ال order ل A بديه يسوي واحد we have
+
+140
+00:14:41,660 --> 00:14:49,220
+one choice one choice for A اللي هو ال identity
+
+141
+00:14:49,220 --> 00:14:56,540
+element if ال order ل B بديه يسوي خمسة we have
+
+142
+00:14:56,540 --> 00:15:04,360
+كدهش؟برضه اربعة choices for a و هذا as above كما
+
+143
+00:15:04,360 --> 00:15:12,240
+هو من فوق هذا بيعطيك كمانصر ال order pair كم واحد
+
+144
+00:15:12,240 --> 00:15:17,600
+اربعة لان هذا ال identity مع ال element الأول و ال
+
+145
+00:15:17,600 --> 00:15:20,200
+identity مع التاني و ال identity مع التالت و ال
+
+146
+00:15:20,200 --> 00:15:24,720
+identity مع الرابع يبقى اربعة عناصر هذا بيعطيني
+
+147
+00:15:24,720 --> 00:15:35,280
+there isاللي هو four elements of order خمسة هذا
+
+148
+00:15:35,280 --> 00:15:42,160
+بيعطيني أربعة طب الحالة التالتة لو كان ال order لل
+
+149
+00:15:42,160 --> 00:15:48,540
+a بده يساوي خمسة and ال order لل b بده يساوي واحد
+
+150
+00:15:48,540 --> 00:15:56,080
+يبقى that isإن ال least common multiple للخمسة
+
+151
+00:15:56,080 --> 00:16:00,500
+والواحد هو يساوي خمسة طيب يبقى ال element الأول
+
+152
+00:16:00,500 --> 00:16:07,460
+بيعطيني كام خيار أربعة والتاني واحد يبقى هنا we
+
+153
+00:16:07,460 --> 00:16:15,620
+have four choices for
+
+154
+00:16:15,620 --> 00:16:28,850
+a الآن التانيwe have one choice for B من الاتنين
+
+155
+00:16:28,850 --> 00:16:38,850
+هذول بنجي نقوله we have four elements of
+
+156
+00:16:38,850 --> 00:16:46,210
+order five فى غير هيك اذا
+
+157
+00:16:49,190 --> 00:17:03,270
+number of elements of order خمسة is الأولاني
+
+158
+00:17:03,270 --> 00:17:08,550
+جابتلي قداش ستة عشر والتاني جابتلي أربعة والتاله
+
+159
+00:17:08,550 --> 00:17:15,260
+جابتلي أربعة يبقى أربعة وعشرين elementsيبقى من
+
+160
+00:17:15,260 --> 00:17:20,960
+المائة وعشرين بلقى أربعة وعشرين element ال order
+
+161
+00:17:20,960 --> 00:17:28,840
+لهم يساوي خمسة يبقى
+
+162
+00:17:28,840 --> 00:17:36,480
+هذا المثال سهل عليه حساب بعد ذلك اللي هو حساب كم
+
+163
+00:17:36,480 --> 00:17:42,130
+element يحمل نفس ال order في ال group الواحدةنعطي
+
+164
+00:17:42,130 --> 00:17:47,710
+مثال آخر ونتجلي شوية بدل ما بدي ال elements اللي
+
+165
+00:17:47,710 --> 00:17:52,770
+بيحملوا نفس ال order بدي ال cyclic subgroups اللي
+
+166
+00:17:52,770 --> 00:17:59,510
+بيحملوا نفس ال order وهذا موضوع المثال رقم تلاتة
+
+167
+00:17:59,510 --> 00:18:06,130
+يبقى example تلاتة example
+
+168
+00:18:06,130 --> 00:18:13,280
+تلاتة بيقولي how many cyclic subgroups howmany
+
+169
+00:18:13,280 --> 00:18:29,040
+cyclic subgroups
+
+170
+00:18:29,040 --> 00:18:34,400
+of order عشرة
+
+171
+00:18:34,400 --> 00:18:40,120
+in زد مية
+
+172
+00:18:41,540 --> 00:18:49,140
+External Direct Product مع Z خمسة وعشرين هو Cyclic
+
+173
+00:18:49,140 --> 00:18:54,340
+Subgroup من أرض العشرة في Z مية كتير نصف Cyclic
+
+174
+00:18:54,340 --> 00:19:01,500
+Subgroup ل Z مية مع Z خمسة وعشرين
+
+175
+00:19:07,790 --> 00:19:12,410
+بقول ليش how many cyclic subgroups of order عشرة
+
+176
+00:19:12,410 --> 00:19:18,650
+in اللي هو z مية external product مع z خمسة وعشرين
+
+177
+00:19:18,650 --> 00:19:25,230
+هذه ال group كم element فيها شباب كدهش الفين
+
+178
+00:19:25,230 --> 00:19:30,910
+وخمسمية عنصر طبعا مية في خمسة وعشرين الفين وخمسمية
+
+179
+00:19:30,910 --> 00:19:35,410
+عنصر الان بقول لي how many cyclic subgroups of
+
+180
+00:19:35,410 --> 00:19:40,180
+order عشرةيعني بدى كل ال subgroup اللى فهمش الا
+
+181
+00:19:40,180 --> 00:19:46,280
+عشرة عناصر تمام ال order اللى يساوي عشرة بقول كويس
+
+182
+00:19:46,280 --> 00:19:52,100
+خلينى ادور انا لنص cyclic subgroup اذا خلينى ادور
+
+183
+00:19:52,100 --> 00:19:56,940
+مين هم ال elements اللى ال order اللى يساوي عشرة
+
+184
+00:19:56,940 --> 00:20:01,360
+ال elements اللى ال order اللى يساوي عشرة كل واحد
+
+185
+00:20:01,360 --> 00:20:07,470
+هيجيبلي cyclic subgroup مظبوطيبقى هنا firstly
+
+186
+00:20:07,470 --> 00:20:18,170
+أولاً firstly we shall find بدنا نحاول نجد the
+
+187
+00:20:18,170 --> 00:20:26,990
+elements of اللي هو z مية external like a product
+
+188
+00:20:26,990 --> 00:20:38,560
+مع z خمسة وعشرين with orderعشرة لذلك حاجة اقوله
+
+189
+00:20:38,560 --> 00:20:48,580
+assume افترض ان ال G و ال H موجودة في ال Z مية
+
+190
+00:20:48,580 --> 00:20:56,160
+stenotypic product مع Z خمسة و عشرين such that
+
+191
+00:20:56,160 --> 00:21:03,920
+بحيث ان ال order لل G و ال H بده يسوى عشر
+
+192
+00:21:09,300 --> 00:21:13,440
+قال لي هاتلي ال cyclic subgroups انا روحت قولله
+
+193
+00:21:13,440 --> 00:21:17,820
+بدي اجيب ال elements اللي ال order اللي لهم يساوي
+
+194
+00:21:17,820 --> 00:21:23,660
+عشرة لان كل ال elements هدول هم اللي بيجيبولي من
+
+195
+00:21:23,660 --> 00:21:27,820
+ال cyclic subgroups او هم اللي بيولولي كل ال
+
+196
+00:21:27,820 --> 00:21:35,120
+cyclic subgroups في هذه الحالة طيب
+
+197
+00:21:35,880 --> 00:21:45,860
+الان هذا الكلام بده يساوي ال least common multiple
+
+198
+00:21:45,860 --> 00:21:52,340
+لل order بتبع ال G و ال order بتبع ال H
+
+199
+00:21:58,220 --> 00:22:01,740
+موجود فى ال group اللى عندنا ال order اللى يساوي
+
+200
+00:22:01,740 --> 00:22:06,120
+عشرة و بيدروح ادور على ال list common multiples
+
+201
+00:22:06,120 --> 00:22:13,040
+اللى هو بيعطينى عشرة يبقى فى عندنا عدة حالات خمسة
+
+202
+00:22:13,040 --> 00:22:21,760
+نشوف خمسة ولا اكتر يبقى هروح بقوله we have the
+
+203
+00:22:21,760 --> 00:22:26,040
+following cases
+
+204
+00:22:28,360 --> 00:22:38,440
+الحالة الأولى ال order لل G ممكن يكون عشرة and ال
+
+205
+00:22:38,440 --> 00:22:48,260
+order لل H ممكن يكون واحد او خمسة صح ال order لل G
+
+206
+00:22:48,260 --> 00:22:52,880
+ممكن يكون عشرة و ال order لل H ممكن يكون واحد او
+
+207
+00:22:52,880 --> 00:22:56,980
+خمسة يعنيلو كان هذا عشرة او هذا واحد لجرس ال
+
+208
+00:22:56,980 --> 00:23:02,180
+common divisor يساوي عشرة لو كان هذا عشرة او هذا
+
+209
+00:23:02,180 --> 00:23:07,600
+خمسة لجرس ال common divisor يساوي عشرة
+
+210
+00:23:18,170 --> 00:23:23,830
+هل العشرة بتقسم الخمسة وعشرين ؟ إذا لا يمكن تلاقي
+
+211
+00:23:23,830 --> 00:23:30,010
+element order له يساوي عشرةعندما تعمل على مطب و لا
+
+212
+00:23:30,010 --> 00:23:34,310
+تقع فيه مطب و الحين ستقع فيه مطب بعد قليل ان شاء
+
+213
+00:23:34,310 --> 00:23:38,870
+الله و نشلك منه ان شاء الله بحيث ال element اللى
+
+214
+00:23:38,870 --> 00:23:42,710
+بدك تاخده ال order هذا بده يقسم ال order لل group
+
+215
+00:23:42,710 --> 00:23:46,290
+طبق ال algorithmic theorem و النتائج اللى عليها
+
+216
+00:23:46,290 --> 00:23:49,670
+انا لما أخدت ال order اللى جيه اللى هو عشرة على
+
+217
+00:23:49,670 --> 00:23:56,210
+عشرة بتقسم الميةالان اخذت هذه واحد او خمسة بتقسم
+
+218
+00:23:56,210 --> 00:24:01,490
+من الخمسة وعشرين بس لو اخذت هذه بعشرة لا يمكن تقسم
+
+219
+00:24:01,490 --> 00:24:07,370
+من الخمسة وعشرين وبالتالي لا يمكن الاقي order لبيه
+
+220
+00:24:07,370 --> 00:24:14,860
+يسوى من يساوي عشرنرجع لهنا ال order ل جي يساوي
+
+221
+00:24:14,860 --> 00:24:23,620
+عشرة كويس الان هذا بيجيبلي حسب chapter 4 unique
+
+222
+00:24:23,620 --> 00:24:29,720
+cyclic subgroup of order عشرة صحيح ولا لا يبقى هنا
+
+223
+00:24:29,720 --> 00:24:39,320
+ال order لل جي بدى يساوي عشرة gives you او give a
+
+224
+00:24:39,320 --> 00:24:46,180
+uniquecyclic subgroup
+
+225
+00:24:46,180 --> 00:24:50,080
+of
+
+226
+00:24:50,080 --> 00:24:58,180
+order عشرة that is مين هي هذه نرجع ل chapter أربعة
+
+227
+00:24:58,180 --> 00:25:03,040
+بجينا نقول بتروح تاخد المية اللي عندك على العشرة
+
+228
+00:25:05,100 --> 00:25:10,180
+عشرة يعني عشرة
+
+229
+00:25:10,180 --> 00:25:14,260
+عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة
+
+230
+00:25:14,260 --> 00:25:14,260
+عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة
+
+231
+00:25:14,260 --> 00:25:14,360
+عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة
+
+232
+00:25:14,360 --> 00:25:18,340
+عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة
+
+233
+00:25:18,340 --> 00:25:18,520
+عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة
+
+234
+00:25:18,520 --> 00:25:21,040
+عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة
+
+235
+00:25:21,040 --> 00:25:22,420
+عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة
+
+236
+00:25:22,420 --> 00:25:25,560
+عشرة عشرة
+
+237
+00:25:33,140 --> 00:25:37,720
+يعني ال order ليه عشرة في العشرة هي ال order ليه
+
+238
+00:25:37,720 --> 00:25:44,160
+عشرة مظبوط يبقى حالي أجي أربع أنصار فقط بولولي من؟
+
+239
+00:25:44,160 --> 00:25:54,860
+بولولي هذه ال group يبقى this group has four
+
+240
+00:25:54,860 --> 00:25:59,380
+generators four
+
+241
+00:25:59,380 --> 00:26:08,350
+generators ليش؟ that isاللي هو ال order ليه عشرة
+
+242
+00:26:08,350 --> 00:26:13,110
+أو ال five عشرة اللي هو قداش يساوي اللي هو يساوي
+
+243
+00:26:13,110 --> 00:26:19,650
+أربعة طيب كويس يعني معناه هذا الكلام عندي أربع
+
+244
+00:26:19,650 --> 00:26:25,050
+خيارات لهذه ال subgroup مظبوط طيب تعالى نشوف
+
+245
+00:26:25,050 --> 00:26:30,070
+التاني هذا هذا بتعطيني خيار واحدو هذه بتعطيني كام
+
+246
+00:26:30,070 --> 00:26:36,170
+خيار اربع خيارات يعني خمس خيارات طيب بدي اجيب و
+
+247
+00:26:36,170 --> 00:26:43,990
+اقوله and ال order لل each بدي ساوي واحد or خمسة
+
+248
+00:26:43,990 --> 00:26:49,090
+gives one
+
+249
+00:26:49,090 --> 00:26:54,690
+a choice for
+
+250
+00:26:56,370 --> 00:27:04,630
+order of each يساوي واحد and four choices واربع
+
+251
+00:27:04,630 --> 00:27:15,210
+خيارات for order of each يساوي خمسة that is and we
+
+252
+00:27:15,210 --> 00:27:20,910
+have خمسة
+
+253
+00:27:20,910 --> 00:27:25,610
+choices for each
+
+254
+00:27:27,270 --> 00:27:32,650
+طيب يبقى كام element في هذه حلبة سيارة؟ أربعة
+
+255
+00:27:32,650 --> 00:27:40,830
+لإيه؟ وخمسة لبيه يبقى عشرين أنصار يبقى هنا so the
+
+256
+00:27:40,830 --> 00:27:49,610
+element اللي قلنا عليه a g وh the element element
+
+257
+00:27:49,610 --> 00:27:53,330
+also
+
+258
+00:27:53,330 --> 00:27:54,450
+دور
+
+259
+00:27:56,480 --> 00:28:11,240
+we have اللي هو عشرين element of order عشرة n اللي
+
+260
+00:28:11,240 --> 00:28:19,740
+هو زد مية external product لزد خمسة و عشرين يبقى
+
+261
+00:28:19,740 --> 00:28:25,710
+الحالة الأولى هذه جبتلي جدارجبتلي عشرين answer
+
+262
+00:28:25,710 --> 00:28:33,210
+الان الحالة الثانية لو كان ال order لل G بده يساوي
+
+263
+00:28:33,210 --> 00:28:40,110
+اتنين and ال order لل H بده يساوي خمسة هل هذا
+
+264
+00:28:40,110 --> 00:28:45,070
+الكلام ممكن؟ نعم لإن اتنين بتقسم المية و ال H
+
+265
+00:28:45,070 --> 00:28:50,310
+بتقسم مين؟ بتقسم الخمسة بالضبط تمام الان شباب
+
+266
+00:28:50,310 --> 00:28:56,800
+اتنين بتقسم الميةصح؟ يبقى في عندي unique cyclic
+
+267
+00:28:56,800 --> 00:29:05,240
+subgroup يبقى implies we have اللي هو unique
+
+268
+00:29:05,240 --> 00:29:17,720
+cyclic subgroup اللي هي من ال 100 على ال 2 اللي هي
+
+269
+00:29:17,720 --> 00:29:22,840
+الخمسينالخمسين اكم انصر فيها دى اتنين ال order
+
+270
+00:29:22,840 --> 00:29:26,920
+يساوي اتنين الخمسين والمية بالزيرو يبقى ماعناشي
+
+271
+00:29:26,920 --> 00:29:32,660
+الا زيرو وخمسين يبقى we have a unique cyclic
+
+272
+00:29:32,660 --> 00:29:38,660
+subgroup اللى هى subgroup واحدةوهذه مافيهاش الا
+
+273
+00:29:38,660 --> 00:29:43,340
+element واحد اللى هو الخمسين ال order اللى يساوي
+
+274
+00:29:43,340 --> 00:29:49,840
+كده اتنين يعني ماعنديش الا element واحد فقط لغيره
+
+275
+00:29:49,840 --> 00:30:05,380
+يبقى so we have one element only of order اتنين
+
+276
+00:30:07,650 --> 00:30:16,550
+نجي اف ال order لل H بده يساوي كده؟ خمسة يعني عندى
+
+277
+00:30:16,550 --> 00:30:23,170
+كم خيار؟ اربع هم ايهم الخمسة عشر او خمستاشر يبقى
+
+278
+00:30:23,170 --> 00:30:34,650
+we have four choices for اللي هو ال H من الاتنين
+
+279
+00:30:34,650 --> 00:30:42,420
+هذول كده يكون عندىكم زوج مركب؟ حشرة؟ واحد و هنا
+
+280
+00:30:42,420 --> 00:30:46,200
+اربعة يبقى الواحد مع الاول مع التاني مع الرابع
+
+281
+00:30:46,200 --> 00:30:53,300
+يبقى اربعة عناصر يبقى هذا بدي يعطيني we have four
+
+282
+00:30:53,300 --> 00:30:59,280
+elements of order
+
+283
+00:31:16,180 --> 00:31:21,720
+الحالة التالتة لو كان ال order ل G خمسة و ال order
+
+284
+00:31:21,720 --> 00:31:22,860
+ل H و اتنين
+
+285
+00:31:28,040 --> 00:31:32,060
+منفعش يعني الارض لاتش يساوي اتنين اتنين لا تقسم
+
+286
+00:31:32,060 --> 00:31:36,140
+الخمسة وعشرين يبقى هذه الحالة غير موجودة مثل ما
+
+287
+00:31:36,140 --> 00:31:39,900
+واحد فيكوا قلي قبل شوية عشرة وعشرة عشرة وعشرة انسى
+
+288
+00:31:39,900 --> 00:31:44,480
+الموضوع يبقى هذا انسى إذا لا يوجد عندي إلا هاتين
+
+289
+00:31:44,480 --> 00:31:53,660
+الحالتين مصدوق؟ يبقى هنا the number
+
+290
+00:31:53,660 --> 00:32:07,390
+of elementsof order عشرة in z ميكس synodic product
+
+291
+00:32:07,390 --> 00:32:14,770
+مع z خمسة وعشرين is طلع هناك عشرين وجاني كمان
+
+292
+00:32:14,770 --> 00:32:18,830
+اربعة يبقى اربعة وعشرين element
+
+293
+00:32:23,390 --> 00:32:27,830
+يبقى فيه عندى اربع وعشرين element ال order يساوي
+
+294
+00:32:27,830 --> 00:32:34,770
+عشرة يبقى عندى اربع وعشرين cyclic subgroup of
+
+295
+00:32:34,770 --> 00:32:42,750
+order عشرة ردوا علي بس انا طالع عندى اربع وعشرين
+
+296
+00:32:42,750 --> 00:32:51,720
+عنصر ال order يساوي عشرة صح؟مظبوط 24 السؤال هو هل
+
+297
+00:32:51,720 --> 00:32:57,280
+هذا يعني انه عندي 24 cyclic subgroup of order عشرة
+
+298
+00:32:57,280 --> 00:33:08,780
+24
+
+299
+00:33:08,780 --> 00:33:14,170
+يعني عددهم طيب خلينا نسأل السؤال التاليالحلم يكون
+
+300
+00:33:14,170 --> 00:33:18,890
+عندي generator ال generator هذا مش بولد نفس ال
+
+301
+00:33:18,890 --> 00:33:24,450
+subgroup هدول فيهم generators و فيهم بعضهم معكوا
+
+302
+00:33:24,450 --> 00:33:29,990
+ستين صحيح ولا لأ طيب أكم generator في الواحدة
+
+303
+00:33:29,990 --> 00:33:34,830
+أربعة هاي تبصها كتبناها في عندي أربعة generators
+
+304
+00:33:34,830 --> 00:33:40,580
+هاي والله نسيتهيبقى انا في عندى اربعة يعني الاربعة
+
+305
+00:33:40,580 --> 00:33:45,640
+هدول بيجيبولي main نفس ال subgroup يبقى بالدقة بدك
+
+306
+00:33:45,640 --> 00:33:49,980
+تجسم الاربعة وعشرين على عدد ال generators بيعطيك
+
+307
+00:33:49,980 --> 00:33:55,280
+بالضبط قداش عدد ال cyclic subgroups of order اربعة
+
+308
+00:33:55,870 --> 00:33:59,950
+لأن اي واحدة ال order لها يساوي عشرة فيها اربع
+
+309
+00:33:59,950 --> 00:34:04,490
+generators كل واحد فيهم ال order له يساوي عشرة
+
+310
+00:34:04,490 --> 00:34:09,550
+وبيجيب لنفس ال subgroup مظبوط اذا عدد ال cyclic
+
+311
+00:34:09,550 --> 00:34:13,890
+subgroups بدي يساوي عدد ال elements مجسوم على مين
+
+312
+00:34:13,890 --> 00:34:25,330
+على عدد ال generators يبقى هنا number of cyclic
+
+313
+00:34:29,010 --> 00:34:40,450
+subgroups of order عشرة in z مية extend that
+
+314
+00:34:40,450 --> 00:34:50,180
+product to z خمسة وعشرينبنقسم ال 24 على عدد ال
+
+315
+00:34:50,180 --> 00:34:57,340
+generators اللي هو أربعة يبقى ستة cyclic subgroups
+
+316
+00:34:57,340 --> 00:34:59,220
+فقط نغير
+
+317
+00:35:04,780 --> 00:35:11,920
+يبقى ال 2500 element اللي هم عناصر ال group هدول
+
+318
+00:35:11,920 --> 00:35:16,500
+بلاقي بس منهم اللي هو ال 6 elements بيجيبولي ال
+
+319
+00:35:16,500 --> 00:35:20,220
+cyclic subgroup ال order اللي يساوي قدامهم ال
+
+320
+00:35:20,220 --> 00:35:24,060
+order يساوي عشرة و بنكمل ان شاء الله في المحاضرة
+
+321
+00:35:24,060 --> 00:35:25,360
+القادمة
+
diff --git a/PL9fwy3NUQKwZk82_1AeatKVgXG0nDxlHE/86L4hko5DF4.srt b/PL9fwy3NUQKwZk82_1AeatKVgXG0nDxlHE/86L4hko5DF4.srt
new file mode 100644
index 0000000000000000000000000000000000000000..3746f6e0a4fc2778ec1474624df14723747f93aa
--- /dev/null
+++ b/PL9fwy3NUQKwZk82_1AeatKVgXG0nDxlHE/86L4hko5DF4.srt
@@ -0,0 +1,2035 @@
+1
+00:00:21,690 --> 00:00:24,510
+النهار الفاتر كنا بنحكي في ال primary hemostasis
+
+2
+00:00:24,510 --> 00:00:30,870
+واتفقنا على انه ال primary hemostasis usually 
+
+3
+00:00:30,870 --> 00:00:35,350
+involve two items two components of the hemostatic
+
+4
+00:00:35,350 --> 00:00:40,110
+mechanism هي ال blood vessels و ال platelet حكينا 
+
+5
+00:00:40,110 --> 00:00:43,830
+عن ال blood vessels بالتفسير و بدنا نحكي عن ال
+
+6
+00:00:43,830 --> 00:00:47,690
+platelet و اتعرفنا على ال platelet
+
+7
+00:00:53,420 --> 00:00:58,360
+ثم وصلنا إلى Platelet 
+
+8
+00:00:58,360 --> 00:01:06,440
+Function وقولنا بأن Platelet Function هي عبارة عن 
+
+9
+00:01:06,440 --> 00:01:11,660
+وظائف متعددة سنتعرف عليها وعلى خطوات نشاط هذه
+
+10
+00:01:11,660 --> 00:01:18,180
+البلاتلت من أهم وظائف الـ platelets إنها بتشتغل ك
+
+11
+00:01:18,180 --> 00:01:21,960
+surveillance أو blood vessel continuity بمعنى إنها
+
+12
+00:01:21,960 --> 00:01:27,800
+بتساعد على بقاء ال blood vessels intact ومن خلال
+
+13
+00:01:27,800 --> 00:01:33,040
+إنها بتشيك checks endothelial lining for gaps and
+
+14
+00:01:33,040 --> 00:01:37,420
+breaks أي قطع أي gaps موجودة في ال blood vessels
+
+15
+00:01:37,420 --> 00:01:41,920
+هي بتقوم بتعبئتها و بتقوم بتحشيتها fill in small
+
+16
+00:01:41,920 --> 00:01:45,520
+gaps caused by separation of endothelial cells، أي 
+
+17
+00:01:45,520 --> 00:01:49,940
+جاب صارت بين ال endothelial cell، بتعملها عيش،
+
+18
+00:01:49,940 --> 00:01:57,000
+بتعملها filling Hemostatic Plague وهذا متفق عليه ثم
+
+19
+00:01:57,000 --> 00:02:01,660
+بتعتبر surface بتشكل surface for the activation of
+
+20
+00:02:01,660 --> 00:02:05,800
+coagulation cascade mechanism وبتلعب دور كبير في
+
+21
+00:02:05,800 --> 00:02:10,420
+ال healing process لإنه بيصير فيه إفراز for
+
+22
+00:02:10,420 --> 00:02:18,840
+certain growth factor or cytokines for healing
+
+23
+00:02:18,840 --> 00:02:26,290
+نبدأ هذه الخطوات خطوات نشاط البليتلت قولنا البليتلت
+
+24
+00:02:26,290 --> 00:02:33,170
+في الوضع العادي يا شباب لأ تمشي تمشي normal بمعنى
+
+25
+00:02:33,170 --> 00:02:40,510
+it's not acting 100% يوم ما تتغير الظروف عليها
+
+26
+00:02:40,510 --> 00:02:45,270
+normal circumstances بتبدأ تتحول الى functioning
+
+27
+00:02:45,270 --> 00:02:52,160
+الى active Platelet و بتمر في عدة مراحل هذه المراحل
+
+28
+00:02:52,160 --> 00:02:59,540
+تبدأ بال adhesion stage أو step ثم change in shape
+
+29
+00:02:59,540 --> 00:03:04,960
+ثم degradation or secretion ثم aggregation ثم
+
+30
+00:03:04,960 --> 00:03:10,080
+stable clot formation ماشي؟ هنجي ان شاء الله لكل
+
+31
+00:03:10,080 --> 00:03:14,820
+خطوة من هذه الخطوات بالتفصيل و نبدأ بأول مرحلة و
+
+32
+00:03:14,820 --> 00:03:19,510
+هي ال platelet adhesion طبعا في هذه العملية بتتم
+
+33
+00:03:19,510 --> 00:03:27,450
+عملية ارتباط او ربط لـ platelet بال subendothelial
+
+34
+00:03:27,450 --> 00:03:34,530
+layer لـ platelet بال subendothelial layer او ما
+
+35
+00:03:34,530 --> 00:03:37,790
+يسمى بال non-platelet surface لأنه في الوضع
+
+36
+00:03:37,790 --> 00:03:43,230
+الطبيعي لـ platelet ماتتحتك نهائي بمين بال
+
+37
+00:03:43,230 --> 00:03:47,930
+subendothelial طبعا في هذه الحالة بتم المسكة الـ
+
+38
+00:03:47,930 --> 00:03:52,730
+platelet شباب كل اللي بيصير أنه هو الأول ردد فعلا
+
+39
+00:03:52,730 --> 00:03:56,290
+ال platelet أنه بتغير شكلها من ال discord shape
+
+40
+00:03:56,290 --> 00:04:03,690
+إلى ال acanthocytes طبعا بتمر في مرحلة وسطة وهي ال
+
+41
+00:04:03,690 --> 00:04:09,160
+plate-like form shape أنها بتصير من ال discord الى
+
+42
+00:04:09,160 --> 00:04:13,440
+plate-like يعني بتفرد وبتزود ال surface area
+
+43
+00:04:13,440 --> 00:04:19,720
+تبعتها ثم إذا استمر ال adhesive process بتتحول ل
+
+44
+00:04:19,720 --> 00:04:24,300
+acanthocytes لإنه بتبدأ تعمل degranulation تبدأ تعمل
+
+45
+00:04:24,300 --> 00:04:30,600
+إيه؟ degranulation طبعا هذه أول مرح أول خطوة من
+
+46
+00:04:30,600 --> 00:04:34,660
+خطواتها اللي هي عملية الأرتباط عملية الأرتباط عشان
+
+47
+00:04:34,660 --> 00:04:38,780
+تتم عملية الأرتباط تحتاج إلى ظروف معينة تحتاج إلى
+
+48
+00:04:38,780 --> 00:04:43,640
+ظروف معينة، بدها معطيات معينة، لازم تتوفر شروط
+
+49
+00:04:43,640 --> 00:04:47,640
+معينة منها، الـ release of certain activating
+
+50
+00:04:47,640 --> 00:04:55,220
+factors بيسموهم زي ثرمبين، وثرمبين كلكم بتعرفوا هو
+
+51
+00:04:55,220 --> 00:04:59,720
+عبارة عن إيش؟ هو عبارة عن active coagulation
+
+52
+00:04:59,720 --> 00:05:04,950
+factor، صح؟ إيش بيعمل؟ 100% 100% بيحاول في ال
+
+53
+00:05:04,950 --> 00:05:07,610
+bridge اللي في ال fibers يعني هذا primary
+
+54
+00:05:07,610 --> 00:05:10,990
+hemostasis ولا secondary hemostasis secondary
+
+55
+00:05:10,990 --> 00:05:16,770
+hemostasis 100% which means لما انه مطلوب ان يكون
+
+56
+00:05:16,770 --> 00:05:20,910
+موجود ان ال primary و ال secondary بيمشوا جنبا إلى
+
+57
+00:05:20,910 --> 00:05:27,980
+جنب بيتمشطوا مع بعض ماشي لكن مين يسبقالـ Primary،
+
+58
+00:05:27,980 --> 00:05:31,840
+مين بيسبق الـ Primary؟ فالproblem المطلوب، which
+
+59
+00:05:31,840 --> 00:05:35,320
+means انه إيش؟ انه ال secondary hemostasis is also
+
+60
+00:05:35,320 --> 00:05:39,840
+activating at this stage لكن اللي بيسبق هو ال
+
+61
+00:05:39,840 --> 00:05:43,660
+primary، نمرا اتنين, fibrinicted, and this is a
+
+62
+00:05:43,660 --> 00:05:47,100
+diger molecule، هذا عبارة عن a diger molecule، إيش
+
+63
+00:05:47,100 --> 00:05:51,780
+اسم الخطوة؟ اسمها platelet adhesion بيتما ادهيجي
+
+64
+00:05:51,780 --> 00:05:55,740
+موليكيون ولا لا؟ لأ لأ بعنديك لأ بيتليت 100% بربط
+
+65
+00:05:55,740 --> 00:05:59,800
+لبليتليت برضه بال sub endothelia نمرى تلاتة von
+
+66
+00:05:59,800 --> 00:06:03,000
+Willebrand and this is the largest اللي هو
+
+67
+00:06:03,000 --> 00:06:09,200
+component which is required for platelet adhesion
+
+68
+00:06:09,200 --> 00:06:14,320
+لمين؟ to sub endothelia او to collagen layer to
+
+69
+00:06:14,320 --> 00:06:19,090
+collagen layer هو عبارة عن big molecule بيكون دائما
+
+70
+00:06:19,090 --> 00:06:26,590
+حامل factor 8 على دهره يا شباب، ماشي؟ وماشي، ماشي؟
+
+71
+00:06:26,590 --> 00:06:29,550
+as a complex، volume of the brand factor 8 هي
+
+72
+00:06:29,550 --> 00:06:34,370
+complex نسبة فاق volume of the brand ل factor 8
+
+73
+00:06:34,370 --> 00:06:37,950
+تسعة إلى واحد، قداش حجم volume of the brand، تسعة
+
+74
+00:06:37,950 --> 00:06:42,610
+أضعافير which means أن فاق volume of the brand هو
+
+75
+00:06:42,610 --> 00:06:45,250
+برعام big molecule ولا مش big molecule، big
+
+76
+00:06:45,250 --> 00:06:49,630
+molecule طب هل المطلوب ان يكون big؟ طبعا لأن انا
+
+77
+00:06:49,630 --> 00:06:55,990
+بدي ايش؟ هو بدي شغلك ايش؟ كرابط، بدي يربط جسمين مع
+
+78
+00:06:55,990 --> 00:06:58,730
+بعض، ال platelet مع ال collagen و بالتالي لازم
+
+79
+00:06:58,730 --> 00:07:06,110
+يكون الوسط ياش؟ الوسط كبير الان هنشوف كيف تتم هذه
+
+80
+00:07:06,110 --> 00:07:11,610
+العملية شايفين العنوان مش مقول؟ مقول collagen و ال
+
+81
+00:07:11,610 --> 00:07:15,880
+platelet و في النص ايش فيه؟ Von Willebrand الـ Von
+
+82
+00:07:15,880 --> 00:07:19,120
+Willebrand هو الوسيط هو الوسطى هو اللي بيش يربط
+
+83
+00:07:19,120 --> 00:07:23,740
+الكلاجن بمين بالـ platelet أو ال platelet بالـ air
+
+84
+00:07:23,740 --> 00:07:29,780
+بالكلاجن قبل ان انا اشرحكم هذا ال slide فى شوية
+
+85
+00:07:29,780 --> 00:07:33,060
+slides شاعتكم معاكوا انتبهوا عليها ماشي اليوم
+
+86
+00:07:33,060 --> 00:07:36,720
+بنزلكوا على الصفحة بإذن الله ماشي يا شباب انتبهوا
+
+87
+00:07:36,720 --> 00:07:45,570
+عليها شو اللي بصير اللي بصير انه فى جسمين بيتمثلوا
+
+88
+00:07:45,570 --> 00:07:48,990
+بالـ Platelet والـ Collagen. مين بربطهم؟ مين
+
+89
+00:07:48,990 --> 00:07:52,230
+الواسطة؟ الـ Von Willebrand Factor. كيف تتم هذه
+
+90
+00:07:52,230 --> 00:07:56,850
+العملية؟ يعني بقدر أقول، Von Willebrand Act as a
+
+91
+00:07:56,850 --> 00:08:01,450
+Bridge. Bridge يعني بيقصر، بيجسر، بيجسر المسافة
+
+92
+00:08:01,450 --> 00:08:04,430
+الـ Physical Distance between Platelet and the
+
+93
+00:08:04,430 --> 00:08:11,030
+subendothelia. وهي طبعاً وجوده بيعمل Sealing،
+
+94
+00:08:11,030 --> 00:08:15,940
+Bond. ماشي؟ Increase the bond that sealed platelet
+
+95
+00:08:15,940 --> 00:08:20,460
+to the vessel wall ومن صفات هذه الخطوة انها
+
+96
+00:08:20,460 --> 00:08:24,400
+reversible شو يعني reversal؟ ممكن تسلق ممكن تفوق و
+
+97
+00:08:24,400 --> 00:08:29,100
+هذه نعم يا شباب، من نعم الخالق علينا ليش؟ لأنها
+
+98
+00:08:29,100 --> 00:08:33,860
+بتعني انه مش هذا لا يعني انه كل ما بلاتلت مسكت في
+
+99
+00:08:33,860 --> 00:08:38,360
+blood vessels، بتعمل جلطة، صح؟ لأنه اذا كان كل
+
+100
+00:08:38,360 --> 00:08:43,700
+بلاتلت بتلق أو بتمسك في plot visit، بدها تعمل جلطة،
+
+101
+00:08:43,700 --> 00:08:49,440
+معناه تقول الجلطات على جفن ميشي، لكن مجرد الأرض
+
+102
+00:08:49,440 --> 00:08:53,880
+بقى بهذه الطريقة، it's reversible، بمعنى أنه ممكن
+
+103
+00:08:53,880 --> 00:08:56,960
+يفتح، ممكن تغير رأيها الـ platelet، ممكن ايش؟ تغير
+
+104
+00:08:56,960 --> 00:09:01,950
+رأيها الـ platelet كيف تتم هذه العملية؟ بالتبايش ب
+
+105
+00:09:01,950 --> 00:09:09,850
+.. بتكلمه ب .. اللي هو two mechanism الأولان يشوش
+
+106
+00:09:09,850 --> 00:09:14,550
+بقى هذا هو .. هاي طبعا Endothelia وهي ال
+
+107
+00:09:14,550 --> 00:09:19,450
+subendothelia وهي ال platelet وهي ال bond بما أنا
+
+108
+00:09:19,450 --> 00:09:24,050
+فاكر ربط بين مين؟ بين ال platelet و بين مين؟ ال
+
+109
+00:09:24,050 --> 00:09:28,480
+subendothelia كيف تتم هذه العملية؟ من خلال اضطراب
+
+110
+00:09:28,480 --> 00:09:32,600
+الـ Von Willebrand بالـ GP1B ريسبتور اللي على سطح
+
+111
+00:09:32,600 --> 00:09:40,000
+الـ Platelet وفي الكلاجب ماشي فجاء الكلاجب مسك
+
+112
+00:09:40,000 --> 00:09:43,680
+بالـ Platelet الواسطة Von Willebrand و Von
+
+113
+00:09:43,680 --> 00:09:47,620
+Willebrand مسك ال Platelet من خلال المنطقة من خلال
+
+114
+00:09:47,620 --> 00:09:53,800
+ريسبتور اسمه Glycoprotein 1B ماشي؟ طيب، هل هذه
+
+115
+00:09:53,800 --> 00:09:59,440
+العملية تتم بدون واسطة؟ بدون Von Willebrand تستطيع أن
+
+116
+00:09:59,440 --> 00:10:03,980
+تتم نازرات تستطيع أن تتم نازرات تستطيع أن تتم
+
+117
+00:10:03,980 --> 00:10:09,040
+نازرات تستطيع أن تتم نازرات تستطيع أن تتم
+
+118
+00:10:09,040 --> 00:10:12,900
+نازرات تستطيع أن تتم نازرات تستطيع أن تتم نازرات
+
+119
+00:10:12,900 --> 00:10:13,180
+تستطيع أن تتم نازرات تستطيع أن تتم نازرات تستطيع
+
+120
+00:10:13,180 --> 00:10:13,260
+أن تتم نازرات تستطيع أن تتم نازرات تستطيع أن تتم
+
+121
+00:10:13,260 --> 00:10:15,020
+نازرات تستطيع أن تتم نازرات تستطيع أن تتم نازرات
+
+122
+00:10:15,020 --> 00:10:17,000
+تستطيع أن تتم نازرات تستطيع أن تتم نازرات تستطيع
+
+123
+00:10:17,000 --> 00:10:22,880
+تستطيع 
+
+124
+00:10:22,880 --> 00:10:28,410
+أن تتم  ناشي، يبقى two mechanism إما من خلال
+
+125
+00:10:28,410 --> 00:10:31,590
+ارتباط الوغل البراد بال Glycoprotein 1B وإما من
+
+126
+00:10:31,590 --> 00:10:35,130
+خلال ارتباط ال glycoprotein 1A  الreceptor اللي 
+
+127
+00:10:35,130 --> 00:10:38,150
+على سطح ال platelet directly with  the vessel wall and with blood 
+
+128
+00:10:38,150 --> 00:10:42,690
+vessels with the vessel wall and with blood vessels هذا هي ال
+
+129
+00:10:42,690 --> 00:10:47,450
+first stage هذه هي ال first stage وهي ال adhesion
+
+130
+00:10:47,450 --> 00:10:50,730
+stage و هذه الصورة زي ما تشايفين يا شباب هي blood
+
+131
+00:10:50,730 --> 00:10:53,810
+vessels، normal blood vessels في الوضع الطبيعي يا
+
+132
+00:10:53,810 --> 00:10:55,210
+شباب ال platelet is adhering
+
+133
+00:10:58,950 --> 00:11:02,990
+بتنقمط على سطح مين؟ على سطح الفضلة الذاتية، ليش
+
+134
+00:11:02,990 --> 00:11:09,270
+بتنقمط؟ بشكل طبيعي، لأن في continuous lining، صح؟ من
+
+135
+00:11:09,270 --> 00:11:11,970
+وين جاء ال negative charge؟ من النساء الذاتية، من
+
+136
+00:11:11,970 --> 00:11:15,930
+الأولوية، من الطبية، طلعت لنا إيه؟ نيروكسر،
+
+137
+00:11:15,930 --> 00:11:18,410
+نيروكسر، نيروكسر، نيروكسر، نيروكسر، نيروكسر،
+
+138
+00:11:18,410 --> 00:11:18,570
+نيروكسر، نيروكسر، نيروكسر، نيروكسر، نيروكسر،
+
+139
+00:11:18,570 --> 00:11:21,870
+نيروكسر، نيروكسر، نيروكسر، نيروكسر، نيروكسر،
+
+140
+00:11:21,870 --> 00:11:27,310
+نيروكسر، نيروكالاندروسيدين one بيعمل
+
+141
+00:11:27,310 --> 00:11:33,390
+العكس فشو اللي صار؟ صار فيه خلل في ال blood
+
+142
+00:11:33,390 --> 00:11:37,250
+vessels طلع منه von Willebrand factor من von Willebrand شو
+
+143
+00:11:37,250 --> 00:11:40,390
+عمل von Willebrand factor؟ ربط البليتلت اللي هي ربط البليتلت
+
+144
+00:11:40,390 --> 00:11:45,210
+بمين؟ بالكلاجة ربط البليتلت بالكلاجة وبالتالي صار
+
+145
+00:11:45,210 --> 00:11:50,550
+فيه ايش؟ فيه adhesion ماشي؟ it's reversible مرة
+
+146
+00:11:50,550 --> 00:11:56,870
+تانية بقولكوا ليش؟and there is no ADP production،
+
+147
+00:11:56,870 --> 00:12:02,550
+لسه ما طلع ال ADP، يعني وين موجود ال ADP؟ ال
+
+148
+00:12:02,550 --> 00:12:07,170
+receptor على سطح البلاتلة، في البلاتلة الموجودة،
+
+149
+00:12:07,170 --> 00:12:12,900
+وين موجود في البلاتلة؟موجود في ال dense granules،
+
+150
+00:12:12,900 --> 00:12:18,120
+مظبوط، مش قولنا ATP و ADP و Calcium و Serotonin طيب
+
+151
+00:12:18,120 --> 00:12:21,360
+طلع من البلد اللي بتشي؟ ما طلعش من البلد اللي
+
+152
+00:12:21,360 --> 00:12:25,440
+بتشي، يعني في ATP برا، مافيش ADP، هو إيش ال ADP؟
+
+153
+00:12:25,440 --> 00:12:32,000
+مش خدناها قبل ذلك احنا، إيش بعمل؟ بيحفظ البلد، هو
+
+154
+00:12:32,000 --> 00:12:36,100
+بعمل، أه بيحفظ، إيش يعني بيعملها؟ بيطلع طاقة، طاقة
+
+155
+00:12:36,100 --> 00:12:38,460
+يعني إيش؟ يعني بتشرب شو بالطاقة؟
+
+156
+00:12:42,160 --> 00:12:46,100
+طاقة يعني platelet aggregation بتخليها تعمل
+
+157
+00:12:46,100 --> 00:12:48,900
+platelet aggregation مش يقولنا strong platelet
+
+158
+00:12:48,900 --> 00:12:53,420
+aggregate هو بقى strong platelet aggregate احنا
+
+159
+00:12:53,420 --> 00:12:56,340
+لسه مافيش ADP ليعمل aggregation لكن في adhesion
+
+160
+00:12:56,340 --> 00:13:01,560
+صار اه في adhesion reversal نعم reversal ماشي طيب
+
+161
+00:13:01,560 --> 00:13:03,960
+صار في initiation
+
+162
+00:13:07,820 --> 00:13:14,040
+متمثلة بالـ Capturing، إيش يعني Capture؟ إلتقاط، ثم
+
+163
+00:13:14,040 --> 00:13:20,140
+Adhesion، ثم Activation، الخطوة التي تلي الـ
+
+164
+00:13:20,140 --> 00:13:24,920
+Capturing هي إيش؟ هي الـ Adhesion، ثم إيش؟ ثم
+
+165
+00:13:24,920 --> 00:13:33,280
+Activation، هنشوف أي صورة واضحة تماما، لكن مكرمة،
+
+166
+00:13:33,280 --> 00:13:35,780
+هذا هي نفس الحكاية، الوضع اللي بدنا نطلع ونشيك،
+
+167
+00:13:35,780 --> 00:13:44,660
+وهو دهمفروض شباب؟ طيب قولنا بس تنمسك بس تصبح الـ
+
+168
+00:13:44,660 --> 00:13:49,620
+adhesion بيصير فيه change in shape بيصير فيه
+
+169
+00:13:49,620 --> 00:13:54,100
+change in shape للـ platelet تتحول from discoid to
+
+170
+00:13:54,100 --> 00:13:59,660
+platelet form shape ثم أكانثوسايت ثم أكانثوسايت
+
+171
+00:13:59,660 --> 00:14:03,480
+عارفين مصطلح أكانثوسايت؟ أخدته صح؟ خدته في
+
+172
+00:14:03,480 --> 00:14:08,380
+الhematology؟ صحيحأيوة ال acanthocyte غير معروف
+
+173
+00:14:08,380 --> 00:14:12,300
+يعني مافي شيطاك محدد لأ شيطاك محدد لا شيطاك محدد
+
+174
+00:14:12,300 --> 00:14:13,320
+لا شيطاك محدد لا شيطاك محدد لا شيطاك محدد لا شيطاك
+
+175
+00:14:13,320 --> 00:14:14,240
+محدد لا شيطاك محدد لا شيطاك محدد لا شيطاك محدد لا
+
+176
+00:14:14,240 --> 00:14:16,600
+شيطاك محدد لا شيطاك محدد لا شيطاك محدد لا شيطاك
+
+177
+00:14:16,600 --> 00:14:19,320
+محدد لا شيطاك محدد لا شيطاك محدد لا شيطاك محدد لا
+
+178
+00:14:19,320 --> 00:14:23,100
+شيطاك محدد لا شيطاك محدد لا شيطاك محدد لا شيطاك
+
+179
+00:14:23,100 --> 00:14:35,680
+محدد لا شيطاك محدد لا شيطاك
+
+180
+00:14:35,680 --> 00:14:42,740
+محدد sharp change، ماشي؟ طيب، تحولت الخلية الـIH إلى ..
+
+181
+00:14:42,740 --> 00:14:47,180
+إلى Acanthocytes يعني صار فيه change in shape، صار
+
+182
+00:14:47,180 --> 00:14:49,980
+فيه change in shape طبعا هذا دليل على إيش؟ دليل
+
+183
+00:14:49,980 --> 00:14:53,040
+على إنه في continuous adhesion طول ما هي ممسوكة،
+
+184
+00:14:53,040 --> 00:14:56,160
+قلتلكوا، طول ما هو ممسوكة، الـplatelet بتمر بعد، في
+
+185
+00:14:56,160 --> 00:15:01,280
+مراحل إيش؟ النشاط، بتمر في مراحل النشاط وقبل مراحل
+
+186
+00:15:01,280 --> 00:15:04,580
+النشاط، هذه المرحلة أو أول مراحل النشاط، هذه
+
+187
+00:15:04,580 --> 00:15:08,290
+المرحلةهذه التي تسبق الـ Degranulation لازم تغير
+
+188
+00:15:08,290 --> 00:15:12,090
+شكلها واحد بيكون بمسيك ال bracelet بالشكل هذا نمسك
+
+189
+00:15:12,090 --> 00:15:16,730
+كرة بالشكل هذا ماشي، شو بيصير؟ بيصير في ال .. ال
+
+190
+00:15:16,730 --> 00:15:19,930
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+191
+00:15:19,930 --> 00:15:20,690
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+192
+00:15:20,690 --> 00:15:21,090
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+193
+00:15:21,090 --> 00:15:21,270
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+194
+00:15:21,270 --> 00:15:21,790
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+195
+00:15:21,790 --> 00:15:21,810
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+196
+00:15:21,810 --> 00:15:21,930
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+197
+00:15:21,930 --> 00:15:23,490
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+198
+00:15:23,490 --> 00:15:31,050
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+199
+00:15:31,050 --> 00:15:33,390
+ال .. ال .. ال ..
+
+200
+00:15:35,400 --> 00:15:38,420
+بتقص عليها الشكل هذا بتغير شكلها ولا بتغيرش؟
+
+201
+00:15:38,420 --> 00:15:41,720
+الادهيجي نعمل هي نفس الحركة، نسكت الـplatelet،
+
+202
+00:15:41,720 --> 00:15:45,760
+ففعصت الـplatelet حاولت تخلط يعني، ماقدرتش،
+
+203
+00:15:45,760 --> 00:15:52,880
+وبالتالي صار في change in shape طيب،
+
+204
+00:15:52,880 --> 00:16:00,260
+محصلة ذلك اللي هو .. محصلة ذلك اللي هو ال ..
+
+205
+00:16:00,420 --> 00:16:05,400
+secretion or release or degranulation ناشي and
+
+206
+00:16:05,400 --> 00:16:12,860
+this stage requires energy بدها طاقة بدها أياش بدها
+
+207
+00:16:12,860 --> 00:16:19,520
+طاقة متمثلة بإياش بال ATP it requires ATP وطبعا ال
+
+208
+00:16:19,520 --> 00:16:29,760
+ATP او ADP ناشي وحصلته degranulation بيصاحب هذه
+
+209
+00:16:29,760 --> 00:16:34,500
+العملية release of catecholamine أو الابنفرين مرضو
+
+210
+00:16:34,500 --> 00:16:39,920
+أحد المكونات اللي هي ال platelet هو السيروتونين
+
+211
+00:16:39,920 --> 00:16:46,880
+والتانية شو بيعملوا؟ بيعملوا vasoconstriction طبعا
+
+212
+00:16:46,880 --> 00:16:53,790
+these granules trigger بجانب ال primaryاللي هو
+
+213
+00:16:53,790 --> 00:16:56,890
+بالجانب الـ adhesion بيعملوا حاجة بيسموها
+
+214
+00:16:56,890 --> 00:17:01,270
+secondary aggregation وعندنا هنتعرف على ال primary
+
+215
+00:17:01,270 --> 00:17:04,690
+aggregation الخطوة الأساسية secondary aggregation
+
+216
+00:17:04,690 --> 00:17:09,190
+لإن هذه المواد ال ADP هو عبارة عن agonist قوي
+
+217
+00:17:09,190 --> 00:17:16,150
+يستطيع أن يعمل direct aggregation لل platelet even
+
+218
+00:17:16,150 --> 00:17:21,190
+without the adhesion automatically ممكن
+
+219
+00:17:21,190 --> 00:17:26,060
+يعمليهاشوبالتالي وجوده في الوسط مهم جدا strong
+
+220
+00:17:26,060 --> 00:17:32,140
+aggregate طبعا
+
+221
+00:17:32,140 --> 00:17:36,020
+عندما أصار في aggregation يا شباب there is no more
+
+222
+00:17:36,020 --> 00:17:40,760
+reversibility no more reversibility بمعنى أن
+
+223
+00:17:40,760 --> 00:17:43,500
+الخطوة بتصير irreversible شو اللي بيصير؟
+
+224
+00:17:50,480 --> 00:17:52,260
+degranulation نحكي عن دي دي دي دي دي دي دي دي
+
+225
+00:17:52,260 --> 00:17:54,160
+دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي
+
+226
+00:17:54,160 --> 00:17:55,520
+دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي
+
+227
+00:17:55,520 --> 00:18:02,660
+دي دي دي دي دي دي دي دي دي
+
+228
+00:18:02,660 --> 00:18:02,720
+دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي
+
+229
+00:18:02,720 --> 00:18:06,640
+دي دي دي
+
+230
+00:18:06,640 --> 00:18:06,680
+دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي
+
+231
+00:18:06,680 --> 00:18:10,180
+دي دي
+
+232
+00:18:18,510 --> 00:18:24,950
+وبالتالي بيعمل acid hydrolysis ثم ال alpha
+
+233
+00:18:24,950 --> 00:18:28,310
+granules فيها مكونات كثيرة فيها إيش؟ مكونات كثيرة
+
+234
+00:18:28,310 --> 00:18:33,650
+منها على سبيل المثال اللي هو release of platelet
+
+235
+00:18:33,650 --> 00:18:40,330
+factor 4 عارفين إيش بيسوي؟ عارفين إيش؟ بيسوي؟ شو
+
+236
+00:18:40,330 --> 00:18:46,810
+بيسوي؟ اللي هو .. شو بيسوي؟ أه؟
+
+237
+00:18:52,110 --> 00:18:57,150
+يعمل neutralization للهيبرين neutralization للهيبرين
+
+238
+00:18:57,150 --> 00:19:01,030
+نعم بالظبط
+
+239
+00:19:01,030 --> 00:19:05,270
+احنا قاعدين نعمل جلطة بدنا هيبرين بدناش هيبرين
+
+240
+00:19:05,270 --> 00:19:07,630
+فشوف تعمل ال platelet و تطلع ال platelet على ال
+
+241
+00:19:07,630 --> 00:19:09,730
+factor 4 وعلى ال platelet factor 4 تعمل
+
+242
+00:19:09,730 --> 00:19:14,890
+inactivation لمن؟ للهيبرين وبالتالي بيهيئ اللي هو
+
+243
+00:19:16,780 --> 00:19:19,700
+نمر يعني اتنين بيطلع الـ Beta-thromboglobulin،
+
+244
+00:19:19,700 --> 00:19:22,460
+another protein which is required for أكثر من
+
+245
+00:19:22,460 --> 00:19:25,680
+المرحلة، منها الـ adhesion ومنها اللي هو الـ
+
+246
+00:19:25,680 --> 00:19:30,020
+healing process، as well as platelet derived
+
+247
+00:19:30,020 --> 00:19:32,800
+growth factor، وقبل عن growth cytokine، growth
+
+248
+00:19:32,800 --> 00:19:37,780
+cytokine، وهذا مطلوب for healing، and another
+
+249
+00:19:37,780 --> 00:19:41,060
+coagulation protein، احنا عارفين ان في جلب
+
+250
+00:19:41,060 --> 00:19:46,250
+الـplatelet فيه coagulation factors،منها factor 1
+
+251
+00:19:46,250 --> 00:19:55,050
+و factor 5 و factor 8 و factor 13، ماشي؟ واحد و
+
+252
+00:19:55,050 --> 00:19:58,770
+خمسة و ثمانية، كلهم موجودين في الـplatelet،
+
+253
+00:19:58,770 --> 00:20:02,230
+نعم في الـalpha granules، و شوية من هنا، ثلاثة
+
+254
+00:20:02,230 --> 00:20:07,160
+عشرة، النوع الثاني وهو dense granules وهو إيش؟ dense
+
+255
+00:20:07,160 --> 00:20:10,300
+granules، و الـdense granules عارفين مكوناتها إيه
+
+256
+00:20:10,300 --> 00:20:15,380
+ATP و ADP و كالسيوم و ثرمبوكسين، كالسيوم و ثرمبوكسين و
+
+257
+00:20:15,380 --> 00:20:21,900
+مطلوب جدا الكالسيوم يكون في هذه المراحل لما
+
+258
+00:20:21,900 --> 00:20:25,100
+يزيد بيعمل vasoconstriction، أحسن، بيعمل أحسن
+
+259
+00:20:25,100 --> 00:20:29,160
+طيب زي ما أنتم شايفين هي الوعائد ده مرة ثانية
+
+260
+00:20:29,160 --> 00:20:31,340
+ماشي
+
+261
+00:20:33,580 --> 00:20:37,180
+المزحة، طلع منه فوملي براند تعملها تيجي وشوية
+
+262
+00:20:37,180 --> 00:20:40,100
+aggregation هي لدى، وزي ما أنتم ملاحظين إيش صار
+
+263
+00:20:40,100 --> 00:20:43,160
+فيه موجود في الوسط، حال جيتها أنت قاعد البيت ما حق
+
+264
+00:20:43,160 --> 00:20:46,520
+إنك تدفع البيت، صار في LED، وقلنا هذا عبارة عن 
+
+265
+00:20:46,520 --> 00:20:52,620
+strong air aggregation، وفي عندنا thromboxane A2 هذا
+
+266
+00:20:52,620 --> 00:20:55,940
+إيش هو بيعمل aggregation و بيعمل platelet
+
+267
+00:20:55,940 --> 00:21:01,710
+aggregation، بيعمل platelet aggregation، احنا بدنا نعمل
+
+268
+00:21:01,710 --> 00:21:04,490
+platelet aggregation، بدنا نصل إلى المرحلة التي
+
+269
+00:21:04,490 --> 00:21:08,910
+تليها، نصل إلى إيه؟ للمرحلة التي تليها، فبالتالي
+
+270
+00:21:08,910 --> 00:21:13,610
+بدنا نوفر الظروف لهذه المرحلة، ماشي؟ فهي المسكة
+
+271
+00:21:13,610 --> 00:21:18,530
+عملت degranulation، و الـgranules اللي طلعت منها،
+
+272
+00:21:18,530 --> 00:21:23,540
+ماشي؟ تحتوي على platelet aggregate، فمنها ADP و من
+
+273
+00:21:23,540 --> 00:21:26,140
+شرط الـplatelet طلعت الـthromboxane A2 وعارفين
+
+274
+00:21:26,140 --> 00:21:29,660
+الميكانيزم تبعه أخذناه.. ماشي.. قالولي هذا
+
+275
+00:21:29,660 --> 00:21:32,620
+strong agregant وبالتالي بيعملوا platelet إيه عشان
+
+276
+00:21:32,620 --> 00:21:37,300
+..ماشي.. ماشي.. ماشي.. ماشي.. ماشي.. ماشي..
+
+277
+00:21:37,300 --> 00:21:38,060
+ماشي.. ماشي.. ماشي.. ماشي.. ماشي.. ماشي..
+
+278
+00:21:38,060 --> 00:21:39,160
+ماشي.. ماشي.. ماشي.. ماشي.. ماشي.. ماشي..
+
+279
+00:21:39,160 --> 00:21:39,380
+ماشي.. ماشي.. ماشي.. ماشي.. ماشي.. ماشي..
+
+280
+00:21:39,380 --> 00:21:40,280
+ماشي.. ماشي.. ماشي.. ماشي.. ماشي.. ماشي..
+
+281
+00:21:40,280 --> 00:21:43,100
+ماشي.. ماشي.. ماشي.. ماشي.. ماشي.. ماشي..
+
+282
+00:21:43,100 --> 00:21:47,160
+ماشي.. ماشي
+
+283
+00:21:47,160 --> 00:21:51,590
+..طب إيش بيشكل؟ جاله factor خمسة هذا هو هدفه هو
+
+284
+00:21:51,590 --> 00:21:55,350
+عبارة عن substrate لمين؟ لـfactor عشرة، يعني بنشط
+
+285
+00:21:55,350 --> 00:21:57,970
+coagulation cascade mechanism و factor اثنين
+
+286
+00:21:57,970 --> 00:22:01,930
+factor عشرة بيشتغل على خمسة في وجود خمسة على اثنين
+
+287
+00:22:01,930 --> 00:22:06,010
+و اثنين بتحول لهول بروثرومبين تحول لـthrombin و thrombin
+
+288
+00:22:06,010 --> 00:22:09,110
+بيشتغل على الـfibrin region وهكذا، فاهمين عليا؟
+
+289
+00:22:09,110 --> 00:22:14,290
+يعني كمان على سطح البلد شو بيصير؟ بيصير إن نشط الـ
+
+290
+00:22:14,290 --> 00:22:19,220
+coagulation cascade mechanism، مش سيريال تنشيط للـ
+
+291
+00:22:19,220 --> 00:22:22,360
+coagulation cascade mechanism، إيه موجود receptor
+
+292
+00:22:22,360 --> 00:22:25,020
+في الـextrinsic أم لأ، في الـ.. لأ في الـintrinsic
+
+293
+00:22:25,020 --> 00:22:28,420
+فدي في الـcommon حتى، بس المرة الجاية مش هروح
+
+294
+00:22:28,420 --> 00:22:31,820
+نفسيها، platelet factor أربعة، طوّبوا قلتلكوا إياه،
+
+295
+00:22:31,820 --> 00:22:35,980
+إيش بيطلقوا؟ إيه بيعمل؟ إيه بيعمل؟ إيه بيعمل؟ إيه
+
+296
+00:22:35,980 --> 00:22:36,120
+بيعمل؟ إيه بيعمل؟ إيه بيعمل؟ إيه بيعمل؟ إيه بيعمل؟
+
+297
+00:22:36,120 --> 00:22:37,320
+إيه بيعمل؟ إيه بيعمل؟ إيه بيعمل؟ إيه بيعمل؟ إيه
+
+298
+00:22:37,320 --> 00:22:44,400
+بيعمل؟ إيه بيعمل؟ إيه بيعمل؟ إيه بيعمل؟ إيه بيعمل؟
+
+299
+00:22:44,400 --> 00:22:48,860
+حاجتين كنتي ليه؟ بتـrecruit، recruit يعني يستمر
+
+300
+00:22:48,860 --> 00:22:53,260
+استدعاء، كل platelet جديدة بتصل للمكان بنشطها، كل
+
+301
+00:22:53,260 --> 00:22:56,960
+platelet جديدة بتصل للمكان الممزوع يعني، شو
+
+302
+00:22:56,960 --> 00:23:01,380
+بعملها؟ بعملها بنشطها، وفي نفس الوقت لما بتتنشط،
+
+303
+00:23:01,380 --> 00:23:05,480
+بتطلع من الـplatelet، dense granules، إيش بتطلع؟
+
+304
+00:23:05,480 --> 00:23:09,240
+من الـcalcium، عندنا هنشوف إنه لازم لكل عمليات
+
+305
+00:23:09,240 --> 00:23:12,180
+الحيوية اللي بتتنشط من خلالها الـcoagulation
+
+306
+00:23:12,180 --> 00:23:19,160
+cascade، عارف؟ معدى بدايته ونهايته، بس، شايفين إيش
+
+307
+00:23:19,160 --> 00:23:24,000
+الصورة؟ بطلت فيه adhesion، طبقة واحدة، كم طبقة صارت
+
+308
+00:23:24,000 --> 00:23:28,760
+طبقات، يعني adhesion و aggregation اثنين، وإيه؟ و
+
+309
+00:23:28,760 --> 00:23:35,700
+aggregation، ماشي، صار فيه perputation للـplatelet
+
+310
+00:23:35,700 --> 00:23:40,560
+blood formation، وبالتالي تعظمت وكبرت وصارت إيه
+
+311
+00:23:40,560 --> 00:23:45,060
+إيش؟ وصارت جلبة، شوفوا إيش اللي موجودة شباب، ADP
+
+312
+00:23:48,160 --> 00:23:52,460
+وفي حاجة أهم كمان موجودة، thrombin، وزي ما قلتلكوا
+
+313
+00:23:52,460 --> 00:23:55,740
+دليل على إن اثنين ماشيين مع بعض، وهي الـthrombin
+
+314
+00:23:55,740 --> 00:23:59,620
+محسنة، وعارفين إيش الكتورب الحمراء هذي؟ عبارة عن
+
+315
+00:23:59,620 --> 00:24:04,760
+fibrin، عبارة عن إيه بالظبط؟ عاملة تقوية، عاملة إيه؟
+
+316
+00:24:04,760 --> 00:24:09,680
+أسباب تشبيك، أي بقى، حسبت يبقى صار في platelet
+
+317
+00:24:09,680 --> 00:24:14,400
+aggregation، فالـplatelet aggregation هذا هي
+
+318
+00:24:14,400 --> 00:24:16,880
+chemical changes cause platelets to aggregate and
+
+319
+00:24:16,880 --> 00:24:21,060
+stick to one another، أكيد صار في وسط مليانة مواد
+
+320
+00:24:21,060 --> 00:24:26,140
+كيميائية، كل هذه المواد بتعمل على إيش؟ على إنه يشير
+
+321
+00:24:26,140 --> 00:24:29,500
+فيه platelet aggregation، تحفظ newly arriving
+
+322
+00:24:29,500 --> 00:24:33,920
+platelets، كل platelets بتيجي become activated by
+
+323
+00:24:33,920 --> 00:24:40,380
+agonist، ثم aggregation is triggered by platelet
+
+324
+00:24:40,380 --> 00:24:50,030
+factor 3، ثم ADP، ثم طمبق وطمبق سيريتو، شايفين الـ
+
+325
+00:24:50,030 --> 00:24:52,890
+aggregation إيش صار؟ platelet factor ثلاثة، إيش هو
+
+326
+00:24:52,890 --> 00:24:56,310
+شبه.. لو الصفحة اللي بتوفره لـplatelet عشان إيش هو
+
+327
+00:24:56,310 --> 00:24:58,290
+عشان إيش هو.. هو اللي أدفش في ليلة الـmembrane اللي
+
+328
+00:24:58,290 --> 00:25:03,050
+موجود وين؟ في الـmembrane of platelet، وهو برهان
+
+329
+00:25:03,050 --> 00:25:09,030
+الصفحة، مظبوط بتوفره لـplatelet عشان إيش؟
+
+330
+00:25:14,070 --> 00:25:16,470
+ولكن بالتامة عملية الـaggregation جانوا بالتامة
+
+331
+00:25:16,470 --> 00:25:22,010
+خلال الارتباط بالرسيبتور الثاني اسمه GPIIb/IIIa، GPIIb/IIIa
+
+332
+00:25:22,010 --> 00:25:26,910
+ماشي، برتبط في مين؟ برتبط مع الفيبرينوجين، شو بعمل
+
+333
+00:25:26,910 --> 00:25:31,610
+الفيبرينوجين؟ بربط كل ثاني platelet مع بعض، وبالتالي
+
+334
+00:25:31,610 --> 00:25:35,570
+بيصير فيه إيش؟ platelet aggregation، وقلنا في هذه
+
+335
+00:25:35,570 --> 00:25:41,070
+الخطوة الـcalcium is present لازم يكون موجود، وكمان
+
+336
+00:25:41,070 --> 00:25:44,290
+thromboxane A2، وهو كلها طالعة لإنه بيعمل platelet
+
+337
+00:25:44,290 --> 00:25:48,650
+aggregation، هاي كالسيوم، thromboxane A2، thromboxane A2
+
+338
+00:25:48,650 --> 00:25:52,450
+is a stimulus or another stimulus، وبيصير فيه
+
+339
+00:25:52,450 --> 00:25:55,190
+platelet aggregation، طبعا ما تنسى إنه في ADP في
+
+340
+00:25:55,190 --> 00:25:59,370
+thrombin، في thromboxane A2، لإن ما تمت صار في platelet
+
+341
+00:25:59,370 --> 00:26:02,150
+aggregation، it's irreversible and no more
+
+342
+00:26:02,150 --> 00:26:06,030
+reversibility is there، بيصير فيه disaggregation ما
+
+343
+00:26:06,030 --> 00:26:08,370
+بيصير في أي disaggregation
+
+344
+00:26:11,420 --> 00:26:15,820
+الـplatelet شباب هي شد platelet شد بمعنى.. إيش
+
+345
+00:26:15,820 --> 00:26:22,400
+يعني؟ shedding، تقشير، ماشي؟ shedding بمعنى تتقشر،
+
+346
+00:26:22,400 --> 00:26:27,000
+تطلع، بتطلع منها إيش؟ shed membranes اللي هو
+
+347
+00:26:27,000 --> 00:26:33,200
+الـmembrane rich in phospholipids، لأن الـmembrane
+
+348
+00:26:33,200 --> 00:26:38,660
+تبعها درعنية، appearance of platelet factor 3 بيظهر
+
+349
+00:26:38,660 --> 00:26:43,170
+على شكل factor 3، platelet factor 3 on the platelet
+
+350
+00:26:43,170 --> 00:26:47,090
+membrane، فبالتالي
+
+351
+00:26:47,090 --> 00:26:51,690
+صار لها aggregation، وصار فيه توفير لسطح جديد وهو
+
+352
+00:26:51,690 --> 00:26:55,950
+إيه؟ platelet factor 3 على سطح مين؟ على سطح البلد
+
+353
+00:26:55,950 --> 00:26:59,970
+this happens during platelet formation
+
+354
+00:27:03,140 --> 00:27:07,800
+وانت سيرف as academic sites، نفس هي ده الـplatelet
+
+355
+00:27:07,800 --> 00:27:14,580
+factor ثلاثة بيمثل سطح بيمشط كون الـcoagulation
+
+356
+00:27:14,580 --> 00:27:18,160
+cascade mechanism، كون الـcoagulation factor على
+
+357
+00:27:18,160 --> 00:27:23,430
+سطح، على هذا السطح الجديد بتتنشط وبتكون عيش اللي هو
+
+358
+00:27:23,430 --> 00:27:27,150
+الـfibrin formation، الـfibrin formation، يبقى هي
+
+359
+00:27:27,150 --> 00:27:31,930
+وفّرت سطح لمين؟ لنشاط الـcoagulation cascade
+
+360
+00:27:31,930 --> 00:27:35,030
+mechanism، أو نشاط الـcoagulation factor، معايا يا
+
+361
+00:27:35,030 --> 00:27:40,810
+أبو إشمعي؟ مع الله، هاي العملية، هاي الـplate
+
+362
+00:27:40,810 --> 00:27:44,590
+اللي blood غزل صار فيه نزع طلب منه زندريبان، مسيك
+
+363
+00:27:44,590 --> 00:27:47,710
+الـplatelet و platelet ربطت حالها مع platelet
+
+364
+00:27:47,710 --> 00:27:55,660
+الثانية من خلال الـfibrin formation، خلال طبعا
+
+365
+00:27:55,660 --> 00:27:58,880
+في وجود الـcalcium و الـfibrinogen، مظبوط، بدنا
+
+366
+00:27:58,880 --> 00:28:04,300
+calcium و بدنا إيش 100%، فلنفتح هذا الـميكانيزم
+
+367
+00:28:04,300 --> 00:28:09,280
+خدنا من التفصيل محصلته إيش؟ thromboxane A2 formation
+
+368
+00:28:09,280 --> 00:28:12,780
+which is إيش؟ aggregate platelet aggregate، وهي
+
+369
+00:28:12,780 --> 00:28:19,000
+بيعمل as، وهذه الصورة بتبين إيش اللي هو هذه الـ
+
+370
+00:28:19,000 --> 00:28:24,660
+platelet free على سطح الـreceptor، ممسوك يا باشي؟
+
+371
+00:28:24,660 --> 00:28:30,900
+ماشي، ممسوك يوم متعارض لـagonist زي الـADP و الـ
+
+372
+00:28:30,900 --> 00:28:34,580
+thromboxane و الـthrombin، هي جالك myprologen
+
+373
+00:28:34,580 --> 00:28:39,180
+ماشي، وربطة لتل الـplatelet مع بعض، ربط إيه؟ لإن
+
+374
+00:28:39,180 --> 00:28:46,140
+هؤلاء دي are strong aggregants، ماشي يا شباب، و
+
+375
+00:28:46,140 --> 00:28:49,660
+هالصورة بتبين ليهاش؟ platelet aggregation، شايفين
+
+376
+00:28:49,660 --> 00:28:54,840
+كيف؟ كل الـ Platelet مربوطة مع بعض أنت باين معايا؟
+
+377
+00:28:54,840 --> 00:29:03,300
+حد عنده سؤال؟ أحسن كتير حد عنده سؤال؟ طب انتبهوا
+
+378
+00:29:03,300 --> 00:29:06,940
+عليا على الـ animation ماشي لأن هنظر فيه animation
+
+379
+00:29:06,940 --> 00:29:11,640
+بده يبين أن العملية كيف بتصير ماشي هاي الـ Platelet و
+
+380
+00:29:11,640 --> 00:29:15,140
+زي ما تلاحظوا فيه Receptor على سطحها بتمثل
+
+381
+00:29:15,140 --> 00:29:19,200
+different Agonist مش ماشي طبعا السهم اللي إيه هذا
+
+382
+00:29:19,200 --> 00:29:24,560
+هو بتنجر من واحد للتاني كل Agonist عنده استعداد
+
+383
+00:29:24,560 --> 00:29:27,120
+ينشط هذا الـ Receptor و هذا الـ Receptor تبع مين
+
+384
+00:29:27,120 --> 00:29:34,430
+Aggregation يعني بيعمل إيه Aggregation كل Receptor
+
+385
+00:29:34,430 --> 00:29:39,450
+نشوف اه شايفين؟ طبعا زي اللي أنتو شايفينه فينا
+
+386
+00:29:39,450 --> 00:29:43,770
+Collagen Receptor, ADP, Epinephrine أو Adrenaline
+
+387
+00:29:43,770 --> 00:29:49,330
+و Thrombin، Strong، Thrombin، أدوين ماشي، شو اللي
+
+388
+00:29:49,330 --> 00:29:52,910
+صار؟ ده هو، هاي الـ Collagen برضه بعمل Direct
+
+389
+00:29:52,910 --> 00:29:58,650
+Activation المفروشة بقى طبعا ال .. ده البداية بت
+
+390
+00:29:58,650 --> 00:30:03,630
+.. بتصير كأنه الـ Endothelia أي Blood Vessels النزع
+
+391
+00:30:03,630 --> 00:30:12,030
+طلع منه إيش؟ فسك في مين؟ 100% عامل إيش؟ Adhesion
+
+392
+00:30:12,030 --> 00:30:17,550
+وطبعا تلال Adhesion تنشيط لإنه ما طبعا تنشط GP1B
+
+393
+00:30:17,550 --> 00:30:24,570
+بنشطت مين؟ GP2B3A فهذه بتعمل التانية بيصير في إيش؟
+
+394
+00:30:24,570 --> 00:30:31,630
+أجل بتعمل تنشط الأولاني وبنشط التاني فبعمل إيه؟
+
+395
+00:30:31,630 --> 00:30:36,930
+Platelet Aggregation وان
+
+396
+00:30:36,930 --> 00:30:41,570
+الصورة ده هي Blood Vessels طلع منه Tissue Factor
+
+397
+00:30:41,570 --> 00:30:45,130
+مزعق فطلع منه إيه؟ Tissue Factor Tissue Factor
+
+398
+00:30:45,130 --> 00:30:48,630
+بنشط إيه؟ Coagulation Factor نشط إيه؟ Coagulation
+
+399
+00:30:48,630 --> 00:30:52,350
+Factor يعني هذا كذلك العوامل نشطت الـ Platelet وهذا
+
+400
+00:30:52,350 --> 00:30:57,960
+نشط إيه؟ Coagulation Factor التنين بيعملوا Primary
+
+401
+00:30:57,960 --> 00:31:04,140
+و Secondary Hemostatic Plug وهنا ارتباط لـ Platelet هذا
+
+402
+00:31:04,140 --> 00:31:10,100
+هي تدعى بـ مومي الـ Platelet عملية الاتهيجة كيف يتم
+
+403
+00:31:10,100 --> 00:31:13,540
+تنشيط الـ Coagulation Factor على سطح الـ Platelet بتتم
+
+404
+00:31:13,540 --> 00:31:21,080
+كليته يا شباب ماشي؟ هذه الـ Platelet الـ Membrane تبعها
+
+405
+00:31:21,080 --> 00:31:27,020
+فيه Phospholipid ماشي؟ متمثلبالـ Phosphatidyl
+
+406
+00:31:27,020 --> 00:31:31,720
+Serine Substance Phosphatidyl Serine Substance
+
+407
+00:31:31,720 --> 00:31:34,940
+موجودة في الـ Membrane؟ اه موجودة في الـ Membrane يعني و
+
+408
+00:31:34,940 --> 00:31:41,580
+قبل Binding to any Agonist و طبعا هنا الـ Thrombin
+
+409
+00:31:41,580 --> 00:31:45,800
+هنا Is an example of Strong Agonist شو بيصير؟ يعني
+
+410
+00:31:45,800 --> 00:31:49,940
+بتتنشط لـ Platelet فشو اللي بيصير؟ بتطلع
+
+411
+00:31:49,940 --> 00:31:53,740
+Phosphatidyl Serine يعني بتتنشط
+
+412
+00:31:56,040 --> 00:32:00,140
+Activation فتطلع الـ Phosphatidyl Serine من جوا الـ
+
+413
+00:32:00,140 --> 00:32:06,740
+Platelet إلى سطح الـ Platelet ماشي؟ إيه طلعت
+
+414
+00:32:06,740 --> 00:32:09,920
+الـ Phosphatidyl Serine ولما تطلع الـ Phosphatidyl Serine
+
+415
+00:32:09,920 --> 00:32:15,280
+على سطح الـ Platelet بتشكل Negative Charge بتشكل
+
+416
+00:32:15,280 --> 00:32:19,980
+Negative Charge وهذا المطلوب Negative Charge for
+
+417
+00:32:19,980 --> 00:32:23,460
+Activation of Coagulation Cascade Mechanism عشان
+
+418
+00:32:23,460 --> 00:32:26,440
+هيك بكرا لما نبقى في الـ Coagulation فالـ Cascade
+
+419
+00:32:26,440 --> 00:32:30,660
+Mechanism هنعرف أنه Upon the Presence of Negative
+
+420
+00:32:30,660 --> 00:32:33,700
+Charge بيصير فيه Activation فمين اللي هو أكثر
+
+421
+00:32:33,700 --> 00:32:38,780
+Negative Charge؟ اللي هو جاي من وين؟ جاي من الـ
+
+422
+00:32:38,780 --> 00:32:42,400
+Platelet، ماشي، Platelet، Phospholipid Platelet
+
+423
+00:32:42,400 --> 00:32:47,100
+Phospholipid Membrane ماشي طلعت وكونت Negative Charge
+
+424
+00:32:47,100 --> 00:32:50,900
+شو باش شططت الـ Coagulation Cascade Mechanism اللي
+
+425
+00:32:50,900 --> 00:32:58,080
+محصلته Thrombin Formation والثرومبين بيشتغل على مين؟
+
+426
+00:32:58,080 --> 00:33:00,900
+على الـ Fibrin و بيحاولوا لمين؟ على الـ Fibrin و
+
+427
+00:33:00,900 --> 00:33:04,020
+بيكونوا الـ Adhesion Thrombin Static Plug هي عبارة عن
+
+428
+00:33:04,020 --> 00:33:09,920
+أن هي Stable Stable مش Work of Fiber وهو ربعا Solid
+
+429
+00:33:09,920 --> 00:33:15,220
+لأنه ببدأ في الأول فرجال ثم Solid وبالتالي بيقول
+
+430
+00:33:15,220 --> 00:33:18,740
+جلطة اللي صارت ولا ما بيقوّها لأنه صار على سطح
+
+431
+00:33:18,740 --> 00:33:21,700
+Replated ولا لا يبقى في الأول بيصير فيه Primary
+
+432
+00:33:21,700 --> 00:33:25,660
+Hemostatic Plug ثم Secondary Hemostatic Plug
+
+433
+00:33:25,660 --> 00:33:29,740
+Formation فبناخد السؤال شباب أنه في هذه العملية في
+
+434
+00:33:29,740 --> 00:33:33,160
+Thromboxane A2 Cell Facets بيجاية من وين؟
+
+435
+00:33:37,860 --> 00:33:41,120
+Mechanism من الـ Arachidonic Acid اللي جاي من الـ
+
+436
+00:33:41,120 --> 00:33:45,120
+Phospholipid Membrane، بتحوله بالدينى Thromboxane
+
+437
+00:33:45,120 --> 00:33:50,520
+A2، مين بيعمل Inhibition هذا الـ Mechanism؟ Baby
+
+438
+00:33:50,520 --> 00:33:55,820
+Aspirins، إيش بيعمل الـ Baby Aspirin؟ بيعمل
+
+439
+00:33:55,820 --> 00:33:58,300
+Inhibition للـ Cyclooxygenase Enzyme اللي بيحول
+
+440
+00:33:58,300 --> 00:34:04,880
+الـ Arachidonic Acid اللي عيش إلى Thromboxane A2 طبعا هذه
+
+441
+00:34:04,880 --> 00:34:08,920
+صورة تتمثل الـ Aggregation هي Two-Platelet جمعت في
+
+442
+00:34:08,920 --> 00:34:15,420
+النص في الـ Hyperallergic نجنس يا شباب أن احنا في
+
+443
+00:34:15,420 --> 00:34:18,620
+الورقة الطبيعي الـ Heparin موجود على سطح الـ Blood
+
+444
+00:34:18,620 --> 00:34:24,700
+Vessels بشكل طبيعي As Heparan Sulfate لكن لما يصير
+
+445
+00:34:24,700 --> 00:34:31,120
+فيه مزع مقنوض منها أنه نوقف عمله، نوقف عمله لإنه
+
+446
+00:34:31,120 --> 00:34:34,880
+يتكون جلطة، لإنه بيشتغل As Anticoagulant، مين
+
+447
+00:34:34,880 --> 00:34:39,000
+بيوقف عمله؟ Platelet Factor 4، Platelet Factor 4
+
+448
+00:34:39,000 --> 00:34:45,340
+بيشتغل As a Neutralizer لليش؟ آخر خطوة من خطوات الـ
+
+449
+00:34:45,340 --> 00:34:50,320
+Platelet Activation هي عبارة عن شغل الـ Coagulation
+
+450
+00:34:50,320 --> 00:34:53,450
+Factor، ملاقش، ملاقش علاقة لـ Platelet في الموضوع كل
+
+451
+00:34:53,450 --> 00:34:57,510
+اللي بيصير إنه بتكون رشّة Regulation Factor على سطح
+
+452
+00:34:57,510 --> 00:35:01,290
+الـ Platelet بتكون Thrombin، و Thrombin بيكون Fibrin،
+
+453
+00:35:01,290 --> 00:35:06,090
+الـ Fibrin Stabilize the إيش، the Clot، وبالتالي
+
+454
+00:35:06,090 --> 00:35:13,130
+بيصير فيه Clot Formation. ماشي
+
+455
+00:35:13,130 --> 00:35:17,850
+يا شباب، هد ندو سؤال، هد هي الـ وظائف أو الـ خطوات
+
+456
+00:35:17,850 --> 00:35:24,820
+التي تمر فيها الـ Platelet في أثناء عملية نشاطها طيب،
+
+457
+00:35:24,820 --> 00:35:28,760
+في عوامل أخرى، في أنشطة أخرى تقوم فيها الـ
+
+458
+00:35:28,760 --> 00:35:32,520
+Platelet، خلّينا نشوف، يعني لو Platelet بالإضافة
+
+459
+00:35:32,520 --> 00:35:38,740
+إلى ذلك، اتفقنا عليها أنها بتوفر سطح، ساحة معركة،
+
+460
+00:35:38,740 --> 00:35:44,520
+لمين؟ للـ Secondary Hemostasis المتمثل بمشروع الـ
+
+461
+00:35:44,520 --> 00:35:48,320
+Coagulation Casking Mechanism، مظبوط؟ مين اللي
+
+462
+00:35:48,320 --> 00:35:52,760
+بيشكل هذا الكلام؟ Platelet Factor تلاتة، ماشي؟
+
+463
+00:35:52,760 --> 00:35:57,960
+اللي هو مانا عنفش في البنت، أو Platelet الحاجة
+
+464
+00:35:57,960 --> 00:36:05,920
+التانية إنها بتشكل Support داعمة، داعمة و محافظة
+
+465
+00:36:05,920 --> 00:36:11,280
+على الـ Endothelial Lining Cell لأنها تحافظ على
+
+466
+00:36:11,280 --> 00:36:17,180
+تابعية البطاريات الطبيعية من خلال إدخال الاختلافات
+
+467
+00:36:17,180 --> 00:36:24,940
+بينها وبين البطاريات طبعا الـ Defective يا شباب أي
+
+468
+00:36:24,940 --> 00:36:31,720
+عملية من هذا النوع ما تصارش بتعني أن فيه Defective
+
+469
+00:36:31,720 --> 00:36:36,780
+Hemostatic Mechanism وإذا كانت بتخص لـ Primary
+
+470
+00:36:36,780 --> 00:36:41,520
+Hemostesis هذا يعني أن فيه خلل بيتمثل هذا الخلل
+
+471
+00:36:41,520 --> 00:36:45,640
+إما Quantitatively وإما Qualitatively يا مافيش Platelet
+
+472
+00:36:45,640 --> 00:36:49,760
+يا ما الـ Platelet بتشتغلش ماشي يا مافيش Platelet
+
+473
+00:36:49,760 --> 00:36:52,980
+يا ما ياش الـ Platelet بتشتغلش
+
+474
+00:36:52,980 --> 00:36:57,040
+Quantitatively or Qualitatively تعرفوا الحاجات
+
+475
+00:36:57,040 --> 00:37:00,840
+اللي هي هذه بتمثل الحاجات المنشرة شباب ADP,
+
+476
+00:37:01,900 --> 00:37:08,390
+Thrombin, Collagen, Serotonin, Thrombocytin and
+
+477
+00:37:08,390 --> 00:37:12,310
+Mechanical Stimuli. Mechanical Stimuli شو المعنى؟
+
+478
+00:37:12,310 --> 00:37:18,870
+الـ Injury. أو Shear Forces إذا زادت. Shear Forces
+
+479
+00:37:18,870 --> 00:37:22,790
+كمان إذا زادت بتعني أنك هذه عبارة ممكن تعمل
+
+480
+00:37:22,790 --> 00:37:27,890
+Mechanical Injury. ماشي يا شباب؟ شو بتعني هذه
+
+481
+00:37:27,890 --> 00:37:33,890
+الشغلات؟ كلنا They are Platelet Activators. ماشي؟
+
+482
+00:37:34,350 --> 00:37:38,690
+فبوكتشفت كورنالودان قالوله إذا كان في Different
+
+483
+00:37:38,690 --> 00:37:42,430
+Hormonal Stimuli، These are Stimuli, Substances
+
+484
+00:37:42,430 --> 00:37:47,870
+وموجودهم يعني أن فيه Several Different Receptors
+
+485
+00:37:47,870 --> 00:37:52,610
+على سطح الـ Platelet وإلا كيف بتم الـ Action تبعهم،
+
+486
+00:37:52,610 --> 00:37:57,380
+كيف بتم تنفيذ العمل تبعهم كلنا بنعرف ما زالت
+
+487
+00:37:57,380 --> 00:37:59,760
+Chemical Substance لازم تمسك في Receptor و الـ
+
+488
+00:37:59,760 --> 00:38:02,560
+Receptor يعني في Signal Transduction و الـ Signal
+
+489
+00:38:02,560 --> 00:38:07,000
+Transduction يعني في Function صح؟ مش أخدته؟ لازم
+
+490
+00:38:07,000 --> 00:38:12,700
+تمسك في Receptor و الـ Receptor ناشي بيتبعه Signal
+
+491
+00:38:12,700 --> 00:38:17,440
+Transduction يعني في Signal بده يتصل داخل النيل
+
+492
+00:38:17,440 --> 00:38:20,880
+إلى الـ Planet أو الخلية و تاعه بيصير فيه إيش؟
+
+493
+00:38:20,880 --> 00:38:24,340
+بيصير Function ففي Multiple Signaling Pathway
+
+494
+00:38:24,340 --> 00:38:29,870
+مطبوعة الـ Function كمان من المصطلحات اللي ما بين
+
+495
+00:38:29,870 --> 00:38:32,890
+عليها مصطلح الـ Agonist و الـ Agonist اتعرفناه بإن
+
+496
+00:38:32,890 --> 00:38:36,970
+هو عبارة عن أي مادة بترتبط بسطح لـ Platelet و بتعمل
+
+497
+00:38:36,970 --> 00:38:43,130
+Platelet Activation بترتبط بسطح لـ Platelet و بتعمل
+
+498
+00:38:43,130 --> 00:38:47,370
+Platelet Activation وهذه أمثلة على Agonist مختلفة
+
+499
+00:38:47,370 --> 00:38:52,390
+لـ ADP, Collagen, Thrombin, Epinephrine, Arachidonic
+
+500
+00:38:52,390 --> 00:38:52,730
+Acid,
+
+501
+00:39:04,210 --> 00:39:08,450
+هذا مثال من مصادر الوصول للتعليقات، وهذا مثال من 
+
+502
+00:39:08,450 --> 00:39:09,810
+مصادر الوصول للتعليقات، وهذا مثال من مصادر الوصول
+
+503
+00:39:09,810 --> 00:39:11,210
+للتعليقات، وهذا مثال من مصادر الوصول للتعليقات،
+
+504
+00:39:11,210 --> 00:39:14,410
+وهذا مثال من مصادر الوصول للتعليقات، وهذا مثال من 
+
+505
+00:39:14,410 --> 00:39:14,790
+مصادر الوصول للتعليقات، وهذا مثال من مصادر الوصول
+
+506
+00:39:14,790 --> 00:39:18,230
+للتعليقات، وهذا مثال من مصادر الوصول للتعليقات،
+
+507
+00:39:18,230 --> 00:39:21,070
+وهذا مثال من مصادر الوصول للتعليقات، وهذا مثال من 
+
+508
+00:39:21,070 --> 00:39:24,830
+مصادر الوصول للتعليقات، وهذا مثال من مصادر الوصول
+
+509
+00:39:24,830 --> 00:39:27,730
+للتعليقات، وهذا مثال 
diff --git a/PL9fwy3NUQKwZk82_1AeatKVgXG0nDxlHE/XfuCeEmG_MY_raw.srt b/PL9fwy3NUQKwZk82_1AeatKVgXG0nDxlHE/XfuCeEmG_MY_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..c645f3942bb76bb385f412d9dc1ba4fff5b7bfa6
--- /dev/null
+++ b/PL9fwy3NUQKwZk82_1AeatKVgXG0nDxlHE/XfuCeEmG_MY_raw.srt
@@ -0,0 +1,1032 @@
+1
+00:00:20,890 --> 00:00:24,470
+عظم الله مش طازج باسم الله الرحمن الرحيم طيب اليوم
+
+2
+00:00:24,470 --> 00:00:27,070
+ان شاء الله هحكي في thrombotic disease or
+
+3
+00:00:27,070 --> 00:00:35,450
+disorders و من الإسم يا شباب by definition they
+
+4
+00:00:35,450 --> 00:00:40,370
+are disease that are inherited or acquired
+
+5
+00:00:40,370 --> 00:00:46,490
+inherited or acquired بيتميزوا بوجود جلطة بتتكون
+
+6
+00:00:46,490 --> 00:00:47,510
+في الوعاء قدامهم
+
+7
+00:00:57,700 --> 00:01:06,440
+أو partially obstructed يعني إغلاق جزهي وقد تنفصل
+
+8
+00:01:06,440 --> 00:01:13,980
+جزء من هذه الجلطة وينزل الدولة الدموية إلى مكان
+
+9
+00:01:13,980 --> 00:01:18,640
+آخر ويسبب جلطة في مكان آخر ويسبب جلطة في مكان آخر
+
+10
+00:01:18,640 --> 00:01:19,920
+يسمون هذه الظاهرة
+
+11
+00:01:23,820 --> 00:01:31,600
+impolism و .. يعني
+
+12
+00:01:31,600 --> 00:01:34,540
+by definition thromboimpolism هي عبارة عن أمراض
+
+13
+00:01:34,540 --> 00:01:39,340
+بتتكون من خلالها أو فيها جلطة في مكان ما من
+
+14
+00:01:39,340 --> 00:01:44,320
+الأواياء الدموية thrombus, clot is a thrombus اسم
+
+15
+00:01:44,320 --> 00:01:51,390
+الآخر للجلطة لclot هي عبارة عن ايه؟ thrombusالذي
+
+16
+00:01:51,390 --> 00:01:55,890
+يمكن أن يتكوّن في الوعاء الدموطبان كان artery or
+
+17
+00:01:55,890 --> 00:02:01,530
+vein مصطلح الثرومبوس ريبايتس هو عبارة عن جلطة
+
+18
+00:02:01,530 --> 00:02:06,270
+مصحوبة بinflammation وبعض الجلطات زي ما قلت لكم
+
+19
+00:02:06,270 --> 00:02:13,090
+ممكن تكون superficial وطراب العين المجردة أشهرها
+
+20
+00:02:13,090 --> 00:02:18,110
+هو ال DVT deep venous thrombosis اللي قد يؤدي إلى
+
+21
+00:02:19,470 --> 00:02:26,490
+embolism أو جلطة في الـ lung جلطة في الـ lung deep
+
+22
+00:02:26,490 --> 00:02:36,990
+venous thrombosis deep venous thrombosis ماشي
+
+23
+00:02:36,990 --> 00:02:41,670
+قسموا هذه الأمراض إلى قسمين كانوا إما familial أو
+
+24
+00:02:41,670 --> 00:02:48,730
+non-familial أو تقسيمة تانية هي physiological أو
+
+25
+00:02:50,420 --> 00:02:53,600
+الـ non-familial ممكن تكون physiological أو
+
+26
+00:02:53,600 --> 00:02:57,680
+pathological physiological أو pathological و الآن
+
+27
+00:02:57,680 --> 00:03:02,020
+هنشوف هذه التقسيمة طبعا يعني هذه من أحلى التقسيمات
+
+28
+00:03:02,020 --> 00:03:05,020
+اللي موجودة زى ما انتوا شايفين هي الجزء الفوغانى
+
+29
+00:03:05,020 --> 00:03:09,480
+هو عبارة عن inherited disorders و بيندلش تحتى
+
+30
+00:03:09,480 --> 00:03:15,560
+أمثلة كثيرة منها factor V Leiden سمعتوا هى؟ لأ
+
+31
+00:03:15,560 --> 00:03:19,380
+شرحته أنا بس هنشتغل التفاصيل تجلجوش ثم Prothrombin
+
+32
+00:03:22,480 --> 00:03:27,800
+20210A هو رقم الـ mutation اللي حدث فيها ثم
+
+33
+00:03:27,800 --> 00:03:31,980
+protein C deficiency هي protein C protein S
+
+34
+00:03:31,980 --> 00:03:36,300
+deficiency antithrombin deficiency and
+
+35
+00:03:36,300 --> 00:03:40,500
+hyperhomocystinemia وكلها inherited disorders
+
+36
+00:03:40,500 --> 00:03:46,440
+inherited disorders طبعا كلها بتؤدي لthroposis
+
+37
+00:03:48,470 --> 00:03:52,910
+ثم ال acquired diseases او protobiotic stimulus
+
+38
+00:03:52,910 --> 00:03:57,950
+منها ال antiphospholipid syndrome or antibodies
+
+39
+00:03:57,950 --> 00:04:04,570
+أكيد سمعتوا فيه، antiphospholipid antibody، طيب
+
+40
+00:04:04,570 --> 00:04:12,700
+ماشي مش أفضل، ايوة، ثم مالك نانسيو Immobilization
+
+41
+00:04:12,700 --> 00:04:17,460
+و Surgery و Pregnancy و Estrogen from a hepalin
+
+42
+00:04:17,460 --> 00:04:23,340
+-induced thrombocytopenia كلهم عبارة عن inducer or
+
+43
+00:04:23,340 --> 00:04:31,900
+stimulus للثروبوسس كلهم يودّي إلى ال thrombosis ان
+
+44
+00:04:31,900 --> 00:04:37,880
+شاء الله هنتطرخ لكل لأنثى كثيرة من كلا النوعين كلا
+
+45
+00:04:37,880 --> 00:04:45,090
+النوعينطبعا بدي أذكركم في الاخ virtue سمعناها اظن
+
+46
+00:04:45,090 --> 00:04:49,710
+بالتفصيل الممل في محاضرة .. المحاضرة الأولى،
+
+47
+00:04:49,710 --> 00:04:55,690
+مظبوط؟ لما بدينا نشرح ال private and external
+
+48
+00:04:55,690 --> 00:05:03,690
+and exogenous، مظبوط؟ طبعا هذا بيشرح أسباب تكوين
+
+49
+00:05:03,690 --> 00:05:08,430
+الجلطة، مظبوط؟ أسباب تكوين الجلطة، طبعا أي خلل فيه
+
+50
+00:05:08,570 --> 00:05:13,630
+الأواعي الدموية أو في مكوناتها أو في محتوها
+
+51
+00:05:13,630 --> 00:05:20,170
+الخارجي أو الداخلي بيودي لجلده من
+
+52
+00:05:20,170 --> 00:05:24,530
+ال clinical condition which is associated with
+
+53
+00:05:24,530 --> 00:05:28,150
+thrombotic disease ال immobility جلة الحركة الشباب
+
+54
+00:05:28,150 --> 00:05:29,470
+دي كلها عبارة عن risk factor
+
+55
+00:05:38,120 --> 00:05:43,140
+smoking ثم cancer ماليجنانسي ماليجنانسي and
+
+56
+00:05:43,140 --> 00:05:47,120
+estrogen therapy كلها عبارة عن stimulus لا إيش لا
+
+57
+00:05:47,120 --> 00:05:53,860
+thrombus formation thrombus formation كانوا
+
+58
+00:05:53,860 --> 00:05:57,340
+أنواع جلطات هي أنواعين إما بتحدث في ال artery و
+
+59
+00:05:57,340 --> 00:06:02,780
+إما في ال vein يسموها arterial thrombosis و venous
+
+60
+00:06:02,780 --> 00:06:03,740
+thrombosis
+
+61
+00:06:05,980 --> 00:06:10,180
+و جالوا ان الـ arterial thrombosis جلطة اللى
+
+62
+00:06:10,180 --> 00:06:14,720
+بتتكون فى الأرض هي برا white thrombus والاسم جاي
+
+63
+00:06:14,720 --> 00:06:21,600
+لإن مكوناتها بيضاء اللون تتكون من ال platelet
+
+64
+00:06:21,600 --> 00:06:27,940
+تتكون من أيهاش؟ من ال platelet ماشى؟ و طبعا ال
+
+65
+00:06:27,940 --> 00:06:35,840
+platelet مرتبط بإيهاش؟بالـ Collagen تتنشط و تخرجت،
+
+66
+00:06:35,840 --> 00:06:39,900
+هتشوفوا الـ Mechanism الـ Venus Thrombosis
+
+67
+00:06:39,900 --> 00:06:43,400
+بيعتبروا
+
+68
+00:06:43,400 --> 00:06:47,760
+الجلطة Fibrin Based يعني أساس الجلطة الـ
+
+69
+00:06:47,760 --> 00:06:52,000
+Coagulation Factor اتنشطت و كونت Fibrin و الـ
+
+70
+00:06:52,000 --> 00:06:57,940
+Fibrin كون جلطة ماشي و الجلطة في هذا الحالة بيدخل
+
+71
+00:06:57,940 --> 00:07:04,950
+في تركيب الـ RBCs مما يؤتي إلىإن سير لونها Red و
+
+72
+00:07:04,950 --> 00:07:08,950
+بيسموها Red Thrombus إيش بيسموها؟ Red Thrombus
+
+73
+00:07:08,950 --> 00:07:12,030
+يبقى ال artery هي عبارة عن White Thrombus و ال
+
+74
+00:07:12,030 --> 00:07:18,670
+vein هي عبارة عن Red Thrombus طيب نشوف كيف تتم
+
+75
+00:07:18,670 --> 00:07:26,170
+القالية في كلا الحالتين نبدا من ال arterial
+
+76
+00:07:26,170 --> 00:07:27,110
+formation
+
+77
+00:07:30,160 --> 00:07:34,100
+وانتقوا عليها شباب، شو اللي بيصير؟ كنا خدنا تركيبة
+
+78
+00:07:34,100 --> 00:07:37,880
+الوعاء الدموي، وكنا الوعاء الدموي يتكوّم الخلايا
+
+79
+00:07:37,880 --> 00:07:42,220
+ابثيلية مبطنة لجدار الوعاء الدموي، و هذه الخلايا
+
+80
+00:07:42,220 --> 00:07:47,560
+بتكون طبقة خاصة منها عرفناها منها smooth، smooth،
+
+81
+00:07:47,560 --> 00:07:52,920
+ال non-thrombogenic، non-thrombogenic، وإن الإبلات
+
+82
+00:07:52,920 --> 00:07:55,700
+لما تيجي تقعد عليها، شو بيصلها؟
+
+83
+00:08:00,930 --> 00:08:07,170
+مواد قولنا إما Anti-coagulant أو Pro-coagulant 100
+
+84
+00:08:07,170 --> 00:08:11,170
+% المعظم Anti-coagulant في ال condition عادية
+
+85
+00:08:20,270 --> 00:08:25,250
+و يوم ما اتبطل تعمل ال platelets بما تيجي تجه الى
+
+86
+00:08:25,250 --> 00:08:30,070
+الاسوسيا هذه صورة بيناراها جالية في ال
+
+87
+00:08:30,070 --> 00:08:35,430
+atherosclerosis تصلب الشرايين ال atherosclerosis
+
+88
+00:08:35,430 --> 00:08:40,290
+ال epithelial cells بتبطل non-thrombogenic بل
+
+89
+00:08:40,290 --> 00:08:46,500
+بتتحول الى thrombogenic layerماشى، ليش نتيجة تكون
+
+90
+00:08:46,500 --> 00:08:52,300
+كميات كبيرة من المخلفات اسمها bleak، bleak بمعنى
+
+91
+00:08:52,300 --> 00:08:58,280
+طعوم، بطل إيش الوعاء الدموي healthy، بطل إيش
+
+92
+00:08:58,280 --> 00:09:03,780
+الوعاء الدموي healthy وبالتالي صار thrombogenic
+
+93
+00:09:03,780 --> 00:09:08,950
+ليه؟ وبالتالي صارتيش تمسك في البلاديبقى بداية
+
+94
+00:09:08,950 --> 00:09:12,510
+تكوين الجلطة في الوعاء الدمو في ال arterial .. في
+
+95
+00:09:12,510 --> 00:09:17,670
+ال arterial هو
+
+96
+00:09:17,670 --> 00:09:23,410
+.. هو غالبا ايه اش؟ ان هو ال platelet تنشطت نتيجة
+
+97
+00:09:23,410 --> 00:09:29,490
+ايه اش؟ انه صار في atherosclerotic condition اش
+
+98
+00:09:29,490 --> 00:09:34,490
+يعني تنشطت؟ تمسكت و بداية نشاطها adhesion و هي
+
+99
+00:09:34,490 --> 00:09:41,470
+adhesionبياليها .. بظبط secretion ففي ADP release
+
+100
+00:09:41,470 --> 00:09:47,930
+وال ADP بنشر ال platelet اللي انمسكت و اللي بدأ
+
+101
+00:09:47,930 --> 00:09:54,090
+تدفع، مظبوط؟ فالمحاصلة بيناق جلطة من ال platelet
+
+102
+00:09:54,090 --> 00:09:59,590
+في منطقة الاتصاق في منطقة الاتصاق هذا بيودي اليش
+
+103
+00:09:59,590 --> 00:10:04,990
+إلى blood formation و obstruction للوعاء الدمويو
+
+104
+00:10:04,990 --> 00:10:09,390
+ischemia و إذا صار فيه ischemia طبعا بيصير فيه
+
+105
+00:10:09,390 --> 00:10:15,470
+organ failure بيصير فيه organ failure
+
+106
+00:10:15,470 --> 00:10:22,650
+طبعا البحثة
+
+107
+00:10:22,650 --> 00:10:28,930
+شباب localized tissue injury والسبب في قلة في ال
+
+108
+00:10:28,930 --> 00:10:32,210
+perfusion ال perfusion يعني إيه إيش؟
+
+109
+00:10:35,950 --> 00:10:41,610
+من Perfusion ارتواء او ان الوعاء الدموي او ال
+
+110
+00:10:41,610 --> 00:10:46,390
+organ بيرتوى بال Oxygen مظبوط لما بيسأل الدم
+
+111
+00:10:46,390 --> 00:10:51,250
+للوعاء الدم هو شو بيسير؟ بيسأل Oxygen فش يو دم فش
+
+112
+00:10:51,250 --> 00:10:53,950
+Oxygen عارف؟ لذا بيسموها
+
+113
+00:10:58,040 --> 00:11:02,340
+المفهوم يا شباب يبقى آلية عمل أو تكوين جلطة في
+
+114
+00:11:02,340 --> 00:11:07,460
+الارطري هي عبارة عن atherosclerosis وقدمه تنشط
+
+115
+00:11:07,460 --> 00:11:14,460
+لبليط تنشط لبليط التواشق وعمل الجلطة ففي ال V
+
+116
+00:11:14,460 --> 00:11:17,760
+الموضوع
+
+117
+00:11:17,760 --> 00:11:23,770
+مختلفالفين بدناش ننساه شباب انه الفين هو بيرجع
+
+118
+00:11:23,770 --> 00:11:29,070
+الدم الى القلب مظبوط يعني الدم الراجع مين بيصير في
+
+119
+00:11:29,070 --> 00:11:33,750
+الفين الدم الراجع على القلب بيصير في الفين غالبا
+
+120
+00:11:33,750 --> 00:11:41,130
+شباب إذا تكونت وتهيأت ظروف لإن هالدم هذا يمشي ببطء
+
+121
+00:11:41,130 --> 00:11:49,140
+او ينحجز في وعاء الدم وفي الفين يعني هذه مشكلةهذه
+
+122
+00:11:49,140 --> 00:11:54,560
+مشكلة ليش؟ قالوا لأنه stagnation of blood حجز الدم
+
+123
+00:11:54,560 --> 00:11:59,280
+في الوعاء الدموي في الvein بيؤدي لتنشيط ال
+
+124
+00:11:59,280 --> 00:12:02,800
+coagulation cascade mechanism بيتنشط ال
+
+125
+00:12:02,800 --> 00:12:06,460
+coagulation cascade وإذا تنشط ال coagulation
+
+126
+00:12:06,460 --> 00:12:11,480
+cascade ليش محصل اتنشاطه؟ fibrin مظبوط؟ و ال
+
+127
+00:12:11,480 --> 00:12:19,280
+fibrin يعني جلطة و بتبدأ هذه الجلطة بالبالإيش؟
+
+128
+00:12:19,280 --> 00:12:26,320
+بالتكون وبالبناء وتبنى الجلطة ومشكلتها إنها بتنبني
+
+129
+00:12:26,320 --> 00:12:31,700
+وبتكون جلطة كبيرة وممكن تكون الجلطة في ال vein في
+
+130
+00:12:31,700 --> 00:12:37,820
+مساحة كبيرة من ال vein فبيكون الهراس ديل اللى ممكن
+
+131
+00:12:37,820 --> 00:12:43,250
+ينفصل جزء منها الديلويروح ع مكان تاني ويروح وين؟ ع
+
+132
+00:12:43,250 --> 00:12:47,550
+مكان تاني ممكن و تجهد في مكان تاني و تعمل إيش؟
+
+133
+00:12:47,550 --> 00:12:51,530
+تعمل pulmonary embolism أو cerebral embolism or
+
+134
+00:12:51,530 --> 00:12:56,250
+whatever أو تروح على ال lung و تعمل مشاكل in
+
+135
+00:12:56,250 --> 00:12:59,990
+adequate oxygen و cellucarbon and CO2 exchange
+
+136
+00:12:59,990 --> 00:13:07,610
+وبالتالي المحاصلة اللي هو pulmonary
+
+137
+00:13:07,610 --> 00:13:08,230
+embolism
+
+138
+00:13:14,370 --> 00:13:20,090
+فهموه و فاهمين عليها شبه عرفنا ان الارتري قالية
+
+139
+00:13:20,090 --> 00:13:24,570
+تكون الجلطة في الارتري ثم قالية تكونها في ال vein
+
+140
+00:13:24,570 --> 00:13:30,870
+ماشي و عرفنا ان الأسباب مختلفة الأسباب مختلفة لكن
+
+141
+00:13:30,870 --> 00:13:38,650
+بتتكون الجلطة طبعا منملاحظاتنا للـ mechanism of
+
+142
+00:13:38,650 --> 00:13:43,410
+thrombus formation نلاحظ أنه في الأرض في Platelet
+
+143
+00:13:43,410 --> 00:13:48,830
+صح؟ Platelet غالبا الناس اللي بتصير عندهم arterial
+
+144
+00:13:48,830 --> 00:13:53,850
+thrombosis بعلجوهم prophylactically بال Anti
+
+145
+00:13:53,850 --> 00:13:57,490
+-Platelet Aggregate Anti-Platelet Aggregate بمنعوا
+
+146
+00:13:57,490 --> 00:13:58,730
+ال Platelet Aggregation
+
+147
+00:14:05,940 --> 00:14:13,360
+Low dose Low dose بيبقى يعني زي اقل اه ماشي و
+
+148
+00:14:13,360 --> 00:14:19,400
+الناس اللي عندهم venous thrombosis بعندهم مش بال
+
+149
+00:14:19,400 --> 00:14:22,840
+anticoagulant زي الwarfarin و زي الheparin
+
+150
+00:14:22,840 --> 00:14:28,040
+وبالتالي بمنعوا حدوث ال venous thrombosis عندهم
+
+151
+00:14:28,040 --> 00:14:36,410
+ماشي من الحاجات الشباب اللي كمانلازم نعرفها أنواع
+
+152
+00:14:36,410 --> 00:14:40,590
+الجلطات جالو أنواع الجلطات قُسمت حسب ال function
+
+153
+00:14:40,590 --> 00:14:44,590
+ففي جلطة بتسكر الوعاء الدمو تماما و بيسموها
+
+154
+00:14:44,590 --> 00:14:51,350
+inclusive thrombus وفي جلطة بتسكره جزئي و بيسموها
+
+155
+00:14:51,350 --> 00:14:57,030
+neural thrombus شو بيسموها؟ neural thrombus يعني
+
+156
+00:14:57,030 --> 00:15:01,550
+هي بتكون ملزقة في جدار الوعاء الدمو فبتسكرش الوعاء
+
+157
+00:15:01,550 --> 00:15:06,960
+الدمو كاملا بيسموها neuralأثرومبس طبعا هذه هي
+
+158
+00:15:06,960 --> 00:15:14,340
+العوامل risk factors for thrombosis منها
+
+159
+00:15:14,340 --> 00:15:17,160
+زي ما انتوا شايفين atherosclerosis, acquired
+
+160
+00:15:17,160 --> 00:15:20,740
+thrombophilia, ciagary, estrogen, malignancy,
+
+161
+00:15:21,340 --> 00:15:23,440
+inflammation, immobility, hereditary,
+
+162
+00:15:23,900 --> 00:15:26,200
+thrombophilia كلها عبارة عن عوامل ان شاء الله
+
+163
+00:15:26,200 --> 00:15:30,210
+هنتطرخ لمعظمهاVenous thrombosis طبعا أنواع الـ
+
+164
+00:15:30,210 --> 00:15:33,150
+thrombotic disorders زي ما اتفقنا Venus thrombosis
+
+165
+00:15:33,150 --> 00:15:35,870
+و Articular thrombosis و نبدأ بالـ Venus
+
+166
+00:15:35,870 --> 00:15:40,910
+thrombosis و قسموها الـ acquired و inherited و
+
+167
+00:15:40,910 --> 00:15:46,470
+النوع التالت هو mixed or unknown origin و زي ما
+
+168
+00:15:46,470 --> 00:15:50,610
+انتوا شايفين قليل عمل الـ Venus الجلطة في الـ
+
+169
+00:15:50,610 --> 00:15:54,250
+Venus thrombosis انه والله في low في ال blood flow
+
+170
+00:15:54,250 --> 00:15:59,480
+and pressure طبعا صار في high potentialوالمحصلة
+
+171
+00:15:59,480 --> 00:16:04,520
+أنه بتنشط ال coagulation cascade ويتكون ال fibrin
+
+172
+00:16:04,520 --> 00:16:08,140
+-rich
+
+173
+00:16:08,140 --> 00:16:16,800
+thrombus طبعا هذا يعني عوام الكثيرة بتدخل على الخط
+
+174
+00:16:16,800 --> 00:16:21,080
+مسبب لهذه الظاهرة منها الموضوع function of age
+
+175
+00:16:21,080 --> 00:16:24,360
+يعني الموضوع الأمر اللي داخل biological condition
+
+176
+00:16:25,620 --> 00:16:30,900
+genetic and environmental factors وارتباط هذه
+
+177
+00:16:30,900 --> 00:16:36,600
+العوامل كلها ببعض ممكن يؤدي إلى تكوين الجلد طبعا
+
+178
+00:16:36,600 --> 00:16:42,260
+من الاسم Venus thrombosis أو Venus thromboembolism
+
+179
+00:16:42,260 --> 00:16:46,200
+قسموها إلى تلت أنواع أساسية أول نوع سموه deep
+
+180
+00:16:46,200 --> 00:16:51,080
+venous thrombosis أو DVT والتاني palmonary
+
+181
+00:16:51,080 --> 00:16:52,720
+embolism
+
+182
+00:16:56,580 --> 00:17:02,720
+والتالت Superficial أو Portal أو Cerebral أو
+
+183
+00:17:02,720 --> 00:17:07,140
+Retinal Vein Thrombosis أنواع مختلفة جدا حسب
+
+184
+00:17:07,140 --> 00:17:13,760
+الموقع صاروا يسموها إيه حسب وين صارت الجنة طيب من
+
+185
+00:17:13,760 --> 00:17:21,340
+الأسباب التي تستدعينا إلى عمل فحوصات Hemostatic
+
+186
+00:17:21,340 --> 00:17:26,050
+Test أو Coagulation Testإنه من الأسباب، وأسباب
+
+187
+00:17:26,050 --> 00:17:29,430
+كثيرة، بس أكتر حاجة ممكن واحد يشوق فيها، إنه لو
+
+188
+00:17:29,430 --> 00:17:34,010
+واحد إجته جلطة سابقة و تكررت، بدك تعمله فحوصات و
+
+189
+00:17:34,010 --> 00:17:38,130
+إتابة ولا لأ؟ لأ دي و لا أكيد، نمرة اتنين بتعمل
+
+190
+00:17:38,130 --> 00:17:43,330
+فحوصات عشان تحد الإيلاش ولا لأ؟ نمرة تلاتة بتعمل
+
+191
+00:17:43,330 --> 00:17:47,510
+فحوصات for genetic counseling واحد في العيلة عنده،
+
+192
+00:17:47,510 --> 00:17:51,570
+اتنين انصابه بالجلطة، بتعملش فحوصات لباقي العيلة؟
+
+193
+00:18:02,150 --> 00:18:07,970
+هو عبارة عن Screening ممكن تشوفه بشكل عام ك most
+
+194
+00:18:07,970 --> 00:18:14,970
+common disease ال most common is DBT أشهر أنواع
+
+195
+00:18:14,970 --> 00:18:18,990
+الشباب هو ال DBT، DB-Nephroposis يحصل في ال lower
+
+196
+00:18:18,990 --> 00:18:19,390
+limb
+
+197
+00:18:22,710 --> 00:18:27,330
+ال .. ال .. ال .. يعني بشكل أساسي و غالبا في ال
+
+198
+00:18:27,330 --> 00:18:31,390
+lower limb بيكون فيه stasis أو low في ال blood
+
+199
+00:18:31,390 --> 00:18:36,670
+flow، صح؟ خصوص بيكون فيه ركود في الدم، ركود في
+
+200
+00:18:36,670 --> 00:18:41,310
+الدم، خصوص الواحد ما بتحركش، واحد قاعد فترة طويلة،
+
+201
+00:18:41,310 --> 00:18:46,730
+واحد نايم
+
+202
+00:18:46,730 --> 00:18:50,330
+بشكل دائم، واحد عامل عملية وقعد فترة طويلة في
+
+203
+00:18:50,330 --> 00:18:56,170
+الفرارهذه كلها بتؤدي لإنه يصير فيه low في ال blood
+
+204
+00:18:56,170 --> 00:19:00,650
+flow و بيصير فيه stasis و خصوصا فيه في الأطرا
+
+205
+00:19:00,650 --> 00:19:08,090
+خصوصا فيه في الأطرا طبعا يا جماعة بتبدأ مازال فيه
+
+206
+00:19:08,090 --> 00:19:14,190
+stasis معناته فيه stagnationمعناته في activation
+
+207
+00:19:14,190 --> 00:19:18,550
+لل coagulation cascade mechanism معناته في رد
+
+208
+00:19:18,550 --> 00:19:22,490
+thrombus formation لأنه بنحكي على VEN وزي ما
+
+209
+00:19:22,490 --> 00:19:26,770
+قلتلكوا بتبنى بناء وممكن تكون كبيرة جزء منها يصير
+
+210
+00:19:26,770 --> 00:19:31,050
+ب dislodging ويروح إلى مكان أخر ويعمل pulmonary
+
+211
+00:19:31,050 --> 00:19:39,810
+embolism ماشي من أعراض ال pulmonary embolismانه
+
+212
+00:19:39,810 --> 00:19:49,070
+يبدأ with acute chest pain ثم breathlessness with
+
+213
+00:19:49,070 --> 00:19:56,410
+shock فبطل يقدر يتنفس ممكن يخش فيه في shock cough
+
+214
+00:19:56,410 --> 00:20:04,730
+and hemopsis يعني ممكن يكون سعر فظيع جدا مصحوب
+
+215
+00:20:04,730 --> 00:20:13,370
+الدمand it could be or maybe fata maybe fata وإزاي
+
+216
+00:20:13,370 --> 00:20:19,610
+ما أنتوا شايفين برضه من مظاهرها بشكل عام في pain
+
+217
+00:20:19,610 --> 00:20:25,410
+في swelling في discoloration في warmth in the
+
+218
+00:20:25,410 --> 00:20:32,890
+affected area لكن هذه مظاهر غير خاص يعني عامة لإن
+
+219
+00:20:32,890 --> 00:20:38,370
+هو مشترك مع كل المش هيك ال sign of inflammation؟
+
+220
+00:20:38,370 --> 00:20:43,810
+اه وبالتالي لابد من تحديتها شايفين اللي قالوها يا
+
+221
+00:20:43,810 --> 00:20:48,370
+شباب؟ شايفين كيف المظهر العام لرجل هذه فيها DP
+
+222
+00:20:48,370 --> 00:20:53,940
+وهذه فيها جلطة؟هيصار فيه discoloration ولا لأ؟ لأ
+
+223
+00:20:53,940 --> 00:20:57,140
+انها تتغير للأسوأ طبعا هذه قبل ما يصير فيه
+
+224
+00:20:57,140 --> 00:21:02,220
+discoloration يصير فيه pain و swallowing و
+
+225
+00:21:02,220 --> 00:21:05,900
+discoloration و warmth اللي هي ال sign of
+
+226
+00:21:05,900 --> 00:21:11,880
+inflammation طبعا هذه ممكن يؤدي في نهاية لإنه يصير
+
+227
+00:21:11,880 --> 00:21:21,830
+فيه inflammation و ممكنتؤدي إلى better الرجل إذا
+
+228
+00:21:21,830 --> 00:21:27,010
+صارت necrotic لأنه .. إيش بيصير؟ بغض النظر عن
+
+229
+00:21:27,010 --> 00:21:32,810
+البكتيريا، بيصير فيه ischemia في هذه المنطقة و ..
+
+230
+00:21:32,810 --> 00:21:36,930
+ممكن .. اه طبعا يصير necrosis و طبعا هذه الصورة
+
+231
+00:21:36,930 --> 00:21:40,470
+تفصيلية سبب، هي الدم المفروض راجع، يرجع بشكل
+
+232
+00:21:40,470 --> 00:21:44,750
+طبيعي، ماشي؟ ايوة هنا sorry، نبدأ من هنا، الدم
+
+233
+00:21:44,750 --> 00:21:51,510
+راجع بشكل طبيعيمن الوعاية ده من ال vein ماشي لكن
+
+234
+00:21:51,510 --> 00:21:57,850
+مرات شو اللي بيصير بيبدأ بيصير فيه حجز لدم في هذه
+
+235
+00:21:57,850 --> 00:22:02,070
+المنطقة ممكن يكون جلطة جلطة هذه ممكن هذه جلطة هذه
+
+236
+00:22:02,070 --> 00:22:07,050
+عارفة عن جلطة شباب this lodge يعني ايش يعني sorry
+
+237
+00:22:07,050 --> 00:22:13,350
+lodge ملزقة في جدار الوعاية ده و هذا الباقي اللي
+
+238
+00:22:13,350 --> 00:22:19,560
+هو اللي مش متجلط هيه قاعد طالببس خفيف الجزء من
+
+239
+00:22:19,560 --> 00:22:24,160
+الجلطة هذه ممكن يسموه dislodging و يطلع ينفسه
+
+240
+00:22:24,160 --> 00:22:29,360
+ويبقى ممشي طبعا بجزء صغير طبعا بيبقى يمشي يمشي
+
+241
+00:22:29,360 --> 00:22:34,280
+يمشي لغاية مثلا لو أدم هو أصغر منه فبسكره صح؟
+
+242
+00:22:34,280 --> 00:22:38,780
+ناحظوا كمان يا شباب شايفين الاختلاف بين الرجلتين
+
+243
+00:22:38,780 --> 00:22:43,940
+هدول ماشي واحدة normal مش فيها جلطة والتانية فيها
+
+244
+00:22:43,940 --> 00:22:48,590
+جلطة شايفين ال ..في قلب طبعا فظيع جدا لإن مافيش
+
+245
+00:22:48,590 --> 00:22:52,870
+راجع جدا راجع في accumulation of blood في
+
+246
+00:22:52,870 --> 00:23:00,750
+stagnation of blood ماشي ثم في pain و إيش قلنا
+
+247
+00:23:00,750 --> 00:23:07,730
+swallow و changing color ده هو شايفين اللون ده
+
+248
+00:23:07,730 --> 00:23:14,650
+أحمر لكن في النهاية صار ميكروسيزش بصير and طبعاhot
+
+249
+00:23:14,650 --> 00:23:20,650
+فى المنطقة دى بيكون فى عرض علارة عالية جدا وطبعا
+
+250
+00:23:20,650 --> 00:23:24,710
+زى هدى عبارة عن hematological مريضانية برضه جبطار
+
+251
+00:23:24,710 --> 00:23:36,590
+لكنها صارت بعدها نزيف ماشى صار bleeding أكثر أسكن
+
+252
+00:23:36,590 --> 00:23:42,670
+في مراكز مختلف وipotensia manifestation شايفين
+
+253
+00:23:42,670 --> 00:23:49,240
+الرجل لما صار فىهى اللى بدهم قصه ولا لأ نيكروسيز
+
+254
+00:23:49,240 --> 00:23:55,020
+وهى هدى بدهم قصه هى الأصابع هدى كلها بدها قصه ماشى
+
+255
+00:23:55,020 --> 00:24:00,680
+البداية بتبدأ this color تدين حمرا لكن لو انثبت
+
+256
+00:24:00,680 --> 00:24:06,620
+يعنى ممكن يصير فى infarction نجفان انه جيت وصلنا
+
+257
+00:24:06,620 --> 00:24:10,660
+لل familial لل genetic disease ماشى او ال genetic
+
+258
+00:24:10,660 --> 00:24:15,380
+risk factor فالمرة الجاية ان شاء الله بنكمل
+
diff --git a/PL9fwy3NUQKwZk82_1AeatKVgXG0nDxlHE/ZiG5WPwRPSw_postprocess.srt b/PL9fwy3NUQKwZk82_1AeatKVgXG0nDxlHE/ZiG5WPwRPSw_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..859b1dcbd6c4d2dcf102bd4e07b250003c804b1b
--- /dev/null
+++ b/PL9fwy3NUQKwZk82_1AeatKVgXG0nDxlHE/ZiG5WPwRPSw_postprocess.srt
@@ -0,0 +1,2308 @@
+1
+00:00:25,010 --> 00:00:28,570
+الـ Coagulation Cascade Mechanism حضرا اللى فاتت
+
+2
+00:00:28,570 --> 00:00:32,070
+كانت عن ال Coagulation Factors اتعرفنا على كل واحد
+
+3
+00:00:32,070 --> 00:00:36,030
+منهم على حدد اليوم ان شاء الله هنشوف على ال
+
+4
+00:00:36,030 --> 00:00:39,930
+sequential steps which are involved in the
+
+5
+00:00:39,930 --> 00:00:43,550
+Coagulation Cascade Mechanism كلنا بنعرف ان ال
+
+6
+00:00:43,550 --> 00:00:45,990
+Coagulation Factors هم عبارة عن مجموعة من
+
+7
+00:00:45,990 --> 00:00:49,710
+البروتينات glycoprotein substancewhich is usually
+
+8
+00:00:49,710 --> 00:00:56,810
+circulate as pro-enzyme لكن once activated بتحول
+
+9
+00:00:56,810 --> 00:01:02,370
+لإنزايم و they are activated in a cascade manner
+
+10
+00:01:02,370 --> 00:01:06,030
+بمعنى واحد كل واحد بينشط اللي بعده و يصل في
+
+11
+00:01:06,030 --> 00:01:09,930
+النهاية إلى تكوين ما يسمى بالاثرومبين والاثرومبين
+
+12
+00:01:09,930 --> 00:01:13,950
+هيشتغل على الفيبرانوجين والكون اللي ما يسمىالكوينة
+
+13
+00:01:13,950 --> 00:01:17,530
+لـ Clot اللي هي عبارة عن الـ Clora طبعا من ..
+
+14
+00:01:17,530 --> 00:01:22,710
+نستوحى من .. من .. من هذه العملية أنه .. كل
+
+15
+00:01:22,710 --> 00:01:27,510
+المطلوب أن الدم يتحول من سائل إلى solid و في الـ
+
+16
+00:01:27,510 --> 00:01:30,590
+Hemothermal Hemostasis برجع مرة تانية إلى سائل،
+
+17
+00:01:30,590 --> 00:01:35,110
+مظبوط؟ يبقى هو بيتحول from liquid to jelly or
+
+18
+00:01:35,110 --> 00:01:39,090
+solid substance و بعد هيك برجع تاني إلى اللي هو
+
+19
+00:01:39,090 --> 00:01:39,890
+liquid substance
+
+20
+00:01:43,510 --> 00:01:48,710
+خطوات تكوين two important complexes ذكرناهم قبل
+
+21
+00:01:48,710 --> 00:01:53,450
+هيك هم التنهيز والبروترومبينيز تنهيز complex
+
+22
+00:01:53,450 --> 00:01:57,770
+والبروترومبينيز البروترومبينيز هيشتغل هينشر ال
+
+23
+00:01:57,770 --> 00:02:01,970
+thrombin هينشر نيه ال thrombin و ال thrombin له
+
+24
+00:02:01,970 --> 00:02:06,250
+different function هنتطرق ليها بالتفصيل ان شاء
+
+25
+00:02:06,250 --> 00:02:14,870
+الله ماشي؟ مماسبق هنلاحظ الآن يا شباب زي ما انتوا
+
+26
+00:02:14,870 --> 00:02:18,490
+شايفين هذا
+
+27
+00:02:18,490 --> 00:02:25,090
+صورة لـ Blood vessels صار فيه مزع في هذه المنطقة و
+
+28
+00:02:25,090 --> 00:02:30,270
+لما صار فيه مزع في هذه المنطقة طلع منه كلاجن صار
+
+29
+00:02:30,270 --> 00:02:35,030
+ال direct contact with blood و الكلاجن كل اللي
+
+30
+00:02:35,030 --> 00:02:39,630
+قبله منشط ال platelet فأول ما بنشط بنشط ال
+
+31
+00:02:39,630 --> 00:02:42,400
+plateletو الـ Platelet بصير الـ adherence و
+
+32
+00:02:42,400 --> 00:02:46,540
+agglutination في منطقة الحدد و في النهاية بتوفر ما
+
+33
+00:02:46,540 --> 00:02:51,820
+يسمى بال phospholipid membrane أو Platelet factor
+
+34
+00:02:51,820 --> 00:02:56,220
+تلاتة بطنة أو ما يسمى بال phosphidine سرية و هو
+
+35
+00:02:56,220 --> 00:03:00,700
+ضرع نياش نيجاتيب تشارج بتتنشط عليها ميكروفينس
+
+36
+00:03:00,700 --> 00:03:03,480
+فاكتر كل ال coagulation factors فهو يتكوّن بواسطة
+
+37
+00:03:03,480 --> 00:03:07,680
+بيانيس كومبليكس على سطح ال Platelet اللي محصلة
+
+38
+00:03:07,680 --> 00:03:13,630
+تتكوين فيبرين صح؟إن الـ Fibrin بالإضافة إلى أن الـ
+
+39
+00:03:13,630 --> 00:03:17,610
+Blade أصلاً صار لها adherence و aggregation و سدّت
+
+40
+00:03:17,610 --> 00:03:22,850
+الجلد و كونت الـ Primary Blood مع الـ Fibrin، شو
+
+41
+00:03:22,850 --> 00:03:28,290
+بيصير؟ Solidification و Reinforcement لمن؟ للجلد
+
+42
+00:03:28,290 --> 00:03:36,070
+اللي تكون عندك، ماشي؟ طيب، هذا الكلام
+
+43
+00:03:41,350 --> 00:03:47,650
+طبعا سيقولنا Sequential Steps of Coagulation
+
+44
+00:03:47,650 --> 00:03:55,090
+قسموها ك Cascade إلى تلت مناطق أساسية يقالوا فيه
+
+45
+00:03:55,090 --> 00:03:59,130
+Intrinsic وفيه Extrinsic وفيه Common Pathway
+
+46
+00:03:59,130 --> 00:04:04,750
+Intrinsic وExtrinsic وفيه Common Pathway ويظهروا
+
+47
+00:04:04,750 --> 00:04:12,360
+دلوقتي الـ Intrinsic بيبدأ بتنشيط Factor 12الـ12
+
+48
+00:04:12,360 --> 00:04:17,420
+بيتحول إلى 12A وشوفنا المرة اللى فاتت كيف هيتحول
+
+49
+00:04:17,420 --> 00:04:25,260
+12 إلى إيش إلى 12 فعلا فاكرين إيه ال contact phase
+
+50
+00:04:25,260 --> 00:04:33,120
+اللي يجي بتحول لـ12A وقلنا فيه على جانب إيه إيه ال
+
+51
+00:04:33,120 --> 00:04:34,860
+contact surface
+
+52
+00:04:44,970 --> 00:04:48,130
+طبعاً فيه الـ hand-to-hand زايرة شغالة pre
+
+53
+00:04:48,130 --> 00:04:52,610
+-calicrine 12 بيشتغل hand و بيشتغل hand صح؟ فبيحول
+
+54
+00:04:52,610 --> 00:05:00,530
+ال pre-calicrine مالين و 11 بيحوله ل 11 مصبوط
+
+55
+00:05:00,530 --> 00:05:07,050
+وبالتالي من هذا المنطلق بهذه الطريقة نشط factor
+
+56
+00:05:07,050 --> 00:05:10,910
+H12 نشط بعدها اللي بعد طبعاً نحن الإنسان نفس ال
+
+57
+00:05:10,910 --> 00:05:13,470
+pre-calicrine نفس ال pre-calicrine
+
+58
+00:05:19,660 --> 00:05:26,980
+من ال prime الى 12A كاملة ماشي فبتزيد كمية العياج
+
+59
+00:05:26,980 --> 00:05:29,900
+الكالكية هذا الكلام شوفناه المحاضرة اللى فاتت
+
+60
+00:05:29,900 --> 00:05:34,940
+مظبوط نعش بيتنشط مين نشطه نيجاتيف اتشارج نيجاتيف
+
+61
+00:05:34,940 --> 00:05:38,720
+اتشارج ماشي فيقضون نيجاتيف اتشارج مين وفر نيجاتيف
+
+62
+00:05:38,720 --> 00:05:43,000
+اتشارج هم الفوسفاتيديل سيرين الفوسفاتيديل سيرين
+
+63
+00:05:43,000 --> 00:05:47,060
+اللى طلع بيته الفوسفاتيديل سيرين اللى هو تبع هذا
+
+64
+00:05:47,340 --> 00:05:50,160
+اللي بلاي تلز مبراير فوسفو 100% فوسفو يبعد مبراير
+
+65
+00:05:50,160 --> 00:05:52,900
+فوسفو يبعد مبراير بالمناسبة هو اتنشط بأكتر من
+
+66
+00:05:52,900 --> 00:05:57,200
+طريقة طريقة أحد الطرق اللي هو ال platelet ال
+
+67
+00:05:57,200 --> 00:06:01,020
+phospho phosphatidylserine او platelet factor 3
+
+68
+00:06:01,020 --> 00:06:07,700
+فبنشط 12 و 12 ايه و 12 بنشط 11 الى 11 ايه و 11
+
+69
+00:06:07,700 --> 00:06:15,160
+بنشط 9 ايه الى 9 ايه ماشي طبعا في وجود مين cancer
+
+70
+00:06:15,160 --> 00:06:18,450
+في وجود ال cancerعشان هيك الخطوات الأولانية
+
+71
+00:06:18,450 --> 00:06:23,710
+محتاجناش فيها الكالسيوم نشيشي لكن هنا احتاجنا فيها
+
+72
+00:06:23,710 --> 00:06:29,590
+الكالسيوم وجدت صار فيها تسعة A تسعة A في وجود
+
+73
+00:06:29,590 --> 00:06:35,630
+الكالسيوم و تمانية A و ال phospholipid اللي احنا
+
+74
+00:06:35,630 --> 00:06:44,730
+قاعدين على سطحه، شو بيكونوا؟ بيكونوا تنازل، تنازل
+
+75
+00:06:44,730 --> 00:06:47,880
+اللي بتشتغل على عشرةالناس اللي بدو يشتغل على مين؟
+
+76
+00:06:47,880 --> 00:06:56,700
+على عشرة ماشي 9A اللي نشطه 11A و 8A و ال calcium و
+
+77
+00:06:56,700 --> 00:07:01,500
+ال phospholipid بيشتغل على عشرة و بيحولوا إلى عشرة
+
+78
+00:07:01,500 --> 00:07:06,660
+A عشرة و عشرة ايه تسعة مع تمانية اللي already
+
+79
+00:07:06,660 --> 00:07:11,860
+اتنشط و اننا هنعرف كيف اتنشط بيتحول بكون تسعة A
+
+80
+00:07:11,860 --> 00:07:15,200
+تمانية A Complex في وجود ال calcium و ال
+
+81
+00:07:15,200 --> 00:07:19,410
+phospholipidبنشطه عشرة إلى عشرة مفهوم يا شباب؟
+
+82
+00:07:19,410 --> 00:07:26,070
+طبعا هذا ال initiation of intrinsics وصلنا لغاية
+
+83
+00:07:26,070 --> 00:07:28,890
+مين؟ عشرة، المفروض نصل للاخر، ال intrinsic كله
+
+84
+00:07:28,890 --> 00:07:32,030
+للاخر، بس بدنا نجح في هذا لإن التنين بيشتركوا عند
+
+85
+00:07:32,030 --> 00:07:39,530
+مين؟ عند عشرة الextrinsic يا شباب الextrinsic هو
+
+86
+00:07:39,530 --> 00:07:45,010
+اللي بيبدأ by releasing tissue factorby releasing
+
+87
+00:07:45,010 --> 00:07:50,690
+tissue factor، من وين بيطلع ال tissue factor؟
+
+88
+00:07:50,690 --> 00:07:56,750
+من ال injury اللي صار، ال injured cell، و هي عبارة
+
+89
+00:07:56,750 --> 00:08:00,130
+عن أياش خلية مزعة، blood vessel injury، بيقول صار
+
+90
+00:08:00,130 --> 00:08:02,930
+في damage ل blood vessel، بيطلع tissue factor، طلع
+
+91
+00:08:02,930 --> 00:08:03,510
+أياش؟
+
+92
+00:08:07,350 --> 00:08:12,090
+في وجود الـ tissue factor سبعة ايه اللي احنا
+
+93
+00:08:12,090 --> 00:08:17,530
+متفقين على انه هو العمصر الوحيد هو المركب الوحيد
+
+94
+00:08:17,530 --> 00:08:23,830
+اللي موجود على شكل active لكن بكميات قليلة شو
+
+95
+00:08:23,830 --> 00:08:31,210
+بيعمل؟ قالوا هذا هو بنشط مين بنشط سبعة إلى سبعة
+
+96
+00:08:31,210 --> 00:08:36,810
+ليش قلنا هذا الكلام؟لأنه كلنا بنعرف إنه أي
+
+97
+00:08:36,810 --> 00:08:39,890
+coagulation factor عشان اتنشط بده واحد جابله
+
+98
+00:08:39,890 --> 00:08:46,330
+ينشطه، صح؟ طب اللي جابله المطلوب عشان ينشط لازم
+
+99
+00:08:46,330 --> 00:08:50,490
+يكون نشيط ولا لأ؟ لازم يكون enzymatic ولا لأ؟ يعني
+
+100
+00:08:50,490 --> 00:08:56,150
+it's enzymatic form؟ طيب، factor 7 على نشط بيكون
+
+101
+00:08:56,150 --> 00:09:00,950
+أنزيم ولا مش أنزيم؟ لازم، فالextrinsic already
+
+102
+00:09:01,890 --> 00:09:06,630
+فاكتور سبعة A لديها جسم الانزيوماتيكا 4 لكنها
+
+103
+00:09:06,630 --> 00:09:10,870
+تشغلت في وجود البرازيلات من الـ tissue factor
+
+104
+00:09:10,870 --> 00:09:14,610
+لكنها تشغلت في وجود البرازيلات من الـ tissue
+
+105
+00:09:14,610 --> 00:09:18,030
+factor ففي وجود الـ tissue factor بيجي فاكتور سبعة
+
+106
+00:09:18,030 --> 00:09:25,610
+A وبنشر كمية كبيرة من مين؟ من سبعة وبيكون سبعة A
+
+107
+00:09:25,610 --> 00:09:30,430
+اللي مرتبط مع tissue factor وبيكون سبعة A complex
+
+108
+00:09:31,050 --> 00:09:38,430
+ماشي هذا هو tissue factor ماشي اجى على سبعة ونشط
+
+109
+00:09:38,430 --> 00:09:44,450
+على سبعة A في وجوده طبعا وفي وجود الكالسيو وكون ان
+
+110
+00:09:44,450 --> 00:09:50,470
+ما يسمى بسبعة A tissue factor سبعة A complex ماشي
+
+111
+00:09:50,470 --> 00:09:55,850
+and this complex is a potent complex قوي جدا has
+
+112
+00:09:55,850 --> 00:09:59,090
+the ability to directly activate to directly
+
+113
+00:09:59,090 --> 00:10:04,470
+activateفاكتور 10، فاكتور L عشرة، فبيحول عشرة
+
+114
+00:10:04,470 --> 00:10:11,190
+لعشرة، شايفين قداش؟ محتاج لفة ودوران كتير؟ very
+
+115
+00:10:11,190 --> 00:10:15,490
+short، عشان هيك اليوم بيعتبروا ان ال initiation of
+
+116
+00:10:15,490 --> 00:10:20,890
+coagulation cascade mechanism هوتنشيط factor IH
+
+117
+00:10:20,890 --> 00:10:24,250
+سبعة أو تكوين ال complex سبعة اتش و factor
+
+118
+00:10:24,250 --> 00:10:29,070
+complex، ماشي؟ كوّن ال complex هذا اللي بنشط
+
+119
+00:10:29,070 --> 00:10:34,050
+directly عشرة إلى عشرة، it's very fast، ماشي؟
+
+120
+00:10:34,050 --> 00:10:39,330
+بياخد seconds عشان IH عشان نشط لعشرة إلى عشرة على
+
+121
+00:10:39,330 --> 00:10:44,850
+خلاف ال intrinsic اللي بيعتبر slow، ماشي؟ليش slow؟
+
+122
+00:10:44,850 --> 00:10:48,090
+بياخد minutes instead of seconds لإنه في أكام
+
+123
+00:10:48,090 --> 00:10:54,450
+فاكتور داخل على الخط عدة دقائق بفوه شبههم أرجعت
+
+124
+00:10:54,450 --> 00:11:00,570
+عشرة تحول إلى عشرة a وبيبدأ ال common pathway و ال
+
+125
+00:11:00,570 --> 00:11:03,530
+common pathway يبدأ بتكوين البروثروم بنيس كومبليكس
+
+126
+00:11:03,530 --> 00:11:10,710
+أو activator وهو عبارة عن عشرة a مع خمسة a في وجود
+
+127
+00:11:10,710 --> 00:11:15,230
+الكالسيومينو ال phospholipid او platelet factor
+
+128
+00:11:15,230 --> 00:11:21,430
+تلاتة ماشي ايش كولموه؟ Protrombinase activator هده
+
+129
+00:11:21,430 --> 00:11:26,770
+هو شو بتشتغل على هذا؟ و بيحولوا .. و الترمبين هذا
+
+130
+00:11:26,770 --> 00:11:31,510
+هو ال active هو ايش؟ هو ال active بيحول الفيبرين
+
+131
+00:11:31,510 --> 00:11:36,230
+الجنبيين لفيبرين و الفيبرين في البداية بيتكون as
+
+132
+00:11:36,230 --> 00:11:42,680
+fibrin مغنيمةثم فايبرين بوليمر ثم في حاجة تانية
+
+133
+00:11:42,680 --> 00:11:48,540
+بعد ذلك نفس الاثرومبين بنشط تلتاش هي نشط تلتاش في
+
+134
+00:11:48,540 --> 00:11:53,280
+وجود الكالسيو وقلنا الكالسيو مهم ضروري جدا لتنشيط
+
+135
+00:11:53,280 --> 00:11:58,100
+تلتاش و تلتاشهي اللي ايش بيعمل؟ بيعمل عملية جدل
+
+136
+00:11:58,100 --> 00:12:03,200
+بيربط الفايبرين بوليمر مع بعض وبيكون ما يسمى بال
+
+137
+00:12:03,200 --> 00:12:08,050
+cross linked fibrin cross linked fibrin ماشي؟عشان
+
+138
+00:12:08,050 --> 00:12:11,710
+هيك ال cross-linked fibrin هي عبارة عن علامة من
+
+139
+00:12:11,710 --> 00:12:17,350
+علامات ال active coagulation process علامة من
+
+140
+00:12:17,350 --> 00:12:21,910
+علامات ال active coagulation process انه صار في
+
+141
+00:12:21,910 --> 00:12:30,350
+نزيف او gel ابدمج ل blood vessels وصار جلطة مفهوم
+
+142
+00:12:30,350 --> 00:12:30,970
+يا شباب؟
+
+143
+00:12:35,170 --> 00:12:47,590
+الـ Intrinsic مشوفناش ال Extrinsic اللي بقى ال two
+
+144
+00:12:47,590 --> 00:12:53,030
+pathway either intrinsic or extrinsic طبعا they
+
+145
+00:12:53,030 --> 00:12:57,890
+are triggered by tissue damaging events وinvolved
+
+146
+00:12:57,890 --> 00:13:06,880
+a series of procoagulantsEach pathway cascades
+
+147
+00:13:06,880 --> 00:13:11,140
+towards factor X التانية تجمع عند factor X وonce
+
+148
+00:13:11,140 --> 00:13:16,480
+factor X has been activated يبدأ في وجود اللي هو
+
+149
+00:13:16,480 --> 00:13:20,440
+plate with factor 3 و ال complex و factor 5 يكوّل
+
+150
+00:13:20,440 --> 00:13:24,940
+ما يسمى بالprothrombin activator، صح؟ لدى ثوحة
+
+151
+00:13:24,940 --> 00:13:27,940
+كده، طبعا بعد هيك الprothrombin بيحول للthrombin
+
+152
+00:13:29,320 --> 00:13:33,700
+بحول البرو ثرومبين الى ثرومبين والثرومبين بيحول ال
+
+153
+00:13:33,700 --> 00:13:39,300
+fibrin 100% الى fibrin و ال fibrinogen الى fibrin
+
+154
+00:13:39,300 --> 00:13:45,140
+و ال fibrin عبارة عن insoluble products لكنه فى
+
+155
+00:13:45,140 --> 00:13:52,160
+البداية بيكون clot، fragile clot و بيحتاج الى
+
+156
+00:13:52,160 --> 00:13:53,400
+polymerization
+
+157
+00:13:59,070 --> 00:14:03,390
+فمتحول إلى Gen-like إتران و بعد هي فكور 13 بيجي
+
+158
+00:14:03,390 --> 00:14:10,990
+يعمل cross-linking و بالتالي يقوي ال Clots حد عنده
+
+159
+00:14:10,990 --> 00:14:16,210
+سؤال، مفهوم، تشوف هذا الكلام، بيان إنه جنزه ما
+
+160
+00:14:16,210 --> 00:14:20,000
+تشوفه، بديل من القاعدة أحنا المرة هذهfibrinogen
+
+161
+00:14:20,000 --> 00:14:25,720
+بتحول الى fibrin بواسطة مين 100% بواسطة ال
+
+162
+00:14:25,720 --> 00:14:30,660
+thrombin من وين جاي ال thrombin بتنشط بطريقين
+
+163
+00:14:30,660 --> 00:14:40,440
+بتنشط بطريقين بتنشط
+
+164
+00:14:40,440 --> 00:14:43,720
+بطريقين بتنشط بطريقين بتنشط بطريقين بتنشط بطريقين
+
+165
+00:14:43,720 --> 00:14:46,320
+بتنشط بتنشط بتنشط بتنشط بتنشط بتنشط بتنشط بتنشط
+
+166
+00:14:46,320 --> 00:14:46,820
+بتنشط بتنشط بتنشط بتنشط بتنشط بتنشط بتنشط بتنشط
+
+167
+00:14:46,820 --> 00:14:47,060
+بتنشط بتنشط بتنشط بتنشط بتنشط بتنشط بتنشط بتنشط
+
+168
+00:14:47,060 --> 00:14:50,830
+بتنشو عشرة كمان بتنشط بواسطة ال intrinsic اللي هو
+
+169
+00:14:50,830 --> 00:14:55,570
+اتناشت احداشت تسعة ثم عشرة والتانين بيجتمعوا عند
+
+170
+00:14:55,570 --> 00:15:00,610
+عشرة التانين بيجتمعوا عند ايه؟ عند عشرة طبعا فى
+
+171
+00:15:00,610 --> 00:15:04,330
+النهاية الشغال هى fibrin بتحول لfibrin monomer
+
+172
+00:15:04,330 --> 00:15:09,510
+وبيتحول من soft clot إلى hard clot وبعد هيك بيصير
+
+173
+00:15:09,510 --> 00:15:16,850
+فى cross link بتنشط كمان ننسى ان الathrombinبنشط
+
+174
+00:15:16,850 --> 00:15:24,510
+فاكتور خمسة وبنشط
+
+175
+00:15:24,510 --> 00:15:28,450
+فاكتور تمام عشان هي الشباب مثروب انه وظائف متعددة
+
+176
+00:15:28,450 --> 00:15:36,970
+هو بيعتبر the principal coagulation factor
+
+177
+00:15:36,970 --> 00:15:42,090
+ووظائف متعددة زى ما انتوا شايفين اكتر من وظيفة لو
+
+178
+00:15:42,090 --> 00:15:44,770
+حددنا هذه الوظائف هلاجيها كالادي
+
+179
+00:15:50,900 --> 00:15:56,320
+ماشي؟ لو عددناها أكتبها from main function
+
+180
+00:15:56,320 --> 00:16:05,040
+هنلاقيها
+
+181
+00:16:05,040 --> 00:16:08,140
+أكتر من واحدة، النمرة واحد هو اشتغل على مين؟
+
+182
+00:16:08,610 --> 00:16:27,670
+الفاكتور خمسة و تمانية الفاكتور
+
+183
+00:16:27,670 --> 00:16:35,650
+خمسة
+
+184
+00:16:35,650 --> 00:16:42,680
+و تمانيةولكن لم أقوم بتنشيطهم في بدايات التفاعل،
+
+185
+00:16:42,680 --> 00:16:48,300
+في بدايات التفاعل يكون تركيز لـThrombin واطي، at
+
+186
+00:16:48,300 --> 00:16:52,040
+low concentration،
+
+187
+00:16:52,040 --> 00:16:56,980
+في بدايات التفاعل يكون تركيز لـThrombin، عشان يعمل
+
+188
+00:16:56,980 --> 00:16:59,400
+propagation، يعمل amplification و propagation
+
+189
+00:16:59,400 --> 00:17:02,680
+لـFibrin
+
+190
+00:17:02,680 --> 00:17:08,080
+formationففي الأولى بنشر خمسة و تمانية و انتوا
+
+191
+00:17:08,080 --> 00:17:10,520
+عارفين هدول الاتنين بيكوّنوا Plotarum Benezo
+
+192
+00:17:10,520 --> 00:17:17,660
+Tennis Complex صح؟ نمرة تلاتة Inhibit
+
+193
+00:17:17,660 --> 00:17:25,560
+Factors خمسة و تمانية كمان لكن وقتش بيعملهم
+
+194
+00:17:25,560 --> 00:17:28,960
+Inhibition High concentration لما يزيد التركيز و
+
+195
+00:17:28,960 --> 00:17:31,420
+.. high concentration
+
+196
+00:17:36,370 --> 00:17:42,470
+طيب ماشي كمان ما احنا عارفين انه بنشط كمان وكان
+
+197
+00:17:42,470 --> 00:17:46,690
+خمسة و تمانية و اشتغل على واحد و خمسة و تمانية
+
+198
+00:17:46,690 --> 00:17:54,170
+كانوا بنشط احداش و تلتار قعدنا هنشوف كيفه بنشط
+
+199
+00:17:54,170 --> 00:18:00,190
+احداش و تلتار ماشي طب عن تلتاش هي ما شوفناه ولا لأ
+
+200
+00:18:03,020 --> 00:18:08,320
+13 وحوله لـ 13 في وجود الـ Calcium مرة تانية وقلنا
+
+201
+00:18:08,320 --> 00:18:12,200
+13 إيش بيعمل؟ Cross-linking بقى الـ 11 هده هنشوف
+
+202
+00:18:12,200 --> 00:18:16,600
+كيف ينشطوا فماشي كمان إيه يا باقى؟ حوّل الـ Fibrin
+
+203
+00:18:16,600 --> 00:18:19,780
+الـ Soft بيبنط ل .. هذا هي أول واحد Fibrin وجه
+
+204
+00:18:19,780 --> 00:18:23,000
+اللي لـ Fibrin الـ Fibrin الـ Soft الفرق الـ 13 هو
+
+205
+00:18:23,000 --> 00:18:26,380
+13 اللي بيحول أه هذا هو نشطه إحنا بنحكي في
+
+206
+00:18:26,380 --> 00:18:31,060
+Thrombin function ماشي؟ بنحكي في Thrombin function
+
+207
+00:18:31,060 --> 00:18:48,720
+غير هيك يا شبابفي وظيفة خدناها احنا جابناها مش
+
+208
+00:18:48,720 --> 00:18:51,360
+قولنا بنشط ال platelet مش انه receptor على سطح ال
+
+209
+00:18:51,360 --> 00:18:55,820
+platelet في الزمنها مش قولنا هو برضه بنشط ال
+
+210
+00:18:55,820 --> 00:18:59,440
+platelet فبالتالي بنشط ال platelet وبعدين بخليها
+
+211
+00:18:59,440 --> 00:19:03,560
+تعمل degranulation صح؟ اه هاي الخمسة طب فيه كمان
+
+212
+00:19:03,560 --> 00:19:16,930
+وظيفةفيه وظيفته سادسه بيعمل activation بيعمل
+
+213
+00:19:16,930 --> 00:19:23,550
+activation لل fibrinolysis ماشي لل fibrinolysis هو
+
+214
+00:19:23,550 --> 00:19:26,310
+بيعمل في البداية inhibition وبعدين بيبدأ يعمل
+
+215
+00:19:26,310 --> 00:19:30,850
+activation for fibrinolysis
+
+216
+00:19:35,580 --> 00:19:37,620
+ماشي؟ وقت إيش طب بيعمل activation of the
+
+217
+00:19:37,620 --> 00:19:44,160
+fibrolysis؟ لما يكون جرطة ينهي، مظبوط؟ بدنا نبناش،
+
+218
+00:19:44,160 --> 00:19:47,340
+بدنا ال fibrolysis يبدأ عملية ال healing، فببدأ
+
+219
+00:19:47,340 --> 00:19:51,300
+ينشر، مين بنشر؟ ال therapy مين بنشرت ال
+
+220
+00:19:51,300 --> 00:19:55,240
+fibrolysis؟ بنشرتها اللي هو ال therapy شايفين كم
+
+221
+00:19:55,240 --> 00:20:00,100
+وظيفة له؟ هو ال .. ال أب لكل .. 100% عشان هيك
+
+222
+00:20:00,100 --> 00:20:03,640
+نعتبره ال principle principle يعني عشان ال
+
+223
+00:20:03,640 --> 00:20:05,380
+coagulation factor هو ال therapy
+
+224
+00:20:12,720 --> 00:20:16,320
+شُفنا بداية أن الـ Transition ببدأ بالـ Contact
+
+225
+00:20:16,320 --> 00:20:21,480
+Phase شُفنا الـ 12 لما اتحول لـ R لـ 12A في وجود
+
+226
+00:20:21,480 --> 00:20:25,400
+الـ hybrid اللي قلت كينونيجن و الـ tricalic ring
+
+227
+00:20:25,400 --> 00:20:30,460
+وبالتالي في حاجة اسمناها Contact Phase، مجبوط؟
+
+228
+00:20:30,460 --> 00:20:39,880
+كمان شُفنا أنه Activated Factor 11 نشر 9 و 9 في
+
+229
+00:20:39,880 --> 00:20:45,080
+وجود 8 نشروالكالشيوم والفوسفوليب اتكونات تنيزي
+
+230
+00:20:45,080 --> 00:20:51,060
+وتنيزي اشتغل على عشرة وحوالي عشرة E كمان activated
+
+231
+00:20:51,060 --> 00:20:56,740
+factor عشرة E ارتبط بخمسة E وفي وجود الكالشيوم
+
+232
+00:20:56,740 --> 00:20:59,920
+والفوسفوليب يعمل ال air البروترومبينيزي يحول
+
+233
+00:20:59,920 --> 00:21:05,600
+البروترومبين الاترومبينيزي وهذا هي الحكاية tissue
+
+234
+00:21:05,600 --> 00:21:10,260
+factor هذا ال extrinsic اشهر ال tissue factor نشط
+
+235
+00:21:10,260 --> 00:21:20,920
+سبعةو7a مع ال tissue factor نشرت تنين نشرت 10 إلى
+
+236
+00:21:20,920 --> 00:21:29,040
+10a و برضه نشرت تسعة إلى تسعة الاتنين مش رابط طبعا
+
+237
+00:21:29,040 --> 00:21:36,720
+احنا المهم هنا عشرة مع ال tissue factor مع 7a نشرت
+
+238
+00:21:36,720 --> 00:21:37,740
+عشر إلى عشرة a
+
+239
+00:21:40,860 --> 00:21:45,900
+اللي هو نشط الـ thrombin أو كون الـ thrombin طبعا
+
+240
+00:21:45,900 --> 00:21:51,420
+الشراب هذا ال .. ال .. ال .. ال mechanism very
+
+241
+00:21:51,420 --> 00:21:57,800
+fast قولنا second، it takes a second و بيكوّن
+
+242
+00:21:57,800 --> 00:22:02,720
+جلطات في لحظات خفيفة فبالتالي لابد من وجود control
+
+243
+00:22:02,720 --> 00:22:07,620
+mechanism له مهم جدا و ال control mechanism هو
+
+244
+00:22:07,620 --> 00:22:10,590
+عبارة عن إياشهو عبارة عن أن هذا الـ mechanism
+
+245
+00:22:10,590 --> 00:22:14,630
+يتوقف أول ما يشتغل، أول ما يشتغل إيه؟ بتوقف،
+
+246
+00:22:14,630 --> 00:22:20,810
+بنعمله Inhibition، ماشي؟ وبنعمله Inhibition بواسطة
+
+247
+00:22:20,810 --> 00:22:23,430
+Inhibitors، بيسموه تاشر، tissue-factor-pathway
+
+248
+00:22:23,430 --> 00:22:26,170
+-inhibitor، tissue-factor-pathway-inhibitor،
+
+249
+00:22:26,170 --> 00:22:29,250
+بيشتغل بطريقة سريعة جدا، بيشتغل، إيه؟ الـ
+
+250
+00:22:29,250 --> 00:22:32,270
+mechanism هذا من خلال الـ pathway بطريقة هادة،
+
+251
+00:22:32,270 --> 00:22:36,570
+بيشتغل بطريقة سريعة جدا، ويوقف بطريقة سريعة جدا،
+
+252
+00:22:36,570 --> 00:22:41,360
+فقطبمجابة ما الـ tissue factor يكوّن Complex مع 7A
+
+253
+00:22:41,360 --> 00:22:44,800
+و ينشط عشرة Automatically tissue factor pathway
+
+254
+00:22:44,800 --> 00:22:48,020
+inhibitor بعمل Inhibition لمين؟ لهذا ال pathway
+
+255
+00:22:48,020 --> 00:22:53,280
+وبالظبط أنا بشبهه دائما بواحد دخل على غرفة معطمة
+
+256
+00:22:53,280 --> 00:23:00,420
+ضوّى الضوء و اتفقه ضوّى الضوء و اتفقه طبعا لما ضوى
+
+257
+00:23:00,420 --> 00:23:04,940
+الضوءبين ايش فيه في الغرفة ولا مابيناش؟ 100% هندور
+
+258
+00:23:04,940 --> 00:23:09,880
+دول فكوّنلنا كمية قليلة من الاثرومبين قلتنا هنشوف
+
+259
+00:23:09,880 --> 00:23:14,940
+إيش بدها تعمل هذه الكمية، لكن على طول وقفناها، على
+
+260
+00:23:14,940 --> 00:23:18,040
+طول وقفناها، والتوجيه زي ما قلتلكوا الواصل تشو
+
+261
+00:23:18,040 --> 00:23:21,020
+فاكتور باتوينهيبتر هو برعاة Lyboprotein substance
+
+262
+00:23:21,020 --> 00:23:23,740
+ممكن أهدي الأشكال مرتبط بالأقل low density
+
+263
+00:23:23,740 --> 00:23:27,200
+lyboprotein، high density lyboprotein، بيعمل
+
+264
+00:23:27,200 --> 00:23:30,960
+direct inhibition لفاكتور عشرةوبيعمل inhibition لل
+
+265
+00:23:30,960 --> 00:23:35,840
+complex 7A tissue factor complex وبالتالي بيوقف ال
+
+266
+00:23:35,840 --> 00:23:40,340
+reaction عشان هيك زي ما انتوا شايفين هي نفس ال
+
+267
+00:23:40,340 --> 00:23:47,720
+mechanism tissue factor مع 7A نشط عشرة لكن رجع ال
+
+268
+00:23:47,720 --> 00:23:51,700
+tissue factor مباشرة اعمل inhibition لل complex
+
+269
+00:23:51,700 --> 00:23:57,680
+ولل factor عشرة عمال؟ اعمل inhibition لمين؟لا
+
+270
+00:23:57,680 --> 00:24:02,280
+factor عشرة ايه ولا مين ولا ال complex وبالتالي
+
+271
+00:24:02,280 --> 00:24:06,580
+there is no more thrombin is formed through this
+
+272
+00:24:06,580 --> 00:24:11,180
+pathway من خلال هذا الطريق خلاص بطلنا الكونياج
+
+273
+00:24:11,180 --> 00:24:15,540
+thrombin لكنها كمية قليلة لا تفي بالغرض، لا تفي
+
+274
+00:24:15,540 --> 00:24:19,560
+بالغرض، يبقى لازم من وجود other routes other
+
+275
+00:24:19,560 --> 00:24:24,820
+pathway بدها تكمل وتكون ليهاج thrombin، هم
+
+276
+00:24:24,820 --> 00:24:25,960
+بيتحاولوا نشوف إيش اللي بصير
+
+277
+00:24:29,880 --> 00:24:33,580
+كمان شوفنا في ال slide اللى جابلها انه 9 اللى
+
+278
+00:24:33,580 --> 00:24:38,500
+اتنشط مع 10 ماوقفوش اللى هو ال tissue factor
+
+279
+00:24:38,500 --> 00:24:42,400
+pathway inhibitor ماشي؟ يعني ال tissue factor
+
+280
+00:24:42,400 --> 00:24:47,500
+pathway inhibitor ايوة اشتغل عليه، طيب و 9 ايش صار
+
+281
+00:24:47,500 --> 00:24:52,460
+فيه؟ ماشتغلش عليه، وبالتالي دلنا 9 ايه؟
+
+282
+00:24:54,890 --> 00:24:59,570
+لسه لنشوف ماشي اللي صار في علنا production المحصدة
+
+283
+00:24:59,570 --> 00:25:05,150
+of تسعة ايه كمان في علنا small amount of meat of
+
+284
+00:25:05,150 --> 00:25:11,430
+the trumpet ففوش بقى طيب معادي slide بتفسر ليه ايش
+
+285
+00:25:11,430 --> 00:25:16,670
+اللي صار لما حكيته طويل شو
+
+286
+00:25:16,670 --> 00:25:19,710
+عمل ال trumpet اللي طلع الكمية القليلة من ال
+
+287
+00:25:19,710 --> 00:25:25,570
+trumpet أول حاجة عملها هذا هوحوالي تمانية إيه؟
+
+288
+00:25:25,570 --> 00:25:29,770
+تمانية ل تمانية إيه؟ وخمسة ل خمسة إيه؟ حوالياش؟
+
+289
+00:25:29,770 --> 00:25:35,470
+خمسة ل خمسة إيه؟ و تمانية ل مين؟ ل تمانية إيه؟
+
+290
+00:25:35,470 --> 00:25:41,690
+ماشي؟ و هنقول لزموري ما هي توع شفنا نفس ال
+
+291
+00:25:41,690 --> 00:25:46,910
+mechanism tissue factor سبعة إيه؟ Complex ماشي؟
+
+292
+00:25:46,910 --> 00:25:51,660
+نشط عشر نشط مين؟عشرة وقلنا بعد ايه خلاص مافيش
+
+293
+00:25:51,660 --> 00:25:56,340
+لكناش فيه في عشرة نشطني شوية الترومبل في نفس الوقت
+
+294
+00:25:56,340 --> 00:26:00,740
+الترومبل نشط خمسة لخمسة ايه و نشط تمانية ل تمانية
+
+295
+00:26:00,740 --> 00:26:06,020
+ايه كلنا بنعرف ان خمسة ايه لزمني لمين ترومبل
+
+296
+00:26:06,020 --> 00:26:10,280
+ترومبل ايه ترومبل ايه و تمانية ايه لزمني لمين
+
+297
+00:26:10,280 --> 00:26:14,760
+لتمانية ايه طب ما احنا قبل هيك تشوفاك ترومبل نشط
+
+298
+00:26:14,760 --> 00:26:20,340
+تسعة ايه تسعة مظبوط صار في عندي تسعة ايهمع تمانية
+
+299
+00:26:20,340 --> 00:26:24,500
+ايه؟ والكارشيو والفوسفولي ماديش بيعملوا .. وصار
+
+300
+00:26:24,500 --> 00:26:29,680
+فيها انا عندي خمسة ايه؟ مع عشرة ايه؟ والكارشيو
+
+301
+00:26:29,680 --> 00:26:33,260
+والفوسفولي ماديش عملوا مائة في مائة .. كوّننا ال
+
+302
+00:26:33,260 --> 00:26:36,080
+complex ولا ما كوّننا هناش؟ كوّننا ال complex
+
+303
+00:26:36,080 --> 00:26:40,900
+فاهمين يا شباب؟ يبقى أول حاجة كمية قليلة من ال
+
+304
+00:26:40,900 --> 00:26:46,260
+thrombin شو عملت؟ نشطات خمسة و نشطات تمانية و هدول
+
+305
+00:26:46,260 --> 00:26:48,480
+التانية لازمين لك بروا تربي ناس و التانية ليش
+
+306
+00:26:48,480 --> 00:26:53,700
+complex؟وكمان تشوفوا إيش عمل نشط تلتاش نشط إيه؟
+
+307
+00:26:53,700 --> 00:26:58,660
+تلتاش حتى لو هو أصلا بكمية قليلة هذه من ال
+
+308
+00:26:58,660 --> 00:27:04,400
+thrombin there is no or little fibrin بيتكون باشي
+
+309
+00:27:04,400 --> 00:27:08,740
+في الأصل مافيش fibrin يتكون لكن ممكن يصير فيه إيش
+
+310
+00:27:08,740 --> 00:27:13,760
+no or little fibrin فال factor 13 already جاهز في
+
+311
+00:27:13,760 --> 00:27:17,460
+هذه العملية يبقى ال thrombin بيعمل وظيفته منها عمل
+
+312
+00:27:17,460 --> 00:27:22,180
+اللي عليهأشتغل على الـ Fibrin الـ Fibrin الجنسي
+
+313
+00:27:22,180 --> 00:27:26,120
+يحول لـ Fibrin إذا بس بكمية قليلة ثم نشط خمسة و
+
+314
+00:27:26,120 --> 00:27:32,940
+تمانية ماشي ثم نشط تلت عشر مفهوم شبهها لكن هذا
+
+315
+00:27:32,940 --> 00:27:38,480
+ميكانزم الدائرة فيه لم تكتمل ماشي بجد بعد فترة
+
+316
+00:27:38,480 --> 00:27:43,840
+هيجب فبدنا نضمن الـ Continuity تبعته بدنا نضمن
+
+317
+00:27:43,840 --> 00:27:50,210
+إياش استمراريته مظبوط مفهوم شبههاعالجتحن حنشوف كيف
+
+318
+00:27:50,210 --> 00:27:56,470
+بدنا نضمن الاستمرار ماشيش؟
+
+319
+00:27:56,470 --> 00:28:03,610
+فضمان الاستمرارية شباب بتيجي من خلال فهمنا القديم
+
+320
+00:28:03,610 --> 00:28:10,770
+لل coagulation cascade mechanism إيش الفهم الجدي؟
+
+321
+00:28:10,770 --> 00:28:16,530
+قالوا اللي بيصير في الجسم مش اللي قاعد بشرحلكممش
+
+322
+00:28:16,530 --> 00:28:20,570
+ال classical concept of the coagulation cascade
+
+323
+00:28:20,570 --> 00:28:25,030
+mechanism، مش ال factor 12 و 11 و 12 و ال
+
+324
+00:28:25,030 --> 00:28:27,630
+precalcarin و ال high molecular weight carcinogen،
+
+325
+00:28:27,630 --> 00:28:31,450
+اللي هو مش داخل فالموضوع، إذا بتلاحظوا، في شيء، في
+
+326
+00:28:31,450 --> 00:28:34,830
+إله داخل، شوفته 12 هاد؟ شوفته precalcarin و
+
+327
+00:28:34,830 --> 00:28:35,350
+precalcarin؟
+
+328
+00:28:37,910 --> 00:28:42,970
+يبقى هذه الأمور أثارت مفاهيم أو تساؤلات كثيرة أدت
+
+329
+00:28:42,970 --> 00:28:47,310
+إلى مفهوم ودع مفهوم جديد لمين؟ للـ Coagulation-KSK
+
+330
+00:28:47,310 --> 00:28:50,950
+ميكانيزم سموه Current Concept of Coagulation-KSK
+
+331
+00:28:50,950 --> 00:28:57,470
+Mechanism والتساؤلات إجت من خلال تلت عوامل أساسية
+
+332
+00:28:57,470 --> 00:29:03,330
+ماهي تلت عوامل؟ العامل الأولاني تجربة عملها أحد
+
+333
+00:29:03,330 --> 00:29:07,350
+العلماء اسمه دبولماذا جاء؟ جاء الـ cerebral
+
+334
+00:29:07,350 --> 00:29:11,590
+matter، ماهو الـ cerebral matter؟
+
+335
+00:29:11,590 --> 00:29:17,650
+مخ، مخ، تشو، brain tissue، ماشي؟ وحقنها في فار
+
+336
+00:29:17,650 --> 00:29:24,330
+مباشرة، لجأة أنه كل دم الفار تجلط، الـ tissue،
+
+337
+00:29:24,330 --> 00:29:29,150
+brain tissue is full of tissue factor، هذا يعني أن
+
+338
+00:29:29,150 --> 00:29:32,650
+الـ tissue factor له دخل كبير في عملية إيه؟ ال
+
+339
+00:29:32,650 --> 00:29:37,160
+coagulation، بالمقابلعشان يثبت العكس راح جاب نفس
+
+340
+00:29:37,160 --> 00:29:43,020
+ال .. جاب فرق تاني وحققه بواكس عمل severe bleeding
+
+341
+00:29:43,020 --> 00:29:47,900
+عمل ايه؟ severe bleeding يبقى بهذه التجربة اثبت ان
+
+342
+00:29:47,900 --> 00:29:53,740
+ال tissue factor له دور مهم الملحوظة التانية اللي
+
+343
+00:29:55,330 --> 00:30:00,330
+برزة أو أبرزة التساؤلات على ال classical concept
+
+344
+00:30:00,330 --> 00:30:04,290
+of coagulation cascade mechanism هو ملاحظات انبنت
+
+345
+00:30:04,290 --> 00:30:08,830
+على مدار عشرين سنة على مدار عشرين سنة وكانت
+
+346
+00:30:08,830 --> 00:30:14,920
+الملاحظات هي كالتاليكنا بنعرف إنه قبل كل عملية، كل
+
+347
+00:30:14,920 --> 00:30:17,800
+مريض بيخش عشان يعمل عملية، بيعملوله فحوصات قبل
+
+348
+00:30:17,800 --> 00:30:21,680
+العملية، pre-operative testing، مظبوط؟ شو بيعملوا؟
+
+349
+00:30:21,680 --> 00:30:24,480
+بياخدوا فحوصات، بيعملوا سكر و كلا و كده و
+
+350
+00:30:24,480 --> 00:30:27,700
+electrolyte و من .. و من .. و من بالظبط، و من ..
+
+351
+00:30:27,700 --> 00:30:31,740
+من ضمن الفحوصات هي hemostatic test، اللي هي الـBT
+
+352
+00:30:31,740 --> 00:30:36,920
+و الـBTT فدخل المريض، أخدوله عينة، عملوله فحوصات،
+
+353
+00:30:36,920 --> 00:30:40,560
+لقوا hemostatic test are prolonged، are إيه أش
+
+354
+00:30:40,560 --> 00:30:46,840
+prolonged، يعنيطولت لما يطلع فحص النتيجة عالية شو
+
+355
+00:30:46,840 --> 00:30:52,460
+بيعملنا؟ في عنده حالة مرضية؟ اه في عنده حالة مرضية
+
+356
+00:30:56,060 --> 00:30:59,140
+أو عرضه لإنه يعمل نزيف و لا عرضه لإنه يصير عنده
+
+357
+00:30:59,140 --> 00:31:05,260
+تجلط نزيف لإنه بس هذا احنا لما بنعمل فعصات فعصات
+
+358
+00:31:05,260 --> 00:31:10,420
+نقص الزمن المطلوب لحدوث جلطة فلما بيكون الزمن كبير
+
+359
+00:31:10,420 --> 00:31:15,180
+مانته امكانية انه يكون بنزف عالية نحن المريض لو
+
+360
+00:31:15,180 --> 00:31:18,900
+بيعنيش من مرض بيعنيش لو مابيعاني منياش من bleeding
+
+361
+00:31:18,900 --> 00:31:25,230
+لكنه عندهالفحص عالى، دوروا على السبب، لقوا عنده
+
+362
+00:31:25,230 --> 00:31:30,250
+نخص في factor 12، factor أيش؟ 12 فتخيلوا factor 12
+
+363
+00:31:30,250 --> 00:31:35,610
+مش موجود عند المريض، ماصلش عند المريض bleeding،
+
+364
+00:31:35,610 --> 00:31:39,190
+لكن كل دى عمل prolongation في ال hemostatic test
+
+365
+00:31:39,190 --> 00:31:43,870
+which means ان factor 12 ماليش داخل في الموضوع
+
+366
+00:31:46,640 --> 00:31:52,120
+فقعد فترة دخل مريض بنفس المواصفات عنده homostatic
+
+367
+00:31:52,120 --> 00:31:56,500
+test عالي وماعندهوش bleeding لما دوروا على السبب
+
+368
+00:31:56,500 --> 00:31:58,480
+لقوا فيه عنده نقص في ال high molecular weight
+
+369
+00:31:58,480 --> 00:32:02,880
+kinogen برضه نفس الحكاية مافي bleeding و برضه
+
+370
+00:32:02,880 --> 00:32:07,020
+نفتكرت الحكاية مع مريض تالت بالظبط مع ال pre
+
+371
+00:32:07,020 --> 00:32:10,160
+-calcarine لقوا ال pre-calcarine غايب و هدولها
+
+372
+00:32:10,160 --> 00:32:12,820
+العائلات أفراد من العائلات واحدة سميناها Fletcher
+
+373
+00:32:12,820 --> 00:32:17,600
+والتانية Fitzgerald متفاكرين؟ اهفهدولة لجوا عندهم
+
+374
+00:32:17,600 --> 00:32:20,860
+غياب لهادي ال coagulation factor لكن they are not
+
+375
+00:32:20,860 --> 00:32:26,060
+leaders which means ان these factors are not
+
+376
+00:32:26,060 --> 00:32:30,400
+involved in coagulation cascade mechanism وبالتالي
+
+377
+00:32:30,400 --> 00:32:36,880
+ال contact phase is not required ال contact phase
+
+378
+00:32:36,880 --> 00:32:45,160
+مش مطلوب اللي احنا حكينا فيه في البداية تبت عليا؟
+
+379
+00:32:46,310 --> 00:32:49,450
+مدام اللي طلعت عوامل هدولة لما بيغيبوا، المريض
+
+380
+00:32:49,450 --> 00:32:52,910
+بيعانيش، مالاته هدولة مانهم مش داخلوا في الكواكب
+
+381
+00:32:52,910 --> 00:32:55,830
+الهجر، داخل؟ مانهم مش داخلوا في الكواكب الهجر،
+
+382
+00:32:55,830 --> 00:33:02,950
+ماشي؟ الملاحظة التالتة اللي برضه نتجت عن هذه
+
+383
+00:33:02,950 --> 00:33:08,000
+العملية هو فحص البروترومب، كلنا بنعرفهبتهدده لسه
+
+384
+00:33:08,000 --> 00:33:11,480
+موصلتهوش للبروثلوم البروثلوم يا شباب هو أولا فحص
+
+385
+00:33:11,480 --> 00:33:15,780
+ببيقيس من خلاله ال Extrinsic pathway of
+
+386
+00:33:15,780 --> 00:33:19,380
+coagulation cascades ماشي Extrinsic اللي هو factor
+
+387
+00:33:19,380 --> 00:33:26,640
+7 عشرة واحد طبعا غمها يتضمن هذا ماشي وهذا بيقيس
+
+388
+00:33:26,640 --> 00:33:31,100
+الزمن المقلوب لحدوث جلطة من خلال مين؟ من خلال
+
+389
+00:33:31,100 --> 00:33:36,300
+Extrinsic pathway كيف نعمله؟ بديه افتشه factor
+
+390
+00:33:36,930 --> 00:33:41,930
+Phospholipid هذا بيوحي للإنسان إن الـ Phospholipid
+
+391
+00:33:41,930 --> 00:33:49,550
+مهم جدا في هذه الأعمال صح؟ عشان هي لما جينا هذا ند
+
+392
+00:33:49,550 --> 00:33:57,590
+التفاعل بدنا بيهاش discover factor باشي؟ وبالتالي
+
+393
+00:33:57,590 --> 00:34:04,010
+قالوا لابد من وجود current concept مفهوم جديد لل
+
+394
+00:34:04,010 --> 00:34:10,070
+coagulation cascade mechanismبدأوا كالآتي شايفين؟
+
+395
+00:34:10,070 --> 00:34:14,110
+قالوا بيبدأ ب initiation بطلنا نحكي الجتا
+
+396
+00:34:14,110 --> 00:34:16,370
+intrinsic و extrinsic وإن كان ممكن نعملها
+
+397
+00:34:16,370 --> 00:34:21,270
+application لكن الجتا قسموه كالآتي ل initiation ثم
+
+398
+00:34:21,270 --> 00:34:26,110
+amplification ثم propagation phases ال coagulation
+
+399
+00:34:26,110 --> 00:34:29,710
+cascade الميكانيزم قسموه إلى إيش؟ إلى تلاتة phases
+
+400
+00:34:29,710 --> 00:34:35,070
+أول واحدة هي إيش؟ initiation وال initiation الشباب
+
+401
+00:34:35,070 --> 00:34:39,440
+جاي هداوطهو عبارة عن ايه؟ هو عبارة عن tissue
+
+402
+00:34:39,440 --> 00:34:45,760
+factor bearing cell وقت إيش بدأ يوم ما انمزعت خلية
+
+403
+00:34:45,760 --> 00:34:50,780
+طلعت ليها tissue factor وين هذا الكلام بسيط؟ ال
+
+404
+00:34:50,780 --> 00:34:55,300
+blood vessels، damaged to the blood vessels طلعت
+
+405
+00:34:55,300 --> 00:34:59,000
+tissue factor، tissue factor شو عمل؟ activation
+
+406
+00:34:59,000 --> 00:35:02,500
+نشرت
+
+407
+00:35:02,500 --> 00:35:08,930
+سبعة وعمل complexو سبعة نشطت مين؟ تسعة على تسعة
+
+408
+00:35:08,930 --> 00:35:13,430
+ايه؟ وها إن هي دوّت تشوفاكتور مع سبعة ايه نشطت
+
+409
+00:35:13,430 --> 00:35:18,130
+مين؟ عشرة على عشرة ايه؟ وعشرة ايه اشتغل على اتنين
+
+410
+00:35:18,130 --> 00:35:23,690
+وكون شوية اتنين ايه؟ صح؟ وين صارت هذه؟ وين صحت
+
+411
+00:35:23,690 --> 00:35:31,390
+المعركة هذه؟ ماذا؟ لا مافيش بلتلت، في بلتلت؟ مافيش
+
+412
+00:35:31,390 --> 00:35:36,470
+بلتلت، مازالهذا على سطح الخلية اللي هي المزعة يعني
+
+413
+00:35:36,470 --> 00:35:41,530
+على اللي هو tissue factor bearing cell الخلية اللي
+
+414
+00:35:41,530 --> 00:35:44,670
+هي طلعت tissue factor الخلية اللي طلعت ايه؟ tissue
+
+415
+00:35:44,670 --> 00:35:49,210
+factor البدايات بتطلع من ايه؟ من ال tissue factor
+
+416
+00:35:49,210 --> 00:35:53,860
+bearing cell ده هي الخليةاللي مزعج وطلع منها إيش
+
+417
+00:35:53,860 --> 00:35:57,060
+ال tissue factor هرجعت على هذا كلام مهم بيصير في
+
+418
+00:35:57,060 --> 00:35:59,780
+blood vessels طب احنا عارفين ال blood vessels فيه
+
+419
+00:35:59,780 --> 00:36:02,540
+إيش؟ في ال blood vessels بالبناطنس، صح؟ هرجعت بيجي
+
+420
+00:36:02,540 --> 00:36:07,680
+دورها، إنما في البدائيات هي عبارة عن إيش؟ خمية صار
+
+421
+00:36:07,680 --> 00:36:11,400
+لها damage وصار فيه releasing ل tissue factor،
+
+422
+00:36:11,400 --> 00:36:16,980
+tissue factor نشط سبعة وعمل complex معاه، و ال
+
+423
+00:36:16,980 --> 00:36:21,010
+complex نشط تسعة أو عشرة، ماشي؟مفروض يا شباب، هذي
+
+424
+00:36:21,010 --> 00:36:26,630
+بيسموها initiation و مرة تانية بقول الموقع هو مين؟
+
+425
+00:36:26,630 --> 00:36:29,710
+تشوف على الترابيب الاسلامي، 100% و انا خليا اتنزع،
+
+426
+00:36:29,710 --> 00:36:34,230
+كل ما هو هناك جزية يعني هذا السكندر يحدث قبل
+
+427
+00:36:34,230 --> 00:36:38,270
+البيانات، فيه جزية بسيطة و كروش؟ ايش سكندر؟ اه اه
+
+428
+00:36:38,270 --> 00:36:42,060
+فيه جزية بسيطةماذا يحدث في هذه الحالة يا عزيزي؟
+
+429
+00:36:42,060 --> 00:36:49,060
+لذلك إذا تتذكر أن الـthrombin هو بنشط بلاتلت، كيبن
+
+430
+00:36:49,060 --> 00:36:53,360
+نشط بلاتلت، لازم يكون بتكون قبلها، صح؟ شو حدث في
+
+431
+00:36:53,360 --> 00:36:57,280
+هذه الحالة؟ كوّن الـthrombin، و الـthrombin اللي
+
+432
+00:36:57,280 --> 00:37:01,020
+هو رشدته على سطح البلاتلت، وبالتالي يحصل عملية
+
+433
+00:37:01,020 --> 00:37:05,570
+تنشيطما يميز الثرومبل يا شباب هذا كله على السطح
+
+434
+00:37:05,570 --> 00:37:10,050
+التحتاني بيتكون ما يميز الثرومبل انه it's
+
+435
+00:37:10,050 --> 00:37:13,330
+liberating molecule بمعنى هو بره مليكيول ممكن
+
+436
+00:37:13,330 --> 00:37:19,590
+يتحرر ممكن ايش؟ يتحرر and then diffuse ماشي وينتشر
+
+437
+00:37:19,590 --> 00:37:22,810
+وين بنتشر؟ على ال tissue اللي فوق على ال tissue
+
+438
+00:37:22,810 --> 00:37:27,350
+اللي فوق to the surrounding tissue ماشي ايش فيه؟
+
+439
+00:37:27,730 --> 00:37:30,850
+فوق فيه blood، و ال blood فيه platelet و
+
+440
+00:37:30,850 --> 00:37:34,230
+coagulation factor، صح؟ فجيت موضوع تاني، حدودة
+
+441
+00:37:34,230 --> 00:37:38,310
+تانية، إنما في البداية هي أبرع الخلية، المذاق، و
+
+442
+00:37:38,310 --> 00:37:43,190
+اتنشط على سطحها trumpet، ماشي، بعدها إيش بيشي
+
+443
+00:37:43,190 --> 00:37:47,000
+شباب، بداية، good luckشايفين الـ Platelet؟
+
+444
+00:37:47,000 --> 00:37:53,120
+البلاتلت إجا بـ Thrombin على سطح البلاتلت و نشطها
+
+445
+00:37:53,120 --> 00:37:59,320
+و لما تنشطها تعمل الـ Degranulation، شو طلعت؟ خمسة
+
+446
+00:37:59,320 --> 00:38:03,160
+أو تمانية، مش هدول العوامل الموجودة فيها، مجبوطة
+
+447
+00:38:03,160 --> 00:38:07,640
+شباب؟ طيب، خمسة شو صارت؟ تحول إلى خمس أيام، مين
+
+448
+00:38:07,640 --> 00:38:14,500
+نشطه؟ بـ Thrombin، و تمانيةماشي طلع مرتبط بال
+
+449
+00:38:14,500 --> 00:38:17,840
+Vovlebrand، حرر حاله من ال Vovlebrand، و اتحول إلى
+
+450
+00:38:17,840 --> 00:38:22,260
+إيش؟ إلى تمانية، صار في عندي الآن على سطح ال
+
+451
+00:38:22,260 --> 00:38:28,640
+platelet، إيش صار فيه؟ خمسة إيه؟ تمانية إيه؟ تسعة
+
+452
+00:38:28,640 --> 00:38:34,160
+إيه؟ فاكرين تسعة؟ الانجليزم بتنوي، بتشوف factor ما
+
+453
+00:38:34,160 --> 00:38:35,200
+هو نشطة؟ تسعة
+
+454
+00:38:44,310 --> 00:38:52,090
+أيوة تمانية و خمسة و تسعة و شوية عشرة مع شوية
+
+455
+00:38:52,090 --> 00:38:57,290
+اتنين، لكن عشرة خلاص، there is no more عشر، ماشي؟
+
+456
+00:38:57,290 --> 00:39:00,730
+يبقى عاصر، فتح البلاد، لو ده الصراحين دي، الصراحين
+
+457
+00:39:00,730 --> 00:39:04,710
+دي يأكل ال ingredient اللي بدي إياها، عشان أكمل
+
+458
+00:39:04,710 --> 00:39:10,200
+coagulation cascade mechanism، before ..كل
+
+459
+00:39:10,200 --> 00:39:14,840
+المتطلبات عشان ابني جلطة عشان اكوّن ايه؟ جلطة
+
+460
+00:39:14,840 --> 00:39:19,560
+تابعين معايا؟ طيب تشوف ايش بيصير بعدها ايه؟ على
+
+461
+00:39:19,560 --> 00:39:24,160
+سطح اللي هو الـplatelet ايه صار على سطح
+
+462
+00:39:24,160 --> 00:39:28,640
+الـplatelet؟ تمانية اتنشط، اتحولت من الـbubble
+
+463
+00:39:28,640 --> 00:39:33,580
+brand وتحولت إلى تمانية ايه؟ وفي عندي تسعة تمانية
+
+464
+00:39:33,580 --> 00:39:37,120
+ايه؟ وفي عندي تسعة تمانية ايه؟ وفي عندي تسعة
+
+465
+00:39:37,120 --> 00:39:38,500
+تمانية ايه؟ تمانية ايه؟ تمانية ايه؟ تمانية ايه؟
+
+466
+00:39:38,500 --> 00:39:40,690
+تمانية ايه؟ تمانية ايه؟ تماناللي إيجى على سطح الـ
+
+467
+00:39:40,690 --> 00:39:43,430
+Platelet ما هو على سطح الـ Platelet مرتبط بالـ
+
+468
+00:39:43,430 --> 00:39:47,590
+Receptors وخلّها تعمل Degranulation فزولت الكمية
+
+469
+00:39:47,590 --> 00:39:52,610
+بكمية كبيرة وبالتالي تنشطت لـ Platelet ماشي، في
+
+470
+00:39:52,610 --> 00:39:56,690
+عندي Platelet، ماشي، في عندي تمانية وخمسة، وفي
+
+471
+00:39:56,690 --> 00:40:01,010
+عندي تسعة، تسعة، تسعة، تسعة، تسعة، تسعة، تسعة،
+
+472
+00:40:01,010 --> 00:40:01,310
+تسعة، تسعة، تسعة، تسعة، تسعة، تسعة، تسعة، تسعة،
+
+473
+00:40:01,310 --> 00:40:06,670
+تسعة، تسعة، تسعة، تسعة، تسعة، تسعة، تسعة، تسعة
+
+474
+00:40:14,360 --> 00:40:19,840
+protease activatable receptor
+
+475
+00:40:19,840 --> 00:40:26,680
+رقم واحد PRA
+
+476
+00:40:26,680 --> 00:40:39,480
+و PAR واحد طب
+
+477
+00:40:39,480 --> 00:40:45,130
+اكتفت خمسة وعمل خمسة ايه؟وخمسة أيه مطلوب عشان مين؟
+
+478
+00:40:45,130 --> 00:40:46,330
+خمسة أيه مطلوب عشان مين؟ خمسة أيه مطلوب عشان مين؟
+
+479
+00:40:46,330 --> 00:40:48,010
+خمسة أيه مطلوب عشان مين؟ خمسة أيه مطلوب عشان مين؟
+
+480
+00:40:48,010 --> 00:40:49,190
+خمسة أيه مطلوب عشان مين؟ خمسة أيه مطلوب عشان مين؟
+
+481
+00:40:49,190 --> 00:40:52,410
+خمسة أيه مطلوب عشان مين؟ خمسة أيه مطلوب عشان مين؟
+
+482
+00:40:52,410 --> 00:40:54,390
+خمسة أيه مطلوب عشان مين؟ خمسة أيه مطلوب عشان مين؟
+
+483
+00:40:54,390 --> 00:40:58,910
+خمسة أيه مطلوب عشان مين؟ خمسة أيه مطلوب عشان مين؟
+
+484
+00:40:58,910 --> 00:41:02,610
+خمسة
+
+485
+00:41:02,610 --> 00:41:06,530
+أيه مطلوب عشان
+
+486
+00:41:06,530 --> 00:41:10,150
+مين
+
+487
+00:41:11,490 --> 00:41:15,690
+أي واحد هناك هذا هو صورة تكتمل واحدة واحدة هي
+
+488
+00:41:15,690 --> 00:41:20,650
+الخلية تشوفها كتب بال Excel ثم هي ال platelet و ال
+
+489
+00:41:20,650 --> 00:41:24,050
+platelet على سطحها تنشطت هي ال platelet بيغير
+
+490
+00:41:24,050 --> 00:41:28,330
+شكلها و صار في اند 11 لأن 11 كان مقرشته ال
+
+491
+00:41:28,330 --> 00:41:32,610
+thrombin و قعدنا هنشوف كيف بتكون ثم 8 ثم 5
+
+492
+00:41:32,610 --> 00:41:40,070
+وبالتالي تكتمل هذه العملية تكتمل هذه العملية
+
+493
+00:41:40,670 --> 00:41:43,950
+تشايفين كيف تجتمد؟ هي الـ propagation هي الجزء
+
+494
+00:41:43,950 --> 00:41:48,670
+الأولاني وهي الـplatelet تشايفا الـplatelet بنينا
+
+495
+00:41:48,670 --> 00:41:54,210
+على سطحها كل صحراء وبيكتب الكوية كالقاتل تشايفا
+
+496
+00:41:54,210 --> 00:41:58,450
+ألخص الكوية أنا عارف أكتر من صورة تكومة هي من
+
+497
+00:41:58,450 --> 00:42:04,490
+البداية تشوف factor factor 7A complex مش تكوّن
+
+498
+00:42:04,490 --> 00:42:12,710
+complex ال complex يشرب من نشرة 9وحولها إلى تسعة A
+
+499
+00:42:12,710 --> 00:42:21,170
+ونشب عشرة وحولوا إلى عشرة A صح؟ ثم عشرة ايه؟ اشتغل
+
+500
+00:42:21,170 --> 00:42:29,530
+على اتنين وحولوا لاتنين ايه؟ صح؟ وجدت هذا الكلام
+
+501
+00:42:29,530 --> 00:42:35,130
+على طول على طول سمناه initiation لكن هان قلنا
+
+502
+00:42:35,130 --> 00:42:38,450
+دُغري tissue factor pathway inhibitor وجف الحكاية
+
+503
+00:42:49,250 --> 00:42:58,730
+المهم انه تكون عند اتنين نشط بكلنية قليلة نشطة
+
+504
+00:42:58,730 --> 00:43:02,970
+القادة اول
+
+505
+00:43:02,970 --> 00:43:09,030
+شي ممكن تكون اشتغلت على ال fiber energy و حولته
+
+506
+00:43:09,030 --> 00:43:22,490
+الفادرينمونيما ثم بنيما صح؟ نمر اتنين اشتغلت
+
+507
+00:43:22,490 --> 00:43:31,030
+على factor 11 و حولته الى 11A أي
+
+508
+00:43:31,030 --> 00:43:38,750
+11 تحول الى 11A فرنبل اشتغل على هيك او لا
+
+509
+00:43:41,920 --> 00:43:48,400
+أشتغل على مين؟ على تسعة ويحولوا إلى تسعة إيه؟
+
+510
+00:43:48,400 --> 00:43:53,280
+ماشي؟ اكتملت الدائرة ولا لا؟ لسه ما اكتملتش، تسعة
+
+511
+00:43:53,280 --> 00:43:59,460
+هيشتغل على عشرة ويحولوا إلى عشرة إيه؟ كملنا
+
+512
+00:43:59,460 --> 00:44:05,020
+الدائرة، صح؟ هلجيت صار في دائرة كاملة ولا لا؟ صار
+
+513
+00:44:05,020 --> 00:44:08,660
+ممكن يصير في continuous production لمين؟ للثومن
+
+514
+00:44:10,100 --> 00:44:13,000
+وإذا صار في continuous production للثرومبين صار في
+
+515
+00:44:13,000 --> 00:44:22,700
+إيه؟ 12 باعد تاني نين اشتغل على القاتل نين احنا
+
+516
+00:44:22,700 --> 00:44:31,800
+قلنا نين A هيشتغل على واحد وهيشتغل على خمسة
+
+517
+00:44:31,800 --> 00:44:36,540
+ويحولها لخمسة A وهيشتغل على تمانية و تمانية A
+
+518
+00:44:36,540 --> 00:44:43,560
+وهيشتغل على 11 و11Aوهيشتغل على تلتاش، صح؟ لأنه
+
+519
+00:44:43,560 --> 00:44:50,580
+هيهارت نيت، هيشتغل على تلتاش، ويحولوا لتلتاش A،
+
+520
+00:44:50,580 --> 00:44:56,900
+وتلتاش A إيش بده يعمل؟ بده يكوّن اللي هو cross
+
+521
+00:44:56,900 --> 00:44:57,220
+-limit
+
+522
+00:45:08,620 --> 00:45:12,680
+هل شايفين كيف اشتغل على الكون ولا لأ؟ فهذا هو
+
+523
+00:45:12,680 --> 00:45:18,180
+التكون، هي ال complex عشرة الـ10A ووقفنا من الـ10A
+
+524
+00:45:18,180 --> 00:45:23,220
+من هذا الطريق لكن عشرة الـA تكون كوان نتفت شوية
+
+525
+00:45:23,220 --> 00:45:29,840
+ثرمبين، ثرمبين نشط القادة، اللي بدي جمه دور، فنشط
+
+526
+00:45:29,840 --> 00:45:38,340
+11، 11 تحول لـ11A ثم اللي نشط 9 لـ9A، 9 في وجود
+
+527
+00:45:38,790 --> 00:45:44,830
+Factor 8A والكالسيوم والفوسفوليبيد يعني كوّن
+
+528
+00:45:44,830 --> 00:45:50,350
+التناشق نشط عشر على عشرة A وعشرة A في وجود خمسة A
+
+529
+00:45:50,350 --> 00:45:53,910
+والفوسفوليبيد
+
+530
+00:45:53,910 --> 00:46:00,690
+والكالسيوم كوّناش ال Protrampelase Complex
+
+531
+00:46:00,690 --> 00:46:05,290
+وبالتالي كوّن الميكانيزم شفتوا الميكانيزم كله؟ في
+
+532
+00:46:05,290 --> 00:46:09,490
+دائرة مكتملة ولا مافيش دائرة مكتملة؟ في دائرةيبقى
+
+533
+00:46:09,490 --> 00:46:13,350
+في continuous production لمين؟ للـ thrombin اللي
+
+534
+00:46:13,350 --> 00:46:17,950
+هيعمل جلطة طبعا بيضل يزيد يزيد يزيد يزيد التركيز
+
+535
+00:46:17,950 --> 00:46:24,190
+تبع مين؟ تبع الـ thrombin ولمّا يصير زيادة يعني
+
+536
+00:46:24,190 --> 00:46:28,770
+بيكون كوّن جلطة ماشي؟ بيبدأ اللي هو الميكانزم
+
+537
+00:46:28,770 --> 00:46:33,470
+العكسي اللي هناخده المحاضرة الجاية ماشي؟ خلّيني
+
+538
+00:46:33,470 --> 00:46:38,600
+هلجت في المحاضرة، مفهوم يا شباب؟من الصورة هذه، شوف
+
+539
+00:46:38,600 --> 00:46:43,580
+نستفيد نستنتج أن الـ Coagulation Cascade Mechanism
+
+540
+00:46:43,580 --> 00:46:49,040
+صار على موقعين، مش موقع واحد، يا شباب، مش موقع
+
+541
+00:46:49,040 --> 00:46:53,280
+واحد، الموقع الأولاني، اللي هو التشوفاكتور الـ
+
+542
+00:46:53,280 --> 00:46:59,040
+Bearing Cell وهذا ممكن أنا أوصفه تقريبا بمين؟ بالـ
+
+543
+00:46:59,040 --> 00:47:03,520
+Extrinsic Pathway مفهوم؟ لأنه طول التشوفاكتور
+
+544
+00:47:10,810 --> 00:47:14,570
+و الـ platelet ماشي شو صار عليها؟ صار في
+
+545
+00:47:14,570 --> 00:47:18,270
+amplification كوّنها خمسة أو تمانية أو تسعة أو
+
+546
+00:47:18,270 --> 00:47:24,310
+احداشر ماشي كل هدولة موجودين في ال intrinsic
+
+547
+00:47:24,310 --> 00:47:28,990
+pathway فانا بقدر اعمل اعتبر هذا extrinsic وهذا
+
+548
+00:47:28,990 --> 00:47:35,870
+intrinsic pathway لكن في contact phase ليش contact
+
+549
+00:47:35,870 --> 00:47:40,590
+phase؟ وهذا بيفسم المرضى اللي دخل المستشفىوعملنا
+
+550
+00:47:40,590 --> 00:47:45,130
+لهم فعصار وطلع عندهم ال hemostatic test عالية لكن
+
+551
+00:47:45,130 --> 00:47:52,310
+مافي bleeding بفسر او بفسرش؟ بفسر ماشي وبالتالي
+
+552
+00:47:52,310 --> 00:47:54,910
+the contact phase has no role in coagulation
+
+553
+00:47:54,910 --> 00:48:02,490
+cascade mechanism أيوة فيبر فيبر الجد صار فى فيبر
+
+554
+00:48:02,490 --> 00:48:05,970
+ال threads زى ما انتوا شايفين اللى عملها مين؟
+
+555
+00:48:05,970 --> 00:48:14,460
+thrombin حدده شوية يا شباب؟حد عنده سؤال؟ حد عنده
+
+556
+00:48:14,460 --> 00:48:18,800
+سؤال؟ طب نلخص اللى .. اللى .. اللى حاكناه summary
+
+557
+00:48:18,800 --> 00:48:22,900
+زى ما انتوا شايفين احنا اتفقنا على ان مافيه fiber
+
+558
+00:48:22,900 --> 00:48:26,740
+يعني cloth بدو يتكون ومو بدو يتكون شباب بدون يتقبل
+
+559
+00:48:26,740 --> 00:48:30,960
+على سطح ال blatelet لإن سطح ال blatelet هي اللى
+
+560
+00:48:30,960 --> 00:48:35,720
+تكتشت عليها ال propagation's are well على سطح ال
+
+561
+00:48:35,720 --> 00:48:38,400
+blatelet ماشي؟
+
+562
+00:48:42,570 --> 00:48:47,270
+ثم الحاجة التانية يا شباب اتفقنا على انه في موقعين
+
+563
+00:48:47,270 --> 00:48:52,910
+two position في موقعين وحدة بلتلت و tissue factor
+
+564
+00:48:52,910 --> 00:48:58,690
+billing cell و هذا الكلام فصلنا ممكن نفصل ال
+
+565
+00:48:58,690 --> 00:49:01,770
+tissue factor billing cell هي عبارة عن اياش ال
+
+566
+00:49:01,770 --> 00:49:05,610
+extrinsic و ال intrinsic هي عبارة عن اياش التالية
+
+567
+00:49:05,610 --> 00:49:07,770
+ماشي؟
+
+568
+00:49:10,630 --> 00:49:14,470
+Hemophilia هو عبارة عن مثال، شو بيبينلي يا شباب،
+
+569
+00:49:14,470 --> 00:49:17,970
+ليش بنزفوا الناس اللي عندهم Hemophilia؟ لإن بقى
+
+570
+00:49:17,970 --> 00:49:21,390
+صار في عندهم خلل في الموقع التاني، أنه موقع تاني؟
+
+571
+00:49:21,390 --> 00:49:24,730
+البلاتلت؟ البلاتلت، طب ليه أش؟ لإن ماعندهمش .. هم
+
+572
+00:49:24,730 --> 00:49:29,630
+بيولدوا وماعندهمش factor 8، وين بنشط factor 8؟ على
+
+573
+00:49:29,630 --> 00:49:33,310
+سطح البلاتلت، مازال مافيش factor 8 ليه؟ مافيش إيه
+
+574
+00:49:33,310 --> 00:49:38,360
+أش؟ مافيش plot formationلأن ال club formation بشكل
+
+575
+00:49:38,360 --> 00:49:42,300
+أساسي تتكون نتيجة ال amplification و ال
+
+576
+00:49:42,300 --> 00:49:49,020
+propagation على سطح مين؟ سطح البلد ماشي؟ حد عنده
+
+577
+00:49:49,020 --> 00:49:51,740
+سؤال يا شباب؟ حد عنده سؤال؟
+
diff --git a/PL9fwy3NUQKwZk82_1AeatKVgXG0nDxlHE/cYsH46grQoA.srt b/PL9fwy3NUQKwZk82_1AeatKVgXG0nDxlHE/cYsH46grQoA.srt
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index 0000000000000000000000000000000000000000..25681560d90f82a20f04e6df199a13bda55069b8
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@@ -0,0 +1,2391 @@
+1
+00:00:20,840 --> 00:00:28,260
+بسم الله الرحمن الرحيم اليوم إن شاء الله هنكمل في
+
+2
+00:00:28,260 --> 00:00:32,520
+الـ hereditary bleeding disorders و هنحكي في الـ von
+
+3
+00:00:32,520 --> 00:00:37,520
+Willebrand disease و هنتطرق للـ von Willebrand disease من عدة
+
+4
+00:00:37,520 --> 00:00:42,200
+زوايا بداية هنمسك الـ factor و هو von Willebrand factor
+
+5
+00:00:42,200 --> 00:00:46,340
+من ناحية الـ structure و location و function ثم
+
+6
+00:00:46,340 --> 00:00:47,880
+هنمسك الـ disease
+
+7
+00:00:53,480 --> 00:00:59,380
+and diagnosis و treatment بداية
+
+8
+00:00:59,380 --> 00:01:04,320
+von Willebrand disease هو عبارة عن مرض يعتبر family
+
+9
+00:01:04,320 --> 00:01:08,260
+bleeding disorders ومن اسمه von Willebrand disease
+
+10
+00:01:08,260 --> 00:01:12,360
+بيعني أن von Willebrand factor أما absent أو
+
+11
+00:01:12,360 --> 00:01:17,860
+dysfunctional أما absent أو dysfunctional بروتين
+
+12
+00:01:17,860 --> 00:01:26,770
+زي أي بروتين يصنع في الجسم من خلال الـ gene الـ gene
+
+13
+00:01:26,770 --> 00:01:33,870
+تبعه موجود على شفرة جينية وفي كروموزوم 12 و بيصير له
+
+14
+00:01:33,870 --> 00:01:37,730
+expression لهذا الـ gene في مكانين الـ endothelial
+
+15
+00:01:37,730 --> 00:01:40,450
+cells of الـ megakaryocyte و احنا عارفين أن الـ
+
+16
+00:01:40,450 --> 00:01:44,830
+endothelial cells بتصنع بعض الـ coagulation factors و تتخزن
+
+17
+00:01:45,280 --> 00:01:51,880
+ثم الـ megakaryocytes برضه بتصنع اللي هو إيش الـ
+
+18
+00:01:51,880 --> 00:01:57,020
+von Willebrand factor بيصنع الـ factor as
+
+19
+00:01:57,020 --> 00:02:02,200
+preliminary structures ثم بيتطور إلى modified
+
+20
+00:02:02,200 --> 00:02:07,440
+structures من خلال عمليات كيميائية تتضمن بلمرة
+
+21
+00:02:08,210 --> 00:02:11,830
+بيتحول فيها الـ molecule من Monomer إلى Polymer
+
+22
+00:02:11,830 --> 00:02:16,890
+وMonomer وDimer وTrimer وPolymer وبالتالي بنشوف
+
+23
+00:02:16,890 --> 00:02:21,550
+عدة أشكال من مين؟ من الـ Multimer أو من الـ Homo
+
+24
+00:02:21,550 --> 00:02:26,370
+-dimeric يتصدق
+
+25
+00:02:26,370 --> 00:02:33,110
+في النهاية الـ molecule وعلى سطحه أو يحتوي على مواقع
+
+26
+00:02:33,110 --> 00:02:40,670
+رابطة منها ارتباطه موقع ارتباطه بالـ factor 8 ثم two
+
+27
+00:02:40,670 --> 00:02:43,350
+receptors بيرتبطوا
+
+28
+00:02:49,070 --> 00:02:54,310
+ثم one receptor على سطح الـ collagen اللي هو الـ
+
+29
+00:02:54,310 --> 00:03:00,170
+sub-endothelial layer فبكون
+
+30
+00:03:00,170 --> 00:03:04,910
+على سطحه binding sites مهمة تتضمن هذه الـ binding
+
+31
+00:03:04,910 --> 00:03:05,270
+sites
+
+32
+00:03:09,350 --> 00:03:11,990
+هنا أن الـ production of von Willebrand factor
+
+33
+00:03:11,990 --> 00:03:15,790
+يتم في الـ endothelium السبب في الـ megakaryocytes و
+
+34
+00:03:15,790 --> 00:03:21,350
+most of the factor is usually synthesized in a
+
+35
+00:03:21,350 --> 00:03:27,010
+secreted form بمعنى أن هو free في البلازما and
+
+36
+00:03:27,010 --> 00:03:34,210
+stored in endothelium في الـ Weibel-Palade bodies وفي
+
+37
+00:03:34,210 --> 00:03:38,270
+الـ Alpha Granules of Platelets يبقى مواقع تخزينه
+
+38
+00:03:38,270 --> 00:03:42,230
+عارفينها هي الـ Weibel-Palade bodies والـ Alpha
+
+39
+00:03:42,230 --> 00:03:46,130
+Granules of Platelets ومواقع إنتاجه هي الـ
+
+40
+00:03:46,130 --> 00:03:52,290
+Endothelial Cells و Megakaryocyte بيستلزم
+
+41
+00:03:52,290 --> 00:03:59,350
+خروج الـ von Willebrand من مخازنه Inducer يستلزم
+
+42
+00:03:59,350 --> 00:04:04,260
+مخرج أو خروج الـ von Willebrand factor من مخازنه
+
+43
+00:04:04,260 --> 00:04:12,540
+certain inducer طبعا أولا بـ stimulus فإذا
+
+44
+00:04:12,540 --> 00:04:16,480
+بدنا نطلعه من الـ endothelial cells mostly الـ
+
+45
+00:04:16,480 --> 00:04:20,120
+stimulus اللي بيستخدم هو الـ thrombin و الهيستامين و
+
+46
+00:04:20,120 --> 00:04:25,540
+الـ fibrin و الـ complement من الـ C5 لـ C9 اللي هم
+
+47
+00:04:25,540 --> 00:04:30,930
+بيسمونه membrane attack complex وإذا كان بدنا
+
+48
+00:04:30,930 --> 00:04:36,190
+نطلعه من الـ platelet نستخدم ثرومبين و ADP وكولاجين
+
+49
+00:04:36,190 --> 00:04:40,330
+طبعا
+
+50
+00:04:40,330 --> 00:04:44,270
+الـ adhesion كلنا عارفين في الـ von Willebrand حكينا
+
+51
+00:04:44,270 --> 00:04:48,230
+فيها أكتر من مرة وقلنا بيلعب دور كبير it has a
+
+52
+00:04:48,230 --> 00:04:51,550
+dual role بيلعب دور كبير في الـ primary hemostasis
+
+53
+00:04:51,550 --> 00:04:54,930
+وفي الـ secondary hemostasis في الـ primary بيعمل
+
+54
+00:04:54,930 --> 00:05:00,110
+adhesion و aggregation وفي الـ secondary
+
+55
+00:05:00,110 --> 00:05:09,050
+hemostasis بيعمل 100% بس الـ factor .. آه أنا في الـ
+
+56
+00:05:09,050 --> 00:05:13,990
+primary ماشي aggregation primary ما فيهوش بقى هو
+
+57
+00:05:13,990 --> 00:05:17,030
+اللي دور في الـ primary واللي دور فيه ما فيش في الـ
+
+58
+00:05:17,030 --> 00:05:20,310
+secondary وعارفين الـ function أو الـ mechanism of
+
+59
+00:05:20,310 --> 00:05:23,250
+adhesion و الـ mechanism
+
+60
+00:05:26,970 --> 00:05:31,870
+هو الـ factor ثمانية بيقعد مع von Willebrand بيقعد factor
+
+61
+00:05:31,870 --> 00:05:37,970
+ثمانية طيب نيجي للمرض نيجي لإيش للمرض والـ von
+
+62
+00:05:37,970 --> 00:05:43,130
+Willebrand disease أول من حكى فيه هو Eric von Willebrand
+
+63
+00:05:43,130 --> 00:05:47,530
+في 1930 وسمى
+
+64
+00:05:47,530 --> 00:05:52,410
+فيه حينه hereditary pseudohemophilia hereditary
+
+65
+00:05:52,410 --> 00:05:58,230
+pseudohemophilia وكانت التسمية ناتجة عن الأسباب
+
+66
+00:05:58,230 --> 00:06:02,490
+الآتية أنه أول finding لقى فيه prolongation
+
+67
+00:06:02,490 --> 00:06:05,970
+في الـ bleeding time ماشي لكن الـ platelet count
+
+68
+00:06:05,970 --> 00:06:12,110
+normal الـ platelet count normal مش راكبة صح فلمرة
+
+69
+00:06:12,110 --> 00:06:18,270
+اتنين لقى فيه mucosal bleeding نبقى تلاتة لقى أن
+
+70
+00:06:18,270 --> 00:06:21,250
+المرض بيصيب الجنسين، male و female، both sexes are
+
+71
+00:06:21,250 --> 00:06:26,250
+affected في الـ hemophilia، نعرف أن الـ male هو الـ
+
+72
+00:06:26,250 --> 00:06:31,110
+affected و الـ female هي carrier، وبالتالي هذا لا هو
+
+73
+00:06:31,110 --> 00:06:36,550
+hemophilia ولا هو أي bleeding disorder عادي تأثرت
+
+74
+00:06:36,550 --> 00:06:40,740
+من خلال الـ treatment طيب، شو اللي صار؟ قالوا في
+
+75
+00:06:40,740 --> 00:06:44,780
+1950، طبعا هذا الكلام تطورت more investigations، ففي
+
+76
+00:06:44,780 --> 00:06:51,160
+1950 later on اكتشفوا أنّه is associated with factor
+
+77
+00:06:51,160 --> 00:06:56,780
+8 deficiency، ماشي؟ طبعا في الـ von Willebrand هذا
+
+78
+00:06:56,780 --> 00:07:00,480
+الكلام موجود؟ آه موجود، قالوا factor 8 يبقى قلّ ..
+
+79
+00:07:00,480 --> 00:07:05,390
+100% يبقى قل إذا كان فيش von Willebrandنمرة في الـ
+
+80
+00:07:05,390 --> 00:07:10,890
+1977 اكتشفوا الـ von Willebrand factor في الـ 80s
+
+81
+00:07:10,890 --> 00:07:20,570
+عملوا gene cloning للـ von Willebrand factor الـ
+
+82
+00:07:20,570 --> 00:07:25,150
+incidence و الـ frequency كانوا نسبته بشكل عام هي 1
+
+83
+00:07:25,150 --> 00:07:31,710
+% من الـ population 1% من الـ population لكن المرضى
+
+84
+00:07:31,710 --> 00:07:39,190
+بـ ..يعني they manifest different or variable
+
+85
+00:07:39,190 --> 00:07:45,450
+degrees of symptoms بنلاقي في مرضى كتير بتعانيش من
+
+86
+00:07:45,450 --> 00:07:50,590
+إشي و مرضى كتير بتعاني ماشي ففي variation فيه في
+
+87
+00:07:50,590 --> 00:07:56,450
+الـ symptoms between patients between مرضى لأن هو
+
+88
+00:07:56,450 --> 00:08:01,950
+patient وبالتالي هذا يعني أن المرض بيحمل أكتر من
+
+89
+00:08:01,950 --> 00:08:06,030
+نوعه ماشي؟ مادام في variation في نفس في الـ
+
+90
+00:08:06,030 --> 00:08:09,370
+symptoms لنفس المرض يبقى فيه أكتر من إيش من
+
+91
+00:08:09,370 --> 00:08:12,970
+type من هذا المرض يعني الـ clinically significant
+
+92
+00:08:12,970 --> 00:08:18,030
+form of von Willebrand disease نسبة الإصابة فيه 125 شخص في
+
+93
+00:08:18,030 --> 00:08:25,380
+المليون في كل مليون والـ severe نص إلى خمسة في
+
+94
+00:08:25,380 --> 00:08:33,080
+المية من لكل مليون مصابين طبعا بقتل زومة الـ
+
+95
+00:08:33,080 --> 00:08:37,880
+inheritance pattern بتلاقي الـ male و الـ female are
+
+96
+00:08:37,880 --> 00:08:42,420
+affected equally ماشي؟
+
+97
+00:08:44,440 --> 00:08:48,280
+لأن إجوا يعملوا classification للمرض وجالوا الـ
+
+98
+00:08:48,280 --> 00:08:51,980
+classification اللي بدناها تعتمد على either the disease
+
+99
+00:08:51,980 --> 00:08:56,200
+is quantitative or qualitative هل هو quantitative
+
+100
+00:08:56,200 --> 00:09:05,380
+ولا إيش ولا qualitative طبعا هذا بشكل أساسي وطبعا
+
+101
+00:09:05,380 --> 00:09:09,280
+كلنا بنعرف دور von Willebrand factor بالنسبة إلى
+
+102
+00:09:09,280 --> 00:09:14,280
+factor 8 وبالتالي كمان أخدوا هذا الكلام بعين
+
+103
+00:09:14,280 --> 00:09:19,800
+الاعتبار مما أدى إلى أنه يعملوا classification للـ
+
+104
+00:09:19,800 --> 00:09:25,420
+disease إلى تلت أنواع أساسية تلت أنواع أساسية
+
+105
+00:09:25,420 --> 00:09:30,100
+وببساطة عشان تحفظوها الشباب هدا هي أكتر حفظوها كده
+
+106
+00:09:30,100 --> 00:09:32,460
+نوع واحد وتلاتة
+
+107
+00:09:35,960 --> 00:09:44,960
+نمرا واحد وتلاتة are quantitative نمرا اتنين is
+
+108
+00:09:44,960 --> 00:09:49,800
+qualitative نمرا
+
+109
+00:09:49,800 --> 00:09:59,460
+واحد is mild to moderate and
+
+110
+00:09:59,460 --> 00:10:08,090
+most common 70% من المرضى من type 1 بينما type 3 is
+
+111
+00:10:08,090 --> 00:10:13,510
+severe and
+
+112
+00:10:13,510 --> 00:10:17,330
+rare
+
+113
+00:10:17,330 --> 00:10:23,050
+لأنه بشكل حوالي 5% type
+
+114
+00:10:23,050 --> 00:10:31,530
+2 في منه أنواع مختلفة حسب الـ mutation و بيشكل ربع
+
+115
+00:10:31,530 --> 00:10:37,030
+الحالات بيشكل ربع الحالات لحوالي خمس أنواع مختلفة
+
+116
+00:10:37,030 --> 00:10:44,150
+هذه التقسيمة الأساسية لكن قالوا أنّه في حاجة جديدة
+
+117
+00:10:44,150 --> 00:10:48,170
+اكتشفوها حوالي 300 حالة سجلت حاجة بيسموها
+
+118
+00:10:48,170 --> 00:10:54,430
+Acquired von Willebrand factor و إن شاء الله هنحكي
+
+119
+00:10:54,430 --> 00:10:58,590
+فيه بالتفصيل يعني النوع الرابع هو عبارة عن إيش
+
+120
+00:10:59,200 --> 00:11:06,260
+Acquired von Willebrand disease الـ
+
+121
+00:11:06,260 --> 00:11:09,540
+Clinical Manifestation شباب زي ما قلتلكوا الـ
+
+122
+00:11:09,540 --> 00:11:15,320
+symptoms تختلف from mild and manageable symptoms
+
+123
+00:11:15,320 --> 00:11:19,100
+إلى severe و unmanageable symptoms الـ symptoms
+
+124
+00:11:28,730 --> 00:11:34,550
+هي مختلفة من الـ mild and manageable bleeding
+
+125
+00:11:34,550 --> 00:11:40,050
+disorders إلى الـ very severe and unmanageable
+
+126
+00:11:40,050 --> 00:11:49,270
+hemorrhage ومن التالي حسب نوع المرض طبعا طيب اتنين
+
+127
+00:11:49,270 --> 00:11:54,730
+و تلاتة الـ bleeding episodes فيهم are life
+
+128
+00:11:54,730 --> 00:11:55,190
+threatening
+
+129
+00:11:58,700 --> 00:12:02,820
+كمان الـ .. المرض ممكن تشوفه في الـ .. في الـ female
+
+130
+00:12:02,820 --> 00:12:10,320
+أكثر ضرورة لإن الـ female بتتعرض لـ risk factor شهري
+
+131
+00:12:10,320 --> 00:12:17,020
+صح؟ هو الـ bleeding أو الـ menorrhea كمان
+
+132
+00:12:17,020 --> 00:12:20,860
+الـ bleeding ممكن يزيد إذا كان المريض بياخد aspirin
+
+133
+00:12:20,860 --> 00:12:24,320
+لإنه في هذه الحالة بنعطل .. احنا البلد اللي تمعطلة
+
+134
+00:12:24,320 --> 00:12:33,230
+و ..بنزيد تعطيلها إلا أنهم من محاسن الصدف أن هذا
+
+135
+00:12:33,230 --> 00:12:38,270
+المرض severity of symptoms are modified are
+
+136
+00:12:38,270 --> 00:12:44,710
+decreased by age ويجالوا
+
+137
+00:12:44,710 --> 00:12:50,590
+أنه بتبدأ مع العمر تزيد تركيز الـ von Willebrand factor
+
+138
+00:12:50,590 --> 00:12:54,820
+which is نعمة ويعني هذه نعمة من نعم الخالق أن هذه
+
+139
+00:12:54,820 --> 00:12:58,560
+الـ von Willebrand factor حتى عند المرضى تبدأ تزيد شوية
+
+140
+00:12:58,560 --> 00:13:06,540
+شوية كل ما الإنسان كبر كل ما الإنسان كبر كمان
+
+141
+00:13:06,540 --> 00:13:11,880
+هذه كلها symptoms للمرض في حوالي 60% من الـ
+
+142
+00:13:11,880 --> 00:13:16,760
+symptoms بيعاني منها المريض الـ  prolonged aPTT و
+
+143
+00:13:16,760 --> 00:13:27,800
+40% easy bruising و hematoma 35% menorrhagia ماشي يعني
+
+144
+00:13:27,800 --> 00:13:36,680
+هذه هي الـ symptoms أخدت نسب مختلفة عند المرضى الـ
+
+145
+00:13:36,680 --> 00:13:40,660
+GI bleeding و الـ dental extraction و الـ trauma و
+
+146
+00:13:40,660 --> 00:13:43,940
+الـ postpartum و postoperative تعرفوا المصطلحات هذه
+
+147
+00:13:43,940 --> 00:13:50,600
+كلها مظبوط postpartum نزيف ما بعد الولادة
+
+148
+00:13:50,600 --> 00:13:53,100
+postoperative
+
+149
+00:13:59,160 --> 00:14:05,820
+ماشي يا شباب؟ طيب، خلّيني أشوف الأنواع المختلفة
+
+150
+00:14:05,820 --> 00:14:08,080
+للـ von Willebrand Disease وبنبدأ بالنوع الأول
+
+151
+00:14:08,080 --> 00:14:13,360
+وهو الـ Type I واتفقنا على أنه mild to moderate and
+
+152
+00:14:13,360 --> 00:14:21,460
+it's a quantitative disorder وبالتالي
+
+153
+00:14:21,460 --> 00:14:23,100
+الـ von Willebrand factor بقى فاكتور could
+
+154
+00:14:23,100 --> 00:14:28,410
+functioning normally عند المرضى هدول usually
+
+155
+00:14:28,410 --> 00:14:35,230
+inherited in autosomal dominant manner و
+
+156
+00:14:35,230 --> 00:14:40,370
+الإصابة في العائلة الواحدة الواحدة قد تختلف
+
+157
+00:14:40,370 --> 00:14:45,570
+dramatically يعني
+
+158
+00:14:45,570 --> 00:14:51,910
+ممكن تلاقي واحد إصابته خفيفة و الـ symptoms عنده
+
+159
+00:14:51,910 --> 00:14:57,970
+خفيفة و التاني ممكن يكون الـ symptoms عندهم عيشبنفس
+
+160
+00:14:57,970 --> 00:15:04,850
+العيلة يعني type 2 قسموه إلى خمس أنواع حسب الـ
+
+161
+00:15:04,850 --> 00:15:12,030
+mutation و تأثيرها على الـ factor الـ von Willebrand
+
+162
+00:15:12,030 --> 00:15:20,010
+equilibrium factor type 2 قسموه
+
+163
+00:15:20,010 --> 00:15:26,260
+إلى خمس أنواع و حسب تأثيرها على الـ factor فيقسموه
+
+164
+00:15:26,260 --> 00:15:32,760
+إلى type 2A و B و C و M و N خمس أنواع مختلفة
+
+165
+00:15:32,760 --> 00:15:37,780
+معظمها بيتأثر
+
+166
+00:15:37,780 --> 00:15:43,840
+بيختلف فيها صفات الـ multimers formed from one to
+
+167
+00:15:43,840 --> 00:15:49,680
+one يعني على سبيل المثال في type 2A بنلاقي فيه نقص
+
+168
+00:15:49,680 --> 00:15:53,500
+في الـ high and intermediate multimers إيش الـ
+
+169
+00:15:53,500 --> 00:15:57,800
+multimers ده يا شباب؟ مش قولنا الـ von Willebrand factor
+
+170
+00:15:57,800 --> 00:16:06,440
+لما بتصنع بياخد عدة أشكال ماشي بيبدأ بتصنع
+
+171
+00:16:06,440 --> 00:16:10,000
+بـ .. بـ .. بـ .. بـ .. preliminary structure ثم
+
+172
+00:16:10,000 --> 00:16:15,240
+بيصلوا modification فبنشوف عدة أشكال من مين من الـ
+
+173
+00:16:15,240 --> 00:16:18,300
+von Willebrand factor منها الـ monomer و منها
+
+174
+00:16:18,300 --> 00:16:21,880
+الـ dimer و منها الـ trimer ماشي و منها الـ
+
+175
+00:16:21,880 --> 00:16:27,300
+multimers multi يعني ايه؟ عدة مية فين النوع هذا،
+
+176
+00:16:27,300 --> 00:16:30,560
+بنلاقي نوع الـ Multimers غايب، نوع إيش الـ
+
+177
+00:16:30,560 --> 00:16:35,040
+Multimers الـ High or Intermediate Multimers is
+
+178
+00:16:35,040 --> 00:16:43,120
+absent الـ Type 2B، اللي هو فيه عنده صفة مختلفة،
+
+179
+00:16:43,120 --> 00:16:46,780
+أنه والله الـ Multimers بترتبط في الـ Platelet
+
+180
+00:16:46,780 --> 00:16:51,220
+Excessively، يعني عندها High Affinity لمين؟
+
+181
+00:17:12,240 --> 00:17:19,220
+Type IIc ريسسف و الهي مالتيمار فورم is reduced لكن
+
+182
+00:17:19,220 --> 00:17:24,000
+الـ multimers are qualitatively abnormal
+
+183
+00:17:27,060 --> 00:17:35,880
+2M تقل قدرته على الارتباط بـ Factor 8 2M تقل قدرته
+
+184
+00:17:35,880 --> 00:17:36,800
+على الارتباط بـ Factor 8 2M تقل قدرته على الارتباط
+
+185
+00:17:36,800 --> 00:17:36,820
+2M تقل قدرته على الارتباط بـ Factor 8 2M تقل قدرته
+
+186
+00:17:36,820 --> 00:17:36,940
+على الارتباط بـ Factor 8 2M تقل قدرته على الارتباط
+
+187
+00:17:36,940 --> 00:17:37,760
+بـ Factor 8 2M تقل قدرته على الارتباط بـ Factor 8
+
+188
+00:17:37,760 --> 00:17:42,200
+2M تقل قدرته على الارتباط بـ Factor 8 2M تقل قدرته
+
+189
+00:17:42,200 --> 00:17:44,400
+على الارتباط بـ Factor 8 2M تقل قدرته على الارتباط
+
+190
+00:17:44,400 --> 00:17:49,480
+بـ Factor
+
+191
+00:17:49,480 --> 00:17:56,430
+8 2M تقهو عبارة عن severe وبالتالي ما زال severe
+
+192
+00:17:56,430 --> 00:18:00,530
+يعني ملاقيش factor اللي هو von Willebrand factor علشان
+
+193
+00:18:00,530 --> 00:18:07,210
+هيك القياس بيكون undetectable Undetectable وغياب
+
+194
+00:18:07,210 --> 00:18:11,490
+von Willebrand factor بينعكس سلبا على الـ factor 8
+
+195
+00:18:11,490 --> 00:18:17,070
+فبنلاقي المريض هذا عنده hemophilia بالاضافة إلى
+
+196
+00:18:17,070 --> 00:18:23,660
+von Willebrand disease ماشي يا شباب؟ هذه التلاتة أنواع
+
+197
+00:18:23,660 --> 00:18:27,440
+المختلفة قلنا فيه نوع رابع سميناه Acquired von
+
+198
+00:18:27,440 --> 00:18:32,680
+Willebrand Disease وزي ما قلتلكوا اكتشفوه في 1970
+
+199
+00:18:32,680 --> 00:18:38,520
+وسجلت حوالي 300 حالة منه وغالبا
+
+200
+00:18:38,520 --> 00:18:44,260
+بنشوفه في الكبار with
+
+201
+00:18:44,260 --> 00:18:46,760
+no personal or family bleeding history
+
+202
+00:18:49,780 --> 00:18:56,320
+ولمّا بنشتغل عليه بيجي الشخص و بنلاقي تقريبا بيشبه
+
+203
+00:18:56,320 --> 00:19:04,040
+type 2 of von Willebrand disease و جال الـ mechanisms
+
+204
+00:19:04,040 --> 00:19:13,540
+بيتضمن أكثر منها منها نمرا واحد auto antibody
+
+205
+00:19:13,540 --> 00:19:19,560
+formation لمين؟ 100% عارفين إيش الـ auto-antibody؟
+
+206
+00:19:19,560 --> 00:19:23,580
+فجأة و بدون سبق إنذار تبدأ تتكوّن antibody للـ
+
+207
+00:19:23,580 --> 00:19:28,300
+von Willebrand factor.نبرة اتنين، ميكانيزم تاني
+
+208
+00:19:28,300 --> 00:19:32,220
+يؤدي لـ acquired form، أن والله الـ certain
+
+209
+00:19:32,220 --> 00:19:36,560
+von Willebrand multimers بيزيد ارتباطها بـ tumor،
+
+210
+00:19:36,560 --> 00:19:43,460
+بإيه؟ بالـ tumor masses، وبالتالي وكأننا بنعمل
+
+211
+00:19:43,460 --> 00:19:47,710
+selective removal لمين؟ للـ von Willebrand factor.وهو
+
+212
+00:19:47,710 --> 00:19:53,350
+بقى acquired deficiency of von Willebrand factor صح؟
+
+213
+00:19:53,350 --> 00:19:57,150
+لما الـ von Willebrand factor يتطبق بالـ tumor cell or
+
+214
+00:19:57,150 --> 00:20:03,210
+reactive cell بيجيل من اللي بلازم و لا بيجيل ..
+
+215
+00:20:03,210 --> 00:20:05,770
+بيجيل من اللي بلازم وبالتالي هو كأنها indirectly
+
+216
+00:20:05,770 --> 00:20:10,870
+بنعمل Increased proteolysis of von Willebrand factor
+
+217
+00:20:10,870 --> 00:20:16,050
+ببدأ يتكسر بزيادة برضه من الميكانيزمات و ..
+
+218
+00:20:17,410 --> 00:20:19,730
+Defective synthesis and release of von
+
+219
+00:20:19,730 --> 00:20:23,110
+Willebrand factors from cellular compartment والله بيبدأ
+
+220
+00:20:23,110 --> 00:20:33,710
+يتصنع تصنيع خاطئ أو قليل في الخلايا المصنعة من ما
+
+221
+00:20:33,710 --> 00:20:36,590
+يميز الـ acquired disease يا شباب acquired
+
+222
+00:20:36,590 --> 00:20:39,590
+von Willebrand disease أنه لجوء associated with
+
+223
+00:20:39,590 --> 00:20:42,810
+certain with other diseases زي الـ myelodysplastic
+
+224
+00:20:42,810 --> 00:20:46,520
+proliferative و الـ lymphoproliferative و الـ
+
+225
+00:20:46,520 --> 00:20:54,920
+cardiovascular disease و هكذا مفهوم
+
+226
+00:20:54,920 --> 00:21:00,140
+يا شباب طيب كيف نشخص الـ von Willebrand disease جالوا
+
+227
+00:21:00,140 --> 00:21:05,540
+أدوات التشخيص هي فحصات الـ hemostasis وهي الـ BT و
+
+228
+00:21:05,540 --> 00:21:13,640
+الـ aPTT و الـ bleeding time ماشي نبدأ بالـ BT و الـ
+
+229
+00:21:13,640 --> 00:21:20,080
+aPTT أنا انتبه عليا في التشخيص انتبه عليا بي تي و بي
+
+230
+00:21:20,080 --> 00:21:23,240
+تي تي الـ BT و الـ aPTT كل كوا أخدتوها في
+
+231
+00:21:23,240 --> 00:21:28,800
+المعمل بي تي بيشخص مين؟ Extrinsic pathway و الـ بي
+
+232
+00:21:28,800 --> 00:21:34,920
+تي تي Intrinsic pathway لأ الـ BT في الـ von Willebrand
+
+233
+00:21:34,920 --> 00:21:40,040
+factor بيكون normal ليش؟ لأنه إنترنزق
+
+234
+00:21:45,680 --> 00:21:48,740
+أيوة بالظبط هو حامل فاكتور 8 و فاكتور 8
+
+235
+00:21:48,740 --> 00:21:51,940
+اللي نحتاجه في الـ intrinsic و بالتالي الـ
+
+236
+00:21:51,940 --> 00:21:55,840
+prolongation بيصير في إيش؟ في الـ aPTT بينما الـ BT
+
+237
+00:21:55,840 --> 00:22:01,660
+بيكون normal طبعا يا شباب مهم جدا أن في كثير من
+
+238
+00:22:01,660 --> 00:22:08,160
+الأحيان بيطلعلك aPTT normal  أن بعض المرضى لكن هذا
+
+239
+00:22:08,160 --> 00:22:15,160
+لا يستثني الـ von Willebrand disease ليش؟ لأن قلنا
+
+240
+00:22:15,160 --> 00:22:18,280
+عن بعض الأمراض اللي بيكون الـ factor فيها normal
+
+241
+00:22:18,280 --> 00:22:24,500
+تقريبا زي type I type I إيش تقريبا ما بيعاني
+
+242
+00:22:24,500 --> 00:22:27,200
+المريض من أي حاجة و الـ von Willebrand factor
+
+243
+00:22:27,200 --> 00:22:31,420
+functioning normally وبالتالي لا يستثني تشخيص من
+
+244
+00:22:31,420 --> 00:22:41,420
+الـ von Willebrand factor طب الـ .. في بعض الأحيان both
+
+245
+00:22:41,420 --> 00:22:47,700
+tests are prolonged في هذه الحالة يا شباب ده
+
+246
+00:22:47,700 --> 00:22:51,980
+تستنى أسبوعين ثم تعيد الفحص مرة ثانية علشان إيش؟
+
+247
+00:22:51,980 --> 00:22:57,060
+علشان تتحقق من هذه النتيجة إذا كان شاكك في الـ
+
+248
+00:22:57,060 --> 00:23:05,540
+disease ماشي إذا فحصين طلعة prolonged إذا الفحصين
+
+249
+00:23:05,540 --> 00:23:09,360
+طلعة normal قلنا الـ aPTT الـ normal لا يستثني
+
+250
+00:23:09,360 --> 00:23:13,300
+تشخيصيا الـ von Willebrand إذا التانين طلعة abnormal 
+
+251
+00:23:13,300 --> 00:23:17,960
+دفتريد الفحص بعد شبعين إذا كنت شاكم في von Willebrand
+
+252
+00:23:17,960 --> 00:23:23,080
+disease ماشي؟ الأصل يطلع ال BT normal و ال PTT 
+
+253
+00:23:23,080 --> 00:23:25,700
+abnormal ماشي؟
+
+254
+00:23:31,170 --> 00:23:34,630
+طب أنا نفسي طلع يعني للإثنين و بره ال video اللي
+
+255
+00:23:34,630 --> 00:23:38,230
+.. أنت تقعد الفحص بقعدش معايا بقعدش معايا زاد طبعا
+
+256
+00:23:38,230 --> 00:23:43,870
+لأن المرض مش مهم بالبرادر و بدك تدور على حاجة
+
+257
+00:23:43,870 --> 00:23:50,270
+ثانية لإن واحتمالي كبير تكون خلطان في العينة في
+
+258
+00:23:50,270 --> 00:23:55,090
+الفحص الأولاني و احنا بنعيد عشان نتحقق من النتيجة
+
+259
+00:23:55,090 --> 00:23:56,630
+باستخدام عينة
+
+260
+00:24:04,220 --> 00:24:07,720
+بالنسبة لل bleeding time يا شباب لغاية الآن ماحدش
+
+261
+00:24:07,720 --> 00:24:15,320
+بيطلبوا لأنه non specific و non sensitive not
+
+262
+00:24:15,320 --> 00:24:21,080
+specific و not sensitive و the test by itself
+
+263
+00:24:21,080 --> 00:24:25,540
+subject to varying wide variation يعني varying
+
+264
+00:24:25,540 --> 00:24:27,480
+results
+
+265
+00:24:32,210 --> 00:24:37,710
+ماشي؟ ما هي المشاكل التي تواجهنا في تشخيص von
+
+266
+00:24:37,710 --> 00:24:42,390
+Willebrand disease تبقى على هذه النقاط المهمة مشاكل
+
+267
+00:24:42,390 --> 00:24:46,990
+التي تواجهنا في تشخيص مين ال von Willebrand disease
+
+268
+00:24:46,990 --> 00:24:51,610
+نمرة
+
+269
+00:24:51,610 --> 00:24:56,630
+واحد von Willebrand level itself قالو it vary
+
+270
+00:24:56,630 --> 00:24:57,430
+greatly
+
+271
+00:25:01,970 --> 00:25:05,650
+وبتاخد ال flash لأنه اعتبره acute phase protein
+
+272
+00:25:05,650 --> 00:25:11,590
+ايش ال acute phase protein يا شباب؟ acute phase
+
+273
+00:25:11,590 --> 00:25:15,830
+protein هو عبارة عن protein بتشتمع في ال liver في
+
+274
+00:25:15,830 --> 00:25:20,610
+ظروف معينة بكميات كبيرة من هذه الظروف
+
+275
+00:25:20,610 --> 00:25:24,730
+psychological stresses زي مثلًا اللي أخدته مثلًا
+
+276
+00:25:24,730 --> 00:25:29,120
+في ال hormone في ال endocrine إن الواحد لما يكون
+
+277
+00:25:29,120 --> 00:25:32,000
+خشرا امتحان وخايف منه يقول اللي حقا بكميات كبيرة
+
+278
+00:25:32,000 --> 00:25:36,140
+وظبط psychological factor بيسموها adrenergic
+
+279
+00:25:36,140 --> 00:25:41,860
+stimuli أو
+
+280
+00:25:41,860 --> 00:25:45,980
+مثال آخر كمان أخدته أكيد في الفحصان سمعتوا بفحص
+
+281
+00:25:45,980 --> 00:25:51,640
+CRP؟ C-reactive protein سمعتوا فيه؟ أي أكيد
+
+282
+00:25:51,640 --> 00:25:56,580
+سمعتوا فيه أخدته في السواقل C-reactive protein هو
+
+283
+00:25:56,580 --> 00:25:57,200
+بره الفحص
+
+284
+00:25:59,960 --> 00:26:06,940
+ماشي هو ال specific test اللي بنعمله في حالات ال
+
+285
+00:26:06,940 --> 00:26:11,940
+inflammation غير ال ESR ال ESR بنعتبرها non
+
+286
+00:26:11,940 --> 00:26:16,580
+specific مشي ليه؟ ياله لإنه في ال inflammatory
+
+287
+00:26:16,580 --> 00:26:20,320
+reaction C-reactive protein هو برضه ال protein
+
+288
+00:26:20,320 --> 00:26:23,820
+is an acute phase بيصنع بجنونيات كبيرة طول ما في
+
+289
+00:26:23,820 --> 00:26:28,970
+inflammation ويوم ما يروح ال inflammation يروح
+
+290
+00:26:28,970 --> 00:26:32,570
+بضبط اللي انتج فإذا كان فيه inflammation هيدينا
+
+291
+00:26:32,570 --> 00:26:35,690
+positive وإذا مفيش inflammation هيدينا negative
+
+292
+00:26:35,690 --> 00:26:42,390
+ماشي؟ ال von Willebrand factor هو واحد من هذه ال
+
+293
+00:26:42,390 --> 00:26:45,110
+factors acute phase protein يصنع من كميات كبيرة إن
+
+294
+00:26:45,110 --> 00:26:51,310
+في ظروف معينة ماشي؟ هو و ال ferritin و C-reactive
+
+295
+00:26:51,310 --> 00:26:58,630
+protein ومجموعة من ايش؟ من البروتينات بتعتبر C
+
+296
+00:26:58,630 --> 00:27:05,570
+-reactive بتعتبر acute physiological فبيختلف
+
+297
+00:27:05,570 --> 00:27:11,050
+تركيزها باختلاف الوضع على سبيل المثال في ال
+
+298
+00:27:11,050 --> 00:27:17,110
+psychological .. physiological stresses إنه آه تحت
+
+299
+00:27:17,110 --> 00:27:22,850
+ضغط نفس الإنسان أو مريض اجاك طفل صغير اجاك بعيط
+
+300
+00:27:22,850 --> 00:27:28,640
+على سبيل المثال وهو بعيط طول ما هو بعيط هي النسبة
+
+301
+00:27:28,640 --> 00:27:34,240
+احتمالي كبير النتيجة تكون خاطئة لأنه هيختلفهاش ال
+
+302
+00:27:34,240 --> 00:27:39,520
+crying هو عبارة عن physiological stress للطفل وإذا
+
+303
+00:27:39,520 --> 00:27:43,100
+كان صار في physiological stress يعني صار في زيادة
+
+304
+00:27:43,100 --> 00:27:46,640
+فيهاش في ال von Willebrand factor يعني لو كان مريض بديه
+
+305
+00:27:46,640 --> 00:27:50,780
+يطلع normal صح؟ لو كان مريض بديه يطلع عياش normal
+
+306
+00:27:52,240 --> 00:27:55,340
+في موجود الإستروجين و ال vasopressin و ال growth
+
+307
+00:27:55,340 --> 00:28:00,620
+hormone و ال adrenergic stimuli كلهم بيعني ال
+
+308
+00:28:00,620 --> 00:28:06,700
+adrenaline release كلهم بيؤدوا إلى زيادة ال
+
+309
+00:28:06,700 --> 00:28:12,400
+von Willebrand factor هو بالتالي ال von Willebrand
+
+310
+00:28:12,400 --> 00:28:16,460
+factor ممكن يطلع normal ماشي
+
+311
+00:28:20,140 --> 00:28:25,700
+شو لازم أعمل في هذه الحالة؟ الأصل إني أعيد الفحص
+
+312
+00:28:25,700 --> 00:28:32,760
+to confirm the results فبينصحوا دائما بإنه نعيد
+
+313
+00:28:32,760 --> 00:28:38,360
+الفحص عدة مرات in a two weeks interval بين كل فحص
+
+314
+00:28:38,360 --> 00:28:47,000
+و الثاني أسبوعين ماشي عشان ايه؟ عشان أصل إلى تشخيص
+
+315
+00:28:47,000 --> 00:28:48,340
+صحيح
+
+316
+00:28:50,550 --> 00:28:53,970
+طبعا في .. ينصح أثناء أخذ العينة أن المريض يكون
+
+317
+00:28:53,970 --> 00:28:59,610
+بعيد عن أي stresses من ضمنها أي hemorrhage، أي
+
+318
+00:28:59,610 --> 00:29:05,290
+اللي هو infection أو extreme exercise، كل هذه ممكن
+
+319
+00:29:05,290 --> 00:29:10,390
+تعمل pregnancy، لازم تكون بعيد عن ايه هذه الشغلات
+
+320
+00:29:10,390 --> 00:29:16,010
+عشان تصل إلى نتيجة كبيرة يبقى هذه المشكلة الثانية
+
+321
+00:29:16,010 --> 00:29:18,750
+اللي بتواجهنا المشكلة الثالثة قالوا إن في بعض
+
+322
+00:29:18,750 --> 00:29:24,430
+الناس بتتأثر نسبة ال factor حسب فصيلة الدم وهذه
+
+323
+00:29:24,430 --> 00:29:29,110
+عبارة عن statistical data ماشي؟ قالوا حسب نوع الدم
+
+324
+00:29:29,110 --> 00:29:38,030
+بنلاقي ال factor يعني بيختلف من شخص إلى آخر طيب
+
+325
+00:29:38,030 --> 00:29:44,610
+كيف نشخص يا شباب؟ كيف نشخص؟ شوفوا ميهر في حوصاتنا
+
+326
+00:29:44,610 --> 00:29:48,030
+اللي بنعملها قالوا بنعمل نمرة واحد ristocetin مع ال
+
+327
+00:29:48,030 --> 00:29:51,470
+platelets أشهر
+
+328
+00:29:51,470 --> 00:29:51,950
+ristocetin مع ال platelets
+
+329
+00:30:00,930 --> 00:30:04,590
+في aggregation في ايش بيجيس ال aggregation؟ في
+
+330
+00:30:04,590 --> 00:30:07,910
+aggregometer، مظبوط؟ عشان أنا أخدناها كله؟ الجهاز
+
+331
+00:30:07,910 --> 00:30:13,130
+ال aggregometer؟ آه كل ال agonists دي طيب ايش بيعمل
+
+332
+00:30:13,130 --> 00:30:15,630
+في ال ristocetin system؟ جاله ristocetin system، إذا
+
+333
+00:30:15,630 --> 00:30:24,450
+فكرينش بقى، يستطيع أن ينشط حتى البلاتليت المحفوظة
+
+334
+00:30:24,450 --> 00:30:30,590
+في ال formalin مجبوط، فهو strong agonist، strong
+
+335
+00:30:30,590 --> 00:30:36,770
+agonist، ماشي؟ فبنشوف تأثيره على ال platelet
+
+336
+00:30:36,770 --> 00:30:43,810
+function، ماشي؟ في وجود الفرق اللي بنأخده، ماشي
+
+337
+00:30:43,810 --> 00:30:49,860
+بنعمل، بروح و احنا جايبين von Willebrand Factor
+
+338
+00:30:49,860 --> 00:30:53,560
+أيها induce الـ von Willebrand Factor to bind
+
+339
+00:30:53,560 --> 00:30:59,780
+with the platelet receptor بيرتبط في مين؟ GP1B
+
+340
+00:30:59,780 --> 00:31:04,820
+مظبوط طب ايش بده يعمل؟ بده يعمل adhesion، هذي
+
+341
+00:31:04,820 --> 00:31:12,380
+جابلي ال aggregation، مظبوط؟ طيب، ثم ب .. الرسو ..
+
+342
+00:31:12,380 --> 00:31:16,420
+بتقيس الرسو في certain cofactor activity من خلال
+
+343
+00:31:17,540 --> 00:31:21,980
+ال agglutination أو metabolically inactive
+
+344
+00:31:21,980 --> 00:31:32,160
+platelet تبدأ تترسل ثم
+
+345
+00:31:32,160 --> 00:31:37,960
+بتعمل ristocetin-induced platelet activation RIPA
+
+346
+00:31:37,960 --> 00:31:44,240
+اختصار لمين؟ ristocetin-induced
+
+347
+00:31:44,240 --> 00:31:46,420
+platelet
+
+348
+00:31:55,420 --> 00:31:59,420
+activation طبعا هذا عبارة عن ايش بتقيس ال
+
+349
+00:31:59,420 --> 00:32:02,500
+metabolically active platelet الكلام هذا كله
+
+350
+00:32:02,500 --> 00:32:05,720
+بتقيسه بواسطة ال aggregometer which is used to
+
+351
+00:32:05,720 --> 00:32:08,440
+measure the rate of aggregation
+
+352
+00:32:24,350 --> 00:32:30,570
+خلصته؟ ماشي؟ طيب شغلة ثانية immunological
+
+353
+00:32:30,570 --> 00:32:36,190
+test بتقيس ال von Willebrand antigen عشان تقيس von
+
+354
+00:32:36,190 --> 00:32:39,250
+Willebrand antigen بدك تعمله antibody فبتصير التفاعل
+
+355
+00:32:39,250 --> 00:32:43,070
+antigen-antibody reaction بتقيسه كيف؟ quantitatively
+
+356
+00:32:43,070 --> 00:32:48,120
+يا شباب بال ELISA Technique مش أخدتوها ده ال ELISA؟
+
+357
+00:32:48,120 --> 00:32:53,320
+100% بتعتبره بروتين، بتكون له antibody و cast by
+
+358
+00:32:53,320 --> 00:33:02,100
+ELISA quantitatively الأصل يا شباب إنه النتائج بين
+
+359
+00:33:02,100 --> 00:33:07,200
+الفحوصات المختلفة تتوافق بين الفحوصات المختلفة
+
+360
+00:33:07,200 --> 00:33:12,460
+تتوافق وعدم توافقها بيعني إنه بيخلينا in shock في
+
+361
+00:33:12,460 --> 00:33:17,730
+إنه ال von Willebrand اللي احنا بندور عليه هو من النوع
+
+362
+00:33:17,730 --> 00:33:21,610
+ال qualitative type مش ال quantitative يعني type
+
+363
+00:33:21,610 --> 00:33:26,610
+two مش type واحد أو ايش أو اثنين وهي type two
+
+364
+00:33:26,610 --> 00:33:31,070
+عشان نشخص بالظبط أي نوع منه بدنا نعمل further
+
+365
+00:33:31,070 --> 00:33:35,610
+investigation صح؟ لتالي بدنا نتابع و نشوف ايش ال
+
+366
+00:33:35,610 --> 00:33:40,050
+investigation فبالقيم ندرس ال multimer forms
+
+367
+00:33:40,050 --> 00:33:45,270
+المختلفة في ال von Willebrand وبندرسها بواسطة
+
+368
+00:33:45,270 --> 00:33:50,030
+بفحص، ايش؟
+
+369
+00:33:50,030 --> 00:33:53,390
+كيف بدك تعرف الأنواع المختلفة من ال multimer في
+
+370
+00:33:53,390 --> 00:34:04,030
+الدنيا؟ بفحص ال electrophoresis؟
+
+371
+00:34:05,010 --> 00:34:07,150
+وانتش هاك عليها هي electrophoresis فانا أقول اللي
+
+372
+00:34:07,150 --> 00:34:11,070
+هو paper هي electrophoresis ال electrophoresis
+
+373
+00:34:11,070 --> 00:34:15,850
+بتعرفوا ال principle تبعه بيصير عملية فصل between
+
+374
+00:34:15,850 --> 00:34:22,050
+different components بناء على ال charge و ال
+
+375
+00:34:22,050 --> 00:34:27,610
+size فهذا هو الفحص شايفين الفحص يا شباب؟ شايفين 
+
+376
+00:34:27,610 --> 00:34:32,390
+الصورة؟ هذا normal هي عبارة عن multimers كل واحد
+
+377
+00:34:32,390 --> 00:34:38,380
+.. كل ..كل form أخد عياش band شايفين ال patient
+
+378
+00:34:38,380 --> 00:34:44,680
+قداش نص العياش ال normal نص العياش ال normal
+
+379
+00:34:44,680 --> 00:34:54,040
+بالتالي ممكن نشخص منه بسهولة treatment بيعاجوا
+
+380
+00:34:54,040 --> 00:35:00,720
+المرض هذا بال DDAVB خدناه المرض هذيك وقولنا هيش
+
+381
+00:35:00,720 --> 00:35:08,140
+بعملخدناك علاج لمرضى الهموفيليا مرضى الهموفيليا
+
+382
+00:35:08,140 --> 00:35:13,080
+عندهم نقص في factor 8 وقولنا الناس اللي عندهم mild
+
+383
+00:35:13,080 --> 00:35:19,860
+hemophilia نديهم DDABB عشان بالظبط بتطلع الفوم
+
+384
+00:35:19,860 --> 00:35:23,580
+الابرهن من مخالبه فبيزود الفوم الابرهن اللي بده
+
+385
+00:35:23,580 --> 00:35:27,980
+يحمي الكمية القليلة من factor 8 طيب يعني هو بيزود
+
+386
+00:35:27,980 --> 00:35:30,500
+الفوم الابرهن طب الأولى أنه نعالج مريض الفوم
+
+387
+00:35:30,500 --> 00:35:36,720
+الابرهن يا بابا، مجبوط؟فبالتالي هو علاج لل Vomit
+
+388
+00:35:36,720 --> 00:35:40,940
+Cryoprecipitate هو بره ان احد ال blood
+
+389
+00:35:40,940 --> 00:35:46,140
+component بيحتوي على كمية كبيرة من ال Factor VIII Cryoprecipitate
+
+390
+00:35:46,140 --> 00:35:49,740
+فاكتور تمانية concentrate برضه احد ال plasma
+
+391
+00:35:49,740 --> 00:35:57,740
+component اللى بيحضر التحضير بالمصانع و بيحتوي
+
+392
+00:35:57,740 --> 00:36:02,830
+ايضا على كمية كبيرة من ايش؟ من ال Factor VIII Concentrate طبعا
+
+393
+00:36:02,830 --> 00:36:09,410
+شباب هذا ال treatment اول صفحتين و التالتين هذا و
+
+394
+00:36:09,410 --> 00:36:15,210
+هذا يعني كيفية العلاج
+
+395
+00:36:15,210 --> 00:36:20,510
+و ال protocol العلاج و كدهش لازم نعطي يعني مش كتير
+
+396
+00:36:20,510 --> 00:36:26,390
+احنا معانين فيه هنا بقى كمان من ال treatment هدا
+
+397
+00:36:26,390 --> 00:36:30,190
+هي ال platelet transfusion انك تعطي platelet مظبوط
+
+398
+00:36:30,190 --> 00:36:33,990
+واحد عنده كمية ال Factor VIII قليلة طب زود ال
+
+399
+00:36:33,990 --> 00:36:42,030
+platelet ماشي عشان ايه؟ عشان يتزود اللي هو ال Factor VIII
+
+400
+00:36:42,030 --> 00:36:45,450
+لأنه كمان ال platelet تحتوي على Factor VIII
+
+401
+00:36:45,450 --> 00:36:49,110
+طب ما cryoprecipitate قلنا عبارة عن هو
+
+402
+00:36:49,110 --> 00:36:52,930
+جزء من ال human plasma بيحتوي على كمية كبيرة من ال
+
+403
+00:36:52,930 --> 00:36:57,750
+factor 8 و Factor VIII و ال fresh frozen plasma
+
+404
+00:36:57,750 --> 00:37:02,820
+أيضابيحتوي على كمية كبيرة من ال Factor VIII و من الأبناء
+
+405
+00:37:02,820 --> 00:37:09,300
+احد عنده سؤال؟
+
+406
+00:37:09,300 --> 00:37:14,520
+حد عنده سؤال يا شباب؟
+
+407
+00:37:14,520 --> 00:37:20,740
+طيب نكمل في ال DIC DIC اختصار ل disseminate
+
+408
+00:37:20,740 --> 00:37:27,680
+Intravascular Coagulation ماشي disseminated
+
+409
+00:37:27,680 --> 00:37:28,400
+Intravascular
+
+410
+00:37:34,790 --> 00:37:40,590
+Syndrome بيتميز بـ Systemic، إيش يعني Systemic؟
+
+411
+00:37:40,590 --> 00:37:45,410
+يعني كل الجسم ده، ماشي، ينتشر Intravascular
+
+412
+00:37:45,410 --> 00:37:52,090
+Coagulopathy جلطات منتشرة في جميع أنحاء الجسم،
+
+413
+00:37:52,090 --> 00:37:59,420
+يعني بدايته إيش؟ جلطة، ماشي؟ and clotting
+
+414
+00:37:59,420 --> 00:38:04,060
+initial event يعني الحدث الأولى هو إيش؟ هو clot
+
+415
+00:38:04,060 --> 00:38:09,640
+formation ومعظم الوفيات بتعتمد على ال extent of
+
+416
+00:38:09,640 --> 00:38:13,460
+intravascular thrombosis، جداش صار فيه جلطات
+
+417
+00:38:13,460 --> 00:38:21,440
+الوفيات بتعتمد على إيش؟ جداش صار فيه جلطات ومن
+
+418
+00:38:21,440 --> 00:38:26,100
+أسبابه .. أسبابه متعددة أسبابه متعددة عند حد أنا
+
+419
+00:38:26,100 --> 00:38:26,960
+تطرق إليها
+
+420
+00:38:31,540 --> 00:38:35,940
+بتنتشر بشكل سيستيميك في جميع حالة الجسم وحسب
+
+421
+00:38:35,940 --> 00:38:42,020
+انتشارها بتعتمد حالات الوفاية على انتشار هذه
+
+422
+00:38:42,020 --> 00:38:48,920
+الجبطات واسبابهم متعددة طيب acquired syndrome
+
+423
+00:38:48,920 --> 00:38:52,580
+بتتميز بـ Intravascular Coagulability وهذا اللي
+
+424
+00:38:52,580 --> 00:38:56,600
+تاوم حاكيناه كله مهم شوفوا كيف بتتم الحكاية شبكة
+
+425
+00:38:56,600 --> 00:39:00,180
+تنتبه عليها هي Systemic Activation of Coagulation
+
+426
+00:39:01,270 --> 00:39:07,450
+Cascade Systemic يعني إيش؟ في كلها، بالظبط، مش
+
+427
+00:39:07,450 --> 00:39:11,830
+localized هذا بيؤدي إلى Intravascular بعد فترة
+
+428
+00:39:11,830 --> 00:39:17,050
+بتضل تعمل جلطة، تعمل جلطة، تعمل جلطة المواد الخام
+
+429
+00:39:17,050 --> 00:39:24,510
+بتضل موجودة، بتخلص، صح؟ فبدأ جبل ما تخلص يصير فيه
+
+430
+00:39:24,510 --> 00:39:28,830
+Intravascular Deposition of Fibrin بتكون جلطات من
+
+431
+00:39:28,830 --> 00:39:34,400
+ال fibrin في أماكن متعددةThrombosis of small and
+
+432
+00:39:34,400 --> 00:39:41,320
+mid-sized vessel وهو يؤدي إلى ischemia و organ
+
+433
+00:39:41,320 --> 00:39:47,360
+failure، مظبوط؟ لكن زي ما قلتلكوا، استمرار هذه
+
+434
+00:39:47,360 --> 00:39:54,840
+الحالة بيتطلب أو بيتبعوا أن المواد الخامة تخلص من
+
+435
+00:39:54,840 --> 00:39:58,520
+الـplatelet و ال coagulation factor وإذا خلصها،
+
+436
+00:39:58,520 --> 00:40:02,920
+يخش المريض في إيه؟ في bleedingوالاتنين بيعدوا
+
+437
+00:40:02,920 --> 00:40:06,640
+للوفاة
+
+438
+00:40:06,640 --> 00:40:13,700
+عيد تاني عيد تاني Systemic احنا بنقول
+
+439
+00:40:13,700 --> 00:40:18,440
+Intravascular Coagulopathy يعني في activation
+
+440
+00:40:18,440 --> 00:40:21,620
+ال coagulation cascade mechanism في مكان واحد في الجسم
+
+441
+00:40:21,620 --> 00:40:27,120
+لأ في أماكن مختلفة فمحصلة نشاط ال coagulation cascade
+
+442
+00:40:27,120 --> 00:40:32,080
+تكوين thrombin يعني في جلطاتوإذا صار فيه fibrin
+
+443
+00:40:32,080 --> 00:40:38,780
+formation شو بيعمل؟ جلطات في ال small و ال mid
+
+444
+00:40:38,780 --> 00:40:45,740
+-sized vessel هذا بيؤدي ليش؟ ischemia 100% وإذا صار فيه
+
+445
+00:40:45,740 --> 00:40:50,520
+ischemia فيه organ failure استمرت الحكاية هيؤدي
+
+446
+00:40:50,520 --> 00:40:54,000
+إلى depletion of coagulation factor and platelet
+
+447
+00:40:54,000 --> 00:40:59,780
+وهذا بيؤدي إلى bleeding وقلت ليه؟ طبعا سواء كانت
+
+448
+00:40:59,780 --> 00:41:06,100
+جلطةأو اسكيميا و الـ bleeding بسبب الوفاة
+
+449
+00:41:06,100 --> 00:41:09,820
+pathophysiology
+
+450
+00:41:09,820 --> 00:41:15,400
+of DIC كيف يتم ترتيب الميكانيزم كيف تم ترتيبه
+
+451
+00:41:15,400 --> 00:41:19,360
+قاليته activation of blood coagulation ما اتفقنا
+
+452
+00:41:19,360 --> 00:41:23,680
+ثم suppression of physiological anticoagulant كل
+
+453
+00:41:23,680 --> 00:41:27,760
+الـ anticoagulant في البداية مثل الـ unblocking
+
+454
+00:41:27,760 --> 00:41:33,020
+شغالالـ Coagulant الـ Pro-Coagulant يشغّل الـ Anti
+
+455
+00:41:33,020 --> 00:41:37,000
+-Coagulant و أقفل وهي بيصير فيه impairment للـ
+
+456
+00:41:37,000 --> 00:41:40,500
+Fibrinolysis يعني مافيش إذهاب للجلطة أحنا قلنا الـ
+
+457
+00:41:40,500 --> 00:41:43,420
+Fibrinolysis ممكن يعمل ال bleeding مافيش إذهاب
+
+458
+00:41:43,420 --> 00:41:48,700
+للجلطة لكن بيصير كمان cytokine release ونشوف واحد
+
+459
+00:41:48,700 --> 00:41:52,620
+واحد هذه العوامل شو بتأثر activation و blood
+
+460
+00:41:52,620 --> 00:41:56,280
+coagulation يا شباب كيف ممكن يصير blood
+
+461
+00:41:56,280 --> 00:41:56,920
+coagulation
+
+462
+00:41:59,650 --> 00:42:05,770
+Cascade Activation Tissue Factor صح؟ وهذه من أخطر
+
+463
+00:42:05,770 --> 00:42:11,790
+الحاجات اللي بتصير يا شباب انه مريض لسبب ما يصير
+
+464
+00:42:11,790 --> 00:42:16,250
+blood vessel injury و ب release of tissue factor و
+
+465
+00:42:16,250 --> 00:42:20,210
+إذا سوصل ال tissue factor للدم ممكن يسبح في الدم و
+
+466
+00:42:20,210 --> 00:42:25,210
+يصير يكون جلطات في مناطق مختلفة من الجسم صح؟ فهي
+
+467
+00:42:25,210 --> 00:42:31,330
+tissue factor factor 7A Thrombin generation يتم
+
+468
+00:42:31,330 --> 00:42:39,490
+تنشيطه من خلال الـ Extrinsic pathway و بذكركم ان
+
+469
+00:42:39,490 --> 00:42:46,150
+ال Extrinsic is very short يعني لتنشيطه بسرعة طبعا
+
+470
+00:42:46,150 --> 00:42:50,330
+complex activate factor 9 و factor 10 و تشوف
+
+471
+00:42:54,770 --> 00:43:00,010
+in multiple places ماشي يعني موجود في أماق مختلفة
+
+472
+00:43:00,010 --> 00:43:04,330
+من الجسم في ال endothelial cells في ال monocytes و
+
+473
+00:43:04,330 --> 00:43:07,410
+extravascularly موجود في ال lung و ال kidney و ال
+
+474
+00:43:07,410 --> 00:43:10,230
+brain و ال endothelial cell ال epithelial cell
+
+475
+00:43:10,230 --> 00:43:15,870
+ماشي هذه مواقع حساسة و ال uterus مواقع حساسة
+
+476
+00:43:15,870 --> 00:43:20,730
+مليانة بالاش من ال tissue factor يبقى نمرا واحد
+
+477
+00:43:20,730 --> 00:43:23,590
+activation of blood coagulation through tissue
+
+478
+00:43:23,590 --> 00:43:27,430
+factor release اللي بيكون extra vascular و بتقوم
+
+479
+00:43:27,430 --> 00:43:30,890
+يصلل ال vascular يعني بيصلل الدم و هناك بيكوّنش
+
+480
+00:43:30,890 --> 00:43:36,690
+thrombin formation و fibrin formation نمرا اتنين
+
+481
+00:43:36,690 --> 00:43:40,050
+عشان بقى بيصير فيه suppression لل anticoagulant
+
+482
+00:43:40,050 --> 00:43:46,690
+pathway و بيتمثل ب reduction of antithrombin 3
+
+483
+00:43:49,380 --> 00:43:52,540
+كمان بيصير فيه impairment ل protein C و protein S
+
+484
+00:43:52,540 --> 00:43:57,880
+و هدولة كلنا بنعرفهم صح؟ و برضه مش تلك
+
+485
+00:43:57,880 --> 00:44:02,620
+anticoagulant طبعا، ثم بيصير فيه insufficient of
+
+486
+00:44:02,620 --> 00:44:04,640
+regulation of tissue factor pathway inhibitor
+
+487
+00:44:04,640 --> 00:44:12,420
+وبالتالي بيصير فيه inhibition لالـ TFPI يعني،
+
+488
+00:44:12,420 --> 00:44:12,840
+عارفين؟
+
+489
+00:44:15,550 --> 00:44:19,450
+التانية Impaired Fibrinolysis، مين بيعمل
+
+490
+00:44:19,450 --> 00:44:27,250
+Fibrinolysis؟ Plasminogen activator بيعمل
+
+491
+00:44:27,250 --> 00:44:32,730
+Fibrinolysis طيب لو نشطنا ال inhibitor بتاع ال
+
+492
+00:44:32,730 --> 00:44:36,830
+activator، شو بنعمل؟ 100%، 100%، هذا اللي بيصير،
+
+493
+00:44:36,830 --> 00:44:40,970
+Impaired Fibrinolysis Cytokine release شباب برضه
+
+494
+00:44:40,970 --> 00:44:45,750
+ميكانيزم رابع نجوا انه في حالات ال DIC بيصير فيه
+
+495
+00:44:45,750 --> 00:44:50,410
+secretion ل certain cytokines منها ال IL-6 و IL-1
+
+496
+00:44:50,410 --> 00:44:57,430
+و tumor necrosis factor و هذا بيعمل dysregulation
+
+497
+00:44:57,430 --> 00:45:03,150
+لل anticoagulant pathway و ي modulate IL-6 IL-10
+
+498
+00:45:03,150 --> 00:45:07,610
+كمان modulated activation coagulation factor أو
+
+499
+00:45:07,610 --> 00:45:10,630
+coagulation cascade وبالتالي فى علاقة مباشرة جدا
+
+500
+00:45:10,630 --> 00:45:14,310
+ما بين ال coagulation والinflammation أو ال 
+
+501
+00:45:14,310 --> 00:45:20,950
+inflammatory process طيب كيف نشخص مريض سرير عنده 
+
+502
+00:45:20,950 --> 00:45:26,450
+DIC مريض سرير عنده DIC the brothers of disease
+
+503
+00:45:26,450 --> 00:45:34,530
+associated with DIC ده نشوف إن الاطلاع على مظاهر
+
+504
+00:45:34,530 --> 00:45:41,000
+مرضية بتكون موجودة appropriate clinical setting
+
+505
+00:45:41,000 --> 00:45:46,040
+لنُشوف إذا كان في أي evidence of thrombosis أو
+
+506
+00:45:46,040 --> 00:45:50,280
+hemorrhage لإنه مرض من هالنوع يبدأ سالب بجلطة
+
+507
+00:45:50,280 --> 00:45:55,960
+وينتهي فيه بـ bleeding laboratory studies no single
+
+508
+00:45:55,960 --> 00:46:00,020
+test is accurate serial tests are more helpful
+
+509
+00:46:00,020 --> 00:46:06,140
+than single test يجب أن تعمل مجموعة من الفحوصات ومن
+
+510
+00:46:06,140 --> 00:46:11,440
+أسبابه يا شباب شوفوا أسبابه إيش مالك نانسي release
+
+511
+00:46:11,440 --> 00:46:16,380
+of tissue factor cardiovascular hypothermia or
+
+512
+00:46:16,380 --> 00:46:19,760
+hyperthermia الناس اللي متعرضة لدرجة حرارة واطية
+
+513
+00:46:19,760 --> 00:46:24,300
+أو عالية المنري acute respiratory distress
+
+514
+00:46:24,300 --> 00:46:30,780
+syndrome أسدوسيز وانكسيا collagen vascular disease
+
+515
+00:46:30,780 --> 00:46:32,260
+وانفلاك
+
+516
+00:46:39,800 --> 00:46:43,720
+كمان من الأسباب اللي بتؤدي إلى DIC infectious
+
+517
+00:46:43,720 --> 00:46:47,180
+agent زي الـSepticemia سواء كان بكتيريا أو الفيلر
+
+518
+00:46:47,180 --> 00:46:52,400
+أو الفنجر ثم Intravascular Hemolysis لإنه بيطلع
+
+519
+00:46:52,400 --> 00:47:00,940
+تشوفاكتر ثم acute liver disease وتشوفاكتر و
+
+520
+00:47:00,940 --> 00:47:05,540
+Obstetric من المحطات المهمة جدا يا شباب هي محطة
+
+521
+00:47:05,540 --> 00:47:11,140
+الولادة لإنه في الولادة بإمكانية إنه يصير فيه
+
+522
+00:47:11,140 --> 00:47:19,320
+tissue factor release عالية جدا جدا جدا طبعا سيُبقى
+
+523
+00:47:19,320 --> 00:47:26,080
+بهذه الـ symptoms المختلفة الجسم بالإنسان يعاني من
+
+524
+00:47:26,080 --> 00:47:29,500
+different symptoms ممكن نشوفها في الـ skin في الـ
+
+525
+00:47:29,500 --> 00:47:33,380
+central nervous system في الـ kidney في الـ heart في
+
+526
+00:47:33,380 --> 00:47:40,020
+الـ pulmonary في كل الحالات المرضية طبعا محصلتها في
+
+527
+00:47:40,020 --> 00:47:45,880
+البداية الـ chemistry لإنه فيه thrombosis ثم فيه
+
+528
+00:47:45,880 --> 00:47:51,280
+bleeding عشان فعلي سبيل المثال الـ skin أول شيء
+
+529
+00:47:51,280 --> 00:47:56,900
+بيصير فيها peritrophalminas وجانجرين لإنه فيه
+
+530
+00:47:56,900 --> 00:48:03,140
+جلطة ثم بعد ذلك بنشوف في بتاشي وecchymosis لإنه 
+
+531
+00:48:03,140 --> 00:48:08,250
+صار فيه bleeding فاهمين عليها؟ فمريض الـ DIC بيمر في
+
+532
+00:48:08,250 --> 00:48:14,250
+عدة مراحل حسب المرحلة بيصير فيه symptoms وعندنا
+
+533
+00:48:14,250 --> 00:48:20,610
+حسب المرحلة بتشوف نتيجة فحص لإن في كل مرحلة في فحص
+
+534
+00:48:20,610 --> 00:48:27,310
+مختلف في نتيجة مختلفة وحسب المرحلة بيتعالج ماشي؟
+
+535
+00:48:27,310 --> 00:48:30,410
+يعني مريض مثلا قاعد بيعمل جلطة منه بيقول أنت ..
+
+536
+00:48:30,410 --> 00:48:33,550
+أنت .. كواجل لكن مريض خاش في bleeding
+
+537
+00:48:37,810 --> 00:48:44,090
+بالتالي حسب المرحلة بتتأثر تطلع نتيجة الفحص وإيش
+
+538
+00:48:44,090 --> 00:48:51,410
+وأول شيء الـ symptoms ثم نتيجة الفحص ثم العلاج و
+
+539
+00:48:51,410 --> 00:48:54,750
+هذه مظاهر مرضية شايفين الصور؟ برنامج دي بصور لاحقش
+
+540
+00:48:54,750 --> 00:48:58,950
+أنا في bleeding وبتاشي بتاشي واكيموزة شايفين
+
+541
+00:48:58,950 --> 00:49:03,740
+بتاشي واكيموزة؟ هذه مرحلة متقدمة هي gangrenous
+
+542
+00:49:03,740 --> 00:49:10,640
+شايفين إن صار في microvessels from pie وبالتالي
+
+543
+00:49:10,640 --> 00:49:17,780
+أدت إلى إن بيصير فيه عنده gangrenous طبعا
+
+544
+00:49:17,780 --> 00:49:21,920
+كمان من الحاجات اللي بيصير إن الـ blood film لو
+
+545
+00:49:21,920 --> 00:49:24,820
+عملت blood film يا شباب بتلاقي microscopic finding
+
+546
+00:49:24,820 --> 00:49:26,560
+schistocytes
+
+547
+00:49:29,720 --> 00:49:33,060
+fragments، شيستيو سايز، pausty أو platelet، إيش
+
+548
+00:49:33,060 --> 00:49:41,440
+يعني pausty؟ قلة في الـ platelet، وفي حاجات قولنا
+
+549
+00:49:41,440 --> 00:49:45,170
+إن single test is not enough منها D-Diamar,
+
+550
+00:49:45,290 --> 00:49:49,870
+Antithrombin 3, Fibrin monoxide A وB, FTB,
+
+551
+00:49:50,030 --> 00:49:53,570
+Platelet count, Protamine test، كل عبارة عن فحوصات
+
+552
+00:49:53,570 --> 00:50:05,490
+مختلفة بتطلب وبالتالي بتشخص حسب نتيجة الفحوصة،
+
+553
+00:50:05,490 --> 00:50:10,310
+بنعرف في أي مرحلة المريض وصل، في أي مرحلة المريض
+
+554
+00:50:10,310 --> 00:50:16,790
+وصل، ممكن يحصل عنده thrombocytopenia ممكن يحصل فيه
+
+555
+00:50:16,790 --> 00:50:20,650
+prolongation في الـ BT وBTT طبعا هو كله استهلك
+
+556
+00:50:20,650 --> 00:50:27,630
+مظبوط ممكن نشوف FDB أو D-Diamond نشوف low level of
+
+557
+00:50:27,630 --> 00:50:31,030
+anticoagulant زي الـ Antithrombin 3 أو البروتين C
+
+558
+00:50:31,030 --> 00:50:35,970
+ولو فحصنا العوامل المختلفة خمسة أو ثمانية أو تسعة
+
+559
+00:50:35,970 --> 00:50:42,040
+كلها ملاجئة واطية والـ Fibrinogen الوحيد اللي هي لا
+
+560
+00:50:42,040 --> 00:50:46,300
+يفيد في التشخيص لأن كميته كبيرة واستهلاكه بيطول
+
+561
+00:50:46,300 --> 00:50:49,540
+وبالتالي
+
+562
+00:50:49,540 --> 00:50:55,460
+مفيدش في التشخيص differential dialysis ضروري جدا
+
+563
+00:50:55,460 --> 00:51:00,240
+عشان تشخص DIC تتفرج بين الـ DIC والمرض الأهلي زي
+
+564
+00:51:00,240 --> 00:51:05,060
+الـ severe liver failure شو الصفة المشتركة بينه وبين
+
+565
+00:51:05,060 --> 00:51:06,100
+بين الـ DIC؟
+
+566
+00:51:09,640 --> 00:51:13,380
+بالظبط الـ liver اللي بيصنع coagulation في الـ liver
+
+567
+00:51:13,380 --> 00:51:15,640
+الفيزيال يعني مافيش coagulation factors مافيش
+
+568
+00:51:15,640 --> 00:51:20,680
+coagulation وقالت من K deficiency تدينا نفس الصورة
+
+569
+00:51:20,680 --> 00:51:27,040
+liver disease TTP واللي بيصير فيها جلطات متكررة
+
+570
+00:51:27,040 --> 00:51:32,080
+ثم congenital abnormalities of fibrin and help
+
+571
+00:51:32,080 --> 00:51:37,290
+syndrome اللي هو hereditary elevated liver test
+
+572
+00:51:37,290 --> 00:51:43,690
+with low platelet help اختصارنا إيه يا شباب
+
+573
+00:51:43,690 --> 00:51:48,770
+hereditary elevation
+
+574
+00:51:48,770 --> 00:51:58,130
+of liver test with
+
+575
+00:51:58,130 --> 00:52:03,630
+low platelet علاج
+
+576
+00:52:03,630 --> 00:52:04,150
+طبعا
+
+577
+00:52:06,870 --> 00:52:10,930
+أول شيء stop the triggering factor طبعا الـ
+
+578
+00:52:10,930 --> 00:52:14,870
+triggering factor بدك توقفه في كثير من الأحيان
+
+579
+00:52:14,870 --> 00:52:21,730
+عملية التوقيف تكون صعبة ما لم تكن أقوى the only
+
+580
+00:52:21,730 --> 00:52:26,610
+proof in the treatment أنك توقف مين تسبب الـ VIC
+
+581
+00:52:26,610 --> 00:52:31,950
+بعدين تدي support in the treatment طبعا support in
+
+582
+00:52:31,950 --> 00:52:32,450
+the treatment
+
+583
+00:52:38,010 --> 00:52:43,530
+ليش؟ في بداية المرحلة؟ في البداية اه في بداية اللي
+
+584
+00:52:43,530 --> 00:52:46,950
+داكه اه ممكن الـ non specific treatment is
+
+585
+00:52:46,950 --> 00:52:51,230
+available حسب المرحلة اللي أنا بقوله ممكن تعطي
+
+586
+00:52:51,230 --> 00:52:55,890
+plasma و platelet substitution ممكن تعطي
+
+587
+00:52:55,890 --> 00:53:00,050
+anticoagulant إذا كان في البداية ممكن تعطي
+
+588
+00:53:00,050 --> 00:53:06,110
+inhibitors إذا كان في البداية وكذا طبعا هذه الـ
+
+589
+00:53:06,110 --> 00:53:15,130
+plasma therapy نديها وقتيش إذا في bleeding ماشي
+
+590
+00:53:15,130 --> 00:53:19,710
+fresh frozen plasma برضه بتعطى في حالات نقص بعض
+
+591
+00:53:19,710 --> 00:53:24,010
+العوامل platelet therapy إذا الـ platelet كانت واطية
+
+592
+00:53:24,010 --> 00:53:29,990
+ماشي وblood إذا صار عند المريض أنيميا or disease
+
+593
+00:53:29,990 --> 00:53:34,840
+destruction Coagulation Inhibitors، Antithrombin 3
+
+594
+00:53:34,840 --> 00:53:37,240
+و Protein C و Tissue Factor Pathway Inhibitor و
+
+595
+00:53:37,240 --> 00:53:43,080
+Heparin طبعا لإنه بيستهلكوا كمان بيعطوه وهذا
+
+596
+00:53:43,080 --> 00:53:48,180
+العلاج أنا مش راح أخد فيه بالتفصيل Anti
+
+597
+00:53:48,180 --> 00:53:55,880
+Fibrinolytic زي ما قال برضه بتعطى في دي دايات الحد
+
+598
+00:53:55,880 --> 00:53:59,200
+اللي مش عارف الشغل، طيب no question يعني؟ 
diff --git a/PL9fwy3NUQKwZk82_1AeatKVgXG0nDxlHE/cYsH46grQoA_raw.json b/PL9fwy3NUQKwZk82_1AeatKVgXG0nDxlHE/cYsH46grQoA_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..d9c333de289f06277d68ff31d3401d1322805b95
--- /dev/null
+++ b/PL9fwy3NUQKwZk82_1AeatKVgXG0nDxlHE/cYsH46grQoA_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 4788, "start": 20.84, "end": 47.88, "text": "بسم الله الرحمن الرحيم اليوم ان شاء الله هنكمل في ال hereditary bleeding disorders و هنحكي في ال vom libra disease و هنتطرق لل vom libra disease من عدة زوايا بداية هنمسك ال factor و هو vom libra factor من ناحية ال structure و location و function ثم هنمسك ال disease", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 45595, 20498, 16472, 13412, 16606, 21984, 8032, 1863, 24793, 1211, 8978, 2423, 720, 292, 4109, 19312, 20261, 4032, 8032, 1863, 5016, 4117, 1829, 8978, 2423, 10135, 375, 6198, 4752, 4032, 8032, 29399, 9566, 2288, 4587, 24976, 10135, 375, 6198, 4752, 9154, 6225, 41891, 30767, 14407, 25528, 4724, 28259, 10632, 8032, 1863, 2304, 3794, 4117, 2423, 5952, 4032, 31439, 10135, 375, 6198, 5952, 9154, 8717, 39319, 10632, 2423, 3877, 4032, 4914, 4032, 2445, 38637, 2304, 8032, 1863, 2304, 3794, 4117, 2423, 4752], "avg_logprob": -0.25480770475261816, "compression_ratio": 1.7751196172248804, 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"word": " BTT", "probability": 0.87548828125}, {"start": 1314.76, "end": 1315.28, "word": " بينما", "probability": 0.896728515625}, {"start": 1315.28, "end": 1315.44, "word": " ال", "probability": 0.9716796875}, {"start": 1315.44, "end": 1315.84, "word": " Bt", "probability": 0.449462890625}, {"start": 1315.84, "end": 1316.74, "word": " بيكون", "probability": 0.7556966145833334}, {"start": 1316.74, "end": 1317.3, "word": " normal", "probability": 0.6201171875}, {"start": 1317.3, "end": 1319.22, "word": " طبعا", "probability": 0.8670654296875}, {"start": 1319.22, "end": 1319.62, "word": " الشباب", "probability": 0.9259440104166666}, {"start": 1319.62, "end": 1320.2, "word": " مهم", "probability": 0.9755859375}, {"start": 1320.2, "end": 1320.64, "word": " جدا", "probability": 0.99560546875}, {"start": 1320.64, "end": 1321.02, "word": " ان", "probability": 0.59130859375}, {"start": 1321.02, "end": 1321.18, "word": " في", "probability": 0.52880859375}, {"start": 1321.18, "end": 1321.54, "word": " كثير", "probability": 0.9490559895833334}, {"start": 1321.54, "end": 1321.66, "word": " من", "probability": 0.98046875}, {"start": 1321.66, "end": 1322.2, "word": " الأحيان", "probability": 0.9647216796875}, {"start": 1322.2, "end": 1323.7, "word": " بيطلعلك", "probability": 0.7822265625}, {"start": 1323.7, "end": 1324.84, "word": " BTT", "probability": 0.901123046875}, {"start": 1324.84, "end": 1325.68, "word": " normal", "probability": 0.787109375}, {"start": 1325.68, "end": 1326.02, "word": " ان", "probability": 0.298095703125}, {"start": 1326.02, "end": 1326.3, "word": " بعض", "probability": 0.981201171875}, {"start": 1326.3, "end": 1326.86, "word": " المرضى", "probability": 0.98681640625}, {"start": 1326.86, "end": 1327.78, "word": " لكن", "probability": 0.9296875}, {"start": 1327.78, "end": 1328.16, "word": " هذا", "probability": 0.916015625}, {"start": 1328.16, "end": 1328.54, "word": " لا", "probability": 0.955078125}, {"start": 1328.54, "end": 1329.88, "word": " يستثني", "probability": 0.9525146484375}, {"start": 1329.88, "end": 1330.76, "word": " ال", "probability": 0.6796875}, {"start": 1330.76, "end": 1330.96, "word": " bowel", "probability": 0.034576416015625}, {"start": 1330.96, "end": 1331.4, "word": " membrane", "probability": 0.47998046875}, {"start": 1331.4, "end": 1332.72, "word": " disease", "probability": 0.93115234375}, {"start": 1332.72, "end": 1333.66, "word": " ليش؟", "probability": 0.9052734375}], "temperature": 1.0}, {"id": 49, "seek": 135984, "start": 1334.54, "end": 1359.84, "text": "لأن قلنا عن بعض الأمراض اللي بيكون ال factor فيها normal تقريبا زي type I type I اياش تقريبا ما بيعاني المريض من أي حاجة و ال vomliebrand factor functioning normally وبالتالي لا يستثني تشخيص من ال vomliebrand factor طب ال .. في بعض الأحيان", "tokens": [1211, 33456, 12174, 1211, 8315, 18871, 45030, 11242, 16247, 29973, 46958, 13672, 1829, 4724, 1829, 30544, 2423, 5952, 8978, 11296, 2710, 6055, 4587, 16572, 3555, 995, 30767, 1829, 2010, 286, 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"probability": 0.48681640625}, {"start": 1358.72, "end": 1359.08, "word": " في", "probability": 0.8603515625}, {"start": 1359.08, "end": 1359.34, "word": " بعض", "probability": 0.99365234375}, {"start": 1359.34, "end": 1359.84, "word": " الأحيان", "probability": 0.980224609375}], "temperature": 1.0}, {"id": 50, "seek": 138294, "start": 1360.82, "end": 1382.94, "text": "both tests are prolonged في هذا الحالة يا شباب ده تستدنى شبوعين ثم تعيد الفحص مرة تانية علشان ايش؟ علشان تتحقق من هذه النتيجة إذا كان شاكك في ال disease ماشي إذا فحصين طلقة prolonged", "tokens": [18151, 6921, 366, 41237, 8978, 23758, 21542, 6027, 3660, 35186, 13412, 3555, 16758, 11778, 3224, 6055, 14851, 3215, 1863, 7578, 13412, 3555, 45367, 9957, 38637, 2304, 37279, 25708, 27188, 5016, 9381, 3714, 25720, 6055, 7649, 10632, 11203, 8592, 7649, 1975, 1829, 8592, 22807, 11203, 8592, 7649, 6055, 2655, 5016, 4587, 4587, 9154, 29538, 2423, 29399, 1829, 7435, 3660, 11933, 15730, 25961, 13412, 995, 4117, 4117, 8978, 2423, 4752, 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"word": " ده", "probability": 0.5252685546875}, {"start": 1367.7, "end": 1368.16, "word": " تستدنى", "probability": 0.7686279296875}, {"start": 1368.16, "end": 1368.64, "word": " شبوعين", "probability": 0.76898193359375}, {"start": 1368.64, "end": 1368.86, "word": " ثم", "probability": 0.976318359375}, {"start": 1368.86, "end": 1369.16, "word": " تعيد", "probability": 0.86669921875}, {"start": 1369.16, "end": 1369.52, "word": " الفحص", "probability": 0.9503580729166666}, {"start": 1369.52, "end": 1369.7, "word": " مرة", "probability": 0.944091796875}, {"start": 1369.7, "end": 1370.48, "word": " تانية", "probability": 0.9254557291666666}, {"start": 1370.48, "end": 1371.1, "word": " علشان", "probability": 0.9601236979166666}, {"start": 1371.1, "end": 1371.98, "word": " ايش؟", "probability": 0.723876953125}, {"start": 1371.98, "end": 1372.7, "word": " علشان", "probability": 0.97509765625}, {"start": 1372.7, "end": 1373.62, "word": " تتحقق", "probability": 0.9943359375}, {"start": 1373.62, 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"word": " الابرهن", "probability": 0.98310546875}, {"start": 2128.68, "end": 2128.9, "word": " طب", "probability": 0.857177734375}, {"start": 2128.9, "end": 2129.32, "word": " الأولى", "probability": 0.8486328125}, {"start": 2129.32, "end": 2129.52, "word": " أنه", "probability": 0.6348876953125}, {"start": 2129.52, "end": 2129.86, "word": " نعالج", "probability": 0.9547119140625}, {"start": 2129.86, "end": 2130.2, "word": " مريض", "probability": 0.9208984375}, {"start": 2130.2, "end": 2130.5, "word": " الفوم", "probability": 0.8828125}, {"start": 2130.5, "end": 2130.92, "word": " الابرهن", "probability": 0.97763671875}, {"start": 2130.92, "end": 2131.08, "word": " يا", "probability": 0.24755859375}, {"start": 2131.08, "end": 2131.38, "word": " بابا،", "probability": 0.53033447265625}, {"start": 2131.38, "end": 2131.9, "word": " مجبوط؟", "probability": 0.7845458984375}], "temperature": 1.0}, {"id": 78, "seek": 216071, "start": 2132.96, "end": 2160.72, "text": "فبالتالي هو علاج لل Vomit Bread Cryoprecipitate هو بره ان احد ال blood component بيحتوي على كمية كبيرة من ال Vomit Bread فاكتور تمانية concentrate برضه احد ال plasma component اللى بيحضر التحضير بالمصانع و بيحتوي ايضا على كمية كبيرة من ايش؟ من ال Vomit Bread", "tokens": [5172, 3555, 6027, 2655, 6027, 1829, 31439, 11203, 26108, 24976, 691, 298, 270, 35357, 12267, 404, 3326, 20144, 473, 31439, 4724, 2288, 3224, 16472, 1975, 24401, 2423, 3390, 6542, 4724, 1829, 33753, 45865, 15844, 9122, 2304, 10632, 9122, 3555, 48923, 9154, 2423, 691, 298, 270, 35357, 6156, 995, 4117, 2655, 13063, 46811, 7649, 10632, 18089, 4724, 43042, 3224, 1975, 24401, 2423, 22564, 6542, 13672, 7578, 4724, 1829, 5016, 11242, 2288, 16712, 5016, 11242, 13546, 20666, 2304, 9381, 7649, 3615, 4032, 4724, 1829, 33753, 45865, 1975, 1829, 11242, 995, 15844, 9122, 2304, 10632, 9122, 3555, 48923, 9154, 1975, 1829, 8592, 22807, 9154, 2423, 691, 298, 270, 35357], "avg_logprob": -0.29249416612019047, "compression_ratio": 1.8293838862559242, 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{"start": 2155.2, "end": 2157.74, "word": " بيحتوي", "probability": 0.882080078125}, {"start": 2157.74, "end": 2158.2, "word": " ايضا", "probability": 0.9151611328125}, {"start": 2158.2, "end": 2158.44, "word": " على", "probability": 0.82763671875}, {"start": 2158.44, "end": 2158.78, "word": " كمية", "probability": 0.9973958333333334}, {"start": 2158.78, "end": 2159.16, "word": " كبيرة", "probability": 0.9851888020833334}, {"start": 2159.16, "end": 2159.38, "word": " من", "probability": 0.90625}, {"start": 2159.38, "end": 2159.84, "word": " ايش؟", "probability": 0.7138671875}, {"start": 2159.84, "end": 2160.06, "word": " من", "probability": 0.9150390625}, {"start": 2160.06, "end": 2160.2, "word": " ال", "probability": 0.7587890625}, {"start": 2160.2, "end": 2160.54, "word": " Vomit", "probability": 0.9197591145833334}, {"start": 2160.54, "end": 2160.72, "word": " Bread", "probability": 0.92041015625}], "temperature": 1.0}, {"id": 79, "seek": 218885, "start": 2162.55, "end": 2188.85, "text": "طبعا شباب هذا ال treatment اول صفحتين و التالتين هذا و هذا يعني كيفية العلاج و ال protocol العلاج و كدهش لازم نعطي يعني مش كتير احنا معانين فيه هنا بقى كمان من ال treatment هدا هي ال platelet transfusion انك تعطي platelet", "tokens": [9566, 3555, 3615, 995, 13412, 3555, 16758, 23758, 2423, 5032, 1975, 12610, 20328, 5172, 33753, 9957, 4032, 16712, 6027, 2655, 9957, 23758, 4032, 23758, 37495, 22653, 9122, 33911, 10632, 18863, 1211, 26108, 4032, 2423, 10336, 18863, 1211, 26108, 4032, 9122, 3215, 3224, 8592, 5296, 31377, 2304, 8717, 3615, 9566, 1829, 37495, 22653, 37893, 9122, 2655, 13546, 1975, 5016, 8315, 20449, 7649, 9957, 8978, 3224, 34105, 4724, 4587, 7578, 9122, 2304, 7649, 9154, 2423, 5032, 8032, 28259, 39896, 2423, 3403, 15966, 22666, 5704, 16472, 4117, 37279, 9566, 1829, 3403, 15966], "avg_logprob": -0.21631944444444445, "compression_ratio": 1.7263681592039801, "no_speech_prob": 0.0, "words": [{"start": 2162.55, "end": 2162.83, "word": "طبعا", "probability": 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"probability": 0.8828125}, {"start": 2186.59, "end": 2186.77, "word": " ال", "probability": 0.849609375}, {"start": 2186.77, "end": 2187.17, "word": " platelet", "probability": 0.748291015625}, {"start": 2187.17, "end": 2187.85, "word": " transfusion", "probability": 0.9736328125}, {"start": 2187.85, "end": 2188.09, "word": " انك", "probability": 0.84765625}, {"start": 2188.09, "end": 2188.35, "word": " تعطي", "probability": 0.8424479166666666}, {"start": 2188.35, "end": 2188.85, "word": " platelet", "probability": 0.805908203125}], "temperature": 1.0}, {"id": 80, "seek": 221837, "start": 2189.73, "end": 2218.37, "text": "مظبوط واحد عنده كمية ال vom lipaland قليلة طب زود ال platelet ماشي عشان ايه؟ عشان يتزود اللي هو ال vom lipaland لإنه كمان ال platelet تحتوي على vom lipaland طب ما cryoprecipitate قلنا عبارة عن هو جزء من ال human plasma بيحتوي على كمية كبيرة من ال factor 8 و vom lipaland و ال fresh frozen plasma أيضا", "tokens": [2304, 19913, 3555, 2407, 9566, 36764, 24401, 43242, 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"probability": 0.92529296875}, {"start": 3217.12, "end": 3217.24, "word": " و", "probability": 0.89306640625}, {"start": 3217.24, "end": 3217.74, "word": " Heparin", "probability": 0.743896484375}, {"start": 3217.74, "end": 3218.88, "word": " طبعا", "probability": 0.923583984375}, {"start": 3218.88, "end": 3219.2, "word": " لأنه", "probability": 0.67578125}, {"start": 3219.2, "end": 3220.24, "word": " بيستهلكوا", "probability": 0.9600423177083334}, {"start": 3220.24, "end": 3221.3, "word": " كمان", "probability": 0.7078450520833334}, {"start": 3221.3, "end": 3222.32, "word": " بيعطوه", "probability": 0.7319742838541666}, {"start": 3222.32, "end": 3222.94, "word": " و", "probability": 0.6162109375}, {"start": 3222.94, "end": 3223.08, "word": " هذا", "probability": 0.459228515625}, {"start": 3223.08, "end": 3223.48, "word": " العلاج", "probability": 0.95849609375}, {"start": 3223.48, "end": 3223.64, "word": " أنا", "probability": 0.72802734375}, {"start": 3223.64, "end": 3223.82, "word": " مش", "probability": 0.9765625}, {"start": 3223.82, "end": 3224.0, "word": " راح", "probability": 0.9169921875}, {"start": 3224.0, "end": 3224.56, "word": " أخد", "probability": 0.7980143229166666}, {"start": 3224.56, "end": 3224.78, "word": " فيه", "probability": 0.95947265625}, {"start": 3224.78, "end": 3225.5, "word": " بالتفصيل", "probability": 0.92646484375}, {"start": 3225.5, "end": 3228.18, "word": " Anti", "probability": 0.5224609375}, {"start": 3228.18, "end": 3228.84, "word": " Fibrillatic", "probability": 0.431182861328125}, {"start": 3228.84, "end": 3229.08, "word": " زي", "probability": 0.86767578125}, {"start": 3229.08, "end": 3229.2, "word": " ما", "probability": 0.966796875}, {"start": 3229.2, "end": 3229.52, "word": " قال", "probability": 0.77685546875}, {"start": 3229.52, "end": 3230.7, "word": " برضه", "probability": 0.8684895833333334}, {"start": 3230.7, "end": 3231.5, "word": " بتنعطى", "probability": 0.89912109375}, {"start": 3231.5, "end": 3232.22, "word": " 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwZk82_1AeatKVgXG0nDxlHE/yGBR5WvaSIM.srt b/PL9fwy3NUQKwZk82_1AeatKVgXG0nDxlHE/yGBR5WvaSIM.srt
new file mode 100644
index 0000000000000000000000000000000000000000..fdf1a3df6eb00e5244754ab08d896a4fbc2a1861
--- /dev/null
+++ b/PL9fwy3NUQKwZk82_1AeatKVgXG0nDxlHE/yGBR5WvaSIM.srt
@@ -0,0 +1,2071 @@
+1
+00:00:21,070 --> 00:00:26,050
+بسم الله الرحمن الرحيم اليوم إن شاء الله هنحكي
+
+2
+00:00:26,050 --> 00:00:30,790
+في naturally occurring inhibitors بيعني
+
+3
+00:00:30,790 --> 00:00:35,010
+anticoagulant anticoagulant في الجسم موجودة بكميات
+
+4
+00:00:35,010 --> 00:00:41,290
+كبيرة موجودة بتعمل جنبًا إلى جنب مع the normal coagulant
+
+5
+00:00:41,290 --> 00:00:47,770
+وضروري جدًا وجود هذه الـ anticoagulant in
+
+6
+00:00:47,770 --> 00:00:53,720
+order to attenuate the coagulant or the coagulation
+
+7
+00:00:53,720 --> 00:00:56,640
+Cascade Mechanism بمعنى إن الـ Coagulation Cascade
+
+8
+00:00:56,640 --> 00:01:01,720
+Mechanism يظل شغال على طول هيعمل Clot Formation
+
+9
+00:01:01,720 --> 00:01:06,880
+كبيرة وبالتالي يعمل Complete Occlusion للـBlood 
+
+10
+00:01:06,880 --> 00:01:09,780
+Vessels وهذا ما احنا بدنا نشيله لأنه إذا كان صار
+
+11
+00:01:09,780 --> 00:01:13,680
+فيه Complete Occlusion بمعنى صار فيه .. صار فيه
+
+12
+00:01:13,680 --> 00:01:21,540
+Ischemia صح؟ وIschemia يعني أنهبالتالي الجسم في عنده
+
+13
+00:01:21,540 --> 00:01:28,360
+من يحارب هذا الـmechanism اللي هو الـfibrinolytic
+
+14
+00:01:28,360 --> 00:01:32,720
+system اللي هنحكي فيه لكن بالإضافة إلى ذلك في 
+
+15
+00:01:32,720 --> 00:01:35,560
+naturally occurring anticoagulant موجودة في الجسم
+
+16
+00:01:35,560 --> 00:01:43,660
+تعمل كبح لكل عمليات الـcoagulation الغير مرغوب
+
+17
+00:01:43,660 --> 00:01:46,260
+فيها قسمة
+
+18
+00:01:47,640 --> 00:01:52,260
+الـ Anticoagulant أو الـ Inhibitors إلى ثلاث
+
+19
+00:01:52,260 --> 00:01:58,080
+مجموعات أساسية ثلاث مجموعات أساسية المجموعة الأولانية
+
+20
+00:01:59,090 --> 00:02:04,470
+جالها هي عبارة عن Serine Protease Inhibitors Serine
+
+21
+00:02:04,470 --> 00:02:08,250
+Protease Inhibitors واحنا عارفين الـ Serine
+
+22
+00:02:08,250 --> 00:02:12,210
+Protease يعني Enzyme، مظبوط؟ يعني الـ Enzyme
+
+23
+00:02:12,210 --> 00:02:17,130
+Inhibitors لمين؟ للـ Coagulation Factors لبروتين C
+
+24
+00:02:17,130 --> 00:02:21,800
+ولأس؟ لأ سبب ما يعني، لسه خلينا واحدة واحدة الـ
+
+25
+00:02:21,800 --> 00:02:26,160
+Serine Protease Inhibitor جالها بتضم مجموعة أبوها
+
+26
+00:02:26,160 --> 00:02:33,040
+لها المجموعة هو الـ Antithrombin 3 وبيضم
+
+27
+00:02:33,040 --> 00:02:38,570
+بالإضافة للـ Antithrombin 3 مجموعة من الـinhibitors
+
+28
+00:02:38,570 --> 00:02:41,610
+زي الـC1-esterase inhibitor زي الـAlpha-2
+
+29
+00:02:41,610 --> 00:02:46,750
+-macroglobulin، Alpha-2-antiplasmin، Alpha-1
+
+30
+00:02:46,750 --> 00:02:49,950
+-antitrypsin، and heparin cofactor 2 يبدأ في
+
+31
+00:02:49,950 --> 00:02:56,090
+مجموعة كبيرة بتندرج تحت مين؟ تحت هذه العائلة وهي
+
+32
+00:02:56,090 --> 00:03:00,010
+Serine Protease Inhibitors، يعني الـEnzymatic
+
+33
+00:03:00,010 --> 00:03:05,310
+Inhibitors، ماشي؟ مجموعة التانية هي عبارة عن
+
+34
+00:03:05,310 --> 00:03:09,810
+cofactor inhibitors بطلنا نحكي على coagulation
+
+35
+00:03:09,810 --> 00:03:13,850
+factor بطلنا نحكي على coagulation cofactor الـ
+
+36
+00:03:13,850 --> 00:03:17,570
+cofactor احنا عارفين هم في الـ coagulation case كده
+
+37
+00:03:17,570 --> 00:03:22,510
+كم هم عدد الـ cofactor
+
+38
+00:03:22,510 --> 00:03:30,090
+هم اثنان الـ cofactor بشكل أساسي الـ cofactor هم
+
+39
+00:03:30,090 --> 00:03:35,950
+factor خمسة و factor ثمانية هؤلاء هم كو فاكتور و
+
+40
+00:03:35,950 --> 00:03:42,270
+فاكتور يعني ثمانية كلاهما يشكلان complex واحد
+
+41
+00:03:42,270 --> 00:03:46,910
+ثنائي واحد بروثرومبينيز واحنا نعرف إن إذا كان
+
+42
+00:03:46,910 --> 00:03:50,850
+الثنائي وبروثرومبينيز لم يتكونوا مش فشكوا اجلاشي
+
+43
+00:03:50,850 --> 00:03:54,750
+صح؟ فبالتالي احنا بنعمل inhibition للـcomplex
+
+44
+00:03:54,750 --> 00:04:01,350
+بطريقة غير مباشرة من خلال الـinhibition of the
+
+45
+00:04:01,350 --> 00:04:04,780
+cofactor coagulation and cofactor هم خمسة وثمانية
+
+46
+00:04:04,780 --> 00:04:11,860
+نشاطين وهذه عبارة عن عائلة تضم مجموعة كبيرة
+
+47
+00:04:11,860 --> 00:04:17,460
+يسمونها protein-c system protein-c system وهي تضم
+
+48
+00:04:17,460 --> 00:04:24,380
+protein-c و protein-s ثم الـ thrombomodulin والـ
+
+49
+00:04:24,380 --> 00:04:29,020
+cofactors اللي برتبط معاهم ماشي؟ والـ cofactor
+
+50
+00:04:29,020 --> 00:04:33,540
+اللي برتبط معاهم يبقى هيفرها مجموعة كبيرة تعمل
+
+51
+00:04:33,540 --> 00:04:38,580
+inhibition للـ activated form of cofactor 5 and
+
+52
+00:04:38,580 --> 00:04:45,010
+cofactor 8 النشاطين المجموعة الثالثة وهي tissue
+
+53
+00:04:45,010 --> 00:04:48,190
+factor pathway inhibitor وهي مجموعة مفصلة لحالها
+
+54
+00:04:48,190 --> 00:04:51,570
+وشوفنا دور الـ tissue factor مرة فاترة tissue
+
+55
+00:04:51,570 --> 00:04:54,770
+factor pathway inhibitor وحنتعرف على الـ mechanism
+
+56
+00:04:54,770 --> 00:05:01,150
+هو بيعمل inhibition لمين؟ للـ tissue factor سبعة
+
+57
+00:05:01,150 --> 00:05:06,410
+إيه؟ complex و factor عشرة و factor عشرة النشاط
+
+58
+00:05:06,800 --> 00:05:11,420
+بتبقى معايا أنت؟ تسعة بقى؟ لأ تسعة مش بيخش ..
+
+59
+00:05:11,420 --> 00:05:14,240
+بيصير وش نمشي من .. بيصير وش نمشي من .. بيصير وش
+
+60
+00:05:14,240 --> 00:05:14,300
+نمشي من .. بيصير وش نمشي من .. بيصير وش نمشي من ..
+
+61
+00:05:14,300 --> 00:05:14,680
+بيصير وش نمشي من .. بيصير وش نمشي من .. بيصير وش
+
+62
+00:05:14,680 --> 00:05:16,680
+بيصير وش نمشي من .. بيصير وش نمشي من .. بيصير وش
+
+63
+00:05:16,680 --> 00:05:21,540
+نمشي من .. بيصير
+
+64
+00:05:21,540 --> 00:05:33,800
+وش نمشي من .. بيصير وش نمشي من .. بيصير وش
+
+65
+00:05:33,800 --> 00:05:42,030
+نمشي من .. بيصبيرتبط الـ 9 و 10 أو 11 و 12 بيرتبط
+
+66
+00:05:42,030 --> 00:05:48,090
+لأنه اسمه Antithrombin بشكل أساسي بيمسك في مين؟
+
+67
+00:05:48,090 --> 00:05:50,230
+بالـ Thrombin، وThrombin من أين جاء؟
+
+68
+00:05:53,650 --> 00:05:57,970
+وهو factor اثنان لما بتنشط، بتحول إلى إيه؟ إلى
+
+69
+00:05:57,970 --> 00:06:01,350
+thrombin، فده بنمشيك الـ thrombin، سموه anti
+
+70
+00:06:01,350 --> 00:06:05,270
+-thrombin، لإنه بيمسك في كل هدول الـCerebrum، لكن
+
+71
+00:06:05,270 --> 00:06:10,120
+الـ major، الـ potentأنتي اللي براكو أجلد هو عبارة
+
+72
+00:06:10,120 --> 00:06:14,700
+عن مين؟ للثرومبين، أبوهم مين؟ للثرومبين، المرة الفاتة
+
+73
+00:06:14,700 --> 00:06:21,880
+شوفناله أكم وظيفة؟ ستة، آه ستة، ماشي؟ وفي وظيفة
+
+74
+00:06:21,880 --> 00:06:26,240
+سابعة كمان حنقدر نكلم فيها، ماشي يا شباب؟ في الجهة
+
+75
+00:06:26,240 --> 00:06:31,860
+الانتيترومبين موجود مرتبط بالإضافة إلى أنّ برتبط
+
+76
+00:06:31,860 --> 00:06:35,560
+التسعة وعشرة وأحد عشر وإثنا عشر لكن ببطء
+
+77
+00:06:38,700 --> 00:06:45,180
+بيحتاج إلى accelerator إلى مسرع والمسرع هو
+
+78
+00:06:45,180 --> 00:06:51,560
+الهيبارين هو الهيبارين Heparin by itself has no
+
+79
+00:06:51,560 --> 00:06:54,380
+anticoagulant effect مش هو اللي بيعمل
+
+80
+00:06:54,380 --> 00:06:58,080
+anticoagulation هو بيسرع التفاعل اللي بيعمل
+
+81
+00:06:58,080 --> 00:07:03,080
+anticoagulation هو الـ anticoagulant الـinhibitor
+
+82
+00:07:03,080 --> 00:07:07,460
+الـ inhibitor اللي برتبط فيه هو الـ antithrombin الثلاثة و
+
+83
+00:07:07,460 --> 00:07:10,820
+برتبط فيه الـ heparin cofactor 2 برضه بيسمو
+
+84
+00:07:10,820 --> 00:07:14,060
+الـ antithrombin الثلاثة الـ heparin cofactor 1 heparin
+
+85
+00:07:14,060 --> 00:07:18,260
+cofactor 1 عشان يميزوا بينه وبين heparin cofactor 2
+
+86
+00:07:18,260 --> 00:07:24,700
+ماشي يبقى بيرتبط بـ accelerator والـ accelerator هو
+
+87
+00:07:24,700 --> 00:07:28,260
+عبارة عن الهيبارين والهيبارين has no
+
+88
+00:07:28,260 --> 00:07:31,040
+anticoagulant effect وإنما الـ effect
+
+89
+00:07:34,040 --> 00:07:38,140
+من الـ inhibitor الطبيعي أو الـ anticoagulant
+
+90
+00:07:38,140 --> 00:07:46,720
+الطبيعي كيف يعمل؟ كيف يعمل؟ انتبهوا عليا اللوح
+
+91
+00:07:46,720 --> 00:07:50,260
+اللوح زي ما أنتم شايفين في عندي antithrombin
+
+92
+00:07:50,260 --> 00:07:55,400
+ثلاثة ده هو عليه two binding sites عليه إيه إيه؟
+
+93
+00:07:55,400 --> 00:08:02,590
+two binding sites واحدة ليسم ترتبط بالثانية
+
+94
+00:08:02,590 --> 00:08:05,230
+بيرتبط بالهيبارين والثانية بيرتبط بالهيبارين
+
+95
+00:08:05,230 --> 00:08:06,550
+والثانية بيرتبط بالهيبارين والثانية بيرتبط
+
+96
+00:08:06,550 --> 00:08:08,070
+بالهيبارين والثانية بيرتبط بالهيبارين والثانية
+
+97
+00:08:08,070 --> 00:08:10,210
+بيرتبط بالهيبارين والثانية بيرتبط بالهيبارين
+
+98
+00:08:10,210 --> 00:08:14,430
+والثانية بيرتبط بالهيبارين والثانية بيرتبط
+
+99
+00:08:14,430 --> 00:08:17,630
+بالهيبارين والثانية بيرتبط بالهيبارين والثانية
+
+100
+00:08:17,630 --> 00:08:17,990
+بيرتبط بالهيبارين والثانية بيرتبط بالهيبارين
+
+101
+00:08:17,990 --> 00:08:19,990
+والثانية بيرتبط بالهيبارين والثانية بيرتبط
+
+102
+00:08:19,990 --> 00:08:21,650
+بالهيبارين والثانية بيرتبط بالهيبارين والثانية
+
+103
+00:08:21,650 --> 00:08:23,990
+بيرتبط بالهيبارين
+
+104
+00:08:30,280 --> 00:08:34,240
+الـ Antithrombin سوف يقوم بـBind أولًا مع
+
+105
+00:08:34,240 --> 00:08:40,160
+الهيبارين، سوف يقوم بـBind أولًا مع الهيبارين، ماشي؟
+
+106
+00:08:40,160 --> 00:08:46,220
+ليش؟ قلنا لتسريع الاتجاه، الـ Antithrombin برتبط
+
+107
+00:08:46,220 --> 00:08:50,440
+بالـ serine protease بدون الهيبارين، نعم برتبط، لكن
+
+108
+00:08:50,440 --> 00:08:54,120
+بيعمل ببطء شديد، it takes
+
+109
+00:08:57,080 --> 00:09:01,780
+it takes minutes instead of seconds بيقولوا
+
+110
+00:09:01,780 --> 00:09:06,420
+إن الهيبارين بيسرع can increase the rate of
+
+111
+00:09:06,420 --> 00:09:11,980
+reaction إلى أكثر من ألف وبعض المرات بتقول ألفين
+
+112
+00:09:11,980 --> 00:09:18,160
+ضعف الألف ضعف وطبيعي الألف ضعف معناته السرعة
+
+113
+00:09:18,160 --> 00:09:25,680
+صار سرعتها زادت ألف مرة التفاعل بيكون عالي جدًا وسريع
+
+114
+00:09:25,680 --> 00:09:31,960
+جداً وبيعمل inhibition بصراحة يبت .. يبتالي نعيد من
+
+115
+00:09:31,960 --> 00:09:36,540
+أول الـ Heparin الـ antithrombin ثلاثة والـ first
+
+116
+00:09:36,540 --> 00:09:41,860
+bind with Heparin وبعد ما يرتبط بالـ Heparin
+
+117
+00:09:41,860 --> 00:09:46,920
+بيرتبط بالـ Serine Protease بيرتبط بمين؟ بالـ Serine
+
+118
+00:09:46,920 --> 00:09:51,400
+Protease بمجرد ما يرتبط بالـ Serine Protease
+
+119
+00:09:51,400 --> 00:09:57,180
+الـ heparin بيفك الـ heparin بيغلق ماشي؟ بمجرد ما
+
+120
+00:09:57,180 --> 00:10:01,480
+يرتبط بالـ Serine Protease الـ heparin قد دوره
+
+121
+00:10:01,480 --> 00:10:07,140
+بينسحب يسيب الـ antithrombin والآن بيضل
+
+122
+00:10:07,140 --> 00:10:13,620
+عندنا Complex بيتكون من مين؟ 100% الـ antithrombin
+
+123
+00:10:13,620 --> 00:10:17,720
+والـ Serine Protease الـ Serine Protease هو الـ enzyme
+
+124
+00:10:21,130 --> 00:10:26,690
+ماذا يفعل؟ يعمل على الـ antithrombin ويقطعه إلى two
+
+125
+00:10:26,690 --> 00:10:34,470
+fragments واحدة منها تعمل blocking لمين؟ للـ 
+
+126
+00:10:34,470 --> 00:10:37,770
+thrombin function أو للسيرين بروتييز
+
+127
+00:10:43,740 --> 00:10:47,560
+الـ Antithrombin ثم بيصير فيه two fragments واحدة
+
+128
+00:10:47,560 --> 00:10:52,040
+منهم بتمسك الشيبيولايت واحدة منهم بتمسك اللي هو
+
+129
+00:10:52,040 --> 00:10:57,940
+بتعمل blocking للـ active sites of the serine 
+
+130
+00:10:57,940 --> 00:11:03,920
+protease وبالتالي بتعمله inhibition مفهوم؟
+
+131
+00:11:03,920 --> 00:11:15,400
+حد عنده سؤال؟ حد عنده سؤال؟ ماشي؟ بتحبه قاعد؟ بس ال
+
+132
+00:11:15,400 --> 00:11:18,480
+fragment اللي بتعمله ال blocking للـ active site
+
+133
+00:11:18,480 --> 00:11:23,160
+لمين؟ للـ serine protein طبعا طبعا طب كيف بتتحد يا
+
+134
+00:11:23,160 --> 00:11:26,040
+دكتور؟ كيف؟ كيف بتتحد يا دكتور؟ واحدة heavy
+
+135
+00:11:26,040 --> 00:11:31,220
+واحدة light تمسك الـ ash الـ heavy بالـ ash بالـ
+
+136
+00:11:31,220 --> 00:11:35,400
+serine protein ومن عند الـ binding site تبعته
+
+137
+00:11:35,400 --> 00:11:40,120
+فتعمله inhibition بتعمله ايش؟ inhibition المفهوم
+
+138
+00:11:40,120 --> 00:11:50,660
+شباب؟ ناخد المثال الثاني على العائلة الثانية وهي
+
+139
+00:11:50,660 --> 00:11:58,960
+protein C system تباين معايا protein C system
+
+140
+00:11:58,960 --> 00:12:03,140
+الميكانيزم
+
+141
+00:12:03,140 --> 00:12:13,590
+عشان يشتغل يحتاج إلى شرط مشروط يحتاج إلى أن يكون
+
+142
+00:12:13,590 --> 00:12:21,130
+الـ thrombin at high level يبقى شرط عمل هذا الـ
+
+143
+00:12:21,130 --> 00:12:25,630
+mechanism أنه يكون الـ thrombin at high level
+
+144
+00:12:25,630 --> 00:12:31,310
+وما يكونش مصير at high level لما يكون وصل إلى نهاية
+
+145
+00:12:31,310 --> 00:12:36,470
+عمله لأن الـ coagulation process شباب تبدأ in a
+
+146
+00:12:36,470 --> 00:12:41,490
+propagation manner بحالة .. بحالة ايش؟ بحالة
+
+147
+00:12:41,490 --> 00:12:47,730
+العكومية كل ما اشتغلت
+
+148
+00:12:47,730 --> 00:12:51,670
+بيكمل بعض وبيزود بعض وبالتالي بيزيد ال
+
+149
+00:12:51,670 --> 00:12:55,850
+concentration of serine proteases كل ما اشتغلت
+
+150
+00:12:55,850 --> 00:12:58,910
+أكثر وكل ما اشتغلت أكثر وكل ما عندنا جلطة أكثر
+
+151
+00:12:58,910 --> 00:13:06,330
+أسرع، بسبب عند حد معين بيكون تركيزها عالي، ماشي؟
+
+152
+00:13:06,330 --> 00:13:09,150
+تركيز الثرومبين فيها عالي، والثرومبين هو اللي
+
+153
+00:13:09,150 --> 00:13:14,120
+بيشتغل على مين؟ وبيحولوا لمين؟ مية في المين،
+
+154
+00:13:14,120 --> 00:13:18,340
+ماشي؟ هو اللي بيعمل cloth، at high level of
+
+155
+00:13:18,340 --> 00:13:22,300
+thrombin بيكون .. بيكون فاكرين في الـ function
+
+156
+00:13:22,300 --> 00:13:26,660
+بتاعة الـ thrombin، قولنا فيه ستة functions، مظبوط،
+
+157
+00:13:26,660 --> 00:13:35,550
+at low level بنشط مين؟ الـ 8 و 5 و الـ 8 و 5 و 5 و
+
+158
+00:13:35,550 --> 00:13:41,030
+8 و 5 و 8 و 5 و 8 و 5 و 8 و 5 و 8 و 5 و 8 و 5 و 8
+
+159
+00:13:41,030 --> 00:13:43,650
+و 5 و 8 و 5 و 8 و 5 و 8 و 5 و 8 و 5 و 8 و 5 و 8 و
+
+160
+00:13:43,650 --> 00:13:44,330
+5 و 8 و 5 و 8 و 5 و 8 و 5 و 8 و 5 و 8 و 5 و 8 و 5
+
+161
+00:13:44,330 --> 00:13:52,170
+8 و 8 و 8 و
+
+162
+00:13:52,170 --> 00:13:57,870
+8 و 8 بالـ thrombomodulin، من أين جاء الـ
+
+163
+00:13:57,870 --> 00:14:02,130
+thrombomodulin؟ أولاً، هو عبارة عن مكوّن أساسي من
+
+164
+00:14:02,130 --> 00:14:08,170
+مكونات الـ Platelet Alpha Granule، ماشي؟ واحنا
+
+165
+00:14:08,170 --> 00:14:11,310
+قاعدين بنشتغل على سطح الـ Platelet، قلنا لما
+
+166
+00:14:11,310 --> 00:14:15,830
+اتنشطت، تعمل الـ Degranulation، طلع منها مين؟ بالـ
+
+167
+00:14:15,830 --> 00:14:22,350
+Thrombin، Thrombin will bind to thrombomodulin،
+
+168
+00:14:22,350 --> 00:14:31,180
+ماشي؟ and في موضوع الكالسيوم صار في عندنا ثرمبل و
+
+169
+00:14:31,180 --> 00:14:37,060
+ثرمبل موديورين و كالسيوم هذا الكمبليكس سيحول إلى
+
+170
+00:14:37,060 --> 00:14:43,760
+بروتين C بالظبط وبيحولوا ليه؟ to active form
+
+171
+00:14:43,760 --> 00:14:50,300
+فبتحول إلى activated بروتين C ماشي؟ شو اللي صار في
+
+172
+00:14:50,300 --> 00:14:56,920
+هذا العالم؟ كلنا شباب كلنا Quaternary Complex وفي
+
+173
+00:14:56,920 --> 00:15:00,280
+الـ homeostatic mechanism شرط أساسي للتنشيط يكون
+
+174
+00:15:00,280 --> 00:15:04,960
+كواتيرناري كومبليكس شفنا خمسة التنازل
+
+175
+00:15:04,960 --> 00:15:09,940
+بروثرومبينيزل يكونوا كواتيرناري ملعق وهنا كوّننا
+
+176
+00:15:09,940 --> 00:15:12,660
+كواتيرناري كومبليكس يتكون من ثرومبل
+
+177
+00:15:12,660 --> 00:15:18,960
+ثرومبوموديوليد كالسيوم وبروتينسيوم محصلة اكتبيت
+
+178
+00:15:18,960 --> 00:15:23,710
+البروتينسيوم متابعين معاها وقولنا هذا الكملة اسمها
+
+179
+00:15:23,710 --> 00:15:28,530
+ما بيتكون إلا at high level of its thrombin صار في
+
+180
+00:15:28,530 --> 00:15:35,190
+عندنا activated thrombin البروتين C this molecule
+
+181
+00:15:35,190 --> 00:15:40,970
+will bind to its cofactor في الـ cofactor تبعه مين
+
+182
+00:15:40,970 --> 00:15:46,690
+الـ cofactor تبعه البروتين S مين الـ cofactor
+
+183
+00:15:46,690 --> 00:15:55,820
+البروتين S ماشي اكتفت البروتين C في وجود البروتين S
+
+184
+00:15:55,820 --> 00:15:59,520
+يعني it will bind to protein S in the presence of
+
+185
+00:15:59,520 --> 00:16:03,540
+كالسيوم في وجود الكالسيوم شو بيعمل؟ يعني هو قاعد
+
+186
+00:16:03,540 --> 00:16:07,960
+بيكون quaternary complex ثاني ماشي بيرتبط
+
+187
+00:16:07,960 --> 00:16:13,920
+بالـ activated form of factor خمسة وثمانية وبيحولهم
+
+188
+00:16:13,920 --> 00:16:18,060
+بيعملهم degradation بيحولهم إلى inactivated form
+
+189
+00:16:18,060 --> 00:16:25,360
+عيد تانية هذه التانية اه at high level of thrombin
+
+190
+00:16:25,360 --> 00:16:30,320
+ايوه ماشي وزي ما أنتم شايفين الـ thrombin من وين
+
+191
+00:16:30,320 --> 00:16:36,220
+جاي ماشي at high level of thrombin it will bind to
+
+192
+00:16:36,220 --> 00:16:40,300
+thrombomodulin لبريزاجشونكاليوشيوم و الـ bind و الـ
+
+193
+00:16:40,300 --> 00:16:43,220
+protein C وبيحاولوا الـ activated form of protein
+
+194
+00:16:43,220 --> 00:16:49,720
+C هذا باطمط في protein S اللي هو cofactor له ماشي
+
+195
+00:16:50,390 --> 00:16:55,090
+في وجود الكالسيوم ماشي، شو بيعمل؟ it will
+
+196
+00:16:55,090 --> 00:17:01,410
+inactivate factor 5A و factor 8A، 5A جاية من وين؟
+
+197
+00:17:01,410 --> 00:17:08,590
+من 10A، صح؟ و 8 من 9A، فاكرين؟ الـ coagulation
+
+198
+00:17:08,590 --> 00:17:13,910
+cascade، اه، ماشي، مش بيكونوا complexes، واحد
+
+199
+00:17:13,910 --> 00:17:20,630
+تنهز، واحد بيبقى ترقب الناس، مظبوط، طيب، أرتبط في
+
+200
+00:17:20,630 --> 00:17:25,850
+خمسة ايه؟ ثمانية أو عملهم degradation عملهم ايش؟
+
+201
+00:17:25,850 --> 00:17:29,890
+degradation مين اللي عمل degradation؟ protein C
+
+202
+00:17:29,890 --> 00:17:33,590
+النشط فوق الـ .. الـ .. الـ .. الـ .. الـ .. الوضع
+
+203
+00:17:33,590 --> 00:17:37,750
+النشط منهم، ماشي؟ الـ activated form منهم، الـ
+
+204
+00:17:37,750 --> 00:17:43,850
+activated form منهم، ما عادوش بقى، ماشي؟ عرفنا
+
+205
+00:17:43,850 --> 00:17:48,250
+الميكانيزم الثاني بس في نقطة هنا بدنا نحكي فيها و
+
+206
+00:17:48,250 --> 00:17:54,190
+هي الـ protein S الـ protein S شباب وجدوا أنه بيكون
+
+207
+00:17:54,190 --> 00:18:02,130
+في الجسم على شاكلتين على شاكلتين الـ protein S
+
+208
+00:18:02,130 --> 00:18:06,150
+بيكون
+
+209
+00:18:06,150 --> 00:18:09,730
+free و
+
+210
+00:18:09,730 --> 00:18:10,390
+bound
+
+211
+00:18:14,070 --> 00:18:20,030
+الـ free form بيشكل حوالي 40% بينما الـ bound form
+
+212
+00:18:20,030 --> 00:18:27,330
+بيشكل 60% ماشي؟
+
+213
+00:18:27,330 --> 00:18:30,810
+والنسبة
+
+214
+00:18:30,810 --> 00:18:36,010
+هذه مهمة جدا ليش مهمة جدا؟ لأن أي لعب في هذه
+
+215
+00:18:36,010 --> 00:18:42,500
+النسبة هيؤثر على الـ free form of protein S وهو الـ
+
+216
+00:18:42,500 --> 00:18:45,040
+active form هو اللي بيشتغل هو اللي بيتبط بالـ
+
+217
+00:18:45,040 --> 00:18:50,100
+protein C لأن اللي ممسوك مش راح يتبط بالـ activated
+
+218
+00:18:50,100 --> 00:18:53,860
+protein C ماشي؟ يعني لما ييجي يشتغل الـ protein C
+
+219
+00:18:53,860 --> 00:18:56,760
+الـ activated form و الـ protein C إذا ما لجاش الـ
+
+220
+00:18:56,760 --> 00:19:01,580
+protein S بيشتغل؟ لأ، في لأ، فاهمين عليا بيشتغل
+
+221
+00:19:01,580 --> 00:19:08,520
+لكن ببطء مفهوم شباب النسبة هذه مهمة جدا اللي قاعد
+
+222
+00:19:08,520 --> 00:19:10,900
+فيها بيؤثر indirect
+
+223
+00:19:13,400 --> 00:19:23,020
+البروتين C النشط طب الـ bound مرتبط بحاجة بيسموها
+
+224
+00:19:23,020 --> 00:19:31,360
+C4B binding protein سمعتوا
+
+225
+00:19:31,360 --> 00:19:42,260
+بالـ C4B C اختصار لـ complement ماشي complement رقم 4
+
+226
+00:19:43,630 --> 00:19:49,370
+النشطة ماشي C4B binding protein complement كلكم
+
+227
+00:19:49,370 --> 00:19:53,950
+بتعرفون وهي عبارة عن سلسلة بروتينية ماشي بتعتبر
+
+228
+00:19:53,950 --> 00:19:59,070
+أداة من أدوات الـ immune system وبالتالي تنشط في
+
+229
+00:19:59,070 --> 00:20:04,270
+حالات الـ inflammation يوم ما تنشط تكتر فتمسك في
+
+230
+00:20:04,270 --> 00:20:09,770
+بروتين C أكثر مظبوط طب إذا مشكلة في protein S أكثر،
+
+231
+00:20:09,770 --> 00:20:13,910
+بتقل الـ protein في الـ .. في الـ E protein فوق؟ بتقل
+
+232
+00:20:13,910 --> 00:20:17,750
+النسبة هذه، ولما تقل النسبة هذه، بتأثر على
+
+233
+00:20:17,750 --> 00:20:21,510
+protein C، طب ولما تأثر على protein C، بتقل
+
+234
+00:20:21,510 --> 00:20:27,290
+نشاطه، شو بيصير؟ بيصير Clotting يعني ايش؟ في .. في
+
+235
+00:20:27,290 --> 00:20:33,310
+Clotting Clotting؟ مش Anti-coagulation يعني ايش؟
+
+236
+00:20:33,310 --> 00:20:36,380
+عشان هيك في الـ inflammatory reaction بيصير فيه
+
+237
+00:20:36,380 --> 00:20:40,680
+إمكانية لتكون جلطة أكثر من إياش من إنه نزيد، مفهوم
+
+238
+00:20:40,680 --> 00:20:44,840
+عليا؟ ليش؟ لأنه لعبنا في الميزان، ايش هو الميزان؟
+
+239
+00:20:44,840 --> 00:20:48,240
+هذا بيشتغل بالميزان، الـ anti-coagulant و الـ pro
+
+240
+00:20:48,240 --> 00:20:52,900
+-coagulant، صح؟ مظبوط؟ لعبنا في ايش في كفة ميزان
+
+241
+00:20:52,900 --> 00:20:59,480
+واحدة منهم، قللنا الكفة، ماشي، خففناها يعني،
+
+242
+00:20:59,480 --> 00:21:05,000
+فالكفة الثانية هتزيد، مفهوم عليا؟ وبالتالي يصير فيه
+
+243
+00:21:05,000 --> 00:21:08,100
+ايش؟ إمكانية أنه يصير فيه جلطة أكثر من ما إمكانية
+
+244
+00:21:08,100 --> 00:21:13,280
+أنه يصير فيه نزيل أفهم عليها الولاية المباشرة بين
+
+245
+00:21:13,280 --> 00:21:19,180
+ايش؟ بين البروتين C وبروتين S وولاقتهم بيه اللي هو
+
+246
+00:21:19,180 --> 00:21:26,140
+تكوين الجلطة اللي فوق الشباب، حد عنده سؤال؟ طبعا،
+
+247
+00:21:26,140 --> 00:21:32,360
+زي ما أنتم ملاحظين الـ
+
+248
+00:21:32,360 --> 00:21:32,540
+..
+
+249
+00:21:36,440 --> 00:21:45,000
+الـ .. الـ .. الـ mechanism هذا مرات بيكون وراثيًا
+
+250
+00:21:45,000 --> 00:21:52,500
+genetically defected genetically defected بمعنى 
+
+251
+00:21:52,500 --> 00:21:55,340
+الـ proteins هي يا شباب اللي بتملي جيش على ال
+
+252
+00:21:55,340 --> 00:21:59,260
+factor 5 ماشي بيجي بمسك في ال active site تبعته
+
+253
+00:21:59,260 --> 00:22:05,660
+بعملها inactivation بقطعه و بعمل inactivation يعني
+
+254
+00:22:05,660 --> 00:22:12,620
+بيجي برتبط بمواقع معينة على factor خمسة النشط طب
+
+255
+00:22:12,620 --> 00:22:16,020
+هو factor خمسة عبارة عن أيش؟ عبارة عن amino acid،
+
+256
+00:22:16,020 --> 00:22:21,580
+protein مجبوط، amino acid فلو صار فيه تبديل في
+
+257
+00:22:21,580 --> 00:22:23,780
+مواقع ال active sites
+
+258
+00:22:29,240 --> 00:22:34,060
+فاكتور خمسة نشط ولا بيظل نشط؟ بيظل نشط، ماشي؟
+
+259
+00:22:34,060 --> 00:22:38,560
+وجدوا هذه الظاهرة موجودة بعض مرات بإن ال protein
+
+260
+00:22:38,560 --> 00:22:44,540
+خمسة بيكون ورثيا، ماشي، defected، بمعنى صار في
+
+261
+00:22:44,540 --> 00:22:50,310
+single nucleotide polymorphism SNPs وبالتالي أثرت
+
+262
+00:22:50,310 --> 00:22:56,110
+هذه حولت اللي هو factor 5 المواقع الناشطة فيها
+
+263
+00:22:56,110 --> 00:22:59,750
+اتغير ال amino acid اللي موجود وبالتالي بقرر يتعرف
+
+264
+00:22:59,750 --> 00:23:04,310
+عليه نعم ماشي بيسموا هذا المرض factor 5 Leiden
+
+265
+00:23:04,310 --> 00:23:10,850
+factor 5 Leiden باسم العالمة اللي هضد ديه ليش؟
+
+266
+00:23:15,160 --> 00:23:18,980
+اللي اكتشفت هذا الموضوع طبعا الناس هدول في هذه
+
+267
+00:23:18,980 --> 00:23:23,180
+الحالة شو بيصيروا يا شباب؟ بيصيروا عرضة لإيش؟
+
+268
+00:23:23,180 --> 00:23:29,880
+لجلطة بالظبط عرضة لـ clot formation طيب
+
+269
+00:23:29,880 --> 00:23:35,520
+ننتقل لميكانيزم التالت وهو إيش؟ وهو tissue factor
+
+270
+00:23:35,520 --> 00:23:39,000
+pathway inhibitor والمرة اللي فاتة كنا حكينا إنه
+
+271
+00:23:39,000 --> 00:23:41,900
+tissue factor pathway inhibitor ماهو هو عبارة
+
+272
+00:23:41,900 --> 00:23:48,860
+عن inhibitor موجود بشكل أساسي على طول على الـ endothelium
+
+273
+00:23:48,860 --> 00:23:55,140
+ماشي شو بعمله؟ بعمله انهيبش إلى الـ complex اللي هو
+
+274
+00:23:55,140 --> 00:23:58,060
+tissue factor سبعة ايه complex و بعمله انهيبش إلى
+
+275
+00:23:58,060 --> 00:24:01,580
+فاكتور عشرة و بعمله انهيبش إلى فاكتور عشرة و زي ما
+
+276
+00:24:01,580 --> 00:24:06,060
+انتوا شايفين هذا ال endothelium طبعا مزعج
+
+277
+00:24:12,080 --> 00:24:18,980
+وعمل Complex هذا بنشط عشرة أو تسعة مظبوط و
+
+278
+00:24:18,980 --> 00:24:23,080
+automatically بمجرد ما يصير في activation لهذا ال
+
+279
+00:24:23,080 --> 00:24:27,220
+ميكانيزم كنت اما هو بخوف ربنا اعطانا له حماية
+
+280
+00:24:27,220 --> 00:24:32,140
+عالمطح فورية بيجي tissue factor pathway inhibitor
+
+281
+00:24:32,140 --> 00:24:36,640
+وبيعملاش blocking لهذا ال ميكانيزم وشوفنا كيف بتتم
+
+282
+00:24:36,640 --> 00:24:43,330
+التحويلة ماشي مفهوم؟ بيعمل blocking ليش لهذا ال
+
+283
+00:24:43,330 --> 00:24:46,190
+mechanism اللي هو tissue factor plus one inhibitor
+
+284
+00:24:46,190 --> 00:24:50,310
+بعمل inactivation لفكتور عشرة النشط وفكتور سبعة
+
+285
+00:24:50,310 --> 00:24:54,490
+tissue factor complex أو سبعة a المفهوم مش هيبقى
+
+286
+00:24:54,490 --> 00:25:00,370
+هذا ميكانيزم موجود شبهناها المرة اللي فاتت هذا ال
+
+287
+00:25:00,370 --> 00:25:04,450
+mechanism وكأننا خشينا على غرفة مظلمة وضوينا الضوء
+
+288
+00:25:04,450 --> 00:25:10,390
+وطفنا صح؟ يعني automatically بس يبدأ التفاعل بنطفي
+
+289
+00:25:10,390 --> 00:25:14,610
+بس يبدأ التفاعل بنطفي لكن إنت لما بتضوي الضوء و
+
+290
+00:25:14,610 --> 00:25:18,070
+بتطفي بتشوف إيش فيه في الغرفة و بتشوف إيش فيه في
+
+291
+00:25:18,070 --> 00:25:22,710
+المقادة اللي بيصير، بتكون كمية قليلة من factor 10A
+
+292
+00:25:22,710 --> 00:25:29,410
+النشط اللي بيتكمل ال reaction حد عنده سؤال يا شباب؟
+
+293
+00:25:32,380 --> 00:25:37,940
+حد مش فاهم، حد بيحب أعيد؟ طيب هذه طبعا slide بتبين
+
+294
+00:25:37,940 --> 00:25:42,020
+ليه سلسلة مناشر، سلسلة ال anticoagulant اللي
+
+295
+00:25:42,020 --> 00:25:46,560
+موجودة وهذا عبارة عن ال coagulation cascade
+
+296
+00:25:46,560 --> 00:25:52,330
+mechanism بيبين فيه دور الـ Inhibitor بشكل أساسي،
+
+297
+00:25:52,330 --> 00:25:56,510
+زي ما بتلاحظوا فيه دوائر صفراء ماشي، هذه الدوائر
+
+298
+00:25:56,510 --> 00:26:03,190
+مكتوب في جلبها plus و minus، plus يعني active و
+
+299
+00:26:03,190 --> 00:26:07,610
+minus الميكروفينية، فلو تتبعت اللي شرحناه كله في
+
+300
+00:26:07,610 --> 00:26:11,550
+الفترة اللي فاتت، هتلاقي انه المواقع الـ Pro
+
+301
+00:26:11,550 --> 00:26:15,930
+-coagulation ومواقع الـ Anti-coagulation الاسعار،
+
+302
+00:26:15,930 --> 00:26:24,760
+مفهوم يا شباب؟ حد عنده شوية؟ حد عنده سؤال؟ نبدأ
+
+303
+00:26:24,760 --> 00:26:37,820
+بالمحاضرة التانية المحاضرة
+
+304
+00:26:37,820 --> 00:26:43,500
+التانية تحكي عن الـ Fibrinolytic System واتبعوا
+
+305
+00:26:43,500 --> 00:26:45,360
+عليها يا شباب بداية
+
+306
+00:26:47,410 --> 00:26:50,850
+لما بدأنا نحكي في ال hemostasis عرفناه وقلنا له
+
+307
+00:26:50,850 --> 00:26:57,830
+different components قلنا له ال blood vessel as a
+
+308
+00:26:57,830 --> 00:27:02,170
+component أساسي ثم ال platelet ثم ال coagulation
+
+309
+00:27:02,170 --> 00:27:09,130
+factor ماشي ثم ال fibrinolytic system و بعدين قلنا
+
+310
+00:27:09,130 --> 00:27:14,280
+في inhibitors لكل هذه ال system ماشي؟ انا قدمت ال
+
+311
+00:27:14,280 --> 00:27:17,640
+inhibitors عن ال fibrinolytic system لإن هو ال final
+
+312
+00:27:17,640 --> 00:27:23,140
+هو النهائي اللي بيصير حملية healing، بيصير شفاء
+
+313
+00:27:23,140 --> 00:27:28,720
+للجريحة، صار فيه مزج، كوننا جلطة، بنينا الجلطة
+
+314
+00:27:29,040 --> 00:27:33,840
+بضلنا نبني بحيث انه ما سكرناش ال blood vessels
+
+315
+00:27:33,840 --> 00:27:38,080
+مظبوط و اول ما بدى يصير فيه تسكير في ال blood
+
+316
+00:27:38,080 --> 00:27:43,160
+vessels بدى ال fibrinolytic system يعمل إذابة لكل
+
+317
+00:27:43,160 --> 00:27:49,280
+الجلطات اللي زوائد الجلطة اللي تكون مفهومش بقى هذا
+
+318
+00:27:49,280 --> 00:27:52,940
+اللي هندرسه في ال fibrinolytic system هذا اللي
+
+319
+00:27:52,940 --> 00:27:56,200
+هندرسه في ال fibrinolysis أو ال fibrinolytic system
+
+320
+00:28:05,620 --> 00:28:09,140
+بالنسبة للتاريخ، بدأت الحكاية، بدأنا نحكي عن هذا
+
+321
+00:28:09,140 --> 00:28:12,460
+الـ system في الـ 1937، لما مكفارلانس، scientist
+
+322
+00:28:12,460 --> 00:28:18,340
+اسمه مكفارلانس، إيش قال؟ قال إن الـ damage in
+
+323
+00:28:18,340 --> 00:28:23,120
+tissue، بيطلع منها substance، هذه ال substance
+
+324
+00:28:23,120 --> 00:28:28,390
+فيها عبارة عن activator ماشي باضعافة لل activators
+
+325
+00:28:28,390 --> 00:28:32,970
+اللي بتطلع فيه activator طلع ماشي نشط substrate
+
+326
+00:28:32,970 --> 00:28:38,330
+اسمه بلازمينوجين و حوله الى انزايم سموه Plasmin
+
+327
+00:28:39,340 --> 00:28:42,220
+بداية الحكية عن الموضوع كانت في سبعة و تلاتين،
+
+328
+00:28:42,220 --> 00:28:45,300
+تلفة وتسعمائه و سبعة و تلاتين، MacFarlane's جاله
+
+329
+00:28:45,300 --> 00:28:48,340
+انه بيطلع، اليوم مايصير فيه مزعج، في tissue
+
+330
+00:28:48,340 --> 00:28:52,000
+plasminogen activator، a plasminogen activator،
+
+331
+00:28:52,000 --> 00:28:55,180
+ماشي؟ وسموها tissue لإنها طالع من ال damage
+
+332
+00:28:55,180 --> 00:28:59,860
+tissue، مظبوط، tissue plasminogen activator، which
+
+333
+00:28:59,860 --> 00:29:04,860
+convert plasminogen as a substrate إلى إيش؟ إلى
+
+334
+00:29:04,860 --> 00:29:09,390
+plasmin، مفهوم عن أيه؟ هذا الكلام؟ انحكى فيه في
+
+335
+00:29:09,390 --> 00:29:15,270
+السابع و تلاتين تعريفاً الـ Fibrinolytic process هي
+
+336
+00:29:15,270 --> 00:29:18,610
+عبارة عن عملية بنتور فيها دا process of removing
+
+337
+00:29:18,610 --> 00:29:26,790
+fibrin ماشي from .. from ماشي from the vasculature
+
+338
+00:29:26,790 --> 00:29:30,890
+vasculature يعني إيش الوسط؟ الوسط الدمو اللي صار
+
+339
+00:29:30,890 --> 00:29:36,740
+فيه مزاق صار فيه fibrin اكلت و fibrin تكون في وسط
+
+340
+00:29:36,740 --> 00:29:41,360
+مين؟ لما المزعج بنيرال جالتر ده البقايا مين؟
+
+341
+00:29:41,360 --> 00:29:44,060
+البقايا الفايربرين احنا مانينا ندوّن هذا
+
+342
+00:29:44,060 --> 00:29:48,860
+الفايربرين ونرجع ال blood vessels إلى وضعه 100 في
+
+343
+00:29:48,860 --> 00:29:56,900
+النيل ف system هدواتهماشي اللاعيبين الأساسيين فيه
+
+344
+00:29:56,900 --> 00:30:00,340
+نمر واحد بلازمينوجين بدنا substrate نمر واحد
+
+345
+00:30:00,340 --> 00:30:03,740
+بلازمينوجين وهو ال substrate ثم activator لل
+
+346
+00:30:03,740 --> 00:30:07,960
+substrate وهو بلازمينوجين activator ماشي which
+
+347
+00:30:07,960 --> 00:30:12,280
+activate البلازمينوجين إلى ال enzyme إلى ال enzyme
+
+348
+00:30:12,280 --> 00:30:16,940
+form وهو البلازمين ماشي شو بعمل البلازمين؟ بشتغل
+
+349
+00:30:16,940 --> 00:30:21,960
+على ال fibrin and fibrinogen لأنه بشتغل على الجهتين
+
+350
+00:30:22,850 --> 00:30:27,250
+وبيحولهم إلى degradation product شو بيحولهم؟
+
+351
+00:30:27,250 --> 00:30:31,950
+degradation product أو بيسموهم splitting product
+
+352
+00:30:31,950 --> 00:30:37,370
+بيسموهم إيش؟ splitting split يعني إيش؟ التقطيع،
+
+353
+00:30:37,370 --> 00:30:42,910
+split، التشجيف، التشجيف بالبلدي، ماشي؟ يبقى
+
+354
+00:30:42,910 --> 00:30:51,110
+المختار الاختصار هو FDP أو FSP أو إيش؟ FSP، FSP
+
+355
+00:30:51,110 --> 00:30:52,050
+اختصار لإيش؟
+
+356
+00:30:55,050 --> 00:31:01,630
+fibrin degradation products fibrin degradation products
+
+357
+00:31:01,630 --> 00:31:06,470
+fibrin degradation products
+
+358
+00:31:06,470 --> 00:31:13,860
+fibrin degradation products طبعا هذا ال system كاملا، هذا ال system
+
+359
+00:31:13,860 --> 00:31:20,440
+يحتاج إلى inhibitors، يحتاج إلى controller، مظبوط؟
+
+360
+00:31:20,440 --> 00:31:22,660
+فبدنا نحكي كمان على ال inhibitors أو الـ
+
+361
+00:31:22,660 --> 00:31:27,360
+tissue plasminogen activator and plasmin مفهومش
+
+362
+00:31:27,360 --> 00:31:30,640
+بقى؟
+
+363
+00:31:30,640 --> 00:31:37,890
+ماشي؟ وظيفة عرفنا تعريفا ووظيفة الـ Fibrinolytic System
+
+364
+00:31:37,890 --> 00:31:41,850
+أو الـ Fibrinolysis is a system whereby the
+
+365
+00:31:41,850 --> 00:31:47,470
+temporary fibrin clot is systematically and
+
+366
+00:31:47,470 --> 00:31:51,450
+gradually dissolved يعني احنا بندوب الجلطة اللي
+
+367
+00:31:51,450 --> 00:31:58,770
+تكون موقتا عشان تسد الجريح كل الجلطة اللي بدوبها
+
+368
+00:31:59,630 --> 00:32:03,050
+اللي ممكن تعمل إنها إنسداد في ال blood vessels
+
+369
+00:32:03,050 --> 00:32:08,400
+تمشيه لما بتدوبها بيصير، بنرجع ال blood vessels إلى
+
+370
+00:32:08,400 --> 00:32:10,860
+وضع الطبيعي، لأن اليوم اللي بنجرطه في الوعاء
+
+371
+00:32:10,860 --> 00:32:15,560
+الدموي، بنعمل occlusion، بنعمل إيش؟ انسداد، لكن
+
+372
+00:32:15,560 --> 00:32:19,660
+الانسداد مش كامل، ماشي، انسداد، هذا الانسداد بيعمل
+
+373
+00:32:19,660 --> 00:32:22,920
+ضيق في هذه المنطقة، بيأثر على ال blood flow ولا ما
+
+374
+00:32:22,920 --> 00:32:27,140
+بيأثر؟ بيأثر على ال blood flow، فاحنا بنعملين رجع
+
+375
+00:32:27,140 --> 00:32:31,890
+ال blood vessels بما يسمح normal blood flow بما 
+
+376
+00:32:31,890 --> 00:32:38,230
+يسمح أن الـ blood flow يرجع إلى وضعه الطبيعي طيب،
+
+377
+00:32:38,230 --> 00:32:43,230
+هي عبارة عن Defense Mechanism أداة، هذه الأداة،
+
+378
+00:32:43,230 --> 00:32:46,310
+هذا الـ mechanism هو عبارة عن Defense Mechanism
+
+379
+00:32:46,310 --> 00:32:50,450
+against what؟ against occlusion أو blood vessels
+
+380
+00:32:50,450 --> 00:32:55,290
+يبقى هو عبارة عن Defense خط دفاع أساسي رد فعل 
+
+381
+00:32:55,290 --> 00:33:01,190
+الجسم الطبيعية لبناء جلطة إنها تهدمها صح؟ عشان يصير
+
+382
+00:33:01,190 --> 00:33:06,570
+فيه blood flow أن هي ايش تهدمها يبقى رد فعل الجسم
+
+383
+00:33:06,570 --> 00:33:13,130
+الطبيعي أحد وسائل الدفاع في الجسم لتكوين
+
+384
+00:33:13,130 --> 00:33:16,090
+الجلطة هو عبارة عن ايش؟ عبارة عن وجود system
+
+385
+00:33:16,090 --> 00:33:20,050
+يهدمها يا ايش؟ system يهدمها وبالتالي بيصير فيه
+
+386
+00:33:20,050 --> 00:33:24,350
+restoring for blood flow إلى الوضع الطبيعي إلى
+
+387
+00:33:24,350 --> 00:33:25,770
+ايش؟ الوضع الطبيعي
+
+388
+00:33:30,770 --> 00:33:36,110
+من صفات هذا ال system أنه it's sensitive to
+
+389
+00:33:36,110 --> 00:33:42,210
+imbalances شو يعني sensitive to imbalances؟ حساس
+
+390
+00:33:42,210 --> 00:33:46,470
+لعدم ..  لأنّه imbalance؟ ال hemostatic
+
+391
+00:33:46,470 --> 00:33:51,330
+balances مظبوط يوم ما يصير فيه أي تغير في الميزان
+
+392
+00:33:51,330 --> 00:33:56,130
+اللي إحنا متفقين عليه ويصير فيه imbalancing ببدأ
+
+393
+00:33:56,130 --> 00:34:00,130
+يشتغل هذا، ماشي؟ ببدأ يشتغل هذا الـ mechanism
+
+394
+00:34:00,130 --> 00:34:06,190
+وبالتالي عند أي تغير في ال hemostatic balance ال
+
+395
+00:34:06,190 --> 00:34:11,790
+fibrinolytic system can be done من صفاته أيضًا أنه
+
+396
+00:34:11,790 --> 00:34:17,780
+لما بيشتغل بيدمن لنا أن ال thrombus formation is
+
+397
+00:34:17,780 --> 00:34:21,880
+localized بمعنى بيصير لها restriction في منطقة
+
+398
+00:34:21,880 --> 00:34:25,040
+المزعج، منطقة ال damage، ال blood vessel is
+
+399
+00:34:25,040 --> 00:34:31,120
+damaged، تفهم عليا؟ لأن لو صار في تكون في أماكن
+
+400
+00:34:31,120 --> 00:34:35,500
+أخرى لـ fibrinic load، الـ fibrinolytic system بيسمح
+
+401
+00:34:35,500 --> 00:34:39,960
+لهاش إنها تنتقل إلى منطقة أخرى، لإنه أول بأول
+
+402
+00:34:39,960 --> 00:34:42,480
+بيكسرها
+
+403
+00:34:43,880 --> 00:34:52,440
+كمان من صفاته أنه it's initiated with يعني جنبًا
+
+404
+00:34:52,440 --> 00:34:57,180
+إلى جنب مع ال cooperation كأسه كلمة كذا وعشان
+
+405
+00:34:57,180 --> 00:35:00,880
+تتخيلوا الموضوع عشان ما يعني مش معقول التلين يبدو
+
+406
+00:35:00,880 --> 00:35:06,600
+مع بعض، مظبوط عشان تتخيلوا الموضوع كيف يتم يبدأ
+
+407
+00:35:06,600 --> 00:35:11,620
+يصير في مزعفي blood vessel injury يبدأ ال
+
+408
+00:35:11,620 --> 00:35:16,660
+coagulation cascade بالنشاط زي ما قلتلكوا جنبًا إلى
+
+409
+00:35:16,660 --> 00:35:21,740
+جنب مع ال fibrinolytic system شو الفرق بين اتنين أن
+
+410
+00:35:21,740 --> 00:35:26,960
+واحد بمشي بسرعة طيارة وواحد بمشي بسرعة سيارة
+
+411
+00:35:26,960 --> 00:35:31,620
+فاهمين عليها؟ واحد بمشي سريع جدًا والتاني اللي هو
+
+412
+00:35:31,620 --> 00:35:36,340
+ال coagulation cascade والتاني بمشي ببطء ماشي، لو
+
+413
+00:35:36,340 --> 00:35:41,980
+ابتديش هذا الكلام بدل ما بيبقى ماشي، لإله أن تتكون
+
+414
+00:35:41,980 --> 00:35:46,140
+الجلطة، ويصير فيه imbalance في ال hemostatic
+
+415
+00:35:47,110 --> 00:35:51,730
+Balance، ماشي؟ بعدها شو بيصير؟ تنعكس الآية
+
+416
+00:35:51,730 --> 00:35:57,590
+الفيبراليتك سيستم بيصير سريع جدًا ومين بيصير يعمل
+
+417
+00:35:57,590 --> 00:36:01,510
+degradation ال coagulation cascade بيتراجع
+
+418
+00:36:01,510 --> 00:36:06,450
+وبالتالي بيصير سرعة الهدم أكثر من سرعة البناء في
+
+419
+00:36:06,450 --> 00:36:10,730
+هذه الحكاية يبقى في البداية سرعة البناء بتكون
+
+420
+00:36:10,730 --> 00:36:17,860
+عالية أسرع من سرعة الهدم ثم بعد ذلك بتنعكس الآية و
+
+421
+00:36:17,860 --> 00:36:21,400
+بيصير سرعة الهدم أسرع مناش من سرعة البناء مفهوم
+
+422
+00:36:21,400 --> 00:36:25,000
+عليها بشبه بقى عشان هيك التنين بيبدو مع بعض صحيح
+
+423
+00:36:25,000 --> 00:36:32,360
+لكن بسرعات مختلفة بسرعات مختلفة واحد ممشي بسرعة
+
+424
+00:36:32,360 --> 00:36:37,660
+أعلى من التاني لغاية ما ينهي دوره ثم بيبدأ التاني
+
+425
+00:36:37,660 --> 00:36:42,350
+في العمل طبعًا محصلة من أدواره من صفات الـ Fibrotic
+
+426
+00:36:42,350 --> 00:36:48,190
+System أنه it dissolves the clot by digestion of
+
+427
+00:36:48,190 --> 00:36:53,110
+fiber يعني شو بيعمل؟ بيكسر .. بيدوّب الجلدة من
+
+428
+00:36:53,110 --> 00:36:59,230
+خلال digestion اللي هو عبارة عن عملية هدم ال .. ال
+
+429
+00:36:59,230 --> 00:37:09,540
+fiber  والموضوع ببساطة يا شباب بشكل عام بيتم
+
+430
+00:37:09,540 --> 00:37:15,730
+كالقادة كلنا بنعرف إنه بداية زي ما الحاجات متفقين
+
+431
+00:37:15,730 --> 00:37:19,350
+إحنا إنه التنين بيبدوا مع بعض واحد بيبدأ سريع واحد
+
+432
+00:37:19,350 --> 00:37:22,790
+بيبدأ بطيئي، مظبوط؟ يبقى في البداية بيبدأ الـ
+
+433
+00:37:22,790 --> 00:37:25,970
+Coagulation Cascade Mechanism ويبدأ تكوين كميات
+
+434
+00:37:25,970 --> 00:37:29,730
+كبيرة من الـ Thrombin الـ Thrombin هيشتغل على الـ
+
+435
+00:37:29,730 --> 00:37:34,970
+Fibrinogen ويحوله إلى Fibrin Polymer ثم Fibrin
+
+436
+00:37:34,970 --> 00:37:39,310
+Polymer ثم X-Linked Fibrin، صح؟ مش هيك متفقين؟
+
+437
+00:37:39,310 --> 00:37:43,760
+وتتكون الجلبة شو بيعمل ال .. ال .. ال ..
+
+438
+00:37:43,760 --> 00:37:47,780
+البلازمينوجين أو البلازمين؟ بيروح وشغال على الـ
+
+439
+00:37:47,780 --> 00:37:52,100
+Fibril Monomer وعمله degradation، بيشتغل على ال
+
+440
+00:37:52,100 --> 00:37:55,200
+Fibril Gen و Fibril Monomer وواش بيعمل؟ بيعمل
+
+441
+00:37:55,200 --> 00:38:01,580
+degradation، ماشي؟ عيد تاني يبقى في البداية بيبدأ
+
+442
+00:38:01,580 --> 00:38:07,100
+تحت تأثير الترابين الـ fibrin gel is cleaved
+
+443
+00:38:07,100 --> 00:38:11,500
+وبيتحول إلى fibrin monomer الـ fibrin monomer
+
+444
+00:38:11,500 --> 00:38:19,100
+بيشتغل عليها اللي هو البلازمن وبيعمل degradation
+
+445
+00:38:19,100 --> 00:38:22,600
+وبيكون فيه fibrin degradation product أو fibrin
+
+446
+00:38:22,600 --> 00:38:28,490
+process product المفهوم يا شباب هذا بشكل عام بشكل
+
+447
+00:38:28,490 --> 00:38:35,250
+تفصيلي نبدأ بشكل تفصيلي نبدأ ونقول أن once clot
+
+448
+00:38:35,250 --> 00:38:39,330
+once clotting begins the fibrinolytic system comes to
+
+449
+00:38:39,330 --> 00:38:43,070
+life يعني بيبدأ ياش كان ميت؟ لأ ماكنش ميت بس كان
+
+450
+00:38:43,070 --> 00:38:48,930
+يزحف كسلحفاة كان ياش كان بطيئًا بيحيط ولما بيحيط
+
+451
+00:38:48,930 --> 00:38:53,770
+شو بيعمل؟ plasminogen شو بيعمل؟ binds to fibrin
+
+452
+00:39:18,840 --> 00:39:26,720
+الجلطة تتكوّن ومفجّرها في مكان .. في داخلها ومفجرها
+
+453
+00:39:26,720 --> 00:39:31,280
+موجود وين؟ في داخلها إيش اللي يصير؟ وإحنا بنعمل
+
+454
+00:39:31,280 --> 00:39:36,940
+Formation بيدخل الـ Plasminogen فيه في تركيب الجسم
+
+455
+00:39:36,940 --> 00:39:41,180
+طبعًا هذا الكلام بيصير وين؟ في منطقة المزيع، منطقة
+
+456
+00:39:41,180 --> 00:39:47,140
+الحدث بعد ذلك في منطقة المزيع أو الحدث بيطلع من ال
+
+457
+00:39:47,140 --> 00:39:53,400
+tissue المنزوع tissue plasminogen activator منشط من
+
+458
+00:39:53,400 --> 00:40:01,340
+البلازمينوجين اللي هو دخل في بناء الجلطة فال
+
+459
+00:40:01,340 --> 00:40:05,300
+tissue plasminogen activator بيشترع بلازمينوجين و
+
+460
+00:40:05,300 --> 00:40:09,820
+بيحوله إلى بلازمين يعني بيحوله من زيوموجين إلى
+
+461
+00:40:09,820 --> 00:40:15,280
+إنزاين من زيوموجين إلى إنزايم فبيحوله إلى إنزايم
+
+462
+00:40:15,280 --> 00:40:18,920
+اللي هو ال complex formation of tissue plasminogen
+
+463
+00:40:18,920 --> 00:40:24,110
+activator مع البلازمينوجين ماشي المخصصة اللى تبعته
+
+464
+00:40:24,110 --> 00:40:27,210
+عبارة عن بلازمن البلازمن بقبط مع ال fiber أنه بعمل
+
+465
+00:40:27,210 --> 00:40:30,790
+fiber splitting أو degradation بشته العلانيل
+
+466
+00:40:30,790 --> 00:40:34,010
+البلازمن على ال fiber اللي بعمله degradation
+
+467
+00:40:34,010 --> 00:40:41,870
+مفهومش هبقى ببساطة البلازمن بيدخل في تركيب الجلطة
+
+468
+00:40:43,210 --> 00:40:48,690
+في داخل الجلطة ماشي في نفس الوقت التشو بلازمينوجين
+
+469
+00:40:48,690 --> 00:40:51,970
+اكتيفيتر هو بنى اكتيفيتر بنشط بيطلع من التشو
+
+470
+00:40:51,970 --> 00:40:55,790
+الممجوة من ال damage تشو وإيش بيعمل بيروح وبنشط
+
+471
+00:40:55,790 --> 00:40:58,190
+البلازمينوجين وبيحول لبلازمين اللي بلازمين بيشتغل
+
+472
+00:40:58,190 --> 00:41:01,490
+على ال fibrin وبيحوله أو ال fibrin ال monomer و
+
+473
+00:41:01,490 --> 00:41:08,510
+بيحوله إلى ايش؟ ال fibrin degradation ماشي حدده
+
+474
+00:41:08,510 --> 00:41:11,770
+شوية؟ ما هو الـ Plasminogen؟ عندنا هنجل الميكانيزمة
+
+475
+00:41:11,770 --> 00:41:16,010
+شغالة، تلاقوش ما هو الـ Plasminogen؟ هو عبارة عن
+
+476
+00:41:16,010 --> 00:41:21,510
+protein أمينواسد يصنع في الـ liver نكلارويتر 94
+
+477
+00:41:21,510 --> 00:41:27,050
+ألف دالتر، ماشي، اللايكوبرتين موجود في البلازمة
+
+478
+00:41:27,050 --> 00:41:33,670
+normally هو عبارة عن زيموجين يعني inactive، يعني
+
+479
+00:41:33,670 --> 00:41:38,470
+inert، ماشي، موجود normally في البلازمة البلازمين
+
+480
+00:41:39,590 --> 00:41:46,870
+مش موجود، ماشي؟ لأنما الـ Plasminogen هو موجود لأن
+
+481
+00:41:46,870 --> 00:41:52,310
+هو عبارة عن substrate، ماشي؟ طبعًا بيتحول زي ما
+
+482
+00:41:52,310 --> 00:41:55,250
+اتفقنا إلى Trypsin-like Serine Protease اللي هو
+
+483
+00:41:55,250 --> 00:42:01,430
+الـ Plasmin وهو اللي مشتغل على الغضب، ماشي،
+
+484
+00:42:01,430 --> 00:42:05,910
+following injury يعني بعد المزر، شو اللي بيصير؟ it
+
+485
+00:42:05,910 --> 00:42:11,440
+binds، مين اللي binds؟ البلايزمينوجين بتتبع إلى
+
+486
+00:42:11,440 --> 00:42:17,760
+الفيبرين خلال تطبيق التجارب ترتبط مع الفيبرين
+
+487
+00:42:17,760 --> 00:42:20,960
+المونيكول
+
+488
+00:42:20,960 --> 00:42:25,000
+أثناء تكوين الجلطة مع بلايزمينوجين اكتيفيتر هو من
+
+489
+00:42:25,000 --> 00:42:29,880
+المنشط طبعه هو وميه؟ كلهم بيخشوا أين؟ في تكوين
+
+490
+00:42:29,880 --> 00:42:36,320
+الجلطة وبالتالي Plasminogen once needed يوم ما فضيع
+
+491
+00:42:36,320 --> 00:42:41,640
+it converts Plasminogen to mean من الداخل، من داخل
+
+492
+00:42:41,640 --> 00:42:45,400
+الجمطة عشان هيك سهل جدا تفجيرها يا شباب، ماشي؟
+
+493
+00:42:45,400 --> 00:42:53,150
+لأنه زي ما كتبتكوا تدمير ذاتي أحسن التركيز والتركيز
+
+494
+00:42:53,150 --> 00:42:57,190
+يتم تشكيله بالإنفلاميشن تشكيله بالإنفلاميشن تشكيله
+
+495
+00:42:57,190 --> 00:42:59,670
+بالإنفلاميشن تشكيله بالإنفلاميشن تشكيله
+
+496
+00:42:59,670 --> 00:43:03,810
+بالإنفلاميشن تشكيله بالإنفلاميشن تشكيله
+
+497
+00:43:03,810 --> 00:43:05,910
+بالإنفلاميشن تشكيله بالإنفلاميشن تشكيله
+
+498
+00:43:05,910 --> 00:43:08,130
+بالإنفلاميشن تشكيله بالإنفلاميشن تشكيله
+
+499
+00:43:08,130 --> 00:43:12,370
+بالإنفلاميشن تشكيله بالإنفلاميشن تشكيله
+
+500
+00:43:12,370 --> 00:43:21,510
+بالإنفلاميشن تشكيله بالإنفلاميشن تشكمع تزيادة
+
+501
+00:43:21,510 --> 00:43:23,750
+التركيز على البلازمينوجين بشكل كبير. ماذا يحصل يا
+
+502
+00:43:23,750 --> 00:43:28,670
+شباب؟ جالوا once activated  الـ بلازمينوجين، كل اللي 
+
+503
+00:43:28,670 --> 00:43:34,270
+بيصير عشان يتحول للـ enzymatic form، أنه بيفرد،
+
+504
+00:43:34,270 --> 00:43:39,450
+بيصير له folding. يعني على خلاف الـ Coagulation
+
+505
+00:43:39,450 --> 00:43:43,310
+Factors  المتعرف عليه يا شباب أن الـ Coagulation
+
+506
+00:43:43,310 --> 00:43:47,830
+Factors يصبحوا كليفجي صح؟ وين عند الـ active site؟
+
+507
+00:43:47,830 --> 00:43:53,790
+فبتبين الـ active site هذا بيكون كامش و بفرد بيكون
+
+508
+00:43:53,790 --> 00:43:58,750
+كامش و بفتح يوم يصبح له opening بتبين الـ active
+
+509
+00:43:58,750 --> 00:44:01,610
+site ولا بتبينش؟ بتبين الـ active site وبالتالي
+
+510
+00:44:01,610 --> 00:44:07,900
+بيشتغل وبتحول إلى potent enzymatic domain. حد عنده 
+
+511
+00:44:07,900 --> 00:44:14,300
+سؤال؟ ماشي؟ حد عنده سؤال أي شيء بقى، مرة جاية إن شاء
+
+512
+00:44:14,300 --> 00:44:19,020
+الله بنبدأ في الـ mechanism و بالذات و بنبدأ في
+
+513
+00:44:19,020 --> 00:44:22,140
+واحدة واحدة بنشوف الـ activator، بنشوف الـ plasma
+
+514
+00:44:22,140 --> 00:44:27,040
+energy، كيف هي اتحول الـ plasma والـ Plasmin بنتعرف
+
+515
+00:44:27,040 --> 00:44:30,880
+على الـ inhibitors تبعهم، ثم بنتعرف على عملية
+
+516
+00:44:30,880 --> 00:44:36,740
+التقطيع للـ fibrin كيف يقطع الـ Plasmin ليهش الـ
+
+517
+00:44:36,740 --> 00:44:40,720
+fibrin وبيحولوا إلى FDBs أو Fibrin Degradation
+
+518
+00:44:40,720 --> 00:44:45,360
+Products متفق عليه؟ حد عنده سؤال؟ 
diff --git a/PL9fwy3NUQKwZk82_1AeatKVgXG0nDxlHE/yVj-48Ng0o0_raw.json b/PL9fwy3NUQKwZk82_1AeatKVgXG0nDxlHE/yVj-48Ng0o0_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..e373d852cf57fddf2a9f89098249852b8b4d7edc
--- /dev/null
+++ b/PL9fwy3NUQKwZk82_1AeatKVgXG0nDxlHE/yVj-48Ng0o0_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 4781, "start": 21.51, "end": 47.81, "text": "بسم الله الرحمن الرحيم اليوم ان شاء الله هنحكي في ال platelet disorders كنا المرة الفاتة قسمنا ال bleeding disorders الى different components ثم اتطرقنا الى ال vascular abnormalities و اليوم هنتطرق الى ال bleeding disorders related to platelet", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 45595, 20498, 16472, 13412, 16606, 21984, 8032, 1863, 5016, 4117, 1829, 8978, 2423, 3403, 15966, 20261, 9122, 8315, 9673, 25720, 27188, 9307, 3660, 12174, 38251, 8315, 2423, 19312, 20261, 2423, 7578, 819, 6677, 38637, 2304, 1975, 2655, 9566, 2288, 4587, 8315, 2423, 7578, 2423, 371, 22084, 47104, 16110, 4032, 45595, 20498, 8032, 1863, 2655, 9566, 2288, 4587, 2423, 7578, 2423, 19312, 20261, 4077, 281, 3403, 15966], "avg_logprob": -0.22717928023714767, "compression_ratio": 1.780104712041885, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 21.51, "end": 22.51, "word": "بسم", 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{"start": 371.3, "end": 372.04, "word": " لكن", "probability": 0.87646484375}, {"start": 372.04, "end": 374.74, "word": " following", "probability": 0.83984375}, {"start": 374.74, "end": 376.34, "word": " trauma", "probability": 0.95849609375}, {"start": 376.34, "end": 376.96, "word": " يعني", "probability": 0.951171875}, {"start": 376.96, "end": 377.32, "word": " بس", "probability": 0.987548828125}, {"start": 377.32, "end": 378.16, "word": " يصاب", "probability": 0.9090169270833334}, {"start": 378.16, "end": 379.0, "word": " بإيهاش", "probability": 0.94775390625}, {"start": 379.0, "end": 379.82, "word": " ب", "probability": 0.7626953125}, {"start": 379.82, "end": 380.3, "word": " trauma", "probability": 0.93701171875}, {"start": 380.3, "end": 381.24, "word": " بيصير", "probability": 0.908935546875}, {"start": 381.24, "end": 381.38, "word": " في", "probability": 0.89111328125}, {"start": 381.38, "end": 381.92, "word": " عنده", "probability": 0.93212890625}, {"start": 381.92, "end": 382.88, "word": " bleeding", "probability": 0.95068359375}], "temperature": 1.0}, {"id": 14, "seek": 41240, "start": 384.28, "end": 412.4, "text": "مابدناش ننسى أنه ال 100 ألف هي أصلا normal ولا abnormal؟ abnormal أقل من ال normal بجداش الاصل في الموضوع يا شباب أنه مدينة بنقول أنه ال normal من 150 ل450 يوم ما اتقل عن 150 نقول abnormal ونبدأ نشوف symptoms لكن وجدوا أنه", "tokens": [15042, 44510, 1863, 33599, 8717, 1863, 3794, 7578, 14739, 3224, 2423, 2319, 5551, 46538, 39896, 5551, 9381, 15040, 2710, 49429, 32847, 22807, 32847, 5551, 4587, 1211, 9154, 2423, 2710, 4724, 7435, 3215, 33599, 2423, 33546, 1211, 8978, 9673, 2407, 11242, 45367, 35186, 13412, 3555, 16758, 14739, 3224, 3714, 3215, 9957, 3660, 44945, 39648, 14739, 3224, 2423, 2710, 9154, 8451, 5296, 48957, 7251, 20498, 19446, 1975, 2655, 4587, 1211, 18871, 8451, 8717, 39648, 32847, 4032, 1863, 44510, 10721, 8717, 8592, 38688, 8332, 44381, 49610, 3215, 14407, 14739, 3224], "avg_logprob": -0.30095882002602925, "compression_ratio": 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0.5489501953125}, {"start": 398.72, "end": 399.26, "word": " بنقول", "probability": 0.8935546875}, {"start": 399.26, "end": 399.6, "word": " أنه", "probability": 0.77001953125}, {"start": 399.6, "end": 399.66, "word": " ال", "probability": 0.64990234375}, {"start": 399.66, "end": 400.06, "word": " normal", "probability": 0.8740234375}, {"start": 400.06, "end": 400.42, "word": " من", "probability": 0.98681640625}, {"start": 400.42, "end": 401.14, "word": " 150", "probability": 0.89404296875}, {"start": 401.14, "end": 402.42, "word": " ل450", "probability": 0.681884765625}, {"start": 402.42, "end": 403.78, "word": " يوم", "probability": 0.982421875}, {"start": 403.78, "end": 403.9, "word": " ما", "probability": 0.83056640625}, {"start": 403.9, "end": 404.26, "word": " اتقل", "probability": 0.85009765625}, {"start": 404.26, "end": 404.4, "word": " عن", "probability": 0.96533203125}, {"start": 404.4, "end": 405.18, "word": " 150", "probability": 0.921875}, {"start": 405.18, "end": 406.54, "word": " نقول", "probability": 0.769287109375}, {"start": 406.54, "end": 407.02, "word": " abnormal", "probability": 0.8349609375}, {"start": 407.02, "end": 408.2, "word": " ونبدأ", "probability": 0.90283203125}, {"start": 408.2, "end": 408.44, "word": " نشوف", "probability": 0.99853515625}, {"start": 408.44, "end": 409.0, "word": " symptoms", "probability": 0.9228515625}, {"start": 409.0, "end": 410.46, "word": " لكن", "probability": 0.8583984375}, {"start": 410.46, "end": 411.2, "word": " وجدوا", "probability": 0.9344075520833334}, {"start": 411.2, "end": 412.4, "word": " أنه", "probability": 0.905029296875}], "temperature": 1.0}, {"id": 15, "seek": 44042, "start": 413.06, "end": 440.42, "text": "الـ Platelet لما بتقل عن 100 ألف مش من 150 بتقل عن 100 ألف تبدأ تظهر هذه المظاهر ماشي؟ which means انه احنا نحتاج إلى 100 ألف فما فوق من ال Platelet عشان تقدي وظيفة ال Hemostatic Mechanism Normal ماشي؟", "tokens": [6027, 39184, 17461, 15966, 5296, 15042, 39894, 4587, 1211, 18871, 2319, 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أقل من 150 تبدأ تظهر المظاهر لكن هنا لجوا أن أقل من 100 تبدأ تظهر المظاهر فبالتالي في range normal، range جديد سموا هذا Normal، range الجديد اللي هو Normal Hemostatic Mechanism بتقوم فيها Hemostatic Level", "tokens": [3615, 8592, 7649, 6055, 2655, 4587, 20498, 4724, 30544, 2423, 39184, 18568, 555, 2399, 30175, 1434, 21277, 37037, 15730, 15844, 6156, 4117, 25720, 5551, 29245, 3215, 5296, 8315, 3714, 9381, 9566, 1211, 5016, 10874, 16254, 3215, 7251, 2655, 30241, 4587, 39627, 24192, 6024, 116, 40294, 2288, 16247, 36520, 14739, 5551, 4587, 1211, 9154, 8451, 6055, 44510, 10721, 6055, 19913, 3224, 2288, 9673, 19913, 40294, 2288, 44381, 34105, 5296, 7435, 14407, 14739, 5551, 4587, 1211, 9154, 2319, 6055, 44510, 10721, 6055, 19913, 3224, 2288, 9673, 19913, 40294, 2288, 6156, 3555, 6027, 2655, 6027, 1829, 8978, 3613, 2710, 12399, 3613, 10874, 16254, 3215, 8608, 2304, 14407, 23758, 21277, 12399, 3613, 25724, 16254, 3215, 13672, 1829, 31439, 21277, 18568, 555, 2399, 30175, 1434, 39894, 4587, 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{"start": 453.88, "end": 454.34, "word": " تبدأ", "probability": 0.841796875}, {"start": 454.34, "end": 454.62, "word": " تظهر", "probability": 0.98486328125}, {"start": 454.62, "end": 455.18, "word": " المظاهر", "probability": 0.9879150390625}, {"start": 455.18, "end": 455.8, "word": " لكن", "probability": 0.818359375}, {"start": 455.8, "end": 456.24, "word": " هنا", "probability": 0.259765625}, {"start": 456.24, "end": 456.94, "word": " لجوا", "probability": 0.70703125}, {"start": 456.94, "end": 457.12, "word": " أن", "probability": 0.90576171875}, {"start": 457.12, "end": 457.56, "word": " أقل", "probability": 0.9895833333333334}, {"start": 457.56, "end": 457.76, "word": " من", "probability": 0.9873046875}, {"start": 457.76, "end": 458.08, "word": " 100", "probability": 0.86328125}, {"start": 458.08, "end": 458.52, "word": " تبدأ", "probability": 0.9228515625}, {"start": 458.52, "end": 458.8, "word": " تظهر", "probability": 0.998046875}, {"start": 458.8, "end": 459.34, "word": " المظاهر", "probability": 0.9952392578125}, {"start": 459.34, "end": 460.04, "word": " فبالتالي", "probability": 0.9295247395833334}, {"start": 460.04, "end": 460.24, "word": " في", "probability": 0.57275390625}, {"start": 460.24, "end": 461.0, "word": " range", "probability": 0.1705322265625}, {"start": 461.0, "end": 461.88, "word": " normal،", "probability": 0.4306640625}, {"start": 461.88, "end": 462.08, "word": " range", "probability": 0.8115234375}, {"start": 462.08, "end": 462.62, "word": " جديد", "probability": 0.98486328125}, {"start": 462.62, "end": 463.32, "word": " سموا", "probability": 0.88818359375}, {"start": 463.32, "end": 463.52, "word": " هذا", "probability": 0.97900390625}, {"start": 463.52, "end": 464.18, "word": " Normal،", "probability": 0.4737548828125}, {"start": 464.18, "end": 464.76, "word": " range", "probability": 0.345458984375}, {"start": 464.76, "end": 465.32, "word": " الجديد", "probability": 0.9845377604166666}, {"start": 465.32, "end": 465.46, "word": " 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إيش، hemostatic level و ال hemostatic level for planted هي خمسين الف فما فوق، خمسين الف فما فوق لإنه normal hemostasis required خمسين الف فما فوق", "tokens": [3615, 8592, 7649, 39896, 4117, 30767, 7578, 19446, 12174, 1211, 2655, 23275, 14407, 8608, 2304, 14407, 29538, 25124, 17082, 1211, 3224, 11933, 1829, 8592, 12399, 8636, 555, 2399, 1496, 4032, 2423, 8636, 555, 2399, 1496, 337, 17395, 39896, 16490, 2304, 3794, 9957, 27188, 6156, 15042, 6156, 30543, 12399, 16490, 2304, 3794, 9957, 27188, 6156, 15042, 6156, 30543, 5296, 28814, 1863, 3224, 2710, 8636, 555, 26632, 4739, 16490, 2304, 3794, 9957, 27188, 6156, 15042, 6156, 30543], "avg_logprob": -0.23663650806012906, "compression_ratio": 1.7151898734177216, "no_speech_prob": 0.0, "words": [{"start": 596.36, "end": 596.62, "word": "عشان", "probability": 0.9072265625}, {"start": 596.62, "end": 596.76, "word": " هيك", "probability": 0.758056640625}, {"start": 596.76, "end": 596.88, "word": " زى", "probability": 0.6673583984375}, {"start": 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bone marrow في ال mega carcinoma ماشي بيصير فيه خلل في المصنع و الخلل في المصنع قسموه إلى تلت أسباب أساسية ماشي السبب ده أولاني marrow damage أي مرض قد أي عامل دخل على ال bone marrow عمل", "tokens": [2304, 33599, 1829, 7251, 3555, 4587, 7578, 7251, 10721, 46007, 8978, 12174, 37977, 8978, 33688, 29399, 26108, 4032, 33688, 29399, 26108, 4032, 9957, 4724, 9381, 13546, 25124, 3555, 16758, 22807, 8978, 9673, 9381, 1863, 3615, 8978, 2423, 9026, 47739, 8978, 2423, 17986, 1032, 20021, 6440, 3714, 33599, 1829, 4724, 1829, 9381, 13546, 8978, 3224, 16490, 1211, 1211, 8978, 9673, 9381, 1863, 3615, 4032, 33962, 1211, 1211, 8978, 9673, 9381, 1863, 3615, 12174, 38251, 2407, 3224, 30731, 6055, 1211, 2655, 5551, 35457, 16758, 5551, 3794, 32277, 10632, 3714, 33599, 1829, 21136, 3555, 3555, 11778, 3224, 5551, 12610, 7649, 1829, 47739, 4344, 36632, 3714, 43042, 12174, 3215, 36632, 6225, 10943, 1211, 11778, 9778, 1211, 15844, 2423, 9026, 47739, 6225, 42213], "avg_logprob": -0.21389181348456054, 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لكن هذا لا يستثني وجود bleeding ناشي نتيجة ال defect لأ نتيجة ال defect في ال platelet لأنه زي ما قلت لكم ال platelet ممكن تكون في ال count", "tokens": [35457, 3555, 16712, 6027, 2655, 8978, 9122, 12984, 13546, 9154, 16247, 5016, 1829, 7649, 13412, 3555, 16758, 39894, 3555, 9566, 1211, 3615, 15844, 2423, 3403, 15966, 39894, 3555, 9566, 1211, 3615, 15844, 1207, 293, 3877, 1207, 293, 25778, 1793, 39894, 15040, 38436, 16095, 2710, 44381, 23758, 20193, 7251, 14851, 12984, 22653, 49610, 23328, 19312, 8717, 33599, 1829, 8717, 31371, 7435, 3660, 2423, 16445, 5296, 10721, 8717, 31371, 7435, 3660, 2423, 16445, 8978, 2423, 3403, 15966, 5296, 33456, 3224, 30767, 1829, 19446, 12174, 1211, 2655, 5296, 24793, 2423, 3403, 15966, 3714, 43020, 6055, 30544, 8978, 2423, 1207], "avg_logprob": -0.20006443298969073, "compression_ratio": 1.7074235807860263, "no_speech_prob": 0.0, "words": [{"start": 973.69, "end": 974.13, "word": "سبب", "probability": 0.92724609375}, {"start": 974.13, "end": 974.69, "word": 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فيها خلل بيصير فيها abnormality و هنتطلق ليها ب .. بسهولة لما في الغالب بتلاقي فيه mucosal bleeding بتشوف فيه epistaxis, menorrhea, GI bleeding كلها مظاهر يعني عامة عند أيش عند مرضى ال bleeding و trauma مش ضرورية تصير عشان تصير ال bleeding", "tokens": [20292, 3224, 37893, 22807, 6156, 3224, 24192, 16247, 2304, 13063, 4724, 1829, 9381, 13546, 8978, 11296, 16490, 1211, 1211, 4724, 1829, 9381, 13546, 8978, 11296, 47104, 1860, 4032, 8032, 29399, 9566, 1211, 4587, 32239, 11296, 4724, 4386, 4724, 3794, 3224, 12610, 3660, 5296, 15042, 8978, 6024, 118, 6027, 3555, 39894, 15040, 38436, 8978, 3224, 275, 1311, 329, 304, 19312, 39894, 8592, 38688, 8978, 3224, 2388, 468, 24633, 11, 1706, 24362, 27799, 11, 26634, 19312, 28242, 11296, 3714, 19913, 40294, 2288, 37495, 22653, 6225, 10943, 3660, 43242, 36632, 8592, 43242, 3714, 43042, 7578, 2423, 19312, 4032, 11407, 37893, 48812, 2288, 13063, 10632, 6055, 9381, 13546, 6225, 8592, 7649, 6055, 9381, 13546, 2423, 19312], "avg_logprob": -0.2876106152492287, 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"probability": 0.84716796875}], "temperature": 1.0}, {"id": 50, "seek": 147510, "start": 1452.0, "end": 1475.1, "text": "Thrombocytopenia يعني الهيبارين بيعملوا thrombocytopenia وببساطة يا شباب بيصير فيه important immunological reaction ماشي ولاحظوا انه بنسبة 1 الى 5%", "tokens": [51, 1703, 3548, 905, 4328, 15752, 654, 37495, 22653, 2423, 3224, 1829, 3555, 9640, 9957, 4724, 1829, 25957, 1211, 14407, 739, 3548, 905, 4328, 15752, 654, 46599, 3555, 3794, 41193, 3660, 35186, 13412, 3555, 16758, 4724, 1829, 9381, 13546, 8978, 3224, 1021, 13154, 4383, 5480, 3714, 33599, 1829, 4032, 15040, 5016, 19913, 14407, 16472, 3224, 44945, 35457, 3660, 502, 2423, 7578, 1025, 4], "avg_logprob": -0.24328612885437906, "compression_ratio": 1.2883435582822085, "no_speech_prob": 0.0, "words": [{"start": 1452.0, "end": 1453.4, "word": "Thrombocytopenia", "probability": 0.7907889229910714}, {"start": 1453.4, "end": 1454.4, "word": " يعني", "probability": 0.715576171875}, {"start": 1454.4, "end": 1455.74, "word": " الهيبارين", "probability": 0.7470703125}, {"start": 1455.74, "end": 1456.32, "word": " بيعملوا", "probability": 0.82685546875}, {"start": 1456.32, "end": 1457.7, "word": " thrombocytopenia", "probability": 0.8538818359375}, {"start": 1457.7, "end": 1459.92, "word": " وببساطة", "probability": 0.89814453125}, {"start": 1459.92, "end": 1460.12, "word": " يا", "probability": 0.63916015625}, {"start": 1460.12, "end": 1460.54, "word": " شباب", "probability": 0.9915364583333334}, {"start": 1460.54, "end": 1462.06, "word": " بيصير", "probability": 0.78125}, {"start": 1462.06, "end": 1462.34, "word": " فيه", "probability": 0.72265625}, {"start": 1462.34, "end": 1463.24, "word": " important", "probability": 0.755859375}, {"start": 1463.24, "end": 1464.26, "word": " immunological", "probability": 0.92333984375}, {"start": 1464.26, "end": 1465.34, "word": " reaction", "probability": 0.92919921875}, {"start": 1465.34, "end": 1467.28, "word": " ماشي", "probability": 0.8704427083333334}, {"start": 1467.28, "end": 1470.9, "word": " ولاحظوا", "probability": 0.765966796875}, {"start": 1470.9, "end": 1472.26, "word": " انه", "probability": 0.822021484375}, {"start": 1472.26, "end": 1473.14, "word": " بنسبة", "probability": 0.9300130208333334}, {"start": 1473.14, "end": 1473.58, "word": " 1", "probability": 0.650390625}, {"start": 1473.58, "end": 1474.04, "word": " الى", "probability": 0.671875}, {"start": 1474.04, "end": 1474.46, "word": " 5", "probability": 0.96142578125}, {"start": 1474.46, "end": 1475.1, "word": "%", "probability": 0.85888671875}], "temperature": 1.0}, {"id": 51, "seek": 150380, "start": 1476.0, "end": 1503.8, "text": "من المرضى اللى بياخدوا unfractionated هيبرين بيصير في عندهم thrombocytopenia بعد حوالى أسبوع او خلال الأسبوع الأول من خمسة لسبعة ايام ماشي شو اللى صار شباب ان الناس اللى اتاخد هيبرين عادي بعد أسبوع من أخد الهيبرين", "tokens": [27842, 9673, 43042, 7578, 13672, 7578, 4724, 1829, 47283, 3215, 14407, 3971, 26766, 770, 8032, 1829, 26890, 9957, 4724, 1829, 9381, 13546, 8978, 43242, 16095, 739, 3548, 905, 4328, 15752, 654, 39182, 11331, 2407, 6027, 7578, 5551, 35457, 45367, 1975, 2407, 16490, 1211, 6027, 16247, 35457, 45367, 16247, 12610, 9154, 16490, 2304, 3794, 3660, 5296, 35457, 27884, 1975, 1829, 10943, 3714, 33599, 1829, 13412, 2407, 13672, 7578, 20328, 9640, 13412, 3555, 16758, 16472, 2423, 8315, 3794, 13672, 7578, 1975, 2655, 47283, 3215, 8032, 1829, 26890, 9957, 6225, 995, 16254, 39182, 5551, 35457, 45367, 9154, 5551, 9778, 3215, 2423, 3224, 1829, 26890, 9957], "avg_logprob": -0.21526092840629873, "compression_ratio": 1.7391304347826086, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 1476.0, "end": 1476.36, "word": "من", "probability": 0.9326171875}, {"start": 1476.36, "end": 1477.48, "word": " المرضى", "probability": 0.9876302083333334}, {"start": 1477.48, "end": 1478.16, "word": " اللى", "probability": 0.9609375}, {"start": 1478.16, "end": 1478.88, "word": " بياخدوا", "probability": 0.92939453125}, {"start": 1478.88, "end": 1480.3, "word": " unfractionated", "probability": 0.7027994791666666}, {"start": 1480.3, "end": 1481.14, "word": " هيبرين", "probability": 0.57550048828125}, {"start": 1481.14, "end": 1483.04, "word": " بيصير", "probability": 0.8968505859375}, {"start": 1483.04, "end": 1483.14, "word": " في", "probability": 0.55908203125}, {"start": 1483.14, "end": 1483.68, "word": " عندهم", "probability": 0.990966796875}, {"start": 1483.68, "end": 1485.44, "word": " thrombocytopenia", "probability": 0.8184407552083334}, {"start": 1485.44, "end": 1486.06, "word": " بعد", "probability": 0.93603515625}, {"start": 1486.06, "end": 1486.96, "word": " حوالى", "probability": 0.9339599609375}, {"start": 1486.96, "end": 1487.64, "word": " أسبوع", "probability": 0.8841145833333334}, {"start": 1487.64, "end": 1488.08, "word": " او", "probability": 0.792236328125}, {"start": 1488.08, "end": 1488.58, "word": " خلال", "probability": 0.8777669270833334}, {"start": 1488.58, "end": 1489.06, "word": " الأسبوع", "probability": 0.890625}, {"start": 1489.06, "end": 1489.38, "word": " الأول", "probability": 0.839599609375}, {"start": 1489.38, "end": 1489.56, "word": " من", "probability": 0.71826171875}, {"start": 1489.56, "end": 1490.9, "word": " خمسة", "probability": 0.80047607421875}, {"start": 1490.9, "end": 1491.26, "word": " لسبعة", "probability": 0.748291015625}, {"start": 1491.26, "end": 1491.74, "word": " ايام", "probability": 0.7965494791666666}, {"start": 1491.74, "end": 1494.28, "word": " ماشي", "probability": 0.7766927083333334}, {"start": 1494.28, "end": 1494.82, "word": " شو", "probability": 0.3475341796875}, {"start": 1494.82, "end": 1494.9, "word": " اللى", "probability": 0.891845703125}, {"start": 1494.9, "end": 1495.14, "word": " صار", "probability": 0.987548828125}, {"start": 1495.14, "end": 1495.68, "word": " شباب", "probability": 0.9417317708333334}, {"start": 1495.68, "end": 1496.44, "word": " ان", "probability": 0.72509765625}, {"start": 1496.44, "end": 1496.8, "word": " الناس", "probability": 0.951171875}, {"start": 1496.8, "end": 1496.88, "word": " اللى", "probability": 0.9697265625}, {"start": 1496.88, "end": 1497.42, "word": " اتاخد", "probability": 0.69586181640625}, {"start": 1497.42, "end": 1498.46, "word": " هيبرين", "probability": 0.8231201171875}, {"start": 1498.46, "end": 1499.02, "word": " عادي", "probability": 0.9055989583333334}, {"start": 1499.02, "end": 1501.98, "word": " بعد", "probability": 0.953125}, {"start": 1501.98, "end": 1502.56, "word": " أسبوع", "probability": 0.9142252604166666}, {"start": 1502.56, "end": 1502.78, "word": " من", "probability": 0.9892578125}, {"start": 1502.78, "end": 1503.14, "word": " أخد", "probability": 0.7410481770833334}, {"start": 1503.14, "end": 1503.8, "word": " الهيبرين", "probability": 0.9447265625}], "temperature": 1.0}, {"id": 52, "seek": 153324, "start": 1504.74, "end": 1533.24, "text": "بيعني 1 إلى 5% من المرضى من الـ Thrombocytopenia تنخفض هذه النسبة إلى 1% إذا المريض أخد Low Molecular Weight Heparin Low Molecular Weight Heparin", "tokens": [3555, 40228, 22653, 502, 30731, 1025, 4, 9154, 9673, 43042, 7578, 9154, 2423, 39184, 41645, 3548, 905, 4328, 15752, 654, 6055, 1863, 9778, 5172, 11242, 29538, 28239, 35457, 3660, 30731, 502, 4, 11933, 15730, 9673, 16572, 11242, 5551, 9778, 3215, 17078, 46914, 17792, 44464, 30578, 19829, 17078, 46914, 17792, 44464, 30578, 19829], "avg_logprob": -0.2249410332373853, "compression_ratio": 1.308724832214765, "no_speech_prob": 0.0, "words": [{"start": 1504.74, "end": 1505.34, "word": "بيعني", "probability": 0.5878499348958334}, {"start": 1505.34, "end": 1506.02, "word": " 1", "probability": 0.82763671875}, {"start": 1506.02, "end": 1506.34, "word": " إلى", "probability": 0.31201171875}, {"start": 1506.34, "end": 1506.7, "word": " 5", "probability": 0.9853515625}, {"start": 1506.7, "end": 1507.3, "word": "%", "probability": 0.818359375}, {"start": 1507.3, "end": 1508.16, "word": " من", "probability": 0.97998046875}, {"start": 1508.16, "end": 1509.14, "word": " المرضى", "probability": 0.93994140625}, {"start": 1509.14, "end": 1510.12, "word": " من", "probability": 0.77099609375}, {"start": 1510.12, "end": 1513.9, "word": " الـ", "probability": 0.3411865234375}, {"start": 1513.9, "end": 1515.6, "word": " Thrombocytopenia", "probability": 0.8527425130208334}, {"start": 1515.6, "end": 1519.48, "word": " تنخفض", "probability": 0.9169921875}, {"start": 1519.48, "end": 1519.82, "word": " هذه", "probability": 0.9755859375}, {"start": 1519.82, "end": 1520.4, "word": " النسبة", "probability": 0.9640299479166666}, {"start": 1520.4, "end": 1520.64, "word": " إلى", "probability": 0.9462890625}, {"start": 1520.64, "end": 1521.08, "word": " 1", "probability": 0.974609375}, {"start": 1521.08, "end": 1521.8, "word": "%", "probability": 0.970703125}, {"start": 1521.8, "end": 1525.18, "word": " إذا", "probability": 0.93359375}, {"start": 1525.18, "end": 1525.74, "word": " المريض", "probability": 0.951171875}, {"start": 1525.74, "end": 1526.36, "word": " أخد", "probability": 0.8385416666666666}, {"start": 1526.36, "end": 1527.8, "word": " Low", "probability": 0.488037109375}, {"start": 1527.8, "end": 1528.48, "word": " Molecular", "probability": 0.790771484375}, {"start": 1528.48, "end": 1528.82, "word": " Weight", "probability": 0.91748046875}, {"start": 1528.82, "end": 1529.36, "word": " Heparin", "probability": 0.79345703125}, {"start": 1529.36, "end": 1531.44, "word": " Low", "probability": 0.767578125}, {"start": 1531.44, "end": 1532.08, "word": " Molecular", "probability": 0.9189453125}, {"start": 1532.08, "end": 1532.72, "word": " Weight", "probability": 0.96435546875}, {"start": 1532.72, "end": 1533.24, "word": " Heparin", "probability": 0.977294921875}], "temperature": 1.0}, {"id": 53, "seek": 156569, "start": 1536.89, "end": 1565.69, "text": "و بيحدث الغريب في الأمر يا شباب ان المريض اللى بياخد الهيبارين بياخد ايش؟ بياخد الهيبارين عشان يعمل anticoagulation صح؟ لكن وجدوا انه في نسبة واحد خمسين فمية من المرضى ممكن يصير عندهم thrombotic complication و ببساطة", "tokens": [2407, 4724, 1829, 24401, 12984, 6024, 118, 16572, 3555, 8978, 16247, 29973, 35186, 13412, 3555, 16758, 16472, 9673, 16572, 11242, 13672, 7578, 4724, 1829, 47283, 3215, 2423, 3224, 1829, 3555, 9640, 9957, 4724, 1829, 47283, 3215, 1975, 1829, 8592, 22807, 4724, 1829, 47283, 3215, 2423, 3224, 1829, 3555, 9640, 9957, 6225, 8592, 7649, 7251, 25957, 1211, 2511, 2789, 559, 2776, 20328, 5016, 22807, 44381, 49610, 3215, 14407, 16472, 3224, 8978, 8717, 35457, 3660, 36764, 24401, 16490, 2304, 3794, 9957, 6156, 2304, 10632, 9154, 9673, 43042, 7578, 3714, 43020, 7251, 9381, 13546, 43242, 16095, 739, 3548, 9411, 1209, 8758, 4032, 4724, 3555, 3794, 41193, 3660], "avg_logprob": -0.18988095351627896, "compression_ratio": 1.7014218009478672, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1536.89, "end": 1537.33, "word": "و", "probability": 0.830078125}, {"start": 1537.33, "end": 1538.61, "word": " بيحدث", 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"temperature": 1.0}, {"id": 80, "seek": 232350, "start": 2298.02, "end": 2323.5, "text": "platelet transfusion are only used for life threatening conditions بمعنى فى حالات فقط إنقاذ حياة بتاعة Platelet ليش مابتعطيش Platelet الشباب؟ بيعملوا بقى continuous production لل antibody شو يعني ايه؟ يعني فى ال Platelet لو اديت Platelet ال antibody جاهزة ينهى", "tokens": [39975, 15966, 22666, 5704, 366, 787, 1143, 337, 993, 20768, 4487, 4724, 2304, 3615, 1863, 7578, 6156, 7578, 11331, 6027, 9307, 6156, 47432, 36145, 4587, 45636, 11331, 25528, 3660, 39894, 995, 27884, 17461, 15966, 32239, 8592, 3714, 16758, 2655, 3615, 9566, 1829, 8592, 17461, 15966, 25124, 3555, 16758, 22807, 4724, 1829, 25957, 1211, 14407, 4724, 4587, 7578, 10957, 4265, 24976, 34507, 13412, 2407, 37495, 22653, 1975, 1829, 3224, 22807, 37495, 22653, 6156, 7578, 2423, 17461, 15966, 45164, 1975, 16254, 2655, 17461, 15966, 2423, 34507, 10874, 40294, 11622, 3660, 7251, 1863, 3224, 7578], "avg_logprob": -0.3531586008687173, 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بقى", "probability": 0.474853515625}, {"start": 2314.02, "end": 2314.42, "word": " continuous", "probability": 0.1402587890625}, {"start": 2314.42, "end": 2315.46, "word": " production", "probability": 0.943359375}, {"start": 2315.46, "end": 2315.7, "word": " لل", "probability": 0.94921875}, {"start": 2315.7, "end": 2316.16, "word": " antibody", "probability": 0.4130859375}, {"start": 2316.16, "end": 2317.56, "word": " شو", "probability": 0.784423828125}, {"start": 2317.56, "end": 2317.8, "word": " يعني", "probability": 0.87646484375}, {"start": 2317.8, "end": 2318.58, "word": " ايه؟", "probability": 0.75506591796875}, {"start": 2318.58, "end": 2319.14, "word": " يعني", "probability": 0.843017578125}, {"start": 2319.14, "end": 2319.52, "word": " فى", "probability": 0.789306640625}, {"start": 2319.52, "end": 2320.24, "word": " ال", "probability": 0.32958984375}, {"start": 2320.24, "end": 2320.8, "word": " Platelet", "probability": 0.7086181640625}, {"start": 2320.8, "end": 2321.0, 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"probability": 0.95947265625}, {"start": 3206.43, "end": 3206.97, "word": " time", "probability": 0.8740234375}, {"start": 3206.97, "end": 3207.79, "word": " اللي", "probability": 0.858154296875}, {"start": 3207.79, "end": 3208.15, "word": " علاقة", "probability": 0.8590494791666666}, {"start": 3208.15, "end": 3208.79, "word": " بالair", "probability": 0.65869140625}, {"start": 3208.79, "end": 3210.19, "word": " 100", "probability": 0.2452392578125}, {"start": 3210.19, "end": 3210.57, "word": "%", "probability": 0.89404296875}, {"start": 3210.57, "end": 3210.89, "word": " عشان", "probability": 0.9845377604166666}, {"start": 3210.89, "end": 3211.03, "word": " هيك", "probability": 0.987060546875}, {"start": 3211.03, "end": 3211.33, "word": " ممكن", "probability": 0.97705078125}, {"start": 3211.33, "end": 3211.53, "word": " يكون", "probability": 0.960205078125}, {"start": 3211.53, "end": 3211.93, "word": " normal", "probability": 0.86328125}, {"start": 3211.93, "end": 3212.13, "word": " or", "probability": 0.80126953125}, {"start": 3212.13, "end": 3212.83, "word": " abnormal", "probability": 0.88134765625}, {"start": 3212.83, "end": 3214.13, "word": " في", "probability": 0.93505859375}, {"start": 3214.13, "end": 3214.67, "word": " هذه", "probability": 0.91015625}, {"start": 3214.67, "end": 3215.99, "word": " الأحوال", "probability": 0.9810791015625}, {"start": 3215.99, "end": 3216.79, "word": " حد", "probability": 0.6856689453125}, {"start": 3216.79, "end": 3216.99, "word": " عنده", "probability": 0.73974609375}, {"start": 3216.99, "end": 3219.33, "word": " سؤال؟", "probability": 0.8819580078125}, {"start": 3219.33, "end": 3220.23, "word": " حد", "probability": 0.9853515625}, {"start": 3220.23, "end": 3220.43, "word": " عنده", "probability": 0.9580078125}, {"start": 3220.43, "end": 3220.63, "word": " سؤال", "probability": 0.9972330729166666}, {"start": 3220.63, "end": 3224.73, "word": " شبهه؟", "probability": 0.8408203125}, {"start": 3224.73, "end": 3225.37, "word": " طيب", "probability": 0.89453125}, {"start": 3225.37, "end": 3225.81, "word": " يعطيكوا", "probability": 0.7489013671875}, {"start": 3225.81, "end": 3226.05, "word": " العافية", "probability": 0.6153157552083334}, {"start": 3226.05, "end": 3226.35, "word": " المرة", "probability": 0.913330078125}, {"start": 3226.35, "end": 3226.61, "word": " الجاية", "probability": 0.8497721354166666}, {"start": 3226.61, "end": 3226.75, "word": " ان", "probability": 0.66162109375}, {"start": 3226.75, "end": 3226.91, "word": " شاء", "probability": 0.96240234375}, {"start": 3226.91, "end": 3226.99, "word": " الله", "probability": 0.96142578125}], "temperature": 1.0}, {"id": 113, "seek": 322872, "start": 3227.92, "end": 3228.72, "text": "هنحكي في الـ Laboratory", "tokens": [3224, 1863, 5016, 4117, 1829, 8978, 2423, 39184, 40824], "avg_logprob": -0.39179686903953553, "compression_ratio": 0.8048780487804879, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 3227.92, "end": 3228.28, "word": "هنحكي", "probability": 0.7935791015625}, {"start": 3228.28, "end": 3228.36, "word": " في", "probability": 0.84716796875}, {"start": 3228.36, "end": 3228.56, "word": " الـ", "probability": 0.61669921875}, {"start": 3228.56, "end": 3228.72, "word": " Laboratory", "probability": 0.5244140625}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 3235.56125, "duration_after_vad": 2999.6043749999885}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZk82_1AeatKVgXG0nDxlHE/zhr7lK3O48o.srt b/PL9fwy3NUQKwZk82_1AeatKVgXG0nDxlHE/zhr7lK3O48o.srt
new file mode 100644
index 0000000000000000000000000000000000000000..6822e90f78e6525876902a0d7d9cda76c41c827e
--- /dev/null
+++ b/PL9fwy3NUQKwZk82_1AeatKVgXG0nDxlHE/zhr7lK3O48o.srt
@@ -0,0 +1,2543 @@
+1
+00:00:20,820 --> 00:00:24,280
+بسم الله الرحمن الرحيم المرة اللي فاتت بدأنا نحكي
+
+2
+00:00:24,280 --> 00:00:30,500
+على الـ vascular blood vessels وشوفنا
+
+3
+00:00:30,500 --> 00:00:33,460
+دور أول شي شوفنا تركيبة الـ blood vessels وعرفنا أن
+
+4
+00:00:33,460 --> 00:00:38,540
+في تلاتة layers للـ blood vessels هي تونيكا انتما
+
+5
+00:00:38,540 --> 00:00:45,280
+و ثم ميدية ثم الـventi  ده وقولنا من أهم هذه
+
+6
+00:00:45,280 --> 00:00:48,680
+الطبقات هي الطبقة الملامسة للدم وهي الطبقة
+
+7
+00:00:58,520 --> 00:01:04,340
+بتفرز نوعين من المواد نوع Anti-coagulant ونوع Pro
+
+8
+00:01:04,340 --> 00:01:08,220
+-coagulant اليوم
+
+9
+00:01:08,220 --> 00:01:11,640
+إن شاء الله هنشوف هذه الأنواع اللي Anti-coagulant
+
+10
+00:01:11,640 --> 00:01:16,200
+والـ Pro-coagulant هنتعرف على مصدرها من وين تيجي
+
+11
+00:01:16,200 --> 00:01:21,330
+هذه المواد ثم هنتعرف على الـ mechanism of formation
+
+12
+00:01:21,330 --> 00:01:25,910
+كيف تتكون ثم الـ mode of action كيف .. ماذا تعمل ..
+
+13
+00:01:25,910 --> 00:01:32,090
+ماذا air تعمل إنما الهدف الأساسي هو أن هذه الخلايا
+
+14
+00:01:32,090 --> 00:01:36,710
+بتفرز مادتين أو نوعين من المواد هي anticoagulant
+
+15
+00:01:36,710 --> 00:01:40,170
+proteins وهذا بيؤكد قاعدة قلناها المرة اللي فاتت
+
+16
+00:01:40,170 --> 00:01:45,150
+في المحاضرة اللي فاتت أن هذه الطبقة هي عبارة عن
+
+17
+00:01:45,150 --> 00:01:49,130
+non-thrombogenic areaفي الوضع الطبيعي هي non
+
+18
+00:01:49,130 --> 00:01:53,970
+-thrombogenic لكنها تتحول إلى thrombogenic upon
+
+19
+00:01:53,970 --> 00:02:00,970
+damage لما يصير لها damaging تتحول من non
+
+20
+00:02:00,970 --> 00:02:04,250
+-thrombogenic إلى thrombogenic عشان هيك تمتلك هي
+
+21
+00:02:04,250 --> 00:02:08,390
+هذه الخاصية أنه مرات في الوضع الطبيعي بتفرز مواد
+
+22
+00:02:08,390 --> 00:02:12,310
+بتشغل as anticoagulant ثم في الوضع الغير طبيعي
+
+23
+00:02:12,310 --> 00:02:19,500
+بتفرز مواد بتشغل as procoagulant، مظبوط؟ مشي من هذه
+
+24
+00:02:19,500 --> 00:02:23,440
+الموال نشوف هي normal endothelia بمعنى undamaged
+
+25
+00:02:23,440 --> 00:02:27,320
+بمعنى undamaged ماصر اللي هي damaging normal
+
+26
+00:02:27,320 --> 00:02:30,380
+endothelia يعني في الوضع الطبيعي هتفلز
+
+27
+00:02:30,380 --> 00:02:32,800
+anticoagulant لأنها non-thrombogenic مظبوط
+
+28
+00:02:32,800 --> 00:02:36,700
+generally induce vascular relaxation تعمل
+
+29
+00:02:36,700 --> 00:02:40,500
+relaxation of blood vessels and anti-clotting
+
+30
+00:02:43,770 --> 00:02:49,550
+Androtrombosis يعني ترمبوجينيك من هذه المواد هي
+
+31
+00:02:49,550 --> 00:02:54,890
+الـ Nitric Oxide والـ Prostacyclin والـ Indothelium
+
+32
+00:02:54,890 --> 00:02:59,510
+-derived hyperpolarizing factor وهنتعرف عليهم و
+
+33
+00:02:59,510 --> 00:03:03,210
+كما قلت لكم مصادرهم كيف يتكونوا وماذا يعملوا ماشي
+
+34
+00:03:03,210 --> 00:03:09,870
+ونبدأ بأول هذه المواد وهي الـ Nitric Oxide
+
+35
+00:03:13,100 --> 00:03:18,940
+بشكل اندوثيليام وليس فقط بشكل اندوثيليام، بشكل
+
+36
+00:03:18,940 --> 00:03:20,580
+اندوثيليام، بشكل اندوثيليام وليس فقط بشكل
+
+37
+00:03:20,580 --> 00:03:22,980
+اندوثيليام وليس فقط بشكل اندوثيليام وليس فقط بشكل
+
+38
+00:03:22,980 --> 00:03:25,900
+اندوثيليام وليس فقط بشكل اندوثيليام وليس فقط بشكل
+
+39
+00:03:25,900 --> 00:03:26,900
+اندوثيليام وليس فقط بشكل اندوثيليام وليس فقط بشكل
+
+40
+00:03:26,900 --> 00:03:32,320
+اندوثيليام وليس فقط بشكل اندوثيليام وليس فقط بشكل
+
+41
+00:03:32,320 --> 00:03:38,900
+اندوثيليام وليس فقط بشكل اندوثيليام
+
+42
+00:03:38,900 --> 00:03:43,580
+وطبيعي يلهم بعض الصفات بتشتغل زي الـ Oxygen
+
+43
+00:03:43,580 --> 00:03:45,940
+Metabolite والـ Oxygen Metabolite كلهم بتلعب في
+
+44
+00:03:45,940 --> 00:03:49,720
+Radical Compounds وبتلعب دور كبير ك Anti
+
+45
+00:03:49,720 --> 00:03:54,240
+-inflammatory product Anti-inflammatory product
+
+46
+00:03:54,240 --> 00:03:59,320
+What they do؟ نمرا واحد Vascular Smooth Muscle
+
+47
+00:03:59,320 --> 00:04:02,800
+Relaxation احنا قلنا طبعا في محافظة الـ slide اللي
+
+48
+00:04:02,800 --> 00:04:06,220
+جابناها بيصير في .. في Relaxation Smooth Muscle
+
+49
+00:04:06,220 --> 00:04:10,560
+Relaxation and Vasodilatation and Vasodilatation
+
+50
+00:04:11,200 --> 00:04:16,280
+والكلام هذا بتل من خلال القاتى بزيد الـ Cyclic GMP
+
+51
+00:04:16,280 --> 00:04:19,440
+Cyclic
+
+52
+00:04:19,440 --> 00:04:26,180
+GMP يا شباب كلكم بتعرفوا هي عبارة عن مادة بتفرز
+
+53
+00:04:26,180 --> 00:04:28,800
+بتلعب دور كبير في التحكم في كمية الـ calcium في
+
+54
+00:04:28,800 --> 00:04:33,160
+الجسم في الخلية نفسها وبالتالي بتلعب دور كبير في
+
+55
+00:04:33,160 --> 00:04:38,540
+من خلال هذه الخاصية بوظائفها الحيوية هتشوف كيف هي
+
+56
+00:04:38,540 --> 00:04:42,020
+تتكون ونشوف الـ mechanism يعني هي بتعمل smooth
+
+57
+00:04:42,020 --> 00:04:45,720
+muscle relaxation من خلال الزيادة بالذات بتعمل
+
+58
+00:04:45,720 --> 00:04:51,120
+cyclic GMP increasing cyclic GMP بيجي من الـ ATP أو
+
+59
+00:04:51,120 --> 00:04:52,600
+من الـ cyclic
+
+60
+00:04:55,710 --> 00:05:00,350
+GTP أو من الـ GTP وبتحول لـ cyclic GMP وبالتالي
+
+61
+00:05:00,350 --> 00:05:05,110
+بيصير فياش Relaxation طبعاً في العوضاء أخرى
+
+62
+00:05:05,110 --> 00:05:08,570
+Inhibition أو Platelet Adhesion and Aggregation
+
+63
+00:05:08,570 --> 00:05:12,530
+وهذه برضه من الحاجات اللي بتلعب دور كبير في اللي
+
+64
+00:05:12,530 --> 00:05:17,230
+هو الـ Hemostatic Mechanism كمان بتمنع الـ Leukocyte
+
+65
+00:05:17,230 --> 00:05:22,510
+والـ Platelet Adhesion وإذا صار منع للـ Adhesion يعني
+
+66
+00:05:22,510 --> 00:05:27,420
+منع للـ activation صح؟ صح وبتشتغل ك antimicrobial
+
+67
+00:05:27,420 --> 00:05:31,180
+agent لأنها free radical compound بتشبه الـ oxygen
+
+68
+00:05:31,180 --> 00:05:34,580
+بتاع بولايد ك free radical والـ free radical إيش
+
+69
+00:05:34,580 --> 00:05:41,900
+بتعمل؟ تقتل تقتل، بظبط؟ تقتل طيب خلينا نشوف كيف
+
+70
+00:05:41,900 --> 00:05:48,340
+يتكون اللي هو الـ nitric oxide، هذه عبارة عن صورة
+
+71
+00:05:48,340 --> 00:05:53,180
+بتبين أن اللي هو طبقتين من الـ endothelial cells
+
+72
+00:05:53,180 --> 00:05:58,040
+مجسم مش لثلاث طبقات، الطبقة المبطنة وهي endothelia
+
+73
+00:05:58,040 --> 00:06:02,820
+وما يليها وما إياش يليها والتي تحتوي على الـ
+
+74
+00:06:02,820 --> 00:06:05,900
+smooth muscle والكل هجنيريا، مظبوط؟ مش خدنا
+
+75
+00:06:05,900 --> 00:06:10,460
+تركبته؟ في الـ endothelium وهي الطبقة المبطنة
+
+76
+00:06:10,460 --> 00:06:16,140
+للإياش، للوعاء الدموي، للـ human جاروا بيتكون الـ
+
+77
+00:06:16,140 --> 00:06:22,750
+nitric oxide وبيتكون by two mechanisms by إيش؟ by
+
+78
+00:06:22,750 --> 00:06:28,070
+two mechanisms نملا واحد ناخد الميكانيزم الأولاني
+
+79
+00:06:28,070 --> 00:06:35,030
+by under the effect of agonist إيش الـ agonist؟
+
+80
+00:06:35,030 --> 00:06:37,910
+طبعا الـ agonist هو عبارة عن receptor dependent الـ
+
+81
+00:06:37,910 --> 00:06:43,450
+agonist هي عبارة عن مادة محفزة مادة محفزة منشطة
+
+82
+00:06:43,450 --> 00:06:48,350
+ماشي مادة منشطة كده بتبت انشطت بتبت الـ receptor
+
+83
+00:06:49,420 --> 00:06:54,560
+بترتبط بإيش؟ بـ Receptor الـ R اختصار ليه؟ لـ
+
+84
+00:06:54,560 --> 00:06:59,360
+Receptors ماشي، لمين هذه الـ Receptor؟ للمادة
+
+85
+00:06:59,360 --> 00:07:04,180
+المحفظة إيش أشهر Receptor بيعمل هذا الموضوع؟ ده لو
+
+86
+00:07:04,180 --> 00:07:10,960
+فيه اللي هو Libradikinin Libradikinin
+
+87
+00:07:10,960 --> 00:07:16,730
+يا شباب يعني متها Polite مخلف من مخلفات الـ High
+
+88
+00:07:16,730 --> 00:07:19,370
+Molecular Weight Kinogen وهو واحد من مُركّبات الـ
+
+89
+00:07:19,370 --> 00:07:22,710
+Coagulation Factor هناخده إن شاء الله بالتفصيل
+
+90
+00:07:22,710 --> 00:07:27,630
+فالـ Bradykinin بيلعب دور كبير ك Agonist بيمسك في
+
+91
+00:07:27,630 --> 00:07:31,930
+الـ Receptor تبعه فشو بيعمل؟ إذا مسك، بيعمل
+
+92
+00:07:31,930 --> 00:07:37,830
+Calcium Influx Calcium Influx، فبيدخل كمية من
+
+93
+00:07:37,830 --> 00:07:40,990
+الكالسيوم دخل الكالسيوم ولا مادخلش؟ أيه دخل في
+
+94
+00:07:40,990 --> 00:07:47,010
+الحلو؟ ماشي؟ فبدخل الكالسيوم في داخل الخلية وبيزيد
+
+95
+00:07:47,010 --> 00:07:53,610
+تركيزه ولما بيزيد تركيزه automatically بيحول
+
+96
+00:07:53,610 --> 00:08:01,290
+الـ Arginine إلى Nitric Oxide تحت تأثير أو بواسطة
+
+97
+00:08:01,290 --> 00:08:08,270
+إنزايم وهو Setoplasmic Nitric Oxide Synthesis إيش
+
+98
+00:08:08,270 --> 00:08:15,340
+اختصار هذا الـ NOS؟  C لـ Cytoplasmic يعني موجود في
+
+99
+00:08:15,340 --> 00:08:21,280
+الـ Cytoplasm تبع مين؟ تبع الخليل Nitric Oxide نحن
+
+100
+00:08:21,280 --> 00:08:26,940
+نقول إننا سنعمل إيه؟ Nitric Oxide Synthetase بيكون
+
+101
+00:08:26,940 --> 00:08:32,380
+هو إنزيم يعمل على تكوين Nitric Oxide بيحول
+
+102
+00:08:32,380 --> 00:08:37,000
+الـ Arginine وهو من وسط إلى مين؟ إلى Nitric Oxide
+
+103
+00:08:37,000 --> 00:08:42,320
+مفهوم شباب؟ هذا الميكانيزم الأولاني اللي بيتكون من
+
+104
+00:08:42,320 --> 00:08:49,780
+خلاله الـ Natric Oxide الميكانيزم الثاني هو القاتل
+
+105
+00:08:49,780 --> 00:08:55,260
+.. under inflammatory influence في حالات موجودة
+
+106
+00:08:55,260 --> 00:08:59,260
+inflammatory يا شباب في release of inflammatory
+
+107
+00:08:59,260 --> 00:09:06,390
+cytokine، inflammation عشان، شو بتعملها دي؟ يعني في
+
+108
+00:09:06,390 --> 00:09:09,690
+الـ inflammation غالبا في inflammatory cytokine
+
+109
+00:09:09,690 --> 00:09:17,150
+which increase the blood flow shearing forces إيش
+
+110
+00:09:17,150 --> 00:09:21,330
+الـ shearing forces؟ هي القوة دافعة للدم في الوعاء
+
+111
+00:09:21,330 --> 00:09:26,830
+الدموي، ماشي؟ لما بيصير في قوة دافعة بتزيد، شو
+
+112
+00:09:26,830 --> 00:09:31,890
+بيصير؟ احتكاك بيزيد، صح؟ الطبقة المبطنة بتتأثر ولا
+
+113
+00:09:31,890 --> 00:09:34,530
+لا بتتأثر؟ بتتأثر، ماشي؟
+
+114
+00:09:39,250 --> 00:09:45,490
+الإنزايم ده الميكانيزم اللي بيحول الارجينين لمين؟
+
+115
+00:09:45,490 --> 00:09:49,510
+لنيتريك أكسيد لنيتريك أكسيد وبالتالي النيتريك
+
+116
+00:09:49,510 --> 00:09:53,790
+أكسيد أما بتكون by the first ميكانيزم اللي مقبرة
+
+117
+00:09:53,790 --> 00:09:58,970
+عن الـ receptor agonist ميكانيزم هو أما بتكون by
+
+118
+00:09:58,970 --> 00:10:03,890
+increasing the shearing forces of blood flow ماشي؟
+
+119
+00:10:03,890 --> 00:10:09,890
+تكون نيتريك أكسيد في داخل الـ endothelial cells حد
+
+120
+00:10:09,890 --> 00:10:15,410
+اندوسورانك طبعا دلان يا شباب متى متحول ..كول في
+
+121
+00:10:15,410 --> 00:10:21,850
+الطبقة الملامسة بيسير diffusing وين للطبقة اللي
+
+122
+00:10:21,850 --> 00:10:25,590
+تحته بيسير الـ diffusing لوين للطبقة اللي تحته
+
+123
+00:10:25,590 --> 00:10:29,190
+فبنزل على الطبقة الثانية اللي هي فيها smooth
+
+124
+00:10:29,190 --> 00:10:35,130
+muscle شو بيعمل؟ بيعمل relaxation بيعمل التخاء
+
+125
+00:10:35,130 --> 00:10:38,850
+بيعمل inhibition للـ proliferation of smooth muscle 
+
+126
+00:10:38,850 --> 00:10:44,130
+cell and stasis وبالتالي بيصير relaxation شو
+
+127
+00:10:44,130 --> 00:10:48,710
+بيصير؟ relaxation ماشي فبصير smooth muscle 
+
+128
+00:10:48,710 --> 00:10:54,190
+relaxation of vasodilatation مفهوم يا شباب؟ أعيد
+
+129
+00:10:54,190 --> 00:11:02,650
+ثاني أعيد ماشي ماشي خليكم معايا على السريع هذه
+
+130
+00:11:02,650 --> 00:11:06,520
+الطبقة البطانية وهي عبارة عن endothelial cell مثل
+
+131
+00:11:06,520 --> 00:11:11,240
+تكوين الـ Nitric Oxide في داخلها By two mechanisms،
+
+132
+00:11:11,240 --> 00:11:15,200
+الـ Mechanism الأولاني هو عبارة عن ما Nitric Oxide
+
+133
+00:11:15,200 --> 00:11:18,740
+أو Agonist Receptor Mechanism، والـ Agonist في هذه
+
+134
+00:11:18,740 --> 00:11:23,900
+الحالة هو عبارة عن مين؟ الـBody كائن اللي بيمسك في
+
+135
+00:11:23,900 --> 00:11:29,640
+الـ Receptor، فبعمل Calcium Influx، بيدخل كمية،
+
+136
+00:11:29,640 --> 00:11:33,400
+مدود الكالسيوم في داخل الخلية، متى يزيد الكالسيوم
+
+137
+00:11:33,400 --> 00:11:38,710
+في داخل الخلية، بيحول ال Arginine إلى Nitric Oxide
+
+138
+00:11:38,710 --> 00:11:45,770
+By Enzyme ايش ال Enzyme؟ هو Cytoplasmic Nitric
+
+139
+00:11:45,770 --> 00:11:53,070
+Oxide Synthase ميكانيزم الثاني بنزود
+
+140
+00:11:53,070 --> 00:11:57,750
+قلنا اللي هو ال shearing force of blood flow في أي
+
+141
+00:11:57,750 --> 00:12:02,550
+حالة في حالة ال inflammatory reaction شو بيصير؟
+
+142
+00:12:02,990 --> 00:12:07,350
+Inflammatory cytokine بتزود ال shearing force متى
+
+143
+00:12:07,350 --> 00:12:10,650
+ما زادت ال shearing force اللي هي القوة الدافعة قلنا
+
+144
+00:12:10,650 --> 00:12:15,750
+بيصير فيه تنشيط لـ أو تكوين لـ Nitric oxide
+
+145
+00:12:15,750 --> 00:12:19,790
+من ال L-Arginine كيف بتنشط ال Nitric oxide mechanism
+
+146
+00:12:19,790 --> 00:12:24,350
+أخذتوا ميكانيزم هذا في أكثر من مكان بس هو عبارة عن
+
+147
+00:12:24,350 --> 00:12:28,210
+signal transduction ميكانيزم ال Arginine بيتحول ل
+
+148
+00:12:28,210 --> 00:12:33,200
+إيه؟ لتحول ل Nitric oxide سؤال كان بهذا أو بهذا
+
+149
+00:12:33,200 --> 00:12:37,020
+الميكانيزم تحوّل ال NO شو بيصير له؟ بيصير له
+
+150
+00:12:37,020 --> 00:12:42,140
+diffusion وين؟ على الطبقة التي تليها فيه في مين؟
+
+151
+00:12:42,140 --> 00:12:46,600
+في الوعاء الدموي blood vessel نفسه و هناك يا شباب
+
+152
+00:12:46,600 --> 00:12:51,700
+بعمل smooth muscle relaxation كيف تتم هذه
+
+153
+00:12:51,700 --> 00:12:56,700
+العملية؟ يجيه بميكانيزم ثاني ايش هو؟ أيوة نترك
+
+154
+00:12:56,700 --> 00:13:03,820
+Nitric oxide بنشط إنزيم اسمه Guanylate Cyclase أخذته
+
+155
+00:13:03,820 --> 00:13:12,000
+Guanylate Cyclase
+
+156
+00:13:12,000 --> 00:13:15,620
+إنزيم
+
+157
+00:13:15,620 --> 00:13:24,900
+شو بيعمل؟ بيحول الـ GTP Guanosine Triphosphate إلى
+
+158
+00:13:24,900 --> 00:13:32,920
+Cyclic GMP إلى ايش؟ إلى Cyclic GMP وهذا ايش بيعمل؟
+
+159
+00:13:32,920 --> 00:13:36,120
+بيعمل muscle relaxation لأنه بيعمل inhibition لل
+
+160
+00:13:36,120 --> 00:13:40,600
+smooth muscle cell proliferation وبيعمل stasis
+
+161
+00:13:40,600 --> 00:13:45,480
+وبالتالي بيعمل ايش؟ relaxation في ال slide اللي
+
+162
+00:13:45,480 --> 00:13:50,060
+جايبنها قلنا بس الخطوة الأخيرة أنه ال Nitric oxide
+
+163
+00:13:50,060 --> 00:13:56,590
+بيزود مين؟ الـ Cyclic GMP صح؟ بيزيد الـ Cyclic GMP
+
+164
+00:13:56,590 --> 00:13:59,610
+وبالتالي بيعمل smooth muscle relaxation هانا
+
+165
+00:13:59,610 --> 00:14:03,490
+تفاصيل الميكانيزم المفصل، مفهوم يا شباب؟ حد عنده
+
+166
+00:14:03,490 --> 00:14:12,010
+سؤال؟ طيب، خلّيني ألخّص ما هي صفات الـ Nitric
+
+167
+00:14:12,010 --> 00:14:17,330
+Oxide ووظائفه انتبهوا، الصفات دي اللي مش موجودة
+
+168
+00:14:17,330 --> 00:14:21,370
+عندكم، ماشي؟ بتبقوا مع السريعة Nitric Oxide، أيوة
+
+169
+00:14:21,940 --> 00:14:26,640
+بنبي أحد أنهيبت Platelets
+
+170
+00:14:26,640 --> 00:14:33,260
+and leukocytes adhesion to endothelial cells بيمنع
+
+171
+00:14:33,260 --> 00:14:37,680
+ال adhesion لل Platelet و لل إياج و لل leukocyte
+
+172
+00:14:37,680 --> 00:14:44,580
+Chemotaxis and adhesion وبالتالي متى ما نمنع ال
+
+173
+00:14:44,580 --> 00:14:48,980
+adhesion يعني منع ال activation مفهوم يا شباب؟ يعني
+
+174
+00:14:48,980 --> 00:14:55,350
+فش هي aggregation لل Platelet نمرة اثنين أنهيبت
+
+175
+00:14:55,350 --> 00:15:02,530
+الـplatelet aggregation نمرة ثلاثة it facilitates
+
+176
+00:15:02,530 --> 00:15:07,410
+the dissolution of small platelet aggregates
+
+177
+00:15:07,410 --> 00:15:12,350
+مجموعات قليلة من الـplatelet أول ما تبدأ تتجلط
+
+178
+00:15:12,350 --> 00:15:15,870
+تتجلط على شكل مجموعات قليلة من حتة ما تتجلط أول
+
+179
+00:15:15,870 --> 00:15:21,760
+ما تبدأ تتجلط يفكفك فيها يفكفك فيها مع ذلك
+
+180
+00:15:21,760 --> 00:15:25,480
+الـ Nitric Oxide يؤثر على الـ Fibrinolytic
+
+181
+00:15:25,480 --> 00:15:30,920
+Activity ماهي الـ Fibrinolytic Activity؟ فاكرين في
+
+182
+00:15:30,920 --> 00:15:37,480
+محاضرة سابقة؟ الـ Fibrinolysis تعمل ماهي؟ Lysis
+
+183
+00:15:37,480 --> 00:15:43,200
+للفيبرين، تتحول الفيبرين لمن؟ لـ Fibrin
+
+184
+00:15:43,200 --> 00:15:49,720
+Degradation Products فتات الفيبرين، ماشي؟ الـ
+
+185
+00:15:49,720 --> 00:15:52,640
+Fibrin اللي بفتفت عكبنا ندومه هو عبارة عن الـ
+
+186
+00:15:52,640 --> 00:15:57,020
+Fibrin مدوم يعني بيدوم جلطة لأنه الـ tertiary
+
+187
+00:15:57,020 --> 00:16:01,180
+hemostasis إيش قلنا؟ بندوم الزواقد اللي صارت في
+
+188
+00:16:01,180 --> 00:16:04,740
+الجلطة وبالتالي بتكون Fibrin degradation product
+
+189
+00:16:04,740 --> 00:16:09,840
+ماشي بقى؟ طيب، شو بيعمل الـNitric Oxide؟ قالوا it
+
+190
+00:16:09,840 --> 00:16:16,280
+regulate this action بتحكم بإيش؟ بهذه الوظيفة كيف؟
+
+191
+00:16:17,990 --> 00:16:22,410
+قالوا it regulates the release of activator and
+
+192
+00:16:22,410 --> 00:16:28,430
+inhibitor لمن؟ لهذه الخطوة ايش الactivator؟ tissue
+
+193
+00:16:28,430 --> 00:16:34,070
+plasminogen activator هذا هي و ال inhibitor؟
+
+194
+00:16:34,070 --> 00:16:39,630
+plasminogen activator inhibitor number one هنجيهم
+
+195
+00:16:39,630 --> 00:16:43,190
+إن شاء الله بالتفصيل بس تحفظوهم لأن هذا هم الـ T
+
+196
+00:16:43,190 --> 00:16:48,930
+اختصار ل tissue plasminogen activator بإيه؟ اللي هو
+
+197
+00:16:48,930 --> 00:16:52,630
+tissue بلازمينوجين
+
+198
+00:16:52,630 --> 00:16:56,210
+activator
+
+199
+00:16:56,210 --> 00:17:02,750
+يعني هذا منشط ماشي لمين؟ للبلازمينوجين بلازمينوجين
+
+200
+00:17:02,750 --> 00:17:09,590
+أيش هو؟ جار ال substrate of بلازمين بلازمينوجين بتحول
+
+201
+00:17:09,590 --> 00:17:14,330
+لبلازمين لل enzyme و ال enzyme بيبدأ يشتغل على
+
+202
+00:17:14,330 --> 00:17:15,010
+الفيبرين
+
+203
+00:17:24,440 --> 00:17:28,440
+مفهومة يا شباب بالإنزيم
+
+204
+00:17:28,440 --> 00:17:30,920
+يبدأ يشتغل على هذه وبالتالي بيحاول يفرق ل fibrin
+
+205
+00:17:30,920 --> 00:17:36,740
+degradation طيب واحد عنده بتحكم بالمُنشطات
+
+206
+00:17:36,740 --> 00:17:40,580
+والمثبتات بيعمل regulation ولا بيعملش؟ بيعمل
+
+207
+00:17:40,580 --> 00:17:48,640
+regulation آخر حاجة وهذا دور أساسي صحيح ال Nitric
+
+208
+00:17:48,640 --> 00:17:52,280
+oxide control blood fluidity هو الذي يتحكم في
+
+209
+00:17:52,280 --> 00:17:59,580
+سيولة الدم هذه أثبتت من خلال فحص كلكوا سمعتوا فيه
+
+210
+00:17:59,580 --> 00:18:02,600
+هو ال bleeding time صح؟ سمعتوا بأن ال bleeding
+
+211
+00:18:02,600 --> 00:18:09,540
+time هي السرعة أو زمن النزف ماشي؟ زمن النزف اسمه
+
+212
+00:18:09,540 --> 00:18:14,400
+bleeding time واحد بنجرح وبيشوف الزمن اللي بتجلط
+
+213
+00:18:14,400 --> 00:18:19,460
+فيه أو بيصير فيه جلطة هذا اسمه زمن النزف ماشي؟
+
+214
+00:18:19,460 --> 00:18:25,950
+فهذا الفحص تشوف درسنا في وجود اللي هو الـ Nitric
+
+215
+00:18:25,950 --> 00:18:29,350
+Oxide لجناه إيش؟ الـ Nitric Oxide بيزوده، لما
+
+216
+00:18:29,350 --> 00:18:31,710
+يزوده يعني زود لـ Fluidity، يعني من الـ
+
+217
+00:18:31,710 --> 00:18:35,370
+Anticoagulant ولا لأ؟ وبالتالي زود اللي هو سيولة
+
+218
+00:18:35,370 --> 00:18:39,830
+الدم، ماشي؟ ياخده مرضى اليرنكولات، لأ لأ لأ لأ، لأ
+
+219
+00:18:39,830 --> 00:18:45,670
+مرضى التاني، ماشي؟ ده الـ Aspirin المفهوم مشابه،
+
+220
+00:18:45,670 --> 00:18:50,370
+يبقى هذا تلخيص ليش؟ للـ Function of Nitric Oxide
+
+221
+00:18:52,140 --> 00:18:56,780
+أول هذه العناصر وانظر الثاني يا شباب اللذي يفرز من
+
+222
+00:18:56,780 --> 00:19:03,340
+ال endothelial cell Prostacyclin
+
+223
+00:19:03,340 --> 00:19:08,700
+Prostacyclin يا شباب هو عبارة عن product
+
+224
+00:19:08,700 --> 00:19:12,820
+of arachidonic acid بتخيالي أخذته ال arachidonic
+
+225
+00:19:12,820 --> 00:19:17,820
+acid في ال biochemistry صح؟ بس بطلت روسكوش نسينا
+
+226
+00:19:17,820 --> 00:19:22,660
+إيه؟ شو ال arachidonic acid؟ هو عبارة عن Unsaturated
+
+227
+00:19:22,660 --> 00:19:27,820
+Fatty Acid، من أين جاء؟ بيجي من الـ Phospholipid
+
+228
+00:19:27,820 --> 00:19:31,880
+Membrane طب وين موجود ال Phospholipid Membrane؟ هو
+
+229
+00:19:31,880 --> 00:19:36,000
+معظم ... هو Membrane، ده معظم الخلايا، معظم إيش؟
+
+230
+00:19:36,000 --> 00:19:40,420
+الخلايا، مين بيحولوا ال arachidonic acid ل Phospholipid؟
+
+231
+00:19:40,420 --> 00:19:45,680
+كانوا اللي هو ال ... اللي ... اللي ... اللي ... اللي
+
+232
+00:19:45,680 --> 00:19:45,980
+... اللي ... اللي ... اللي ... اللي ... اللي ... اللي ...
+
+233
+00:19:45,980 --> 00:19:46,180
+اللي ... اللي ... اللي ... اللي ... اللي ... اللي ...
+
+234
+00:19:46,180 --> 00:19:46,220
+اللي ... اللي ... اللي ... اللي ... اللي ... اللي ...
+
+235
+00:19:46,220 --> 00:19:50,040
+اللي ... اللي ... اللي
+
+236
+00:19:50,040 --> 00:19:55,780
+... ال Phospholipase و جيت حمشوف ال mechanism بعيد ثاني
+
+237
+00:19:55,780 --> 00:20:00,360
+phospholipid
+
+238
+00:20:00,360 --> 00:20:10,560
+موجود في ال membrane of most of the cells بيشتغل
+
+239
+00:20:10,560 --> 00:20:13,580
+عليه ال phospholipase A2 بيحوله ل arachidonic acid
+
+240
+00:20:13,580 --> 00:20:18,730
+ال arachidonic acid بلعب دور كبير في as
+
+241
+00:20:18,730 --> 00:20:25,530
+anticoagulant لأن مخلفاته بتشتغل وبتلعب ك smooth
+
+242
+00:20:25,530 --> 00:20:32,790
+muscle relaxant and vasodilator كيف ... شوفوا
+
+243
+00:20:32,790 --> 00:20:37,510
+الميكانيزم هنا increase cyclic A and B هناك كان
+
+244
+00:20:37,510 --> 00:20:42,370
+يعمل increase level لcyclic G and B مظبوط؟ هذا
+
+245
+00:20:42,370 --> 00:20:46,910
+يعمل increase لcyclic A and B كيف؟ من أين بيجي ال
+
+246
+00:20:46,910 --> 00:20:51,170
+cyclic A and B؟ هذا ميكانيزم اخذته قبل هيك في ال
+
+247
+00:20:51,170 --> 00:20:58,150
+biochemistry وهو بيجي من ال ATP بيتحول ل Cyclic
+
+248
+00:20:58,150 --> 00:21:06,990
+AMP بواسطة ال adenylate cyclase enzyme صح؟ مش هذا
+
+249
+00:21:06,990 --> 00:21:10,650
+الكلام أخذته؟ من زمان من زمان وبالتالي لما بيزيد ال
+
+250
+00:21:10,650 --> 00:21:16,590
+Cyclic AMP بيعمل muscle relaxation Vasodilation 
+
+251
+00:21:17,350 --> 00:21:21,450
+بازو ديلاتيشي مظبوط وهلقيت هنشوف كيف اللي بيصير
+
+252
+00:21:21,450 --> 00:21:24,930
+كمان بعمل انهيجت platelet adhesion and aggregation
+
+253
+00:21:24,930 --> 00:21:29,610
+وبالتالي كل الوظائف يعبر عن إيه؟ anticoagulant
+
+254
+00:21:29,610 --> 00:21:35,370
+effect إلها anticoagulant effect نشوف كيف بتتم
+
+255
+00:21:35,370 --> 00:21:43,210
+تصنيع الـ prostacyclin وهذا عبارة عن ممبرين هذا
+
+256
+00:21:43,210 --> 00:21:46,830
+عبارة عن ممبرين في phospholipid
+
+257
+00:21:48,690 --> 00:21:55,470
+فهي الانزين Phospholipid Phospholipase A2 بيحول
+
+258
+00:21:55,470 --> 00:21:59,750
+الـ Phospholipid إلى Arachidonic Acid، شو حول؟
+
+259
+00:21:59,750 --> 00:22:06,090
+Phospholipid إلى Arachidonic Acid وطلّح مجموعة من
+
+260
+00:22:06,090 --> 00:22:12,490
+إياش من الـ Prostaglandin بيسموها collectively
+
+261
+00:22:12,490 --> 00:22:16,670
+endoperoxides شو بيسموها؟ endoperoxides هي عبارة
+
+262
+00:22:16,670 --> 00:22:21,550
+عن multiple intermediate products بتصير تتكون لها
+
+263
+00:22:21,550 --> 00:22:26,850
+وظائف مختلفة حسب الـ cell membrane اللي بنحكي عنه
+
+264
+00:22:26,850 --> 00:22:33,730
+لأن الـ cell membrane في الـ endothelium الـ product
+
+265
+00:22:33,730 --> 00:22:40,070
+بتختلف عن الـ platelet بتختلف عن أي خلاية أخرى الـ
+
+266
+00:22:40,070 --> 00:22:44,430
+slide اللي بعدها بتوضح الموضوع تماما ايوه ال
+
+267
+00:22:44,430 --> 00:22:49,650
+arachidonic acid تحول الى مجموعة من ايش ال
+
+268
+00:22:49,650 --> 00:22:53,830
+intermediate product اللي هي endoperoxides مين
+
+269
+00:22:53,830 --> 00:22:58,990
+حولها؟ انزايم تاني ايش اسمه؟ Cyclooxygenase
+
+270
+00:22:58,990 --> 00:23:03,970
+arachidonic acid تحول الى endoperoxide by air و
+
+271
+00:23:03,970 --> 00:23:07,930
+Cyclooxygenase وقولنا الـ phospholipid موجود في
+
+272
+00:23:07,930 --> 00:23:14,330
+cell membrane مختلفة ماشي membrane of different
+
+273
+00:23:14,330 --> 00:23:23,730
+cells خلايا مختلفة ففي الـ endothelial cell في الـ
+
+274
+00:23:23,730 --> 00:23:28,790
+endothelial cell membrane فيه انزيم اسمه
+
+275
+00:23:28,790 --> 00:23:32,590
+prostacyclin synthetase شو بيعمل؟ بيحول الـ
+
+276
+00:23:32,590 --> 00:23:38,270
+endoperoxides إلى مين؟ إلى prostacyclin I2 اللي هو
+
+277
+00:23:38,270 --> 00:23:42,110
+النوع التاني في وسط الساكتر، فيه هناك جمعة، شو
+
+278
+00:23:42,110 --> 00:23:48,490
+بيعمل؟ هذا هو، inhibits, platelet aggregation ال
+
+279
+00:23:48,490 --> 00:23:54,870
+vasodilator، بيشتغل كإيش؟ vasodilator، يبقى ال
+
+280
+00:23:54,870 --> 00:23:58,830
+endothelial إيش وظيفتها؟ normal endothelial cell
+
+281
+00:23:59,690 --> 00:24:04,250
+continuous production of prostacyclin اللي إيش
+
+282
+00:24:04,250 --> 00:24:12,830
+بيشتغل و بيعمل as بازو دايلاتر ماشي وبالتالي ال
+
+283
+00:24:12,830 --> 00:24:16,790
+general effect هي عبارة عن anticoagulant effect
+
+284
+00:24:16,790 --> 00:24:21,970
+بالمقابلة شبه في البليتليت الموضوع مختلف لأن كل
+
+285
+00:24:21,970 --> 00:24:25,950
+خلية وظيفتها مختلفة عن الأخرى في البليتليت مافي
+
+286
+00:24:25,950 --> 00:24:30,130
+prostacyclin synthetase في انزيم تاني اسمه
+
+287
+00:24:30,130 --> 00:24:36,410
+thromboxane synthetase thromboxane synthetase
+
+288
+00:24:36,410 --> 00:24:40,470
+بيحول الاندوبروكسايد الى prostate الى thromboxane
+
+289
+00:24:40,470 --> 00:24:45,890
+A2 الى ايش الى thromboxane A2 و ال thromboxane A2
+
+290
+00:24:45,890 --> 00:24:48,610
+بيحكي الاندوبروكسايد بيحكي الاندوبروكسايد بيحكي
+
+291
+00:24:48,610 --> 00:24:51,130
+الاندوبروكسايد بيحكي الاندوبروكسايد بيحكي ال
+
+292
+00:24:57,110 --> 00:25:01,290
+ما يحدث في الـ Endothelial Cystosis 100% هذا
+
+293
+00:25:01,290 --> 00:25:06,350
+الوظيفة و هذا الوظيفة فبعد اكتشاف هذا الـ ميكانيزم
+
+294
+00:25:06,350 --> 00:25:15,830
+جاء العلماء بدنا نستفيد من هذا الـ ميكانيزم كيف؟ في
+
+295
+00:25:15,830 --> 00:25:20,510
+الوضع الطبيعي دايما، الناس اللي عندهم جلطات متكررة
+
+296
+00:25:22,440 --> 00:25:26,880
+ماشي او increase the predisposition to clot
+
+297
+00:25:26,880 --> 00:25:31,600
+formation عندهم عوامل بتزود الـ .. الـ .. الامكانية
+
+298
+00:25:31,600 --> 00:25:35,160
+تحدث الجلطة يا عزيزي بدنا نديهم مواد تمنع هذه
+
+299
+00:25:35,160 --> 00:25:39,480
+الجلطة طب كيف بدنا نمنعها؟ قبل ما واجهنا ذراع من
+
+300
+00:25:39,480 --> 00:25:45,200
+هذه لأدرع و سبنا التاني يشتغل أكيد هيعمل Anti
+
+301
+00:25:45,200 --> 00:25:50,300
+-coagulation وبالفعل عملوا الـ drug اللي كلكم
+
+302
+00:25:50,300 --> 00:25:53,880
+بتعرفوه هو الـ baby aspirin baby aspirin مش بياخدوه
+
+303
+00:25:53,880 --> 00:25:58,660
+كل اخترية ليش؟ بينصح بياخدوه بعد الأربعين ليش؟
+
+304
+00:25:58,660 --> 00:26:04,100
+بيزود سيولة الدم كيف؟ كانوا بيشتغلوا فقط على ذراع
+
+305
+00:26:04,100 --> 00:26:08,160
+الـ endothelial cells sorry الـ platelet ولا يعمل
+
+306
+00:26:08,160 --> 00:26:11,180
+على ذراع الـ endothelial يعني بيخلوا .. بيسيبوا ال
+
+307
+00:26:11,180 --> 00:26:15,760
+endothelial تشتغل و بيوقفوا الـ platelet؟ نعم كيف
+
+308
+00:26:15,760 --> 00:26:22,330
+تم هذا الموضوع؟ كل اللي عملوه جمب الأسبرين بجوعات
+
+309
+00:26:22,330 --> 00:26:28,590
+مختلفة الأسبرين العادي اللي هو تركيزه 500 ميلي
+
+310
+00:26:28,590 --> 00:26:33,930
+جرام بيشتغل as Anti-inflammatory drug وبيوقف
+
+311
+00:26:33,930 --> 00:26:37,050
+الذراعين
+
+312
+00:26:37,050 --> 00:26:42,010
+بيعمل inhibition للاتنين كيف؟ ده لو بيعمل
+
+313
+00:26:42,010 --> 00:26:45,690
+inhibition للـ cyclooxygenase enzyme من فوق،
+
+314
+00:26:45,690 --> 00:26:50,560
+inhibition للـ cyclooxygenase enzyme فالتنين بيجفوا،
+
+315
+00:26:50,560 --> 00:26:54,320
+لكن احنا بدناش التنين يجفوا، بدنا واحد بس اللي هو
+
+316
+00:26:54,320 --> 00:26:59,980
+الـ platelet فبدوا يقللوا في الجرعات، جربوا جرعات
+
+317
+00:26:59,980 --> 00:27:04,980
+متباينة، متفاوتة لغاية ما وصلوا، نزلوا من خمسمائة
+
+318
+00:27:04,980 --> 00:27:08,520
+milligram إلى حوالي تمانين إلى مائة milligram اللي
+
+319
+00:27:08,520 --> 00:27:12,700
+هو سموه baby aspirin، لاجوا مشكلة على الـ platelet
+
+320
+00:27:13,280 --> 00:27:17,540
+وبشتغلش على مين؟ يعني الـ industrial بتضطر تطلع
+
+321
+00:27:17,540 --> 00:27:22,940
+Prostacycline لكن البلاي بلاي بتجف، بتقدرش تطلع
+
+322
+00:27:22,940 --> 00:27:29,560
+ايه؟ Thrombocynator يعني المريض او الإنسان اللي
+
+323
+00:27:29,560 --> 00:27:32,560
+بياخد baby aspirin انه اتخذ as a prophylactic
+
+324
+00:27:32,560 --> 00:27:38,670
+بالمناسبة بعد الأربعين يُنصح أخده كوقاية وليس كعلاج
+
+325
+00:27:38,670 --> 00:27:43,270
+كيف؟ على أساس يمنع حدوث الجلطات ايش اللي بيعمله
+
+326
+00:27:43,270 --> 00:27:47,150
+بيعطل الـ platelet اللي موجودة في الجسم لما بيعطلها
+
+327
+00:27:47,150 --> 00:27:52,670
+ماشي بيبطل ينتج الـ thromboxane A2 وبالتالي يعني
+
+328
+00:27:52,670 --> 00:27:55,690
+بيعطل هذا الميكانزم وبالتالي مايصيرش فيه platelet
+
+329
+00:27:55,690 --> 00:28:01,470
+aggregation لكن مشتغلش على الـ endothelial وبالتالي
+
+330
+00:28:01,470 --> 00:28:04,930
+الـ endothelium cell بتبتدل شغالة فبتطلع من وسط ال
+
+331
+00:28:04,930 --> 00:28:08,370
+cycling وبتطلع في anticoagulant effect عرفوه ما يا
+
+332
+00:28:08,370 --> 00:28:13,310
+شباب؟ عيد تاني؟ عيد تاني؟ لكن الدكتور الدعوات مش
+
+333
+00:28:13,310 --> 00:28:16,790
+الأثار الجانبية إذا بتاخد يعني كـ .. الـ Aspirin ك
+
+334
+00:28:16,790 --> 00:28:21,050
+Aspirin يا شباب الـ Aspirin ك Aspirin لغاية الآن
+
+335
+00:28:21,050 --> 00:28:31,590
+مافيش علاج مخترق له نسبة أمان زي الـ Aspirin عشان كل
+
+336
+00:28:31,590 --> 00:28:35,190
+العلاجات اللي اليوم بيطلعوها بيقولوا not
+
+337
+00:28:35,190 --> 00:28:37,870
+comparable to Aspirin يعني ما اتجارنهوش بالـ
+
+338
+00:28:37,870 --> 00:28:41,590
+Aspirin لأنه the safest drug لغاية الآن يعني أكثر
+
+339
+00:28:41,590 --> 00:28:49,030
+الـ drugs أمانًا ماشي ايه له بعض الـ effect على بعض
+
+340
+00:28:49,030 --> 00:28:53,590
+الـ drugs يعني الإنسان لو بياخده لحاله ما لوشش side
+
+341
+00:28:53,590 --> 00:28:57,880
+effect لكن لو أخده مع علاجات أخرى في حاجة بيسموها
+
+342
+00:28:57,880 --> 00:29:03,280
+drug-drug interaction فاناكو kinetics mechanism
+
+343
+00:29:03,280 --> 00:29:06,680
+فبيبدأ يأثر على علاجات أخرى و أهم العلاجات اللي
+
+344
+00:29:06,680 --> 00:29:09,940
+ممكن يأثر عليها هي علاجات الضغط الناس اللي بتاخد
+
+345
+00:29:09,940 --> 00:29:15,920
+الضغط و الناس اللي بتاخد العلاج للـ .. للـ .. للـ
+
+346
+00:29:15,920 --> 00:29:22,780
+uric acid اللي هو للـ gout عارف؟ انما هو safe انما
+
+347
+00:29:22,780 --> 00:29:31,710
+هو ايش؟ safe حد يندي سؤال؟ هي التاني، العنصر التاني
+
+348
+00:29:31,710 --> 00:29:37,190
+خدنا الـ Nitric Oxide و Nitric Oxide التالت هو
+
+349
+00:29:37,190 --> 00:29:43,890
+Endothelium derived hyperpolarizing factor وهو
+
+350
+00:29:43,890 --> 00:29:48,210
+عبارة عن برضه product of Endothelium that induce
+
+351
+00:29:48,210 --> 00:29:51,670
+hyperpolarization شو بتعمل؟ بتعمل
+
+352
+00:29:51,670 --> 00:29:59,340
+hyperpolarization والمحصلة relaxation vascular هذا
+
+353
+00:29:59,340 --> 00:30:03,760
+هو مصمم للتنسيق وهو
+
+354
+00:30:03,760 --> 00:30:04,240
+مصمم للتنسيق وهو مصمم للتنسيق وهو مصمم للتنسيق وهو
+
+355
+00:30:04,240 --> 00:30:05,580
+مصمم للتنسيق وهو مصمم للتنسيق وهو مصمم للتنسيق وهو
+
+356
+00:30:05,580 --> 00:30:09,880
+مصمم للتنسيق وهو مصمم للتنسيق وهو مصمم للتنسيق وهو
+
+357
+00:30:09,880 --> 00:30:12,560
+مصمم للتنسيق وهو مصمم للتنسيق وهو مصمم للتنسيق وهو
+
+358
+00:30:12,560 --> 00:30:18,200
+مصمم للتنسيق وهو مصمم للتنسيق وهو مصمم للتنسيق وهو
+
+359
+00:30:18,200 --> 00:30:21,100
+مصمم للتنسيق
+
+360
+00:30:22,790 --> 00:30:25,550
+والميكانيزم الصحيح .. لغاية اليوم ماعرفش ميكانيزم
+
+361
+00:30:25,550 --> 00:30:30,690
+بالظبط كيف بيشتغل لكن .. الـ effect of .. يعني
+
+362
+00:30:30,690 --> 00:30:38,390
+نتائج وجوده .. دلوقتي involves activation of
+
+363
+00:30:38,390 --> 00:30:44,050
+potassium channels بينشط الـ potassium channels الـ
+
+364
+00:30:44,050 --> 00:30:49,050
+potassium channel and it's different from .. from
+
+365
+00:30:49,050 --> 00:30:55,470
+prostacyclin و Nitric Oxide، ميكانيزمه مختلف تماما،
+
+366
+00:30:55,470 --> 00:31:00,410
+لكن بيعمل له نفس التأثير، بيعمل Vascular and
+
+367
+00:31:00,410 --> 00:31:03,970
+Smooth Muscle Relaxation، بيعمله Vascular and
+
+368
+00:31:03,970 --> 00:31:08,570
+Smooth Muscle Relaxation، ونشوف هذا الكلاب جاليا
+
+369
+00:31:08,570 --> 00:31:11,730
+في هذه الـ slide يا شباب، هذه الـ slide برضه مش
+
+370
+00:31:11,730 --> 00:31:14,950
+موجودة عندكم، ان شاء الله بنعززكم يهتموا عليها،
+
+371
+00:31:14,950 --> 00:31:18,950
+شوفوا التلاتة شوفوا ايه ايش، التلاتة الآن، حاكينا
+
+372
+00:31:18,950 --> 00:31:22,230
+عن الاتريك أوكسايد و Prostacyte و Endothelium
+
+373
+00:31:22,230 --> 00:31:25,410
+-derived hyperbolarizing factor كيف يجوا و من وين
+
+374
+00:31:25,410 --> 00:31:31,890
+بتكون، ماشي؟ هذا الملخص Agonist، هذا اللي يتعلق عن
+
+375
+00:31:31,890 --> 00:31:36,750
+Endothelial cell، هو هذا الطبق المبطل، Agonist،
+
+376
+00:31:36,750 --> 00:31:37,650
+مسك في Receptor
+
+377
+00:31:45,240 --> 00:31:50,020
+فزوّد الكالشيوم في داخل الخلية زوّد الكالشيوم في 
+
+378
+00:31:50,020 --> 00:31:54,100
+داخل الخلية شو صار نشط ميكانيزم اسمه calcium
+
+379
+00:31:54,100 --> 00:32:01,180
+calmodulin dependent mechanism بغض النظر عن هذا
+
+380
+00:32:01,180 --> 00:32:04,980
+الموضوع انه انما الكالشيوم بدأ يرتبط ببعض
+
+381
+00:32:04,980 --> 00:32:10,880
+البروتينات اللي موجودة في الخلية وبدأ يكوّن هذه
+
+382
+00:32:10,880 --> 00:32:15,200
+المواد التلاتة الكالشيوم لما دخل شوفوا ايش عملنمر
+
+383
+00:32:15,200 --> 00:32:21,540
+واحد اشتغل على الارجينين انتبهوا عنده عشان اقول
+
+384
+00:32:21,540 --> 00:32:26,100
+الارجينين وحاولوا يقولوا نيترك اوكسايت في وجود ايش
+
+385
+00:32:26,100 --> 00:32:35,120
+نيترك اوكسايت ماشي واشتغل على بروستا يعني يكوّن
+
+386
+00:32:35,120 --> 00:32:38,500
+بروستا سايكل باياش
+
+387
+00:32:43,510 --> 00:32:48,590
+activation أو اللى هو تحويل الاراكدونك أسد بواسطة
+
+388
+00:32:48,590 --> 00:32:52,470
+الـcyclooxygenase إلى اندوبروكسايت ومفروض تساكن
+
+389
+00:32:52,470 --> 00:32:58,730
+ميكانيزم التانى اللى تاوى شوفناه واشتغل أيضا على
+
+390
+00:32:58,730 --> 00:33:05,030
+الاراكدونك أسد ماشي هايم فى وجود الستوكروم P450
+
+391
+00:33:05,030 --> 00:33:09,050
+وحوره إلى إيش إلى endothelial derived
+
+392
+00:33:09,050 --> 00:33:13,040
+hyperpolarizing fatفطبع Endothelium derived from
+
+393
+00:33:13,040 --> 00:33:18,220
+Hyperpolarizing factor مافهومش بقى، التلاتة في
+
+394
+00:33:18,220 --> 00:33:23,880
+البداية تكوموا في داخل ال Endothelium cell تحت
+
+395
+00:33:23,880 --> 00:33:31,240
+تأثير ال calcium influx، مظبوط؟ يعني شوفنا ال
+
+396
+00:33:31,240 --> 00:33:34,740
+arachidonic acid كيف اتحول ل Prostacyclin ال
+
+397
+00:33:34,740 --> 00:33:39,400
+arginine كيف اتحول ل nitric oxideثم ال arachidonic
+
+398
+00:33:39,400 --> 00:33:42,140
+acid كيف طلع انها Endothelia derived hyperpolarizing
+
+399
+00:33:42,140 --> 00:33:48,400
+factor فمافهومش بقى هذه المواد بسلها diffusing على
+
+400
+00:33:48,400 --> 00:33:53,340
+الطبقات اللي تحتها diffusing على ايه؟ طبقة اللي
+
+401
+00:33:53,340 --> 00:33:57,980
+تحتها في blood vessels فدرستها Cyclic AMP شو عمل؟
+
+402
+00:33:57,980 --> 00:34:03,240
+ايوه عمل حول ال ATP إلى Cyclic AMP بوسطة ال
+
+403
+00:34:03,240 --> 00:34:11,660
+Adenylate Cyclase شو عمل هذا؟ده نقلل الكالشيو لما
+
+404
+00:34:11,660 --> 00:34:16,720
+قلل الكالشيو نعمل Muscle relaxation فاهمين عليّ؟
+
+405
+00:34:16,720 --> 00:34:20,540
+لما قلل الكالشيو نعمل Muscle relaxation طيب، هذا
+
+406
+00:34:20,540 --> 00:34:27,060
+واحد، نبغى اتنين ال .. ال .. إيش اسمه؟ التاني ال
+
+407
+00:34:27,060 --> 00:34:27,800
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+408
+00:34:27,800 --> 00:34:28,480
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+409
+00:34:28,480 --> 00:34:28,560
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+410
+00:34:28,560 --> 00:34:29,060
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+411
+00:34:29,060 --> 00:34:29,720
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+412
+00:34:29,720 --> 00:34:30,120
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+413
+00:34:30,120 --> 00:34:35,750
+.. ال .. ال .. ال .. ال ..الى Cyclic GMP بواسطة
+
+414
+00:34:35,750 --> 00:34:40,310
+Soluble Guanylate Cyclase enzyme قلل الكالسيوم ايش
+
+415
+00:34:40,310 --> 00:34:46,310
+عمل هذا؟ قلل الكالسيوم وعمل Smooth muscle
+
+416
+00:34:46,310 --> 00:34:51,590
+relaxation والتالت اشتغل على Potassium channel
+
+417
+00:34:51,590 --> 00:34:55,530
+ماشي؟ شو عمل؟ هو ال Potassium بطلع من الخلية و لا
+
+418
+00:34:55,530 --> 00:35:01,970
+بيخش؟ بطلع عمل Hyperpolarization وهذا قلل الكالسيوم
+
+419
+00:35:02,440 --> 00:35:08,140
+ولمّا قلل الكالشيون، فهمين الشباب، أي ملخص للتلاتة
+
+420
+00:35:08,140 --> 00:35:13,200
+مع بعض، ملخص لإيش؟ للتلاتة مع بعض، كلهم تكوّنوا في
+
+421
+00:35:13,200 --> 00:35:17,120
+داخل ال Endothelium cell، فمثلا لهم Diffusion،
+
+422
+00:35:17,120 --> 00:35:20,840
+تحت، قللوا الكالشيون، فعملوا Smooth muscle
+
+423
+00:35:20,840 --> 00:35:23,500
+relaxation، بغض نظر عن ميكانيزم اللي هيشكلوا، هذا
+
+424
+00:35:23,500 --> 00:35:29,680
+ميكانيزم مختلف، مفهوم؟ حد عنده سؤال؟ طب، ممتاز
+
+425
+00:35:35,180 --> 00:35:39,040
+يبقى الاندوثيليا من الهيموستاسيز Normally بتشتغل ك
+
+426
+00:35:39,040 --> 00:35:43,860
+Non-thrombogenic Normally بتشتغل ك Anticoagulant
+
+427
+00:35:43,860 --> 00:35:47,980
+صح؟ اللي هى Anticoagulant effect طيب ورث Damaged
+
+428
+00:35:47,980 --> 00:35:51,880
+ها نشوف ايش ال damaging يبثيل ال Endothelial cell
+
+429
+00:35:51,880 --> 00:35:55,940
+لما اسمها damaging Damaged Endothelium has
+
+430
+00:35:55,940 --> 00:36:00,700
+predominantly Pro-clotting properties اتحولت إلى
+
+431
+00:36:00,700 --> 00:36:08,340
+ايش؟ from Anticoagulant إلى Coagulant ماشي from anti
+
+432
+00:36:08,340 --> 00:36:12,380
+-coagulant إلى Pro-coagulant فاهمين عليها؟ لأنه
+
+433
+00:36:12,380 --> 00:36:16,320
+صدرها دمجين طب كيف هذا الكلام بيصير؟ قالوا في
+
+434
+00:36:16,320 --> 00:36:21,080
+حاجتين بيصير الحاجة الأولانية بيصير في Release لل
+
+435
+00:36:21,080 --> 00:36:25,500
+Tissue factor ال Tissue factor يا شباب تغير عن
+
+436
+00:36:25,500 --> 00:36:29,260
+مادة ممنوعة تكون في الدم ممنوعة لأنها منشرة عليه
+
+437
+00:36:29,260 --> 00:36:32,480
+ال Coagulation cascade mechanism طب وين موجودة؟
+
+438
+00:36:32,480 --> 00:36:37,240
+قالوا في ال Subendothelial layer ماشي وفي الـ
+
+439
+00:36:37,240 --> 00:36:40,460
+Endothelial باكل هي Mainly في ال Subendothelial
+
+440
+00:36:40,460 --> 00:36:44,640
+layer فيوم تنمزع ال Endothelium شو بده يتبين؟ ال
+
+441
+00:36:44,640 --> 00:36:47,140
+Subendothelium وبالتالي بتطلع Endothelium Tissue
+
+442
+00:36:47,140 --> 00:36:49,640
+factor ولا لا؟ ال Subendothelium فبتتحول إليها
+
+443
+00:36:49,640 --> 00:36:53,400
+Procoagulant بتحول لإيه؟ ل Procoagulant هي Release
+
+444
+00:36:53,400 --> 00:36:56,940
+of Tissue factor from Activated Endothelium and
+
+445
+00:36:56,940 --> 00:37:01,560
+Subendothelium يوم تتنشط يعني سلاح ال damaging
+
+446
+00:37:01,560 --> 00:37:05,540
+بتتنشط و بتطلع Tissue factor والـ Subendothelium
+
+447
+00:37:05,540 --> 00:37:09,820
+بتطلع تشوف تشوف .. مفهوم الشباب؟ و هو بتتحول
+
+448
+00:37:09,820 --> 00:37:15,020
+لبروكوهاجرانت مرتين .. بيصير في الدم يلامس طبقة
+
+449
+00:37:15,020 --> 00:37:18,860
+جديدة .. طبقة المبطنة التحتانية .. و هذه فيها
+
+450
+00:37:18,860 --> 00:37:23,180
+كلاجن .. ماشي؟ و هذه إيش؟ فيها Collagen Sub-sub ..
+
+451
+00:37:23,180 --> 00:37:27,840
+وشو بعمل الكلاجن؟ قالوا بعمل Adhesion .. لميه؟
+
+452
+00:37:27,840 --> 00:37:32,820
+للـPlatelets بعمل Adhesion لمين؟ للي Platelets ويوم
+
+453
+00:37:32,820 --> 00:37:36,120
+مالي Platelets تنمسي بتتمشي طولها، بيصير لها
+
+454
+00:37:36,120 --> 00:37:39,780
+Activation وبالتالي بيصير في Aggregation و Clot
+
+455
+00:37:39,780 --> 00:37:45,200
+Formation، يبقى تكونات تحولت الخلايا from Procoagulant
+
+456
+00:37:45,200 --> 00:37:49,880
+.. from Anticoagulant إلى Procoagulant، المفهوم الشباب
+
+457
+00:37:51,310 --> 00:37:55,470
+يبقى هيكة افهمنا ان ال Endothelium cell هي Non
+
+458
+00:37:55,470 --> 00:37:57,910
+-thrombogenic لكن لما سلها Damage بتحول لها
+
+459
+00:37:57,910 --> 00:38:01,290
+Thrombogenic ليش Non-thrombogenic Normally في
+
+460
+00:38:01,290 --> 00:38:04,530
+الوضع الطبيعي لإنها بتفرز Anticoagulant substance
+
+461
+00:38:04,530 --> 00:38:07,850
+وشوفنا ال Anticoagulant هو من وين بتيجي وكيف
+
+462
+00:38:07,850 --> 00:38:12,490
+بتشتغل ماشي؟ كيف بتتكون وكيف بتشتغل ثم ال
+
+463
+00:38:12,490 --> 00:38:17,260
+Anticoagulant شوفنا هذه الموضوع حد عنده سؤال؟ أخر
+
+464
+00:38:17,260 --> 00:38:22,560
+نقطة Collagen Collagen هناخدها ان شاء الله في التفصيل
+
+465
+00:38:22,560 --> 00:38:26,880
+الممكن في ال Primary hemostasis يوم يكون فيه Blood
+
+466
+00:38:26,880 --> 00:38:33,220
+Vessel و يسمه مزع ماشي الدم اللي ماشي هنا هينمسه
+
+467
+00:38:33,220 --> 00:38:37,620
+طبقة جديدة هذه الطبقة فيها Collagen و الدم فيه
+
+468
+00:38:37,620 --> 00:38:45,110
+Platelets و عوامل تجلد فبصير عفوان اللي هو الانطباط
+
+469
+00:38:45,110 --> 00:38:48,370
+أو بين ال Platelet domain اللي هي ال Collagen
+
+470
+00:38:48,370 --> 00:38:51,670
+substance وبالتالي بيصير فيه Procoagulant مفهوم
+
+471
+00:38:51,670 --> 00:38:58,670
+طيب خلّينا نشوف تلخيص لهذا الكلام Summary of
+
+472
+00:38:58,670 --> 00:39:03,850
+Important Vascular function نمر واحد اتفقنا على
+
+473
+00:39:03,850 --> 00:39:07,990
+انه ال Vascular Endothelium بتطلع Prostacyclin
+
+474
+00:39:07,990 --> 00:39:11,210
+وشوفنا إيش هذا إيش
+
+475
+00:39:24,650 --> 00:39:28,350
+الأولاني دلنا Vasodilation وانهيبش ايه؟ انهيبش
+
+476
+00:39:28,350 --> 00:39:32,490
+Platelet aggregation التاني Thromboxane A2 بيشتغل على ال Platelets
+
+477
+00:39:32,490 --> 00:39:35,850
+بيطلع
+
+478
+00:39:35,850 --> 00:39:42,360
+من ال Platelets وبيكون ايه؟بعمل As a constrictor و بعمل
+
+479
+00:39:42,360 --> 00:39:45,540
+Platelet aggregation بشتغل كاياش، Platelet aggregation
+
+480
+00:39:45,540 --> 00:39:51,980
+طيب، في ال Inflammatory reaction مشغولة فيه ساعته
+
+481
+00:39:51,980 --> 00:39:56,780
+القرن اللي بتطلع زي ال Endothelium ligand adhesion
+
+482
+00:39:56,780 --> 00:40:00,620
+molecules و ال Intercellular
+
+483
+00:40:02,690 --> 00:40:07,910
+Adhesion molecules يعملون Adhesion للكوسايت Adhesion
+
+484
+00:40:07,910 --> 00:40:12,550
+بلعبوا دور كبير جدا في ال Phagocytosis الشباب لإن
+
+485
+00:40:12,550 --> 00:40:19,150
+هدولا المواد بيعملوا Adhesion للكوسايت
+
+486
+00:40:19,150 --> 00:40:22,170
+ويوم ما يصير في Adhesion للكوسايت
+
+487
+00:40:24,720 --> 00:40:29,260
+بصير فيه إيش؟ بصير فيه بعد ال .. هذه أول خطوة
+
+488
+00:40:29,260 --> 00:40:32,980
+بخطوات ال إيش؟ ال Phagocytosis Adhesion لل Blood
+
+489
+00:40:32,980 --> 00:40:37,240
+Vessels و ثم بتخترق لل Blood vessels، ثم
+
+490
+00:40:37,240 --> 00:40:42,140
+Chemotaxis، بتتحرك لغاية ما تصل لل Antigen، ماشي؟
+
+491
+00:40:42,140 --> 00:40:46,480
+و هناك بتعمل Phagocytosis مهم جدا ل .. ك
+
+492
+00:40:46,480 --> 00:40:50,300
+Inflammatory response Inflammatory أو ك Immune
+
+493
+00:40:50,300 --> 00:40:53,850
+response ان ال Immune response وقبل ال Inflammatory
+
+494
+00:40:53,850 --> 00:40:59,830
+reaction، مافهومش بقى، فمهمة جدا، هذه بتصاحب هال
+
+495
+00:40:59,830 --> 00:41:06,320
+Vasoconstriction، فهمتوا عليا؟ خانص الاخر ال
+
+496
+00:41:06,320 --> 00:41:08,620
+Von Willebrand أخدناها المرة اللي فاتة Von Willebrand
+
+497
+00:41:08,620 --> 00:41:11,580
+factor هو واحد من ال Coagulation factor لما
+
+498
+00:41:11,580 --> 00:41:17,300
+قلتلكوا هذا علم ألماني و تلت في زيه شو بيعمل؟ هو
+
+499
+00:41:17,300 --> 00:41:20,720
+اللي بيمسك هو اللي بيلزق ال Platelets من ال Collagen
+
+500
+00:41:20,720 --> 00:41:24,780
+اللي توج كان عليه ال Platelets تماشي من ال Collagen
+
+501
+00:41:24,780 --> 00:41:27,400
+فبتاع اللي بيعمل ال procoagulant effect
+
+502
+00:41:31,320 --> 00:41:33,700
+أشي تاني يا شباب، tissue factor pathway inhibitor
+
+503
+00:41:33,700 --> 00:41:36,680
+برضه بيطلع من الـ endothelium cell، هذا عبارة عن
+
+504
+00:41:36,680 --> 00:41:40,420
+Anticoagulant، Inhibitor لل tissue factor، وهناخده من
+
+505
+00:41:40,420 --> 00:41:44,680
+الـ pathway قدامي، نمر عليه واللي بعدها،
+
+506
+00:41:44,680 --> 00:41:48,260
+Thrombomodulin، عبارة عن بروتين، بيطلع، اللي له دور
+
+507
+00:41:48,260 --> 00:41:52,700
+كبير كـ Anticoagulant Effect لإنه بنشط مادة بروتين
+
+508
+00:41:52,700 --> 00:41:56,240
+تاني اسمه protein C وهذا عبارة عن Naturally
+
+509
+00:41:56,240 --> 00:42:01,130
+Occurring Inhibitors بوجود كيان هرموني داخل جسم
+
+510
+00:42:01,130 --> 00:42:08,130
+الإنسان بنشطه وبيعمله anticoagulant
+
+511
+00:42:08,130 --> 00:42:12,150
+effect فما تشوف بلازمينوجين اكتفيته، مانتوا شوفتوا
+
+512
+00:42:12,150 --> 00:42:15,450
+إن الـ fibrinolytic activity الـ substrate تبعها
+
+513
+00:42:15,450 --> 00:42:20,570
+بلازمينوجين بتحول لبلازمين ماشي؟ وهذا شو بيعمل؟
+
+514
+00:42:20,570 --> 00:42:24,230
+Activation للـ fibrinolysis يعني بندوّب جلد التكتل
+
+515
+00:42:25,140 --> 00:42:27,300
+وبالتالي هذا Anticoagulant أو Procoagulant؟
+
+516
+00:42:27,300 --> 00:42:30,500
+Anticoagulant. So my Heparan sulfate and my
+
+517
+00:42:30,500 --> 00:42:34,120
+Proteoglycan هذا الهيبارين الطبيعي اللي بيتكون في
+
+518
+00:42:34,120 --> 00:42:39,240
+جسم الإنسان مين بيطلعه؟ برضه الـ endothelium
+
+519
+00:42:39,240 --> 00:42:43,340
+Anticoagulant انتيكواجلانت، يعني فيه دور مهم جدا
+
+520
+00:42:43,340 --> 00:42:47,080
+لأنه بنشط Antithrombin 3 برضه عبارة عن maturing
+
+521
+00:42:47,080 --> 00:42:51,840
+Anticoagulant. Tissue factor هو الـ Procoagulant
+
+522
+00:42:51,840 --> 00:42:58,720
+الوحيد في هذه الصفحة ماشي، tissue factor وهذا برضه
+
+523
+00:42:58,720 --> 00:43:03,200
+بيطلع بعد .. after damaging للـ endothelial cell
+
+524
+00:43:03,200 --> 00:43:05,680
+بيصير لها damaging فبيطلع الـ tissue factor وفي
+
+525
+00:43:05,680 --> 00:43:08,520
+الغالب الـ damaging of endothelial cells إن احنا
+
+526
+00:43:08,520 --> 00:43:13,380
+هناخد اللي هو أسباب الـ damage واحد من الأسباب اللي
+
+527
+00:43:13,380 --> 00:43:18,420
+هو الـ inflammatory reaction بيطلع interleukin
+
+528
+00:43:18,420 --> 00:43:24,660
+واحد with human necrosis factor they increase the
+
+529
+00:43:24,660 --> 00:43:30,860
+production of tissue factor المفهوم
+
+530
+00:43:30,860 --> 00:43:34,800
+يا شباب، هذي عبارة عن ملخص للمواد التي تفرز زي ما
+
+531
+00:43:34,800 --> 00:43:37,160
+انتوا شايفين مجموعة منها Anticoagulant ومجموعة
+
+532
+00:43:37,160 --> 00:43:41,320
+منها Procoagulant في الوضع الطبيعي Anticoagulant
+
+533
+00:43:41,320 --> 00:43:45,720
+يوم ما يصير في دمج تتحول إلى Procoagulant تتحول ليه؟
+
+534
+00:43:45,720 --> 00:43:49,880
+Procoagulant. طيب نيجي نشوف أسباب
+
+535
+00:43:52,230 --> 00:43:56,930
+أسباب الـ endothelial injury جال الأسباب خمسة
+
+536
+00:43:56,930 --> 00:44:02,990
+الأسباب خمسة أسباب، واحدة inflammation والـ
+
+537
+00:44:02,990 --> 00:44:07,610
+inflammation نوعين، يا إما due to infectious أو non
+
+538
+00:44:07,610 --> 00:44:11,230
+infectious. طبعا الـ infectious في الـ microbiology
+
+539
+00:44:11,230 --> 00:44:16,910
+أخدته كل أنواع الميكروبات infectious agents بكتيريا،
+
+540
+00:44:16,910 --> 00:44:23,510
+فيروسات، فطريات، whatever، ماشي؟ الـ Non-infectious هي
+
+541
+00:44:23,510 --> 00:44:26,610
+غالبا Immune reaction Antigen-antibody reaction
+
+542
+00:44:26,610 --> 00:44:30,170
+Immune complex formation على سطح الـ blood vessels
+
+543
+00:44:30,170 --> 00:44:33,590
+بيعمل damaging للـ blood vessels يعني بيعمل
+
+544
+00:44:33,590 --> 00:44:39,230
+damaging ليش؟ للـ endothelium صح؟ Antigen-antibody
+
+545
+00:44:39,230 --> 00:44:43,490
+reaction على سطح الـ vascular area أو الـ blood
+
+546
+00:44:43,490 --> 00:44:48,510
+vessels وبالتالي بيعمل damaging ليش؟ وبيسبب أمراض
+
+547
+00:44:48,510 --> 00:44:54,210
+كثيرة. السبب الثاني هو الـ necrosis يا شباب والـ
+
+548
+00:44:54,210 --> 00:44:58,290
+necrosis due to برضه different factors إنها تخريب
+
+549
+00:44:58,290 --> 00:45:03,830
+ممكن يكون دخيل تخريب يعني القتل لمين؟ لهذه الخلايا
+
+550
+00:45:03,830 --> 00:45:08,790
+أو infectious agents أو الفيروس برضه بتقتل الخلايا
+
+551
+00:45:08,790 --> 00:45:15,310
+اللي بتدخلها. السبب الثالث الـ degeneration
+
+552
+00:45:15,310 --> 00:45:21,620
+endothelial degeneration ماشي؟ ممكن يصير فيه عملية
+
+553
+00:45:21,620 --> 00:45:28,100
+اللي هو موت وتقشير الخلايا الظهارية وفي الغالب
+
+554
+00:45:28,100 --> 00:45:33,200
+الـ endotoxin أي مادة سامة بتخش ممكن تسبب
+
+555
+00:45:33,200 --> 00:45:38,080
+الـ endothelial degeneration. سبب الرابع trauma ضربة
+
+556
+00:45:38,080 --> 00:45:44,860
+وسبب الخامس invasion بمعنى غزو وغالبا الغزو بيجي
+
+557
+00:45:44,860 --> 00:45:50,020
+من خلايا سرطانية غزو خلايا ايه؟ طبيعية invasion
+
+558
+00:45:51,060 --> 00:45:53,360
+بالتالي إما مجموعة الـ inflammation أو مجموعة necrosis
+
+559
+00:45:53,360 --> 00:46:01,820
+مفهوم يا شباب؟ مفهوم؟ طبعا، خلّيني أنا
+
+560
+00:46:01,820 --> 00:46:07,000
+أشوف بعد هالشرح المطول في هذا الموضوع، الواحد ممكن
+
+561
+00:46:07,000 --> 00:46:12,240
+يسأل سؤال، إيش السؤال؟ بيقول، How does the
+
+562
+00:46:12,240 --> 00:46:17,380
+hemostatic system control itself؟ And why are not
+
+563
+00:46:17,380 --> 00:46:22,930
+blood clots forming all the time؟ سهل، كيف ممكن أن
+
+564
+00:46:22,930 --> 00:46:26,970
+يكون الـ hemostatic system يتحكم بحاله وفي نفس
+
+565
+00:46:26,970 --> 00:46:31,390
+الوقت؟ ليش بيصير الجلطات دائما؟ صح؟ سهل جدا الآن
+
+566
+00:46:31,390 --> 00:46:35,590
+نجاوب عليه، لأنه احنا عارفين أنه في مواد بتفرز،
+
+567
+00:46:35,590 --> 00:46:38,270
+شيء بيشتغل properly، شيء بيشتغل properly، شيء
+
+568
+00:46:38,270 --> 00:46:38,770
+بيشتغل properly، شيء بيشتغل properly، شيء بيشتغل
+
+569
+00:46:38,770 --> 00:46:40,670
+properly، شيء بيشتغل properly، شيء بيشتغل
+
+570
+00:46:40,670 --> 00:46:43,330
+properly، شيء بيشتغل properly، شيء بيشتغل
+
+571
+00:46:43,330 --> 00:46:46,870
+properly، شيء بيشتغل properly، شيء بيشتغل
+
+572
+00:46:46,870 --> 00:46:51,180
+properly، شيء بيشتغل properly، إيش نوع من التذكير
+
+573
+00:46:51,180 --> 00:46:53,420
+اللي هي المواد التي تُفرز كـ Anticoagulant و
+
+574
+00:46:53,420 --> 00:46:58,020
+Procoagulant نمر
+
+575
+00:46:58,020 --> 00:47:01,560
+أحد فصلوها إلى Physical Properties صفات فيزيائية
+
+576
+00:47:01,560 --> 00:47:10,420
+تمنع حدوث جلطة ماشي، بينجوسين الحفاظ على الـ blood
+
+577
+00:47:10,420 --> 00:47:18,630
+vessels uninjured غير مصاب أو غير مجروح، ماشي؟
+
+578
+00:47:18,630 --> 00:47:22,990
+إيش هذه الأسباب اللي موجودة بشكل طبيعي وحافظت لي
+
+579
+00:47:22,990 --> 00:47:28,110
+على الـ blood vessels برضه يضل طبيعي؟ نقرأ واحد،
+
+580
+00:47:28,110 --> 00:47:33,570
+lamellar flow of blood in vessel cellular
+
+581
+00:47:33,570 --> 00:47:39,430
+component flow in the central، الدم عادة بيجري في
+
+582
+00:47:39,430 --> 00:47:44,770
+إيش؟ في وسط الوعاء الدموي، وبعيد عن الأطراف، وشوفنا
+
+583
+00:47:44,770 --> 00:47:47,790
+ليش بعيدة عن الأطراف؟ لإن الخلايا أول ما تنزل على
+
+584
+00:47:47,790 --> 00:47:52,290
+الطرف شو بيصير لها؟ repelling ماشي لإنها بتحمل نفس
+
+585
+00:47:52,290 --> 00:47:57,710
+الشكل، أه وشبهتلكم الـ platelet كيف بيصير؟ 100%
+
+586
+00:47:57,710 --> 00:48:04,010
+crawling بيسموها أو ping pong movement، هذا واحد،
+
+587
+00:48:04,010 --> 00:48:10,230
+ثانيًا، endothelial cell has negatively charged
+
+588
+00:48:10,230 --> 00:48:15,610
+و platelet has negatively charged نمر
+
+589
+00:48:15,610 --> 00:48:22,450
+ثالثًا، endothelial cells shield platelets from
+
+590
+00:48:22,450 --> 00:48:28,370
+collagen. طبقة هذه الـ endothelial بتحمي الـ platelet و
+
+591
+00:48:28,370 --> 00:48:32,410
+تبعد الـ platelet عن مين؟ لأن الـ collagen يحد
+
+592
+00:48:36,030 --> 00:48:41,190
+وهذه الصورة بتبين ليش؟ بتبين لي negative charge زي
+
+593
+00:48:41,190 --> 00:48:45,550
+ما أنتم شايفين يا شباب، هذه عبارة عن وعاء دموي blood
+
+594
+00:48:45,550 --> 00:48:49,250
+vessels مبطن بـ endothelial cells ده هي الدوائر
+
+595
+00:48:49,250 --> 00:48:53,630
+الصفراء على سطحها negative charge والـ platelets اللي
+
+596
+00:48:53,630 --> 00:48:59,870
+هي الدوائر الصفراء زي السمراء برضه بتحمل، وبالتالي
+
+597
+00:48:59,870 --> 00:49:02,770
+في continuous repelling ولا لأ؟ في continuous
+
+598
+00:49:02,770 --> 00:49:08,390
+repelling. إذا بتلاحظوا الطبقة التي تليها هي عبارة
+
+599
+00:49:08,390 --> 00:49:12,110
+عن some endothelial layer which is rich in
+
+600
+00:49:12,110 --> 00:49:15,910
+collagen platelet activator ده هي الطبقة التي
+
+601
+00:49:15,910 --> 00:49:16,350
+تليها
+
+602
+00:49:24,230 --> 00:49:28,490
+في حاجات تانية طبعا، في حاجات تانية تمنع حدوث جلطة،
+
+603
+00:49:28,490 --> 00:49:32,250
+and they are synthesized and formed continuously،
+
+604
+00:49:32,250 --> 00:49:36,090
+منها negative charged surfaces، negative charged
+
+605
+00:49:36,090 --> 00:49:38,470
+surfaces، ما احنا عارفين إن الـ endothelial
+
+606
+00:49:38,470 --> 00:49:41,650
+negative charged والـ platelet negative charged. نمر
+
+607
+00:49:41,650 --> 00:49:46,850
+اثنين، prostacyclin formation كمان prostacyclin
+
+608
+00:49:46,850 --> 00:49:49,010
+يا شباب بيزود الـ negative charge هو عبارة عن
+
+609
+00:49:49,010 --> 00:49:52,110
+negative charge وبالتالي بيعمل برضه continuously
+
+610
+00:49:52,110 --> 00:49:56,250
+repelling ويمنع platelet aggregation أو
+
+611
+00:49:56,250 --> 00:50:00,570
+anticoagulant. thrombomodulin توا حاكيناه قلنا
+
+612
+00:50:00,570 --> 00:50:02,750
+بنشط الـ protein C وهذا عبارة عن naturally
+
+613
+00:50:02,750 --> 00:50:06,610
+occurring anticoagulant فهو إيش؟ anticoagulant
+
+614
+00:50:06,610 --> 00:50:07,050
+effect
+
+615
+00:50:10,950 --> 00:50:13,710
+بنشط Antithrombin 3 وهو عبارة عن Naturally
+
+616
+00:50:13,710 --> 00:50:17,310
+occurring anticoagulant برضه بتقيله anticoagulant
+
+617
+00:50:17,310 --> 00:50:22,290
+effect. ثم tissue plasminogen activator بيزود الـ
+
+618
+00:50:22,290 --> 00:50:28,590
+fibrinolysis فبالتالي بيعمل anticoagulant بالضبط 100
+
+619
+00:50:28,590 --> 00:50:32,430
+% بتنشط الـ plasminogen وبيكونوا plasmin تبعين
+
+620
+00:50:32,430 --> 00:50:38,230
+معايا يا شباب؟ طب نشوف في مواد أخرى. Platelet قلنا
+
+621
+00:50:38,230 --> 00:50:44,770
+بتـ circulate in their inactive form. شوفوا قاعدة
+
+622
+00:50:44,770 --> 00:50:50,990
+تاخدوها بالاعتبار طول ما الـ platelet تمشي وهي
+
+623
+00:50:50,990 --> 00:50:57,810
+inactive يوم ما تنبسك تتحول إلى ايه؟ إلى active. أول
+
+624
+00:50:57,810 --> 00:51:03,790
+خطوات نشاط الـ platelets تحولها من immobile إلى
+
+625
+00:51:03,790 --> 00:51:09,230
+mobile تنمسك فبتفعس فبتصير ايش؟ adhesion ثم activation
+
+626
+00:51:09,230 --> 00:51:14,470
+دي مراياها ستة أو سبعة prostaglandin أو 
+
+627
+00:51:14,470 --> 00:51:20,350
+prostacyclin اللي بتفرزهم الاندوثيليوم
+
+628
+00:51:20,350 --> 00:51:26,630
+بيخلي البلاتليتس دائماً in their inactive form حاجة
+
+629
+00:51:26,630 --> 00:51:29,350
+تانية كمان آخدها فعلاً تيبار coagulation factor اللي
+
+630
+00:51:29,350 --> 00:51:34,390
+بتمشي في الدم كلها موجودة على شكل inert form يعني
+
+631
+00:51:34,390 --> 00:51:40,530
+زيموجين لما بتتنشط بتتحول إلى إيه؟ إلى enzyme إلى
+
+632
+00:51:40,530 --> 00:51:45,570
+إيه؟ إلى enzyme إلى نشط نعم كل العوامل الحاجة
+
+633
+00:51:45,570 --> 00:51:51,190
+الأخرانية اللي هي tissue factor وهذا ممنوع يكون
+
+634
+00:51:51,190 --> 00:51:55,910
+موجود في الـ blood vessels وإنما موجود في الـ
+
+635
+00:51:55,910 --> 00:52:01,210
+subendothelial layer هذا هو اللي برضه بعيد عنه
+
+636
+00:52:01,210 --> 00:52:03,990
+عشان تنشيط عوامل الجلد 
diff --git a/PL9fwy3NUQKwZk82_1AeatKVgXG0nDxlHE/zhr7lK3O48o_raw.json b/PL9fwy3NUQKwZk82_1AeatKVgXG0nDxlHE/zhr7lK3O48o_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..17c978b7ebb1a6b3eb6ec3b726b4c886b7557ce6
--- /dev/null
+++ b/PL9fwy3NUQKwZk82_1AeatKVgXG0nDxlHE/zhr7lK3O48o_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 4868, "start": 20.82, "end": 48.68, "text": "بسم الله الرحمن الرحيم المرة اللي فاتت بدأنا نحكي على ال vascular blood vessels وشوفنا دور أول شي شوفنا تركيبة ال blood vessels وعرفنا ان في تلاتة layers ل ال blood vessels هي تونيكا انتما و ثم ترميديا ثم الventi ده وقولنا من أهم هذه الطبقات هي الطبقة الملامسة للدم وهي الطبقة", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 9673, 25720, 13672, 1829, 6156, 9307, 2655, 47525, 10721, 8315, 8717, 5016, 4117, 1829, 15844, 2423, 371, 22084, 3390, 20117, 4032, 8592, 38688, 8315, 11778, 13063, 5551, 12610, 44049, 13412, 38688, 8315, 6055, 31747, 1829, 49401, 2423, 3390, 20117, 4032, 3615, 28480, 8315, 16472, 8978, 6055, 1211, 9307, 3660, 7914, 5296, 2423, 3390, 20117, 39896, 6055, 11536, 1829, 4117, 995, 16472, 2655, 15042, 4032, 38637, 2304, 6055, 2288, 2304, 1829, 16254, 995, 38637, 2304, 2423, 2475, 72, 11778, 3224, 4032, 39648, 8315, 9154, 5551, 16095, 29538, 41950, 3555, 4587, 9307, 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تطلع Prostacycline لكن البلاي بلاي بتجف، بتقدرش تطلع ايه؟ Thrombocynator يعني المريض او الإنسان اللي بياخد baby aspirin انه اتخذ as a prophylactic بالمناسبة", "tokens": [37746, 8592, 2655, 17082, 1211, 8592, 15844, 3714, 9957, 22807, 37495, 22653, 2423, 9987, 39894, 11242, 9566, 2288, 6055, 9566, 1211, 3615, 2114, 555, 2551, 66, 1889, 44381, 29739, 15040, 1829, 4724, 15040, 1829, 39894, 7435, 5172, 12399, 39894, 28543, 2288, 8592, 6055, 9566, 1211, 3615, 1975, 1829, 3224, 22807, 41645, 3548, 905, 2534, 1639, 37495, 22653, 9673, 16572, 11242, 1975, 2407, 33688, 1863, 3794, 7649, 13672, 1829, 4724, 1829, 47283, 3215, 3186, 20003, 259, 16472, 3224, 1975, 2655, 9778, 8848, 382, 257, 17051, 5088, 19892, 20666, 2304, 8315, 35457, 3660], "avg_logprob": -0.3508831515260365, "compression_ratio": 1.4027777777777777, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1633.28, "end": 1633.94, "word": "وبشتغلش", "probability": 0.83721923828125}, {"start": 1633.94, "end": 1634.12, "word": 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9154, 3714, 37746, 995, 26895, 30731, 1975, 2304, 3714, 37746, 995, 26895, 6055, 1863, 2304, 3794, 4117, 6156, 3555, 2655, 5172, 3615, 3794, 6156, 3555, 2655, 9381, 13546, 1975, 1829, 8592, 1975, 3215, 3224, 1829, 7435, 9957, 38637, 2304, 1975, 4117, 31371, 5172, 1829, 8592, 1829, 11778, 1829, 3714, 23557, 25528, 3224, 8608, 2655, 3660, 1975, 2407, 8608, 3555, 27884, 10293, 559, 1661, 259, 1975, 2407, 10293, 2551, 3474, 259, 13672, 1829, 39894, 5172, 2288, 11622, 16095, 2423, 7649, 3215, 2407, 12984, 26895, 9957, 4724, 1829, 9778, 20292, 29739, 1211, 9307, 1211, 9957, 11778, 47302, 15042, 294, 641, 294, 12596, 1254], "avg_logprob": -0.27135417635242143, "compression_ratio": 1.60352422907489, "no_speech_prob": 0.0, "words": [{"start": 3057.31, "end": 3057.81, "word": "أول", "probability": 0.9248046875}, {"start": 3057.81, "end": 3058.71, "word": " خطوات", "probability": 0.980712890625}, {"start": 3058.71, "end": 3059.71, "word": " نشاط", "probability": 0.8287760416666666}, {"start": 3059.71, "end": 3060.41, "word": " البلاتلين", "probability": 0.61396484375}, {"start": 3060.41, "end": 3061.35, "word": " تحولها", "probability": 0.87548828125}, {"start": 3061.35, "end": 3062.11, "word": " من", "probability": 0.52587890625}, {"start": 3062.11, "end": 3063.33, "word": " موبايل", "probability": 0.73602294921875}, {"start": 3063.33, "end": 3063.57, "word": " إلى", "probability": 0.8564453125}, {"start": 3063.57, "end": 3063.79, "word": " ام", "probability": 0.610595703125}, {"start": 3063.79, "end": 3064.27, "word": " موبايل", "probability": 0.84185791015625}, {"start": 3064.27, "end": 3064.99, "word": " تنمسك", "probability": 0.743603515625}, {"start": 3064.99, "end": 3065.75, "word": " فبتفعس", "probability": 0.7867838541666666}, {"start": 3065.75, "end": 3066.93, "word": " فبتصير", "probability": 0.9119140625}, {"start": 3066.93, "end": 3067.27, "word": " ايش", "probability": 0.6421712239583334}, {"start": 3067.27, "end": 3067.91, "word": " ادهيجين", "probability": 0.6768798828125}, {"start": 3067.91, "end": 3068.15, "word": " ثم", "probability": 0.987548828125}, {"start": 3068.15, "end": 3069.23, "word": " اكتيفيشي", "probability": 0.7271902901785714}, {"start": 3069.23, "end": 3071.05, "word": " دي", "probability": 0.605224609375}, {"start": 3071.05, "end": 3071.57, "word": " مراياه", "probability": 0.6485595703125}, {"start": 3071.57, "end": 3072.59, "word": " ستة", "probability": 0.8995768229166666}, {"start": 3072.59, "end": 3072.69, "word": " او", "probability": 0.7044677734375}, {"start": 3072.69, "end": 3073.07, "word": " سبعة", "probability": 0.9044596354166666}, {"start": 3073.07, "end": 3074.35, "word": " prostaglandin", "probability": 0.8836669921875}, {"start": 3074.35, "end": 3074.47, "word": " او", "probability": 0.828857421875}, {"start": 3074.47, "end": 3075.37, "word": " prostacyclin", "probability": 0.753173828125}, {"start": 3075.37, "end": 3076.25, "word": " اللي", "probability": 0.888671875}, {"start": 3076.25, "end": 3077.15, "word": " بتفرزهم", "probability": 0.92216796875}, {"start": 3077.15, "end": 3080.35, "word": " الاندوثيلين", "probability": 0.7180350167410714}, {"start": 3080.35, "end": 3081.53, "word": " بيخلي", "probability": 0.77410888671875}, {"start": 3081.53, "end": 3082.11, "word": " البلاتلين", "probability": 0.9333984375}, {"start": 3082.11, "end": 3082.59, "word": " دايما", "probability": 0.9069010416666666}, {"start": 3082.59, "end": 3082.85, "word": " in", "probability": 0.482177734375}, {"start": 3082.85, "end": 3083.07, "word": " their", "probability": 0.88525390625}, {"start": 3083.07, "end": 3083.45, "word": " inactive", "probability": 0.884521484375}, {"start": 3083.45, "end": 3083.83, "word": " form", "probability": 0.94970703125}], "temperature": 1.0}, {"id": 112, "seek": 310867, "start": 3086.17, "end": 3108.67, "text": "حاجة تانية كمان أخدها فعلا تيبار coagration factor اللي بتمشي في الدب كلها موجودة على شكل inert form يعني زيموجين لما بتتنشط بتتحول إلى إيه؟ إلى enzyme إلى إيه؟ إلى enzyme إلى نشط نعم كل الأثارين الحاجة الأخرانية اللي هي tissue factor وهذا", "tokens": [5016, 26108, 3660, 6055, 7649, 10632, 9122, 2304, 7649, 5551, 9778, 3215, 11296, 6156, 3615, 15040, 6055, 1829, 3555, 9640, 598, 559, 2405, 5952, 13672, 1829, 39894, 2304, 8592, 1829, 8978, 32748, 3555, 28242, 11296, 3714, 29245, 23328, 3660, 15844, 13412, 28820, 25832, 1254, 37495, 22653, 30767, 1829, 2304, 29245, 9957, 5296, 15042, 39894, 2655, 1863, 8592, 9566, 39894, 2655, 5016, 12610, 30731, 11933, 1829, 3224, 22807, 30731, 24521, 30731, 11933, 1829, 3224, 22807, 30731, 24521, 30731, 8717, 8592, 9566, 8717, 25957, 28242, 16247, 12984, 9640, 9957, 21542, 26108, 3660, 16247, 34740, 7649, 10632, 13672, 1829, 39896, 12404, 5952, 37037, 15730], "avg_logprob": -0.3238357781779532, "compression_ratio": 1.7432432432432432, "no_speech_prob": 5.4836273193359375e-06, "words": [{"start": 3086.17, "end": 3086.63, "word": "حاجة", "probability": 0.7423502604166666}, {"start": 3086.63, "end": 3086.95, "word": " تانية", "probability": 0.9612630208333334}, {"start": 3086.95, "end": 3087.25, "word": " كمان", "probability": 0.83349609375}, {"start": 3087.25, "end": 3087.59, "word": " أخدها", "probability": 0.8074951171875}, {"start": 3087.59, "end": 3087.85, "word": " فعلا", "probability": 0.574462890625}, {"start": 3087.85, "end": 3088.25, "word": " تيبار", "probability": 0.55401611328125}, {"start": 3088.25, "end": 3088.79, "word": " coagration", "probability": 0.4706827799479167}, {"start": 3088.79, "end": 3089.21, "word": " factor", "probability": 0.86669921875}, {"start": 3089.21, "end": 3089.35, "word": " اللي", "probability": 0.76953125}, {"start": 3089.35, "end": 3089.79, "word": " بتمشي", "probability": 0.9486083984375}, {"start": 3089.79, "end": 3089.89, "word": " في", "probability": 0.923828125}, {"start": 3089.89, "end": 3090.23, "word": " الدب", "probability": 0.87451171875}, {"start": 3090.23, "end": 3091.55, "word": " كلها", "probability": 0.880859375}, {"start": 3091.55, "end": 3092.11, "word": " موجودة", "probability": 0.9859619140625}, {"start": 3092.11, "end": 3092.25, "word": " على", "probability": 0.9375}, {"start": 3092.25, "end": 3092.59, "word": " شكل", "probability": 0.983154296875}, {"start": 3092.59, "end": 3092.99, "word": " inert", "probability": 0.8662109375}, {"start": 3092.99, "end": 3093.39, "word": " form", "probability": 0.93505859375}, {"start": 3093.39, "end": 3094.39, "word": " يعني", "probability": 0.805419921875}, {"start": 3094.39, "end": 3095.19, "word": " زيموجين", "probability": 0.6545166015625}, {"start": 3095.19, "end": 3096.45, "word": " لما", "probability": 0.851806640625}, {"start": 3096.45, "end": 3097.19, "word": " بتتنشط", "probability": 0.73701171875}, {"start": 3097.19, "end": 3097.77, "word": " بتتحول", "probability": 0.9202880859375}, {"start": 3097.77, "end": 3097.97, "word": " إلى", "probability": 0.6943359375}, {"start": 3097.97, "end": 3099.07, "word": " إيه؟", "probability": 0.680419921875}, {"start": 3099.07, "end": 3099.39, "word": " إلى", "probability": 0.7197265625}, {"start": 3099.39, "end": 3099.97, "word": " enzyme", "probability": 0.787109375}, {"start": 3099.97, "end": 3100.53, "word": " إلى", "probability": 0.298095703125}, {"start": 3100.53, "end": 3101.09, "word": " إيه؟", "probability": 0.7840576171875}, {"start": 3101.09, "end": 3101.33, "word": " إلى", "probability": 0.70458984375}, {"start": 3101.33, "end": 3101.65, "word": " enzyme", "probability": 0.66162109375}, {"start": 3101.65, "end": 3102.29, "word": " إلى", "probability": 0.288330078125}, {"start": 3102.29, "end": 3102.73, "word": " نشط", "probability": 0.8087565104166666}, {"start": 3102.73, "end": 3103.41, "word": " نعم", "probability": 0.6351318359375}, {"start": 3103.41, "end": 3103.61, "word": " كل", "probability": 0.45458984375}, {"start": 3103.61, "end": 3104.17, "word": " الأثارين", "probability": 0.51898193359375}, {"start": 3104.17, "end": 3105.57, "word": " الحاجة", "probability": 0.9571940104166666}, {"start": 3105.57, "end": 3106.09, "word": " الأخرانية", "probability": 0.9371337890625}, {"start": 3106.09, "end": 3106.23, "word": " اللي", "probability": 0.8935546875}, {"start": 3106.23, "end": 3106.35, "word": " هي", "probability": 0.8857421875}, {"start": 3106.35, "end": 3106.59, "word": " tissue", "probability": 0.4375}, {"start": 3106.59, "end": 3107.21, "word": " factor", "probability": 0.88232421875}, {"start": 3107.21, "end": 3108.67, "word": " وهذا", "probability": 0.789794921875}], "temperature": 1.0}, {"id": 113, "seek": 312399, "start": 3109.49, "end": 3123.99, "text": "ممنوع يكون موجود في الـ blood vessels وإنما موجود في الـ subendothelial layer هذا هو اللي برضه بعيد عنه عشان تنشيط عوامل الجلد", "tokens": [2304, 27842, 45367, 7251, 30544, 3714, 29245, 23328, 8978, 2423, 39184, 3390, 20117, 4032, 28814, 1863, 15042, 3714, 29245, 23328, 8978, 2423, 39184, 1422, 521, 900, 338, 831, 4583, 23758, 31439, 13672, 1829, 4724, 43042, 3224, 45030, 25708, 18871, 3224, 6225, 8592, 7649, 6055, 1863, 8592, 1829, 9566, 6225, 2407, 10943, 1211, 25724, 1211, 3215], "avg_logprob": -0.37165178252117975, "compression_ratio": 1.3916083916083917, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 3109.49, "end": 3110.19, "word": "ممنوع", "probability": 0.70263671875}, {"start": 3110.19, "end": 3111.19, "word": " يكون", "probability": 0.474609375}, {"start": 3111.19, "end": 3111.31, "word": " موجود", "probability": 0.7974446614583334}, {"start": 3111.31, "end": 3111.43, "word": " في", "probability": 0.79248046875}, {"start": 3111.43, "end": 3111.51, "word": " الـ", "probability": 0.3917236328125}, {"start": 3111.51, "end": 3111.67, "word": " blood", "probability": 0.69140625}, {"start": 3111.67, "end": 3113.37, "word": " vessels", "probability": 0.822265625}, {"start": 3113.37, "end": 3114.45, "word": " وإنما", "probability": 0.5496826171875}, {"start": 3114.45, "end": 3114.97, "word": " موجود", "probability": 0.9005533854166666}, {"start": 3114.97, "end": 3115.67, "word": " في", "probability": 0.89404296875}, {"start": 3115.67, "end": 3115.91, "word": " الـ", "probability": 0.649169921875}, {"start": 3115.91, "end": 3117.13, "word": " subendothelial", "probability": 0.784814453125}, {"start": 3117.13, "end": 3117.65, "word": " layer", "probability": 0.9326171875}, {"start": 3117.65, "end": 3118.47, "word": " هذا", "probability": 0.375732421875}, {"start": 3118.47, "end": 3119.19, "word": " هو", "probability": 0.4736328125}, {"start": 3119.19, "end": 3120.35, "word": " اللي", "probability": 0.5809326171875}, {"start": 3120.35, "end": 3120.71, "word": " برضه", "probability": 0.7582194010416666}, {"start": 3120.71, "end": 3120.95, "word": " بعيد", "probability": 0.9833984375}, {"start": 3120.95, "end": 3121.21, "word": " عنه", "probability": 0.6593017578125}, {"start": 3121.21, "end": 3121.71, "word": " عشان", "probability": 0.7259928385416666}, {"start": 3121.71, "end": 3122.55, "word": " تنشيط", "probability": 0.9154296875}, {"start": 3122.55, "end": 3123.51, "word": " عوامل", "probability": 0.972412109375}, {"start": 3123.51, "end": 3123.99, "word": " الجلد", "probability": 0.8655598958333334}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 3125.54525, "duration_after_vad": 2968.333749999987}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZk82_1AeatKVgXG0nDxlHE/zhr7lK3O48o_raw.srt b/PL9fwy3NUQKwZk82_1AeatKVgXG0nDxlHE/zhr7lK3O48o_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..03ec078b081b548f42f57c99683a0e8527728eee
--- /dev/null
+++ b/PL9fwy3NUQKwZk82_1AeatKVgXG0nDxlHE/zhr7lK3O48o_raw.srt
@@ -0,0 +1,2564 @@
+1
+00:00:20,820 --> 00:00:24,280
+بسم الله الرحمن الرحيم المرة اللي فاتت بدأنا نحكي
+
+2
+00:00:24,280 --> 00:00:30,500
+على ال vascular blood vessels وشوفنا
+
+3
+00:00:30,500 --> 00:00:33,460
+دور أول شي شوفنا تركيبة ال blood vessels وعرفنا ان
+
+4
+00:00:33,460 --> 00:00:38,540
+في تلاتة layers ل ال blood vessels هي تونيكا انتما
+
+5
+00:00:38,540 --> 00:00:45,280
+و ثم ترميديا ثم الventi ده وقولنا من أهم هذه
+
+6
+00:00:45,280 --> 00:00:48,680
+الطبقات هي الطبقة الملامسة للدم وهي الطبقة
+
+7
+00:00:58,520 --> 00:01:04,340
+بتفرز نوعين من المواد نوع Anti-coagulant و نوع Pro
+
+8
+00:01:04,340 --> 00:01:08,220
+-coagulant اليوم
+
+9
+00:01:08,220 --> 00:01:11,640
+ان شاء الله هنشوف هذه الأنواع اللي Anti-coagulant
+
+10
+00:01:11,640 --> 00:01:16,200
+و ال Pro-coagulant هنتعرف على مصدرها من وين تيجي
+
+11
+00:01:16,200 --> 00:01:21,330
+هذه المواد ثم هنتعرف على ال mechanismof formation
+
+12
+00:01:21,330 --> 00:01:25,910
+كيف تتكون ثم ال mode of action كيف .. ماذا تعمل ..
+
+13
+00:01:25,910 --> 00:01:32,090
+ماذا air تعمل انما الهدف الأساسي هو ان هذه الخلايا
+
+14
+00:01:32,090 --> 00:01:36,710
+بتفرز مادتين او نوعين من المواد هي anticoagulant
+
+15
+00:01:36,710 --> 00:01:40,170
+proteins وهذا بيؤكد قاعدة قلناها المرة اللي فاتت
+
+16
+00:01:40,170 --> 00:01:45,150
+في المحاضرة اللي فاتت ان هذه الطبقة هي عبارة عن
+
+17
+00:01:45,150 --> 00:01:49,130
+non-thrombogenic areaفي الوضع الطبيعي هي non
+
+18
+00:01:49,130 --> 00:01:53,970
+-thrombogenic لكنها تتحول إلى thrombogenic upon
+
+19
+00:01:53,970 --> 00:02:00,970
+damage لما يصير لها damaging تتحول من non
+
+20
+00:02:00,970 --> 00:02:04,250
+-thrombogenic إلى thrombogenic عشان هيك تمتلك هي
+
+21
+00:02:04,250 --> 00:02:08,390
+هذه الخاصية أنه مرات في الوضع الطبيعي بتفرز مواد
+
+22
+00:02:08,390 --> 00:02:12,310
+بتشغل as anticoagulant ثم في الوضع الغير طبيعي
+
+23
+00:02:12,310 --> 00:02:19,500
+بتفرز مواد بتشغل as procoagulant، مظبوط؟مشي من هذه
+
+24
+00:02:19,500 --> 00:02:23,440
+الموال نشوف هي normal endothelia بمعنى undamaged
+
+25
+00:02:23,440 --> 00:02:27,320
+بمعنى undamaged ماصر اللي هي damaging normal
+
+26
+00:02:27,320 --> 00:02:30,380
+endothelia يعني في الوضع الطبيعي هتفلز
+
+27
+00:02:30,380 --> 00:02:32,800
+anticoagulant لإنها non-thrombogenic مظبوط
+
+28
+00:02:32,800 --> 00:02:36,700
+generally induce vascular relaxation تعمل
+
+29
+00:02:36,700 --> 00:02:40,500
+relaxation of blood vessels and anti-clotting
+
+30
+00:02:43,770 --> 00:02:49,550
+Androtrombosis يعني ترمبوجينيك من هذه المواد هي
+
+31
+00:02:49,550 --> 00:02:54,890
+الـ Nitric Oxide و ال Prostacyclin و Indothelium
+
+32
+00:02:54,890 --> 00:02:59,510
+-derived hyperpolarizing factor و هنتعرف عليهم و
+
+33
+00:02:59,510 --> 00:03:03,210
+كما قلت لكم مصادرهم كيف يتكونوا و ماذا يعملوا ماشي
+
+34
+00:03:03,210 --> 00:03:09,870
+و نبدأ بأول هذه المواد و هي ال Nitric Oxide
+
+35
+00:03:13,100 --> 00:03:18,940
+بشكل اندوثيليام وليس فقط بشكل اندوثيليام، بشكل
+
+36
+00:03:18,940 --> 00:03:18,940
+اندوثيليام، بشكل اندوثيليام وليس فقط بشكل
+
+37
+00:03:18,940 --> 00:03:20,580
+اندوثيليام، بشكل اندوثيليام وليس فقط بشكل
+
+38
+00:03:20,580 --> 00:03:22,980
+اندوثيليام وليس فقط بشكل اندوثيليام وليس فقط بشكل
+
+39
+00:03:22,980 --> 00:03:25,900
+اندوثيليام وليس فقط بشكل اندوثيليام وليس فقط بشكل
+
+40
+00:03:25,900 --> 00:03:26,900
+اندوثيليام وليس فقط بشكل اندوثيليام وليس فقط بشكل
+
+41
+00:03:26,900 --> 00:03:32,320
+اندوثيليام وليس فقط بشكل اندوثيليام وليس فقط بشكل
+
+42
+00:03:32,320 --> 00:03:38,900
+اندوثيليام وليس فقط بشكل اندوثيليام
+
+43
+00:03:38,900 --> 00:03:43,580
+وطبيعي يلهم بعض الصفات بتشتغل زي ال Oxygen
+
+44
+00:03:43,580 --> 00:03:45,940
+Metabolite و Oxygen Metabolite كلهم بتلعب في
+
+45
+00:03:45,940 --> 00:03:49,720
+Radical Compounds وبتلعب زر كبير ك Anti
+
+46
+00:03:49,720 --> 00:03:54,240
+-inflammatory product Anti-inflammatory product
+
+47
+00:03:54,240 --> 00:03:59,320
+What they do؟ نمرا واحد Vascular Smooth Muscle
+
+48
+00:03:59,320 --> 00:04:02,800
+Relaxation احنا قلنا طبعا في محافظة ال slide اللي
+
+49
+00:04:02,800 --> 00:04:06,220
+جابناها بيصير في .. في Relaxation Smooth Muscle
+
+50
+00:04:06,220 --> 00:04:10,560
+Relaxation and Vasodilatation and Vasodilatation
+
+51
+00:04:11,200 --> 00:04:16,280
+والكلام هذا بتل من خلال القاتى بزيد الـ Cyclic GMP
+
+52
+00:04:16,280 --> 00:04:19,440
+Cyclic
+
+53
+00:04:19,440 --> 00:04:26,180
+GMP يا شباب كلكم بتعرفوا هي عبارة عن مادةبتفرز
+
+54
+00:04:26,180 --> 00:04:28,800
+بتلعب دور كبير في التحكم في كمية ال calcium في
+
+55
+00:04:28,800 --> 00:04:33,160
+الجسم في الخلية نفسها وبالتالي بتلعب دور كبير في
+
+56
+00:04:33,160 --> 00:04:38,540
+من خلال هذه الخاصية بوظائفها الحيوية هتشوف كيف هي
+
+57
+00:04:38,540 --> 00:04:42,020
+تتكون ونشوف ال mechanism يعني هي بتعمل smooth
+
+58
+00:04:42,020 --> 00:04:45,720
+muscle relaxation من خلال الزيادة بالذات بتعمل
+
+59
+00:04:45,720 --> 00:04:51,120
+cyclic GMP increasing cyclic GMP بيجي من ال ATP او
+
+60
+00:04:51,120 --> 00:04:52,600
+من ال cyclic
+
+61
+00:04:55,710 --> 00:05:00,350
+GTP أو من الـ GTP و بتحول لثاكرة GMP وبالتالي
+
+62
+00:05:00,350 --> 00:05:05,110
+بيصير فياش Relaxation طبعاً في العوضاء أخرى
+
+63
+00:05:05,110 --> 00:05:08,570
+Inhibition أو Platelet Adhesion and Aggregation
+
+64
+00:05:08,570 --> 00:05:12,530
+وهدى برضه من الحاجات اللى بتلعب دور كبير في اللى
+
+65
+00:05:12,530 --> 00:05:17,230
+هو ال Hemostatic Mechanism كمان بتمنع ال Leukocyte
+
+66
+00:05:17,230 --> 00:05:22,510
+و Platelet Adhesion واذا صار منع لل Adhesion يعني
+
+67
+00:05:22,510 --> 00:05:27,420
+منع لل activationصح؟ صح و بتشتغل ك antimicrobial
+
+68
+00:05:27,420 --> 00:05:31,180
+agent لإنها free radical compound بتشبه ال oxygen
+
+69
+00:05:31,180 --> 00:05:34,580
+بتاع بولايد ك free radical و ال free radical إيش
+
+70
+00:05:34,580 --> 00:05:41,900
+بتعمل؟ تقتل تقتل، بظبط؟ تقتل طيب خلينا نشوف كيف
+
+71
+00:05:41,900 --> 00:05:48,340
+يتكون اللي هو ال nitric oxide، هذي عبارة عن صورة
+
+72
+00:05:48,340 --> 00:05:53,180
+بتبين أناللي هو طبقتين من الـ endothelial cells
+
+73
+00:05:53,180 --> 00:05:58,040
+مجسم مش لثلاث طبقات، الطبقة المبطنة وهي endothelia
+
+74
+00:05:58,040 --> 00:06:02,820
+وما ياليها وما إياش ياليها والتي تحتوي على ال
+
+75
+00:06:02,820 --> 00:06:05,900
+smooth muscle والكل هجنيريا، مظبوط؟ مش خدنا
+
+76
+00:06:05,900 --> 00:06:10,460
+تركبته؟ في ال endothelium وهي الطبقة المبطنة
+
+77
+00:06:10,460 --> 00:06:16,140
+للإياش، للوعاء الدموي، لل human جاروا بيتكوّن ال
+
+78
+00:06:16,140 --> 00:06:22,750
+nitric oxideوبيتكون by two mechanisms by ايش؟ by
+
+79
+00:06:22,750 --> 00:06:28,070
+two mechanisms نملا واحد ناخد الميكانيزم الأولانى
+
+80
+00:06:28,070 --> 00:06:35,030
+by under the effect of agonist ايش ال agonist؟
+
+81
+00:06:35,030 --> 00:06:37,910
+طبعا ال agonist هو عبارة عن receptor dependent ال
+
+82
+00:06:37,910 --> 00:06:43,450
+agonist هي عبارة عن مادة محفزة مادة محفزة منشطة
+
+83
+00:06:43,450 --> 00:06:48,350
+ماشي مادة منشطة كده بتبت انشطت بتبت ال receptor
+
+84
+00:06:49,420 --> 00:06:54,560
+بترتبط بإيش؟ بـ Receptor الـR اختصار ليه؟ لـ
+
+85
+00:06:54,560 --> 00:06:59,360
+Receptors ماشي، لمين هذه الـ Receptor؟ للمادة
+
+86
+00:06:59,360 --> 00:07:04,180
+المحفظة إيش أشهر Receptor بيعمل هذا الموضوع؟ ده لو
+
+87
+00:07:04,180 --> 00:07:10,960
+فيه اللي هو Libradikinin Libradikinin
+
+88
+00:07:10,960 --> 00:07:16,730
+يا شباب يعني متها Politeمخلف من مخلفات الـ High
+
+89
+00:07:16,730 --> 00:07:19,370
+Molecular Weight Kinogen وهو واحد من مُركّبات الـ
+
+90
+00:07:19,370 --> 00:07:22,710
+Coagulation Factor هناخده ان شاء الله بالتفصيل
+
+91
+00:07:22,710 --> 00:07:27,630
+فالـ Bradykinin بيلعب دور كبير ك Agonist بيمسك في
+
+92
+00:07:27,630 --> 00:07:31,930
+الـ Receptor تبعه فشو بيعمل؟ إذا مسك، بيعمل
+
+93
+00:07:31,930 --> 00:07:37,830
+Calcium Influx Calcium Influx، فبيدخل كمية من
+
+94
+00:07:37,830 --> 00:07:40,990
+الكالسيوم دخل الكالسيوم ولا مادخلش؟ أيه دخل في
+
+95
+00:07:40,990 --> 00:07:47,010
+الحلو؟ ماشي؟فبدخل الكالسيوم في داخل الخلية وبيزيد
+
+96
+00:07:47,010 --> 00:07:53,610
+تركيزه ولمّا بيزيد تركيزه automatically بيحول
+
+97
+00:07:53,610 --> 00:08:01,290
+الـArginine إلى Nitric Oxide تحت تأثير أو بواسطة
+
+98
+00:08:01,290 --> 00:08:08,270
+إنزايم وهو Setoplasmic Nitric Oxide Synthesis إيش
+
+99
+00:08:08,270 --> 00:08:15,340
+اختصار هذا الـNOS؟C لـCytoplasmic يعني موجود في
+
+100
+00:08:15,340 --> 00:08:21,280
+الـCytoplasm تبع مين؟ تبع الخليل Nitric Oxide نحن
+
+101
+00:08:21,280 --> 00:08:26,940
+نقول إننا سنعمل إيه؟ Nitric Oxide Synthetase بيكون
+
+102
+00:08:26,940 --> 00:08:32,380
+هو إنظان يعمل على تكوين Nitric Oxide بيحول
+
+103
+00:08:32,380 --> 00:08:37,000
+الـArginine وهو من وسط إلى مين؟ إلى Nitric Oxide
+
+104
+00:08:37,000 --> 00:08:42,320
+مفهوم شباب؟هذا الميكانيزم الأولاني اللي بيتكوّن من
+
+105
+00:08:42,320 --> 00:08:49,780
+خلاله الـ Natric Oxide الميكانيزم التاني هو القاتل
+
+106
+00:08:49,780 --> 00:08:55,260
+.. under inflammatory influence في حالات موجودة
+
+107
+00:08:55,260 --> 00:08:59,260
+inflammatory يا شباب في release of inflammatory
+
+108
+00:08:59,260 --> 00:09:06,390
+cytokine، inflammation عشان، شو بتعملها دي؟يعني في
+
+109
+00:09:06,390 --> 00:09:09,690
+ال inflammation غالبا في inflammatory cytokine
+
+110
+00:09:09,690 --> 00:09:17,150
+which increase the blood flow shearing forces ايش
+
+111
+00:09:17,150 --> 00:09:21,330
+ال shearing forces؟ هي القوة دافعة للدم في الوعاء
+
+112
+00:09:21,330 --> 00:09:26,830
+الدموي، ماشي؟ لما بيصير في قوة دافعة بتزيد، شو
+
+113
+00:09:26,830 --> 00:09:31,890
+بيصير؟ احتكاك بزيد، صح؟ الطبقة المبطنة بتتأثر ولا
+
+114
+00:09:31,890 --> 00:09:34,530
+لا بتتأثر؟ بتتأثر، ماشي؟
+
+115
+00:09:39,250 --> 00:09:45,490
+الإنواصيتون ميكانيزم اللى بيحول الارجينين لمين؟
+
+116
+00:09:45,490 --> 00:09:49,510
+لنيتريك أكسيد لنيتريك أكسيد وبالتالي النيتريك
+
+117
+00:09:49,510 --> 00:09:53,790
+أكسيد اما بتكون by the first ميكانيزم اللى مقبرة
+
+118
+00:09:53,790 --> 00:09:58,970
+عن ال receptor agonist ميكانيزم هو اما بتكون by
+
+119
+00:09:58,970 --> 00:10:03,890
+increasing the shearing forces of blood flow ماشي؟
+
+120
+00:10:03,890 --> 00:10:09,890
+تكون نيتريك أكسيدفي داخل ال endothelial cells حد
+
+121
+00:10:09,890 --> 00:10:15,410
+اندوسورانك طبعا دلان يا شباب متى متحول ..كول فى
+
+122
+00:10:15,410 --> 00:10:21,850
+الطبقة الملامسة بيسيروا diffusing وين للطبقة اللى
+
+123
+00:10:21,850 --> 00:10:25,590
+تحته بيسير ال diffusing لوين للطبقة اللى تحته
+
+124
+00:10:25,590 --> 00:10:29,190
+فبنزل على الطبقة التانية اللى هي فيها smooth
+
+125
+00:10:29,190 --> 00:10:35,130
+muscle شو بيعمل؟ بيعمل relaxation بيعمل التخاء
+
+126
+00:10:35,130 --> 00:10:38,850
+بيعمل inhibitionلل proliferation of smooth muscle
+
+127
+00:10:38,850 --> 00:10:44,130
+cell and stasis وبالتالي بيصير relaxation شو
+
+128
+00:10:44,130 --> 00:10:48,710
+بيصير؟ relaxation ماشي فبصير smooth muscle
+
+129
+00:10:48,710 --> 00:10:54,190
+relaxation of azodilatation مفهوم يا شباب؟ اعيد
+
+130
+00:10:54,190 --> 00:11:02,650
+تاني اعيد ماشي ماشي خليكم معايا على السريع هذه
+
+131
+00:11:02,650 --> 00:11:06,520
+الطبقة المبثلة وهي عبارة عن endothelial cellمثل
+
+132
+00:11:06,520 --> 00:11:11,240
+تكوين الـ Nitric Oxide في داخلها By two mechanism،
+
+133
+00:11:11,240 --> 00:11:15,200
+الـ Mechanism الأولاني هو عبارة عن ما Nitric Oxide
+
+134
+00:11:15,200 --> 00:11:18,740
+أو Agonist Receptor Mechanism، والـ Agonist في هذه
+
+135
+00:11:18,740 --> 00:11:23,900
+الحالة هو عبارة عن مين؟ الـBody كائن اللي بيمسك في
+
+136
+00:11:23,900 --> 00:11:29,640
+الـ Receptor، فبعمل Calcium Influx، بيدخل كمية،
+
+137
+00:11:29,640 --> 00:11:33,400
+مدود الكالسيوم في داخل الخلية، متى مزاد الكالسيوم
+
+138
+00:11:33,400 --> 00:11:38,710
+في داخل الخلية،بيحول ال Arginine الى Nitric Oxide
+
+139
+00:11:38,710 --> 00:11:45,770
+By Enzyme ايش ال Enzyme؟ هو Cytoplasmic Nitric
+
+140
+00:11:45,770 --> 00:11:53,070
+Oxide Synthetic ميكانيزم التاني بنزود
+
+141
+00:11:53,070 --> 00:11:57,750
+قلنا اللي هو ال sharing force of blood flow في أي
+
+142
+00:11:57,750 --> 00:12:02,550
+حالة في حالة ال inflammatory reaction شو بيصير؟
+
+143
+00:12:02,990 --> 00:12:07,350
+Inflammatory cytokine بتزود ال sharing force متى
+
+144
+00:12:07,350 --> 00:12:10,650
+ما زادت ال sharing force اللي هي القوة دافعة قلنا
+
+145
+00:12:10,650 --> 00:12:15,750
+بيصير فيه تنشيط ل .. او تكوين للقلب ل matrix oxide
+
+146
+00:12:15,750 --> 00:12:19,790
+من ال L-Arginine كيف بتنشط ال nocitrol ميكانزم
+
+147
+00:12:19,790 --> 00:12:24,350
+خدتوا ميكانزم هذا في أكتر من مكان بس هو عبارة عن
+
+148
+00:12:24,350 --> 00:12:28,210
+signal transduction ميكانزم ال arginine بيتحول ل
+
+149
+00:12:28,210 --> 00:12:33,200
+إيه لتحول ل matrix oxide سؤال كان بهذاأو بهذا
+
+150
+00:12:33,200 --> 00:12:37,020
+الميكانيزم تحوّل الوانز شو بيصيرله؟ بيصيرله
+
+151
+00:12:37,020 --> 00:12:42,140
+diffusion وين؟ على الطبقة التي تليها فيه في مين؟
+
+152
+00:12:42,140 --> 00:12:46,600
+في الوعاء الدمو blood vessel نفسه و هناك يا شباب
+
+153
+00:12:46,600 --> 00:12:51,700
+بعمل smooth muscle relaxation كيف بتتم هذه
+
+154
+00:12:51,700 --> 00:12:56,700
+العملية؟ جاله بميكانيزم تاني ايش هو؟ ايو ناترك
+
+155
+00:12:56,700 --> 00:13:03,820
+اوكسايدبنشط إنزين اسمه Guanylate Cyclase أخدته
+
+156
+00:13:03,820 --> 00:13:12,000
+Guanylate Cyclase
+
+157
+00:13:12,000 --> 00:13:15,620
+إنزين
+
+158
+00:13:15,620 --> 00:13:24,900
+شو بيعمل؟ بيحول الـ GTP Guanyin Triphosphate إلى
+
+159
+00:13:24,900 --> 00:13:32,920
+Cyclic GMPالى ايش؟ الى Cyclic GMP وهذا ايش بيعمل؟
+
+160
+00:13:32,920 --> 00:13:36,120
+بيعمل muscle relaxation لانه بيعمل inhibition لل
+
+161
+00:13:36,120 --> 00:13:40,600
+smooth muscle cell proliferation وبيعمل stasis
+
+162
+00:13:40,600 --> 00:13:45,480
+وبالتالي بيعمل ايش؟ relaxation في ال slide اللى
+
+163
+00:13:45,480 --> 00:13:50,060
+جامدها قولنا بس الخطوة الأخيرة انه ال matrix oxide
+
+164
+00:13:50,060 --> 00:13:56,590
+بيزود مين؟الـ Cyclic GMP صح؟ بيزاود الـ Cyclic GMP
+
+165
+00:13:56,590 --> 00:13:59,610
+وبالتالي بيعمل smooth muscle relaxation هانا
+
+166
+00:13:59,610 --> 00:14:03,490
+تفاصيل الميكانيزي المفصل، مفهوم يا شباب؟ حد عنده
+
+167
+00:14:03,490 --> 00:14:12,010
+سؤال؟ طيب، خلّيني ألخّص ما هي صفات الـ Nitric
+
+168
+00:14:12,010 --> 00:14:17,330
+Oxide ووظائفه انتبهوا، الصلاة ده اللي مش موجودة
+
+169
+00:14:17,330 --> 00:14:21,370
+عندكم، ماشي؟ بتبقوا مع السريعة Nitric Oxide، أيوة
+
+170
+00:14:21,940 --> 00:14:26,640
+بنبغي أحد انهيبت Platelets
+
+171
+00:14:26,640 --> 00:14:33,260
+and leukocytes adhesion to endothelial cells بيمنع
+
+172
+00:14:33,260 --> 00:14:37,680
+ال adhesion لل Platelet و لل إياج و لل leukocyte
+
+173
+00:14:37,680 --> 00:14:44,580
+Chemotaxis and adhesion وبالتالي متى منمنع ال
+
+174
+00:14:44,580 --> 00:14:48,980
+adhesion يعني منع ال activation مفهوم شباب؟ يعني
+
+175
+00:14:48,980 --> 00:14:55,350
+فش هي aggregation لل Plateletنمرة اتنين انهيبت
+
+176
+00:14:55,350 --> 00:15:02,530
+الـplatelet aggregation نمرة تلاتة it facilitates
+
+177
+00:15:02,530 --> 00:15:07,410
+the dissolution of small platelet aggregates
+
+178
+00:15:07,410 --> 00:15:12,350
+مجموعات قليلة من الـplatelet أول ما تبدأ تتجلط
+
+179
+00:15:12,350 --> 00:15:15,870
+تتجلط على شكل مجموعات قليلة من حتة ما تتجلط أول
+
+180
+00:15:15,870 --> 00:15:21,760
+بواب الببدياش يفكفك فيها ببدياش يفكفك فيهامع ذلك
+
+181
+00:15:21,760 --> 00:15:25,480
+الـ Nitric Oxide يؤثر على الـ Fibrinolytic
+
+182
+00:15:25,480 --> 00:15:30,920
+Activity ماهي الـ Fibrinolytic Activity؟ فاكرين في
+
+183
+00:15:30,920 --> 00:15:37,480
+محاضرة سابقة؟ الـ Fibrinolysis تعمل ماهي؟ Lysis
+
+184
+00:15:37,480 --> 00:15:43,200
+للفيبرين، تتحول الفيبرين لمن؟ لـ Fibrin
+
+185
+00:15:43,200 --> 00:15:49,720
+Degradation Products فتاة الفيبرين، ماشي؟الـ
+
+186
+00:15:49,720 --> 00:15:52,640
+Fibrin اللي بفتفت عكبنا ندومه هو عبارة عن الـ
+
+187
+00:15:52,640 --> 00:15:57,020
+Fibrin مدوم يعني بيدوم جلطة لإنه الـ tertiary
+
+188
+00:15:57,020 --> 00:16:01,180
+hemostasis إيش قلنا؟ بندوم الزواقد اللي صارت في
+
+189
+00:16:01,180 --> 00:16:04,740
+الجلطة وبالتالي بتكون Fibrin degradation product
+
+190
+00:16:04,740 --> 00:16:09,840
+ماشيش بقى؟ طيب، شو بعمل الـNitric Oxide؟ قالوا it
+
+191
+00:16:09,840 --> 00:16:16,280
+regulate this action بتحكم بإيش؟ بهذه الوظيفة كيف؟
+
+192
+00:16:17,990 --> 00:16:22,410
+قالوا it regulates the release of activator and
+
+193
+00:16:22,410 --> 00:16:28,430
+inhibitor لمن؟ لهذه الخطوة ايش الactivator؟ tissue
+
+194
+00:16:28,430 --> 00:16:34,070
+plasminogen activator هذا هي و ال inhibitor؟
+
+195
+00:16:34,070 --> 00:16:39,630
+plasminogen activator inhibitor number one هنجيهم
+
+196
+00:16:39,630 --> 00:16:43,190
+ان شاء الله بالتفصيل بس تحفظوهم لأن هذا هم الـ T
+
+197
+00:16:43,190 --> 00:16:48,930
+اختصار ل tissue plasminogen activatorبإيه؟ اللي هو
+
+198
+00:16:48,930 --> 00:16:52,630
+tissue بلازمينوجين
+
+199
+00:16:52,630 --> 00:16:56,210
+activator
+
+200
+00:16:56,210 --> 00:17:02,750
+يعني هذا منشط ماشي لمين؟ للبلازمينوجين بلازمينوجين
+
+201
+00:17:02,750 --> 00:17:09,590
+اشوة جار ال substrate of بلازمين بلازمينوجين بتحول
+
+202
+00:17:09,590 --> 00:17:14,330
+لبلازمين لل enzyme و ال enzyme بيبدأ يشتغل على
+
+203
+00:17:14,330 --> 00:17:15,010
+سرية
+
+204
+00:17:24,440 --> 00:17:28,440
+مفهومة شباب بالإنزين
+
+205
+00:17:28,440 --> 00:17:30,920
+يبدأ يشتغل على هذه وبالتالي بيحاول يفرق ل fire
+
+206
+00:17:30,920 --> 00:17:36,740
+indication طيب واحد عنده بتحكم بالممشيطات
+
+207
+00:17:36,740 --> 00:17:40,580
+والمثبتات بيعمل regulation ولا بيعملش؟ بيعمل
+
+208
+00:17:40,580 --> 00:17:48,640
+regulation أخر حاجة وهذا دور أساسي صحيح ال nitric
+
+209
+00:17:48,640 --> 00:17:52,280
+oxide control blood fluidity هو الذي يتحكم في
+
+210
+00:17:52,280 --> 00:17:59,580
+سيولة الدمو هذه أثبتت من خلال فحص كلكوا سمعتوا فيه
+
+211
+00:17:59,580 --> 00:18:02,600
+هو ال bleeding time صح؟ سمعتوا بأن ال bleeding
+
+212
+00:18:02,600 --> 00:18:09,540
+time هي السرعة أو زمن النزف ماشي؟ زمن النزف اسمه
+
+213
+00:18:09,540 --> 00:18:14,400
+bleeding time واحد بنجرح و بيشوف الزمن اللي بتجلط
+
+214
+00:18:14,400 --> 00:18:19,460
+فيه أو بيصير فيه جلطة هذا اسمه زمن النزف ماشي؟
+
+215
+00:18:19,460 --> 00:18:25,950
+فهذا الفحصتشوف درسنا في وجود اللي هو الـ Nitric
+
+216
+00:18:25,950 --> 00:18:29,350
+Oxide لجناه إيش؟ الـ Nitric Oxide بيزوده، لما
+
+217
+00:18:29,350 --> 00:18:31,710
+يزوده يعني زود لـ Fluidity، يعني من الـ
+
+218
+00:18:31,710 --> 00:18:35,370
+Anticoagulant ولا لأ؟ وبالتالي زود اللي هو سيولة
+
+219
+00:18:35,370 --> 00:18:39,830
+الدم، ماشي؟ ياخده مرضى اليرنكولات، لأ لأ لأ لأ، لأ
+
+220
+00:18:39,830 --> 00:18:45,670
+مرضوه التاني، ماشي؟ ده الـ Aspirin المفهوم مشابه،
+
+221
+00:18:45,670 --> 00:18:50,370
+يبقى هالي تلخيص ليش؟ للـ Function of Nitric Oxide
+
+222
+00:18:52,140 --> 00:18:56,780
+أول هذه العناصر وانظر التاني يا شباب اللذي يفرز من
+
+223
+00:18:56,780 --> 00:19:03,340
+ال endothelial cell بروستا
+
+224
+00:19:03,340 --> 00:19:08,700
+سايكلن بروستا سايكلن يا شباب هو عبارة عن product
+
+225
+00:19:08,700 --> 00:19:12,820
+of arachidonic acid بتهيألي أخدته ال arachidonic
+
+226
+00:19:12,820 --> 00:19:17,820
+acid في ال biochemistry صح؟ بس بطلت روسكوش نسينا
+
+227
+00:19:17,820 --> 00:19:22,660
+إيه شو ال arachidonic acid؟هو عبارة عن Unsaturated
+
+228
+00:19:22,660 --> 00:19:27,820
+Fatty Acid، من أين جاء؟ بيجي من الـ Phospholipid
+
+229
+00:19:27,820 --> 00:19:31,880
+Membrane طب وين موجود ال Phospholipid Membrane؟ هو
+
+230
+00:19:31,880 --> 00:19:36,000
+معظم .. هو Membrane، ده معظم الخلايا، معظم إيش؟
+
+231
+00:19:36,000 --> 00:19:40,420
+الخلايا، مين بيحولوا العرقدونكاسيد ل Phospholipid؟
+
+232
+00:19:40,420 --> 00:19:45,680
+كانوا اللي هو ال .. اللي .. اللي .. اللي .. اللي
+
+233
+00:19:45,680 --> 00:19:45,980
+.. اللي .. اللي .. اللي .. اللي .. اللي .. اللي ..
+
+234
+00:19:45,980 --> 00:19:45,980
+اللي .. اللي .. اللي .. اللي .. اللي .. اللي ..
+
+235
+00:19:45,980 --> 00:19:46,180
+اللي .. اللي .. اللي .. اللي .. اللي .. اللي ..
+
+236
+00:19:46,180 --> 00:19:46,180
+اللي .. اللي .. اللي .. اللي .. اللي .. اللي ..
+
+237
+00:19:46,180 --> 00:19:46,220
+اللي .. اللي .. اللي .. اللي .. اللي .. اللي ..
+
+238
+00:19:46,220 --> 00:19:50,040
+اللي .. اللي .. اللي
+
+239
+00:19:50,040 --> 00:19:55,780
+.. اللمشي و جيت حمشوف ال mechanism بعيد تاني
+
+240
+00:19:55,780 --> 00:20:00,360
+phospholipid
+
+241
+00:20:00,360 --> 00:20:10,560
+موجود في ال membrane of most of the cells بيشتغل
+
+242
+00:20:10,560 --> 00:20:13,580
+عليه ال phospholipase A2 بيحوله ل arachidonic acid
+
+243
+00:20:13,580 --> 00:20:18,730
+ال arachidonic acid بلعب دور كبير فيas
+
+244
+00:20:18,730 --> 00:20:25,530
+anticoagulant لأن مخلفاته بتشتغل و بتلعب ك smooth
+
+245
+00:20:25,530 --> 00:20:32,790
+muscle relaxant and vasodilator كيف ..شوفوا
+
+246
+00:20:32,790 --> 00:20:37,510
+الميكانيزم هنا increase cyclic A and B هناك كان
+
+247
+00:20:37,510 --> 00:20:42,370
+يعمل increase layer لcyclic G and B مظبوط؟ هذا
+
+248
+00:20:42,370 --> 00:20:46,910
+يعمل increase لcyclic A and B كيف؟ من أين بيجي ال
+
+249
+00:20:46,910 --> 00:20:51,170
+cyclic A and B؟هذا ميكانيزم أخدته قبل هيك في ال
+
+250
+00:20:51,170 --> 00:20:58,150
+biochemistry وهو بيجي من ال ATP بيتحول ل Cyclic
+
+251
+00:20:58,150 --> 00:21:06,990
+AMP بواسطة ال adenylate cyclase enzyme صح؟ مش هذا
+
+252
+00:21:06,990 --> 00:21:10,650
+الكلام أخدته؟ منيا فا منيا وبالتالي لما بيزيد ال
+
+253
+00:21:10,650 --> 00:21:16,590
+Cyclic AMP بيعمل muscle relaxation Vasodilation
+
+254
+00:21:17,350 --> 00:21:21,450
+بازو ديلاتيشي مظبوط وهلقيت هنشوف كيف اللي بيصير
+
+255
+00:21:21,450 --> 00:21:24,930
+كمان بعمل انهيجت platelet adhesion and aggregation
+
+256
+00:21:24,930 --> 00:21:29,610
+وبالتالي كل الوظائف يعبر عن إيه؟ anticoagulant
+
+257
+00:21:29,610 --> 00:21:35,370
+effect إلها anticoagulant effect نشوف كيف بتتم
+
+258
+00:21:35,370 --> 00:21:43,210
+تصنيع ال prostacyclin وهذا عبارة عن ممبرين هذا
+
+259
+00:21:43,210 --> 00:21:46,830
+عبارة عن ممبرين في phospholipid
+
+260
+00:21:48,690 --> 00:21:55,470
+فهي الانزين Phospholipid Phospholipase A2 بيحول
+
+261
+00:21:55,470 --> 00:21:59,750
+الـ Phospholipid إلى Arachidonic Acid، شو حول؟
+
+262
+00:21:59,750 --> 00:22:06,090
+Phospholipid إلى Arachidonic Acid وطلّح مجموعة من
+
+263
+00:22:06,090 --> 00:22:12,490
+إياش من الـ Prostaglandinبيسموها collectively
+
+264
+00:22:12,490 --> 00:22:16,670
+endoperoxides شو بيسموها؟ endoperoxides هي عبارة
+
+265
+00:22:16,670 --> 00:22:21,550
+عن multiple intermediate products بتصير تتكون لها
+
+266
+00:22:21,550 --> 00:22:26,850
+وظائف مختلفة حسب ال cell membrane اللي بنحكي عنه
+
+267
+00:22:26,850 --> 00:22:33,730
+لأن ال cell membrane في ال endothelium ال product
+
+268
+00:22:33,730 --> 00:22:40,070
+بتختلف عن ال platelet بتختلف عن أي خلاية أخرىالـ
+
+269
+00:22:40,070 --> 00:22:44,430
+slide اللى بعدها بتوضح الموضوع تماما ايوه ال
+
+270
+00:22:44,430 --> 00:22:49,650
+arachidonic acid تحول الى مجموعة من ايش ال
+
+271
+00:22:49,650 --> 00:22:53,830
+intermediate product اللى هى endoperoxides مين
+
+272
+00:22:53,830 --> 00:22:58,990
+حولها؟ انزايم تانى ايش اسمه؟ Cyclooxygenase
+
+273
+00:22:58,990 --> 00:23:03,970
+arachidonic acid تحول الى endoperoxide by air و
+
+274
+00:23:03,970 --> 00:23:07,930
+Cyclooxygenase وقولناالـ phospholipid موجود في
+
+275
+00:23:07,930 --> 00:23:14,330
+cell membrane مختلفة ماشي membrane of different
+
+276
+00:23:14,330 --> 00:23:23,730
+cells خلايا مختلفة ففي ال endothelial cell في ال
+
+277
+00:23:23,730 --> 00:23:28,790
+endothelial cell membrane فيه أنزيم اسمه
+
+278
+00:23:28,790 --> 00:23:32,590
+prostacyclin synthetase شو بيعمل؟ بيحول ال
+
+279
+00:23:32,590 --> 00:23:38,270
+endoperoxides إلى مين؟ إلى prostacyclinI2 اللي هو
+
+280
+00:23:38,270 --> 00:23:42,110
+النوع التاني في وسط الساكتر، فيه هناك جمعه، شو
+
+281
+00:23:42,110 --> 00:23:48,490
+بيعمل؟ هذا هو، inhibits, platelet aggregation ال
+
+282
+00:23:48,490 --> 00:23:54,870
+vasodilator، بيشتغل كإيش؟ vasodilator، يبقى ال
+
+283
+00:23:54,870 --> 00:23:58,830
+endothelial إيش وظيفتها؟ normal endothelial cell
+
+284
+00:23:59,690 --> 00:24:04,250
+continuous production of prostacyclin اللي إيش
+
+285
+00:24:04,250 --> 00:24:12,830
+بيشتغل و بيعمل as بازو دايلاتر ماشي وبالتالي ال
+
+286
+00:24:12,830 --> 00:24:16,790
+general effect هي عبارة عن anticoagulant effect
+
+287
+00:24:16,790 --> 00:24:21,970
+بالمقابلة شبه في البليتليت الموضوع مختلف لأن كل
+
+288
+00:24:21,970 --> 00:24:25,950
+خلية وظيفتها مختلفة عن الأخرى في البليتليت مافي
+
+289
+00:24:25,950 --> 00:24:30,130
+prostacyclin synthetaseفي انزيم تاني اسمه
+
+290
+00:24:30,130 --> 00:24:36,410
+thromboxane synthetase thromboxane synthetase
+
+291
+00:24:36,410 --> 00:24:40,470
+بيحول الاندوبروكسايد الى prostate الى thromboxane
+
+292
+00:24:40,470 --> 00:24:45,890
+A2 الى اياش الى thromboxane A2 و ال thromboxane A2
+
+293
+00:24:45,890 --> 00:24:48,610
+بيحكي الاندوبروكسايد بيحكي الاندوبروكسايد بيحكي
+
+294
+00:24:48,610 --> 00:24:51,130
+الاندوبروكسايد بيحكي الاندوبروكسايد بيحكي ال
+
+295
+00:24:57,110 --> 00:25:01,290
+ما يحدث في الـ Endothelial Cystosis 100% هذا
+
+296
+00:25:01,290 --> 00:25:06,350
+الوظيفة و هذا الوظيفة فبعد اكتشاف هذا ال ميكانيزم
+
+297
+00:25:06,350 --> 00:25:15,830
+جاء العلماء بدنا نستفيد من هذا ال ميكانيزم كيف؟ في
+
+298
+00:25:15,830 --> 00:25:20,510
+الوضع الطبيعي دايما، الناس اللي عندهم جلطات متكررة
+
+299
+00:25:22,440 --> 00:25:26,880
+ماشي او increase the predisposition to clot
+
+300
+00:25:26,880 --> 00:25:31,600
+formation عندهم عوامل بتزود ال .. ال .. الامكانية
+
+301
+00:25:31,600 --> 00:25:35,160
+تحدث الجلطة يا عزيزي بدنا نديهم مواد تمنع هذه
+
+302
+00:25:35,160 --> 00:25:39,480
+الجلطة طب كيف بدنا نمنعها؟ قبل ما واجهنا ذراع من
+
+303
+00:25:39,480 --> 00:25:45,200
+هذه لأدرع و سبنا التاني يشتغل أكيد هيعمل Anti
+
+304
+00:25:45,200 --> 00:25:50,300
+-coagulation وبالفعل عملواالـ drug اللي كلكم
+
+305
+00:25:50,300 --> 00:25:53,880
+بتعرفوه هو ال baby aspirin baby aspirin مش بياخدوه
+
+306
+00:25:53,880 --> 00:25:58,660
+كل اخترية ليش؟ بينصح بياخدوه بعد الأربعين ليش؟
+
+307
+00:25:58,660 --> 00:26:04,100
+بيزود سيولة الدم كيف؟ كانوا بيشتغلوا فقط على ذراع
+
+308
+00:26:04,100 --> 00:26:08,160
+ال endothelial cells sorry ال platelet ولا يعمل
+
+309
+00:26:08,160 --> 00:26:11,180
+على ذراع ال endothelial يعني بيخلوا .. بيسيبوا ال
+
+310
+00:26:11,180 --> 00:26:15,760
+endothelial تشتغل و بيوقفوا ال platelet؟ نعم كيف
+
+311
+00:26:15,760 --> 00:26:22,330
+تم هذا الموضوع؟كل اللي عملوه جمب الأسبرين بجوعات
+
+312
+00:26:22,330 --> 00:26:28,590
+مختلفة الأسبرين العادي اللي هو تركيزه 500 ميلي
+
+313
+00:26:28,590 --> 00:26:33,930
+جرام بيشتغل as Anti-inflammatory drug وبيوقف
+
+314
+00:26:33,930 --> 00:26:37,050
+الذراعين
+
+315
+00:26:37,050 --> 00:26:42,010
+بيعمل inhibition للاتنين كيف؟ ده لو بيعمل
+
+316
+00:26:42,010 --> 00:26:45,690
+inhibition للـcyclooxygenase enzyme من فوق،
+
+317
+00:26:45,690 --> 00:26:50,560
+inhibition للـcyclooxygenase enzymeفالتنين بيجفوا،
+
+318
+00:26:50,560 --> 00:26:54,320
+لكن احنا بدناش التنين يجفوا، بدنا واحد بس اللي هو
+
+319
+00:26:54,320 --> 00:26:59,980
+ال platelet فبدوا يقللوا في الجرعات، جربوا جرعات
+
+320
+00:26:59,980 --> 00:27:04,980
+متباينة، متفاوتة لغاية ما وصلوا، نزلوا من خمسمائة
+
+321
+00:27:04,980 --> 00:27:08,520
+milligram إلى حوالي تمانين إلى مائة milligram اللي
+
+322
+00:27:08,520 --> 00:27:12,700
+هو سموه baby aspirin، لاجوا مشكلة على ال platelet
+
+323
+00:27:13,280 --> 00:27:17,540
+وبشتغلش على مين؟ يعني ال industrial بتضطر تطلع
+
+324
+00:27:17,540 --> 00:27:22,940
+Prostacycline لكن البلاي بلاي بتجف، بتقدرش تطلع
+
+325
+00:27:22,940 --> 00:27:29,560
+ايه؟ Thrombocynator يعني المريض او الإنسان اللي
+
+326
+00:27:29,560 --> 00:27:32,560
+بياخد baby aspirin انه اتخذ as a prophylactic
+
+327
+00:27:32,560 --> 00:27:38,670
+بالمناسبةبعد الأربعين يُنصح أخده كوقاية وليس كعلاج
+
+328
+00:27:38,670 --> 00:27:43,270
+كيف؟ على أساس يمنع حدوث الجلطات أيش اللي بيعمله
+
+329
+00:27:43,270 --> 00:27:47,150
+بيعطل ال platelet اللي موجودة في الجسم لما بيعطلها
+
+330
+00:27:47,150 --> 00:27:52,670
+ماشي بيبطل ينتج ال thromboxane A2 وبالتالي يعني
+
+331
+00:27:52,670 --> 00:27:55,690
+بيعطل هذا الميكانزم وبالتالي مايصيرش فيه platelet
+
+332
+00:27:55,690 --> 00:28:01,470
+aggregation لكن مشتغلش على ال endothelial وبالتالي
+
+333
+00:28:01,470 --> 00:28:04,930
+ال endothelium cellبتبتدل شغالة فبتطلع من وسط ال
+
+334
+00:28:04,930 --> 00:28:08,370
+cycling وبتطلع فى anticoagulant effect عرفوه ما يا
+
+335
+00:28:08,370 --> 00:28:13,310
+شباب؟ عيد تانى؟ عيد تانى؟ لكن الدكتور الدعوات مش
+
+336
+00:28:13,310 --> 00:28:16,790
+الأثار جانبية إذا بتاخد يعنى ك .. ال Aspirin ك
+
+337
+00:28:16,790 --> 00:28:21,050
+Aspirin يا شباب ال Aspirin ك Aspirin لغاية الآن
+
+338
+00:28:21,050 --> 00:28:31,590
+مافيش علاج مخترق له نسبة أمان زى ال Aspirinعشان كل
+
+339
+00:28:31,590 --> 00:28:35,190
+العلاجات اللى اليوم بيطلعوها بيقولوا not
+
+340
+00:28:35,190 --> 00:28:37,870
+comparable to Aspirin يعني ما اتجارنهوش بال
+
+341
+00:28:37,870 --> 00:28:41,590
+Aspirin لأنه the safest drug لغاية الآن يعني اكثر
+
+342
+00:28:41,590 --> 00:28:49,030
+ال drugs امانا ماشي ايه له بعض ال effect على بعض
+
+343
+00:28:49,030 --> 00:28:53,590
+ال drugs يعني الإنسان لو بياخده لحاله مالواشش side
+
+344
+00:28:53,590 --> 00:28:57,880
+effect لكن لو أخده مع علاجات أخرىفي حاجة بيسموها
+
+345
+00:28:57,880 --> 00:29:03,280
+drug-drug interaction فاناكو kinetics mechanism
+
+346
+00:29:03,280 --> 00:29:06,680
+فبيبدأ يأثر على علاجات أخرى و أهم العلاجات اللي
+
+347
+00:29:06,680 --> 00:29:09,940
+ممكن يأثر عليها هي علاجات الضغط الناس اللي بتاخد
+
+348
+00:29:09,940 --> 00:29:15,920
+الضغط و الناس اللي بتاخد العلاج لل .. لل .. لل
+
+349
+00:29:15,920 --> 00:29:22,780
+uric acid اللي هو لل gout عارف؟ انما هو safe انما
+
+350
+00:29:22,780 --> 00:29:31,710
+هو ايش؟ safe حد يندي سؤال؟هي التاني، العنصر التاني
+
+351
+00:29:31,710 --> 00:29:37,190
+خدنا الـNitric Oxide وNitric Oxide التالت هو
+
+352
+00:29:37,190 --> 00:29:43,890
+Indothelium derived hyperpolarizing factor وهو
+
+353
+00:29:43,890 --> 00:29:48,210
+عبارة عن برضه product of Indothelium that induce
+
+354
+00:29:48,210 --> 00:29:51,670
+hyperpolarization شو بتعمل؟ بتعمل
+
+355
+00:29:51,670 --> 00:29:59,340
+hyperpolarization والمحصلة relaxation vascularهذا
+
+356
+00:29:59,340 --> 00:30:03,760
+هو مصمم للتنسيق وهو
+
+357
+00:30:03,760 --> 00:30:04,240
+مصمم للتنسيق وهو مصمم للتنسيق وهو مصمم للتنسيق وهو
+
+358
+00:30:04,240 --> 00:30:05,580
+مصمم للتنسيق وهو مصمم للتنسيق وهو مصمم للتنسيق وهو
+
+359
+00:30:05,580 --> 00:30:09,880
+مصمم للتنسيق وهو مصمم للتنسيق وهو مصمم للتنسيق وهو
+
+360
+00:30:09,880 --> 00:30:12,560
+مصمم للتنسيق وهو مصمم للتنسيق وهو مصمم للتنسيق وهو
+
+361
+00:30:12,560 --> 00:30:18,200
+مصمم للتنسيق وهو مصمم للتنسيق وهو مصمم للتنسيق وهو
+
+362
+00:30:18,200 --> 00:30:21,100
+مصمم للتنسيق
+
+363
+00:30:22,790 --> 00:30:25,550
+والميكانيزم الصحيح .. لغاية اليوم ماعرفش ميكانيزم
+
+364
+00:30:25,550 --> 00:30:30,690
+بالظبط كيف بيشتغل لكن .. ال effect of .. يعني
+
+365
+00:30:30,690 --> 00:30:38,390
+نتائج وجوده .. دلوقتي involves activation of
+
+366
+00:30:38,390 --> 00:30:44,050
+potassium channels بينشط ال potassium channels ال
+
+367
+00:30:44,050 --> 00:30:49,050
+potassium channel and it's different from .. from
+
+368
+00:30:49,050 --> 00:30:55,470
+prostacyclinوNitric Oxide، ميكانيزمه مختلف تماما،
+
+369
+00:30:55,470 --> 00:31:00,410
+لكن بيعمل له نفس التأثير، بيعمل Vascular and
+
+370
+00:31:00,410 --> 00:31:03,970
+Smooth Muscle Relaxation، بيعمله Vascular and
+
+371
+00:31:03,970 --> 00:31:08,570
+Smooth Muscle Relaxation، ونشوف هذا الكلاب جاليا
+
+372
+00:31:08,570 --> 00:31:11,730
+في هذه ال slide يا شباب، هذه ال slide برضه مش
+
+373
+00:31:11,730 --> 00:31:14,950
+موجودة عندكم، ان شاء الله بنعززكم يهتموا عليها،
+
+374
+00:31:14,950 --> 00:31:18,950
+شوفوا التلاتةشوفوا إيه إيش، التلاتة الآن، حاكينا
+
+375
+00:31:18,950 --> 00:31:22,230
+عن الاتريك أوكسايد و Prostacyte و Endothelium
+
+376
+00:31:22,230 --> 00:31:25,410
+-derived hyperbolarizing factor كيف يجوا و من وين
+
+377
+00:31:25,410 --> 00:31:31,890
+بتكون، ماشي؟ هذا الملخص Agonist، هذا اللي يتعلق عن
+
+378
+00:31:31,890 --> 00:31:36,750
+Endothelial cell، هو هذا الطبق المبطل، Agonist،
+
+379
+00:31:36,750 --> 00:31:37,650
+مسك في Receptor
+
+380
+00:31:45,240 --> 00:31:50,020
+فزوّد الكالشيوم في داخل الخلية زوّد الكالشيوم في
+
+381
+00:31:50,020 --> 00:31:54,100
+داخل الخلية شو صار نشط ميكانيزم اسمه calcium
+
+382
+00:31:54,100 --> 00:32:01,180
+calmodulin dependent mechanism بغض النظر عن هذا
+
+383
+00:32:01,180 --> 00:32:04,980
+الموضوع انه انما الكالشيوم بدأ يرتبط ببعض
+
+384
+00:32:04,980 --> 00:32:10,880
+البروتينات اللي موجودة في الخلية وبدأ يكوّن هذه
+
+385
+00:32:10,880 --> 00:32:15,200
+المواد التلاتة الكالشيوم لما دخل شوفوا ايش عملنمر
+
+386
+00:32:15,200 --> 00:32:21,540
+واحد اشتغل على الارجينين انتبهوا عنده عشان اقول
+
+387
+00:32:21,540 --> 00:32:26,100
+الارجينين وحاولوا يقولوا نيترك اوكسايت في وجود ايش
+
+388
+00:32:26,100 --> 00:32:35,120
+نيترك اوكسايت ماشي واشتغل على بروستا يعني يكوّن
+
+389
+00:32:35,120 --> 00:32:38,500
+بروستا سايكل باياش
+
+390
+00:32:43,510 --> 00:32:48,590
+activation أو اللى هو تحويل الاراكدونك أسد بواسطة
+
+391
+00:32:48,590 --> 00:32:52,470
+الـcyclooxygenase إلى اندوبروكسايت ومفروض تساكن
+
+392
+00:32:52,470 --> 00:32:58,730
+ميكانيزم التانى اللى تاوى شوفناه واشتغل أيضا على
+
+393
+00:32:58,730 --> 00:33:05,030
+الاراكدونك أسد ماشي هايم فى وجود الستوكروم P450
+
+394
+00:33:05,030 --> 00:33:09,050
+وحوره إلى إيش إلى endothelial derived
+
+395
+00:33:09,050 --> 00:33:13,040
+hyperpolarizing fatفطبع Indothelium derived from
+
+396
+00:33:13,040 --> 00:33:18,220
+Ibergolabazine fact مافهومش بقى، التلاتة في
+
+397
+00:33:18,220 --> 00:33:23,880
+البداية تكوموا في داخل ال Indothelium cell تحت
+
+398
+00:33:23,880 --> 00:33:31,240
+تأثير ال calcium influx، مظبوط؟ يعني شوفنا ال
+
+399
+00:33:31,240 --> 00:33:34,740
+arachidinic acid كيف اتحول ل prostate cyclin ال
+
+400
+00:33:34,740 --> 00:33:39,400
+arginine كيف اتحول ل nitric oxideثم ال arachidonic
+
+401
+00:33:39,400 --> 00:33:42,140
+acid كيف طلع انها endothelia derived hyperbolic
+
+402
+00:33:42,140 --> 00:33:48,400
+acid فمافهومش بقى هذه المواد بسلها diffusing على
+
+403
+00:33:48,400 --> 00:33:53,340
+الطبقات اللي تحتها diffusing على ايه؟ طبقة اللي
+
+404
+00:33:53,340 --> 00:33:57,980
+تحتها في blood vessels فدرستها cycling شو عمل؟
+
+405
+00:33:57,980 --> 00:34:03,240
+ايوه عمل حول ال ATP إلى cyclic AMP بوسطة ال
+
+406
+00:34:03,240 --> 00:34:11,660
+adenylate cycling شو عمل هذا؟ده نقلل الكالشيو لما
+
+407
+00:34:11,660 --> 00:34:16,720
+قلل الكالشيو نعمل muscle relaxation فاهمين عليّ؟
+
+408
+00:34:16,720 --> 00:34:20,540
+لما قلل الكالشيو نعمل muscle relaxation طيب، هذا
+
+409
+00:34:20,540 --> 00:34:27,060
+واحد، نبغى اتنين ال .. ال .. إيش اسمه؟ التاني ال
+
+410
+00:34:27,060 --> 00:34:27,800
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+411
+00:34:27,800 --> 00:34:28,480
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+412
+00:34:28,480 --> 00:34:28,560
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+413
+00:34:28,560 --> 00:34:29,060
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+414
+00:34:29,060 --> 00:34:29,720
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+415
+00:34:29,720 --> 00:34:30,120
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+416
+00:34:30,120 --> 00:34:30,120
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+417
+00:34:30,120 --> 00:34:30,120
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+418
+00:34:30,120 --> 00:34:35,750
+.. ال .. ال .. ال .. ال ..الى Cyclic GMP بواسطة
+
+419
+00:34:35,750 --> 00:34:40,310
+Sodium Guanylate Cyclase enzyme قلل الكالسيوم ايش
+
+420
+00:34:40,310 --> 00:34:46,310
+عمل هذا؟ قلل الكالسيوم وعمل smooth muscle
+
+421
+00:34:46,310 --> 00:34:51,590
+relaxation والتالت اشتغل على potassium channel
+
+422
+00:34:51,590 --> 00:34:55,530
+ماشي؟ شو عمل؟ هو ال potassium بطلع من الخلية و لا
+
+423
+00:34:55,530 --> 00:35:01,970
+بخش؟ بطلع عمل hyperpolarization وهذا قلل الكالسيوم
+
+424
+00:35:02,440 --> 00:35:08,140
+ولمّا قلل الكالشيون، فهمين الشباب، أي ملخص للتلاتة
+
+425
+00:35:08,140 --> 00:35:13,200
+مع بعض، ملخص لإيش؟ للتلاتة مع بعض، كلهم تكوّنوا في
+
+426
+00:35:13,200 --> 00:35:17,120
+داخل ال endothelium cell، فمثلا لهم diffusion،
+
+427
+00:35:17,120 --> 00:35:20,840
+تحت، قللوا الكالشيون، فعملوا smooth muscle
+
+428
+00:35:20,840 --> 00:35:23,500
+relaxation، بغض نظر عن ميكانيزم اللي هيشكلوا، هذا
+
+429
+00:35:23,500 --> 00:35:29,680
+ميكانيزم مختلف، مفهوم؟ حد عنده سؤال؟ طب، ممتاز
+
+430
+00:35:35,180 --> 00:35:39,040
+يبقى الاندوثيليا من الهيموستاسيز normally بتشتغل ك
+
+431
+00:35:39,040 --> 00:35:43,860
+non-thropogenic normally بتشتغل ك anticoagulant
+
+432
+00:35:43,860 --> 00:35:47,980
+صح؟ اللي هى anticoagulant effect طيب ورث damaged
+
+433
+00:35:47,980 --> 00:35:51,880
+ها نشوف ايش ال damaging يبثيل ال endothelial cell
+
+434
+00:35:51,880 --> 00:35:55,940
+لما اسمها damaging damaged endothelium has
+
+435
+00:35:55,940 --> 00:36:00,700
+predominantly pro-clotting properties اتحولت إلى
+
+436
+00:36:00,700 --> 00:36:08,340
+ايش؟ from anticoagulant إلىكواجولات ماشي from anti
+
+437
+00:36:08,340 --> 00:36:12,380
+-coagulant إلى pro-coagulant فاهمين عليها؟ لأنه
+
+438
+00:36:12,380 --> 00:36:16,320
+صدرها دمجين طب كيف هذا الكلام بيصير؟ قالوا في
+
+439
+00:36:16,320 --> 00:36:21,080
+حاجتين بيصير الحاجة الأولانية بيصير في release لل
+
+440
+00:36:21,080 --> 00:36:25,500
+tissue factor ال tissue factor يا شباب تغير عن
+
+441
+00:36:25,500 --> 00:36:29,260
+مادة ممنوعة تكون في الدم ممنوعة لأنها منشرة عليه
+
+442
+00:36:29,260 --> 00:36:32,480
+ال coagulation cascade mechanism طب وين موجودة؟
+
+443
+00:36:32,480 --> 00:36:37,240
+قالوا في ال sub endothelial layerماشي وفي الـ
+
+444
+00:36:37,240 --> 00:36:40,460
+endothelial باكل هي mainly في ال sub endothelial
+
+445
+00:36:40,460 --> 00:36:44,640
+layer فيوم تنمزع ال endothelium شو بده يتبين؟ ال
+
+446
+00:36:44,640 --> 00:36:47,140
+sub endothelium وبالتالي بتطلع endothelium tissue
+
+447
+00:36:47,140 --> 00:36:49,640
+factor ولا لا؟ ال sub endothelium فبتتحول إليها
+
+448
+00:36:49,640 --> 00:36:53,400
+Procoagulant بتحول لإيه؟ ل Procoagulant هي release
+
+449
+00:36:53,400 --> 00:36:56,940
+of tissue factor from activated endothelium and
+
+450
+00:36:56,940 --> 00:37:01,560
+sub endothelium يوم تتنشط يعني سلاح ال damaging
+
+451
+00:37:01,560 --> 00:37:05,540
+بتتنشط و بتطلع tissue factorوالـ Subendothelium
+
+452
+00:37:05,540 --> 00:37:09,820
+بتطلع تشوف تشوف .. مفهوم الشباب؟ و هو بتتحول
+
+453
+00:37:09,820 --> 00:37:15,020
+لبروكوهاجرانت مرتين .. بيصير في الدم يلامس طبقة
+
+454
+00:37:15,020 --> 00:37:18,860
+جديدة .. طبقة المبطنة التحتانية .. و هذه فيها
+
+455
+00:37:18,860 --> 00:37:23,180
+كلاجن .. ماشي؟ و هذه إيش؟ فيها كلاجن sub-sub ..
+
+456
+00:37:23,180 --> 00:37:27,840
+وشو بعمل الكلاجن؟ قالوا بعمل adhesion .. لميه؟
+
+457
+00:37:27,840 --> 00:37:32,820
+للـplatinumبعمل adhesion لمين؟ للي بليتلت ويوم
+
+458
+00:37:32,820 --> 00:37:36,120
+مالي بليتلت تنمسي بتتمشي طولها، بيصير لها
+
+459
+00:37:36,120 --> 00:37:39,780
+activation وبالتالي بيصير في aggregation و clot
+
+460
+00:37:39,780 --> 00:37:45,200
+formation، يبقى تكونات تحولت الخلايا from procoil
+
+461
+00:37:45,200 --> 00:37:49,880
+.. from anticoagulant إلى procoil، المفهوم الشباب
+
+462
+00:37:51,310 --> 00:37:55,470
+يبقى هيكة افهمنا ان ال Indothelium cell هي non
+
+463
+00:37:55,470 --> 00:37:57,910
+-thrombogenic لكن لما سلها damage بتحول لها
+
+464
+00:37:57,910 --> 00:38:01,290
+thrombogenic ليش non-thrombogenic normally في
+
+465
+00:38:01,290 --> 00:38:04,530
+الوضع الطبيعي لإنها بتفرز anticoagulant substance
+
+466
+00:38:04,530 --> 00:38:07,850
+وشوفنا ال anticoagulant هو من وين بتيجي وكيف
+
+467
+00:38:07,850 --> 00:38:12,490
+بتشتغل ماشي؟ كيف بتتكون وكيف بتشتغل ثم ال
+
+468
+00:38:12,490 --> 00:38:17,260
+anticoagulant شوفنا هذه الموضوع حد عنده سؤال؟أخر
+
+469
+00:38:17,260 --> 00:38:22,560
+نقطة كلاجن كلاجن هناخدها ان شاء الله في التفصيل
+
+470
+00:38:22,560 --> 00:38:26,880
+الممكن في ال primary hemostasis يوم يكون فيه blood
+
+471
+00:38:26,880 --> 00:38:33,220
+vessel و يسمه مزع ماشي الدم اللي ماشي هنا هينمسه
+
+472
+00:38:33,220 --> 00:38:37,620
+طبقة جديدة هذه الطبقة فيها كلاجن و الدم فيه
+
+473
+00:38:37,620 --> 00:38:45,110
+platelet و عوامل تجلد فبصير عفوان اللي هوالانطباط
+
+474
+00:38:45,110 --> 00:38:48,370
+أو بين الـ Platelet domain اللي هي الـCollagen
+
+475
+00:38:48,370 --> 00:38:51,670
+substance وبالتالي بيصير فيه Procoagulant مفهوم
+
+476
+00:38:51,670 --> 00:38:58,670
+طيب خلّينا نشوف تلخيص لهذا الكلام summary of
+
+477
+00:38:58,670 --> 00:39:03,850
+important vascular function نمر واحد اتفقنا على
+
+478
+00:39:03,850 --> 00:39:07,990
+انه ال vascular endothelium بتطلع لبرستا ساكليم
+
+479
+00:39:07,990 --> 00:39:11,210
+وشوفنا إيش هذا إيش
+
+480
+00:39:24,650 --> 00:39:28,350
+الأولاني دلنا vasodilatation وانهيبت ايه؟ انهيبش
+
+481
+00:39:28,350 --> 00:39:32,490
+ايه بلت لجري التاني ثرمبوكسين A2 بيشتغل على البلات
+
+482
+00:39:32,490 --> 00:39:35,850
+بيطلع
+
+483
+00:39:35,850 --> 00:39:42,360
+من البلات وبيكون ايه؟بعمل as a constrictor و بعمل
+
+484
+00:39:42,360 --> 00:39:45,540
+platelet aggregate بشتغل كاياش، platelet aggregate
+
+485
+00:39:45,540 --> 00:39:51,980
+طيب، في ال inflammatory reaction مشغولة فيه ساعته
+
+486
+00:39:51,980 --> 00:39:56,780
+القرن اللي بتطلع زي ال endothelium legend adhesion
+
+487
+00:39:56,780 --> 00:40:00,620
+molecule و ال intracellular
+
+488
+00:40:02,690 --> 00:40:07,910
+أدهيجين موليكيولز يعملون أدهيجين للكوسايت أدهيجين
+
+489
+00:40:07,910 --> 00:40:12,550
+بلعبوا دور كبير جدا في الفاجو سايتوسيز الشباب لإن
+
+490
+00:40:12,550 --> 00:40:19,150
+هدولا المواد بيعملوا أدهيجين للكوسايت
+
+491
+00:40:19,150 --> 00:40:22,170
+ويوم ما يصير في أدهيجين للكوسايت
+
+492
+00:40:24,720 --> 00:40:29,260
+بصير فيه إيش؟ بصير فيه بعد ال .. هذه أول خطوة
+
+493
+00:40:29,260 --> 00:40:32,980
+بخطوات ال إيش؟ ال phagocytosis adhesion لل blood
+
+494
+00:40:32,980 --> 00:40:37,240
+vessels و ثم بتخترق لل blood vessels، diabetes ثم
+
+495
+00:40:37,240 --> 00:40:42,140
+chemotaxis، بتتحرك لغاية ما تصل لل antigen، ماشي؟
+
+496
+00:40:42,140 --> 00:40:46,480
+و هناك بتعمل phagocytosis مهم جدا ل .. ك
+
+497
+00:40:46,480 --> 00:40:50,300
+inflammatory response inflammatory أو ك immune
+
+498
+00:40:50,300 --> 00:40:53,850
+responseان ال immune response وقبل ال inflammatory
+
+499
+00:40:53,850 --> 00:40:59,830
+reaction، مافهومش بقى، فمهمة جدا، هذه بتصاحب هال
+
+500
+00:40:59,830 --> 00:41:06,320
+vasoconstriction، فهمتوا عليا؟خانص الاخر ال
+
+501
+00:41:06,320 --> 00:41:08,620
+Vauvelie brand أخدناها المرة اللي فاتة Vauvelie
+
+502
+00:41:08,620 --> 00:41:11,580
+brand factor هو واحد من ال coagulation factor لما
+
+503
+00:41:11,580 --> 00:41:17,300
+قلتلكوا هذا علم ألماني و تلت في زيه شو بيعمل؟ هو
+
+504
+00:41:17,300 --> 00:41:20,720
+اللي بيمسك هو اللي بيلزق البليتلة من ال collagen
+
+505
+00:41:20,720 --> 00:41:24,780
+اللي توج كان عليه البليتلة تماشي من ال collagen
+
+506
+00:41:24,780 --> 00:41:27,400
+فبتاع اللي بيعمل ال procoagulant effect
+
+507
+00:41:31,320 --> 00:41:33,700
+أشي تاني يا شباب، tissue-factor pathway inhibitor
+
+508
+00:41:33,700 --> 00:41:36,680
+برضه بيطلع من الـ endothelium cell، هذا عبارة عن
+
+509
+00:41:36,680 --> 00:41:40,420
+Anticoagulant، Inhibitor لتشوفكتور، و هناخده من
+
+510
+00:41:40,420 --> 00:41:44,680
+الـ pathway قدامي، نمرطنية و اللي بعدها،
+
+511
+00:41:44,680 --> 00:41:48,260
+Thombomodulin، عبارة عن بروتيم، بيطلع، اللي له دور
+
+512
+00:41:48,260 --> 00:41:52,700
+كبير ك Anticoagulant Effect لإنه بنشط مادة بروتيم
+
+513
+00:41:52,700 --> 00:41:56,240
+تاني اسمه protein C و هذا عبارة عن Naturally
+
+514
+00:41:56,240 --> 00:42:01,130
+Occuring Inhibitorsبوجود كيان هلتركفي داخل جسم
+
+515
+00:42:01,130 --> 00:42:08,130
+الإنسان بنشطه وبيعمله anticoagulant
+
+516
+00:42:08,130 --> 00:42:12,150
+effect فما تشوف بلازمينوجين اكتفيته، مانتوا شوفت
+
+517
+00:42:12,150 --> 00:42:15,450
+ان ال fiberolytic activity ال substrate تبعها
+
+518
+00:42:15,450 --> 00:42:20,570
+بلازمينوجين بتحول لبلازمين ماشي؟ وهذا شو بعمل؟
+
+519
+00:42:20,570 --> 00:42:24,230
+activation لل fiberolysis يعني بندوّب جلد تكتير
+
+520
+00:42:25,140 --> 00:42:27,300
+وبالتالي هذا Anticoagulant او Procoagulant؟
+
+521
+00:42:27,300 --> 00:42:30,500
+Anticoagulant So my heparan sulfate and my
+
+522
+00:42:30,500 --> 00:42:34,120
+proteoglycan هذا الهيبرين الطبيعي اللي يتكوّن في
+
+523
+00:42:34,120 --> 00:42:39,240
+جسم الإنسان مين بيطلعوه؟ برضه ال Indothelium
+
+524
+00:42:39,240 --> 00:42:43,340
+Anticoagulant انتيكواجلان، يعني فيه دور مهم جدا
+
+525
+00:42:43,340 --> 00:42:47,080
+لأنه بنشط Antithrombin 3 برضه عبارة عن maturing
+
+526
+00:42:47,080 --> 00:42:51,840
+Anticoagulant tissue factor هو ال Procoagulant
+
+527
+00:42:51,840 --> 00:42:58,720
+الوحيد في هذه الصفحةماشي، tissue factor وهذا برضه
+
+528
+00:42:58,720 --> 00:43:03,200
+بيطلع بعد .. after damaging لل endothelial cell
+
+529
+00:43:03,200 --> 00:43:05,680
+بيصير لها damaging فبطلع ال tissue factor و في
+
+530
+00:43:05,680 --> 00:43:08,520
+الغالب ال damaging of endothelial cells ان احنا
+
+531
+00:43:08,520 --> 00:43:13,380
+هناخد اللي هو أسباب ال damage واحد من الأسباب اللي
+
+532
+00:43:13,380 --> 00:43:18,420
+هو ال inflammatory reaction بيطلع I interlock in
+
+533
+00:43:18,420 --> 00:43:24,660
+واحد with human necrosis factor they increasethe
+
+534
+00:43:24,660 --> 00:43:30,860
+production of tissue factor المفهوم
+
+535
+00:43:30,860 --> 00:43:34,800
+الشباب هذي عبارة عن ملخص للمواد التي تفرز زي ما
+
+536
+00:43:34,800 --> 00:43:37,160
+انتوا شايفين مجموعة منها Anticoagulant ومجموعة
+
+537
+00:43:37,160 --> 00:43:41,320
+منها Procoagulant في الوضع الطبيعي Anticoagulant
+
+538
+00:43:41,320 --> 00:43:45,720
+يوم مشير دمج تتحول إلى Procoagulant تتحول ليه؟
+
+539
+00:43:45,720 --> 00:43:49,880
+Procoagulant طيب نيجي نشوف أسباب
+
+540
+00:43:52,230 --> 00:43:56,930
+أسباب الـ endothelial injury جال الأسباب خمسة
+
+541
+00:43:56,930 --> 00:44:02,990
+الأسباب خمس أسباب دمرة واحدة inflammation و ال
+
+542
+00:44:02,990 --> 00:44:07,610
+inflammation نوعين يا إما due to infectious أو non
+
+543
+00:44:07,610 --> 00:44:11,230
+-infectious طبعا ال infectious في ال micro biology
+
+544
+00:44:11,230 --> 00:44:16,910
+أخدته كل أنواع المياشي infectious agents بكتيريا،
+
+545
+00:44:16,910 --> 00:44:23,510
+ويرس، ورسايل، whatever، ماشي؟الـ Non-infectious هي
+
+546
+00:44:23,510 --> 00:44:26,610
+غالبا Immune reaction Antigen-antibody reaction
+
+547
+00:44:26,610 --> 00:44:30,170
+Immune complex formation على سطح الـ blood vessels
+
+548
+00:44:30,170 --> 00:44:33,590
+بيعمل damaging للـ blood vessels يعني بيعمل
+
+549
+00:44:33,590 --> 00:44:39,230
+damaging لليش؟ للالدثيف صح؟ Antigen-antibody
+
+550
+00:44:39,230 --> 00:44:43,490
+reaction على سطح ال vascular area أو ال blood
+
+551
+00:44:43,490 --> 00:44:48,510
+vessels وبالتالي بيعمل damaging لليش؟ وبيسبب أمراض
+
+552
+00:44:48,510 --> 00:44:54,210
+كثيرةالسبب التاني هو الـ necrosis يا شباب و الـ
+
+553
+00:44:54,210 --> 00:44:58,290
+necrosis due to برضه different factor إنها تكسيب
+
+554
+00:44:58,290 --> 00:45:03,830
+ممكن يكون دخل تكسيب يعني القتل لمين لهذه الخلايا
+
+555
+00:45:03,830 --> 00:45:08,790
+أو infectious agents أو الفيروس برضه بتقتل الخلايا
+
+556
+00:45:08,790 --> 00:45:15,310
+اللي بتدخلها السبب التاني الـ degeneration
+
+557
+00:45:15,310 --> 00:45:21,620
+endothelial degeneration ماشي؟ممكن يصير فيه عملية
+
+558
+00:45:21,620 --> 00:45:28,100
+اللى هو موته وتقشير الخلايا الإبثيلية وفي الغالب
+
+559
+00:45:28,100 --> 00:45:33,200
+الاندوتوكسين أي مادة سامة بتخش ممكن تسبب
+
+560
+00:45:33,200 --> 00:45:38,080
+الاندوتيليا الديجناريشن سبب الرابع trauma ضربة
+
+561
+00:45:38,080 --> 00:45:44,860
+وسبب الخامس invasion بمعنى غزو وغالبا الغزو بيجي
+
+562
+00:45:44,860 --> 00:45:50,020
+من خلايا سرطانية غزة خلايا ايه؟ طبيعية invasion
+
+563
+00:45:51,060 --> 00:45:53,360
+بالتالي إما مجموعة الإنفلام أو مجموعة نيو
+
+564
+00:45:53,360 --> 00:46:01,820
+بلاستيكية مفهوم يا شباب؟ مفهوم؟ طبعا، خلّيني أنا
+
+565
+00:46:01,820 --> 00:46:07,000
+أشوف بعد هالشرح المطول في هذا الموضوع، الواحد ممكن
+
+566
+00:46:07,000 --> 00:46:12,240
+يسأل سؤال، إيش السؤال؟ بيقول، How does the
+
+567
+00:46:12,240 --> 00:46:17,380
+hemostatic system control itself؟ And why are not
+
+568
+00:46:17,380 --> 00:46:22,930
+blood clots forming all the time؟سهل، كيف ممكن أن
+
+569
+00:46:22,930 --> 00:46:26,970
+يكون الهيموستاتيك سيستم يتحكم بحاله وفي نفس
+
+570
+00:46:26,970 --> 00:46:31,390
+الوجود؟ ليش بيصير الجلطات دايما؟ صح؟ سهل جدا الآن
+
+571
+00:46:31,390 --> 00:46:35,590
+نجاوب عليه، لأنه احنا عارفين أنه في مواد بتفرز،
+
+572
+00:46:35,590 --> 00:46:38,270
+إشي بيشتغل properly، إشي بيشتغل properly، إشي
+
+573
+00:46:38,270 --> 00:46:38,770
+بيشتغل properly، إشي بيشتغل properly، إشي بيشتغل
+
+574
+00:46:38,770 --> 00:46:40,670
+properly، إشي بيشتغل properly، إشي بيشتغل
+
+575
+00:46:40,670 --> 00:46:43,330
+properly، إشي بيشتغل properly، إشي بيشتغل
+
+576
+00:46:43,330 --> 00:46:46,870
+properly، إشي بيشتغل properly، إشي بيشتغل
+
+577
+00:46:46,870 --> 00:46:51,180
+properly، إشي بيشتغل properly، إشمن نوع من التذكير
+
+578
+00:46:51,180 --> 00:46:53,420
+اللي هي المواد التي تُفرز كـ Anticoagulant و
+
+579
+00:46:53,420 --> 00:46:58,020
+Procoagulant نمّع
+
+580
+00:46:58,020 --> 00:47:01,560
+أحد فصلوها إلى Physical Properties صفات فيزيائية
+
+581
+00:47:01,560 --> 00:47:10,420
+تمنع حدوث جلطة ماشي بينجوسين الحفاظ على ال blood
+
+582
+00:47:10,420 --> 00:47:18,630
+vessels uninjured غيربس مجروح أو غير مصاب، ماشي؟
+
+583
+00:47:18,630 --> 00:47:22,990
+إيش هذه الأسباب اللي موجودة بشكل طبيعي وحافظتلي
+
+584
+00:47:22,990 --> 00:47:28,110
+على ال blood vessels برضه يضل طبيعي؟ نقرا واحد،
+
+585
+00:47:28,110 --> 00:47:33,570
+lamellar flow of blood in vessel cellular
+
+586
+00:47:33,570 --> 00:47:39,430
+component flow in the central، الدم عادة بيجري في
+
+587
+00:47:39,430 --> 00:47:44,770
+إيش في وسط الوعي الدمان، و بعيد عن الأطرافوشفنا
+
+588
+00:47:44,770 --> 00:47:47,790
+ليش بعيدة عن الأطراف لإن الخلايا أول ما تنزل على
+
+589
+00:47:47,790 --> 00:47:52,290
+الطرف شو بيصير لها؟ repelling ماشي لإنها بتحمل نفس
+
+590
+00:47:52,290 --> 00:47:57,710
+الشكل، أه وشبهتلكوا ال platelet كيف بيصير؟ 100%
+
+591
+00:47:57,710 --> 00:48:04,010
+crawling بيسموها أو ping pong movement، هد واحد،
+
+592
+00:48:04,010 --> 00:48:10,230
+دمرة اتنينIndothelial cell has negatively charged
+
+593
+00:48:10,230 --> 00:48:15,610
+و Platelet has negatively charged نمنا
+
+594
+00:48:15,610 --> 00:48:22,450
+تلاتة Indothelial cells shield platelets from
+
+595
+00:48:22,450 --> 00:48:28,370
+collagen طبقة هذه الاندوثيلية بتحمي البلاتلت و
+
+596
+00:48:28,370 --> 00:48:32,410
+تبعد البلاتلت عن مين لأن ال collagen تحد
+
+597
+00:48:36,030 --> 00:48:41,190
+وهذه الصورة بتبين ليه؟ بتبين لي negative charge زي
+
+598
+00:48:41,190 --> 00:48:45,550
+ما انتوا شايفين شباب هذه عبارة عن وعاء دموي blood
+
+599
+00:48:45,550 --> 00:48:49,250
+vessels مبطن ب endothelial cells ده هي الدوائر
+
+600
+00:48:49,250 --> 00:48:53,630
+الصفراء على سطحها negative charge و البلايات اللي
+
+601
+00:48:53,630 --> 00:48:59,870
+هي الدوائر الصفراء زي السمراء برضه بتحملوبالتالي
+
+602
+00:48:59,870 --> 00:49:02,770
+في continuous repelling ولا لأ؟ في continuous
+
+603
+00:49:02,770 --> 00:49:08,390
+repelling إذا بتلاحظوا الطبقة التي تليها هي عبارة
+
+604
+00:49:08,390 --> 00:49:12,110
+عن some endothelial layer which is rich in
+
+605
+00:49:12,110 --> 00:49:15,910
+collagen platelet activator ده هي الطبقة التي
+
+606
+00:49:15,910 --> 00:49:16,350
+تليها
+
+607
+00:49:24,230 --> 00:49:28,490
+في حاجات تانية طبعا في حاجات تانية تمنع حدوث جلطة،
+
+608
+00:49:28,490 --> 00:49:32,250
+and they are synthesized and formed continuously،
+
+609
+00:49:32,250 --> 00:49:36,090
+منها negative charged surfaces، negative charged
+
+610
+00:49:36,090 --> 00:49:38,470
+surfaces، ما احنا عارفين ان ال endothelial
+
+611
+00:49:38,470 --> 00:49:41,650
+negative charged و ال bloodlet negative chargedنمر
+
+612
+00:49:41,650 --> 00:49:46,850
+اتنين prostacyclin formation كمان prostacyclin
+
+613
+00:49:46,850 --> 00:49:49,010
+الشباب بيزود ال negative charge هو عبارة عن
+
+614
+00:49:49,010 --> 00:49:52,110
+negative charge وبالتالي بيعمل برضه continuously
+
+615
+00:49:52,110 --> 00:49:56,250
+repelling ويمنع repletelet aggregation او
+
+616
+00:49:56,250 --> 00:50:00,570
+anticoagulant thrombomodulin توا حاكيناه قولنا
+
+617
+00:50:00,570 --> 00:50:02,750
+بنشط ال protein C وهذا عبارة عن naturally
+
+618
+00:50:02,750 --> 00:50:06,610
+occurring anticoagulant فهو ايوش anticoagulant
+
+619
+00:50:06,610 --> 00:50:07,050
+effect
+
+620
+00:50:10,950 --> 00:50:13,710
+بنشط Antithrombin 3 وهو عبارة عن Naturally
+
+621
+00:50:13,710 --> 00:50:17,310
+occurring anticoagulant برضه بتقيله anticoagulant
+
+622
+00:50:17,310 --> 00:50:22,290
+effect ثم تشوف بلازمينوجين activator بزود ال
+
+623
+00:50:22,290 --> 00:50:28,590
+fibrolysis فبالتالي بيعمل anticoagulant بالظبط 100
+
+624
+00:50:28,590 --> 00:50:32,430
+% بتنشط البلازمينوجين و بيكونوا بلازمينو تبعين
+
+625
+00:50:32,430 --> 00:50:38,230
+معايا يا شباب؟ طب نشوف في مواد أخرى Plateletقلنا
+
+626
+00:50:38,230 --> 00:50:44,770
+بـ circulate in their inactive form تشوف قاعدة
+
+627
+00:50:44,770 --> 00:50:50,990
+تاخدوها بالاعتبار طول ما البلاتلة تمشي و هي
+
+628
+00:50:50,990 --> 00:50:57,810
+inactive يوم ما تنبسك تتحول إلى ايه؟ إلى activeأول
+
+629
+00:50:57,810 --> 00:51:03,790
+خطوات نشاط البلاتلين تحولها من موبايل إلى ام
+
+630
+00:51:03,790 --> 00:51:09,230
+موبايل تنمسك فبتفعس فبتصير ايش ادهيجين ثم اكتيفيشي
+
+631
+00:51:09,230 --> 00:51:14,470
+دي مراياه ستة او سبعة prostaglandin او
+
+632
+00:51:14,470 --> 00:51:20,350
+prostacyclin اللي بتفرزهم الاندوثيلين
+
+633
+00:51:20,350 --> 00:51:26,630
+بيخلي البلاتلين دايما in their inactive formحاجة
+
+634
+00:51:26,630 --> 00:51:29,350
+تانية كمان أخدها فعلا تيبار coagration factor اللي
+
+635
+00:51:29,350 --> 00:51:34,390
+بتمشي في الدب كلها موجودة على شكل inert form يعني
+
+636
+00:51:34,390 --> 00:51:40,530
+زيموجين لما بتتنشط بتتحول إلى إيه؟ إلى enzyme إلى
+
+637
+00:51:40,530 --> 00:51:45,570
+إيه؟ إلى enzyme إلى نشط نعم كل الأثارين الحاجة
+
+638
+00:51:45,570 --> 00:51:51,190
+الأخرانية اللي هي tissue factor وهذاممنوع يكون
+
+639
+00:51:51,190 --> 00:51:55,910
+موجود في الـ blood vessels وإنما موجود في الـ
+
+640
+00:51:55,910 --> 00:52:01,210
+subendothelial layer هذا هو اللي برضه بعيد عنه
+
+641
+00:52:01,210 --> 00:52:03,990
+عشان تنشيط عوامل الجلد
+