diff --git "a/PL9fwy3NUQKwZHPs6l8Fr-st-8cVJxmVek/XjWoXKhuE-o_raw.json" "b/PL9fwy3NUQKwZHPs6l8Fr-st-8cVJxmVek/XjWoXKhuE-o_raw.json"
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+{"segments": [{"id": 1, "seek": 4603, "start": 21.09, "end": 46.03, "text": "إذن في المحاضرة هذه ان شاء الله هنحل بعض التمرين لل homework اللي تابع ل section تلاتة واحد و تلاتة اتنين فأزملتكم تسأل عن ال .. نحن نحل السؤال 13 section تلاتة واحد", "tokens": [28814, 8848, 1863, 8978, 9673, 5016, 46958, 25720, 29538, 16472, 13412, 16606, 21984, 8032, 1863, 5016, 1211, 45030, 11242, 16712, 29973, 9957, 24976, 14578, 13672, 1829, 6055, 16758, 3615, 5296, 3541, 6055, 1211, 9307, 3660, 36764, 24401, 4032, 6055, 1211, 9307, 3660, 1975, 2655, 1863, 9957, 6156, 10721, 11622, 42213, 2655, 24793, 6055, 3794, 10721, 1211, 18871, 2423, 4386, 8717, 5016, 1863, 8717, 5016, 1211, 21136, 33604, 6027, 3705, 3541, 6055, 1211, 9307, 3660, 36764, 24401], "avg_logprob": -0.212459414036243, "compression_ratio": 1.6287425149700598, "no_speech_prob": 0.0, "words": [{"start": 21.09, "end": 21.55, "word": "إذن", "probability": 0.6546223958333334}, {"start": 21.55, "end": 22.03, "word": " في", "probability": 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"word": " استنتجنا", "probability": 0.8463134765625}, {"start": 1335.31, "end": 1335.47, "word": " إن", "probability": 0.6279296875}, {"start": 1335.47, "end": 1335.95, "word": " لازم", "probability": 0.8463541666666666}, {"start": 1335.95, "end": 1336.59, "word": " xn", "probability": 0.3741455078125}, {"start": 1336.59, "end": 1337.07, "word": " يطلع", "probability": 0.9598388671875}, {"start": 1337.07, "end": 1337.47, "word": " أكبر", "probability": 0.9557291666666666}, {"start": 1337.47, "end": 1337.65, "word": " من", "probability": 0.99462890625}, {"start": 1337.65, "end": 1338.23, "word": " السفر", "probability": 0.7254231770833334}, {"start": 1338.23, "end": 1339.69, "word": " لكل", "probability": 0.978759765625}, {"start": 1339.69, "end": 1340.03, "word": " M", "probability": 0.85107421875}, {"start": 1340.03, "end": 1340.59, "word": " أكبر", "probability": 0.9720052083333334}, {"start": 1340.59, "end": 1340.81, "word": " من", "probability": 0.94775390625}, {"start": 1340.81, "end": 1341.01, "word": " أو", "probability": 0.93017578125}, {"start": 1341.01, "end": 1341.37, "word": " يساوي", "probability": 0.74786376953125}, {"start": 1341.37, "end": 1341.83, "word": " capital", "probability": 0.394775390625}, {"start": 1341.83, "end": 1342.15, "word": " M", "probability": 0.97607421875}, {"start": 1342.15, "end": 1343.09, "word": " تمام", "probability": 0.786376953125}, {"start": 1343.09, "end": 1345.57, "word": " واضح", "probability": 0.9049479166666666}, {"start": 1345.57, "end": 1346.55, "word": " البرهان", "probability": 0.85302734375}, {"start": 1346.55, "end": 1352.21, "word": " طيب", "probability": 0.92822265625}, {"start": 1352.21, "end": 1352.45, "word": " في", "probability": 0.8779296875}, {"start": 1352.45, "end": 1352.75, "word": " أي", "probability": 0.77880859375}, {"start": 1352.75, "end": 1353.27, "word": " أسئلة", "probability": 0.97265625}, {"start": 1353.27, "end": 1354.11, "word": " تانية؟", "probability": 0.9307861328125}], "temperature": 1.0}, {"id": 48, "seek": 138515, "start": 1357.83, "end": 1385.15, "text": "section تلاتة اتنين مين عنده سؤال اي سؤال في اي section تلاتة اتنين تلاتة اتنين سبعتاش section تلاتة اتنين", "tokens": [11963, 6055, 1211, 9307, 3660, 1975, 2655, 1863, 9957, 3714, 9957, 43242, 3224, 8608, 33604, 6027, 1975, 1829, 8608, 33604, 6027, 8978, 1975, 1829, 3541, 6055, 1211, 9307, 3660, 1975, 2655, 1863, 9957, 6055, 1211, 9307, 3660, 1975, 2655, 1863, 9957, 8608, 3555, 34268, 33599, 3541, 6055, 1211, 9307, 3660, 1975, 2655, 1863, 9957], "avg_logprob": -0.22017044858499007, "compression_ratio": 1.9222222222222223, "no_speech_prob": 0.0, "words": [{"start": 1357.83, "end": 1358.65, "word": "section", "probability": 0.59814453125}, {"start": 1358.65, "end": 1359.69, "word": " تلاتة", "probability": 0.9002685546875}, {"start": 1359.69, "end": 1360.15, "word": " اتنين", "probability": 0.974853515625}, {"start": 1360.15, "end": 1368.33, "word": " مين", "probability": 0.553466796875}, {"start": 1368.33, "end": 1368.67, "word": " عنده", "probability": 0.6326904296875}, {"start": 1368.67, "end": 1369.07, "word": " سؤال", "probability": 0.94921875}, {"start": 1369.07, "end": 1370.27, "word": " اي", "probability": 0.542816162109375}, {"start": 1370.27, "end": 1370.65, "word": " سؤال", "probability": 0.9910481770833334}, {"start": 1370.65, "end": 1371.35, "word": " في", "probability": 0.64208984375}, {"start": 1371.35, "end": 1372.15, "word": " اي", "probability": 0.826171875}, {"start": 1372.15, "end": 1372.57, "word": " section", "probability": 0.9140625}, {"start": 1372.57, "end": 1373.37, "word": " تلاتة", "probability": 0.828125}, {"start": 1373.37, "end": 1373.79, "word": " اتنين", "probability": 0.9906005859375}, {"start": 1373.79, "end": 1374.39, "word": " تلاتة", "probability": 0.81390380859375}, {"start": 1374.39, "end": 1376.35, "word": " اتنين", "probability": 0.9912109375}, {"start": 1376.35, "end": 1383.07, "word": " سبعتاش", "probability": 0.815185546875}, {"start": 1383.07, "end": 1383.65, "word": " section", "probability": 0.2489013671875}, {"start": 1383.65, "end": 1384.61, "word": " تلاتة", "probability": 0.977783203125}, {"start": 1384.61, "end": 1385.15, "word": " اتنين", "probability": 0.99365234375}], "temperature": 1.0}, {"id": 49, "seek": 144822, "start": 1420.18, "end": 1448.22, "text": "أنا في عندي هنا sequence of positive real numbers إذا xn حدود عموجة بقى لكل n such that limit ل xn زاد واحد على xn لما n تقول infinity", "tokens": [10721, 8315, 8978, 18871, 16254, 34105, 8310, 295, 3353, 957, 3547, 11933, 15730, 2031, 77, 11331, 3215, 23328, 6225, 2304, 29245, 3660, 4724, 4587, 7578, 5296, 28820, 297, 1270, 300, 4948, 5296, 2031, 77, 30767, 18513, 36764, 24401, 15844, 2031, 77, 5296, 15042, 297, 6055, 39648, 13202], "avg_logprob": -0.27099610430498916, "compression_ratio": 1.2380952380952381, "no_speech_prob": 0.0, "words": [{"start": 1420.18, "end": 1420.56, "word": "أنا", "probability": 0.6328125}, {"start": 1420.56, "end": 1420.7, "word": " في", "probability": 0.75927734375}, {"start": 1420.7, "end": 1421.1, "word": " عندي", "probability": 0.6865234375}, {"start": 1421.1, "end": 1421.36, "word": " هنا", "probability": 0.74609375}, {"start": 1421.36, "end": 1421.86, "word": " sequence", "probability": 0.8291015625}, {"start": 1421.86, "end": 1422.46, "word": " of", "probability": 0.9375}, {"start": 1422.46, "end": 1423.12, "word": " positive", "probability": 0.85888671875}, {"start": 1423.12, "end": 1423.6, "word": " real", "probability": 0.962890625}, {"start": 1423.6, "end": 1424.2, "word": " numbers", "probability": 0.83642578125}, {"start": 1424.2, "end": 1426.42, "word": " إذا", "probability": 0.4354248046875}, {"start": 1426.42, "end": 1427.4, "word": " xn", "probability": 0.59130859375}, {"start": 1427.4, "end": 1428.84, "word": " حدود", "probability": 0.9728190104166666}, {"start": 1428.84, "end": 1429.56, "word": " عموجة", "probability": 0.8731689453125}, {"start": 1429.56, "end": 1431.22, "word": " بقى", "probability": 0.7252604166666666}, {"start": 1431.22, "end": 1432.04, "word": " لكل", "probability": 0.9873046875}, {"start": 1432.04, "end": 1432.58, "word": " n", "probability": 0.77587890625}, {"start": 1432.58, "end": 1435.68, "word": " such", "probability": 0.728515625}, {"start": 1435.68, "end": 1436.14, "word": " that", "probability": 0.9541015625}, {"start": 1436.14, "end": 1437.04, "word": " limit", "probability": 0.85791015625}, {"start": 1437.04, "end": 1440.56, "word": " ل", "probability": 0.8515625}, {"start": 1440.56, "end": 1441.88, "word": " xn", "probability": 0.774169921875}, {"start": 1441.88, "end": 1442.6, "word": " زاد", "probability": 0.59619140625}, {"start": 1442.6, "end": 1443.16, "word": " واحد", "probability": 0.84619140625}, {"start": 1443.16, "end": 1443.44, "word": " على", "probability": 0.7080078125}, {"start": 1443.44, "end": 1444.48, "word": " xn", "probability": 0.9755859375}, {"start": 1444.48, "end": 1446.38, "word": " لما", "probability": 0.931884765625}, {"start": 1446.38, "end": 1446.8, "word": " n", "probability": 0.78955078125}, {"start": 1446.8, "end": 1447.52, "word": " تقول", "probability": 0.7978515625}, {"start": 1447.52, "end": 1448.22, "word": " infinity", "probability": 0.228759765625}], "temperature": 1.0}, {"id": 50, "seek": 147435, "start": 1449.75, "end": 1474.35, "text": "بساوي عدد ال أكبر من واحد و المقلوب show اثبت في الحالة هذه ان ال sequence xm is unbounded is not bounded", "tokens": [3555, 3794, 995, 45865, 6225, 3215, 3215, 2423, 5551, 4117, 26890, 9154, 36764, 24401, 4032, 9673, 4587, 1211, 37746, 855, 1975, 12984, 3555, 2655, 8978, 21542, 6027, 3660, 29538, 16472, 2423, 8310, 2031, 76, 307, 517, 18767, 292, 307, 406, 37498], "avg_logprob": -0.28031992770376657, "compression_ratio": 1.2258064516129032, "no_speech_prob": 0.0, "words": [{"start": 1449.75, "end": 1450.59, "word": "بساوي", "probability": 0.7938232421875}, {"start": 1450.59, "end": 1451.17, "word": " عدد", "probability": 0.9016927083333334}, {"start": 1451.17, "end": 1451.55, "word": " ال", "probability": 0.26171875}, {"start": 1451.55, "end": 1452.25, "word": " أكبر", "probability": 0.9326171875}, {"start": 1452.25, "end": 1452.45, "word": " من", "probability": 0.990234375}, {"start": 1452.45, "end": 1453.01, "word": " واحد", "probability": 0.95751953125}, {"start": 1453.01, "end": 1455.39, "word": " و", "probability": 0.369140625}, {"start": 1455.39, "end": 1456.33, "word": " المقلوب", "probability": 0.843994140625}, {"start": 1456.33, "end": 1456.97, "word": " show", "probability": 0.833984375}, {"start": 1456.97, "end": 1459.25, "word": " اثبت", "probability": 0.6942901611328125}, {"start": 1459.25, "end": 1459.41, "word": " في", "probability": 0.8935546875}, {"start": 1459.41, "end": 1459.85, "word": " الحالة", "probability": 0.96728515625}, {"start": 1459.85, "end": 1460.23, "word": " هذه", "probability": 0.78564453125}, {"start": 1460.23, "end": 1460.55, "word": " ان", "probability": 0.7431640625}, {"start": 1460.55, "end": 1461.53, "word": " ال", "probability": 0.297119140625}, {"start": 1461.53, "end": 1465.75, "word": " sequence", "probability": 0.85888671875}, {"start": 1465.75, "end": 1466.49, "word": " xm", "probability": 0.7138671875}, {"start": 1466.49, "end": 1470.17, "word": " is", "probability": 0.84619140625}, {"start": 1470.17, "end": 1471.53, "word": " unbounded", "probability": 0.8479817708333334}, {"start": 1471.53, "end": 1471.89, "word": " is", "probability": 0.48681640625}, {"start": 1471.89, "end": 1472.31, "word": " not", "probability": 0.9619140625}, {"start": 1472.31, "end": 1474.35, "word": " bounded", "probability": 0.923828125}], "temperature": 1.0}, {"id": 51, "seek": 149346, "start": 1478.48, "end": 1493.46, "text": "and hence not convergent لأن لو كانت convergent تطلع bounded", "tokens": [474, 16678, 406, 9652, 6930, 5296, 33456, 45164, 25961, 2655, 9652, 6930, 6055, 9566, 1211, 3615, 37498], "avg_logprob": -0.2884114483992259, "compression_ratio": 1.042857142857143, "no_speech_prob": 0.0, "words": [{"start": 1478.48, "end": 1478.98, "word": "and", "probability": 0.347412109375}, {"start": 1478.98, "end": 1479.5, "word": " hence", "probability": 0.837890625}, {"start": 1479.5, "end": 1486.1, "word": " not", "probability": 0.9208984375}, {"start": 1486.1, "end": 1487.26, "word": " convergent", "probability": 0.93212890625}, {"start": 1487.26, "end": 1489.58, "word": " لأن", "probability": 0.603515625}, {"start": 1489.58, "end": 1489.76, "word": " لو", "probability": 0.865234375}, {"start": 1489.76, "end": 1490.14, "word": " كانت", "probability": 0.974365234375}, {"start": 1490.14, "end": 1490.94, "word": " convergent", "probability": 0.8798828125}, {"start": 1490.94, "end": 1492.06, "word": " تطلع", "probability": 0.931640625}, {"start": 1492.06, "end": 1493.46, "word": " bounded", "probability": 0.2095947265625}], "temperature": 1.0}, {"id": 52, "seek": 152129, "start": 1513.37, "end": 1521.29, "text": "يعني من الشرط هذا ممكن تباطم الـ sequence increasing متزايدة", "tokens": [40228, 22653, 9154, 25124, 2288, 9566, 23758, 3714, 43020, 6055, 3555, 995, 9566, 2304, 2423, 39184, 8310, 5662, 44650, 11622, 995, 25708, 3660], "avg_logprob": -0.3723958445092042, "compression_ratio": 1.0333333333333334, "no_speech_prob": 0.0, "words": [{"start": 1513.37, "end": 1513.91, "word": "يعني", "probability": 0.6400146484375}, {"start": 1513.91, "end": 1514.31, "word": " من", "probability": 0.919921875}, {"start": 1514.31, "end": 1515.23, "word": " الشرط", "probability": 0.9580078125}, {"start": 1515.23, "end": 1515.59, "word": " هذا", "probability": 0.6767578125}, {"start": 1515.59, "end": 1516.01, "word": " ممكن", "probability": 0.85400390625}, {"start": 1516.01, "end": 1516.59, "word": " تباطم", "probability": 0.561572265625}, {"start": 1516.59, "end": 1516.79, "word": " الـ", "probability": 0.813232421875}, {"start": 1516.79, "end": 1517.19, "word": " sequence", "probability": 0.45068359375}, {"start": 1517.19, "end": 1518.01, "word": " increasing", "probability": 0.3505859375}, {"start": 1518.01, "end": 1521.29, "word": " متزايدة", "probability": 0.846728515625}], "temperature": 1.0}, {"id": 53, "seek": 156875, "start": 1565.95, "end": 1568.75, "text": "أه ..", "tokens": [10721, 3224, 4386], "avg_logprob": -1.37109375, "compression_ratio": 0.4666666666666667, "no_speech_prob": 2.6702880859375e-05, "words": [{"start": 1565.9499999999998, "end": 1567.35, "word": "أه", "probability": 0.15814208984375}, {"start": 1567.35, "end": 1568.75, "word": " ..", "probability": 0.4775390625}], "temperature": 1.0}, {"id": 54, "seek": 162022, "start": 1591.5, "end": 1620.22, "text": "ممكن نعمل برهان بال .. بالتناقض افرم انها bounded وممكن نصل لتناقض من تعريف ال .. هنا ال sequence هذه of quotient convergent لعدد L أكبر من واحد ممكن باستخدامه", "tokens": [2304, 43020, 8717, 25957, 1211, 4724, 2288, 3224, 7649, 20666, 4386, 20666, 2655, 8315, 4587, 11242, 1975, 5172, 2288, 2304, 16472, 11296, 37498, 4032, 2304, 43020, 8717, 36520, 5296, 2655, 8315, 4587, 11242, 9154, 37279, 16572, 5172, 2423, 4386, 34105, 2423, 8310, 29538, 295, 9641, 1196, 9652, 6930, 5296, 22488, 3215, 441, 5551, 4117, 26890, 9154, 36764, 24401, 3714, 43020, 4724, 995, 14851, 9778, 3215, 10943, 3224], "avg_logprob": -0.1773897120181252, "compression_ratio": 1.4910179640718564, "no_speech_prob": 0.0, "words": [{"start": 1591.5, "end": 1592.04, "word": "ممكن", "probability": 0.73193359375}, {"start": 1592.04, "end": 1592.46, "word": " نعمل", "probability": 0.9583333333333334}, {"start": 1592.46, "end": 1592.94, "word": " برهان", "probability": 0.9202880859375}, {"start": 1592.94, "end": 1593.3, "word": " بال", "probability": 0.95166015625}, {"start": 1593.3, "end": 1593.54, "word": " ..", "probability": 0.1705322265625}, {"start": 1593.54, "end": 1594.98, "word": " بالتناقض", "probability": 0.97080078125}, {"start": 1594.98, "end": 1598.24, "word": " افرم", "probability": 0.7420654296875}, {"start": 1598.24, 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such that for any epsilon for any epsilon أكبر من السفر يوجد m بحيث يوجد عدد m such that", "tokens": [474, 17861, 307, 1270, 300, 307, 257, 8310, 1270, 300, 337, 604, 17889, 337, 604, 17889, 5551, 4117, 26890, 9154, 21136, 5172, 2288, 7251, 29245, 3215, 275, 4724, 5016, 1829, 12984, 7251, 29245, 3215, 6225, 3215, 3215, 275, 1270, 300], "avg_logprob": -0.17816310975609756, "compression_ratio": 1.3333333333333333, "no_speech_prob": 0.0, "words": [{"start": 2907.58, "end": 2908.16, "word": "and", "probability": 0.253173828125}, {"start": 2908.16, "end": 2908.96, "word": " yn", "probability": 0.28125}, {"start": 2908.96, "end": 2911.04, "word": " is", "probability": 0.85888671875}, {"start": 2911.04, "end": 2911.68, "word": " such", "probability": 0.927734375}, {"start": 2911.68, "end": 2912.16, "word": " that", "probability": 0.94873046875}, {"start": 2912.16, "end": 2912.44, "word": " is", "probability": 0.63134765625}, {"start": 2912.44, "end": 2912.62, "word": " a", "probability": 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"probability": 0.6284993489583334}, {"start": 3061.95, "end": 3062.49, "word": " برهان", "probability": 0.9490966796875}, {"start": 3062.49, "end": 3067.57, "word": " اذا", "probability": 0.5267333984375}, {"start": 3067.57, "end": 3067.97, "word": " to", "probability": 0.7216796875}, {"start": 3067.97, "end": 3068.31, "word": " see", "probability": 0.93798828125}, {"start": 3068.31, "end": 3071.37, "word": " this", "probability": 0.9599609375}, {"start": 3071.37, "end": 3076.61, "word": " نبدأ", "probability": 0.880859375}, {"start": 3076.61, "end": 3077.29, "word": " بإبسلون", "probability": 0.8448893229166666}, {"start": 3077.29, "end": 3077.77, "word": " أكبر", "probability": 0.921875}, {"start": 3077.77, "end": 3077.97, "word": " من", "probability": 0.9921875}, {"start": 3077.97, "end": 3078.61, "word": " السفر", "probability": 0.8245442708333334}], "temperature": 1.0}, {"id": 105, "seek": 310589, "start": 3096.81, "end": 3105.89, "text": "let by hypothesis من الفرض من الفرض من ال hypothesis", "tokens": [2631, 538, 17291, 9154, 27188, 43042, 9154, 27188, 43042, 9154, 2423, 17291], "avg_logprob": -0.2593148946762085, "compression_ratio": 1.5217391304347827, "no_speech_prob": 0.0, "words": [{"start": 3096.81, "end": 3097.89, "word": "let", "probability": 0.56884765625}, {"start": 3097.89, "end": 3098.97, "word": " by", "probability": 0.82421875}, {"start": 3098.97, "end": 3099.73, "word": " hypothesis", "probability": 0.304443359375}, {"start": 3099.73, "end": 3100.15, "word": " من", "probability": 0.9453125}, {"start": 3100.15, "end": 3100.71, "word": " الفرض", "probability": 0.841552734375}, {"start": 3100.71, "end": 3104.45, "word": " من", "probability": 0.8212890625}, {"start": 3104.45, "end": 3104.97, "word": " الفرض", "probability": 0.87939453125}, {"start": 3104.97, "end": 3105.23, "word": " من", "probability": 0.9443359375}, {"start": 3105.23, "end": 3105.37, "word": " ال", "probability": 0.83349609375}, {"start": 3105.37, "end": 3105.89, "word": " 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"word": " minus", "probability": 0.40576171875}, {"start": 3162.96, "end": 3163.66, "word": " yn", "probability": 0.9560546875}, {"start": 3163.66, "end": 3165.38, "word": " لما", "probability": 0.850341796875}, {"start": 3165.38, "end": 3165.68, "word": " n", "probability": 0.6435546875}, {"start": 3165.68, "end": 3166.14, "word": " تقول", "probability": 0.74365234375}, {"start": 3166.14, "end": 3166.98, "word": " infinity", "probability": 0.445068359375}, {"start": 3166.98, "end": 3168.94, "word": " بساوي", "probability": 0.724609375}, {"start": 3168.94, "end": 3169.42, "word": " سفر", "probability": 0.91064453125}], "temperature": 1.0}, {"id": 108, "seek": 319385, "start": 3174.15, "end": 3193.85, "text": "مش شرط هذا انا عندي ال .. ما معناه ان limit ال sequence هذه بساوة سفر؟ معناه لأي epsilon أكبر من السفر يوجد capital M", "tokens": [2304, 8592, 13412, 2288, 9566, 23758, 1975, 8315, 18871, 16254, 2423, 4386, 19446, 20449, 8315, 3224, 16472, 4948, 2423, 8310, 29538, 4724, 3794, 995, 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{"start": 3208.86, "end": 3209.58, "word": " الصفر", "probability": 0.7859700520833334}, {"start": 3209.58, "end": 3210.18, "word": " أصغر", "probability": 0.9774169921875}, {"start": 3210.18, "end": 3210.34, "word": " من", "probability": 0.98779296875}, {"start": 3210.34, "end": 3210.96, "word": " إبسلن", "probability": 0.96943359375}], "temperature": 1.0}, {"id": 110, "seek": 324078, "start": 3212.68, "end": 3240.78, "text": "هي معنى ان limit ال sequence للفرق بساوي سفر ايش معنى هذا لأي epsilon أكبر من سفر يوجد capital M يعتمد على N عدد طبيعي يعتمد على ال epsilon بحيث لكل N أكبر من أو ساوي capital N المسافة بين الحد العام لل sequence و limit اللي هي سفر أصغر من epsilon هذا الكلام هى متحقق هنا هى متحقق", "tokens": [3224, 1829, 20449, 1863, 7578, 16472, 4948, 2423, 8310, 24976, 5172, 2288, 4587, 4724, 3794, 995, 45865, 8608, 5172, 2288, 1975, 1829, 8592, 20449, 1863, 7578, 23758, 5296, 10721, 1829, 17889, 5551, 4117, 26890, 9154, 8608, 5172, 2288, 7251, 29245, 3215, 4238, 376, 7251, 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epsilon", "probability": 0.5029296875}, {"start": 3227.22, "end": 3228.66, "word": " بحيث", "probability": 0.975830078125}, {"start": 3228.66, "end": 3229.1, "word": " لكل", "probability": 0.97802734375}, {"start": 3229.1, "end": 3229.32, "word": " N", "probability": 0.84228515625}, {"start": 3229.32, "end": 3229.7, "word": " أكبر", "probability": 0.9791666666666666}, {"start": 3229.7, "end": 3229.84, "word": " من", "probability": 0.896484375}, {"start": 3229.84, "end": 3229.96, "word": " أو", "probability": 0.1578369140625}, {"start": 3229.96, "end": 3230.3, "word": " ساوي", "probability": 0.84765625}, {"start": 3230.3, "end": 3230.72, "word": " capital", "probability": 0.68310546875}, {"start": 3230.72, "end": 3231.02, "word": " N", "probability": 0.9404296875}, {"start": 3231.02, "end": 3232.16, "word": " المسافة", "probability": 0.982177734375}, {"start": 3232.16, "end": 3232.44, "word": " بين", "probability": 0.9775390625}, {"start": 3232.44, "end": 3232.9, "word": " الحد", "probability": 0.964111328125}, {"start": 3232.9, "end": 3233.22, "word": " العام", "probability": 0.9833984375}, {"start": 3233.22, "end": 3233.38, "word": " لل", "probability": 0.9248046875}, {"start": 3233.38, "end": 3233.94, "word": " sequence", "probability": 0.96484375}, {"start": 3233.94, "end": 3234.2, "word": " و", "probability": 0.76318359375}, {"start": 3234.2, "end": 3235.2, "word": " limit", "probability": 0.73779296875}, {"start": 3235.2, "end": 3235.4, "word": " اللي", "probability": 0.6705322265625}, {"start": 3235.4, "end": 3235.54, "word": " هي", "probability": 0.845703125}, {"start": 3235.54, "end": 3235.82, "word": " سفر", "probability": 0.7926432291666666}, {"start": 3235.82, "end": 3236.1, "word": " أصغر", "probability": 0.7784423828125}, {"start": 3236.1, "end": 3236.24, "word": " من", "probability": 0.98974609375}, {"start": 3236.24, "end": 3236.56, "word": " epsilon", "probability": 0.689453125}, {"start": 3236.56, "end": 3237.68, "word": " هذا", "probability": 0.20703125}, {"start": 3237.68, "end": 3238.44, "word": " الكلام", "probability": 0.92529296875}, {"start": 3238.44, "end": 3238.66, "word": " هى", "probability": 0.6192626953125}, {"start": 3238.66, "end": 3239.3, "word": " متحقق", "probability": 0.9136962890625}, {"start": 3239.3, "end": 3239.56, "word": " هنا", "probability": 0.97314453125}, {"start": 3239.56, "end": 3240.14, "word": " هى", "probability": 0.7412109375}, {"start": 3240.14, "end": 3240.78, "word": " متحقق", "probability": 0.9874267578125}], "temperature": 1.0}, {"id": 111, "seek": 326395, "start": 3241.43, "end": 3263.95, "text": "تامام؟ إذا هذا بنحصل عليه وبالتالي limit xn minus yn بساوي سفر ومنها الآن أنا عندي ال yn ممكن كتبتها على صورة yn سالب xn موجب xn", "tokens": [2655, 10943, 10943, 22807, 11933, 15730, 23758, 44945, 5016, 36520, 47356, 46599, 6027, 2655, 6027, 1829, 4948, 2031, 77, 3175, 17861, 4724, 3794, 995, 45865, 8608, 5172, 2288, 4032, 27842, 11296, 6024, 48506, 41850, 18871, 16254, 2423, 288, 77, 3714, 43020, 9122, 2655, 3555, 2655, 11296, 15844, 20328, 13063, 3660, 288, 77, 8608, 6027, 3555, 2031, 77, 3714, 29245, 3555, 2031, 77], "avg_logprob": -0.31349205781543066, "compression_ratio": 1.395973154362416, "no_speech_prob": 0.0, "words": [{"start": 3241.43, "end": 3242.27, "word": "تامام؟", "probability": 0.334197998046875}, {"start": 3242.27, "end": 3242.47, "word": " إذا", "probability": 0.718017578125}, {"start": 3242.47, "end": 3242.77, "word": " هذا", "probability": 0.378662109375}, {"start": 3242.77, "end": 3243.21, "word": " بنحصل", "probability": 0.808837890625}, {"start": 3243.21, "end": 3243.51, "word": " عليه", "probability": 0.98291015625}, {"start": 3243.51, "end": 3244.03, "word": " وبالتالي", "probability": 0.8455078125}, {"start": 3244.03, "end": 3244.33, "word": " limit", "probability": 0.81103515625}, {"start": 3244.33, "end": 3244.85, "word": " xn", "probability": 0.5406494140625}, {"start": 3244.85, "end": 3245.27, "word": " minus", "probability": 0.373291015625}, {"start": 3245.27, "end": 3245.69, "word": " yn", "probability": 0.9208984375}, {"start": 3245.69, "end": 3246.19, "word": " بساوي", "probability": 0.77978515625}, {"start": 3246.19, "end": 3247.17, "word": " سفر", "probability": 0.8816731770833334}, {"start": 3247.17, "end": 3248.39, "word": " ومنها", "probability": 0.8914388020833334}, {"start": 3248.39, "end": 3250.31, "word": " الآن", "probability": 0.6182861328125}, {"start": 3250.31, "end": 3250.55, "word": " أنا", "probability": 0.837890625}, {"start": 3250.55, "end": 3250.99, "word": " عندي", "probability": 0.720703125}, {"start": 3250.99, "end": 3251.41, "word": " ال", "probability": 0.9814453125}, {"start": 3251.41, "end": 3252.23, "word": " yn", "probability": 0.598876953125}, {"start": 3252.23, "end": 3254.07, "word": " ممكن", "probability": 0.96240234375}, {"start": 3254.07, "end": 3254.67, "word": " كتبتها", "probability": 0.84814453125}, {"start": 3254.67, "end": 3254.83, "word": " على", "probability": 0.9267578125}, {"start": 3254.83, "end": 3256.45, "word": " صورة", "probability": 0.9713541666666666}, {"start": 3256.45, "end": 3260.87, "word": " yn", "probability": 0.6253662109375}, {"start": 3260.87, "end": 3261.61, "word": " سالب", "probability": 0.7815755208333334}, {"start": 3261.61, "end": 3262.47, "word": " xn", "probability": 0.955810546875}, {"start": 3262.47, "end": 3263.29, "word": " موجب", "probability": 0.845703125}, {"start": 3263.29, "end": 3263.95, "word": " xn", "probability": 0.9560546875}], "temperature": 1.0}, {"id": 112, "seek": 329259, "start": 3265.31, "end": 3292.59, "text": "وهذا بيساوي سالب Xn سالب Yn زاد Xn تمام؟ إذا ال limit ل Yn as n tends to infinity بيساوي limit الطرف اليمين ف limit Xn سالب Yn مضروبة في سالب واحد بيطلع برا ال limit", "tokens": [2407, 3224, 15730, 4724, 1829, 3794, 995, 45865, 8608, 6027, 3555, 1783, 77, 8608, 6027, 3555, 398, 77, 30767, 18513, 1783, 77, 46811, 10943, 22807, 11933, 15730, 2423, 4948, 5296, 398, 77, 382, 297, 12258, 281, 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Xn", "probability": 0.973876953125}, {"start": 3272.61, "end": 3274.05, "word": " تمام؟", "probability": 0.720458984375}, {"start": 3274.05, "end": 3275.59, "word": " إذا", "probability": 0.688232421875}, {"start": 3275.59, "end": 3275.81, "word": " ال", "probability": 0.75341796875}, {"start": 3275.81, "end": 3276.21, "word": " limit", "probability": 0.853515625}, {"start": 3276.21, "end": 3277.79, "word": " ل", "probability": 0.82177734375}, {"start": 3277.79, "end": 3278.63, "word": " Yn", "probability": 0.828125}, {"start": 3278.63, "end": 3279.19, "word": " as", "probability": 0.8544921875}, {"start": 3279.19, "end": 3279.61, "word": " n", "probability": 0.6787109375}, {"start": 3279.61, "end": 3279.91, "word": " tends", "probability": 0.74169921875}, {"start": 3279.91, "end": 3280.09, "word": " to", "probability": 0.96435546875}, {"start": 3280.09, "end": 3280.63, "word": " infinity", "probability": 0.87255859375}, {"start": 3280.63, "end": 3281.57, "word": " بيساوي", "probability": 0.8919921875}, {"start": 3281.57, "end": 3282.69, "word": " limit", "probability": 0.970703125}, {"start": 3282.69, "end": 3283.17, "word": " الطرف", "probability": 0.972900390625}, {"start": 3283.17, "end": 3283.79, "word": " اليمين", "probability": 0.8629557291666666}, {"start": 3283.79, "end": 3285.11, "word": " ف", "probability": 0.86279296875}, {"start": 3285.11, "end": 3285.65, "word": " limit", "probability": 0.8916015625}, {"start": 3285.65, "end": 3287.67, "word": " Xn", "probability": 0.973388671875}, {"start": 3287.67, "end": 3288.41, "word": " سالب", "probability": 0.9822591145833334}, {"start": 3288.41, "end": 3289.11, "word": " Yn", "probability": 0.95263671875}, {"start": 3289.11, "end": 3289.65, "word": " مضروبة", "probability": 0.970703125}, {"start": 3289.65, "end": 3289.79, "word": " في", "probability": 0.88232421875}, {"start": 3289.79, "end": 3290.15, "word": " سالب", "probability": 0.9694010416666666}, {"start": 3290.15, "end": 3290.63, "word": " واحد", "probability": 0.9365234375}, {"start": 3290.63, "end": 3291.75, "word": " بيطلع", "probability": 0.8646484375}, {"start": 3291.75, "end": 3292.13, "word": " برا", "probability": 0.805419921875}, {"start": 3292.13, "end": 3292.27, "word": " ال", "probability": 0.939453125}, {"start": 3292.27, "end": 3292.59, "word": " limit", "probability": 0.97314453125}], "temperature": 1.0}, {"id": 113, "seek": 331657, "start": 3295.23, "end": 3316.57, "text": "زائد limit xn لما n تقول لإنفينيتي وهنا لسه احنا مثبتين هذا عبارة عن سالب limit sequence xn minus yn بالساوية سفر، سالد واحد في سفر", "tokens": [11622, 16373, 3215, 4948, 2031, 77, 5296, 15042, 297, 6055, 39648, 5296, 28814, 1863, 5172, 9957, 1829, 31371, 37037, 8315, 5296, 3794, 3224, 1975, 5016, 8315, 50113, 3555, 2655, 9957, 23758, 6225, 3555, 9640, 3660, 18871, 8608, 6027, 3555, 4948, 8310, 2031, 77, 3175, 17861, 20666, 3794, 995, 2407, 10632, 8608, 5172, 2288, 12399, 8608, 6027, 3215, 36764, 24401, 8978, 8608, 5172, 2288], 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