diff --git "a/PL9fwy3NUQKwY_stEoTlrdAvi6H_x0XBo-/TN1XRPbiL9s_raw.json" "b/PL9fwy3NUQKwY_stEoTlrdAvi6H_x0XBo-/TN1XRPbiL9s_raw.json" new file mode 100644--- /dev/null +++ "b/PL9fwy3NUQKwY_stEoTlrdAvi6H_x0XBo-/TN1XRPbiL9s_raw.json" @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 2656, "start": 0.76, "end": 26.56, "text": "بسم الله الرحمن الرحيم هذه هي المحاضرة الثامنة مساق رياضيات منفصلة طلاب و طالبات الجامعة الإسلامية قسم الحوسبة المتنقلة كلية العلو و كلية تكنولوجيا المعلومات المحاضرة اليوم ان شاء الله هنحكي عن اللي هو section 4.4 اللي هو solving congruences او حل التطابقات", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 29538, 39896, 9673, 5016, 46958, 25720, 6024, 104, 10943, 1863, 3660, 47524, 995, 4587, 12602, 1829, 46958, 1829, 9307, 9154, 5172, 36520, 3660, 23032, 15040, 3555, 4032, 23032, 6027, 3555, 9307, 25724, 10943, 27884, 33688, 3794, 37440, 10632, 12174, 38251, 21542, 2407, 35457, 3660, 9673, 2655, 1863, 4587, 37977, 28242, 10632, 18863, 1211, 2407, 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"probability": 0.88623046875}, {"start": 126.85, "end": 127.09, "word": " a", "probability": 0.9267578125}, {"start": 127.09, "end": 127.61, "word": " طابق", "probability": 0.7390950520833334}, {"start": 127.61, "end": 128.01, "word": " الواحد", "probability": 0.96923828125}, {"start": 128.01, "end": 128.35, "word": " modulo", "probability": 0.91015625}, {"start": 128.35, "end": 128.59, "word": " m", "probability": 0.61474609375}, {"start": 128.59, "end": 129.35, "word": " بنسمي", "probability": 0.8748372395833334}, {"start": 129.35, "end": 129.45, "word": " في", "probability": 0.85791015625}, {"start": 129.45, "end": 129.67, "word": " هذه", "probability": 0.86376953125}, {"start": 129.67, "end": 130.67, "word": " الحالة", "probability": 0.99072265625}, {"start": 130.67, "end": 130.95, "word": " اللي", "probability": 0.97705078125}, {"start": 130.95, "end": 131.13, "word": " هو", "probability": 0.96435546875}, {"start": 131.13, "end": 131.33, "word": " ال", "probability": 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بنجيبه لما نضربه في الـ A يطابق الواحد modulo M بنقول عنه هذا A bar اللي هو عبارة عن ال inverse لل A ال inverse of A modulo M خلينا نتطلع على مثال بسيط الآن بقول لي عندي خمسة إزئان inverse of تلاتة modulo سبعة", "tokens": [28814, 15730, 14111, 18863, 3215, 3215, 13672, 1829, 44945, 7435, 1829, 3555, 3224, 5296, 15042, 8717, 11242, 25513, 3224, 8978, 2423, 39184, 316, 7251, 9566, 16758, 4587, 2423, 14407, 24401, 1072, 13455, 376, 44945, 39648, 18871, 3224, 23758, 316, 2159, 13672, 1829, 31439, 6225, 3555, 9640, 3660, 18871, 2423, 17340, 24976, 316, 2423, 17340, 295, 316, 1072, 13455, 376, 16490, 1211, 9957, 995, 8717, 2655, 9566, 1211, 3615, 15844, 50113, 6027, 4724, 3794, 1829, 9566, 6024, 48506, 4724, 39648, 32239, 18871, 16254, 16490, 2304, 3794, 3660, 11933, 11622, 19986, 7649, 17340, 295, 6055, 1211, 9307, 3660, 1072, 13455, 8608, 3555, 27884], "avg_logprob": -0.1951593090506161, "compression_ratio": 1.6794258373205742, "no_speech_prob": 0.0, "words": [{"start": 135.98, "end": 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"word": " الخمسة", "probability": 0.7457275390625}, {"start": 310.04, "end": 310.32, "word": " كمان", "probability": 0.8330078125}, {"start": 310.32, "end": 310.64, "word": " سبعة", "probability": 0.8323567708333334}, {"start": 310.64, "end": 310.98, "word": " بصير", "probability": 0.8474934895833334}, {"start": 310.98, "end": 311.4, "word": " اتناش", "probability": 0.6976318359375}, {"start": 311.4, "end": 311.78, "word": " برضه", "probability": 0.9205729166666666}, {"start": 311.78, "end": 312.1, "word": " inverse", "probability": 0.77294921875}, {"start": 312.1, "end": 312.76, "word": " للتلاتة", "probability": 0.90703125}, {"start": 312.76, "end": 313.64, "word": " التسعة", "probability": 0.8292643229166666}, {"start": 313.64, "end": 313.94, "word": " اتعش", "probability": 0.64984130859375}, {"start": 313.94, "end": 314.22, "word": " برضه", "probability": 0.9928385416666666}, {"start": 314.22, "end": 314.54, "word": " inverse", "probability": 0.92578125}, {"start": 314.54, "end": 315.26, "word": " للتلاتة", "probability": 0.9841796875}, {"start": 315.26, "end": 315.76, "word": " لو", "probability": 0.93115234375}, {"start": 315.76, "end": 316.22, "word": " طرحنا", "probability": 0.9837646484375}, {"start": 316.22, "end": 316.56, "word": " سبعة", "probability": 0.9698893229166666}, {"start": 316.56, "end": 316.68, "word": " من", "probability": 0.958984375}, {"start": 316.68, "end": 317.08, "word": " الخمسة", "probability": 0.98583984375}, {"start": 317.08, "end": 317.32, "word": " نقص", "probability": 0.8134765625}, {"start": 317.32, "end": 317.7, "word": " اتنين", "probability": 0.956787109375}, {"start": 317.7, "end": 318.38, "word": " برضه", "probability": 0.9855143229166666}, {"start": 318.38, "end": 318.76, "word": " inverse", "probability": 0.8232421875}, {"start": 318.76, "end": 319.14, "word": " لمين", "probability": 0.52056884765625}, {"start": 319.14, "end": 319.7, "word": " للتلاتة", "probability": 0.925390625}, {"start": 319.7, "end": 320.04, "word": " مدلوا", "probability": 0.70037841796875}, {"start": 320.04, "end": 320.42, "word": " سبعة", "probability": 0.96826171875}, {"start": 320.42, "end": 321.08, "word": " اذا", "probability": 0.6361083984375}, {"start": 321.08, "end": 321.76, "word": " نقصد", "probability": 0.8594970703125}, {"start": 321.76, "end": 322.08, "word": " احنا", "probability": 0.8780924479166666}, {"start": 322.08, "end": 322.76, "word": " ال", "probability": 0.344970703125}, {"start": 322.76, "end": 323.38, "word": " uniqueness", "probability": 0.89599609375}, {"start": 323.38, "end": 325.48, "word": " بعنمالي", "probability": 0.6439615885416666}], "temperature": 1.0}, {"id": 16, "seek": 34073, "start": 325.77, "end": 340.73, "text": "هذا يعني أنه يوجد كتابة عظيمة عظيمة عظيمة عظيمة عظيمة A bar أقل من M وهو عدسة A مدلو M وكل عدسة آخرة عدسة A مدلو M مقارنة بـ A bar مدلو M", "tokens": [3224, 15730, 37495, 22653, 14739, 3224, 7251, 29245, 3215, 9122, 2655, 16758, 3660, 6225, 19913, 32640, 3660, 6225, 19913, 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"end": 340.05, "word": " bar", "probability": 0.7578125}, {"start": 340.05, "end": 340.47, "word": " مدلو", "probability": 0.984130859375}, {"start": 340.47, "end": 340.73, "word": " M", "probability": 0.98291015625}], "temperature": 1.0}, {"id": 17, "seek": 35749, "start": 342.73, "end": 357.49, "text": "الـ12 والنقص 2 والـ19 وكل هنا دولة برضه بيكون ال inverse للتلاتة modulo 7 لإن اللي هنا كلهم بطابق من الخمسة اللي لجيناها modulo 7", "tokens": [6027, 39184, 4762, 16070, 1863, 4587, 9381, 568, 16070, 39184, 3405, 4032, 28820, 34105, 11778, 12610, 3660, 4724, 43042, 3224, 4724, 1829, 30544, 2423, 17340, 24976, 2655, 1211, 9307, 3660, 1072, 13455, 1614, 5296, 28814, 1863, 13672, 1829, 8032, 8315, 28242, 16095, 4724, 9566, 16758, 4587, 9154, 33962, 2304, 3794, 3660, 13672, 1829, 5296, 7435, 1829, 8315, 11296, 1072, 13455, 1614], "avg_logprob": -0.30090725854519873, "compression_ratio": 1.4444444444444444, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 342.73, "end": 343.45, "word": "الـ12", "probability": 0.50537109375}, {"start": 343.45, "end": 344.43, "word": " والنقص", "probability": 0.7020263671875}, {"start": 344.43, "end": 344.91, "word": " 2", "probability": 0.82275390625}, {"start": 344.91, "end": 345.85, "word": " والـ19", "probability": 0.7332356770833334}, {"start": 345.85, "end": 346.85, "word": " وكل", "probability": 0.61962890625}, {"start": 346.85, "end": 347.11, "word": " هنا", "probability": 0.79541015625}, {"start": 347.11, "end": 347.85, "word": " دولة", "probability": 0.9046223958333334}, {"start": 347.85, "end": 348.73, "word": " برضه", "probability": 0.8971354166666666}, {"start": 348.73, "end": 349.51, "word": " بيكون", "probability": 0.6536458333333334}, {"start": 349.51, "end": 349.71, "word": " ال", "probability": 0.876953125}, {"start": 349.71, "end": 350.21, "word": " inverse", "probability": 0.8857421875}, {"start": 350.21, "end": 350.97, "word": " للتلاتة", "probability": 0.79482421875}, {"start": 350.97, "end": 351.39, "word": " modulo", "probability": 0.62353515625}, {"start": 351.39, "end": 351.79, "word": " 7", "probability": 0.86279296875}, {"start": 351.79, "end": 352.69, "word": " لإن", "probability": 0.830078125}, {"start": 352.69, "end": 353.11, "word": " اللي", "probability": 0.71923828125}, {"start": 353.11, "end": 353.49, "word": " هنا", "probability": 0.4385986328125}, {"start": 353.49, "end": 353.97, "word": " كلهم", "probability": 0.91455078125}, {"start": 353.97, "end": 354.53, "word": " بطابق", "probability": 0.9295654296875}, {"start": 354.53, "end": 354.67, "word": " من", "probability": 0.156982421875}, {"start": 354.67, "end": 355.39, "word": " الخمسة", "probability": 0.9405517578125}, {"start": 355.39, "end": 355.63, "word": " اللي", "probability": 0.971923828125}, {"start": 355.63, "end": 356.23, "word": " لجيناها", "probability": 0.71650390625}, {"start": 356.23, "end": 356.79, "word": " modulo", "probability": 0.93994140625}, {"start": 356.79, "end": 357.49, "word": " 7", "probability": 0.93603515625}], "temperature": 1.0}, {"id": 18, "seek": 38412, "start": 363.84, "end": 384.12, "text": "طيب شوف خلونا نجد كيف نجد ال inverse اللي هو للعدد لأي عدد بدنيا بالنسبة لقياس معين ال Euclidean algorithm اللي هي خورزمية القسمة و بذوذ coefficients اللي هو بتعطينا gives us a systematic approach to find اللي هو إيش to find inverse كيف؟", "tokens": [9566, 1829, 3555, 13412, 38688, 16490, 1211, 2407, 8315, 8717, 7435, 3215, 9122, 33911, 8717, 7435, 3215, 2423, 17340, 13672, 1829, 31439, 5296, 1211, 22488, 3215, 5296, 10721, 1829, 6225, 3215, 3215, 47525, 22653, 995, 20666, 1863, 35457, 3660, 5296, 4587, 25528, 3794, 20449, 9957, 2423, 462, 1311, 31264, 282, 9284, 13672, 1829, 39896, 16490, 13063, 11622, 2304, 10632, 25062, 38251, 3660, 4032, 4724, 8848, 2407, 8848, 31994, 13672, 1829, 31439, 39894, 3615, 9566, 1829, 8315, 2709, 505, 257, 27249, 3109, 281, 915, 13672, 1829, 31439, 11933, 1829, 8592, 281, 915, 17340, 9122, 33911, 22807], "avg_logprob": 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0.687713623046875}, {"start": 368.52, "end": 369.0, "word": " لأي", "probability": 0.81396484375}, {"start": 369.0, "end": 369.44, "word": " عدد", "probability": 0.9807942708333334}, {"start": 369.44, "end": 370.46, "word": " بدنيا", "probability": 0.6085611979166666}, {"start": 370.46, "end": 371.02, "word": " بالنسبة", "probability": 0.9632568359375}, {"start": 371.02, "end": 371.52, "word": " لقياس", "probability": 0.8831787109375}, {"start": 371.52, "end": 372.02, "word": " معين", "probability": 0.98046875}, {"start": 372.02, "end": 372.66, "word": " ال", "probability": 0.716796875}, {"start": 372.66, "end": 373.36, "word": " Euclidean", "probability": 0.809814453125}, {"start": 373.36, "end": 373.84, "word": " algorithm", "probability": 0.65576171875}, {"start": 373.84, "end": 374.0, "word": " اللي", "probability": 0.828125}, {"start": 374.0, "end": 374.12, "word": " هي", "probability": 0.88671875}, {"start": 374.12, "end": 374.68, "word": " خورزمية", "probability": 0.71416015625}, {"start": 374.68, "end": 375.24, "word": " القسمة", "probability": 0.9187825520833334}, {"start": 375.24, "end": 375.3, "word": " و", "probability": 0.478515625}, {"start": 375.3, "end": 375.76, "word": " بذوذ", "probability": 0.4732666015625}, {"start": 375.76, "end": 376.26, "word": " coefficients", "probability": 0.8583984375}, {"start": 376.26, "end": 377.2, "word": " اللي", "probability": 0.967041015625}, {"start": 377.2, "end": 377.44, "word": " هو", "probability": 0.50439453125}, {"start": 377.44, "end": 378.2, "word": " بتعطينا", "probability": 0.8986328125}, {"start": 378.2, "end": 378.42, "word": " gives", "probability": 0.378662109375}, {"start": 378.42, "end": 378.74, "word": " us", "probability": 0.7060546875}, {"start": 378.74, "end": 378.94, "word": " a", "probability": 0.9560546875}, {"start": 378.94, "end": 379.4, "word": " systematic", "probability": 0.81005859375}, {"start": 379.4, "end": 379.98, "word": " approach", "probability": 0.9501953125}, {"start": 379.98, "end": 380.2, "word": " to", "probability": 0.8720703125}, {"start": 380.2, "end": 380.62, "word": " find", "probability": 0.9111328125}, {"start": 380.62, "end": 380.94, "word": " اللي", "probability": 0.72021484375}, {"start": 380.94, "end": 381.22, "word": " هو", "probability": 0.98486328125}, {"start": 381.22, "end": 381.66, "word": " إيش", "probability": 0.7644856770833334}, {"start": 381.66, "end": 382.08, "word": " to", "probability": 0.69091796875}, {"start": 382.08, "end": 382.5, "word": " find", "probability": 0.9248046875}, {"start": 382.5, "end": 383.28, "word": " inverse", "probability": 0.7080078125}, {"start": 383.28, "end": 384.12, "word": " كيف؟", "probability": 0.9015299479166666}], "temperature": 1.0}, {"id": 19, "seek": 40747, "start": 384.29, "end": 407.47, "text": "اللي هو .. اللي هو كمالي ابني يجيب .. يطلب إن هو فيلم تلقى find an inverse of 3 modulo 7 العداد عشان إن صغيرة سهل إنه نعملهم .. نوددهم زي قبل ما شوية بالتحذير أو كده بس ماينفعش بالتحذير الآن بدنا نودي الطريقة .. نلاقي طريقة لإيجادها الطريقة عن طريقة charismatic القسمة أول حاجة نعمل مشترك اللي على بين 3 و 7 بيساوي أحد", "tokens": [6027, 20292, 31439, 4386, 13672, 1829, 31439, 9122, 2304, 6027, 1829, 48127, 22653, 7251, 7435, 1829, 3555, 4386, 7251, 9566, 46152, 36145, 31439, 8978, 19528, 6055, 1211, 4587, 7578, 915, 364, 17340, 295, 805, 1072, 13455, 1614, 18863, 3215, 18513, 6225, 8592, 7649, 36145, 20328, 17082, 48923, 8608, 3224, 1211, 36145, 3224, 8717, 25957, 1211, 16095, 4386, 8717, 23328, 3215, 16095, 30767, 1829, 12174, 36150, 19446, 13412, 2407, 10632, 20666, 2655, 5016, 8848, 13546, 34051, 9122, 3215, 3224, 4724, 3794, 19446, 9957, 5172, 3615, 8592, 20666, 2655, 5016, 8848, 13546, 6024, 48506, 47525, 8315, 8717, 2407, 16254, 41950, 16572, 28671, 4386, 8717, 15040, 38436, 23032, 16572, 28671, 5296, 28814, 1829, 7435, 18513, 11296, 41950, 16572, 28671, 18871, 23032, 16572, 28671, 41109, 25062, 38251, 3660, 5551, 12610, 11331, 26108, 3660, 8717, 25957, 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هو الخمسة اللي من الواحد لعند مين لعند السبعة زي ما حكينا قبل بشوية الآن ناخد مثال على أعداد كبيرة نشوف كيف نوجدها", "tokens": [3224, 2407, 6225, 3555, 9640, 3660, 18871, 682, 840, 279, 13672, 1829, 39896, 16712, 1211, 9307, 3660, 3714, 3215, 1211, 14407, 8608, 3555, 27884, 44381, 36764, 24401, 9154, 16095, 2423, 3845, 31439, 33962, 2304, 3794, 3660, 13672, 1829, 9154, 2423, 14407, 24401, 5296, 3615, 41260, 3714, 9957, 5296, 3615, 41260, 21136, 3555, 27884, 30767, 1829, 19446, 11331, 4117, 1829, 8315, 12174, 36150, 4724, 8592, 2407, 10632, 6024, 48506, 8717, 47283, 3215, 50113, 6027, 15844, 5551, 22488, 18513, 9122, 3555, 48923, 8717, 8592, 38688, 9122, 33911, 8717, 29245, 3215, 11296], "avg_logprob": -0.1592013840874036, "compression_ratio": 1.6683937823834196, "no_speech_prob": 1.9073486328125e-06, "words": [{"start": 521.86, "end": 522.38, "word": "هو", "probability": 0.8125}, {"start": 522.38, "end": 522.9, "word": " عبارة", "probability": 0.9954833984375}, {"start": 522.9, "end": 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"probability": 0.963623046875}, {"start": 536.0, "end": 536.56, "word": " بشوية", "probability": 0.87158203125}, {"start": 536.56, "end": 537.4, "word": " الآن", "probability": 0.6187744140625}, {"start": 537.4, "end": 537.92, "word": " ناخد", "probability": 0.9827473958333334}, {"start": 537.92, "end": 538.48, "word": " مثال", "probability": 0.98193359375}, {"start": 538.48, "end": 538.8, "word": " على", "probability": 0.90283203125}, {"start": 538.8, "end": 539.38, "word": " أعداد", "probability": 0.9596354166666666}, {"start": 539.38, "end": 539.92, "word": " كبيرة", "probability": 0.9925130208333334}, {"start": 539.92, "end": 540.38, "word": " نشوف", "probability": 0.91552734375}, {"start": 540.38, "end": 540.6, "word": " كيف", "probability": 0.9755859375}, {"start": 540.6, "end": 541.22, "word": " نوجدها", "probability": 0.901123046875}], "temperature": 1.0}, {"id": 26, "seek": 56707, "start": 542.01, "end": 567.07, "text": "ناخد المثال الثاني هذا find an inverse of 101 modulo 4620 تنشوف الآن ايش اللي بنسويه الطريقة كمالي باجسم هذا على 101 بطريقة mean اللي هو ال division algorithm لما أصل في الآخر للمتبقى صفر بيكون أول واحد قبل المتبقى صفر هو ال greatest common divisor زي ما قلنا قبل هيك", "tokens": [1863, 47283, 3215, 9673, 12984, 6027, 6024, 104, 7649, 1829, 23758, 915, 364, 17340, 295, 21055, 1072, 13455, 17835, 2009, 6055, 1863, 8592, 38688, 6024, 48506, 1975, 1829, 8592, 13672, 1829, 44945, 3794, 45865, 3224, 41950, 16572, 28671, 9122, 2304, 6027, 1829, 4724, 26108, 38251, 23758, 15844, 21055, 4724, 9566, 16572, 28671, 914, 13672, 1829, 31439, 2423, 10044, 9284, 5296, 15042, 5551, 36520, 8978, 6024, 95, 34740, 5296, 19528, 2655, 3555, 4587, 7578, 20328, 5172, 2288, 4724, 1829, 30544, 5551, 12610, 36764, 24401, 12174, 36150, 9673, 2655, 3555, 4587, 7578, 20328, 5172, 2288, 31439, 2423, 6636, 2689, 25974, 284, 30767, 1829, 19446, 12174, 1211, 8315, 12174, 36150, 39896, 4117], "avg_logprob": -0.25397726703773843, "compression_ratio": 1.611764705882353, 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"word": " قلنا", "probability": 0.9200846354166666}, {"start": 566.39, "end": 566.67, "word": " قبل", "probability": 0.962890625}, {"start": 566.67, "end": 567.07, "word": " هيك", "probability": 0.802734375}], "temperature": 1.0}, {"id": 27, "seek": 58860, "start": 567.2, "end": 588.6, "text": "وبنه بتجيب اللي هو الـ grades common divisor as a linear combination of الاتنين وبكون المعامل الـ 101 هو ال inverse المطلوب خلّينا نشوف الكلام هذا عمليًا الان اولًا استخدم ال algorithm to show that ال grades common divisor بين هدول العددين بساوة واحد ايش بنسوي؟ بنقسم هذا على هذا جسمنا على 101", "tokens": [37746, 1863, 3224, 39894, 7435, 1829, 3555, 13672, 1829, 31439, 2423, 39184, 18041, 2689, 25974, 284, 382, 257, 8213, 6562, 295, 2423, 9307, 1863, 9957, 4032, 3555, 30544, 9673, 3615, 10943, 1211, 2423, 39184, 21055, 31439, 2423, 17340, 9673, 9566, 1211, 37746, 16490, 1211, 11703, 9957, 995, 8717, 8592, 38688, 2423, 28820, 10943, 23758, 6225, 2304, 20292, 14111, 995, 2423, 7649, 1975, 12610, 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المتبقى اتنين لما نجسمها على سبعة فاتحولت إلى تطابقات اللي هي ده تنحل في نفس الوقت عشان هي كانت نسميها system of linear congruences", "tokens": [55, 6055, 9566, 16758, 4587, 13672, 1829, 31439, 16712, 1211, 9307, 3660, 9673, 2655, 3555, 4587, 10632, 5296, 15042, 8717, 7435, 38251, 1783, 15844, 16490, 2304, 3794, 3660, 1783, 6055, 9566, 16758, 4587, 13672, 1829, 39896, 9673, 2655, 3555, 4587, 7578, 1975, 2655, 1863, 9957, 5296, 15042, 8717, 7435, 38251, 11296, 15844, 8608, 3555, 27884, 6156, 9307, 5016, 12610, 2655, 30731, 6055, 9566, 16758, 4587, 9307, 13672, 1829, 39896, 11778, 3224, 6055, 1863, 5016, 1211, 8978, 8717, 36178, 2423, 30543, 2655, 6225, 8592, 7649, 39896, 25961, 2655, 8717, 38251, 1829, 11296, 1185, 295, 8213, 8882, 84, 2667], "avg_logprob": -0.1961096926611297, "compression_ratio": 1.786096256684492, "no_speech_prob": 1.3709068298339844e-06, "words": [{"start": 1192.3, "end": 1192.78, "word": "X", "probability": 0.303955078125}, {"start": 1192.78, "end": 1193.3, "word": 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"probability": 0.5361328125}, {"start": 1202.72, "end": 1203.14, "word": " ده", "probability": 0.60650634765625}, {"start": 1203.14, "end": 1203.74, "word": " تنحل", "probability": 0.914306640625}, {"start": 1203.74, "end": 1203.92, "word": " في", "probability": 0.9560546875}, {"start": 1203.92, "end": 1204.32, "word": " نفس", "probability": 0.99853515625}, {"start": 1204.32, "end": 1204.66, "word": " الوقت", "probability": 0.9884440104166666}, {"start": 1204.66, "end": 1204.94, "word": " عشان", "probability": 0.9609375}, {"start": 1204.94, "end": 1205.06, "word": " هي", "probability": 0.947265625}, {"start": 1205.06, "end": 1205.3, "word": " كانت", "probability": 0.5672607421875}, {"start": 1205.3, "end": 1205.74, "word": " نسميها", "probability": 0.83544921875}, {"start": 1205.74, "end": 1206.54, "word": " system", "probability": 0.72119140625}, {"start": 1206.54, "end": 1206.84, "word": " of", "probability": 0.97216796875}, {"start": 1206.84, "end": 1207.48, "word": " linear", "probability": 0.89892578125}, {"start": 1207.48, "end": 1208.78, "word": " congruences", "probability": 0.8404947916666666}], "temperature": 1.0}, {"id": 56, "seek": 122476, "start": 1209.04, "end": 1224.76, "text": "و هذه اللي هي اللي بيحلها عادة اسمها ال chinese remainder theorem اللي الآن احنا هندرس ايه اللي هو كيف اللي هي ايش النظرية بتقول متى بيكون حل و كيف بنحل اللي هو التطابقات", "tokens": [2407, 29538, 13672, 1829, 39896, 13672, 1829, 4724, 1829, 5016, 1211, 11296, 6225, 18513, 3660, 24525, 2304, 11296, 2423, 47272, 29837, 20904, 13672, 1829, 6024, 48506, 1975, 5016, 8315, 8032, 41260, 2288, 3794, 1975, 1829, 3224, 13672, 1829, 31439, 9122, 33911, 13672, 1829, 39896, 1975, 1829, 8592, 28239, 19913, 2288, 10632, 39894, 39648, 44650, 7578, 4724, 1829, 30544, 11331, 1211, 4032, 9122, 33911, 44945, 5016, 1211, 13672, 1829, 31439, 16712, 9566, 16758, 4587, 9307], "avg_logprob": -0.19572916348775227, "compression_ratio": 1.6904761904761905, "no_speech_prob": 0.0, "words": [{"start": 1209.04, "end": 1209.32, "word": "و", "probability": 0.74462890625}, {"start": 1209.32, "end": 1209.78, "word": " هذه", "probability": 0.459716796875}, {"start": 1209.78, "end": 1210.1, "word": " اللي", "probability": 0.662109375}, {"start": 1210.1, "end": 1210.42, "word": " هي", "probability": 0.638671875}, {"start": 1210.42, "end": 1210.78, "word": " اللي", "probability": 0.943603515625}, {"start": 1210.78, "end": 1211.36, "word": " بيحلها", "probability": 0.813330078125}, {"start": 1211.36, "end": 1211.84, "word": " عادة", "probability": 0.7679036458333334}, {"start": 1211.84, "end": 1212.3, "word": " اسمها", "probability": 0.9580078125}, {"start": 1212.3, "end": 1212.4, "word": " ال", "probability": 0.67822265625}, {"start": 1212.4, "end": 1212.98, "word": " chinese", "probability": 0.3193359375}, {"start": 1212.98, "end": 1213.56, "word": " remainder", "probability": 0.85205078125}, {"start": 1213.56, "end": 1214.1, "word": " theorem", "probability": 0.8251953125}, {"start": 1214.1, "end": 1214.78, "word": " اللي", "probability": 0.9169921875}, {"start": 1214.78, "end": 1215.12, "word": " الآن", "probability": 0.55206298828125}, {"start": 1215.12, "end": 1215.46, "word": " احنا", "probability": 0.8943684895833334}, {"start": 1215.46, "end": 1216.18, "word": " هندرس", "probability": 0.90869140625}, {"start": 1216.18, "end": 1216.56, "word": " ايه", "probability": 0.8434244791666666}, {"start": 1216.56, "end": 1216.62, "word": " اللي", "probability": 0.88818359375}, {"start": 1216.62, "end": 1216.98, "word": " هو", "probability": 0.91064453125}, {"start": 1216.98, "end": 1217.82, "word": " كيف", "probability": 0.95849609375}, {"start": 1217.82, "end": 1218.1, "word": " اللي", "probability": 0.922119140625}, {"start": 1218.1, "end": 1218.44, "word": " هي", "probability": 0.865234375}, {"start": 1218.44, "end": 1218.92, "word": " ايش", "probability": 0.8956705729166666}, {"start": 1218.92, "end": 1219.46, "word": " النظرية", "probability": 0.917236328125}, {"start": 1219.46, "end": 1219.98, "word": " بتقول", "probability": 0.973876953125}, {"start": 1219.98, "end": 1220.52, "word": " متى", "probability": 0.847412109375}, {"start": 1220.52, "end": 1220.78, "word": " بيكون", "probability": 0.6654052734375}, {"start": 1220.78, "end": 1221.26, "word": " حل", "probability": 0.967041015625}, {"start": 1221.26, "end": 1221.78, "word": " و", "probability": 0.93212890625}, {"start": 1221.78, "end": 1222.22, "word": " كيف", "probability": 0.83642578125}, {"start": 1222.22, "end": 1222.96, "word": " بنحل", "probability": 0.95166015625}, {"start": 1222.96, "end": 1223.32, "word": " اللي", "probability": 0.966796875}, {"start": 1223.32, "end": 1223.7, "word": " هو", "probability": 0.96728515625}, {"start": 1223.7, "end": 1224.76, "word": " التطابقات", "probability": 0.95908203125}], "temperature": 1.0}, {"id": 57, "seek": 124630, "start": 1226.32, "end": 1246.3, "text": "The Chinese remainder theorem بتقول ما يلي بالظبط Theorem 2 بتقول let M1, M2, Mn be pairwise relatively prime positive integers greater than one يعني هدول M1 و M2, Mn كلهم positive integer أكبر من واحد و relatively prime", "tokens": [2278, 4649, 29837, 20904, 39894, 39648, 19446, 7251, 20292, 20666, 19913, 3555, 9566, 440, 37956, 568, 39894, 39648, 718, 376, 16, 11, 376, 17, 11, 376, 77, 312, 6119, 3711, 7226, 5835, 3353, 41674, 5044, 813, 472, 37495, 22653, 8032, 3215, 12610, 376, 16, 4032, 376, 17, 11, 376, 77, 28242, 16095, 3353, 24922, 5551, 4117, 26890, 9154, 36764, 24401, 4032, 7226, 5835], "avg_logprob": -0.34252931037917733, "compression_ratio": 1.4171122994652405, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1226.32, "end": 1226.98, "word": "The", "probability": 0.045074462890625}, {"start": 1226.98, "end": 1227.44, "word": " Chinese", "probability": 0.5126953125}, {"start": 1227.44, "end": 1227.8, "word": " remainder", "probability": 0.68798828125}, {"start": 1227.8, "end": 1228.28, "word": " theorem", "probability": 0.85888671875}, 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"text": "ونفترض a1 و a2 و aN are arbitrary integers، then the system X تطابق ال a1 a1 عدد، X تطابق ال a2 a2 عدد، X تطابق ال aN aN عدد، طبعاً هذه مدولة M1 و هذه مدولة M2 ومدولة MN", "tokens": [2407, 1863, 5172, 2655, 43042, 257, 16, 4032, 257, 17, 4032, 257, 45, 366, 23211, 41674, 12399, 550, 264, 1185, 1783, 6055, 9566, 16758, 4587, 2423, 257, 16, 257, 16, 6225, 3215, 3215, 12399, 1783, 6055, 9566, 16758, 4587, 2423, 257, 17, 257, 17, 6225, 3215, 3215, 12399, 1783, 6055, 9566, 16758, 4587, 2423, 257, 45, 257, 45, 6225, 3215, 3215, 12399, 23032, 3555, 3615, 995, 14111, 29538, 3714, 3215, 12610, 3660, 376, 16, 4032, 29538, 3714, 3215, 12610, 3660, 376, 17, 4032, 2304, 3215, 12610, 3660, 376, 45], "avg_logprob": -0.24791668123669094, "compression_ratio": 1.6482758620689655, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1246.57, "end": 1247.23, "word": "ونفترض", "probability": 0.74696044921875}, {"start": 1247.23, "end": 1247.69, "word": " a1", "probability": 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0.993896484375}, {"start": 1257.67, "end": 1257.79, "word": " ال", "probability": 0.98779296875}, {"start": 1257.79, "end": 1258.21, "word": " aN", "probability": 0.953857421875}, {"start": 1258.21, "end": 1259.13, "word": " aN", "probability": 0.91943359375}, {"start": 1259.13, "end": 1259.57, "word": " عدد،", "probability": 0.96337890625}, {"start": 1259.57, "end": 1259.85, "word": " طبعاً", "probability": 0.827197265625}, {"start": 1259.85, "end": 1260.01, "word": " هذه", "probability": 0.64453125}, {"start": 1260.01, "end": 1260.41, "word": " مدولة", "probability": 0.824951171875}, {"start": 1260.41, "end": 1260.91, "word": " M1", "probability": 0.759521484375}, {"start": 1260.91, "end": 1261.05, "word": " و", "probability": 0.30419921875}, {"start": 1261.05, "end": 1261.15, "word": " هذه", "probability": 0.37890625}, {"start": 1261.15, "end": 1261.47, "word": " مدولة", "probability": 0.9881591796875}, {"start": 1261.47, "end": 1261.89, "word": " M2", "probability": 0.99462890625}, 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{"start": 1295.8, "end": 1296.12, "word": " ال", "probability": 0.931640625}, {"start": 1296.12, "end": 1296.58, "word": " linear", "probability": 0.81103515625}, {"start": 1296.58, "end": 1297.62, "word": " congruences", "probability": 0.6666666666666666}, {"start": 1297.62, "end": 1298.14, "word": " هذه", "probability": 0.321044921875}, {"start": 1298.14, "end": 1298.7, "word": " تطابق", "probability": 0.9464111328125}, {"start": 1298.7, "end": 1298.86, "word": " اي", "probability": 0.3646240234375}, {"start": 1298.86, "end": 1299.16, "word": " واحد", "probability": 0.967529296875}, {"start": 1299.16, "end": 1299.38, "word": " مدل", "probability": 0.7333984375}, {"start": 1299.38, "end": 1299.6, "word": " ام", "probability": 0.6053466796875}, {"start": 1299.6, "end": 1300.0, "word": " واحد", "probability": 0.98876953125}, {"start": 1300.0, "end": 1300.18, "word": " وال", "probability": 0.60595703125}, {"start": 1300.18, "end": 1300.36, "word": " X", "probability": 0.206787109375}, {"start": 1300.36, "end": 1300.78, "word": " تطابق", "probability": 0.9700927734375}, {"start": 1300.78, "end": 1301.2, "word": " اتنين", "probability": 0.8759765625}, {"start": 1301.2, "end": 1301.5, "word": " مدل", "probability": 0.9788411458333334}, {"start": 1301.5, "end": 1301.78, "word": " ام", "probability": 0.914306640625}, {"start": 1301.78, "end": 1302.1, "word": " اتنين", "probability": 0.96630859375}], "temperature": 1.0}, {"id": 61, "seek": 131882, "start": 1302.76, "end": 1318.82, "text": "تطابق en modulo mn هذي بيكون solution unique لها modulo m بس بشرط ان m1 و m2 و mn يكون in pair wise relatively prime يعني كل تنتين مع بعض العامل المشترك الأعلى بينهين بساوي واحد", "tokens": [2655, 9566, 16758, 4587, 465, 1072, 13455, 275, 77, 8032, 8848, 1829, 4724, 1829, 30544, 3827, 3845, 5296, 11296, 1072, 13455, 275, 4724, 3794, 4724, 46309, 9566, 16472, 275, 16, 4032, 275, 17, 4032, 275, 77, 7251, 30544, 294, 6119, 10829, 7226, 5835, 37495, 22653, 28242, 6055, 29399, 9957, 20449, 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