{"segments": [{"id": 1, "seek": 3790, "start": 19.84, "end": 37.9, "text": "بسم الله الرحمن الرحيم ابتداء من section 5-2 وحتى هذه اللحظة واحنا بنشتغل على معادلة خطية من الرثب النونية بمعاملات ثابتة المعاملات المتغيرة حتى الآن ماعناش علاقة فيها", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 48127, 2655, 3215, 16606, 9154, 3541, 1025, 12, 17, 4032, 33753, 7578, 29538, 13672, 5016, 19913, 3660, 4032, 39319, 8315, 44945, 8592, 2655, 17082, 1211, 15844, 20449, 18513, 37977, 16490, 9566, 10632, 9154, 34892, 12984, 3555, 28239, 11536, 10632, 4724, 2304, 3615, 10943, 1211, 9307, 38637, 16758, 2655, 3660, 9673, 3615, 10943, 1211, 9307, 9673, 2655, 17082, 48923, 11331, 49975, 6024, 48506, 19446, 3615, 1863, 33599, 11203, 995, 28671, 8978, 11296], "avg_logprob": -0.11670524691358025, "compression_ratio": 1.6318681318681318, "no_speech_prob": 1.0728836059570312e-06, "words": [{"start": 19.84, "end": 20.12, "word": "بسم", "probability": 0.93994140625}, {"start": 20.12, 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"probability": 0.9287109375}, {"start": 114.5, "end": 115.04, "word": " المشتقة", "probability": 0.8370361328125}, {"start": 115.04, "end": 115.44, "word": " الأولى", "probability": 0.9274088541666666}, {"start": 115.44, "end": 115.5, "word": " و", "probability": 0.377197265625}, {"start": 115.5, "end": 115.96, "word": " التانية", "probability": 0.9178059895833334}, {"start": 115.96, "end": 116.08, "word": " و", "probability": 0.943359375}, {"start": 116.08, "end": 116.46, "word": " التالتة", "probability": 0.9605712890625}, {"start": 116.46, "end": 116.56, "word": " و", "probability": 0.95556640625}, {"start": 116.56, "end": 116.84, "word": " الرابعة", "probability": 0.96728515625}, {"start": 116.84, "end": 117.28, "word": " أنونية", "probability": 0.6117757161458334}, {"start": 117.28, "end": 117.4, "word": " و", "probability": 0.8955078125}, {"start": 117.4, "end": 117.74, "word": " عوضنا", "probability": 0.966552734375}, {"start": 117.74, "end": 117.88, "word": " في", 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"word": " الأولى", "probability": 0.9659830729166666}, {"start": 141.65, "end": 142.31, "word": " حالة", "probability": 0.9775390625}, {"start": 142.31, "end": 142.53, "word": " ال", "probability": 0.83984375}, {"start": 142.53, "end": 142.69, "word": " real", "probability": 0.377685546875}, {"start": 142.69, "end": 143.23, "word": " repeated", "probability": 0.9248046875}, {"start": 143.23, "end": 143.87, "word": " والحالة", "probability": 0.877197265625}, {"start": 143.87, "end": 144.17, "word": " الثانية", "probability": 0.9425048828125}, {"start": 144.17, "end": 144.57, "word": " حالة", "probability": 0.9895833333333334}, {"start": 144.57, "end": 144.77, "word": " ال", "probability": 0.94775390625}, {"start": 144.77, "end": 145.37, "word": " complex", "probability": 0.96533203125}, {"start": 145.37, "end": 146.37, "word": " repeated", "probability": 0.97119140625}], "temperature": 1.0}, {"id": 7, "seek": 16573, "start": 146.93, "end": 165.73, "text": "إذا لو كانت الجذور حقيقية 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"word": " روحت", "probability": 0.8173828125}, {"start": 180.47, "end": 180.81, "word": " حسبهم", "probability": 0.8619791666666666}, {"start": 180.81, "end": 181.19, "word": " بلاقيهم", "probability": 0.62005615234375}, {"start": 181.19, "end": 181.47, "word": " كلهم", "probability": 0.891845703125}, {"start": 181.47, "end": 181.85, "word": " linearly", "probability": 0.90283203125}, {"start": 181.85, "end": 182.37, "word": " independent", "probability": 0.96533203125}], "temperature": 1.0}, {"id": 9, "seek": 20315, "start": 182.91, "end": 203.15, "text": "يبقى شكل الحل العام في هذه الحالة بيكون على صورة C1 زي C2X زي C3X تربية زي CNX أُس الناقص واحد E أُس R اللي طلعت عند هنا اللي تبعت تقرار يبقى هذا شكل الحل العام لو كانت الجذور حقيقية ومكررة", "tokens": [1829, 3555, 4587, 7578, 13412, 28820, 21542, 1211, 18863, 10943, 8978, 29538, 21542, 6027, 3660, 4724, 1829, 30544, 15844, 20328, 13063, 3660, 383, 16, 30767, 1829, 383, 17, 55, 30767, 1829, 383, 18, 55, 6055, 25513, 10632, 30767, 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بقوله the general solution", "tokens": [10721, 2407, 6055, 1211, 9307, 3660, 3714, 37983, 2288, 1975, 1829, 3224, 6055, 1211, 9307, 3714, 2288, 9307, 7251, 3555, 4587, 7578, 9122, 45865, 3794, 7251, 3555, 4587, 7578, 1975, 8315, 23032, 6027, 3615, 18871, 16254, 11331, 38436, 38436, 4032, 3714, 37983, 2288, 1975, 1829, 20328, 1829, 17082, 3660, 21542, 38436, 38436, 4032, 3714, 37983, 2288, 4724, 32887, 5016, 4724, 39648, 3224, 264, 2674, 3827], "avg_logprob": -0.22443182314887192, "compression_ratio": 1.4927536231884058, "no_speech_prob": 0.0, "words": [{"start": 539.93, "end": 541.05, "word": "أو", "probability": 0.6988525390625}, {"start": 541.05, "end": 542.17, "word": " تلاتة", "probability": 0.754150390625}, {"start": 542.17, "end": 542.59, "word": " مكرر", "probability": 0.8181966145833334}, {"start": 542.59, "end": 542.87, "word": " ايه", "probability": 0.5152994791666666}, {"start": 542.87, "end": 543.65, "word": " تلات", "probability": 0.6935221354166666}, {"start": 543.65, 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جداش زاد اربعة بده يساوي زيرو يبقى الأولى مكررة كام مرة وجداش حقيقية ولا complex", "tokens": [11622, 18513, 1975, 25513, 27884, 1975, 2288, 6055, 4117, 1829, 1829, 3555, 47525, 3224, 7251, 3794, 995, 45865, 3714, 9957, 47525, 3224, 7251, 3794, 995, 45865, 30767, 13546, 2407, 7251, 3555, 4587, 7578, 44945, 16606, 47356, 45164, 5551, 9778, 3215, 2655, 1975, 2288, 6055, 4117, 1829, 1829, 3555, 6225, 10943, 1211, 37893, 2655, 31747, 4724, 1829, 19913, 1211, 1975, 2288, 6055, 2288, 21292, 3615, 30767, 18513, 10874, 3215, 33599, 30767, 18513, 1975, 25513, 27884, 47525, 3224, 7251, 3794, 995, 45865, 30767, 13546, 2407, 7251, 3555, 4587, 7578, 16247, 12610, 7578, 3714, 37983, 25720, 9122, 10943, 3714, 25720, 49610, 3215, 33599, 11331, 38436, 4587, 10632, 49429, 3997], "avg_logprob": -0.20268691198848118, "compression_ratio": 1.9195402298850575, "no_speech_prob": 0.0, "words": [{"start": 871.98, "end": 872.52, "word": "زاد", "probability": 0.62841796875}, {"start": 872.52, "end": 873.12, 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"probability": 0.494873046875}, {"start": 1041.19, "end": 1044.35, "word": " differential", "probability": 0.8251953125}, {"start": 1044.35, "end": 1046.83, "word": " equation", "probability": 0.97998046875}, {"start": 1046.83, "end": 1050.37, "word": " with", "probability": 0.316650390625}, {"start": 1050.37, "end": 1053.13, "word": " constant", "probability": 0.94921875}, {"start": 1053.13, "end": 1054.25, "word": " coefficients", "probability": 0.8408203125}, {"start": 1054.25, "end": 1055.39, "word": " with", "probability": 0.75048828125}, {"start": 1055.39, "end": 1057.45, "word": " constant", "probability": 0.93896484375}], "temperature": 1.0}, {"id": 45, "seek": 108142, "start": 1063.16, "end": 1081.42, "text": "بمعاملات ثابتة بمعاملات ثابتة بمعاملات ثابتة of order 11 which has a characteristic equation", "tokens": [3555, 2304, 3615, 10943, 1211, 9307, 38637, 16758, 2655, 3660, 4724, 2304, 3615, 10943, 1211, 9307, 38637, 16758, 2655, 3660, 4724, 2304, 3615, 10943, 1211, 9307, 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which", "probability": 0.265625}, {"start": 1073.0, "end": 1073.74, "word": " has", "probability": 0.9013671875}, {"start": 1073.74, "end": 1079.46, "word": " a", "probability": 0.6494140625}, {"start": 1079.46, "end": 1080.1, "word": " characteristic", "probability": 0.89794921875}, {"start": 1080.1, "end": 1081.42, "word": " equation", "probability": 0.98095703125}], "temperature": 1.0}, {"id": 46, "seek": 111782, "start": 1088.66, "end": 1117.82, "text": "الـ P of R بدي ساوي R زائد اتنين و R ناقص تلاتة أس أربعة و R ترابيع زائد اتنين R زائد خمسة لكل تكيب هذا الكلام بدي ساوي قداش Zero Find the", "tokens": [6027, 39184, 430, 295, 497, 4724, 16254, 8608, 995, 45865, 497, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 4032, 497, 8717, 995, 4587, 9381, 6055, 1211, 9307, 3660, 5551, 3794, 5551, 25513, 27884, 4032, 497, 6055, 2288, 16758, 40228, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 497, 30767, 16373, 3215, 16490, 2304, 3794, 3660, 5296, 28820, 6055, 4117, 1829, 3555, 23758, 2423, 28820, 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{"start": 1107.7, "end": 1108.5, "word": " خمسة", "probability": 0.96875}, {"start": 1108.5, "end": 1109.12, "word": " لكل", "probability": 0.938720703125}, {"start": 1109.12, "end": 1110.4, "word": " تكيب", "probability": 0.9339599609375}, {"start": 1110.4, "end": 1111.12, "word": " هذا", "probability": 0.9013671875}, {"start": 1111.12, "end": 1111.64, "word": " الكلام", "probability": 0.97705078125}, {"start": 1111.64, "end": 1111.9, "word": " بدي", "probability": 0.9169921875}, {"start": 1111.9, "end": 1112.3, "word": " ساوي", "probability": 0.9078776041666666}, {"start": 1112.3, "end": 1113.0, "word": " قداش", "probability": 0.833984375}, {"start": 1113.0, "end": 1113.52, "word": " Zero", "probability": 0.68212890625}, {"start": 1113.52, "end": 1115.58, "word": " Find", "probability": 0.464111328125}, {"start": 1115.58, "end": 1117.82, "word": " the", "probability": 0.53076171875}], "temperature": 1.0}, {"id": 47, "seek": 113261, "start": 1118.66, "end": 1132.62, "text": "General solution of the given differential equation", "tokens": [46302, 3827, 295, 264, 2212, 15756, 5367], "avg_logprob": -0.4851074293255806, "compression_ratio": 0.9272727272727272, "no_speech_prob": 0.0, "words": [{"start": 1118.66, "end": 1119.4, "word": "General", "probability": 0.1256103515625}, {"start": 1119.4, "end": 1122.12, "word": " solution", "probability": 0.83740234375}, {"start": 1122.12, "end": 1124.6, "word": " of", "probability": 0.96337890625}, {"start": 1124.6, "end": 1126.4, "word": " the", "probability": 0.654296875}, {"start": 1126.4, "end": 1127.1, "word": " given", "probability": 0.458740234375}, {"start": 1127.1, "end": 1130.58, "word": " differential", "probability": 0.84765625}, {"start": 1130.58, "end": 1132.62, "word": " equation", "probability": 0.8466796875}], "temperature": 1.0}, {"id": 48, "seek": 117803, "start": 1160.49, "end": 1178.03, "text": "السؤال مرتين بقول كل اللي قعدت كتبة تسميهم هنا؟ قول كيف اللي جامد كتب و أنت لأ يعني؟ يلا كل أحد اسمه رقم اليامي، اللي ماكتبش تكتب، علي بالك هنا", "tokens": [6027, 3794, 33604, 6027, 3714, 43500, 9957, 4724, 39648, 28242, 13672, 1829, 12174, 22488, 2655, 9122, 2655, 49401, 6055, 38251, 1829, 16095, 34105, 22807, 12174, 12610, 9122, 33911, 13672, 1829, 10874, 10943, 3215, 9122, 2655, 3555, 4032, 14739, 2655, 5296, 10721, 37495, 22653, 22807, 7251, 15040, 28242, 5551, 24401, 24525, 2304, 3224, 12602, 4587, 2304, 45595, 10943, 1829, 12399, 13672, 1829, 19446, 4117, 2655, 3555, 8592, 6055, 4117, 2655, 3555, 12399, 25894, 20666, 4117, 34105], "avg_logprob": -0.34066613175367055, "compression_ratio": 1.7364864864864864, "no_speech_prob": 0.0, "words": [{"start": 1160.49, "end": 1160.91, "word": "السؤال", "probability": 0.8470458984375}, {"start": 1160.91, "end": 1161.37, "word": " مرتين", "probability": 0.8318684895833334}, {"start": 1161.37, "end": 1161.81, "word": " بقول", "probability": 0.6900634765625}, {"start": 1161.81, "end": 1164.09, "word": " كل", "probability": 0.61572265625}, {"start": 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"word": " المعادلة", "probability": 0.98046875}, {"start": 1188.2, "end": 1188.76, "word": " بس", "probability": 0.9619140625}, {"start": 1188.76, "end": 1189.04, "word": " بده", "probability": 0.699462890625}, {"start": 1189.04, "end": 1189.32, "word": " يشوفه", "probability": 0.939208984375}, {"start": 1189.32, "end": 1189.64, "word": " بيعرف", "probability": 0.75732421875}, {"start": 1189.64, "end": 1189.96, "word": " يجيب", "probability": 0.9873046875}, {"start": 1189.96, "end": 1190.46, "word": " الحل", "probability": 0.98046875}, {"start": 1190.46, "end": 1190.72, "word": " ولا", "probability": 0.86181640625}, {"start": 1190.72, "end": 1191.04, "word": " لا", "probability": 0.69873046875}, {"start": 1191.04, "end": 1191.94, "word": " كاللي", "probability": 0.4097493489583333}, {"start": 1191.94, "end": 1192.1, "word": " أنا", "probability": 0.45947265625}, {"start": 1192.1, "end": 1192.42, "word": " عندي", "probability": 0.96484375}, {"start": 1192.42, "end": 1192.9, "word": " 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