diff --git "a/PL9fwy3NUQKwavFmspRNWAhbDWNXQPDNlH/YaYohwowYOA_raw.json" "b/PL9fwy3NUQKwavFmspRNWAhbDWNXQPDNlH/YaYohwowYOA_raw.json" new file mode 100644--- /dev/null +++ "b/PL9fwy3NUQKwavFmspRNWAhbDWNXQPDNlH/YaYohwowYOA_raw.json" @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 2076, "start": 4.82, "end": 20.76, "text": "بسم الله الرحمن الرحيم المحاضرة الثانية في مساق تحليل رياضي 2 أو تحليل حقيقي 2 اتحدثنا المرة الماضية عن", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 9673, 5016, 46958, 25720, 6024, 104, 7649, 10632, 8978, 47524, 995, 4587, 6055, 5016, 20292, 1211, 12602, 1829, 46958, 1829, 568, 34051, 6055, 5016, 20292, 1211, 11331, 38436, 4587, 1829, 568, 1975, 2655, 24401, 12984, 8315, 9673, 25720, 9673, 46958, 10632, 18871], "avg_logprob": -0.08165565262047145, "compression_ratio": 1.6460176991150441, "no_speech_prob": 6.157159805297852e-05, "words": [{"start": 4.82, "end": 5.16, "word": "بسم", "probability": 0.88330078125}, {"start": 5.16, "end": 5.32, "word": " الله", "probability": 0.95361328125}, {"start": 5.32, "end": 5.66, "word": " الرحمن", "probability": 0.9597981770833334}, {"start": 5.66, "end": 6.22, "word": " الرحيم", "probability": 0.994140625}, {"start": 6.22, "end": 8.02, "word": " المحاضرة", "probability": 0.964599609375}, {"start": 8.02, "end": 8.88, "word": " الثانية", "probability": 0.9542236328125}, {"start": 8.88, "end": 9.82, "word": " في", "probability": 0.92578125}, {"start": 9.82, "end": 10.48, "word": " مساق", "probability": 0.94921875}, {"start": 10.48, "end": 11.46, "word": " تحليل", "probability": 0.9810791015625}, {"start": 11.46, "end": 12.08, "word": " رياضي", "probability": 0.9884033203125}, {"start": 12.08, "end": 12.58, "word": " 2", "probability": 0.359375}, {"start": 12.58, "end": 13.32, "word": " أو", "probability": 0.57666015625}, {"start": 13.32, "end": 13.72, "word": " تحليل", "probability": 0.981689453125}, {"start": 13.72, "end": 14.18, "word": " حقيقي", "probability": 0.8695068359375}, {"start": 14.18, "end": 14.6, "word": " 2", "probability": 0.96826171875}, {"start": 14.6, "end": 18.48, "word": " اتحدثنا", "probability": 0.89296875}, {"start": 18.48, "end": 18.88, "word": " المرة", "probability": 0.977783203125}, {"start": 18.88, "end": 19.66, "word": " الماضية", "probability": 0.99462890625}, {"start": 19.66, "end": 20.76, "word": " عن", "probability": 0.98876953125}], "temperature": 1.0}, {"id": 2, "seek": 4240, "start": 21.4, "end": 42.4, "text": "الـ differentiation بدأنا بشرتر ستة بدأنا في ال section الأول ستة واحد اللي هو ال derivative او اللي هو الاشتقاق او المشتق الأولى وعرفنا شو معناه اللي هو الاشتقاق عرفنا شو معناه ان الدولة تكون differentiable عند نقطة اللي هي", "tokens": [6027, 39184, 38902, 47525, 10721, 8315, 4724, 8592, 43500, 2288, 8608, 2655, 3660, 47525, 10721, 8315, 8978, 2423, 3541, 16247, 12610, 8608, 2655, 3660, 36764, 24401, 13672, 1829, 31439, 2423, 13760, 1975, 2407, 13672, 1829, 31439, 2423, 33599, 2655, 4587, 995, 4587, 1975, 2407, 9673, 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{"start": 37.72, "end": 37.84, "word": " ان", "probability": 0.6767578125}, {"start": 37.84, "end": 38.42, "word": " الدولة", "probability": 0.5034993489583334}, {"start": 38.42, "end": 39.08, "word": " تكون", "probability": 0.812255859375}, {"start": 39.08, "end": 40.04, "word": " differentiable", "probability": 0.811279296875}, {"start": 40.04, "end": 40.78, "word": " عند", "probability": 0.97412109375}, {"start": 40.78, "end": 41.66, "word": " نقطة", "probability": 0.9490559895833334}, {"start": 41.66, "end": 41.92, "word": " اللي", "probability": 0.8427734375}, {"start": 41.92, "end": 42.4, "word": " هي", "probability": 0.93408203125}], "temperature": 1.0}, {"id": 3, "seek": 6341, "start": 44.57, "end": 63.41, "text": "في interval I حيث أخدنا F عبارة عن الـ function من I ل R وقلنا C element in I بتكون الدالة عندها قابلة للاشتقاق يعني F prime of C exist if the following limit exist اللي هو limit", "tokens": [41185, 15035, 286, 11331, 1829, 12984, 5551, 9778, 3215, 8315, 479, 6225, 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0.81201171875}, {"start": 53.43, "end": 54.19, "word": " الدالة", "probability": 0.9703776041666666}, {"start": 54.19, "end": 54.63, "word": " عندها", "probability": 0.98095703125}, {"start": 54.63, "end": 55.23, "word": " قابلة", "probability": 0.9777018229166666}, {"start": 55.23, "end": 56.31, "word": " للاشتقاق", "probability": 0.8650716145833334}, {"start": 56.31, "end": 57.09, "word": " يعني", "probability": 0.85888671875}, {"start": 57.09, "end": 57.39, "word": " F", "probability": 0.8701171875}, {"start": 57.39, "end": 58.03, "word": " prime", "probability": 0.4580078125}, {"start": 58.03, "end": 58.67, "word": " of", "probability": 0.95458984375}, {"start": 58.67, "end": 58.95, "word": " C", "probability": 0.97314453125}, {"start": 58.95, "end": 59.63, "word": " exist", "probability": 0.60595703125}, {"start": 59.63, "end": 60.19, "word": " if", "probability": 0.611328125}, {"start": 60.19, "end": 61.01, "word": " the", "probability": 0.765625}, {"start": 61.01, "end": 61.49, "word": " following", "probability": 0.89111328125}, {"start": 61.49, "end": 62.03, "word": " limit", "probability": 0.95556640625}, {"start": 62.03, "end": 62.55, "word": " exist", "probability": 0.60888671875}, {"start": 62.55, "end": 62.77, "word": " اللي", "probability": 0.865478515625}, {"start": 62.77, "end": 62.93, "word": " هو", "probability": 0.97607421875}, {"start": 62.93, "end": 63.41, "word": " limit", "probability": 0.85888671875}], "temperature": 1.0}, {"id": 4, "seek": 8955, "start": 64.01, "end": 89.55, "text": "f of x ناقص f of c على x minus c as x goes to c exist إذا كانت هذه الـ limit exist بنقول عن الـ f برايب exist و بتكون هي قيمة هذه ال limit الآن و بعد ذلك مرّينا على اللي هو بعض الخواص", "tokens": [69, 295, 2031, 8717, 995, 4587, 9381, 283, 295, 269, 15844, 2031, 3175, 269, 382, 2031, 1709, 281, 269, 2514, 11933, 15730, 25961, 2655, 29538, 2423, 39184, 4948, 2514, 44945, 39648, 18871, 2423, 39184, 283, 4724, 23557, 1829, 3555, 2514, 4032, 39894, 30544, 39896, 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{"start": 68.23, "end": 68.57, "word": " minus", "probability": 0.798828125}, {"start": 68.57, "end": 69.13, "word": " c", "probability": 0.943359375}, {"start": 69.13, "end": 70.05, "word": " as", "probability": 0.63037109375}, {"start": 70.05, "end": 70.45, "word": " x", "probability": 0.974609375}, {"start": 70.45, "end": 70.77, "word": " goes", "probability": 0.90673828125}, {"start": 70.77, "end": 71.01, "word": " to", "probability": 0.97900390625}, {"start": 71.01, "end": 71.45, "word": " c", "probability": 0.91650390625}, {"start": 71.45, "end": 72.75, "word": " exist", "probability": 0.58837890625}, {"start": 72.75, "end": 73.53, "word": " إذا", "probability": 0.890380859375}, {"start": 73.53, "end": 73.91, "word": " كانت", "probability": 0.97216796875}, {"start": 73.91, "end": 74.11, "word": " هذه", "probability": 0.720703125}, {"start": 74.11, "end": 74.23, "word": " الـ", "probability": 0.3470458984375}, {"start": 74.23, "end": 74.45, "word": " limit", "probability": 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ال", "probability": 0.68310546875}, {"start": 81.83, "end": 82.15, "word": " limit", "probability": 0.70361328125}, {"start": 82.15, "end": 83.27, "word": " الآن", "probability": 0.65478515625}, {"start": 83.27, "end": 83.63, "word": " و", "probability": 0.69873046875}, {"start": 83.63, "end": 84.21, "word": " بعد", "probability": 0.953125}, {"start": 84.21, "end": 84.91, "word": " ذلك", "probability": 0.9873046875}, {"start": 84.91, "end": 85.91, "word": " مرّينا", "probability": 0.78330078125}, {"start": 85.91, "end": 86.31, "word": " على", "probability": 0.9169921875}, {"start": 86.31, "end": 86.65, "word": " اللي", "probability": 0.92724609375}, {"start": 86.65, "end": 87.11, "word": " هو", "probability": 0.994140625}, {"start": 87.11, "end": 88.73, "word": " بعض", "probability": 0.93017578125}, {"start": 88.73, "end": 89.55, "word": " الخواص", "probability": 0.8126627604166666}], "temperature": 1.0}, {"id": 5, "seek": 10838, "start": 90.36, "end": 108.38, "text": "وقلنا الخاصية الأولى عندنا اللى هى انه لو كانت الدالة اللى هى differentiable at C بتكون continuous برضه وين عند C يعني اي differentiable function must be continuous", "tokens": [2407, 4587, 1211, 8315, 33962, 33546, 10632, 16247, 12610, 7578, 43242, 8315, 13672, 7578, 8032, 7578, 16472, 3224, 45164, 25961, 2655, 32748, 6027, 3660, 13672, 7578, 8032, 7578, 819, 9364, 412, 383, 39894, 30544, 10957, 4724, 43042, 3224, 4032, 9957, 43242, 383, 37495, 22653, 1975, 1829, 819, 9364, 2445, 1633, 312, 10957], "avg_logprob": -0.29363208446862565, "compression_ratio": 1.5161290322580645, "no_speech_prob": 0.0, "words": [{"start": 90.36, "end": 90.84, "word": "وقلنا", "probability": 0.577606201171875}, {"start": 90.84, "end": 91.64, "word": " الخاصية", "probability": 0.9724934895833334}, {"start": 91.64, "end": 92.52, "word": " الأولى", "probability": 0.9807942708333334}, {"start": 92.52, "end": 93.08, "word": " عندنا", "probability": 0.70263671875}, {"start": 93.08, "end": 93.92, "word": " اللى", "probability": 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103.14, "end": 103.8, "word": " برضه", "probability": 0.87841796875}, {"start": 103.8, "end": 104.26, "word": " وين", "probability": 0.75146484375}, {"start": 104.26, "end": 104.88, "word": " عند", "probability": 0.8603515625}, {"start": 104.88, "end": 105.1, "word": " C", "probability": 0.8798828125}, {"start": 105.1, "end": 105.34, "word": " يعني", "probability": 0.703369140625}, {"start": 105.34, "end": 105.52, "word": " اي", "probability": 0.5390625}, {"start": 105.52, "end": 106.16, "word": " differentiable", "probability": 0.54901123046875}, {"start": 106.16, "end": 106.58, "word": " function", "probability": 0.97265625}, {"start": 106.58, "end": 106.9, "word": " must", "probability": 0.70263671875}, {"start": 106.9, "end": 107.32, "word": " be", "probability": 0.95361328125}, {"start": 107.32, "end": 108.38, "word": " continuous", "probability": 0.90087890625}], "temperature": 1.0}, {"id": 6, "seek": 12728, "start": 109.42, "end": 127.28, "text": "قلنا إن الـ converse need not to be true in general واخدنا مثال قلنا f of x بتساوي ال absolute value لل x اللي هي عبارة عن continuous function لكن مش differentiable عند ال zero continuous everywhere but it is not differentiable at zero", "tokens": [4587, 1211, 8315, 36145, 2423, 39184, 416, 4308, 643, 406, 281, 312, 2074, 294, 2674, 4032, 47283, 3215, 8315, 50113, 6027, 12174, 1211, 8315, 283, 295, 2031, 39894, 3794, 995, 45865, 2423, 8236, 2158, 24976, 2031, 13672, 1829, 39896, 6225, 3555, 9640, 3660, 18871, 10957, 2445, 44381, 37893, 819, 9364, 43242, 2423, 4018, 10957, 5315, 457, 309, 307, 406, 819, 9364, 412, 4018], "avg_logprob": -0.2692871089093387, "compression_ratio": 1.4477611940298507, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 109.42, "end": 109.88, "word": "قلنا", "probability": 0.5940755208333334}, {"start": 109.88, "end": 110.08, "word": " إن", "probability": 0.449462890625}, {"start": 110.08, "end": 110.24, "word": " الـ", "probability": 0.77294921875}, {"start": 110.24, "end": 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{"start": 149.44, "end": 149.98, "word": " وقلنا", "probability": 0.720123291015625}, {"start": 149.98, "end": 150.62, "word": " هل", "probability": 0.889892578125}, {"start": 150.62, "end": 151.02, "word": " ممكن", "probability": 0.98876953125}, {"start": 151.02, "end": 151.2, "word": " اللي", "probability": 0.4072265625}, {"start": 151.2, "end": 151.66, "word": " جينا", "probability": 0.7150065104166666}, {"start": 151.66, "end": 152.42, "word": " دالة", "probability": 0.984375}, {"start": 152.42, "end": 153.2, "word": " تكون", "probability": 0.74853515625}, {"start": 153.2, "end": 153.78, "word": " continuous", "probability": 0.96533203125}, {"start": 153.78, "end": 154.1, "word": " وين", "probability": 0.821533203125}, {"start": 154.1, "end": 154.28, "word": " ما", "probability": 0.55322265625}, {"start": 154.28, "end": 154.7, "word": " كان", "probability": 0.794921875}], "temperature": 1.0}, {"id": 8, "seek": 17631, "start": 155.23, "end": 176.31, "text": "و مش differentiable ولا في مكان قلنا اه و قلنا اخد الدالة f of x بساعة ال summation واحد على اتنين أس ان كسين تلاتة أس ان اكس هذه الدالة is continuous everywhere but it is not differentiable anywhere وبعد هيك اتينا", "tokens": [2407, 37893, 819, 9364, 49429, 8978, 3714, 41361, 12174, 1211, 8315, 1975, 3224, 4032, 12174, 1211, 8315, 1975, 9778, 3215, 32748, 6027, 3660, 283, 295, 2031, 4724, 3794, 995, 27884, 2423, 28811, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 5551, 3794, 16472, 9122, 3794, 9957, 6055, 1211, 9307, 3660, 5551, 3794, 16472, 1975, 4117, 3794, 29538, 32748, 6027, 3660, 307, 10957, 5315, 457, 309, 307, 406, 819, 9364, 4992, 46599, 22488, 39896, 4117, 1975, 31371, 8315], "avg_logprob": -0.37621753866022284, "compression_ratio": 1.5692307692307692, "no_speech_prob": 0.0, "words": [{"start": 155.23, "end": 155.49, "word": "و", "probability": 0.666015625}, {"start": 155.49, "end": 155.71, "word": " مش", "probability": 0.1412353515625}, {"start": 155.71, "end": 156.57, "word": " differentiable", 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"word": " وبعد", "probability": 0.720703125}, {"start": 175.41, "end": 175.85, "word": " هيك", "probability": 0.883544921875}, {"start": 175.85, "end": 176.31, "word": " اتينا", "probability": 0.72802734375}], "temperature": 1.0}, {"id": 9, "seek": 19178, "start": 184.88, "end": 191.78, "text": "حكينا عن بعض اللي هو قوانين الاشتقاق قولنا لو كانت الدالة", "tokens": [5016, 4117, 1829, 8315, 18871, 45030, 11242, 13672, 1829, 31439, 12174, 2407, 7649, 9957, 2423, 33599, 2655, 4587, 995, 4587, 12174, 12610, 8315, 45164, 25961, 2655, 32748, 6027, 3660], "avg_logprob": -0.19661458482344946, "compression_ratio": 1.2839506172839505, "no_speech_prob": 8.940696716308594e-07, "words": [{"start": 184.88, "end": 186.2, "word": "حكينا", "probability": 0.834716796875}, {"start": 186.2, "end": 186.5, "word": " عن", "probability": 0.974609375}, {"start": 186.5, "end": 187.6, "word": " بعض", "probability": 0.908935546875}, {"start": 187.6, "end": 187.84, "word": " اللي", "probability": 0.60302734375}, 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خد", "probability": 0.933349609375}], "temperature": 1.0}, {"id": 55, "seek": 133174, "start": 1304.0, "end": 1331.74, "text": "Example جاي لنت F من عند I لعند R بيه a differentiable function من هنا نفترض ان ال F أشبه لها يا جماعة عبارة عندها لقابلة للاشتقاق عند نقطة وين على ال I أو عند ال I كلها مش مشكلة ماشي الحال بقولك اثبتلي", "tokens": [11149, 335, 781, 10874, 47302, 5296, 29399, 479, 9154, 43242, 286, 5296, 3615, 41260, 497, 4724, 1829, 3224, 257, 819, 9364, 2445, 9154, 34105, 8717, 5172, 2655, 43042, 16472, 2423, 479, 5551, 8592, 3555, 3224, 5296, 11296, 35186, 10874, 15042, 27884, 6225, 3555, 9640, 3660, 43242, 11296, 5296, 4587, 16758, 37977, 5296, 15040, 8592, 2655, 4587, 995, 4587, 43242, 8717, 47432, 3660, 4032, 9957, 15844, 2423, 286, 34051, 43242, 2423, 286, 28242, 11296, 37893, 37893, 28820, 3660, 3714, 33599, 1829, 21542, 6027, 4724, 39648, 4117, 1975, 12984, 3555, 2655, 20292], "avg_logprob": -0.2671703303253258, "compression_ratio": 1.5330188679245282, 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"probability": 0.984130859375}, {"start": 2073.12, "end": 2073.24, "word": " اللي", "probability": 0.869140625}, {"start": 2073.24, "end": 2073.4, "word": " هو", "probability": 0.98095703125}, {"start": 2073.4, "end": 2073.68, "word": " F", "probability": 0.94189453125}, {"start": 2073.68, "end": 2073.88, "word": " of", "probability": 0.8525390625}, {"start": 2073.88, "end": 2074.56, "word": " XN", "probability": 0.91015625}, {"start": 2074.56, "end": 2075.26, "word": " برضه", "probability": 0.9773763020833334}, {"start": 2075.26, "end": 2075.56, "word": " يروح", "probability": 0.9933268229166666}, {"start": 2075.56, "end": 2076.24, "word": " لمين", "probability": 0.83935546875}, {"start": 2076.24, "end": 2076.8, "word": " لل", "probability": 0.4580078125}, {"start": 2076.8, "end": 2077.76, "word": " L،", "probability": 0.578857421875}, {"start": 2077.76, "end": 2078.78, "word": " بصبوط؟", "probability": 0.708984375}, {"start": 2078.78, "end": 2078.96, "word": " هذه", "probability": 0.266845703125}, {"start": 2078.96, "end": 2079.66, "word": " كcontinuity", "probability": 0.6693115234375}, {"start": 2079.66, "end": 2079.78, "word": " اللي", "probability": 0.91015625}, {"start": 2079.78, "end": 2080.04, "word": " بتحكي", "probability": 0.949462890625}, {"start": 2080.04, "end": 2080.26, "word": " عنها", "probability": 0.994384765625}], "temperature": 1.0}, {"id": 88, "seek": 209583, "start": 2080.89, "end": 2095.83, "text": "اللي كده كانت limit F of X لما X تروح للـ A بساوي L و IG تأخدت أي sequence XN بتروح للـ A هيطلع limit F of XN مش بيروح بساوي لL ماشي هذه اللي هي النظرية", "tokens": [6027, 20292, 9122, 3215, 3224, 25961, 2655, 4948, 479, 295, 1783, 5296, 15042, 1783, 6055, 32887, 5016, 24976, 39184, 316, 4724, 3794, 995, 45865, 441, 4032, 26367, 6055, 10721, 9778, 3215, 2655, 36632, 8310, 1783, 45, 39894, 32887, 5016, 24976, 39184, 316, 39896, 9566, 1211, 3615, 4948, 479, 295, 1783, 45, 37893, 4724, 13546, 2407, 5016, 4724, 3794, 995, 45865, 5296, 43, 3714, 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"probability": 0.9065755208333334}, {"start": 2083.53, "end": 2083.73, "word": " للـ", "probability": 0.3826904296875}, {"start": 2083.73, "end": 2083.77, "word": " A", "probability": 0.458251953125}, {"start": 2083.77, "end": 2084.21, "word": " بساوي", "probability": 0.6617431640625}, {"start": 2084.21, "end": 2084.55, "word": " L", "probability": 0.89208984375}, {"start": 2084.55, "end": 2085.83, "word": " و", "probability": 0.12066650390625}, {"start": 2085.83, "end": 2086.89, "word": " IG", "probability": 0.455322265625}, {"start": 2086.89, "end": 2087.37, "word": " تأخدت", "probability": 0.69072265625}, {"start": 2087.37, "end": 2087.53, "word": " أي", "probability": 0.8681640625}, {"start": 2087.53, "end": 2088.03, "word": " sequence", "probability": 0.52685546875}, {"start": 2088.03, "end": 2088.35, "word": " XN", "probability": 0.515869140625}, {"start": 2088.35, "end": 2088.65, "word": " بتروح", "probability": 0.93798828125}, {"start": 2088.65, "end": 2088.93, "word": " للـ", "probability": 0.701171875}, {"start": 2088.93, "end": 2089.07, "word": " A", "probability": 0.85693359375}, {"start": 2089.07, "end": 2089.75, "word": " هيطلع", "probability": 0.780029296875}, {"start": 2089.75, "end": 2090.01, "word": " limit", "probability": 0.88916015625}, {"start": 2090.01, "end": 2090.21, "word": " F", "probability": 0.9013671875}, {"start": 2090.21, "end": 2090.37, "word": " of", "probability": 0.9169921875}, {"start": 2090.37, "end": 2090.73, "word": " XN", "probability": 0.89599609375}, {"start": 2090.73, "end": 2090.87, "word": " مش", "probability": 0.10577392578125}, {"start": 2090.87, "end": 2091.43, "word": " بيروح", "probability": 0.868896484375}, {"start": 2091.43, "end": 2092.23, "word": " بساوي", "probability": 0.916748046875}, {"start": 2092.23, "end": 2092.59, "word": " لL", "probability": 0.4432373046875}, {"start": 2092.59, "end": 2094.13, "word": " ماشي", "probability": 0.7257486979166666}, {"start": 2094.13, "end": 2094.67, "word": " هذه", "probability": 0.53271484375}, {"start": 2094.67, "end": 2094.81, "word": " اللي", "probability": 0.9736328125}, {"start": 2094.81, "end": 2095.05, "word": " هي", "probability": 0.8828125}, {"start": 2095.05, "end": 2095.83, "word": " النظرية", "probability": 0.962646484375}], "temperature": 1.0}, {"id": 89, "seek": 212296, "start": 2097.22, "end": 2122.96, "text": "بناء على هذه النظرية كنا نقول انه لو وجيت two sequences على الأقل ايكون بروح للـA لكن بروح لـLimits مختلفات او واحدة من Limits does not exist بكفالك ان الـLimit هذه اشمالها does not exist واضح؟ الان اذا بدي اعتمد على هذه", "tokens": [3555, 1863, 16606, 15844, 29538, 28239, 19913, 2288, 10632, 9122, 8315, 8717, 39648, 16472, 3224, 45164, 49610, 36081, 732, 22978, 15844, 16247, 4587, 1211, 1975, 1829, 30544, 4724, 32887, 5016, 24976, 39184, 32, 44381, 4724, 32887, 5016, 5296, 39184, 43, 332, 1208, 3714, 46456, 46538, 9307, 1975, 2407, 36764, 24401, 3660, 9154, 16406, 1208, 775, 406, 2514, 4724, 4117, 5172, 6027, 4117, 16472, 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2101.96, "word": " وجيت", "probability": 0.408935546875}, {"start": 2101.96, "end": 2102.96, "word": " two", "probability": 0.6396484375}, {"start": 2102.96, "end": 2104.18, "word": " sequences", "probability": 0.86669921875}, {"start": 2104.18, "end": 2104.8, "word": " على", "probability": 0.5859375}, {"start": 2104.8, "end": 2105.4, "word": " الأقل", "probability": 0.9558919270833334}, {"start": 2105.4, "end": 2106.0, "word": " ايكون", "probability": 0.66943359375}, {"start": 2106.0, "end": 2106.52, "word": " بروح", "probability": 0.9000651041666666}, {"start": 2106.52, "end": 2107.18, "word": " للـA", "probability": 0.377685546875}, {"start": 2107.18, "end": 2108.14, "word": " لكن", "probability": 0.76318359375}, {"start": 2108.14, "end": 2108.78, "word": " بروح", "probability": 0.9933268229166666}, {"start": 2108.78, "end": 2109.64, "word": " لـLimits", "probability": 0.585595703125}, {"start": 2109.64, "end": 2111.0, "word": " مختلفات", "probability": 0.837890625}, {"start": 2111.0, "end": 2112.0, "word": " او", "probability": 0.7081298828125}, {"start": 2112.0, "end": 2112.4, "word": " واحدة", "probability": 0.9772135416666666}, {"start": 2112.4, "end": 2112.58, "word": " من", "probability": 0.9912109375}, {"start": 2112.58, "end": 2113.06, "word": " Limits", "probability": 0.612548828125}, {"start": 2113.06, "end": 2113.5, "word": " does", "probability": 0.1541748046875}, {"start": 2113.5, "end": 2113.84, "word": " not", "probability": 0.96484375}, {"start": 2113.84, "end": 2114.4, "word": " exist", "probability": 0.96240234375}, {"start": 2114.4, "end": 2115.76, "word": " بكفالك", "probability": 0.744921875}, {"start": 2115.76, "end": 2116.0, "word": " ان", "probability": 0.8779296875}, {"start": 2116.0, "end": 2116.44, "word": " الـLimit", "probability": 0.6369140625}, {"start": 2116.44, "end": 2116.66, "word": " هذه", "probability": 0.392822265625}, {"start": 2116.66, "end": 2117.4, "word": " اشمالها", "probability": 0.8484375}, {"start": 2117.4, "end": 2118.08, "word": " does", "probability": 0.73583984375}, {"start": 2118.08, "end": 2118.6, "word": " not", "probability": 0.9638671875}, {"start": 2118.6, "end": 2119.42, "word": " exist", "probability": 0.9697265625}, {"start": 2119.42, "end": 2120.68, "word": " واضح؟", "probability": 0.7655029296875}, {"start": 2120.68, "end": 2121.16, "word": " الان", "probability": 0.657470703125}, {"start": 2121.16, "end": 2121.46, "word": " اذا", "probability": 0.827880859375}, {"start": 2121.46, "end": 2121.72, "word": " بدي", "probability": 0.5670166015625}, {"start": 2121.72, "end": 2122.16, "word": " اعتمد", "probability": 0.96630859375}, {"start": 2122.16, "end": 2122.4, "word": " على", "probability": 0.8388671875}, {"start": 2122.4, "end": 2122.96, "word": " هذه", "probability": 0.87890625}], "temperature": 1.0}, {"id": 90, "seek": 215296, "start": 2123.57, "end": 2152.97, "text": "في إثبات إنه limit cosine واحد على X does not exist أكيد كلكم جال take the sequences أو the two sequences X and بتساوي واحد على اتنين and by and Y and بتساوي واحد على اتنين and زائد واحد في by", "tokens": [41185, 11933, 12984, 3555, 9307, 36145, 3224, 4948, 23565, 36764, 24401, 15844, 1783, 775, 406, 2514, 5551, 4117, 25708, 28242, 24793, 10874, 6027, 747, 264, 22978, 34051, 264, 732, 22978, 1783, 293, 39894, 3794, 995, 45865, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 293, 538, 293, 398, 293, 39894, 3794, 995, 45865, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 293, 30767, 16373, 3215, 36764, 24401, 8978, 538], "avg_logprob": -0.2734375030678861, "compression_ratio": 1.6242424242424243, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 2123.57, "end": 2123.89, "word": "في", "probability": 0.67236328125}, {"start": 2123.89, "end": 2124.71, "word": " إثبات", "probability": 0.86346435546875}, {"start": 2124.71, "end": 2125.17, "word": " إنه", "probability": 0.4854736328125}, {"start": 2125.17, "end": 2125.75, "word": " limit", "probability": 0.69482421875}, {"start": 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"word": " by", "probability": 0.4033203125}], "temperature": 1.0}, {"id": 91, "seek": 218087, "start": 2153.65, "end": 2180.87, "text": "مظبوط أكيد قلته هيك where x and goes to zero and y and goes to zero but cosine واحد على ايه؟ cosine واحد على x and اللي هو بتساوي او goes to واحد and cosine", "tokens": [2304, 19913, 3555, 2407, 9566, 5551, 4117, 25708, 12174, 1211, 47395, 39896, 4117, 689, 2031, 293, 1709, 281, 4018, 293, 288, 293, 1709, 281, 4018, 457, 23565, 36764, 24401, 15844, 1975, 1829, 3224, 22807, 23565, 36764, 24401, 15844, 2031, 293, 13672, 1829, 31439, 39894, 3794, 995, 45865, 1975, 2407, 1709, 281, 36764, 24401, 293, 23565], "avg_logprob": -0.31277902690427645, "compression_ratio": 1.4857142857142858, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 2153.65, "end": 2154.37, "word": "مظبوط", "probability": 0.59599609375}, {"start": 2154.37, "end": 2155.45, "word": " أكيد", "probability": 0.7209065755208334}, {"start": 2155.45, "end": 2155.79, "word": " قلته", 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0.97607421875}, {"start": 2164.75, "end": 2165.29, "word": " zero", "probability": 0.89794921875}, {"start": 2165.29, "end": 2166.49, "word": " but", "probability": 0.84619140625}, {"start": 2166.49, "end": 2168.15, "word": " cosine", "probability": 0.58251953125}, {"start": 2168.15, "end": 2169.75, "word": " واحد", "probability": 0.897216796875}, {"start": 2169.75, "end": 2170.13, "word": " على", "probability": 0.69140625}, {"start": 2170.13, "end": 2170.81, "word": " ايه؟", "probability": 0.572601318359375}, {"start": 2170.81, "end": 2171.39, "word": " cosine", "probability": 0.72607421875}, {"start": 2171.39, "end": 2172.11, "word": " واحد", "probability": 0.987060546875}, {"start": 2172.11, "end": 2172.37, "word": " على", "probability": 0.84033203125}, {"start": 2172.37, "end": 2172.71, "word": " x", "probability": 0.9091796875}, {"start": 2172.71, "end": 2173.13, "word": " and", "probability": 0.92822265625}, {"start": 2173.13, "end": 2174.01, "word": " اللي", "probability": 0.849365234375}, {"start": 2174.01, "end": 2174.35, "word": " هو", "probability": 0.958984375}, {"start": 2174.35, "end": 2176.11, "word": " بتساوي", "probability": 0.94677734375}, {"start": 2176.11, "end": 2176.69, "word": " او", "probability": 0.845458984375}, {"start": 2176.69, "end": 2177.19, "word": " goes", "probability": 0.92138671875}, {"start": 2177.19, "end": 2177.43, "word": " to", "probability": 0.94873046875}, {"start": 2177.43, "end": 2178.01, "word": " واحد", "probability": 0.982177734375}, {"start": 2178.01, "end": 2179.15, "word": " and", "probability": 0.95947265625}, {"start": 2179.15, "end": 2180.87, "word": " cosine", "probability": 0.8232421875}], "temperature": 1.0}, {"id": 92, "seek": 220146, "start": 2181.92, "end": 2201.46, "text": "1 على I and goes to ناقص واحد اوضحها اوضحها اذكركم الان هذا بيصير cosine مين اتنين and by اتنين and by ايش مالها واحد", "tokens": [16, 15844, 286, 293, 1709, 281, 8717, 995, 4587, 9381, 36764, 24401, 1975, 2407, 11242, 5016, 11296, 1975, 2407, 11242, 5016, 11296, 1975, 8848, 37983, 24793, 2423, 7649, 23758, 4724, 1829, 9381, 13546, 23565, 3714, 9957, 1975, 2655, 1863, 9957, 293, 538, 1975, 2655, 1863, 9957, 293, 538, 1975, 1829, 8592, 3714, 6027, 11296, 36764, 24401], "avg_logprob": -0.28207236842105265, "compression_ratio": 1.3969465648854962, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2181.92, "end": 2182.42, "word": "1", "probability": 0.2349853515625}, {"start": 2182.42, "end": 2182.72, "word": " على", "probability": 0.1448974609375}, {"start": 2182.72, "end": 2183.1, "word": " I", "probability": 0.58544921875}, {"start": 2183.1, "end": 2183.48, "word": " and", "probability": 0.69189453125}, {"start": 2183.48, "end": 2184.98, "word": " goes", "probability": 0.6201171875}, {"start": 2184.98, "end": 2185.78, "word": " to", "probability": 0.97265625}, {"start": 2185.78, "end": 2186.52, "word": " ناقص", "probability": 0.6875}, {"start": 2186.52, "end": 2187.02, "word": " واحد", "probability": 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بيعطينا F X1 ≤ F X2 أو بمعنى آخر F X1 هذه هي الcontraposition ل F X1 ≤ F X2 بيعطينا X1 ≤ X2 وهذا يعني ال F أشمالها is one to one يعني الآن أنا بوضح", "tokens": [28814, 8848, 1863, 4032, 46958, 5016, 36145, 1783, 16, 672, 231, 97, 1783, 17, 4724, 40228, 9566, 1829, 8315, 479, 1783, 16, 672, 231, 97, 479, 1783, 17, 34051, 4724, 2304, 3615, 1863, 7578, 19753, 34740, 479, 1783, 16, 29538, 39896, 2423, 9000, 4007, 5830, 5296, 479, 1783, 16, 672, 231, 97, 479, 1783, 17, 4724, 40228, 9566, 1829, 8315, 1783, 16, 672, 231, 97, 1783, 17, 37037, 15730, 37495, 22653, 2423, 479, 5551, 8592, 2304, 6027, 11296, 307, 472, 281, 472, 37495, 22653, 6024, 48506, 41850, 4724, 2407, 11242, 5016], "avg_logprob": -0.30689538885717804, "compression_ratio": 1.521472392638037, "no_speech_prob": 1.1265277862548828e-05, "words": [{"start": 2509.85, "end": 2510.37, "word": "إذن", "probability": 0.5439453125}, {"start": 2510.37, "end": 2511.17, "word": " واضح", "probability": 0.94482421875}, {"start": 2511.17, 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