{"segments": [{"id": 1, "seek": 2780, "start": 19.74, "end": 27.8, "text": "بسم الله الرحمن الرحيم هنواصل اليوم تغطية section 5-3", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 8032, 1863, 2407, 33546, 1211, 45595, 20498, 6055, 17082, 9566, 10632, 3541, 1025, 12, 18], "avg_logprob": -0.127265625, "compression_ratio": 1.1, "no_speech_prob": 0.0, "words": [{"start": 19.740000000000002, "end": 21.14, "word": "بسم", "probability": 0.852783203125}, {"start": 21.14, "end": 21.26, "word": " الله", "probability": 0.97802734375}, {"start": 21.26, "end": 21.6, "word": " الرحمن", "probability": 0.9645182291666666}, {"start": 21.6, "end": 22.28, "word": " الرحيم", "probability": 0.99072265625}, {"start": 22.28, "end": 24.04, "word": " هنواصل", "probability": 0.9375}, {"start": 24.04, "end": 25.16, "word": " اليوم", "probability": 0.961181640625}, {"start": 25.16, "end": 26.26, "word": " تغطية", "probability": 0.9322509765625}, {"start": 26.26, "end": 27.02, "word": " section", "probability": 0.6435546875}, {"start": 27.02, "end": 27.32, "word": " 5", "probability": 0.69384765625}, {"start": 27.32, "end": 27.8, "word": "-3", "probability": 0.553985595703125}], "temperature": 1.0}, {"id": 2, "seek": 5767, "start": 28.89, "end": 57.67, "text": "اللي بتعلق ب .. موضوع ال continuous functions على ال intervals على الفترات احنا بدينا ال .. بدينا الموضوع هذا المحاضرة السابقة و كان اخر نظرية أخدناها اللي هي ال maximum .. maximum minimum theorem نعود نستذكر بس نظرية الأخيرة هذه ال maximum", "tokens": [6027, 20292, 39894, 30241, 4587, 4724, 4386, 3714, 2407, 11242, 45367, 2423, 10957, 6828, 15844, 2423, 26651, 15844, 27188, 2655, 2288, 9307, 1975, 5016, 8315, 47525, 1829, 8315, 2423, 4386, 47525, 1829, 8315, 9673, 2407, 11242, 45367, 23758, 9673, 5016, 46958, 25720, 21136, 16758, 28671, 4032, 25961, 1975, 34740, 8717, 19913, 2288, 10632, 5551, 9778, 3215, 8315, 11296, 13672, 1829, 39896, 2423, 6674, 4386, 6674, 7285, 20904, 8717, 3615, 23328, 8717, 14851, 8848, 37983, 4724, 3794, 8717, 19913, 2288, 10632, 16247, 9778, 48923, 29538, 2423, 6674], "avg_logprob": -0.1657686798736967, "compression_ratio": 1.7242990654205608, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 28.89, "end": 29.27, "word": "اللي", "probability": 0.72802734375}, {"start": 29.27, "end": 30.03, "word": " بتعلق", "probability": 0.9168294270833334}, {"start": 30.03, "end": 30.29, "word": " ب", "probability": 0.88427734375}, {"start": 30.29, "end": 30.85, "word": " ..", "probability": 0.396728515625}, {"start": 30.85, "end": 33.25, "word": " موضوع", "probability": 0.82061767578125}, {"start": 33.25, "end": 33.39, "word": " ال", "probability": 0.83203125}, {"start": 33.39, "end": 33.79, "word": " continuous", "probability": 0.94775390625}, {"start": 33.79, "end": 34.55, "word": " functions", "probability": 0.87646484375}, {"start": 34.55, "end": 34.85, "word": " على", "probability": 0.80908203125}, {"start": 34.85, "end": 35.01, "word": " ال", "probability": 0.97900390625}, {"start": 35.01, "end": 35.51, "word": " intervals", "probability": 0.9326171875}, {"start": 35.51, "end": 35.77, "word": " على", "probability": 0.677734375}, {"start": 35.77, "end": 36.43, "word": " الفترات", "probability": 0.9854736328125}, {"start": 36.43, "end": 38.03, "word": " احنا", "probability": 0.92041015625}, {"start": 38.03, "end": 38.51, "word": " بدينا", "probability": 0.7688802083333334}, {"start": 38.51, "end": 38.89, "word": " ال", "probability": 0.6865234375}, {"start": 38.89, "end": 40.59, "word": " ..", "probability": 0.93115234375}, {"start": 40.59, "end": 41.21, "word": " بدينا", "probability": 0.90673828125}, {"start": 41.21, "end": 41.73, "word": " الموضوع", "probability": 0.9954833984375}, {"start": 41.73, "end": 42.03, "word": " هذا", "probability": 0.8828125}, {"start": 42.03, "end": 42.59, "word": " المحاضرة", "probability": 0.860107421875}, {"start": 42.59, "end": 43.21, "word": " السابقة", "probability": 0.9832356770833334}, {"start": 43.21, "end": 44.49, "word": " و", "probability": 0.97119140625}, {"start": 44.49, "end": 45.23, "word": " كان", "probability": 0.61962890625}, {"start": 45.23, "end": 46.19, "word": " اخر", "probability": 0.878662109375}, {"start": 46.19, "end": 46.69, "word": " نظرية", "probability": 0.986328125}, {"start": 46.69, "end": 47.53, "word": " أخدناها", "probability": 0.86181640625}, {"start": 47.53, "end": 48.53, "word": " اللي", "probability": 0.9345703125}, {"start": 48.53, "end": 48.83, "word": " هي", "probability": 0.92919921875}, {"start": 48.83, "end": 49.21, "word": " ال", "probability": 0.50390625}, {"start": 49.21, "end": 49.65, "word": " maximum", "probability": 0.9736328125}, {"start": 49.65, "end": 49.97, "word": " ..", "probability": 0.5078125}, {"start": 49.97, "end": 50.35, "word": " maximum", "probability": 0.96533203125}, {"start": 50.35, "end": 50.89, "word": " minimum", "probability": 0.8603515625}, {"start": 50.89, "end": 51.57, "word": " theorem", "probability": 0.9326171875}, {"start": 51.57, "end": 53.03, "word": " نعود", "probability": 0.8806966145833334}, {"start": 53.03, "end": 53.73, "word": " نستذكر", "probability": 0.89208984375}, {"start": 53.73, "end": 54.05, "word": " بس", "probability": 0.970703125}, {"start": 54.05, "end": 54.53, "word": " نظرية", "probability": 0.8900146484375}, {"start": 54.53, "end": 54.97, "word": " الأخيرة", "probability": 0.9181315104166666}, {"start": 54.97, "end": 55.37, "word": " هذه", "probability": 0.5869140625}, {"start": 55.37, "end": 56.87, "word": " ال", "probability": 0.474365234375}, {"start": 56.87, "end": 57.67, "word": " maximum", "probability": 0.96484375}], "temperature": 1.0}, {"id": 3, "seek": 10029, "start": 72.09, "end": 100.29, "text": "ال maximum minimum minimum theorem يقول إذا كانت if I is a closed and bounded interval is closed and bounded", "tokens": [6027, 6674, 7285, 7285, 20904, 7251, 39648, 11933, 15730, 25961, 2655, 498, 286, 307, 257, 5395, 293, 37498, 15035, 307, 5395, 293, 37498], "avg_logprob": -0.2622070374588172, "compression_ratio": 1.2346938775510203, "no_speech_prob": 0.0, "words": [{"start": 72.09, "end": 72.45, "word": "ال", "probability": 0.7060546875}, {"start": 72.45, "end": 72.97, "word": " maximum", "probability": 0.7080078125}, {"start": 72.97, "end": 74.05, "word": " minimum", "probability": 0.2022705078125}, {"start": 74.05, "end": 81.41, "word": " minimum", "probability": 0.82080078125}, {"start": 81.41, "end": 83.77, "word": " theorem", "probability": 0.81201171875}, {"start": 83.77, "end": 88.05, "word": " يقول", "probability": 0.6300048828125}, {"start": 88.05, "end": 88.35, "word": " إذا", "probability": 0.7822265625}, {"start": 88.35, "end": 88.97, "word": " كانت", "probability": 0.952880859375}, {"start": 88.97, "end": 89.37, "word": " if", "probability": 0.859375}, {"start": 89.37, "end": 91.11, "word": " I", "probability": 0.95849609375}, {"start": 91.11, "end": 91.73, "word": " is", "probability": 0.951171875}, {"start": 91.73, "end": 91.95, "word": " a", "probability": 0.58349609375}, {"start": 91.95, "end": 92.41, "word": " closed", "probability": 0.91748046875}, {"start": 92.41, "end": 92.99, "word": " and", "probability": 0.9658203125}, {"start": 92.99, "end": 93.63, "word": " bounded", "probability": 0.955078125}, {"start": 93.63, "end": 94.29, "word": " interval", "probability": 0.92578125}, {"start": 94.29, "end": 96.05, "word": " is", "probability": 0.78662109375}, {"start": 96.05, "end": 97.47, "word": " closed", "probability": 0.9208984375}, {"start": 97.47, "end": 99.71, "word": " and", "probability": 0.96728515625}, {"start": 99.71, "end": 100.29, "word": " bounded", "probability": 0.94140625}], "temperature": 1.0}, {"id": 4, "seek": 12247, "start": 106.35, "end": 122.47, "text": "وإذا كانت العملية من I إلى R مستمرة على الفترة I", "tokens": [2407, 28814, 15730, 25961, 2655, 18863, 42213, 10632, 9154, 286, 30731, 497, 3714, 14851, 29973, 3660, 15844, 27188, 2655, 25720, 286], "avg_logprob": -0.5735085254365747, "compression_ratio": 1.1369863013698631, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 106.35, "end": 107.75, "word": "وإذا", "probability": 0.5144449869791666}, {"start": 107.75, "end": 109.15, "word": " كانت", "probability": 0.674560546875}, {"start": 109.15, "end": 109.41, "word": " العملية", "probability": 0.4764607747395833}, {"start": 109.41, "end": 109.77, "word": " من", "probability": 0.91259765625}, {"start": 109.77, "end": 110.67, "word": " I", "probability": 0.84765625}, {"start": 110.67, "end": 112.47, "word": " إلى", "probability": 0.355712890625}, {"start": 112.47, "end": 113.27, "word": " R", "probability": 0.9052734375}, {"start": 113.27, "end": 116.73, "word": " مستمرة", "probability": 0.599822998046875}, {"start": 116.73, "end": 121.27, "word": " على", "probability": 0.6630859375}, {"start": 121.27, "end": 121.97, "word": " الفترة", "probability": 0.89111328125}, {"start": 121.97, "end": 122.47, "word": " I", "probability": 0.98388671875}], "temperature": 1.0}, {"id": 5, "seek": 14207, "start": 127.59, "end": 142.07, "text": "there exist x lower star و x upper star عناصر في I بحيث انه", "tokens": [15456, 2514, 2031, 3126, 3543, 4032, 2031, 6597, 3543, 18871, 33546, 2288, 8978, 286, 4724, 5016, 1829, 12984, 16472, 3224], "avg_logprob": -0.21168155329568045, "compression_ratio": 0.961038961038961, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 127.59, "end": 128.25, "word": "there", "probability": 0.2763671875}, {"start": 128.25, "end": 128.91, "word": " exist", "probability": 0.85791015625}, {"start": 128.91, "end": 131.55, "word": " x", "probability": 0.79833984375}, {"start": 131.55, "end": 134.23, "word": " lower", "probability": 0.7490234375}, {"start": 134.23, "end": 134.87, "word": " star", "probability": 0.935546875}, {"start": 134.87, "end": 136.33, "word": " و", "probability": 0.94580078125}, {"start": 136.33, "end": 136.77, "word": " x", "probability": 0.7646484375}, {"start": 136.77, "end": 137.25, "word": " upper", "probability": 0.82958984375}, {"start": 137.25, "end": 138.11, "word": " star", "probability": 0.95947265625}, {"start": 138.11, "end": 139.83, "word": " عناصر", "probability": 0.9578450520833334}, {"start": 139.83, "end": 140.15, "word": " في", "probability": 0.93994140625}, {"start": 140.15, "end": 140.69, "word": " I", "probability": 0.884765625}, {"start": 140.69, "end": 141.37, "word": " بحيث", "probability": 0.9150390625}, {"start": 141.37, "end": 142.07, "word": " انه", "probability": 0.8193359375}], "temperature": 1.0}, {"id": 6, "seek": 17293, "start": 144.55, "end": 172.93, "text": "f of x lower star بساوي ال minimum ل range ال function f and f of x super star بساوي ال supremum ل range ال function f وبالتالي هذه بسميها ال absolute maximum", "tokens": [69, 295, 2031, 3126, 3543, 4724, 3794, 995, 45865, 2423, 7285, 5296, 3613, 2423, 2445, 283, 293, 283, 295, 2031, 1687, 3543, 4724, 3794, 995, 45865, 2423, 23710, 449, 5296, 3613, 2423, 2445, 283, 46599, 6027, 2655, 6027, 1829, 29538, 4724, 38251, 1829, 11296, 2423, 8236, 6674], "avg_logprob": -0.25895181484520435, "compression_ratio": 1.5634920634920635, "no_speech_prob": 0.0, "words": [{"start": 144.55, "end": 145.69, "word": "f", "probability": 0.135498046875}, {"start": 145.69, "end": 146.09, "word": " of", "probability": 0.525390625}, {"start": 146.09, "end": 146.49, "word": " x", "probability": 0.89599609375}, {"start": 146.49, "end": 146.89, "word": " lower", "probability": 0.59521484375}, {"start": 146.89, "end": 147.63, "word": " star", "probability": 0.8662109375}, {"start": 147.63, "end": 149.41, "word": " بساوي", "probability": 0.643524169921875}, {"start": 149.41, "end": 149.55, "word": " ال", "probability": 0.771484375}, {"start": 149.55, "end": 150.09, "word": " minimum", "probability": 0.177490234375}, {"start": 150.09, "end": 151.63, "word": " ل", "probability": 0.876953125}, {"start": 151.63, "end": 152.19, "word": " range", "probability": 0.7939453125}, {"start": 152.19, "end": 152.55, "word": " ال", "probability": 0.650390625}, {"start": 152.55, "end": 153.01, "word": " function", "probability": 0.91650390625}, {"start": 153.01, "end": 153.53, "word": " f", "probability": 0.8388671875}, {"start": 153.53, "end": 154.35, "word": " and", "probability": 0.75048828125}, {"start": 154.35, "end": 156.01, "word": " f", "probability": 0.84375}, {"start": 156.01, "end": 156.53, "word": " of", "probability": 0.9794921875}, {"start": 156.53, "end": 157.11, "word": " x", "probability": 0.98779296875}, {"start": 157.11, "end": 157.99, "word": " super", "probability": 0.51953125}, {"start": 157.99, "end": 158.59, "word": " star", "probability": 0.88330078125}, {"start": 158.59, "end": 160.45, "word": " بساوي", "probability": 0.965087890625}, {"start": 160.45, "end": 160.65, "word": " ال", "probability": 0.6630859375}, {"start": 160.65, "end": 161.45, "word": " supremum", "probability": 0.872802734375}, {"start": 161.45, "end": 161.83, "word": " ل", "probability": 0.97412109375}, {"start": 161.83, "end": 163.39, "word": " range", "probability": 0.89599609375}, {"start": 163.39, "end": 163.59, "word": " ال", "probability": 0.921875}, {"start": 163.59, "end": 163.95, "word": " function", "probability": 0.96533203125}, {"start": 163.95, "end": 164.55, "word": " f", "probability": 0.9169921875}, {"start": 164.55, "end": 166.57, "word": " وبالتالي", "probability": 0.89697265625}, {"start": 166.57, "end": 167.13, "word": " هذه", "probability": 0.54443359375}, {"start": 167.13, "end": 168.07, "word": " بسميها", "probability": 0.87060546875}, {"start": 168.07, "end": 169.41, "word": " ال", "probability": 0.477294921875}, {"start": 169.41, "end": 170.25, "word": " absolute", "probability": 0.9541015625}, {"start": 170.25, "end": 172.93, "word": " maximum", "probability": 0.9658203125}], "temperature": 1.0}, {"id": 7, "seek": 20258, "start": 174.54, "end": 202.58, "text": "value و القيمة هتبسميها ال absolute minimum value لل function f على الفترة I طبعا okay okay في اليوم هناخد نظريات برضه خاصة باتصال الدوال على الفترات", "tokens": [29155, 4032, 25062, 32640, 3660, 8032, 2655, 3555, 38251, 1829, 11296, 2423, 8236, 7285, 2158, 24976, 2445, 283, 15844, 27188, 2655, 25720, 286, 23032, 3555, 3615, 995, 1392, 1392, 8978, 45595, 20498, 8032, 1863, 47283, 3215, 8717, 19913, 16572, 9307, 4724, 43042, 3224, 16490, 33546, 3660, 4724, 9307, 9381, 6027, 32748, 2407, 6027, 15844, 27188, 2655, 2288, 9307], "avg_logprob": -0.2436440703222307, "compression_ratio": 1.4135802469135803, "no_speech_prob": 0.0, "words": [{"start": 174.54, "end": 175.24, "word": "value", "probability": 0.308837890625}, {"start": 175.24, "end": 177.12, "word": " و", "probability": 0.171875}, {"start": 177.12, "end": 178.38, "word": " القيمة", "probability": 0.68701171875}, {"start": 178.38, "end": 179.32, "word": " هتبسميها", "probability": 0.7371012369791666}, {"start": 179.32, "end": 179.44, "word": " ال", "probability": 0.455810546875}, {"start": 179.44, "end": 180.02, "word": " absolute", "probability": 0.68310546875}, {"start": 180.02, "end": 183.82, "word": " minimum", "probability": 0.8369140625}, {"start": 183.82, "end": 186.9, "word": " value", "probability": 0.96826171875}, {"start": 186.9, "end": 187.9, "word": " لل", "probability": 0.368408203125}, {"start": 187.9, "end": 188.3, "word": " function", "probability": 0.8046875}, {"start": 188.3, "end": 188.78, "word": " f", "probability": 0.55078125}, {"start": 188.78, "end": 190.16, "word": " على", "probability": 0.81298828125}, {"start": 190.16, "end": 190.72, "word": " الفترة", "probability": 0.9886067708333334}, {"start": 190.72, "end": 191.0, "word": " I", "probability": 0.56396484375}, {"start": 191.0, "end": 191.44, "word": " طبعا", "probability": 0.9703369140625}, {"start": 191.44, "end": 191.94, "word": " okay", "probability": 0.56591796875}, {"start": 191.94, "end": 194.48, "word": " okay", "probability": 0.442138671875}, {"start": 194.48, "end": 195.56, "word": " في", "probability": 0.92724609375}, {"start": 195.56, "end": 195.92, "word": " اليوم", "probability": 0.97900390625}, {"start": 195.92, "end": 196.48, "word": " هناخد", "probability": 0.93798828125}, {"start": 196.48, "end": 197.36, "word": " نظريات", "probability": 0.9583740234375}, {"start": 197.36, "end": 198.22, "word": " برضه", "probability": 0.9391276041666666}, {"start": 198.22, "end": 198.96, "word": " خاصة", "probability": 0.9814453125}, {"start": 198.96, "end": 200.34, "word": " باتصال", "probability": 0.9244384765625}, {"start": 200.34, "end": 200.96, "word": " الدوال", "probability": 0.7677408854166666}, {"start": 200.96, "end": 201.66, "word": " على", "probability": 0.91259765625}, {"start": 201.66, "end": 202.58, "word": " الفترات", "probability": 0.9879150390625}], "temperature": 1.0}, {"id": 8, "seek": 22679, "start": 203.81, "end": 226.79, "text": "فأول نظرية هتكون location location of roots theorem نظرية تحديد ال roots فنفس الحاجة let", "tokens": [5172, 10721, 12610, 8717, 19913, 2288, 10632, 8032, 2655, 30544, 4914, 4914, 295, 10669, 20904, 8717, 19913, 2288, 10632, 6055, 5016, 16254, 3215, 2423, 10669, 6156, 1863, 36178, 21542, 26108, 3660, 718], "avg_logprob": -0.11191998106060606, "compression_ratio": 1.180952380952381, "no_speech_prob": 0.0, "words": [{"start": 203.81, "end": 204.45, "word": "فأول", "probability": 0.83740234375}, {"start": 204.45, "end": 204.97, "word": " نظرية", "probability": 0.9788818359375}, {"start": 204.97, "end": 205.73, "word": " هتكون", "probability": 0.9278971354166666}, {"start": 205.73, "end": 206.97, "word": " location", "probability": 0.83740234375}, {"start": 206.97, "end": 210.09, "word": " location", "probability": 0.57177734375}, {"start": 210.09, "end": 210.77, "word": " of", "probability": 0.98046875}, {"start": 210.77, "end": 211.49, "word": " roots", "probability": 0.80126953125}, {"start": 211.49, "end": 216.97, "word": " theorem", "probability": 0.5595703125}, {"start": 216.97, "end": 219.97, "word": " نظرية", "probability": 0.9073486328125}, {"start": 219.97, "end": 220.83, "word": " تحديد", "probability": 0.970703125}, {"start": 220.83, "end": 221.03, "word": " ال", "probability": 0.970703125}, {"start": 221.03, "end": 221.91, "word": " roots", "probability": 0.828125}, {"start": 221.91, "end": 225.57, "word": " فنفس", "probability": 0.9397786458333334}, {"start": 225.57, "end": 226.31, "word": " الحاجة", "probability": 0.9928385416666666}, {"start": 226.31, "end": 226.79, "word": " let", "probability": 0.8681640625}], "temperature": 1.0}, {"id": 9, "seek": 25539, "start": 229.75, "end": 255.39, "text": "I be closed and bounded interval على الصورة AB and let f be function from I to R be continuous function على الفترة المغلقة والمحدودة I if", "tokens": [40, 312, 5395, 293, 37498, 15035, 15844, 31767, 13063, 3660, 13838, 293, 718, 283, 312, 2445, 490, 286, 281, 497, 312, 10957, 2445, 15844, 27188, 2655, 25720, 9673, 17082, 1211, 28671, 16070, 2304, 24401, 23328, 3660, 286, 498], "avg_logprob": -0.22015224588222992, "compression_ratio": 1.2481751824817517, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 229.75, "end": 230.33, "word": "I", "probability": 0.284423828125}, {"start": 230.33, "end": 230.75, "word": " be", "probability": 0.26171875}, {"start": 230.75, "end": 231.37, "word": " closed", "probability": 0.83740234375}, {"start": 231.37, "end": 231.89, "word": " and", "probability": 0.947265625}, {"start": 231.89, "end": 232.47, "word": " bounded", "probability": 0.9501953125}, {"start": 232.47, "end": 233.47, "word": " interval", "probability": 0.94775390625}, {"start": 233.47, "end": 235.19, "word": " على", "probability": 0.783203125}, {"start": 235.19, "end": 235.89, "word": " الصورة", "probability": 0.9752604166666666}, {"start": 235.89, "end": 236.27, "word": " AB", "probability": 0.396728515625}, {"start": 236.27, "end": 237.89, "word": " and", "probability": 0.7900390625}, {"start": 237.89, "end": 238.41, "word": " let", "probability": 0.919921875}, {"start": 238.41, "end": 240.21, "word": " f", "probability": 0.264404296875}, {"start": 240.21, "end": 240.67, "word": " be", "probability": 0.572265625}, {"start": 240.67, "end": 241.87, "word": " function", "probability": 0.81591796875}, {"start": 241.87, "end": 242.43, "word": " from", "probability": 0.904296875}, {"start": 242.43, "end": 242.97, "word": " I", "probability": 0.9345703125}, {"start": 242.97, "end": 243.33, "word": " to", "probability": 0.9638671875}, {"start": 243.33, "end": 243.85, "word": " R", "probability": 0.986328125}, {"start": 243.85, "end": 245.17, "word": " be", "probability": 0.72998046875}, {"start": 245.17, "end": 246.19, "word": " continuous", "probability": 0.873046875}, {"start": 246.19, "end": 249.79, "word": " function", "probability": 0.83349609375}, {"start": 249.79, "end": 250.31, "word": " على", "probability": 0.91357421875}, {"start": 250.31, "end": 251.11, "word": " الفترة", "probability": 0.99267578125}, {"start": 251.11, "end": 251.93, "word": " المغلقة", "probability": 0.950439453125}, {"start": 251.93, "end": 252.81, "word": " والمحدودة", "probability": 0.92451171875}, {"start": 252.81, "end": 253.09, "word": " I", "probability": 0.9677734375}, {"start": 253.09, "end": 255.39, "word": " if", "probability": 0.7353515625}], "temperature": 1.0}, {"id": 10, "seek": 28335, "start": 257.63, "end": 283.35, "text": "لو كان f of a أصغر من صفر أصغر من f of b او f of b أصغر من صفر أصغر من f of a then there exist c ينتمي", "tokens": [1211, 2407, 25961, 283, 295, 257, 5551, 9381, 17082, 2288, 9154, 20328, 5172, 2288, 5551, 9381, 17082, 2288, 9154, 283, 295, 272, 1975, 2407, 283, 295, 272, 5551, 9381, 17082, 2288, 9154, 20328, 5172, 2288, 5551, 9381, 17082, 2288, 9154, 283, 295, 257, 550, 456, 2514, 269, 7251, 29399, 2304, 1829], "avg_logprob": -0.12334735892139949, "compression_ratio": 1.6179775280898876, "no_speech_prob": 0.0, "words": [{"start": 257.63, "end": 258.07, "word": "لو", "probability": 0.804443359375}, {"start": 258.07, "end": 258.61, "word": " كان", "probability": 0.9912109375}, {"start": 258.61, "end": 260.61, "word": " f", "probability": 0.4013671875}, {"start": 260.61, "end": 261.01, "word": " of", "probability": 0.56201171875}, {"start": 261.01, "end": 261.55, "word": " a", "probability": 0.94873046875}, {"start": 261.55, "end": 262.65, "word": " أصغر", "probability": 0.962158203125}, {"start": 262.65, "end": 262.83, "word": " من", "probability": 0.99658203125}, {"start": 262.83, "end": 263.39, "word": " صفر", "probability": 0.7685546875}, {"start": 263.39, "end": 264.73, "word": " أصغر", "probability": 0.9781494140625}, {"start": 264.73, "end": 264.97, "word": " من", "probability": 0.99609375}, {"start": 264.97, "end": 265.35, "word": " f", "probability": 0.91650390625}, {"start": 265.35, "end": 265.67, "word": " of", "probability": 0.9609375}, {"start": 265.67, "end": 266.05, "word": " b", "probability": 0.9443359375}, {"start": 266.05, "end": 266.79, "word": " او", "probability": 0.685546875}, {"start": 266.79, "end": 268.77, "word": " f", "probability": 0.65966796875}, {"start": 268.77, "end": 269.05, "word": " of", "probability": 0.9794921875}, {"start": 269.05, "end": 269.37, "word": " b", "probability": 0.97412109375}, {"start": 269.37, "end": 270.07, "word": " أصغر", "probability": 0.9912109375}, {"start": 270.07, "end": 270.27, "word": " من", "probability": 0.9970703125}, {"start": 270.27, "end": 270.81, "word": " صفر", "probability": 0.984375}, {"start": 270.81, "end": 271.39, "word": " أصغر", "probability": 0.9912109375}, {"start": 271.39, "end": 271.65, "word": " من", "probability": 0.99755859375}, {"start": 271.65, "end": 271.99, "word": " f", "probability": 0.95751953125}, {"start": 271.99, "end": 272.29, "word": " of", "probability": 0.98193359375}, {"start": 272.29, "end": 272.85, "word": " a", "probability": 0.9921875}, {"start": 272.85, "end": 278.61, "word": " then", "probability": 0.63525390625}, {"start": 278.61, "end": 279.23, "word": " there", "probability": 0.8486328125}, {"start": 279.23, "end": 279.91, "word": " exist", "probability": 0.580078125}, {"start": 279.91, "end": 282.25, "word": " c", "probability": 0.5615234375}, {"start": 282.25, "end": 283.35, "word": " ينتمي", "probability": 0.9656982421875}], "temperature": 1.0}, {"id": 11, "seek": 31327, "start": 284.56, "end": 313.28, "text": "للفترة المفتوحة من a إلى b بحيث أن f of c بيساوي سفر فالنظرية هذه ممكن أنلخصها بالرسمة التالية محاور الأحداثيات وممكن يكون في ending حاجة زي هذه", "tokens": [1211, 46538, 2655, 25720, 9673, 5172, 2655, 2407, 5016, 3660, 9154, 257, 30731, 272, 4724, 5016, 1829, 12984, 14739, 283, 295, 269, 4724, 1829, 3794, 995, 45865, 8608, 5172, 2288, 6156, 6027, 1863, 19913, 2288, 10632, 29538, 3714, 43020, 14739, 1211, 9778, 9381, 11296, 20666, 2288, 38251, 3660, 16712, 6027, 10632, 3714, 5016, 995, 13063, 16247, 24401, 5718, 104, 1829, 9307, 4032, 2304, 43020, 7251, 30544, 8978, 8121, 11331, 26108, 3660, 30767, 1829, 29538], "avg_logprob": -0.20135417024294536, "compression_ratio": 1.5182926829268293, "no_speech_prob": 0.0, "words": [{"start": 284.56, "end": 285.3, "word": "للفترة", "probability": 0.7266845703125}, {"start": 285.3, "end": 286.0, "word": " المفتوحة", "probability": 0.977783203125}, {"start": 286.0, "end": 286.28, "word": " من", "probability": 0.9443359375}, {"start": 286.28, "end": 286.66, "word": " a", "probability": 0.493408203125}, {"start": 286.66, "end": 286.94, "word": " إلى", "probability": 0.7294921875}, {"start": 286.94, "end": 287.4, "word": " b", "probability": 0.8857421875}, {"start": 287.4, "end": 288.98, "word": " بحيث", "probability": 0.9503173828125}, {"start": 288.98, "end": 289.3, "word": " أن", "probability": 0.45849609375}, {"start": 289.3, "end": 290.02, "word": " f", "probability": 0.6240234375}, {"start": 290.02, "end": 290.66, "word": " of", "probability": 0.7978515625}, {"start": 290.66, "end": 291.32, "word": " c", "probability": 0.87109375}, {"start": 291.32, "end": 293.04, "word": " بيساوي", "probability": 0.6989990234375}, {"start": 293.04, "end": 293.62, "word": " سفر", "probability": 0.8429361979166666}, {"start": 293.62, "end": 297.54, "word": " فالنظرية", "probability": 0.8054606119791666}, {"start": 297.54, "end": 297.8, "word": " هذه", "probability": 0.73486328125}, {"start": 297.8, "end": 298.28, "word": " ممكن", "probability": 0.976318359375}, {"start": 298.28, "end": 300.1, "word": " أنلخصها", "probability": 0.8384765625}, {"start": 300.1, "end": 301.3, "word": " بالرسمة", "probability": 0.8704833984375}, {"start": 301.3, "end": 303.44, "word": " التالية", "probability": 0.9933268229166666}, {"start": 303.44, "end": 308.1, "word": " محاور", "probability": 0.9329833984375}, {"start": 308.1, "end": 309.12, "word": " الأحداثيات", "probability": 0.8681640625}, {"start": 309.12, "end": 311.14, "word": " وممكن", "probability": 0.794921875}, {"start": 311.14, "end": 311.58, "word": " يكون", "probability": 0.972412109375}, {"start": 311.58, "end": 311.8, "word": " في", "probability": 0.354248046875}, {"start": 311.8, "end": 312.16, "word": " ending", "probability": 0.319091796875}, {"start": 312.16, "end": 312.7, "word": " حاجة", "probability": 0.9786783854166666}, {"start": 312.7, "end": 312.94, "word": " زي", "probability": 0.962890625}, {"start": 312.94, "end": 313.28, "word": " هذه", "probability": 0.94287109375}], "temperature": 1.0}, {"id": 12, "seek": 35145, "start": 322.65, "end": 351.45, "text": "فهي function هذه عبارة عن ال graph y بساوي f of x ال function هذه متصلة على الفترة المغلطة من a ل d وهي عندي f of a أصغر من سفر وهي عندي", "tokens": [5172, 3224, 1829, 2445, 29538, 6225, 3555, 9640, 3660, 18871, 2423, 4295, 288, 4724, 3794, 995, 45865, 283, 295, 2031, 2423, 2445, 29538, 44650, 36520, 3660, 15844, 27188, 2655, 25720, 9673, 17082, 1211, 9566, 3660, 9154, 257, 5296, 274, 37037, 1829, 18871, 16254, 283, 295, 257, 5551, 9381, 17082, 2288, 9154, 8608, 5172, 2288, 37037, 1829, 18871, 16254], "avg_logprob": -0.20286017302739418, "compression_ratio": 1.4857142857142858, "no_speech_prob": 0.0, "words": [{"start": 322.65, "end": 323.35, "word": "فهي", "probability": 0.552490234375}, {"start": 323.35, "end": 323.87, "word": " function", "probability": 0.475341796875}, {"start": 323.87, "end": 324.65, "word": " هذه", "probability": 0.258544921875}, {"start": 324.65, "end": 324.99, "word": " عبارة", "probability": 0.9710693359375}, {"start": 324.99, "end": 325.17, "word": " عن", "probability": 0.99560546875}, {"start": 325.17, "end": 325.31, "word": " ال", "probability": 0.384521484375}, {"start": 325.31, "end": 325.69, "word": " graph", "probability": 0.7158203125}, {"start": 325.69, "end": 327.29, "word": " y", "probability": 0.4599609375}, {"start": 327.29, "end": 328.09, "word": " بساوي", "probability": 0.73870849609375}, {"start": 328.09, "end": 328.39, "word": " f", "probability": 0.83251953125}, {"start": 328.39, "end": 328.59, "word": " of", "probability": 0.8583984375}, {"start": 328.59, "end": 328.93, "word": " x", "probability": 0.939453125}, {"start": 328.93, "end": 329.15, "word": " ال", "probability": 0.53125}, {"start": 329.15, "end": 329.51, "word": " function", "probability": 0.8623046875}, {"start": 329.51, "end": 329.83, "word": " هذه", "probability": 0.8349609375}, {"start": 329.83, "end": 331.09, "word": " متصلة", "probability": 0.9244791666666666}, {"start": 331.09, "end": 332.53, "word": " على", "probability": 0.86767578125}, {"start": 332.53, "end": 333.43, "word": " الفترة", "probability": 0.9879557291666666}, {"start": 333.43, "end": 334.55, "word": " المغلطة", "probability": 0.9123046875}, {"start": 334.55, "end": 336.89, "word": " من", "probability": 0.98095703125}, {"start": 336.89, "end": 337.27, "word": " a", "probability": 0.8330078125}, {"start": 337.27, "end": 337.39, "word": " ل", "probability": 0.75537109375}, {"start": 337.39, "end": 337.75, "word": " d", "probability": 0.6171875}, {"start": 337.75, "end": 342.89, "word": " وهي", "probability": 0.845703125}, {"start": 342.89, "end": 343.39, "word": " عندي", "probability": 0.8388671875}, {"start": 343.39, "end": 346.05, "word": " f", "probability": 0.86376953125}, {"start": 346.05, "end": 346.35, "word": " of", "probability": 0.9482421875}, {"start": 346.35, "end": 346.83, "word": " a", "probability": 0.98486328125}, {"start": 346.83, "end": 348.13, "word": " أصغر", "probability": 0.953857421875}, {"start": 348.13, "end": 348.33, "word": " من", "probability": 0.998046875}, {"start": 348.33, "end": 348.79, "word": " سفر", "probability": 0.8172200520833334}, {"start": 348.79, "end": 350.99, "word": " وهي", "probability": 0.951416015625}, {"start": 350.99, "end": 351.45, "word": " عندي", "probability": 0.95263671875}], "temperature": 1.0}, {"id": 13, "seek": 36963, "start": 359.19, "end": 369.63, "text": "النظرية بتقول لو كان في اندرالا متصلة زي هذه على فترة مغلقة من a لb وكان f of a أصغر من الصفر و الصفر أصغر من f of b", "tokens": [6027, 1863, 19913, 2288, 10632, 39894, 39648, 45164, 25961, 8978, 16472, 3215, 2288, 6027, 995, 44650, 36520, 3660, 30767, 1829, 29538, 15844, 6156, 2655, 25720, 3714, 17082, 1211, 28671, 9154, 257, 5296, 65, 4032, 41361, 283, 295, 257, 5551, 9381, 17082, 2288, 9154, 31767, 5172, 2288, 4032, 31767, 5172, 2288, 5551, 9381, 17082, 2288, 9154, 283, 295, 272], "avg_logprob": -0.25860698445368624, "compression_ratio": 1.5396825396825398, "no_speech_prob": 8.344650268554688e-07, "words": [{"start": 359.19, "end": 359.75, "word": "النظرية", "probability": 0.7889404296875}, {"start": 359.75, "end": 360.17, "word": " بتقول", "probability": 0.797607421875}, {"start": 360.17, "end": 360.35, "word": " لو", "probability": 0.352783203125}, {"start": 360.35, "end": 360.55, "word": " كان", "probability": 0.97998046875}, {"start": 360.55, "end": 360.67, "word": " في", "probability": 0.40478515625}, {"start": 360.67, "end": 361.17, "word": " اندرالا", "probability": 0.539794921875}, {"start": 361.17, "end": 361.83, "word": " متصلة", "probability": 0.8719075520833334}, {"start": 361.83, "end": 362.03, "word": " زي", "probability": 0.793701171875}, {"start": 362.03, "end": 362.29, "word": " هذه", "probability": 0.60009765625}, {"start": 362.29, "end": 362.51, "word": " على", "probability": 0.78173828125}, {"start": 362.51, "end": 362.89, "word": " فترة", "probability": 0.99169921875}, {"start": 362.89, "end": 363.31, "word": " مغلقة", "probability": 0.95263671875}, {"start": 363.31, "end": 363.53, "word": " من", "probability": 0.9775390625}, {"start": 363.53, "end": 363.67, "word": " a", "probability": 0.64501953125}, {"start": 363.67, "end": 364.07, "word": " لb", "probability": 0.61328125}, {"start": 364.07, "end": 365.03, "word": " وكان", "probability": 0.76953125}, {"start": 365.03, "end": 365.35, "word": " f", "probability": 0.63623046875}, {"start": 365.35, "end": 365.55, "word": " of", "probability": 0.50732421875}, {"start": 365.55, "end": 365.75, "word": " a", "probability": 0.97314453125}, {"start": 365.75, "end": 366.25, "word": " أصغر", "probability": 0.9647216796875}, {"start": 366.25, "end": 366.41, "word": " من", "probability": 0.99072265625}, {"start": 366.41, "end": 366.97, "word": " الصفر", "probability": 0.7493489583333334}, {"start": 366.97, "end": 367.83, "word": " و", "probability": 0.51171875}, {"start": 367.83, "end": 368.31, "word": " الصفر", "probability": 0.9202473958333334}, {"start": 368.31, "end": 368.77, "word": " أصغر", "probability": 0.98388671875}, {"start": 368.77, "end": 368.93, "word": " من", "probability": 0.994140625}, {"start": 368.93, "end": 369.21, "word": " f", "probability": 0.9462890625}, {"start": 369.21, "end": 369.39, "word": " of", "probability": 0.94775390625}, {"start": 369.39, "end": 369.63, "word": " b", "probability": 0.9794921875}], "temperature": 1.0}, {"id": 14, "seek": 39143, "start": 370.79, "end": 391.43, "text": "لابد ان نجد نقطة C بين A وB بحيث ان قيمة الـ function عندها بالساوي سفر و واضح ان نقطة C هي قيمة الـ function عندها بالساوي سفر ممكن برضه يكون العكس يعني الملحانة هذا يكون شكله زي هيك", "tokens": [1211, 16758, 3215, 16472, 8717, 7435, 3215, 8717, 47432, 3660, 383, 49374, 316, 4032, 33, 4724, 5016, 1829, 12984, 16472, 12174, 32640, 3660, 2423, 39184, 2445, 43242, 11296, 20666, 3794, 995, 45865, 8608, 5172, 2288, 4032, 4032, 46958, 5016, 16472, 8717, 47432, 3660, 383, 39896, 12174, 32640, 3660, 2423, 39184, 2445, 43242, 11296, 20666, 3794, 995, 45865, 8608, 5172, 2288, 3714, 43020, 4724, 43042, 3224, 7251, 30544, 18863, 4117, 3794, 37495, 22653, 9673, 1211, 5016, 7649, 3660, 23758, 7251, 30544, 13412, 28820, 3224, 30767, 1829, 39896, 4117], "avg_logprob": -0.26864346116781235, "compression_ratio": 1.811764705882353, "no_speech_prob": 0.0, "words": [{"start": 370.79, "end": 371.47, "word": "لابد", "probability": 0.6429646809895834}, {"start": 371.47, "end": 371.61, "word": " ان", "probability": 0.60009765625}, {"start": 371.61, "end": 372.83, "word": " نجد", "probability": 0.8125}, {"start": 372.83, "end": 374.05, "word": " نقطة", "probability": 0.8888346354166666}, {"start": 374.05, "end": 374.39, "word": " C", "probability": 0.36328125}, {"start": 374.39, "end": 375.45, "word": " بين", "probability": 0.6748046875}, {"start": 375.45, "end": 375.79, "word": " A", "probability": 0.7451171875}, {"start": 375.79, "end": 376.37, "word": " وB", "probability": 0.778564453125}, {"start": 376.37, "end": 377.49, "word": " بحيث", "probability": 0.8309326171875}, {"start": 377.49, "end": 377.81, "word": " ان", "probability": 0.79248046875}, {"start": 377.81, "end": 378.77, "word": " قيمة", "probability": 0.9811197916666666}, {"start": 378.77, "end": 378.99, "word": " الـ", "probability": 0.5797119140625}, {"start": 378.99, "end": 379.29, "word": " function", "probability": 0.763671875}, {"start": 379.29, "end": 379.81, "word": " عندها", "probability": 0.60137939453125}, {"start": 379.81, "end": 380.31, "word": " بالساوي", "probability": 0.74078369140625}, {"start": 380.31, "end": 380.65, "word": " سفر", "probability": 0.783203125}, {"start": 380.65, "end": 380.77, "word": " و", "probability": 0.712890625}, {"start": 380.77, "end": 381.03, "word": " واضح", "probability": 0.7835286458333334}, {"start": 381.03, "end": 381.21, "word": " ان", "probability": 0.86181640625}, {"start": 381.21, "end": 381.65, "word": " نقطة", "probability": 0.7981770833333334}, {"start": 381.65, "end": 381.85, "word": " C", "probability": 0.8701171875}, {"start": 381.85, "end": 382.11, "word": " هي", "probability": 0.51025390625}, {"start": 382.11, "end": 383.07, "word": " قيمة", "probability": 0.9695638020833334}, {"start": 383.07, "end": 383.27, "word": " الـ", "probability": 0.840087890625}, {"start": 383.27, "end": 383.49, "word": " function", "probability": 0.9521484375}, {"start": 383.49, "end": 384.33, "word": " عندها", "probability": 0.9189453125}, {"start": 384.33, "end": 385.55, "word": " بالساوي", "probability": 0.95556640625}, {"start": 385.55, "end": 386.27, "word": " سفر", "probability": 0.9734700520833334}, {"start": 386.27, "end": 388.25, "word": " ممكن", "probability": 0.862548828125}, {"start": 388.25, "end": 388.57, "word": " برضه", "probability": 0.6971842447916666}, {"start": 388.57, "end": 388.85, "word": " يكون", "probability": 0.843505859375}, {"start": 388.85, "end": 389.29, "word": " العكس", "probability": 0.9324544270833334}, {"start": 389.29, "end": 389.47, "word": " يعني", "probability": 0.715576171875}, {"start": 389.47, "end": 389.93, "word": " الملحانة", "probability": 0.79130859375}, {"start": 389.93, "end": 390.11, "word": " هذا", "probability": 0.258544921875}, {"start": 390.11, "end": 390.39, "word": " يكون", "probability": 0.940185546875}, {"start": 390.39, "end": 390.83, "word": " شكله", "probability": 0.9768880208333334}, {"start": 390.83, "end": 391.09, "word": " زي", "probability": 0.921142578125}, {"start": 391.09, "end": 391.43, "word": " هيك", "probability": 0.829833984375}], "temperature": 1.0}, {"id": 15, "seek": 40762, "start": 395.68, "end": 407.62, "text": "فيكون يعني عندي هنا ال F of B هي السالة بقى وهي عند ال A فال F of B هي الموجة بقى برضه نفس النتيجة okay تمام؟", "tokens": [5172, 1829, 30544, 37495, 22653, 18871, 16254, 34105, 2423, 479, 295, 363, 39896, 21136, 6027, 3660, 4724, 4587, 7578, 37037, 1829, 43242, 2423, 316, 6156, 6027, 479, 295, 363, 39896, 9673, 29245, 3660, 4724, 4587, 7578, 4724, 43042, 3224, 8717, 36178, 28239, 31371, 7435, 3660, 1392, 46811, 10943, 22807], "avg_logprob": -0.26140624582767485, "compression_ratio": 1.432, "no_speech_prob": 0.0, "words": [{"start": 395.68, "end": 396.3, "word": "فيكون", "probability": 0.579833984375}, {"start": 396.3, "end": 396.54, "word": " يعني", "probability": 0.619140625}, {"start": 396.54, "end": 396.9, "word": " عندي", "probability": 0.813232421875}, {"start": 396.9, "end": 397.14, "word": " هنا", "probability": 0.9892578125}, {"start": 397.14, "end": 398.14, "word": " ال", "probability": 0.71044921875}, {"start": 398.14, "end": 398.46, "word": " F", "probability": 0.58203125}, {"start": 398.46, "end": 398.7, "word": " of", "probability": 0.72998046875}, {"start": 398.7, "end": 399.04, "word": " B", "probability": 0.72705078125}, {"start": 399.04, "end": 399.48, "word": " هي", "probability": 0.927734375}, {"start": 399.48, "end": 400.1, "word": " السالة", "probability": 0.6313273111979166}, {"start": 400.1, "end": 401.04, "word": " بقى", "probability": 0.9358723958333334}, {"start": 401.04, "end": 401.7, "word": " وهي", "probability": 0.809326171875}, {"start": 401.7, "end": 401.98, "word": " عند", "probability": 0.72900390625}, {"start": 401.98, "end": 402.18, "word": " ال", "probability": 0.74169921875}, {"start": 402.18, "end": 402.42, "word": " A", "probability": 0.89697265625}, {"start": 402.42, "end": 402.98, "word": " فال", "probability": 0.79833984375}, {"start": 402.98, "end": 403.24, "word": " F", "probability": 0.83056640625}, {"start": 403.24, "end": 403.42, "word": " of", "probability": 0.947265625}, {"start": 403.42, "end": 403.64, "word": " B", "probability": 0.98583984375}, {"start": 403.64, "end": 403.92, "word": " هي", "probability": 0.9111328125}, {"start": 403.92, "end": 404.48, "word": " الموجة", "probability": 0.9490559895833334}, {"start": 404.48, "end": 404.92, "word": " بقى", "probability": 0.9954427083333334}, {"start": 404.92, "end": 405.6, "word": " برضه", "probability": 0.81884765625}, {"start": 405.6, "end": 405.86, "word": " نفس", "probability": 0.99755859375}, {"start": 405.86, "end": 406.58, "word": " النتيجة", "probability": 0.8623046875}, {"start": 406.58, "end": 406.9, "word": " okay", "probability": 0.62744140625}, {"start": 406.9, "end": 407.62, "word": " تمام؟", "probability": 0.8592122395833334}], "temperature": 1.0}, {"id": 16, "seek": 43953, "start": 415.41, "end": 439.53, "text": "البرهان النظرية هذه يعني it's زي ما بيقولوا it's quite technical يعني فيه شوية تفاصيل تقنية زاد انه طويل شوية فاحنا عشان بصدر نهاية الفصل مابناش ناخد .. ناخد .. ناخد في البرهين الطويلة فحسيبكم تقراوا البرهان اذا see the textbook", "tokens": [6027, 26890, 3224, 7649, 28239, 19913, 2288, 10632, 29538, 37495, 22653, 309, 311, 30767, 1829, 19446, 4724, 1829, 39648, 14407, 309, 311, 1596, 6191, 37495, 22653, 8978, 3224, 13412, 2407, 10632, 6055, 5172, 33546, 26895, 6055, 4587, 1863, 10632, 30767, 18513, 16472, 3224, 23032, 2407, 26895, 13412, 2407, 10632, 6156, 39319, 8315, 6225, 8592, 7649, 4724, 9381, 3215, 2288, 8717, 11296, 10632, 27188, 36520, 3714, 16758, 1863, 33599, 8717, 47283, 3215, 4386, 8717, 47283, 3215, 4386, 8717, 47283, 3215, 8978, 2423, 26890, 3224, 9957, 41950, 2407, 26895, 3660, 6156, 5016, 3794, 1829, 3555, 24793, 6055, 4587, 23557, 14407, 2423, 26890, 3224, 7649, 1975, 15730, 536, 264, 25591], "avg_logprob": -0.1656539325636846, "compression_ratio": 1.724770642201835, "no_speech_prob": 0.0, "words": [{"start": 415.41, "end": 416.13, "word": "البرهان", "probability": 0.80615234375}, {"start": 416.13, "end": 416.63, "word": " النظرية", "probability": 0.8619384765625}, {"start": 416.63, "end": 416.95, "word": " هذه", "probability": 0.7548828125}, {"start": 416.95, "end": 417.29, "word": " يعني", "probability": 0.68359375}, {"start": 417.29, "end": 418.75, "word": " it's", "probability": 0.90576171875}, {"start": 418.75, "end": 419.05, "word": " زي", "probability": 0.77783203125}, {"start": 419.05, "end": 419.11, "word": " ما", "probability": 0.97216796875}, {"start": 419.11, "end": 419.51, "word": " بيقولوا", "probability": 0.9447021484375}, {"start": 419.51, "end": 419.79, "word": " it's", "probability": 0.97021484375}, {"start": 419.79, "end": 420.29, "word": " quite", "probability": 0.91650390625}, {"start": 420.29, "end": 421.33, "word": " technical", "probability": 0.93603515625}, {"start": 421.33, "end": 421.67, "word": " يعني", "probability": 0.928955078125}, {"start": 421.67, "end": 422.51, "word": " فيه", "probability": 0.825927734375}, {"start": 422.51, "end": 423.33, "word": " شوية", "probability": 0.875}, {"start": 423.33, "end": 423.99, "word": " تفاصيل", "probability": 0.9942626953125}, {"start": 423.99, "end": 424.81, "word": " تقنية", "probability": 0.9659423828125}, {"start": 424.81, "end": 426.35, "word": " زاد", "probability": 0.906494140625}, {"start": 426.35, "end": 426.63, "word": " انه", "probability": 0.716552734375}, {"start": 426.63, "end": 426.99, "word": " طويل", "probability": 0.9464518229166666}, {"start": 426.99, "end": 427.53, "word": " شوية", "probability": 0.9685872395833334}, {"start": 427.53, "end": 430.21, "word": " فاحنا", "probability": 0.91552734375}, {"start": 430.21, "end": 430.51, "word": " عشان", "probability": 0.9847005208333334}, {"start": 430.51, "end": 430.95, "word": " بصدر", "probability": 0.8228759765625}, {"start": 430.95, "end": 431.29, "word": " نهاية", "probability": 0.9622395833333334}, {"start": 431.29, "end": 431.71, "word": " الفصل", "probability": 0.950927734375}, {"start": 431.71, "end": 432.13, "word": " مابناش", "probability": 0.73193359375}, {"start": 432.13, "end": 433.09, "word": " ناخد", "probability": 0.95947265625}, {"start": 433.09, "end": 433.23, "word": " ..", "probability": 0.32470703125}, {"start": 433.23, "end": 433.35, "word": " ناخد", "probability": 0.9288736979166666}, {"start": 433.35, "end": 433.35, "word": " ..", "probability": 0.53076171875}, {"start": 433.35, "end": 433.45, "word": " ناخد", "probability": 0.8924153645833334}, {"start": 433.45, "end": 433.61, "word": " في", "probability": 0.48046875}, {"start": 433.61, "end": 433.99, "word": " البرهين", "probability": 0.909912109375}, {"start": 433.99, "end": 434.65, "word": " الطويلة", "probability": 0.9681396484375}, {"start": 434.65, "end": 435.77, "word": " فحسيبكم", "probability": 0.831787109375}, {"start": 435.77, "end": 436.33, "word": " تقراوا", "probability": 0.77557373046875}, {"start": 436.33, "end": 436.79, "word": " البرهان", "probability": 0.8538818359375}, {"start": 436.79, "end": 437.09, "word": " اذا", "probability": 0.75830078125}, {"start": 437.09, "end": 438.65, "word": " see", "probability": 0.50341796875}, {"start": 438.65, "end": 439.01, "word": " the", "probability": 0.92822265625}, {"start": 439.01, "end": 439.53, "word": " textbook", "probability": 0.65966796875}], "temperature": 1.0}, {"id": 17, "seek": 46693, "start": 445.03, "end": 466.93, "text": "إذا الممكن بدؤوكم يمكن تقرؤوا البرهان من الكتاب و تحاولوا تفهموه طبعا البرهان طويل مابنجوبش طبعا البرهين طويلة جه هدف الامتحانات okay فهذا بالنسبة للبرهان الآن هاي مثال مثلا مثال example", "tokens": [28814, 15730, 9673, 43020, 47525, 33604, 2407, 24793, 7251, 43020, 6055, 4587, 2288, 33604, 14407, 2423, 26890, 3224, 7649, 9154, 33251, 2655, 16758, 4032, 6055, 5016, 995, 12610, 14407, 6055, 5172, 16095, 2407, 3224, 23032, 3555, 3615, 995, 2423, 26890, 3224, 7649, 23032, 2407, 26895, 3714, 16758, 1863, 7435, 37746, 8592, 23032, 3555, 3615, 995, 2423, 26890, 3224, 9957, 23032, 2407, 26895, 3660, 10874, 3224, 8032, 3215, 5172, 2423, 10943, 2655, 5016, 7649, 9307, 1392, 6156, 3224, 15730, 20666, 1863, 35457, 3660, 24976, 26890, 3224, 7649, 6024, 48506, 8032, 47302, 50113, 6027, 50113, 15040, 50113, 6027, 1365], "avg_logprob": -0.17809311087642396, "compression_ratio": 1.8087431693989071, "no_speech_prob": 0.0, "words": [{"start": 445.03, "end": 445.31, "word": "إذا", "probability": 0.83203125}, {"start": 445.31, "end": 445.85, "word": " الممكن", "probability": 0.823486328125}, {"start": 445.85, "end": 448.15, "word": " بدؤوكم", "probability": 0.57672119140625}, {"start": 448.15, "end": 448.37, "word": " يمكن", "probability": 0.6190185546875}, {"start": 448.37, "end": 448.81, "word": " تقرؤوا", "probability": 0.73681640625}, {"start": 448.81, "end": 449.31, "word": " البرهان", "probability": 0.9012451171875}, {"start": 449.31, "end": 449.57, "word": " من", "probability": 0.98486328125}, {"start": 449.57, "end": 450.11, "word": " الكتاب", "probability": 0.990234375}, {"start": 450.11, "end": 452.13, "word": " و", "probability": 0.410888671875}, {"start": 452.13, "end": 452.49, "word": " تحاولوا", "probability": 0.97607421875}, {"start": 452.49, "end": 454.15, "word": " تفهموه", "probability": 0.85927734375}, {"start": 454.15, "end": 454.91, "word": " طبعا", "probability": 0.9649658203125}, {"start": 454.91, "end": 455.35, "word": " البرهان", "probability": 0.97265625}, {"start": 455.35, "end": 455.77, "word": " طويل", "probability": 0.9503580729166666}, {"start": 455.77, "end": 456.53, "word": " مابنجوبش", "probability": 0.803955078125}, {"start": 456.53, "end": 456.77, "word": " طبعا", "probability": 0.96240234375}, {"start": 456.77, "end": 457.17, "word": " البرهين", "probability": 0.8929443359375}, {"start": 457.17, "end": 457.57, "word": " طويلة", "probability": 0.8917236328125}, {"start": 457.57, "end": 457.73, "word": " جه", "probability": 0.48211669921875}, {"start": 457.73, "end": 458.01, "word": " هدف", "probability": 0.91943359375}, {"start": 458.01, "end": 458.73, "word": " الامتحانات", "probability": 0.9353841145833334}, {"start": 458.73, "end": 460.49, "word": " okay", "probability": 0.65771484375}, {"start": 460.49, "end": 461.61, "word": " فهذا", "probability": 0.8767903645833334}, {"start": 461.61, "end": 461.99, "word": " بالنسبة", "probability": 0.9359130859375}, {"start": 461.99, "end": 462.73, "word": " للبرهان", "probability": 0.955322265625}, {"start": 462.73, "end": 463.83, "word": " الآن", "probability": 0.6424560546875}, {"start": 463.83, "end": 464.59, "word": " هاي", "probability": 0.757568359375}, {"start": 464.59, "end": 465.09, "word": " مثال", "probability": 0.992919921875}, {"start": 465.09, "end": 465.59, "word": " مثلا", "probability": 0.984130859375}, {"start": 465.59, "end": 466.15, "word": " مثال", "probability": 0.977783203125}, {"start": 466.15, "end": 466.93, "word": " example", "probability": 0.96337890625}], "temperature": 1.0}, {"id": 18, "seek": 49421, "start": 474.05, "end": 494.21, "text": "Show that the equation f of x بتساوي x في e أُس x سالب اتنين بتساوي سفر has a root", "tokens": [27692, 300, 264, 5367, 283, 295, 2031, 39894, 3794, 995, 45865, 2031, 8978, 308, 5551, 10859, 3794, 2031, 8608, 6027, 3555, 1975, 2655, 1863, 9957, 39894, 3794, 995, 45865, 8608, 5172, 2288, 575, 257, 5593], "avg_logprob": -0.2601996395323012, "compression_ratio": 1.121212121212121, "no_speech_prob": 0.0, "words": [{"start": 474.05, "end": 474.47, "word": "Show", "probability": 0.07958984375}, {"start": 474.47, "end": 474.93, "word": " that", "probability": 0.84912109375}, {"start": 474.93, "end": 478.27, "word": " the", "probability": 0.5126953125}, {"start": 478.27, "end": 480.27, "word": " equation", "probability": 0.96435546875}, {"start": 480.27, "end": 483.47, "word": " f", "probability": 0.5908203125}, {"start": 483.47, "end": 483.75, "word": " of", "probability": 0.447509765625}, {"start": 483.75, "end": 484.23, "word": " x", "probability": 0.89697265625}, {"start": 484.23, "end": 485.13, "word": " بتساوي", "probability": 0.8421630859375}, {"start": 485.13, "end": 486.87, "word": " x", "probability": 0.84521484375}, {"start": 486.87, "end": 487.21, "word": " في", "probability": 0.83935546875}, {"start": 487.21, "end": 487.49, "word": " e", "probability": 0.66943359375}, {"start": 487.49, "end": 487.83, "word": " أُس", "probability": 0.65185546875}, {"start": 487.83, "end": 488.09, "word": " x", "probability": 0.96533203125}, {"start": 488.09, "end": 488.57, "word": " سالب", "probability": 0.6638997395833334}, {"start": 488.57, "end": 488.99, "word": " اتنين", "probability": 0.928466796875}, {"start": 488.99, "end": 489.57, "word": " بتساوي", "probability": 0.9532470703125}, {"start": 489.57, "end": 490.13, "word": " سفر", "probability": 0.9235026041666666}, {"start": 490.13, "end": 491.51, "word": " has", "probability": 0.701171875}, {"start": 491.51, "end": 493.61, "word": " a", "probability": 0.978515625}, {"start": 493.61, "end": 494.21, "word": " root", "probability": 0.93310546875}], "temperature": 1.0}, {"id": 19, "seek": 52832, "start": 500.42, "end": 528.32, "text": "in الـ interval من سفر لواحد لنثبت ان المعادلة f of x بالساوي سفر عشان f of x بالساوي الدالة هذه لها جدر يعني بنقدر اللاجم اي هذا يعني show", "tokens": [259, 2423, 39184, 15035, 9154, 8608, 5172, 2288, 5296, 14407, 24401, 5296, 1863, 12984, 3555, 2655, 16472, 9673, 3615, 18513, 37977, 283, 295, 2031, 20666, 3794, 995, 45865, 8608, 5172, 2288, 6225, 8592, 7649, 283, 295, 2031, 20666, 3794, 995, 45865, 32748, 6027, 3660, 29538, 5296, 11296, 10874, 3215, 2288, 37495, 22653, 44945, 28543, 2288, 13672, 26108, 2304, 1975, 1829, 23758, 37495, 22653, 855], "avg_logprob": -0.3105769230769231, "compression_ratio": 1.5133333333333334, "no_speech_prob": 0.0, "words": [{"start": 500.41999999999996, "end": 501.4, "word": "in", "probability": 0.214111328125}, {"start": 501.4, "end": 502.38, "word": " الـ", "probability": 0.474853515625}, {"start": 502.38, "end": 502.86, "word": " interval", "probability": 0.80908203125}, {"start": 502.86, "end": 503.22, "word": " من", "probability": 0.95654296875}, {"start": 503.22, "end": 503.68, "word": " سفر", "probability": 0.7062174479166666}, {"start": 503.68, "end": 504.24, "word": " لواحد", "probability": 0.7962239583333334}, {"start": 504.24, "end": 509.98, "word": " لنثبت", "probability": 0.730078125}, {"start": 509.98, "end": 510.18, "word": " ان", "probability": 0.505859375}, {"start": 510.18, "end": 510.9, "word": " المعادلة", "probability": 0.9783935546875}, {"start": 510.9, "end": 512.28, "word": " f", "probability": 0.4775390625}, {"start": 512.28, "end": 512.46, "word": " of", "probability": 0.53369140625}, {"start": 512.46, "end": 512.68, "word": " x", "probability": 0.89111328125}, {"start": 512.68, "end": 513.12, "word": " بالساوي", "probability": 0.678955078125}, {"start": 513.12, "end": 513.58, "word": " سفر", "probability": 0.8994140625}, {"start": 513.58, "end": 514.08, "word": " عشان", "probability": 0.5645345052083334}, {"start": 514.08, "end": 514.26, "word": " f", "probability": 0.59423828125}, {"start": 514.26, "end": 514.4, "word": " of", "probability": 0.91552734375}, {"start": 514.4, "end": 514.56, "word": " x", "probability": 0.97900390625}, {"start": 514.56, "end": 515.2, "word": " بالساوي", "probability": 0.9735107421875}, {"start": 515.2, "end": 516.26, "word": " الدالة", "probability": 0.9222005208333334}, {"start": 516.26, "end": 516.66, "word": " هذه", "probability": 0.775390625}, {"start": 516.66, "end": 517.44, "word": " لها", "probability": 0.6002197265625}, {"start": 517.44, "end": 517.84, "word": " جدر", "probability": 0.9231770833333334}, {"start": 517.84, "end": 518.2, "word": " يعني", "probability": 0.928955078125}, {"start": 518.2, "end": 518.62, "word": " بنقدر", "probability": 0.8414713541666666}, {"start": 518.62, "end": 519.14, "word": " اللاجم", "probability": 0.7237955729166666}, {"start": 519.14, "end": 523.1, "word": " اي", "probability": 0.5281982421875}, {"start": 523.1, "end": 525.7, "word": " هذا", "probability": 0.8359375}, {"start": 525.7, "end": 527.12, "word": " يعني", "probability": 0.977294921875}, {"start": 527.12, "end": 528.32, "word": " show", "probability": 0.8974609375}], "temperature": 1.0}, {"id": 20, "seek": 55490, "start": 529.76, "end": 554.9, "text": "ان يوجد C ينتمي للفترة المغلقة من سفر لواحد بحيث انه اخه C مساره سفر ففي الحالة اللي بنقول انه C root جدر للمعادلة او C zero لل function F فبنرفبت الكلام هذا فحسب النظرية هذه", "tokens": [7649, 7251, 29245, 3215, 383, 7251, 29399, 2304, 1829, 24976, 5172, 2655, 25720, 9673, 17082, 1211, 28671, 9154, 8608, 5172, 2288, 5296, 14407, 24401, 4724, 5016, 1829, 12984, 16472, 3224, 1975, 9778, 3224, 383, 47524, 9640, 3224, 8608, 5172, 2288, 6156, 41185, 21542, 6027, 3660, 13672, 1829, 44945, 39648, 16472, 3224, 383, 5593, 10874, 3215, 2288, 5296, 19528, 3615, 18513, 37977, 1975, 2407, 383, 4018, 24976, 2445, 479, 6156, 3555, 1863, 28480, 3555, 2655, 2423, 28820, 10943, 23758, 6156, 5016, 35457, 28239, 19913, 2288, 10632, 29538], "avg_logprob": -0.26364941843624773, "compression_ratio": 1.5698924731182795, "no_speech_prob": 0.0, "words": [{"start": 529.76, "end": 530.06, "word": "ان", "probability": 0.1278076171875}, {"start": 530.06, "end": 530.62, "word": " يوجد", "probability": 0.5065104166666666}, {"start": 530.62, "end": 531.06, "word": " C", "probability": 0.48388671875}, {"start": 531.06, "end": 531.88, "word": " ينتمي", "probability": 0.8773193359375}, {"start": 531.88, "end": 533.22, "word": " للفترة", "probability": 0.9053955078125}, {"start": 533.22, "end": 533.74, "word": " المغلقة", "probability": 0.9510498046875}, {"start": 533.74, "end": 534.04, "word": " من", "probability": 0.9853515625}, {"start": 534.04, "end": 534.46, "word": " سفر", "probability": 0.6919759114583334}, {"start": 534.46, "end": 535.16, "word": " لواحد", "probability": 0.8387044270833334}, {"start": 535.16, "end": 535.74, "word": " بحيث", "probability": 0.8974609375}, {"start": 535.74, "end": 537.06, "word": " انه", "probability": 0.684814453125}, {"start": 537.06, "end": 537.74, "word": " اخه", "probability": 0.6710611979166666}, {"start": 537.74, "end": 538.24, "word": " C", "probability": 0.80419921875}, {"start": 538.24, "end": 539.44, "word": " مساره", "probability": 0.6014811197916666}, {"start": 539.44, "end": 539.92, "word": " سفر", "probability": 0.9283854166666666}, {"start": 539.92, "end": 541.48, "word": " ففي", "probability": 0.8173828125}, {"start": 541.48, "end": 541.76, "word": " الحالة", "probability": 0.9117838541666666}, {"start": 541.76, "end": 541.9, "word": " اللي", "probability": 0.76123046875}, {"start": 541.9, "end": 542.22, "word": " بنقول", "probability": 0.86279296875}, {"start": 542.22, "end": 542.52, "word": " انه", "probability": 0.689453125}, {"start": 542.52, "end": 542.74, "word": " C", "probability": 0.82373046875}, {"start": 542.74, "end": 543.3, "word": " root", "probability": 0.64892578125}, {"start": 543.3, "end": 543.8, "word": " جدر", "probability": 0.9513346354166666}, {"start": 543.8, "end": 544.46, "word": " للمعادلة", "probability": 0.91435546875}, {"start": 544.46, "end": 545.96, "word": " او", "probability": 0.7109375}, {"start": 545.96, "end": 546.4, "word": " C", "probability": 0.89794921875}, {"start": 546.4, "end": 547.14, "word": " zero", "probability": 0.268310546875}, {"start": 547.14, "end": 547.36, "word": " لل", "probability": 0.53564453125}, {"start": 547.36, "end": 547.72, "word": " function", "probability": 0.76123046875}, {"start": 547.72, "end": 548.16, "word": " F", "probability": 0.73095703125}, {"start": 548.16, "end": 550.84, "word": " فبنرفبت", "probability": 0.7454427083333334}, {"start": 550.84, "end": 551.24, "word": " الكلام", "probability": 0.9661458333333334}, {"start": 551.24, "end": 551.66, "word": " هذا", "probability": 0.9658203125}, {"start": 551.66, "end": 553.94, "word": " فحسب", "probability": 0.9278971354166666}, {"start": 553.94, "end": 554.52, "word": " النظرية", "probability": 0.947998046875}, {"start": 554.52, "end": 554.9, "word": " هذه", "probability": 0.91552734375}], "temperature": 1.0}, {"id": 21, "seek": 58065, "start": 567.63, "end": 580.65, "text": "F of X بساوي X في E to X سالب اتنين is continuous متصلة على الفترة المغلقة من سفر لواحد", "tokens": [37, 295, 1783, 4724, 3794, 995, 45865, 1783, 8978, 462, 281, 1783, 8608, 6027, 3555, 1975, 2655, 1863, 9957, 307, 10957, 44650, 36520, 3660, 15844, 27188, 2655, 25720, 9673, 17082, 1211, 28671, 9154, 8608, 5172, 2288, 5296, 14407, 24401], "avg_logprob": -0.30039062798023225, "compression_ratio": 1.1551724137931034, "no_speech_prob": 0.0, "words": [{"start": 567.63, "end": 568.61, "word": "F", "probability": 0.06671142578125}, {"start": 568.61, "end": 569.59, "word": " of", "probability": 0.1768798828125}, {"start": 569.59, "end": 570.05, "word": " X", "probability": 0.82275390625}, {"start": 570.05, "end": 571.03, "word": " بساوي", "probability": 0.662689208984375}, {"start": 571.03, "end": 572.05, "word": " X", "probability": 0.83642578125}, {"start": 572.05, "end": 572.35, "word": " في", "probability": 0.83203125}, {"start": 572.35, "end": 572.59, "word": " E", "probability": 0.8896484375}, {"start": 572.59, "end": 572.75, "word": " to", "probability": 0.76123046875}, {"start": 572.75, "end": 573.05, "word": " X", "probability": 0.9951171875}, {"start": 573.05, "end": 573.49, "word": " سالب", "probability": 0.8504231770833334}, {"start": 573.49, "end": 574.03, "word": " اتنين", "probability": 0.9373779296875}, {"start": 574.03, "end": 574.47, "word": " is", "probability": 0.73095703125}, {"start": 574.47, "end": 575.37, "word": " continuous", "probability": 0.91357421875}, {"start": 575.37, "end": 578.01, "word": " متصلة", "probability": 0.8038736979166666}, {"start": 578.01, "end": 578.23, "word": " على", "probability": 0.91064453125}, {"start": 578.23, "end": 578.77, "word": " الفترة", "probability": 0.9737955729166666}, {"start": 578.77, "end": 579.39, "word": " المغلقة", "probability": 0.96484375}, {"start": 579.39, "end": 579.71, "word": " من", "probability": 0.984375}, {"start": 579.71, "end": 580.13, "word": " سفر", "probability": 0.7542317708333334}, {"start": 580.13, "end": 580.65, "word": " لواحد", "probability": 0.6062825520833334}], "temperature": 1.0}, {"id": 22, "seek": 60337, "start": 587.89, "end": 603.37, "text": "لأن X في E to X هي دالة متصلة اتراحى منها ثابت دالة متصلة على R كذلك انا عندي F of سفر بساوي سالب اتنين اصغر من سفر", "tokens": [1211, 33456, 1783, 8978, 462, 281, 1783, 39896, 11778, 6027, 3660, 44650, 36520, 3660, 1975, 2655, 23557, 5016, 7578, 9154, 11296, 38637, 16758, 2655, 11778, 6027, 3660, 44650, 36520, 3660, 15844, 497, 9122, 8848, 23275, 1975, 8315, 18871, 16254, 479, 295, 8608, 5172, 2288, 4724, 3794, 995, 45865, 8608, 6027, 3555, 1975, 2655, 1863, 9957, 1975, 9381, 17082, 2288, 9154, 8608, 5172, 2288], "avg_logprob": -0.28222657134756446, "compression_ratio": 1.4370370370370371, "no_speech_prob": 0.0, "words": [{"start": 587.89, "end": 588.37, "word": "لأن", "probability": 0.5242919921875}, {"start": 588.37, "end": 588.77, "word": " X", "probability": 0.2841796875}, {"start": 588.77, "end": 588.95, "word": " في", "probability": 0.6494140625}, {"start": 588.95, "end": 589.07, "word": " E", "probability": 0.6552734375}, {"start": 589.07, "end": 589.23, "word": " to", "probability": 0.72705078125}, {"start": 589.23, "end": 589.43, "word": " X", "probability": 0.99462890625}, {"start": 589.43, "end": 589.59, "word": " هي", "probability": 0.446533203125}, {"start": 589.59, "end": 589.91, "word": " دالة", "probability": 0.5015462239583334}, {"start": 589.91, "end": 590.49, "word": " متصلة", "probability": 0.9274088541666666}, {"start": 590.49, "end": 590.87, "word": " اتراحى", "probability": 0.60126953125}, {"start": 590.87, "end": 591.07, "word": " منها", "probability": 0.949951171875}, {"start": 591.07, "end": 591.51, "word": " ثابت", "probability": 0.9884440104166666}, {"start": 591.51, "end": 591.83, "word": " دالة", "probability": 0.8487955729166666}, {"start": 591.83, "end": 592.35, "word": " متصلة", "probability": 0.9441731770833334}, {"start": 592.35, "end": 592.47, "word": " على", "probability": 0.91748046875}, {"start": 592.47, "end": 592.77, "word": " R", "probability": 0.890625}, {"start": 592.77, "end": 596.75, "word": " كذلك", "probability": 0.736328125}, {"start": 596.75, "end": 596.95, "word": " انا", "probability": 0.760986328125}, {"start": 596.95, "end": 597.39, "word": " عندي", "probability": 0.837646484375}, {"start": 597.39, "end": 597.85, "word": " F", "probability": 0.89404296875}, {"start": 597.85, "end": 598.45, "word": " of", "probability": 0.78857421875}, {"start": 598.45, "end": 599.07, "word": " سفر", "probability": 0.7124430338541666}, {"start": 599.07, "end": 601.09, "word": " بساوي", "probability": 0.8359375}, {"start": 601.09, "end": 601.77, "word": " سالب", "probability": 0.6834309895833334}, {"start": 601.77, "end": 602.23, "word": " اتنين", "probability": 0.9442138671875}, {"start": 602.23, "end": 602.71, "word": " اصغر", "probability": 0.9178466796875}, {"start": 602.71, "end": 602.89, "word": " من", "probability": 0.9951171875}, {"start": 602.89, "end": 603.37, "word": " سفر", "probability": 0.9182942708333334}], "temperature": 1.0}, {"id": 23, "seek": 63370, "start": 604.44, "end": 633.7, "text": "و F of واحد بالساوي E ثاند اتنين وال E معروف انه عدد اكبر من اتنين فهذا اكبر من ساكنة اذا هاي شروط ال location of roots ال theorem كلها متحققة hence by location of roots theorem", "tokens": [2407, 479, 295, 36764, 24401, 20666, 3794, 995, 45865, 462, 38637, 7649, 3215, 1975, 2655, 1863, 9957, 16070, 462, 20449, 32887, 5172, 16472, 3224, 6225, 3215, 3215, 1975, 4117, 26890, 9154, 1975, 2655, 1863, 9957, 6156, 3224, 15730, 1975, 4117, 26890, 9154, 8608, 995, 19452, 3660, 1975, 15730, 8032, 47302, 13412, 32887, 9566, 2423, 4914, 295, 10669, 2423, 20904, 28242, 11296, 44650, 5016, 4587, 28671, 16678, 538, 4914, 295, 10669, 20904], "avg_logprob": -0.2235243005885018, "compression_ratio": 1.5595238095238095, "no_speech_prob": 0.0, "words": [{"start": 604.44, "end": 604.9, "word": "و", "probability": 0.6826171875}, {"start": 604.9, "end": 606.46, "word": " F", "probability": 0.5068359375}, {"start": 606.46, "end": 607.22, "word": " of", "probability": 0.27294921875}, {"start": 607.22, "end": 607.96, "word": " واحد", "probability": 0.7685546875}, {"start": 607.96, "end": 608.98, "word": " بالساوي", "probability": 0.7413330078125}, {"start": 608.98, "end": 610.38, "word": " E", "probability": 0.6826171875}, {"start": 610.38, "end": 611.14, "word": " ثاند", "probability": 0.7194010416666666}, {"start": 611.14, "end": 611.78, "word": " اتنين", "probability": 0.965576171875}, {"start": 611.78, "end": 613.06, "word": " وال", "probability": 0.471435546875}, {"start": 613.06, "end": 613.34, "word": " E", "probability": 0.5400390625}, {"start": 613.34, "end": 614.74, "word": " معروف", "probability": 0.7277018229166666}, {"start": 614.74, "end": 614.96, "word": " انه", "probability": 0.6165771484375}, {"start": 614.96, "end": 615.3, "word": " عدد", "probability": 0.95361328125}, {"start": 615.3, "end": 615.68, "word": " اكبر", "probability": 0.9593098958333334}, {"start": 615.68, "end": 615.9, "word": " من", "probability": 0.96923828125}, {"start": 615.9, "end": 616.26, "word": " اتنين", "probability": 0.9742431640625}, {"start": 616.26, "end": 616.7, "word": " فهذا", "probability": 0.9401041666666666}, {"start": 616.7, "end": 617.16, "word": " اكبر", "probability": 0.9278971354166666}, {"start": 617.16, "end": 617.38, "word": " من", "probability": 0.970703125}, {"start": 617.38, "end": 618.06, "word": " ساكنة", "probability": 0.743896484375}, {"start": 618.06, "end": 619.24, "word": " اذا", "probability": 0.6512451171875}, {"start": 619.24, "end": 619.52, "word": " هاي", "probability": 0.62158203125}, {"start": 619.52, "end": 620.06, "word": " شروط", "probability": 0.8902994791666666}, {"start": 620.06, "end": 621.1, "word": " ال", "probability": 0.84423828125}, {"start": 621.1, "end": 621.5, "word": " location", "probability": 0.96923828125}, {"start": 621.5, "end": 621.76, "word": " of", "probability": 0.974609375}, {"start": 621.76, "end": 621.98, "word": " roots", "probability": 0.88916015625}, {"start": 621.98, "end": 622.14, "word": " ال", "probability": 0.447509765625}, {"start": 622.14, "end": 622.36, "word": " theorem", "probability": 0.90869140625}, {"start": 622.36, "end": 622.7, "word": " كلها", "probability": 0.98583984375}, {"start": 622.7, "end": 623.36, "word": " متحققة", "probability": 0.8856201171875}, {"start": 623.36, "end": 625.94, "word": " hence", "probability": 0.59326171875}, {"start": 625.94, "end": 628.5, "word": " by", "probability": 0.91064453125}, {"start": 628.5, "end": 629.9, "word": " location", "probability": 0.92041015625}, {"start": 629.9, "end": 630.6, "word": " of", "probability": 0.98193359375}, {"start": 630.6, "end": 631.14, "word": " roots", "probability": 0.91748046875}, {"start": 631.14, "end": 633.7, "word": " theorem", "probability": 0.88671875}], "temperature": 1.0}, {"id": 24, "seek": 66140, "start": 636.36, "end": 661.4, "text": "يوجد C أنتمي للفترة المغلقة من ستة إلى واحد بحيث انه F of C بساوي سفر اذا هنا اثبتنا ان C is a root of equation F of X", "tokens": [1829, 29245, 3215, 383, 14739, 39237, 1829, 24976, 5172, 2655, 25720, 9673, 17082, 1211, 28671, 9154, 8608, 2655, 3660, 30731, 36764, 24401, 4724, 5016, 1829, 12984, 16472, 3224, 479, 295, 383, 4724, 3794, 995, 45865, 8608, 5172, 2288, 1975, 15730, 34105, 1975, 12984, 3555, 2655, 8315, 16472, 383, 307, 257, 5593, 295, 5367, 479, 295, 1783], "avg_logprob": -0.2996162197046113, "compression_ratio": 1.2569444444444444, "no_speech_prob": 0.0, "words": [{"start": 636.3599999999999, "end": 637.56, "word": "يوجد", "probability": 0.89013671875}, {"start": 637.56, "end": 637.94, "word": " C", "probability": 0.300048828125}, {"start": 637.94, "end": 638.54, "word": " أنتمي", "probability": 0.7638346354166666}, {"start": 638.54, "end": 639.04, "word": " للفترة", "probability": 0.7471923828125}, {"start": 639.04, "end": 639.56, "word": " المغلقة", "probability": 0.9539794921875}, {"start": 639.56, "end": 639.84, "word": " من", "probability": 0.98486328125}, {"start": 639.84, "end": 640.18, "word": " ستة", "probability": 0.5869140625}, {"start": 640.18, "end": 640.3, "word": " إلى", "probability": 0.47705078125}, {"start": 640.3, "end": 640.78, "word": " واحد", "probability": 0.982177734375}, {"start": 640.78, "end": 642.3, "word": " بحيث", "probability": 0.8822021484375}, {"start": 642.3, "end": 643.56, "word": " انه", "probability": 0.4329833984375}, {"start": 643.56, "end": 644.8, "word": " F", "probability": 0.63134765625}, {"start": 644.8, "end": 645.22, "word": " of", "probability": 0.6103515625}, {"start": 645.22, "end": 646.04, "word": " C", "probability": 0.943359375}, {"start": 646.04, "end": 646.98, "word": " بساوي", "probability": 0.80010986328125}, {"start": 646.98, "end": 647.58, "word": " سفر", "probability": 0.818359375}, {"start": 647.58, "end": 649.78, "word": " اذا", "probability": 0.497314453125}, {"start": 649.78, "end": 650.1, "word": " هنا", "probability": 0.498291015625}, {"start": 650.1, "end": 650.86, "word": " اثبتنا", "probability": 0.9216796875}, {"start": 650.86, "end": 652.08, "word": " ان", "probability": 0.80078125}, {"start": 652.08, "end": 653.58, "word": " C", "probability": 0.65380859375}, {"start": 653.58, "end": 654.92, "word": " is", "probability": 0.6279296875}, {"start": 654.92, "end": 655.24, "word": " a", "probability": 0.6171875}, {"start": 655.24, "end": 655.64, "word": " root", "probability": 0.8828125}, {"start": 655.64, "end": 658.06, "word": " of", "probability": 0.96435546875}, {"start": 658.06, "end": 659.06, "word": " equation", "probability": 0.45751953125}, {"start": 659.06, "end": 660.8, "word": " F", "probability": 0.82275390625}, {"start": 660.8, "end": 661.02, "word": " of", "probability": 0.86767578125}, {"start": 661.02, "end": 661.4, "word": " X", "probability": 0.9814453125}], "temperature": 1.0}, {"id": 25, "seek": 69176, "start": 664.08, "end": 691.76, "text": "بساوي X في E أس X minus اتنين بساوي سفر وهو المطلوب اذا هنا اثبتنا ان فعلا المعادلة هذه لها جذر في الفترة هذا الجذر يقع هو عدد C يقع في الفترة من سفر لوحده عدد من سفر لوحده طبعا ممكن هذا العدد C نعمله تقريب إلى أقرب يعني", "tokens": [3555, 3794, 995, 45865, 1783, 8978, 462, 5551, 3794, 1783, 3175, 1975, 2655, 1863, 9957, 4724, 3794, 995, 45865, 8608, 5172, 2288, 37037, 2407, 9673, 9566, 1211, 37746, 1975, 15730, 34105, 1975, 12984, 3555, 2655, 8315, 16472, 6156, 3615, 15040, 9673, 3615, 18513, 37977, 29538, 5296, 11296, 10874, 8848, 2288, 8978, 27188, 2655, 25720, 23758, 25724, 8848, 2288, 7251, 4587, 3615, 31439, 6225, 3215, 3215, 383, 7251, 4587, 3615, 8978, 27188, 2655, 25720, 9154, 8608, 5172, 2288, 45164, 24401, 3224, 6225, 3215, 3215, 9154, 8608, 5172, 2288, 45164, 24401, 3224, 23032, 3555, 3615, 995, 3714, 43020, 23758, 18863, 3215, 3215, 383, 8717, 25957, 43761, 6055, 4587, 16572, 3555, 30731, 5551, 4587, 25513, 37495, 22653], "avg_logprob": -0.18682064854580424, "compression_ratio": 1.8817733990147782, "no_speech_prob": 0.0, "words": [{"start": 664.08, "end": 664.96, "word": "بساوي", "probability": 0.7237548828125}, {"start": 664.96, "end": 665.4, "word": " X", "probability": 0.455322265625}, {"start": 665.4, "end": 665.72, "word": " في", "probability": 0.7138671875}, {"start": 665.72, "end": 665.94, "word": " E", "probability": 0.7509765625}, {"start": 665.94, "end": 666.28, "word": " أس", "probability": 0.499755859375}, {"start": 666.28, "end": 666.58, "word": " X", "probability": 0.9814453125}, {"start": 666.58, "end": 667.02, "word": " minus", "probability": 0.3271484375}, {"start": 667.02, "end": 667.6, "word": " اتنين", "probability": 0.83526611328125}, {"start": 667.6, "end": 668.12, "word": " بساوي", "probability": 0.93896484375}, {"start": 668.12, "end": 668.46, "word": " سفر", "probability": 0.7609049479166666}, {"start": 668.46, "end": 669.64, "word": " وهو", "probability": 0.8583984375}, {"start": 669.64, "end": 670.14, "word": " المطلوب", "probability": 0.9757080078125}, {"start": 670.14, "end": 670.34, "word": " اذا", "probability": 0.43792724609375}, {"start": 670.34, "end": 670.58, "word": " هنا", "probability": 0.8759765625}, {"start": 670.58, "end": 671.18, "word": " اثبتنا", "probability": 0.91669921875}, {"start": 671.18, "end": 671.32, "word": " ان", "probability": 0.7958984375}, {"start": 671.32, "end": 671.72, "word": " فعلا", "probability": 0.826171875}, {"start": 671.72, "end": 673.38, "word": " المعادلة", "probability": 0.989501953125}, {"start": 673.38, "end": 673.94, "word": " هذه", "probability": 0.81298828125}, {"start": 673.94, "end": 676.36, "word": " لها", "probability": 0.56695556640625}, {"start": 676.36, "end": 676.98, "word": " جذر", "probability": 0.9625651041666666}, {"start": 676.98, "end": 678.04, "word": " في", "probability": 0.8037109375}, {"start": 678.04, "end": 678.58, "word": " الفترة", "probability": 0.97900390625}, {"start": 678.58, "end": 678.9, "word": " هذا", "probability": 0.70068359375}, {"start": 678.9, "end": 679.28, "word": " الجذر", "probability": 0.9851888020833334}, {"start": 679.28, "end": 679.7, "word": " يقع", "probability": 0.9777018229166666}, {"start": 679.7, "end": 680.22, "word": " هو", "probability": 0.869140625}, {"start": 680.22, "end": 680.52, "word": " عدد", "probability": 0.98828125}, {"start": 680.52, "end": 680.84, "word": " C", "probability": 0.79443359375}, {"start": 680.84, "end": 682.04, "word": " يقع", "probability": 0.9619140625}, {"start": 682.04, "end": 682.18, "word": " في", "probability": 0.931640625}, {"start": 682.18, "end": 682.72, "word": " الفترة", "probability": 0.9913736979166666}, {"start": 682.72, "end": 683.46, "word": " من", "probability": 0.98193359375}, {"start": 683.46, "end": 683.74, "word": " سفر", "probability": 0.7915852864583334}, {"start": 683.74, "end": 684.26, "word": " لوحده", "probability": 0.7081705729166666}, {"start": 684.26, "end": 684.66, "word": " عدد", "probability": 0.8819986979166666}, {"start": 684.66, "end": 684.84, "word": " من", "probability": 0.9384765625}, {"start": 684.84, "end": 685.3, "word": " سفر", "probability": 0.96337890625}, {"start": 685.3, "end": 685.94, "word": " لوحده", "probability": 0.8400065104166666}, {"start": 685.94, "end": 687.12, "word": " طبعا", "probability": 0.9654541015625}, {"start": 687.12, "end": 687.46, "word": " ممكن", "probability": 0.887451171875}, {"start": 687.46, "end": 687.74, "word": " هذا", "probability": 0.92236328125}, {"start": 687.74, "end": 688.18, "word": " العدد", "probability": 0.9544270833333334}, {"start": 688.18, "end": 688.5, "word": " C", "probability": 0.943359375}, {"start": 688.5, "end": 689.1, "word": " نعمله", "probability": 0.9095052083333334}, {"start": 689.1, "end": 690.52, "word": " تقريب", "probability": 0.994384765625}, {"start": 690.52, "end": 690.78, "word": " إلى", "probability": 0.326171875}, {"start": 690.78, "end": 691.38, "word": " أقرب", "probability": 0.8487955729166666}, {"start": 691.38, "end": 691.76, "word": " يعني", "probability": 0.923095703125}], "temperature": 1.0}, {"id": 26, "seek": 72317, "start": 693.75, "end": 723.17, "text": "بحيث يكون النسبة الخطأ من القيمة الحقيقية تبقى تكون أقل من واحد على ألف أو واحد على مية أو واحد على عشر ألف فالكتاب الموضح لكم هي هنا في المثال كيف نجيب تقريب نحصل العدد سيرة بحيث نطلع تقريبا قريب من القيمة الحقيقية والفرق بينها ومن القيمة الحقيقية واللي هنجيبها في المثال تكون أقل من واحد على ألف أوش زيها", "tokens": [3555, 5016, 1829, 12984, 7251, 30544, 28239, 35457, 3660, 33962, 9566, 10721, 9154, 25062, 32640, 3660, 21542, 38436, 4587, 10632, 6055, 3555, 4587, 7578, 6055, 30544, 5551, 4587, 1211, 9154, 36764, 24401, 15844, 5551, 46538, 34051, 36764, 24401, 15844, 3714, 10632, 34051, 36764, 24401, 15844, 6225, 46309, 5551, 46538, 6156, 6027, 4117, 2655, 16758, 9673, 2407, 11242, 5016, 5296, 24793, 39896, 34105, 8978, 9673, 12984, 6027, 9122, 33911, 8717, 7435, 1829, 3555, 6055, 4587, 16572, 3555, 8717, 5016, 36520, 18863, 3215, 3215, 8608, 48923, 4724, 5016, 1829, 12984, 8717, 9566, 1211, 3615, 6055, 4587, 16572, 3555, 995, 12174, 16572, 3555, 9154, 25062, 32640, 3660, 21542, 38436, 4587, 10632, 16070, 5172, 2288, 4587, 49374, 11296, 4032, 27842, 25062, 32640, 3660, 21542, 38436, 4587, 10632, 4032, 6027, 20292, 8032, 1863, 7435, 1829, 3555, 11296, 8978, 9673, 12984, 6027, 6055, 30544, 5551, 4587, 1211, 9154, 36764, 24401, 15844, 5551, 46538, 34051, 8592, 30767, 1829, 11296], "avg_logprob": -0.15492237938774955, "compression_ratio": 2.560185185185185, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 693.75, "end": 694.25, "word": "بحيث", "probability": 0.83123779296875}, {"start": 694.25, "end": 694.51, "word": " يكون", "probability": 0.57232666015625}, {"start": 694.51, "end": 694.95, "word": " النسبة", "probability": 0.8419596354166666}, {"start": 694.95, "end": 695.45, "word": " الخطأ", "probability": 0.9215494791666666}, {"start": 695.45, "end": 696.61, "word": " من", "probability": 0.919921875}, {"start": 696.61, "end": 697.05, "word": " القيمة", "probability": 0.9431966145833334}, {"start": 697.05, "end": 697.45, "word": " الحقيقية", "probability": 0.86376953125}, {"start": 697.45, "end": 697.69, "word": " تبقى", "probability": 0.69873046875}, {"start": 697.69, "end": 698.09, "word": " تكون", "probability": 0.889404296875}, {"start": 698.09, "end": 698.53, "word": " أقل", "probability": 0.82861328125}, {"start": 698.53, "end": 698.91, "word": " من", "probability": 0.99169921875}, {"start": 698.91, "end": 699.93, "word": " واحد", "probability": 0.9033203125}, {"start": 699.93, "end": 701.03, "word": " على", "probability": 0.7880859375}, {"start": 701.03, "end": 701.47, "word": " ألف", "probability": 0.767333984375}, {"start": 701.47, "end": 701.69, "word": " أو", "probability": 0.6962890625}, {"start": 701.69, "end": 701.99, "word": " واحد", "probability": 0.9677734375}, {"start": 701.99, "end": 702.15, "word": " على", "probability": 0.86572265625}, {"start": 702.15, "end": 702.57, "word": " مية", "probability": 0.83154296875}, {"start": 702.57, "end": 702.77, "word": " أو", "probability": 0.568359375}, {"start": 702.77, "end": 703.03, "word": " واحد", "probability": 0.95458984375}, {"start": 703.03, "end": 703.15, "word": " على", "probability": 0.890625}, {"start": 703.15, "end": 703.35, "word": " عشر", "probability": 0.8564453125}, {"start": 703.35, "end": 703.73, "word": " ألف", "probability": 0.66748046875}, {"start": 703.73, "end": 705.43, "word": " فالكتاب", "probability": 0.953515625}, {"start": 705.43, "end": 706.21, "word": " الموضح", "probability": 0.77899169921875}, {"start": 706.21, "end": 706.61, "word": " لكم", "probability": 0.839599609375}, {"start": 706.61, "end": 706.91, "word": " هي", "probability": 0.406494140625}, {"start": 706.91, "end": 707.19, "word": " هنا", "probability": 0.7666015625}, {"start": 707.19, "end": 707.39, "word": " في", "probability": 0.92724609375}, {"start": 707.39, "end": 707.91, "word": " المثال", "probability": 0.9842122395833334}, {"start": 707.91, "end": 708.85, "word": " كيف", "probability": 0.95068359375}, {"start": 708.85, "end": 709.29, "word": " نجيب", "probability": 0.9776611328125}, {"start": 709.29, "end": 710.05, "word": " تقريب", "probability": 0.9940185546875}, {"start": 710.05, "end": 711.19, "word": " نحصل", "probability": 0.9544270833333334}, {"start": 711.19, "end": 711.61, "word": " العدد", "probability": 0.94140625}, {"start": 711.61, "end": 711.95, "word": " سيرة", "probability": 0.4696044921875}, {"start": 711.95, "end": 712.35, "word": " بحيث", "probability": 0.980224609375}, {"start": 712.35, "end": 712.81, "word": " نطلع", "probability": 0.8482666015625}, {"start": 712.81, "end": 713.43, "word": " تقريبا", "probability": 0.98544921875}, {"start": 713.43, "end": 714.35, "word": " قريب", "probability": 0.9866536458333334}, {"start": 714.35, "end": 714.55, "word": " من", "probability": 0.9921875}, {"start": 714.55, "end": 715.11, "word": " القيمة", "probability": 0.98291015625}, {"start": 715.11, "end": 715.73, "word": " الحقيقية", "probability": 0.9781494140625}, {"start": 715.73, "end": 716.27, "word": " والفرق", "probability": 0.85589599609375}, {"start": 716.27, "end": 716.63, "word": " بينها", "probability": 0.8310546875}, {"start": 716.63, "end": 716.79, "word": " ومن", "probability": 0.74951171875}, {"start": 716.79, "end": 717.81, "word": " القيمة", "probability": 0.9454752604166666}, {"start": 717.81, "end": 718.19, "word": " الحقيقية", "probability": 0.9591064453125}, {"start": 718.19, "end": 718.41, "word": " واللي", "probability": 0.8006184895833334}, {"start": 718.41, "end": 718.93, "word": " هنجيبها", "probability": 0.960693359375}, {"start": 718.93, "end": 719.03, "word": " في", "probability": 0.919921875}, {"start": 719.03, "end": 719.53, "word": " المثال", "probability": 0.98828125}, {"start": 719.53, "end": 720.61, "word": " تكون", "probability": 0.907470703125}, {"start": 720.61, "end": 721.17, "word": " أقل", "probability": 0.87158203125}, {"start": 721.17, "end": 721.43, "word": " من", "probability": 0.99560546875}, {"start": 721.43, "end": 721.89, "word": " واحد", "probability": 0.990966796875}, {"start": 721.89, "end": 722.09, "word": " على", "probability": 0.93505859375}, {"start": 722.09, "end": 722.45, "word": " ألف", "probability": 0.9013671875}, {"start": 722.45, "end": 722.75, "word": " أوش", "probability": 0.6546630859375}, {"start": 722.75, "end": 723.17, "word": " زيها", "probability": 0.788818359375}], "temperature": 1.0}, {"id": 27, "seek": 75306, "start": 724.36, "end": 753.06, "text": "فممكن تقرأ و تشوف الكلام هذا في الكتاب لكن احنا اللي بهمنا ان ال equation هذه ضمننا انه في لها root في الفترة هذه حسب ال location of roots في الفترة الباقية كانت تخلي ال root هذا يعني تجيبله قيمة قريبة جدا من القيمة الحقيقية هذه مجرد يعني تفاصيل حسابية okay فحاولوا تقراوها من الكتاب لو سمحت", "tokens": [5172, 2304, 43020, 6055, 4587, 2288, 10721, 4032, 6055, 8592, 38688, 2423, 28820, 10943, 23758, 8978, 33251, 2655, 16758, 44381, 1975, 5016, 8315, 13672, 1829, 4724, 16095, 8315, 16472, 2423, 5367, 29538, 48812, 27842, 8315, 16472, 3224, 8978, 5296, 11296, 5593, 8978, 27188, 2655, 25720, 29538, 11331, 35457, 2423, 4914, 295, 10669, 8978, 27188, 2655, 25720, 29739, 995, 4587, 10632, 25961, 2655, 6055, 9778, 20292, 2423, 5593, 23758, 37495, 22653, 6055, 7435, 1829, 3555, 43761, 12174, 32640, 3660, 12174, 16572, 49401, 10874, 28259, 9154, 25062, 32640, 3660, 21542, 38436, 4587, 10632, 29538, 3714, 7435, 2288, 3215, 37495, 22653, 6055, 5172, 33546, 26895, 11331, 3794, 16758, 10632, 1392, 6156, 5016, 995, 12610, 14407, 6055, 4587, 23557, 2407, 11296, 9154, 33251, 2655, 16758, 45164, 8608, 2304, 33753], "avg_logprob": -0.26041665484034826, "compression_ratio": 1.91796875, "no_speech_prob": 0.0, "words": [{"start": 724.36, "end": 724.8, "word": "فممكن", "probability": 0.5526529947916666}, {"start": 724.8, "end": 725.24, "word": " تقرأ", "probability": 0.7852783203125}, {"start": 725.24, "end": 725.36, "word": " و", "probability": 0.3740234375}, {"start": 725.36, "end": 725.6, "word": " تشوف", "probability": 0.9861653645833334}, {"start": 725.6, "end": 726.06, "word": " الكلام", "probability": 0.8736979166666666}, {"start": 726.06, "end": 726.42, "word": " هذا", "probability": 0.8876953125}, {"start": 726.42, "end": 727.26, "word": " في", "probability": 0.625}, {"start": 727.26, "end": 727.68, "word": " الكتاب", "probability": 0.9772135416666666}, {"start": 727.68, "end": 729.02, "word": " لكن", "probability": 0.71044921875}, {"start": 729.02, "end": 729.26, "word": " احنا", "probability": 0.9326171875}, {"start": 729.26, "end": 729.38, "word": " اللي", "probability": 0.897705078125}, {"start": 729.38, "end": 729.76, "word": " بهمنا", "probability": 0.8935546875}, {"start": 729.76, "end": 729.96, "word": " ان", "probability": 0.7470703125}, {"start": 729.96, "end": 730.46, "word": " ال", "probability": 0.6787109375}, {"start": 730.46, "end": 731.18, "word": " equation", "probability": 0.95068359375}, {"start": 731.18, "end": 731.7, "word": " هذه", "probability": 0.48583984375}, {"start": 731.7, "end": 733.44, "word": " ضمننا", "probability": 0.7337239583333334}, {"start": 733.44, "end": 733.74, "word": " انه", "probability": 0.6279296875}, {"start": 733.74, "end": 733.9, "word": " في", "probability": 0.89599609375}, {"start": 733.9, "end": 734.38, "word": " لها", "probability": 0.583251953125}, {"start": 734.38, "end": 734.7, "word": " root", "probability": 0.38525390625}, {"start": 734.7, "end": 734.94, "word": " في", "probability": 0.84228515625}, {"start": 734.94, "end": 735.46, "word": " الفترة", "probability": 0.98974609375}, {"start": 735.46, "end": 735.78, "word": " هذه", "probability": 0.452392578125}, {"start": 735.78, "end": 736.32, "word": " حسب", "probability": 0.901611328125}, {"start": 736.32, "end": 736.52, "word": " ال", "probability": 0.44189453125}, {"start": 736.52, "end": 736.88, "word": " location", "probability": 0.92431640625}, {"start": 736.88, "end": 737.1, "word": " of", "probability": 0.89697265625}, {"start": 737.1, "end": 737.36, "word": " roots", "probability": 0.449462890625}, {"start": 737.36, "end": 737.58, "word": " في", "probability": 0.432373046875}, {"start": 737.58, "end": 737.76, "word": " الفترة", "probability": 0.765625}, {"start": 737.76, "end": 738.74, "word": " الباقية", "probability": 0.5719757080078125}, {"start": 738.74, "end": 739.06, "word": " كانت", "probability": 0.6658935546875}, {"start": 739.06, "end": 740.08, "word": " تخلي", "probability": 0.4891764322916667}, {"start": 740.08, "end": 740.38, "word": " ال", "probability": 0.96826171875}, {"start": 740.38, "end": 741.34, "word": " root", "probability": 0.441162109375}, {"start": 741.34, "end": 741.58, "word": " هذا", "probability": 0.76171875}, {"start": 741.58, "end": 742.06, "word": " يعني", "probability": 0.815185546875}, {"start": 742.06, "end": 742.58, "word": " تجيبله", "probability": 0.841796875}, {"start": 742.58, "end": 743.2, "word": " قيمة", "probability": 0.7117513020833334}, {"start": 743.2, "end": 743.64, "word": " قريبة", "probability": 0.9881184895833334}, {"start": 743.64, "end": 744.52, "word": " جدا", "probability": 0.9912109375}, {"start": 744.52, "end": 744.8, "word": " من", "probability": 0.98681640625}, {"start": 744.8, "end": 745.4, "word": " القيمة", "probability": 0.9596354166666666}, {"start": 745.4, "end": 746.0, "word": " الحقيقية", "probability": 0.944580078125}, {"start": 746.0, "end": 746.62, "word": " هذه", "probability": 0.3486328125}, {"start": 746.62, "end": 747.16, "word": " مجرد", "probability": 0.9912109375}, {"start": 747.16, "end": 747.5, "word": " يعني", "probability": 0.91455078125}, {"start": 747.5, "end": 748.76, "word": " تفاصيل", "probability": 0.99072265625}, {"start": 748.76, "end": 750.02, "word": " حسابية", "probability": 0.989990234375}, {"start": 750.02, "end": 750.56, "word": " okay", "probability": 0.5302734375}, {"start": 750.56, "end": 751.5, "word": " فحاولوا", "probability": 0.96328125}, {"start": 751.5, "end": 751.94, "word": " تقراوها", "probability": 0.89052734375}, {"start": 751.94, "end": 752.08, "word": " من", "probability": 0.98876953125}, {"start": 752.08, "end": 752.48, "word": " الكتاب", "probability": 0.9884440104166666}, {"start": 752.48, "end": 752.66, "word": " لو", "probability": 0.96044921875}, {"start": 752.66, "end": 753.06, "word": " سمحت", "probability": 0.96484375}], "temperature": 1.0}, {"id": 28, "seek": 77714, "start": 755.32, "end": 777.14, "text": "الان هذه النظرية بتقود الى نظرية تانية وهي Bolzano's intermediate", "tokens": [6027, 7649, 29538, 28239, 19913, 2288, 10632, 39894, 4587, 23328, 2423, 7578, 8717, 19913, 2288, 10632, 6055, 7649, 10632, 37037, 1829, 14331, 89, 3730, 311, 19376], "avg_logprob": -0.1743344885331613, "compression_ratio": 1.098901098901099, "no_speech_prob": 0.0, "words": [{"start": 755.32, "end": 755.94, "word": "الان", "probability": 0.852294921875}, {"start": 755.94, "end": 756.32, "word": " هذه", "probability": 0.86083984375}, {"start": 756.32, "end": 756.96, "word": " النظرية", "probability": 0.957275390625}, {"start": 756.96, "end": 757.8, "word": " بتقود", "probability": 0.97021484375}, {"start": 757.8, "end": 759.24, "word": " الى", "probability": 0.747314453125}, {"start": 759.24, "end": 759.72, "word": " نظرية", "probability": 0.9920654296875}, {"start": 759.72, "end": 761.4, "word": " تانية", "probability": 0.9930013020833334}, {"start": 761.4, "end": 767.54, "word": " وهي", "probability": 0.57470703125}, {"start": 767.54, "end": 775.38, "word": " Bolzano's", "probability": 0.712646484375}, {"start": 775.38, "end": 777.14, "word": " intermediate", "probability": 0.896484375}], "temperature": 1.0}, {"id": 29, "seek": 80921, "start": 784.99, "end": 809.21, "text": "value theorem let I be any interval", "tokens": [29155, 20904, 718, 286, 312, 604, 15035], "avg_logprob": -0.41357421875, "compression_ratio": 0.813953488372093, "no_speech_prob": 0.0, "words": [{"start": 784.99, "end": 785.59, "word": "value", "probability": 0.416015625}, {"start": 785.59, "end": 786.13, "word": " theorem", "probability": 0.9130859375}, {"start": 786.13, "end": 805.73, "word": " let", "probability": 0.26171875}, {"start": 805.73, "end": 807.03, "word": " I", "probability": 0.7431640625}, {"start": 807.03, "end": 808.19, "word": " be", "probability": 0.71435546875}, {"start": 808.19, "end": 808.61, "word": " any", "probability": 0.90283203125}, {"start": 808.61, "end": 809.21, "word": " interval", "probability": 0.9833984375}], "temperature": 1.0}, {"id": 30, "seek": 84083, "start": 816.87, "end": 840.83, "text": "and if from I to R be continuous على الفترة I إذا كان A و B أعداد في الفترة I and", "tokens": [474, 498, 490, 286, 281, 497, 312, 10957, 15844, 27188, 2655, 25720, 286, 11933, 15730, 25961, 316, 4032, 363, 5551, 22488, 18513, 8978, 27188, 2655, 25720, 286, 293], "avg_logprob": -0.21039870278588657, "compression_ratio": 1.0891089108910892, "no_speech_prob": 0.0, "words": [{"start": 816.87, "end": 817.59, "word": "and", "probability": 0.404296875}, {"start": 817.59, "end": 818.57, "word": " if", "probability": 0.9072265625}, {"start": 818.57, "end": 820.71, "word": " from", "probability": 0.880859375}, {"start": 820.71, "end": 821.21, "word": " I", "probability": 0.79638671875}, {"start": 821.21, "end": 821.53, "word": " to", "probability": 0.98046875}, {"start": 821.53, "end": 822.09, "word": " R", "probability": 0.982421875}, {"start": 822.09, "end": 824.53, "word": " be", "probability": 0.376953125}, {"start": 824.53, "end": 825.65, "word": " continuous", "probability": 0.900390625}, {"start": 825.65, "end": 830.31, "word": " على", "probability": 0.34619140625}, {"start": 830.31, "end": 831.33, "word": " الفترة", "probability": 0.9881184895833334}, {"start": 831.33, "end": 831.95, "word": " I", "probability": 0.982421875}, {"start": 831.95, "end": 834.53, "word": " إذا", "probability": 0.8271484375}, {"start": 834.53, "end": 835.11, "word": " كان", "probability": 0.99169921875}, {"start": 835.11, "end": 836.33, "word": " A", "probability": 0.78515625}, {"start": 836.33, "end": 836.59, "word": " و", "probability": 0.95703125}, {"start": 836.59, "end": 836.93, "word": " B", "probability": 0.335205078125}, {"start": 836.93, "end": 838.13, "word": " أعداد", "probability": 0.9225260416666666}, {"start": 838.13, "end": 838.31, "word": " في", "probability": 0.8720703125}, {"start": 838.31, "end": 838.83, "word": " الفترة", "probability": 0.9920247395833334}, {"start": 838.83, "end": 839.17, "word": " I", "probability": 0.9970703125}, {"start": 839.17, "end": 840.83, "word": " and", "probability": 0.94189453125}], "temperature": 1.0}, {"id": 31, "seek": 87201, "start": 843.83, "end": 872.01, "text": "K عدد حقيقي such that F of A أصغر من K أصغر من F of B then النتيجة أنه يوجد C ينتمي للفترة I وهذا العدد C يقع بين", "tokens": [42, 6225, 3215, 3215, 11331, 38436, 38436, 1270, 300, 479, 295, 316, 5551, 9381, 17082, 2288, 9154, 591, 5551, 9381, 17082, 2288, 9154, 479, 295, 363, 550, 28239, 31371, 7435, 3660, 14739, 3224, 7251, 29245, 3215, 383, 7251, 29399, 2304, 1829, 24976, 5172, 2655, 25720, 286, 37037, 15730, 18863, 3215, 3215, 383, 7251, 4587, 3615, 49374], "avg_logprob": -0.15241228488453648, "compression_ratio": 1.2627737226277371, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 843.83, "end": 844.31, "word": "K", "probability": 0.1829833984375}, {"start": 844.31, "end": 845.49, "word": " عدد", "probability": 0.9191080729166666}, {"start": 845.49, "end": 846.73, "word": " حقيقي", "probability": 0.9812825520833334}, {"start": 846.73, "end": 848.43, "word": " such", "probability": 0.5615234375}, {"start": 848.43, "end": 849.01, "word": " that", "probability": 0.95654296875}, {"start": 849.01, "end": 851.33, "word": " F", "probability": 0.41357421875}, {"start": 851.33, "end": 851.67, "word": " of", "probability": 0.64306640625}, {"start": 851.67, "end": 852.23, "word": " A", "probability": 0.8701171875}, {"start": 852.23, "end": 853.33, "word": " أصغر", "probability": 0.9525146484375}, {"start": 853.33, "end": 853.61, "word": " من", "probability": 0.98779296875}, {"start": 853.61, "end": 854.17, "word": " K", "probability": 0.90771484375}, {"start": 854.17, "end": 855.47, "word": " أصغر", "probability": 0.985107421875}, {"start": 855.47, "end": 855.73, "word": " من", "probability": 0.99560546875}, {"start": 855.73, "end": 856.17, "word": " F", "probability": 0.982421875}, {"start": 856.17, "end": 856.53, "word": " of", "probability": 0.97119140625}, {"start": 856.53, "end": 857.01, "word": " B", "probability": 0.93896484375}, {"start": 857.01, "end": 860.15, "word": " then", "probability": 0.49609375}, {"start": 860.15, "end": 861.17, "word": " النتيجة", "probability": 0.934326171875}, {"start": 861.17, "end": 861.65, "word": " أنه", "probability": 0.55615234375}, {"start": 861.65, "end": 863.03, "word": " يوجد", "probability": 0.9733072916666666}, {"start": 863.03, "end": 864.29, "word": " C", "probability": 0.69677734375}, {"start": 864.29, "end": 865.51, "word": " ينتمي", "probability": 0.97705078125}, {"start": 865.51, "end": 866.33, "word": " للفترة", "probability": 0.954345703125}, {"start": 866.33, "end": 866.93, "word": " I", "probability": 0.95361328125}, {"start": 866.93, "end": 868.49, "word": " وهذا", "probability": 0.8251953125}, {"start": 868.49, "end": 869.05, "word": " العدد", "probability": 0.931640625}, {"start": 869.05, "end": 869.57, "word": " C", "probability": 0.81982421875}, {"start": 869.57, "end": 871.61, "word": " يقع", "probability": 0.9046223958333334}, {"start": 871.61, "end": 872.01, "word": " بين", "probability": 0.88623046875}], "temperature": 1.0}, {"id": 32, "seek": 89874, "start": 878.34, "end": 898.74, "text": "between a and b such that بحيث ان f and c تطلع بالساوية قيمة k لنعمل رسمة قبل أن أظهر المظهر", "tokens": [32387, 257, 293, 272, 1270, 300, 4724, 5016, 1829, 12984, 16472, 283, 293, 269, 6055, 9566, 1211, 3615, 20666, 3794, 995, 2407, 10632, 12174, 32640, 3660, 350, 5296, 1863, 25957, 1211, 12602, 38251, 3660, 12174, 36150, 14739, 5551, 19913, 3224, 2288, 9673, 19913, 3224, 2288], "avg_logprob": -0.4245924042618793, "compression_ratio": 1.1794871794871795, "no_speech_prob": 0.0, "words": [{"start": 878.34, "end": 878.9, "word": "between", "probability": 0.462646484375}, {"start": 878.9, "end": 879.66, "word": " a", "probability": 0.60595703125}, {"start": 879.66, "end": 880.26, "word": " and", "probability": 0.9287109375}, {"start": 880.26, "end": 880.94, "word": " b", "probability": 0.9765625}, {"start": 880.94, "end": 882.58, "word": " such", "probability": 0.8701171875}, {"start": 882.58, "end": 883.04, "word": " that", "probability": 0.95458984375}, {"start": 883.04, "end": 883.58, "word": " بحيث", "probability": 0.8238525390625}, {"start": 883.58, "end": 883.78, "word": " ان", "probability": 0.58740234375}, {"start": 883.78, "end": 884.18, "word": " f", "probability": 0.5810546875}, {"start": 884.18, "end": 885.64, "word": " and", "probability": 0.93798828125}, {"start": 885.64, "end": 886.34, "word": " c", "probability": 0.955078125}, {"start": 886.34, "end": 888.28, "word": " تطلع", "probability": 0.91162109375}, {"start": 888.28, "end": 888.84, "word": " بالساوية", "probability": 0.677490234375}, {"start": 888.84, "end": 889.3, "word": " قيمة", "probability": 0.713134765625}, {"start": 889.3, "end": 889.88, "word": " k", "probability": 0.572265625}, {"start": 889.88, "end": 896.72, "word": " لنعمل", "probability": 0.5949478149414062}, {"start": 896.72, "end": 897.38, "word": " رسمة", "probability": 0.92333984375}, {"start": 897.38, "end": 897.82, "word": " قبل", "probability": 0.7259521484375}, {"start": 897.82, "end": 898.02, "word": " أن", "probability": 0.41796875}, {"start": 898.02, "end": 898.32, "word": " أظهر", "probability": 0.6358795166015625}, {"start": 898.32, "end": 898.74, "word": " المظهر", "probability": 0.6773681640625}], "temperature": 1.0}, {"id": 33, "seek": 94332, "start": 917.56, "end": 943.32, "text": "فممكن يكون في عندي function زي هذه مثلا فهي في عندي فترة I ال dialer معرفة و متصل عليها", "tokens": [5172, 2304, 43020, 7251, 30544, 8978, 18871, 16254, 2445, 30767, 1829, 29538, 50113, 15040, 6156, 3224, 1829, 8978, 18871, 16254, 6156, 2655, 25720, 286, 2423, 5502, 260, 20449, 28480, 3660, 4032, 44650, 36520, 25894, 11296], "avg_logprob": -0.3370225760671828, "compression_ratio": 1.194915254237288, "no_speech_prob": 0.0, "words": [{"start": 917.5600000000001, "end": 918.32, "word": "فممكن", "probability": 0.5165608723958334}, {"start": 918.32, "end": 918.64, "word": " يكون", "probability": 0.882080078125}, {"start": 918.64, "end": 918.82, "word": " في", "probability": 0.382568359375}, {"start": 918.82, "end": 919.1, "word": " عندي", "probability": 0.751220703125}, {"start": 919.1, "end": 919.48, "word": " function", "probability": 0.603515625}, {"start": 919.48, "end": 919.86, "word": " زي", "probability": 0.803955078125}, {"start": 919.86, "end": 920.12, "word": " هذه", "probability": 0.86083984375}, {"start": 920.12, "end": 920.6, "word": " مثلا", "probability": 0.93505859375}, {"start": 920.6, "end": 937.28, "word": " فهي", "probability": 0.5458984375}, {"start": 937.28, "end": 937.42, "word": " في", "probability": 0.95361328125}, {"start": 937.42, "end": 937.72, "word": " عندي", "probability": 0.942138671875}, {"start": 937.72, "end": 938.32, "word": " فترة", "probability": 0.9923502604166666}, {"start": 938.32, "end": 939.0, "word": " I", "probability": 0.7421875}, {"start": 939.0, "end": 941.1, "word": " ال", "probability": 0.337890625}, {"start": 941.1, "end": 941.42, "word": " dialer", "probability": 0.3966064453125}, {"start": 941.42, "end": 942.06, "word": " معرفة", "probability": 0.9163411458333334}, {"start": 942.06, "end": 942.18, "word": " و", "probability": 0.97314453125}, {"start": 942.18, "end": 942.7, "word": " متصل", "probability": 0.8125}, {"start": 942.7, "end": 943.32, "word": " عليها", "probability": 0.9755859375}], "temperature": 1.0}, {"id": 34, "seek": 97143, "start": 945.81, "end": 971.43, "text": "يعني هذه الفترة من هنا إلى هنا I وممكن يكون في عندي أعداد A وB فممكن يكون مثلا هذه ال A وهذه ال B فهذه F of A فهذه F of A", "tokens": [40228, 22653, 29538, 27188, 2655, 25720, 9154, 34105, 30731, 34105, 286, 4032, 2304, 43020, 7251, 30544, 8978, 18871, 16254, 5551, 22488, 18513, 316, 4032, 33, 6156, 2304, 43020, 7251, 30544, 50113, 15040, 29538, 2423, 316, 37037, 24192, 2423, 363, 6156, 3224, 24192, 479, 295, 316, 6156, 3224, 24192, 479, 295, 316], "avg_logprob": -0.2366286049095484, "compression_ratio": 1.65, "no_speech_prob": 0.0, "words": [{"start": 945.81, "end": 946.19, "word": "يعني", "probability": 0.6337890625}, {"start": 946.19, "end": 946.53, "word": " هذه", "probability": 0.78955078125}, {"start": 946.53, "end": 947.45, "word": " الفترة", "probability": 0.9638671875}, {"start": 947.45, "end": 948.89, "word": " من", "probability": 0.71533203125}, {"start": 948.89, "end": 949.11, "word": " هنا", "probability": 0.9736328125}, {"start": 949.11, "end": 949.23, "word": " إلى", "probability": 0.64697265625}, {"start": 949.23, "end": 949.45, "word": " هنا", "probability": 0.97998046875}, {"start": 949.45, "end": 949.91, "word": " I", "probability": 0.5302734375}, {"start": 949.91, "end": 951.57, "word": " وممكن", "probability": 0.7600911458333334}, {"start": 951.57, "end": 951.91, "word": " يكون", "probability": 0.970458984375}, {"start": 951.91, "end": 952.11, "word": " في", "probability": 0.548828125}, {"start": 952.11, "end": 952.39, "word": " عندي", "probability": 0.71533203125}, {"start": 952.39, "end": 953.07, "word": " أعداد", "probability": 0.9249674479166666}, {"start": 953.07, "end": 953.35, "word": " A", "probability": 0.87451171875}, {"start": 953.35, "end": 953.87, "word": " وB", "probability": 0.78857421875}, {"start": 953.87, "end": 955.71, "word": " فممكن", "probability": 0.9435221354166666}, {"start": 955.71, "end": 956.05, "word": " يكون", "probability": 0.97802734375}, {"start": 956.05, "end": 956.41, "word": " مثلا", "probability": 0.974853515625}, {"start": 956.41, "end": 956.69, "word": " هذه", "probability": 0.56103515625}, {"start": 956.69, "end": 956.99, "word": " ال", "probability": 0.80859375}, {"start": 956.99, "end": 957.29, "word": " A", "probability": 0.79150390625}, {"start": 957.29, "end": 959.07, "word": " وهذه", "probability": 0.635986328125}, {"start": 959.07, "end": 959.21, "word": " ال", "probability": 0.9482421875}, {"start": 959.21, "end": 959.51, "word": " B", "probability": 0.974609375}, {"start": 959.51, "end": 964.63, "word": " فهذه", "probability": 0.9020182291666666}, {"start": 964.63, "end": 965.41, "word": " F", "probability": 0.323486328125}, {"start": 965.41, "end": 965.71, "word": " of", "probability": 0.69482421875}, {"start": 965.71, "end": 966.07, "word": " A", "probability": 0.98876953125}, {"start": 966.07, "end": 970.45, "word": " فهذه", "probability": 0.73046875}, {"start": 970.45, "end": 970.79, "word": " F", "probability": 0.9443359375}, {"start": 970.79, "end": 971.05, "word": " of", "probability": 0.876953125}, {"start": 971.05, "end": 971.43, "word": " A", "probability": 0.99462890625}], "temperature": 1.0}, {"id": 35, "seek": 99509, "start": 976.61, "end": 995.09, "text": "وهي F of B فلو كان K عدد بين F of A و F of B فهي F of B وهي F of A", "tokens": [2407, 3224, 1829, 479, 295, 363, 6156, 1211, 2407, 25961, 591, 6225, 3215, 3215, 49374, 479, 295, 316, 4032, 479, 295, 363, 6156, 3224, 1829, 479, 295, 363, 37037, 1829, 479, 295, 316], "avg_logprob": -0.2417279420530095, "compression_ratio": 1.3333333333333333, "no_speech_prob": 0.0, "words": [{"start": 976.61, "end": 977.21, "word": "وهي", "probability": 0.4124348958333333}, {"start": 977.21, "end": 977.55, "word": " F", "probability": 0.402587890625}, {"start": 977.55, "end": 977.81, "word": " of", "probability": 0.5263671875}, {"start": 977.81, "end": 978.09, "word": " B", "probability": 0.93408203125}, {"start": 978.09, "end": 982.07, "word": " فلو", "probability": 0.9309895833333334}, {"start": 982.07, "end": 985.29, "word": " كان", "probability": 0.58984375}, {"start": 985.29, "end": 985.69, "word": " K", "probability": 0.68408203125}, {"start": 985.69, "end": 986.27, "word": " عدد", "probability": 0.9563802083333334}, {"start": 986.27, "end": 986.59, "word": " بين", "probability": 0.779296875}, {"start": 986.59, "end": 986.91, "word": " F", "probability": 0.96142578125}, {"start": 986.91, "end": 987.17, "word": " of", "probability": 0.94677734375}, {"start": 987.17, "end": 987.49, "word": " A", "probability": 0.99365234375}, {"start": 987.49, "end": 988.25, "word": " و", "probability": 0.97119140625}, {"start": 988.25, "end": 988.55, "word": " F", "probability": 0.67724609375}, {"start": 988.55, "end": 988.73, "word": " of", "probability": 0.98388671875}, {"start": 988.73, "end": 989.13, "word": " B", "probability": 0.9951171875}, {"start": 989.13, "end": 991.05, "word": " فهي", "probability": 0.7442220052083334}, {"start": 991.05, "end": 991.31, "word": " F", "probability": 0.9306640625}, {"start": 991.31, "end": 991.53, "word": " of", "probability": 0.9716796875}, {"start": 991.53, "end": 991.89, "word": " B", "probability": 0.98291015625}, {"start": 991.89, "end": 994.33, "word": " وهي", "probability": 0.7464599609375}, {"start": 994.33, "end": 994.57, "word": " F", "probability": 0.98974609375}, {"start": 994.57, "end": 994.79, "word": " of", "probability": 0.98486328125}, {"start": 994.79, "end": 995.09, "word": " A", "probability": 0.99169921875}], "temperature": 1.0}, {"id": 36, "seek": 101396, "start": 997.68, "end": 1013.96, "text": "ف K عدد بين F of A و F of B فلهذا العدد نقدر نلاقي C عدد C عدد C بين A و B وبالتالي ينتمي للفترة I", "tokens": [5172, 591, 6225, 3215, 3215, 49374, 479, 295, 316, 4032, 479, 295, 363, 6156, 43761, 15730, 18863, 3215, 3215, 8717, 28543, 2288, 8717, 15040, 38436, 383, 6225, 3215, 3215, 383, 6225, 3215, 3215, 383, 49374, 316, 4032, 363, 46599, 6027, 2655, 6027, 1829, 7251, 29399, 2304, 1829, 24976, 5172, 2655, 25720, 286], "avg_logprob": -0.21830778976656356, "compression_ratio": 1.4259259259259258, "no_speech_prob": 0.0, "words": [{"start": 997.68, "end": 997.92, "word": "ف", "probability": 0.287841796875}, {"start": 997.92, "end": 998.18, "word": " K", "probability": 0.280029296875}, {"start": 998.18, "end": 998.64, "word": " عدد", "probability": 0.9532877604166666}, {"start": 998.64, "end": 999.32, "word": " بين", "probability": 0.7763671875}, {"start": 999.32, "end": 999.62, "word": " F", "probability": 0.56591796875}, {"start": 999.62, "end": 999.82, "word": " of", "probability": 0.65234375}, {"start": 999.82, "end": 999.94, "word": " A", "probability": 0.9580078125}, {"start": 999.94, "end": 1000.04, "word": " و", "probability": 0.9541015625}, {"start": 1000.04, "end": 1000.22, "word": " F", "probability": 0.75830078125}, {"start": 1000.22, "end": 1000.36, "word": " of", "probability": 0.9775390625}, {"start": 1000.36, "end": 1000.66, "word": " B", "probability": 0.99169921875}, {"start": 1000.66, "end": 1001.82, "word": " فلهذا", "probability": 0.7649739583333334}, {"start": 1001.82, "end": 1002.68, "word": " العدد", "probability": 0.9676106770833334}, {"start": 1002.68, "end": 1003.9, "word": " نقدر", "probability": 0.6313883463541666}, {"start": 1003.9, "end": 1004.5, "word": " نلاقي", "probability": 0.9265950520833334}, {"start": 1004.5, "end": 1005.22, "word": " C", "probability": 0.77783203125}, {"start": 1005.22, "end": 1005.76, "word": " عدد", "probability": 0.9791666666666666}, {"start": 1005.76, "end": 1006.14, "word": " C", "probability": 0.87548828125}, {"start": 1006.14, "end": 1009.42, "word": " عدد", "probability": 0.7260335286458334}, {"start": 1009.42, "end": 1009.7, "word": " C", "probability": 0.93017578125}, {"start": 1009.7, "end": 1010.12, "word": " بين", "probability": 0.93408203125}, {"start": 1010.12, "end": 1010.4, "word": " A", "probability": 0.96630859375}, {"start": 1010.4, "end": 1010.52, "word": " و", "probability": 0.93212890625}, {"start": 1010.52, "end": 1010.88, "word": " B", "probability": 0.6220703125}, {"start": 1010.88, "end": 1012.58, "word": " وبالتالي", "probability": 0.9052734375}, {"start": 1012.58, "end": 1013.06, "word": " ينتمي", "probability": 0.95703125}, {"start": 1013.06, "end": 1013.64, "word": " للفترة", "probability": 0.9151611328125}, {"start": 1013.64, "end": 1013.96, "word": " I", "probability": 0.962890625}], "temperature": 1.0}, {"id": 37, "seek": 104388, "start": 1017.56, "end": 1043.88, "text": "إذا C بين A وB وينتمي للفترة I بحيث إن صورة C هي صورة الـ C بساوي العدد P هذا هو بولزانو intermediate value theorem نظرية القيمة الوسيطية نظرية القيمة الوسيطية لبولزانو مرهانة نظرية هذه مش صعبة سهل", "tokens": [28814, 15730, 383, 49374, 316, 4032, 33, 4032, 9957, 39237, 1829, 24976, 5172, 2655, 25720, 286, 4724, 5016, 1829, 12984, 36145, 20328, 13063, 3660, 383, 39896, 20328, 13063, 3660, 2423, 39184, 383, 4724, 3794, 995, 45865, 18863, 3215, 3215, 430, 23758, 31439, 4724, 12610, 11622, 7649, 2407, 19376, 2158, 20904, 8717, 19913, 2288, 10632, 25062, 32640, 3660, 2423, 41779, 1829, 9566, 10632, 8717, 19913, 2288, 10632, 25062, 32640, 3660, 2423, 41779, 1829, 9566, 10632, 5296, 3555, 12610, 11622, 7649, 2407, 3714, 2288, 3224, 7649, 3660, 8717, 19913, 2288, 10632, 29538, 37893, 20328, 3615, 49401, 8608, 3224, 1211], "avg_logprob": -0.25079720421713225, "compression_ratio": 1.7157894736842105, "no_speech_prob": 0.0, "words": [{"start": 1017.56, "end": 1017.86, "word": "إذا", "probability": 0.51141357421875}, {"start": 1017.86, "end": 1018.28, "word": " C", "probability": 0.355712890625}, {"start": 1018.28, "end": 1018.62, "word": " بين", "probability": 0.5556640625}, {"start": 1018.62, "end": 1018.88, "word": " A", "probability": 0.95556640625}, {"start": 1018.88, "end": 1019.26, "word": " وB", "probability": 0.7529296875}, {"start": 1019.26, "end": 1019.9, "word": " وينتمي", "probability": 0.8868408203125}, {"start": 1019.9, "end": 1020.4, "word": " للفترة", "probability": 0.9176025390625}, {"start": 1020.4, "end": 1020.8, "word": " I", "probability": 0.9638671875}, {"start": 1020.8, "end": 1021.94, "word": " بحيث", "probability": 0.954833984375}, {"start": 1021.94, "end": 1022.14, "word": " إن", "probability": 0.40283203125}, {"start": 1022.14, "end": 1022.8, "word": " صورة", "probability": 0.9837239583333334}, {"start": 1022.8, "end": 1026.76, "word": " C", "probability": 0.44287109375}, {"start": 1026.76, "end": 1027.4, "word": " هي", "probability": 0.1759033203125}, {"start": 1027.4, "end": 1027.96, "word": " صورة", "probability": 0.9710286458333334}, {"start": 1027.96, "end": 1028.22, "word": " الـ", "probability": 0.45953369140625}, {"start": 1028.22, "end": 1028.32, "word": " C", "probability": 0.66455078125}, {"start": 1028.32, "end": 1028.94, "word": " بساوي", "probability": 0.7734375}, {"start": 1028.94, "end": 1029.4, "word": " العدد", "probability": 0.8483072916666666}, {"start": 1029.4, "end": 1029.7, "word": " P", "probability": 0.53759765625}, {"start": 1029.7, "end": 1031.32, "word": " هذا", "probability": 0.15625}, {"start": 1031.32, "end": 1031.64, "word": " هو", "probability": 0.41015625}, {"start": 1031.64, "end": 1032.38, "word": " بولزانو", "probability": 0.800634765625}, {"start": 1032.38, "end": 1033.74, "word": " intermediate", "probability": 0.4462890625}, {"start": 1033.74, "end": 1034.3, "word": " value", "probability": 0.9677734375}, {"start": 1034.3, "end": 1034.6, "word": " theorem", "probability": 0.83447265625}, {"start": 1034.6, "end": 1035.22, "word": " نظرية", "probability": 0.9183349609375}, {"start": 1035.22, "end": 1035.86, "word": " القيمة", "probability": 0.9420572916666666}, {"start": 1035.86, "end": 1036.56, "word": " الوسيطية", "probability": 0.90458984375}, {"start": 1036.56, "end": 1037.46, "word": " نظرية", "probability": 0.874755859375}, {"start": 1037.46, "end": 1037.88, "word": " القيمة", "probability": 0.9573567708333334}, {"start": 1037.88, "end": 1038.6, "word": " الوسيطية", "probability": 0.99267578125}, {"start": 1038.6, "end": 1040.4, "word": " لبولزانو", "probability": 0.93798828125}, {"start": 1040.4, "end": 1041.62, "word": " مرهانة", "probability": 0.694921875}, {"start": 1041.62, "end": 1042.04, "word": " نظرية", "probability": 0.89306640625}, {"start": 1042.04, "end": 1042.34, "word": " هذه", "probability": 0.91259765625}, {"start": 1042.34, "end": 1042.74, "word": " مش", "probability": 0.71337890625}, {"start": 1042.74, "end": 1043.3, "word": " صعبة", "probability": 0.966796875}, {"start": 1043.3, "end": 1043.88, "word": " سهل", "probability": 0.7942708333333334}], "temperature": 1.0}, {"id": 38, "seek": 107874, "start": 1063.34, "end": 1078.74, "text": "Proof البرهان بعتمد على ال maximum minimum theorem وعلى اللي هو location of roads theorem ففي عندي هنا حلتين لاحظوا أن a و b أعداد دراوي", "tokens": [12681, 2670, 2423, 26890, 3224, 7649, 4724, 34268, 2304, 3215, 15844, 2423, 6674, 7285, 20904, 4032, 3615, 23942, 13672, 1829, 31439, 4914, 295, 11344, 20904, 6156, 41185, 18871, 16254, 34105, 11331, 1211, 2655, 9957, 20193, 5016, 19913, 14407, 14739, 257, 4032, 272, 5551, 22488, 18513, 11778, 23557, 45865], "avg_logprob": -0.3810586832007583, "compression_ratio": 1.3221476510067114, "no_speech_prob": 0.0, "words": [{"start": 1063.34, "end": 1064.24, "word": "Proof", "probability": 0.538116455078125}, {"start": 1064.24, "end": 1065.14, "word": " البرهان", "probability": 0.883544921875}, {"start": 1065.14, "end": 1065.8, "word": " بعتمد", "probability": 0.75994873046875}, {"start": 1065.8, "end": 1066.2, "word": " على", "probability": 0.8310546875}, {"start": 1066.2, "end": 1066.6, "word": " ال", "probability": 0.599609375}, {"start": 1066.6, "end": 1067.04, "word": " maximum", "probability": 0.763671875}, {"start": 1067.04, "end": 1067.66, "word": " minimum", "probability": 0.65576171875}, {"start": 1067.66, "end": 1068.44, "word": " theorem", "probability": 0.8271484375}, {"start": 1068.44, "end": 1070.7, "word": " وعلى", "probability": 0.6785481770833334}, {"start": 1070.7, "end": 1071.14, "word": " اللي", "probability": 0.77880859375}, {"start": 1071.14, "end": 1071.4, "word": " هو", "probability": 0.97607421875}, {"start": 1071.4, "end": 1071.86, "word": " location", "probability": 0.916015625}, {"start": 1071.86, "end": 1072.12, "word": " of", "probability": 0.9521484375}, {"start": 1072.12, "end": 1072.4, "word": " roads", "probability": 0.564453125}, {"start": 1072.4, "end": 1072.92, "word": " theorem", "probability": 0.91357421875}, {"start": 1072.92, "end": 1074.82, "word": " ففي", "probability": 0.849609375}, {"start": 1074.82, "end": 1075.16, "word": " عندي", "probability": 0.716796875}, {"start": 1075.16, "end": 1075.46, "word": " هنا", "probability": 0.9169921875}, {"start": 1075.46, "end": 1076.32, "word": " حلتين", "probability": 0.8682861328125}, {"start": 1076.32, "end": 1076.96, "word": " لاحظوا", "probability": 0.79559326171875}, {"start": 1076.96, "end": 1077.1, "word": " أن", "probability": 0.436279296875}, {"start": 1077.1, "end": 1077.28, "word": " a", "probability": 0.6015625}, {"start": 1077.28, "end": 1077.46, "word": " و", "probability": 0.92578125}, {"start": 1077.46, "end": 1077.66, "word": " b", "probability": 0.6396484375}, {"start": 1077.66, "end": 1078.26, "word": " أعداد", "probability": 0.9049479166666666}, {"start": 1078.26, "end": 1078.74, "word": " دراوي", "probability": 0.329833984375}], "temperature": 1.0}, {"id": 39, "seek": 110733, "start": 1099.18, "end": 1107.34, "text": "النتيجة بتكون واضحة لو كان a بساوي b ف f of a بتطلع بساوي f of b", "tokens": [6027, 1863, 31371, 7435, 3660, 39894, 30544, 4032, 46958, 5016, 3660, 45164, 25961, 257, 4724, 3794, 995, 45865, 272, 6156, 283, 295, 257, 39894, 9566, 1211, 3615, 4724, 3794, 995, 45865, 283, 295, 272], "avg_logprob": -0.3234374863760812, "compression_ratio": 1.2142857142857142, "no_speech_prob": 0.0, "words": [{"start": 1099.1799999999998, "end": 1099.86, "word": "النتيجة", "probability": 0.7476318359375}, {"start": 1099.86, "end": 1100.42, "word": " بتكون", "probability": 0.56854248046875}, {"start": 1100.42, "end": 1102.54, "word": " واضحة", "probability": 0.931396484375}, {"start": 1102.54, "end": 1103.26, "word": " لو", "probability": 0.2137451171875}, {"start": 1103.26, "end": 1103.6, "word": " كان", "probability": 0.9453125}, {"start": 1103.6, "end": 1103.86, "word": " a", "probability": 0.6904296875}, {"start": 1103.86, "end": 1104.42, "word": " بساوي", "probability": 0.63653564453125}, {"start": 1104.42, "end": 1104.76, "word": " b", "probability": 0.84521484375}, {"start": 1104.76, "end": 1105.1, "word": " ف", "probability": 0.88623046875}, {"start": 1105.1, "end": 1105.5, "word": " f", "probability": 0.20849609375}, {"start": 1105.5, "end": 1105.68, "word": " of", "probability": 0.59521484375}, {"start": 1105.68, "end": 1105.8, "word": " a", "probability": 0.962890625}, {"start": 1105.8, "end": 1106.16, "word": " بتطلع", "probability": 0.8939208984375}, {"start": 1106.16, "end": 1106.62, "word": " بساوي", "probability": 0.822509765625}, {"start": 1106.62, "end": 1106.88, "word": " f", "probability": 0.951171875}, {"start": 1106.88, "end": 1107.04, "word": " of", "probability": 0.978515625}, {"start": 1107.04, "end": 1107.34, "word": " b", "probability": 0.96875}], "temperature": 1.0}, {"id": 40, "seek": 113263, "start": 1108.79, "end": 1132.63, "text": "وبالتالي اي k بين f of a وf of b هيساوي واحدة منهم وبالتالي ال k بيساوي f of a خد ال c بيساوي a او b فالنتيجة ايه واضح بدهية يعني متحققات القائمة so assume ان a لايساوي b then", "tokens": [37746, 6027, 2655, 6027, 1829, 1975, 1829, 350, 49374, 283, 295, 257, 4032, 69, 295, 272, 39896, 3794, 995, 45865, 36764, 24401, 3660, 9154, 16095, 46599, 6027, 2655, 6027, 1829, 2423, 350, 4724, 1829, 3794, 995, 45865, 283, 295, 257, 16490, 3215, 2423, 269, 4724, 1829, 3794, 995, 45865, 257, 1975, 2407, 272, 6156, 6027, 29399, 1829, 7435, 3660, 1975, 1829, 3224, 4032, 46958, 5016, 47525, 3224, 10632, 37495, 22653, 44650, 5016, 4587, 4587, 9307, 25062, 16373, 46007, 370, 6552, 16472, 257, 20193, 1829, 3794, 995, 45865, 272, 550], "avg_logprob": -0.22552083482344945, "compression_ratio": 1.6411764705882352, "no_speech_prob": 0.0, "words": [{"start": 1108.79, "end": 1109.55, "word": "وبالتالي", "probability": 0.8053955078125}, {"start": 1109.55, "end": 1109.91, "word": " اي", "probability": 0.6727294921875}, {"start": 1109.91, "end": 1110.21, "word": " k", "probability": 0.38818359375}, {"start": 1110.21, "end": 1110.51, "word": " بين", "probability": 0.6796875}, {"start": 1110.51, "end": 1110.75, "word": " f", "probability": 0.5244140625}, {"start": 1110.75, "end": 1110.89, "word": " of", "probability": 0.46728515625}, {"start": 1110.89, "end": 1110.99, "word": " a", "probability": 0.8984375}, {"start": 1110.99, "end": 1111.23, "word": " وf", "probability": 0.701904296875}, {"start": 1111.23, "end": 1111.35, "word": " of", "probability": 0.96923828125}, {"start": 1111.35, "end": 1111.47, "word": " b", "probability": 0.9443359375}, {"start": 1111.47, "end": 1111.97, "word": " هيساوي", "probability": 0.62615966796875}, {"start": 1111.97, "end": 1112.35, "word": " واحدة", "probability": 0.9576822916666666}, {"start": 1112.35, "end": 1112.75, "word": " منهم", "probability": 0.969482421875}, {"start": 1112.75, "end": 1113.39, "word": " وبالتالي", "probability": 0.9123046875}, {"start": 1113.39, "end": 1113.55, "word": " ال", "probability": 0.50146484375}, {"start": 1113.55, "end": 1113.67, "word": " k", "probability": 0.53271484375}, {"start": 1113.67, "end": 1114.25, "word": " بيساوي", "probability": 0.836328125}, {"start": 1114.25, "end": 1114.51, "word": " f", "probability": 0.91748046875}, {"start": 1114.51, "end": 1114.73, "word": " of", "probability": 0.95703125}, {"start": 1114.73, "end": 1114.91, "word": " a", "probability": 0.98583984375}, {"start": 1114.91, "end": 1115.69, "word": " خد", "probability": 0.779296875}, {"start": 1115.69, "end": 1115.81, "word": " ال", "probability": 0.8642578125}, {"start": 1115.81, "end": 1115.97, "word": " c", "probability": 0.814453125}, {"start": 1115.97, "end": 1116.47, "word": " بيساوي", "probability": 0.96650390625}, {"start": 1116.47, "end": 1116.71, "word": " a", "probability": 0.9228515625}, {"start": 1116.71, "end": 1116.87, "word": " او", "probability": 0.88134765625}, {"start": 1116.87, "end": 1117.13, "word": " b", "probability": 0.9462890625}, {"start": 1117.13, "end": 1118.29, "word": " فالنتيجة", "probability": 0.9751790364583334}, {"start": 1118.29, "end": 1118.55, "word": " ايه", "probability": 0.8958333333333334}, {"start": 1118.55, "end": 1119.07, "word": " واضح", "probability": 0.9278971354166666}, {"start": 1119.07, "end": 1119.71, "word": " بدهية", "probability": 0.78125}, {"start": 1119.71, "end": 1120.79, "word": " يعني", "probability": 0.82373046875}, {"start": 1120.79, "end": 1121.83, "word": " متحققات", "probability": 0.8681640625}, {"start": 1121.83, "end": 1122.63, "word": " القائمة", "probability": 0.6759440104166666}, {"start": 1122.63, "end": 1125.17, "word": " so", "probability": 0.3701171875}, {"start": 1125.17, "end": 1125.99, "word": " assume", "probability": 0.81640625}, {"start": 1125.99, "end": 1129.03, "word": " ان", "probability": 0.5986328125}, {"start": 1129.03, "end": 1129.43, "word": " a", "probability": 0.7451171875}, {"start": 1129.43, "end": 1130.51, "word": " لايساوي", "probability": 0.86689453125}, {"start": 1130.51, "end": 1130.93, "word": " b", "probability": 0.728515625}, {"start": 1130.93, "end": 1132.63, "word": " then", "probability": 0.84912109375}], "temperature": 1.0}, {"id": 41, "seek": 115484, "start": 1134.39, "end": 1154.85, "text": "by tricotomy property إذا كان في عددين بيسويش بعض فبطلع a أصغر من b or b أصغر من a فناخد الحالة الأولى case one لو كان a أصغر من b ففي الحالة هذه", "tokens": [2322, 504, 299, 310, 8488, 4707, 11933, 15730, 25961, 8978, 6225, 3215, 3215, 9957, 4724, 1829, 3794, 45865, 8592, 45030, 11242, 6156, 3555, 9566, 1211, 3615, 257, 5551, 9381, 17082, 2288, 9154, 272, 420, 272, 5551, 9381, 17082, 2288, 9154, 257, 6156, 1863, 47283, 3215, 21542, 6027, 3660, 16247, 12610, 7578, 1389, 472, 45164, 25961, 257, 5551, 9381, 17082, 2288, 9154, 272, 6156, 41185, 21542, 6027, 3660, 29538], "avg_logprob": -0.2283740898837214, "compression_ratio": 1.4640522875816993, "no_speech_prob": 0.0, "words": [{"start": 1134.39, "end": 1134.83, "word": "by", "probability": 0.1732177734375}, {"start": 1134.83, "end": 1135.61, "word": " tricotomy", "probability": 0.58160400390625}, {"start": 1135.61, "end": 1136.31, "word": " property", "probability": 0.9140625}, {"start": 1136.31, "end": 1137.17, "word": " إذا", "probability": 0.6195068359375}, {"start": 1137.17, "end": 1137.37, "word": " كان", "probability": 0.9716796875}, {"start": 1137.37, "end": 1137.51, "word": " في", "probability": 0.3134765625}, {"start": 1137.51, "end": 1137.91, "word": " عددين", "probability": 0.877197265625}, {"start": 1137.91, "end": 1138.37, "word": " بيسويش", "probability": 0.6556640625}, {"start": 1138.37, "end": 1138.75, "word": " بعض", "probability": 0.985595703125}, {"start": 1138.75, "end": 1139.33, "word": " فبطلع", "probability": 0.8583984375}, {"start": 1139.33, "end": 1139.51, "word": " a", "probability": 0.6650390625}, {"start": 1139.51, "end": 1140.01, "word": " أصغر", "probability": 0.9814453125}, {"start": 1140.01, "end": 1140.23, "word": " من", "probability": 0.96826171875}, {"start": 1140.23, "end": 1140.53, "word": " b", "probability": 0.96630859375}, {"start": 1140.53, "end": 1141.09, "word": " or", "probability": 0.399658203125}, {"start": 1141.09, "end": 1142.51, "word": " b", "probability": 0.7080078125}, {"start": 1142.51, "end": 1143.05, "word": " أصغر", "probability": 0.9935302734375}, {"start": 1143.05, "end": 1143.27, "word": " من", "probability": 0.9951171875}, {"start": 1143.27, "end": 1143.55, "word": " a", "probability": 0.98681640625}, {"start": 1143.55, "end": 1146.15, "word": " فناخد", "probability": 0.7459716796875}, {"start": 1146.15, "end": 1146.61, "word": " الحالة", "probability": 0.97607421875}, {"start": 1146.61, "end": 1147.13, "word": " الأولى", "probability": 0.9710286458333334}, {"start": 1147.13, "end": 1147.57, "word": " case", "probability": 0.93994140625}, {"start": 1147.57, "end": 1147.99, "word": " one", "probability": 0.6279296875}, {"start": 1147.99, "end": 1149.75, "word": " لو", "probability": 0.72216796875}, {"start": 1149.75, "end": 1150.29, "word": " كان", "probability": 0.9775390625}, {"start": 1150.29, "end": 1150.71, "word": " a", "probability": 0.955078125}, {"start": 1150.71, "end": 1151.39, "word": " أصغر", "probability": 0.9937744140625}, {"start": 1151.39, "end": 1151.59, "word": " من", "probability": 0.9921875}, {"start": 1151.59, "end": 1151.99, "word": " b", "probability": 0.9912109375}, {"start": 1151.99, "end": 1153.91, "word": " ففي", "probability": 0.88720703125}, {"start": 1153.91, "end": 1154.39, "word": " الحالة", "probability": 0.9905598958333334}, {"start": 1154.39, "end": 1154.85, "word": " هذه", "probability": 0.83251953125}], "temperature": 1.0}, {"id": 42, "seek": 118847, "start": 1161.39, "end": 1188.47, "text": "لو كان ال a أصغر من b فبدي أعرف define في الحالة هذه define g of x علي أنها الدالة اللي هي بالساوي f of x minus k", "tokens": [1211, 2407, 25961, 2423, 257, 5551, 9381, 17082, 2288, 9154, 272, 6156, 3555, 16254, 5551, 3615, 28480, 6964, 8978, 21542, 6027, 3660, 29538, 6964, 290, 295, 2031, 25894, 14739, 11296, 32748, 6027, 3660, 13672, 1829, 39896, 20666, 3794, 995, 45865, 283, 295, 2031, 3175, 350], "avg_logprob": -0.2302989120716634, "compression_ratio": 1.3464566929133859, "no_speech_prob": 0.0, "words": [{"start": 1161.39, "end": 1161.87, "word": "لو", "probability": 0.848876953125}, {"start": 1161.87, "end": 1162.27, "word": " كان", "probability": 0.9775390625}, {"start": 1162.27, "end": 1162.49, "word": " ال", "probability": 0.91455078125}, {"start": 1162.49, "end": 1162.69, "word": " a", "probability": 0.224609375}, {"start": 1162.69, "end": 1163.25, "word": " أصغر", "probability": 0.98046875}, {"start": 1163.25, "end": 1163.45, "word": " من", "probability": 0.97509765625}, {"start": 1163.45, "end": 1163.85, "word": " b", "probability": 0.60791015625}, {"start": 1163.85, "end": 1164.99, "word": " فبدي", "probability": 0.7276204427083334}, {"start": 1164.99, "end": 1166.35, "word": " أعرف", "probability": 0.8583984375}, {"start": 1166.35, "end": 1169.81, "word": " define", "probability": 0.65087890625}, {"start": 1169.81, "end": 1170.13, "word": " في", "probability": 0.8046875}, {"start": 1170.13, "end": 1170.53, "word": " الحالة", "probability": 0.9373372395833334}, {"start": 1170.53, "end": 1170.77, "word": " هذه", "probability": 0.599609375}, {"start": 1170.77, "end": 1171.53, "word": " define", "probability": 0.455810546875}, {"start": 1171.53, "end": 1173.07, "word": " g", "probability": 0.7421875}, {"start": 1173.07, "end": 1173.35, "word": " of", "probability": 0.5380859375}, {"start": 1173.35, "end": 1173.75, "word": " x", "probability": 0.9482421875}, {"start": 1173.75, "end": 1174.01, "word": " علي", "probability": 0.453125}, {"start": 1174.01, "end": 1175.47, "word": " أنها", "probability": 0.752685546875}, {"start": 1175.47, "end": 1179.13, "word": " الدالة", "probability": 0.8243815104166666}, {"start": 1179.13, "end": 1179.37, "word": " اللي", "probability": 0.90576171875}, {"start": 1179.37, "end": 1179.57, "word": " هي", "probability": 0.900390625}, {"start": 1179.57, "end": 1180.43, "word": " بالساوي", "probability": 0.7982177734375}, {"start": 1180.43, "end": 1183.99, "word": " f", "probability": 0.68798828125}, {"start": 1183.99, "end": 1184.23, "word": " of", "probability": 0.9248046875}, {"start": 1184.23, "end": 1184.89, "word": " x", "probability": 0.98046875}, {"start": 1184.89, "end": 1187.99, "word": " minus", "probability": 0.8994140625}, {"start": 1187.99, "end": 1188.47, "word": " k", "probability": 0.865234375}], "temperature": 1.0}, {"id": 43, "seek": 121724, "start": 1191.46, "end": 1217.24, "text": "فطبعا الـ function g الـ function f متصل على الفترة I هو متصل على الفترة المغلقة من a إلى b اللي هي جزء من الفترة I فالـ function g اللي بتساوي f ثالث ثابت مثلها متصل على نفس الفترة اذا g is continuous على الفترة المغلقة من a إلى b", "tokens": [5172, 9566, 3555, 3615, 995, 2423, 39184, 2445, 290, 2423, 39184, 2445, 283, 44650, 36520, 15844, 27188, 2655, 25720, 286, 31439, 44650, 36520, 15844, 27188, 2655, 25720, 9673, 17082, 1211, 28671, 9154, 257, 30731, 272, 13672, 1829, 39896, 10874, 11622, 38207, 9154, 27188, 2655, 25720, 286, 6156, 6027, 39184, 2445, 290, 13672, 1829, 39894, 3794, 995, 45865, 283, 38637, 6027, 12984, 38637, 16758, 2655, 50113, 1211, 11296, 44650, 36520, 15844, 8717, 36178, 27188, 2655, 25720, 1975, 15730, 290, 307, 10957, 15844, 27188, 2655, 25720, 9673, 17082, 1211, 28671, 9154, 257, 30731, 272], "avg_logprob": -0.3141800934268582, "compression_ratio": 2.152941176470588, "no_speech_prob": 0.0, "words": [{"start": 1191.46, "end": 1192.28, "word": "فطبعا", "probability": 0.777001953125}, {"start": 1192.28, "end": 1192.84, "word": " الـ", "probability": 0.3873291015625}, {"start": 1192.84, "end": 1194.2, "word": " function", "probability": 0.814453125}, {"start": 1194.2, "end": 1194.58, "word": " g", "probability": 0.2978515625}, {"start": 1194.58, "end": 1194.98, "word": " الـ", "probability": 0.51904296875}, {"start": 1194.98, "end": 1195.32, "word": " function", "probability": 0.91943359375}, {"start": 1195.32, "end": 1195.62, "word": " f", "probability": 0.91162109375}, {"start": 1195.62, "end": 1196.18, "word": " متصل", "probability": 0.898193359375}, {"start": 1196.18, "end": 1196.34, "word": " على", "probability": 0.5107421875}, {"start": 1196.34, "end": 1196.8, "word": " الفترة", "probability": 0.9622395833333334}, {"start": 1196.8, "end": 1197.12, "word": " I", "probability": 0.544921875}, {"start": 1197.12, "end": 1198.24, "word": " هو", "probability": 0.1947021484375}, {"start": 1198.24, "end": 1199.56, "word": " متصل", "probability": 0.78271484375}, {"start": 1199.56, "end": 1200.0, "word": " على", "probability": 0.94140625}, {"start": 1200.0, "end": 1200.5, "word": " الفترة", "probability": 0.9757486979166666}, {"start": 1200.5, "end": 1201.02, "word": " المغلقة", "probability": 0.945556640625}, {"start": 1201.02, "end": 1201.26, "word": " من", "probability": 0.90087890625}, {"start": 1201.26, "end": 1201.38, "word": " a", "probability": 0.327392578125}, {"start": 1201.38, "end": 1201.5, "word": " إلى", "probability": 0.4892578125}, {"start": 1201.5, "end": 1201.68, "word": " b", "probability": 0.96142578125}, {"start": 1201.68, "end": 1201.86, "word": " اللي", "probability": 0.5556640625}, {"start": 1201.86, "end": 1202.04, "word": " هي", "probability": 0.875}, {"start": 1202.04, "end": 1202.5, "word": " جزء", "probability": 0.9913736979166666}, {"start": 1202.5, "end": 1202.98, "word": " من", "probability": 0.9814453125}, {"start": 1202.98, "end": 1203.62, "word": " الفترة", "probability": 0.9733072916666666}, {"start": 1203.62, "end": 1203.94, "word": " I", "probability": 0.96142578125}, {"start": 1203.94, "end": 1206.38, "word": " فالـ", "probability": 0.7421875}, {"start": 1206.38, "end": 1206.68, "word": " function", "probability": 0.8994140625}, {"start": 1206.68, "end": 1206.94, "word": " g", "probability": 0.599609375}, {"start": 1206.94, "end": 1207.08, "word": " اللي", "probability": 0.518524169921875}, {"start": 1207.08, "end": 1207.6, "word": " بتساوي", "probability": 0.756256103515625}, {"start": 1207.6, "end": 1207.86, "word": " f", "probability": 0.50732421875}, {"start": 1207.86, "end": 1208.44, "word": " ثالث", "probability": 0.6267903645833334}, {"start": 1208.44, "end": 1208.88, "word": " ثابت", "probability": 0.7426350911458334}, {"start": 1208.88, "end": 1209.28, "word": " مثلها", "probability": 0.701416015625}, {"start": 1209.28, "end": 1209.76, "word": " متصل", "probability": 0.921875}, {"start": 1209.76, "end": 1209.88, "word": " على", "probability": 0.8583984375}, {"start": 1209.88, "end": 1210.08, "word": " نفس", "probability": 0.959716796875}, {"start": 1210.08, "end": 1210.56, "word": " الفترة", "probability": 0.9881184895833334}, {"start": 1210.56, "end": 1211.4, "word": " اذا", "probability": 0.51422119140625}, {"start": 1211.4, "end": 1211.76, "word": " g", "probability": 0.452392578125}, {"start": 1211.76, "end": 1212.24, "word": " is", "probability": 0.414306640625}, {"start": 1212.24, "end": 1213.18, "word": " continuous", "probability": 0.92919921875}, {"start": 1213.18, "end": 1214.84, "word": " على", "probability": 0.85546875}, {"start": 1214.84, "end": 1215.34, "word": " الفترة", "probability": 0.9840494791666666}, {"start": 1215.34, "end": 1215.96, "word": " المغلقة", "probability": 0.9793701171875}, {"start": 1215.96, "end": 1216.32, "word": " من", "probability": 0.97265625}, {"start": 1216.32, "end": 1216.74, "word": " a", "probability": 0.9580078125}, {"start": 1216.74, "end": 1216.92, "word": " إلى", "probability": 0.93896484375}, {"start": 1216.92, "end": 1217.24, "word": " b", "probability": 0.98876953125}], "temperature": 1.0}, {"id": 44, "seek": 124031, "start": 1217.99, "end": 1240.31, "text": "اللي هي بالمناسبة مجموعة جزئية من I لأن ال A و ال B موجودين في I و كذلك لاحظوا أن G of A بساوي F of A minus K وهذا من هنا من الفرض هذا بيطلع أصغر من سفر", "tokens": [6027, 20292, 39896, 20666, 2304, 8315, 35457, 3660, 3714, 7435, 2304, 2407, 27884, 10874, 11622, 19986, 10632, 9154, 286, 5296, 33456, 2423, 316, 4032, 2423, 363, 3714, 29245, 23328, 9957, 8978, 286, 4032, 9122, 8848, 23275, 20193, 5016, 19913, 14407, 14739, 460, 295, 316, 4724, 3794, 995, 45865, 479, 295, 316, 3175, 591, 37037, 15730, 9154, 34105, 9154, 27188, 43042, 23758, 4724, 1829, 9566, 1211, 3615, 5551, 9381, 17082, 2288, 9154, 8608, 5172, 2288], "avg_logprob": -0.20572917222976683, "compression_ratio": 1.4761904761904763, "no_speech_prob": 0.0, "words": [{"start": 1217.99, "end": 1218.29, "word": "اللي", "probability": 0.53125}, {"start": 1218.29, "end": 1218.45, "word": " هي", "probability": 0.66943359375}, {"start": 1218.45, "end": 1219.37, "word": " بالمناسبة", "probability": 0.980859375}, {"start": 1219.37, "end": 1220.11, "word": " مجموعة", "probability": 0.93837890625}, {"start": 1220.11, "end": 1220.73, "word": " جزئية", "probability": 0.9495849609375}, {"start": 1220.73, "end": 1220.95, "word": " من", "probability": 0.98583984375}, {"start": 1220.95, "end": 1221.23, "word": " I", "probability": 0.83203125}, {"start": 1221.23, "end": 1221.51, "word": " لأن", "probability": 0.72900390625}, {"start": 1221.51, "end": 1221.67, "word": " ال", "probability": 0.716796875}, {"start": 1221.67, "end": 1221.79, "word": " A", "probability": 0.51904296875}, {"start": 1221.79, "end": 1221.89, "word": " و", "probability": 0.334716796875}, {"start": 1221.89, "end": 1221.99, "word": " ال", "probability": 0.82568359375}, {"start": 1221.99, "end": 1222.13, "word": " B", "probability": 0.94140625}, {"start": 1222.13, "end": 1222.65, "word": " موجودين", "probability": 0.9844970703125}, {"start": 1222.65, "end": 1222.79, "word": " في", "probability": 0.91650390625}, {"start": 1222.79, "end": 1223.15, "word": " I", "probability": 0.9833984375}, {"start": 1223.15, "end": 1226.53, "word": " و", "probability": 0.84326171875}, {"start": 1226.53, "end": 1227.39, "word": " كذلك", "probability": 0.9656575520833334}, {"start": 1227.39, "end": 1228.47, "word": " لاحظوا", "probability": 0.9149169921875}, {"start": 1228.47, "end": 1228.65, "word": " أن", "probability": 0.431396484375}, {"start": 1228.65, "end": 1229.17, "word": " G", "probability": 0.3935546875}, {"start": 1229.17, "end": 1229.91, "word": " of", "probability": 0.1981201171875}, {"start": 1229.91, "end": 1230.47, "word": " A", "probability": 0.95654296875}, {"start": 1230.47, "end": 1231.81, "word": " بساوي", "probability": 0.713623046875}, {"start": 1231.81, "end": 1232.11, "word": " F", "probability": 0.8720703125}, {"start": 1232.11, "end": 1232.41, "word": " of", "probability": 0.9140625}, {"start": 1232.41, "end": 1232.79, "word": " A", "probability": 0.978515625}, {"start": 1232.79, "end": 1233.31, "word": " minus", "probability": 0.6357421875}, {"start": 1233.31, "end": 1233.95, "word": " K", "probability": 0.9765625}, {"start": 1233.95, "end": 1235.01, "word": " وهذا", "probability": 0.6793212890625}, {"start": 1235.01, "end": 1235.21, "word": " من", "probability": 0.91650390625}, {"start": 1235.21, "end": 1235.47, "word": " هنا", "probability": 0.8623046875}, {"start": 1235.47, "end": 1235.69, "word": " من", "probability": 0.595703125}, {"start": 1235.69, "end": 1236.17, "word": " الفرض", "probability": 0.9453125}, {"start": 1236.17, "end": 1236.73, "word": " هذا", "probability": 0.90087890625}, {"start": 1236.73, "end": 1238.29, "word": " بيطلع", "probability": 0.751220703125}, {"start": 1238.29, "end": 1239.59, "word": " أصغر", "probability": 0.75897216796875}, {"start": 1239.59, "end": 1239.77, "word": " من", "probability": 0.994140625}, {"start": 1239.77, "end": 1240.31, "word": " سفر", "probability": 0.7955729166666666}], "temperature": 1.0}, {"id": 45, "seek": 126331, "start": 1241.71, "end": 1263.31, "text": "وهذا أصغر من F of B minus K F of B minus K بيطلع عموجة اللي هو بساوي G of B اذا هاي شروط ال location of roots ال theorem كلها متحققة هي اندي فانش جي متصلة على فترة مغلقة ومحدودة", "tokens": [2407, 3224, 15730, 5551, 9381, 17082, 2288, 9154, 479, 295, 363, 3175, 591, 479, 295, 363, 3175, 591, 4724, 1829, 9566, 1211, 3615, 6225, 2304, 29245, 3660, 13672, 1829, 31439, 4724, 3794, 995, 45865, 460, 295, 363, 1975, 15730, 8032, 47302, 13412, 32887, 9566, 2423, 4914, 295, 10669, 2423, 20904, 28242, 11296, 44650, 5016, 4587, 28671, 39896, 16472, 16254, 6156, 7649, 8592, 10874, 1829, 44650, 36520, 3660, 15844, 6156, 2655, 25720, 3714, 17082, 1211, 28671, 4032, 2304, 24401, 23328, 3660], "avg_logprob": -0.2683256290577076, "compression_ratio": 1.425531914893617, "no_speech_prob": 0.0, "words": [{"start": 1241.71, "end": 1242.55, "word": "وهذا", "probability": 0.7277018229166666}, {"start": 1242.55, "end": 1243.19, "word": " أصغر", "probability": 0.9423828125}, {"start": 1243.19, "end": 1243.57, "word": " من", "probability": 0.96826171875}, {"start": 1243.57, "end": 1244.57, "word": " F", "probability": 0.2012939453125}, {"start": 1244.57, "end": 1245.87, "word": " of", "probability": 0.1571044921875}, {"start": 1245.87, "end": 1246.29, "word": " B", "probability": 0.67236328125}, {"start": 1246.29, "end": 1247.03, "word": " minus", "probability": 0.50927734375}, {"start": 1247.03, "end": 1247.47, "word": " K", "probability": 0.90185546875}, {"start": 1247.47, "end": 1248.73, "word": " F", "probability": 0.304931640625}, {"start": 1248.73, "end": 1248.95, "word": " of", "probability": 0.853515625}, {"start": 1248.95, "end": 1249.13, "word": " B", "probability": 0.98828125}, {"start": 1249.13, "end": 1249.61, "word": " minus", "probability": 0.9765625}, {"start": 1249.61, "end": 1249.83, "word": " K", "probability": 0.96435546875}, {"start": 1249.83, "end": 1250.19, "word": " بيطلع", "probability": 0.827197265625}, {"start": 1250.19, "end": 1250.77, "word": " عموجة", "probability": 0.6966552734375}, {"start": 1250.77, "end": 1251.85, "word": " اللي", "probability": 0.8212890625}, {"start": 1251.85, "end": 1252.07, "word": " هو", "probability": 0.953125}, {"start": 1252.07, "end": 1252.77, "word": " بساوي", "probability": 0.899169921875}, {"start": 1252.77, "end": 1253.31, "word": " G", "probability": 0.71435546875}, {"start": 1253.31, "end": 1253.93, "word": " of", "probability": 0.90185546875}, {"start": 1253.93, "end": 1254.15, "word": " B", "probability": 0.80712890625}, {"start": 1254.15, "end": 1254.65, "word": " اذا", "probability": 0.51531982421875}, {"start": 1254.65, "end": 1256.25, "word": " هاي", "probability": 0.706298828125}, {"start": 1256.25, "end": 1256.83, "word": " شروط", "probability": 0.8668619791666666}, {"start": 1256.83, "end": 1257.13, "word": " ال", "probability": 0.89697265625}, {"start": 1257.13, "end": 1257.53, "word": " location", "probability": 0.90673828125}, {"start": 1257.53, "end": 1257.71, "word": " of", "probability": 0.9541015625}, {"start": 1257.71, "end": 1257.93, "word": " roots", "probability": 0.82373046875}, {"start": 1257.93, "end": 1258.11, "word": " ال", "probability": 0.419677734375}, {"start": 1258.11, "end": 1258.31, "word": " theorem", "probability": 0.7314453125}, {"start": 1258.31, "end": 1258.61, "word": " كلها", "probability": 0.968017578125}, {"start": 1258.61, "end": 1259.13, "word": " متحققة", "probability": 0.9290771484375}, {"start": 1259.13, "end": 1259.33, "word": " هي", "probability": 0.3447265625}, {"start": 1259.33, "end": 1259.61, "word": " اندي", "probability": 0.481689453125}, {"start": 1259.61, "end": 1259.93, "word": " فانش", "probability": 0.704345703125}, {"start": 1259.93, "end": 1260.35, "word": " جي", "probability": 0.58258056640625}, {"start": 1260.35, "end": 1261.51, "word": " متصلة", "probability": 0.939453125}, {"start": 1261.51, "end": 1261.65, "word": " على", "probability": 0.90869140625}, {"start": 1261.65, "end": 1261.99, "word": " فترة", "probability": 0.9921875}, {"start": 1261.99, "end": 1262.43, "word": " مغلقة", "probability": 0.9713134765625}, {"start": 1262.43, "end": 1263.31, "word": " ومحدودة", "probability": 0.9482421875}], "temperature": 1.0}, {"id": 46, "seek": 129052, "start": 1264.14, "end": 1290.52, "text": "وقيمة الـ G عند الـ left endpoint سالبة وقيمة الـ G عند ال right endpoint موجبة and then by then by location of roots theorem يوجد C ينتمي", "tokens": [2407, 4587, 32640, 3660, 2423, 39184, 460, 43242, 2423, 39184, 1411, 35795, 8608, 6027, 49401, 4032, 4587, 32640, 3660, 2423, 39184, 460, 43242, 2423, 558, 35795, 3714, 29245, 49401, 293, 550, 538, 550, 538, 4914, 295, 10669, 20904, 7251, 29245, 3215, 383, 7251, 29399, 2304, 1829], "avg_logprob": -0.30335770515685384, "compression_ratio": 1.4045801526717556, "no_speech_prob": 0.0, "words": [{"start": 1264.14, "end": 1264.98, "word": "وقيمة", "probability": 0.73907470703125}, {"start": 1264.98, "end": 1265.16, "word": " الـ", "probability": 0.58740234375}, {"start": 1265.16, "end": 1265.26, "word": " G", "probability": 0.44384765625}, {"start": 1265.26, "end": 1265.54, "word": " عند", "probability": 0.732421875}, {"start": 1265.54, "end": 1265.7, "word": " الـ", "probability": 0.567626953125}, {"start": 1265.7, "end": 1265.94, "word": " left", "probability": 0.70849609375}, {"start": 1265.94, "end": 1266.56, "word": " endpoint", "probability": 0.8203125}, {"start": 1266.56, "end": 1267.38, "word": " سالبة", "probability": 0.833984375}, {"start": 1267.38, "end": 1268.24, "word": " وقيمة", "probability": 0.874755859375}, {"start": 1268.24, "end": 1268.44, "word": " الـ", "probability": 0.753173828125}, {"start": 1268.44, "end": 1268.58, "word": " G", "probability": 0.94677734375}, {"start": 1268.58, "end": 1268.88, "word": " عند", "probability": 0.9794921875}, {"start": 1268.88, "end": 1269.04, "word": " ال", "probability": 0.8876953125}, {"start": 1269.04, "end": 1269.34, "word": " right", "probability": 0.381591796875}, {"start": 1269.34, "end": 1270.12, "word": " endpoint", "probability": 0.94140625}, {"start": 1270.12, "end": 1270.98, "word": " موجبة", "probability": 0.8699544270833334}, {"start": 1270.98, "end": 1271.98, "word": " and", "probability": 0.15673828125}, {"start": 1271.98, "end": 1272.18, "word": " then", "probability": 0.79736328125}, {"start": 1272.18, "end": 1272.6, "word": " by", "probability": 0.931640625}, {"start": 1272.6, "end": 1276.22, "word": " then", "probability": 0.270751953125}, {"start": 1276.22, "end": 1277.18, "word": " by", "probability": 0.9384765625}, {"start": 1277.18, "end": 1279.8, "word": " location", "probability": 0.9267578125}, {"start": 1279.8, "end": 1280.5, "word": " of", "probability": 0.982421875}, {"start": 1280.5, "end": 1281.1, "word": " roots", "probability": 0.8779296875}, {"start": 1281.1, "end": 1283.9, "word": " theorem", "probability": 0.5078125}, {"start": 1283.9, "end": 1288.02, "word": " يوجد", "probability": 0.9632161458333334}, {"start": 1288.02, "end": 1289.72, "word": " C", "probability": 0.5380859375}, {"start": 1289.72, "end": 1290.52, "word": " ينتمي", "probability": 0.9075927734375}], "temperature": 1.0}, {"id": 47, "seek": 131505, "start": 1291.63, "end": 1315.05, "text": "للفترة I يعني ينتمي يوجد C ينتمي للفترة المطوحة من A وB اللي هي subset من I بحيث انه صورة الـ C عندها بساوي سفر لكن انا عندي G of C من تعريف ال function G", "tokens": [1211, 1211, 5172, 2655, 25720, 286, 37495, 22653, 7251, 29399, 2304, 1829, 7251, 29245, 3215, 383, 7251, 29399, 2304, 1829, 24976, 5172, 2655, 25720, 9673, 9566, 2407, 5016, 3660, 9154, 316, 4032, 33, 13672, 1829, 39896, 25993, 9154, 286, 4724, 5016, 1829, 12984, 16472, 3224, 20328, 13063, 3660, 2423, 39184, 383, 43242, 11296, 4724, 3794, 995, 45865, 8608, 5172, 2288, 44381, 1975, 8315, 18871, 16254, 460, 295, 383, 9154, 37279, 16572, 5172, 2423, 2445, 460], "avg_logprob": -0.27446544876224116, "compression_ratio": 1.521472392638037, "no_speech_prob": 0.0, "words": [{"start": 1291.6299999999999, "end": 1292.59, "word": "للفترة", "probability": 0.61669921875}, {"start": 1292.59, "end": 1293.19, "word": " I", "probability": 0.64306640625}, {"start": 1293.19, "end": 1293.65, "word": " يعني", "probability": 0.5533447265625}, {"start": 1293.65, "end": 1294.49, "word": " ينتمي", "probability": 0.90966796875}, {"start": 1294.49, "end": 1295.69, "word": " يوجد", "probability": 0.7958984375}, {"start": 1295.69, "end": 1296.25, "word": " C", "probability": 0.55029296875}, {"start": 1296.25, "end": 1296.99, "word": " ينتمي", "probability": 0.9515380859375}, {"start": 1296.99, "end": 1297.57, "word": " للفترة", "probability": 0.8387451171875}, {"start": 1297.57, "end": 1298.07, "word": " المطوحة", "probability": 0.638037109375}, {"start": 1298.07, "end": 1298.21, "word": " من", "probability": 0.95849609375}, {"start": 1298.21, "end": 1298.49, "word": " A", "probability": 0.80810546875}, {"start": 1298.49, "end": 1298.97, "word": " وB", "probability": 0.834716796875}, {"start": 1298.97, "end": 1300.15, "word": " اللي", "probability": 0.76318359375}, {"start": 1300.15, "end": 1300.33, "word": " هي", "probability": 0.9365234375}, {"start": 1300.33, "end": 1300.73, "word": " subset", "probability": 0.921875}, {"start": 1300.73, "end": 1301.09, "word": " من", "probability": 0.98876953125}, {"start": 1301.09, "end": 1301.57, "word": " I", "probability": 0.98779296875}, {"start": 1301.57, "end": 1303.15, "word": " بحيث", "probability": 0.7373046875}, {"start": 1303.15, "end": 1304.09, "word": " انه", "probability": 0.727783203125}, {"start": 1304.09, "end": 1306.15, "word": " صورة", "probability": 0.9593098958333334}, {"start": 1306.15, "end": 1306.43, "word": " الـ", "probability": 0.674072265625}, {"start": 1306.43, "end": 1306.61, "word": " C", "probability": 0.4873046875}, {"start": 1306.61, "end": 1307.09, "word": " عندها", "probability": 0.987548828125}, {"start": 1307.09, "end": 1307.59, "word": " بساوي", "probability": 0.8240966796875}, {"start": 1307.59, "end": 1308.03, "word": " سفر", "probability": 0.8404947916666666}, {"start": 1308.03, "end": 1310.45, "word": " لكن", "probability": 0.77587890625}, {"start": 1310.45, "end": 1310.77, "word": " انا", "probability": 0.7252197265625}, {"start": 1310.77, "end": 1311.35, "word": " عندي", "probability": 0.798583984375}, {"start": 1311.35, "end": 1313.01, "word": " G", "probability": 0.7021484375}, {"start": 1313.01, "end": 1313.23, "word": " of", "probability": 0.69775390625}, {"start": 1313.23, "end": 1313.53, "word": " C", "probability": 0.966796875}, {"start": 1313.53, "end": 1313.77, "word": " من", "probability": 0.984375}, {"start": 1313.77, "end": 1314.17, "word": " تعريف", "probability": 0.9884440104166666}, {"start": 1314.17, "end": 1314.31, "word": " ال", "probability": 0.95849609375}, {"start": 1314.31, "end": 1314.63, "word": " function", "probability": 0.646484375}, {"start": 1314.63, "end": 1315.05, "word": " G", "probability": 0.8837890625}], "temperature": 1.0}, {"id": 48, "seek": 133875, "start": 1316.87, "end": 1338.75, "text": "G of C بساوي F of C negative K حل المعادلة هذه في F of C فبطلع F of C بساوي K كما هو مطلوب زي ما هو مطلوب ان هيك بتكون برهانة نظرية بس A في الحالة اللي فيها بتكون A أصغر من B", "tokens": [38, 295, 383, 4724, 3794, 995, 45865, 479, 295, 383, 3671, 591, 11331, 1211, 9673, 3615, 18513, 37977, 29538, 8978, 479, 295, 383, 6156, 3555, 9566, 1211, 3615, 479, 295, 383, 4724, 3794, 995, 45865, 591, 9122, 15042, 31439, 3714, 9566, 1211, 37746, 30767, 1829, 19446, 31439, 3714, 9566, 1211, 37746, 16472, 39896, 4117, 39894, 30544, 4724, 2288, 3224, 7649, 3660, 8717, 19913, 2288, 10632, 4724, 3794, 316, 8978, 21542, 6027, 3660, 13672, 1829, 8978, 11296, 39894, 30544, 316, 5551, 9381, 17082, 2288, 9154, 363], "avg_logprob": -0.1922238349568012, "compression_ratio": 1.6176470588235294, "no_speech_prob": 0.0, "words": [{"start": 1316.87, "end": 1317.43, "word": "G", "probability": 0.128173828125}, {"start": 1317.43, "end": 1317.69, "word": " of", "probability": 0.17724609375}, {"start": 1317.69, "end": 1317.87, "word": " C", "probability": 0.896484375}, {"start": 1317.87, "end": 1318.53, "word": " بساوي", "probability": 0.5483627319335938}, {"start": 1318.53, "end": 1318.95, "word": " F", "probability": 0.85986328125}, {"start": 1318.95, "end": 1319.25, "word": " of", "probability": 0.9765625}, {"start": 1319.25, "end": 1319.87, "word": " C", "probability": 0.984375}, {"start": 1319.87, "end": 1320.73, "word": " negative", "probability": 0.541015625}, {"start": 1320.73, "end": 1321.31, "word": " K", "probability": 0.869140625}, {"start": 1321.31, "end": 1322.49, "word": " حل", "probability": 0.742431640625}, {"start": 1322.49, "end": 1323.11, "word": " المعادلة", "probability": 0.9837646484375}, {"start": 1323.11, "end": 1323.61, "word": " هذه", "probability": 0.5390625}, {"start": 1323.61, "end": 1323.97, "word": " في", "probability": 0.82080078125}, {"start": 1323.97, "end": 1324.65, "word": " F", "probability": 0.90625}, {"start": 1324.65, "end": 1324.85, "word": " of", "probability": 0.94873046875}, {"start": 1324.85, "end": 1325.17, "word": " C", "probability": 0.9931640625}, {"start": 1325.17, "end": 1325.95, "word": " فبطلع", "probability": 0.8912109375}, {"start": 1325.95, "end": 1327.27, "word": " F", "probability": 0.74267578125}, {"start": 1327.27, "end": 1327.53, "word": " of", "probability": 0.97998046875}, {"start": 1327.53, "end": 1327.85, "word": " C", "probability": 0.9931640625}, {"start": 1327.85, "end": 1328.75, "word": " بساوي", "probability": 0.9488525390625}, {"start": 1328.75, "end": 1329.23, "word": " K", "probability": 0.88427734375}, {"start": 1329.23, "end": 1329.63, "word": " كما", "probability": 0.965576171875}, {"start": 1329.63, "end": 1329.85, "word": " هو", "probability": 0.9892578125}, {"start": 1329.85, "end": 1330.43, "word": " مطلوب", "probability": 0.86767578125}, {"start": 1330.43, "end": 1331.81, "word": " زي", "probability": 0.6912841796875}, {"start": 1331.81, "end": 1331.93, "word": " ما", "probability": 0.943359375}, {"start": 1331.93, "end": 1332.13, "word": " هو", "probability": 0.99365234375}, {"start": 1332.13, "end": 1332.97, "word": " مطلوب", "probability": 0.9725341796875}, {"start": 1332.97, "end": 1333.47, "word": " ان", "probability": 0.30322265625}, {"start": 1333.47, "end": 1333.71, "word": " هيك", "probability": 0.5616455078125}, {"start": 1333.71, "end": 1333.99, "word": " بتكون", "probability": 0.7301025390625}, {"start": 1333.99, "end": 1334.45, "word": " برهانة", "probability": 0.8990234375}, {"start": 1334.45, "end": 1334.89, "word": " نظرية", "probability": 0.9833984375}, {"start": 1334.89, "end": 1335.27, "word": " بس", "probability": 0.96484375}, {"start": 1335.27, "end": 1335.53, "word": " A", "probability": 0.7412109375}, {"start": 1335.53, "end": 1336.19, "word": " في", "probability": 0.771484375}, {"start": 1336.19, "end": 1336.51, "word": " الحالة", "probability": 0.8772786458333334}, {"start": 1336.51, "end": 1336.63, "word": " اللي", "probability": 0.885009765625}, {"start": 1336.63, "end": 1336.83, "word": " فيها", "probability": 0.952880859375}, {"start": 1336.83, "end": 1337.21, "word": " بتكون", "probability": 0.88330078125}, {"start": 1337.21, "end": 1337.45, "word": " A", "probability": 0.92431640625}, {"start": 1337.45, "end": 1337.91, "word": " أصغر", "probability": 0.9490966796875}, {"start": 1337.91, "end": 1338.07, "word": " من", "probability": 0.9814453125}, {"start": 1338.07, "end": 1338.75, "word": " B", "probability": 0.8701171875}], "temperature": 1.0}, {"id": 49, "seek": 136582, "start": 1339.32, "end": 1365.82, "text": "يبقى ندرين النظرية في الحالة التالية case 2 اللي فيها ال b أصغر من a ففي الحالة هذه خلّيني أعرف المرة هذه function h على أنها بتساوي k minus f of x فواضح clearly", "tokens": [1829, 3555, 4587, 7578, 8717, 3215, 2288, 9957, 28239, 19913, 2288, 10632, 8978, 21542, 6027, 3660, 16712, 6027, 10632, 1389, 568, 13672, 1829, 8978, 11296, 2423, 272, 5551, 9381, 17082, 2288, 9154, 257, 6156, 41185, 21542, 6027, 3660, 29538, 16490, 1211, 11703, 9957, 1829, 5551, 3615, 28480, 9673, 25720, 29538, 2445, 276, 15844, 14739, 11296, 39894, 3794, 995, 45865, 350, 3175, 283, 295, 2031, 6156, 2407, 46958, 5016, 4448], "avg_logprob": -0.2584821326392038, "compression_ratio": 1.4545454545454546, "no_speech_prob": 0.0, "words": [{"start": 1339.32, "end": 1339.96, "word": "يبقى", "probability": 0.8450927734375}, {"start": 1339.96, "end": 1340.54, "word": " ندرين", "probability": 0.469390869140625}, {"start": 1340.54, "end": 1341.08, "word": " النظرية", "probability": 0.9595947265625}, {"start": 1341.08, "end": 1341.26, "word": " في", "probability": 0.890625}, {"start": 1341.26, "end": 1341.7, "word": " الحالة", "probability": 0.96875}, {"start": 1341.7, "end": 1342.18, "word": " التالية", "probability": 0.98876953125}, {"start": 1342.18, "end": 1342.72, "word": " case", "probability": 0.5302734375}, {"start": 1342.72, "end": 1343.12, "word": " 2", "probability": 0.498046875}, {"start": 1343.12, "end": 1343.66, "word": " اللي", "probability": 0.70947265625}, {"start": 1343.66, "end": 1344.8, "word": " فيها", "probability": 0.86767578125}, {"start": 1344.8, "end": 1344.96, "word": " ال", "probability": 0.806640625}, {"start": 1344.96, "end": 1345.3, "word": " b", "probability": 0.1593017578125}, {"start": 1345.3, "end": 1346.16, "word": " أصغر", "probability": 0.9815673828125}, {"start": 1346.16, "end": 1346.42, "word": " من", "probability": 0.98193359375}, {"start": 1346.42, "end": 1346.8, "word": " a", "probability": 0.62060546875}, {"start": 1346.8, "end": 1349.92, "word": " ففي", "probability": 0.84814453125}, {"start": 1349.92, "end": 1350.38, "word": " الحالة", "probability": 0.9892578125}, {"start": 1350.38, "end": 1350.74, "word": " هذه", "probability": 0.89013671875}, {"start": 1350.74, "end": 1351.2, "word": " خلّيني", "probability": 0.78408203125}, {"start": 1351.2, "end": 1351.64, "word": " أعرف", "probability": 0.7552083333333334}, {"start": 1351.64, "end": 1352.04, "word": " المرة", "probability": 0.7490234375}, {"start": 1352.04, "end": 1352.42, "word": " هذه", "probability": 0.9404296875}, {"start": 1352.42, "end": 1353.1, "word": " function", "probability": 0.765625}, {"start": 1353.1, "end": 1354.4, "word": " h", "probability": 0.52001953125}, {"start": 1354.4, "end": 1357.08, "word": " على", "probability": 0.43701171875}, {"start": 1357.08, "end": 1357.64, "word": " أنها", "probability": 0.690673828125}, {"start": 1357.64, "end": 1359.34, "word": " بتساوي", "probability": 0.84521484375}, {"start": 1359.34, "end": 1359.86, "word": " k", "probability": 0.39697265625}, {"start": 1359.86, "end": 1360.7, "word": " minus", "probability": 0.66650390625}, {"start": 1360.7, "end": 1361.12, "word": " f", "probability": 0.83447265625}, {"start": 1361.12, "end": 1361.36, "word": " of", "probability": 0.77734375}, {"start": 1361.36, "end": 1361.86, "word": " x", "probability": 0.93994140625}, {"start": 1361.86, "end": 1364.08, "word": " فواضح", "probability": 0.9208984375}, {"start": 1364.08, "end": 1365.82, "word": " clearly", "probability": 0.5390625}], "temperature": 1.0}, {"id": 50, "seek": 139773, "start": 1368.29, "end": 1397.73, "text": "واضح ان الـ H زيها زي ال F متصلة is continuous على الفترة المغلقة والمحدودة من A ل B and H of A بيساوي K minus K minus F of A بيطلع سالب K minus F of A", "tokens": [2407, 46958, 5016, 16472, 2423, 39184, 389, 30767, 1829, 11296, 30767, 1829, 2423, 479, 44650, 36520, 3660, 307, 10957, 15844, 27188, 2655, 25720, 9673, 17082, 1211, 28671, 16070, 2304, 24401, 23328, 3660, 9154, 316, 5296, 363, 293, 389, 295, 316, 4724, 1829, 3794, 995, 45865, 591, 3175, 591, 3175, 479, 295, 316, 4724, 1829, 9566, 1211, 3615, 8608, 6027, 3555, 591, 3175, 479, 295, 316], "avg_logprob": -0.18844696947119452, "compression_ratio": 1.4210526315789473, "no_speech_prob": 0.0, "words": [{"start": 1368.29, "end": 1368.91, "word": "واضح", "probability": 0.9337565104166666}, {"start": 1368.91, "end": 1369.23, "word": " ان", "probability": 0.5849609375}, {"start": 1369.23, "end": 1369.47, "word": " الـ", "probability": 0.684814453125}, {"start": 1369.47, "end": 1369.73, "word": " H", "probability": 0.425537109375}, {"start": 1369.73, "end": 1370.25, "word": " زيها", "probability": 0.85205078125}, {"start": 1370.25, "end": 1370.45, "word": " زي", "probability": 0.995849609375}, {"start": 1370.45, "end": 1370.61, "word": " ال", "probability": 0.83642578125}, {"start": 1370.61, "end": 1370.83, "word": " F", "probability": 0.515625}, {"start": 1370.83, "end": 1373.47, "word": " متصلة", "probability": 0.796875}, {"start": 1373.47, "end": 1374.25, "word": " is", "probability": 0.52294921875}, {"start": 1374.25, "end": 1375.13, "word": " continuous", "probability": 0.8876953125}, {"start": 1375.13, "end": 1377.21, "word": " على", "probability": 0.85595703125}, {"start": 1377.21, "end": 1378.09, "word": " الفترة", "probability": 0.9884440104166666}, {"start": 1378.09, "end": 1379.09, "word": " المغلقة", "probability": 0.9627685546875}, {"start": 1379.09, "end": 1381.49, "word": " والمحدودة", "probability": 0.9208984375}, {"start": 1381.49, "end": 1381.75, "word": " من", "probability": 0.96923828125}, {"start": 1381.75, "end": 1382.01, "word": " A", "probability": 0.82958984375}, {"start": 1382.01, "end": 1382.13, "word": " ل", "probability": 0.7587890625}, {"start": 1382.13, "end": 1382.51, "word": " B", "probability": 0.55126953125}, {"start": 1382.51, "end": 1383.25, "word": " and", "probability": 0.6884765625}, {"start": 1383.25, "end": 1386.69, "word": " H", "probability": 0.806640625}, {"start": 1386.69, "end": 1387.61, "word": " of", "probability": 0.83056640625}, {"start": 1387.61, "end": 1388.25, "word": " A", "probability": 0.9794921875}, {"start": 1388.25, "end": 1389.89, "word": " بيساوي", "probability": 0.75458984375}, {"start": 1389.89, "end": 1390.23, "word": " K", "probability": 0.6845703125}, {"start": 1390.23, "end": 1390.77, "word": " minus", "probability": 0.62744140625}, {"start": 1390.77, "end": 1391.21, "word": " K", "probability": 0.404052734375}, {"start": 1391.21, "end": 1392.09, "word": " minus", "probability": 0.953125}, {"start": 1392.09, "end": 1392.51, "word": " F", "probability": 0.97412109375}, {"start": 1392.51, "end": 1392.71, "word": " of", "probability": 0.95361328125}, {"start": 1392.71, "end": 1392.87, "word": " A", "probability": 0.994140625}, {"start": 1392.87, "end": 1393.25, "word": " بيطلع", "probability": 0.88134765625}, {"start": 1393.25, "end": 1393.85, "word": " سالب", "probability": 0.793701171875}, {"start": 1393.85, "end": 1395.91, "word": " K", "probability": 0.7822265625}, {"start": 1395.91, "end": 1396.53, "word": " minus", "probability": 0.9697265625}, {"start": 1396.53, "end": 1397.13, "word": " F", "probability": 0.97607421875}, {"start": 1397.13, "end": 1397.41, "word": " of", "probability": 0.974609375}, {"start": 1397.41, "end": 1397.73, "word": " A", "probability": 0.9970703125}], "temperature": 1.0}, {"id": 51, "seek": 142520, "start": 1398.6, "end": 1425.2, "text": "ومن الفرب هذا بيطلع سالب وهذا أصغر من k minus f of b اللي هو بيطلع h of b كذلك كي لو طرحت من ال k f of b فبيطلع سالب فرق إذا الأن في اندي function h continuous على فترة مغلقة ومحدودة", "tokens": [2407, 27842, 27188, 2288, 3555, 23758, 4724, 1829, 9566, 1211, 3615, 8608, 6027, 3555, 37037, 15730, 5551, 9381, 17082, 2288, 9154, 350, 3175, 283, 295, 272, 13672, 1829, 31439, 4724, 1829, 9566, 1211, 3615, 276, 295, 272, 9122, 8848, 23275, 9122, 1829, 45164, 23032, 2288, 33753, 9154, 2423, 350, 283, 295, 272, 6156, 21292, 9566, 1211, 3615, 8608, 6027, 3555, 6156, 2288, 4587, 11933, 15730, 16247, 1863, 8978, 16472, 16254, 2445, 276, 10957, 15844, 6156, 2655, 25720, 3714, 17082, 1211, 28671, 4032, 2304, 24401, 23328, 3660], "avg_logprob": -0.33584770663031216, "compression_ratio": 1.5777777777777777, "no_speech_prob": 0.0, "words": [{"start": 1398.6, "end": 1398.92, "word": "ومن", "probability": 0.4173583984375}, {"start": 1398.92, "end": 1399.5, "word": " الفرب", "probability": 0.6809895833333334}, {"start": 1399.5, "end": 1399.82, "word": " هذا", "probability": 0.63427734375}, {"start": 1399.82, "end": 1400.26, "word": " بيطلع", "probability": 0.72255859375}, {"start": 1400.26, "end": 1401.04, "word": " سالب", "probability": 0.729736328125}, {"start": 1401.04, "end": 1402.44, "word": " وهذا", "probability": 0.847900390625}, {"start": 1402.44, "end": 1403.02, "word": " أصغر", "probability": 0.9080810546875}, {"start": 1403.02, "end": 1403.46, "word": " من", "probability": 0.98486328125}, {"start": 1403.46, "end": 1405.0, "word": " k", "probability": 0.298095703125}, {"start": 1405.0, "end": 1405.82, "word": " minus", "probability": 0.53759765625}, {"start": 1405.82, "end": 1406.32, "word": " f", "probability": 0.59228515625}, {"start": 1406.32, "end": 1406.6, "word": " of", "probability": 0.7333984375}, {"start": 1406.6, "end": 1406.94, "word": " b", "probability": 0.82568359375}, {"start": 1406.94, "end": 1407.54, "word": " اللي", "probability": 0.71630859375}, {"start": 1407.54, "end": 1407.72, "word": " هو", "probability": 0.923828125}, {"start": 1407.72, "end": 1408.74, "word": " بيطلع", "probability": 0.92216796875}, {"start": 1408.74, "end": 1409.32, "word": " h", "probability": 0.6875}, {"start": 1409.32, "end": 1409.96, "word": " of", "probability": 0.9072265625}, {"start": 1409.96, "end": 1410.82, "word": " b", "probability": 0.9267578125}, {"start": 1410.82, "end": 1412.76, "word": " كذلك", "probability": 0.4980875651041667}, {"start": 1412.76, "end": 1415.0, "word": " كي", "probability": 0.4888916015625}, {"start": 1415.0, "end": 1416.3, "word": " لو", "probability": 0.6005859375}, {"start": 1416.3, "end": 1416.7, "word": " طرحت", "probability": 0.729248046875}, {"start": 1416.7, "end": 1416.92, "word": " من", "probability": 0.98486328125}, {"start": 1416.92, "end": 1417.12, "word": " ال", "probability": 0.52587890625}, {"start": 1417.12, "end": 1417.34, "word": " k", "probability": 0.56640625}, {"start": 1417.34, "end": 1417.7, "word": " f", "probability": 0.60791015625}, {"start": 1417.7, "end": 1417.9, "word": " of", "probability": 0.947265625}, {"start": 1417.9, "end": 1418.06, "word": " b", "probability": 0.98388671875}, {"start": 1418.06, "end": 1418.54, "word": " فبيطلع", "probability": 0.85791015625}, {"start": 1418.54, "end": 1419.02, "word": " سالب", "probability": 0.9423828125}, {"start": 1419.02, "end": 1419.7, "word": " فرق", "probability": 0.7548828125}, {"start": 1419.7, "end": 1421.06, "word": " إذا", "probability": 0.41436767578125}, {"start": 1421.06, "end": 1421.46, "word": " الأن", "probability": 0.6365966796875}, {"start": 1421.46, "end": 1421.6, "word": " في", "probability": 0.66552734375}, {"start": 1421.6, "end": 1421.9, "word": " اندي", "probability": 0.35614013671875}, {"start": 1421.9, "end": 1422.26, "word": " function", "probability": 0.61083984375}, {"start": 1422.26, "end": 1422.68, "word": " h", "probability": 0.7958984375}, {"start": 1422.68, "end": 1423.16, "word": " continuous", "probability": 0.8583984375}, {"start": 1423.16, "end": 1423.56, "word": " على", "probability": 0.7998046875}, {"start": 1423.56, "end": 1423.92, "word": " فترة", "probability": 0.9939778645833334}, {"start": 1423.92, "end": 1424.38, "word": " مغلقة", "probability": 0.9635009765625}, {"start": 1424.38, "end": 1425.2, "word": " ومحدودة", "probability": 0.89765625}], "temperature": 1.0}, {"id": 52, "seek": 144603, "start": 1425.97, "end": 1446.03, "text": "وقيمتها عند الـ left endpoint سالبة وعند ال right point موجبة اذا كل شروط ال location of roots في المحققة so by location", "tokens": [2407, 4587, 32640, 2655, 11296, 43242, 2423, 39184, 1411, 35795, 8608, 6027, 49401, 4032, 3615, 41260, 2423, 558, 935, 3714, 29245, 49401, 1975, 15730, 28242, 13412, 32887, 9566, 2423, 4914, 295, 10669, 8978, 9673, 5016, 4587, 28671, 370, 538, 4914], "avg_logprob": -0.39977134727850194, "compression_ratio": 1.2706766917293233, "no_speech_prob": 0.0, "words": [{"start": 1425.97, "end": 1426.79, "word": "وقيمتها", "probability": 0.8201171875}, {"start": 1426.79, "end": 1427.01, "word": " عند", "probability": 0.89501953125}, {"start": 1427.01, "end": 1427.17, "word": " الـ", "probability": 0.55615234375}, {"start": 1427.17, "end": 1427.35, "word": " left", "probability": 0.740234375}, {"start": 1427.35, "end": 1427.79, "word": " endpoint", "probability": 0.65380859375}, {"start": 1427.79, "end": 1428.65, "word": " سالبة", "probability": 0.798828125}, {"start": 1428.65, "end": 1429.09, "word": " وعند", "probability": 0.7932942708333334}, {"start": 1429.09, "end": 1429.27, "word": " ال", "probability": 0.9609375}, {"start": 1429.27, "end": 1429.61, "word": " right", "probability": 0.70703125}, {"start": 1429.61, "end": 1432.27, "word": " point", "probability": 0.4912109375}, {"start": 1432.27, "end": 1434.47, "word": " موجبة", "probability": 0.8385416666666666}, {"start": 1434.47, "end": 1435.61, "word": " اذا", "probability": 0.487518310546875}, {"start": 1435.61, "end": 1436.09, "word": " كل", "probability": 0.857421875}, {"start": 1436.09, "end": 1436.57, "word": " شروط", "probability": 0.8502604166666666}, {"start": 1436.57, "end": 1436.69, "word": " ال", "probability": 0.2315673828125}, {"start": 1436.69, "end": 1437.07, "word": " location", "probability": 0.94189453125}, {"start": 1437.07, "end": 1437.39, "word": " of", "probability": 0.484130859375}, {"start": 1437.39, "end": 1437.97, "word": " roots", "probability": 0.52685546875}, {"start": 1437.97, "end": 1438.17, "word": " في", "probability": 0.658203125}, {"start": 1438.17, "end": 1439.07, "word": " المحققة", "probability": 0.64215087890625}, {"start": 1439.07, "end": 1440.49, "word": " so", "probability": 0.34130859375}, {"start": 1440.49, "end": 1444.55, "word": " by", "probability": 0.6630859375}, {"start": 1444.55, "end": 1446.03, "word": " location", "probability": 0.974609375}], "temperature": 1.0}, {"id": 53, "seek": 147115, "start": 1447.03, "end": 1471.15, "text": "of roots theorem يوجد C ينتمي الى الفترة مظبوط هيك؟ كده كده كده كده كده كده كده كده كده كده كده كده كده كده", "tokens": [2670, 10669, 20904, 7251, 29245, 3215, 383, 7251, 29399, 2304, 1829, 2423, 7578, 27188, 2655, 25720, 3714, 19913, 3555, 2407, 9566, 39896, 4117, 22807, 9122, 3215, 3224, 9122, 3215, 3224, 9122, 3215, 3224, 9122, 3215, 3224, 9122, 3215, 3224, 9122, 3215, 3224, 9122, 3215, 3224, 9122, 3215, 3224, 9122, 3215, 3224, 9122, 3215, 3224, 9122, 3215, 3224, 9122, 3215, 3224, 9122, 3215, 3224, 9122, 3215, 3224], "avg_logprob": -0.3325559612530381, "compression_ratio": 1.9775280898876404, "no_speech_prob": 0.0, "words": [{"start": 1447.03, "end": 1447.49, "word": "of", "probability": 0.6923828125}, {"start": 1447.49, "end": 1448.09, "word": " roots", "probability": 0.86767578125}, {"start": 1448.09, "end": 1449.57, "word": " theorem", "probability": 0.79541015625}, {"start": 1449.57, "end": 1452.79, "word": " يوجد", "probability": 0.9832356770833334}, {"start": 1452.79, "end": 1453.25, "word": " C", "probability": 0.55908203125}, {"start": 1453.25, "end": 1454.21, "word": " ينتمي", "probability": 0.9736328125}, {"start": 1454.21, "end": 1455.51, "word": " الى", "probability": 0.65185546875}, {"start": 1455.51, "end": 1456.81, "word": " الفترة", "probability": 0.9059244791666666}, {"start": 1456.81, "end": 1459.29, "word": " مظبوط", "probability": 0.80478515625}, {"start": 1459.29, "end": 1461.39, "word": " هيك؟", "probability": 0.6107991536458334}, {"start": 1461.39, "end": 1461.59, "word": " كده", "probability": 0.4109903971354167}, {"start": 1461.59, "end": 1462.05, "word": " كده", "probability": 0.5166829427083334}, {"start": 1462.05, "end": 1463.59, "word": " كده", "probability": 0.639892578125}, {"start": 1463.59, "end": 1463.91, "word": " كده", "probability": 0.8175455729166666}, {"start": 1463.91, "end": 1463.95, "word": " كده", "probability": 0.9140625}, {"start": 1463.95, "end": 1464.13, "word": " كده", "probability": 0.9549153645833334}, {"start": 1464.13, "end": 1464.89, "word": " كده", "probability": 0.9742838541666666}, {"start": 1464.89, "end": 1465.91, "word": " كده", "probability": 0.9833984375}, {"start": 1465.91, "end": 1470.13, "word": " كده", "probability": 0.9876302083333334}, {"start": 1470.13, "end": 1470.13, "word": " كده", "probability": 0.9899088541666666}, {"start": 1470.13, "end": 1470.13, "word": " كده", "probability": 0.9912109375}, {"start": 1470.13, "end": 1470.13, "word": " كده", "probability": 0.9918619791666666}, {"start": 1470.13, "end": 1471.01, "word": " كده", "probability": 0.9921875}, {"start": 1471.01, "end": 1471.15, "word": " كده", "probability": 0.9925130208333334}], "temperature": 1.0}, {"id": 54, "seek": 149818, "start": 1476.66, "end": 1498.18, "text": "هك صح K سالب F of B بطلع سالب و هنا هاد المفروض تكون A و هاد A صحيح، بظبط، صح، اذا H of A اللي هي K minus F of A هي K اطرح منها F of A بطلع موجة", "tokens": [3224, 4117, 20328, 5016, 591, 8608, 6027, 3555, 479, 295, 363, 4724, 9566, 1211, 3615, 8608, 6027, 3555, 4032, 34105, 8032, 18513, 9673, 5172, 32887, 11242, 6055, 30544, 316, 4032, 8032, 18513, 316, 20328, 5016, 1829, 5016, 12399, 4724, 19913, 3555, 9566, 12399, 20328, 5016, 12399, 1975, 15730, 389, 295, 316, 13672, 1829, 39896, 591, 3175, 479, 295, 316, 39896, 591, 1975, 9566, 2288, 5016, 9154, 11296, 479, 295, 316, 4724, 9566, 1211, 3615, 3714, 29245, 3660], "avg_logprob": -0.21173878606313315, "compression_ratio": 1.4701986754966887, "no_speech_prob": 0.0, "words": [{"start": 1476.66, "end": 1477.06, "word": "هك", "probability": 0.76025390625}, {"start": 1477.06, "end": 1477.36, "word": " صح", "probability": 0.989990234375}, {"start": 1477.36, "end": 1478.48, "word": " K", "probability": 0.2166748046875}, {"start": 1478.48, "end": 1479.54, "word": " سالب", "probability": 0.6334228515625}, {"start": 1479.54, "end": 1479.92, "word": " F", "probability": 0.9130859375}, {"start": 1479.92, "end": 1480.1, "word": " of", "probability": 0.595703125}, {"start": 1480.1, "end": 1480.26, "word": " B", "probability": 0.91455078125}, {"start": 1480.26, "end": 1480.6, "word": " بطلع", "probability": 0.8433837890625}, {"start": 1480.6, "end": 1480.96, "word": " سالب", "probability": 0.9142252604166666}, {"start": 1480.96, "end": 1482.22, "word": " و", "probability": 0.480712890625}, {"start": 1482.22, "end": 1482.52, "word": " هنا", "probability": 0.9296875}, {"start": 1482.52, "end": 1483.26, "word": " هاد", "probability": 0.609619140625}, {"start": 1483.26, "end": 1483.6, "word": " المفروض", "probability": 0.9884033203125}, {"start": 1483.6, "end": 1484.1, "word": " تكون", "probability": 0.9716796875}, {"start": 1484.1, "end": 1484.56, "word": " A", "probability": 0.9306640625}, {"start": 1484.56, "end": 1485.18, "word": " و", "probability": 0.76171875}, {"start": 1485.18, "end": 1485.54, "word": " هاد", "probability": 0.672119140625}, {"start": 1485.54, "end": 1486.98, "word": " A", "probability": 0.84326171875}, {"start": 1486.98, "end": 1488.48, "word": " صحيح،", "probability": 0.803955078125}, {"start": 1488.48, "end": 1489.64, "word": " بظبط،", "probability": 0.775537109375}, {"start": 1489.64, "end": 1491.5, "word": " صح،", "probability": 0.8538411458333334}, {"start": 1491.5, "end": 1491.78, "word": " اذا", "probability": 0.61083984375}, {"start": 1491.78, "end": 1492.18, "word": " H", "probability": 0.87353515625}, {"start": 1492.18, "end": 1492.4, "word": " of", "probability": 0.857421875}, {"start": 1492.4, "end": 1492.68, "word": " A", "probability": 0.99560546875}, {"start": 1492.68, "end": 1492.9, "word": " اللي", "probability": 0.829833984375}, {"start": 1492.9, "end": 1493.12, "word": " هي", "probability": 0.8740234375}, {"start": 1493.12, "end": 1493.4, "word": " K", "probability": 0.89453125}, {"start": 1493.4, "end": 1493.82, "word": " minus", "probability": 0.8681640625}, {"start": 1493.82, "end": 1494.14, "word": " F", "probability": 0.99609375}, {"start": 1494.14, "end": 1494.3, "word": " of", "probability": 0.984375}, {"start": 1494.3, "end": 1494.56, "word": " A", "probability": 0.9931640625}, {"start": 1494.56, "end": 1495.08, "word": " هي", "probability": 0.6796875}, {"start": 1495.08, "end": 1495.56, "word": " K", "probability": 0.96044921875}, {"start": 1495.56, "end": 1496.62, "word": " اطرح", "probability": 0.8248291015625}, {"start": 1496.62, "end": 1496.98, "word": " منها", "probability": 0.968017578125}, {"start": 1496.98, "end": 1497.18, "word": " F", "probability": 0.98681640625}, {"start": 1497.18, "end": 1497.32, "word": " of", "probability": 0.8662109375}, {"start": 1497.32, "end": 1497.4, "word": " A", "probability": 0.96240234375}, {"start": 1497.4, "end": 1497.74, "word": " بطلع", "probability": 0.921630859375}, {"start": 1497.74, "end": 1498.18, "word": " موجة", "probability": 0.9158528645833334}], "temperature": 1.0}, {"id": 55, "seek": 152604, "start": 1498.94, "end": 1526.04, "text": "بينما K سالم F of B بيطلع سالم، مظبوط هيك، إذا U جان C بين B وA وهي طبعا فترة contained in R بحيث انه H of C بيساوي سفر، لكن H of C من تعريفها هي عبارة عن K minus F of C وبالتالي هذا بيقدر حل المعادلة هذه في F of C", "tokens": [3555, 9957, 15042, 591, 8608, 45340, 479, 295, 363, 4724, 1829, 9566, 1211, 3615, 8608, 45340, 12399, 3714, 19913, 3555, 2407, 9566, 39896, 4117, 12399, 11933, 15730, 624, 10874, 7649, 383, 49374, 363, 4032, 32, 37037, 1829, 23032, 3555, 3615, 995, 6156, 2655, 25720, 16212, 294, 497, 4724, 5016, 1829, 12984, 16472, 3224, 389, 295, 383, 4724, 1829, 3794, 995, 45865, 8608, 5172, 2288, 12399, 44381, 389, 295, 383, 9154, 37279, 16572, 5172, 11296, 39896, 6225, 3555, 9640, 3660, 18871, 591, 3175, 479, 295, 383, 46599, 6027, 2655, 6027, 1829, 23758, 4724, 1829, 28543, 2288, 11331, 1211, 9673, 3615, 18513, 37977, 29538, 8978, 479, 295, 383], "avg_logprob": -0.2976051485427072, "compression_ratio": 1.5514018691588785, "no_speech_prob": 0.0, "words": [{"start": 1498.94, "end": 1499.48, "word": "بينما", "probability": 0.7743326822916666}, {"start": 1499.48, "end": 1499.78, "word": " K", "probability": 0.25390625}, {"start": 1499.78, "end": 1500.26, "word": " سالم", "probability": 0.510498046875}, {"start": 1500.26, "end": 1500.6, "word": " F", "probability": 0.486083984375}, {"start": 1500.6, "end": 1500.76, "word": " of", "probability": 0.38623046875}, {"start": 1500.76, "end": 1500.88, "word": " B", "probability": 0.86669921875}, {"start": 1500.88, "end": 1501.24, "word": " بيطلع", "probability": 0.6472900390625}, {"start": 1501.24, "end": 1501.72, "word": " سالم،", "probability": 0.7191569010416666}, {"start": 1501.72, "end": 1502.26, "word": " مظبوط", "probability": 0.909375}, {"start": 1502.26, "end": 1502.8, "word": " هيك،", "probability": 0.5520833333333334}, {"start": 1502.8, "end": 1503.2, "word": " إذا", "probability": 0.5484619140625}, {"start": 1503.2, "end": 1503.46, "word": " U", "probability": 0.28662109375}, {"start": 1503.46, "end": 1503.7, "word": " جان", "probability": 0.24798583984375}, {"start": 1503.7, "end": 1504.06, "word": " C", "probability": 0.609375}, {"start": 1504.06, "end": 1504.6, "word": " بين", "probability": 0.9765625}, {"start": 1504.6, "end": 1505.12, "word": " B", "probability": 0.9560546875}, {"start": 1505.12, "end": 1506.54, "word": " وA", "probability": 0.6612548828125}, {"start": 1506.54, "end": 1507.16, "word": " وهي", "probability": 0.635009765625}, {"start": 1507.16, "end": 1507.56, "word": " طبعا", "probability": 0.977294921875}, {"start": 1507.56, "end": 1508.08, "word": " فترة", "probability": 0.8665364583333334}, {"start": 1508.08, "end": 1508.68, "word": " contained", "probability": 0.341796875}, {"start": 1508.68, "end": 1508.98, "word": " in", "probability": 0.333984375}, {"start": 1508.98, "end": 1509.34, "word": " R", "probability": 0.96435546875}, {"start": 1509.34, "end": 1510.92, "word": " بحيث", "probability": 0.886962890625}, {"start": 1510.92, "end": 1512.14, "word": " انه", "probability": 0.590087890625}, {"start": 1512.14, "end": 1513.34, "word": " H", "probability": 0.8603515625}, {"start": 1513.34, "end": 1515.32, "word": " of", "probability": 0.83984375}, {"start": 1515.32, "end": 1515.74, "word": " C", "probability": 0.98974609375}, {"start": 1515.74, "end": 1516.24, "word": " بيساوي", "probability": 0.7408203125}, {"start": 1516.24, "end": 1516.76, "word": " سفر،", "probability": 0.830810546875}, {"start": 1516.76, "end": 1517.06, "word": " لكن", "probability": 0.96826171875}, {"start": 1517.06, "end": 1517.38, "word": " H", "probability": 0.9267578125}, {"start": 1517.38, "end": 1517.58, "word": " of", "probability": 0.9638671875}, {"start": 1517.58, "end": 1517.78, "word": " C", "probability": 0.9951171875}, {"start": 1517.78, "end": 1518.0, "word": " من", "probability": 0.9814453125}, {"start": 1518.0, "end": 1519.2, "word": " تعريفها", "probability": 0.98828125}, {"start": 1519.2, "end": 1519.42, "word": " هي", "probability": 0.74853515625}, {"start": 1519.42, "end": 1519.76, "word": " عبارة", "probability": 0.99560546875}, {"start": 1519.76, "end": 1519.96, "word": " عن", "probability": 0.9912109375}, {"start": 1519.96, "end": 1520.28, "word": " K", "probability": 0.78076171875}, {"start": 1520.28, "end": 1520.96, "word": " minus", "probability": 0.81982421875}, {"start": 1520.96, "end": 1521.44, "word": " F", "probability": 0.978515625}, {"start": 1521.44, "end": 1521.68, "word": " of", "probability": 0.98193359375}, {"start": 1521.68, "end": 1522.02, "word": " C", "probability": 0.9951171875}, {"start": 1522.02, "end": 1523.38, "word": " وبالتالي", "probability": 0.86318359375}, {"start": 1523.38, "end": 1523.64, "word": " هذا", "probability": 0.80126953125}, {"start": 1523.64, "end": 1524.12, "word": " بيقدر", "probability": 0.8212890625}, {"start": 1524.12, "end": 1524.4, "word": " حل", "probability": 0.607666015625}, {"start": 1524.4, "end": 1524.9, "word": " المعادلة", "probability": 0.9493408203125}, {"start": 1524.9, "end": 1525.18, "word": " هذه", "probability": 0.75439453125}, {"start": 1525.18, "end": 1525.34, "word": " في", "probability": 0.943359375}, {"start": 1525.34, "end": 1525.58, "word": " F", "probability": 0.96826171875}, {"start": 1525.58, "end": 1525.78, "word": " of", "probability": 0.97802734375}, {"start": 1525.78, "end": 1526.04, "word": " C", "probability": 0.99609375}], "temperature": 1.0}, {"id": 56, "seek": 154793, "start": 1526.85, "end": 1547.93, "text": "فبطلع F of C بساوي K وهو المطلوب إذا في الحالتين أثبتنا أن يوجد C في الفترة I بين A وB وقيمتها عند C بساوي LK إذا نليك بيكون برهاننا Bolzano's Intermediate Value", "tokens": [5172, 3555, 9566, 1211, 3615, 479, 295, 383, 4724, 3794, 995, 45865, 591, 37037, 2407, 9673, 9566, 1211, 37746, 11933, 15730, 8978, 21542, 6027, 2655, 9957, 5551, 12984, 3555, 2655, 8315, 14739, 7251, 29245, 3215, 383, 8978, 27188, 2655, 25720, 286, 49374, 316, 4032, 33, 4032, 4587, 32640, 2655, 11296, 43242, 383, 4724, 3794, 995, 45865, 441, 42, 11933, 15730, 8717, 20292, 4117, 4724, 1829, 30544, 4724, 2288, 3224, 7649, 8315, 14331, 89, 3730, 311, 5751, 3130, 473, 39352], "avg_logprob": -0.29550782181322577, "compression_ratio": 1.3922651933701657, "no_speech_prob": 0.0, "words": [{"start": 1526.85, "end": 1527.49, "word": "فبطلع", "probability": 0.627001953125}, {"start": 1527.49, "end": 1527.73, "word": " F", "probability": 0.322509765625}, {"start": 1527.73, "end": 1527.95, "word": " of", "probability": 0.6806640625}, {"start": 1527.95, "end": 1528.23, "word": " C", "probability": 0.91357421875}, {"start": 1528.23, "end": 1529.03, "word": " بساوي", "probability": 0.791015625}, {"start": 1529.03, "end": 1529.39, "word": " K", "probability": 0.876953125}, {"start": 1529.39, "end": 1530.19, "word": " وهو", "probability": 0.70849609375}, {"start": 1530.19, "end": 1530.81, "word": " المطلوب", "probability": 0.9853515625}, {"start": 1530.81, "end": 1532.15, "word": " إذا", "probability": 0.3995361328125}, {"start": 1532.15, "end": 1532.31, "word": " في", "probability": 0.79248046875}, {"start": 1532.31, "end": 1532.85, "word": " الحالتين", "probability": 0.9659423828125}, {"start": 1532.85, "end": 1533.37, "word": " أثبتنا", "probability": 0.96875}, {"start": 1533.37, "end": 1533.53, "word": " أن", "probability": 0.31494140625}, {"start": 1533.53, "end": 1533.91, "word": " يوجد", "probability": 0.94970703125}, {"start": 1533.91, "end": 1534.25, "word": " C", "probability": 0.92041015625}, {"start": 1534.25, "end": 1534.51, "word": " في", "probability": 0.92333984375}, {"start": 1534.51, "end": 1535.01, "word": " الفترة", "probability": 0.9791666666666666}, {"start": 1535.01, "end": 1535.33, "word": " I", "probability": 0.95947265625}, {"start": 1535.33, "end": 1536.39, "word": " بين", "probability": 0.86474609375}, {"start": 1536.39, "end": 1536.67, "word": " A", "probability": 0.9599609375}, {"start": 1536.67, "end": 1537.05, "word": " وB", "probability": 0.728515625}, {"start": 1537.05, "end": 1538.69, "word": " وقيمتها", "probability": 0.8087890625}, {"start": 1538.69, "end": 1538.91, "word": " عند", "probability": 0.9599609375}, {"start": 1538.91, "end": 1539.21, "word": " C", "probability": 0.875}, {"start": 1539.21, "end": 1539.99, "word": " بساوي", "probability": 0.9464111328125}, {"start": 1539.99, "end": 1540.65, "word": " LK", "probability": 0.6153564453125}, {"start": 1540.65, "end": 1542.99, "word": " إذا", "probability": 0.595703125}, {"start": 1542.99, "end": 1543.19, "word": " نليك", "probability": 0.6455891927083334}, {"start": 1543.19, "end": 1543.51, "word": " بيكون", "probability": 0.7011311848958334}, {"start": 1543.51, "end": 1544.27, "word": " برهاننا", "probability": 0.8572265625}, {"start": 1544.27, "end": 1546.69, "word": " Bolzano's", "probability": 0.7930908203125}, {"start": 1546.69, "end": 1547.57, "word": " Intermediate", "probability": 0.7769368489583334}, {"start": 1547.57, "end": 1547.93, "word": " Value", "probability": 0.85791015625}], "temperature": 1.0}, {"id": 57, "seek": 156317, "start": 1555.03, "end": 1563.17, "text": "الان هذه النظرية في عليها نتيجة مهمة", "tokens": [6027, 7649, 29538, 28239, 19913, 2288, 10632, 8978, 25894, 11296, 8717, 31371, 7435, 3660, 3714, 16095, 3660], "avg_logprob": -0.222656244205104, "compression_ratio": 1.0153846153846153, "no_speech_prob": 0.0, "words": [{"start": 1555.03, "end": 1555.53, "word": "الان", "probability": 0.896240234375}, {"start": 1555.53, "end": 1555.91, "word": " هذه", "probability": 0.7099609375}, {"start": 1555.91, "end": 1557.49, "word": " النظرية", "probability": 0.94384765625}, {"start": 1557.49, "end": 1558.49, "word": " في", "probability": 0.50390625}, {"start": 1558.49, "end": 1558.89, "word": " عليها", "probability": 0.97314453125}, {"start": 1558.89, "end": 1559.57, "word": " نتيجة", "probability": 0.99560546875}, {"start": 1559.57, "end": 1563.17, "word": " مهمة", "probability": 0.982421875}], "temperature": 1.0}, {"id": 58, "seek": 160591, "start": 1580.17, "end": 1605.91, "text": "let I بساوي closed and bounded interval and if the function from I to R be continuous واتصلة على الفترة I تمام؟ لو كان", "tokens": [2631, 286, 4724, 3794, 995, 45865, 5395, 293, 37498, 15035, 293, 498, 264, 2445, 490, 286, 281, 497, 312, 10957, 4032, 9307, 36520, 3660, 15844, 27188, 2655, 25720, 286, 46811, 10943, 22807, 45164, 25961], "avg_logprob": -0.27678571769169397, "compression_ratio": 1.112781954887218, "no_speech_prob": 0.0, "words": [{"start": 1580.17, "end": 1580.67, "word": "let", "probability": 0.329345703125}, {"start": 1580.67, "end": 1581.31, "word": " I", "probability": 0.7197265625}, {"start": 1581.31, "end": 1581.99, "word": " بساوي", "probability": 0.57977294921875}, {"start": 1581.99, "end": 1582.77, "word": " closed", "probability": 0.78515625}, {"start": 1582.77, "end": 1583.19, "word": " and", "probability": 0.92919921875}, {"start": 1583.19, "end": 1583.69, "word": " bounded", "probability": 0.89013671875}, {"start": 1583.69, "end": 1584.41, "word": " interval", "probability": 0.970703125}, {"start": 1584.41, "end": 1585.07, "word": " and", "probability": 0.81005859375}, {"start": 1585.07, "end": 1585.59, "word": " if", "probability": 0.75390625}, {"start": 1585.59, "end": 1586.91, "word": " the", "probability": 0.47900390625}, {"start": 1586.91, "end": 1587.67, "word": " function", "probability": 0.90478515625}, {"start": 1587.67, "end": 1588.19, "word": " from", "probability": 0.900390625}, {"start": 1588.19, "end": 1588.85, "word": " I", "probability": 0.9814453125}, {"start": 1588.85, "end": 1589.21, "word": " to", "probability": 0.97607421875}, {"start": 1589.21, "end": 1589.77, "word": " R", "probability": 0.98828125}, {"start": 1589.77, "end": 1592.19, "word": " be", "probability": 0.51318359375}, {"start": 1592.19, "end": 1593.37, "word": " continuous", "probability": 0.89453125}, {"start": 1593.37, "end": 1595.61, "word": " واتصلة", "probability": 0.6656494140625}, {"start": 1595.61, "end": 1597.07, "word": " على", "probability": 0.92236328125}, {"start": 1597.07, "end": 1598.23, "word": " الفترة", "probability": 0.9820963541666666}, {"start": 1598.23, "end": 1598.85, "word": " I", "probability": 0.98486328125}, {"start": 1598.85, "end": 1602.59, "word": " تمام؟", "probability": 0.614501953125}, {"start": 1602.59, "end": 1605.47, "word": " لو", "probability": 0.93701171875}, {"start": 1605.47, "end": 1605.91, "word": " كان", "probability": 0.99755859375}], "temperature": 1.0}, {"id": 59, "seek": 163497, "start": 1608.57, "end": 1634.97, "text": "فك عدد حقيقي satisfies بيحقق الشرط التالي انه ك .. العدد ك هذا أكبر من أو ساوي ال infimum لست f of I اللي هو range ال F", "tokens": [5172, 4117, 6225, 3215, 3215, 11331, 38436, 38436, 5519, 414, 82, 4724, 1829, 5016, 4587, 4587, 25124, 2288, 9566, 16712, 6027, 1829, 16472, 3224, 9122, 4386, 18863, 3215, 3215, 9122, 23758, 5551, 4117, 26890, 9154, 34051, 8608, 995, 45865, 2423, 1536, 332, 449, 5296, 14851, 283, 295, 286, 13672, 1829, 31439, 3613, 2423, 479], "avg_logprob": -0.31051134954799303, "compression_ratio": 1.297872340425532, "no_speech_prob": 0.0, "words": [{"start": 1608.57, "end": 1609.33, "word": "فك", "probability": 0.498291015625}, {"start": 1609.33, "end": 1609.93, "word": " عدد", "probability": 0.8606770833333334}, {"start": 1609.93, "end": 1610.75, "word": " حقيقي", "probability": 0.9658203125}, {"start": 1610.75, "end": 1621.13, "word": " satisfies", "probability": 0.4862467447916667}, {"start": 1621.13, "end": 1621.87, "word": " بيحقق", "probability": 0.805615234375}, {"start": 1621.87, "end": 1622.35, "word": " الشرط", "probability": 0.9500325520833334}, {"start": 1622.35, "end": 1622.91, "word": " التالي", "probability": 0.97314453125}, {"start": 1622.91, "end": 1624.05, "word": " انه", "probability": 0.4676513671875}, {"start": 1624.05, "end": 1624.33, "word": " ك", "probability": 0.59130859375}, {"start": 1624.33, "end": 1625.15, "word": " ..", "probability": 0.1685791015625}, {"start": 1625.15, "end": 1625.79, "word": " العدد", "probability": 0.9698893229166666}, {"start": 1625.79, "end": 1626.03, "word": " ك", "probability": 0.9169921875}, {"start": 1626.03, "end": 1626.51, "word": " هذا", "probability": 0.9306640625}, {"start": 1626.51, "end": 1627.83, "word": " أكبر", "probability": 0.8380533854166666}, {"start": 1627.83, "end": 1628.01, "word": " من", "probability": 0.88330078125}, {"start": 1628.01, "end": 1628.25, "word": " أو", "probability": 0.87841796875}, {"start": 1628.25, "end": 1628.93, "word": " ساوي", "probability": 0.9651692708333334}, {"start": 1628.93, "end": 1630.13, "word": " ال", "probability": 0.89208984375}, {"start": 1630.13, "end": 1630.87, "word": " infimum", "probability": 0.6845703125}, {"start": 1630.87, "end": 1632.69, "word": " لست", "probability": 0.57861328125}, {"start": 1632.69, "end": 1633.09, "word": " f", "probability": 0.640625}, {"start": 1633.09, "end": 1633.35, "word": " of", "probability": 0.61962890625}, {"start": 1633.35, "end": 1633.67, "word": " I", "probability": 0.430908203125}, {"start": 1633.67, "end": 1633.85, "word": " اللي", "probability": 0.89794921875}, {"start": 1633.85, "end": 1634.07, "word": " هو", "probability": 0.982421875}, {"start": 1634.07, "end": 1634.47, "word": " range", "probability": 0.8779296875}, {"start": 1634.47, "end": 1634.67, "word": " ال", "probability": 0.51904296875}, {"start": 1634.67, "end": 1634.97, "word": " F", "probability": 0.80029296875}], "temperature": 1.0}, {"id": 60, "seek": 165631, "start": 1635.73, "end": 1656.31, "text": "اللي هي القيمة الصغيرة المطلقة ل F على I وأصغر من أوسعه ال supremum ل range ال F اللي هي ال absolute maximum value ل ال function F على I ففي الحالة هذه من نقدر نلاقي C there exist", "tokens": [6027, 20292, 39896, 25062, 32640, 3660, 31767, 17082, 48923, 9673, 9566, 1211, 28671, 5296, 479, 15844, 286, 36725, 9381, 17082, 2288, 9154, 34051, 3794, 3615, 3224, 2423, 23710, 449, 5296, 3613, 2423, 479, 13672, 1829, 39896, 2423, 8236, 6674, 2158, 5296, 2423, 2445, 479, 15844, 286, 6156, 41185, 21542, 6027, 3660, 29538, 9154, 8717, 28543, 2288, 8717, 15040, 38436, 383, 456, 2514], "avg_logprob": -0.3112599244193425, "compression_ratio": 1.4775280898876404, "no_speech_prob": 0.0, "words": [{"start": 1635.73, "end": 1636.09, "word": "اللي", "probability": 0.59326171875}, {"start": 1636.09, "end": 1636.33, "word": " هي", "probability": 0.95703125}, {"start": 1636.33, "end": 1636.85, "word": " القيمة", "probability": 0.88818359375}, {"start": 1636.85, "end": 1637.19, "word": " الصغيرة", "probability": 0.78564453125}, {"start": 1637.19, "end": 1637.75, "word": " المطلقة", "probability": 0.9652099609375}, {"start": 1637.75, "end": 1637.91, "word": " ل", "probability": 0.875}, {"start": 1637.91, "end": 1638.17, "word": " F", "probability": 0.2366943359375}, {"start": 1638.17, "end": 1638.39, "word": " على", "probability": 0.458984375}, {"start": 1638.39, "end": 1638.75, "word": " I", "probability": 0.95458984375}, {"start": 1638.75, "end": 1639.91, "word": " وأصغر", "probability": 0.830078125}, {"start": 1639.91, "end": 1640.03, "word": " من", "probability": 0.9892578125}, {"start": 1640.03, "end": 1640.59, "word": " أوسعه", "probability": 0.60809326171875}, {"start": 1640.59, "end": 1640.71, "word": " ال", "probability": 0.427734375}, {"start": 1640.71, "end": 1641.47, "word": " supremum", "probability": 0.656005859375}, {"start": 1641.47, "end": 1642.43, "word": " ل", "probability": 0.88232421875}, {"start": 1642.43, "end": 1642.87, "word": " range", "probability": 0.84619140625}, {"start": 1642.87, "end": 1643.09, "word": " ال", "probability": 0.25439453125}, {"start": 1643.09, "end": 1643.39, "word": " F", "probability": 0.9150390625}, {"start": 1643.39, "end": 1644.19, "word": " اللي", "probability": 0.86767578125}, {"start": 1644.19, "end": 1644.37, "word": " هي", "probability": 0.94482421875}, {"start": 1644.37, "end": 1644.51, "word": " ال", "probability": 0.374267578125}, {"start": 1644.51, "end": 1644.89, "word": " absolute", "probability": 0.8212890625}, {"start": 1644.89, "end": 1645.51, "word": " maximum", "probability": 0.94140625}, {"start": 1645.51, "end": 1646.03, "word": " value", "probability": 0.99267578125}, {"start": 1646.03, "end": 1646.19, "word": " ل", "probability": 0.56494140625}, {"start": 1646.19, "end": 1646.31, "word": " ال", "probability": 0.52001953125}, {"start": 1646.31, "end": 1646.59, "word": " function", "probability": 0.9296875}, {"start": 1646.59, "end": 1646.93, "word": " F", "probability": 0.8525390625}, {"start": 1646.93, "end": 1647.13, "word": " على", "probability": 0.8203125}, {"start": 1647.13, "end": 1647.57, "word": " I", "probability": 0.9873046875}, {"start": 1647.57, "end": 1649.17, "word": " ففي", "probability": 0.863037109375}, {"start": 1649.17, "end": 1649.57, "word": " الحالة", "probability": 0.9664713541666666}, {"start": 1649.57, "end": 1649.85, "word": " هذه", "probability": 0.7392578125}, {"start": 1649.85, "end": 1650.21, "word": " من", "probability": 0.10931396484375}, {"start": 1650.21, "end": 1652.37, "word": " نقدر", "probability": 0.9049479166666666}, {"start": 1652.37, "end": 1653.05, "word": " نلاقي", "probability": 0.9482421875}, {"start": 1653.05, "end": 1655.29, "word": " C", "probability": 0.66162109375}, {"start": 1655.29, "end": 1655.81, "word": " there", "probability": 0.56640625}, {"start": 1655.81, "end": 1656.31, "word": " exist", "probability": 0.61083984375}], "temperature": 1.0}, {"id": 61, "seek": 168544, "start": 1658.22, "end": 1685.44, "text": "C ينتمي للفترة I بحيث ان F of C بيساوي العدد K وبرهان النظرية هذه سهل By maximum minimum theorem", "tokens": [34, 7251, 29399, 2304, 1829, 24976, 5172, 2655, 25720, 286, 4724, 5016, 1829, 12984, 16472, 479, 295, 383, 4724, 1829, 3794, 995, 45865, 18863, 3215, 3215, 591, 4032, 26890, 3224, 7649, 28239, 19913, 2288, 10632, 29538, 8608, 3224, 1211, 3146, 6674, 7285, 20904], "avg_logprob": -0.22425426271828738, "compression_ratio": 1.144, "no_speech_prob": 0.0, "words": [{"start": 1658.22, "end": 1658.74, "word": "C", "probability": 0.330810546875}, {"start": 1658.74, "end": 1659.5, "word": " ينتمي", "probability": 0.91943359375}, {"start": 1659.5, "end": 1660.22, "word": " للفترة", "probability": 0.927001953125}, {"start": 1660.22, "end": 1660.8, "word": " I", "probability": 0.91455078125}, {"start": 1660.8, "end": 1662.26, "word": " بحيث", "probability": 0.91796875}, {"start": 1662.26, "end": 1662.48, "word": " ان", "probability": 0.4970703125}, {"start": 1662.48, "end": 1663.02, "word": " F", "probability": 0.56396484375}, {"start": 1663.02, "end": 1663.52, "word": " of", "probability": 0.4560546875}, {"start": 1663.52, "end": 1664.14, "word": " C", "probability": 0.94384765625}, {"start": 1664.14, "end": 1665.7, "word": " بيساوي", "probability": 0.5741455078125}, {"start": 1665.7, "end": 1666.18, "word": " العدد", "probability": 0.9044596354166666}, {"start": 1666.18, "end": 1666.54, "word": " K", "probability": 0.88134765625}, {"start": 1666.54, "end": 1671.4, "word": " وبرهان", "probability": 0.81158447265625}, {"start": 1671.4, "end": 1672.02, "word": " النظرية", "probability": 0.956298828125}, {"start": 1672.02, "end": 1672.48, "word": " هذه", "probability": 0.6298828125}, {"start": 1672.48, "end": 1673.84, "word": " سهل", "probability": 0.9894205729166666}, {"start": 1673.84, "end": 1680.44, "word": " By", "probability": 0.50634765625}, {"start": 1680.44, "end": 1681.5, "word": " maximum", "probability": 0.61865234375}, {"start": 1681.5, "end": 1684.26, "word": " minimum", "probability": 0.677734375}, {"start": 1684.26, "end": 1685.44, "word": " theorem", "probability": 0.8818359375}], "temperature": 1.0}, {"id": 62, "seek": 171776, "start": 1691.04, "end": 1717.76, "text": "الـ maximum minimum theorem بتقول لو كان في أندي function مفتصلة على فترة مغلقة ومحدودة فال function هذه بتأخذ قيمها العظمى المطلقة وقيمتها العظمى المطلقة وقيمتها العظمى المطلقة على الفترة I يعني في أعداد في الفترة I أندها ال function بتاخد قيمتها العظمى المطلقة وقيمتها العظمى المطلقة", "tokens": [6027, 39184, 6674, 7285, 20904, 39894, 39648, 45164, 25961, 8978, 14739, 16254, 2445, 3714, 5172, 2655, 36520, 3660, 15844, 6156, 2655, 25720, 3714, 17082, 1211, 28671, 4032, 2304, 24401, 23328, 3660, 6156, 6027, 2445, 29538, 39894, 10721, 9778, 8848, 12174, 32640, 11296, 18863, 19913, 2304, 7578, 9673, 9566, 1211, 28671, 4032, 4587, 32640, 2655, 11296, 18863, 19913, 2304, 7578, 9673, 9566, 1211, 28671, 4032, 4587, 32640, 2655, 11296, 18863, 19913, 2304, 7578, 9673, 9566, 1211, 28671, 15844, 27188, 2655, 25720, 286, 37495, 22653, 8978, 5551, 22488, 18513, 8978, 27188, 2655, 25720, 286, 14739, 3215, 11296, 2423, 2445, 39894, 47283, 3215, 12174, 32640, 2655, 11296, 18863, 19913, 2304, 7578, 9673, 9566, 1211, 28671, 4032, 4587, 32640, 2655, 11296, 18863, 19913, 2304, 7578, 9673, 9566, 1211, 28671], "avg_logprob": -0.19419642667921763, "compression_ratio": 2.385, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1691.04, "end": 1691.42, "word": "الـ", "probability": 0.24468994140625}, {"start": 1691.42, "end": 1691.72, "word": " maximum", "probability": 0.37744140625}, {"start": 1691.72, "end": 1692.04, "word": " minimum", "probability": 0.857421875}, {"start": 1692.04, "end": 1692.82, "word": " theorem", "probability": 0.68701171875}, {"start": 1692.82, "end": 1693.24, "word": " بتقول", "probability": 0.930419921875}, {"start": 1693.24, "end": 1693.44, "word": " لو", "probability": 0.6435546875}, {"start": 1693.44, "end": 1693.68, "word": " كان", "probability": 0.986328125}, {"start": 1693.68, "end": 1693.8, "word": " في", "probability": 0.4453125}, {"start": 1693.8, "end": 1694.04, "word": " أندي", "probability": 0.43914794921875}, {"start": 1694.04, "end": 1694.42, "word": " function", "probability": 0.7666015625}, {"start": 1694.42, "end": 1695.34, "word": " مفتصلة", "probability": 0.85556640625}, {"start": 1695.34, "end": 1696.08, "word": " على", "probability": 0.89501953125}, {"start": 1696.08, "end": 1696.48, "word": " فترة", "probability": 0.9925130208333334}, {"start": 1696.48, "end": 1696.92, "word": " مغلقة", "probability": 0.9398193359375}, {"start": 1696.92, "end": 1697.86, "word": " ومحدودة", "probability": 0.8986328125}, {"start": 1697.86, "end": 1698.64, "word": " فال", "probability": 0.953125}, {"start": 1698.64, "end": 1698.94, "word": " function", "probability": 0.52490234375}, {"start": 1698.94, "end": 1699.44, "word": " هذه", "probability": 0.6083984375}, {"start": 1699.44, "end": 1700.52, "word": " بتأخذ", "probability": 0.850830078125}, {"start": 1700.52, "end": 1700.96, "word": " قيمها", "probability": 0.9108072916666666}, {"start": 1700.96, "end": 1701.46, "word": " العظمى", "probability": 0.6514892578125}, {"start": 1701.46, "end": 1702.18, "word": " المطلقة", "probability": 0.974853515625}, {"start": 1702.18, "end": 1704.02, "word": " وقيمتها", "probability": 0.8806640625}, {"start": 1704.02, "end": 1706.32, "word": " العظمى", "probability": 0.76641845703125}, {"start": 1706.32, "end": 1706.82, "word": " المطلقة", "probability": 0.966552734375}, {"start": 1706.82, "end": 1707.6, "word": " وقيمتها", "probability": 0.88056640625}, {"start": 1707.6, "end": 1707.92, "word": " العظمى", "probability": 0.8787841796875}, {"start": 1707.92, "end": 1708.38, "word": " المطلقة", "probability": 0.9599609375}, {"start": 1708.38, "end": 1708.58, "word": " على", "probability": 0.43896484375}, {"start": 1708.58, "end": 1709.1, "word": " الفترة", "probability": 0.9822591145833334}, {"start": 1709.1, "end": 1709.36, "word": " I", "probability": 0.68212890625}, {"start": 1709.36, "end": 1710.46, "word": " يعني", "probability": 0.8447265625}, {"start": 1710.46, "end": 1710.68, "word": " في", "probability": 0.83203125}, {"start": 1710.68, "end": 1711.44, "word": " أعداد", "probability": 0.93212890625}, {"start": 1711.44, "end": 1711.7, "word": " في", "probability": 0.474853515625}, {"start": 1711.7, "end": 1712.22, "word": " الفترة", "probability": 0.9861653645833334}, {"start": 1712.22, "end": 1712.62, "word": " I", "probability": 0.982421875}, {"start": 1712.62, "end": 1713.94, "word": " أندها", "probability": 0.7190755208333334}, {"start": 1713.94, "end": 1714.06, "word": " ال", "probability": 0.962890625}, {"start": 1714.06, "end": 1714.4, "word": " function", "probability": 0.87744140625}, {"start": 1714.4, "end": 1714.92, "word": " بتاخد", "probability": 0.6974283854166666}, {"start": 1714.92, "end": 1715.4, "word": " قيمتها", "probability": 0.989990234375}, {"start": 1715.4, "end": 1715.76, "word": " العظمى", "probability": 0.9580078125}, {"start": 1715.76, "end": 1716.24, "word": " المطلقة", "probability": 0.9705810546875}, {"start": 1716.24, "end": 1716.8, "word": " وقيمتها", "probability": 0.9541015625}, {"start": 1716.8, "end": 1717.22, "word": " العظمى", "probability": 0.9835205078125}, {"start": 1717.22, "end": 1717.76, "word": " المطلقة", "probability": 0.982666015625}], "temperature": 1.0}, {"id": 63, "seek": 174087, "start": 1720.91, "end": 1740.87, "text": "إذاً there exist x lower star و x super star عناصر في I بحيث أن ال F of x lower star بساول infimum", "tokens": [28814, 15730, 14111, 456, 2514, 2031, 3126, 3543, 4032, 2031, 1687, 3543, 18871, 33546, 2288, 8978, 286, 4724, 5016, 1829, 12984, 14739, 2423, 479, 295, 2031, 3126, 3543, 4724, 3794, 995, 12610, 1536, 332, 449], "avg_logprob": -0.3632812491721577, "compression_ratio": 1.1081081081081081, "no_speech_prob": 0.0, "words": [{"start": 1720.9100000000003, "end": 1722.2700000000002, "word": "إذاً", "probability": 0.4298909505208333}, {"start": 1722.2700000000002, "end": 1723.63, "word": " there", "probability": 0.468017578125}, {"start": 1723.63, "end": 1724.29, "word": " exist", "probability": 0.77685546875}, {"start": 1724.29, "end": 1726.77, "word": " x", "probability": 0.72314453125}, {"start": 1726.77, "end": 1727.25, "word": " lower", "probability": 0.58544921875}, {"start": 1727.25, "end": 1727.89, "word": " star", "probability": 0.89892578125}, {"start": 1727.89, "end": 1729.27, "word": " و", "probability": 0.955078125}, {"start": 1729.27, "end": 1729.57, "word": " x", "probability": 0.76904296875}, {"start": 1729.57, "end": 1729.99, "word": " super", "probability": 0.38720703125}, {"start": 1729.99, "end": 1730.51, "word": " star", "probability": 0.84375}, {"start": 1730.51, "end": 1731.33, "word": " عناصر", "probability": 0.9659830729166666}, {"start": 1731.33, "end": 1731.57, "word": " في", "probability": 0.953125}, {"start": 1731.57, "end": 1731.87, "word": " I", "probability": 0.7958984375}, {"start": 1731.87, "end": 1733.43, "word": " بحيث", "probability": 0.947509765625}, {"start": 1733.43, "end": 1733.95, "word": " أن", "probability": 0.53857421875}, {"start": 1733.95, "end": 1735.35, "word": " ال", "probability": 0.521484375}, {"start": 1735.35, "end": 1736.07, "word": " F", "probability": 0.693359375}, {"start": 1736.07, "end": 1736.75, "word": " of", "probability": 0.935546875}, {"start": 1736.75, "end": 1737.19, "word": " x", "probability": 0.85400390625}, {"start": 1737.19, "end": 1737.67, "word": " lower", "probability": 0.85791015625}, {"start": 1737.67, "end": 1738.39, "word": " star", "probability": 0.9521484375}, {"start": 1738.39, "end": 1740.09, "word": " بساول", "probability": 0.6600341796875}, {"start": 1740.09, "end": 1740.87, "word": " infimum", "probability": 0.5353190104166666}], "temperature": 1.0}, {"id": 64, "seek": 176775, "start": 1741.75, "end": 1767.75, "text": "لسيت f of i and f of x super star بيساوي ال supremum لسيت f of i تمام hence", "tokens": [1211, 3794, 36081, 283, 295, 741, 293, 283, 295, 2031, 1687, 3543, 4724, 1829, 3794, 995, 45865, 2423, 23710, 449, 5296, 3794, 36081, 283, 295, 741, 46811, 10943, 16678], "avg_logprob": -0.3981770714124044, "compression_ratio": 1.1585365853658536, "no_speech_prob": 0.0, "words": [{"start": 1741.75, "end": 1742.77, "word": "لسيت", "probability": 0.22882080078125}, {"start": 1742.77, "end": 1743.09, "word": " f", "probability": 0.450439453125}, {"start": 1743.09, "end": 1743.35, "word": " of", "probability": 0.7099609375}, {"start": 1743.35, "end": 1743.81, "word": " i", "probability": 0.63427734375}, {"start": 1743.81, "end": 1744.49, "word": " and", "probability": 0.70361328125}, {"start": 1744.49, "end": 1746.13, "word": " f", "probability": 0.74609375}, {"start": 1746.13, "end": 1746.87, "word": " of", "probability": 0.9560546875}, {"start": 1746.87, "end": 1747.21, "word": " x", "probability": 0.9609375}, {"start": 1747.21, "end": 1747.61, "word": " super", "probability": 0.41015625}, {"start": 1747.61, "end": 1748.35, "word": " star", "probability": 0.61083984375}, {"start": 1748.35, "end": 1750.03, "word": " بيساوي", "probability": 0.7490234375}, {"start": 1750.03, "end": 1750.23, "word": " ال", "probability": 0.6826171875}, {"start": 1750.23, "end": 1751.37, "word": " supremum", "probability": 0.777099609375}, {"start": 1751.37, "end": 1755.05, "word": " لسيت", "probability": 0.8575846354166666}, {"start": 1755.05, "end": 1755.57, "word": " f", "probability": 0.8984375}, {"start": 1755.57, "end": 1756.09, "word": " of", "probability": 0.9658203125}, {"start": 1756.09, "end": 1756.73, "word": " i", "probability": 0.8330078125}, {"start": 1756.73, "end": 1766.27, "word": " تمام", "probability": 0.928466796875}, {"start": 1766.27, "end": 1767.75, "word": " hence", "probability": 0.576171875}], "temperature": 1.0}, {"id": 65, "seek": 179199, "start": 1771.91, "end": 1791.99, "text": "by حسب ال hypothesis ال hypothesis star من الفرض ال star اللي هو احنا فرضين انه ال key عدد key هذا بحق المتباينة يعني we have لدينا", "tokens": [2322, 11331, 35457, 2423, 17291, 2423, 17291, 3543, 9154, 27188, 43042, 2423, 3543, 13672, 1829, 31439, 1975, 5016, 8315, 6156, 43042, 9957, 16472, 3224, 2423, 2141, 6225, 3215, 3215, 2141, 23758, 4724, 5016, 4587, 9673, 2655, 3555, 995, 9957, 3660, 37495, 22653, 321, 362, 5296, 16254, 8315], "avg_logprob": -0.2879231783250968, "compression_ratio": 1.4477611940298507, "no_speech_prob": 0.0, "words": [{"start": 1771.9099999999999, "end": 1772.83, "word": "by", "probability": 0.3046875}, {"start": 1772.83, "end": 1773.75, "word": " حسب", "probability": 0.79248046875}, {"start": 1773.75, "end": 1774.11, "word": " ال", "probability": 0.77783203125}, {"start": 1774.11, "end": 1774.81, "word": " hypothesis", "probability": 0.43994140625}, {"start": 1774.81, "end": 1776.57, "word": " ال", "probability": 0.59228515625}, {"start": 1776.57, "end": 1777.41, "word": " hypothesis", "probability": 0.865234375}, {"start": 1777.41, "end": 1779.63, "word": " star", "probability": 0.517578125}, {"start": 1779.63, "end": 1781.23, "word": " من", "probability": 0.9375}, {"start": 1781.23, "end": 1781.67, "word": " الفرض", "probability": 0.93212890625}, {"start": 1781.67, "end": 1781.95, "word": " ال", "probability": 0.5205078125}, {"start": 1781.95, "end": 1782.21, "word": " star", "probability": 0.65380859375}, {"start": 1782.21, "end": 1782.41, "word": " اللي", "probability": 0.819091796875}, {"start": 1782.41, "end": 1782.59, "word": " هو", "probability": 0.65966796875}, {"start": 1782.59, "end": 1782.89, "word": " احنا", "probability": 0.81884765625}, {"start": 1782.89, "end": 1783.45, "word": " فرضين", "probability": 0.97509765625}, {"start": 1783.45, "end": 1783.71, "word": " انه", "probability": 0.6259765625}, {"start": 1783.71, "end": 1783.79, "word": " ال", "probability": 0.194091796875}, {"start": 1783.79, "end": 1783.91, "word": " key", "probability": 0.56884765625}, {"start": 1783.91, "end": 1784.23, "word": " عدد", "probability": 0.93017578125}, {"start": 1784.23, "end": 1784.45, "word": " key", "probability": 0.4306640625}, {"start": 1784.45, "end": 1784.75, "word": " هذا", "probability": 0.70458984375}, {"start": 1784.75, "end": 1785.33, "word": " بحق", "probability": 0.87939453125}, {"start": 1785.33, "end": 1787.11, "word": " المتباينة", "probability": 0.9232584635416666}, {"start": 1787.11, "end": 1789.39, "word": " يعني", "probability": 0.7158203125}, {"start": 1789.39, "end": 1790.79, "word": " we", "probability": 0.83251953125}, {"start": 1790.79, "end": 1791.25, "word": " have", "probability": 0.9677734375}, {"start": 1791.25, "end": 1791.99, "word": " لدينا", "probability": 0.8430989583333334}], "temperature": 1.0}, {"id": 66, "seek": 181845, "start": 1793.49, "end": 1818.45, "text": "الـ k أكبر من أو ساوي f of x lower star أصغر من أو ساوي f of upper star و ال function and if is continuous", "tokens": [6027, 39184, 350, 5551, 4117, 26890, 9154, 34051, 8608, 995, 45865, 283, 295, 2031, 3126, 3543, 5551, 9381, 17082, 2288, 9154, 34051, 8608, 995, 45865, 283, 295, 6597, 3543, 4032, 2423, 2445, 293, 498, 307, 10957], "avg_logprob": -0.1726140251030793, "compression_ratio": 1.2830188679245282, "no_speech_prob": 0.0, "words": [{"start": 1793.49, "end": 1793.89, "word": "الـ", "probability": 0.6026611328125}, {"start": 1793.89, "end": 1794.31, "word": " k", "probability": 0.274169921875}, {"start": 1794.31, "end": 1795.21, "word": " أكبر", "probability": 0.9308268229166666}, {"start": 1795.21, "end": 1795.45, "word": " من", "probability": 0.876953125}, {"start": 1795.45, "end": 1795.67, "word": " أو", "probability": 0.93408203125}, {"start": 1795.67, "end": 1796.33, "word": " ساوي", "probability": 0.9431966145833334}, {"start": 1796.33, "end": 1796.89, "word": " f", "probability": 0.59423828125}, {"start": 1796.89, "end": 1798.41, "word": " of", "probability": 0.69873046875}, {"start": 1798.41, "end": 1798.85, "word": " x", "probability": 0.88916015625}, {"start": 1798.85, "end": 1799.29, "word": " lower", "probability": 0.71923828125}, {"start": 1799.29, "end": 1799.99, "word": " star", "probability": 0.923828125}, {"start": 1799.99, "end": 1801.29, "word": " أصغر", "probability": 0.9754638671875}, {"start": 1801.29, "end": 1801.45, "word": " من", "probability": 0.99609375}, {"start": 1801.45, "end": 1801.63, "word": " أو", "probability": 0.98583984375}, {"start": 1801.63, "end": 1802.35, "word": " ساوي", "probability": 0.9700520833333334}, {"start": 1802.35, "end": 1806.97, "word": " f", "probability": 0.87548828125}, {"start": 1806.97, "end": 1807.67, "word": " of", "probability": 0.97314453125}, {"start": 1807.67, "end": 1809.71, "word": " upper", "probability": 0.72998046875}, {"start": 1809.71, "end": 1810.31, "word": " star", "probability": 0.95556640625}, {"start": 1810.31, "end": 1815.37, "word": " و", "probability": 0.515625}, {"start": 1815.37, "end": 1815.53, "word": " ال", "probability": 0.8388671875}, {"start": 1815.53, "end": 1816.03, "word": " function", "probability": 0.828125}, {"start": 1816.03, "end": 1816.67, "word": " and", "probability": 0.931640625}, {"start": 1816.67, "end": 1817.15, "word": " if", "probability": 0.58251953125}, {"start": 1817.15, "end": 1817.75, "word": " is", "probability": 0.86962890625}, {"start": 1817.75, "end": 1818.45, "word": " continuous", "probability": 0.8896484375}], "temperature": 1.0}, {"id": 67, "seek": 184283, "start": 1820.03, "end": 1842.83, "text": "على الفترة المغلقة من x lower star ل x super star او لعكس ممكن يكونوا متبادلة تانية او x super star x lower star", "tokens": [3615, 23942, 27188, 2655, 25720, 9673, 17082, 1211, 28671, 9154, 2031, 3126, 3543, 5296, 2031, 1687, 3543, 1975, 2407, 5296, 3615, 4117, 3794, 3714, 43020, 7251, 30544, 14407, 44650, 3555, 18513, 37977, 6055, 7649, 10632, 1975, 2407, 2031, 1687, 3543, 2031, 3126, 3543], "avg_logprob": -0.3190696124326099, "compression_ratio": 1.4, "no_speech_prob": 0.0, "words": [{"start": 1820.03, "end": 1820.49, "word": "على", "probability": 0.5833740234375}, {"start": 1820.49, "end": 1821.01, "word": " الفترة", "probability": 0.9817708333333334}, {"start": 1821.01, "end": 1821.63, "word": " المغلقة", "probability": 0.9683837890625}, {"start": 1821.63, "end": 1821.93, "word": " من", "probability": 0.9599609375}, {"start": 1821.93, "end": 1822.29, "word": " x", "probability": 0.4013671875}, {"start": 1822.29, "end": 1822.71, "word": " lower", "probability": 0.47412109375}, {"start": 1822.71, "end": 1823.35, "word": " star", "probability": 0.68798828125}, {"start": 1823.35, "end": 1823.53, "word": " ل", "probability": 0.79345703125}, {"start": 1823.53, "end": 1823.91, "word": " x", "probability": 0.8046875}, {"start": 1823.91, "end": 1824.43, "word": " super", "probability": 0.431640625}, {"start": 1824.43, "end": 1824.97, "word": " star", "probability": 0.8505859375}, {"start": 1824.97, "end": 1833.69, "word": " او", "probability": 0.6512451171875}, {"start": 1833.69, "end": 1834.09, "word": " لعكس", "probability": 0.7620849609375}, {"start": 1834.09, "end": 1834.37, "word": " ممكن", "probability": 0.59197998046875}, {"start": 1834.37, "end": 1835.01, "word": " يكونوا", "probability": 0.677734375}, {"start": 1835.01, "end": 1835.65, "word": " متبادلة", "probability": 0.80352783203125}, {"start": 1835.65, "end": 1836.87, "word": " تانية", "probability": 0.75439453125}, {"start": 1836.87, "end": 1838.49, "word": " او", "probability": 0.89404296875}, {"start": 1838.49, "end": 1840.25, "word": " x", "probability": 0.81689453125}, {"start": 1840.25, "end": 1840.73, "word": " super", "probability": 0.8349609375}, {"start": 1840.73, "end": 1841.29, "word": " star", "probability": 0.91357421875}, {"start": 1841.29, "end": 1841.65, "word": " x", "probability": 0.685546875}, {"start": 1841.65, "end": 1842.33, "word": " lower", "probability": 0.77783203125}, {"start": 1842.33, "end": 1842.83, "word": " star", "probability": 0.96923828125}], "temperature": 1.0}, {"id": 68, "seek": 185938, "start": 1843.6, "end": 1859.38, "text": "تعتمد على مين اللي أصغر من التانية إذا كانت هذه أصغر من هذه فهذه تطلع فترة داخل I و F continuous على I ايضا continuous على أي فترة جزئية منها وإذا كان ال X Superstar أصغر من X Lower Star فمناخد الفترة أيضا", "tokens": [2655, 34268, 2304, 3215, 15844, 3714, 9957, 13672, 1829, 5551, 9381, 17082, 2288, 9154, 16712, 7649, 10632, 11933, 15730, 25961, 2655, 29538, 5551, 9381, 17082, 2288, 9154, 29538, 6156, 3224, 24192, 6055, 9566, 1211, 3615, 6156, 2655, 25720, 11778, 47283, 1211, 286, 4032, 479, 10957, 15844, 286, 1975, 1829, 11242, 995, 10957, 15844, 36632, 6156, 2655, 25720, 10874, 11622, 19986, 10632, 9154, 11296, 4032, 28814, 15730, 25961, 2423, 1783, 4548, 9710, 5551, 9381, 17082, 2288, 9154, 1783, 25523, 5705, 6156, 27842, 47283, 3215, 27188, 2655, 25720, 36632, 11242, 995], "avg_logprob": -0.25746528638733757, "compression_ratio": 1.675257731958763, "no_speech_prob": 0.0, "words": [{"start": 1843.6, "end": 1844.24, "word": "تعتمد", "probability": 0.639495849609375}, {"start": 1844.24, "end": 1844.42, "word": " على", "probability": 0.8251953125}, {"start": 1844.42, "end": 1844.78, "word": " مين", "probability": 0.6328125}, {"start": 1844.78, "end": 1845.0, "word": " اللي", "probability": 0.75048828125}, {"start": 1845.0, "end": 1845.42, "word": " أصغر", "probability": 0.9287109375}, {"start": 1845.42, "end": 1845.58, "word": " من", "probability": 0.9814453125}, {"start": 1845.58, "end": 1846.12, "word": " التانية", "probability": 0.9173177083333334}, {"start": 1846.12, "end": 1846.32, "word": " إذا", "probability": 0.6251220703125}, {"start": 1846.32, "end": 1846.72, "word": " كانت", "probability": 0.8818359375}, {"start": 1846.72, "end": 1846.94, "word": " هذه", "probability": 0.45751953125}, {"start": 1846.94, "end": 1847.3, "word": " أصغر", "probability": 0.9849853515625}, {"start": 1847.3, "end": 1847.4, "word": " من", "probability": 0.95263671875}, {"start": 1847.4, "end": 1847.66, "word": " هذه", "probability": 0.9521484375}, {"start": 1847.66, "end": 1848.84, "word": " فهذه", "probability": 0.7902018229166666}, {"start": 1848.84, "end": 1849.22, "word": " تطلع", "probability": 0.8428955078125}, {"start": 1849.22, "end": 1849.64, "word": " فترة", "probability": 0.9669596354166666}, {"start": 1849.64, "end": 1850.1, "word": " داخل", "probability": 0.9641927083333334}, {"start": 1850.1, "end": 1850.4, "word": " I", "probability": 0.7646484375}, {"start": 1850.4, "end": 1850.6, "word": " و", "probability": 0.7392578125}, {"start": 1850.6, "end": 1850.76, "word": " F", "probability": 0.515625}, {"start": 1850.76, "end": 1851.22, "word": " continuous", "probability": 0.87158203125}, {"start": 1851.22, "end": 1851.52, "word": " على", "probability": 0.88818359375}, {"start": 1851.52, "end": 1851.72, "word": " I", "probability": 0.98828125}, {"start": 1851.72, "end": 1851.92, "word": " ايضا", "probability": 0.71795654296875}, {"start": 1851.92, "end": 1852.24, "word": " continuous", "probability": 0.358642578125}, {"start": 1852.24, "end": 1852.62, "word": " على", "probability": 0.9267578125}, {"start": 1852.62, "end": 1852.78, "word": " أي", "probability": 0.68115234375}, {"start": 1852.78, "end": 1853.22, "word": " فترة", "probability": 0.9845377604166666}, {"start": 1853.22, "end": 1854.34, "word": " جزئية", "probability": 0.80938720703125}, {"start": 1854.34, "end": 1854.62, "word": " منها", "probability": 0.907958984375}, {"start": 1854.62, "end": 1854.82, "word": " وإذا", "probability": 0.77978515625}, {"start": 1854.82, "end": 1855.04, "word": " كان", "probability": 0.9921875}, {"start": 1855.04, "end": 1855.16, "word": " ال", "probability": 0.64794921875}, {"start": 1855.16, "end": 1855.26, "word": " X", "probability": 0.9091796875}, {"start": 1855.26, "end": 1855.92, "word": " Superstar", "probability": 0.65380859375}, {"start": 1855.92, "end": 1856.4, "word": " أصغر", "probability": 0.99462890625}, {"start": 1856.4, "end": 1856.56, "word": " من", "probability": 0.9873046875}, {"start": 1856.56, "end": 1856.92, "word": " X", "probability": 0.96875}, {"start": 1856.92, "end": 1857.74, "word": " Lower", "probability": 0.78564453125}, {"start": 1857.74, "end": 1858.06, "word": " Star", "probability": 0.486328125}, {"start": 1858.06, "end": 1858.52, "word": " فمناخد", "probability": 0.796875}, {"start": 1858.52, "end": 1858.94, "word": " الفترة", "probability": 0.9814453125}, {"start": 1858.94, "end": 1859.38, "word": " أيضا", "probability": 0.7491861979166666}], "temperature": 1.0}, {"id": 69, "seek": 187607, "start": 1863.41, "end": 1876.07, "text": "شروط بولزانو فيروس تراسي فيرم هاي في عندي نقطتين A و B بينتموا للفترة I و F continuous على I", "tokens": [8592, 32887, 9566, 4724, 12610, 11622, 7649, 2407, 8978, 32887, 3794, 6055, 2288, 32277, 1829, 8978, 2288, 2304, 8032, 47302, 8978, 18871, 16254, 8717, 47432, 2655, 9957, 316, 4032, 363, 4724, 9957, 39237, 14407, 24976, 5172, 2655, 25720, 286, 4032, 479, 10957, 15844, 286], "avg_logprob": -0.4569444311989678, "compression_ratio": 1.2396694214876034, "no_speech_prob": 0.0, "words": [{"start": 1863.41, "end": 1864.19, "word": "شروط", "probability": 0.7033284505208334}, {"start": 1864.19, "end": 1864.97, "word": " بولزانو", "probability": 0.7437744140625}, {"start": 1864.97, "end": 1865.35, "word": " فيروس", "probability": 0.7422688802083334}, {"start": 1865.35, "end": 1865.73, "word": " تراسي", "probability": 0.4989013671875}, {"start": 1865.73, "end": 1866.11, "word": " فيرم", "probability": 0.4468587239583333}, {"start": 1866.11, "end": 1866.41, "word": " هاي", "probability": 0.3780517578125}, {"start": 1866.41, "end": 1866.51, "word": " في", "probability": 0.7197265625}, {"start": 1866.51, "end": 1866.97, "word": " عندي", "probability": 0.669921875}, {"start": 1866.97, "end": 1868.45, "word": " نقطتين", "probability": 0.9237060546875}, {"start": 1868.45, "end": 1868.85, "word": " A", "probability": 0.3583984375}, {"start": 1868.85, "end": 1869.09, "word": " و", "probability": 0.9326171875}, {"start": 1869.09, "end": 1869.43, "word": " B", "probability": 0.44873046875}, {"start": 1869.43, "end": 1872.43, "word": " بينتموا", "probability": 0.63385009765625}, {"start": 1872.43, "end": 1873.03, "word": " للفترة", "probability": 0.900146484375}, {"start": 1873.03, "end": 1873.41, "word": " I", "probability": 0.9443359375}, {"start": 1873.41, "end": 1874.25, "word": " و", "probability": 0.84716796875}, {"start": 1874.25, "end": 1874.49, "word": " F", "probability": 0.7607421875}, {"start": 1874.49, "end": 1875.27, "word": " continuous", "probability": 0.880859375}, {"start": 1875.27, "end": 1875.59, "word": " على", "probability": 0.79248046875}, {"start": 1875.59, "end": 1876.07, "word": " I", "probability": 0.9833984375}], "temperature": 1.0}, {"id": 70, "seek": 190707, "start": 1888.77, "end": 1907.07, "text": "وعندي a و b بينتموا للفترة I وعندي K أكبر من أو ساوي F of A أصغر من أو ساوي F of B so by Bolzano's", "tokens": [2407, 3615, 1863, 16254, 257, 4032, 272, 4724, 9957, 39237, 14407, 24976, 5172, 2655, 25720, 286, 4032, 3615, 1863, 16254, 591, 5551, 4117, 26890, 9154, 34051, 8608, 995, 45865, 479, 295, 316, 5551, 9381, 17082, 2288, 9154, 34051, 8608, 995, 45865, 479, 295, 363, 370, 538, 14331, 89, 3730, 311], "avg_logprob": -0.24877450629776598, "compression_ratio": 1.2695652173913043, "no_speech_prob": 0.0, "words": [{"start": 1888.77, "end": 1889.45, "word": "وعندي", "probability": 0.7110595703125}, {"start": 1889.45, "end": 1889.83, "word": " a", "probability": 0.6484375}, {"start": 1889.83, "end": 1890.03, "word": " و", "probability": 0.88671875}, {"start": 1890.03, "end": 1890.37, "word": " b", "probability": 0.66357421875}, {"start": 1890.37, "end": 1891.37, "word": " بينتموا", "probability": 0.751708984375}, {"start": 1891.37, "end": 1891.91, "word": " للفترة", "probability": 0.89697265625}, {"start": 1891.91, "end": 1892.29, "word": " I", "probability": 0.5390625}, {"start": 1892.29, "end": 1893.59, "word": " وعندي", "probability": 0.9365234375}, {"start": 1893.59, "end": 1894.09, "word": " K", "probability": 0.477783203125}, {"start": 1894.09, "end": 1894.75, "word": " أكبر", "probability": 0.9332682291666666}, {"start": 1894.75, "end": 1894.99, "word": " من", "probability": 0.869140625}, {"start": 1894.99, "end": 1895.19, "word": " أو", "probability": 0.82861328125}, {"start": 1895.19, "end": 1895.65, "word": " ساوي", "probability": 0.896484375}, {"start": 1895.65, "end": 1895.89, "word": " F", "probability": 0.576171875}, {"start": 1895.89, "end": 1896.07, "word": " of", "probability": 0.4287109375}, {"start": 1896.07, "end": 1896.29, "word": " A", "probability": 0.79248046875}, {"start": 1896.29, "end": 1896.77, "word": " أصغر", "probability": 0.7611083984375}, {"start": 1896.77, "end": 1896.91, "word": " من", "probability": 0.994140625}, {"start": 1896.91, "end": 1897.11, "word": " أو", "probability": 0.912109375}, {"start": 1897.11, "end": 1897.49, "word": " ساوي", "probability": 0.9661458333333334}, {"start": 1897.49, "end": 1897.73, "word": " F", "probability": 0.96533203125}, {"start": 1897.73, "end": 1897.93, "word": " of", "probability": 0.93701171875}, {"start": 1897.93, "end": 1898.83, "word": " B", "probability": 0.99072265625}, {"start": 1898.83, "end": 1901.83, "word": " so", "probability": 0.361083984375}, {"start": 1901.83, "end": 1903.01, "word": " by", "probability": 0.7783203125}, {"start": 1903.01, "end": 1907.07, "word": " Bolzano's", "probability": 0.8209228515625}], "temperature": 1.0}, {"id": 71, "seek": 193386, "start": 1917.18, "end": 1933.86, "text": "يوجد C ينتمي للفترة I بين X lower star و X super star", "tokens": [1829, 29245, 3215, 383, 7251, 29399, 2304, 1829, 24976, 5172, 2655, 25720, 286, 49374, 1783, 3126, 3543, 4032, 1783, 1687, 3543], "avg_logprob": -0.40767046402801166, "compression_ratio": 1.0, "no_speech_prob": 0.0, "words": [{"start": 1917.1799999999998, "end": 1918.58, "word": "يوجد", "probability": 0.6646321614583334}, {"start": 1918.58, "end": 1919.88, "word": " C", "probability": 0.1522216796875}, {"start": 1919.88, "end": 1921.22, "word": " ينتمي", "probability": 0.9384765625}, {"start": 1921.22, "end": 1922.76, "word": " للفترة", "probability": 0.90576171875}, {"start": 1922.76, "end": 1923.42, "word": " I", "probability": 0.84814453125}, {"start": 1923.42, "end": 1925.34, "word": " بين", "probability": 0.312255859375}, {"start": 1925.34, "end": 1929.5, "word": " X", "probability": 0.84375}, {"start": 1929.5, "end": 1930.52, "word": " lower", "probability": 0.30224609375}, {"start": 1930.52, "end": 1931.26, "word": " star", "probability": 0.74560546875}, {"start": 1931.26, "end": 1931.94, "word": " و", "probability": 0.802734375}, {"start": 1931.94, "end": 1932.78, "word": " X", "probability": 0.83544921875}, {"start": 1932.78, "end": 1933.3, "word": " super", "probability": 0.52099609375}, {"start": 1933.3, "end": 1933.86, "word": " star", "probability": 0.8984375}], "temperature": 1.0}, {"id": 72, "seek": 196122, "start": 1935.98, "end": 1961.22, "text": "بحيث ان f of c بساوي العدد k وهذا اللي بدنا نقيله يعني اثبتنا يوجد c ينتمي للفترة I وصورة c بساوي العدد k وهو المطلوب اذا هذه النتيجة على بلزانو intermediate valley theorem", "tokens": [3555, 5016, 1829, 12984, 16472, 283, 295, 269, 4724, 3794, 995, 45865, 18863, 3215, 3215, 350, 37037, 15730, 13672, 1829, 47525, 8315, 8717, 4587, 26895, 3224, 37495, 22653, 1975, 12984, 3555, 2655, 8315, 7251, 29245, 3215, 269, 7251, 29399, 2304, 1829, 24976, 5172, 2655, 25720, 286, 4032, 9381, 13063, 3660, 269, 4724, 3794, 995, 45865, 18863, 3215, 3215, 350, 37037, 2407, 9673, 9566, 1211, 37746, 1975, 15730, 29538, 28239, 31371, 7435, 3660, 15844, 4724, 1211, 11622, 7649, 2407, 19376, 17636, 20904], "avg_logprob": -0.3145960238648624, "compression_ratio": 1.538888888888889, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1935.98, "end": 1936.82, "word": "بحيث", "probability": 0.83282470703125}, {"start": 1936.82, "end": 1937.14, "word": " ان", "probability": 0.62353515625}, {"start": 1937.14, "end": 1938.72, "word": " f", "probability": 0.289794921875}, {"start": 1938.72, "end": 1939.46, "word": " of", "probability": 0.53515625}, {"start": 1939.46, "end": 1940.18, "word": " c", "probability": 0.67041015625}, {"start": 1940.18, "end": 1941.0, "word": " بساوي", "probability": 0.5796356201171875}, {"start": 1941.0, "end": 1941.46, "word": " العدد", "probability": 0.7943522135416666}, {"start": 1941.46, "end": 1941.82, "word": " k", "probability": 0.59619140625}, {"start": 1941.82, "end": 1945.58, "word": " وهذا", "probability": 0.779052734375}, {"start": 1945.58, "end": 1945.72, "word": " اللي", "probability": 0.6224365234375}, {"start": 1945.72, "end": 1945.98, "word": " بدنا", "probability": 0.7110595703125}, {"start": 1945.98, "end": 1946.42, "word": " نقيله", "probability": 0.593505859375}, {"start": 1946.42, "end": 1947.28, "word": " يعني", "probability": 0.51141357421875}, {"start": 1947.28, "end": 1947.78, "word": " اثبتنا", "probability": 0.91923828125}, {"start": 1947.78, "end": 1948.18, "word": " يوجد", "probability": 0.9171549479166666}, {"start": 1948.18, "end": 1948.56, "word": " c", "probability": 0.74853515625}, {"start": 1948.56, "end": 1949.96, "word": " ينتمي", "probability": 0.9525146484375}, {"start": 1949.96, "end": 1950.5, "word": " للفترة", "probability": 0.921630859375}, {"start": 1950.5, "end": 1950.82, "word": " I", "probability": 0.62060546875}, {"start": 1950.82, "end": 1951.44, "word": " وصورة", "probability": 0.8828125}, {"start": 1951.44, "end": 1951.8, "word": " c", "probability": 0.6103515625}, {"start": 1951.8, "end": 1952.44, "word": " بساوي", "probability": 0.91259765625}, {"start": 1952.44, "end": 1952.94, "word": " العدد", "probability": 0.9479166666666666}, {"start": 1952.94, "end": 1953.34, "word": " k", "probability": 0.8291015625}, {"start": 1953.34, "end": 1954.76, "word": " وهو", "probability": 0.4063720703125}, {"start": 1954.76, "end": 1955.32, "word": " المطلوب", "probability": 0.9853515625}, {"start": 1955.32, "end": 1957.42, "word": " اذا", "probability": 0.5020751953125}, {"start": 1957.42, "end": 1957.84, "word": " هذه", "probability": 0.8095703125}, {"start": 1957.84, "end": 1958.8, "word": " النتيجة", "probability": 0.90771484375}, {"start": 1958.8, "end": 1959.24, "word": " على", "probability": 0.83154296875}, {"start": 1959.24, "end": 1959.9, "word": " بلزانو", "probability": 0.686083984375}, {"start": 1959.9, "end": 1960.44, "word": " intermediate", "probability": 0.83837890625}, {"start": 1960.44, "end": 1960.84, "word": " valley", "probability": 0.6279296875}, {"start": 1960.84, "end": 1961.22, "word": " theorem", "probability": 0.92919921875}], "temperature": 1.0}, {"id": 73, "seek": 199148, "start": 1963.0, "end": 1991.48, "text": "برهنها بكل بساطة وبكل أريحية واضح البرهان في أي استفسار أن البرهان هنا تبع النظرية هذه بعتمد على maximum minimum maximum minimum theorem نظرية القيام القصوى نخدناها المحاضرة اللي فاتت وعلى Bolzano intermediate value theorem okay تمام", "tokens": [26890, 3224, 1863, 11296, 4724, 28820, 4724, 3794, 41193, 3660, 46599, 28820, 5551, 16572, 5016, 10632, 4032, 46958, 5016, 29739, 2288, 3224, 7649, 8978, 36632, 44713, 36178, 9640, 14739, 2423, 26890, 3224, 7649, 34105, 6055, 3555, 3615, 28239, 19913, 2288, 10632, 29538, 4724, 34268, 2304, 3215, 15844, 6674, 7285, 6674, 7285, 20904, 8717, 19913, 2288, 10632, 25062, 1829, 10943, 25062, 9381, 2407, 7578, 8717, 9778, 3215, 8315, 11296, 9673, 5016, 46958, 25720, 13672, 1829, 6156, 9307, 2655, 4032, 3615, 23942, 14331, 89, 3730, 19376, 2158, 20904, 1392, 46811, 10943], "avg_logprob": -0.22170138392183517, "compression_ratio": 1.643835616438356, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1963.0, "end": 1964.04, "word": "برهنها", "probability": 0.757568359375}, {"start": 1964.04, "end": 1964.44, "word": " بكل", "probability": 0.97216796875}, {"start": 1964.44, "end": 1965.1, "word": " بساطة", "probability": 0.9876708984375}, {"start": 1965.1, "end": 1965.9, "word": " وبكل", "probability": 0.829833984375}, {"start": 1965.9, "end": 1966.58, "word": " أريحية", "probability": 0.8714599609375}, {"start": 1966.58, "end": 1967.84, "word": " واضح", "probability": 0.9295247395833334}, {"start": 1967.84, "end": 1968.36, "word": " البرهان", "probability": 0.85888671875}, {"start": 1968.36, "end": 1968.68, "word": " في", "probability": 0.88916015625}, {"start": 1968.68, "end": 1969.06, "word": " أي", "probability": 0.83349609375}, {"start": 1969.06, "end": 1970.2, "word": " استفسار", "probability": 0.9679361979166666}, {"start": 1970.2, "end": 1971.92, "word": " أن", "probability": 0.1680908203125}, {"start": 1971.92, "end": 1972.46, "word": " البرهان", "probability": 0.84783935546875}, {"start": 1972.46, "end": 1972.62, "word": " هنا", "probability": 0.453857421875}, {"start": 1972.62, "end": 1972.9, "word": " تبع", "probability": 0.9187825520833334}, {"start": 1972.9, "end": 1973.3, "word": " النظرية", "probability": 0.8487548828125}, {"start": 1973.3, "end": 1973.52, "word": " هذه", "probability": 0.37255859375}, {"start": 1973.52, "end": 1974.1, "word": " بعتمد", "probability": 0.8262939453125}, {"start": 1974.1, "end": 1974.32, "word": " على", "probability": 0.90185546875}, {"start": 1974.32, "end": 1975.42, "word": " maximum", "probability": 0.7412109375}, {"start": 1975.42, "end": 1975.9, "word": " minimum", "probability": 0.81787109375}, {"start": 1975.9, "end": 1976.76, "word": " maximum", "probability": 0.47998046875}, {"start": 1976.76, "end": 1977.64, "word": " minimum", "probability": 0.95361328125}, {"start": 1977.64, "end": 1978.12, "word": " theorem", "probability": 0.822265625}, {"start": 1978.12, "end": 1979.28, "word": " نظرية", "probability": 0.928955078125}, {"start": 1979.28, "end": 1979.68, "word": " القيام", "probability": 0.8689778645833334}, {"start": 1979.68, "end": 1980.1, "word": " القصوى", "probability": 0.875732421875}, {"start": 1980.1, "end": 1980.58, "word": " نخدناها", "probability": 0.6927001953125}, {"start": 1980.58, "end": 1981.0, "word": " المحاضرة", "probability": 0.869140625}, {"start": 1981.0, "end": 1981.16, "word": " اللي", "probability": 0.771240234375}, {"start": 1981.16, "end": 1981.62, "word": " فاتت", "probability": 0.9796549479166666}, {"start": 1981.62, "end": 1982.64, "word": " وعلى", "probability": 0.9039713541666666}, {"start": 1982.64, "end": 1983.36, "word": " Bolzano", "probability": 0.775146484375}, {"start": 1983.36, "end": 1984.84, "word": " intermediate", "probability": 0.578125}, {"start": 1984.84, "end": 1985.52, "word": " value", "probability": 0.93603515625}, {"start": 1985.52, "end": 1986.0, "word": " theorem", "probability": 0.8671875}, {"start": 1986.0, "end": 1991.04, "word": " okay", "probability": 0.52587890625}, {"start": 1991.04, "end": 1991.48, "word": " تمام", "probability": 0.927001953125}], "temperature": 1.0}, {"id": 74, "seek": 202401, "start": 1995.69, "end": 2024.01, "text": "طيب ال .. ناخد نظرية يمكن ما نحتاجش هدول نمسح اللوح هذا", "tokens": [9566, 1829, 3555, 2423, 4386, 8717, 47283, 3215, 8717, 19913, 2288, 10632, 7251, 43020, 19446, 8717, 33753, 26108, 8592, 8032, 3215, 12610, 8717, 2304, 3794, 5016, 13672, 2407, 5016, 23758], "avg_logprob": -0.30367944509752337, "compression_ratio": 1.1686746987951808, "no_speech_prob": 0.0, "words": [{"start": 1995.69, "end": 1996.23, "word": "طيب", "probability": 0.9851888020833334}, {"start": 1996.23, "end": 1996.55, "word": " ال", "probability": 0.7431640625}, {"start": 1996.55, "end": 2003.23, "word": " ..", "probability": 0.85888671875}, {"start": 2003.23, "end": 2004.81, "word": " ناخد", "probability": 0.9775390625}, {"start": 2004.81, "end": 2009.29, "word": " نظرية", "probability": 0.7582550048828125}, {"start": 2009.29, "end": 2018.95, "word": " يمكن", "probability": 0.55206298828125}, {"start": 2018.95, "end": 2019.15, "word": " ما", "probability": 0.79052734375}, {"start": 2019.15, "end": 2019.83, "word": " نحتاجش", "probability": 0.7161865234375}, {"start": 2019.83, "end": 2020.29, "word": " هدول", "probability": 0.8033854166666666}, {"start": 2020.29, "end": 2023.35, "word": " نمسح", "probability": 0.83978271484375}, {"start": 2023.35, "end": 2023.77, "word": " اللوح", "probability": 0.9871419270833334}, {"start": 2023.77, "end": 2024.01, "word": " هذا", "probability": 0.48046875}], "temperature": 1.0}, {"id": 75, "seek": 206798, "start": 2043.53, "end": 2067.99, "text": "فيرم let I بساوي closed bounded interval be closed and bounded closed and bounded interval and let f from I to R", "tokens": [5172, 13546, 2304, 718, 286, 4724, 3794, 995, 45865, 5395, 37498, 15035, 312, 5395, 293, 37498, 5395, 293, 37498, 15035, 293, 718, 283, 490, 286, 281, 497], "avg_logprob": -0.3529575935431889, "compression_ratio": 1.4069767441860466, "no_speech_prob": 0.0, "words": [{"start": 2043.5299999999997, "end": 2044.9299999999998, "word": "فيرم", "probability": 0.5500284830729166}, {"start": 2044.9299999999998, "end": 2046.33, "word": " let", "probability": 0.33349609375}, {"start": 2046.33, "end": 2046.85, "word": " I", "probability": 0.62255859375}, {"start": 2046.85, "end": 2047.61, "word": " بساوي", "probability": 0.65606689453125}, {"start": 2047.61, "end": 2048.19, "word": " closed", "probability": 0.7431640625}, {"start": 2048.19, "end": 2048.63, "word": " bounded", "probability": 0.70849609375}, {"start": 2048.63, "end": 2049.37, "word": " interval", "probability": 0.9736328125}, {"start": 2049.37, "end": 2049.79, "word": " be", "probability": 0.304443359375}, {"start": 2049.79, "end": 2051.49, "word": " closed", "probability": 0.8740234375}, {"start": 2051.49, "end": 2054.01, "word": " and", "probability": 0.93310546875}, {"start": 2054.01, "end": 2054.75, "word": " bounded", "probability": 0.96142578125}, {"start": 2054.75, "end": 2057.17, "word": " closed", "probability": 0.6357421875}, {"start": 2057.17, "end": 2057.63, "word": " and", "probability": 0.9716796875}, {"start": 2057.63, "end": 2058.17, "word": " bounded", "probability": 0.94677734375}, {"start": 2058.17, "end": 2059.81, "word": " interval", "probability": 0.93115234375}, {"start": 2059.81, "end": 2062.69, "word": " and", "probability": 0.8291015625}, {"start": 2062.69, "end": 2063.25, "word": " let", "probability": 0.96728515625}, {"start": 2063.25, "end": 2065.09, "word": " f", "probability": 0.45947265625}, {"start": 2065.09, "end": 2065.89, "word": " from", "probability": 0.89990234375}, {"start": 2065.89, "end": 2066.69, "word": " I", "probability": 0.96337890625}, {"start": 2066.69, "end": 2067.27, "word": " to", "probability": 0.97314453125}, {"start": 2067.27, "end": 2067.99, "word": " R", "probability": 0.98681640625}], "temperature": 1.0}, {"id": 76, "seek": 209480, "start": 2069.62, "end": 2094.8, "text": "دي continuous متصلة على الفترة I then النتيجة انه ال set او ال range", "tokens": [16254, 10957, 44650, 36520, 3660, 15844, 27188, 2655, 25720, 286, 550, 28239, 31371, 7435, 3660, 16472, 3224, 2423, 992, 1975, 2407, 2423, 3613], "avg_logprob": -0.2905273449917634, "compression_ratio": 1.0869565217391304, "no_speech_prob": 0.0, "words": [{"start": 2069.62, "end": 2070.08, "word": "دي", "probability": 0.0836181640625}, {"start": 2070.08, "end": 2071.34, "word": " continuous", "probability": 0.9150390625}, {"start": 2071.34, "end": 2072.78, "word": " متصلة", "probability": 0.8621419270833334}, {"start": 2072.78, "end": 2073.84, "word": " على", "probability": 0.78564453125}, {"start": 2073.84, "end": 2074.88, "word": " الفترة", "probability": 0.8798828125}, {"start": 2074.88, "end": 2075.52, "word": " I", "probability": 0.75341796875}, {"start": 2075.52, "end": 2089.24, "word": " then", "probability": 0.52490234375}, {"start": 2089.24, "end": 2090.72, "word": " النتيجة", "probability": 0.946533203125}, {"start": 2090.72, "end": 2092.44, "word": " انه", "probability": 0.4769287109375}, {"start": 2092.44, "end": 2092.8, "word": " ال", "probability": 0.77734375}, {"start": 2092.8, "end": 2093.28, "word": " set", "probability": 0.93115234375}, {"start": 2093.28, "end": 2094.12, "word": " او", "probability": 0.86767578125}, {"start": 2094.12, "end": 2094.28, "word": " ال", "probability": 0.962890625}, {"start": 2094.28, "end": 2094.8, "word": " range", "probability": 0.96044921875}], "temperature": 1.0}, {"id": 77, "seek": 211892, "start": 2096.14, "end": 2118.92, "text": "الـ range للـ function I is a closed and bounded closed and bounded interval that is هذا يعني", "tokens": [6027, 39184, 3613, 24976, 39184, 2445, 286, 307, 257, 5395, 293, 37498, 5395, 293, 37498, 15035, 300, 307, 23758, 37495, 22653], "avg_logprob": -0.2661576650359414, "compression_ratio": 1.1521739130434783, "no_speech_prob": 0.0, "words": [{"start": 2096.14, "end": 2096.46, "word": "الـ", "probability": 0.81640625}, {"start": 2096.46, "end": 2096.88, "word": " range", "probability": 0.364501953125}, {"start": 2096.88, "end": 2097.28, "word": " للـ", "probability": 0.5411376953125}, {"start": 2097.28, "end": 2097.74, "word": " function", "probability": 0.93603515625}, {"start": 2097.74, "end": 2098.46, "word": " I", "probability": 0.8154296875}, {"start": 2098.46, "end": 2099.94, "word": " is", "probability": 0.615234375}, {"start": 2099.94, "end": 2100.66, "word": " a", "probability": 0.5537109375}, {"start": 2100.66, "end": 2101.22, "word": " closed", "probability": 0.8896484375}, {"start": 2101.22, "end": 2103.96, "word": " and", "probability": 0.92578125}, {"start": 2103.96, "end": 2105.76, "word": " bounded", "probability": 0.94873046875}, {"start": 2105.76, "end": 2107.98, "word": " closed", "probability": 0.4267578125}, {"start": 2107.98, "end": 2108.74, "word": " and", "probability": 0.96533203125}, {"start": 2108.74, "end": 2109.38, "word": " bounded", "probability": 0.94140625}, {"start": 2109.38, "end": 2110.84, "word": " interval", "probability": 0.98681640625}, {"start": 2110.84, "end": 2117.46, "word": " that", "probability": 0.69921875}, {"start": 2117.46, "end": 2117.92, "word": " is", "probability": 0.9677734375}, {"start": 2117.92, "end": 2118.42, "word": " هذا", "probability": 0.83251953125}, {"start": 2118.42, "end": 2118.92, "word": " يعني", "probability": 0.966552734375}], "temperature": 1.0}, {"id": 78, "seek": 214961, "start": 2121.81, "end": 2149.61, "text": "هذا يعني .. يعني النص او نتيجة النظرية دي من كلها خصها في عبارة واحدة وهي انه a continuous function a continuous function preserves .. preserves بتحافظ closed", "tokens": [3224, 15730, 37495, 22653, 4386, 37495, 22653, 28239, 9381, 1975, 2407, 8717, 31371, 7435, 3660, 28239, 19913, 2288, 10632, 11778, 1829, 9154, 28242, 11296, 16490, 9381, 11296, 8978, 6225, 3555, 9640, 3660, 36764, 24401, 3660, 37037, 1829, 16472, 3224, 257, 10957, 2445, 257, 10957, 2445, 1183, 9054, 4386, 1183, 9054, 39894, 5016, 31845, 19913, 5395], "avg_logprob": -0.21135602279433183, "compression_ratio": 1.4768211920529801, "no_speech_prob": 0.0, "words": [{"start": 2121.81, "end": 2122.31, "word": "هذا", "probability": 0.935302734375}, {"start": 2122.31, "end": 2122.79, "word": " يعني", "probability": 0.954345703125}, {"start": 2122.79, "end": 2123.25, "word": " ..", "probability": 0.47314453125}, {"start": 2123.25, "end": 2123.87, "word": " يعني", "probability": 0.849365234375}, {"start": 2123.87, "end": 2124.37, "word": " النص", "probability": 0.841064453125}, {"start": 2124.37, "end": 2124.69, "word": " او", "probability": 0.7239990234375}, {"start": 2124.69, "end": 2125.87, "word": " نتيجة", "probability": 0.932373046875}, {"start": 2125.87, "end": 2126.29, "word": " النظرية", "probability": 0.9063720703125}, {"start": 2126.29, "end": 2126.49, "word": " دي", "probability": 0.853759765625}, {"start": 2126.49, "end": 2126.59, "word": " من", "probability": 0.42041015625}, {"start": 2126.59, "end": 2126.93, "word": " كلها", "probability": 0.640380859375}, {"start": 2126.93, "end": 2127.45, "word": " خصها", "probability": 0.88134765625}, {"start": 2127.45, "end": 2127.71, "word": " في", "probability": 0.9453125}, {"start": 2127.71, "end": 2128.85, "word": " عبارة", "probability": 0.985595703125}, {"start": 2128.85, "end": 2130.13, "word": " واحدة", "probability": 0.9742838541666666}, {"start": 2130.13, "end": 2130.63, "word": " وهي", "probability": 0.791748046875}, {"start": 2130.63, "end": 2131.79, "word": " انه", "probability": 0.802978515625}, {"start": 2131.79, "end": 2132.31, "word": " a", "probability": 0.73486328125}, {"start": 2132.31, "end": 2132.99, "word": " continuous", "probability": 0.86669921875}, {"start": 2132.99, "end": 2133.85, "word": " function", "probability": 0.974609375}, {"start": 2133.85, "end": 2136.05, "word": " a", "probability": 0.330322265625}, {"start": 2136.05, "end": 2137.31, "word": " continuous", "probability": 0.890625}, {"start": 2137.31, "end": 2140.29, "word": " function", "probability": 0.98046875}, {"start": 2140.29, "end": 2142.67, "word": " preserves", "probability": 0.8681640625}, {"start": 2142.67, "end": 2142.99, "word": " ..", "probability": 0.55029296875}, {"start": 2142.99, "end": 2144.23, "word": " preserves", "probability": 0.745361328125}, {"start": 2144.23, "end": 2146.67, "word": " بتحافظ", "probability": 0.8509521484375}, {"start": 2146.67, "end": 2149.61, "word": " closed", "probability": 0.6357421875}], "temperature": 1.0}, {"id": 79, "seek": 217941, "start": 2151.53, "end": 2179.41, "text": "and bounded intervals الدوال المتصلة بتحافظ على ال closed و ال bounded interval يعني ال function f بتاخد I اللي هي closed bounded interval بتعطيني صلتها closed bounded interval زيها من نفس الصنف من نفس النوع لبرهان ذلك", "tokens": [474, 37498, 26651, 32748, 2407, 6027, 9673, 2655, 36520, 3660, 39894, 5016, 31845, 19913, 15844, 2423, 5395, 4032, 2423, 37498, 15035, 37495, 22653, 2423, 2445, 283, 39894, 47283, 3215, 286, 13672, 1829, 39896, 5395, 37498, 15035, 39894, 3615, 9566, 1829, 22653, 20328, 1211, 2655, 11296, 5395, 37498, 15035, 30767, 1829, 11296, 9154, 8717, 36178, 31767, 1863, 5172, 9154, 8717, 36178, 28239, 45367, 5296, 26890, 3224, 7649, 29910, 23275], "avg_logprob": -0.26200180813886115, "compression_ratio": 1.7953216374269005, "no_speech_prob": 0.0, "words": [{"start": 2151.53, "end": 2152.15, "word": "and", "probability": 0.03485107421875}, {"start": 2152.15, "end": 2152.87, "word": " bounded", "probability": 0.89208984375}, {"start": 2152.87, "end": 2156.51, "word": " intervals", "probability": 0.89208984375}, {"start": 2156.51, "end": 2160.87, "word": " الدوال", "probability": 0.8097330729166666}, {"start": 2160.87, "end": 2161.79, "word": " المتصلة", "probability": 0.931884765625}, {"start": 2161.79, "end": 2163.15, "word": " بتحافظ", "probability": 0.8197021484375}, {"start": 2163.15, "end": 2163.37, "word": " على", "probability": 0.81591796875}, {"start": 2163.37, "end": 2163.57, "word": " ال", "probability": 0.6728515625}, {"start": 2163.57, "end": 2163.91, "word": " closed", "probability": 0.71728515625}, {"start": 2163.91, "end": 2164.07, "word": " و", "probability": 0.541015625}, {"start": 2164.07, "end": 2164.13, "word": " ال", "probability": 0.465087890625}, {"start": 2164.13, "end": 2164.49, "word": " bounded", "probability": 0.91943359375}, {"start": 2164.49, "end": 2165.13, "word": " interval", "probability": 0.953125}, {"start": 2165.13, "end": 2165.63, "word": " يعني", "probability": 0.7255859375}, {"start": 2165.63, "end": 2166.39, "word": " ال", "probability": 0.9091796875}, {"start": 2166.39, "end": 2166.73, "word": " function", "probability": 0.93115234375}, {"start": 2166.73, "end": 2167.15, "word": " f", "probability": 0.5947265625}, {"start": 2167.15, "end": 2168.87, "word": " بتاخد", "probability": 0.9591471354166666}, {"start": 2168.87, "end": 2169.27, "word": " I", "probability": 0.6806640625}, {"start": 2169.27, "end": 2169.47, "word": " اللي", "probability": 0.76953125}, {"start": 2169.47, "end": 2169.63, "word": " هي", "probability": 0.8359375}, {"start": 2169.63, "end": 2170.03, "word": " closed", "probability": 0.67822265625}, {"start": 2170.03, "end": 2170.35, "word": " bounded", "probability": 0.93408203125}, {"start": 2170.35, "end": 2170.99, "word": " interval", "probability": 0.974609375}, {"start": 2170.99, "end": 2171.53, "word": " بتعطيني", "probability": 0.74091796875}, {"start": 2171.53, "end": 2172.05, "word": " صلتها", "probability": 0.77276611328125}, {"start": 2172.05, "end": 2172.63, "word": " closed", "probability": 0.87255859375}, {"start": 2172.63, "end": 2173.05, "word": " bounded", "probability": 0.95263671875}, {"start": 2173.05, "end": 2173.61, "word": " interval", "probability": 0.96826171875}, {"start": 2173.61, "end": 2174.17, "word": " زيها", "probability": 0.8136393229166666}, {"start": 2174.17, "end": 2174.41, "word": " من", "probability": 0.87890625}, {"start": 2174.41, "end": 2174.71, "word": " نفس", "probability": 0.991455078125}, {"start": 2174.71, "end": 2175.77, "word": " الصنف", "probability": 0.7029622395833334}, {"start": 2175.77, "end": 2175.93, "word": " من", "probability": 0.6640625}, {"start": 2175.93, "end": 2176.17, "word": " نفس", "probability": 0.992431640625}, {"start": 2176.17, "end": 2176.57, "word": " النوع", "probability": 0.90380859375}, {"start": 2176.57, "end": 2178.93, "word": " لبرهان", "probability": 0.8544921875}, {"start": 2178.93, "end": 2179.41, "word": " ذلك", "probability": 0.996826171875}], "temperature": 1.0}, {"id": 80, "seek": 221071, "start": 2189.06, "end": 2210.72, "text": "ف let M بساوي الالفمن ل range ال F و capital M بساوي ال superman ل range ال F", "tokens": [5172, 718, 376, 4724, 3794, 995, 45865, 2423, 6027, 5172, 27842, 5296, 3613, 2423, 479, 4032, 4238, 376, 4724, 3794, 995, 45865, 2423, 1687, 1601, 5296, 3613, 2423, 479], "avg_logprob": -0.3388020773728689, "compression_ratio": 1.3506493506493507, "no_speech_prob": 0.0, "words": [{"start": 2189.06, "end": 2190.46, "word": "ف", "probability": 0.7822265625}, {"start": 2190.46, "end": 2191.86, "word": " let", "probability": 0.55029296875}, {"start": 2191.86, "end": 2194.76, "word": " M", "probability": 0.666015625}, {"start": 2194.76, "end": 2196.08, "word": " بساوي", "probability": 0.716552734375}, {"start": 2196.08, "end": 2198.96, "word": " الالفمن", "probability": 0.520538330078125}, {"start": 2198.96, "end": 2200.36, "word": " ل", "probability": 0.87451171875}, {"start": 2200.36, "end": 2200.78, "word": " range", "probability": 0.66357421875}, {"start": 2200.78, "end": 2200.98, "word": " ال", "probability": 0.450927734375}, {"start": 2200.98, "end": 2201.28, "word": " F", "probability": 0.89208984375}, {"start": 2201.28, "end": 2204.44, "word": " و", "probability": 0.94189453125}, {"start": 2204.44, "end": 2206.1, "word": " capital", "probability": 0.30615234375}, {"start": 2206.1, "end": 2206.56, "word": " M", "probability": 0.99267578125}, {"start": 2206.56, "end": 2207.38, "word": " بساوي", "probability": 0.95703125}, {"start": 2207.38, "end": 2207.68, "word": " ال", "probability": 0.728515625}, {"start": 2207.68, "end": 2208.4, "word": " superman", "probability": 0.5438232421875}, {"start": 2208.4, "end": 2209.74, "word": " ل", "probability": 0.98828125}, {"start": 2209.74, "end": 2210.2, "word": " range", "probability": 0.95751953125}, {"start": 2210.2, "end": 2210.42, "word": " ال", "probability": 0.869140625}, {"start": 2210.42, "end": 2210.72, "word": " F", "probability": 0.98046875}], "temperature": 1.0}, {"id": 81, "seek": 223529, "start": 2216.43, "end": 2235.29, "text": "بOTH M AND N EXIST IN R BY MAXIMUM MINIMUM THEOREM", "tokens": [3555, 28200, 376, 8093, 426, 16385, 19756, 6892, 497, 26930, 39549, 6324, 14340, 26186, 6324, 14340, 5663, 2483, 6683], "avg_logprob": -0.40195312052965165, "compression_ratio": 0.9107142857142857, "no_speech_prob": 0.0, "words": [{"start": 2216.43, "end": 2217.15, "word": "بOTH", "probability": 0.125732421875}, {"start": 2217.15, "end": 2219.07, "word": " M", "probability": 0.63623046875}, {"start": 2219.07, "end": 2220.29, "word": " AND", "probability": 0.86376953125}, {"start": 2220.29, "end": 2221.73, "word": " N", "probability": 0.1834716796875}, {"start": 2221.73, "end": 2223.45, "word": " EXIST", "probability": 0.734619140625}, {"start": 2223.45, "end": 2224.21, "word": " IN", "probability": 0.87841796875}, {"start": 2224.21, "end": 2224.85, "word": " R", "probability": 0.73974609375}, {"start": 2224.85, "end": 2226.81, "word": " BY", "probability": 0.96240234375}, {"start": 2226.81, "end": 2231.77, "word": " MAXIMUM", "probability": 0.9532877604166666}, {"start": 2231.77, "end": 2234.25, "word": " MINIMUM", "probability": 0.9632161458333334}, {"start": 2234.25, "end": 2235.29, "word": " THEOREM", "probability": 0.8912760416666666}], "temperature": 1.0}, {"id": 82, "seek": 226758, "start": 2239.9, "end": 2267.58, "text": "نظرية القيام القصوى بتقول إنه إذا كانت f function متصة على closed bounded interval فال .. ال .. ال function إلها قيمة صغيرة مطلقة و إلها قيمة أضمة مطلقة سمها قيمة صغيرة المطلقة M و قيمة الأضمة المطلقة capital M تمام؟ clearly", "tokens": [1863, 19913, 2288, 10632, 25062, 1829, 10943, 25062, 9381, 2407, 7578, 39894, 39648, 36145, 3224, 11933, 15730, 25961, 2655, 283, 2445, 44650, 9381, 3660, 15844, 5395, 37498, 15035, 6156, 6027, 4386, 2423, 4386, 2423, 2445, 11933, 1211, 11296, 12174, 32640, 3660, 20328, 17082, 48923, 3714, 9566, 1211, 28671, 4032, 11933, 1211, 11296, 12174, 32640, 3660, 5551, 11242, 46007, 3714, 9566, 1211, 28671, 8608, 2304, 11296, 12174, 32640, 3660, 20328, 17082, 48923, 9673, 9566, 1211, 28671, 376, 4032, 12174, 32640, 3660, 16247, 11242, 46007, 9673, 9566, 1211, 28671, 4238, 376, 46811, 10943, 22807, 4448], "avg_logprob": -0.23520611385081677, "compression_ratio": 1.7537688442211055, "no_speech_prob": 0.0, "words": [{"start": 2239.9, "end": 2240.44, "word": "نظرية", "probability": 0.84417724609375}, {"start": 2240.44, "end": 2240.88, "word": " القيام", "probability": 0.85986328125}, {"start": 2240.88, "end": 2241.92, "word": " القصوى", "probability": 0.92919921875}, {"start": 2241.92, "end": 2242.32, "word": " بتقول", "probability": 0.84326171875}, {"start": 2242.32, "end": 2242.94, "word": " إنه", "probability": 0.66748046875}, {"start": 2242.94, "end": 2244.04, "word": " إذا", "probability": 0.863525390625}, {"start": 2244.04, "end": 2244.4, "word": " كانت", "probability": 0.96826171875}, {"start": 2244.4, "end": 2244.64, "word": " f", "probability": 0.41650390625}, {"start": 2244.64, "end": 2245.12, "word": " function", "probability": 0.61181640625}, {"start": 2245.12, "end": 2245.7, "word": " متصة", "probability": 0.4666341145833333}, {"start": 2245.7, "end": 2245.86, "word": " على", "probability": 0.884765625}, {"start": 2245.86, "end": 2246.2, "word": " closed", "probability": 0.5849609375}, {"start": 2246.2, "end": 2246.48, "word": " bounded", "probability": 0.92724609375}, {"start": 2246.48, "end": 2247.06, "word": " interval", "probability": 0.96142578125}, {"start": 2247.06, "end": 2248.78, "word": " فال", "probability": 0.881103515625}, {"start": 2248.78, "end": 2248.98, "word": " ..", "probability": 0.390380859375}, {"start": 2248.98, "end": 2249.4, "word": " ال", "probability": 0.87890625}, {"start": 2249.4, "end": 2249.52, "word": " ..", "probability": 0.9560546875}, {"start": 2249.52, "end": 2250.18, "word": " ال", "probability": 0.96142578125}, {"start": 2250.18, "end": 2250.7, "word": " function", "probability": 0.546875}, {"start": 2250.7, "end": 2251.1, "word": " إلها", "probability": 0.642578125}, {"start": 2251.1, "end": 2251.5, "word": " قيمة", "probability": 0.9739583333333334}, {"start": 2251.5, "end": 2251.82, "word": " صغيرة", "probability": 0.8221028645833334}, {"start": 2251.82, "end": 2252.38, "word": " مطلقة", "probability": 0.9776611328125}, {"start": 2252.38, "end": 2253.7, "word": " و", "probability": 0.9228515625}, {"start": 2253.7, "end": 2253.94, "word": " إلها", "probability": 0.780517578125}, {"start": 2253.94, "end": 2254.28, "word": " قيمة", "probability": 0.9881184895833334}, {"start": 2254.28, "end": 2254.56, "word": " أضمة", "probability": 0.4881184895833333}, {"start": 2254.56, "end": 2255.1, "word": " مطلقة", "probability": 0.9781494140625}, {"start": 2255.1, "end": 2256.26, "word": " سمها", "probability": 0.580322265625}, {"start": 2256.26, "end": 2256.72, "word": " قيمة", "probability": 0.9752604166666666}, {"start": 2256.72, "end": 2257.0, "word": " صغيرة", "probability": 0.9763997395833334}, {"start": 2257.0, "end": 2257.52, "word": " المطلقة", "probability": 0.9166259765625}, {"start": 2257.52, "end": 2257.8, "word": " M", "probability": 0.69189453125}, {"start": 2257.8, "end": 2258.68, "word": " و", "probability": 0.73291015625}, {"start": 2258.68, "end": 2258.98, "word": " قيمة", "probability": 0.9000651041666666}, {"start": 2258.98, "end": 2259.3, "word": " الأضمة", "probability": 0.8338216145833334}, {"start": 2259.3, "end": 2259.86, "word": " المطلقة", "probability": 0.97900390625}, {"start": 2259.86, "end": 2260.32, "word": " capital", "probability": 0.50341796875}, {"start": 2260.32, "end": 2261.14, "word": " M", "probability": 0.912109375}, {"start": 2261.14, "end": 2264.76, "word": " تمام؟", "probability": 0.81884765625}, {"start": 2264.76, "end": 2267.58, "word": " clearly", "probability": 0.6142578125}], "temperature": 1.0}, {"id": 83, "seek": 229737, "start": 2274.21, "end": 2297.37, "text": "F of X أكبر من أو ساوي M أصغر من أو ساوي م لكل X في I قيمة الدالة عند أي X في المجال تبعها أصغر من أو ساوي قيمة العظمى المطلقة و أكبر في نفس المجال أكبر من أو ساوي قيمة الصغر المطلقة", "tokens": [37, 295, 1783, 5551, 4117, 26890, 9154, 34051, 8608, 995, 45865, 376, 5551, 9381, 17082, 2288, 9154, 34051, 8608, 995, 45865, 3714, 5296, 28820, 1783, 8978, 286, 12174, 32640, 3660, 32748, 6027, 3660, 43242, 36632, 1783, 8978, 9673, 7435, 6027, 6055, 3555, 3615, 11296, 5551, 9381, 17082, 2288, 9154, 34051, 8608, 995, 45865, 12174, 32640, 3660, 18863, 19913, 2304, 7578, 9673, 9566, 1211, 28671, 4032, 5551, 4117, 26890, 8978, 8717, 36178, 9673, 7435, 6027, 5551, 4117, 26890, 9154, 34051, 8608, 995, 45865, 12174, 32640, 3660, 31767, 17082, 2288, 9673, 9566, 1211, 28671], "avg_logprob": -0.16969086213778423, "compression_ratio": 2.129251700680272, "no_speech_prob": 0.0, "words": [{"start": 2274.21, "end": 2275.01, "word": "F", "probability": 0.16650390625}, {"start": 2275.01, "end": 2275.35, "word": " of", "probability": 0.4814453125}, {"start": 2275.35, "end": 2275.79, "word": " X", "probability": 0.87060546875}, {"start": 2275.79, "end": 2276.87, "word": " أكبر", "probability": 0.8912760416666666}, {"start": 2276.87, "end": 2277.13, "word": " من", "probability": 0.81689453125}, {"start": 2277.13, "end": 2277.35, "word": " أو", "probability": 0.8857421875}, {"start": 2277.35, "end": 2277.91, "word": " ساوي", "probability": 0.81103515625}, {"start": 2277.91, "end": 2278.31, "word": " M", "probability": 0.76220703125}, {"start": 2278.31, "end": 2278.97, "word": " أصغر", "probability": 0.923583984375}, {"start": 2278.97, "end": 2279.11, "word": " من", "probability": 0.98974609375}, {"start": 2279.11, "end": 2279.25, "word": " أو", "probability": 0.9736328125}, {"start": 2279.25, "end": 2279.65, "word": " ساوي", "probability": 0.9786783854166666}, {"start": 2279.65, "end": 2280.19, "word": " م", "probability": 0.51318359375}, {"start": 2280.19, "end": 2281.89, "word": " لكل", "probability": 0.91162109375}, {"start": 2281.89, "end": 2282.37, "word": " X", "probability": 0.900390625}, {"start": 2282.37, "end": 2283.01, "word": " في", "probability": 0.841796875}, {"start": 2283.01, "end": 2283.43, "word": " I", "probability": 0.8935546875}, {"start": 2283.43, "end": 2286.35, "word": " قيمة", "probability": 0.9295247395833334}, {"start": 2286.35, "end": 2287.01, "word": " الدالة", "probability": 0.947265625}, {"start": 2287.01, "end": 2287.39, "word": " عند", "probability": 0.7451171875}, {"start": 2287.39, "end": 2287.71, "word": " أي", "probability": 0.89990234375}, {"start": 2287.71, "end": 2288.07, "word": " X", "probability": 0.98046875}, {"start": 2288.07, "end": 2288.21, "word": " في", "probability": 0.96533203125}, {"start": 2288.21, "end": 2288.67, "word": " المجال", "probability": 0.9847005208333334}, {"start": 2288.67, "end": 2289.37, "word": " تبعها", "probability": 0.8646240234375}, {"start": 2289.37, "end": 2290.51, "word": " أصغر", "probability": 0.98974609375}, {"start": 2290.51, "end": 2290.63, "word": " من", "probability": 0.9921875}, {"start": 2290.63, "end": 2290.79, "word": " أو", "probability": 0.984375}, {"start": 2290.79, "end": 2291.17, "word": " ساوي", "probability": 0.9788411458333334}, {"start": 2291.17, "end": 2291.57, "word": " قيمة", "probability": 0.88525390625}, {"start": 2291.57, "end": 2291.87, "word": " العظمى", "probability": 0.582489013671875}, {"start": 2291.87, "end": 2292.39, "word": " المطلقة", "probability": 0.9664306640625}, {"start": 2292.39, "end": 2294.03, "word": " و", "probability": 0.2347412109375}, {"start": 2294.03, "end": 2294.47, "word": " أكبر", "probability": 0.9212239583333334}, {"start": 2294.47, "end": 2294.57, "word": " في", "probability": 0.67138671875}, {"start": 2294.57, "end": 2294.77, "word": " نفس", "probability": 0.9931640625}, {"start": 2294.77, "end": 2295.09, "word": " المجال", "probability": 0.7180989583333334}, {"start": 2295.09, "end": 2295.45, "word": " أكبر", "probability": 0.8780924479166666}, {"start": 2295.45, "end": 2295.55, "word": " من", "probability": 0.984375}, {"start": 2295.55, "end": 2295.73, "word": " أو", "probability": 0.95654296875}, {"start": 2295.73, "end": 2295.95, "word": " ساوي", "probability": 0.9656575520833334}, {"start": 2295.95, "end": 2296.45, "word": " قيمة", "probability": 0.9378255208333334}, {"start": 2296.45, "end": 2296.77, "word": " الصغر", "probability": 0.83984375}, {"start": 2296.77, "end": 2297.37, "word": " المطلقة", "probability": 0.8975830078125}], "temperature": 1.0}, {"id": 84, "seek": 232504, "start": 2301.46, "end": 2325.04, "text": "فهذا بيقدي which implies هذا بيقدي انه ال .. انه f of I contained في الفترة المغلقة من small m لcapital M", "tokens": [5172, 3224, 15730, 4724, 1829, 4587, 16254, 597, 18779, 23758, 4724, 1829, 4587, 16254, 16472, 3224, 2423, 4386, 16472, 3224, 283, 295, 286, 16212, 8978, 27188, 2655, 25720, 9673, 17082, 1211, 28671, 9154, 1359, 275, 5296, 9485, 1686, 376], "avg_logprob": -0.3101562514901161, "compression_ratio": 1.2333333333333334, "no_speech_prob": 0.0, "words": [{"start": 2301.46, "end": 2302.34, "word": "فهذا", "probability": 0.8331705729166666}, {"start": 2302.34, "end": 2302.96, "word": " بيقدي", "probability": 0.54150390625}, {"start": 2302.96, "end": 2306.04, "word": " which", "probability": 0.1993408203125}, {"start": 2306.04, "end": 2307.38, "word": " implies", "probability": 0.92236328125}, {"start": 2307.38, "end": 2310.32, "word": " هذا", "probability": 0.305419921875}, {"start": 2310.32, "end": 2311.06, "word": " بيقدي", "probability": 0.8818359375}, {"start": 2311.06, "end": 2312.58, "word": " انه", "probability": 0.5115966796875}, {"start": 2312.58, "end": 2312.94, "word": " ال", "probability": 0.751953125}, {"start": 2312.94, "end": 2313.6, "word": " ..", "probability": 0.438232421875}, {"start": 2313.6, "end": 2316.56, "word": " انه", "probability": 0.8486328125}, {"start": 2316.56, "end": 2317.0, "word": " f", "probability": 0.472412109375}, {"start": 2317.0, "end": 2317.84, "word": " of", "probability": 0.82666015625}, {"start": 2317.84, "end": 2318.58, "word": " I", "probability": 0.55859375}, {"start": 2318.58, "end": 2320.44, "word": " contained", "probability": 0.64892578125}, {"start": 2320.44, "end": 2321.18, "word": " في", "probability": 0.8662109375}, {"start": 2321.18, "end": 2321.66, "word": " الفترة", "probability": 0.9910481770833334}, {"start": 2321.66, "end": 2322.42, "word": " المغلقة", "probability": 0.98046875}, {"start": 2322.42, "end": 2323.36, "word": " من", "probability": 0.94873046875}, {"start": 2323.36, "end": 2323.86, "word": " small", "probability": 0.85302734375}, {"start": 2323.86, "end": 2324.18, "word": " m", "probability": 0.77294921875}, {"start": 2324.18, "end": 2324.78, "word": " لcapital", "probability": 0.8787434895833334}, {"start": 2324.78, "end": 2325.04, "word": " M", "probability": 0.91796875}], "temperature": 1.0}, {"id": 85, "seek": 234764, "start": 2326.98, "end": 2347.64, "text": "المتبادلة الأخيرة هذه تثبت أن ال set هذه subset من هذه لأنه خدوا أي عنصر هنا فأي عنصر هنا عبارة عن f of x for some x ينتمي ل I صح فأي f of x for some x ينتمي ل I هي", "tokens": [45340, 2655, 3555, 18513, 37977, 16247, 9778, 48923, 29538, 6055, 12984, 3555, 2655, 14739, 2423, 992, 29538, 25993, 9154, 29538, 5296, 33456, 3224, 16490, 3215, 14407, 36632, 18871, 9381, 2288, 34105, 6156, 10721, 1829, 18871, 9381, 2288, 34105, 6225, 3555, 9640, 3660, 18871, 283, 295, 2031, 337, 512, 2031, 7251, 29399, 2304, 1829, 5296, 286, 20328, 5016, 6156, 10721, 1829, 283, 295, 2031, 337, 512, 2031, 7251, 29399, 2304, 1829, 5296, 286, 39896], "avg_logprob": -0.21019848637484215, "compression_ratio": 1.691275167785235, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2326.98, "end": 2327.68, "word": "المتبادلة", "probability": 0.634375}, {"start": 2327.68, "end": 2328.14, "word": " الأخيرة", "probability": 0.9368489583333334}, {"start": 2328.14, "end": 2328.54, "word": " هذه", "probability": 0.50537109375}, {"start": 2328.54, "end": 2329.88, "word": " تثبت", "probability": 0.8980712890625}, {"start": 2329.88, "end": 2330.2, "word": " أن", "probability": 0.5361328125}, {"start": 2330.2, "end": 2330.56, "word": " ال", "probability": 0.6650390625}, {"start": 2330.56, "end": 2330.8, "word": " set", "probability": 0.51904296875}, {"start": 2330.8, "end": 2331.14, "word": " هذه", "probability": 0.461669921875}, {"start": 2331.14, "end": 2331.46, "word": " subset", "probability": 0.94482421875}, {"start": 2331.46, "end": 2331.78, "word": " من", "probability": 0.9765625}, {"start": 2331.78, "end": 2331.96, "word": " هذه", "probability": 0.8125}, {"start": 2331.96, "end": 2333.4, "word": " لأنه", "probability": 0.5362141927083334}, {"start": 2333.4, "end": 2333.86, "word": " خدوا", "probability": 0.7291666666666666}, {"start": 2333.86, "end": 2334.3, "word": " أي", "probability": 0.73046875}, {"start": 2334.3, "end": 2335.08, "word": " عنصر", "probability": 0.9326171875}, {"start": 2335.08, "end": 2335.5, "word": " هنا", "probability": 0.93701171875}, {"start": 2335.5, "end": 2336.6, "word": " فأي", "probability": 0.8981119791666666}, {"start": 2336.6, "end": 2337.04, "word": " عنصر", "probability": 0.9773763020833334}, {"start": 2337.04, "end": 2337.3, "word": " هنا", "probability": 0.94677734375}, {"start": 2337.3, "end": 2337.7, "word": " عبارة", "probability": 0.976318359375}, {"start": 2337.7, "end": 2337.9, "word": " عن", "probability": 0.9833984375}, {"start": 2337.9, "end": 2338.14, "word": " f", "probability": 0.74462890625}, {"start": 2338.14, "end": 2338.36, "word": " of", "probability": 0.466796875}, {"start": 2338.36, "end": 2338.72, "word": " x", "probability": 0.86474609375}, {"start": 2338.72, "end": 2339.88, "word": " for", "probability": 0.91796875}, {"start": 2339.88, "end": 2340.26, "word": " some", "probability": 0.8662109375}, {"start": 2340.26, "end": 2340.64, "word": " x", "probability": 0.9814453125}, {"start": 2340.64, "end": 2341.28, "word": " ينتمي", "probability": 0.9710693359375}, {"start": 2341.28, "end": 2341.48, "word": " ل", "probability": 0.55029296875}, {"start": 2341.48, "end": 2341.76, "word": " I", "probability": 0.5712890625}, {"start": 2341.76, "end": 2343.8, "word": " صح", "probability": 0.7734375}, {"start": 2343.8, "end": 2345.3, "word": " فأي", "probability": 0.8981119791666666}, {"start": 2345.3, "end": 2345.5, "word": " f", "probability": 0.9208984375}, {"start": 2345.5, "end": 2345.66, "word": " of", "probability": 0.94970703125}, {"start": 2345.66, "end": 2345.84, "word": " x", "probability": 0.96826171875}, {"start": 2345.84, "end": 2346.02, "word": " for", "probability": 0.96875}, {"start": 2346.02, "end": 2346.28, "word": " some", "probability": 0.9052734375}, {"start": 2346.28, "end": 2346.48, "word": " x", "probability": 0.984375}, {"start": 2346.48, "end": 2347.0, "word": " ينتمي", "probability": 0.9852294921875}, {"start": 2347.0, "end": 2347.1, "word": " ل", "probability": 0.9384765625}, {"start": 2347.1, "end": 2347.38, "word": " I", "probability": 0.9765625}, {"start": 2347.38, "end": 2347.64, "word": " هي", "probability": 0.82421875}], "temperature": 1.0}, {"id": 86, "seek": 236477, "start": 2348.63, "end": 2364.77, "text": "محصور من small m وcapital M وبالتالي ينتمي للفترة المغلقة هذه، لأن كل أنصر أنا هو أنصر في الفترة المغلقة، لأن هذا الاحتواء صحيح، تمام؟ الان احنا بنثبت المساواة", "tokens": [2304, 5016, 9381, 13063, 9154, 1359, 275, 4032, 9485, 1686, 376, 46599, 6027, 2655, 6027, 1829, 7251, 29399, 2304, 1829, 24976, 5172, 2655, 25720, 9673, 17082, 1211, 28671, 29538, 12399, 5296, 33456, 28242, 14739, 9381, 2288, 41850, 31439, 14739, 9381, 2288, 8978, 27188, 2655, 25720, 9673, 17082, 1211, 28671, 12399, 5296, 33456, 23758, 42963, 33753, 2407, 16606, 20328, 5016, 1829, 5016, 12399, 46811, 10943, 22807, 2423, 7649, 1975, 5016, 8315, 44945, 12984, 3555, 2655, 9673, 3794, 995, 14407, 3660], "avg_logprob": -0.2939453057944775, "compression_ratio": 1.5953757225433527, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 2348.63, "end": 2349.25, "word": "محصور", "probability": 0.737945556640625}, {"start": 2349.25, "end": 2349.45, "word": " من", "probability": 0.64794921875}, {"start": 2349.45, "end": 2349.79, "word": " small", "probability": 0.53662109375}, {"start": 2349.79, "end": 2350.01, "word": " m", "probability": 0.724609375}, {"start": 2350.01, "end": 2350.55, "word": " وcapital", "probability": 0.720458984375}, {"start": 2350.55, "end": 2350.83, "word": " M", "probability": 0.8193359375}, {"start": 2350.83, "end": 2351.67, "word": " وبالتالي", "probability": 0.90146484375}, {"start": 2351.67, "end": 2352.73, "word": " ينتمي", "probability": 0.9593505859375}, {"start": 2352.73, "end": 2353.25, "word": " للفترة", "probability": 0.9361572265625}, {"start": 2353.25, "end": 2353.71, "word": " المغلقة", "probability": 0.8681640625}, {"start": 2353.71, "end": 2354.15, "word": " هذه،", "probability": 0.280853271484375}, {"start": 2354.15, "end": 2354.41, "word": " لأن", "probability": 0.498291015625}, {"start": 2354.41, "end": 2354.59, "word": " كل", "probability": 0.8642578125}, {"start": 2354.59, "end": 2354.99, "word": " أنصر", "probability": 0.7008463541666666}, {"start": 2354.99, "end": 2355.17, "word": " أنا", "probability": 0.218017578125}, {"start": 2355.17, "end": 2355.39, "word": " هو", "probability": 0.298095703125}, {"start": 2355.39, "end": 2356.49, "word": " أنصر", "probability": 0.9417317708333334}, {"start": 2356.49, "end": 2356.61, "word": " في", "probability": 0.8779296875}, {"start": 2356.61, "end": 2356.99, "word": " الفترة", "probability": 0.9894205729166666}, {"start": 2356.99, "end": 2357.53, "word": " المغلقة،", "probability": 0.8849609375}, {"start": 2357.53, "end": 2357.69, "word": " لأن", "probability": 0.823486328125}, {"start": 2357.69, "end": 2357.89, "word": " هذا", "probability": 0.93408203125}, {"start": 2357.89, "end": 2358.41, "word": " الاحتواء", "probability": 0.8201904296875}, {"start": 2358.41, "end": 2359.27, "word": " صحيح،", "probability": 0.88193359375}, {"start": 2359.27, "end": 2360.81, "word": " تمام؟", "probability": 0.9104817708333334}, {"start": 2360.81, "end": 2362.49, "word": " الان", "probability": 0.5931396484375}, {"start": 2362.49, "end": 2362.67, "word": " احنا", "probability": 0.8101399739583334}, {"start": 2362.67, "end": 2363.33, "word": " بنثبت", "probability": 0.82733154296875}, {"start": 2363.33, "end": 2364.77, "word": " المساواة", "probability": 0.9203125}], "temperature": 1.0}, {"id": 87, "seek": 239609, "start": 2370.09, "end": 2396.09, "text": "إن ال range لل function f بساوي كل الفترة المغلقة من small m لcapital M فلإثبات ذلك هي عندي أنا to prove this it remains", "tokens": [28814, 1863, 2423, 3613, 24976, 2445, 283, 4724, 3794, 995, 45865, 28242, 27188, 2655, 25720, 9673, 17082, 1211, 28671, 9154, 1359, 275, 5296, 9485, 1686, 376, 6156, 1211, 28814, 12984, 3555, 9307, 29910, 23275, 39896, 18871, 16254, 41850, 281, 7081, 341, 309, 7023], "avg_logprob": -0.3441051102497361, "compression_ratio": 1.1666666666666667, "no_speech_prob": 0.0, "words": [{"start": 2370.09, "end": 2370.47, "word": "إن", "probability": 0.5272216796875}, {"start": 2370.47, "end": 2371.01, "word": " ال", "probability": 0.6171875}, {"start": 2371.01, "end": 2372.27, "word": " range", "probability": 0.61279296875}, {"start": 2372.27, "end": 2372.77, "word": " لل", "probability": 0.25927734375}, {"start": 2372.77, "end": 2373.13, "word": " function", "probability": 0.469970703125}, {"start": 2373.13, "end": 2373.57, "word": " f", "probability": 0.6357421875}, {"start": 2373.57, "end": 2374.83, "word": " بساوي", "probability": 0.7664794921875}, {"start": 2374.83, "end": 2375.15, "word": " كل", "probability": 0.94140625}, {"start": 2375.15, "end": 2375.63, "word": " الفترة", "probability": 0.9866536458333334}, {"start": 2375.63, "end": 2376.19, "word": " المغلقة", "probability": 0.862060546875}, {"start": 2376.19, "end": 2376.43, "word": " من", "probability": 0.57421875}, {"start": 2376.43, "end": 2376.93, "word": " small", "probability": 0.69873046875}, {"start": 2376.93, "end": 2377.35, "word": " m", "probability": 0.75048828125}, {"start": 2377.35, "end": 2378.11, "word": " لcapital", "probability": 0.76123046875}, {"start": 2378.11, "end": 2379.09, "word": " M", "probability": 0.8828125}, {"start": 2379.09, "end": 2384.15, "word": " فلإثبات", "probability": 0.8291829427083334}, {"start": 2384.15, "end": 2384.75, "word": " ذلك", "probability": 0.989501953125}, {"start": 2384.75, "end": 2385.51, "word": " هي", "probability": 0.248291015625}, {"start": 2385.51, "end": 2385.91, "word": " عندي", "probability": 0.8642578125}, {"start": 2385.91, "end": 2386.27, "word": " أنا", "probability": 0.55078125}, {"start": 2386.27, "end": 2388.35, "word": " to", "probability": 0.81494140625}, {"start": 2388.35, "end": 2388.87, "word": " prove", "probability": 0.93994140625}, {"start": 2388.87, "end": 2391.25, "word": " this", "probability": 0.9521484375}, {"start": 2391.25, "end": 2395.35, "word": " it", "probability": 0.92529296875}, {"start": 2395.35, "end": 2396.09, "word": " remains", "probability": 0.8623046875}], "temperature": 1.0}, {"id": 88, "seek": 241237, "start": 2399.39, "end": 2412.37, "text": "it remains to show يبقى اثبات دا في اثبات ان احنا لثبت الاحتواء المعاكس the reverse inclusion", "tokens": [270, 7023, 281, 855, 7251, 3555, 4587, 7578, 1975, 12984, 3555, 9307, 11778, 995, 8978, 1975, 12984, 3555, 9307, 16472, 1975, 5016, 8315, 5296, 12984, 3555, 2655, 42963, 33753, 2407, 16606, 9673, 3615, 995, 4117, 3794, 264, 9943, 15874], "avg_logprob": -0.24687499254941941, "compression_ratio": 1.1929824561403508, "no_speech_prob": 0.0, "words": [{"start": 2399.39, "end": 2399.77, "word": "it", "probability": 0.10693359375}, {"start": 2399.77, "end": 2400.39, "word": " remains", "probability": 0.89111328125}, {"start": 2400.39, "end": 2400.67, "word": " to", "probability": 0.95751953125}, {"start": 2400.67, "end": 2401.15, "word": " show", "probability": 0.896484375}, {"start": 2401.15, "end": 2403.99, "word": " يبقى", "probability": 0.896484375}, {"start": 2403.99, "end": 2404.67, "word": " اثبات", "probability": 0.8450927734375}, {"start": 2404.67, "end": 2406.19, "word": " دا", "probability": 0.4658203125}, {"start": 2406.19, "end": 2406.31, "word": " في", "probability": 0.59521484375}, {"start": 2406.31, "end": 2406.89, "word": " اثبات", "probability": 0.9639892578125}, {"start": 2406.89, "end": 2407.73, "word": " ان", "probability": 0.7294921875}, {"start": 2407.73, "end": 2407.93, "word": " احنا", "probability": 0.9547526041666666}, {"start": 2407.93, "end": 2408.43, "word": " لثبت", "probability": 0.882080078125}, {"start": 2408.43, "end": 2409.01, "word": " الاحتواء", "probability": 0.885498046875}, {"start": 2409.01, "end": 2409.81, "word": " المعاكس", "probability": 0.976953125}, {"start": 2409.81, "end": 2411.09, "word": " the", "probability": 0.1673583984375}, {"start": 2411.09, "end": 2411.65, "word": " reverse", "probability": 0.88916015625}, {"start": 2411.65, "end": 2412.37, "word": " inclusion", "probability": 0.92578125}], "temperature": 1.0}, {"id": 89, "seek": 244685, "start": 2418.55, "end": 2446.85, "text": "إذا يبقى إثبات إن الفترة المغلقة من small m to capital M contained in F of I فكيف نثبت إحنا set subset من الأخرى نسميه برهان بإيه بتتبع العناصر يعني بناخد أنصر في المجموعة الأولى", "tokens": [28814, 15730, 7251, 3555, 4587, 7578, 11933, 12984, 3555, 9307, 36145, 27188, 2655, 25720, 9673, 17082, 1211, 28671, 9154, 1359, 275, 281, 4238, 376, 16212, 294, 479, 295, 286, 6156, 4117, 33911, 8717, 12984, 3555, 2655, 11933, 5016, 8315, 992, 25993, 9154, 16247, 34740, 7578, 8717, 38251, 1829, 3224, 4724, 2288, 3224, 7649, 4724, 28814, 1829, 3224, 39894, 2655, 3555, 3615, 18863, 1863, 33546, 2288, 37495, 22653, 44945, 47283, 3215, 14739, 9381, 2288, 8978, 9673, 7435, 2304, 2407, 27884, 16247, 12610, 7578], "avg_logprob": -0.26393072145530977, "compression_ratio": 1.4314720812182742, "no_speech_prob": 0.0, "words": [{"start": 2418.55, "end": 2419.63, "word": "إذا", "probability": 0.427154541015625}, {"start": 2419.63, "end": 2420.71, "word": " يبقى", "probability": 0.83941650390625}, {"start": 2420.71, "end": 2421.23, "word": " إثبات", "probability": 0.876953125}, {"start": 2421.23, "end": 2424.15, "word": " إن", "probability": 0.3515625}, {"start": 2424.15, "end": 2425.17, "word": " الفترة", "probability": 0.97216796875}, {"start": 2425.17, "end": 2425.91, "word": " المغلقة", "probability": 0.978759765625}, {"start": 2425.91, "end": 2426.29, "word": " من", "probability": 0.70751953125}, {"start": 2426.29, "end": 2426.91, "word": " small", "probability": 0.57568359375}, {"start": 2426.91, "end": 2427.45, "word": " m", "probability": 0.441162109375}, {"start": 2427.45, "end": 2428.67, "word": " to", "probability": 0.6123046875}, {"start": 2428.67, "end": 2429.25, "word": " capital", "probability": 0.88232421875}, {"start": 2429.25, "end": 2429.67, "word": " M", "probability": 0.8779296875}, {"start": 2429.67, "end": 2430.27, "word": " contained", "probability": 0.4501953125}, {"start": 2430.27, "end": 2430.89, "word": " in", "probability": 0.9580078125}, {"start": 2430.89, "end": 2431.33, "word": " F", "probability": 0.64208984375}, {"start": 2431.33, "end": 2432.73, "word": " of", "probability": 0.90087890625}, {"start": 2432.73, "end": 2433.17, "word": " I", "probability": 0.9736328125}, {"start": 2433.17, "end": 2434.73, "word": " فكيف", "probability": 0.8922526041666666}, {"start": 2434.73, "end": 2435.23, "word": " نثبت", "probability": 0.86383056640625}, {"start": 2435.23, "end": 2435.55, "word": " إحنا", "probability": 0.7185465494791666}, {"start": 2435.55, "end": 2435.97, "word": " set", "probability": 0.76806640625}, {"start": 2435.97, "end": 2436.39, "word": " subset", "probability": 0.8603515625}, {"start": 2436.39, "end": 2436.57, "word": " من", "probability": 0.990234375}, {"start": 2436.57, "end": 2437.01, "word": " الأخرى", "probability": 0.82763671875}, {"start": 2437.01, "end": 2441.57, "word": " نسميه", "probability": 0.51446533203125}, {"start": 2441.57, "end": 2442.17, "word": " برهان", "probability": 0.906982421875}, {"start": 2442.17, "end": 2442.53, "word": " بإيه", "probability": 0.8111572265625}, {"start": 2442.53, "end": 2443.15, "word": " بتتبع", "probability": 0.7825927734375}, {"start": 2443.15, "end": 2443.77, "word": " العناصر", "probability": 0.9346923828125}, {"start": 2443.77, "end": 2444.95, "word": " يعني", "probability": 0.795166015625}, {"start": 2444.95, "end": 2445.37, "word": " بناخد", "probability": 0.8430989583333334}, {"start": 2445.37, "end": 2445.81, "word": " أنصر", "probability": 0.8758138020833334}, {"start": 2445.81, "end": 2445.95, "word": " في", "probability": 0.51171875}, {"start": 2445.95, "end": 2446.37, "word": " المجموعة", "probability": 0.93798828125}, {"start": 2446.37, "end": 2446.85, "word": " الأولى", "probability": 0.9915364583333334}], "temperature": 1.0}, {"id": 90, "seek": 247321, "start": 2447.38, "end": 2473.22, "text": "نثبت العناصر في المجموعة التانية هذا بيسموه في رياضيات الـ chasing of elements argument برهان بتطبع العناصر فقالت why تنتمي للفترة المغلقة من small m لcapital M طيب هذا بيقدّي", "tokens": [1863, 12984, 3555, 2655, 18863, 1863, 33546, 2288, 8978, 9673, 7435, 2304, 45367, 3660, 16712, 7649, 10632, 23758, 4724, 1829, 38251, 2407, 3224, 8978, 12602, 1829, 46958, 1829, 9307, 2423, 39184, 17876, 295, 4959, 6770, 4724, 2288, 3224, 7649, 39894, 9566, 3555, 3615, 18863, 1863, 33546, 2288, 6156, 4587, 6027, 2655, 983, 6055, 29399, 2304, 1829, 24976, 5172, 2655, 25720, 9673, 17082, 1211, 28671, 9154, 1359, 275, 5296, 9485, 1686, 376, 23032, 1829, 3555, 23758, 4724, 1829, 28543, 11703, 1829], "avg_logprob": -0.1996527777777778, "compression_ratio": 1.4761904761904763, "no_speech_prob": 0.0, "words": [{"start": 2447.38, "end": 2447.9, "word": "نثبت", "probability": 0.83355712890625}, {"start": 2447.9, "end": 2448.42, "word": " العناصر", "probability": 0.8985595703125}, {"start": 2448.42, "end": 2448.54, "word": " في", "probability": 0.8271484375}, {"start": 2448.54, "end": 2449.18, "word": " المجموعة", "probability": 0.86015625}, {"start": 2449.18, "end": 2449.54, "word": " التانية", "probability": 0.9850260416666666}, {"start": 2449.54, "end": 2449.74, "word": " هذا", "probability": 0.53125}, {"start": 2449.74, "end": 2450.24, "word": " بيسموه", "probability": 0.9375}, {"start": 2450.24, "end": 2450.34, "word": " في", "probability": 0.94970703125}, {"start": 2450.34, "end": 2450.94, "word": " رياضيات", "probability": 0.9341796875}, {"start": 2450.94, "end": 2451.58, "word": " الـ", "probability": 0.4210205078125}, {"start": 2451.58, "end": 2451.94, "word": " chasing", "probability": 0.39208984375}, {"start": 2451.94, "end": 2452.52, "word": " of", "probability": 0.95654296875}, {"start": 2452.52, "end": 2453.08, "word": " elements", "probability": 0.7578125}, {"start": 2453.08, "end": 2453.8, "word": " argument", "probability": 0.7216796875}, {"start": 2453.8, "end": 2454.46, "word": " برهان", "probability": 0.8846435546875}, {"start": 2454.46, "end": 2455.52, "word": " بتطبع", "probability": 0.718505859375}, {"start": 2455.52, "end": 2456.56, "word": " العناصر", "probability": 0.981689453125}, {"start": 2456.56, "end": 2458.72, "word": " فقالت", "probability": 0.71240234375}, {"start": 2458.72, "end": 2461.54, "word": " why", "probability": 0.461181640625}, {"start": 2461.54, "end": 2463.88, "word": " تنتمي", "probability": 0.921630859375}, {"start": 2463.88, "end": 2466.24, "word": " للفترة", "probability": 0.9229736328125}, {"start": 2466.24, "end": 2467.12, "word": " المغلقة", "probability": 0.9771728515625}, {"start": 2467.12, "end": 2467.58, "word": " من", "probability": 0.95458984375}, {"start": 2467.58, "end": 2469.12, "word": " small", "probability": 0.356201171875}, {"start": 2469.12, "end": 2469.5, "word": " m", "probability": 0.708984375}, {"start": 2469.5, "end": 2470.1, "word": " لcapital", "probability": 0.8932291666666666}, {"start": 2470.1, "end": 2470.42, "word": " M", "probability": 0.904296875}, {"start": 2470.42, "end": 2472.28, "word": " طيب", "probability": 0.89208984375}, {"start": 2472.28, "end": 2472.58, "word": " هذا", "probability": 0.7978515625}, {"start": 2472.58, "end": 2473.22, "word": " بيقدّي", "probability": 0.791015625}], "temperature": 1.0}, {"id": 91, "seek": 250050, "start": 2474.88, "end": 2500.5, "text": "الـ y أكبر من أو ساوي small m أصغر من أو ساوي capital M وهذا عبارة عن الـ infimum لـ range الـ function f وهذا بساوي الـ supremum لـ range الـ function f", "tokens": [6027, 39184, 288, 5551, 4117, 26890, 9154, 34051, 8608, 995, 45865, 1359, 275, 5551, 9381, 17082, 2288, 9154, 34051, 8608, 995, 45865, 4238, 376, 37037, 15730, 6225, 3555, 9640, 3660, 18871, 2423, 39184, 1536, 332, 449, 5296, 39184, 3613, 2423, 39184, 2445, 283, 37037, 15730, 4724, 3794, 995, 45865, 2423, 39184, 23710, 449, 5296, 39184, 3613, 2423, 39184, 2445, 283], "avg_logprob": -0.28355533959435636, "compression_ratio": 1.588235294117647, "no_speech_prob": 0.0, "words": [{"start": 2474.88, "end": 2475.88, "word": "الـ", "probability": 0.42327880859375}, {"start": 2475.88, "end": 2476.26, "word": " y", "probability": 0.451416015625}, {"start": 2476.26, "end": 2476.9, "word": " أكبر", "probability": 0.8763020833333334}, {"start": 2476.9, "end": 2477.08, "word": " من", "probability": 0.68310546875}, {"start": 2477.08, "end": 2477.28, "word": " أو", "probability": 0.9287109375}, {"start": 2477.28, "end": 2477.74, "word": " ساوي", "probability": 0.9270833333333334}, {"start": 2477.74, "end": 2478.24, "word": " small", "probability": 0.427734375}, {"start": 2478.24, "end": 2478.66, "word": " m", "probability": 0.87255859375}, {"start": 2478.66, "end": 2479.24, "word": " أصغر", "probability": 0.940185546875}, {"start": 2479.24, "end": 2479.36, "word": " من", "probability": 0.990234375}, {"start": 2479.36, "end": 2479.54, "word": " أو", "probability": 0.98779296875}, {"start": 2479.54, "end": 2480.0, "word": " ساوي", "probability": 0.9599609375}, {"start": 2480.0, "end": 2480.44, "word": " capital", "probability": 0.373046875}, {"start": 2480.44, "end": 2482.86, "word": " M", "probability": 0.90869140625}, {"start": 2482.86, "end": 2485.8, "word": " وهذا", "probability": 0.704833984375}, {"start": 2485.8, "end": 2486.38, "word": " عبارة", "probability": 0.9737548828125}, {"start": 2486.38, "end": 2486.78, "word": " عن", "probability": 0.98681640625}, {"start": 2486.78, "end": 2487.78, "word": " الـ", "probability": 0.3804931640625}, {"start": 2487.78, "end": 2488.52, "word": " infimum", "probability": 0.873046875}, {"start": 2488.52, "end": 2491.22, "word": " لـ", "probability": 0.499755859375}, {"start": 2491.22, "end": 2491.72, "word": " range", "probability": 0.8359375}, {"start": 2491.72, "end": 2492.06, "word": " الـ", "probability": 0.635009765625}, {"start": 2492.06, "end": 2492.66, "word": " function", "probability": 0.90380859375}, {"start": 2492.66, "end": 2493.16, "word": " f", "probability": 0.603515625}, {"start": 2493.16, "end": 2493.86, "word": " وهذا", "probability": 0.9169921875}, {"start": 2493.86, "end": 2495.42, "word": " بساوي", "probability": 0.7745361328125}, {"start": 2495.42, "end": 2495.68, "word": " الـ", "probability": 0.5001220703125}, {"start": 2495.68, "end": 2496.74, "word": " supremum", "probability": 0.6558837890625}, {"start": 2496.74, "end": 2499.0, "word": " لـ", "probability": 0.86279296875}, {"start": 2499.0, "end": 2499.46, "word": " range", "probability": 0.9443359375}, {"start": 2499.46, "end": 2499.7, "word": " الـ", "probability": 0.933349609375}, {"start": 2499.7, "end": 2500.04, "word": " function", "probability": 0.9658203125}, {"start": 2500.04, "end": 2500.5, "word": " f", "probability": 0.90966796875}], "temperature": 1.0}, {"id": 92, "seek": 253098, "start": 2507.54, "end": 2530.98, "text": "وعندي ال .. إذا حسب ال .. ال corollary تبع النظرية هذه فإن عندي ال function if continuous على الفترة المغلقة a,b فعندي if continuous على الفترة المغلقة a,b", "tokens": [2407, 3615, 1863, 16254, 2423, 4386, 11933, 15730, 11331, 35457, 2423, 4386, 2423, 1181, 1833, 822, 6055, 3555, 3615, 28239, 19913, 2288, 10632, 29538, 6156, 28814, 1863, 18871, 16254, 2423, 2445, 498, 10957, 15844, 27188, 2655, 25720, 9673, 17082, 1211, 28671, 257, 11, 65, 6156, 3615, 41260, 1829, 498, 10957, 15844, 27188, 2655, 25720, 9673, 17082, 1211, 28671, 257, 11, 65], "avg_logprob": -0.2515120828343976, "compression_ratio": 1.6382978723404256, "no_speech_prob": 0.0, "words": [{"start": 2507.54, "end": 2508.48, "word": "وعندي", "probability": 0.5931396484375}, {"start": 2508.48, "end": 2508.92, "word": " ال", "probability": 0.60986328125}, {"start": 2508.92, "end": 2511.4, "word": " ..", "probability": 0.64599609375}, {"start": 2511.4, "end": 2512.56, "word": " إذا", "probability": 0.622802734375}, {"start": 2512.56, "end": 2513.16, "word": " حسب", "probability": 0.973876953125}, {"start": 2513.16, "end": 2513.5, "word": " ال", "probability": 0.97705078125}, {"start": 2513.5, "end": 2514.18, "word": " ..", "probability": 0.56884765625}, {"start": 2514.18, "end": 2514.72, "word": " ال", "probability": 0.9033203125}, {"start": 2514.72, "end": 2515.3, "word": " corollary", "probability": 0.7019856770833334}, {"start": 2515.3, "end": 2516.96, "word": " تبع", "probability": 0.9138997395833334}, {"start": 2516.96, "end": 2517.54, "word": " النظرية", "probability": 0.956298828125}, {"start": 2517.54, "end": 2518.04, "word": " هذه", "probability": 0.88037109375}, {"start": 2518.04, "end": 2519.94, "word": " فإن", "probability": 0.43408203125}, {"start": 2519.94, "end": 2520.36, "word": " عندي", "probability": 0.8955078125}, {"start": 2520.36, "end": 2520.52, "word": " ال", "probability": 0.56298828125}, {"start": 2520.52, "end": 2520.88, "word": " function", "probability": 0.935546875}, {"start": 2520.88, "end": 2521.32, "word": " if", "probability": 0.44482421875}, {"start": 2521.32, "end": 2522.56, "word": " continuous", "probability": 0.953125}, {"start": 2522.56, "end": 2523.22, "word": " على", "probability": 0.80419921875}, {"start": 2523.22, "end": 2524.06, "word": " الفترة", "probability": 0.98388671875}, {"start": 2524.06, "end": 2526.62, "word": " المغلقة", "probability": 0.968994140625}, {"start": 2526.62, "end": 2526.9, "word": " a", "probability": 0.580078125}, {"start": 2526.9, "end": 2527.2, "word": ",b", "probability": 0.771240234375}, {"start": 2527.2, "end": 2528.42, "word": " فعندي", "probability": 0.7222900390625}, {"start": 2528.42, "end": 2528.64, "word": " if", "probability": 0.81005859375}, {"start": 2528.64, "end": 2529.18, "word": " continuous", "probability": 0.94287109375}, {"start": 2529.18, "end": 2529.6, "word": " على", "probability": 0.8798828125}, {"start": 2529.6, "end": 2530.04, "word": " الفترة", "probability": 0.9557291666666666}, {"start": 2530.04, "end": 2530.52, "word": " المغلقة", "probability": 0.9862060546875}, {"start": 2530.52, "end": 2530.84, "word": " a", "probability": 0.9794921875}, {"start": 2530.84, "end": 2530.98, "word": ",b", "probability": 0.989013671875}], "temperature": 1.0}, {"id": 93, "seek": 255104, "start": 2532.92, "end": 2551.04, "text": "وعندي k اللي هو y عدد محصور بين ال infimum ل f of i و ال suprem ل f of i by above corollary", "tokens": [2407, 3615, 1863, 16254, 350, 13672, 1829, 31439, 288, 6225, 3215, 3215, 3714, 5016, 9381, 13063, 49374, 2423, 1536, 332, 449, 5296, 283, 295, 741, 4032, 2423, 23710, 5296, 283, 295, 741, 538, 3673, 1181, 1833, 822], "avg_logprob": -0.3778782800624245, "compression_ratio": 1.1320754716981132, "no_speech_prob": 0.0, "words": [{"start": 2532.9199999999996, "end": 2533.68, "word": "وعندي", "probability": 0.512725830078125}, {"start": 2533.68, "end": 2534.14, "word": " k", "probability": 0.2919921875}, {"start": 2534.14, "end": 2534.34, "word": " اللي", "probability": 0.67138671875}, {"start": 2534.34, "end": 2534.62, "word": " هو", "probability": 0.9775390625}, {"start": 2534.62, "end": 2535.08, "word": " y", "probability": 0.69677734375}, {"start": 2535.08, "end": 2536.68, "word": " عدد", "probability": 0.9357096354166666}, {"start": 2536.68, "end": 2537.36, "word": " محصور", "probability": 0.931640625}, {"start": 2537.36, "end": 2537.68, "word": " بين", "probability": 0.9423828125}, {"start": 2537.68, "end": 2537.88, "word": " ال", "probability": 0.8515625}, {"start": 2537.88, "end": 2538.44, "word": " infimum", "probability": 0.7085774739583334}, {"start": 2538.44, "end": 2538.58, "word": " ل", "probability": 0.8935546875}, {"start": 2538.58, "end": 2538.8, "word": " f", "probability": 0.35107421875}, {"start": 2538.8, "end": 2539.02, "word": " of", "probability": 0.69921875}, {"start": 2539.02, "end": 2539.42, "word": " i", "probability": 0.6669921875}, {"start": 2539.42, "end": 2540.18, "word": " و", "probability": 0.4716796875}, {"start": 2540.18, "end": 2540.34, "word": " ال", "probability": 0.57080078125}, {"start": 2540.34, "end": 2540.58, "word": " suprem", "probability": 0.6689453125}, {"start": 2540.58, "end": 2540.94, "word": " ل", "probability": 0.85498046875}, {"start": 2540.94, "end": 2541.22, "word": " f", "probability": 0.8828125}, {"start": 2541.22, "end": 2541.48, "word": " of", "probability": 0.9638671875}, {"start": 2541.48, "end": 2543.98, "word": " i", "probability": 0.8427734375}, {"start": 2543.98, "end": 2548.52, "word": " by", "probability": 0.1336669921875}, {"start": 2548.52, "end": 2550.34, "word": " above", "probability": 0.9306640625}, {"start": 2550.34, "end": 2551.04, "word": " corollary", "probability": 0.9462890625}], "temperature": 1.0}, {"id": 94, "seek": 257598, "start": 2553.07, "end": 2575.99, "text": "القرن اللي لـ Bolzano Intermediate Value Theorem يقول إن يوجد C ينتمي للفترة I بحيث أن F of C بساوي العدد Y اللي هو قابل الـK في نص النظرية", "tokens": [6027, 4587, 2288, 1863, 13672, 1829, 5296, 39184, 14331, 89, 3730, 5751, 3130, 473, 39352, 440, 37956, 7251, 39648, 36145, 7251, 29245, 3215, 383, 7251, 29399, 2304, 1829, 24976, 5172, 2655, 25720, 286, 4724, 5016, 1829, 12984, 14739, 479, 295, 383, 4724, 3794, 995, 45865, 18863, 3215, 3215, 398, 13672, 1829, 31439, 12174, 16758, 1211, 2423, 39184, 42, 8978, 8717, 9381, 28239, 19913, 2288, 10632], "avg_logprob": -0.3226799224362229, "compression_ratio": 1.2339181286549707, "no_speech_prob": 0.0, "words": [{"start": 2553.07, "end": 2553.63, "word": "القرن", "probability": 0.51702880859375}, {"start": 2553.63, "end": 2553.79, "word": " اللي", "probability": 0.77392578125}, {"start": 2553.79, "end": 2554.47, "word": " لـ", "probability": 0.25079345703125}, {"start": 2554.47, "end": 2555.39, "word": " Bolzano", "probability": 0.865234375}, {"start": 2555.39, "end": 2556.09, "word": " Intermediate", "probability": 0.8312174479166666}, {"start": 2556.09, "end": 2556.37, "word": " Value", "probability": 0.91552734375}, {"start": 2556.37, "end": 2556.79, "word": " Theorem", "probability": 0.66748046875}, {"start": 2556.79, "end": 2558.11, "word": " يقول", "probability": 0.7783203125}, {"start": 2558.11, "end": 2558.41, "word": " إن", "probability": 0.34765625}, {"start": 2558.41, "end": 2559.17, "word": " يوجد", "probability": 0.8719075520833334}, {"start": 2559.17, "end": 2559.79, "word": " C", "probability": 0.479248046875}, {"start": 2559.79, "end": 2560.89, "word": " ينتمي", "probability": 0.9698486328125}, {"start": 2560.89, "end": 2561.61, "word": " للفترة", "probability": 0.905029296875}, {"start": 2561.61, "end": 2562.03, "word": " I", "probability": 0.94677734375}, {"start": 2562.03, "end": 2563.39, "word": " بحيث", "probability": 0.931396484375}, {"start": 2563.39, "end": 2563.63, "word": " أن", "probability": 0.63525390625}, {"start": 2563.63, "end": 2565.49, "word": " F", "probability": 0.63232421875}, {"start": 2565.49, "end": 2565.77, "word": " of", "probability": 0.455322265625}, {"start": 2565.77, "end": 2566.19, "word": " C", "probability": 0.974609375}, {"start": 2566.19, "end": 2570.09, "word": " بساوي", "probability": 0.640411376953125}, {"start": 2570.09, "end": 2570.51, "word": " العدد", "probability": 0.92822265625}, {"start": 2570.51, "end": 2570.89, "word": " Y", "probability": 0.96435546875}, {"start": 2570.89, "end": 2571.77, "word": " اللي", "probability": 0.6778564453125}, {"start": 2571.77, "end": 2571.97, "word": " هو", "probability": 0.951171875}, {"start": 2571.97, "end": 2573.15, "word": " قابل", "probability": 0.72802734375}, {"start": 2573.15, "end": 2574.97, "word": " الـK", "probability": 0.3979899088541667}, {"start": 2574.97, "end": 2575.15, "word": " في", "probability": 0.74951171875}, {"start": 2575.15, "end": 2575.37, "word": " نص", "probability": 0.912353515625}, {"start": 2575.37, "end": 2575.99, "word": " النظرية", "probability": 0.9105224609375}], "temperature": 1.0}, {"id": 95, "seek": 260369, "start": 2576.91, "end": 2603.69, "text": "الـ C ينتمي لـ I إذاً F of C تنتمي لـ F للست F of I إذا هاني بدأت بـ Y ينتمي للفترة المغلقة طلع Y ينتمي لـ F of I Therefore Hence هيك منكون أثباتنا أن الفترة المغلقة من small m لcapital M is contained", "tokens": [6027, 39184, 383, 7251, 29399, 2304, 1829, 5296, 39184, 286, 11933, 15730, 14111, 479, 295, 383, 6055, 29399, 2304, 1829, 5296, 39184, 479, 24976, 14851, 479, 295, 286, 11933, 15730, 8032, 7649, 1829, 47525, 10721, 2655, 4724, 39184, 398, 7251, 29399, 2304, 1829, 24976, 5172, 2655, 25720, 9673, 17082, 1211, 28671, 23032, 1211, 3615, 398, 7251, 29399, 2304, 1829, 5296, 39184, 479, 295, 286, 7504, 22229, 39896, 4117, 9154, 30544, 5551, 12984, 3555, 9307, 8315, 14739, 27188, 2655, 25720, 9673, 17082, 1211, 28671, 9154, 1359, 275, 5296, 9485, 1686, 376, 307, 16212], "avg_logprob": -0.2757056374703684, "compression_ratio": 1.582010582010582, "no_speech_prob": 0.0, "words": [{"start": 2576.91, "end": 2577.43, "word": "الـ", "probability": 0.5267333984375}, {"start": 2577.43, "end": 2577.65, "word": " C", "probability": 0.52783203125}, {"start": 2577.65, "end": 2578.17, "word": " ينتمي", "probability": 0.9080810546875}, {"start": 2578.17, "end": 2578.33, "word": " لـ", "probability": 0.748779296875}, {"start": 2578.33, "end": 2578.51, "word": " I", "probability": 0.849609375}, {"start": 2578.51, "end": 2578.91, "word": " إذاً", "probability": 0.4724934895833333}, {"start": 2578.91, "end": 2579.09, "word": " F", "probability": 0.336669921875}, {"start": 2579.09, "end": 2579.27, "word": " of", "probability": 0.2822265625}, {"start": 2579.27, "end": 2579.53, "word": " C", "probability": 0.9755859375}, {"start": 2579.53, "end": 2580.81, "word": " تنتمي", "probability": 0.9610595703125}, {"start": 2580.81, "end": 2581.63, "word": " لـ", "probability": 0.4952392578125}, {"start": 2581.63, "end": 2581.91, "word": " F", "probability": 0.84326171875}, {"start": 2581.91, "end": 2582.97, "word": " للست", "probability": 0.595947265625}, {"start": 2582.97, "end": 2583.23, "word": " F", "probability": 0.908203125}, {"start": 2583.23, "end": 2583.47, "word": " of", "probability": 0.94873046875}, {"start": 2583.47, "end": 2583.79, "word": " I", "probability": 0.994140625}, {"start": 2583.79, "end": 2584.83, "word": " إذا", "probability": 0.774658203125}, {"start": 2584.83, "end": 2585.17, "word": " هاني", "probability": 0.5963541666666666}, {"start": 2585.17, "end": 2585.71, "word": " بدأت", "probability": 0.6761067708333334}, {"start": 2585.71, "end": 2586.13, "word": " بـ", "probability": 0.606201171875}, {"start": 2586.13, "end": 2586.15, "word": " Y", "probability": 0.82861328125}, {"start": 2586.15, "end": 2586.65, "word": " ينتمي", "probability": 0.952880859375}, {"start": 2586.65, "end": 2587.15, "word": " للفترة", "probability": 0.902587890625}, {"start": 2587.15, "end": 2587.63, "word": " المغلقة", "probability": 0.974609375}, {"start": 2587.63, "end": 2587.99, "word": " طلع", "probability": 0.8873697916666666}, {"start": 2587.99, "end": 2588.29, "word": " Y", "probability": 0.80810546875}, {"start": 2588.29, "end": 2588.85, "word": " ينتمي", "probability": 0.9864501953125}, {"start": 2588.85, "end": 2589.03, "word": " لـ", "probability": 0.80712890625}, {"start": 2589.03, "end": 2589.21, "word": " F", "probability": 0.896484375}, {"start": 2589.21, "end": 2589.41, "word": " of", "probability": 0.955078125}, {"start": 2589.41, "end": 2589.73, "word": " I", "probability": 0.99755859375}, {"start": 2589.73, "end": 2591.47, "word": " Therefore", "probability": 0.53662109375}, {"start": 2591.47, "end": 2594.39, "word": " Hence", "probability": 0.5869140625}, {"start": 2594.39, "end": 2597.57, "word": " هيك", "probability": 0.781494140625}, {"start": 2597.57, "end": 2597.83, "word": " منكون", "probability": 0.57421875}, {"start": 2597.83, "end": 2598.39, "word": " أثباتنا", "probability": 0.9134765625}, {"start": 2598.39, "end": 2598.55, "word": " أن", "probability": 0.67578125}, {"start": 2598.55, "end": 2599.05, "word": " الفترة", "probability": 0.9724934895833334}, {"start": 2599.05, "end": 2599.67, "word": " المغلقة", "probability": 0.9775390625}, {"start": 2599.67, "end": 2599.89, "word": " من", "probability": 0.4892578125}, {"start": 2599.89, "end": 2600.39, "word": " small", "probability": 0.40380859375}, {"start": 2600.39, "end": 2600.75, "word": " m", "probability": 0.56640625}, {"start": 2600.75, "end": 2601.47, "word": " لcapital", "probability": 0.8631184895833334}, {"start": 2601.47, "end": 2601.83, "word": " M", "probability": 0.97314453125}, {"start": 2601.83, "end": 2602.91, "word": " is", "probability": 0.8837890625}, {"start": 2602.91, "end": 2603.69, "word": " contained", "probability": 0.85693359375}], "temperature": 1.0}, {"id": 96, "seek": 262997, "start": 2605.31, "end": 2629.97, "text": "في ال set f of i هذا ببرهن ال claim و النظرية لأن هيك بيكون برهننا ال claim وبالتالي برهننا النظرية لأن هيك هي اثبتت ان ال image ل ال closed bounded interval I طلعت closed bounded interval صح و هو المطلوب", "tokens": [41185, 2423, 992, 283, 295, 741, 23758, 4724, 26890, 3224, 1863, 2423, 3932, 4032, 28239, 19913, 2288, 10632, 5296, 33456, 39896, 4117, 4724, 1829, 30544, 4724, 2288, 3224, 1863, 8315, 2423, 3932, 46599, 6027, 2655, 6027, 1829, 4724, 2288, 3224, 1863, 8315, 28239, 19913, 2288, 10632, 5296, 33456, 39896, 4117, 39896, 1975, 12984, 3555, 2655, 2655, 16472, 2423, 3256, 5296, 2423, 5395, 37498, 15035, 286, 23032, 1211, 34268, 5395, 37498, 15035, 20328, 5016, 4032, 31439, 9673, 9566, 1211, 37746], "avg_logprob": -0.3046875040978193, "compression_ratio": 1.78698224852071, "no_speech_prob": 0.0, "words": [{"start": 2605.31, "end": 2605.73, "word": "في", "probability": 0.0948486328125}, {"start": 2605.73, "end": 2606.73, "word": " ال", "probability": 0.35595703125}, {"start": 2606.73, "end": 2607.05, "word": " set", "probability": 0.338134765625}, {"start": 2607.05, "end": 2607.43, "word": " f", "probability": 0.52783203125}, {"start": 2607.43, "end": 2607.67, "word": " of", "probability": 0.56689453125}, {"start": 2607.67, "end": 2607.95, "word": " i", "probability": 0.52001953125}, {"start": 2607.95, "end": 2611.99, "word": " هذا", "probability": 0.70068359375}, {"start": 2611.99, "end": 2612.55, "word": " ببرهن", "probability": 0.8597412109375}, {"start": 2612.55, "end": 2612.73, "word": " ال", "probability": 0.92041015625}, {"start": 2612.73, "end": 2613.11, "word": " claim", "probability": 0.900390625}, {"start": 2613.11, "end": 2614.13, "word": " و", "probability": 0.65087890625}, {"start": 2614.13, "end": 2614.81, "word": " النظرية", "probability": 0.9534912109375}, {"start": 2614.81, "end": 2616.37, "word": " لأن", "probability": 0.453857421875}, {"start": 2616.37, "end": 2616.55, "word": " هيك", "probability": 0.4029541015625}, {"start": 2616.55, "end": 2616.83, "word": " بيكون", "probability": 0.75390625}, {"start": 2616.83, "end": 2617.39, "word": " برهننا", "probability": 0.82265625}, {"start": 2617.39, "end": 2617.49, "word": " ال", "probability": 0.962890625}, {"start": 2617.49, "end": 2617.81, "word": " claim", "probability": 0.9736328125}, {"start": 2617.81, "end": 2619.59, "word": " وبالتالي", "probability": 0.8828125}, {"start": 2619.59, "end": 2620.09, "word": " برهننا", "probability": 0.9583984375}, {"start": 2620.09, "end": 2620.55, "word": " النظرية", "probability": 0.9765625}, {"start": 2620.55, "end": 2620.83, "word": " لأن", "probability": 0.75439453125}, {"start": 2620.83, "end": 2621.15, "word": " هيك", "probability": 0.948486328125}, {"start": 2621.15, "end": 2621.29, "word": " هي", "probability": 0.322265625}, {"start": 2621.29, "end": 2621.85, "word": " اثبتت", "probability": 0.8736328125}, {"start": 2621.85, "end": 2622.01, "word": " ان", "probability": 0.53271484375}, {"start": 2622.01, "end": 2622.19, "word": " ال", "probability": 0.91357421875}, {"start": 2622.19, "end": 2622.59, "word": " image", "probability": 0.9375}, {"start": 2622.59, "end": 2623.69, "word": " ل", "probability": 0.5771484375}, {"start": 2623.69, "end": 2623.91, "word": " ال", "probability": 0.348876953125}, {"start": 2623.91, "end": 2624.25, "word": " closed", "probability": 0.60009765625}, {"start": 2624.25, "end": 2624.65, "word": " bounded", "probability": 0.94677734375}, {"start": 2624.65, "end": 2625.23, "word": " interval", "probability": 0.9892578125}, {"start": 2625.23, "end": 2625.51, "word": " I", "probability": 0.66455078125}, {"start": 2625.51, "end": 2625.95, "word": " طلعت", "probability": 0.9197591145833334}, {"start": 2625.95, "end": 2626.53, "word": " closed", "probability": 0.82177734375}, {"start": 2626.53, "end": 2627.05, "word": " bounded", "probability": 0.94775390625}, {"start": 2627.05, "end": 2627.57, "word": " interval", "probability": 0.98828125}, {"start": 2627.57, "end": 2628.25, "word": " صح", "probability": 0.697509765625}, {"start": 2628.25, "end": 2629.35, "word": " و", "probability": 0.273193359375}, {"start": 2629.35, "end": 2629.51, "word": " هو", "probability": 0.896484375}, {"start": 2629.51, "end": 2629.97, "word": " المطلوب", "probability": 0.86151123046875}], "temperature": 1.0}, {"id": 97, "seek": 266291, "start": 2633.87, "end": 2662.91, "text": "Okay واضح البرهان؟ في أي استفسار على البرهان؟ في هنا تحذير warning تحذير in the above theorem we had", "tokens": [8297, 4032, 46958, 5016, 2423, 26890, 3224, 7649, 22807, 8978, 36632, 44713, 36178, 9640, 15844, 2423, 26890, 3224, 7649, 22807, 8978, 34105, 6055, 5016, 8848, 13546, 9164, 6055, 5016, 8848, 13546, 294, 264, 3673, 20904, 321, 632], "avg_logprob": -0.15768915140315107, "compression_ratio": 1.2521008403361344, "no_speech_prob": 0.0, "words": [{"start": 2633.87, "end": 2634.29, "word": "Okay", "probability": 0.375732421875}, {"start": 2634.29, "end": 2634.73, "word": " واضح", "probability": 0.9578450520833334}, {"start": 2634.73, "end": 2636.17, "word": " البرهان؟", "probability": 0.777392578125}, {"start": 2636.17, "end": 2636.29, "word": " في", "probability": 0.75146484375}, {"start": 2636.29, "end": 2636.39, "word": " أي", "probability": 0.58544921875}, {"start": 2636.39, "end": 2636.99, "word": " استفسار", "probability": 0.9474283854166666}, {"start": 2636.99, "end": 2637.13, "word": " على", "probability": 0.486083984375}, {"start": 2637.13, "end": 2640.73, "word": " البرهان؟", "probability": 0.95107421875}, {"start": 2640.73, "end": 2642.01, "word": " في", "probability": 0.82177734375}, {"start": 2642.01, "end": 2642.25, "word": " هنا", "probability": 0.94482421875}, {"start": 2642.25, "end": 2642.99, "word": " تحذير", "probability": 0.947021484375}, {"start": 2642.99, "end": 2643.73, "word": " warning", "probability": 0.79931640625}, {"start": 2643.73, "end": 2648.03, "word": " تحذير", "probability": 0.960205078125}, {"start": 2648.03, "end": 2655.07, "word": " in", "probability": 0.8525390625}, {"start": 2655.07, "end": 2656.17, "word": " the", "probability": 0.93505859375}, {"start": 2656.17, "end": 2656.91, "word": " above", "probability": 0.966796875}, {"start": 2656.91, "end": 2659.31, "word": " theorem", "probability": 0.94140625}, {"start": 2659.31, "end": 2662.09, "word": " we", "probability": 0.8876953125}, {"start": 2662.09, "end": 2662.91, "word": " had", "probability": 0.9375}], "temperature": 1.0}, {"id": 98, "seek": 268810, "start": 2664.66, "end": 2688.1, "text": "F of I التي هي F للفترة المغلقة من A لB طلعت بالساوي الفترة المغلقة من small m لcapital M حيث small m is the absolute minimum value وcapital M is the absolute maximum value of the function F on the interval I", "tokens": [37, 295, 286, 38392, 39896, 479, 24976, 5172, 2655, 25720, 9673, 17082, 1211, 28671, 9154, 316, 5296, 33, 23032, 1211, 34268, 20666, 3794, 995, 45865, 27188, 2655, 25720, 9673, 17082, 1211, 28671, 9154, 1359, 275, 5296, 9485, 1686, 376, 11331, 1829, 12984, 1359, 275, 307, 264, 8236, 7285, 2158, 4032, 9485, 1686, 376, 307, 264, 8236, 6674, 2158, 295, 264, 2445, 479, 322, 264, 15035, 286], "avg_logprob": -0.19916044865081559, "compression_ratio": 1.535294117647059, "no_speech_prob": 0.0, "words": [{"start": 2664.66, "end": 2665.2, "word": "F", "probability": 0.170654296875}, {"start": 2665.2, "end": 2665.82, "word": " of", "probability": 0.386962890625}, {"start": 2665.82, "end": 2666.32, "word": " I", "probability": 0.916015625}, {"start": 2666.32, "end": 2668.52, "word": " التي", "probability": 0.36083984375}, {"start": 2668.52, "end": 2668.84, "word": " هي", "probability": 0.5048828125}, {"start": 2668.84, "end": 2669.22, "word": " F", "probability": 0.82373046875}, {"start": 2669.22, "end": 2670.0, "word": " للفترة", "probability": 0.8831787109375}, {"start": 2670.0, "end": 2670.62, "word": " المغلقة", "probability": 0.97412109375}, {"start": 2670.62, "end": 2670.9, "word": " من", "probability": 0.95703125}, {"start": 2670.9, "end": 2671.28, "word": " A", "probability": 0.6826171875}, {"start": 2671.28, "end": 2671.86, "word": " لB", "probability": 0.4876708984375}, {"start": 2671.86, "end": 2675.32, "word": " طلعت", "probability": 0.8041178385416666}, {"start": 2675.32, "end": 2675.9, "word": " بالساوي", "probability": 0.743896484375}, {"start": 2675.9, "end": 2676.4, "word": " الفترة", "probability": 0.95751953125}, {"start": 2676.4, "end": 2677.04, "word": " المغلقة", "probability": 0.9825439453125}, {"start": 2677.04, "end": 2677.3, "word": " من", "probability": 0.9677734375}, {"start": 2677.3, "end": 2677.8, "word": " small", "probability": 0.3251953125}, {"start": 2677.8, "end": 2678.1, "word": " m", "probability": 0.84375}, {"start": 2678.1, "end": 2678.78, "word": " لcapital", "probability": 0.8854166666666666}, {"start": 2678.78, "end": 2679.1, "word": " M", "probability": 0.98095703125}, {"start": 2679.1, "end": 2679.9, "word": " حيث", "probability": 0.9583333333333334}, {"start": 2679.9, "end": 2680.24, "word": " small", "probability": 0.8515625}, {"start": 2680.24, "end": 2680.62, "word": " m", "probability": 0.9287109375}, {"start": 2680.62, "end": 2680.86, "word": " is", "probability": 0.85693359375}, {"start": 2680.86, "end": 2681.0, "word": " the", "probability": 0.76611328125}, {"start": 2681.0, "end": 2681.42, "word": " absolute", "probability": 0.90673828125}, {"start": 2681.42, "end": 2681.8, "word": " minimum", "probability": 0.90625}, {"start": 2681.8, "end": 2682.4, "word": " value", "probability": 0.98974609375}, {"start": 2682.4, "end": 2683.76, "word": " وcapital", "probability": 0.8440755208333334}, {"start": 2683.76, "end": 2683.98, "word": " M", "probability": 0.982421875}, {"start": 2683.98, "end": 2684.22, "word": " is", "probability": 0.94580078125}, {"start": 2684.22, "end": 2684.36, "word": " the", "probability": 0.8505859375}, {"start": 2684.36, "end": 2684.72, "word": " absolute", "probability": 0.89501953125}, {"start": 2684.72, "end": 2685.16, "word": " maximum", "probability": 0.93505859375}, {"start": 2685.16, "end": 2685.68, "word": " value", "probability": 0.97705078125}, {"start": 2685.68, "end": 2685.94, "word": " of", "probability": 0.95703125}, {"start": 2685.94, "end": 2686.1, "word": " the", "probability": 0.85595703125}, {"start": 2686.1, "end": 2686.5, "word": " function", "probability": 0.9736328125}, {"start": 2686.5, "end": 2686.86, "word": " F", "probability": 0.849609375}, {"start": 2686.86, "end": 2687.14, "word": " on", "probability": 0.8916015625}, {"start": 2687.14, "end": 2687.3, "word": " the", "probability": 0.89208984375}, {"start": 2687.3, "end": 2687.72, "word": " interval", "probability": 0.974609375}, {"start": 2687.72, "end": 2688.1, "word": " I", "probability": 0.9765625}], "temperature": 1.0}, {"id": 99, "seek": 270050, "start": 2689.96, "end": 2700.5, "text": "و هذا ليس بالضرورة مش شرط هذه الفترة تكون الفترة من F of A ل F of B", "tokens": [2407, 23758, 32239, 3794, 20666, 11242, 2288, 13063, 3660, 37893, 13412, 2288, 9566, 29538, 27188, 2655, 25720, 6055, 30544, 27188, 2655, 25720, 9154, 479, 295, 316, 5296, 479, 295, 363], "avg_logprob": -0.169606848109153, "compression_ratio": 1.2528735632183907, "no_speech_prob": 0.0, "words": [{"start": 2689.96, "end": 2690.2, "word": "و", "probability": 0.7998046875}, {"start": 2690.2, "end": 2690.6, "word": " هذا", "probability": 0.49560546875}, {"start": 2690.6, "end": 2691.9, "word": " ليس", "probability": 0.90283203125}, {"start": 2691.9, "end": 2693.34, "word": " بالضرورة", "probability": 0.9306640625}, {"start": 2693.34, "end": 2693.78, "word": " مش", "probability": 0.56005859375}, {"start": 2693.78, "end": 2694.14, "word": " شرط", "probability": 0.9786783854166666}, {"start": 2694.14, "end": 2694.4, "word": " هذه", "probability": 0.861328125}, {"start": 2694.4, "end": 2694.98, "word": " الفترة", "probability": 0.9903971354166666}, {"start": 2694.98, "end": 2695.44, "word": " تكون", "probability": 0.909423828125}, {"start": 2695.44, "end": 2697.68, "word": " الفترة", "probability": 0.8115234375}, {"start": 2697.68, "end": 2697.94, "word": " من", "probability": 0.93701171875}, {"start": 2697.94, "end": 2698.4, "word": " F", "probability": 0.5791015625}, {"start": 2698.4, "end": 2698.66, "word": " of", "probability": 0.75537109375}, {"start": 2698.66, "end": 2699.06, "word": " A", "probability": 0.94091796875}, {"start": 2699.06, "end": 2699.38, "word": " ل", "probability": 0.79443359375}, {"start": 2699.38, "end": 2699.8, "word": " F", "probability": 0.5029296875}, {"start": 2699.8, "end": 2700.1, "word": " of", "probability": 0.97412109375}, {"start": 2700.1, "end": 2700.5, "word": " B", "probability": 0.953125}], "temperature": 1.0}, {"id": 100, "seek": 272727, "start": 2701.91, "end": 2727.27, "text": "هذه الفترة ماحدش جال او مقدر يزم انها الفترة المغلقة من F of A لF of B هذا مش صحيح okay النظرية ما بتقولي الكلام هذا بتقولي الكلام هذا فقط هذا غلط مش شرط ال image للفترة I بالساوي الفترة المغلقة من F of A لF of B فاخدوا بالكم من ايه من التحذير هذا", "tokens": [3224, 24192, 27188, 2655, 25720, 19446, 24401, 8592, 10874, 6027, 1975, 2407, 3714, 28543, 2288, 7251, 11622, 2304, 16472, 11296, 27188, 2655, 25720, 9673, 17082, 1211, 28671, 9154, 479, 295, 316, 5296, 37, 295, 363, 23758, 37893, 20328, 5016, 1829, 5016, 1392, 28239, 19913, 2288, 10632, 19446, 39894, 39648, 1829, 2423, 28820, 10943, 23758, 39894, 39648, 1829, 2423, 28820, 10943, 23758, 6156, 47432, 23758, 32771, 1211, 9566, 37893, 13412, 2288, 9566, 2423, 3256, 24976, 5172, 2655, 25720, 286, 20666, 3794, 995, 45865, 27188, 2655, 25720, 9673, 17082, 1211, 28671, 9154, 479, 295, 316, 5296, 37, 295, 363, 6156, 47283, 3215, 14407, 20666, 24793, 9154, 1975, 1829, 3224, 9154, 16712, 5016, 8848, 13546, 23758], "avg_logprob": -0.16858552095659993, "compression_ratio": 1.9903846153846154, "no_speech_prob": 0.0, "words": [{"start": 2701.91, "end": 2702.29, "word": "هذه", "probability": 0.779541015625}, {"start": 2702.29, "end": 2702.71, "word": " الفترة", "probability": 0.9830729166666666}, {"start": 2702.71, "end": 2703.35, "word": " ماحدش", "probability": 0.6298014322916666}, {"start": 2703.35, "end": 2703.75, "word": " جال", "probability": 0.783447265625}, {"start": 2703.75, "end": 2704.13, "word": " او", "probability": 0.668701171875}, {"start": 2704.13, "end": 2704.65, "word": " مقدر", "probability": 0.75537109375}, {"start": 2704.65, "end": 2705.13, "word": " يزم", "probability": 0.7926432291666666}, {"start": 2705.13, "end": 2705.65, "word": " انها", "probability": 0.881103515625}, {"start": 2705.65, "end": 2706.71, "word": " الفترة", "probability": 0.9713541666666666}, {"start": 2706.71, "end": 2707.19, "word": " المغلقة", "probability": 0.9559326171875}, {"start": 2707.19, "end": 2707.45, "word": " من", "probability": 0.97900390625}, {"start": 2707.45, "end": 2707.65, "word": " F", "probability": 0.51708984375}, {"start": 2707.65, "end": 2707.81, "word": " of", "probability": 0.56982421875}, {"start": 2707.81, "end": 2707.93, "word": " A", "probability": 0.9326171875}, {"start": 2707.93, "end": 2708.19, "word": " لF", "probability": 0.638427734375}, {"start": 2708.19, "end": 2708.29, "word": " of", "probability": 0.951171875}, {"start": 2708.29, "end": 2708.37, "word": " B", "probability": 0.96240234375}, {"start": 2708.37, "end": 2708.59, "word": " هذا", "probability": 0.3984375}, {"start": 2708.59, "end": 2708.81, "word": " مش", "probability": 0.75537109375}, {"start": 2708.81, "end": 2709.95, "word": " صحيح", "probability": 0.986572265625}, {"start": 2709.95, "end": 2710.39, "word": " okay", "probability": 0.2310791015625}, {"start": 2710.39, "end": 2712.07, "word": " النظرية", "probability": 0.8626708984375}, {"start": 2712.07, "end": 2712.35, "word": " ما", "probability": 0.83203125}, {"start": 2712.35, "end": 2713.29, "word": " بتقولي", "probability": 0.6475423177083334}, {"start": 2713.29, "end": 2713.59, "word": " الكلام", "probability": 0.9171549479166666}, {"start": 2713.59, "end": 2713.75, "word": " هذا", "probability": 0.95068359375}, {"start": 2713.75, "end": 2714.19, "word": " بتقولي", "probability": 0.8167317708333334}, {"start": 2714.19, "end": 2714.43, "word": " الكلام", "probability": 0.9217122395833334}, {"start": 2714.43, "end": 2714.67, "word": " هذا", "probability": 0.93212890625}, {"start": 2714.67, "end": 2715.09, "word": " فقط", "probability": 0.976806640625}, {"start": 2715.09, "end": 2715.35, "word": " هذا", "probability": 0.74609375}, {"start": 2715.35, "end": 2715.87, "word": " غلط", "probability": 0.99169921875}, {"start": 2715.87, "end": 2716.91, "word": " مش", "probability": 0.96533203125}, {"start": 2716.91, "end": 2717.35, "word": " شرط", "probability": 0.9861653645833334}, {"start": 2717.35, "end": 2718.17, "word": " ال", "probability": 0.96533203125}, {"start": 2718.17, "end": 2718.49, "word": " image", "probability": 0.89111328125}, {"start": 2718.49, "end": 2719.11, "word": " للفترة", "probability": 0.9442138671875}, {"start": 2719.11, "end": 2719.49, "word": " I", "probability": 0.9609375}, {"start": 2719.49, "end": 2720.25, "word": " بالساوي", "probability": 0.71533203125}, {"start": 2720.25, "end": 2720.67, "word": " الفترة", "probability": 0.9801432291666666}, {"start": 2720.67, "end": 2721.19, "word": " المغلقة", "probability": 0.9869384765625}, {"start": 2721.19, "end": 2721.51, "word": " من", "probability": 0.9912109375}, {"start": 2721.51, "end": 2721.77, "word": " F", "probability": 0.96875}, {"start": 2721.77, "end": 2721.95, "word": " of", "probability": 0.9619140625}, {"start": 2721.95, "end": 2722.09, "word": " A", "probability": 0.9931640625}, {"start": 2722.09, "end": 2722.39, "word": " لF", "probability": 0.961669921875}, {"start": 2722.39, "end": 2722.57, "word": " of", "probability": 0.96484375}, {"start": 2722.57, "end": 2723.05, "word": " B", "probability": 0.98046875}, {"start": 2723.05, "end": 2724.73, "word": " فاخدوا", "probability": 0.92724609375}, {"start": 2724.73, "end": 2725.13, "word": " بالكم", "probability": 0.87255859375}, {"start": 2725.13, "end": 2725.35, "word": " من", "probability": 0.982421875}, {"start": 2725.35, "end": 2725.69, "word": " ايه", "probability": 0.9117838541666666}, {"start": 2725.69, "end": 2726.21, "word": " من", "probability": 0.64990234375}, {"start": 2726.21, "end": 2727.03, "word": " التحذير", "probability": 0.920654296875}, {"start": 2727.03, "end": 2727.27, "word": " هذا", "probability": 0.9384765625}], "temperature": 1.0}, {"id": 101, "seek": 275394, "start": 2729.6, "end": 2753.94, "text": "Okay إذا هين أثبتنا إن لو كانت ال function تبعتي متصلة على فترة مغلقة أو محدودة فصورتها بتطلع مغلقة أو محدودة وبالتالي ال function preserves ال .. ال .. ال intervals طيب ال .. النظرية دي إلها تعميم", "tokens": [8297, 11933, 15730, 8032, 9957, 5551, 12984, 3555, 2655, 8315, 36145, 45164, 25961, 2655, 2423, 2445, 6055, 3555, 3615, 31371, 44650, 36520, 3660, 15844, 6156, 2655, 25720, 3714, 17082, 1211, 28671, 34051, 3714, 24401, 23328, 3660, 6156, 9381, 13063, 2655, 11296, 39894, 9566, 1211, 3615, 3714, 17082, 1211, 28671, 34051, 3714, 24401, 23328, 3660, 46599, 6027, 2655, 6027, 1829, 2423, 2445, 1183, 9054, 2423, 4386, 2423, 4386, 2423, 26651, 23032, 1829, 3555, 2423, 4386, 28239, 19913, 2288, 10632, 11778, 1829, 11933, 1211, 11296, 37279, 2304, 32640], "avg_logprob": -0.15984194922721248, "compression_ratio": 1.6302083333333333, "no_speech_prob": 0.0, "words": [{"start": 2729.6, "end": 2730.16, "word": "Okay", "probability": 0.25}, {"start": 2730.16, "end": 2730.4, "word": " إذا", "probability": 0.57421875}, {"start": 2730.4, "end": 2730.64, "word": " هين", "probability": 0.5792236328125}, {"start": 2730.64, "end": 2731.16, "word": " أثبتنا", "probability": 0.936328125}, {"start": 2731.16, "end": 2731.34, "word": " إن", "probability": 0.47802734375}, {"start": 2731.34, "end": 2731.5, "word": " لو", "probability": 0.943359375}, {"start": 2731.5, "end": 2731.82, "word": " كانت", "probability": 0.90234375}, {"start": 2731.82, "end": 2731.9, "word": " ال", "probability": 0.9697265625}, {"start": 2731.9, "end": 2732.2, "word": " function", "probability": 0.7314453125}, {"start": 2732.2, "end": 2732.88, "word": " تبعتي", "probability": 0.8699951171875}, {"start": 2732.88, "end": 2734.18, "word": " متصلة", "probability": 0.8011067708333334}, {"start": 2734.18, "end": 2734.28, "word": " على", "probability": 0.92333984375}, {"start": 2734.28, "end": 2734.72, "word": " فترة", "probability": 0.9899088541666666}, {"start": 2734.72, "end": 2735.3, "word": " مغلقة", "probability": 0.9677734375}, {"start": 2735.3, "end": 2735.5, "word": " أو", "probability": 0.81005859375}, {"start": 2735.5, "end": 2736.18, "word": " محدودة", "probability": 0.9749755859375}, {"start": 2736.18, "end": 2737.06, "word": " فصورتها", "probability": 0.96689453125}, {"start": 2737.06, "end": 2737.64, "word": " بتطلع", "probability": 0.84130859375}, {"start": 2737.64, "end": 2738.78, "word": " مغلقة", "probability": 0.96044921875}, {"start": 2738.78, "end": 2738.96, "word": " أو", "probability": 0.69580078125}, {"start": 2738.96, "end": 2739.42, "word": " محدودة", "probability": 0.9906005859375}, {"start": 2739.42, "end": 2739.86, "word": " وبالتالي", "probability": 0.97158203125}, {"start": 2739.86, "end": 2740.04, "word": " ال", "probability": 0.96630859375}, {"start": 2740.04, "end": 2740.36, "word": " function", "probability": 0.92431640625}, {"start": 2740.36, "end": 2741.2, "word": " preserves", "probability": 0.82177734375}, {"start": 2741.2, "end": 2742.28, "word": " ال", "probability": 0.96142578125}, {"start": 2742.28, "end": 2742.3, "word": " ..", "probability": 0.3671875}, {"start": 2742.3, "end": 2743.58, "word": " ال", "probability": 0.96875}, {"start": 2743.58, "end": 2744.12, "word": " ..", "probability": 0.87548828125}, {"start": 2744.12, "end": 2745.28, "word": " ال", "probability": 0.97216796875}, {"start": 2745.28, "end": 2745.78, "word": " intervals", "probability": 0.92578125}, {"start": 2745.78, "end": 2750.64, "word": " طيب", "probability": 0.9544270833333334}, {"start": 2750.64, "end": 2751.08, "word": " ال", "probability": 0.7197265625}, {"start": 2751.08, "end": 2751.64, "word": " ..", "probability": 0.943359375}, {"start": 2751.64, "end": 2752.8, "word": " النظرية", "probability": 0.94677734375}, {"start": 2752.8, "end": 2753.1, "word": " دي", "probability": 0.7108154296875}, {"start": 2753.1, "end": 2753.3, "word": " إلها", "probability": 0.67578125}, {"start": 2753.3, "end": 2753.94, "word": " تعميم", "probability": 0.9443359375}], "temperature": 1.0}, {"id": 102, "seek": 278853, "start": 2763.89, "end": 2788.53, "text": "preservation of intervals theorem لو كانت الفترة let I be any interval مش شرط تكون .. مش شرط تكون close about it .. be any interval and let", "tokens": [14508, 6864, 295, 26651, 20904, 45164, 25961, 2655, 27188, 2655, 25720, 718, 286, 312, 604, 15035, 37893, 13412, 2288, 9566, 6055, 30544, 4386, 37893, 13412, 2288, 9566, 6055, 30544, 1998, 466, 309, 4386, 312, 604, 15035, 293, 718], "avg_logprob": -0.25600962608288497, "compression_ratio": 1.3412698412698412, "no_speech_prob": 0.0, "words": [{"start": 2763.89, "end": 2764.81, "word": "preservation", "probability": 0.7666015625}, {"start": 2764.81, "end": 2765.73, "word": " of", "probability": 0.94189453125}, {"start": 2765.73, "end": 2770.73, "word": " intervals", "probability": 0.88330078125}, {"start": 2770.73, "end": 2771.73, "word": " theorem", "probability": 0.1728515625}, {"start": 2771.73, "end": 2774.77, "word": " لو", "probability": 0.72119140625}, {"start": 2774.77, "end": 2775.31, "word": " كانت", "probability": 0.958984375}, {"start": 2775.31, "end": 2775.89, "word": " الفترة", "probability": 0.9918619791666666}, {"start": 2775.89, "end": 2776.41, "word": " let", "probability": 0.8466796875}, {"start": 2776.41, "end": 2778.35, "word": " I", "probability": 0.6123046875}, {"start": 2778.35, "end": 2778.77, "word": " be", "probability": 0.64892578125}, {"start": 2778.77, "end": 2779.27, "word": " any", "probability": 0.90185546875}, {"start": 2779.27, "end": 2779.85, "word": " interval", "probability": 0.9814453125}, {"start": 2779.85, "end": 2780.13, "word": " مش", "probability": 0.82177734375}, {"start": 2780.13, "end": 2780.47, "word": " شرط", "probability": 0.8310546875}, {"start": 2780.47, "end": 2780.93, "word": " تكون", "probability": 0.982177734375}, {"start": 2780.93, "end": 2781.05, "word": " ..", "probability": 0.28759765625}, {"start": 2781.05, "end": 2781.47, "word": " مش", "probability": 0.8359375}, {"start": 2781.47, "end": 2781.71, "word": " شرط", "probability": 0.9943033854166666}, {"start": 2781.71, "end": 2782.05, "word": " تكون", "probability": 0.992919921875}, {"start": 2782.05, "end": 2782.45, "word": " close", "probability": 0.27197265625}, {"start": 2782.45, "end": 2782.77, "word": " about", "probability": 0.9375}, {"start": 2782.77, "end": 2783.01, "word": " it", "probability": 0.95263671875}, {"start": 2783.01, "end": 2783.03, "word": " ..", "probability": 0.312744140625}, {"start": 2783.03, "end": 2783.13, "word": " be", "probability": 0.6728515625}, {"start": 2783.13, "end": 2783.57, "word": " any", "probability": 0.92626953125}, {"start": 2783.57, "end": 2785.13, "word": " interval", "probability": 0.97607421875}, {"start": 2785.13, "end": 2788.07, "word": " and", "probability": 0.89599609375}, {"start": 2788.07, "end": 2788.53, "word": " let", "probability": 0.96923828125}], "temperature": 1.0}, {"id": 103, "seek": 280926, "start": 2789.86, "end": 2809.26, "text": "إذا من I إلى R يكون مستمر على الفترة I ثم ستة F من I هي عرفة", "tokens": [28814, 15730, 9154, 286, 30731, 497, 7251, 30544, 3714, 14851, 29973, 15844, 27188, 2655, 25720, 286, 38637, 2304, 8608, 2655, 3660, 479, 9154, 286, 39896, 6225, 2288, 5172, 3660], "avg_logprob": -0.6333333273728688, "compression_ratio": 1.1511627906976745, "no_speech_prob": 0.0, "words": [{"start": 2789.86, "end": 2790.5, "word": "إذا", "probability": 0.5223388671875}, {"start": 2790.5, "end": 2791.0, "word": " من", "probability": 0.62548828125}, {"start": 2791.0, "end": 2791.78, "word": " I", "probability": 0.74609375}, {"start": 2791.78, "end": 2792.14, "word": " إلى", "probability": 0.4482421875}, {"start": 2792.14, "end": 2792.7, "word": " R", "probability": 0.92138671875}, {"start": 2792.7, "end": 2795.38, "word": " يكون", "probability": 0.5416259765625}, {"start": 2795.38, "end": 2795.94, "word": " مستمر", "probability": 0.7242024739583334}, {"start": 2795.94, "end": 2798.5, "word": " على", "probability": 0.5927734375}, {"start": 2798.5, "end": 2799.46, "word": " الفترة", "probability": 0.9020182291666666}, {"start": 2799.46, "end": 2800.02, "word": " I", "probability": 0.970703125}, {"start": 2800.02, "end": 2803.2, "word": " ثم", "probability": 0.655029296875}, {"start": 2803.2, "end": 2806.04, "word": " ستة", "probability": 0.4103190104166667}, {"start": 2806.04, "end": 2806.28, "word": " F", "probability": 0.469970703125}, {"start": 2806.28, "end": 2806.6, "word": " من", "probability": 0.62939453125}, {"start": 2806.6, "end": 2807.14, "word": " I", "probability": 0.98876953125}, {"start": 2807.14, "end": 2807.88, "word": " هي", "probability": 0.5048828125}, {"start": 2807.88, "end": 2809.26, "word": " عرفة", "probability": 0.338623046875}], "temperature": 1.0}, {"id": 104, "seek": 284208, "start": 2813.62, "end": 2842.08, "text": "النظرية هذه بتقول لو كانت f دالة متصلة المجال تبعها أي فترة مغلقة، محدودة، مش محدودة، half-open، open-half-open interval اللي لقاش، أي لوحة من ال intervals اللي شفناهم في جبتر واحد فصورتها أيضا لازم تطلع interval وبالتالي ال continuous function بتحافظ على الفترة، على الفترات يعني بتاكن فترة في مجالها بتعطيل صورتها فترة", "tokens": [6027, 1863, 19913, 2288, 10632, 29538, 39894, 39648, 45164, 25961, 2655, 283, 11778, 6027, 3660, 44650, 36520, 3660, 9673, 7435, 6027, 6055, 3555, 3615, 11296, 36632, 6156, 2655, 25720, 3714, 17082, 1211, 28671, 12399, 3714, 24401, 23328, 3660, 12399, 37893, 3714, 24401, 23328, 3660, 12399, 1922, 12, 15752, 12399, 1269, 12, 25461, 12, 15752, 15035, 13672, 1829, 5296, 4587, 33599, 12399, 36632, 45164, 5016, 3660, 9154, 2423, 26651, 13672, 1829, 13412, 5172, 8315, 16095, 8978, 10874, 3555, 2655, 2288, 36764, 24401, 6156, 9381, 13063, 2655, 11296, 36632, 11242, 995, 5296, 31377, 2304, 6055, 9566, 1211, 3615, 15035, 46599, 6027, 2655, 6027, 1829, 2423, 10957, 2445, 39894, 5016, 31845, 19913, 15844, 27188, 2655, 25720, 12399, 15844, 27188, 2655, 2288, 9307, 37495, 22653, 39894, 995, 19452, 6156, 2655, 25720, 8978, 3714, 7435, 6027, 11296, 39894, 3615, 9566, 26895, 20328, 13063, 2655, 11296, 6156, 2655, 25720], "avg_logprob": -0.22721353669961294, "compression_ratio": 1.8409893992932862, "no_speech_prob": 0.0, "words": [{"start": 2813.62, "end": 2814.28, "word": "النظرية", "probability": 0.8076416015625}, {"start": 2814.28, "end": 2814.44, "word": " هذه", "probability": 0.28125}, {"start": 2814.44, "end": 2814.82, "word": " بتقول", "probability": 0.8330078125}, {"start": 2814.82, "end": 2815.06, "word": " لو", "probability": 0.638671875}, {"start": 2815.06, "end": 2815.52, "word": " كانت", "probability": 0.91357421875}, {"start": 2815.52, "end": 2815.68, "word": " f", "probability": 0.3955078125}, {"start": 2815.68, "end": 2816.0, "word": " دالة", "probability": 0.4630126953125}, {"start": 2816.0, "end": 2816.7, "word": " متصلة", "probability": 0.8863932291666666}, {"start": 2816.7, "end": 2817.22, "word": " المجال", "probability": 0.86572265625}, {"start": 2817.22, "end": 2817.82, "word": " تبعها", "probability": 0.8973388671875}, {"start": 2817.82, "end": 2818.62, "word": " أي", "probability": 0.484130859375}, {"start": 2818.62, "end": 2819.12, "word": " فترة", "probability": 0.99072265625}, {"start": 2819.12, "end": 2819.88, "word": " مغلقة،", "probability": 0.8279296875}, {"start": 2819.88, "end": 2820.68, "word": " محدودة،", "probability": 0.953515625}, {"start": 2820.68, "end": 2820.8, "word": " مش", "probability": 0.9208984375}, {"start": 2820.8, "end": 2822.44, "word": " محدودة،", "probability": 0.88818359375}, {"start": 2822.44, "end": 2822.78, "word": " half", "probability": 0.890625}, {"start": 2822.78, "end": 2823.96, "word": "-open،", "probability": 0.5198567708333334}, {"start": 2823.96, "end": 2824.36, "word": " open", "probability": 0.5517578125}, {"start": 2824.36, "end": 2824.74, "word": "-half", "probability": 0.6431884765625}, {"start": 2824.74, "end": 2825.06, "word": "-open", "probability": 0.951171875}, {"start": 2825.06, "end": 2825.5, "word": " interval", "probability": 0.402587890625}, {"start": 2825.5, "end": 2825.68, "word": " اللي", "probability": 0.5751953125}, {"start": 2825.68, "end": 2825.98, "word": " لقاش،", "probability": 0.53570556640625}, {"start": 2825.98, "end": 2826.16, "word": " أي", "probability": 0.74462890625}, {"start": 2826.16, "end": 2826.4, "word": " لوحة", "probability": 0.5641276041666666}, {"start": 2826.4, "end": 2826.52, "word": " من", "probability": 0.99462890625}, {"start": 2826.52, "end": 2826.58, "word": " ال", "probability": 0.91552734375}, {"start": 2826.58, "end": 2826.98, "word": " intervals", "probability": 0.6796875}, {"start": 2826.98, "end": 2827.74, "word": " اللي", "probability": 0.946533203125}, {"start": 2827.74, "end": 2828.32, "word": " شفناهم", "probability": 0.919189453125}, {"start": 2828.32, "end": 2828.5, "word": " في", "probability": 0.9169921875}, {"start": 2828.5, "end": 2828.9, "word": " جبتر", "probability": 0.76446533203125}, {"start": 2828.9, "end": 2829.28, "word": " واحد", "probability": 0.946044921875}, {"start": 2829.28, "end": 2831.42, "word": " فصورتها", "probability": 0.9513671875}, {"start": 2831.42, "end": 2831.82, "word": " أيضا", "probability": 0.8523763020833334}, {"start": 2831.82, "end": 2832.12, "word": " لازم", "probability": 0.9747721354166666}, {"start": 2832.12, "end": 2832.48, "word": " تطلع", "probability": 0.992431640625}, {"start": 2832.48, "end": 2832.92, "word": " interval", "probability": 0.943359375}, {"start": 2832.92, "end": 2834.34, "word": " وبالتالي", "probability": 0.8958984375}, {"start": 2834.34, "end": 2834.54, "word": " ال", "probability": 0.97265625}, {"start": 2834.54, "end": 2834.92, "word": " continuous", "probability": 0.94140625}, {"start": 2834.92, "end": 2835.5, "word": " function", "probability": 0.9599609375}, {"start": 2835.5, "end": 2836.36, "word": " بتحافظ", "probability": 0.9874267578125}, {"start": 2836.36, "end": 2836.6, "word": " على", "probability": 0.91162109375}, {"start": 2836.6, "end": 2837.12, "word": " الفترة،", "probability": 0.91796875}, {"start": 2837.12, "end": 2837.24, "word": " على", "probability": 0.75537109375}, {"start": 2837.24, "end": 2837.76, "word": " الفترات", "probability": 0.9761962890625}, {"start": 2837.76, "end": 2837.94, "word": " يعني", "probability": 0.827880859375}, {"start": 2837.94, "end": 2838.44, "word": " بتاكن", "probability": 0.6412760416666666}, {"start": 2838.44, "end": 2839.4, "word": " فترة", "probability": 0.97998046875}, {"start": 2839.4, "end": 2839.88, "word": " في", "probability": 0.962890625}, {"start": 2839.88, "end": 2840.46, "word": " مجالها", "probability": 0.9957275390625}, {"start": 2840.46, "end": 2841.22, "word": " بتعطيل", "probability": 0.75860595703125}, {"start": 2841.22, "end": 2841.66, "word": " صورتها", "probability": 0.95947265625}, {"start": 2841.66, "end": 2842.08, "word": " فترة", "probability": 0.9920247395833334}], "temperature": 1.0}, {"id": 105, "seek": 286826, "start": 2843.06, "end": 2868.26, "text": "الفترة هذه ما بنعرفش كيف نوعها لكن اللي بنقدر نزّمه في النظرية السابقة أنه لو كانت الفترة I هذه closed bounded فصورتها هتطلع closed bounded أما لو كانت من نوع أخر فصورتها مش شرط تكون من نفس النوع ماحدش جال الكلام هذا فلبرهان ذلك لبرهان ذلك", "tokens": [6027, 5172, 2655, 25720, 29538, 19446, 44945, 3615, 28480, 8592, 9122, 33911, 8717, 45367, 11296, 44381, 13672, 1829, 44945, 28543, 2288, 8717, 11622, 11703, 2304, 3224, 8978, 28239, 19913, 2288, 10632, 21136, 16758, 28671, 14739, 3224, 45164, 25961, 2655, 27188, 2655, 25720, 286, 29538, 5395, 37498, 6156, 9381, 13063, 2655, 11296, 8032, 2655, 9566, 1211, 3615, 5395, 37498, 5551, 15042, 45164, 25961, 2655, 9154, 8717, 45367, 5551, 34740, 6156, 9381, 13063, 2655, 11296, 37893, 13412, 2288, 9566, 6055, 30544, 9154, 8717, 36178, 28239, 45367, 19446, 24401, 8592, 10874, 6027, 2423, 28820, 10943, 23758, 6156, 46152, 2288, 3224, 7649, 29910, 23275, 5296, 26890, 3224, 7649, 29910, 23275], "avg_logprob": -0.11930490682058245, "compression_ratio": 1.8125, "no_speech_prob": 0.0, "words": [{"start": 2843.06, "end": 2843.6, "word": "الفترة", "probability": 0.9591064453125}, {"start": 2843.6, "end": 2843.92, "word": " هذه", "probability": 0.79345703125}, {"start": 2843.92, "end": 2844.08, "word": " ما", "probability": 0.68359375}, {"start": 2844.08, "end": 2844.54, "word": " بنعرفش", "probability": 0.90771484375}, {"start": 2844.54, "end": 2844.78, "word": " كيف", "probability": 0.962890625}, {"start": 2844.78, "end": 2845.14, "word": " نوعها", "probability": 0.9558919270833334}, {"start": 2845.14, "end": 2845.6, "word": " لكن", "probability": 0.59423828125}, {"start": 2845.6, "end": 2847.14, "word": " اللي", "probability": 0.830078125}, {"start": 2847.14, "end": 2847.54, "word": " بنقدر", "probability": 0.93359375}, {"start": 2847.54, "end": 2848.08, "word": " نزّمه", "probability": 0.82548828125}, {"start": 2848.08, "end": 2848.22, "word": " في", "probability": 0.87841796875}, {"start": 2848.22, "end": 2848.68, "word": " النظرية", "probability": 0.9537353515625}, {"start": 2848.68, "end": 2849.28, "word": " السابقة", "probability": 0.9835611979166666}, {"start": 2849.28, "end": 2849.62, "word": " أنه", "probability": 0.451171875}, {"start": 2849.62, "end": 2849.76, "word": " لو", "probability": 0.95947265625}, {"start": 2849.76, "end": 2850.08, "word": " كانت", "probability": 0.991943359375}, {"start": 2850.08, "end": 2850.52, "word": " الفترة", "probability": 0.9908854166666666}, {"start": 2850.52, "end": 2850.7, "word": " I", "probability": 0.583984375}, {"start": 2850.7, "end": 2850.92, "word": " هذه", "probability": 0.361572265625}, {"start": 2850.92, "end": 2851.24, "word": " closed", "probability": 0.3828125}, {"start": 2851.24, "end": 2851.7, "word": " bounded", "probability": 0.890625}, {"start": 2851.7, "end": 2852.92, "word": " فصورتها", "probability": 0.98759765625}, {"start": 2852.92, "end": 2853.3, "word": " هتطلع", "probability": 0.97529296875}, {"start": 2853.3, "end": 2853.72, "word": " closed", "probability": 0.7529296875}, {"start": 2853.72, "end": 2854.06, "word": " bounded", "probability": 0.916015625}, {"start": 2854.06, "end": 2854.38, "word": " أما", "probability": 0.841552734375}, {"start": 2854.38, "end": 2854.56, "word": " لو", "probability": 0.98388671875}, {"start": 2854.56, "end": 2854.88, "word": " كانت", "probability": 0.98779296875}, {"start": 2854.88, "end": 2855.04, "word": " من", "probability": 0.99072265625}, {"start": 2855.04, "end": 2855.26, "word": " نوع", "probability": 0.94775390625}, {"start": 2855.26, "end": 2855.7, "word": " أخر", "probability": 0.796875}, {"start": 2855.7, "end": 2856.72, "word": " فصورتها", "probability": 0.99599609375}, {"start": 2856.72, "end": 2856.96, "word": " مش", "probability": 0.98974609375}, {"start": 2856.96, "end": 2857.28, "word": " شرط", "probability": 0.9915364583333334}, {"start": 2857.28, "end": 2857.62, "word": " تكون", "probability": 0.99267578125}, {"start": 2857.62, "end": 2857.78, "word": " من", "probability": 0.982421875}, {"start": 2857.78, "end": 2858.0, "word": " نفس", "probability": 0.99853515625}, {"start": 2858.0, "end": 2858.4, "word": " النوع", "probability": 0.9453125}, {"start": 2858.4, "end": 2859.58, "word": " ماحدش", "probability": 0.9235026041666666}, {"start": 2859.58, "end": 2859.8, "word": " جال", "probability": 0.836181640625}, {"start": 2859.8, "end": 2860.12, "word": " الكلام", "probability": 0.8663736979166666}, {"start": 2860.12, "end": 2860.4, "word": " هذا", "probability": 0.8642578125}, {"start": 2860.4, "end": 2862.2, "word": " فلبرهان", "probability": 0.873046875}, {"start": 2862.2, "end": 2862.74, "word": " ذلك", "probability": 0.99609375}, {"start": 2862.74, "end": 2867.78, "word": " لبرهان", "probability": 0.8978271484375}, {"start": 2867.78, "end": 2868.26, "word": " ذلك", "probability": 0.994873046875}], "temperature": 1.0}, {"id": 106, "seek": 289564, "start": 2873.44, "end": 2895.64, "text": "خلّينا ناخد let alpha و beta belong to except f of I with alpha أصغر من beta خلّينا نستذكر بس", "tokens": [9778, 1211, 11703, 9957, 995, 8717, 47283, 3215, 718, 8961, 4032, 9861, 5784, 281, 3993, 283, 295, 286, 365, 8961, 5551, 9381, 17082, 2288, 9154, 9861, 16490, 1211, 11703, 9957, 995, 8717, 14851, 8848, 37983, 4724, 3794], "avg_logprob": -0.13754112077386757, "compression_ratio": 1.1272727272727272, "no_speech_prob": 0.0, "words": [{"start": 2873.44, "end": 2874.1, "word": "خلّينا", "probability": 0.83212890625}, {"start": 2874.1, "end": 2874.7, "word": " ناخد", "probability": 0.9547526041666666}, {"start": 2874.7, "end": 2875.08, "word": " let", "probability": 0.76220703125}, {"start": 2875.08, "end": 2875.84, "word": " alpha", "probability": 0.5810546875}, {"start": 2875.84, "end": 2877.12, "word": " و", "probability": 0.78466796875}, {"start": 2877.12, "end": 2877.56, "word": " beta", "probability": 0.89306640625}, {"start": 2877.56, "end": 2878.22, "word": " belong", "probability": 0.81494140625}, {"start": 2878.22, "end": 2878.74, "word": " to", "probability": 0.9873046875}, {"start": 2878.74, "end": 2880.26, "word": " except", "probability": 0.76416015625}, {"start": 2880.26, "end": 2880.76, "word": " f", "probability": 0.64990234375}, {"start": 2880.76, "end": 2881.04, "word": " of", "probability": 0.59130859375}, {"start": 2881.04, "end": 2881.52, "word": " I", "probability": 0.56201171875}, {"start": 2881.52, "end": 2883.76, "word": " with", "probability": 0.884765625}, {"start": 2883.76, "end": 2886.7, "word": " alpha", "probability": 0.818359375}, {"start": 2886.7, "end": 2887.4, "word": " أصغر", "probability": 0.9735107421875}, {"start": 2887.4, "end": 2887.62, "word": " من", "probability": 0.99169921875}, {"start": 2887.62, "end": 2888.04, "word": " beta", "probability": 0.70263671875}, {"start": 2888.04, "end": 2894.58, "word": " خلّينا", "probability": 0.919140625}, {"start": 2894.58, "end": 2895.22, "word": " نستذكر", "probability": 0.97314453125}, {"start": 2895.22, "end": 2895.64, "word": " بس", "probability": 0.982177734375}], "temperature": 1.0}, {"id": 107, "seek": 292850, "start": 2902.46, "end": 2928.5, "text": "في نظرية أخدناها قبل هيك ال theorem اتنين خمسة واحد بتقول if S subset of R contains at least two elements and satisfies", "tokens": [41185, 8717, 19913, 2288, 10632, 5551, 9778, 3215, 8315, 11296, 12174, 36150, 39896, 4117, 2423, 20904, 1975, 2655, 1863, 9957, 16490, 2304, 3794, 3660, 36764, 24401, 39894, 39648, 498, 318, 25993, 295, 497, 8306, 412, 1935, 732, 4959, 293, 44271], "avg_logprob": -0.18368902729778755, "compression_ratio": 1.1521739130434783, "no_speech_prob": 0.0, "words": [{"start": 2902.46, "end": 2902.7, "word": "في", "probability": 0.78125}, {"start": 2902.7, "end": 2903.18, "word": " نظرية", "probability": 0.9678955078125}, {"start": 2903.18, "end": 2903.68, "word": " أخدناها", "probability": 0.779296875}, {"start": 2903.68, "end": 2904.02, "word": " قبل", "probability": 0.93896484375}, {"start": 2904.02, "end": 2904.3, "word": " هيك", "probability": 0.6011962890625}, {"start": 2904.3, "end": 2904.46, "word": " ال", "probability": 0.43408203125}, {"start": 2904.46, "end": 2904.82, "word": " theorem", "probability": 0.70166015625}, {"start": 2904.82, "end": 2906.76, "word": " اتنين", "probability": 0.83319091796875}, {"start": 2906.76, "end": 2907.56, "word": " خمسة", "probability": 0.9366455078125}, {"start": 2907.56, "end": 2908.5, "word": " واحد", "probability": 0.957275390625}, {"start": 2908.5, "end": 2910.28, "word": " بتقول", "probability": 0.96875}, {"start": 2910.28, "end": 2910.8, "word": " if", "probability": 0.7548828125}, {"start": 2910.8, "end": 2912.64, "word": " S", "probability": 0.53466796875}, {"start": 2912.64, "end": 2915.28, "word": " subset", "probability": 0.87109375}, {"start": 2915.28, "end": 2916.0, "word": " of", "probability": 0.97607421875}, {"start": 2916.0, "end": 2916.5, "word": " R", "probability": 0.98388671875}, {"start": 2916.5, "end": 2918.68, "word": " contains", "probability": 0.74560546875}, {"start": 2918.68, "end": 2920.46, "word": " at", "probability": 0.96875}, {"start": 2920.46, "end": 2921.18, "word": " least", "probability": 0.95849609375}, {"start": 2921.18, "end": 2924.3, "word": " two", "probability": 0.91064453125}, {"start": 2924.3, "end": 2924.98, "word": " elements", "probability": 0.89794921875}, {"start": 2924.98, "end": 2926.76, "word": " and", "probability": 0.93798828125}, {"start": 2926.76, "end": 2928.5, "word": " satisfies", "probability": 0.9150390625}], "temperature": 1.0}, {"id": 108, "seek": 295379, "start": 2932.53, "end": 2953.79, "text": "Satisfies الخاصية واحد إن لو كان X و Y تلوي ل S و X أصغر من Y هذا بيقدي إن الفترة من X إلى Y contained in S then set S is an interval", "tokens": [50, 25239, 530, 33962, 33546, 10632, 36764, 24401, 36145, 45164, 25961, 1783, 4032, 398, 6055, 1211, 2407, 1829, 5296, 318, 4032, 1783, 5551, 9381, 17082, 2288, 9154, 398, 23758, 4724, 1829, 4587, 16254, 36145, 27188, 2655, 25720, 9154, 1783, 30731, 398, 16212, 294, 318, 550, 992, 318, 307, 364, 15035], "avg_logprob": -0.28799018439124613, "compression_ratio": 1.2333333333333334, "no_speech_prob": 0.0, "words": [{"start": 2932.5299999999997, "end": 2933.43, "word": "Satisfies", "probability": 0.6765950520833334}, {"start": 2933.43, "end": 2934.33, "word": " الخاصية", "probability": 0.9679361979166666}, {"start": 2934.33, "end": 2934.89, "word": " واحد", "probability": 0.925048828125}, {"start": 2934.89, "end": 2935.11, "word": " إن", "probability": 0.2176513671875}, {"start": 2935.11, "end": 2935.35, "word": " لو", "probability": 0.9033203125}, {"start": 2935.35, "end": 2935.75, "word": " كان", "probability": 0.97216796875}, {"start": 2935.75, "end": 2936.19, "word": " X", "probability": 0.52880859375}, {"start": 2936.19, "end": 2937.11, "word": " و", "probability": 0.90478515625}, {"start": 2937.11, "end": 2937.47, "word": " Y", "probability": 0.55712890625}, {"start": 2937.47, "end": 2938.17, "word": " تلوي", "probability": 0.52435302734375}, {"start": 2938.17, "end": 2938.31, "word": " ل", "probability": 0.85693359375}, {"start": 2938.31, "end": 2938.61, "word": " S", "probability": 0.5947265625}, {"start": 2938.61, "end": 2938.81, "word": " و", "probability": 0.9013671875}, {"start": 2938.81, "end": 2939.13, "word": " X", "probability": 0.9267578125}, {"start": 2939.13, "end": 2939.59, "word": " أصغر", "probability": 0.969970703125}, {"start": 2939.59, "end": 2939.79, "word": " من", "probability": 0.990234375}, {"start": 2939.79, "end": 2940.15, "word": " Y", "probability": 0.9912109375}, {"start": 2940.15, "end": 2941.19, "word": " هذا", "probability": 0.56591796875}, {"start": 2941.19, "end": 2941.83, "word": " بيقدي", "probability": 0.70562744140625}, {"start": 2941.83, "end": 2942.71, "word": " إن", "probability": 0.60546875}, {"start": 2942.71, "end": 2943.29, "word": " الفترة", "probability": 0.9261067708333334}, {"start": 2943.29, "end": 2943.59, "word": " من", "probability": 0.97998046875}, {"start": 2943.59, "end": 2944.03, "word": " X", "probability": 0.9853515625}, {"start": 2944.03, "end": 2944.33, "word": " إلى", "probability": 0.89892578125}, {"start": 2944.33, "end": 2944.85, "word": " Y", "probability": 0.9921875}, {"start": 2944.85, "end": 2945.69, "word": " contained", "probability": 0.568359375}, {"start": 2945.69, "end": 2946.09, "word": " in", "probability": 0.90087890625}, {"start": 2946.09, "end": 2946.49, "word": " S", "probability": 0.9853515625}, {"start": 2946.49, "end": 2950.67, "word": " then", "probability": 0.2000732421875}, {"start": 2950.67, "end": 2951.89, "word": " set", "probability": 0.71728515625}, {"start": 2951.89, "end": 2952.35, "word": " S", "probability": 0.86474609375}, {"start": 2952.35, "end": 2952.77, "word": " is", "probability": 0.96044921875}, {"start": 2952.77, "end": 2953.25, "word": " an", "probability": 0.83203125}, {"start": 2953.25, "end": 2953.79, "word": " interval", "probability": 0.9775390625}], "temperature": 1.0}, {"id": 109, "seek": 296559, "start": 2957.43, "end": 2965.59, "text": "إن ان هذه النظرية أخدناها في ال chapter .. في ال chapter الأولاري بتقول لو كان في عندي set subset من R فيها على الأقل أنصر L", "tokens": [28814, 1863, 16472, 29538, 28239, 19913, 2288, 10632, 5551, 9778, 3215, 8315, 11296, 8978, 2423, 7187, 4386, 8978, 2423, 7187, 16247, 12610, 9640, 1829, 39894, 39648, 45164, 25961, 8978, 18871, 16254, 992, 25993, 9154, 497, 8978, 11296, 15844, 16247, 4587, 1211, 14739, 9381, 2288, 441], "avg_logprob": -0.2744565126688584, "compression_ratio": 1.3928571428571428, "no_speech_prob": 0.0, "words": [{"start": 2957.43, "end": 2957.71, "word": "إن", "probability": 0.64697265625}, {"start": 2957.71, "end": 2957.81, "word": " ان", "probability": 0.2479248046875}, {"start": 2957.81, "end": 2957.95, "word": " هذه", "probability": 0.5244140625}, {"start": 2957.95, "end": 2958.33, "word": " النظرية", "probability": 0.8472900390625}, {"start": 2958.33, "end": 2958.73, "word": " أخدناها", "probability": 0.87431640625}, {"start": 2958.73, "end": 2958.83, "word": " في", "probability": 0.9736328125}, {"start": 2958.83, "end": 2958.87, "word": " ال", "probability": 0.623046875}, {"start": 2958.87, "end": 2959.19, "word": " chapter", "probability": 0.90478515625}, {"start": 2959.19, "end": 2959.27, "word": " ..", "probability": 0.376708984375}, {"start": 2959.27, "end": 2959.37, "word": " في", "probability": 0.89208984375}, {"start": 2959.37, "end": 2959.47, "word": " ال", "probability": 0.76611328125}, {"start": 2959.47, "end": 2959.73, "word": " chapter", "probability": 0.93408203125}, {"start": 2959.73, "end": 2960.33, "word": " الأولاري", "probability": 0.8819580078125}, {"start": 2960.33, "end": 2960.73, "word": " بتقول", "probability": 0.9677734375}, {"start": 2960.73, "end": 2960.99, "word": " لو", "probability": 0.94287109375}, {"start": 2960.99, "end": 2961.27, "word": " كان", "probability": 0.99462890625}, {"start": 2961.27, "end": 2961.43, "word": " في", "probability": 0.939453125}, {"start": 2961.43, "end": 2961.85, "word": " عندي", "probability": 0.766845703125}, {"start": 2961.85, "end": 2963.23, "word": " set", "probability": 0.14404296875}, {"start": 2963.23, "end": 2963.83, "word": " subset", "probability": 0.5498046875}, {"start": 2963.83, "end": 2964.05, "word": " من", "probability": 0.99462890625}, {"start": 2964.05, "end": 2964.27, "word": " R", "probability": 0.90478515625}, {"start": 2964.27, "end": 2964.55, "word": " فيها", "probability": 0.874267578125}, {"start": 2964.55, "end": 2964.65, "word": " على", "probability": 0.93798828125}, {"start": 2964.65, "end": 2964.95, "word": " الأقل", "probability": 0.9249674479166666}, {"start": 2964.95, "end": 2965.43, "word": " أنصر", "probability": 0.759765625}, {"start": 2965.43, "end": 2965.59, "word": " L", "probability": 0.57666015625}], "temperature": 1.0}, {"id": 110, "seek": 299178, "start": 2967.2, "end": 2991.78, "text": "وبتحقق ال set هذه بتحقق الخاصية واحد property one انه لأي x و y في ال set و x أصغر من y الفترة من x ل y بتكون موجودة داخل ال set في الحالة هذه ال set نفسها S تطلع interval اذا انا بدي اثبت to show طيب انا عندي", "tokens": [37746, 2655, 5016, 4587, 4587, 2423, 992, 29538, 39894, 5016, 4587, 4587, 33962, 33546, 10632, 36764, 24401, 4707, 472, 16472, 3224, 5296, 10721, 1829, 2031, 4032, 288, 8978, 2423, 992, 4032, 2031, 5551, 9381, 17082, 2288, 9154, 288, 27188, 2655, 25720, 9154, 2031, 5296, 288, 39894, 30544, 3714, 29245, 23328, 3660, 11778, 47283, 1211, 2423, 992, 8978, 21542, 6027, 3660, 29538, 2423, 992, 8717, 36178, 11296, 318, 6055, 9566, 1211, 3615, 15035, 1975, 15730, 1975, 8315, 4724, 16254, 1975, 12984, 3555, 2655, 281, 855, 23032, 1829, 3555, 1975, 8315, 18871, 16254], "avg_logprob": -0.1987092328136382, "compression_ratio": 1.608910891089109, "no_speech_prob": 0.0, "words": [{"start": 2967.2000000000003, "end": 2967.92, "word": "وبتحقق", "probability": 0.774530029296875}, {"start": 2967.92, "end": 2968.64, "word": " ال", "probability": 0.73046875}, {"start": 2968.64, "end": 2968.88, "word": " set", "probability": 0.689453125}, {"start": 2968.88, "end": 2969.1, "word": " هذه", "probability": 0.25048828125}, {"start": 2969.1, "end": 2969.52, "word": " بتحقق", "probability": 0.873291015625}, {"start": 2969.52, "end": 2970.18, "word": " الخاصية", "probability": 0.6426595052083334}, {"start": 2970.18, "end": 2970.64, "word": " واحد", "probability": 0.976806640625}, {"start": 2970.64, "end": 2971.02, "word": " property", "probability": 0.84814453125}, {"start": 2971.02, "end": 2971.5, "word": " one", "probability": 0.81396484375}, {"start": 2971.5, "end": 2972.2, "word": " انه", "probability": 0.557861328125}, {"start": 2972.2, "end": 2972.5, "word": " لأي", "probability": 0.8450520833333334}, {"start": 2972.5, "end": 2972.8, "word": " x", "probability": 0.81640625}, {"start": 2972.8, "end": 2972.94, "word": " و", "probability": 0.9033203125}, {"start": 2972.94, "end": 2973.08, "word": " y", "probability": 0.66748046875}, {"start": 2973.08, "end": 2973.22, "word": " في", "probability": 0.94775390625}, {"start": 2973.22, "end": 2973.36, "word": " ال", "probability": 0.927734375}, {"start": 2973.36, "end": 2973.58, "word": " set", "probability": 0.97509765625}, {"start": 2973.58, "end": 2974.14, "word": " و", "probability": 0.8759765625}, {"start": 2974.14, "end": 2974.38, "word": " x", "probability": 0.5703125}, {"start": 2974.38, "end": 2974.78, "word": " أصغر", "probability": 0.9288330078125}, {"start": 2974.78, "end": 2974.96, "word": " من", "probability": 0.990234375}, {"start": 2974.96, "end": 2975.28, "word": " y", "probability": 0.96728515625}, {"start": 2975.28, "end": 2976.22, "word": " الفترة", "probability": 0.9773763020833334}, {"start": 2976.22, "end": 2976.34, "word": " من", "probability": 0.99072265625}, {"start": 2976.34, "end": 2976.62, "word": " x", "probability": 0.859375}, {"start": 2976.62, "end": 2976.7, "word": " ل", "probability": 0.80419921875}, {"start": 2976.7, "end": 2977.0, "word": " y", "probability": 0.9697265625}, {"start": 2977.0, "end": 2978.0, "word": " بتكون", "probability": 0.939208984375}, {"start": 2978.0, "end": 2978.76, "word": " موجودة", "probability": 0.9722900390625}, {"start": 2978.76, "end": 2979.14, "word": " داخل", "probability": 0.9814453125}, {"start": 2979.14, "end": 2979.3, "word": " ال", "probability": 0.9560546875}, {"start": 2979.3, "end": 2979.54, "word": " set", "probability": 0.98583984375}, {"start": 2979.54, "end": 2980.04, "word": " في", "probability": 0.7666015625}, {"start": 2980.04, "end": 2980.38, "word": " الحالة", "probability": 0.9635416666666666}, {"start": 2980.38, "end": 2980.62, "word": " هذه", "probability": 0.90234375}, {"start": 2980.62, "end": 2980.8, "word": " ال", "probability": 0.951171875}, {"start": 2980.8, "end": 2981.0, "word": " set", "probability": 0.98779296875}, {"start": 2981.0, "end": 2981.52, "word": " نفسها", "probability": 0.9503580729166666}, {"start": 2981.52, "end": 2981.72, "word": " S", "probability": 0.46630859375}, {"start": 2981.72, "end": 2982.3, "word": " تطلع", "probability": 0.927978515625}, {"start": 2982.3, "end": 2983.12, "word": " interval", "probability": 0.9384765625}, {"start": 2983.12, "end": 2983.88, "word": " اذا", "probability": 0.6409912109375}, {"start": 2983.88, "end": 2984.12, "word": " انا", "probability": 0.853515625}, {"start": 2984.12, "end": 2984.38, "word": " بدي", "probability": 0.77197265625}, {"start": 2984.38, "end": 2985.52, "word": " اثبت", "probability": 0.9383544921875}, {"start": 2985.52, "end": 2987.32, "word": " to", "probability": 0.80712890625}, {"start": 2987.32, "end": 2987.78, "word": " show", "probability": 0.9580078125}, {"start": 2987.78, "end": 2990.82, "word": " طيب", "probability": 0.9226888020833334}, {"start": 2990.82, "end": 2991.22, "word": " انا", "probability": 0.879638671875}, {"start": 2991.22, "end": 2991.78, "word": " عندي", "probability": 0.83740234375}], "temperature": 1.0}, {"id": 111, "seek": 301410, "start": 2994.28, "end": 3014.1, "text": "هذه أخدت نقطتين في ال set هذه هي ال set ال set S هذه أخدت نقطتين و Alpha أصغر من Beta و بتثبت أنها بتحقق الخاصية واحد عشان أثبت أنها interval أنا عندي Alpha و Beta تنتمي ل F of I لأن Alpha بتساوي F of A", "tokens": [3224, 24192, 5551, 9778, 3215, 2655, 8717, 47432, 2655, 9957, 8978, 2423, 992, 8032, 8848, 3224, 39896, 2423, 992, 2423, 992, 318, 8032, 8848, 3224, 5551, 9778, 3215, 2655, 8717, 47432, 2655, 9957, 4032, 20588, 5551, 9381, 17082, 2288, 9154, 33286, 4032, 39894, 12984, 3555, 2655, 14739, 11296, 39894, 5016, 4587, 4587, 33962, 33546, 10632, 36764, 24401, 6225, 8592, 7649, 5551, 12984, 3555, 2655, 14739, 11296, 15035, 41850, 18871, 16254, 20588, 4032, 33286, 6055, 29399, 2304, 1829, 5296, 479, 295, 286, 5296, 33456, 20588, 39894, 3794, 995, 45865, 479, 295, 316], "avg_logprob": -0.3357676679025526, "compression_ratio": 1.6524064171122994, "no_speech_prob": 0.0, "words": [{"start": 2994.28, "end": 2994.66, "word": "هذه", "probability": 0.63525390625}, {"start": 2994.66, "end": 2995.16, "word": " أخدت", "probability": 0.739501953125}, {"start": 2995.16, "end": 2995.82, "word": " نقطتين", "probability": 0.9378662109375}, {"start": 2995.82, "end": 2996.04, "word": " في", "probability": 0.849609375}, {"start": 2996.04, "end": 2996.22, "word": " ال", "probability": 0.6708984375}, {"start": 2996.22, "end": 2996.46, "word": " set", "probability": 0.12237548828125}, {"start": 2996.46, "end": 2997.74, "word": " هذه", "probability": 0.2673746744791667}, {"start": 2997.74, "end": 2997.74, "word": " هي", "probability": 0.2293701171875}, {"start": 2997.74, "end": 2997.98, "word": " ال", "probability": 0.403076171875}, {"start": 2997.98, "end": 2998.32, "word": " set", "probability": 0.9619140625}, {"start": 2998.32, "end": 2999.3, "word": " ال", "probability": 0.1417236328125}, {"start": 2999.3, "end": 2999.62, "word": " set", "probability": 0.9580078125}, {"start": 2999.62, "end": 3000.06, "word": " S", "probability": 0.5986328125}, {"start": 3000.06, "end": 3000.8, "word": " هذه", "probability": 0.5977376302083334}, {"start": 3000.8, "end": 3001.14, "word": " أخدت", "probability": 0.9554443359375}, {"start": 3001.14, "end": 3001.76, "word": " نقطتين", "probability": 0.9791259765625}, {"start": 3001.76, "end": 3002.72, "word": " و", "probability": 0.54052734375}, {"start": 3002.72, "end": 3003.08, "word": " Alpha", "probability": 0.28955078125}, {"start": 3003.08, "end": 3003.5, "word": " أصغر", "probability": 0.9747314453125}, {"start": 3003.5, "end": 3003.64, "word": " من", "probability": 0.93896484375}, {"start": 3003.64, "end": 3003.92, "word": " Beta", "probability": 0.63134765625}, {"start": 3003.92, "end": 3004.04, "word": " و", "probability": 0.67919921875}, {"start": 3004.04, "end": 3004.46, "word": " بتثبت", "probability": 0.624725341796875}, {"start": 3004.46, "end": 3004.6, "word": " أنها", "probability": 0.7841796875}, {"start": 3004.6, "end": 3005.14, "word": " بتحقق", "probability": 0.752197265625}, {"start": 3005.14, "end": 3005.82, "word": " الخاصية", "probability": 0.8873697916666666}, {"start": 3005.82, "end": 3006.2, "word": " واحد", "probability": 0.9228515625}, {"start": 3006.2, "end": 3006.5, "word": " عشان", "probability": 0.9363606770833334}, {"start": 3006.5, "end": 3006.86, "word": " أثبت", "probability": 0.86041259765625}, {"start": 3006.86, "end": 3007.12, "word": " أنها", "probability": 0.85400390625}, {"start": 3007.12, "end": 3007.96, "word": " interval", "probability": 0.671875}, {"start": 3007.96, "end": 3008.7, "word": " أنا", "probability": 0.59033203125}, {"start": 3008.7, "end": 3009.0, "word": " عندي", "probability": 0.78125}, {"start": 3009.0, "end": 3009.22, "word": " Alpha", "probability": 0.8876953125}, {"start": 3009.22, "end": 3009.36, "word": " و", "probability": 0.8720703125}, {"start": 3009.36, "end": 3009.54, "word": " Beta", "probability": 0.81982421875}, {"start": 3009.54, "end": 3010.24, "word": " تنتمي", "probability": 0.84930419921875}, {"start": 3010.24, "end": 3010.34, "word": " ل", "probability": 0.9072265625}, {"start": 3010.34, "end": 3010.56, "word": " F", "probability": 0.67626953125}, {"start": 3010.56, "end": 3010.74, "word": " of", "probability": 0.73486328125}, {"start": 3010.74, "end": 3011.06, "word": " I", "probability": 0.93994140625}, {"start": 3011.06, "end": 3011.94, "word": " لأن", "probability": 0.783935546875}, {"start": 3011.94, "end": 3012.36, "word": " Alpha", "probability": 0.93701171875}, {"start": 3012.36, "end": 3013.16, "word": " بتساوي", "probability": 0.7440185546875}, {"start": 3013.16, "end": 3013.54, "word": " F", "probability": 0.9853515625}, {"start": 3013.54, "end": 3013.78, "word": " of", "probability": 0.966796875}, {"start": 3013.78, "end": 3014.1, "word": " A", "probability": 0.98486328125}], "temperature": 1.0}, {"id": 112, "seek": 303979, "start": 3015.71, "end": 3039.79, "text": "for some a تنتمي إلى I و Beta بساوي F of B for some B تنتمي إلى I وبالتالي .. بالتالي ..", "tokens": [2994, 512, 257, 6055, 29399, 2304, 1829, 30731, 286, 4032, 33286, 4724, 3794, 995, 45865, 479, 295, 363, 337, 512, 363, 6055, 29399, 2304, 1829, 30731, 286, 46599, 6027, 2655, 6027, 1829, 4386, 20666, 2655, 6027, 1829, 4386], "avg_logprob": -0.29507210774299425, "compression_ratio": 1.4705882352941178, "no_speech_prob": 0.0, "words": [{"start": 3015.71, "end": 3016.13, "word": "for", "probability": 0.490478515625}, {"start": 3016.13, "end": 3016.69, "word": " some", "probability": 0.74853515625}, {"start": 3016.69, "end": 3017.25, "word": " a", "probability": 0.7421875}, {"start": 3017.25, "end": 3018.21, "word": " تنتمي", "probability": 0.861572265625}, {"start": 3018.21, "end": 3018.37, "word": " إلى", "probability": 0.391845703125}, {"start": 3018.37, "end": 3018.75, "word": " I", "probability": 0.54052734375}, {"start": 3018.75, "end": 3019.69, "word": " و", "probability": 0.7392578125}, {"start": 3019.69, "end": 3020.19, "word": " Beta", "probability": 0.39404296875}, {"start": 3020.19, "end": 3021.43, "word": " بساوي", "probability": 0.65411376953125}, {"start": 3021.43, "end": 3021.83, "word": " F", "probability": 0.6455078125}, {"start": 3021.83, "end": 3022.19, "word": " of", "probability": 0.72802734375}, {"start": 3022.19, "end": 3022.57, "word": " B", "probability": 0.8134765625}, {"start": 3022.57, "end": 3023.73, "word": " for", "probability": 0.822265625}, {"start": 3023.73, "end": 3024.17, "word": " some", "probability": 0.8896484375}, {"start": 3024.17, "end": 3024.55, "word": " B", "probability": 0.7470703125}, {"start": 3024.55, "end": 3025.55, "word": " تنتمي", "probability": 0.96826171875}, {"start": 3025.55, "end": 3025.79, "word": " إلى", "probability": 0.93896484375}, {"start": 3025.79, "end": 3026.15, "word": " I", "probability": 0.99365234375}, {"start": 3026.15, "end": 3030.33, "word": " وبالتالي", "probability": 0.91064453125}, {"start": 3030.33, "end": 3036.95, "word": " ..", "probability": 0.362060546875}, {"start": 3036.95, "end": 3039.17, "word": " بالتالي", "probability": 0.8133544921875}, {"start": 3039.17, "end": 3039.79, "word": " ..", "probability": 0.890625}], "temperature": 1.0}, {"id": 113, "seek": 307236, "start": 3047.2, "end": 3072.36, "text": "انا عندي ال bolzanova طيب طيب to show to show f of I is an interval we need to show", "tokens": [7649, 995, 18871, 16254, 2423, 8986, 89, 3730, 2757, 23032, 1829, 3555, 23032, 1829, 3555, 281, 855, 281, 855, 283, 295, 286, 307, 364, 15035, 321, 643, 281, 855], "avg_logprob": -0.24492187201976776, "compression_ratio": 1.1264367816091954, "no_speech_prob": 0.0, "words": [{"start": 3047.2, "end": 3047.58, "word": "انا", "probability": 0.809814453125}, {"start": 3047.58, "end": 3047.96, "word": " عندي", "probability": 0.808837890625}, {"start": 3047.96, "end": 3048.66, "word": " ال", "probability": 0.8427734375}, {"start": 3048.66, "end": 3051.58, "word": " bolzanova", "probability": 0.64569091796875}, {"start": 3051.58, "end": 3052.48, "word": " طيب", "probability": 0.8190104166666666}, {"start": 3052.48, "end": 3054.58, "word": " طيب", "probability": 0.9041341145833334}, {"start": 3054.58, "end": 3054.94, "word": " to", "probability": 0.88427734375}, {"start": 3054.94, "end": 3055.4, "word": " show", "probability": 0.96826171875}, {"start": 3055.4, "end": 3059.18, "word": " to", "probability": 0.83740234375}, {"start": 3059.18, "end": 3059.82, "word": " show", "probability": 0.97216796875}, {"start": 3059.82, "end": 3061.44, "word": " f", "probability": 0.5458984375}, {"start": 3061.44, "end": 3061.94, "word": " of", "probability": 0.7939453125}, {"start": 3061.94, "end": 3062.52, "word": " I", "probability": 0.60205078125}, {"start": 3062.52, "end": 3063.82, "word": " is", "probability": 0.9560546875}, {"start": 3063.82, "end": 3064.98, "word": " an", "probability": 0.69677734375}, {"start": 3064.98, "end": 3065.7, "word": " interval", "probability": 0.9853515625}, {"start": 3065.7, "end": 3069.42, "word": " we", "probability": 0.84130859375}, {"start": 3069.42, "end": 3069.98, "word": " need", "probability": 0.95361328125}, {"start": 3069.98, "end": 3071.94, "word": " to", "probability": 0.98779296875}, {"start": 3071.94, "end": 3072.36, "word": " show", "probability": 0.95654296875}], "temperature": 1.0}, {"id": 114, "seek": 310229, "start": 3073.83, "end": 3102.29, "text": "ان الset f of i satisfies property واحد of theorem اتنين خمسة واحد فهي عندي alpha و beta تنتمي ل f of i و alpha أصغر من beta ف to show", "tokens": [7649, 2423, 3854, 283, 295, 741, 44271, 4707, 36764, 24401, 295, 20904, 1975, 2655, 1863, 9957, 16490, 2304, 3794, 3660, 36764, 24401, 6156, 3224, 1829, 18871, 16254, 8961, 4032, 9861, 6055, 29399, 2304, 1829, 5296, 283, 295, 741, 4032, 8961, 5551, 9381, 17082, 2288, 9154, 9861, 6156, 281, 855], "avg_logprob": -0.37999999403953555, "compression_ratio": 1.2733812949640289, "no_speech_prob": 0.0, "words": [{"start": 3073.83, "end": 3074.15, "word": "ان", "probability": 0.09765625}, {"start": 3074.15, "end": 3074.67, "word": " الset", "probability": 0.311279296875}, {"start": 3074.67, "end": 3075.03, "word": " f", "probability": 0.475830078125}, {"start": 3075.03, "end": 3075.27, "word": " of", "probability": 0.58984375}, {"start": 3075.27, "end": 3075.65, "word": " i", "probability": 0.52294921875}, {"start": 3075.65, "end": 3077.81, "word": " satisfies", "probability": 0.193115234375}, {"start": 3077.81, "end": 3080.55, "word": " property", "probability": 0.69873046875}, {"start": 3080.55, "end": 3083.83, "word": " واحد", "probability": 0.6451416015625}, {"start": 3083.83, "end": 3084.53, "word": " of", "probability": 0.90673828125}, {"start": 3084.53, "end": 3086.63, "word": " theorem", "probability": 0.69482421875}, {"start": 3086.63, "end": 3089.03, "word": " اتنين", "probability": 0.84405517578125}, {"start": 3089.03, "end": 3089.63, "word": " خمسة", "probability": 0.81817626953125}, {"start": 3089.63, "end": 3090.01, "word": " واحد", "probability": 0.982666015625}, {"start": 3090.01, "end": 3093.43, "word": " فهي", "probability": 0.7473958333333334}, {"start": 3093.43, "end": 3093.79, "word": " عندي", "probability": 0.72705078125}, {"start": 3093.79, "end": 3094.11, "word": " alpha", "probability": 0.6689453125}, {"start": 3094.11, "end": 3094.33, "word": " و", "probability": 0.93115234375}, {"start": 3094.33, "end": 3094.57, "word": " beta", "probability": 0.859375}, {"start": 3094.57, "end": 3095.23, "word": " تنتمي", "probability": 0.93505859375}, {"start": 3095.23, "end": 3095.29, "word": " ل", "probability": 0.8388671875}, {"start": 3095.29, "end": 3095.51, "word": " f", "probability": 0.312255859375}, {"start": 3095.51, "end": 3095.69, "word": " of", "probability": 0.83642578125}, {"start": 3095.69, "end": 3095.89, "word": " i", "probability": 0.8232421875}, {"start": 3095.89, "end": 3095.99, "word": " و", "probability": 0.6865234375}, {"start": 3095.99, "end": 3096.23, "word": " alpha", "probability": 0.794921875}, {"start": 3096.23, "end": 3096.63, "word": " أصغر", "probability": 0.853271484375}, {"start": 3096.63, "end": 3096.83, "word": " من", "probability": 0.99169921875}, {"start": 3096.83, "end": 3097.19, "word": " beta", "probability": 0.83447265625}, {"start": 3097.19, "end": 3100.69, "word": " ف", "probability": 0.45849609375}, {"start": 3100.69, "end": 3101.87, "word": " to", "probability": 0.56103515625}, {"start": 3101.87, "end": 3102.29, "word": " show", "probability": 0.94384765625}], "temperature": 1.0}, {"id": 115, "seek": 312030, "start": 3104.88, "end": 3120.3, "text": "الفترة من Alpha إلى Beta content in F of I let K ينتمي إلى الفترة المغلقة من Alpha إلى Beta", "tokens": [6027, 5172, 2655, 25720, 9154, 20588, 30731, 33286, 2701, 294, 479, 295, 286, 718, 591, 7251, 29399, 2304, 1829, 30731, 27188, 2655, 25720, 9673, 17082, 1211, 28671, 9154, 20588, 30731, 33286], "avg_logprob": -0.2687988243997097, "compression_ratio": 1.3763440860215055, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 3104.88, "end": 3105.68, "word": "الفترة", "probability": 0.8134765625}, {"start": 3105.68, "end": 3105.98, "word": " من", "probability": 0.92431640625}, {"start": 3105.98, "end": 3106.44, "word": " Alpha", "probability": 0.483154296875}, {"start": 3106.44, "end": 3106.9, "word": " إلى", "probability": 0.904296875}, {"start": 3106.9, "end": 3107.46, "word": " Beta", "probability": 0.494873046875}, {"start": 3107.46, "end": 3108.84, "word": " content", "probability": 0.226806640625}, {"start": 3108.84, "end": 3110.36, "word": " in", "probability": 0.822265625}, {"start": 3110.36, "end": 3110.76, "word": " F", "probability": 0.61083984375}, {"start": 3110.76, "end": 3111.06, "word": " of", "probability": 0.79541015625}, {"start": 3111.06, "end": 3111.56, "word": " I", "probability": 0.96533203125}, {"start": 3111.56, "end": 3113.5, "word": " let", "probability": 0.290771484375}, {"start": 3113.5, "end": 3116.02, "word": " K", "probability": 0.787109375}, {"start": 3116.02, "end": 3117.08, "word": " ينتمي", "probability": 0.9686279296875}, {"start": 3117.08, "end": 3117.44, "word": " إلى", "probability": 0.90380859375}, {"start": 3117.44, "end": 3118.06, "word": " الفترة", "probability": 0.9881184895833334}, {"start": 3118.06, "end": 3118.64, "word": " المغلقة", "probability": 0.95458984375}, {"start": 3118.64, "end": 3118.92, "word": " من", "probability": 0.9716796875}, {"start": 3118.92, "end": 3119.36, "word": " Alpha", "probability": 0.96240234375}, {"start": 3119.36, "end": 3119.76, "word": " إلى", "probability": 0.97509765625}, {"start": 3119.76, "end": 3120.3, "word": " Beta", "probability": 0.91845703125}], "temperature": 1.0}, {"id": 116, "seek": 315294, "start": 3124.22, "end": 3152.94, "text": "أكبر من أو يساوي alpha هي بيساوي f of a وأصغر من أو يساوي beta هي بيساوي f of b وبالتالي so by Bolzano's intermediate value theorem", "tokens": [10721, 4117, 26890, 9154, 34051, 7251, 3794, 995, 45865, 8961, 39896, 4724, 1829, 3794, 995, 45865, 283, 295, 257, 36725, 9381, 17082, 2288, 9154, 34051, 7251, 3794, 995, 45865, 9861, 39896, 4724, 1829, 3794, 995, 45865, 283, 295, 272, 46599, 6027, 2655, 6027, 1829, 370, 538, 14331, 89, 3730, 311, 19376, 2158, 20904], "avg_logprob": -0.22598380126335002, "compression_ratio": 1.421875, "no_speech_prob": 0.0, "words": [{"start": 3124.22, "end": 3124.92, "word": "أكبر", "probability": 0.8642578125}, {"start": 3124.92, "end": 3125.38, "word": " من", "probability": 0.9833984375}, {"start": 3125.38, "end": 3126.4, "word": " أو", "probability": 0.5888671875}, {"start": 3126.4, "end": 3127.06, "word": " يساوي", "probability": 0.8067626953125}, {"start": 3127.06, "end": 3127.42, "word": " alpha", "probability": 0.455078125}, {"start": 3127.42, "end": 3127.86, "word": " هي", "probability": 0.21435546875}, {"start": 3127.86, "end": 3128.66, "word": " بيساوي", "probability": 0.827734375}, {"start": 3128.66, "end": 3129.04, "word": " f", "probability": 0.58984375}, {"start": 3129.04, "end": 3129.3, "word": " of", "probability": 0.732421875}, {"start": 3129.3, "end": 3129.72, "word": " a", "probability": 0.8818359375}, {"start": 3129.72, "end": 3131.44, "word": " وأصغر", "probability": 0.8685302734375}, {"start": 3131.44, "end": 3131.68, "word": " من", "probability": 0.9921875}, {"start": 3131.68, "end": 3131.9, "word": " أو", "probability": 0.92529296875}, {"start": 3131.9, "end": 3132.5, "word": " يساوي", "probability": 0.97802734375}, {"start": 3132.5, "end": 3132.9, "word": " beta", "probability": 0.72900390625}, {"start": 3132.9, "end": 3133.34, "word": " هي", "probability": 0.876953125}, {"start": 3133.34, "end": 3134.14, "word": " بيساوي", "probability": 0.97998046875}, {"start": 3134.14, "end": 3134.64, "word": " f", "probability": 0.939453125}, {"start": 3134.64, "end": 3135.2, "word": " of", "probability": 0.96630859375}, {"start": 3135.2, "end": 3135.8, "word": " b", "probability": 0.90087890625}, {"start": 3135.8, "end": 3138.08, "word": " وبالتالي", "probability": 0.92236328125}, {"start": 3138.08, "end": 3138.72, "word": " so", "probability": 0.45361328125}, {"start": 3138.72, "end": 3141.46, "word": " by", "probability": 0.87255859375}, {"start": 3141.46, "end": 3146.44, "word": " Bolzano's", "probability": 0.720458984375}, {"start": 3146.44, "end": 3151.12, "word": " intermediate", "probability": 0.37353515625}, {"start": 3151.12, "end": 3152.16, "word": " value", "probability": 0.93896484375}, {"start": 3152.16, "end": 3152.94, "word": " theorem", "probability": 0.89453125}], "temperature": 1.0}, {"id": 117, "seek": 318358, "start": 3155.62, "end": 3183.58, "text": "يوجد K عفوا يوجد C ينتمي إلى I between Alpha و Beta بحيث ان F of C بساوي K او K بساوي F of C", "tokens": [1829, 29245, 3215, 591, 6225, 5172, 14407, 7251, 29245, 3215, 383, 7251, 29399, 2304, 1829, 30731, 286, 1296, 20588, 4032, 33286, 4724, 5016, 1829, 12984, 16472, 479, 295, 383, 4724, 3794, 995, 45865, 591, 1975, 2407, 591, 4724, 3794, 995, 45865, 479, 295, 383], "avg_logprob": -0.19722222354676988, "compression_ratio": 1.1696428571428572, "no_speech_prob": 0.0, "words": [{"start": 3155.62, "end": 3156.5, "word": "يوجد", "probability": 0.91552734375}, {"start": 3156.5, "end": 3157.34, "word": " K", "probability": 0.364501953125}, {"start": 3157.34, "end": 3158.96, "word": " عفوا", "probability": 0.6580403645833334}, {"start": 3158.96, "end": 3159.58, "word": " يوجد", "probability": 0.90966796875}, {"start": 3159.58, "end": 3160.18, "word": " C", "probability": 0.9248046875}, {"start": 3160.18, "end": 3161.82, "word": " ينتمي", "probability": 0.9375}, {"start": 3161.82, "end": 3162.08, "word": " إلى", "probability": 0.61962890625}, {"start": 3162.08, "end": 3162.62, "word": " I", "probability": 0.9814453125}, {"start": 3162.62, "end": 3164.66, "word": " between", "probability": 0.787109375}, {"start": 3164.66, "end": 3168.96, "word": " Alpha", "probability": 0.71923828125}, {"start": 3168.96, "end": 3169.44, "word": " و", "probability": 0.94873046875}, {"start": 3169.44, "end": 3170.06, "word": " Beta", "probability": 0.52587890625}, {"start": 3170.06, "end": 3171.62, "word": " بحيث", "probability": 0.945068359375}, {"start": 3171.62, "end": 3171.92, "word": " ان", "probability": 0.599609375}, {"start": 3171.92, "end": 3172.64, "word": " F", "probability": 0.60595703125}, {"start": 3172.64, "end": 3173.84, "word": " of", "probability": 0.67333984375}, {"start": 3173.84, "end": 3174.2, "word": " C", "probability": 0.978515625}, {"start": 3174.2, "end": 3174.82, "word": " بساوي", "probability": 0.64630126953125}, {"start": 3174.82, "end": 3175.3, "word": " K", "probability": 0.8017578125}, {"start": 3175.3, "end": 3179.4, "word": " او", "probability": 0.8759765625}, {"start": 3179.4, "end": 3179.82, "word": " K", "probability": 0.58837890625}, {"start": 3179.82, "end": 3180.62, "word": " بساوي", "probability": 0.9605712890625}, {"start": 3180.62, "end": 3182.9, "word": " F", "probability": 0.97998046875}, {"start": 3182.9, "end": 3183.26, "word": " of", "probability": 0.955078125}, {"start": 3183.26, "end": 3183.58, "word": " C", "probability": 0.99365234375}], "temperature": 1.0}, {"id": 118, "seek": 320382, "start": 3184.8, "end": 3203.82, "text": "طبما ال C تنتمي ل I إذا F of C تنتمي ل F of I إذا هاني أثبتت إنه كل K في الفترة المغلقة من Alpha إلى Beta طلع ينتمي لفترة F of I وبالتالي إذا", "tokens": [9566, 3555, 15042, 2423, 383, 6055, 29399, 2304, 1829, 5296, 286, 11933, 15730, 479, 295, 383, 6055, 29399, 2304, 1829, 5296, 479, 295, 286, 11933, 15730, 8032, 7649, 1829, 5551, 12984, 3555, 2655, 2655, 36145, 3224, 28242, 591, 8978, 27188, 2655, 25720, 9673, 17082, 1211, 28671, 9154, 20588, 30731, 33286, 23032, 1211, 3615, 7251, 29399, 2304, 1829, 5296, 5172, 2655, 25720, 479, 295, 286, 46599, 6027, 2655, 6027, 1829, 11933, 15730], "avg_logprob": -0.2027994824780358, "compression_ratio": 1.5067567567567568, "no_speech_prob": 0.0, "words": [{"start": 3184.8, "end": 3185.32, "word": "طبما", "probability": 0.533660888671875}, {"start": 3185.32, "end": 3185.54, "word": " ال", "probability": 0.63671875}, {"start": 3185.54, "end": 3185.74, "word": " C", "probability": 0.28759765625}, {"start": 3185.74, "end": 3186.28, "word": " تنتمي", "probability": 0.96826171875}, {"start": 3186.28, "end": 3186.36, "word": " ل", "probability": 0.841796875}, {"start": 3186.36, "end": 3186.7, "word": " I", "probability": 0.876953125}, {"start": 3186.7, "end": 3187.04, "word": " إذا", "probability": 0.5780029296875}, {"start": 3187.04, "end": 3187.38, "word": " F", "probability": 0.462646484375}, {"start": 3187.38, "end": 3187.56, "word": " of", "probability": 0.42041015625}, {"start": 3187.56, "end": 3187.82, "word": " C", "probability": 0.97900390625}, {"start": 3187.82, "end": 3188.64, "word": " تنتمي", "probability": 0.9835205078125}, {"start": 3188.64, "end": 3188.82, "word": " ل", "probability": 0.9453125}, {"start": 3188.82, "end": 3189.14, "word": " F", "probability": 0.814453125}, {"start": 3189.14, "end": 3189.38, "word": " of", "probability": 0.96337890625}, {"start": 3189.38, "end": 3189.72, "word": " I", "probability": 0.99560546875}, {"start": 3189.72, "end": 3193.38, "word": " إذا", "probability": 0.759521484375}, {"start": 3193.38, "end": 3193.66, "word": " هاني", "probability": 0.6622721354166666}, {"start": 3193.66, "end": 3194.08, "word": " أثبتت", "probability": 0.980078125}, {"start": 3194.08, "end": 3194.42, "word": " إنه", "probability": 0.5093994140625}, {"start": 3194.42, "end": 3194.66, "word": " كل", "probability": 0.97119140625}, {"start": 3194.66, "end": 3195.08, "word": " K", "probability": 0.89306640625}, {"start": 3195.08, "end": 3196.62, "word": " في", "probability": 0.8046875}, {"start": 3196.62, "end": 3197.04, "word": " الفترة", "probability": 0.9876302083333334}, {"start": 3197.04, "end": 3197.54, "word": " المغلقة", "probability": 0.979736328125}, {"start": 3197.54, "end": 3197.74, "word": " من", "probability": 0.97802734375}, {"start": 3197.74, "end": 3198.0, "word": " Alpha", "probability": 0.822265625}, {"start": 3198.0, "end": 3198.2, "word": " إلى", "probability": 0.8876953125}, {"start": 3198.2, "end": 3198.48, "word": " Beta", "probability": 0.93896484375}, {"start": 3198.48, "end": 3198.92, "word": " طلع", "probability": 0.9173177083333334}, {"start": 3198.92, "end": 3199.84, "word": " ينتمي", "probability": 0.989013671875}, {"start": 3199.84, "end": 3201.72, "word": " لفترة", "probability": 0.85791015625}, {"start": 3201.72, "end": 3202.0, "word": " F", "probability": 0.95703125}, {"start": 3202.0, "end": 3202.2, "word": " of", "probability": 0.97705078125}, {"start": 3202.2, "end": 3202.52, "word": " I", "probability": 0.9970703125}, {"start": 3202.52, "end": 3203.46, "word": " وبالتالي", "probability": 0.94501953125}, {"start": 3203.46, "end": 3203.82, "word": " إذا", "probability": 0.909423828125}], "temperature": 1.0}, {"id": 119, "seek": 323365, "start": 3205.13, "end": 3233.65, "text": "بطلع عند الفترة المغلقة من Alpha إلى Beta ال subset من F of I وبالتالي إذا ال set F of I بتحقق ال property واحد إذا by theorem .. by theorem اتنين خمسة واحد ال set F of I بتطلع interval is an interval", "tokens": [3555, 9566, 1211, 3615, 43242, 27188, 2655, 25720, 9673, 17082, 1211, 28671, 9154, 20588, 30731, 33286, 2423, 25993, 9154, 479, 295, 286, 46599, 6027, 2655, 6027, 1829, 11933, 15730, 2423, 992, 479, 295, 286, 39894, 5016, 4587, 4587, 2423, 4707, 36764, 24401, 11933, 15730, 538, 20904, 4386, 538, 20904, 1975, 2655, 1863, 9957, 16490, 2304, 3794, 3660, 36764, 24401, 2423, 992, 479, 295, 286, 39894, 9566, 1211, 3615, 15035, 307, 364, 15035], "avg_logprob": -0.21361300716661427, "compression_ratio": 1.5081967213114753, "no_speech_prob": 0.0, "words": [{"start": 3205.13, "end": 3205.63, "word": "بطلع", "probability": 0.74383544921875}, {"start": 3205.63, "end": 3205.85, "word": " عند", "probability": 0.93310546875}, {"start": 3205.85, "end": 3206.35, "word": " الفترة", "probability": 0.9833984375}, {"start": 3206.35, "end": 3206.85, "word": " المغلقة", "probability": 0.9661865234375}, {"start": 3206.85, "end": 3207.07, "word": " من", "probability": 0.962890625}, {"start": 3207.07, "end": 3207.41, "word": " Alpha", "probability": 0.32275390625}, {"start": 3207.41, "end": 3207.81, "word": " إلى", "probability": 0.873046875}, {"start": 3207.81, "end": 3208.45, "word": " Beta", "probability": 0.92626953125}, {"start": 3208.45, "end": 3209.55, "word": " ال", "probability": 0.236572265625}, {"start": 3209.55, "end": 3209.95, "word": " subset", "probability": 0.720703125}, {"start": 3209.95, "end": 3210.35, "word": " من", "probability": 0.9755859375}, {"start": 3210.35, "end": 3210.83, "word": " F", "probability": 0.7373046875}, {"start": 3210.83, "end": 3211.27, "word": " of", "probability": 0.89794921875}, {"start": 3211.27, "end": 3211.71, "word": " I", "probability": 0.96435546875}, {"start": 3211.71, "end": 3213.87, "word": " وبالتالي", "probability": 0.8798828125}, {"start": 3213.87, "end": 3214.17, "word": " إذا", "probability": 0.50836181640625}, {"start": 3214.17, "end": 3214.59, "word": " ال", "probability": 0.9296875}, {"start": 3214.59, "end": 3215.17, "word": " set", "probability": 0.92919921875}, {"start": 3215.17, "end": 3215.51, "word": " F", "probability": 0.8115234375}, {"start": 3215.51, "end": 3215.77, "word": " of", "probability": 0.95751953125}, {"start": 3215.77, "end": 3216.19, "word": " I", "probability": 0.99462890625}, {"start": 3216.19, "end": 3217.89, "word": " بتحقق", "probability": 0.917236328125}, {"start": 3217.89, "end": 3218.27, "word": " ال", "probability": 0.6728515625}, {"start": 3218.27, "end": 3218.83, "word": " property", "probability": 0.9853515625}, {"start": 3218.83, "end": 3219.51, "word": " واحد", "probability": 0.9443359375}, {"start": 3219.51, "end": 3220.81, "word": " إذا", "probability": 0.6531982421875}, {"start": 3220.81, "end": 3221.25, "word": " by", "probability": 0.724609375}, {"start": 3221.25, "end": 3221.79, "word": " theorem", "probability": 0.83984375}, {"start": 3221.79, "end": 3222.09, "word": " ..", "probability": 0.30126953125}, {"start": 3222.09, "end": 3222.63, "word": " by", "probability": 0.7607421875}, {"start": 3222.63, "end": 3223.23, "word": " theorem", "probability": 0.875}, {"start": 3223.23, "end": 3225.63, "word": " اتنين", "probability": 0.768798828125}, {"start": 3225.63, "end": 3226.25, "word": " خمسة", "probability": 0.9337158203125}, {"start": 3226.25, "end": 3226.81, "word": " واحد", "probability": 0.98046875}, {"start": 3226.81, "end": 3227.99, "word": " ال", "probability": 0.9189453125}, {"start": 3227.99, "end": 3228.39, "word": " set", "probability": 0.9765625}, {"start": 3228.39, "end": 3228.79, "word": " F", "probability": 0.92333984375}, {"start": 3228.79, "end": 3229.07, "word": " of", "probability": 0.98046875}, {"start": 3229.07, "end": 3229.53, "word": " I", "probability": 0.994140625}, {"start": 3229.53, "end": 3230.13, "word": " بتطلع", "probability": 0.90185546875}, {"start": 3230.13, "end": 3230.65, "word": " interval", "probability": 0.919921875}, {"start": 3230.65, "end": 3231.19, "word": " is", "probability": 0.84375}, {"start": 3231.19, "end": 3231.79, "word": " an", "probability": 0.79833984375}, {"start": 3231.79, "end": 3233.65, "word": " interval", "probability": 0.96142578125}], "temperature": 1.0}, {"id": 120, "seek": 325793, "start": 3236.67, "end": 3257.93, "text": "و هذا بيكمل النظرية اذا هذا بيكمل البرهان هيك بنكون خلصنا ال section خمسة تلاتة و باقي عننا section خمسة أربعة هناخده في المحاضرة الجاية نحاول نشوف زمنا نخلصه ولا لأ", "tokens": [2407, 23758, 4724, 1829, 24793, 1211, 28239, 19913, 2288, 10632, 1975, 15730, 23758, 4724, 1829, 24793, 1211, 2423, 26890, 3224, 7649, 39896, 4117, 44945, 30544, 16490, 1211, 9381, 8315, 2423, 3541, 16490, 2304, 3794, 3660, 6055, 1211, 9307, 3660, 4032, 4724, 995, 38436, 18871, 8315, 3541, 16490, 2304, 3794, 3660, 5551, 25513, 27884, 8032, 1863, 47283, 3215, 3224, 8978, 9673, 5016, 46958, 25720, 25724, 995, 10632, 8717, 5016, 995, 12610, 8717, 8592, 38688, 30767, 2304, 8315, 8717, 9778, 1211, 9381, 3224, 49429, 5296, 10721], "avg_logprob": -0.19779411414090325, "compression_ratio": 1.6923076923076923, "no_speech_prob": 0.0, "words": [{"start": 3236.67, "end": 3236.91, "word": "و", "probability": 0.98681640625}, {"start": 3236.91, "end": 3237.11, "word": " هذا", "probability": 0.77978515625}, {"start": 3237.11, "end": 3237.77, "word": " بيكمل", "probability": 0.9586181640625}, {"start": 3237.77, "end": 3238.37, "word": " النظرية", "probability": 0.72998046875}, {"start": 3238.37, "end": 3240.79, "word": " اذا", "probability": 0.233856201171875}, {"start": 3240.79, "end": 3241.23, "word": " هذا", "probability": 0.7890625}, {"start": 3241.23, "end": 3241.83, "word": " بيكمل", "probability": 0.9700927734375}, {"start": 3241.83, "end": 3242.69, "word": " البرهان", "probability": 0.9061279296875}, {"start": 3242.69, "end": 3243.57, "word": " هيك", "probability": 0.849853515625}, {"start": 3243.57, "end": 3244.01, "word": " بنكون", "probability": 0.949951171875}, {"start": 3244.01, "end": 3245.57, "word": " خلصنا", "probability": 0.9833984375}, {"start": 3245.57, "end": 3246.25, "word": " ال", "probability": 0.86376953125}, {"start": 3246.25, "end": 3246.61, "word": " section", "probability": 0.9189453125}, {"start": 3246.61, "end": 3247.17, "word": " خمسة", "probability": 0.951904296875}, {"start": 3247.17, "end": 3247.85, "word": " تلاتة", "probability": 0.9151611328125}, {"start": 3247.85, "end": 3249.09, "word": " و", "probability": 0.96435546875}, {"start": 3249.09, "end": 3250.31, "word": " باقي", "probability": 0.68994140625}, {"start": 3250.31, "end": 3250.63, "word": " عننا", "probability": 0.6572265625}, {"start": 3250.63, "end": 3251.11, "word": " section", "probability": 0.84033203125}, {"start": 3251.11, "end": 3252.85, "word": " خمسة", "probability": 0.9674072265625}, {"start": 3252.85, "end": 3253.17, "word": " أربعة", "probability": 0.6904296875}, {"start": 3253.17, "end": 3253.67, "word": " هناخده", "probability": 0.92490234375}, {"start": 3253.67, "end": 3253.77, "word": " في", "probability": 0.9111328125}, {"start": 3253.77, "end": 3254.27, "word": " المحاضرة", "probability": 0.979736328125}, {"start": 3254.27, "end": 3255.59, "word": " الجاية", "probability": 0.7799479166666666}, {"start": 3255.59, "end": 3256.19, "word": " نحاول", "probability": 0.86541748046875}, {"start": 3256.19, "end": 3256.49, "word": " نشوف", "probability": 0.9694010416666666}, {"start": 3256.49, "end": 3256.91, "word": " زمنا", "probability": 0.6673177083333334}, {"start": 3256.91, "end": 3257.53, "word": " نخلصه", "probability": 0.816357421875}, {"start": 3257.53, "end": 3257.67, "word": " ولا", "probability": 0.78662109375}, {"start": 3257.67, "end": 3257.93, "word": " لأ", "probability": 0.770751953125}], "temperature": 1.0}, {"id": 121, "seek": 326691, "start": 3259.35, "end": 3266.91, "text": "فال .. شكرا لحصن إصراعكم و يعطيكم العافية و نشوفكم ان شاء الله المرة الجاية", "tokens": [5172, 6027, 4386, 13412, 4117, 23557, 5296, 5016, 9381, 1863, 11933, 9381, 23557, 3615, 24793, 4032, 37495, 9566, 1829, 24793, 18863, 31845, 10632, 4032, 8717, 8592, 38688, 24793, 16472, 13412, 16606, 21984, 9673, 25720, 25724, 995, 10632], "avg_logprob": -0.2168996714447674, "compression_ratio": 1.3535353535353536, "no_speech_prob": 0.0, "words": [{"start": 3259.35, "end": 3260.15, "word": "فال", "probability": 0.958984375}, {"start": 3260.15, "end": 3260.53, "word": " ..", "probability": 0.47265625}, {"start": 3260.53, "end": 3261.09, "word": " شكرا", "probability": 0.9571940104166666}, {"start": 3261.09, "end": 3262.87, "word": " لحصن", "probability": 0.757568359375}, {"start": 3262.87, "end": 3263.69, "word": " إصراعكم", "probability": 0.721044921875}, {"start": 3263.69, "end": 3264.13, "word": " و", "probability": 0.97509765625}, {"start": 3264.13, "end": 3264.83, "word": " يعطيكم", "probability": 0.9300537109375}, {"start": 3264.83, "end": 3265.31, "word": " العافية", "probability": 0.9744466145833334}, {"start": 3265.31, "end": 3265.47, "word": " و", "probability": 0.41064453125}, {"start": 3265.47, "end": 3265.89, "word": " نشوفكم", "probability": 0.9462890625}, {"start": 3265.89, "end": 3266.03, "word": " ان", "probability": 0.71484375}, {"start": 3266.03, "end": 3266.17, "word": " شاء", "probability": 0.9921875}, {"start": 3266.17, "end": 3266.27, "word": " الله", "probability": 0.96484375}, {"start": 3266.27, "end": 3266.59, "word": " المرة", "probability": 0.85205078125}, {"start": 3266.59, "end": 3266.91, "word": " الجاية", "probability": 0.6692708333333334}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 3267.7675, "duration_after_vad": 2940.1022187499902}