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+{"segments": [{"id": 1, "seek": 4869, "start": 20.77, "end": 48.69, "text": "السلام عليكم بسم الله الرحمن الرحيم اليوم طبعا فينا لقائن اللقاء الأول هناخد فيه مناقشة زي ما .. زي ما احنا متعودين هنناقش اليوم section تلاتة أربعة و تلاتة خمسة فإذا في عندكم أي أسئلة معينة في section تلاتة أربعة", "tokens": [6027, 3794, 37440, 25894, 24793, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 45595, 20498, 23032, 3555, 3615, 995, 8978, 8315, 5296, 4587, 16373, 1863, 13672, 4587, 16606, 16247, 12610, 8032, 1863, 47283, 3215, 8978, 3224, 3714, 8315, 4587, 8592, 3660, 30767, 1829, 19446, 4386, 30767, 1829, 19446, 1975, 5016, 8315, 44650, 3615, 23328, 9957, 8032, 1863, 8315, 4587, 8592, 45595, 20498, 3541, 6055, 1211, 9307, 3660, 5551, 25513, 27884, 4032, 6055, 1211, 9307, 3660, 16490, 2304, 3794, 3660, 6156, 28814, 15730, 8978, 43242, 24793, 36632, 5551, 3794, 19986, 37977, 20449, 9957, 3660, 8978, 3541, 6055, 1211, 9307, 3660, 5551, 25513, 27884], "avg_logprob": -0.11741285842771713, 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13454, "start": 105.6, "end": 134.54, "text": "هذه السؤال تمانية D section تلاتة أربعة determine the following limits determine يعني حد دي أو أوج دي ال limit لل sequence اللي الحد العام تبعها", "tokens": [3224, 24192, 21136, 33604, 6027, 46811, 7649, 10632, 413, 3541, 6055, 1211, 9307, 3660, 5551, 25513, 27884, 6997, 264, 3480, 10406, 6997, 37495, 22653, 11331, 3215, 11778, 1829, 34051, 5551, 29245, 11778, 1829, 2423, 4948, 24976, 8310, 13672, 1829, 21542, 3215, 18863, 10943, 6055, 3555, 3615, 11296], "avg_logprob": -0.26123047682146233, "compression_ratio": 1.3733333333333333, "no_speech_prob": 0.0, "words": [{"start": 105.6, "end": 106.08, "word": "هذه", "probability": 0.7587890625}, {"start": 106.08, "end": 106.86, "word": " السؤال", "probability": 0.9069010416666666}, {"start": 106.86, "end": 109.66, "word": " تمانية", "probability": 0.8841145833333334}, {"start": 109.66, "end": 110.78, "word": " D", "probability": 0.362548828125}, {"start": 110.78, "end": 112.36, "word": " 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{"start": 367.19, "end": 377.71, "word": " سؤال", "probability": 0.6131795247395834}, {"start": 377.71, "end": 378.11, "word": " رقم", "probability": 0.9729817708333334}, {"start": 378.11, "end": 378.59, "word": " أربعة", "probability": 0.69970703125}, {"start": 378.59, "end": 379.05, "word": " سيكشن", "probability": 0.9369140625}, {"start": 379.05, "end": 379.43, "word": " تلاتة", "probability": 0.9864501953125}, {"start": 379.43, "end": 379.91, "word": " خمسة", "probability": 0.9918212890625}, {"start": 379.91, "end": 383.81, "word": " طيب", "probability": 0.84912109375}, {"start": 383.81, "end": 387.89, "word": " سؤال", "probability": 0.91259765625}, {"start": 387.89, "end": 388.57, "word": " أربعة", "probability": 0.8927408854166666}, {"start": 388.57, "end": 389.23, "word": " سيكشن", "probability": 0.97607421875}, {"start": 389.23, "end": 389.87, "word": " تلاتة", "probability": 0.9940185546875}, {"start": 389.87, "end": 390.47, "word": " خمسة", "probability": 0.98388671875}], "temperature": 1.0}, {"id": 14, "seek": 39775, "start": 391.53, "end": 397.75, "text": "السؤال هذا بتقول show directly from the definition", "tokens": [6027, 3794, 33604, 6027, 23758, 39894, 39648, 855, 3838, 490, 264, 7123], "avg_logprob": -0.23948316390697771, "compression_ratio": 0.8888888888888888, "no_speech_prob": 0.0, "words": [{"start": 391.53, "end": 392.23, "word": "السؤال", "probability": 0.9515380859375}, {"start": 392.23, "end": 392.65, "word": " هذا", "probability": 0.1920166015625}, {"start": 392.65, "end": 393.23, "word": " بتقول", "probability": 0.791259765625}, {"start": 393.23, "end": 393.71, "word": " show", "probability": 0.8837890625}, {"start": 393.71, "end": 394.63, "word": " directly", "probability": 0.92626953125}, {"start": 394.63, "end": 396.85, "word": " from", "probability": 0.8837890625}, {"start": 396.85, "end": 397.07, "word": " the", "probability": 0.91162109375}, {"start": 397.07, "end": 397.75, "word": " definition", "probability": 0.95654296875}], "temperature": 1.0}, {"id": 15, "seek": 44755, "start": 421.91, "end": 447.55, "text": "إذا XIN و YIN هم سيكونات كوشي هم سيكونات كوشي هم سيكونات كوشي هم سيكونات كوشي", "tokens": [28814, 15730, 1783, 1464, 4032, 398, 1464, 8032, 2304, 8608, 1829, 4117, 2407, 8315, 2655, 9122, 2407, 8592, 1829, 8032, 2304, 8608, 1829, 4117, 2407, 8315, 2655, 9122, 2407, 8592, 1829, 8032, 2304, 8608, 1829, 4117, 2407, 8315, 2655, 9122, 2407, 8592, 1829, 8032, 2304, 8608, 1829, 4117, 2407, 8315, 2655, 9122, 2407, 8592, 1829], "avg_logprob": -0.37611606397799086, "compression_ratio": 2.462962962962963, "no_speech_prob": 0.0, "words": [{"start": 421.91, "end": 422.49, "word": "إذا", "probability": 0.5657958984375}, {"start": 422.49, "end": 424.71, "word": " XIN", "probability": 0.29736328125}, {"start": 424.71, "end": 426.51, "word": " و", "probability": 0.9482421875}, {"start": 426.51, "end": 427.73, "word": " YIN", "probability": 0.760498046875}, {"start": 427.73, "end": 430.15, "word": " هم", 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0.9737548828125}], "temperature": 1.0}, {"id": 33, "seek": 95511, "start": 927.01, "end": 955.11, "text": "و بع��ين أخدت الأزواج هذه مع بعض و استخدمت ل triangle inequality ال absolute value ل مجموعة كبيرة أصغر من أوسع مجموعة absolute values فالان باستخدام لو سمينا المعادلة هاد ال star فباستخدام ال star", "tokens": [2407, 39182, 9957, 5551, 9778, 3215, 2655, 16247, 11622, 2407, 26108, 29538, 20449, 45030, 11242, 4032, 44713, 9778, 40448, 2655, 5296, 13369, 16970, 2423, 8236, 2158, 5296, 3714, 7435, 2304, 2407, 27884, 9122, 3555, 48923, 5551, 9381, 17082, 2288, 9154, 34051, 3794, 3615, 3714, 7435, 2304, 2407, 27884, 8236, 4190, 6156, 6027, 7649, 4724, 995, 14851, 9778, 3215, 10943, 45164, 8608, 2304, 1829, 8315, 9673, 3615, 18513, 37977, 8032, 18513, 2423, 3543, 6156, 3555, 995, 14851, 9778, 3215, 10943, 2423, 3543], "avg_logprob": -0.21684451910053812, "compression_ratio": 1.6117021276595744, "no_speech_prob": 0.0, "words": [{"start": 927.01, "end": 927.11, "word": "و", "probability": 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بساوي ال على two to n و هكذا و آخر حد هيكون ال over", "tokens": [6027, 39184, 8236, 2158, 29538, 4724, 3794, 995, 45865, 2423, 670, 732, 281, 297, 3175, 36764, 24401, 1392, 29538, 8717, 36178, 11296, 11778, 1829, 4032, 2423, 8236, 2158, 13672, 1829, 39182, 11296, 4724, 3794, 995, 45865, 2423, 15844, 732, 281, 297, 4032, 8032, 4117, 15730, 4032, 19753, 34740, 11331, 3215, 39896, 30544, 2423, 670], "avg_logprob": -0.2627840833230452, "compression_ratio": 1.4933333333333334, "no_speech_prob": 0.0, "words": [{"start": 957.42, "end": 957.74, "word": "الـ", "probability": 0.5125732421875}, {"start": 957.74, "end": 958.08, "word": " absolute", "probability": 0.62841796875}, {"start": 958.08, "end": 958.74, "word": " value", "probability": 0.99267578125}, {"start": 958.74, "end": 959.18, "word": " هذه", "probability": 0.4873046875}, {"start": 959.18, "end": 960.44, "word": " بساوي", "probability": 0.6380615234375}, {"start": 960.44, "end": 961.46, "word": " ال", "probability": 0.277099609375}, 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"probability": 0.8978515625}, {"start": 1080.97, "end": 1081.49, "word": " أصغر", "probability": 0.9752197265625}, {"start": 1081.49, "end": 1081.63, "word": " من", "probability": 0.9951171875}, {"start": 1081.63, "end": 1082.15, "word": " اتنين", "probability": 0.961181640625}, {"start": 1082.15, "end": 1082.69, "word": " إذا", "probability": 0.591552734375}, {"start": 1082.69, "end": 1083.09, "word": " هذا", "probability": 0.767578125}, {"start": 1083.09, "end": 1083.59, "word": " أصغر", "probability": 0.975830078125}, {"start": 1083.59, "end": 1083.83, "word": " من", "probability": 0.99609375}, {"start": 1083.83, "end": 1084.25, "word": " واحد", "probability": 0.951416015625}, {"start": 1084.25, "end": 1084.41, "word": " على", "probability": 0.5703125}, {"start": 1084.41, "end": 1084.73, "word": " اتنين", "probability": 0.9697265625}, {"start": 1084.73, "end": 1085.07, "word": " قص", "probability": 0.65625}, {"start": 1085.07, "end": 1085.47, "word": " ان", "probability": 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0.929443359375}, {"start": 1094.99, "end": 1095.33, "word": " ان", "probability": 0.93896484375}, {"start": 1095.33, "end": 1096.09, "word": " سالب", "probability": 0.9674479166666666}, {"start": 1096.09, "end": 1097.41, "word": " اتنين", "probability": 0.987548828125}], "temperature": 1.0}, {"id": 39, "seek": 111443, "start": 1108.77, "end": 1114.43, "text": "الان هذا بيروح للسفر as n tends to infinity", "tokens": [6027, 7649, 23758, 4724, 13546, 2407, 5016, 24976, 3794, 5172, 2288, 382, 297, 12258, 281, 13202], "avg_logprob": -0.35041360294117646, "compression_ratio": 0.8450704225352113, "no_speech_prob": 0.0, "words": [{"start": 1108.77, "end": 1109.77, "word": "الان", "probability": 0.4915771484375}, {"start": 1109.77, "end": 1110.17, "word": " هذا", "probability": 0.5205078125}, {"start": 1110.17, "end": 1110.79, "word": " بيروح", "probability": 0.877685546875}, {"start": 1110.79, "end": 1111.71, "word": " للسفر", "probability": 0.7608642578125}, {"start": 1111.71, "end": 1112.93, "word": " as", "probability": 0.8427734375}, {"start": 1112.93, "end": 1113.43, "word": " n", "probability": 0.4462890625}, {"start": 1113.43, "end": 1113.77, "word": " tends", "probability": 0.55029296875}, {"start": 1113.77, "end": 1113.93, "word": " to", "probability": 0.9306640625}, {"start": 1113.93, "end": 1114.43, "word": " infinity", "probability": 0.87255859375}], "temperature": 1.0}, {"id": 40, "seek": 113727, "start": 1115.39, "end": 1137.27, "text": "هو بالتالي ده بتطلع عندي أنا ال limit ل absolute xn minus xm as m as n tenths of infinity و طبعاً m تقول infinity تساوي سفر therefore ال sequence xn is Cauchy", "tokens": [3224, 2407, 20666, 2655, 6027, 1829, 11778, 3224, 39894, 9566, 1211, 3615, 18871, 16254, 41850, 2423, 4948, 5296, 8236, 2031, 77, 3175, 2031, 76, 382, 275, 382, 297, 2064, 32184, 295, 13202, 4032, 23032, 3555, 3615, 995, 14111, 275, 6055, 39648, 13202, 6055, 3794, 995, 45865, 8608, 5172, 2288, 4412, 2423, 8310, 2031, 77, 307, 7544, 625, 88], "avg_logprob": 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0.74658203125}, {"start": 1129.67, "end": 1130.17, "word": " تقول", "probability": 0.63818359375}, {"start": 1130.17, "end": 1130.89, "word": " infinity", "probability": 0.65185546875}, {"start": 1130.89, "end": 1131.79, "word": " تساوي", "probability": 0.638763427734375}, {"start": 1131.79, "end": 1132.37, "word": " سفر", "probability": 0.90283203125}, {"start": 1132.37, "end": 1133.31, "word": " therefore", "probability": 0.357421875}, {"start": 1133.31, "end": 1133.93, "word": " ال", "probability": 0.65576171875}, {"start": 1133.93, "end": 1134.49, "word": " sequence", "probability": 0.98681640625}, {"start": 1134.49, "end": 1135.41, "word": " xn", "probability": 0.913330078125}, {"start": 1135.41, "end": 1136.67, "word": " is", "probability": 0.900390625}, {"start": 1136.67, "end": 1137.27, "word": " Cauchy", "probability": 0.8834635416666666}], "temperature": 1.0}, {"id": 41, "seek": 115766, "start": 1142.5, "end": 1157.66, "text": "و بالتالي therefore by cauchy criterion by cauchy criterion x in convergence صح؟ say", "tokens": [2407, 20666, 2655, 6027, 1829, 4412, 538, 1335, 625, 88, 46691, 538, 1335, 625, 88, 46691, 2031, 294, 32181, 20328, 5016, 22807, 584], "avg_logprob": -0.3749999962747097, "compression_ratio": 1.1585365853658536, "no_speech_prob": 0.0, "words": [{"start": 1142.5, "end": 1142.76, "word": "و", "probability": 0.5078125}, {"start": 1142.76, "end": 1143.5, "word": " بالتالي", "probability": 0.877685546875}, {"start": 1143.5, "end": 1144.24, "word": " therefore", "probability": 0.2366943359375}, {"start": 1144.24, "end": 1145.56, "word": " by", "probability": 0.69287109375}, {"start": 1145.56, "end": 1146.14, "word": " cauchy", "probability": 0.7159016927083334}, {"start": 1146.14, "end": 1146.92, "word": " criterion", "probability": 0.93505859375}, {"start": 1146.92, "end": 1148.88, "word": " by", "probability": 0.66748046875}, {"start": 1148.88, "end": 1149.62, "word": " cauchy", "probability": 0.9259440104166666}, {"start": 1149.62, 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0.89853515625}, {"start": 1188.47, "end": 1189.73, "word": " هناك", "probability": 0.802734375}], "temperature": 1.0}, {"id": 43, "seek": 122694, "start": 1207.88, "end": 1226.94, "text": "to find x take limits of both sides", "tokens": [1353, 915, 2031, 747, 10406, 295, 1293, 4881], "avg_logprob": -0.2060546875, "compression_ratio": 0.813953488372093, "no_speech_prob": 0.0, "words": [{"start": 1207.8799999999999, "end": 1209.28, "word": "to", "probability": 0.64404296875}, {"start": 1209.28, "end": 1209.88, "word": " find", "probability": 0.947265625}, {"start": 1209.88, "end": 1213.02, "word": " x", "probability": 0.54296875}, {"start": 1213.02, "end": 1215.08, "word": " take", "probability": 0.61669921875}, {"start": 1215.08, "end": 1218.98, "word": " limits", "probability": 0.9794921875}, {"start": 1218.98, "end": 1223.96, "word": " of", "probability": 0.97900390625}, {"start": 1223.96, "end": 1226.3, "word": " both", "probability": 0.9208984375}, {"start": 1226.3, "end": 1226.94, "word": " sides", "probability": 0.9072265625}], "temperature": 1.0}, {"id": 44, "seek": 125980, "start": 1232.64, "end": 1259.8, "text": "في المعادلة هذه اللي هنا and then take limit of both sides in this equation to get انه limit", "tokens": [41185, 9673, 3615, 18513, 37977, 29538, 13672, 1829, 34105, 293, 550, 747, 4948, 295, 1293, 4881, 294, 341, 5367, 281, 483, 16472, 3224, 4948], "avg_logprob": -0.2157812547683716, "compression_ratio": 1.0849056603773586, "no_speech_prob": 0.0, "words": [{"start": 1232.6399999999999, "end": 1233.8, "word": "في", "probability": 0.6279296875}, {"start": 1233.8, "end": 1234.96, "word": " المعادلة", "probability": 0.8876953125}, {"start": 1234.96, "end": 1235.34, "word": " هذه", "probability": 0.79541015625}, {"start": 1235.34, "end": 1235.5, "word": " اللي", "probability": 0.771240234375}, {"start": 1235.5, "end": 1235.82, "word": " هنا", "probability": 0.9794921875}, {"start": 1235.82, "end": 1237.7, "word": " and", "probability": 0.3759765625}, 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directly that a bounded a bounded a bounded monotone a bounded monotone", "tokens": [2304, 8592, 8032, 2407, 3838, 300, 257, 37498, 257, 37498, 257, 37498, 1108, 310, 546, 257, 37498, 1108, 310, 546], "avg_logprob": -0.47805059523809523, "compression_ratio": 1.528301886792453, "no_speech_prob": 0.0, "words": [{"start": 1557.19, "end": 1557.29, "word": "مش", "probability": 0.2200927734375}, {"start": 1557.29, "end": 1557.59, "word": " هو", "probability": 0.35888671875}, {"start": 1557.59, "end": 1558.17, "word": " directly", "probability": 0.56298828125}, {"start": 1558.17, "end": 1565.59, "word": " that", "probability": 0.62060546875}, {"start": 1565.59, "end": 1568.45, "word": " a", "probability": 0.87548828125}, {"start": 1568.45, "end": 1569.01, "word": " bounded", "probability": 0.9697265625}, {"start": 1569.01, "end": 1572.55, "word": " a", "probability": 0.291015625}, {"start": 1572.55, "end": 1573.27, "word": " bounded", "probability": 0.9541015625}, {"start": 1573.27, "end": 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1679.7, "text": "Okay فالبرهان بسيط وسهل يعني ما هوش صعب proof since طبعا ال sequence خليني أسميها x in since ال sequence تبعتنا x in", "tokens": [8297, 6156, 6027, 26890, 3224, 7649, 4724, 3794, 1829, 9566, 46952, 3224, 1211, 37495, 22653, 19446, 31439, 8592, 20328, 3615, 3555, 8177, 1670, 23032, 3555, 3615, 995, 2423, 8310, 16490, 1211, 9957, 1829, 5551, 38251, 1829, 11296, 2031, 294, 1670, 2423, 8310, 6055, 3555, 34268, 8315, 2031, 294], "avg_logprob": -0.2037627551020408, "compression_ratio": 1.3, "no_speech_prob": 0.0, "words": [{"start": 1652.48, "end": 1652.92, "word": "Okay", "probability": 0.36328125}, {"start": 1652.92, "end": 1654.46, "word": " فالبرهان", "probability": 0.91787109375}, {"start": 1654.46, "end": 1655.04, "word": " بسيط", "probability": 0.99462890625}, {"start": 1655.04, "end": 1655.9, "word": " وسهل", "probability": 0.9734700520833334}, {"start": 1655.9, "end": 1656.28, "word": " يعني", "probability": 0.81640625}, {"start": 1656.28, "end": 1656.46, "word": " 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xn أصغر من أو ساوي xm لأن ال m أكبر من أو ساوي n و ال sequence تبعتي increasing و xm أصغر من أو ساوي ال u", "tokens": [2407, 3615, 1863, 16254, 2031, 77, 5551, 9381, 17082, 2288, 9154, 34051, 8608, 995, 45865, 2031, 76, 5296, 33456, 2423, 275, 5551, 4117, 26890, 9154, 34051, 8608, 995, 45865, 297, 4032, 2423, 8310, 6055, 3555, 3615, 31371, 5662, 4032, 2031, 76, 5551, 9381, 17082, 2288, 9154, 34051, 8608, 995, 45865, 2423, 344], "avg_logprob": -0.20504127358490565, "compression_ratio": 1.5135135135135136, "no_speech_prob": 0.0, "words": [{"start": 2082.19, "end": 2082.79, "word": "وعندي", "probability": 0.6016845703125}, {"start": 2082.79, "end": 2083.47, "word": " xn", "probability": 0.617431640625}, {"start": 2083.47, "end": 2084.13, "word": " أصغر", "probability": 0.95556640625}, {"start": 2084.13, "end": 2084.35, "word": " من", "probability": 0.958984375}, {"start": 2084.35, "end": 2084.57, "word": " أو", "probability": 0.9580078125}, {"start": 2084.57, "end": 2085.17, "word": " 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"text": "وهذا معناه ان absolute xn او xn minus xn اصغر من epsilon اصبت؟ صح؟ وهذا صحيح لكل M أكبر من أو ساوي M أكبر من أو ساوي capital M تمام؟ اذا بنقول هنا since", "tokens": [2407, 3224, 15730, 20449, 8315, 3224, 16472, 8236, 2031, 77, 1975, 2407, 2031, 77, 3175, 2031, 77, 1975, 9381, 17082, 2288, 9154, 17889, 1975, 9381, 3555, 2655, 22807, 20328, 5016, 22807, 37037, 15730, 20328, 5016, 1829, 5016, 5296, 28820, 376, 5551, 4117, 26890, 9154, 34051, 8608, 995, 45865, 376, 5551, 4117, 26890, 9154, 34051, 8608, 995, 45865, 4238, 376, 46811, 10943, 22807, 1975, 15730, 44945, 39648, 34105, 1670], "avg_logprob": -0.27377716700236004, "compression_ratio": 1.4743589743589745, "no_speech_prob": 0.0, "words": [{"start": 2168.37, "end": 2169.33, "word": "وهذا", "probability": 0.7887369791666666}, {"start": 2169.33, "end": 2170.15, "word": " معناه", "probability": 0.9124348958333334}, {"start": 2170.15, "end": 2170.41, "word": " ان", "probability": 0.57373046875}, {"start": 2170.41, "end": 2171.03, 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"word": " صحيح", "probability": 0.9959716796875}, {"start": 2185.13, "end": 2186.61, "word": " لكل", "probability": 0.965087890625}, {"start": 2186.61, "end": 2186.99, "word": " M", "probability": 0.55126953125}, {"start": 2186.99, "end": 2187.63, "word": " أكبر", "probability": 0.81005859375}, {"start": 2187.63, "end": 2187.87, "word": " من", "probability": 0.94873046875}, {"start": 2187.87, "end": 2188.11, "word": " أو", "probability": 0.8388671875}, {"start": 2188.11, "end": 2188.73, "word": " ساوي", "probability": 0.8790690104166666}, {"start": 2188.73, "end": 2189.05, "word": " M", "probability": 0.6103515625}, {"start": 2189.05, "end": 2189.61, "word": " أكبر", "probability": 0.9241536458333334}, {"start": 2189.61, "end": 2189.75, "word": " من", "probability": 0.99365234375}, {"start": 2189.75, "end": 2189.95, "word": " أو", "probability": 0.96337890625}, {"start": 2189.95, "end": 2190.43, "word": " ساوي", "probability": 0.97412109375}, {"start": 2190.43, "end": 2190.97, "word": " capital", "probability": 0.435546875}, {"start": 2190.97, "end": 2191.35, "word": " M", "probability": 0.94287109375}, {"start": 2191.35, "end": 2192.93, "word": " تمام؟", "probability": 0.73681640625}, {"start": 2192.93, "end": 2193.29, "word": " اذا", "probability": 0.6822509765625}, {"start": 2193.29, "end": 2193.77, "word": " بنقول", "probability": 0.6593017578125}, {"start": 2193.77, "end": 2194.03, "word": " هنا", "probability": 0.9892578125}, {"start": 2194.03, "end": 2194.55, "word": " since", "probability": 0.56494140625}], "temperature": 1.0}, {"id": 77, "seek": 221962, "start": 2196.14, "end": 2219.62, "text": "epsilon أكبر من السفر was arbitrary it follows بينتج من تعريف الكوشي sequence that sequence xm is cauchy", "tokens": [10653, 15754, 5551, 4117, 26890, 9154, 21136, 5172, 2288, 390, 23211, 309, 10002, 4724, 9957, 2655, 7435, 9154, 37279, 16572, 5172, 33251, 2407, 8592, 1829, 8310, 300, 8310, 2031, 76, 307, 1335, 625, 88], "avg_logprob": -0.29575893197740827, 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2270.92, "text": "في أي سؤال ت��ني section تلاتة خمسة أو تلاتة ستة لبعده الناس اللي بدرسوا", "tokens": [41185, 36632, 8608, 33604, 6027, 6055, 7649, 1829, 3541, 6055, 1211, 9307, 3660, 16490, 2304, 3794, 3660, 34051, 6055, 1211, 9307, 3660, 8608, 2655, 3660, 5296, 3555, 22488, 3224, 2423, 8315, 3794, 13672, 1829, 47525, 2288, 3794, 14407], "avg_logprob": -0.1219951915435302, "compression_ratio": 1.2323232323232323, "no_speech_prob": 0.0, "words": [{"start": 2252.98, "end": 2253.28, "word": "في", "probability": 0.83642578125}, {"start": 2253.28, "end": 2253.52, "word": " أي", "probability": 0.705078125}, {"start": 2253.52, "end": 2253.88, "word": " سؤال", "probability": 0.9925130208333334}, {"start": 2253.88, "end": 2254.3, "word": " تاني", "probability": 0.90673828125}, {"start": 2254.3, "end": 2254.62, "word": " section", "probability": 0.51513671875}, {"start": 2254.62, "end": 2255.14, "word": " تلاتة", "probability": 0.9010009765625}, {"start": 2255.14, "end": 2255.84, "word": " 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235294, "start": 2324.99, "end": 2352.95, "text": "السكتشن تلاتة ستة السؤال الرابع ترى بي establish establish the proper divergence of sequence", "tokens": [6027, 3794, 4117, 2655, 8592, 1863, 6055, 1211, 9307, 3660, 8608, 2655, 3660, 21136, 33604, 6027, 34892, 16758, 3615, 6055, 2288, 7578, 4724, 1829, 8327, 8327, 264, 2296, 47387, 295, 8310], "avg_logprob": -0.3659668015316129, "compression_ratio": 1.203883495145631, "no_speech_prob": 0.0, "words": [{"start": 2324.99, "end": 2325.57, "word": "السكتشن", "probability": 0.5915730794270834}, {"start": 2325.57, "end": 2326.13, "word": " تلاتة", "probability": 0.8104248046875}, {"start": 2326.13, "end": 2326.83, "word": " ستة", "probability": 0.90283203125}, {"start": 2326.83, "end": 2327.65, "word": " السؤال", "probability": 0.9694010416666666}, {"start": 2327.65, "end": 2328.43, "word": " الرابع", "probability": 0.9842122395833334}, {"start": 2328.43, "end": 2331.25, "word": " ترى", "probability": 0.43115234375}, {"start": 2331.25, 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2571.9, "end": 2572.74, "word": " xn", "probability": 0.8701171875}, {"start": 2572.74, "end": 2575.52, "word": " وهي", "probability": 0.59619140625}, {"start": 2575.52, "end": 2576.22, "word": " yn", "probability": 0.96875}, {"start": 2576.22, "end": 2578.88, "word": " وتعالى", "probability": 0.8064453125}, {"start": 2578.88, "end": 2579.28, "word": " نحسب", "probability": 0.9931640625}, {"start": 2579.28, "end": 2579.46, "word": " ال", "probability": 0.830078125}, {"start": 2579.46, "end": 2579.78, "word": " limit", "probability": 0.96923828125}], "temperature": 1.0}, {"id": 90, "seek": 261182, "start": 2588.2, "end": 2611.82, "text": "تعالى نحسب ال limit ل xn على yn as n tends to infinity بساوي ال limit ل n على الجذر n زي الواحد تقسيم", "tokens": [2655, 3615, 6027, 7578, 8717, 5016, 35457, 2423, 4948, 5296, 2031, 77, 15844, 17861, 382, 297, 12258, 281, 13202, 4724, 3794, 995, 45865, 2423, 4948, 5296, 297, 15844, 25724, 8848, 2288, 297, 30767, 1829, 2423, 14407, 24401, 6055, 4587, 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{"start": 2618.12, "end": 2618.62, "word": " واحد", "probability": 0.671630859375}, {"start": 2618.62, "end": 2618.82, "word": " على", "probability": 0.6435546875}, {"start": 2618.82, "end": 2619.22, "word": " جدر", "probability": 0.9697265625}, {"start": 2619.22, "end": 2619.36, "word": " ال", "probability": 0.763671875}, {"start": 2619.36, "end": 2619.56, "word": " N", "probability": 0.1707763671875}, {"start": 2619.56, "end": 2621.64, "word": " لما", "probability": 0.875244140625}, {"start": 2621.64, "end": 2622.0, "word": " N", "probability": 0.431884765625}, {"start": 2622.0, "end": 2622.32, "word": " تقول", "probability": 0.663818359375}, {"start": 2622.32, "end": 2622.54, "word": " ال", "probability": 0.6142578125}, {"start": 2622.54, "end": 2623.0, "word": " infinity", "probability": 0.68212890625}, {"start": 2623.0, "end": 2623.74, "word": " بيساوي", "probability": 0.749609375}, {"start": 2623.74, "end": 2624.24, "word": " limit", "probability": 0.517578125}, {"start": 2624.24, "end": 2627.84, "word": " لجدر", "probability": 0.872802734375}, {"start": 2627.84, "end": 2628.7, "word": " التربية", "probability": 0.777099609375}, {"start": 2628.7, "end": 2628.96, "word": " A", "probability": 0.51806640625}, {"start": 2628.96, "end": 2629.22, "word": " ل", "probability": 0.94140625}, {"start": 2629.22, "end": 2629.74, "word": " N", "probability": 0.861328125}, {"start": 2629.74, "end": 2630.12, "word": " على", "probability": 0.8564453125}, {"start": 2630.12, "end": 2630.54, "word": " N", "probability": 0.931640625}, {"start": 2630.54, "end": 2631.0, "word": " زي", "probability": 0.775146484375}, {"start": 2631.0, "end": 2631.56, "word": " واحد", "probability": 0.911376953125}, {"start": 2631.56, "end": 2635.0, "word": " مظبوط؟", "probability": 0.7171630859375}, {"start": 2635.0, "end": 2636.18, "word": " بندخل", "probability": 0.8583984375}, {"start": 2636.18, "end": 2636.3, "word": " ال", "probability": 0.79833984375}, {"start": 2636.3, "end": 2637.1, "word": " limit", "probability": 0.95751953125}, {"start": 2637.1, "end": 2637.64, "word": " جوه", "probability": 0.5585123697916666}, {"start": 2637.64, "end": 2638.28, "word": " فبقلع", "probability": 0.697021484375}, {"start": 2638.28, "end": 2638.88, "word": " واحد", "probability": 0.98974609375}, {"start": 2638.88, "end": 2640.0, "word": " اكبر", "probability": 0.8219401041666666}, {"start": 2640.0, "end": 2640.24, "word": " من", "probability": 0.99560546875}, {"start": 2640.24, "end": 2640.68, "word": " صفته", "probability": 0.91455078125}, {"start": 2640.68, "end": 2642.38, "word": " الان", "probability": 0.476318359375}, {"start": 2642.38, "end": 2642.96, "word": " since", "probability": 0.75830078125}], "temperature": 1.0}, {"id": 92, "seek": 267150, "start": 2645.24, "end": 2671.5, "text": "احنا اثبتنا ان ال series sigma او ال sequence since ال sequence ان الحد العام تبعها جدر ال n او since limit yn as n tends to infinity بالساوية limit جدر ال n as n tends to infinity بالساوية infinity we get", "tokens": [39319, 8315, 1975, 12984, 3555, 2655, 8315, 16472, 2423, 2638, 12771, 1975, 2407, 2423, 8310, 1670, 2423, 8310, 16472, 21542, 3215, 18863, 10943, 6055, 3555, 3615, 11296, 10874, 3215, 2288, 2423, 297, 1975, 2407, 1670, 4948, 17861, 382, 297, 12258, 281, 13202, 20666, 3794, 995, 2407, 10632, 4948, 10874, 3215, 2288, 2423, 297, 382, 297, 12258, 281, 13202, 20666, 3794, 995, 2407, 10632, 13202, 321, 483], "avg_logprob": -0.261660447761194, "compression_ratio": 1.8551724137931034, "no_speech_prob": 0.0, "words": [{"start": 2645.24, "end": 2645.62, "word": "احنا", "probability": 0.754150390625}, {"start": 2645.62, "end": 2646.22, "word": " اثبتنا", "probability": 0.88984375}, {"start": 2646.22, "end": 2646.6, "word": " ان", "probability": 0.88232421875}, {"start": 2646.6, "end": 2647.04, "word": " ال", "probability": 0.50048828125}, {"start": 2647.04, "end": 2647.4, "word": " series", "probability": 0.60107421875}, {"start": 2647.4, "end": 2648.08, 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0.9384765625}, {"start": 2664.6, "end": 2666.58, "word": " جدر", "probability": 0.9742838541666666}, {"start": 2666.58, "end": 2666.74, "word": " ال", "probability": 0.98046875}, {"start": 2666.74, "end": 2667.02, "word": " n", "probability": 0.90771484375}, {"start": 2667.02, "end": 2667.48, "word": " as", "probability": 0.943359375}, {"start": 2667.48, "end": 2667.78, "word": " n", "probability": 0.96337890625}, {"start": 2667.78, "end": 2668.02, "word": " tends", "probability": 0.74658203125}, {"start": 2668.02, "end": 2668.18, "word": " to", "probability": 0.95068359375}, {"start": 2668.18, "end": 2668.62, "word": " infinity", "probability": 0.9033203125}, {"start": 2668.62, "end": 2669.26, "word": " بالساوية", "probability": 0.9546875}, {"start": 2669.26, "end": 2669.88, "word": " infinity", "probability": 0.54833984375}, {"start": 2669.88, "end": 2671.1, "word": " we", "probability": 0.53662109375}, {"start": 2671.1, "end": 2671.5, "word": " get", "probability": 0.951171875}], 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comparison test from limit comparison test from limit comparison test from limit comparison test from limit comparison test from limit comparison test from limit comparison test from limit comparison test from limit comparison test from limit comparison test from limit comparison test from limit comparison test from limit comparison test from limit comparison test from limit comparison test from limit comparison test from limit comparison test from limit comparison test from limit comparison test from limit comparison test from limit comparison test from limit comparison test from limit comparison test", "tokens": [20579, 4948, 9660, 1500, 490, 4948, 9660, 1500, 490, 4948, 9660, 1500, 490, 4948, 9660, 1500, 490, 4948, 9660, 1500, 490, 4948, 9660, 1500, 490, 4948, 9660, 1500, 490, 4948, 9660, 1500, 490, 4948, 9660, 1500, 490, 4948, 9660, 1500, 490, 4948, 9660, 1500, 490, 4948, 9660, 1500, 490, 4948, 9660, 1500, 490, 4948, 9660, 1500, 490, 4948, 9660, 1500, 490, 4948, 9660, 1500, 490, 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