diff --git "a/PL9fwy3NUQKwZHPs6l8Fr-st-8cVJxmVek/WVOztu-xKaw_raw.json" "b/PL9fwy3NUQKwZHPs6l8Fr-st-8cVJxmVek/WVOztu-xKaw_raw.json"
new file mode 100644--- /dev/null
+++ "b/PL9fwy3NUQKwZHPs6l8Fr-st-8cVJxmVek/WVOztu-xKaw_raw.json"
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 4815, "start": 20.67, "end": 48.15, "text": "Okay اليوم هنراجع بس نظرية ال divergence theorem اللي أخدناها أخر مرة بس نسترجعها بسرعة ال divergence theorem عطلناها رقم 2.17 فالنظرية هذه بتقول", "tokens": [8297, 45595, 20498, 8032, 1863, 2288, 26108, 3615, 4724, 3794, 8717, 19913, 2288, 10632, 2423, 47387, 20904, 13672, 1829, 5551, 9778, 3215, 8315, 11296, 5551, 34740, 3714, 25720, 4724, 3794, 8717, 14851, 47341, 3615, 11296, 4724, 3794, 2288, 27884, 2423, 47387, 20904, 6225, 9566, 1211, 8315, 11296, 12602, 4587, 2304, 568, 13, 7773, 6156, 6027, 1863, 19913, 2288, 10632, 29538, 39894, 39648], "avg_logprob": -0.15773809145367335, "compression_ratio": 1.490066225165563, "no_speech_prob": 0.0, "words": [{"start": 20.67, "end": 21.17, "word": "Okay", "probability": 0.68603515625}, {"start": 21.17, "end": 21.73, "word": " اليوم", "probability": 0.88427734375}, {"start": 21.73, "end": 23.57, "word": " هنراجع", "probability": 0.82890625}, {"start": 23.57, "end": 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"probability": 0.72705078125}, {"start": 123.15, "end": 123.79, "word": " X", "probability": 0.98828125}, {"start": 123.79, "end": 125.51, "word": " أكبر", "probability": 0.9041341145833334}, {"start": 125.51, "end": 125.75, "word": " من", "probability": 0.9111328125}, {"start": 125.75, "end": 125.95, "word": " أو", "probability": 0.962890625}, {"start": 125.95, "end": 126.57, "word": " ساوي", "probability": 0.8992513020833334}, {"start": 126.57, "end": 127.51, "word": " Y0", "probability": 0.435791015625}, {"start": 127.51, "end": 128.09, "word": " لكل", "probability": 0.9716796875}, {"start": 128.09, "end": 128.55, "word": " M", "probability": 0.318359375}], "temperature": 1.0}, {"id": 5, "seek": 15949, "start": 133.97, "end": 159.49, "text": "و بدنا ناخد أنثى على النظرية هذه أخدناها المرة الفاتة مثال مثال التانى example consider", "tokens": [2407, 47525, 8315, 8717, 47283, 3215, 14739, 12984, 7578, 15844, 28239, 19913, 2288, 10632, 29538, 5551, 9778, 3215, 8315, 11296, 9673, 25720, 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"end": 257.22, "word": " show", "probability": 0.97119140625}, {"start": 257.22, "end": 260.18, "word": " أن", "probability": 0.43994140625}, {"start": 260.18, "end": 260.6, "word": " x", "probability": 0.59765625}, {"start": 260.6, "end": 260.92, "word": " in", "probability": 0.2283935546875}, {"start": 260.92, "end": 261.26, "word": " does", "probability": 0.84814453125}, {"start": 261.26, "end": 261.7, "word": " not", "probability": 0.95556640625}, {"start": 261.7, "end": 262.84, "word": " converge", "probability": 0.9814453125}, {"start": 262.84, "end": 263.04, "word": " ل", "probability": 0.93310546875}, {"start": 263.04, "end": 263.44, "word": " x", "probability": 0.478515625}, {"start": 263.44, "end": 264.6, "word": " for", "probability": 0.9365234375}, {"start": 264.6, "end": 265.14, "word": " any", "probability": 0.8955078125}, {"start": 265.14, "end": 269.72, "word": " x", "probability": 0.46923828125}, {"start": 269.72, "end": 270.62, "word": " ينتمي", "probability": 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طبيعي فردي فممكن نشيل absolute value وهذا العدد هذا العدد أكبر من NX سالب absolute X", "tokens": [3224, 15730, 6225, 3215, 3215, 3714, 29245, 3555, 23758, 6225, 3215, 3215, 23032, 21292, 3615, 1829, 37037, 15730, 6225, 3215, 3215, 23032, 21292, 3615, 1829, 6156, 2288, 16254, 6156, 2304, 43020, 8717, 8592, 26895, 8236, 2158, 37037, 15730, 18863, 3215, 3215, 23758, 18863, 3215, 3215, 5551, 4117, 26890, 9154, 426, 55, 8608, 6027, 3555, 8236, 1783], "avg_logprob": -0.14610746241452402, "compression_ratio": 1.6355932203389831, "no_speech_prob": 0.0, "words": [{"start": 547.04, "end": 547.4, "word": "هذا", "probability": 0.90771484375}, {"start": 547.4, "end": 547.72, "word": " عدد", "probability": 0.9586588541666666}, {"start": 547.72, "end": 548.26, "word": " موجب", "probability": 0.9537760416666666}, {"start": 548.26, "end": 548.58, "word": " هذا", "probability": 0.34521484375}, {"start": 548.58, "end": 548.86, "word": " عدد", "probability": 0.9908854166666666}, {"start": 548.86, "end": 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"end": 621.59, "word": " العام", "probability": 0.986328125}, {"start": 621.59, "end": 621.85, "word": " لل", "probability": 0.81640625}, {"start": 621.85, "end": 622.29, "word": " sequence", "probability": 0.87109375}, {"start": 622.29, "end": 622.89, "word": " هذه", "probability": 0.4189453125}, {"start": 622.89, "end": 623.95, "word": " و", "probability": 0.8125}, {"start": 623.95, "end": 624.11, "word": " ال", "probability": 0.6318359375}, {"start": 624.11, "end": 624.41, "word": " x", "probability": 0.7099609375}, {"start": 624.41, "end": 625.03, "word": " أكبر", "probability": 0.9664713541666666}, {"start": 625.03, "end": 625.27, "word": " من", "probability": 0.99560546875}, {"start": 625.27, "end": 626.35, "word": " y0", "probability": 0.890625}, {"start": 626.35, "end": 627.57, "word": " لكل", "probability": 0.975830078125}, {"start": 627.57, "end": 627.95, "word": " m", "probability": 0.4814453125}, {"start": 627.95, "end": 628.15, "word": " في", "probability": 0.64892578125}, {"start": 628.15, "end": 628.43, "word": " n", "probability": 0.896484375}], "temperature": 1.0}, {"id": 23, "seek": 65233, "start": 634.11, "end": 652.33, "text": "الـ divergence theorem الجزء التالت هيتحقق شروطه وبالتالي ال sequence x in does not converge to x", "tokens": [6027, 39184, 47387, 20904, 2423, 7435, 11622, 38207, 16712, 6027, 2655, 8032, 36081, 5016, 4587, 4587, 13412, 32887, 9566, 3224, 46599, 6027, 2655, 6027, 1829, 2423, 8310, 2031, 294, 775, 406, 41881, 281, 2031], "avg_logprob": -0.27187499148505073, "compression_ratio": 1.1891891891891893, "no_speech_prob": 0.0, "words": [{"start": 634.11, "end": 634.97, "word": "الـ", "probability": 0.38037109375}, {"start": 634.97, "end": 635.55, "word": " divergence", "probability": 0.818359375}, {"start": 635.55, "end": 638.23, "word": " theorem", "probability": 0.8486328125}, {"start": 638.23, "end": 640.51, "word": " الجزء", "probability": 0.7864990234375}, {"start": 640.51, "end": 641.19, "word": " التالت", "probability": 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"temperature": 1.0}, {"id": 24, "seek": 68489, "start": 656.67, "end": 684.89, "text": "بما أن x was arbitrary إذا الـ sequence x in does not converge لأي عدد حقيقي x وبالتالي divergent تمام؟ أنا هنا استخدمت ال divergence theorem في أثبات أن ال sequence هذه divergent لاحظوا أن ال sequence 1 على n هذه subsequence من x in وهذه convergent ل0", "tokens": [3555, 15042, 14739, 2031, 390, 23211, 11933, 15730, 2423, 39184, 8310, 2031, 294, 775, 406, 41881, 5296, 10721, 1829, 6225, 3215, 3215, 11331, 38436, 38436, 2031, 46599, 6027, 2655, 6027, 1829, 18558, 6930, 46811, 10943, 22807, 41850, 34105, 44713, 9778, 40448, 2655, 2423, 47387, 20904, 8978, 5551, 12984, 3555, 9307, 14739, 2423, 8310, 29538, 18558, 6930, 20193, 5016, 19913, 14407, 14739, 2423, 8310, 502, 15844, 297, 29538, 13924, 655, 9154, 2031, 294, 37037, 24192, 9652, 6930, 5296, 15], "avg_logprob": -0.2994462168669399, "compression_ratio": 1.6066350710900474, "no_speech_prob": 0.0, "words": [{"start": 656.67, "end": 657.11, "word": "بما", "probability": 0.902587890625}, {"start": 657.11, "end": 657.31, "word": " أن", "probability": 0.52490234375}, {"start": 657.31, "end": 657.63, "word": " x", "probability": 0.2037353515625}, {"start": 657.63, "end": 657.93, "word": " was", "probability": 0.5732421875}, {"start": 657.93, "end": 658.55, "word": " arbitrary", "probability": 0.6796875}, {"start": 658.55, "end": 658.83, "word": " إذا", "probability": 0.606201171875}, {"start": 658.83, "end": 658.97, "word": " الـ", "probability": 0.5643310546875}, {"start": 658.97, "end": 659.25, "word": " sequence", "probability": 0.64111328125}, {"start": 659.25, "end": 659.55, "word": " x", "probability": 0.8681640625}, {"start": 659.55, "end": 659.73, "word": " in", "probability": 0.403564453125}, {"start": 659.73, "end": 659.93, "word": " does", "probability": 0.6123046875}, {"start": 659.93, "end": 660.15, "word": " not", "probability": 0.9658203125}, {"start": 660.15, "end": 660.71, "word": " converge", "probability": 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هذه برضه subsequence N subsequence .. لما تكون الـ N فردية subsequence من X N وهذه is not convergent هذه ال limit بتاعها infinity طبعا؟ و هذا؟ في عيز سؤال؟", "tokens": [1211, 19452, 2423, 39184, 8310, 8717, 36178, 11296, 775, 406, 41881, 29538, 4724, 43042, 3224, 13924, 655, 426, 13924, 655, 4386, 5296, 15042, 6055, 30544, 2423, 39184, 426, 6156, 2288, 3215, 10632, 13924, 655, 9154, 1783, 426, 37037, 24192, 307, 406, 9652, 6930, 29538, 2423, 4948, 39894, 45761, 11296, 13202, 23032, 3555, 3615, 995, 22807, 4032, 23758, 22807, 8978, 6225, 1829, 11622, 8608, 33604, 6027, 22807], "avg_logprob": -0.3400186700607414, "compression_ratio": 1.502824858757062, "no_speech_prob": 0.0, "words": [{"start": 688.58, "end": 689.06, "word": "لكن", "probability": 0.7435302734375}, {"start": 689.06, "end": 689.2, "word": " الـ", "probability": 0.609130859375}, {"start": 689.2, "end": 689.58, "word": " sequence", "probability": 0.7353515625}, {"start": 689.58, "end": 690.32, "word": " نفسها", 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6055, 3555, 3615, 28239, 19913, 2288, 10632, 29538, 37893, 20328, 3615, 3555, 3714, 29245, 23328, 8978, 33251, 2655, 16758, 8032, 9778, 20292, 24793, 6055, 4587, 23557, 3224], "avg_logprob": -0.137904572433659, "compression_ratio": 1.388157894736842, "no_speech_prob": 0.0, "words": [{"start": 756.9100000000001, "end": 758.19, "word": "monotone", "probability": 0.6192220052083334}, {"start": 758.19, "end": 759.47, "word": " subsequence", "probability": 0.97216796875}, {"start": 759.47, "end": 761.33, "word": " كل", "probability": 0.61083984375}, {"start": 761.33, "end": 763.69, "word": " sequence", "probability": 0.86376953125}, {"start": 763.69, "end": 764.03, "word": " of", "probability": 0.859375}, {"start": 764.03, "end": 764.29, "word": " real", "probability": 0.96435546875}, {"start": 764.29, "end": 764.93, "word": " numbers", "probability": 0.83203125}, {"start": 764.93, "end": 765.95, "word": " ممكن", "probability": 0.969970703125}, {"start": 765.95, "end": 766.63, "word": " نستخلص", "probability": 0.96962890625}, {"start": 766.63, "end": 767.09, "word": " منها", "probability": 0.991455078125}, {"start": 767.09, "end": 768.91, "word": " monotone", "probability": 0.89208984375}, {"start": 768.91, "end": 770.69, "word": " subsequence", "probability": 0.99755859375}, {"start": 770.69, "end": 773.47, "word": " البرهان", "probability": 0.8338623046875}, {"start": 773.47, "end": 773.77, "word": " تبع", "probability": 0.8619791666666666}, {"start": 773.77, "end": 774.29, "word": " النظرية", "probability": 0.9375}, {"start": 774.29, "end": 774.67, "word": " هذه", "probability": 0.78125}, {"start": 774.67, "end": 775.07, "word": " مش", "probability": 0.96533203125}, {"start": 775.07, "end": 775.55, "word": " صعب", "probability": 0.9733072916666666}, {"start": 775.55, "end": 776.11, "word": " موجود", "probability": 0.9306640625}, {"start": 776.11, "end": 776.27, "word": " في", "probability": 0.94189453125}, {"start": 776.27, "end": 776.75, "word": " الكتاب", 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"word": " في", "probability": 0.9443359375}, {"start": 822.06, "end": 822.6, "word": " البرهان", "probability": 0.97265625}, {"start": 822.6, "end": 826.28, "word": " okay", "probability": 0.7158203125}, {"start": 826.28, "end": 829.68, "word": " في", "probability": 0.5458984375}, {"start": 829.68, "end": 830.52, "word": " نظرية", "probability": 0.986328125}, {"start": 830.52, "end": 831.32, "word": " تانية", "probability": 0.9939778645833334}], "temperature": 1.0}, {"id": 30, "seek": 86654, "start": 840.88, "end": 866.54, "text": "Bolzano-Weierstrass theorem رقم اتنين تسعتاش النظرية هذه بتقول every bounded sequence every bounded", "tokens": [33, 401, 89, 3730, 12, 4360, 811, 9733, 640, 20904, 12602, 4587, 2304, 1975, 2655, 1863, 9957, 6055, 3794, 34268, 33599, 28239, 19913, 2288, 10632, 29538, 39894, 39648, 633, 37498, 8310, 633, 37498], "avg_logprob": -0.3138786808532827, "compression_ratio": 1.0666666666666667, "no_speech_prob": 0.0, "words": [{"start": 840.88, "end": 842.28, 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"word": " every", "probability": 0.61181640625}, {"start": 863.98, "end": 866.54, "word": " bounded", "probability": 0.93212890625}], "temperature": 1.0}, {"id": 31, "seek": 88850, "start": 868.92, "end": 888.5, "text": "سيكوينس of real numbers in R has a convergent subsequence", "tokens": [3794, 1829, 4117, 2407, 9957, 3794, 295, 957, 3547, 294, 497, 575, 257, 9652, 6930, 13924, 655], "avg_logprob": -0.4242621527777778, "compression_ratio": 0.9014084507042254, "no_speech_prob": 0.0, "words": [{"start": 868.9200000000001, "end": 870.32, "word": "سيكوينس", "probability": 0.6212056477864584}, {"start": 870.32, "end": 871.72, "word": " of", "probability": 0.1715087890625}, {"start": 871.72, "end": 874.8, "word": " real", "probability": 0.931640625}, {"start": 874.8, "end": 875.46, "word": " numbers", "probability": 0.822265625}, {"start": 875.46, "end": 875.8, "word": " in", "probability": 0.8193359375}, {"start": 875.8, "end": 876.22, "word": " R", "probability": 0.9423828125}, {"start": 876.22, "end": 878.86, "word": " has", "probability": 0.78515625}, {"start": 878.86, "end": 881.98, "word": " a", "probability": 0.4814453125}, {"start": 881.98, "end": 882.96, "word": " convergent", "probability": 0.92138671875}, {"start": 882.96, "end": 888.5, "word": " subsequence", "probability": 0.8486328125}], "temperature": 1.0}, {"id": 32, "seek": 91784, "start": 893.72, "end": 917.84, "text": "لو فى عندي bounded sequence of real numbers فبقدر أجى جواتها conversion subsequence البرهان تبع نظريها دى سهل باستخدام نظريات السابقة فى لها برهانين واحد short يعني قصير يعتمد على النظريات الكبيرة اللى برهنها سابقا وفى لها برهان", "tokens": [1211, 2407, 6156, 7578, 18871, 16254, 37498, 8310, 295, 957, 3547, 6156, 3555, 28543, 2288, 5551, 7435, 7578, 10874, 14407, 2655, 11296, 14298, 13924, 655, 2423, 26890, 3224, 7649, 6055, 3555, 3615, 8717, 19913, 16572, 11296, 11778, 7578, 8608, 3224, 1211, 4724, 995, 14851, 9778, 3215, 10943, 8717, 19913, 16572, 9307, 21136, 16758, 28671, 6156, 7578, 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المونوتون", "tokens": [9000, 3563, 366, 37498, 8310, 295, 957, 3547, 538, 11331, 35457, 28239, 19913, 2288, 10632, 16247, 9778, 48923, 12602, 4587, 2304, 46811, 7649, 2655, 33599, 538, 20904, 46811, 7649, 2655, 33599, 9673, 11536, 35473, 11536], "avg_logprob": -0.2730034622881148, "compression_ratio": 1.2142857142857142, "no_speech_prob": 0.0, "words": [{"start": 950.47, "end": 951.31, "word": "contained", "probability": 0.58984375}, {"start": 951.31, "end": 951.99, "word": " are", "probability": 0.365966796875}, {"start": 951.99, "end": 954.67, "word": " bounded", "probability": 0.17822265625}, {"start": 954.67, "end": 958.91, "word": " sequence", "probability": 0.384033203125}, {"start": 958.91, "end": 960.17, "word": " of", "probability": 0.92041015625}, {"start": 960.17, "end": 960.45, "word": " real", "probability": 0.966796875}, {"start": 960.45, "end": 961.35, "word": " numbers", "probability": 0.8623046875}, {"start": 961.35, "end": 965.11, "word": " by", "probability": 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subsequence", "tokens": [3555, 2655, 39648, 36632, 8310, 294, 497, 8608, 2407, 16606, 37498, 34051, 517, 18767, 292, 633, 8310, 295, 957, 3547, 575, 257, 1108, 310, 546, 13924, 655, 11933, 15730, 2423, 1783, 45, 575, 257, 1108, 310, 546, 13924, 655], "avg_logprob": -0.3169921763241291, "compression_ratio": 1.3416666666666666, "no_speech_prob": 0.0, "words": [{"start": 982.58, "end": 983.74, "word": "بتقول", "probability": 0.6314697265625}, {"start": 983.74, "end": 984.14, "word": " أي", "probability": 0.71142578125}, {"start": 984.14, "end": 985.7, "word": " sequence", "probability": 0.51513671875}, {"start": 985.7, "end": 986.36, "word": " in", "probability": 0.460693359375}, {"start": 986.36, "end": 986.76, "word": " R", "probability": 0.95458984375}, {"start": 986.76, "end": 987.82, "word": " سواء", "probability": 0.8984375}, {"start": 987.82, "end": 988.26, "word": " bounded", "probability": 0.87841796875}, {"start": 988.26, "end": 988.5, "word": " أو", "probability": 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أي sub sequence من bounded sequence is bounded مظبوط صح لأن x in bounded", "tokens": [87, 294, 350, 307, 611, 37498, 36632, 1422, 8310, 9154, 37498, 8310, 307, 37498, 3714, 19913, 3555, 2407, 9566, 20328, 5016, 5296, 33456, 2031, 294, 37498], "avg_logprob": -0.33940971118432506, "compression_ratio": 1.211111111111111, "no_speech_prob": 0.0, "words": [{"start": 1043.04, "end": 1043.62, "word": "x", "probability": 0.0953369140625}, {"start": 1043.62, "end": 1044.3, "word": " in", "probability": 0.53515625}, {"start": 1044.3, "end": 1045.0, "word": " k", "probability": 0.845703125}, {"start": 1045.0, "end": 1045.9, "word": " is", "probability": 0.79638671875}, {"start": 1045.9, "end": 1047.6, "word": " also", "probability": 0.76220703125}, {"start": 1047.6, "end": 1048.82, "word": " bounded", "probability": 0.9443359375}, {"start": 1048.82, "end": 1052.96, "word": " أي", "probability": 0.568359375}, {"start": 1052.96, "end": 1053.28, "word": " sub", "probability": 0.341552734375}, 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"temperature": 1.0}, {"id": 38, "seek": 109350, "start": 1066.08, "end": 1093.5, "text": "بقدّي ان يوجد M عدد موجب بحيث ان absolute xn أصغر من أو ساوي M لكل N طب ما هذا بقدّي ان absolute xnk أيضا أصغر من أو ساوي M لكل N لأن ال subsequence xnk هي subset من xn", "tokens": [3555, 28543, 11703, 1829, 16472, 7251, 29245, 3215, 376, 6225, 3215, 3215, 3714, 29245, 3555, 4724, 5016, 1829, 12984, 16472, 8236, 2031, 77, 5551, 9381, 17082, 2288, 9154, 34051, 8608, 995, 45865, 376, 5296, 28820, 426, 23032, 3555, 19446, 23758, 4724, 28543, 11703, 1829, 16472, 8236, 2031, 77, 74, 36632, 11242, 995, 5551, 9381, 17082, 2288, 9154, 34051, 8608, 995, 45865, 376, 5296, 28820, 426, 5296, 33456, 2423, 13924, 655, 2031, 77, 74, 39896, 25993, 9154, 2031, 77], "avg_logprob": -0.24525316832940788, "compression_ratio": 1.5961538461538463, "no_speech_prob": 0.0, "words": [{"start": 1066.08, "end": 1066.78, "word": "بقدّي", "probability": 0.572906494140625}, {"start": 1066.78, "end": 1066.92, "word": " ان", 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"probability": 0.96435546875}, {"start": 1083.74, "end": 1083.94, "word": " من", "probability": 0.9921875}, {"start": 1083.94, "end": 1084.16, "word": " أو", "probability": 0.95068359375}, {"start": 1084.16, "end": 1084.66, "word": " ساوي", "probability": 0.9498697916666666}, {"start": 1084.66, "end": 1084.94, "word": " M", "probability": 0.99072265625}, {"start": 1084.94, "end": 1085.42, "word": " لكل", "probability": 0.990966796875}, {"start": 1085.42, "end": 1085.82, "word": " N", "probability": 0.93896484375}, {"start": 1085.82, "end": 1087.32, "word": " لأن", "probability": 0.807861328125}, {"start": 1087.32, "end": 1088.2, "word": " ال", "probability": 0.373291015625}, {"start": 1088.2, "end": 1090.38, "word": " subsequence", "probability": 0.6732177734375}, {"start": 1090.38, "end": 1091.54, "word": " xnk", "probability": 0.9225260416666666}, {"start": 1091.54, "end": 1091.92, "word": " هي", "probability": 0.379638671875}, {"start": 1091.92, "end": 1092.54, "word": " subset", "probability": 0.9228515625}, {"start": 1092.54, "end": 1092.84, "word": " من", "probability": 0.96484375}, {"start": 1092.84, "end": 1093.5, "word": " xn", "probability": 0.883056640625}], "temperature": 1.0}, {"id": 39, "seek": 111783, "start": 1096.25, "end": 1117.83, "text": "مظبوط؟ كل حد في ال subsequence هو حد في ال sequence وبالتالي تحقق نفس الشرط لأن هذا بيقدي ان كل .. هذا صحيح لكل K لأن هاي .. هذا الشرط منه بيطلع X ان K is bounded", "tokens": [2304, 19913, 3555, 2407, 9566, 22807, 28242, 11331, 3215, 8978, 2423, 13924, 655, 31439, 11331, 3215, 8978, 2423, 8310, 46599, 6027, 2655, 6027, 1829, 6055, 5016, 4587, 4587, 8717, 36178, 25124, 2288, 9566, 5296, 33456, 23758, 4724, 1829, 4587, 16254, 16472, 28242, 4386, 23758, 20328, 5016, 1829, 5016, 5296, 28820, 591, 5296, 33456, 8032, 47302, 4386, 23758, 25124, 2288, 9566, 9154, 3224, 4724, 1829, 9566, 1211, 3615, 1783, 16472, 591, 307, 37498], "avg_logprob": -0.2555650782911745, "compression_ratio": 1.5426829268292683, 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وبالتالي", "probability": 0.880126953125}, {"start": 1102.03, "end": 1102.51, "word": " تحقق", "probability": 0.855224609375}, {"start": 1102.51, "end": 1102.79, "word": " نفس", "probability": 0.996337890625}, {"start": 1102.79, "end": 1103.35, "word": " الشرط", "probability": 0.9451497395833334}, {"start": 1103.35, "end": 1105.01, "word": " لأن", "probability": 0.4473876953125}, {"start": 1105.01, "end": 1105.27, "word": " هذا", "probability": 0.884765625}, {"start": 1105.27, "end": 1105.83, "word": " بيقدي", "probability": 0.58587646484375}, {"start": 1105.83, "end": 1106.37, "word": " ان", "probability": 0.46875}, {"start": 1106.37, "end": 1106.83, "word": " كل", "probability": 0.68896484375}, {"start": 1106.83, "end": 1106.87, "word": " ..", "probability": 0.433837890625}, {"start": 1106.87, "end": 1107.11, "word": " هذا", "probability": 0.83544921875}, {"start": 1107.11, "end": 1107.53, "word": " صحيح", "probability": 0.996826171875}, {"start": 1107.53, "end": 1108.17, "word": " لكل", "probability": 0.9453125}, {"start": 1108.17, "end": 1108.67, "word": " K", "probability": 0.449462890625}, {"start": 1108.67, "end": 1111.49, "word": " لأن", "probability": 0.798828125}, {"start": 1111.49, "end": 1111.83, "word": " هاي", "probability": 0.59033203125}, {"start": 1111.83, "end": 1112.21, "word": " ..", "probability": 0.869140625}, {"start": 1112.21, "end": 1112.53, "word": " هذا", "probability": 0.74072265625}, {"start": 1112.53, "end": 1113.55, "word": " الشرط", "probability": 0.8763020833333334}, {"start": 1113.55, "end": 1114.19, "word": " منه", "probability": 0.83837890625}, {"start": 1114.19, "end": 1115.39, "word": " بيطلع", "probability": 0.89794921875}, {"start": 1115.39, "end": 1115.75, "word": " X", "probability": 0.5869140625}, {"start": 1115.75, "end": 1116.21, "word": " ان", "probability": 0.55859375}, {"start": 1116.21, "end": 1116.81, "word": " K", "probability": 0.82373046875}, {"start": 1116.81, "end": 1117.37, "word": " is", "probability": 0.9482421875}, {"start": 1117.37, "end": 1117.83, "word": " bounded", "probability": 0.9658203125}], "temperature": 1.0}, {"id": 40, "seek": 114598, "start": 1120.52, "end": 1145.98, "text": "Okay إذا أنا كتب برهان أنه أي subsequence من bounded sequence is bounded تمام Now ال subsequence x in k is monotone and bounded", "tokens": [8297, 11933, 15730, 41850, 9122, 2655, 3555, 4724, 2288, 3224, 7649, 14739, 3224, 36632, 13924, 655, 9154, 37498, 8310, 307, 37498, 46811, 10943, 823, 2423, 13924, 655, 2031, 294, 350, 307, 1108, 310, 546, 293, 37498], "avg_logprob": -0.2958192664223748, "compression_ratio": 1.2941176470588236, "no_speech_prob": 0.0, "words": [{"start": 1120.52, "end": 1120.98, "word": "Okay", "probability": 0.5244140625}, {"start": 1120.98, "end": 1121.34, "word": " إذا", "probability": 0.52276611328125}, {"start": 1121.34, "end": 1121.66, "word": " أنا", "probability": 0.5517578125}, {"start": 1121.66, "end": 1122.34, "word": " كتب", "probability": 0.7584635416666666}, {"start": 1122.34, "end": 1122.72, "word": " برهان", "probability": 0.83935546875}, {"start": 1122.72, "end": 1123.48, "word": " أنه", "probability": 0.700927734375}, {"start": 1123.48, "end": 1123.9, "word": " أي", "probability": 0.8408203125}, {"start": 1123.9, "end": 1124.72, "word": " subsequence", "probability": 0.870849609375}, {"start": 1124.72, "end": 1124.94, "word": " من", "probability": 0.99072265625}, {"start": 1124.94, "end": 1125.44, "word": " bounded", "probability": 0.8544921875}, {"start": 1125.44, "end": 1125.84, "word": " sequence", "probability": 0.90087890625}, {"start": 1125.84, "end": 1126.24, "word": " is", "probability": 0.921875}, {"start": 1126.24, "end": 1126.74, "word": " bounded", "probability": 0.94921875}, {"start": 1126.74, "end": 1128.7, "word": " تمام", "probability": 0.932373046875}, {"start": 1128.7, "end": 1130.5, "word": " Now", "probability": 0.30615234375}, {"start": 1130.5, "end": 1134.9, "word": " ال", "probability": 0.482177734375}, {"start": 1134.9, "end": 1135.74, "word": " subsequence", "probability": 0.984619140625}, {"start": 1135.74, "end": 1136.16, "word": " x", "probability": 0.55908203125}, {"start": 1136.16, "end": 1136.74, "word": " in", "probability": 0.8701171875}, {"start": 1136.74, "end": 1137.3, "word": " k", "probability": 0.6357421875}, {"start": 1137.3, "end": 1138.92, "word": " is", "probability": 0.912109375}, {"start": 1138.92, "end": 1141.98, "word": " monotone", "probability": 0.8121744791666666}, {"start": 1141.98, "end": 1145.42, "word": " and", "probability": 0.93115234375}, {"start": 1145.42, "end": 1145.98, "word": " bounded", "probability": 0.93408203125}], "temperature": 1.0}, {"id": 41, "seek": 116096, "start": 1150.7, "end": 1160.96, "text": "So by monotone convergence theorem حسب الـ monotone convergence theorem it is convergent", "tokens": [6455, 538, 1108, 310, 546, 32181, 20904, 11331, 35457, 2423, 39184, 1108, 310, 546, 32181, 20904, 309, 307, 9652, 6930], "avg_logprob": 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"probability": 0.71875}, {"start": 1159.8, "end": 1160.08, "word": " is", "probability": 0.96630859375}, {"start": 1160.08, "end": 1160.96, "word": " convergent", "probability": 0.890625}], "temperature": 1.0}, {"id": 42, "seek": 119245, "start": 1166.31, "end": 1192.45, "text": "ما هو المطلوب؟ لأن هنا أثبتنا أنه أي sequence أي sequence which is bounded أي sequence of real numbers which is bounded has a convergent subsequence تمام؟ لأن هذا برهن النظرية تمام؟ واضح؟ في طبعا برهان تاني", "tokens": [15042, 31439, 9673, 9566, 1211, 37746, 22807, 5296, 33456, 34105, 5551, 12984, 3555, 2655, 8315, 14739, 3224, 36632, 8310, 36632, 8310, 597, 307, 37498, 36632, 8310, 295, 957, 3547, 597, 307, 37498, 575, 257, 9652, 6930, 13924, 655, 46811, 10943, 22807, 5296, 33456, 23758, 4724, 2288, 3224, 1863, 28239, 19913, 2288, 10632, 46811, 10943, 22807, 4032, 46958, 5016, 22807, 8978, 23032, 3555, 3615, 995, 4724, 2288, 3224, 7649, 6055, 7649, 1829], "avg_logprob": -0.18174912904699644, "compression_ratio": 1.625, "no_speech_prob": 0.0, "words": [{"start": 1166.31, "end": 1166.59, "word": "ما", "probability": 0.72802734375}, {"start": 1166.59, "end": 1166.71, "word": " هو", "probability": 0.93994140625}, {"start": 1166.71, "end": 1168.39, "word": " المطلوب؟", "probability": 0.83388671875}, {"start": 1168.39, "end": 1168.83, "word": " لأن", "probability": 0.377197265625}, {"start": 1168.83, "end": 1169.05, "word": " هنا", "probability": 0.403564453125}, {"start": 1169.05, "end": 1169.71, "word": " أثبتنا", "probability": 0.9744140625}, {"start": 1169.71, "end": 1170.77, "word": " أنه", "probability": 0.667724609375}, {"start": 1170.77, "end": 1172.21, "word": " أي", "probability": 0.70068359375}, {"start": 1172.21, "end": 1173.43, "word": " sequence", "probability": 0.740234375}, {"start": 1173.43, "end": 1174.31, "word": " أي", "probability": 0.35595703125}, {"start": 1174.31, "end": 1175.35, "word": " sequence", "probability": 0.92138671875}, {"start": 1175.35, "end": 1175.67, "word": " which", "probability": 0.68115234375}, {"start": 1175.67, "end": 1175.95, "word": " is", "probability": 0.9638671875}, {"start": 1175.95, "end": 1176.39, "word": " bounded", "probability": 0.93505859375}, {"start": 1176.39, "end": 1176.63, "word": " أي", "probability": 0.62890625}, {"start": 1176.63, "end": 1176.97, "word": " sequence", "probability": 0.85009765625}, {"start": 1176.97, "end": 1177.27, "word": " of", "probability": 0.93994140625}, {"start": 1177.27, "end": 1177.51, "word": " real", "probability": 0.96435546875}, {"start": 1177.51, "end": 1177.91, "word": " numbers", "probability": 0.7412109375}, {"start": 1177.91, "end": 1178.13, "word": " which", "probability": 0.91357421875}, {"start": 1178.13, "end": 1178.33, "word": " is", "probability": 0.96435546875}, {"start": 1178.33, "end": 1178.77, "word": " bounded", "probability": 0.93896484375}, {"start": 1178.77, "end": 1179.91, "word": " has", "probability": 0.75830078125}, {"start": 1179.91, "end": 1180.73, "word": " a", "probability": 0.96630859375}, {"start": 1180.73, "end": 1181.69, "word": " convergent", "probability": 0.96337890625}, {"start": 1181.69, "end": 1182.99, "word": " subsequence", "probability": 0.986572265625}, {"start": 1182.99, "end": 1184.65, "word": " تمام؟", "probability": 0.8118489583333334}, {"start": 1184.65, "end": 1184.89, "word": " لأن", "probability": 0.887451171875}, {"start": 1184.89, "end": 1185.13, "word": " هذا", "probability": 0.95703125}, {"start": 1185.13, "end": 1185.67, "word": " برهن", "probability": 0.946533203125}, {"start": 1185.67, "end": 1186.39, "word": " النظرية", "probability": 0.947998046875}, {"start": 1186.39, "end": 1188.17, "word": " تمام؟", "probability": 0.86962890625}, {"start": 1188.17, "end": 1190.49, "word": " واضح؟", "probability": 0.9649658203125}, {"start": 1190.49, "end": 1191.11, "word": " في", "probability": 0.78662109375}, {"start": 1191.11, "end": 1191.51, "word": " طبعا", "probability": 0.8731689453125}, {"start": 1191.51, "end": 1191.97, "word": " برهان", "probability": 0.9471435546875}, {"start": 1191.97, "end": 1192.45, "word": " تاني", "probability": 0.96923828125}], "temperature": 1.0}, {"id": 43, "seek": 121763, "start": 1194.21, "end": 1217.63, "text": "و هذا البرهان موجود في الكتاب ان البرهان رقم اتنين proof رقم اتنين موجود في الكتاب see page 79 in textbook", "tokens": [2407, 23758, 2423, 26890, 3224, 7649, 3714, 29245, 23328, 8978, 33251, 2655, 16758, 16472, 2423, 26890, 3224, 7649, 12602, 4587, 2304, 1975, 2655, 1863, 9957, 8177, 12602, 4587, 2304, 1975, 2655, 1863, 9957, 3714, 29245, 23328, 8978, 33251, 2655, 16758, 536, 3028, 32803, 294, 25591], "avg_logprob": -0.11616847680314728, "compression_ratio": 1.5135135135135136, "no_speech_prob": 0.0, "words": [{"start": 1194.21, "end": 1194.53, "word": "و", "probability": 0.978515625}, {"start": 1194.53, "end": 1194.89, "word": " هذا", "probability": 0.83544921875}, {"start": 1194.89, "end": 1195.53, "word": " البرهان", 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في", "probability": 0.9765625}, {"start": 1209.01, "end": 1209.61, "word": " الكتاب", "probability": 0.9892578125}, {"start": 1209.61, "end": 1211.85, "word": " see", "probability": 0.51123046875}, {"start": 1211.85, "end": 1212.65, "word": " page", "probability": 0.95068359375}, {"start": 1212.65, "end": 1216.13, "word": " 79", "probability": 0.32568359375}, {"start": 1216.13, "end": 1216.73, "word": " in", "probability": 0.8818359375}, {"start": 1216.73, "end": 1217.63, "word": " textbook", "probability": 0.787109375}], "temperature": 1.0}, {"id": 44, "seek": 124303, "start": 1223.25, "end": 1243.03, "text": "إذا أنا هنسيبكم تقرأوا البرهان التاني من الكتاب طبعا البرهان هذا هيكون constructive proof بيورجيكم كيف بيبني ال subsequence خطوة خطوة و بحيث انها تطلع convergent طيب في كمال نظرية في هذا السياق", "tokens": [28814, 15730, 41850, 8032, 1863, 3794, 1829, 3555, 24793, 6055, 4587, 2288, 10721, 14407, 2423, 26890, 3224, 7649, 16712, 7649, 1829, 9154, 33251, 2655, 16758, 23032, 3555, 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" ال", "probability": 0.94677734375}, {"start": 1232.17, "end": 1233.07, "word": " subsequence", "probability": 0.77490234375}, {"start": 1233.07, "end": 1233.81, "word": " خطوة", "probability": 0.9884033203125}, {"start": 1233.81, "end": 1234.41, "word": " خطوة", "probability": 0.98583984375}, {"start": 1234.41, "end": 1235.37, "word": " و", "probability": 0.5947265625}, {"start": 1235.37, "end": 1235.93, "word": " بحيث", "probability": 0.93994140625}, {"start": 1235.93, "end": 1236.09, "word": " انها", "probability": 0.5726318359375}, {"start": 1236.09, "end": 1236.53, "word": " تطلع", "probability": 0.987060546875}, {"start": 1236.53, "end": 1237.29, "word": " convergent", "probability": 0.822265625}, {"start": 1237.29, "end": 1240.27, "word": " طيب", "probability": 0.9532877604166666}, {"start": 1240.27, "end": 1240.59, "word": " في", "probability": 0.8662109375}, {"start": 1240.59, "end": 1241.33, "word": " كمال", "probability": 0.857421875}, {"start": 1241.33, "end": 1241.93, "word": " نظرية", "probability": 0.9844970703125}, {"start": 1241.93, "end": 1242.17, "word": " في", "probability": 0.97509765625}, {"start": 1242.17, "end": 1242.39, "word": " هذا", "probability": 0.97998046875}, {"start": 1242.39, "end": 1243.03, "word": " السياق", "probability": 0.9757486979166666}], "temperature": 1.0}, {"id": 45, "seek": 128021, "start": 1250.57, "end": 1280.21, "text": "theorem اتنين عشرين let x in content in R be bounded bounded sequence and let", "tokens": [3322, 37956, 1975, 2655, 1863, 9957, 6225, 46309, 9957, 718, 2031, 294, 2701, 294, 497, 312, 37498, 37498, 8310, 293, 718], "avg_logprob": -0.5344460037621585, "compression_ratio": 1.0740740740740742, "no_speech_prob": 0.0, "words": [{"start": 1250.57, "end": 1251.25, "word": "theorem", "probability": 0.5062408447265625}, {"start": 1251.25, "end": 1252.53, "word": " اتنين", "probability": 0.703216552734375}, {"start": 1252.53, "end": 1253.31, "word": " عشرين", "probability": 0.8577473958333334}, {"start": 1253.31, "end": 1263.69, "word": " let", "probability": 0.6298828125}, {"start": 1263.69, "end": 1264.19, "word": " x", "probability": 0.7001953125}, {"start": 1264.19, "end": 1264.69, "word": " in", "probability": 0.31640625}, {"start": 1264.69, "end": 1267.91, "word": " content", "probability": 0.272216796875}, {"start": 1267.91, "end": 1268.35, "word": " in", "probability": 0.67822265625}, {"start": 1268.35, "end": 1268.85, "word": " R", "probability": 0.85546875}, {"start": 1268.85, "end": 1271.67, "word": " be", "probability": 0.78076171875}, {"start": 1271.67, "end": 1273.07, "word": " bounded", "probability": 0.96435546875}, {"start": 1273.07, "end": 1275.91, "word": " bounded", "probability": 0.368896484375}, {"start": 1275.91, "end": 1277.51, "word": " sequence", "probability": 0.978515625}, {"start": 1277.51, "end": 1279.49, "word": " and", "probability": 0.94140625}, {"start": 1279.49, "end": 1280.21, "word": " let", "probability": 0.9677734375}], "temperature": 1.0}, {"id": 46, "seek": 130631, "start": 1282.25, "end": 1306.31, "text": "X ينتمي إلى R بـ such that every .. every convergent .. every convergent subsequence .. every convergent subsequence", "tokens": [55, 7251, 29399, 2304, 1829, 30731, 497, 4724, 39184, 1270, 300, 633, 4386, 633, 9652, 6930, 4386, 633, 9652, 6930, 13924, 655, 4386, 633, 9652, 6930, 13924, 655], "avg_logprob": -0.27182111246832485, "compression_ratio": 1.575, "no_speech_prob": 0.0, "words": [{"start": 1282.25, "end": 1282.79, "word": "X", "probability": 0.1468505859375}, {"start": 1282.79, "end": 1283.61, "word": " ينتمي", "probability": 0.9039306640625}, {"start": 1283.61, "end": 1283.89, "word": " إلى", "probability": 0.748046875}, {"start": 1283.89, "end": 1284.27, "word": " R", "probability": 0.9384765625}, {"start": 1284.27, "end": 1289.37, "word": " بـ", "probability": 0.369873046875}, {"start": 1289.37, "end": 1290.01, "word": " such", "probability": 0.48583984375}, {"start": 1290.01, "end": 1290.57, "word": " that", "probability": 0.94580078125}, {"start": 1290.57, "end": 1292.63, "word": " every", "probability": 0.7607421875}, {"start": 1292.63, "end": 1292.73, "word": " ..", "probability": 0.59619140625}, {"start": 1292.73, "end": 1294.91, "word": " every", "probability": 0.6982421875}, {"start": 1294.91, "end": 1296.19, "word": " convergent", "probability": 0.967529296875}, {"start": 1296.19, "end": 1296.35, "word": " ..", "probability": 0.90771484375}, {"start": 1296.35, "end": 1296.87, "word": " every", "probability": 0.71044921875}, {"start": 1296.87, "end": 1298.17, "word": " convergent", "probability": 0.982421875}, {"start": 1298.17, "end": 1301.61, "word": " subsequence", "probability": 0.989501953125}, {"start": 1301.61, "end": 1301.85, "word": " ..", "probability": 0.8056640625}, {"start": 1301.85, "end": 1304.45, "word": " every", "probability": 0.7890625}, {"start": 1304.45, "end": 1305.29, "word": " convergent", "probability": 0.978759765625}, {"start": 1305.29, "end": 1306.31, "word": " subsequence", "probability": 0.995361328125}], "temperature": 1.0}, {"id": 47, "seek": 133693, "start": 1310.71, "end": 1336.93, "text": "of سمّيها x أو every convergent subsequence of x in converges to x then النتيجة أنه ال sequence x in", "tokens": [2670, 8608, 2304, 11703, 1829, 11296, 2031, 34051, 633, 9652, 6930, 13924, 655, 295, 2031, 294, 9652, 2880, 281, 2031, 550, 28239, 31371, 7435, 3660, 14739, 3224, 2423, 8310, 2031, 294], "avg_logprob": -0.3295898325741291, "compression_ratio": 1.1428571428571428, "no_speech_prob": 0.0, "words": [{"start": 1310.71, "end": 1311.39, "word": "of", "probability": 0.31787109375}, {"start": 1311.39, "end": 1312.71, "word": " سمّيها", "probability": 0.712939453125}, {"start": 1312.71, "end": 1314.25, "word": " x", "probability": 0.4619140625}, {"start": 1314.25, "end": 1319.55, "word": " أو", "probability": 0.615234375}, {"start": 1319.55, "end": 1319.95, "word": " every", "probability": 0.7060546875}, {"start": 1319.95, "end": 1320.59, "word": " convergent", "probability": 0.719482421875}, {"start": 1320.59, "end": 1321.63, "word": " subsequence", "probability": 0.99072265625}, {"start": 1321.63, "end": 1322.11, "word": " of", "probability": 0.93603515625}, {"start": 1322.11, "end": 1322.57, "word": " x", "probability": 0.92041015625}, {"start": 1322.57, "end": 1323.01, "word": " in", "probability": 0.2254638671875}, {"start": 1323.01, "end": 1325.19, "word": " converges", "probability": 0.782470703125}, {"start": 1325.19, "end": 1328.45, "word": " to", "probability": 0.95068359375}, {"start": 1328.45, "end": 1329.19, "word": " x", "probability": 0.962890625}, {"start": 1329.19, "end": 1332.43, "word": " then", "probability": 0.466552734375}, {"start": 1332.43, "end": 1333.57, "word": " النتيجة", "probability": 0.976806640625}, {"start": 1333.57, "end": 1335.11, "word": " أنه", "probability": 0.549072265625}, {"start": 1335.11, "end": 1335.35, "word": " ال", "probability": 0.705078125}, {"start": 1335.35, "end": 1335.75, "word": " sequence", "probability": 0.74365234375}, {"start": 1335.75, "end": 1336.41, "word": " x", "probability": 0.828125}, {"start": 1336.41, "end": 1336.93, "word": " in", "probability": 0.91748046875}], "temperature": 1.0}, {"id": 48, "seek": 135035, "start": 1339.75, "end": 1350.35, "text": "converges to x إذا أنا في عندي bounded sequence of real numbers", "tokens": [1671, 331, 2880, 281, 2031, 11933, 15730, 41850, 8978, 18871, 16254, 37498, 8310, 295, 957, 3547], "avg_logprob": -0.5160845588235294, "compression_ratio": 0.9375, "no_speech_prob": 0.0, "words": [{"start": 1339.75, "end": 1340.77, "word": "converges", "probability": 0.6420084635416666}, {"start": 1340.77, "end": 1341.73, "word": " to", "probability": 0.78076171875}, {"start": 1341.73, "end": 1342.23, "word": " x", "probability": 0.80419921875}, {"start": 1342.23, "end": 1347.19, "word": " إذا", "probability": 0.62109375}, {"start": 1347.19, "end": 1347.43, "word": " أنا", "probability": 0.7802734375}, 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{"start": 1374.67, "end": 1374.91, "word": " مش", "probability": 0.82421875}, {"start": 1374.91, "end": 1375.43, "word": " صعب", "probability": 0.99072265625}], "temperature": 1.0}, {"id": 50, "seek": 140273, "start": 1379.85, "end": 1402.73, "text": "هنستخدم البولزانو virus trust theorem اللي هي نظرية تسعتاش في البرهان هنشوف مع بعض prove assume", "tokens": [3224, 1863, 14851, 9778, 40448, 29739, 12610, 11622, 7649, 2407, 5752, 3361, 20904, 13672, 1829, 39896, 8717, 19913, 2288, 10632, 6055, 3794, 34268, 33599, 8978, 2423, 26890, 3224, 7649, 8032, 1863, 8592, 38688, 20449, 45030, 11242, 7081, 6552], "avg_logprob": -0.2598157158264747, "compression_ratio": 1.1951219512195121, "no_speech_prob": 0.0, "words": [{"start": 1379.85, "end": 1380.65, "word": "هنستخدم", "probability": 0.89833984375}, {"start": 1380.65, "end": 1381.41, "word": " البولزانو", "probability": 0.69169921875}, {"start": 1381.41, "end": 1381.79, "word": " virus", "probability": 0.45947265625}, {"start": 1381.79, "end": 1382.19, "word": " trust", "probability": 0.69091796875}, {"start": 1382.19, "end": 1382.65, "word": " theorem", "probability": 0.6474609375}, {"start": 1382.65, "end": 1384.65, "word": " اللي", "probability": 0.621337890625}, {"start": 1384.65, "end": 1384.85, "word": " هي", "probability": 0.90234375}, {"start": 1384.85, "end": 1385.33, "word": " نظرية", "probability": 0.949951171875}, {"start": 1385.33, "end": 1386.31, "word": " تسعتاش", "probability": 0.6844482421875}, {"start": 1386.31, "end": 1387.79, "word": " في", "probability": 0.65283203125}, {"start": 1387.79, "end": 1388.49, "word": " البرهان", "probability": 0.91064453125}, {"start": 1388.49, "end": 1391.35, "word": " هنشوف", "probability": 0.84039306640625}, {"start": 1391.35, "end": 1391.57, "word": " مع", "probability": 0.99609375}, {"start": 1391.57, "end": 1392.39, "word": " بعض", "probability": 0.994140625}, {"start": 1392.39, "end": 1394.21, "word": " prove", "probability": 0.56396484375}, {"start": 1394.21, "end": 1402.73, "word": " assume", "probability": 0.88623046875}], "temperature": 1.0}, {"id": 51, "seek": 143533, "start": 1409.79, "end": 1435.33, "text": "assume on contrary that احنا عايزين نثبت ان ال sequence x in converge ل x فنفرض ان x in does not converge to any x then by divergence", "tokens": [640, 2540, 322, 19506, 300, 1975, 5016, 8315, 6225, 47302, 11622, 9957, 8717, 12984, 3555, 2655, 16472, 2423, 8310, 2031, 294, 41881, 5296, 2031, 6156, 1863, 5172, 43042, 16472, 2031, 294, 775, 406, 41881, 281, 604, 2031, 550, 538, 47387], "avg_logprob": -0.21760670150198588, "compression_ratio": 1.2230769230769232, "no_speech_prob": 0.0, "words": [{"start": 1409.7900000000002, "end": 1410.65, "word": "assume", "probability": 0.6793212890625}, {"start": 1410.65, "end": 1411.51, "word": " on", "probability": 0.8203125}, {"start": 1411.51, "end": 1412.45, "word": " contrary", "probability": 0.919921875}, {"start": 1412.45, "end": 1417.77, "word": " that", "probability": 0.4912109375}, {"start": 1417.77, "end": 1418.89, "word": " احنا", "probability": 0.781982421875}, {"start": 1418.89, "end": 1419.33, "word": " عايزين", "probability": 0.979248046875}, {"start": 1419.33, "end": 1419.75, "word": " نثبت", "probability": 0.95654296875}, {"start": 1419.75, "end": 1419.95, "word": " ان", "probability": 0.818359375}, {"start": 1419.95, "end": 1420.09, "word": " ال", "probability": 0.7822265625}, {"start": 1420.09, "end": 1420.39, "word": " sequence", "probability": 0.80029296875}, {"start": 1420.39, "end": 1420.83, "word": " x", "probability": 0.7861328125}, {"start": 1420.83, "end": 1421.15, "word": " in", "probability": 0.671875}, {"start": 1421.15, "end": 1422.31, "word": " converge", "probability": 0.367431640625}, {"start": 1422.31, "end": 1422.53, "word": " ل", "probability": 0.88232421875}, {"start": 1422.53, "end": 1422.89, "word": " x", "probability": 0.6279296875}, {"start": 1422.89, "end": 1424.23, "word": " فنفرض", "probability": 0.8006591796875}, {"start": 1424.23, "end": 1424.41, "word": " ان", "probability": 0.9013671875}, {"start": 1424.41, "end": 1424.71, "word": " x", "probability": 0.420166015625}, {"start": 1424.71, "end": 1425.07, "word": " in", "probability": 0.94677734375}, {"start": 1425.07, "end": 1425.39, "word": " does", "probability": 0.7783203125}, {"start": 1425.39, "end": 1425.87, "word": " not", "probability": 0.9599609375}, {"start": 1425.87, "end": 1427.27, "word": " converge", "probability": 0.97998046875}, {"start": 1427.27, "end": 1427.49, "word": " to", "probability": 0.90478515625}, {"start": 1427.49, "end": 1427.71, "word": " any", "probability": 0.73046875}, {"start": 1427.71, "end": 1428.13, "word": " x", "probability": 0.994140625}, {"start": 1428.13, "end": 1431.55, "word": " then", "probability": 0.8193359375}, {"start": 1431.55, "end": 1432.17, "word": " by", "probability": 0.9736328125}, {"start": 1432.17, "end": 1435.33, "word": " divergence", "probability": 0.96337890625}], "temperature": 1.0}, {"id": 52, "seek": 146029, "start": 1437.21, "end": 1460.29, "text": "by divergence theorem اللى هى اتنين تمانتاش كذبوت او اتنين سبعتاش اعتقد هيك صح اه ال divergence theorem بتقولى x in does not converge ل x", "tokens": [2322, 47387, 20904, 13672, 7578, 8032, 7578, 1975, 2655, 1863, 9957, 46811, 7649, 2655, 33599, 9122, 8848, 3555, 35473, 1975, 2407, 1975, 2655, 1863, 9957, 8608, 3555, 34268, 33599, 1975, 34268, 28543, 39896, 4117, 20328, 5016, 1975, 3224, 2423, 47387, 20904, 39894, 39648, 7578, 2031, 294, 775, 406, 41881, 5296, 2031], "avg_logprob": -0.34915864582245165, "compression_ratio": 1.4057971014492754, "no_speech_prob": 0.0, "words": [{"start": 1437.21, "end": 1437.55, "word": "by", "probability": 0.1871337890625}, {"start": 1437.55, "end": 1438.31, "word": " divergence", "probability": 0.93896484375}, {"start": 1438.31, "end": 1439.83, "word": " theorem", "probability": 0.8017578125}, {"start": 1439.83, "end": 1443.17, "word": " اللى", "probability": 0.3975830078125}, {"start": 1443.17, "end": 1443.59, "word": " هى", "probability": 0.83642578125}, {"start": 1443.59, "end": 1444.43, "word": " اتنين", "probability": 0.8404541015625}, {"start": 1444.43, "end": 1447.09, "word": " تمانتاش", "probability": 0.768096923828125}, {"start": 1447.09, "end": 1450.53, "word": " كذبوت", "probability": 0.565673828125}, {"start": 1450.53, "end": 1452.49, "word": " او", "probability": 0.944091796875}, {"start": 1452.49, "end": 1452.81, "word": " اتنين", "probability": 0.9671630859375}, {"start": 1452.81, "end": 1453.51, "word": " سبعتاش", "probability": 0.955322265625}, {"start": 1453.51, "end": 1453.99, "word": " اعتقد", "probability": 0.87255859375}, {"start": 1453.99, "end": 1454.33, "word": " هيك", "probability": 0.60650634765625}, {"start": 1454.33, "end": 1455.53, "word": " صح", "probability": 0.906982421875}, {"start": 1455.53, "end": 1455.87, "word": " اه", "probability": 0.52691650390625}, {"start": 1455.87, "end": 1455.95, "word": " ال", "probability": 0.8759765625}, {"start": 1455.95, "end": 1456.39, "word": " divergence", "probability": 0.9970703125}, {"start": 1456.39, "end": 1456.97, "word": " theorem", "probability": 0.91455078125}, {"start": 1456.97, "end": 1457.87, "word": " بتقولى", "probability": 0.6880289713541666}, {"start": 1457.87, "end": 1458.47, "word": " x", "probability": 0.69921875}, {"start": 1458.47, "end": 1458.69, "word": " in", "probability": 0.477294921875}, {"start": 1458.69, "end": 1458.93, "word": " does", "probability": 0.89990234375}, {"start": 1458.93, "end": 1459.17, "word": " not", "probability": 0.9619140625}, {"start": 1459.17, "end": 1459.71, "word": " converge", "probability": 0.99609375}, {"start": 1459.71, "end": 1459.89, "word": " ل", "probability": 0.92138671875}, {"start": 1459.89, "end": 1460.29, "word": " x", "probability": 0.81494140625}], "temperature": 1.0}, {"id": 53, "seek": 148020, "start": 1461.44, "end": 1480.2, "text": "معناته there exist epsilon zero عدد موجب and there exist a subsequence a subsequence xrn of xn", "tokens": [2304, 3615, 8315, 47395, 456, 2514, 17889, 4018, 6225, 3215, 3215, 3714, 29245, 3555, 293, 456, 2514, 257, 13924, 655, 257, 13924, 655, 2031, 81, 77, 295, 2031, 77], "avg_logprob": -0.22213542014360427, "compression_ratio": 1.1888888888888889, "no_speech_prob": 0.0, "words": [{"start": 1461.44, "end": 1462.14, "word": "معناته", "probability": 0.892578125}, {"start": 1462.14, "end": 1462.4, "word": " there", "probability": 0.6591796875}, {"start": 1462.4, "end": 1462.96, "word": " exist", "probability": 0.5771484375}, {"start": 1462.96, "end": 1463.56, "word": " epsilon", "probability": 0.3623046875}, {"start": 1463.56, "end": 1464.04, "word": " zero", "probability": 0.763671875}, {"start": 1464.04, "end": 1464.4, "word": " عدد", "probability": 0.9541015625}, {"start": 1464.4, "end": 1464.94, "word": " موجب", "probability": 0.9557291666666666}, {"start": 1464.94, "end": 1465.4, "word": " and", "probability": 0.92138671875}, {"start": 1465.4, "end": 1465.84, "word": " there", "probability": 0.90283203125}, {"start": 1465.84, "end": 1466.46, "word": " exist", "probability": 0.90966796875}, {"start": 1466.46, "end": 1467.42, "word": " a", "probability": 0.923828125}, {"start": 1467.42, "end": 1468.66, "word": " subsequence", "probability": 0.963623046875}, {"start": 1468.66, "end": 1468.96, "word": " a", "probability": 0.324951171875}, {"start": 1468.96, "end": 1472.98, "word": " subsequence", "probability": 0.97900390625}, {"start": 1472.98, "end": 1476.18, "word": " xrn", "probability": 0.547607421875}, {"start": 1476.18, "end": 1478.72, "word": " of", "probability": 0.92138671875}, {"start": 1478.72, "end": 1480.2, "word": " xn", "probability": 0.929931640625}], "temperature": 1.0}, {"id": 54, "seek": 151174, "start": 1482.72, "end": 1511.74, "text": "such that absolute x are n minus x أكبر من أو ساوي epsilon zero هذا الكلام صحيح لكل n في n نسمي المتباينة هذه star تمام؟ هذا من نظرية ال divergence اتنين سبعتاش ممكن نحصل على كل هذا", "tokens": [39974, 300, 8236, 2031, 366, 297, 3175, 2031, 5551, 4117, 26890, 9154, 34051, 8608, 995, 45865, 17889, 4018, 23758, 2423, 28820, 10943, 20328, 5016, 1829, 5016, 5296, 28820, 297, 8978, 297, 8717, 38251, 1829, 9673, 2655, 3555, 995, 9957, 3660, 29538, 3543, 46811, 10943, 22807, 23758, 9154, 8717, 19913, 2288, 10632, 2423, 47387, 1975, 2655, 1863, 9957, 8608, 3555, 34268, 33599, 3714, 43020, 8717, 5016, 36520, 15844, 28242, 23758], "avg_logprob": -0.2511160739830562, "compression_ratio": 1.4114583333333333, "no_speech_prob": 0.0, "words": [{"start": 1482.72, "end": 1483.24, "word": "such", "probability": 0.51806640625}, {"start": 1483.24, "end": 1483.86, "word": " that", "probability": 0.9599609375}, {"start": 1483.86, "end": 1485.12, "word": " absolute", "probability": 0.6064453125}, {"start": 1485.12, "end": 1486.0, "word": " x", "probability": 0.76171875}, {"start": 1486.0, "end": 1486.66, "word": " are", "probability": 0.374267578125}, {"start": 1486.66, "end": 1487.14, "word": " n", "probability": 0.841796875}, {"start": 1487.14, "end": 1487.88, "word": " minus", "probability": 0.74853515625}, {"start": 1487.88, "end": 1488.7, "word": " x", "probability": 0.9921875}, {"start": 1488.7, "end": 1490.26, "word": " أكبر", "probability": 0.9052734375}, {"start": 1490.26, "end": 1490.52, "word": " من", "probability": 0.884765625}, {"start": 1490.52, "end": 1490.76, "word": " أو", "probability": 0.96533203125}, {"start": 1490.76, "end": 1491.32, "word": " ساوي", "probability": 0.8435872395833334}, {"start": 1491.32, "end": 1491.76, "word": " epsilon", "probability": 0.2403564453125}, {"start": 1491.76, "end": 1492.34, "word": " zero", "probability": 0.79345703125}, {"start": 1492.34, "end": 1493.36, "word": " هذا", "probability": 0.79833984375}, {"start": 1493.36, "end": 1493.78, "word": " الكلام", "probability": 0.8883463541666666}, {"start": 1493.78, "end": 1494.4, "word": " صحيح", "probability": 0.9888916015625}, {"start": 1494.4, "end": 1495.12, "word": " لكل", "probability": 0.976318359375}, {"start": 1495.12, "end": 1495.66, "word": " n", "probability": 0.7890625}, {"start": 1495.66, "end": 1496.02, "word": " في", "probability": 0.9716796875}, {"start": 1496.02, "end": 1496.52, "word": " n", "probability": 0.89892578125}, {"start": 1496.52, "end": 1501.28, "word": " نسمي", "probability": 0.80126953125}, {"start": 1501.28, "end": 1502.12, "word": " المتباينة", "probability": 0.9232584635416666}, {"start": 1502.12, "end": 1502.56, "word": " هذه", "probability": 0.43115234375}, {"start": 1502.56, "end": 1503.18, "word": " star", "probability": 0.61083984375}, {"start": 1503.18, "end": 1504.94, "word": " تمام؟", "probability": 0.7058512369791666}, {"start": 1504.94, "end": 1505.12, "word": " هذا", "probability": 0.5302734375}, {"start": 1505.12, "end": 1505.26, "word": " من", "probability": 0.96484375}, {"start": 1505.26, "end": 1505.86, "word": " نظرية", "probability": 0.951171875}, {"start": 1505.86, "end": 1507.56, "word": " ال", "probability": 0.8662109375}, {"start": 1507.56, "end": 1508.3, "word": " divergence", "probability": 0.986328125}, {"start": 1508.3, "end": 1509.64, "word": " اتنين", "probability": 0.7296524047851562}, {"start": 1509.64, "end": 1510.32, "word": " سبعتاش", "probability": 0.60382080078125}, {"start": 1510.32, "end": 1510.62, "word": " ممكن", "probability": 0.840087890625}, {"start": 1510.62, "end": 1511.0, "word": " نحصل", "probability": 0.9918619791666666}, {"start": 1511.0, "end": 1511.16, "word": " على", "probability": 0.88134765625}, {"start": 1511.16, "end": 1511.44, "word": " كل", "probability": 0.98486328125}, {"start": 1511.44, "end": 1511.74, "word": " هذا", "probability": 0.92822265625}], "temperature": 1.0}, {"id": 55, "seek": 154516, "start": 1517.2, "end": 1545.16, "text": "طيب since xn is bounded لما انه ال sequence xn is bounded then the subsequence the subsequence xrn is bounded", "tokens": [9566, 1829, 3555, 1670, 2031, 77, 307, 37498, 5296, 15042, 16472, 3224, 2423, 8310, 2031, 77, 307, 37498, 550, 264, 13924, 655, 264, 13924, 655, 2031, 81, 77, 307, 37498], "avg_logprob": -0.21320565092948177, "compression_ratio": 1.5384615384615385, "no_speech_prob": 0.0, "words": [{"start": 1517.2, "end": 1517.78, "word": "طيب", "probability": 0.9425455729166666}, {"start": 1517.78, "end": 1519.08, "word": " since", "probability": 0.60009765625}, {"start": 1519.08, "end": 1522.14, "word": " xn", "probability": 0.516357421875}, {"start": 1522.14, "end": 1523.04, "word": " is", "probability": 0.93603515625}, {"start": 1523.04, "end": 1523.68, "word": " bounded", "probability": 0.9423828125}, {"start": 1523.68, "end": 1525.92, "word": " لما", "probability": 0.7083740234375}, {"start": 1525.92, "end": 1526.22, "word": " انه", "probability": 0.666748046875}, {"start": 1526.22, "end": 1526.28, "word": " ال", "probability": 0.888671875}, {"start": 1526.28, "end": 1526.86, "word": " sequence", "probability": 0.88720703125}, {"start": 1526.86, "end": 1528.9, "word": " xn", "probability": 0.95458984375}, {"start": 1528.9, "end": 1529.26, "word": " is", "probability": 0.9541015625}, {"start": 1529.26, "end": 1529.76, "word": " bounded", "probability": 0.93408203125}, {"start": 1529.76, "end": 1536.26, "word": " then", "probability": 0.7626953125}, {"start": 1536.26, "end": 1536.56, "word": " the", "probability": 0.82666015625}, {"start": 1536.56, "end": 1537.46, "word": " subsequence", "probability": 0.950439453125}, {"start": 1537.46, "end": 1539.94, "word": " the", "probability": 0.33251953125}, {"start": 1539.94, "end": 1541.02, "word": " subsequence", "probability": 0.987548828125}, {"start": 1541.02, "end": 1543.78, "word": " xrn", "probability": 0.85888671875}, {"start": 1543.78, "end": 1544.74, "word": " is", "probability": 0.96435546875}, {"start": 1544.74, "end": 1545.16, "word": " bounded", "probability": 0.93701171875}], "temperature": 1.0}, {"id": 56, "seek": 157716, "start": 1549.26, "end": 1577.16, "text": "أي subsequence من bounded sequence تطلع bounded جب شوية أثبتنا الكلام هذا so by bolzano weierstrass theorem نظرية bolzano weierstrass", "tokens": [10721, 1829, 13924, 655, 9154, 37498, 8310, 6055, 9566, 1211, 3615, 37498, 10874, 3555, 13412, 2407, 10632, 5551, 12984, 3555, 2655, 8315, 2423, 28820, 10943, 23758, 370, 538, 8986, 89, 3730, 321, 811, 9733, 640, 20904, 8717, 19913, 2288, 10632, 8986, 89, 3730, 321, 811, 9733, 640], "avg_logprob": -0.20231119294961294, "compression_ratio": 1.2846153846153847, "no_speech_prob": 0.0, "words": [{"start": 1549.26, "end": 1549.74, "word": "أي", "probability": 0.583984375}, {"start": 1549.74, "end": 1550.8, "word": " subsequence", "probability": 0.750732421875}, {"start": 1550.8, "end": 1551.22, "word": " من", "probability": 0.96484375}, {"start": 1551.22, "end": 1551.7, "word": " bounded", "probability": 0.763671875}, {"start": 1551.7, "end": 1552.22, "word": " sequence", "probability": 0.9501953125}, {"start": 1552.22, "end": 1552.56, "word": " تطلع", "probability": 0.9503173828125}, {"start": 1552.56, "end": 1552.86, "word": " bounded", "probability": 0.60595703125}, {"start": 1552.86, "end": 1553.14, "word": " جب", "probability": 0.592529296875}, {"start": 1553.14, "end": 1553.66, "word": " شوية", "probability": 0.73828125}, {"start": 1553.66, "end": 1554.7, "word": " أثبتنا", "probability": 0.97744140625}, {"start": 1554.7, "end": 1555.1, "word": " الكلام", "probability": 0.9630533854166666}, {"start": 1555.1, "end": 1555.68, "word": " هذا", "probability": 0.849609375}, {"start": 1555.68, "end": 1559.6, "word": " so", "probability": 0.394287109375}, {"start": 1559.6, "end": 1560.24, "word": " by", "probability": 0.96484375}, {"start": 1560.24, "end": 1564.78, "word": " bolzano", "probability": 0.7794596354166666}, {"start": 1564.78, "end": 1571.68, "word": " weierstrass", "probability": 0.81378173828125}, {"start": 1571.68, "end": 1572.72, "word": " theorem", "probability": 0.92529296875}, {"start": 1572.72, "end": 1575.5, "word": " نظرية", "probability": 0.896240234375}, {"start": 1575.5, "end": 1576.24, "word": " bolzano", "probability": 0.8546549479166666}, {"start": 1576.24, "end": 1577.16, "word": " weierstrass", "probability": 0.9228515625}], "temperature": 1.0}, {"id": 57, "seek": 160741, "start": 1578.27, "end": 1607.41, "text": "هنطبقها على الـ sequence XRN اللي هي bounded فبتقول بولزانو فيروس تراثيرم إذا في عندي sequence و bounded ففي إلها convergence subsequence إذن ال sequence ال sequence XRN", "tokens": [3224, 1863, 9566, 3555, 4587, 11296, 15844, 2423, 39184, 8310, 1783, 49, 45, 13672, 1829, 39896, 37498, 6156, 3555, 2655, 39648, 4724, 12610, 11622, 7649, 2407, 8978, 32887, 3794, 6055, 2288, 5718, 104, 13546, 2304, 11933, 15730, 8978, 18871, 16254, 8310, 4032, 37498, 6156, 41185, 11933, 1211, 11296, 32181, 13924, 655, 11933, 8848, 1863, 2423, 8310, 2423, 8310, 1783, 49, 45], "avg_logprob": -0.32333670027794376, "compression_ratio": 1.5192307692307692, "no_speech_prob": 0.0, "words": [{"start": 1578.27, "end": 1579.27, "word": "هنطبقها", "probability": 0.88671875}, {"start": 1579.27, "end": 1579.47, "word": " على", "probability": 0.80712890625}, {"start": 1579.47, "end": 1579.73, "word": " الـ", "probability": 0.60400390625}, {"start": 1579.73, "end": 1580.27, "word": " sequence", "probability": 0.70361328125}, {"start": 1580.27, "end": 1582.05, "word": " XRN", "probability": 0.5916341145833334}, {"start": 1582.05, "end": 1583.79, "word": " اللي", "probability": 0.7265625}, {"start": 1583.79, "end": 1584.11, "word": " هي", "probability": 0.833984375}, {"start": 1584.11, "end": 1584.57, "word": " bounded", "probability": 0.791015625}, {"start": 1584.57, "end": 1588.19, "word": " فبتقول", "probability": 0.96923828125}, {"start": 1588.19, "end": 1589.77, "word": " بولزانو", "probability": 0.739599609375}, {"start": 1589.77, "end": 1590.09, "word": " فيروس", "probability": 0.7671712239583334}, {"start": 1590.09, "end": 1590.73, "word": " تراثيرم", "probability": 0.587646484375}, {"start": 1590.73, "end": 1591.41, "word": " إذا", "probability": 0.7509765625}, {"start": 1591.41, "end": 1591.59, "word": " في", "probability": 0.8173828125}, {"start": 1591.59, "end": 1591.85, "word": " عندي", "probability": 0.5675048828125}, {"start": 1591.85, "end": 1592.51, "word": " sequence", "probability": 0.896484375}, {"start": 1592.51, "end": 1593.01, "word": " و", "probability": 0.6806640625}, {"start": 1593.01, "end": 1593.49, "word": " bounded", "probability": 0.83154296875}, {"start": 1593.49, "end": 1594.99, "word": " ففي", "probability": 0.92529296875}, {"start": 1594.99, "end": 1595.37, "word": " إلها", "probability": 0.7679036458333334}, {"start": 1595.37, "end": 1595.99, "word": " convergence", "probability": 0.83154296875}, {"start": 1595.99, "end": 1597.03, "word": " subsequence", "probability": 0.982177734375}, {"start": 1597.03, "end": 1599.75, "word": " إذن", "probability": 0.65966796875}, {"start": 1599.75, "end": 1599.97, "word": " ال", "probability": 0.92578125}, {"start": 1599.97, "end": 1600.63, "word": " sequence", "probability": 0.90283203125}, {"start": 1600.63, "end": 1605.07, "word": " ال", "probability": 0.244384765625}, {"start": 1605.07, "end": 1605.67, "word": " sequence", "probability": 0.97900390625}, {"start": 1605.67, "end": 1607.41, "word": " XRN", "probability": 0.9454752604166666}], "temperature": 1.0}, {"id": 58, "seek": 163617, "start": 1608.81, "end": 1636.17, "text": "has a convergent has a convergent subsequence say خلينا نسميها xkxkn تمام؟", "tokens": [12438, 257, 9652, 6930, 575, 257, 9652, 6930, 13924, 655, 584, 16490, 20292, 8315, 8717, 38251, 1829, 11296, 2031, 74, 87, 5457, 46811, 10943, 22807], "avg_logprob": -0.2295673036804566, "compression_ratio": 1.125, "no_speech_prob": 0.0, "words": [{"start": 1608.81, "end": 1609.43, "word": "has", "probability": 0.54833984375}, {"start": 1609.43, "end": 1609.99, "word": " a", "probability": 0.978515625}, {"start": 1609.99, "end": 1611.07, "word": " convergent", "probability": 0.951171875}, {"start": 1611.07, "end": 1613.87, "word": " has", "probability": 0.2008056640625}, {"start": 1613.87, "end": 1614.23, "word": " a", "probability": 0.99462890625}, {"start": 1614.23, "end": 1615.23, "word": " convergent", "probability": 0.980712890625}, {"start": 1615.23, "end": 1621.55, "word": " subsequence", "probability": 0.90966796875}, {"start": 1621.55, "end": 1624.57, "word": " say", "probability": 0.8291015625}, {"start": 1624.57, "end": 1626.37, "word": " خلينا", "probability": 0.715576171875}, {"start": 1626.37, "end": 1627.29, "word": " نسميها", "probability": 0.9925537109375}, {"start": 1627.29, "end": 1633.27, "word": " xkxkn", "probability": 0.7103271484375}, {"start": 1633.27, "end": 1636.17, "word": " تمام؟", "probability": 0.9674479166666666}], "temperature": 1.0}, {"id": 59, "seek": 168707, "start": 1665.49, "end": 1687.07, "text": "فاندي ال .. اذا انا في عندي convergent subsequence من ال subsequence هذه و طبعا هذه subsequence من xn وهذه subsequence من هذه، اذا هذه subsequence من xn", "tokens": [5172, 7649, 16254, 2423, 4386, 1975, 15730, 1975, 8315, 8978, 18871, 16254, 9652, 6930, 13924, 655, 9154, 2423, 13924, 655, 29538, 4032, 23032, 3555, 3615, 995, 29538, 13924, 655, 9154, 2031, 77, 37037, 24192, 13924, 655, 9154, 29538, 12399, 1975, 15730, 29538, 13924, 655, 9154, 2031, 77], "avg_logprob": -0.27099610430498916, "compression_ratio": 1.8392857142857142, "no_speech_prob": 0.0, "words": [{"start": 1665.49, "end": 1666.59, "word": "فاندي", "probability": 0.5843098958333334}, {"start": 1666.59, "end": 1667.03, "word": " ال", "probability": 0.6650390625}, {"start": 1667.03, "end": 1670.89, "word": " ..", "probability": 0.5751953125}, {"start": 1670.89, "end": 1671.15, "word": " اذا", "probability": 0.704833984375}, {"start": 1671.15, "end": 1671.43, "word": " انا", "probability": 0.86669921875}, {"start": 1671.43, "end": 1671.59, "word": " في", "probability": 0.91357421875}, {"start": 1671.59, "end": 1672.03, "word": " عندي", "probability": 0.683349609375}, {"start": 1672.03, "end": 1673.25, "word": " convergent", "probability": 0.674072265625}, {"start": 1673.25, "end": 1674.87, "word": " subsequence", "probability": 0.96142578125}, {"start": 1674.87, "end": 1675.97, "word": " من", "probability": 0.98779296875}, {"start": 1675.97, "end": 1676.17, "word": " ال", "probability": 0.60546875}, {"start": 1676.17, "end": 1676.93, "word": " subsequence", "probability": 0.9541015625}, {"start": 1676.93, "end": 1677.35, "word": " هذه", "probability": 0.75244140625}, {"start": 1677.35, "end": 1678.73, "word": " و", "probability": 0.7861328125}, {"start": 1678.73, "end": 1679.21, "word": " طبعا", "probability": 0.9288330078125}, {"start": 1679.21, "end": 1680.33, "word": " هذه", "probability": 0.55029296875}, {"start": 1680.33, "end": 1681.35, "word": " subsequence", "probability": 0.994140625}, {"start": 1681.35, "end": 1681.59, "word": " من", "probability": 0.99462890625}, {"start": 1681.59, "end": 1682.25, "word": " xn", "probability": 0.4947509765625}, {"start": 1682.25, "end": 1683.39, "word": " وهذه", "probability": 0.70458984375}, {"start": 1683.39, "end": 1684.19, "word": " subsequence", "probability": 0.99609375}, {"start": 1684.19, "end": 1684.51, "word": " من", "probability": 0.9931640625}, {"start": 1684.51, "end": 1685.07, "word": " هذه،", "probability": 0.5107421875}, {"start": 1685.07, "end": 1685.27, "word": " اذا", "probability": 0.815673828125}, {"start": 1685.27, "end": 1685.59, "word": " هذه", "probability": 0.751953125}, {"start": 1685.59, "end": 1686.33, "word": " subsequence", "probability": 0.99658203125}, {"start": 1686.33, "end": 1686.53, "word": " من", "probability": 0.9951171875}, {"start": 1686.53, "end": 1687.07, "word": " xn", "probability": 0.958740234375}], "temperature": 1.0}, {"id": 60, "seek": 171233, "start": 1691.21, "end": 1712.33, "text": "بما أن XKN هو أيضًا سبسيكوينس لسيكوينس الأصلية XN ثم بي وهو مرتبط", "tokens": [3555, 15042, 14739, 1783, 42, 45, 31439, 36632, 11242, 14111, 995, 8608, 3555, 3794, 1829, 4117, 2407, 9957, 3794, 5296, 3794, 1829, 4117, 2407, 9957, 3794, 16247, 9381, 20292, 3660, 1783, 45, 38637, 2304, 4724, 1829, 37037, 2407, 3714, 43500, 3555, 9566], "avg_logprob": -0.6079214922217435, "compression_ratio": 1.2696629213483146, "no_speech_prob": 0.0, "words": [{"start": 1691.21, "end": 1692.01, "word": "بما", "probability": 0.4130859375}, {"start": 1692.01, "end": 1692.01, "word": " أن", "probability": 0.54638671875}, {"start": 1692.01, "end": 1695.57, "word": " XKN", "probability": 0.3890787760416667}, {"start": 1695.57, "end": 1696.17, "word": " هو", "probability": 0.422607421875}, {"start": 1696.17, "end": 1697.69, "word": " أيضًا", "probability": 0.7659912109375}, {"start": 1697.69, "end": 1699.87, "word": " سبسيكوينس", "probability": 0.6737594604492188}, {"start": 1699.87, "end": 1702.95, "word": " لسيكوينس", "probability": 0.7531563895089286}, {"start": 1702.95, "end": 1703.67, "word": " الأصلية", "probability": 0.626708984375}, {"start": 1703.67, "end": 1704.45, "word": " XN", "probability": 0.86767578125}, {"start": 1704.45, "end": 1708.43, "word": " ثم", "probability": 0.6883544921875}, {"start": 1708.43, "end": 1709.05, "word": " بي", "probability": 0.5634765625}, {"start": 1709.05, "end": 1711.81, "word": " وهو", "probability": 0.494354248046875}, {"start": 1711.81, "end": 1712.33, "word": " مرتبط", "probability": 0.5533294677734375}], "temperature": 1.0}, {"id": 61, "seek": 172994, "start": 1721.88, "end": 1729.94, "text": "وهو مرتبط ثم من حيث الهيبوتاسيز", "tokens": [2407, 3224, 2407, 3714, 43500, 3555, 9566, 38637, 2304, 9154, 11331, 1829, 12984, 2423, 3224, 1829, 3555, 35473, 32277, 1829, 11622], "avg_logprob": -0.7084517045454546, "compression_ratio": 0.95, "no_speech_prob": 0.0, "words": [{"start": 1721.8799999999999, "end": 1723.28, "word": "وهو", "probability": 0.666015625}, {"start": 1723.28, "end": 1724.68, "word": " مرتبط", "probability": 0.6031494140625}, {"start": 1724.68, "end": 1728.02, "word": " ثم", "probability": 0.529022216796875}, {"start": 1728.02, "end": 1728.64, "word": " من", "probability": 0.240234375}, {"start": 1728.64, "end": 1728.7, "word": " حيث", "probability": 0.6197509765625}, {"start": 1728.7, "end": 1729.94, "word": " الهيبوتاسيز", "probability": 0.6293487548828125}], "temperature": 1.0}, {"id": 62, "seek": 175343, "start": 1731.15, "end": 1753.43, "text": "من الفرض احنا فرضين في النظرية هذه ان every convergent subsequence of xn لازم تكون convergent للعدد x فهي في عندي subsequence من ال sequence xn وconvergent اذا لازم تكون ال limit تبعتها x اذا من الفرض limit", "tokens": [27842, 27188, 43042, 1975, 5016, 8315, 6156, 43042, 9957, 8978, 28239, 19913, 2288, 10632, 29538, 16472, 633, 9652, 6930, 13924, 655, 295, 2031, 77, 5296, 31377, 2304, 6055, 30544, 9652, 6930, 24976, 22488, 3215, 2031, 6156, 3224, 1829, 8978, 18871, 16254, 13924, 655, 9154, 2423, 8310, 2031, 77, 4032, 1671, 331, 6930, 1975, 15730, 5296, 31377, 2304, 6055, 30544, 2423, 4948, 6055, 3555, 34268, 11296, 2031, 1975, 15730, 9154, 27188, 43042, 4948], "avg_logprob": -0.17583476190697656, "compression_ratio": 1.6878612716763006, "no_speech_prob": 0.0, "words": [{"start": 1731.15, "end": 1731.47, "word": "من", "probability": 0.58984375}, {"start": 1731.47, "end": 1732.13, "word": " الفرض", "probability": 0.93798828125}, {"start": 1732.13, "end": 1733.57, "word": " احنا", "probability": 0.7488606770833334}, {"start": 1733.57, "end": 1734.07, "word": " فرضين", "probability": 0.97119140625}, {"start": 1734.07, "end": 1734.19, "word": " في", "probability": 0.69873046875}, {"start": 1734.19, "end": 1734.65, "word": " النظرية", "probability": 0.94921875}, {"start": 1734.65, "end": 1735.03, "word": " هذه", "probability": 0.82275390625}, {"start": 1735.03, "end": 1735.29, "word": " ان", "probability": 0.87353515625}, {"start": 1735.29, "end": 1735.77, "word": " every", "probability": 0.2320556640625}, {"start": 1735.77, "end": 1736.55, "word": " convergent", "probability": 0.905517578125}, {"start": 1736.55, "end": 1737.53, "word": " subsequence", "probability": 0.982421875}, {"start": 1737.53, "end": 1738.15, "word": " of", "probability": 0.916015625}, {"start": 1738.15, "end": 1738.83, "word": " xn", "probability": 0.5040283203125}, {"start": 1738.83, "end": 1739.31, "word": " لازم", "probability": 0.9884440104166666}, {"start": 1739.31, "end": 1739.61, "word": " تكون", "probability": 0.99169921875}, {"start": 1739.61, "end": 1740.41, "word": " convergent", "probability": 0.93017578125}, {"start": 1740.41, "end": 1741.05, "word": " للعدد", "probability": 0.9519856770833334}, {"start": 1741.05, "end": 1741.45, "word": " x", "probability": 0.90576171875}, {"start": 1741.45, "end": 1742.41, "word": " فهي", "probability": 0.84228515625}, {"start": 1742.41, "end": 1742.53, "word": " في", "probability": 0.83837890625}, {"start": 1742.53, "end": 1742.93, "word": " عندي", "probability": 0.943603515625}, {"start": 1742.93, "end": 1744.63, "word": " subsequence", "probability": 0.988525390625}, {"start": 1744.63, "end": 1744.89, "word": " من", "probability": 0.98095703125}, {"start": 1744.89, "end": 1745.03, "word": " ال", "probability": 0.60009765625}, {"start": 1745.03, "end": 1745.43, "word": " sequence", "probability": 0.8349609375}, {"start": 1745.43, "end": 1746.15, "word": " xn", "probability": 0.907470703125}, {"start": 1746.15, "end": 1747.27, "word": " وconvergent", "probability": 0.7677001953125}, {"start": 1747.27, "end": 1748.41, "word": " اذا", "probability": 0.6192626953125}, {"start": 1748.41, "end": 1748.77, "word": " لازم", "probability": 0.9793294270833334}, {"start": 1748.77, "end": 1749.13, "word": " تكون", "probability": 0.984619140625}, {"start": 1749.13, "end": 1749.29, "word": " ال", "probability": 0.806640625}, {"start": 1749.29, "end": 1749.53, "word": " limit", "probability": 0.96484375}, {"start": 1749.53, "end": 1750.11, "word": " تبعتها", "probability": 0.9481201171875}, {"start": 1750.11, "end": 1750.49, "word": " x", "probability": 0.9453125}, {"start": 1750.49, "end": 1751.19, "word": " اذا", "probability": 0.816162109375}, {"start": 1751.19, "end": 1751.43, "word": " من", "probability": 0.9931640625}, {"start": 1751.43, "end": 1751.97, "word": " الفرض", "probability": 0.9794921875}, {"start": 1751.97, "end": 1753.43, "word": " limit", "probability": 0.435791015625}], "temperature": 1.0}, {"id": 63, "seek": 177986, "start": 1755.76, "end": 1779.86, "text": "لأكس كأن as n tends to infinity بساوي LX تمام طب احنا عايزين نثبت ان ال XN نفسك converge لل X طيب الآن من تعريف", "tokens": [1211, 10721, 4117, 3794, 9122, 33456, 382, 297, 12258, 281, 13202, 4724, 3794, 995, 45865, 441, 55, 46811, 10943, 23032, 3555, 1975, 5016, 8315, 6225, 47302, 11622, 9957, 8717, 12984, 3555, 2655, 16472, 2423, 1783, 45, 8717, 36178, 4117, 41881, 24976, 1783, 23032, 1829, 3555, 6024, 48506, 9154, 37279, 16572, 5172], "avg_logprob": -0.2913161034767444, "compression_ratio": 1.1928571428571428, "no_speech_prob": 0.0, "words": [{"start": 1755.76, "end": 1756.58, "word": "لأكس", "probability": 0.604095458984375}, {"start": 1756.58, "end": 1757.68, "word": " كأن", "probability": 0.544189453125}, {"start": 1757.68, "end": 1758.22, "word": " as", "probability": 0.60009765625}, {"start": 1758.22, "end": 1758.48, "word": " n", "probability": 0.7509765625}, {"start": 1758.48, "end": 1758.82, "word": " tends", "probability": 0.69189453125}, {"start": 1758.82, "end": 1758.96, "word": " to", "probability": 0.927734375}, {"start": 1758.96, "end": 1759.5, "word": " infinity", "probability": 0.8837890625}, {"start": 1759.5, "end": 1760.54, "word": " بساوي", "probability": 0.855712890625}, {"start": 1760.54, "end": 1761.24, "word": " LX", "probability": 0.4625244140625}, {"start": 1761.24, "end": 1763.52, "word": " تمام", "probability": 0.75048828125}, {"start": 1763.52, "end": 1768.48, "word": " طب", "probability": 0.607421875}, {"start": 1768.48, "end": 1768.82, "word": " احنا", "probability": 0.89990234375}, {"start": 1768.82, "end": 1769.44, "word": " عايزين", "probability": 0.9593505859375}, {"start": 1769.44, "end": 1770.36, "word": " نثبت", "probability": 0.9932861328125}, {"start": 1770.36, "end": 1772.48, "word": " ان", "probability": 0.82568359375}, {"start": 1772.48, "end": 1772.7, "word": " ال", "probability": 0.74609375}, {"start": 1772.7, "end": 1773.26, "word": " XN", "probability": 0.5360107421875}, {"start": 1773.26, "end": 1773.96, "word": " نفسك", "probability": 0.978515625}, {"start": 1773.96, "end": 1775.26, "word": " converge", "probability": 0.7861328125}, {"start": 1775.26, "end": 1776.3, "word": " لل", "probability": 0.421630859375}, {"start": 1776.3, "end": 1776.78, "word": " X", "probability": 0.8408203125}, {"start": 1776.78, "end": 1777.72, "word": " طيب", "probability": 0.9697265625}, {"start": 1777.72, "end": 1778.88, "word": " الآن", "probability": 0.631591796875}, {"start": 1778.88, "end": 1779.18, "word": " من", "probability": 0.9853515625}, {"start": 1779.18, "end": 1779.86, "word": " تعريف", "probability": 0.9619140625}], "temperature": 1.0}, {"id": 64, "seek": 180800, "start": 1781.78, "end": 1808.0, "text": "أنا في عندي إبسلون زيرو موجود هاي في عندي إبسلون زيرو أنا في عندي إبسلون زيرو هاد عدد موجود من ال divergence في الفيلم hence وعندي ال subsequence هاد ال converge ل X لذا لما انت عارف ال convergence there exist capital N يعتمد على إبسلون زيرو", "tokens": [10721, 8315, 8978, 18871, 16254, 11933, 3555, 3794, 1211, 11536, 30767, 13546, 2407, 3714, 29245, 23328, 8032, 47302, 8978, 18871, 16254, 11933, 3555, 3794, 1211, 11536, 30767, 13546, 2407, 41850, 8978, 18871, 16254, 11933, 3555, 3794, 1211, 11536, 30767, 13546, 2407, 8032, 18513, 6225, 3215, 3215, 3714, 29245, 23328, 9154, 2423, 47387, 8978, 27188, 1829, 19528, 16678, 4032, 3615, 1863, 16254, 2423, 13924, 655, 8032, 18513, 2423, 41881, 5296, 1783, 5296, 15730, 5296, 15042, 16472, 2655, 6225, 9640, 5172, 2423, 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"end": 1785.14, "word": " إبسلون", "probability": 0.98505859375}, {"start": 1785.14, "end": 1785.86, "word": " زيرو", "probability": 0.96484375}, {"start": 1785.86, "end": 1787.32, "word": " أنا", "probability": 0.298583984375}, {"start": 1787.32, "end": 1787.46, "word": " في", "probability": 0.96728515625}, {"start": 1787.46, "end": 1787.7, "word": " عندي", "probability": 0.992431640625}, {"start": 1787.7, "end": 1788.12, "word": " إبسلون", "probability": 0.9943359375}, {"start": 1788.12, "end": 1788.44, "word": " زيرو", "probability": 0.9803059895833334}, {"start": 1788.44, "end": 1788.6, "word": " هاد", "probability": 0.503662109375}, {"start": 1788.6, "end": 1788.9, "word": " عدد", "probability": 0.9228515625}, {"start": 1788.9, "end": 1789.6, "word": " موجود", "probability": 0.9835611979166666}, {"start": 1789.6, "end": 1790.52, "word": " من", "probability": 0.98974609375}, {"start": 1790.52, "end": 1790.66, "word": " ال", "probability": 0.98779296875}, {"start": 1790.66, "end": 1791.16, "word": " divergence", "probability": 0.96728515625}, {"start": 1791.16, "end": 1791.5, "word": " في", "probability": 0.51513671875}, {"start": 1791.5, "end": 1791.76, "word": " الفيلم", "probability": 0.7509765625}, {"start": 1791.76, "end": 1793.98, "word": " hence", "probability": 0.75146484375}, {"start": 1793.98, "end": 1796.16, "word": " وعندي", "probability": 0.7691650390625}, {"start": 1796.16, "end": 1796.46, "word": " ال", "probability": 0.94287109375}, {"start": 1796.46, "end": 1797.26, "word": " subsequence", "probability": 0.805419921875}, {"start": 1797.26, "end": 1797.48, "word": " هاد", "probability": 0.90185546875}, {"start": 1797.48, "end": 1797.56, "word": " ال", "probability": 0.564453125}, {"start": 1797.56, "end": 1797.98, "word": " converge", "probability": 0.7265625}, {"start": 1797.98, "end": 1798.16, "word": " ل", "probability": 0.90087890625}, {"start": 1798.16, "end": 1798.38, "word": " X", "probability": 0.6591796875}, {"start": 1798.38, "end": 1798.94, "word": " لذا", "probability": 0.471435546875}, {"start": 1798.94, "end": 1799.08, "word": " لما", "probability": 0.794921875}, {"start": 1799.08, "end": 1799.26, "word": " انت", "probability": 0.724853515625}, {"start": 1799.26, "end": 1799.52, "word": " عارف", "probability": 0.9142252604166666}, {"start": 1799.52, "end": 1799.64, "word": " ال", "probability": 0.9775390625}, {"start": 1799.64, "end": 1800.38, "word": " convergence", "probability": 0.9833984375}, {"start": 1800.38, "end": 1802.8, "word": " there", "probability": 0.77001953125}, {"start": 1802.8, "end": 1803.44, "word": " exist", "probability": 0.609375}, {"start": 1803.44, "end": 1805.06, "word": " capital", "probability": 0.72900390625}, {"start": 1805.06, "end": 1805.44, "word": " N", "probability": 0.861328125}, {"start": 1805.44, "end": 1806.24, "word": " يعتمد", "probability": 0.9541015625}, {"start": 1806.24, "end": 1806.66, "word": " على", "probability": 0.84765625}, {"start": 1806.66, "end": 1807.5, "word": " إبسلون", "probability": 0.97529296875}, {"start": 1807.5, "end": 1808.0, "word": " زيرو", "probability": 0.9723307291666666}], "temperature": 1.0}, {"id": 65, "seek": 183574, "start": 1811.6, "end": 1835.74, "text": "بحيث ان ال absolute value للحد العام لل sequence XKN المسافة بينه بين ال X أصغر من epsilon zero وهذا الكلام صحيح لكل N في N تمام؟", "tokens": [3555, 5016, 1829, 12984, 16472, 2423, 8236, 2158, 24976, 24401, 18863, 10943, 24976, 8310, 1783, 34559, 9673, 3794, 31845, 3660, 49374, 3224, 49374, 2423, 1783, 5551, 9381, 17082, 2288, 9154, 17889, 4018, 37037, 15730, 2423, 28820, 10943, 20328, 5016, 1829, 5016, 5296, 28820, 426, 8978, 426, 46811, 10943, 22807], "avg_logprob": -0.3546874988079071, "compression_ratio": 1.2763157894736843, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1811.6, "end": 1812.76, "word": "بحيث", "probability": 0.706268310546875}, {"start": 1812.76, "end": 1813.1, "word": " ان", "probability": 0.48876953125}, {"start": 1813.1, "end": 1813.54, "word": " ال", "probability": 0.496337890625}, {"start": 1813.54, "end": 1816.2, "word": " absolute", "probability": 0.56982421875}, {"start": 1816.2, "end": 1817.02, "word": " value", "probability": 0.98828125}, {"start": 1817.02, "end": 1817.6, "word": " للحد", "probability": 0.669921875}, {"start": 1817.6, "end": 1818.18, "word": " العام", "probability": 0.9501953125}, {"start": 1818.18, "end": 1818.5, "word": " لل", "probability": 0.6455078125}, {"start": 1818.5, "end": 1819.0, "word": " sequence", "probability": 0.80810546875}, {"start": 1819.0, "end": 1821.32, "word": " XKN", "probability": 0.25518798828125}, {"start": 1821.32, "end": 1822.38, "word": " المسافة", "probability": 0.86224365234375}, {"start": 1822.38, "end": 1822.72, "word": " بينه", "probability": 0.810546875}, {"start": 1822.72, "end": 1823.0, "word": " بين", "probability": 0.48583984375}, {"start": 1823.0, "end": 1823.16, "word": " ال", "probability": 0.6884765625}, {"start": 1823.16, "end": 1823.54, "word": " X", "probability": 0.79052734375}, {"start": 1823.54, "end": 1825.64, "word": " أصغر", "probability": 0.958740234375}, {"start": 1825.64, "end": 1826.0, "word": " من", "probability": 0.9833984375}, {"start": 1826.0, "end": 1826.58, "word": " epsilon", "probability": 0.15234375}, {"start": 1826.58, "end": 1827.32, "word": " zero", "probability": 0.396484375}, {"start": 1827.32, "end": 1828.42, "word": " وهذا", "probability": 0.779296875}, {"start": 1828.42, "end": 1828.86, "word": " الكلام", "probability": 0.8291829427083334}, {"start": 1828.86, "end": 1829.46, "word": " صحيح", "probability": 0.9945068359375}, {"start": 1829.46, "end": 1830.08, "word": " لكل", "probability": 0.97314453125}, {"start": 1830.08, "end": 1830.52, "word": " N", "probability": 0.39501953125}, {"start": 1830.52, "end": 1830.82, "word": " في", "probability": 0.94287109375}, {"start": 1830.82, "end": 1831.22, "word": " N", "probability": 0.92626953125}, {"start": 1831.22, "end": 1835.74, "word": " تمام؟", "probability": 0.8468424479166666}], "temperature": 1.0}, {"id": 66, "seek": 186430, "start": 1837.5, "end": 1864.3, "text": "بنسمي المتباين هذي double star الان now star and double star بيقدوا انه ال .. هاي عندي absolute x k n minus x هذا أصغر من epsilon zero", "tokens": [3555, 1863, 38251, 1829, 9673, 2655, 3555, 995, 9957, 8032, 8848, 1829, 3834, 3543, 2423, 7649, 586, 3543, 293, 3834, 3543, 4724, 1829, 28543, 14407, 16472, 3224, 2423, 4386, 8032, 47302, 18871, 16254, 8236, 2031, 350, 297, 3175, 2031, 23758, 5551, 9381, 17082, 2288, 9154, 17889, 4018], "avg_logprob": -0.33284505891303223, "compression_ratio": 1.2397260273972603, "no_speech_prob": 0.0, "words": [{"start": 1837.5, "end": 1838.42, "word": "بنسمي", "probability": 0.7591552734375}, {"start": 1838.42, "end": 1839.46, "word": " المتباين", "probability": 0.903125}, {"start": 1839.46, "end": 1839.88, "word": " هذي", "probability": 0.4908040364583333}, {"start": 1839.88, "end": 1840.14, "word": " double", "probability": 0.7294921875}, {"start": 1840.14, "end": 1840.68, "word": " star", "probability": 0.841796875}, {"start": 1840.68, "end": 1843.94, "word": " الان", "probability": 0.6551513671875}, {"start": 1843.94, "end": 1844.64, "word": " now", "probability": 0.60546875}, {"start": 1844.64, "end": 1846.94, "word": " star", "probability": 0.6162109375}, {"start": 1846.94, "end": 1847.62, "word": " and", "probability": 0.9541015625}, {"start": 1847.62, "end": 1848.5, "word": " double", "probability": 0.927734375}, {"start": 1848.5, "end": 1849.1, "word": " star", "probability": 0.9453125}, {"start": 1849.1, "end": 1851.9, "word": " بيقدوا", "probability": 0.67822265625}, {"start": 1851.9, "end": 1854.46, "word": " انه", "probability": 0.718505859375}, {"start": 1854.46, "end": 1854.92, "word": " ال", "probability": 0.58984375}, {"start": 1854.92, "end": 1855.62, "word": " ..", "probability": 0.403564453125}, {"start": 1855.62, "end": 1856.98, "word": " هاي", "probability": 0.656982421875}, {"start": 1856.98, "end": 1857.36, "word": " عندي", "probability": 0.85986328125}, {"start": 1857.36, "end": 1858.0, "word": " absolute", "probability": 0.9169921875}, {"start": 1858.0, "end": 1858.96, "word": " x", "probability": 0.72705078125}, {"start": 1858.96, "end": 1860.42, "word": " k", "probability": 0.215087890625}, {"start": 1860.42, "end": 1860.98, "word": " n", "probability": 0.80078125}, {"start": 1860.98, "end": 1861.7, "word": " minus", "probability": 0.91796875}, {"start": 1861.7, "end": 1862.14, "word": " x", "probability": 0.97216796875}, {"start": 1862.14, "end": 1862.48, "word": " هذا", "probability": 0.6435546875}, {"start": 1862.48, "end": 1863.1, "word": " أصغر", "probability": 0.88134765625}, {"start": 1863.1, "end": 1863.36, "word": " من", "probability": 0.98974609375}, {"start": 1863.36, "end": 1863.82, "word": " epsilon", "probability": 0.56787109375}, {"start": 1863.82, "end": 1864.3, "word": " zero", "probability": 0.79150390625}], "temperature": 1.0}, {"id": 67, "seek": 188463, "start": 1866.49, "end": 1884.63, "text": "هذا من double star من هنا طب و من ال star انا عندي xrm المسافة بين xrm و x أكبر من او ساوي epsilon zero", "tokens": [3224, 15730, 9154, 3834, 3543, 9154, 34105, 23032, 3555, 4032, 9154, 2423, 3543, 1975, 8315, 18871, 16254, 2031, 81, 76, 9673, 3794, 31845, 3660, 49374, 2031, 81, 76, 4032, 2031, 5551, 4117, 26890, 9154, 1975, 2407, 8608, 995, 45865, 17889, 4018], "avg_logprob": -0.29334076316583724, "compression_ratio": 1.25, "no_speech_prob": 0.0, "words": [{"start": 1866.49, "end": 1866.91, "word": "هذا", "probability": 0.80029296875}, {"start": 1866.91, "end": 1867.11, "word": " من", "probability": 0.8447265625}, {"start": 1867.11, "end": 1867.37, "word": " double", "probability": 0.51025390625}, {"start": 1867.37, "end": 1867.91, "word": " star", "probability": 0.92333984375}, {"start": 1867.91, "end": 1869.59, "word": " من", "probability": 0.442138671875}, {"start": 1869.59, "end": 1869.91, "word": " هنا", "probability": 0.96923828125}, {"start": 1869.91, "end": 1872.11, "word": " طب", "probability": 0.859130859375}, {"start": 1872.11, "end": 1872.23, "word": " و", "probability": 0.9609375}, {"start": 1872.23, "end": 1872.39, "word": " من", "probability": 0.958984375}, {"start": 1872.39, "end": 1872.61, "word": " ال", "probability": 0.94140625}, {"start": 1872.61, "end": 1874.93, "word": " star", "probability": 0.845703125}, {"start": 1874.93, "end": 1878.33, "word": " انا", "probability": 0.781494140625}, {"start": 1878.33, "end": 1878.69, "word": " عندي", "probability": 0.786865234375}, {"start": 1878.69, "end": 1879.83, "word": " xrm", "probability": 0.50439453125}, {"start": 1879.83, "end": 1880.61, "word": " المسافة", "probability": 0.872802734375}, {"start": 1880.61, "end": 1880.85, "word": " بين", "probability": 0.9423828125}, {"start": 1880.85, "end": 1881.61, "word": " xrm", "probability": 0.9220377604166666}, {"start": 1881.61, "end": 1881.69, "word": " و", "probability": 0.89697265625}, {"start": 1881.69, "end": 1881.91, "word": " x", "probability": 0.87158203125}, {"start": 1881.91, "end": 1882.35, "word": " أكبر", "probability": 0.9127604166666666}, {"start": 1882.35, "end": 1882.51, "word": " من", "probability": 0.8369140625}, {"start": 1882.51, "end": 1882.65, "word": " او", "probability": 0.478515625}, {"start": 1882.65, "end": 1883.25, "word": " ساوي", "probability": 0.9015299479166666}, {"start": 1883.25, "end": 1884.15, "word": " epsilon", "probability": 0.1973876953125}, {"start": 1884.15, "end": 1884.63, "word": " zero", "probability": 0.76904296875}], "temperature": 1.0}, {"id": 68, "seek": 191680, "start": 1887.28, "end": 1916.8, "text": "و هذه sub sequence من ال sub sequence هذه يعني كل حد في ال sequence هذه هو حد في هذه و بالتالي ال sub sequence هذه بتحقق المتباينة star إذن هذا صحيح من star ال absolute الفرقة ده بطلع أكبر من أو ساوي epsilon zero الكلام هذا صحيح لكل n في M", "tokens": [2407, 29538, 1422, 8310, 9154, 2423, 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