diff --git "a/PL9fwy3NUQKwZkPblS_KlzYkzv5WfDGlKa/g1UMuLpn1XM_raw.json" "b/PL9fwy3NUQKwZkPblS_KlzYkzv5WfDGlKa/g1UMuLpn1XM_raw.json"
new file mode 100644--- /dev/null
+++ "b/PL9fwy3NUQKwZkPblS_KlzYkzv5WfDGlKa/g1UMuLpn1XM_raw.json"
@@ -0,0 +1 @@
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"probability": 0.71142578125}, {"start": 178.13, "end": 178.35, "word": " N", "probability": 0.79345703125}, {"start": 178.35, "end": 178.63, "word": " goes", "probability": 0.74609375}, {"start": 178.63, "end": 178.81, "word": " to", "probability": 0.9326171875}, {"start": 178.81, "end": 179.31, "word": " infinity", "probability": 0.74951171875}, {"start": 179.31, "end": 180.41, "word": " بساوي", "probability": 0.68353271484375}, {"start": 180.41, "end": 180.63, "word": " اللي", "probability": 0.56500244140625}, {"start": 180.63, "end": 180.87, "word": " هو", "probability": 0.9853515625}, {"start": 180.87, "end": 181.31, "word": " sum", "probability": 0.6708984375}, {"start": 181.31, "end": 181.79, "word": " اللي", "probability": 0.9306640625}, {"start": 181.79, "end": 182.11, "word": " هو", "probability": 0.98828125}, {"start": 182.11, "end": 182.85, "word": " number", "probability": 0.97607421875}, {"start": 182.85, "end": 183.19, "word": " اللي", "probability": 0.990478515625}, {"start": 183.19, "end": 183.31, "word": " هو", "probability": 0.98291015625}, {"start": 183.31, "end": 183.55, "word": " ال", "probability": 0.273681640625}, {"start": 183.55, "end": 184.45, "word": " zero", "probability": 0.2265625}, {"start": 184.45, "end": 185.09, "word": " بالظبط", "probability": 0.982421875}, {"start": 185.09, "end": 185.53, "word": " ال", "probability": 0.66162109375}, {"start": 185.53, "end": 185.77, "word": " number", "probability": 0.97998046875}, {"start": 185.77, "end": 185.85, "word": " اللي", "probability": 0.97607421875}, {"start": 185.85, "end": 186.13, "word": " بنحكي", "probability": 0.8837890625}, {"start": 186.13, "end": 186.33, "word": " عنه", "probability": 0.984619140625}, {"start": 186.33, "end": 186.59, "word": " مين", "probability": 0.86376953125}, {"start": 186.59, "end": 186.77, "word": " ال", "probability": 0.67138671875}, {"start": 186.77, "end": 187.03, "word": " zero", "probability": 0.87109375}], "temperature": 1.0}, {"id": 10, "seek": 21619, "start": 188.07, "end": 216.19, "text": "في الواقع أنا هذا الحديث أنا بعرفه لإن ال distance بين X و N أو X أبريل ألاف أو أرقام إذا هذه أرقام و كأنه sequence من أرقام بتديها تروح لمين للزيرو فعرفت ال convergence ال XN في اللي بروح لل X في ال metric space X بدلالة مين بدلالة اللي هو ال sequence of numbers اللي عندي خلفية عنها من خلال الريال الأصلي", "tokens": [41185, 2423, 14407, 4587, 3615, 41850, 23758, 21542, 16254, 12984, 41850, 45030, 28480, 3224, 5296, 28814, 1863, 2423, 4560, 49374, 1783, 4032, 426, 34051, 1783, 5551, 3555, 16572, 1211, 5551, 15040, 5172, 34051, 5551, 2288, 4587, 10943, 11933, 15730, 29538, 5551, 2288, 4587, 10943, 4032, 9122, 33456, 3224, 8310, 9154, 5551, 2288, 4587, 10943, 39894, 16254, 11296, 6055, 32887, 5016, 32767, 9957, 24976, 11622, 1829, 32887, 6156, 3615, 28480, 2655, 2423, 32181, 2423, 1783, 45, 8978, 13672, 1829, 4724, 32887, 5016, 24976, 1783, 8978, 2423, 20678, 1901, 1783, 47525, 1211, 6027, 3660, 3714, 9957, 47525, 1211, 6027, 3660, 13672, 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0.93212890625}, {"start": 204.59, "end": 205.41, "word": " X", "probability": 0.81298828125}, {"start": 205.41, "end": 206.49, "word": " بدلالة", "probability": 0.879638671875}, {"start": 206.49, "end": 206.99, "word": " مين", "probability": 0.8701171875}, {"start": 206.99, "end": 208.07, "word": " بدلالة", "probability": 0.949462890625}, {"start": 208.07, "end": 208.33, "word": " اللي", "probability": 0.974365234375}, {"start": 208.33, "end": 208.67, "word": " هو", "probability": 0.98876953125}, {"start": 208.67, "end": 209.69, "word": " ال", "probability": 0.90771484375}, {"start": 209.69, "end": 210.97, "word": " sequence", "probability": 0.525390625}, {"start": 210.97, "end": 211.37, "word": " of", "probability": 0.96826171875}, {"start": 211.37, "end": 211.97, "word": " numbers", "probability": 0.89990234375}, {"start": 211.97, "end": 212.85, "word": " اللي", "probability": 0.9873046875}, {"start": 212.85, "end": 213.23, "word": " عندي", "probability": 0.89306640625}, {"start": 213.23, "end": 213.69, "word": " خلفية", "probability": 0.8992513020833334}, {"start": 213.69, "end": 214.25, "word": " عنها", "probability": 0.99609375}, {"start": 214.25, "end": 214.85, "word": " من", "probability": 0.68896484375}, {"start": 214.85, "end": 215.33, "word": " خلال", "probability": 0.9913736979166666}, {"start": 215.33, "end": 215.73, "word": " الريال", "probability": 0.7483723958333334}, {"start": 215.73, "end": 216.19, "word": " الأصلي", "probability": 0.7491861979166666}], "temperature": 1.0}, {"id": 11, "seek": 23356, "start": 216.64, "end": 233.56, "text": "هذا معناه الـ convergence in this case X is called the limit of Xn يعني X اللي هي X هي limit لل Xn or Xn converge to X and we write limit Xn بسوا X or Xn goes to infinity أو simply زي ما كتبت Xn بتروح لل X", "tokens": [3224, 15730, 20449, 8315, 3224, 2423, 39184, 32181, 294, 341, 1389, 1783, 307, 1219, 264, 4948, 295, 1783, 77, 37495, 22653, 1783, 13672, 1829, 39896, 1783, 39896, 4948, 24976, 1783, 77, 420, 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{"start": 221.1, "end": 221.26, "word": " is", "probability": 0.66357421875}, {"start": 221.26, "end": 221.52, "word": " called", "probability": 0.82373046875}, {"start": 221.52, "end": 221.68, "word": " the", "probability": 0.64697265625}, {"start": 221.68, "end": 221.9, "word": " limit", "probability": 0.95458984375}, {"start": 221.9, "end": 222.04, "word": " of", "probability": 0.91845703125}, {"start": 222.04, "end": 222.44, "word": " Xn", "probability": 0.5772705078125}, {"start": 222.44, "end": 222.98, "word": " يعني", "probability": 0.6392822265625}, {"start": 222.98, "end": 223.24, "word": " X", "probability": 0.55029296875}, {"start": 223.24, "end": 223.44, "word": " اللي", "probability": 0.58660888671875}, {"start": 223.44, "end": 223.58, "word": " هي", "probability": 0.90673828125}, {"start": 223.58, "end": 223.84, "word": " X", "probability": 0.87451171875}, {"start": 223.84, "end": 224.0, "word": " هي", "probability": 0.96142578125}, {"start": 224.0, "end": 224.34, "word": " limit", "probability": 0.91650390625}, {"start": 224.34, "end": 224.52, "word": " لل", "probability": 0.779296875}, {"start": 224.52, "end": 224.92, "word": " Xn", "probability": 0.706787109375}, {"start": 224.92, "end": 225.52, "word": " or", "probability": 0.64501953125}, {"start": 225.52, "end": 225.92, "word": " Xn", "probability": 0.959716796875}, {"start": 225.92, "end": 226.38, "word": " converge", "probability": 0.6005859375}, {"start": 226.38, "end": 226.56, "word": " to", "probability": 0.9150390625}, {"start": 226.56, "end": 226.82, "word": " X", "probability": 0.9921875}, {"start": 226.82, "end": 227.38, "word": " and", "probability": 0.90576171875}, {"start": 227.38, "end": 227.56, "word": " we", "probability": 0.81884765625}, {"start": 227.56, "end": 227.86, "word": " write", "probability": 0.9091796875}, {"start": 227.86, "end": 228.1, "word": " limit", "probability": 0.95751953125}, {"start": 228.1, "end": 228.46, "word": " Xn", "probability": 0.968994140625}, {"start": 228.46, "end": 228.76, "word": " بسوا", "probability": 0.7083333333333334}, {"start": 228.76, "end": 229.04, "word": " X", "probability": 0.8359375}, {"start": 229.04, "end": 229.38, "word": " or", "probability": 0.52734375}, {"start": 229.38, "end": 230.0, "word": " Xn", "probability": 0.708984375}, {"start": 230.0, "end": 230.18, "word": " goes", "probability": 0.53662109375}, {"start": 230.18, "end": 230.28, "word": " to", "probability": 0.9091796875}, {"start": 230.28, "end": 230.64, "word": " infinity", "probability": 0.77880859375}, {"start": 230.64, "end": 231.28, "word": " أو", "probability": 0.818359375}, {"start": 231.28, "end": 231.7, "word": " simply", "probability": 0.86083984375}, {"start": 231.7, "end": 231.92, "word": " زي", "probability": 0.892822265625}, {"start": 231.92, "end": 232.0, "word": " ما", "probability": 0.96435546875}, {"start": 232.0, "end": 232.48, "word": " كتبت", "probability": 0.9884033203125}, {"start": 232.48, "end": 232.8, "word": " Xn", 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{"start": 875.16, "end": 875.8, "word": " A", "probability": 0.4404296875}, {"start": 875.8, "end": 876.48, "word": " إذا", "probability": 0.747802734375}, {"start": 876.48, "end": 877.16, "word": " أكيد", "probability": 0.9337565104166666}, {"start": 877.16, "end": 877.78, "word": " أكيد", "probability": 0.9322916666666666}, {"start": 877.78, "end": 878.14, "word": " أكيد", "probability": 0.97802734375}, {"start": 878.14, "end": 878.42, "word": " صار", "probability": 0.945556640625}, {"start": 878.42, "end": 878.76, "word": " عندي", "probability": 0.88037109375}, {"start": 878.76, "end": 879.64, "word": " D", "probability": 0.48828125}, {"start": 879.64, "end": 880.54, "word": " X", "probability": 0.91796875}, {"start": 880.54, "end": 880.98, "word": " M", "probability": 0.60400390625}], "temperature": 1.0}, {"id": 40, "seek": 90977, "start": 881.93, "end": 909.77, "text": "وأي x موجودة اللي هو عندى في ال sequence اللي هي xm و ال x تبعتي هي اللي بقى بحكي عنها أصغر من الواحد زائد a ليش؟ لإن الآن ال a هي ال maximum لمسافاتي ده موجودة أو سفر صح ولا لأ؟ الآن ال .. ال .. ال x واحد لعند ال xk minus واحد أكيد أصغر من ال a لحالها", "tokens": [2407, 10721, 1829, 2031, 3714, 29245, 23328, 3660, 13672, 1829, 31439, 43242, 7578, 8978, 2423, 8310, 13672, 1829, 39896, 2031, 76, 4032, 2423, 2031, 6055, 3555, 3615, 31371, 39896, 13672, 1829, 4724, 4587, 7578, 4724, 5016, 4117, 1829, 18871, 11296, 5551, 9381, 17082, 2288, 9154, 2423, 14407, 24401, 30767, 16373, 3215, 257, 32239, 8592, 22807, 5296, 28814, 1863, 6024, 48506, 2423, 257, 39896, 2423, 6674, 32767, 3794, 31845, 9307, 1829, 11778, 3224, 3714, 29245, 23328, 3660, 34051, 8608, 5172, 2288, 20328, 5016, 49429, 5296, 10721, 22807, 6024, 48506, 2423, 4386, 2423, 4386, 2423, 2031, 36764, 24401, 5296, 3615, 41260, 2423, 2031, 74, 3175, 36764, 24401, 5551, 4117, 25708, 5551, 9381, 17082, 2288, 9154, 2423, 257, 5296, 5016, 6027, 11296], "avg_logprob": -0.2160156241307656, "compression_ratio": 1.8636363636363635, 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"word": " موجودة", "probability": 0.8875732421875}, {"start": 900.91, "end": 901.19, "word": " أو", "probability": 0.896484375}, {"start": 901.19, "end": 901.51, "word": " سفر", "probability": 0.7003580729166666}, {"start": 901.51, "end": 902.01, "word": " صح", "probability": 0.938720703125}, {"start": 902.01, "end": 902.17, "word": " ولا", "probability": 0.88525390625}, {"start": 902.17, "end": 902.93, "word": " لأ؟", "probability": 0.74853515625}, {"start": 902.93, "end": 903.35, "word": " الآن", "probability": 0.73681640625}, {"start": 903.35, "end": 904.09, "word": " ال", "probability": 0.9892578125}, {"start": 904.09, "end": 904.09, "word": " ..", "probability": 0.362548828125}, {"start": 904.09, "end": 904.43, "word": " ال", "probability": 0.97119140625}, {"start": 904.43, "end": 904.43, "word": " ..", "probability": 0.94287109375}, {"start": 904.43, "end": 904.71, "word": " ال", "probability": 0.97509765625}, {"start": 904.71, "end": 905.01, "word": " x", "probability": 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{"start": 1346.72, "end": 1347.8, "word": " إذا", "probability": 0.84228515625}, {"start": 1347.8, "end": 1348.08, "word": " كان", "probability": 0.98876953125}, {"start": 1348.08, "end": 1348.7, "word": " every", "probability": 0.79638671875}, {"start": 1348.7, "end": 1349.38, "word": " Cauchy", "probability": 0.9002278645833334}, {"start": 1349.38, "end": 1349.96, "word": " sequence", "probability": 0.97607421875}, {"start": 1349.96, "end": 1350.52, "word": " converts", "probability": 0.580078125}], "temperature": 1.0}, {"id": 59, "seek": 136474, "start": 1351.74, "end": 1364.74, "text": "إذا بتذكروا في تحليل واحد لما حكينا عن العلاقة بين الـ Cauchy Sequences والـ Convergent Sequences قلنا أيش؟ قلنا Any Convergent Sequences Cauchy وكان برهانة سهل", "tokens": [28814, 15730, 39894, 8848, 37983, 14407, 8978, 6055, 5016, 20292, 1211, 36764, 24401, 5296, 15042, 11331, 4117, 1829, 8315, 18871, 18863, 15040, 28671, 49374, 2423, 39184, 7544, 625, 88, 46859, 2667, 16070, 39184, 2656, 331, 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{"start": 1362.12, "end": 1362.88, "word": " Convergent", "probability": 0.9153645833333334}, {"start": 1362.88, "end": 1363.44, "word": " Sequences", "probability": 0.831787109375}, {"start": 1363.44, "end": 1363.78, "word": " Cauchy", "probability": 0.79541015625}, {"start": 1363.78, "end": 1364.0, "word": " وكان", "probability": 0.818603515625}, {"start": 1364.0, "end": 1364.42, "word": " برهانة", "probability": 0.90068359375}, {"start": 1364.42, "end": 1364.74, "word": " سهل", "probability": 0.96875}], "temperature": 1.0}, {"id": 60, "seek": 139440, "start": 1365.42, "end": 1394.4, "text": "هتلاقي البرهان المشابه الآن العكس قلنا برضه بتحقق في R يعني اللي هي الـ Cauchy convergent بس كانت اتغلبنا شوية في البرهان خلينا نقول أصعب سنة بسيطة لكن كان برضه مش صعب يعني وكأنه ليش أنا بقوليك وكأنه الآن على تعريفي احنا بنقول ان ال space complete اذا كانت every Cauchy sequence converge طب في R كانت هيك R complete", "tokens": [3224, 2655, 15040, 38436, 2423, 26890, 3224, 7649, 9673, 8592, 16758, 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لكن اللي أمالها مش موجودة إذا إذا إحنا لما نحكي عن الـ Cauchy sequence", "tokens": [6027, 20292, 31439, 295, 15090, 3547, 9652, 2880, 5296, 7435, 3215, 2288, 16712, 1863, 9957, 25724, 3215, 2288, 16712, 1863, 9957, 37893, 3714, 29245, 23328, 8978, 2423, 39184, 1249, 11933, 15730, 19446, 30767, 6027, 37893, 3714, 29245, 23328, 8978, 2423, 39184, 1249, 12399, 11933, 15730, 20328, 9640, 43242, 4117, 2423, 39184, 7544, 625, 88, 8310, 13672, 1829, 8032, 18513, 13672, 1829, 9652, 2880, 5296, 7435, 3215, 2288, 16712, 1863, 9957, 8978, 2423, 39184, 497, 44381, 13672, 1829, 5551, 2304, 6027, 11296, 37893, 3714, 29245, 23328, 3660, 11933, 15730, 11933, 15730, 11933, 5016, 8315, 5296, 15042, 8717, 5016, 4117, 1829, 18871, 2423, 39184, 7544, 625, 88, 8310], "avg_logprob": -0.24415888491077958, "compression_ratio": 1.9950248756218905, "no_speech_prob": 1.1146068572998047e-05, "words": [{"start": 1509.53, "end": 1509.89, "word": "اللي", "probability": 0.642578125}, {"start": 1509.89, "end": 1510.11, 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"word": " عندك", "probability": 0.70263671875}, {"start": 1520.99, "end": 1521.09, "word": " الـ", "probability": 0.77294921875}, {"start": 1521.09, "end": 1521.27, "word": " Cauchy", "probability": 0.92578125}, {"start": 1521.27, "end": 1521.69, "word": " sequence", "probability": 0.63623046875}, {"start": 1521.69, "end": 1521.87, "word": " اللي", "probability": 0.926025390625}, {"start": 1521.87, "end": 1522.11, "word": " هاد", "probability": 0.3697509765625}, {"start": 1522.11, "end": 1522.23, "word": " اللي", "probability": 0.98193359375}, {"start": 1522.23, "end": 1522.63, "word": " converges", "probability": 0.7020263671875}, {"start": 1522.63, "end": 1524.59, "word": " لجدر", "probability": 0.81982421875}, {"start": 1524.59, "end": 1524.97, "word": " التنين", "probability": 0.9619140625}, {"start": 1524.97, "end": 1525.11, "word": " في", "probability": 0.904296875}, {"start": 1525.11, "end": 1525.27, "word": " الـ", "probability": 0.753662109375}, {"start": 1525.27, "end": 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1531.87, "word": " الـ", "probability": 0.87158203125}, {"start": 1531.87, "end": 1532.19, "word": " Cauchy", "probability": 0.9358723958333334}, {"start": 1532.19, "end": 1533.05, "word": " sequence", "probability": 0.92431640625}], "temperature": 1.0}, {"id": 67, "seek": 154973, "start": 1534.09, "end": 1549.73, "text": "هي في الواقع سلوك سلوك هو تقريبا بتقدر تقولي هو نفس سلوك ال convergence لكن بختلف في الآخر ان ال convergence بيروح ل limit ال limit هذه إذا في ال space", "tokens": [3224, 1829, 8978, 2423, 14407, 4587, 3615, 8608, 1211, 2407, 4117, 8608, 1211, 2407, 4117, 31439, 6055, 4587, 16572, 3555, 995, 39894, 28543, 2288, 6055, 39648, 1829, 31439, 8717, 36178, 8608, 1211, 2407, 4117, 2423, 32181, 44381, 4724, 46456, 46538, 8978, 6024, 95, 34740, 16472, 2423, 32181, 4724, 13546, 2407, 5016, 5296, 4948, 2423, 4948, 29538, 11933, 15730, 8978, 2423, 1901], "avg_logprob": -0.15952621376322162, "compression_ratio": 1.5771812080536913, "no_speech_prob": 9.417533874511719e-06, "words": 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"probability": 0.8505859375}, {"start": 1546.95, "end": 1547.81, "word": " ال", "probability": 0.51318359375}, {"start": 1547.81, "end": 1548.15, "word": " limit", "probability": 0.9560546875}, {"start": 1548.15, "end": 1548.53, "word": " هذه", "probability": 0.64990234375}, {"start": 1548.53, "end": 1548.89, "word": " إذا", "probability": 0.794189453125}, {"start": 1548.89, "end": 1549.03, "word": " في", "probability": 0.94970703125}, {"start": 1549.03, "end": 1549.13, "word": " ال", "probability": 0.95458984375}, {"start": 1549.13, "end": 1549.73, "word": " space", "probability": 0.9609375}], "temperature": 1.0}, {"id": 68, "seek": 157110, "start": 1550.78, "end": 1571.1, "text": "بصير إيه أشمالها الـ sequence converges إذا مش في ال space بظل كوشي لكن مش .. و هنا بحكم .. نحكم على ال space انه complete أو لأ من خلال هذه الخاصية إذا ال .. ال كوشي sequences هي في الواقع بتريحني أحيانا إنه أنا أصلا مش عارف ال limit", "tokens": [3555, 9381, 13546, 11933, 1829, 3224, 5551, 8592, 2304, 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رايحة لإشي بتتكوم حوالين إشي ماشي الحال فالان روحها حوالين نقطة معينة يمكن أني مايعرفوش أنا", "tokens": [1211, 19452, 41850, 45030, 28480, 8608, 1211, 2407, 4117, 13672, 1829, 39896, 2423, 39184, 8310, 13672, 1829, 5296, 10721, 39896, 8608, 1211, 2407, 4117, 39896, 35186, 6225, 2304, 29538, 8608, 1211, 2407, 4117, 12602, 47302, 5016, 3660, 12602, 47302, 5016, 3660, 5296, 28814, 8592, 1829, 39894, 2655, 4117, 20498, 11331, 2407, 6027, 9957, 11933, 8592, 1829, 3714, 33599, 1829, 21542, 6027, 6156, 6027, 7649, 12602, 2407, 5016, 11296, 11331, 2407, 6027, 9957, 8717, 47432, 3660, 20449, 9957, 3660, 7251, 43020, 14739, 1829, 19446, 40228, 28480, 2407, 8592, 41850], "avg_logprob": -0.1804775254110272, "compression_ratio": 1.7797619047619047, "no_speech_prob": 4.291534423828125e-06, "words": [{"start": 1571.94, "end": 1572.36, "word": "لكن", "probability": 0.79443359375}, {"start": 1572.36, "end": 1572.52, "word": " أنا", "probability": 0.72021484375}, {"start": 1572.52, "end": 1572.82, 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و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. و ..", "tokens": [1211, 19452, 11778, 3224, 6225, 9640, 5172, 36145, 8032, 15042, 10874, 22488, 9307, 44650, 4117, 2407, 11703, 1863, 9154, 10874, 7649, 3555, 45030, 11242, 12399, 11933, 15730, 8608, 1211, 2407, 4117, 16095, 36145, 3224, 10874, 22488, 9307, 4032, 4117, 33456, 3224, 28242, 16095, 4724, 32887, 5016, 11331, 2407, 6027, 16095, 9154, 9566, 28671, 20449, 9957, 3660, 4032, 4386, 4032, 4386, 4032, 4386, 4032, 4386, 4032, 4386, 4032, 4386, 4032, 4386, 4032, 4386, 4032, 4386, 4032, 4386, 4032, 4386, 4032, 4386, 4032, 4386, 4032, 4386, 4032, 4386, 4032, 4386, 4032, 4386, 4032, 4386, 4032, 4386, 4032, 4386, 4032, 4386, 4032, 4386, 4032, 4386, 4032, 4386, 4032, 4386, 4032, 4386, 4032, 4386, 4032, 4386, 4032, 4386, 4032, 4386, 4032, 4386, 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{"start": 1739.42, "end": 1739.6, "word": " لي", "probability": 0.393310546875}, {"start": 1739.6, "end": 1739.84, "word": " ال", "probability": 0.86181640625}, {"start": 1739.84, "end": 1740.24, "word": " convergence", "probability": 0.57470703125}, {"start": 1740.24, "end": 1740.56, "word": " اللي", "probability": 0.946044921875}, {"start": 1740.56, "end": 1740.64, "word": " في", "probability": 0.91650390625}, {"start": 1740.64, "end": 1740.82, "word": " R", "probability": 0.460205078125}, {"start": 1740.82, "end": 1741.0, "word": " تبع", "probability": 0.82763671875}, {"start": 1741.0, "end": 1741.36, "word": " الزمان", "probability": 0.8448486328125}, {"start": 1741.36, "end": 1742.02, "word": " لكن", "probability": 0.73583984375}, {"start": 1742.02, "end": 1742.2, "word": " مش", "probability": 0.9814453125}, {"start": 1742.2, "end": 1742.42, "word": " دايما", "probability": 0.9309895833333334}, {"start": 1742.42, "end": 1742.62, "word": " هذا", "probability": 0.86474609375}, {"start": 1742.62, "end": 1743.02, "word": " بظبط", "probability": 0.8131103515625}, {"start": 1743.02, "end": 1743.14, "word": " أو", "probability": 0.80126953125}, {"start": 1743.14, "end": 1743.28, "word": " مش", "probability": 0.9658203125}, {"start": 1743.28, "end": 1743.46, "word": " دايما", "probability": 0.96923828125}, {"start": 1743.46, "end": 1743.74, "word": " أخلهم", "probability": 0.60107421875}, {"start": 1743.74, "end": 1743.94, "word": " أقول", "probability": 0.7159423828125}, {"start": 1743.94, "end": 1744.64, "word": " بسعثني", "probability": 0.7693359375}, {"start": 1744.64, "end": 1745.56, "word": " الآن", "probability": 0.623046875}, {"start": 1745.56, "end": 1746.34, "word": " بدي", "probability": 0.8212890625}, {"start": 1746.34, "end": 1747.52, "word": " أحول", "probability": 0.9534505208333334}, {"start": 1747.52, "end": 1748.1, "word": " كل", "probability": 0.9775390625}, {"start": 1748.1, "end": 1748.62, "word": " الآن", "probability": 0.6480712890625}, {"start": 1748.62, "end": 1749.52, "word": " الحديث", "probability": 0.9840494791666666}, {"start": 1749.52, "end": 1750.04, "word": " من", "probability": 0.9833984375}, {"start": 1750.04, "end": 1750.26, "word": " ال", "probability": 0.97314453125}, {"start": 1750.26, "end": 1751.66, "word": " unconvergence", "probability": 0.7415364583333334}, {"start": 1751.66, "end": 1751.92, "word": " إلى", "probability": 0.84619140625}, {"start": 1751.92, "end": 1752.76, "word": " sequences", "probability": 0.8935546875}, {"start": 1752.76, "end": 1753.74, "word": " يعني", "probability": 0.952392578125}, {"start": 1753.74, "end": 1754.1, "word": " المفهوم", "probability": 0.983154296875}, {"start": 1754.1, "end": 1755.36, "word": " القاسي", "probability": 0.5699462890625}, {"start": 1755.36, "end": 1755.42, "word": " في", "probability": 0.796875}, {"start": 1755.42, "end": 1756.02, "word": " ال", "probability": 0.9013671875}, {"start": 1756.02, "end": 1756.46, "word": " closure", "probability": 0.60205078125}, {"start": 1756.46, "end": 1757.12, "word": " من", "probability": 0.95166015625}, {"start": 1757.12, "end": 1757.68, "word": " ال", "probability": 0.470458984375}, {"start": 1757.68, "end": 1758.08, "word": " closure", "probability": 0.493408203125}, {"start": 1758.08, "end": 1758.36, "word": " اللي", "probability": 0.957275390625}, {"start": 1758.36, "end": 1758.52, "word": " هو", "probability": 0.97607421875}, {"start": 1758.52, "end": 1759.64, "word": " بواسطة", "probability": 0.95126953125}, {"start": 1759.64, "end": 1759.78, "word": " ال", "probability": 0.93115234375}, {"start": 1759.78, "end": 1760.24, "word": " balls", "probability": 0.6591796875}, {"start": 1760.24, "end": 1761.04, "word": " إلى", "probability": 0.95947265625}, {"start": 1761.04, "end": 1762.38, "word": " حكي", "probability": 0.9508463541666666}, {"start": 1762.38, "end": 1763.42, "word": " بواسطة", "probability": 0.9912109375}, {"start": 1763.42, "end": 1763.6, "word": " ال", "probability": 0.94482421875}, {"start": 1763.6, "end": 1764.18, "word": " sequences", "probability": 0.8603515625}, {"start": 1764.18, "end": 1764.48, "word": " وده", "probability": 0.7439778645833334}, {"start": 1764.48, "end": 1765.04, "word": " أسهلنا", "probability": 0.89970703125}], "temperature": 1.0}, {"id": 78, "seek": 178837, "start": 1765.65, "end": 1788.37, "text": "بدأ قول let M be anonymous if and only if there exists a sequence xn in M such that xn بتروح لمين لل X إذن الآن بنقول إن ال X في ال M closure معناته أنه بقدر ألاقي sequence في ال M وعامالها كلها ال sequence بتروح لمين لل X", "tokens": [3555, 3215, 10721, 12174, 12610, 718, 376, 312, 24932, 498, 293, 787, 498, 456, 8198, 257, 8310, 2031, 77, 294, 376, 1270, 300, 2031, 77, 39894, 32887, 5016, 32767, 9957, 24976, 1783, 11933, 8848, 1863, 6024, 48506, 44945, 39648, 36145, 2423, 1783, 8978, 2423, 376, 24653, 20449, 8315, 47395, 14739, 3224, 4724, 28543, 2288, 5551, 15040, 38436, 8310, 8978, 2423, 376, 4032, 3615, 10943, 6027, 11296, 28242, 11296, 2423, 8310, 39894, 32887, 5016, 32767, 9957, 24976, 1783], "avg_logprob": -0.35356569366577345, "compression_ratio": 1.5532994923857868, "no_speech_prob": 1.5497207641601562e-06, "words": [{"start": 1765.65, "end": 1766.03, "word": "بدأ", "probability": 0.4410807291666667}, {"start": 1766.03, "end": 1766.27, "word": " قول", "probability": 0.6474609375}, {"start": 1766.27, "end": 1766.47, "word": " let", "probability": 0.4453125}, {"start": 1766.47, "end": 1766.65, "word": " M", "probability": 0.72705078125}, {"start": 1766.65, "end": 1766.79, "word": " be", "probability": 0.8408203125}, {"start": 1766.79, "end": 1767.05, "word": " anonymous", "probability": 0.1778564453125}, {"start": 1767.05, "end": 1767.39, "word": " if", "probability": 0.275634765625}, {"start": 1767.39, "end": 1768.81, "word": " and", "probability": 0.466064453125}, {"start": 1768.81, "end": 1772.31, "word": " only", "probability": 0.87841796875}, {"start": 1772.31, "end": 1772.59, "word": " if", "probability": 0.97900390625}, {"start": 1772.59, "end": 1772.75, "word": " there", "probability": 0.69677734375}, {"start": 1772.75, "end": 1773.21, "word": " exists", "probability": 0.76953125}, {"start": 1773.21, "end": 1773.39, "word": " a", "probability": 0.939453125}, {"start": 1773.39, "end": 1773.73, "word": " sequence", "probability": 0.9755859375}, {"start": 1773.73, "end": 1774.15, "word": " xn", "probability": 0.413330078125}, {"start": 1774.15, "end": 1774.31, "word": " in", "probability": 0.77490234375}, {"start": 1774.31, "end": 1774.47, "word": " M", "probability": 0.982421875}, {"start": 1774.47, "end": 1774.63, "word": " such", "probability": 0.78369140625}, {"start": 1774.63, "end": 1774.93, "word": " that", "probability": 0.93603515625}, {"start": 1774.93, "end": 1775.23, "word": " xn", "probability": 0.895751953125}, {"start": 1775.23, "end": 1775.53, "word": " بتروح", "probability": 0.8797200520833334}, {"start": 1775.53, "end": 1775.97, "word": " لمين", "probability": 0.786865234375}, {"start": 1775.97, "end": 1776.69, "word": " لل", "probability": 0.525390625}, {"start": 1776.69, "end": 1776.97, "word": " X", "probability": 0.32373046875}, {"start": 1776.97, "end": 1777.67, "word": " إذن", "probability": 0.4763997395833333}, {"start": 1777.67, "end": 1778.03, "word": " الآن", "probability": 0.72314453125}, {"start": 1778.03, "end": 1778.57, "word": " بنقول", "probability": 0.887451171875}, {"start": 1778.57, "end": 1778.77, "word": " إن", "probability": 0.59033203125}, {"start": 1778.77, "end": 1778.95, "word": " ال", "probability": 0.54833984375}, {"start": 1778.95, "end": 1779.27, "word": " X", "probability": 0.85107421875}, {"start": 1779.27, "end": 1779.79, "word": " في", "probability": 0.8603515625}, {"start": 1779.79, "end": 1779.87, "word": " ال", "probability": 0.59228515625}, {"start": 1779.87, "end": 1779.99, "word": " M", "probability": 0.88818359375}, {"start": 1779.99, "end": 1780.47, "word": " closure", "probability": 0.6005859375}, {"start": 1780.47, "end": 1781.43, "word": " معناته", "probability": 0.8409830729166666}, {"start": 1781.43, "end": 1782.13, "word": " أنه", "probability": 0.766845703125}, {"start": 1782.13, "end": 1782.43, "word": " بقدر", "probability": 0.9562174479166666}, {"start": 1782.43, "end": 1782.67, "word": " ألاقي", "probability": 0.85009765625}, {"start": 1782.67, "end": 1783.77, "word": " sequence", "probability": 0.473388671875}, {"start": 1783.77, "end": 1784.19, "word": " في", "probability": 0.93408203125}, {"start": 1784.19, "end": 1784.37, "word": " ال", "probability": 0.794921875}, {"start": 1784.37, "end": 1784.65, "word": " M", "probability": 0.98681640625}, {"start": 1784.65, "end": 1786.15, "word": " وعامالها", "probability": 0.7720703125}, {"start": 1786.15, "end": 1786.61, "word": " كلها", "probability": 0.917724609375}, {"start": 1786.61, "end": 1786.73, "word": " ال", "probability": 0.52099609375}, {"start": 1786.73, "end": 1787.05, "word": " sequence", "probability": 0.96728515625}, {"start": 1787.05, "end": 1787.43, "word": " بتروح", "probability": 0.9793294270833334}, {"start": 1787.43, "end": 1787.81, "word": " لمين", "probability": 0.90771484375}, {"start": 1787.81, "end": 1788.03, "word": " لل", "probability": 0.84521484375}, {"start": 1788.03, "end": 1788.37, "word": " X", "probability": 0.9794921875}], "temperature": 1.0}, {"id": 79, "seek": 180244, "start": 1788.9, "end": 1802.44, "text": "أه إذا ال M هذه متكرب سا .. ال .. ال XM متكرب سا حوالين ال X و XM ناقف ال M إذا أكيد هي limit point جوا هذا رفلي الكلام تشوف الكلام هذا بالتفصيل الأن", "tokens": [10721, 3224, 11933, 15730, 2423, 376, 29538, 44650, 37983, 3555, 8608, 995, 4386, 2423, 4386, 2423, 1783, 44, 44650, 37983, 3555, 8608, 995, 11331, 2407, 6027, 9957, 2423, 1783, 4032, 1783, 44, 8717, 995, 4587, 5172, 2423, 376, 11933, 15730, 5551, 4117, 25708, 39896, 4948, 935, 10874, 14407, 23758, 12602, 5172, 20292, 2423, 28820, 10943, 6055, 8592, 38688, 2423, 28820, 10943, 23758, 20666, 2655, 5172, 9381, 26895, 16247, 1863], "avg_logprob": -0.34888392984867095, "compression_ratio": 1.6133333333333333, "no_speech_prob": 1.6033649444580078e-05, "words": [{"start": 1788.9, "end": 1789.44, "word": "أه", "probability": 0.25872802734375}, {"start": 1789.44, "end": 1789.9, "word": " إذا", "probability": 0.58544921875}, {"start": 1789.9, "end": 1790.16, "word": " ال", "probability": 0.53076171875}, {"start": 1790.16, "end": 1790.4, "word": " M", "probability": 0.50830078125}, {"start": 1790.4, "end": 1790.72, "word": " هذه", "probability": 0.45703125}, {"start": 1790.72, "end": 1791.7, "word": " متكرب", "probability": 0.7208658854166666}, {"start": 1791.7, "end": 1792.26, "word": " سا", "probability": 0.672607421875}, {"start": 1792.26, "end": 1792.32, "word": " ..", "probability": 0.55224609375}, {"start": 1792.32, "end": 1792.6, "word": " ال", "probability": 0.7548828125}, {"start": 1792.6, "end": 1792.76, "word": " ..", "probability": 0.47119140625}, {"start": 1792.76, "end": 1793.16, "word": " ال", "probability": 0.90234375}, {"start": 1793.16, "end": 1793.56, "word": " XM", "probability": 0.3614501953125}, {"start": 1793.56, "end": 1794.24, "word": " متكرب", "probability": 0.9876302083333334}, {"start": 1794.24, "end": 1794.42, "word": " سا", "probability": 0.9404296875}, {"start": 1794.42, "end": 1794.8, "word": " حوالين", "probability": 0.9381103515625}, {"start": 1794.8, "end": 1794.94, "word": " ال", "probability": 0.86376953125}, {"start": 1794.94, "end": 1795.2, "word": " X", "probability": 0.9716796875}, {"start": 1795.2, "end": 1795.34, "word": " و", "probability": 0.64501953125}, {"start": 1795.34, "end": 1795.8, "word": " XM", "probability": 0.38311767578125}, {"start": 1795.8, "end": 1796.08, "word": " ناقف", "probability": 0.58807373046875}, {"start": 1796.08, "end": 1796.2, "word": " ال", "probability": 0.75244140625}, {"start": 1796.2, "end": 1796.46, "word": " M", "probability": 0.9755859375}, {"start": 1796.46, "end": 1797.12, "word": " إذا", "probability": 0.843994140625}, {"start": 1797.12, "end": 1797.54, "word": " أكيد", "probability": 0.8855794270833334}, {"start": 1797.54, "end": 1797.74, "word": " هي", "probability": 0.904296875}, {"start": 1797.74, "end": 1798.06, "word": " limit", "probability": 0.385986328125}, {"start": 1798.06, "end": 1798.5, "word": " point", "probability": 0.97900390625}, {"start": 1798.5, "end": 1798.98, "word": " جوا", "probability": 0.626220703125}, {"start": 1798.98, "end": 1799.94, "word": " هذا", "probability": 0.72412109375}, {"start": 1799.94, "end": 1800.3, "word": " رفلي", "probability": 0.73828125}, {"start": 1800.3, "end": 1800.74, "word": " الكلام", "probability": 0.9720052083333334}, {"start": 1800.74, "end": 1801.2, "word": " تشوف", "probability": 0.7351888020833334}, {"start": 1801.2, "end": 1801.56, "word": " الكلام", "probability": 0.9537760416666666}, {"start": 1801.56, "end": 1801.76, "word": " هذا", "probability": 0.91064453125}, {"start": 1801.76, "end": 1802.2, "word": " بالتفصيل", "probability": 0.9154296875}, {"start": 1802.2, "end": 1802.44, "word": " الأن", "probability": 0.7177734375}], "temperature": 1.0}, {"id": 80, "seek": 182875, "start": 1804.15, "end": 1828.75, "text": "الآن بدنا نعرف اللي هو الـ M closed برضه بمانعش نقعد نقول والله الـ compliment لها اه بانه نقعد نفحص انه اه بان معناته انه خدوا اي نقطة و بتلاقوا اه اه نبرهو جواتها يكون كله في جوات اللي هي الـ M compliment لأ أسهلنا أسهلنا نحكي عن Sequences M is closed if and only if the situation X and element in M و X and بتروح لل X and why is that X element in M يعني بقول ليه", "tokens": [6027, 148, 48506, 47525, 8315, 8717, 3615, 28480, 13672, 1829, 31439, 2423, 39184, 376, 2611, 292, 4724, 43042, 3224, 4724, 2304, 7649, 3615, 8592, 8717, 4587, 22488, 8717, 39648, 16070, 43761, 2423, 39184, 16250, 5296, 11296, 1975, 3224, 4724, 7649, 3224, 8717, 4587, 22488, 8717, 5172, 5016, 9381, 16472, 3224, 1975, 3224, 4724, 7649, 20449, 8315, 47395, 16472, 3224, 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"end": 2985.56, "text": "Conversely نفرض أن الشرط تحقق و بدنا نثبت ال continuity طيب Conversely", "tokens": [9838, 840, 736, 8717, 5172, 43042, 14739, 25124, 2288, 9566, 6055, 5016, 4587, 4587, 4032, 47525, 8315, 8717, 12984, 3555, 2655, 2423, 23807, 23032, 1829, 3555, 33247, 736], "avg_logprob": -0.34455817732317695, "compression_ratio": 1.03125, "no_speech_prob": 2.205371856689453e-06, "words": [{"start": 2967.6400000000003, "end": 2968.7200000000003, "word": "Conversely", "probability": 0.6656901041666666}, {"start": 2968.7200000000003, "end": 2969.8, "word": " نفرض", "probability": 0.687255859375}, {"start": 2969.8, "end": 2970.0, "word": " أن", "probability": 0.4970703125}, {"start": 2970.0, "end": 2970.34, "word": " الشرط", "probability": 0.9138997395833334}, {"start": 2970.34, "end": 2970.96, "word": " تحقق", "probability": 0.9229736328125}, {"start": 2970.96, "end": 2971.86, "word": " و", "probability": 0.6298828125}, {"start": 2971.86, "end": 2972.14, "word": " بدنا", 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{"start": 2998.68, "end": 2998.9, "word": " الـ", "probability": 0.44952392578125}, {"start": 2998.9, "end": 2999.34, "word": " Xₙ", "probability": 0.7013346354166666}, {"start": 2999.34, "end": 2999.9, "word": " نستخدم", "probability": 0.7689208984375}, {"start": 2999.9, "end": 3000.04, "word": " الـ", "probability": 0.69970703125}, {"start": 3000.04, "end": 3000.7, "word": " Contradiction", "probability": 0.8408203125}, {"start": 3000.7, "end": 3001.24, "word": " نفترض", "probability": 0.786865234375}, {"start": 3001.24, "end": 3001.62, "word": " العكس", "probability": 0.9659830729166666}, {"start": 3001.62, "end": 3001.74, "word": " و", "probability": 0.9658203125}, {"start": 3001.74, "end": 3001.94, "word": " نصل", "probability": 0.86767578125}, {"start": 3001.94, "end": 3002.82, "word": " لإيش؟", "probability": 0.703515625}, {"start": 3002.82, "end": 3003.44, "word": " لتناقض", "probability": 0.9697265625}, {"start": 3003.44, "end": 3004.22, "word": " أه،", "probability": 0.4840494791666667}, {"start": 3004.22, "end": 3004.52, "word": " بدنا", "probability": 0.86572265625}, {"start": 3004.52, "end": 3004.98, "word": " نفترض", "probability": 0.9967041015625}, {"start": 3004.98, "end": 3005.2, "word": " أن", "probability": 0.64111328125}, {"start": 3005.2, "end": 3005.52, "word": " T", "probability": 0.87060546875}, {"start": 3005.52, "end": 3005.8, "word": " مش", "probability": 0.939453125}, {"start": 3005.8, "end": 3006.44, "word": " continuous", "probability": 0.90283203125}, {"start": 3006.44, "end": 3006.72, "word": " عند", "probability": 0.97509765625}, {"start": 3006.72, "end": 3006.88, "word": " ال", "probability": 0.7890625}, {"start": 3006.88, "end": 3007.26, "word": " Xₙ", "probability": 0.8645833333333334}], "temperature": 1.0}, {"id": 131, "seek": 301138, "start": 3007.92, "end": 3011.38, "text": "Suppose that T is not continuous at X0", "tokens": [50, 10504, 541, 300, 314, 307, 406, 10957, 412, 1783, 15], "avg_logprob": -0.4615885317325592, "compression_ratio": 0.8444444444444444, "no_speech_prob": 0.96484375, "words": [{"start": 3007.92, "end": 3008.72, "word": "Suppose", "probability": 0.6951904296875}, {"start": 3008.72, "end": 3009.14, "word": " that", "probability": 0.869140625}, {"start": 3009.14, "end": 3009.52, "word": " T", "probability": 0.75341796875}, {"start": 3009.52, "end": 3009.76, "word": " is", "probability": 0.83056640625}, {"start": 3009.76, "end": 3010.04, "word": " not", "probability": 0.94189453125}, {"start": 3010.04, "end": 3010.62, "word": " continuous", "probability": 0.861328125}, {"start": 3010.62, "end": 3010.9, "word": " at", "probability": 0.9697265625}, {"start": 3010.9, "end": 3011.38, "word": " X0", "probability": 0.5548095703125}], "temperature": 1.0}, {"id": 132, "seek": 305435, "start": 3038.31, "end": 3054.35, "text": "إذن يعني بمعنى آخر بقى كأني بدي أقول for every واحد على N يعني for every N بقدر ألاقي XN بحيث أنه المسافة بين XN و X0 تكون أصغر من Delta حسب هذا", "tokens": [28814, 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{"start": 3052.83, "end": 3052.99, "word": " من", "probability": 0.98974609375}, {"start": 3052.99, "end": 3053.41, "word": " Delta", "probability": 0.63623046875}, {"start": 3053.41, "end": 3054.05, "word": " حسب", "probability": 0.913818359375}, {"start": 3054.05, "end": 3054.35, "word": " هذا", "probability": 0.962890625}], "temperature": 1.0}, {"id": 133, "seek": 308037, "start": 3055.23, "end": 3080.37, "text": "Such that d dxn و dx0 ايش مالها أكبر أو يساوي إبسلون هذا إيش معناته هذا معناته هذي مدام أصغر من أي دلتا في الدنيا معناته ال dxn بتروح لمين لل x note أو ال xn بتروح لل x note لكن هذي بتعني إيش but dxn does not converge to mean to dx0 وهذا يناقض المعطى thus أو this contradicts the assumption", "tokens": [50, 625, 300, 274, 30017, 77, 4032, 30017, 15, 1975, 1829, 8592, 3714, 6027, 11296, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 11933, 3555, 3794, 1211, 11536, 23758, 11933, 1829, 8592, 20449, 8315, 47395, 23758, 20449, 8315, 47395, 8032, 8848, 1829, 3714, 3215, 10943, 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اللي هو star ستة و تمانية و ال homework الباقي هذا بتحلو انتوا و بارك الله فيكم الله يعطيكوا العافية", "tokens": [15456, 845, 256, 307, 10957, 412, 2031, 13138, 37037, 2407, 9673, 9566, 1211, 37746, 4724, 1829, 30544, 39896, 4117, 1975, 5016, 8315, 16490, 1211, 9381, 8315, 9673, 5016, 46958, 25720, 4032, 3615, 8315, 14578, 13672, 1829, 31439, 13672, 1829, 47525, 24793, 6055, 3794, 19528, 2407, 3224, 13672, 1829, 31439, 3543, 8608, 2655, 3660, 4032, 46811, 7649, 10632, 4032, 2423, 14578, 29739, 995, 38436, 23758, 39894, 5016, 1211, 2407, 16472, 2655, 14407, 4032, 4724, 9640, 4117, 21984, 8978, 24793, 21984, 37495, 9566, 1829, 4117, 14407, 18863, 31845, 10632], "avg_logprob": -0.25745737654241646, "compression_ratio": 1.6445497630331753, "no_speech_prob": 0.00013899803161621094, "words": [{"start": 3082.7, "end": 3083.66, "word": "therefore", "probability": 0.493743896484375}, {"start": 3083.66, "end": 3083.88, "word": " t", "probability": 0.20556640625}, {"start": 3083.88, "end": 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\ No newline at end of file