diff --git "a/PL9fwy3NUQKwavFmspRNWAhbDWNXQPDNlH/2PcqkFMSAOE_raw.json" "b/PL9fwy3NUQKwavFmspRNWAhbDWNXQPDNlH/2PcqkFMSAOE_raw.json" new file mode 100644--- /dev/null +++ "b/PL9fwy3NUQKwavFmspRNWAhbDWNXQPDNlH/2PcqkFMSAOE_raw.json" @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 2271, "start": 4.91, "end": 22.71, "text": "بسم الله الرحمن الرحيم الحمد لله رب العالمين والصلاة والسلام على سيد المرسلين سيدنا محمد على آله وصحبه أجمعين هذه هي المحاضرة رقم 22 في مساق تحليل حقيقة نيل لطلاب وطالبات الجامعة الإسلامية", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 21542, 2304, 3215, 24976, 3224, 12602, 3555, 18863, 45340, 9957, 16070, 9381, 15040, 3660, 16070, 3794, 37440, 15844, 8608, 25708, 9673, 2288, 3794, 1211, 9957, 8608, 25708, 8315, 3714, 35571, 3215, 15844, 19753, 43761, 4032, 9381, 5016, 3555, 3224, 5551, 7435, 2304, 3615, 9957, 29538, 39896, 9673, 5016, 46958, 25720, 12602, 4587, 2304, 5853, 8978, 47524, 995, 4587, 6055, 5016, 20292, 1211, 11331, 38436, 28671, 8717, 26895, 5296, 9566, 15040, 3555, 4032, 9566, 6027, 3555, 9307, 25724, 10943, 27884, 33688, 3794, 37440, 10632], "avg_logprob": -0.07346270321517863, "compression_ratio": 1.8895027624309393, "no_speech_prob": 8.96453857421875e-05, "words": [{"start": 4.91, "end": 5.27, "word": "بسم", "probability": 0.892578125}, {"start": 5.27, "end": 5.49, "word": " الله", "probability": 0.95458984375}, {"start": 5.49, "end": 5.91, "word": " الرحمن", "probability": 0.9768880208333334}, {"start": 5.91, "end": 6.39, "word": " الرحيم", "probability": 0.9949544270833334}, {"start": 6.39, "end": 6.83, "word": " الحمد", "probability": 0.8907877604166666}, {"start": 6.83, "end": 7.21, "word": " لله", "probability": 0.947265625}, {"start": 7.21, "end": 7.43, "word": " رب", "probability": 0.98095703125}, {"start": 7.43, "end": 8.19, "word": " العالمين", "probability": 0.9938151041666666}, {"start": 8.19, "end": 8.75, "word": " والصلاة", "probability": 0.89892578125}, {"start": 8.75, "end": 9.27, "word": " والسلام", "probability": 0.9720052083333334}, {"start": 9.27, "end": 9.51, "word": " على", "probability": 0.685546875}, {"start": 9.51, "end": 9.89, "word": " سيد", "probability": 0.97021484375}, {"start": 9.89, "end": 10.67, "word": " المرسلين", "probability": 0.98486328125}, {"start": 10.67, "end": 11.53, "word": " سيدنا", "probability": 0.974609375}, {"start": 11.53, "end": 12.01, "word": " محمد", "probability": 0.9827473958333334}, {"start": 12.01, "end": 12.27, "word": " على", "probability": 0.44970703125}, {"start": 12.27, "end": 12.63, "word": " آله", "probability": 0.96533203125}, {"start": 12.63, "end": 13.19, "word": " وصحبه", "probability": 0.9400390625}, {"start": 13.19, "end": 13.81, "word": " أجمعين", "probability": 0.905078125}, {"start": 13.81, "end": 14.65, "word": " هذه", "probability": 0.9326171875}, {"start": 14.65, "end": 14.85, "word": " هي", "probability": 0.65185546875}, {"start": 14.85, "end": 15.49, "word": " المحاضرة", "probability": 0.9910888671875}, {"start": 15.49, "end": 15.97, "word": " رقم", "probability": 0.978515625}, {"start": 15.97, "end": 16.81, "word": " 22", "probability": 0.83837890625}, {"start": 16.81, "end": 17.71, "word": " في", "probability": 0.95654296875}, {"start": 17.71, "end": 18.47, "word": " مساق", "probability": 0.9508463541666666}, {"start": 18.47, "end": 19.29, "word": " تحليل", "probability": 0.97607421875}, {"start": 19.29, "end": 19.79, "word": " حقيقة", "probability": 0.8810221354166666}, {"start": 19.79, "end": 20.15, "word": " نيل", "probability": 0.762451171875}, {"start": 20.15, "end": 20.75, "word": " لطلاب", "probability": 0.8990478515625}, {"start": 20.75, "end": 21.49, "word": " وطالبات", "probability": 0.97041015625}, {"start": 21.49, "end": 21.95, "word": " الجامعة", "probability": 0.9881184895833334}, {"start": 21.95, "end": 22.71, "word": " الإسلامية", "probability": 0.93798828125}], "temperature": 1.0}, {"id": 2, "seek": 5211, "start": 23.49, "end": 52.11, "text": "قسم الرياضيات في كلية العلوم عنوان المحاضرة اليوم هنكمل chapter تمانية هيكون في عندي اللي هو applications على اللي هي تمانية اللي هي واحد و تمانية اتنين المحاضرة اليوم اللي هي هنحكي عن the exponential and the logarithmic functions هنحكي عن اللي هو دالة ال E to the X ودالة ال Lin أو دالة ال log", "tokens": [4587, 38251, 2423, 16572, 46958, 1829, 9307, 8978, 28242, 10632, 18863, 1211, 20498, 18871, 2407, 7649, 9673, 5016, 46958, 25720, 45595, 20498, 8032, 1863, 24793, 1211, 7187, 46811, 7649, 10632, 39896, 30544, 8978, 18871, 16254, 13672, 1829, 31439, 5821, 15844, 13672, 1829, 39896, 46811, 7649, 10632, 13672, 1829, 39896, 36764, 24401, 4032, 46811, 7649, 10632, 1975, 2655, 1863, 9957, 9673, 5016, 46958, 25720, 45595, 20498, 13672, 1829, 39896, 8032, 1863, 5016, 4117, 1829, 18871, 264, 21510, 293, 264, 41473, 355, 13195, 6828, 8032, 1863, 5016, 4117, 1829, 18871, 13672, 1829, 31439, 11778, 6027, 3660, 2423, 462, 281, 264, 1783, 4032, 3215, 6027, 3660, 2423, 9355, 34051, 11778, 6027, 3660, 2423, 3565], "avg_logprob": -0.17173548654786178, "compression_ratio": 2.0219298245614037, "no_speech_prob": 7.092952728271484e-06, "words": [{"start": 23.49, "end": 23.93, "word": "قسم", "probability": 0.839599609375}, {"start": 23.93, "end": 25.11, "word": " الرياضيات", "probability": 0.931640625}, {"start": 25.11, "end": 26.07, "word": " في", "probability": 0.91357421875}, {"start": 26.07, "end": 26.75, "word": " كلية", "probability": 0.766357421875}, {"start": 26.75, "end": 27.35, "word": " العلوم", "probability": 0.9099934895833334}, {"start": 27.35, "end": 28.53, "word": " عنوان", "probability": 0.8479817708333334}, {"start": 28.53, "end": 29.15, "word": " المحاضرة", "probability": 0.987060546875}, {"start": 29.15, "end": 29.53, "word": " اليوم", "probability": 0.91845703125}, {"start": 29.53, "end": 30.17, "word": " هنكمل", "probability": 0.8538818359375}, {"start": 30.17, "end": 30.49, "word": " chapter", "probability": 0.705078125}, {"start": 30.49, "end": 31.09, "word": " تمانية", "probability": 0.77490234375}, {"start": 31.09, "end": 31.69, "word": " هيكون", "probability": 0.7293701171875}, {"start": 31.69, "end": 31.87, "word": " في", "probability": 0.8349609375}, {"start": 31.87, "end": 32.29, "word": " عندي", "probability": 0.699462890625}, {"start": 32.29, "end": 32.49, "word": " اللي", "probability": 0.891357421875}, {"start": 32.49, "end": 32.85, "word": " هو", "probability": 0.8427734375}, {"start": 32.85, "end": 33.87, "word": " applications", "probability": 0.94140625}, {"start": 33.87, "end": 34.39, "word": " على", "probability": 0.6591796875}, {"start": 34.39, "end": 34.65, "word": " اللي", "probability": 0.7132568359375}, {"start": 34.65, "end": 34.85, "word": " هي", "probability": 0.9384765625}, {"start": 34.85, "end": 35.53, "word": " تمانية", "probability": 0.9586588541666666}, {"start": 35.53, "end": 35.91, "word": " اللي", "probability": 0.7275390625}, {"start": 35.91, "end": 36.31, "word": " هي", "probability": 0.96044921875}, {"start": 36.31, "end": 37.01, "word": " واحد", "probability": 0.887939453125}, {"start": 37.01, "end": 37.13, "word": " و", "probability": 0.77392578125}, {"start": 37.13, "end": 37.43, "word": " تمانية", "probability": 0.9130859375}, {"start": 37.43, "end": 37.95, "word": " اتنين", "probability": 0.9588623046875}, {"start": 37.95, "end": 40.23, "word": " المحاضرة", "probability": 0.9906005859375}, {"start": 40.23, "end": 40.57, "word": " اليوم", "probability": 0.97265625}, {"start": 40.57, "end": 40.73, "word": " اللي", "probability": 0.750244140625}, {"start": 40.73, "end": 40.85, "word": " هي", "probability": 0.826171875}, {"start": 40.85, "end": 41.33, "word": " هنحكي", "probability": 0.9275390625}, {"start": 41.33, "end": 41.53, "word": " عن", "probability": 0.98388671875}, {"start": 41.53, "end": 41.63, "word": " the", "probability": 0.463623046875}, {"start": 41.63, "end": 41.97, "word": " exponential", "probability": 0.9287109375}, {"start": 41.97, "end": 42.59, "word": " and", "probability": 0.9140625}, {"start": 42.59, "end": 43.15, "word": " the", "probability": 0.5546875}, {"start": 43.15, "end": 44.71, "word": " logarithmic", "probability": 0.8917643229166666}, {"start": 44.71, "end": 45.63, "word": " functions", "probability": 0.822265625}, {"start": 45.63, "end": 46.51, "word": " هنحكي", "probability": 0.9513671875}, {"start": 46.51, "end": 46.73, "word": " عن", "probability": 0.9912109375}, {"start": 46.73, "end": 46.99, "word": " اللي", "probability": 0.9755859375}, {"start": 46.99, "end": 47.35, "word": " هو", "probability": 0.98779296875}, {"start": 47.35, "end": 48.07, "word": " دالة", "probability": 0.9620768229166666}, {"start": 48.07, "end": 48.33, "word": " ال", "probability": 0.79931640625}, {"start": 48.33, "end": 48.57, "word": " E", "probability": 0.64404296875}, {"start": 48.57, "end": 48.71, "word": " to", "probability": 0.83154296875}, {"start": 48.71, "end": 48.87, "word": " the", "probability": 0.8076171875}, {"start": 48.87, "end": 49.23, "word": " X", "probability": 0.9453125}, {"start": 49.23, "end": 50.17, "word": " ودالة", "probability": 0.9285888671875}, {"start": 50.17, "end": 50.35, "word": " ال", "probability": 0.70263671875}, {"start": 50.35, "end": 50.61, "word": " Lin", "probability": 0.080810546875}, {"start": 50.61, "end": 50.91, "word": " أو", "probability": 0.74462890625}, {"start": 50.91, "end": 51.55, "word": " دالة", "probability": 0.99169921875}, {"start": 51.55, "end": 51.83, "word": " ال", "probability": 0.802734375}, {"start": 51.83, "end": 52.11, "word": " log", "probability": 0.671875}], "temperature": 1.0}, {"id": 3, "seek": 6573, "start": 52.5, "end": 65.74, "text": "الان هنثبت اللي هو من خلال .. في البداية هنحكي عن اللي هو ال exponential function أو هنثبت اللي هو وجود ال exponential function", "tokens": [6027, 7649, 8032, 1863, 12984, 3555, 2655, 13672, 1829, 31439, 9154, 16490, 1211, 6027, 4386, 8978, 29739, 28259, 10632, 8032, 1863, 5016, 4117, 1829, 18871, 13672, 1829, 31439, 2423, 21510, 2445, 34051, 8032, 1863, 12984, 3555, 2655, 13672, 1829, 31439, 49610, 23328, 2423, 21510, 2445], "avg_logprob": -0.14775815703298734, "compression_ratio": 1.646551724137931, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 52.5, "end": 53.14, "word": "الان", "probability": 0.81884765625}, {"start": 53.14, "end": 54.46, "word": " هنثبت", "probability": 0.84892578125}, {"start": 54.46, "end": 54.8, "word": " اللي", "probability": 0.4910888671875}, {"start": 54.8, "end": 55.04, "word": " هو", "probability": 0.97216796875}, {"start": 55.04, "end": 55.28, "word": " من", "probability": 0.90625}, {"start": 55.28, "end": 55.96, "word": " خلال", "probability": 0.99365234375}, {"start": 55.96, "end": 56.36, "word": " ..", "probability": 0.288330078125}, {"start": 56.36, "end": 56.56, "word": " في", "probability": 0.56201171875}, {"start": 56.56, "end": 57.12, "word": " البداية", "probability": 0.9874674479166666}, {"start": 57.12, "end": 57.66, "word": " هنحكي", "probability": 0.949609375}, {"start": 57.66, "end": 57.92, "word": " عن", "probability": 0.9873046875}, {"start": 57.92, "end": 58.58, "word": " اللي", "probability": 0.934326171875}, {"start": 58.58, "end": 58.92, "word": " هو", "probability": 0.98974609375}, {"start": 58.92, "end": 60.1, "word": " ال", "probability": 0.93017578125}, {"start": 60.1, "end": 60.66, "word": " exponential", "probability": 0.68798828125}, {"start": 60.66, "end": 61.62, "word": " function", "probability": 0.97119140625}, {"start": 61.62, "end": 62.4, "word": " أو", "probability": 0.50830078125}, {"start": 62.4, "end": 63.1, "word": " هنثبت", "probability": 0.97763671875}, {"start": 63.1, "end": 63.28, "word": " اللي", "probability": 0.970703125}, {"start": 63.28, "end": 63.54, "word": " هو", "probability": 0.99365234375}, {"start": 63.54, "end": 64.24, "word": " وجود", "probability": 0.988037109375}, {"start": 64.24, "end": 64.42, "word": " ال", "probability": 0.97607421875}, {"start": 64.42, "end": 64.88, "word": " exponential", "probability": 0.953125}, {"start": 64.88, "end": 65.74, "word": " function", "probability": 0.97314453125}], "temperature": 1.0}, {"id": 4, "seek": 9769, "start": 69.49, "end": 97.69, "text": "احنا استخدمناها قبل هيك مجرد أمثلة بعيدا عن اللي هو انه اللي هي مفترضنا انه معلومات موجودة مسبقا ولا تناقض اللي هو انه نثبتها اليوم لإنه اثباتها اليوم لا يعتمد على اللي حكيناه سابقا بما يخص بأمثلة اللي ذكرت فيها ال exponential الان ال exponential function بدنا نثبت وجودها ايش اللي بنقوله نشوف عبر ال theorem 8 3 1 theorem", "tokens": [995, 5016, 8315, 44713, 9778, 40448, 8315, 11296, 12174, 36150, 39896, 4117, 3714, 7435, 2288, 3215, 5551, 2304, 12984, 37977, 45030, 25708, 995, 18871, 13672, 1829, 31439, 16472, 3224, 13672, 1829, 39896, 3714, 5172, 2655, 43042, 8315, 16472, 3224, 20449, 1211, 20498, 9307, 3714, 29245, 23328, 3660, 3714, 35457, 4587, 995, 49429, 6055, 8315, 4587, 11242, 13672, 1829, 31439, 16472, 3224, 8717, 12984, 3555, 2655, 11296, 45595, 20498, 5296, 28814, 1863, 3224, 1975, 12984, 3555, 9307, 11296, 45595, 20498, 20193, 7251, 34268, 2304, 3215, 15844, 13672, 1829, 11331, 4117, 1829, 8315, 3224, 8608, 16758, 4587, 995, 4724, 15042, 7251, 9778, 9381, 4724, 10721, 2304, 12984, 37977, 13672, 1829, 29910, 37983, 2655, 8978, 11296, 2423, 21510, 2423, 7649, 2423, 21510, 2445, 47525, 8315, 8717, 12984, 3555, 2655, 49610, 23328, 11296, 1975, 1829, 8592, 13672, 1829, 44945, 39648, 3224, 8717, 8592, 38688, 6225, 26890, 2423, 20904, 1649, 805, 502, 20904], "avg_logprob": -0.16369547259887593, "compression_ratio": 1.92831541218638, "no_speech_prob": 1.0728836059570312e-06, "words": [{"start": 69.49, "end": 69.91, "word": "احنا", "probability": 0.56201171875}, {"start": 69.91, "end": 70.65, "word": " استخدمناها", "probability": 0.943359375}, {"start": 70.65, "end": 70.85, "word": " قبل", "probability": 0.685302734375}, {"start": 70.85, "end": 71.09, "word": " هيك", "probability": 0.728515625}, {"start": 71.09, "end": 71.57, "word": " مجرد", "probability": 0.9805908203125}, {"start": 71.57, "end": 72.11, "word": " أمثلة", "probability": 0.91259765625}, {"start": 72.11, "end": 73.07, "word": " بعيدا", "probability": 0.8048502604166666}, {"start": 73.07, "end": 73.37, "word": " عن", "probability": 0.8017578125}, {"start": 73.37, "end": 73.63, "word": " اللي", "probability": 0.740966796875}, {"start": 73.63, "end": 73.91, "word": " هو", "probability": 0.68798828125}, {"start": 73.91, "end": 74.71, "word": " انه", "probability": 0.6148681640625}, {"start": 74.71, "end": 75.61, "word": " اللي", "probability": 0.7330322265625}, {"start": 75.61, "end": 75.81, "word": " هي", "probability": 0.923828125}, {"start": 75.81, "end": 76.51, "word": " مفترضنا", "probability": 0.8728515625}, {"start": 76.51, "end": 76.97, "word": " انه", "probability": 0.8017578125}, {"start": 76.97, "end": 77.55, "word": " معلومات", "probability": 0.9786376953125}, {"start": 77.55, "end": 78.15, "word": " موجودة", "probability": 0.976318359375}, {"start": 78.15, "end": 78.73, "word": " مسبقا", "probability": 0.92041015625}, {"start": 78.73, "end": 79.41, "word": " ولا", "probability": 0.6875}, {"start": 79.41, "end": 80.05, "word": " تناقض", "probability": 0.950927734375}, {"start": 80.05, "end": 80.29, "word": " اللي", "probability": 0.975830078125}, {"start": 80.29, "end": 80.45, "word": " هو", "probability": 0.96484375}, {"start": 80.45, "end": 80.69, "word": " انه", "probability": 0.620849609375}, {"start": 80.69, "end": 81.09, "word": " نثبتها", "probability": 0.9615234375}, {"start": 81.09, "end": 81.41, "word": " اليوم", "probability": 0.963623046875}, {"start": 81.41, "end": 81.81, "word": " لإنه", "probability": 0.799560546875}, {"start": 81.81, "end": 82.17, "word": " اثباتها", "probability": 0.8490234375}, {"start": 82.17, "end": 82.39, "word": " اليوم", "probability": 0.9794921875}, {"start": 82.39, "end": 82.53, "word": " لا", "probability": 0.89208984375}, {"start": 82.53, "end": 83.01, "word": " يعتمد", "probability": 0.85552978515625}, {"start": 83.01, "end": 83.19, "word": " على", "probability": 0.69873046875}, {"start": 83.19, "end": 83.35, "word": " اللي", "probability": 0.9794921875}, {"start": 83.35, "end": 84.17, "word": " حكيناه", "probability": 0.90712890625}, {"start": 84.17, "end": 84.77, "word": " سابقا", "probability": 0.9915771484375}, {"start": 84.77, "end": 85.07, "word": " بما", "probability": 0.963134765625}, {"start": 85.07, "end": 85.41, "word": " يخص", "probability": 0.9890950520833334}, {"start": 85.41, "end": 86.03, "word": " بأمثلة", "probability": 0.9357421875}, {"start": 86.03, "end": 86.27, "word": " اللي", "probability": 0.978271484375}, {"start": 86.27, "end": 86.71, "word": " ذكرت", "probability": 0.9295247395833334}, {"start": 86.71, "end": 87.07, "word": " فيها", "probability": 0.9912109375}, {"start": 87.07, "end": 87.33, "word": " ال", "probability": 0.96142578125}, {"start": 87.33, "end": 87.75, "word": " exponential", "probability": 0.36181640625}, {"start": 87.75, "end": 89.05, "word": " الان", "probability": 0.738525390625}, {"start": 89.05, "end": 89.35, "word": " ال", "probability": 0.98779296875}, {"start": 89.35, "end": 90.03, "word": " exponential", "probability": 0.93310546875}, {"start": 90.03, "end": 91.45, "word": " function", "probability": 0.958984375}, {"start": 91.45, "end": 92.43, "word": " بدنا", "probability": 0.88720703125}, {"start": 92.43, "end": 92.97, "word": " نثبت", "probability": 0.9976806640625}, {"start": 92.97, "end": 93.67, "word": " وجودها", "probability": 0.9938151041666666}, {"start": 93.67, "end": 94.19, "word": " ايش", "probability": 0.7550455729166666}, {"start": 94.19, "end": 94.31, "word": " اللي", "probability": 0.9892578125}, {"start": 94.31, "end": 94.75, "word": " بنقوله", "probability": 0.9656575520833334}, {"start": 94.75, "end": 95.03, "word": " نشوف", "probability": 0.8805338541666666}, {"start": 95.03, "end": 95.31, "word": " عبر", "probability": 0.952880859375}, {"start": 95.31, "end": 95.43, "word": " ال", "probability": 0.65673828125}, {"start": 95.43, "end": 96.07, "word": " theorem", "probability": 0.9296875}, {"start": 96.07, "end": 96.41, "word": " 8", "probability": 0.205078125}, {"start": 96.41, "end": 96.81, "word": " 3", "probability": 0.5517578125}, {"start": 96.81, "end": 97.25, "word": " 1", "probability": 0.9638671875}, {"start": 97.25, "end": 97.69, "word": " theorem", "probability": 0.63818359375}], "temperature": 1.0}, {"id": 5, "seek": 11326, "start": 98.28, "end": 113.26, "text": "بقول there exists a function U دلّة E من R ل R إذا في عندنا دلّة اسمها E من R ل R such that الـ E prime of X لها بساول EX لكل X element in R", "tokens": [3555, 39648, 456, 8198, 257, 2445, 624, 11778, 1211, 11703, 3660, 462, 9154, 497, 5296, 497, 11933, 15730, 8978, 43242, 8315, 11778, 1211, 11703, 3660, 24525, 2304, 11296, 462, 9154, 497, 5296, 497, 1270, 300, 2423, 39184, 462, 5835, 295, 1783, 5296, 11296, 4724, 3794, 995, 12610, 16385, 5296, 28820, 1783, 4478, 294, 497], "avg_logprob": -0.38238636797124687, "compression_ratio": 1.2466666666666666, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 98.28, "end": 98.64, "word": "بقول", "probability": 0.71044921875}, {"start": 98.64, "end": 98.82, "word": " there", "probability": 0.1474609375}, {"start": 98.82, "end": 99.5, "word": " exists", "probability": 0.7509765625}, {"start": 99.5, "end": 99.68, "word": " a", "probability": 0.978515625}, {"start": 99.68, "end": 100.12, "word": " function", "probability": 0.96435546875}, {"start": 100.12, "end": 100.44, "word": " U", "probability": 0.414306640625}, {"start": 100.44, "end": 101.22, "word": " دلّة", "probability": 0.389434814453125}, {"start": 101.22, "end": 101.52, "word": " E", "probability": 0.73779296875}, {"start": 101.52, "end": 102.18, "word": " من", "probability": 0.9375}, {"start": 102.18, "end": 102.5, "word": " R", "probability": 0.95068359375}, {"start": 102.5, "end": 102.64, "word": " ل", "probability": 0.87646484375}, {"start": 102.64, "end": 103.0, "word": " R", "probability": 0.26904296875}, {"start": 103.0, "end": 103.3, "word": " إذا", "probability": 0.6209716796875}, {"start": 103.3, "end": 103.5, "word": " في", "probability": 0.52197265625}, {"start": 103.5, "end": 104.06, "word": " عندنا", "probability": 0.950439453125}, {"start": 104.06, "end": 104.46, "word": " دلّة", "probability": 0.885986328125}, {"start": 104.46, "end": 104.96, "word": " اسمها", "probability": 0.86181640625}, {"start": 104.96, "end": 105.22, "word": " E", "probability": 0.9248046875}, {"start": 105.22, "end": 105.58, "word": " من", "probability": 0.98388671875}, {"start": 105.58, "end": 105.96, "word": " R", "probability": 0.98486328125}, {"start": 105.96, "end": 106.08, "word": " ل", "probability": 0.978515625}, {"start": 106.08, "end": 106.28, "word": " R", "probability": 0.91943359375}, {"start": 106.28, "end": 106.58, "word": " such", "probability": 0.57861328125}, {"start": 106.58, "end": 106.96, "word": " that", "probability": 0.9296875}, {"start": 106.96, "end": 108.0, "word": " الـ", "probability": 0.3525390625}, {"start": 108.0, "end": 108.8, "word": " E", "probability": 0.84716796875}, {"start": 108.8, "end": 109.2, "word": " prime", "probability": 0.449951171875}, {"start": 109.2, "end": 109.4, "word": " of", "probability": 0.93359375}, {"start": 109.4, "end": 109.68, "word": " X", "probability": 0.923828125}, {"start": 109.68, "end": 110.12, "word": " لها", "probability": 0.725341796875}, {"start": 110.12, "end": 110.74, "word": " بساول", "probability": 0.6851806640625}, {"start": 110.74, "end": 111.46, "word": " EX", "probability": 0.54541015625}, {"start": 111.46, "end": 112.08, "word": " لكل", "probability": 0.937255859375}, {"start": 112.08, "end": 112.48, "word": " X", "probability": 0.97021484375}, {"start": 112.48, "end": 112.8, "word": " element", "probability": 0.6630859375}, {"start": 112.8, "end": 113.02, "word": " in", "probability": 0.469970703125}, {"start": 113.02, "end": 113.26, "word": " R", "probability": 0.99853515625}], "temperature": 1.0}, {"id": 6, "seek": 13352, "start": 113.9, "end": 133.52, "text": "إتنين E of Zero بساوي إيش واحد يعني الآن النظرية دي بتقولي إنه يوجد عندنا دالة domainها كل ال R و rangeها بروح بصوب في ال R هذه الدالة تحقق شرطين اللي هي E prime of X بساوي E of X و E of Zero بساوي إيش واحد", "tokens": [28814, 2655, 1863, 9957, 462, 295, 17182, 4724, 3794, 995, 45865, 11933, 1829, 8592, 36764, 24401, 37495, 22653, 6024, 48506, 28239, 19913, 2288, 10632, 11778, 1829, 39894, 39648, 1829, 36145, 3224, 7251, 29245, 3215, 43242, 8315, 11778, 6027, 3660, 9274, 11296, 28242, 2423, 497, 4032, 3613, 11296, 4724, 32887, 5016, 4724, 9381, 37746, 8978, 2423, 497, 29538, 32748, 6027, 3660, 6055, 5016, 4587, 4587, 13412, 2288, 9566, 9957, 13672, 1829, 39896, 462, 5835, 295, 1783, 4724, 3794, 995, 45865, 462, 295, 1783, 4032, 462, 295, 17182, 4724, 3794, 995, 45865, 11933, 1829, 8592, 36764, 24401], "avg_logprob": -0.24527995303894082, "compression_ratio": 1.6331658291457287, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 113.9, "end": 114.5, "word": "إتنين", "probability": 0.593170166015625}, {"start": 114.5, "end": 114.74, "word": " E", "probability": 0.5458984375}, {"start": 114.74, "end": 114.94, "word": " of", "probability": 0.6689453125}, {"start": 114.94, "end": 115.28, "word": " Zero", "probability": 0.425048828125}, {"start": 115.28, "end": 115.78, "word": " بساوي", "probability": 0.57415771484375}, {"start": 115.78, "end": 116.12, "word": " إيش", "probability": 0.7010091145833334}, {"start": 116.12, "end": 116.48, "word": " واحد", "probability": 0.898193359375}, {"start": 116.48, "end": 116.76, "word": " يعني", "probability": 0.7822265625}, {"start": 116.76, "end": 117.06, "word": " الآن", "probability": 0.6942138671875}, {"start": 117.06, "end": 117.42, "word": " النظرية", "probability": 0.8682861328125}, {"start": 117.42, "end": 117.6, "word": " دي", "probability": 0.627197265625}, {"start": 117.6, "end": 118.2, "word": " بتقولي", "probability": 0.7933756510416666}, {"start": 118.2, "end": 118.82, "word": " إنه", "probability": 0.65625}, {"start": 118.82, "end": 119.3, "word": " يوجد", "probability": 0.9537760416666666}, {"start": 119.3, "end": 119.72, "word": " عندنا", "probability": 0.905029296875}, {"start": 119.72, "end": 120.24, "word": " دالة", "probability": 0.98681640625}, {"start": 120.24, "end": 120.96, "word": " domainها", "probability": 0.5577392578125}, {"start": 120.96, "end": 121.28, "word": " كل", "probability": 0.98486328125}, {"start": 121.28, "end": 121.48, "word": " ال", "probability": 0.94580078125}, {"start": 121.48, "end": 121.76, "word": " R", "probability": 0.72119140625}, {"start": 121.76, "end": 121.96, "word": " و", "probability": 0.90673828125}, {"start": 121.96, "end": 122.52, "word": " rangeها", "probability": 0.787109375}, {"start": 122.52, "end": 122.92, "word": " بروح", "probability": 0.94921875}, {"start": 122.92, "end": 123.36, "word": " بصوب", "probability": 0.7373860677083334}, {"start": 123.36, "end": 123.48, "word": " في", "probability": 0.91845703125}, {"start": 123.48, "end": 123.62, "word": " ال", "probability": 0.9716796875}, {"start": 123.62, "end": 123.92, "word": " R", "probability": 0.93798828125}, {"start": 123.92, "end": 124.7, "word": " هذه", "probability": 0.34130859375}, {"start": 124.7, "end": 126.14, "word": " الدالة", "probability": 0.9814453125}, {"start": 126.14, "end": 128.7, "word": " تحقق", "probability": 0.89794921875}, {"start": 128.7, "end": 129.38, "word": " شرطين", "probability": 0.9434814453125}, {"start": 129.38, "end": 129.56, "word": " اللي", "probability": 0.7213134765625}, {"start": 129.56, "end": 129.72, "word": " هي", "probability": 0.74462890625}, {"start": 129.72, "end": 129.96, "word": " E", "probability": 0.59423828125}, {"start": 129.96, "end": 130.22, "word": " prime", "probability": 0.5693359375}, {"start": 130.22, "end": 130.36, "word": " of", "probability": 0.9443359375}, {"start": 130.36, "end": 130.56, "word": " X", "probability": 0.96337890625}, {"start": 130.56, "end": 130.84, "word": " بساوي", "probability": 0.938232421875}, {"start": 130.84, "end": 131.02, "word": " E", "probability": 0.986328125}, {"start": 131.02, "end": 131.14, "word": " of", "probability": 0.95849609375}, {"start": 131.14, "end": 131.36, "word": " X", "probability": 0.994140625}, {"start": 131.36, "end": 131.48, "word": " و", "probability": 0.80517578125}, {"start": 131.48, "end": 131.58, "word": " E", "probability": 0.6328125}, {"start": 131.58, "end": 131.7, "word": " of", "probability": 0.91650390625}, {"start": 131.7, "end": 131.92, "word": " Zero", "probability": 0.86181640625}, {"start": 131.92, "end": 132.34, "word": " بساوي", "probability": 0.963134765625}, {"start": 132.34, "end": 132.76, "word": " إيش", "probability": 0.95654296875}, {"start": 132.76, "end": 133.52, "word": " واحد", "probability": 0.959228515625}], "temperature": 1.0}, {"id": 7, "seek": 16202, "start": 133.88, "end": 162.02, "text": "الان نجي اللي هو بدنا نثبت وجود هذه الدالة ايه التي تحقق اللي هو الخواص اللي عندنا المذكورة فيه اللي هي نظريا الان خلينا عشان نروح باتجاه اثبات وجود هذه الدالة خلينا ناخد we inductively define a sequence of continuous functions as follows بدي الآن اعرف اللي هو sequence of functions", "tokens": [6027, 7649, 8717, 7435, 1829, 13672, 1829, 31439, 47525, 8315, 8717, 12984, 3555, 2655, 49610, 23328, 29538, 32748, 6027, 3660, 1975, 1829, 3224, 38392, 6055, 5016, 4587, 4587, 13672, 1829, 31439, 33962, 2407, 33546, 13672, 1829, 43242, 8315, 9673, 8848, 4117, 13063, 3660, 8978, 3224, 13672, 1829, 39896, 8717, 19913, 16572, 995, 2423, 7649, 16490, 1211, 9957, 995, 6225, 8592, 7649, 8717, 32887, 5016, 4724, 9307, 7435, 40294, 1975, 12984, 3555, 9307, 49610, 23328, 29538, 32748, 6027, 3660, 16490, 1211, 9957, 995, 8717, 47283, 3215, 321, 31612, 3413, 6964, 257, 8310, 295, 10957, 6828, 382, 10002, 47525, 1829, 6024, 48506, 1975, 3615, 28480, 13672, 1829, 31439, 8310, 295, 6828], "avg_logprob": -0.19133523363958704, "compression_ratio": 1.8675213675213675, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 133.88, "end": 134.5, "word": "الان", "probability": 0.6571044921875}, {"start": 134.5, "end": 135.5, "word": " نجي", "probability": 0.60968017578125}, {"start": 135.5, "end": 135.86, "word": " اللي", "probability": 0.59423828125}, {"start": 135.86, "end": 136.2, "word": " هو", "probability": 0.9775390625}, {"start": 136.2, "end": 136.86, "word": " بدنا", "probability": 0.83837890625}, {"start": 136.86, "end": 137.42, "word": " نثبت", "probability": 0.9951171875}, {"start": 137.42, "end": 137.94, "word": " وجود", "probability": 0.981689453125}, {"start": 137.94, "end": 138.26, "word": " هذه", "probability": 0.626953125}, {"start": 138.26, "end": 138.78, "word": " الدالة", "probability": 0.96484375}, {"start": 138.78, "end": 139.24, "word": " ايه", "probability": 0.782470703125}, {"start": 139.24, "end": 139.92, "word": " التي", "probability": 0.890625}, {"start": 139.92, "end": 141.1, "word": " تحقق", "probability": 0.9810791015625}, {"start": 141.1, "end": 141.72, "word": " اللي", "probability": 0.864990234375}, {"start": 141.72, "end": 142.04, "word": " هو", "probability": 0.90283203125}, {"start": 142.04, "end": 142.96, "word": " الخواص", "probability": 0.8317057291666666}, {"start": 142.96, "end": 143.26, "word": " اللي", "probability": 0.97216796875}, {"start": 143.26, "end": 143.62, "word": " عندنا", "probability": 0.930908203125}, {"start": 143.62, "end": 144.6, "word": " المذكورة", "probability": 0.91572265625}, {"start": 144.6, "end": 145.3, "word": " فيه", "probability": 0.564697265625}, {"start": 145.3, "end": 145.38, "word": " اللي", "probability": 0.78271484375}, {"start": 145.38, "end": 145.68, "word": " هي", "probability": 0.93896484375}, {"start": 145.68, "end": 146.36, "word": " نظريا", "probability": 0.8831787109375}, {"start": 146.36, "end": 147.3, "word": " الان", "probability": 0.666015625}, {"start": 147.3, "end": 147.88, "word": " خلينا", "probability": 0.74993896484375}, {"start": 147.88, "end": 148.2, "word": " عشان", "probability": 0.9453125}, {"start": 148.2, "end": 148.64, "word": " نروح", "probability": 0.9895833333333334}, {"start": 148.64, "end": 149.2, "word": " باتجاه", "probability": 0.989990234375}, {"start": 149.2, "end": 149.64, "word": " اثبات", "probability": 0.8839111328125}, {"start": 149.64, "end": 149.96, "word": " وجود", "probability": 0.982421875}, {"start": 149.96, "end": 150.14, "word": " هذه", "probability": 0.8193359375}, {"start": 150.14, "end": 150.58, "word": " الدالة", "probability": 0.9920247395833334}, {"start": 150.58, "end": 151.1, "word": " خلينا", "probability": 0.917236328125}, {"start": 151.1, "end": 151.58, "word": " ناخد", "probability": 0.9899088541666666}, {"start": 151.58, "end": 151.98, "word": " we", "probability": 0.2138671875}, {"start": 151.98, "end": 153.38, "word": " inductively", "probability": 0.88134765625}, {"start": 153.38, "end": 153.86, "word": " define", "probability": 0.9794921875}, {"start": 153.86, "end": 154.08, "word": " a", "probability": 0.96337890625}, {"start": 154.08, "end": 154.56, "word": " sequence", "probability": 0.97509765625}, {"start": 154.56, "end": 155.28, "word": " of", "probability": 0.71728515625}, {"start": 155.28, "end": 155.84, "word": " continuous", "probability": 0.81787109375}, {"start": 155.84, "end": 156.38, "word": " functions", "probability": 0.82470703125}, {"start": 156.38, "end": 156.66, "word": " as", "probability": 0.9208984375}, {"start": 156.66, "end": 157.02, "word": " follows", "probability": 0.81982421875}, {"start": 157.02, "end": 157.9, "word": " بدي", "probability": 0.38671875}, {"start": 157.9, "end": 158.28, "word": " الآن", "probability": 0.734375}, {"start": 158.28, "end": 159.66, "word": " اعرف", "probability": 0.8196614583333334}, {"start": 159.66, "end": 160.02, "word": " اللي", "probability": 0.967529296875}, {"start": 160.02, "end": 160.44, "word": " هو", "probability": 0.98095703125}, {"start": 160.44, "end": 161.28, "word": " sequence", "probability": 0.9404296875}, {"start": 161.28, "end": 161.48, "word": " of", "probability": 0.98193359375}, {"start": 161.48, "end": 162.02, "word": " functions", "probability": 0.88037109375}], "temperature": 1.0}, {"id": 8, "seek": 19115, "start": 162.55, "end": 191.15, "text": "الأولى اسمها E1 of X بتساوي واحد زائد X طبعا هذه الدالة موجودة E1 of X بتساوي واحد زائد X هي دالة خطية الآن بدي أعرف ال E2 ال E2 of X بساوي ال integration واحد زائد ال integration من سفر لعند X اللي هو E1 of X D أو E1 of T DT", "tokens": [6027, 10721, 12610, 7578, 24525, 2304, 11296, 462, 16, 295, 1783, 4724, 2655, 3794, 995, 45865, 36764, 24401, 30767, 16373, 3215, 1783, 23032, 3555, 3615, 995, 29538, 32748, 6027, 3660, 3714, 29245, 23328, 3660, 462, 16, 295, 1783, 4724, 2655, 3794, 995, 45865, 36764, 24401, 30767, 16373, 3215, 1783, 39896, 11778, 6027, 3660, 16490, 9566, 10632, 6024, 48506, 4724, 16254, 5551, 3615, 28480, 2423, 462, 17, 2423, 462, 17, 295, 1783, 4724, 3794, 995, 45865, 2423, 10980, 36764, 24401, 30767, 16373, 3215, 2423, 10980, 9154, 8608, 5172, 2288, 5296, 3615, 41260, 1783, 13672, 1829, 31439, 462, 16, 295, 1783, 413, 34051, 462, 16, 295, 314, 413, 51], "avg_logprob": -0.16145833802443962, "compression_ratio": 1.8095238095238095, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 162.55, "end": 163.59, "word": "الأولى", "probability": 0.928955078125}, {"start": 163.59, "end": 164.03, "word": " اسمها", "probability": 0.9427083333333334}, {"start": 164.03, "end": 164.59, "word": " E1", "probability": 0.77099609375}, {"start": 164.59, "end": 165.65, "word": " of", "probability": 0.60888671875}, {"start": 165.65, "end": 166.07, "word": " X", "probability": 0.916015625}, {"start": 166.07, "end": 166.75, "word": " بتساوي", "probability": 0.6836181640625}, {"start": 166.75, "end": 167.25, "word": " واحد", "probability": 0.780517578125}, {"start": 167.25, "end": 167.63, "word": " زائد", "probability": 0.86181640625}, {"start": 167.63, "end": 167.81, "word": " X", "probability": 0.9775390625}, {"start": 167.81, "end": 168.17, "word": " طبعا", "probability": 0.9169921875}, {"start": 168.17, "end": 168.41, "word": " هذه", "probability": 0.69677734375}, {"start": 168.41, "end": 168.79, "word": " الدالة", "probability": 0.92041015625}, {"start": 168.79, "end": 169.43, "word": " موجودة", "probability": 0.76611328125}, {"start": 169.43, "end": 169.77, "word": " E1", "probability": 0.776611328125}, {"start": 169.77, "end": 169.95, "word": " of", "probability": 0.90771484375}, {"start": 169.95, "end": 170.09, "word": " X", "probability": 0.9912109375}, {"start": 170.09, "end": 170.33, "word": " بتساوي", "probability": 0.82548828125}, {"start": 170.33, "end": 170.49, "word": " واحد", "probability": 0.98486328125}, {"start": 170.49, "end": 170.79, "word": " زائد", "probability": 0.95849609375}, {"start": 170.79, "end": 170.97, "word": " X", "probability": 0.9912109375}, {"start": 170.97, "end": 171.47, "word": " هي", "probability": 0.7578125}, {"start": 171.47, "end": 172.05, "word": " دالة", "probability": 0.9886067708333334}, {"start": 172.05, "end": 172.79, "word": " خطية", "probability": 0.91259765625}, {"start": 172.79, "end": 173.71, "word": " الآن", "probability": 0.6343994140625}, {"start": 173.71, "end": 174.07, "word": " بدي", "probability": 0.69677734375}, {"start": 174.07, "end": 174.63, "word": " أعرف", "probability": 0.8115234375}, {"start": 174.63, "end": 174.85, "word": " ال", "probability": 0.83203125}, {"start": 174.85, "end": 175.65, "word": " E2", "probability": 0.866455078125}, {"start": 175.65, "end": 176.47, "word": " ال", "probability": 0.52734375}, {"start": 176.47, "end": 177.03, "word": " E2", "probability": 0.91748046875}, {"start": 177.03, "end": 177.31, "word": " of", "probability": 0.98095703125}, {"start": 177.31, "end": 177.73, "word": " X", "probability": 0.9970703125}, {"start": 177.73, "end": 178.45, "word": " بساوي", "probability": 0.943115234375}, {"start": 178.45, "end": 178.59, "word": " ال", "probability": 0.96142578125}, {"start": 178.59, "end": 179.29, "word": " integration", "probability": 0.9384765625}, {"start": 179.29, "end": 179.97, "word": " واحد", "probability": 0.969970703125}, {"start": 179.97, "end": 180.27, "word": " زائد", "probability": 0.96728515625}, {"start": 180.27, "end": 180.43, "word": " ال", "probability": 0.9755859375}, {"start": 180.43, "end": 181.03, "word": " integration", "probability": 0.97998046875}, {"start": 181.03, "end": 182.03, "word": " من", "probability": 0.9892578125}, {"start": 182.03, "end": 183.17, "word": " سفر", "probability": 0.7858072916666666}, {"start": 183.17, "end": 183.73, "word": " لعند", "probability": 0.93017578125}, {"start": 183.73, "end": 184.17, "word": " X", "probability": 0.98046875}, {"start": 184.17, "end": 184.97, "word": " اللي", "probability": 0.869384765625}, {"start": 184.97, "end": 185.23, "word": " هو", "probability": 0.9814453125}, {"start": 185.23, "end": 186.75, "word": " E1", "probability": 0.90576171875}, {"start": 186.75, "end": 187.11, "word": " of", "probability": 0.96875}, {"start": 187.11, "end": 187.63, "word": " X", "probability": 0.990234375}, {"start": 187.63, "end": 188.23, "word": " D", "probability": 0.298828125}, {"start": 188.23, "end": 189.09, "word": " أو", "probability": 0.75048828125}, {"start": 189.09, "end": 189.57, "word": " E1", "probability": 0.931640625}, {"start": 189.57, "end": 189.79, "word": " of", "probability": 0.97021484375}, {"start": 189.79, "end": 190.17, "word": " T", "probability": 0.9150390625}, {"start": 190.17, "end": 191.15, "word": " DT", "probability": 0.826416015625}], "temperature": 1.0}, {"id": 9, "seek": 20628, "start": 191.6, "end": 206.28, "text": "إذاً الـ E2 بدي أجيبها من مين؟ من الـ E1 طبعاً بتيجي الـ E والـ E2 اللي هي عبارة عن واحد زائد هذه واحد زائد T اللي هو تفاضلها زي ما انتوا عارفين تكملها اللي هي T", "tokens": [28814, 15730, 14111, 2423, 39184, 462, 17, 4724, 16254, 5551, 7435, 1829, 3555, 11296, 9154, 3714, 9957, 22807, 9154, 2423, 39184, 462, 16, 23032, 3555, 3615, 995, 14111, 4724, 31371, 7435, 1829, 2423, 39184, 462, 16070, 39184, 462, 17, 13672, 1829, 39896, 6225, 3555, 9640, 3660, 18871, 36764, 24401, 30767, 16373, 3215, 29538, 36764, 24401, 30767, 16373, 3215, 314, 13672, 1829, 31439, 6055, 5172, 46958, 1211, 11296, 30767, 1829, 19446, 16472, 2655, 14407, 6225, 9640, 5172, 9957, 6055, 24793, 1211, 11296, 13672, 1829, 39896, 314], "avg_logprob": -0.1836845885182536, "compression_ratio": 1.7643312101910829, "no_speech_prob": 2.86102294921875e-06, "words": [{"start": 191.6, "end": 192.08, "word": "إذاً", "probability": 0.534423828125}, {"start": 192.08, "end": 192.34, "word": " الـ", "probability": 0.7509765625}, {"start": 192.34, "end": 192.88, "word": " E2", "probability": 0.86279296875}, {"start": 192.88, "end": 193.14, "word": " بدي", "probability": 0.447998046875}, {"start": 193.14, "end": 193.48, "word": " أجيبها", "probability": 0.8861328125}, {"start": 193.48, "end": 193.66, "word": " من", "probability": 0.986328125}, {"start": 193.66, "end": 194.12, "word": " مين؟", "probability": 0.6725667317708334}, {"start": 194.12, "end": 194.32, "word": " من", "probability": 0.953125}, {"start": 194.32, "end": 194.7, "word": " الـ", "probability": 0.955810546875}, {"start": 194.7, "end": 195.34, "word": " E1", "probability": 0.94189453125}, {"start": 195.34, "end": 196.22, "word": " طبعاً", "probability": 0.8638671875}, {"start": 196.22, "end": 196.74, "word": " بتيجي", "probability": 0.83673095703125}, {"start": 196.74, "end": 197.02, "word": " الـ", "probability": 0.738525390625}, {"start": 197.02, "end": 197.12, "word": " E", "probability": 0.9130859375}, {"start": 197.12, "end": 197.48, "word": " والـ", "probability": 0.6986083984375}, {"start": 197.48, "end": 197.96, "word": " E2", "probability": 0.959716796875}, {"start": 197.96, "end": 198.24, "word": " اللي", "probability": 0.83203125}, {"start": 198.24, "end": 198.44, "word": " هي", "probability": 0.8828125}, {"start": 198.44, "end": 198.86, "word": " عبارة", "probability": 0.9957275390625}, {"start": 198.86, "end": 199.14, "word": " عن", "probability": 0.99462890625}, {"start": 199.14, "end": 200.12, "word": " واحد", "probability": 0.7193603515625}, {"start": 200.12, "end": 200.9, "word": " زائد", "probability": 0.9132486979166666}, {"start": 200.9, "end": 201.36, "word": " هذه", "probability": 0.5078125}, {"start": 201.36, "end": 201.78, "word": " واحد", "probability": 0.965087890625}, {"start": 201.78, "end": 202.3, "word": " زائد", "probability": 0.9827473958333334}, {"start": 202.3, "end": 202.66, "word": " T", "probability": 0.82421875}, {"start": 202.66, "end": 203.38, "word": " اللي", "probability": 0.943359375}, {"start": 203.38, "end": 203.5, "word": " هو", "probability": 0.94384765625}, {"start": 203.5, "end": 204.06, "word": " تفاضلها", "probability": 0.86748046875}, {"start": 204.06, "end": 204.26, "word": " زي", "probability": 0.895263671875}, {"start": 204.26, "end": 204.32, "word": " ما", "probability": 0.9619140625}, {"start": 204.32, "end": 204.52, "word": " انتوا", "probability": 0.7285970052083334}, {"start": 204.52, "end": 204.96, "word": " عارفين", "probability": 0.9857177734375}, {"start": 204.96, "end": 205.54, "word": " تكملها", "probability": 0.956787109375}, {"start": 205.54, "end": 205.68, "word": " اللي", "probability": 0.970458984375}, {"start": 205.68, "end": 205.88, "word": " هي", "probability": 0.89208984375}, {"start": 205.88, "end": 206.28, "word": " T", "probability": 0.9580078125}], "temperature": 1.0}, {"id": 10, "seek": 22131, "start": 206.77, "end": 221.31, "text": "زائد اللي هي T تربيع على اتنين من صفر لعند X ويسوا واحد زائد X زائد X على X تربيع على اتنين هذه الدالة من هي E2 of X E3 of X", "tokens": [11622, 16373, 3215, 13672, 1829, 39896, 314, 6055, 2288, 21292, 3615, 15844, 1975, 2655, 1863, 9957, 9154, 20328, 5172, 2288, 5296, 3615, 41260, 1783, 4032, 1829, 3794, 14407, 36764, 24401, 30767, 16373, 3215, 1783, 30767, 16373, 3215, 1783, 15844, 1783, 6055, 2288, 21292, 3615, 15844, 1975, 2655, 1863, 9957, 29538, 32748, 6027, 3660, 9154, 39896, 462, 17, 295, 1783, 462, 18, 295, 1783], "avg_logprob": -0.29858398949727416, "compression_ratio": 1.565891472868217, "no_speech_prob": 1.5974044799804688e-05, "words": [{"start": 206.77, "end": 207.73, "word": "زائد", "probability": 0.618896484375}, {"start": 207.73, "end": 208.13, "word": " اللي", "probability": 0.48089599609375}, {"start": 208.13, "end": 208.59, "word": " هي", "probability": 0.89892578125}, {"start": 208.59, "end": 209.23, "word": " T", "probability": 0.572265625}, {"start": 209.23, "end": 209.77, "word": " تربيع", "probability": 0.72686767578125}, {"start": 209.77, "end": 209.93, "word": " على", "probability": 0.66748046875}, {"start": 209.93, "end": 210.43, "word": " اتنين", "probability": 0.78558349609375}, {"start": 210.43, "end": 210.67, "word": " من", "probability": 0.958984375}, {"start": 210.67, "end": 211.03, "word": " صفر", "probability": 0.7884928385416666}, {"start": 211.03, "end": 211.37, "word": " لعند", "probability": 0.8655598958333334}, {"start": 211.37, "end": 211.73, "word": " X", "probability": 0.86328125}, {"start": 211.73, "end": 212.55, "word": " ويسوا", "probability": 0.6121826171875}, {"start": 212.55, "end": 212.91, "word": " واحد", "probability": 0.886962890625}, {"start": 212.91, "end": 213.31, "word": " زائد", "probability": 0.94873046875}, {"start": 213.31, "end": 213.57, "word": " X", "probability": 0.96875}, {"start": 213.57, "end": 214.03, "word": " زائد", "probability": 0.8736979166666666}, {"start": 214.03, "end": 214.51, "word": " X", "probability": 0.98681640625}, {"start": 214.51, "end": 215.33, "word": " على", "probability": 0.75732421875}, {"start": 215.33, "end": 215.63, "word": " X", "probability": 0.96484375}, {"start": 215.63, "end": 216.31, "word": " تربيع", "probability": 0.9017333984375}, {"start": 216.31, "end": 216.67, "word": " على", "probability": 0.85693359375}, {"start": 216.67, "end": 217.41, "word": " اتنين", "probability": 0.97607421875}, {"start": 217.41, "end": 217.93, "word": " هذه", "probability": 0.300537109375}, {"start": 217.93, "end": 218.39, "word": " الدالة", "probability": 0.93310546875}, {"start": 218.39, "end": 218.49, "word": " من", "probability": 0.377685546875}, {"start": 218.49, "end": 218.85, "word": " هي", "probability": 0.351318359375}, {"start": 218.85, "end": 219.49, "word": " E2", "probability": 0.77294921875}, {"start": 219.49, "end": 219.71, "word": " of", "probability": 0.7177734375}, {"start": 219.71, "end": 219.99, "word": " X", "probability": 0.98486328125}, {"start": 219.99, "end": 220.61, "word": " E3", "probability": 0.6376953125}, {"start": 220.61, "end": 220.91, "word": " of", "probability": 0.96875}, {"start": 220.91, "end": 221.31, "word": " X", "probability": 0.9951171875}], "temperature": 1.0}, {"id": 11, "seek": 24268, "start": 221.82, "end": 242.68, "text": "بتعرفها بنفس الأسلوب بالساوي 1 زائد الـ integration من 0 ل X لدالة اللي وجدتها قبلها اللي هي E2 of T DT بضل أسائي ساير في التعريف بقول in general بتعرف ال E N زائد 1 of X", "tokens": [3555, 2655, 3615, 28480, 11296, 44945, 36178, 16247, 3794, 1211, 37746, 20666, 3794, 995, 45865, 502, 30767, 16373, 3215, 2423, 39184, 10980, 9154, 1958, 5296, 1783, 5296, 3215, 6027, 3660, 13672, 1829, 49610, 3215, 2655, 11296, 12174, 36150, 11296, 13672, 1829, 39896, 462, 17, 295, 314, 413, 51, 4724, 11242, 1211, 5551, 3794, 16373, 1829, 8608, 995, 13546, 8978, 16712, 3615, 16572, 5172, 4724, 39648, 294, 2674, 39894, 3615, 28480, 2423, 462, 426, 30767, 16373, 3215, 502, 295, 1783], "avg_logprob": -0.25781249441206455, "compression_ratio": 1.451086956521739, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 221.82, "end": 222.72, "word": "بتعرفها", "probability": 0.6962890625}, {"start": 222.72, "end": 223.14, "word": " بنفس", "probability": 0.97900390625}, {"start": 223.14, "end": 223.98, "word": " الأسلوب", "probability": 0.916259765625}, {"start": 223.98, "end": 224.6, "word": " بالساوي", "probability": 0.62774658203125}, {"start": 224.6, "end": 225.02, "word": " 1", "probability": 0.50341796875}, {"start": 225.02, "end": 225.42, "word": " زائد", "probability": 0.6627604166666666}, {"start": 225.42, "end": 225.6, "word": " الـ", "probability": 0.7890625}, {"start": 225.6, "end": 226.24, "word": " integration", "probability": 0.625}, {"start": 226.24, "end": 226.96, "word": " من", "probability": 0.94580078125}, {"start": 226.96, "end": 227.32, "word": " 0", "probability": 0.67529296875}, {"start": 227.32, "end": 227.52, "word": " ل", "probability": 0.73388671875}, {"start": 227.52, "end": 227.84, "word": " X", "probability": 0.423095703125}, {"start": 227.84, "end": 228.84, "word": " لدالة", "probability": 0.69366455078125}, {"start": 228.84, "end": 229.16, "word": " اللي", "probability": 0.891845703125}, {"start": 229.16, "end": 229.84, "word": " وجدتها", "probability": 0.9698486328125}, {"start": 229.84, "end": 230.44, "word": " قبلها", "probability": 0.95068359375}, {"start": 230.44, "end": 230.9, "word": " اللي", "probability": 0.6849365234375}, {"start": 230.9, "end": 231.14, "word": " هي", "probability": 0.8291015625}, {"start": 231.14, "end": 231.94, "word": " E2", "probability": 0.839599609375}, {"start": 231.94, "end": 232.2, "word": " of", "probability": 0.7353515625}, {"start": 232.2, "end": 232.7, "word": " T", "probability": 0.7451171875}, {"start": 232.7, "end": 233.58, "word": " DT", "probability": 0.6370849609375}, {"start": 233.58, "end": 234.42, "word": " بضل", "probability": 0.7566731770833334}, {"start": 234.42, "end": 235.06, "word": " أسائي", "probability": 0.7598876953125}, {"start": 235.06, "end": 235.44, "word": " ساير", "probability": 0.86328125}, {"start": 235.44, "end": 235.58, "word": " في", "probability": 0.93896484375}, {"start": 235.58, "end": 236.14, "word": " التعريف", "probability": 0.994873046875}, {"start": 236.14, "end": 236.58, "word": " بقول", "probability": 0.96435546875}, {"start": 236.58, "end": 236.94, "word": " in", "probability": 0.76904296875}, {"start": 236.94, "end": 237.64, "word": " general", "probability": 0.890625}, {"start": 237.64, "end": 238.88, "word": " بتعرف", "probability": 0.7418619791666666}, {"start": 238.88, "end": 239.06, "word": " ال", "probability": 0.80078125}, {"start": 239.06, "end": 239.36, "word": " E", "probability": 0.3056640625}, {"start": 239.36, "end": 239.8, "word": " N", "probability": 0.2093505859375}, {"start": 239.8, "end": 240.82, "word": " زائد", "probability": 0.8561197916666666}, {"start": 240.82, "end": 241.3, "word": " 1", "probability": 0.9560546875}, {"start": 241.3, "end": 242.0, "word": " of", "probability": 0.97265625}, {"start": 242.0, "end": 242.68, "word": " X", "probability": 0.99609375}], "temperature": 1.0}, {"id": 12, "seek": 26839, "start": 243.1, "end": 268.4, "text": "بساوة الـ 1 زي ال integration من 0 ل X EN of T DT إذن الآن عرفت اللي هي ال E1 of X بساوة 1 زي X ومنها عرفت اللي هي E2 وE2 عرفت منها E3 وE3 عرفت منها E4 وهكذا ال EN زي ال 1 of X هتساوة 1 زي ال integration من 0 ل X لل EN اللي جاب الها دي", "tokens": [3555, 3794, 995, 2407, 3660, 2423, 39184, 502, 30767, 1829, 2423, 10980, 9154, 1958, 5296, 1783, 15244, 295, 314, 413, 51, 11933, 8848, 1863, 6024, 48506, 6225, 28480, 2655, 13672, 1829, 39896, 2423, 462, 16, 295, 1783, 4724, 3794, 995, 2407, 3660, 502, 30767, 1829, 1783, 4032, 27842, 11296, 6225, 28480, 2655, 13672, 1829, 39896, 462, 17, 4032, 36, 17, 6225, 28480, 2655, 9154, 11296, 462, 18, 4032, 36, 18, 6225, 28480, 2655, 9154, 11296, 462, 19, 4032, 3224, 4117, 15730, 2423, 15244, 30767, 1829, 2423, 502, 295, 1783, 8032, 2655, 3794, 995, 2407, 3660, 502, 30767, 1829, 2423, 10980, 9154, 1958, 5296, 1783, 24976, 15244, 13672, 1829, 10874, 16758, 2423, 11296, 11778, 1829], "avg_logprob": -0.22581521272659302, "compression_ratio": 1.901639344262295, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 243.1, "end": 243.58, "word": "بساوة", "probability": 0.7712890625}, {"start": 243.58, "end": 243.76, "word": " الـ", "probability": 0.543701171875}, {"start": 243.76, "end": 244.58, "word": " 1", "probability": 0.29248046875}, {"start": 244.58, "end": 244.88, "word": " زي", "probability": 0.4912109375}, {"start": 244.88, "end": 245.02, "word": " ال", "probability": 0.96630859375}, {"start": 245.02, "end": 245.56, "word": " integration", "probability": 0.69921875}, {"start": 245.56, "end": 245.9, "word": " من", "probability": 0.96923828125}, {"start": 245.9, "end": 246.14, "word": " 0", "probability": 0.8232421875}, {"start": 246.14, "end": 246.32, "word": " ل", "probability": 0.60009765625}, {"start": 246.32, "end": 246.7, "word": " X", "probability": 0.619140625}, {"start": 246.7, "end": 247.52, "word": " EN", "probability": 0.12078857421875}, {"start": 247.52, "end": 248.36, "word": " of", "probability": 0.7646484375}, {"start": 248.36, "end": 248.92, "word": " T", "probability": 0.8056640625}, {"start": 248.92, "end": 250.3, "word": " DT", "probability": 0.6826171875}, {"start": 250.3, "end": 250.96, "word": " إذن", "probability": 0.6438802083333334}, {"start": 250.96, "end": 251.42, "word": " الآن", "probability": 0.6534423828125}, {"start": 251.42, "end": 252.16, "word": " عرفت", "probability": 0.8951822916666666}, {"start": 252.16, "end": 252.34, "word": " اللي", "probability": 0.78857421875}, {"start": 252.34, "end": 252.56, "word": " هي", "probability": 0.90625}, {"start": 252.56, "end": 252.72, "word": " ال", "probability": 0.384765625}, {"start": 252.72, "end": 253.04, "word": " E1", "probability": 0.78759765625}, {"start": 253.04, "end": 253.22, "word": " of", "probability": 0.69921875}, {"start": 253.22, "end": 253.42, "word": " X", "probability": 0.994140625}, {"start": 253.42, "end": 253.82, "word": " بساوة", "probability": 0.7857421875}, {"start": 253.82, "end": 254.0, "word": " 1", "probability": 0.91796875}, {"start": 254.0, "end": 254.24, "word": " زي", "probability": 0.9140625}, {"start": 254.24, "end": 254.68, "word": " X", "probability": 0.951171875}, {"start": 254.68, "end": 255.54, "word": " ومنها", "probability": 0.912109375}, {"start": 255.54, "end": 256.02, "word": " عرفت", "probability": 0.9484049479166666}, {"start": 256.02, "end": 256.16, "word": " اللي", "probability": 0.981201171875}, {"start": 256.16, "end": 256.32, "word": " هي", "probability": 0.919921875}, {"start": 256.32, "end": 256.9, "word": " E2", "probability": 0.985595703125}, {"start": 256.9, "end": 257.44, "word": " وE2", "probability": 0.82666015625}, {"start": 257.44, "end": 257.86, "word": " عرفت", "probability": 0.9788411458333334}, {"start": 257.86, "end": 258.04, "word": " منها", "probability": 0.985107421875}, {"start": 258.04, "end": 258.62, "word": " E3", "probability": 0.99072265625}, {"start": 258.62, "end": 259.16, "word": " وE3", "probability": 0.94921875}, {"start": 259.16, "end": 259.5, "word": " عرفت", "probability": 0.98046875}, {"start": 259.5, "end": 259.68, "word": " منها", "probability": 0.989990234375}, {"start": 259.68, "end": 260.24, "word": " E4", "probability": 0.998291015625}, {"start": 260.24, "end": 261.84, "word": " وهكذا", "probability": 0.76470947265625}, {"start": 261.84, "end": 262.36, "word": " ال", "probability": 0.63623046875}, {"start": 262.36, "end": 262.56, "word": " EN", "probability": 0.74365234375}, {"start": 262.56, "end": 262.82, "word": " زي", "probability": 0.946044921875}, {"start": 262.82, "end": 262.92, "word": " ال", "probability": 0.72705078125}, {"start": 262.92, "end": 263.08, "word": " 1", "probability": 0.8935546875}, {"start": 263.08, "end": 263.28, "word": " of", "probability": 0.802734375}, {"start": 263.28, "end": 263.46, "word": " X", "probability": 0.9951171875}, {"start": 263.46, "end": 264.04, "word": " هتساوة", "probability": 0.9217122395833334}, {"start": 264.04, "end": 264.26, "word": " 1", "probability": 0.95556640625}, {"start": 264.26, "end": 264.64, "word": " زي", "probability": 0.98388671875}, {"start": 264.64, "end": 265.12, "word": " ال", "probability": 0.9296875}, {"start": 265.12, "end": 265.68, "word": " integration", "probability": 0.974609375}, {"start": 265.68, "end": 265.92, "word": " من", "probability": 0.98583984375}, {"start": 265.92, "end": 266.12, "word": " 0", "probability": 0.94921875}, {"start": 266.12, "end": 266.28, "word": " ل", "probability": 0.7080078125}, {"start": 266.28, "end": 266.6, "word": " X", "probability": 0.87255859375}, {"start": 266.6, "end": 266.86, "word": " لل", "probability": 0.5947265625}, {"start": 266.86, "end": 267.46, "word": " EN", "probability": 0.4130859375}, {"start": 267.46, "end": 267.68, "word": " اللي", "probability": 0.9697265625}, {"start": 267.68, "end": 267.9, "word": " جاب", "probability": 0.910400390625}, {"start": 267.9, "end": 268.24, "word": " الها", "probability": 0.277099609375}, {"start": 268.24, "end": 268.4, "word": " دي", "probability": 0.8779296875}], "temperature": 1.0}, {"id": 13, "seek": 29776, "start": 268.58, "end": 297.76, "text": "of D D T لكل N element in N و لكل X element in M in R نيجي الآن نطلع على الملاحظات اللي بدنا نحكيها عشان نستخدمها الان 1 زائد X دالة متصلة مش متصلة أصلا بس هي أصلا قابلة للتفاضل أيضا اللي هي differentiable الان بناء عليه مدام ال E1 is continuous هتكون اللي هي E2", "tokens": [2670, 413, 413, 314, 5296, 28820, 426, 4478, 294, 426, 4032, 5296, 28820, 1783, 4478, 294, 376, 294, 497, 8717, 1829, 7435, 1829, 6024, 48506, 8717, 9566, 1211, 3615, 15844, 9673, 15040, 5016, 19913, 9307, 13672, 1829, 47525, 8315, 8717, 5016, 4117, 1829, 11296, 6225, 8592, 7649, 8717, 14851, 9778, 40448, 11296, 2423, 7649, 502, 30767, 16373, 3215, 1783, 11778, 6027, 3660, 44650, 36520, 3660, 37893, 44650, 36520, 3660, 5551, 9381, 15040, 4724, 3794, 39896, 5551, 9381, 15040, 12174, 16758, 37977, 24976, 2655, 5172, 46958, 1211, 36632, 11242, 995, 13672, 1829, 39896, 819, 9364, 2423, 7649, 44945, 16606, 47356, 3714, 3215, 10943, 2423, 462, 16, 307, 10957, 8032, 2655, 30544, 13672, 1829, 39896, 462, 17], "avg_logprob": -0.23208513085184426, "compression_ratio": 1.6305220883534137, "no_speech_prob": 9.119510650634766e-06, "words": [{"start": 268.58, "end": 269.02, "word": "of", "probability": 0.529296875}, {"start": 269.02, "end": 269.44, "word": " D", "probability": 0.447998046875}, {"start": 269.44, "end": 270.1, "word": " D", "probability": 0.298095703125}, {"start": 270.1, "end": 270.42, "word": " T", "probability": 0.388916015625}, {"start": 270.42, "end": 270.88, "word": " لكل", "probability": 0.931884765625}, {"start": 270.88, "end": 271.18, "word": " N", "probability": 0.69677734375}, {"start": 271.18, "end": 271.44, "word": " element", "probability": 0.08026123046875}, {"start": 271.44, "end": 271.72, "word": " in", "probability": 0.285888671875}, {"start": 271.72, "end": 271.94, "word": " N", "probability": 0.87255859375}, {"start": 271.94, "end": 272.32, "word": " و", "probability": 0.87548828125}, {"start": 272.32, "end": 272.74, "word": " لكل", "probability": 0.78076171875}, {"start": 272.74, "end": 273.04, "word": " X", "probability": 0.98291015625}, {"start": 273.04, "end": 273.34, "word": " element", "probability": 0.9306640625}, {"start": 273.34, "end": 273.74, "word": " in", "probability": 0.86328125}, {"start": 273.74, "end": 273.88, "word": " M", "probability": 0.24658203125}, {"start": 273.88, "end": 274.62, "word": " in", "probability": 0.59130859375}, {"start": 274.62, "end": 274.98, "word": " R", "probability": 0.9931640625}, {"start": 274.98, "end": 275.6, "word": " نيجي", "probability": 0.69189453125}, {"start": 275.6, "end": 275.94, "word": " الآن", "probability": 0.61962890625}, {"start": 275.94, "end": 276.5, "word": " نطلع", "probability": 0.8651123046875}, {"start": 276.5, "end": 276.72, "word": " على", "probability": 0.55859375}, {"start": 276.72, "end": 277.62, "word": " الملاحظات", "probability": 0.98212890625}, {"start": 277.62, "end": 277.74, "word": " اللي", "probability": 0.885009765625}, {"start": 277.74, "end": 277.98, "word": " بدنا", "probability": 0.7396240234375}, {"start": 277.98, "end": 278.7, "word": " نحكيها", "probability": 0.976953125}, {"start": 278.7, "end": 278.96, "word": " عشان", "probability": 0.97509765625}, {"start": 278.96, "end": 279.8, "word": " نستخدمها", "probability": 0.9939453125}, {"start": 279.8, "end": 280.56, "word": " الان", "probability": 0.6632080078125}, {"start": 280.56, "end": 280.92, "word": " 1", "probability": 0.4462890625}, {"start": 280.92, "end": 281.44, "word": " زائد", "probability": 0.672119140625}, {"start": 281.44, "end": 281.7, "word": " X", "probability": 0.95947265625}, {"start": 281.7, "end": 282.5, "word": " دالة", "probability": 0.9490559895833334}, {"start": 282.5, "end": 283.56, "word": " متصلة", "probability": 0.89794921875}, {"start": 283.56, "end": 283.76, "word": " مش", "probability": 0.8779296875}, {"start": 283.76, "end": 284.42, "word": " متصلة", "probability": 0.9267578125}, {"start": 284.42, "end": 284.76, "word": " أصلا", "probability": 0.880859375}, {"start": 284.76, "end": 285.26, "word": " بس", "probability": 0.976318359375}, {"start": 285.26, "end": 285.8, "word": " هي", "probability": 0.78271484375}, {"start": 285.8, "end": 286.26, "word": " أصلا", "probability": 0.8956705729166666}, {"start": 286.26, "end": 286.84, "word": " قابلة", "probability": 0.99365234375}, {"start": 286.84, "end": 287.6, "word": " للتفاضل", "probability": 0.8255859375}, {"start": 287.6, "end": 288.0, "word": " أيضا", "probability": 0.9436848958333334}, {"start": 288.0, "end": 288.28, "word": " اللي", "probability": 0.89599609375}, {"start": 288.28, "end": 288.54, "word": " هي", "probability": 0.78125}, {"start": 288.54, "end": 289.36, "word": " differentiable", "probability": 0.86181640625}, {"start": 289.36, "end": 290.38, "word": " الان", "probability": 0.667236328125}, {"start": 290.38, "end": 291.42, "word": " بناء", "probability": 0.948486328125}, {"start": 291.42, "end": 291.9, "word": " عليه", "probability": 0.3388671875}, {"start": 291.9, "end": 292.4, "word": " مدام", "probability": 0.8404947916666666}, {"start": 292.4, "end": 292.6, "word": " ال", "probability": 0.76806640625}, {"start": 292.6, "end": 293.36, "word": " E1", "probability": 0.805908203125}, {"start": 293.36, "end": 294.02, "word": " is", "probability": 0.8515625}, {"start": 294.02, "end": 294.86, "word": " continuous", "probability": 0.908203125}, {"start": 294.86, "end": 296.06, "word": " هتكون", "probability": 0.9093424479166666}, {"start": 296.06, "end": 296.28, "word": " اللي", "probability": 0.94140625}, {"start": 296.28, "end": 296.62, "word": " هي", "probability": 0.92822265625}, {"start": 296.62, "end": 297.76, "word": " E2", "probability": 0.9833984375}], "temperature": 1.0}, {"id": 14, "seek": 32282, "start": 299.3, "end": 322.82, "text": "E2 هي الانتجراش للـ E1 الـ E1 هي الانتجراش للـ E1 الـ E1 هي الانتجراش للـ E1 الـ E1 هي الانتجراش للـ E1 الـ E1 هي الانتجراش للـ E1 الـ E1 هي الانتجراش للـ E1 الـ E1 هي الانتجراش للـ E1 الـ E1 هي الانتجراش للـ E1 الـ E1 هي الانتجراش للـ E1 الـ E1 هي الانتجراش للـ E1 الـ E1 هي الانتجراش للـ E1 الـ E1 هي الانتجراش للـ E1 الـ E1 هي الانتجراش للـ E1 الـ E1 هي الانتجراش للـ E1 الـ E1 هي الانتجراش للـ E1 ال", "tokens": [36, 17, 39896, 2423, 7649, 2655, 7435, 2288, 33599, 24976, 39184, 462, 16, 2423, 39184, 462, 16, 39896, 2423, 7649, 2655, 7435, 2288, 33599, 24976, 39184, 462, 16, 2423, 39184, 462, 16, 39896, 2423, 7649, 2655, 7435, 2288, 33599, 24976, 39184, 462, 16, 2423, 39184, 462, 16, 39896, 2423, 7649, 2655, 7435, 2288, 33599, 24976, 39184, 462, 16, 2423, 39184, 462, 16, 39896, 2423, 7649, 2655, 7435, 2288, 33599, 24976, 39184, 462, 16, 2423, 39184, 462, 16, 39896, 2423, 7649, 2655, 7435, 2288, 33599, 24976, 39184, 462, 16, 2423, 39184, 462, 16, 39896, 2423, 7649, 2655, 7435, 2288, 33599, 24976, 39184, 462, 16, 2423, 39184, 462, 16, 39896, 2423, 7649, 2655, 7435, 2288, 33599, 24976, 39184, 462, 16, 2423, 39184, 462, 16, 39896, 2423, 7649, 2655, 7435, 2288, 33599, 24976, 39184, 462, 16, 2423, 39184, 462, 16, 39896, 2423, 7649, 2655, 7435, 2288, 33599, 24976, 39184, 462, 16, 2423, 39184, 462, 16, 39896, 2423, 7649, 2655, 7435, 2288, 33599, 24976, 39184, 462, 16, 2423, 39184, 462, 16, 39896, 2423, 7649, 2655, 7435, 2288, 33599, 24976, 39184, 462, 16, 2423, 39184, 462, 16, 39896, 2423, 7649, 2655, 7435, 2288, 33599, 24976, 39184, 462, 16, 2423, 39184, 462, 16, 39896, 2423, 7649, 2655, 7435, 2288, 33599, 24976, 39184, 462, 16, 2423, 39184, 462, 16, 39896, 2423, 7649, 2655, 7435, 2288, 33599, 24976, 39184, 462, 16, 2423], "avg_logprob": -0.10812500105963813, "compression_ratio": 12.39622641509434, "no_speech_prob": 1.7285346984863281e-06, "words": [{"start": 299.29999999999995, "end": 299.71999999999997, "word": "E2", "probability": 0.702392578125}, {"start": 299.71999999999997, "end": 300.14, "word": " هي", "probability": 0.046356201171875}, {"start": 300.14, "end": 301.12, "word": " الانتجراش", "probability": 0.537841796875}, {"start": 301.12, "end": 301.46, "word": " للـ", "probability": 0.519287109375}, {"start": 301.46, "end": 302.16, "word": " E1", "probability": 0.856201171875}, {"start": 302.16, "end": 302.88, "word": " الـ", "probability": 0.654541015625}, {"start": 302.88, "end": 303.2, "word": " E1", "probability": 0.966064453125}, {"start": 303.2, "end": 303.38, "word": " هي", "probability": 0.28076171875}, {"start": 303.38, "end": 303.74, "word": " الانتجراش", "probability": 0.8194986979166666}, {"start": 303.74, "end": 303.86, "word": " للـ", "probability": 0.65185546875}, {"start": 303.86, "end": 303.86, "word": " E1", "probability": 0.96337890625}, {"start": 303.86, "end": 303.94, "word": " الـ", "probability": 0.8173828125}, {"start": 303.94, "end": 303.94, "word": " E1", "probability": 0.97900390625}, {"start": 303.94, "end": 303.94, "word": " هي", "probability": 0.368896484375}, {"start": 303.94, "end": 303.94, "word": " الانتجراش", "probability": 0.9615885416666666}, {"start": 303.94, "end": 303.94, "word": " للـ", "probability": 0.94677734375}, {"start": 303.94, "end": 303.94, "word": " E1", "probability": 0.9853515625}, {"start": 303.94, "end": 303.96, "word": " الـ", "probability": 0.94970703125}, {"start": 303.96, "end": 303.96, "word": " E1", "probability": 0.984619140625}, {"start": 303.96, "end": 303.96, "word": " هي", "probability": 0.297607421875}, {"start": 303.96, "end": 303.96, "word": " الانتجراش", "probability": 0.96630859375}, {"start": 303.96, "end": 303.96, "word": " للـ", "probability": 0.962158203125}, {"start": 303.96, "end": 303.96, "word": " E1", "probability": 0.989501953125}, {"start": 303.96, "end": 304.18, "word": " الـ", "probability": 0.937255859375}, {"start": 304.18, "end": 304.38, "word": " E1", "probability": 0.984375}, {"start": 304.38, "end": 304.38, "word": " هي", "probability": 0.337646484375}, {"start": 304.38, "end": 304.78, "word": " الانتجراش", "probability": 0.9673665364583334}, {"start": 304.78, "end": 305.0, "word": " للـ", "probability": 0.96728515625}, {"start": 305.0, "end": 305.82, "word": " E1", "probability": 0.990478515625}, {"start": 305.82, "end": 305.82, "word": " الـ", "probability": 0.89013671875}, {"start": 305.82, "end": 306.62, "word": " E1", "probability": 0.981201171875}, {"start": 306.62, "end": 306.62, "word": " هي", "probability": 0.55615234375}, {"start": 306.62, "end": 307.12, "word": " الانتجراش", "probability": 0.9685872395833334}, {"start": 307.12, "end": 307.32, "word": " للـ", "probability": 0.972412109375}, {"start": 307.32, "end": 307.84, "word": " E1", "probability": 0.990966796875}, {"start": 307.84, "end": 308.08, "word": " الـ", "probability": 0.88134765625}, {"start": 308.08, "end": 308.98, "word": " E1", "probability": 0.979736328125}, {"start": 308.98, "end": 308.98, "word": " هي", "probability": 0.708984375}, {"start": 308.98, "end": 309.22, "word": " الانتجراش", "probability": 0.970947265625}, {"start": 309.22, "end": 309.3, "word": " للـ", "probability": 0.9755859375}, {"start": 309.3, "end": 309.3, "word": " E1", "probability": 0.991943359375}, {"start": 309.3, "end": 309.46, "word": " الـ", "probability": 0.87841796875}, {"start": 309.46, "end": 310.24, "word": " E1", "probability": 0.980224609375}, {"start": 310.24, "end": 310.24, "word": " هي", "probability": 0.8125}, {"start": 310.24, "end": 310.94, "word": " الانتجراش", "probability": 0.9728190104166666}, {"start": 310.94, "end": 311.08, "word": " للـ", "probability": 0.9794921875}, {"start": 311.08, "end": 311.3, "word": " E1", "probability": 0.991943359375}, {"start": 311.3, "end": 311.48, "word": " الـ", "probability": 0.88671875}, {"start": 311.48, "end": 311.48, "word": " E1", "probability": 0.983154296875}, {"start": 311.48, "end": 311.48, "word": " هي", "probability": 0.87255859375}, {"start": 311.48, "end": 311.84, "word": " الانتجراش", "probability": 0.9740397135416666}, {"start": 311.84, "end": 311.84, "word": " للـ", "probability": 0.98095703125}, {"start": 311.84, "end": 311.84, "word": " E1", "probability": 0.9921875}, {"start": 311.84, "end": 311.86, "word": " الـ", "probability": 0.904052734375}, {"start": 311.86, "end": 312.12, "word": " E1", "probability": 0.986083984375}, {"start": 312.12, "end": 312.12, "word": " هي", "probability": 0.90869140625}, {"start": 312.12, "end": 312.82, "word": " الانتجراش", "probability": 0.9763997395833334}, {"start": 312.82, "end": 312.96, "word": " للـ", "probability": 0.982666015625}, {"start": 312.96, "end": 313.14, "word": " E1", "probability": 0.992919921875}, {"start": 313.14, "end": 313.14, "word": " الـ", "probability": 0.908203125}, {"start": 313.14, "end": 313.98, "word": " E1", "probability": 0.98779296875}, {"start": 313.98, "end": 313.98, "word": " هي", "probability": 0.9326171875}, {"start": 313.98, "end": 314.0, "word": " الانتجراش", "probability": 0.9767252604166666}, {"start": 314.0, "end": 314.06, "word": " للـ", "probability": 0.982421875}, {"start": 314.06, "end": 314.06, "word": " E1", "probability": 0.99267578125}, {"start": 314.06, "end": 314.08, "word": " الـ", "probability": 0.9140625}, {"start": 314.08, "end": 314.9, "word": " E1", "probability": 0.98974609375}, {"start": 314.9, "end": 314.98, "word": " هي", "probability": 0.94873046875}, {"start": 314.98, "end": 316.48, "word": " الانتجراش", "probability": 0.97900390625}, {"start": 316.48, "end": 316.56, "word": " للـ", "probability": 0.98193359375}, {"start": 316.56, "end": 316.62, "word": " E1", "probability": 0.991943359375}, {"start": 316.62, "end": 316.78, "word": " الـ", "probability": 0.912109375}, {"start": 316.78, "end": 316.96, "word": " E1", "probability": 0.990478515625}, {"start": 316.96, "end": 317.08, "word": " هي", "probability": 0.95947265625}, {"start": 317.08, "end": 317.4, "word": " الانتجراش", "probability": 0.9785970052083334}, {"start": 317.4, "end": 317.52, "word": " للـ", "probability": 0.980712890625}, {"start": 317.52, "end": 318.48, "word": " E1", "probability": 0.99169921875}, {"start": 318.48, "end": 318.84, "word": " الـ", "probability": 0.9150390625}, {"start": 318.84, "end": 318.98, "word": " E1", "probability": 0.9912109375}, {"start": 318.98, "end": 318.98, "word": " هي", "probability": 0.96533203125}, {"start": 318.98, "end": 320.56, "word": " الانتجراش", "probability": 0.9798990885416666}, {"start": 320.56, "end": 320.64, "word": " للـ", "probability": 0.979248046875}, {"start": 320.64, "end": 320.78, "word": " E1", "probability": 0.991455078125}, {"start": 320.78, "end": 320.82, "word": " الـ", "probability": 0.91455078125}, {"start": 320.82, "end": 321.02, "word": " E1", "probability": 0.991455078125}, {"start": 321.02, "end": 321.12, "word": " هي", "probability": 0.96923828125}, {"start": 321.12, "end": 322.58, "word": " الانتجراش", "probability": 0.9756673177083334}, {"start": 322.58, "end": 322.62, "word": " للـ", "probability": 0.978759765625}, {"start": 322.62, "end": 322.74, "word": " E1", "probability": 0.9921875}, {"start": 322.74, "end": 322.82, "word": " ال", "probability": 0.92431640625}], "temperature": 1.0}, {"id": 15, "seek": 32727, "start": 325.75, "end": 327.27, "text": "الآن F.E.L.�", "tokens": [6027, 148, 48506, 479, 13, 36, 13, 43, 13, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119, 123, 171, 119], "avg_logprob": -0.07395833121405708, "compression_ratio": 7.451612903225806, "no_speech_prob": 0.0, "words": [{"start": 325.75, "end": 326.31, "word": "الآن", "probability": 0.6048990885416666}, {"start": 326.31, "end": 326.77, "word": " F", "probability": 0.1353759765625}, {"start": 326.77, "end": 327.01, "word": ".E", "probability": 0.617431640625}, {"start": 327.01, "end": 327.27, "word": ".L", "probability": 0.987060546875}], "temperature": 1.0}, {"id": 16, "seek": 35823, "start": 331.05, "end": 358.23, "text": "in on R then it is integrable over any bounded interval زي ما قلنا مدام هذا continuous اللي هي E اللي هي 2 continuous ومن هنا هتطلع E 3 continuous وE 4 continuous إذا صارت هذي دايما continuous وده continuous وده integration exist و by fundamental theorem هذا ال integration كله على بعض can be differentiated", "tokens": [259, 322, 497, 550, 309, 307, 16200, 424, 638, 670, 604, 37498, 15035, 30767, 1829, 19446, 12174, 1211, 8315, 3714, 3215, 10943, 23758, 10957, 13672, 1829, 39896, 462, 13672, 1829, 39896, 568, 10957, 4032, 27842, 34105, 8032, 2655, 9566, 1211, 3615, 462, 805, 10957, 4032, 36, 1017, 10957, 11933, 15730, 20328, 9640, 2655, 8032, 8848, 1829, 11778, 47302, 15042, 10957, 4032, 3215, 3224, 10957, 4032, 3215, 3224, 10980, 2514, 4032, 538, 8088, 20904, 23758, 2423, 10980, 28242, 3224, 15844, 45030, 11242, 393, 312, 27372, 770], "avg_logprob": -0.34502181029596996, "compression_ratio": 1.6394849785407726, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 331.05, "end": 331.33, "word": "in", "probability": 0.05828857421875}, {"start": 331.33, "end": 331.65, "word": " on", "probability": 0.52490234375}, {"start": 331.65, "end": 331.97, "word": " R", "probability": 0.73486328125}, {"start": 331.97, "end": 332.27, "word": " then", "probability": 0.344970703125}, {"start": 332.27, "end": 332.55, "word": " it", "probability": 0.96484375}, {"start": 332.55, "end": 332.79, "word": " is", "probability": 0.90576171875}, {"start": 332.79, "end": 333.61, "word": " integrable", "probability": 0.8937174479166666}, {"start": 333.61, "end": 334.11, "word": " over", "probability": 0.91259765625}, {"start": 334.11, "end": 334.49, "word": " any", "probability": 0.892578125}, {"start": 334.49, "end": 334.95, "word": " bounded", "probability": 0.9404296875}, {"start": 334.95, "end": 335.69, "word": " interval", "probability": 0.96923828125}, {"start": 335.69, "end": 336.09, "word": " زي", "probability": 0.789794921875}, {"start": 336.09, "end": 336.17, "word": " ما", "probability": 0.96630859375}, {"start": 336.17, "end": 336.47, "word": " قلنا", "probability": 0.86962890625}, {"start": 336.47, "end": 336.75, "word": " مدام", "probability": 0.6617024739583334}, {"start": 336.75, "end": 336.91, "word": " هذا", "probability": 0.23046875}, {"start": 336.91, "end": 337.49, "word": " continuous", "probability": 0.9404296875}, {"start": 337.49, "end": 338.49, "word": " اللي", "probability": 0.7130126953125}, {"start": 338.49, "end": 338.83, "word": " هي", "probability": 0.89208984375}, {"start": 338.83, "end": 339.59, "word": " E", "probability": 0.79833984375}, {"start": 339.59, "end": 340.47, "word": " اللي", "probability": 0.773193359375}, {"start": 340.47, "end": 340.67, "word": " هي", "probability": 0.9091796875}, {"start": 340.67, "end": 340.99, "word": " 2", "probability": 0.7138671875}, {"start": 340.99, "end": 341.85, "word": " continuous", "probability": 0.95166015625}, {"start": 341.85, "end": 342.47, "word": " ومن", "probability": 0.8486328125}, {"start": 342.47, "end": 342.61, "word": " هنا", "probability": 0.62060546875}, {"start": 342.61, "end": 343.09, "word": " هتطلع", "probability": 0.875927734375}, {"start": 343.09, "end": 343.45, "word": " E", "probability": 0.97119140625}, {"start": 343.45, "end": 344.37, "word": " 3", "probability": 0.452880859375}, {"start": 344.37, "end": 345.21, "word": " continuous", "probability": 0.93994140625}, {"start": 345.21, "end": 345.51, "word": " وE", "probability": 0.787109375}, {"start": 345.51, "end": 345.83, "word": " 4", "probability": 0.78857421875}, {"start": 345.83, "end": 346.65, "word": " continuous", "probability": 0.94091796875}, {"start": 346.65, "end": 347.29, "word": " إذا", "probability": 0.649169921875}, {"start": 347.29, "end": 347.77, "word": " صارت", "probability": 0.9479166666666666}, {"start": 347.77, "end": 348.19, "word": " هذي", "probability": 0.4078369140625}, {"start": 348.19, "end": 348.75, "word": " دايما", "probability": 0.7425130208333334}, {"start": 348.75, "end": 349.23, "word": " continuous", "probability": 0.92041015625}, {"start": 349.23, "end": 349.53, "word": " وده", "probability": 0.489990234375}, {"start": 349.53, "end": 350.35, "word": " continuous", "probability": 0.326904296875}, {"start": 350.35, "end": 350.61, "word": " وده", "probability": 0.7721354166666666}, {"start": 350.61, "end": 351.17, "word": " integration", "probability": 0.375}, {"start": 351.17, "end": 351.91, "word": " exist", "probability": 0.35986328125}, {"start": 351.91, "end": 352.33, "word": " و", "probability": 0.92041015625}, {"start": 352.33, "end": 352.51, "word": " by", "probability": 0.4560546875}, {"start": 352.51, "end": 353.17, "word": " fundamental", "probability": 0.71875}, {"start": 353.17, "end": 353.81, "word": " theorem", "probability": 0.7900390625}, {"start": 353.81, "end": 354.31, "word": " هذا", "probability": 0.83154296875}, {"start": 354.31, "end": 354.55, "word": " ال", "probability": 0.96337890625}, {"start": 354.55, "end": 355.37, "word": " integration", "probability": 0.90234375}, {"start": 355.37, "end": 356.13, "word": " كله", "probability": 0.956787109375}, {"start": 356.13, "end": 356.29, "word": " على", "probability": 0.52880859375}, {"start": 356.29, "end": 356.59, "word": " بعض", "probability": 0.982666015625}, {"start": 356.59, "end": 356.87, "word": " can", "probability": 0.9033203125}, {"start": 356.87, "end": 357.25, "word": " be", "probability": 0.96337890625}, {"start": 357.25, "end": 358.23, "word": " differentiated", "probability": 0.805419921875}], "temperature": 1.0}, {"id": 17, "seek": 38518, "start": 358.44, "end": 385.18, "text": "وهتكون الهو ايش is differentiable ومنه so EN زائد واحد is well defined by the above formula moreover زي ما قلت it is from fundamental theorem of calculus ال second form اللي هي سبعة تلاتة خمسة هيكون عند ال EN زائد واحد is differentiable ومش هيك وتفاضل هذه زي ما احنا عارفين بساوي بنشيل ال integration طبعا التفاضل بلغ ال integration", "tokens": [2407, 3224, 2655, 30544, 2423, 3224, 2407, 1975, 1829, 8592, 307, 819, 9364, 4032, 27842, 3224, 370, 15244, 30767, 16373, 3215, 36764, 24401, 307, 731, 7642, 538, 264, 3673, 8513, 544, 3570, 30767, 1829, 19446, 12174, 1211, 2655, 309, 307, 490, 8088, 20904, 295, 33400, 2423, 1150, 1254, 13672, 1829, 39896, 8608, 3555, 27884, 6055, 1211, 9307, 3660, 16490, 2304, 3794, 3660, 39896, 30544, 43242, 2423, 15244, 30767, 16373, 3215, 36764, 24401, 307, 819, 9364, 4032, 2304, 8592, 39896, 4117, 4032, 2655, 5172, 46958, 1211, 29538, 30767, 1829, 19446, 1975, 5016, 8315, 6225, 9640, 5172, 9957, 4724, 3794, 995, 45865, 44945, 8592, 26895, 2423, 10980, 23032, 3555, 3615, 995, 16712, 5172, 46958, 1211, 4724, 1211, 17082, 2423, 10980], "avg_logprob": -0.21848739721194035, "compression_ratio": 1.6666666666666667, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 358.44, "end": 359.14, "word": "وهتكون", "probability": 0.481414794921875}, {"start": 359.14, "end": 359.58, "word": " الهو", "probability": 0.559814453125}, {"start": 359.58, "end": 359.94, "word": " ايش", "probability": 0.6253255208333334}, {"start": 359.94, "end": 360.28, "word": " is", "probability": 0.5244140625}, {"start": 360.28, "end": 361.16, "word": " differentiable", "probability": 0.931396484375}, {"start": 361.16, "end": 362.14, "word": " ومنه", "probability": 0.91845703125}, {"start": 362.14, "end": 362.64, "word": " so", "probability": 0.426513671875}, {"start": 362.64, "end": 362.98, "word": " EN", "probability": 0.2196044921875}, {"start": 362.98, "end": 363.4, "word": " زائد", "probability": 0.6422119140625}, {"start": 363.4, "end": 363.76, "word": " واحد", "probability": 0.958740234375}, {"start": 363.76, "end": 364.0, "word": " is", "probability": 0.90869140625}, {"start": 364.0, "end": 364.24, "word": " well", "probability": 0.880859375}, {"start": 364.24, "end": 364.68, "word": " defined", "probability": 0.71142578125}, {"start": 364.68, "end": 365.04, "word": " by", "probability": 0.9443359375}, {"start": 365.04, "end": 365.2, "word": " the", "probability": 0.89892578125}, {"start": 365.2, "end": 365.52, "word": " above", "probability": 0.837890625}, {"start": 365.52, "end": 366.06, "word": " formula", "probability": 0.93212890625}, {"start": 366.06, "end": 367.02, "word": " moreover", "probability": 0.7158203125}, {"start": 367.02, "end": 367.2, "word": " زي", "probability": 0.9189453125}, {"start": 367.2, "end": 367.28, "word": " ما", "probability": 0.96484375}, {"start": 367.28, "end": 367.64, "word": " قلت", "probability": 0.8592122395833334}, {"start": 367.64, "end": 367.84, "word": " it", "probability": 0.88232421875}, {"start": 367.84, "end": 368.06, "word": " is", "probability": 0.9365234375}, {"start": 368.06, "end": 368.42, "word": " from", "probability": 0.90087890625}, {"start": 368.42, "end": 369.3, "word": " fundamental", "probability": 0.6611328125}, {"start": 369.3, "end": 369.68, "word": " theorem", "probability": 0.82861328125}, {"start": 369.68, "end": 369.9, "word": " of", "probability": 0.96923828125}, {"start": 369.9, "end": 370.48, "word": " calculus", "probability": 0.9384765625}, {"start": 370.48, "end": 371.0, "word": " ال", "probability": 0.76904296875}, {"start": 371.0, "end": 371.26, "word": " second", "probability": 0.80712890625}, {"start": 371.26, "end": 371.84, "word": " form", "probability": 0.92919921875}, {"start": 371.84, "end": 372.0, "word": " اللي", "probability": 0.76708984375}, {"start": 372.0, "end": 372.14, "word": " هي", "probability": 0.94091796875}, {"start": 372.14, "end": 372.4, "word": " سبعة", "probability": 0.8465169270833334}, {"start": 372.4, "end": 372.72, "word": " تلاتة", "probability": 0.8482666015625}, {"start": 372.72, "end": 373.22, "word": " خمسة", "probability": 0.9556884765625}, {"start": 373.22, "end": 373.86, "word": " هيكون", "probability": 0.66357421875}, {"start": 373.86, "end": 374.2, "word": " عند", "probability": 0.97705078125}, {"start": 374.2, "end": 374.4, "word": " ال", "probability": 0.85205078125}, {"start": 374.4, "end": 374.68, "word": " EN", "probability": 0.84716796875}, {"start": 374.68, "end": 375.1, "word": " زائد", "probability": 0.9402669270833334}, {"start": 375.1, "end": 375.58, "word": " واحد", "probability": 0.98828125}, {"start": 375.58, "end": 375.92, "word": " is", "probability": 0.95556640625}, {"start": 375.92, "end": 376.7, "word": " differentiable", "probability": 0.9677734375}, {"start": 376.7, "end": 377.38, "word": " ومش", "probability": 0.9680989583333334}, {"start": 377.38, "end": 377.8, "word": " هيك", "probability": 0.97265625}, {"start": 377.8, "end": 378.44, "word": " وتفاضل", "probability": 0.87685546875}, {"start": 378.44, "end": 378.78, "word": " هذه", "probability": 0.61767578125}, {"start": 378.78, "end": 379.0, "word": " زي", "probability": 0.98583984375}, {"start": 379.0, "end": 379.08, "word": " ما", "probability": 0.97509765625}, {"start": 379.08, "end": 379.28, "word": " احنا", "probability": 0.9368489583333334}, {"start": 379.28, "end": 379.92, "word": " عارفين", "probability": 0.9832763671875}, {"start": 379.92, "end": 380.78, "word": " بساوي", "probability": 0.8577880859375}, {"start": 380.78, "end": 381.28, "word": " بنشيل", "probability": 0.8883463541666666}, {"start": 381.28, "end": 381.4, "word": " ال", "probability": 0.96484375}, {"start": 381.4, "end": 382.0, "word": " integration", "probability": 0.98095703125}, {"start": 382.0, "end": 383.52, "word": " طبعا", "probability": 0.780975341796875}, {"start": 383.52, "end": 384.28, "word": " التفاضل", "probability": 0.97265625}, {"start": 384.28, "end": 384.54, "word": " بلغ", "probability": 0.82763671875}, {"start": 384.54, "end": 384.66, "word": " ال", "probability": 0.54150390625}, {"start": 384.66, "end": 385.18, "word": " integration", "probability": 0.98291015625}], "temperature": 1.0}, {"id": 18, "seek": 40676, "start": 385.44, "end": 406.76, "text": "بصير en of x فبصير عندي ال en زائد واحد prime of x موجودة ويساوي en x for all n element in N إذن الآن عملنا sequence ال sequence هذه طلعت sequence of differentiable functions و ال derivative لل en زائد واحد prime هي بترجع لمين بتيجي اللي هي ال en of x", "tokens": [3555, 9381, 13546, 465, 295, 2031, 6156, 3555, 9381, 13546, 43242, 1829, 2423, 465, 30767, 16373, 3215, 36764, 24401, 5835, 295, 2031, 3714, 29245, 23328, 3660, 4032, 1829, 3794, 995, 45865, 465, 2031, 337, 439, 297, 4478, 294, 426, 11933, 8848, 1863, 6024, 48506, 6225, 42213, 8315, 8310, 2423, 8310, 29538, 23032, 1211, 34268, 8310, 295, 819, 9364, 6828, 4032, 2423, 13760, 24976, 465, 30767, 16373, 3215, 36764, 24401, 5835, 39896, 39894, 47341, 3615, 32767, 9957, 39894, 1829, 7435, 1829, 13672, 1829, 39896, 2423, 465, 295, 2031], "avg_logprob": -0.3277698958461935, "compression_ratio": 1.5779816513761469, "no_speech_prob": 4.0531158447265625e-06, "words": [{"start": 385.44, "end": 385.96, "word": "بصير", "probability": 0.76513671875}, {"start": 385.96, "end": 386.34, "word": " en", "probability": 0.19677734375}, {"start": 386.34, "end": 387.24, "word": " of", "probability": 0.59375}, {"start": 387.24, "end": 387.52, "word": " x", "probability": 0.57958984375}, {"start": 387.52, "end": 387.94, "word": " فبصير", "probability": 0.8350830078125}, {"start": 387.94, "end": 388.28, "word": " عندي", "probability": 0.5494384765625}, {"start": 388.28, "end": 388.4, "word": " ال", "probability": 0.51708984375}, {"start": 388.4, "end": 388.74, "word": " en", "probability": 0.293212890625}, {"start": 388.74, "end": 389.22, "word": " زائد", "probability": 0.6943359375}, {"start": 389.22, "end": 389.52, "word": " واحد", "probability": 0.941650390625}, {"start": 389.52, "end": 389.84, "word": " prime", "probability": 0.236083984375}, {"start": 389.84, "end": 390.1, "word": " of", "probability": 0.9443359375}, {"start": 390.1, "end": 390.48, "word": " x", "probability": 0.85107421875}, {"start": 390.48, "end": 391.48, "word": " موجودة", "probability": 0.9085693359375}, {"start": 391.48, "end": 391.92, "word": " ويساوي", "probability": 0.824609375}, {"start": 391.92, "end": 392.3, "word": " en", "probability": 0.5517578125}, {"start": 392.3, "end": 392.7, "word": " x", "probability": 0.8115234375}, {"start": 392.7, "end": 393.08, "word": " for", "probability": 0.90283203125}, {"start": 393.08, "end": 393.92, "word": " all", "probability": 0.84765625}, {"start": 393.92, "end": 394.24, "word": " n", "probability": 0.5166015625}, {"start": 394.24, "end": 394.74, "word": " element", "probability": 0.666015625}, {"start": 394.74, "end": 394.9, "word": " in", "probability": 0.1783447265625}, {"start": 394.9, "end": 395.02, "word": " N", "probability": 0.452392578125}, {"start": 395.02, "end": 395.6, "word": " إذن", "probability": 0.55859375}, {"start": 395.6, "end": 395.88, "word": " الآن", "probability": 0.671142578125}, {"start": 395.88, "end": 396.3, "word": " عملنا", "probability": 0.9903971354166666}, {"start": 396.3, "end": 396.94, "word": " sequence", "probability": 0.75048828125}, {"start": 396.94, "end": 397.36, "word": " ال", "probability": 0.115966796875}, {"start": 397.36, "end": 397.72, "word": " sequence", "probability": 0.814453125}, {"start": 397.72, "end": 397.98, "word": " هذه", "probability": 0.76708984375}, {"start": 397.98, "end": 398.3, "word": " طلعت", "probability": 0.9853515625}, {"start": 398.3, "end": 398.72, "word": " sequence", "probability": 0.93603515625}, {"start": 398.72, "end": 398.88, "word": " of", "probability": 0.9716796875}, {"start": 398.88, "end": 399.38, "word": " differentiable", "probability": 0.934814453125}, {"start": 399.38, "end": 400.0, "word": " functions", "probability": 0.822265625}, {"start": 400.0, "end": 400.48, "word": " و", "probability": 0.64111328125}, {"start": 400.48, "end": 400.58, "word": " ال", "probability": 0.3974609375}, {"start": 400.58, "end": 401.04, "word": " derivative", "probability": 0.9404296875}, {"start": 401.04, "end": 401.32, "word": " لل", "probability": 0.7890625}, {"start": 401.32, "end": 401.68, "word": " en", "probability": 0.58544921875}, {"start": 401.68, "end": 402.0, "word": " زائد", "probability": 0.9220377604166666}, {"start": 402.0, "end": 402.24, "word": " واحد", "probability": 0.98828125}, {"start": 402.24, "end": 402.52, "word": " prime", "probability": 0.59228515625}, {"start": 402.52, "end": 402.88, "word": " هي", "probability": 0.82861328125}, {"start": 402.88, "end": 403.36, "word": " بترجع", "probability": 0.93359375}, {"start": 403.36, "end": 403.86, "word": " لمين", "probability": 0.92822265625}, {"start": 403.86, "end": 404.86, "word": " بتيجي", "probability": 0.7698974609375}, {"start": 404.86, "end": 405.1, "word": " اللي", "probability": 0.872314453125}, {"start": 405.1, "end": 405.28, "word": " هي", "probability": 0.6650390625}, {"start": 405.28, "end": 405.42, "word": " ال", "probability": 0.78466796875}, {"start": 405.42, "end": 405.8, "word": " en", "probability": 0.73974609375}, {"start": 405.8, "end": 406.38, "word": " of", "probability": 0.9794921875}, {"start": 406.38, "end": 406.76, "word": " x", "probability": 0.72509765625}], "temperature": 1.0}, {"id": 19, "seek": 42836, "start": 407.9, "end": 428.36, "text": "طيب الان هذا كله و ده خليني اسميها تلاتة و خليني نحضر حالنا نصل للي بدنا ياجولكم وين هنصل في الآخر هوصلكم انه اللي هو ال limit لهذه ال sequence او لهذه ال sequence هي ال E of X اللي انا بثبت وجودها", "tokens": [9566, 1829, 3555, 2423, 7649, 23758, 28242, 3224, 4032, 11778, 3224, 16490, 1211, 9957, 1829, 1975, 38251, 1829, 11296, 6055, 1211, 9307, 3660, 4032, 16490, 1211, 9957, 1829, 8717, 5016, 11242, 2288, 11331, 6027, 8315, 8717, 36520, 5296, 20292, 47525, 8315, 7251, 26108, 12610, 24793, 4032, 9957, 8032, 1863, 36520, 8978, 6024, 95, 34740, 8032, 2407, 36520, 24793, 16472, 3224, 13672, 1829, 31439, 2423, 4948, 46740, 24192, 2423, 8310, 1975, 2407, 46740, 24192, 2423, 8310, 39896, 2423, 462, 295, 1783, 13672, 1829, 1975, 8315, 4724, 12984, 3555, 2655, 49610, 23328, 11296], "avg_logprob": -0.25764266887436743, "compression_ratio": 1.712041884816754, "no_speech_prob": 2.1457672119140625e-06, "words": [{"start": 407.9, "end": 408.74, "word": "طيب", "probability": 0.7976888020833334}, {"start": 408.74, "end": 409.2, "word": " الان", "probability": 0.55828857421875}, {"start": 409.2, "end": 409.46, "word": " هذا", "probability": 0.6201171875}, {"start": 409.46, "end": 410.0, "word": " كله", "probability": 0.972900390625}, {"start": 410.0, "end": 410.14, "word": " و", "probability": 0.66162109375}, {"start": 410.14, "end": 410.32, "word": " ده", "probability": 0.268310546875}, {"start": 410.32, "end": 410.68, "word": " خليني", "probability": 0.81201171875}, {"start": 410.68, "end": 411.24, "word": " اسميها", "probability": 0.79345703125}, {"start": 411.24, "end": 411.74, "word": " تلاتة", "probability": 0.913818359375}, {"start": 411.74, "end": 411.84, "word": " و", "probability": 0.96240234375}, {"start": 411.84, "end": 412.16, "word": " خليني", "probability": 0.8857421875}, {"start": 412.16, "end": 412.62, "word": " نحضر", "probability": 0.791351318359375}, {"start": 412.62, "end": 412.88, "word": " حالنا", "probability": 0.7548828125}, {"start": 412.88, "end": 413.34, "word": " نصل", "probability": 0.677490234375}, {"start": 413.34, "end": 413.62, "word": " للي", "probability": 0.547119140625}, {"start": 413.62, "end": 413.9, "word": " بدنا", "probability": 0.804443359375}, {"start": 413.9, "end": 414.48, "word": " ياجولكم", "probability": 0.63720703125}, {"start": 414.48, "end": 414.7, "word": " وين", "probability": 0.79736328125}, {"start": 414.7, "end": 415.18, "word": " هنصل", "probability": 0.80078125}, {"start": 415.18, "end": 416.02, "word": " في", "probability": 0.46826171875}, {"start": 416.02, "end": 416.64, "word": " الآخر", "probability": 0.9235026041666666}, {"start": 416.64, "end": 417.74, "word": " هوصلكم", "probability": 0.8660888671875}, {"start": 417.74, "end": 418.66, "word": " انه", "probability": 0.600830078125}, {"start": 418.66, "end": 418.9, "word": " اللي", "probability": 0.900390625}, {"start": 418.9, "end": 419.16, "word": " هو", "probability": 0.982421875}, {"start": 419.16, "end": 419.5, "word": " ال", "probability": 0.72509765625}, {"start": 419.5, "end": 419.86, "word": " limit", "probability": 0.91259765625}, {"start": 419.86, "end": 420.48, "word": " لهذه", "probability": 0.794189453125}, {"start": 420.48, "end": 420.66, "word": " ال", "probability": 0.94384765625}, {"start": 420.66, "end": 421.5, "word": " sequence", "probability": 0.95166015625}, {"start": 421.5, "end": 422.48, "word": " او", "probability": 0.798583984375}, {"start": 422.48, "end": 422.84, "word": " لهذه", "probability": 0.952880859375}, {"start": 422.84, "end": 422.96, "word": " ال", "probability": 0.96240234375}, {"start": 422.96, "end": 423.5, "word": " sequence", "probability": 0.9921875}, {"start": 423.5, "end": 424.1, "word": " هي", "probability": 0.8984375}, {"start": 424.1, "end": 425.08, "word": " ال", "probability": 0.9326171875}, {"start": 425.08, "end": 425.4, "word": " E", "probability": 0.85107421875}, {"start": 425.4, "end": 425.7, "word": " of", "probability": 0.833984375}, {"start": 425.7, "end": 426.16, "word": " X", "probability": 0.9814453125}, {"start": 426.16, "end": 426.8, "word": " اللي", "probability": 0.9560546875}, {"start": 426.8, "end": 427.06, "word": " انا", "probability": 0.823974609375}, {"start": 427.06, "end": 427.6, "word": " بثبت", "probability": 0.9189453125}, {"start": 427.6, "end": 428.36, "word": " وجودها", "probability": 0.9938151041666666}], "temperature": 1.0}, {"id": 20, "seek": 45476, "start": 429.9, "end": 454.76, "text": "وستكون اللي هي بتحقق الشروط اللي حكيناها خلّينا نشوف ما لاستعجلش نشوف إيش اللي بدنا نصلله إذا اللي عملناه كوّننا sequence sequence زي ما قلنا اللي هي ال sequence بدأت عشان يبقى لكم الذاكرين E1 of X بساوي واحد زائد X E and زائد واحد of X بساوي الانتجرأت واحد", "tokens": [2407, 14851, 30544, 13672, 1829, 39896, 39894, 5016, 4587, 4587, 25124, 32887, 9566, 13672, 1829, 11331, 4117, 1829, 8315, 11296, 16490, 1211, 11703, 9957, 995, 8717, 8592, 38688, 19446, 20193, 14851, 3615, 7435, 1211, 8592, 8717, 8592, 38688, 11933, 1829, 8592, 13672, 1829, 47525, 8315, 8717, 36520, 43761, 11933, 15730, 13672, 1829, 6225, 42213, 8315, 3224, 9122, 2407, 11703, 1863, 8315, 8310, 8310, 30767, 1829, 19446, 12174, 1211, 8315, 13672, 1829, 39896, 2423, 8310, 47525, 10721, 2655, 6225, 8592, 7649, 7251, 3555, 4587, 7578, 5296, 24793, 32545, 995, 37983, 9957, 462, 16, 295, 1783, 4724, 3794, 995, 45865, 36764, 24401, 30767, 16373, 3215, 1783, 462, 293, 30767, 16373, 3215, 36764, 24401, 295, 1783, 4724, 3794, 995, 45865, 2423, 7649, 2655, 7435, 2288, 10721, 2655, 36764, 24401], "avg_logprob": -0.27066929368522225, "compression_ratio": 1.8689956331877728, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 429.9, "end": 430.76, "word": "وستكون", "probability": 0.4777425130208333}, {"start": 430.76, "end": 430.98, "word": " اللي", "probability": 0.3890380859375}, {"start": 430.98, "end": 431.38, "word": " هي", "probability": 0.49072265625}, {"start": 431.38, "end": 432.3, "word": " بتحقق", "probability": 0.8839111328125}, {"start": 432.3, "end": 433.02, "word": " الشروط", "probability": 0.9130859375}, {"start": 433.02, "end": 433.62, "word": " اللي", "probability": 0.922119140625}, {"start": 433.62, "end": 434.4, "word": " حكيناها", "probability": 0.90791015625}, {"start": 434.4, "end": 435.04, "word": " خلّينا", "probability": 0.743994140625}, {"start": 435.04, "end": 435.36, "word": " نشوف", "probability": 0.9046223958333334}, {"start": 435.36, "end": 435.48, "word": " ما", "probability": 0.333251953125}, {"start": 435.48, "end": 436.08, "word": " لاستعجلش", "probability": 0.5818277994791666}, {"start": 436.08, "end": 436.44, "word": " نشوف", "probability": 0.9645182291666666}, {"start": 436.44, "end": 436.72, "word": " إيش", "probability": 0.7399088541666666}, {"start": 436.72, "end": 436.88, "word": " اللي", "probability": 0.95166015625}, {"start": 436.88, "end": 437.24, "word": " بدنا", "probability": 0.94775390625}, {"start": 437.24, "end": 438.18, "word": " نصلله", "probability": 0.751708984375}, {"start": 438.18, "end": 438.72, "word": " إذا", "probability": 0.804931640625}, {"start": 438.72, "end": 438.9, "word": " اللي", "probability": 0.913818359375}, {"start": 438.9, "end": 439.44, "word": " عملناه", "probability": 0.986328125}, {"start": 439.44, "end": 439.9, "word": " كوّننا", "probability": 0.76640625}, {"start": 439.9, "end": 440.48, "word": " sequence", "probability": 0.7041015625}, {"start": 440.48, "end": 441.36, "word": " sequence", "probability": 0.1868896484375}, {"start": 441.36, "end": 441.62, "word": " زي", "probability": 0.9384765625}, {"start": 441.62, "end": 441.7, "word": " ما", "probability": 0.97412109375}, {"start": 441.7, "end": 442.14, "word": " قلنا", "probability": 0.94140625}, {"start": 442.14, "end": 442.46, "word": " اللي", "probability": 0.970458984375}, {"start": 442.46, "end": 442.76, "word": " هي", "probability": 0.93408203125}, {"start": 442.76, "end": 443.0, "word": " ال", "probability": 0.75634765625}, {"start": 443.0, "end": 443.38, "word": " sequence", "probability": 0.71923828125}, {"start": 443.38, "end": 444.08, "word": " بدأت", "probability": 0.9296875}, {"start": 444.08, "end": 444.5, "word": " عشان", "probability": 0.8504231770833334}, {"start": 444.5, "end": 444.76, "word": " يبقى", "probability": 0.61688232421875}, {"start": 444.76, "end": 444.94, "word": " لكم", "probability": 0.667236328125}, {"start": 444.94, "end": 445.6, "word": " الذاكرين", "probability": 0.8619384765625}, {"start": 445.6, "end": 446.08, "word": " E1", "probability": 0.5294189453125}, {"start": 446.08, "end": 446.34, "word": " of", "probability": 0.72509765625}, {"start": 446.34, "end": 446.76, "word": " X", "probability": 0.89990234375}, {"start": 446.76, "end": 447.78, "word": " بساوي", "probability": 0.7730712890625}, {"start": 447.78, "end": 448.16, "word": " واحد", "probability": 0.740234375}, {"start": 448.16, "end": 448.52, "word": " زائد", "probability": 0.91015625}, {"start": 448.52, "end": 448.94, "word": " X", "probability": 0.9599609375}, {"start": 448.94, "end": 449.72, "word": " E", "probability": 0.6650390625}, {"start": 449.72, "end": 450.18, "word": " and", "probability": 0.280517578125}, {"start": 450.18, "end": 451.1, "word": " زائد", "probability": 0.8846028645833334}, {"start": 451.1, "end": 451.52, "word": " واحد", "probability": 0.9736328125}, {"start": 451.52, "end": 451.8, "word": " of", "probability": 0.916015625}, {"start": 451.8, "end": 452.46, "word": " X", "probability": 0.9951171875}, {"start": 452.46, "end": 453.5, "word": " بساوي", "probability": 0.9561767578125}, {"start": 453.5, "end": 454.2, "word": " الانتجرأت", "probability": 0.7172154017857143}, {"start": 454.2, "end": 454.76, "word": " واحد", "probability": 0.943359375}], "temperature": 1.0}, {"id": 21, "seek": 47051, "start": 455.45, "end": 470.51, "text": "بسوء واحدة زي الـ integration من صفر لعدد X E N of T DT خلّين هذولة أمامنا طبعاً N element in N عندي و X أي element وين in R", "tokens": [3555, 3794, 2407, 38207, 36764, 24401, 3660, 30767, 1829, 2423, 39184, 10980, 9154, 20328, 5172, 2288, 5296, 22488, 3215, 1783, 462, 426, 295, 314, 413, 51, 16490, 1211, 11703, 9957, 8032, 8848, 12610, 3660, 5551, 2304, 10943, 8315, 23032, 3555, 3615, 995, 14111, 426, 4478, 294, 426, 18871, 16254, 4032, 1783, 36632, 4478, 4032, 9957, 294, 497], "avg_logprob": -0.4205280239212102, "compression_ratio": 1.1946308724832215, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 455.45, "end": 455.83, "word": "بسوء", "probability": 0.470184326171875}, {"start": 455.83, "end": 456.15, "word": " واحدة", "probability": 0.6975911458333334}, {"start": 456.15, "end": 456.21, "word": " زي", "probability": 0.5926513671875}, {"start": 456.21, "end": 456.35, "word": " الـ", "probability": 0.856689453125}, {"start": 456.35, "end": 456.91, "word": " integration", "probability": 0.76025390625}, {"start": 456.91, "end": 457.27, "word": " من", "probability": 0.8916015625}, {"start": 457.27, "end": 457.63, "word": " صفر", "probability": 0.702392578125}, {"start": 457.63, "end": 458.01, "word": " لعدد", "probability": 0.7493489583333334}, {"start": 458.01, "end": 458.33, "word": " X", "probability": 0.66650390625}, {"start": 458.33, "end": 458.99, "word": " E", "probability": 0.148681640625}, {"start": 458.99, "end": 459.35, "word": " N", "probability": 0.395263671875}, {"start": 459.35, "end": 459.79, "word": " of", "probability": 0.78173828125}, {"start": 459.79, "end": 460.35, "word": " T", "probability": 0.479248046875}, {"start": 460.35, "end": 461.85, "word": " DT", "probability": 0.5465087890625}, {"start": 461.85, "end": 462.53, "word": " خلّين", "probability": 0.80517578125}, {"start": 462.53, "end": 462.97, "word": " هذولة", "probability": 0.772216796875}, {"start": 462.97, "end": 463.63, "word": " أمامنا", "probability": 0.9539794921875}, {"start": 463.63, "end": 464.35, "word": " طبعاً", "probability": 0.796728515625}, {"start": 464.35, "end": 464.65, "word": " N", "probability": 0.8466796875}, {"start": 464.65, "end": 465.25, "word": " element", "probability": 0.73193359375}, {"start": 465.25, "end": 465.47, "word": " in", "probability": 0.69140625}, {"start": 465.47, "end": 465.87, "word": " N", "probability": 0.93017578125}, {"start": 465.87, "end": 467.45, "word": " عندي", "probability": 0.5665283203125}, {"start": 467.45, "end": 467.73, "word": " و", "probability": 0.406494140625}, {"start": 467.73, "end": 468.07, "word": " X", "probability": 0.84375}, {"start": 468.07, "end": 468.43, "word": " أي", "probability": 0.83740234375}, {"start": 468.43, "end": 468.95, "word": " element", "probability": 0.82080078125}, {"start": 468.95, "end": 469.57, "word": " وين", "probability": 0.4371337890625}, {"start": 469.57, "end": 470.23, "word": " in", "probability": 0.513671875}, {"start": 470.23, "end": 470.51, "word": " R", "probability": 0.98828125}], "temperature": 1.0}, {"id": 22, "seek": 49043, "start": 471.55, "end": 490.43, "text": "طيب إذا الان سار عندي اللي هو ال .. ده اللي هذي is differential لان بقوللي انه ابن الدعي ويمكن لو حد شاف قبل بشوية ما وصلنا ل E2 E2 كانت عبارة عن واحد زي دكستر بيه على اتنين اللي هو اللي هي اتنين factorial", "tokens": [9566, 1829, 3555, 11933, 15730, 2423, 7649, 8608, 9640, 18871, 16254, 13672, 1829, 31439, 2423, 4386, 11778, 3224, 13672, 1829, 8032, 8848, 1829, 307, 15756, 5296, 7649, 4724, 39648, 20292, 16472, 3224, 48127, 1863, 32748, 3615, 1829, 4032, 32640, 19452, 45164, 11331, 3215, 13412, 31845, 12174, 36150, 4724, 8592, 2407, 10632, 19446, 4032, 36520, 8315, 5296, 462, 17, 462, 17, 25961, 2655, 6225, 3555, 9640, 3660, 18871, 36764, 24401, 30767, 1829, 11778, 4117, 14851, 2288, 4724, 1829, 3224, 15844, 1975, 2655, 1863, 9957, 13672, 1829, 31439, 13672, 1829, 39896, 1975, 2655, 1863, 9957, 36916], "avg_logprob": -0.3309210463574058, "compression_ratio": 1.6519607843137254, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 471.55, "end": 471.97, "word": "طيب", "probability": 0.6905924479166666}, {"start": 471.97, "end": 472.29, "word": " إذا", "probability": 0.62744140625}, {"start": 472.29, "end": 472.69, "word": " الان", "probability": 0.5198974609375}, {"start": 472.69, "end": 472.97, "word": " سار", "probability": 0.587890625}, {"start": 472.97, "end": 473.41, "word": " عندي", "probability": 0.75634765625}, {"start": 473.41, "end": 474.63, "word": " اللي", "probability": 0.5201416015625}, {"start": 474.63, "end": 475.05, "word": " هو", "probability": 0.9658203125}, {"start": 475.05, "end": 475.73, "word": " ال", "probability": 0.4423828125}, {"start": 475.73, "end": 475.85, "word": " ..", "probability": 0.217529296875}, {"start": 475.85, "end": 476.05, "word": " ده", "probability": 0.911376953125}, {"start": 476.05, "end": 476.13, "word": " اللي", "probability": 0.939697265625}, {"start": 476.13, "end": 476.43, "word": " هذي", "probability": 0.469482421875}, {"start": 476.43, "end": 476.57, "word": " is", "probability": 0.31982421875}, {"start": 476.57, "end": 477.01, "word": " differential", "probability": 0.669921875}, {"start": 477.01, "end": 477.51, "word": " لان", "probability": 0.26922607421875}, {"start": 477.51, "end": 478.43, "word": " بقوللي", "probability": 0.88037109375}, {"start": 478.43, "end": 479.17, "word": " انه", "probability": 0.735107421875}, {"start": 479.17, "end": 479.47, "word": " ابن", "probability": 0.7099609375}, {"start": 479.47, "end": 480.07, "word": " الدعي", "probability": 0.7711588541666666}, {"start": 480.07, "end": 480.51, "word": " ويمكن", "probability": 0.7097981770833334}, {"start": 480.51, "end": 480.65, "word": " لو", "probability": 0.93994140625}, {"start": 480.65, "end": 480.99, "word": " حد", "probability": 0.765869140625}, {"start": 480.99, "end": 481.99, "word": " شاف", "probability": 0.95849609375}, {"start": 481.99, "end": 482.23, "word": " قبل", "probability": 0.933349609375}, {"start": 482.23, "end": 482.55, "word": " بشوية", "probability": 0.84130859375}, {"start": 482.55, "end": 482.67, "word": " ما", "probability": 0.56591796875}, {"start": 482.67, "end": 483.09, "word": " وصلنا", "probability": 0.9720052083333334}, {"start": 483.09, "end": 483.23, "word": " ل", "probability": 0.79296875}, {"start": 483.23, "end": 483.87, "word": " E2", "probability": 0.767333984375}, {"start": 483.87, "end": 484.69, "word": " E2", "probability": 0.8828125}, {"start": 484.69, "end": 485.07, "word": " كانت", "probability": 0.945556640625}, {"start": 485.07, "end": 485.41, "word": " عبارة", "probability": 0.993896484375}, {"start": 485.41, "end": 485.57, "word": " عن", "probability": 0.97900390625}, {"start": 485.57, "end": 485.95, "word": " واحد", "probability": 0.826904296875}, {"start": 485.95, "end": 486.19, "word": " زي", "probability": 0.8076171875}, {"start": 486.19, "end": 487.59, "word": " دكستر", "probability": 0.69317626953125}, {"start": 487.59, "end": 487.73, "word": " بيه", "probability": 0.7488606770833334}, {"start": 487.73, "end": 487.91, "word": " على", "probability": 0.7900390625}, {"start": 487.91, "end": 488.45, "word": " اتنين", "probability": 0.8897705078125}, {"start": 488.45, "end": 489.13, "word": " اللي", "probability": 0.96435546875}, {"start": 489.13, "end": 489.37, "word": " هو", "probability": 0.90478515625}, {"start": 489.37, "end": 489.55, "word": " اللي", "probability": 0.7242431640625}, {"start": 489.55, "end": 489.69, "word": " هي", "probability": 0.77587890625}, {"start": 489.69, "end": 489.95, "word": " اتنين", "probability": 0.9208984375}, {"start": 489.95, "end": 490.43, "word": " factorial", "probability": 0.6591796875}], "temperature": 1.0}, {"id": 23, "seek": 51601, "start": 490.79, "end": 516.01, "text": "لو كملنا هيكون E N of X بتساوي 1 زياد X على 1 factorial X تربيه على 2 factorial زياد X وصف N على 100 على N factorial لكل X element in R هذه الـ N صحيحة اللي هي لكل N element in R اللي هو طبعا اثباتها سهل نثبتها by induction خلينا نشوف كيفنا نثبت أربعة by induction", "tokens": [1211, 2407, 9122, 42213, 8315, 8032, 1829, 30544, 462, 426, 295, 1783, 39894, 3794, 995, 45865, 502, 30767, 1829, 18513, 1783, 15844, 502, 36916, 1783, 6055, 2288, 21292, 3224, 15844, 568, 36916, 30767, 1829, 18513, 1783, 4032, 9381, 5172, 426, 15844, 2319, 15844, 426, 36916, 5296, 28820, 1783, 4478, 294, 497, 29538, 2423, 39184, 426, 20328, 5016, 1829, 5016, 3660, 13672, 1829, 39896, 5296, 28820, 426, 4478, 294, 497, 13672, 1829, 31439, 23032, 3555, 3615, 995, 1975, 12984, 3555, 9307, 11296, 8608, 3224, 1211, 8717, 12984, 3555, 2655, 11296, 538, 33371, 16490, 1211, 9957, 995, 8717, 8592, 38688, 9122, 33911, 8315, 8717, 12984, 3555, 2655, 5551, 25513, 27884, 538, 33371], "avg_logprob": -0.25253379398638065, "compression_ratio": 1.6754385964912282, "no_speech_prob": 1.2516975402832031e-06, "words": [{"start": 490.79, "end": 491.33, "word": "لو", "probability": 0.80078125}, {"start": 491.33, "end": 492.33, "word": " كملنا", "probability": 0.8689778645833334}, {"start": 492.33, "end": 492.79, "word": " هيكون", "probability": 0.62158203125}, {"start": 492.79, "end": 492.95, "word": " E", "probability": 0.478271484375}, {"start": 492.95, "end": 493.07, "word": " N", "probability": 0.046630859375}, {"start": 493.07, "end": 493.25, "word": " of", "probability": 0.405029296875}, {"start": 493.25, "end": 493.53, "word": " X", "probability": 0.9677734375}, {"start": 493.53, "end": 494.21, "word": " بتساوي", "probability": 0.81201171875}, {"start": 494.21, "end": 494.59, "word": " 1", "probability": 0.49560546875}, {"start": 494.59, "end": 494.95, "word": " زياد", "probability": 0.5652669270833334}, {"start": 494.95, "end": 495.11, "word": " X", "probability": 0.94921875}, {"start": 495.11, "end": 495.29, "word": " على", "probability": 0.6357421875}, {"start": 495.29, "end": 495.49, "word": " 1", "probability": 0.859375}, {"start": 495.49, "end": 495.93, "word": " factorial", "probability": 0.348388671875}, {"start": 495.93, "end": 496.15, "word": " X", "probability": 0.78076171875}, {"start": 496.15, "end": 496.47, "word": " تربيه", "probability": 0.739013671875}, {"start": 496.47, "end": 496.63, "word": " على", "probability": 0.83935546875}, {"start": 496.63, "end": 496.91, "word": " 2", "probability": 0.97119140625}, {"start": 496.91, "end": 497.55, "word": " factorial", "probability": 0.779296875}, {"start": 497.55, "end": 498.39, "word": " زياد", "probability": 0.8095703125}, {"start": 498.39, "end": 498.57, "word": " X", "probability": 0.958984375}, {"start": 498.57, "end": 498.81, "word": " وصف", "probability": 0.2931722005208333}, {"start": 498.81, "end": 498.93, "word": " N", "probability": 0.80419921875}, {"start": 498.93, "end": 499.13, "word": " على", "probability": 0.5048828125}, {"start": 499.13, "end": 499.37, "word": " 100", "probability": 0.673828125}, {"start": 499.37, "end": 499.79, "word": " على", "probability": 0.57080078125}, {"start": 499.79, "end": 500.07, "word": " N", "probability": 0.94189453125}, {"start": 500.07, "end": 500.63, "word": " factorial", "probability": 0.791015625}, {"start": 500.63, "end": 501.17, "word": " لكل", "probability": 0.963623046875}, {"start": 501.17, "end": 501.39, "word": " X", "probability": 0.96875}, {"start": 501.39, "end": 501.65, "word": " element", "probability": 0.84765625}, {"start": 501.65, "end": 501.89, "word": " in", "probability": 0.876953125}, {"start": 501.89, "end": 502.09, "word": " R", "probability": 0.9970703125}, {"start": 502.09, "end": 502.85, "word": " هذه", "probability": 0.5751953125}, {"start": 502.85, "end": 503.11, "word": " الـ", "probability": 0.642822265625}, {"start": 503.11, "end": 503.21, "word": " N", "probability": 0.76513671875}, {"start": 503.21, "end": 504.33, "word": " صحيحة", "probability": 0.98857421875}, {"start": 504.33, "end": 504.87, "word": " اللي", "probability": 0.86962890625}, {"start": 504.87, "end": 505.07, "word": " هي", "probability": 0.93310546875}, {"start": 505.07, "end": 505.51, "word": " لكل", "probability": 0.985107421875}, {"start": 505.51, "end": 505.75, "word": " N", "probability": 0.9560546875}, {"start": 505.75, "end": 506.07, "word": " element", "probability": 0.93994140625}, {"start": 506.07, "end": 506.37, "word": " in", "probability": 0.8515625}, {"start": 506.37, "end": 506.59, "word": " R", "probability": 0.66455078125}, {"start": 506.59, "end": 507.35, "word": " اللي", "probability": 0.9375}, {"start": 507.35, "end": 507.61, "word": " هو", "probability": 0.9755859375}, {"start": 507.61, "end": 508.11, "word": " طبعا", "probability": 0.94677734375}, {"start": 508.11, "end": 509.75, "word": " اثباتها", "probability": 0.8669921875}, {"start": 509.75, "end": 510.23, "word": " سهل", "probability": 0.9973958333333334}, {"start": 510.23, "end": 511.21, "word": " نثبتها", "probability": 0.9712890625}, {"start": 511.21, "end": 511.47, "word": " by", "probability": 0.85986328125}, {"start": 511.47, "end": 512.03, "word": " induction", "probability": 0.97705078125}, {"start": 512.03, "end": 512.55, "word": " خلينا", "probability": 0.7388916015625}, {"start": 512.55, "end": 512.93, "word": " نشوف", "probability": 0.9905598958333334}, {"start": 512.93, "end": 513.25, "word": " كيفنا", "probability": 0.8341471354166666}, {"start": 513.25, "end": 514.47, "word": " نثبت", "probability": 0.99267578125}, {"start": 514.47, "end": 514.99, "word": " أربعة", "probability": 0.766357421875}, {"start": 514.99, "end": 515.43, "word": " by", "probability": 0.8486328125}, {"start": 515.43, "end": 516.01, "word": " induction", "probability": 0.962890625}], "temperature": 1.0}, {"id": 24, "seek": 54690, "start": 538.38, "end": 546.9, "text": "أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة أ", "tokens": [10721, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 27884, 5551, 25513, 3615, 3660, 5551, 25513, 3615, 3660, 5551, 25513, 3615, 3660, 5551, 25513, 3615, 3660, 5551, 25513, 3615, 3660, 5551, 25513, 3615, 3660, 5551, 25513, 3615, 3660, 5551], "avg_logprob": -0.1373611174689399, "compression_ratio": 28.357142857142858, "no_speech_prob": 2.7418136596679688e-06, "words": [{"start": 538.38, "end": 538.78, "word": "أربعة", "probability": 0.6284586588541666}, {"start": 538.78, "end": 538.94, "word": " أربعة", "probability": 0.5157470703125}, {"start": 538.94, "end": 539.58, "word": " أربعة", "probability": 0.7218831380208334}, {"start": 539.58, "end": 539.74, "word": " أربعة", "probability": 0.78173828125}, {"start": 539.74, "end": 540.5, "word": " أربعة", "probability": 0.8424479166666666}, {"start": 540.5, "end": 540.66, "word": " أربعة", "probability": 0.87548828125}, {"start": 540.66, "end": 540.78, "word": " أربعة", "probability": 0.8878580729166666}, {"start": 540.78, "end": 541.02, "word": " أربعة", "probability": 0.8937174479166666}, {"start": 541.02, "end": 544.64, "word": " أربعة", "probability": 0.89599609375}, {"start": 544.64, "end": 545.56, "word": " أربعة", "probability": 0.8971354166666666}, {"start": 545.56, "end": 546.24, "word": " أربعة", "probability": 0.89990234375}, {"start": 546.24, "end": 546.46, "word": " أربعة", "probability": 0.9034830729166666}, {"start": 546.46, "end": 546.46, "word": " أربعة", "probability": 0.9044596354166666}, {"start": 546.46, "end": 546.52, "word": " أربعة", "probability": 0.9059244791666666}, {"start": 546.52, "end": 546.52, "word": " أربعة", "probability": 0.90673828125}, {"start": 546.52, "end": 546.52, "word": " أربعة", "probability": 0.90478515625}, {"start": 546.52, "end": 546.54, "word": " أربعة", "probability": 0.90771484375}, {"start": 546.54, "end": 546.72, "word": " أربعة", "probability": 0.90771484375}, {"start": 546.72, "end": 546.72, "word": " أربعة", "probability": 0.9046223958333334}, {"start": 546.72, "end": 546.72, "word": " أربعة", "probability": 0.90625}, {"start": 546.72, "end": 546.72, "word": " أربعة", "probability": 0.9072265625}, {"start": 546.72, "end": 546.72, "word": " أربعة", "probability": 0.908203125}, {"start": 546.72, "end": 546.72, "word": " أربعة", "probability": 0.90771484375}, {"start": 546.72, "end": 546.72, "word": " أربعة", "probability": 0.908203125}, {"start": 546.72, "end": 546.72, "word": " أربعة", "probability": 0.9091796875}, {"start": 546.72, "end": 546.9, "word": " أربعة", "probability": 0.908203125}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.9088541666666666}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.9093424479166666}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.91015625}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.9112955729166666}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.9109700520833334}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.9132486979166666}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.9134114583333334}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.9148763020833334}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.9169921875}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.9178059895833334}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.9186197916666666}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.9197591145833334}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.91943359375}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.91943359375}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.9212239583333334}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.92236328125}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.9222005208333334}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.9230143229166666}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.9226888020833334}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.9195963541666666}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.9200846354166666}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.9202473958333334}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.9153645833333334}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.9189453125}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.9129231770833334}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.9130859375}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.9137369791666666}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.9055989583333334}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.9065755208333334}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.9041341145833334}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.9020182291666666}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.8981119791666666}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.8977864583333334}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.8922526041666666}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.8956705729166666}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.89453125}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.8836263020833334}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.8875325520833334}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.8714192708333334}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.7467041015625}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.8092041015625}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.876708984375}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.908203125}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.9296875}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.9410400390625}, {"start": 546.9, "end": 546.9, "word": " أربعة", "probability": 0.943603515625}, {"start": 546.9, "end": 546.9, "word": " أ", "probability": 0.982421875}], "temperature": 1.0}, {"id": 25, "seek": 55497, "start": 546.95, "end": 554.97, "text": "four is a true four and بتساوي كتابة يعني صار عند الال", "tokens": [23251, 307, 257, 2074, 1451, 293, 39894, 3794, 995, 45865, 9122, 2655, 16758, 3660, 37495, 22653, 20328, 9640, 43242, 2423, 6027], "avg_logprob": -0.47904831712896173, "compression_ratio": 1.025974025974026, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 546.95, "end": 547.59, "word": "four", "probability": 0.32958984375}, {"start": 547.59, "end": 548.61, "word": " is", "probability": 0.85888671875}, {"start": 548.61, "end": 549.09, "word": " a", "probability": 0.6640625}, {"start": 549.09, "end": 549.65, "word": " true", "probability": 0.95556640625}, {"start": 549.65, "end": 551.19, "word": " four", "probability": 0.2724609375}, {"start": 551.19, "end": 551.97, "word": " and", "probability": 0.4775390625}, {"start": 551.97, "end": 552.73, "word": " بتساوي", "probability": 0.817138671875}, {"start": 552.73, "end": 553.23, "word": " كتابة", "probability": 0.5321044921875}, {"start": 553.23, "end": 553.83, "word": " يعني", "probability": 0.861572265625}, {"start": 553.83, "end": 554.11, "word": " صار", "probability": 0.86328125}, {"start": 554.11, "end": 554.39, "word": " عند", "probability": 0.9248046875}, {"start": 554.39, "end": 554.97, "word": " الال", "probability": 0.4176025390625}], "temperature": 1.0}, {"id": 26, "seek": 57977, "start": 555.95, "end": 579.77, "text": "الـ E K of X بتساوي 1 زائد X على 1 factorial زائد X تربيع على 2 factorial زائد X أُس K على K factorial هذا لما نفرض إن اللي هي .. اللي هي الأربعة is true for N بتساوي K بدنا نثبت إن E K زائد 1 هتطلع اللي هي هذه", "tokens": [6027, 39184, 462, 591, 295, 1783, 4724, 2655, 3794, 995, 45865, 502, 30767, 16373, 3215, 1783, 15844, 502, 36916, 30767, 16373, 3215, 1783, 6055, 2288, 21292, 3615, 15844, 568, 36916, 30767, 16373, 3215, 1783, 5551, 10859, 3794, 591, 15844, 591, 36916, 23758, 5296, 15042, 8717, 5172, 43042, 36145, 13672, 1829, 39896, 4386, 13672, 1829, 39896, 16247, 25513, 27884, 307, 2074, 337, 426, 39894, 3794, 995, 45865, 591, 47525, 8315, 8717, 12984, 3555, 2655, 36145, 462, 591, 30767, 16373, 3215, 502, 8032, 2655, 9566, 1211, 3615, 13672, 1829, 39896, 29538], "avg_logprob": -0.2345486104488373, "compression_ratio": 1.6827956989247312, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 555.95, "end": 556.45, "word": "الـ", "probability": 0.7255859375}, {"start": 556.45, "end": 556.71, "word": " E", "probability": 0.483154296875}, {"start": 556.71, "end": 557.09, "word": " K", "probability": 0.2305908203125}, {"start": 557.09, "end": 557.41, "word": " of", "probability": 0.4189453125}, {"start": 557.41, "end": 557.95, "word": " X", "probability": 0.978515625}, {"start": 557.95, "end": 559.09, "word": " بتساوي", "probability": 0.62958984375}, {"start": 559.09, "end": 559.51, "word": " 1", "probability": 0.495849609375}, {"start": 559.51, "end": 560.35, "word": " زائد", "probability": 0.6283365885416666}, {"start": 560.35, "end": 560.75, "word": " X", "probability": 0.98486328125}, {"start": 560.75, "end": 561.55, "word": " على", "probability": 0.66259765625}, {"start": 561.55, "end": 562.07, "word": " 1", "probability": 0.9541015625}, {"start": 562.07, "end": 562.87, "word": " factorial", "probability": 0.275390625}, {"start": 562.87, "end": 563.35, "word": " زائد", "probability": 0.8787434895833334}, {"start": 563.35, "end": 563.55, "word": " X", "probability": 0.98486328125}, {"start": 563.55, "end": 564.17, "word": " تربيع", "probability": 0.8514404296875}, {"start": 564.17, "end": 564.41, "word": " على", "probability": 0.78173828125}, {"start": 564.41, "end": 564.69, "word": " 2", "probability": 0.9833984375}, {"start": 564.69, "end": 565.35, "word": " factorial", "probability": 0.8271484375}, {"start": 565.35, "end": 566.31, "word": " زائد", "probability": 0.974609375}, {"start": 566.31, "end": 566.69, "word": " X", "probability": 0.978515625}, {"start": 566.69, "end": 567.05, "word": " أُس", "probability": 0.7423502604166666}, {"start": 567.05, "end": 567.49, "word": " K", "probability": 0.97265625}, {"start": 567.49, "end": 567.85, "word": " على", "probability": 0.7275390625}, {"start": 567.85, "end": 568.37, "word": " K", "probability": 0.97802734375}, {"start": 568.37, "end": 569.17, "word": " factorial", "probability": 0.681640625}, {"start": 569.17, "end": 569.83, "word": " هذا", "probability": 0.7568359375}, {"start": 569.83, "end": 570.05, "word": " لما", "probability": 0.937744140625}, {"start": 570.05, "end": 570.47, "word": " نفرض", "probability": 0.986328125}, {"start": 570.47, "end": 570.75, "word": " إن", "probability": 0.39697265625}, {"start": 570.75, "end": 571.13, "word": " اللي", "probability": 0.8330078125}, {"start": 571.13, "end": 571.49, "word": " هي", "probability": 0.88037109375}, {"start": 571.49, "end": 571.67, "word": " ..", "probability": 0.16162109375}, {"start": 571.67, "end": 572.33, "word": " اللي", "probability": 0.9697265625}, {"start": 572.33, "end": 572.65, "word": " هي", "probability": 0.9375}, {"start": 572.65, "end": 573.41, "word": " الأربعة", "probability": 0.8938802083333334}, {"start": 573.41, "end": 573.61, "word": " is", "probability": 0.6396484375}, {"start": 573.61, "end": 573.89, "word": " true", "probability": 0.9599609375}, {"start": 573.89, "end": 574.21, "word": " for", "probability": 0.8349609375}, {"start": 574.21, "end": 574.45, "word": " N", "probability": 0.331787109375}, {"start": 574.45, "end": 575.03, "word": " بتساوي", "probability": 0.9725341796875}, {"start": 575.03, "end": 575.21, "word": " K", "probability": 0.94677734375}, {"start": 575.21, "end": 576.03, "word": " بدنا", "probability": 0.919921875}, {"start": 576.03, "end": 576.65, "word": " نثبت", "probability": 0.9949951171875}, {"start": 576.65, "end": 576.95, "word": " إن", "probability": 0.6845703125}, {"start": 576.95, "end": 577.23, "word": " E", "probability": 0.564453125}, {"start": 577.23, "end": 577.51, "word": " K", "probability": 0.90478515625}, {"start": 577.51, "end": 577.89, "word": " زائد", "probability": 0.94775390625}, {"start": 577.89, "end": 578.11, "word": " 1", "probability": 0.9716796875}, {"start": 578.11, "end": 578.89, "word": " هتطلع", "probability": 0.9693359375}, {"start": 578.89, "end": 579.15, "word": " اللي", "probability": 0.978271484375}, {"start": 579.15, "end": 579.43, "word": " هي", "probability": 0.88623046875}, {"start": 579.43, "end": 579.77, "word": " هذه", "probability": 0.72900390625}], "temperature": 1.0}, {"id": 27, "seek": 61021, "start": 580.43, "end": 610.21, "text": "زائد x أس k على k زائد واحد فيكتوريا اللي على ال net بتطلع أربعة صحيحة for k زائد واحد ده نحسب خلّينا نحسب الآن E k زائد واحد of x حسب اللي احنا مفترضينه أو معرفين ال sequence على أساسه E k زائد واحد of x أيش بتساوي واحد زائد ال integration من صفر ل X E k of T DT", "tokens": [11622, 16373, 3215, 2031, 5551, 3794, 350, 15844, 350, 30767, 16373, 3215, 36764, 24401, 8978, 4117, 2655, 13063, 25528, 13672, 1829, 15844, 2423, 2533, 39894, 9566, 1211, 3615, 5551, 25513, 27884, 20328, 5016, 1829, 5016, 3660, 337, 350, 30767, 16373, 3215, 36764, 24401, 11778, 3224, 8717, 5016, 35457, 16490, 1211, 11703, 1829, 8315, 8717, 5016, 35457, 6024, 48506, 462, 350, 30767, 16373, 3215, 36764, 24401, 295, 2031, 11331, 35457, 13672, 1829, 1975, 5016, 8315, 3714, 5172, 2655, 43042, 9957, 3224, 34051, 20449, 28480, 9957, 2423, 8310, 15844, 5551, 3794, 32277, 3224, 462, 350, 30767, 16373, 3215, 36764, 24401, 295, 2031, 36632, 8592, 39894, 3794, 995, 45865, 36764, 24401, 30767, 16373, 3215, 2423, 10980, 9154, 20328, 5172, 2288, 5296, 1783, 462, 350, 295, 314, 413, 51], "avg_logprob": -0.23821924650479878, "compression_ratio": 1.817391304347826, "no_speech_prob": 0.806640625, "words": [{"start": 580.43, "end": 581.25, "word": "زائد", "probability": 0.634765625}, {"start": 581.25, "end": 581.73, "word": " x", "probability": 0.470703125}, {"start": 581.73, "end": 581.97, "word": " أس", "probability": 0.26373291015625}, {"start": 581.97, "end": 582.17, "word": " k", "probability": 0.55615234375}, {"start": 582.17, "end": 582.37, "word": " على", "probability": 0.408935546875}, {"start": 582.37, "end": 582.57, "word": " k", "probability": 0.86279296875}, {"start": 582.57, "end": 582.87, "word": " زائد", "probability": 0.9646809895833334}, {"start": 582.87, "end": 583.21, "word": " واحد", "probability": 0.923828125}, {"start": 583.21, "end": 583.71, "word": " فيكتوريا", "probability": 0.6623291015625}, {"start": 583.71, "end": 583.87, "word": " اللي", "probability": 0.73486328125}, {"start": 583.87, "end": 584.01, "word": " على", "probability": 0.65771484375}, {"start": 584.01, "end": 584.21, "word": " ال", "probability": 0.69482421875}, {"start": 584.21, "end": 584.21, "word": " net", "probability": 0.176025390625}, {"start": 584.21, "end": 584.51, "word": " بتطلع", "probability": 0.6080322265625}, {"start": 584.51, "end": 584.77, "word": " أربعة", "probability": 0.7373046875}, {"start": 584.77, "end": 585.45, "word": " صحيحة", "probability": 0.9873046875}, {"start": 585.45, "end": 585.95, "word": " for", "probability": 0.82177734375}, {"start": 585.95, "end": 586.53, "word": " k", "probability": 0.8681640625}, {"start": 586.53, "end": 587.63, "word": " زائد", "probability": 0.9606119791666666}, {"start": 587.63, "end": 588.19, "word": " واحد", "probability": 0.982177734375}, {"start": 588.19, "end": 588.79, "word": " ده", "probability": 0.7186279296875}, {"start": 588.79, "end": 589.31, "word": " نحسب", "probability": 0.9853515625}, {"start": 589.31, "end": 590.17, "word": " خلّينا", "probability": 0.78779296875}, {"start": 590.17, "end": 590.61, "word": " نحسب", "probability": 0.9939778645833334}, {"start": 590.61, "end": 590.95, "word": " الآن", "probability": 0.6842041015625}, {"start": 590.95, "end": 591.49, "word": " E", "probability": 0.450439453125}, {"start": 591.49, "end": 592.65, "word": " k", "probability": 0.3251953125}, {"start": 592.65, "end": 593.53, "word": " زائد", "probability": 0.9671223958333334}, {"start": 593.53, "end": 594.03, "word": " واحد", "probability": 0.9892578125}, {"start": 594.03, "end": 594.23, "word": " of", "probability": 0.9599609375}, {"start": 594.23, "end": 594.59, "word": " x", "probability": 0.728515625}, {"start": 594.59, "end": 595.67, "word": " حسب", "probability": 0.965087890625}, {"start": 595.67, "end": 596.07, "word": " اللي", "probability": 0.96337890625}, {"start": 596.07, "end": 596.53, "word": " احنا", "probability": 0.8829752604166666}, {"start": 596.53, "end": 597.77, "word": " مفترضينه", "probability": 0.9896647135416666}, {"start": 597.77, "end": 598.17, "word": " أو", "probability": 0.60107421875}, {"start": 598.17, "end": 598.81, "word": " معرفين", "probability": 0.9422200520833334}, {"start": 598.81, "end": 598.99, "word": " ال", "probability": 0.94482421875}, {"start": 598.99, "end": 599.39, "word": " sequence", "probability": 0.96875}, {"start": 599.39, "end": 599.81, "word": " على", "probability": 0.91015625}, {"start": 599.81, "end": 600.57, "word": " أساسه", "probability": 0.95703125}, {"start": 600.57, "end": 601.15, "word": " E", "probability": 0.8671875}, {"start": 601.15, "end": 601.37, "word": " k", "probability": 0.83740234375}, {"start": 601.37, "end": 601.59, "word": " زائد", "probability": 0.9580078125}, {"start": 601.59, "end": 601.81, "word": " واحد", "probability": 0.9931640625}, {"start": 601.81, "end": 601.93, "word": " of", "probability": 0.97265625}, {"start": 601.93, "end": 602.11, "word": " x", "probability": 0.91064453125}, {"start": 602.11, "end": 602.27, "word": " أيش", "probability": 0.6541748046875}, {"start": 602.27, "end": 602.83, "word": " بتساوي", "probability": 0.8841552734375}, {"start": 602.83, "end": 603.43, "word": " واحد", "probability": 0.86328125}, {"start": 603.43, "end": 604.09, "word": " زائد", "probability": 0.9757486979166666}, {"start": 604.09, "end": 604.21, "word": " ال", "probability": 0.94140625}, {"start": 604.21, "end": 604.83, "word": " integration", "probability": 0.9775390625}, {"start": 604.83, "end": 605.17, "word": " من", "probability": 0.98828125}, {"start": 605.17, "end": 605.49, "word": " صفر", "probability": 0.787109375}, {"start": 605.49, "end": 605.63, "word": " ل", "probability": 0.8603515625}, {"start": 605.63, "end": 606.05, "word": " X", "probability": 0.47607421875}, {"start": 606.05, "end": 606.95, "word": " E", "probability": 0.9375}, {"start": 606.95, "end": 607.71, "word": " k", "probability": 0.8427734375}, {"start": 607.71, "end": 608.17, "word": " of", "probability": 0.97509765625}, {"start": 608.17, "end": 608.77, "word": " T", "probability": 0.478271484375}, {"start": 608.77, "end": 610.21, "word": " DT", "probability": 0.566650390625}], "temperature": 1.0}, {"id": 28, "seek": 63887, "start": 610.45, "end": 638.87, "text": "مظبوط؟ طيب الان بدي اعوض عن E K of T احنا مفترضينها صحيحة ل K اذا E K of X هيها اذا باجي بعوض بيصير Y ساوي واحد زائد ال integration من صفر ل X E K of T اللي هي واحد زائد T زائد T تربيع طبعا واحد فيكتوريال اللي هي واحد على اتنين فيكتوريال زائد لما أصل X أو T أس K", "tokens": [2304, 19913, 3555, 2407, 9566, 22807, 23032, 1829, 3555, 2423, 7649, 4724, 16254, 1975, 3615, 2407, 11242, 18871, 462, 591, 295, 314, 1975, 5016, 8315, 3714, 5172, 2655, 43042, 9957, 11296, 20328, 5016, 1829, 5016, 3660, 5296, 591, 1975, 15730, 462, 591, 295, 1783, 39896, 11296, 1975, 15730, 4724, 26108, 1829, 45030, 2407, 11242, 4724, 1829, 9381, 13546, 398, 8608, 995, 45865, 36764, 24401, 30767, 16373, 3215, 2423, 10980, 9154, 20328, 5172, 2288, 5296, 1783, 462, 591, 295, 314, 13672, 1829, 39896, 36764, 24401, 30767, 16373, 3215, 314, 30767, 16373, 3215, 314, 6055, 2288, 21292, 3615, 23032, 3555, 3615, 995, 36764, 24401, 8978, 4117, 2655, 13063, 1829, 6027, 13672, 1829, 39896, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 8978, 4117, 2655, 13063, 1829, 6027, 30767, 16373, 3215, 5296, 15042, 5551, 36520, 1783, 34051, 314, 5551, 3794, 591], "avg_logprob": -0.22384511571431506, "compression_ratio": 1.8093220338983051, "no_speech_prob": 2.0265579223632812e-06, "words": [{"start": 610.45, "end": 611.57, "word": "مظبوط؟", "probability": 0.7728678385416666}, {"start": 611.57, "end": 611.91, "word": " طيب", "probability": 0.9256184895833334}, {"start": 611.91, "end": 613.19, "word": " الان", "probability": 0.630615234375}, {"start": 613.19, "end": 613.69, "word": " بدي", "probability": 0.62451171875}, {"start": 613.69, "end": 614.17, "word": " اعوض", "probability": 0.872802734375}, {"start": 614.17, "end": 614.41, "word": " عن", "probability": 0.85888671875}, {"start": 614.41, "end": 614.67, "word": " E", "probability": 0.388427734375}, {"start": 614.67, "end": 614.83, "word": " K", "probability": 0.386962890625}, {"start": 614.83, "end": 615.07, "word": " of", "probability": 0.712890625}, {"start": 615.07, "end": 615.37, "word": " T", "probability": 0.9404296875}, {"start": 615.37, "end": 615.95, "word": " احنا", "probability": 0.8875325520833334}, {"start": 615.95, "end": 616.91, "word": " مفترضينها", "probability": 0.7616780598958334}, {"start": 616.91, "end": 617.39, "word": " صحيحة", "probability": 0.951953125}, {"start": 617.39, "end": 617.51, "word": " ل", "probability": 0.71630859375}, {"start": 617.51, "end": 618.35, "word": " K", "probability": 0.299560546875}, {"start": 618.35, "end": 619.07, "word": " اذا", "probability": 0.7264404296875}, {"start": 619.07, "end": 619.41, "word": " E", "probability": 0.89453125}, {"start": 619.41, "end": 619.61, "word": " K", "probability": 0.85498046875}, {"start": 619.61, "end": 619.79, "word": " of", "probability": 0.9365234375}, {"start": 619.79, "end": 620.03, "word": " X", "probability": 0.99560546875}, {"start": 620.03, "end": 620.61, "word": " هيها", "probability": 0.958740234375}, {"start": 620.61, "end": 621.35, "word": " اذا", "probability": 0.853271484375}, {"start": 621.35, "end": 621.75, "word": " باجي", "probability": 0.6007486979166666}, {"start": 621.75, "end": 622.23, "word": " بعوض", "probability": 0.7545572916666666}, {"start": 622.23, "end": 622.61, "word": " بيصير", "probability": 0.7889404296875}, {"start": 622.61, "end": 622.81, "word": " Y", "probability": 0.880859375}, {"start": 622.81, "end": 623.27, "word": " ساوي", "probability": 0.6751302083333334}, {"start": 623.27, "end": 623.81, "word": " واحد", "probability": 0.823486328125}, {"start": 623.81, "end": 624.11, "word": " زائد", "probability": 0.79296875}, {"start": 624.11, "end": 624.23, "word": " ال", "probability": 0.94140625}, {"start": 624.23, "end": 624.83, "word": " integration", "probability": 0.90869140625}, {"start": 624.83, "end": 625.15, "word": " من", "probability": 0.97607421875}, {"start": 625.15, "end": 625.45, "word": " صفر", "probability": 0.8214518229166666}, {"start": 625.45, "end": 625.57, "word": " ل", "probability": 0.7998046875}, {"start": 625.57, "end": 625.93, "word": " X", "probability": 0.87939453125}, {"start": 625.93, "end": 626.63, "word": " E", "probability": 0.935546875}, {"start": 626.63, "end": 626.89, "word": " K", "probability": 0.9248046875}, {"start": 626.89, "end": 627.13, "word": " of", "probability": 0.94677734375}, {"start": 627.13, "end": 627.45, "word": " T", "probability": 0.990234375}, {"start": 627.45, "end": 627.69, "word": " اللي", "probability": 0.66845703125}, {"start": 627.69, "end": 627.85, "word": " هي", "probability": 0.94921875}, {"start": 627.85, "end": 628.45, "word": " واحد", "probability": 0.9677734375}, {"start": 628.45, "end": 629.25, "word": " زائد", "probability": 0.9599609375}, {"start": 629.25, "end": 629.65, "word": " T", "probability": 0.96337890625}, {"start": 629.65, "end": 630.49, "word": " زائد", "probability": 0.8992513020833334}, {"start": 630.49, "end": 630.73, "word": " T", "probability": 0.966796875}, {"start": 630.73, "end": 631.35, "word": " تربيع", "probability": 0.881103515625}, {"start": 631.35, "end": 631.65, "word": " طبعا", "probability": 0.915283203125}, {"start": 631.65, "end": 631.97, "word": " واحد", "probability": 0.7442626953125}, {"start": 631.97, "end": 632.49, "word": " فيكتوريال", "probability": 0.7447713216145834}, {"start": 632.49, "end": 632.59, "word": " اللي", "probability": 0.795166015625}, {"start": 632.59, "end": 632.71, "word": " هي", "probability": 0.93115234375}, {"start": 632.71, "end": 633.17, "word": " واحد", "probability": 0.9873046875}, {"start": 633.17, "end": 633.73, "word": " على", "probability": 0.455078125}, {"start": 633.73, "end": 634.01, "word": " اتنين", "probability": 0.9111328125}, {"start": 634.01, "end": 634.69, "word": " فيكتوريال", "probability": 0.9269205729166666}, {"start": 634.69, "end": 635.09, "word": " زائد", "probability": 0.9806315104166666}, {"start": 635.09, "end": 635.39, "word": " لما", "probability": 0.7403564453125}, {"start": 635.39, "end": 635.77, "word": " أصل", "probability": 0.7139892578125}, {"start": 635.77, "end": 636.33, "word": " X", "probability": 0.97802734375}, {"start": 636.33, "end": 637.15, "word": " أو", "probability": 0.6318359375}, {"start": 637.15, "end": 637.63, "word": " T", "probability": 0.97265625}, {"start": 637.63, "end": 638.47, "word": " أس", "probability": 0.634033203125}, {"start": 638.47, "end": 638.87, "word": " K", "probability": 0.97998046875}], "temperature": 1.0}, {"id": 29, "seek": 65708, "start": 639.42, "end": 657.08, "text": "على K فكتوريال الكل إشماله DT لأن اللي هي أكيد وضحت الصورة بدل الفاضل نطلع قيمة التفاصيل الكامل و نطلع قيمة التكامل و يساوي واحد هيوزايد ما هو جاعد زاد هذا ال integration اللي هو عبارة عن T", "tokens": [3615, 23942, 591, 6156, 4117, 2655, 13063, 1829, 6027, 2423, 28820, 11933, 8592, 2304, 6027, 3224, 413, 51, 5296, 33456, 13672, 1829, 39896, 5551, 4117, 25708, 4032, 11242, 33753, 31767, 13063, 3660, 47525, 1211, 27188, 46958, 1211, 8717, 9566, 1211, 3615, 12174, 32640, 3660, 16712, 5172, 33546, 26895, 33251, 10943, 1211, 4032, 8717, 9566, 1211, 3615, 12174, 32640, 3660, 16712, 4117, 10943, 1211, 4032, 7251, 3794, 995, 45865, 36764, 24401, 39896, 2407, 11622, 995, 25708, 19446, 31439, 10874, 995, 22488, 30767, 18513, 23758, 2423, 10980, 13672, 1829, 31439, 6225, 3555, 9640, 3660, 18871, 314], "avg_logprob": -0.258881572045778, "compression_ratio": 1.6804123711340206, "no_speech_prob": 2.5928020477294922e-05, "words": [{"start": 639.42, "end": 639.84, "word": "على", "probability": 0.75927734375}, {"start": 639.84, "end": 640.08, "word": " K", "probability": 0.303955078125}, {"start": 640.08, "end": 640.92, "word": " فكتوريال", "probability": 0.7156982421875}, {"start": 640.92, "end": 641.64, "word": " الكل", "probability": 0.6337890625}, {"start": 641.64, "end": 642.46, "word": " إشماله", "probability": 0.802392578125}, {"start": 642.46, "end": 643.82, "word": " DT", "probability": 0.4642333984375}, {"start": 643.82, "end": 645.18, "word": " لأن", "probability": 0.7783203125}, {"start": 645.18, "end": 645.46, "word": " اللي", "probability": 0.601318359375}, {"start": 645.46, "end": 645.78, "word": " هي", "probability": 0.83251953125}, {"start": 645.78, "end": 646.22, "word": " أكيد", "probability": 0.9236653645833334}, {"start": 646.22, "end": 646.52, "word": " وضحت", "probability": 0.7489420572916666}, {"start": 646.52, "end": 647.04, "word": " الصورة", "probability": 0.9833984375}, {"start": 647.04, "end": 647.28, "word": " بدل", "probability": 0.5076904296875}, {"start": 647.28, "end": 647.72, "word": " الفاضل", "probability": 0.56787109375}, {"start": 647.72, "end": 648.02, "word": " نطلع", "probability": 0.922607421875}, {"start": 648.02, "end": 648.38, "word": " قيمة", "probability": 0.89892578125}, {"start": 648.38, "end": 648.9, "word": " التفاصيل", "probability": 0.619415283203125}, {"start": 648.9, "end": 649.34, "word": " الكامل", "probability": 0.7262369791666666}, {"start": 649.34, "end": 649.42, "word": " و", "probability": 0.56640625}, {"start": 649.42, "end": 649.66, "word": " نطلع", "probability": 0.8863525390625}, {"start": 649.66, "end": 650.1, "word": " قيمة", "probability": 0.9431966145833334}, {"start": 650.1, "end": 650.8, "word": " التكامل", "probability": 0.98974609375}, {"start": 650.8, "end": 651.32, "word": " و", "probability": 0.78076171875}, {"start": 651.32, "end": 651.78, "word": " يساوي", "probability": 0.91259765625}, {"start": 651.78, "end": 652.14, "word": " واحد", "probability": 0.859130859375}, {"start": 652.14, "end": 652.8, "word": " هيوزايد", "probability": 0.70830078125}, {"start": 652.8, "end": 653.0, "word": " ما", "probability": 0.91455078125}, {"start": 653.0, "end": 653.2, "word": " هو", "probability": 0.97900390625}, {"start": 653.2, "end": 653.74, "word": " جاعد", "probability": 0.9122721354166666}, {"start": 653.74, "end": 654.36, "word": " زاد", "probability": 0.802490234375}, {"start": 654.36, "end": 654.96, "word": " هذا", "probability": 0.83056640625}, {"start": 654.96, "end": 655.06, "word": " ال", "probability": 0.97900390625}, {"start": 655.06, "end": 655.48, "word": " integration", "probability": 0.9501953125}, {"start": 655.48, "end": 655.78, "word": " اللي", "probability": 0.9775390625}, {"start": 655.78, "end": 656.0, "word": " هو", "probability": 0.9892578125}, {"start": 656.0, "end": 656.44, "word": " عبارة", "probability": 0.991455078125}, {"start": 656.44, "end": 656.7, "word": " عن", "probability": 0.99365234375}, {"start": 656.7, "end": 657.08, "word": " T", "probability": 0.90283203125}], "temperature": 1.0}, {"id": 30, "seek": 67946, "start": 658.9, "end": 679.46, "text": "زائد T تربيع على 2 في 1 يعني 2 factorial زائد T تكعيب على 3 في 2 factorial يعني 3 factorial زائد لما أصل لآخر 1 T أُس K زائد 1 على K زائد 1 في K factorial هي K زائد 1 لكل factorial هذا الكلام من 0 لمين؟", "tokens": [11622, 16373, 3215, 314, 6055, 2288, 21292, 3615, 15844, 568, 8978, 502, 37495, 22653, 568, 36916, 30767, 16373, 3215, 314, 6055, 4117, 3615, 1829, 3555, 15844, 805, 8978, 568, 36916, 37495, 22653, 805, 36916, 30767, 16373, 3215, 5296, 15042, 5551, 36520, 5296, 148, 95, 34740, 502, 314, 5551, 10859, 3794, 591, 30767, 16373, 3215, 502, 15844, 591, 30767, 16373, 3215, 502, 8978, 591, 36916, 39896, 591, 30767, 16373, 3215, 502, 5296, 28820, 36916, 23758, 2423, 28820, 10943, 9154, 1958, 32767, 9957, 22807], "avg_logprob": -0.15841491681983672, "compression_ratio": 1.7865853658536586, "no_speech_prob": 1.1742115020751953e-05, "words": [{"start": 658.9, "end": 659.56, "word": "زائد", "probability": 0.6358235677083334}, {"start": 659.56, "end": 659.78, "word": " T", "probability": 0.5458984375}, {"start": 659.78, "end": 660.52, "word": " تربيع", "probability": 0.8927001953125}, {"start": 660.52, "end": 660.8, "word": " على", "probability": 0.7412109375}, {"start": 660.8, "end": 661.12, "word": " 2", "probability": 0.82568359375}, {"start": 661.12, "end": 661.3, "word": " في", "probability": 0.60498046875}, {"start": 661.3, "end": 661.5, "word": " 1", "probability": 0.8798828125}, {"start": 661.5, "end": 661.82, "word": " يعني", "probability": 0.9306640625}, {"start": 661.82, "end": 662.08, "word": " 2", "probability": 0.95166015625}, {"start": 662.08, "end": 662.62, "word": " factorial", "probability": 0.42822265625}, {"start": 662.62, "end": 663.64, "word": " زائد", "probability": 0.9521484375}, {"start": 663.64, "end": 663.92, "word": " T", "probability": 0.96923828125}, {"start": 663.92, "end": 664.9, "word": " تكعيب", "probability": 0.98115234375}, {"start": 664.9, "end": 665.6, "word": " على", "probability": 0.90380859375}, {"start": 665.6, "end": 665.98, "word": " 3", "probability": 0.9541015625}, {"start": 665.98, "end": 666.14, "word": " في", "probability": 0.86181640625}, {"start": 666.14, "end": 666.36, "word": " 2", "probability": 0.98779296875}, {"start": 666.36, "end": 666.82, "word": " factorial", "probability": 0.8857421875}, {"start": 666.82, "end": 666.98, "word": " يعني", "probability": 0.847412109375}, {"start": 666.98, "end": 667.24, "word": " 3", "probability": 0.93798828125}, {"start": 667.24, "end": 667.92, "word": " factorial", "probability": 0.78662109375}, {"start": 667.92, "end": 668.7, "word": " زائد", "probability": 0.98095703125}, {"start": 668.7, "end": 668.92, "word": " لما", "probability": 0.880126953125}, {"start": 668.92, "end": 669.3, "word": " أصل", "probability": 0.90234375}, {"start": 669.3, "end": 669.88, "word": " لآخر", "probability": 0.9090576171875}, {"start": 669.88, "end": 670.24, "word": " 1", "probability": 0.51318359375}, {"start": 670.24, "end": 670.92, "word": " T", "probability": 0.6123046875}, {"start": 670.92, "end": 671.56, "word": " أُس", "probability": 0.661376953125}, {"start": 671.56, "end": 671.7, "word": " K", "probability": 0.65283203125}, {"start": 671.7, "end": 672.1, "word": " زائد", "probability": 0.9685872395833334}, {"start": 672.1, "end": 672.46, "word": " 1", "probability": 0.96875}, {"start": 672.46, "end": 672.76, "word": " على", "probability": 0.7998046875}, {"start": 672.76, "end": 672.98, "word": " K", "probability": 0.8359375}, {"start": 672.98, "end": 673.24, "word": " زائد", "probability": 0.9773763020833334}, {"start": 673.24, "end": 673.48, "word": " 1", "probability": 0.98388671875}, {"start": 673.48, "end": 673.66, "word": " في", "probability": 0.96337890625}, {"start": 673.66, "end": 674.0, "word": " K", "probability": 0.9208984375}, {"start": 674.0, "end": 674.78, "word": " factorial", "probability": 0.806640625}, {"start": 674.78, "end": 674.98, "word": " هي", "probability": 0.78564453125}, {"start": 674.98, "end": 675.3, "word": " K", "probability": 0.90087890625}, {"start": 675.3, "end": 675.64, "word": " زائد", "probability": 0.9796549479166666}, {"start": 675.64, "end": 676.04, "word": " 1", "probability": 0.9765625}, {"start": 676.04, "end": 676.5, "word": " لكل", "probability": 0.759033203125}, {"start": 676.5, "end": 677.2, "word": " factorial", "probability": 0.89013671875}, {"start": 677.2, "end": 677.74, "word": " هذا", "probability": 0.78955078125}, {"start": 677.74, "end": 678.14, "word": " الكلام", "probability": 0.9855143229166666}, {"start": 678.14, "end": 678.3, "word": " من", "probability": 0.99169921875}, {"start": 678.3, "end": 678.52, "word": " 0", "probability": 0.67333984375}, {"start": 678.52, "end": 679.46, "word": " لمين؟", "probability": 0.714599609375}], "temperature": 1.0}, {"id": 31, "seek": 69627, "start": 679.67, "end": 696.27, "text": "لعند X واضحة الصورة ويساوي عبارة عن لما اعوض من 0 ل X بيصير 1 زائد X زائد X تربيع على 2 factorial لما أصل لأخر واحد X K زائد 1 على K زائد 1", "tokens": [1211, 3615, 41260, 1783, 4032, 46958, 5016, 3660, 31767, 13063, 3660, 4032, 1829, 3794, 995, 45865, 6225, 3555, 9640, 3660, 18871, 5296, 15042, 1975, 3615, 2407, 11242, 9154, 1958, 5296, 1783, 4724, 1829, 9381, 13546, 502, 30767, 16373, 3215, 1783, 30767, 16373, 3215, 1783, 6055, 2288, 21292, 3615, 15844, 568, 36916, 5296, 15042, 5551, 36520, 5296, 10721, 34740, 36764, 24401, 1783, 591, 30767, 16373, 3215, 502, 15844, 591, 30767, 16373, 3215, 502], "avg_logprob": -0.2542808219178082, "compression_ratio": 1.5067567567567568, "no_speech_prob": 5.930662155151367e-05, "words": [{"start": 679.67, "end": 680.53, "word": "لعند", "probability": 0.593017578125}, {"start": 680.53, "end": 681.17, "word": " X", "probability": 0.468994140625}, {"start": 681.17, "end": 682.23, "word": " واضحة", "probability": 0.7957763671875}, {"start": 682.23, "end": 682.87, "word": " الصورة", "probability": 0.9847005208333334}, {"start": 682.87, "end": 683.47, "word": " ويساوي", "probability": 0.74130859375}, {"start": 683.47, "end": 683.95, "word": " عبارة", "probability": 0.9649658203125}, {"start": 683.95, "end": 684.09, "word": " عن", "probability": 0.99169921875}, {"start": 684.09, "end": 684.67, "word": " لما", "probability": 0.8134765625}, {"start": 684.67, "end": 684.97, "word": " اعوض", "probability": 0.6409912109375}, {"start": 684.97, "end": 685.11, "word": " من", "probability": 0.974609375}, {"start": 685.11, "end": 685.29, "word": " 0", "probability": 0.43701171875}, {"start": 685.29, "end": 685.45, "word": " ل", "probability": 0.7412109375}, {"start": 685.45, "end": 685.67, "word": " X", "probability": 0.80859375}, {"start": 685.67, "end": 686.03, "word": " بيصير", "probability": 0.8765869140625}, {"start": 686.03, "end": 686.55, "word": " 1", "probability": 0.8212890625}, {"start": 686.55, "end": 687.45, "word": " زائد", "probability": 0.6358235677083334}, {"start": 687.45, "end": 687.91, "word": " X", "probability": 0.93798828125}, {"start": 687.91, "end": 688.57, "word": " زائد", "probability": 0.9420572916666666}, {"start": 688.57, "end": 688.79, "word": " X", "probability": 0.98388671875}, {"start": 688.79, "end": 689.47, "word": " تربيع", "probability": 0.8714599609375}, {"start": 689.47, "end": 689.93, "word": " على", "probability": 0.6494140625}, {"start": 689.93, "end": 690.23, "word": " 2", "probability": 0.95458984375}, {"start": 690.23, "end": 690.89, "word": " factorial", "probability": 0.35546875}, {"start": 690.89, "end": 691.45, "word": " لما", "probability": 0.936279296875}, {"start": 691.45, "end": 691.77, "word": " أصل", "probability": 0.7159423828125}, {"start": 691.77, "end": 692.09, "word": " لأخر", "probability": 0.611572265625}, {"start": 692.09, "end": 693.13, "word": " واحد", "probability": 0.8759765625}, {"start": 693.13, "end": 693.77, "word": " X", "probability": 0.865234375}, {"start": 693.77, "end": 693.99, "word": " K", "probability": 0.400390625}, {"start": 693.99, "end": 694.31, "word": " زائد", "probability": 0.9314778645833334}, {"start": 694.31, "end": 694.77, "word": " 1", "probability": 0.869140625}, {"start": 694.77, "end": 695.31, "word": " على", "probability": 0.78466796875}, {"start": 695.31, "end": 695.61, "word": " K", "probability": 0.9384765625}, {"start": 695.61, "end": 695.89, "word": " زائد", "probability": 0.9677734375}, {"start": 695.89, "end": 696.27, "word": " 1", "probability": 0.96484375}], "temperature": 1.0}, {"id": 32, "seek": 71743, "start": 696.55, "end": 717.43, "text": "فاكتوريال إذا فعلاً طلعت عندي a k زائد واحد بساوي هذا المقدار يعني بمعنى آخر أربعة طلعت ال true for n بتساوي k زائد واحد إذا من كل هذا ال induction بنكون أثبتنا أن e n of x بساوي هذا الكلام لكل x element in R لكل n element in N", "tokens": [5172, 995, 4117, 2655, 13063, 1829, 6027, 11933, 15730, 6156, 3615, 15040, 14111, 23032, 1211, 34268, 18871, 16254, 257, 350, 30767, 16373, 3215, 36764, 24401, 4724, 3794, 995, 45865, 23758, 9673, 28543, 9640, 37495, 22653, 4724, 2304, 3615, 1863, 7578, 19753, 34740, 5551, 25513, 27884, 23032, 1211, 34268, 2423, 2074, 337, 297, 39894, 3794, 995, 45865, 350, 30767, 16373, 3215, 36764, 24401, 11933, 15730, 9154, 28242, 23758, 2423, 33371, 44945, 30544, 5551, 12984, 3555, 2655, 8315, 14739, 308, 297, 295, 2031, 4724, 3794, 995, 45865, 23758, 2423, 28820, 10943, 5296, 28820, 2031, 4478, 294, 497, 5296, 28820, 297, 4478, 294, 426], "avg_logprob": -0.24387254273774578, "compression_ratio": 1.708133971291866, "no_speech_prob": 2.7418136596679688e-06, "words": [{"start": 696.55, "end": 697.19, "word": "فاكتوريال", "probability": 0.6265694754464286}, {"start": 697.19, "end": 697.71, "word": " إذا", "probability": 0.5718994140625}, {"start": 697.71, "end": 698.21, "word": " فعلاً", "probability": 0.8189697265625}, {"start": 698.21, "end": 698.57, "word": " طلعت", "probability": 0.9469401041666666}, {"start": 698.57, "end": 698.91, "word": " عندي", "probability": 0.765869140625}, {"start": 698.91, "end": 699.17, "word": " a", "probability": 0.2357177734375}, {"start": 699.17, "end": 699.41, "word": " k", "probability": 0.29541015625}, {"start": 699.41, "end": 699.75, "word": " زائد", "probability": 0.6691080729166666}, {"start": 699.75, "end": 700.09, "word": " واحد", "probability": 0.935302734375}, {"start": 700.09, "end": 700.47, "word": " بساوي", "probability": 0.8507080078125}, {"start": 700.47, "end": 700.71, "word": " هذا", "probability": 0.9697265625}, {"start": 700.71, "end": 701.35, "word": " المقدار", "probability": 0.9752604166666666}, {"start": 701.35, "end": 702.11, "word": " يعني", "probability": 0.917724609375}, {"start": 702.11, "end": 702.55, "word": " بمعنى", "probability": 0.9908203125}, {"start": 702.55, "end": 702.95, "word": " آخر", "probability": 0.7432861328125}, {"start": 702.95, "end": 703.59, "word": " أربعة", "probability": 0.8492838541666666}, {"start": 703.59, "end": 704.31, "word": " طلعت", "probability": 0.96142578125}, {"start": 704.31, "end": 704.45, "word": " ال", "probability": 0.3603515625}, {"start": 704.45, "end": 704.81, "word": " true", "probability": 0.68408203125}, {"start": 704.81, "end": 705.31, "word": " for", "probability": 0.83837890625}, {"start": 705.31, "end": 705.51, "word": " n", "probability": 0.49951171875}, {"start": 705.51, "end": 705.97, "word": " بتساوي", "probability": 0.9158935546875}, {"start": 705.97, "end": 706.15, "word": " k", "probability": 0.75634765625}, {"start": 706.15, "end": 706.45, "word": " زائد", "probability": 0.8427734375}, {"start": 706.45, "end": 706.91, "word": " واحد", "probability": 0.986083984375}, {"start": 706.91, "end": 707.41, "word": " إذا", "probability": 0.8388671875}, {"start": 707.41, "end": 707.61, "word": " من", "probability": 0.97802734375}, {"start": 707.61, "end": 707.89, "word": " كل", "probability": 0.97412109375}, {"start": 707.89, "end": 708.11, "word": " هذا", "probability": 0.916015625}, {"start": 708.11, "end": 708.25, "word": " ال", "probability": 0.80419921875}, {"start": 708.25, "end": 708.71, "word": " induction", "probability": 0.97412109375}, {"start": 708.71, "end": 710.23, "word": " بنكون", "probability": 0.84619140625}, {"start": 710.23, "end": 710.97, "word": " أثبتنا", "probability": 0.98701171875}, {"start": 710.97, "end": 711.47, "word": " أن", "probability": 0.345703125}, {"start": 711.47, "end": 711.83, "word": " e", "probability": 0.382080078125}, {"start": 711.83, "end": 712.05, "word": " n", "probability": 0.375}, {"start": 712.05, "end": 712.23, "word": " of", "probability": 0.93701171875}, {"start": 712.23, "end": 712.45, "word": " x", "probability": 0.798828125}, {"start": 712.45, "end": 712.87, "word": " بساوي", "probability": 0.94677734375}, {"start": 712.87, "end": 713.11, "word": " هذا", "probability": 0.9814453125}, {"start": 713.11, "end": 713.65, "word": " الكلام", "probability": 0.8802083333333334}, {"start": 713.65, "end": 714.43, "word": " لكل", "probability": 0.96630859375}, {"start": 714.43, "end": 714.73, "word": " x", "probability": 0.82373046875}, {"start": 714.73, "end": 715.03, "word": " element", "probability": 0.763671875}, {"start": 715.03, "end": 715.23, "word": " in", "probability": 0.73876953125}, {"start": 715.23, "end": 715.47, "word": " R", "probability": 0.95849609375}, {"start": 715.47, "end": 716.07, "word": " لكل", "probability": 0.6595458984375}, {"start": 716.07, "end": 716.43, "word": " n", "probability": 0.736328125}, {"start": 716.43, "end": 717.09, "word": " element", "probability": 0.96923828125}, {"start": 717.09, "end": 717.33, "word": " in", "probability": 0.84375}, {"start": 717.33, "end": 717.43, "word": " N", "probability": 0.5380859375}], "temperature": 1.0}, {"id": 33, "seek": 73791, "start": 717.69, "end": 737.91, "text": "إذاً هذه صورة اللي هي الـEN of X صورة غير الصورة اللي عرفناها فوق استنتجناها منها الآن خلّينا نروح باتجاه إثبات إنه ال limit للـEN هذه أو الـEK أو الـEN أو اللي هي is uniformly convergent", "tokens": [28814, 15730, 14111, 29538, 20328, 13063, 3660, 13672, 1829, 39896, 2423, 39184, 2195, 295, 1783, 20328, 13063, 3660, 32771, 13546, 31767, 13063, 3660, 13672, 1829, 6225, 28480, 8315, 11296, 6156, 30543, 44713, 29399, 7435, 8315, 11296, 9154, 11296, 6024, 48506, 16490, 1211, 11703, 9957, 995, 8717, 32887, 5016, 4724, 9307, 7435, 40294, 11933, 12984, 3555, 9307, 36145, 3224, 2423, 4948, 24976, 39184, 2195, 29538, 34051, 2423, 39184, 36, 42, 34051, 2423, 39184, 2195, 34051, 13672, 1829, 39896, 307, 48806, 9652, 6930], "avg_logprob": -0.2145579277378757, "compression_ratio": 1.6236559139784945, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 717.69, "end": 718.21, "word": "إذاً", "probability": 0.4944661458333333}, {"start": 718.21, "end": 718.39, "word": " هذه", "probability": 0.44677734375}, {"start": 718.39, "end": 718.99, "word": " صورة", "probability": 0.9383138020833334}, {"start": 718.99, "end": 719.21, "word": " اللي", "probability": 0.6446533203125}, {"start": 719.21, "end": 719.47, "word": " هي", "probability": 0.89990234375}, {"start": 719.47, "end": 719.83, "word": " الـEN", "probability": 0.4752604166666667}, {"start": 719.83, "end": 720.05, "word": " of", "probability": 0.71435546875}, {"start": 720.05, "end": 720.25, "word": " X", "probability": 0.984375}, {"start": 720.25, "end": 720.63, "word": " صورة", "probability": 0.9427083333333334}, {"start": 720.63, "end": 720.87, "word": " غير", "probability": 0.984375}, {"start": 720.87, "end": 721.49, "word": " الصورة", "probability": 0.9807942708333334}, {"start": 721.49, "end": 722.07, "word": " اللي", "probability": 0.913330078125}, {"start": 722.07, "end": 722.73, "word": " عرفناها", "probability": 0.9541015625}, {"start": 722.73, "end": 723.13, "word": " فوق", "probability": 0.9638671875}, {"start": 723.13, "end": 723.89, "word": " استنتجناها", "probability": 0.90263671875}, {"start": 723.89, "end": 724.27, "word": " منها", "probability": 0.99365234375}, {"start": 724.27, "end": 725.15, "word": " الآن", "probability": 0.73095703125}, {"start": 725.15, "end": 726.15, "word": " خلّينا", "probability": 0.81728515625}, {"start": 726.15, "end": 726.53, "word": " نروح", "probability": 0.9931640625}, {"start": 726.53, "end": 727.33, "word": " باتجاه", "probability": 0.9892578125}, {"start": 727.33, "end": 728.47, "word": " إثبات", "probability": 0.88525390625}, {"start": 728.47, "end": 728.99, "word": " إنه", "probability": 0.5614013671875}, {"start": 728.99, "end": 729.23, "word": " ال", "probability": 0.77197265625}, {"start": 729.23, "end": 729.65, "word": " limit", "probability": 0.35302734375}, {"start": 729.65, "end": 730.51, "word": " للـEN", "probability": 0.8058268229166666}, {"start": 730.51, "end": 731.09, "word": " هذه", "probability": 0.7529296875}, {"start": 731.09, "end": 731.77, "word": " أو", "probability": 0.7470703125}, {"start": 731.77, "end": 733.19, "word": " الـEK", "probability": 0.70166015625}, {"start": 733.19, "end": 733.51, "word": " أو", "probability": 0.8671875}, {"start": 733.51, "end": 734.05, "word": " الـEN", "probability": 0.9244791666666666}, {"start": 734.05, "end": 734.29, "word": " أو", "probability": 0.68017578125}, {"start": 734.29, "end": 734.45, "word": " اللي", "probability": 0.970947265625}, {"start": 734.45, "end": 734.85, "word": " هي", "probability": 0.9462890625}, {"start": 734.85, "end": 735.65, "word": " is", "probability": 0.81103515625}, {"start": 735.65, "end": 736.71, "word": " uniformly", "probability": 0.94189453125}, {"start": 736.71, "end": 737.91, "word": " convergent", "probability": 0.972412109375}], "temperature": 1.0}, {"id": 34, "seek": 75880, "start": 738.68, "end": 758.8, "text": "to some function هذه الـ some function هي اللي بتدعي انها هتكون ال exponential طيب اللي بنسميها exponential بعد شوية اللي هي بتحقق شرطين اللي حكينا عنهم لسه احنا بنعرف ال exponential احنا بنعرف الدالة هذه لكن لأن معلوماتنا عارفين من اول ال exponential", "tokens": [1353, 512, 2445, 29538, 2423, 39184, 512, 2445, 39896, 13672, 1829, 39894, 3215, 3615, 1829, 16472, 11296, 8032, 2655, 30544, 2423, 21510, 23032, 1829, 3555, 13672, 1829, 44945, 38251, 1829, 11296, 21510, 39182, 13412, 2407, 10632, 13672, 1829, 39896, 39894, 5016, 4587, 4587, 13412, 2288, 9566, 9957, 13672, 1829, 11331, 4117, 1829, 8315, 18871, 16095, 5296, 3794, 3224, 1975, 5016, 8315, 44945, 3615, 28480, 2423, 21510, 1975, 5016, 8315, 44945, 3615, 28480, 32748, 6027, 3660, 29538, 44381, 5296, 33456, 20449, 1211, 20498, 9307, 8315, 6225, 9640, 5172, 9957, 9154, 1975, 12610, 2423, 21510], "avg_logprob": -0.2084441418026356, "compression_ratio": 1.9257425742574257, "no_speech_prob": 8.046627044677734e-06, "words": [{"start": 738.68, "end": 739.24, "word": "to", "probability": 0.04266357421875}, {"start": 739.24, "end": 740.06, "word": " some", "probability": 0.53662109375}, {"start": 740.06, "end": 741.04, "word": " function", "probability": 0.892578125}, {"start": 741.04, "end": 741.64, "word": " هذه", "probability": 0.30859375}, {"start": 741.64, "end": 741.84, "word": " الـ", "probability": 0.638427734375}, {"start": 741.84, "end": 742.0, "word": " some", "probability": 0.43603515625}, {"start": 742.0, "end": 742.6, "word": " function", "probability": 0.91845703125}, {"start": 742.6, "end": 743.5, "word": " هي", "probability": 0.95166015625}, {"start": 743.5, "end": 743.9, "word": " اللي", "probability": 0.804931640625}, {"start": 743.9, "end": 744.78, "word": " بتدعي", "probability": 0.8623046875}, {"start": 744.78, "end": 745.32, "word": " انها", "probability": 0.7421875}, {"start": 745.32, "end": 745.9, "word": " هتكون", "probability": 0.9205729166666666}, {"start": 745.9, "end": 746.14, "word": " ال", "probability": 0.880859375}, {"start": 746.14, "end": 746.98, "word": " exponential", "probability": 0.5517578125}, {"start": 746.98, "end": 748.12, "word": " طيب", "probability": 0.9345703125}, {"start": 748.12, "end": 748.5, "word": " اللي", "probability": 0.890380859375}, {"start": 748.5, "end": 749.12, "word": " بنسميها", "probability": 0.88916015625}, {"start": 749.12, "end": 749.58, "word": " exponential", "probability": 0.90234375}, {"start": 749.58, "end": 749.9, "word": " بعد", "probability": 0.87841796875}, {"start": 749.9, "end": 750.32, "word": " شوية", "probability": 0.9313151041666666}, {"start": 750.32, "end": 750.88, "word": " اللي", "probability": 0.9345703125}, {"start": 750.88, "end": 751.0, "word": " هي", "probability": 0.720703125}, {"start": 751.0, "end": 751.58, "word": " بتحقق", "probability": 0.958251953125}, {"start": 751.58, "end": 752.24, "word": " شرطين", "probability": 0.9288330078125}, {"start": 752.24, "end": 752.84, "word": " اللي", "probability": 0.9580078125}, {"start": 752.84, "end": 753.28, "word": " حكينا", "probability": 0.9881591796875}, {"start": 753.28, "end": 753.62, "word": " عنهم", "probability": 0.7880859375}, {"start": 753.62, "end": 754.14, "word": " لسه", "probability": 0.9344075520833334}, {"start": 754.14, "end": 754.26, "word": " احنا", "probability": 0.8504231770833334}, {"start": 754.26, "end": 754.52, "word": " بنعرف", "probability": 0.7483723958333334}, {"start": 754.52, "end": 754.68, "word": " ال", "probability": 0.327880859375}, {"start": 754.68, "end": 755.14, "word": " exponential", "probability": 0.9189453125}, {"start": 755.14, "end": 755.4, "word": " احنا", "probability": 0.8352864583333334}, {"start": 755.4, "end": 755.76, "word": " بنعرف", "probability": 0.9459635416666666}, {"start": 755.76, "end": 756.12, "word": " الدالة", "probability": 0.9290364583333334}, {"start": 756.12, "end": 756.36, "word": " هذه", "probability": 0.76220703125}, {"start": 756.36, "end": 756.58, "word": " لكن", "probability": 0.82666015625}, {"start": 756.58, "end": 756.82, "word": " لأن", "probability": 0.724609375}, {"start": 756.82, "end": 757.34, "word": " معلوماتنا", "probability": 0.9453125}, {"start": 757.34, "end": 757.98, "word": " عارفين", "probability": 0.9639892578125}, {"start": 757.98, "end": 758.08, "word": " من", "probability": 0.9814453125}, {"start": 758.08, "end": 758.34, "word": " اول", "probability": 0.7393798828125}, {"start": 758.34, "end": 758.44, "word": " ال", "probability": 0.94873046875}, {"start": 758.44, "end": 758.8, "word": " exponential", "probability": 0.94580078125}], "temperature": 1.0}, {"id": 35, "seek": 78200, "start": 759.46, "end": 782.0, "text": "الان احنا الدالة هذه اللى هنثبت وجودها اليوم هي اللى بعد شوية بعد ما نثبت ال uniqueness لها بنسميها ال exponential زي ما هنشوف بعد شوية الان اذا ال sequence اللى عندى هذه هيوضعها الان قلنا E N", "tokens": [6027, 7649, 1975, 5016, 8315, 32748, 6027, 3660, 29538, 13672, 7578, 8032, 1863, 12984, 3555, 2655, 49610, 23328, 11296, 45595, 20498, 39896, 13672, 7578, 39182, 13412, 2407, 10632, 39182, 19446, 8717, 12984, 3555, 2655, 2423, 48294, 5296, 11296, 44945, 38251, 1829, 11296, 2423, 21510, 30767, 1829, 19446, 8032, 1863, 8592, 38688, 39182, 13412, 2407, 10632, 2423, 7649, 1975, 15730, 2423, 8310, 13672, 7578, 43242, 7578, 29538, 39896, 2407, 11242, 3615, 11296, 2423, 7649, 12174, 1211, 8315, 462, 426], "avg_logprob": -0.21716772604592238, "compression_ratio": 1.726775956284153, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 759.46, "end": 760.04, "word": "الان", "probability": 0.74853515625}, {"start": 760.04, "end": 760.96, "word": " احنا", "probability": 0.6765543619791666}, {"start": 760.96, "end": 761.8, "word": " الدالة", "probability": 0.8640950520833334}, {"start": 761.8, "end": 762.14, "word": " هذه", "probability": 0.50634765625}, {"start": 762.14, "end": 762.44, "word": " اللى", "probability": 0.726318359375}, {"start": 762.44, "end": 763.0, "word": " هنثبت", "probability": 0.8771484375}, {"start": 763.0, "end": 763.36, "word": " وجودها", "probability": 0.9928385416666666}, {"start": 763.36, "end": 763.78, "word": " اليوم", "probability": 0.958984375}, {"start": 763.78, "end": 764.28, "word": " هي", "probability": 0.8642578125}, {"start": 764.28, "end": 764.46, "word": " اللى", "probability": 0.98193359375}, {"start": 764.46, "end": 764.6, "word": " بعد", "probability": 0.84912109375}, {"start": 764.6, "end": 765.2, "word": " شوية", "probability": 0.95751953125}, {"start": 765.2, "end": 765.92, "word": " بعد", "probability": 0.912109375}, {"start": 765.92, "end": 766.08, "word": " ما", "probability": 0.76953125}, {"start": 766.08, "end": 766.44, "word": " نثبت", "probability": 0.9935302734375}, {"start": 766.44, "end": 766.54, "word": " ال", "probability": 0.98095703125}, {"start": 766.54, "end": 766.94, "word": " uniqueness", "probability": 0.70556640625}, {"start": 766.94, "end": 767.6, "word": " لها", "probability": 0.636962890625}, {"start": 767.6, "end": 768.58, "word": " بنسميها", "probability": 0.97412109375}, {"start": 768.58, "end": 768.86, "word": " ال", "probability": 0.93603515625}, {"start": 768.86, "end": 769.44, "word": " exponential", "probability": 0.8193359375}, {"start": 769.44, "end": 770.16, "word": " زي", "probability": 0.7685546875}, {"start": 770.16, "end": 770.26, "word": " ما", "probability": 0.97314453125}, {"start": 770.26, "end": 770.88, "word": " هنشوف", "probability": 0.9725341796875}, {"start": 770.88, "end": 771.18, "word": " بعد", "probability": 0.92919921875}, {"start": 771.18, "end": 771.66, "word": " شوية", "probability": 0.9827473958333334}, {"start": 771.66, "end": 772.52, "word": " الان", "probability": 0.7039794921875}, {"start": 772.52, "end": 774.34, "word": " اذا", "probability": 0.666748046875}, {"start": 774.34, "end": 774.76, "word": " ال", "probability": 0.9248046875}, {"start": 774.76, "end": 775.62, "word": " sequence", "probability": 0.77978515625}, {"start": 775.62, "end": 775.84, "word": " اللى", "probability": 0.970458984375}, {"start": 775.84, "end": 776.26, "word": " عندى", "probability": 0.7060546875}, {"start": 776.26, "end": 776.62, "word": " هذه", "probability": 0.325439453125}, {"start": 776.62, "end": 777.98, "word": " هيوضعها", "probability": 0.90771484375}, {"start": 777.98, "end": 779.06, "word": " الان", "probability": 0.816162109375}, {"start": 779.06, "end": 779.76, "word": " قلنا", "probability": 0.8487955729166666}, {"start": 779.76, "end": 780.4, "word": " E", "probability": 0.45947265625}, {"start": 780.4, "end": 782.0, "word": " N", "probability": 0.24072265625}], "temperature": 1.0}, {"id": 36, "seek": 81032, "start": 782.98, "end": 810.32, "text": "of X هذه المعادلة التانية هي واحد زائد X زائد X تربيع على اتنين factorial زائد X أُس N على N factorial وهذا الشكل طبعا أنتوا مش غريب عليكم بتعرفوه الآن خليني أخد الان let A أكبر من سفر بيه given افترض ان A اني اللي هو real number أكبر من مين من سفر باخده arbitrarily لكن خليني نحكي عن A محددة", "tokens": [2670, 1783, 29538, 9673, 3615, 18513, 37977, 16712, 7649, 10632, 39896, 36764, 24401, 30767, 16373, 3215, 1783, 30767, 16373, 3215, 1783, 6055, 2288, 21292, 3615, 15844, 1975, 2655, 1863, 9957, 36916, 30767, 16373, 3215, 1783, 5551, 10859, 3794, 426, 15844, 426, 36916, 37037, 15730, 25124, 28820, 23032, 3555, 3615, 995, 14739, 2655, 14407, 37893, 32771, 16572, 3555, 25894, 24793, 39894, 3615, 28480, 2407, 3224, 6024, 48506, 16490, 1211, 9957, 1829, 5551, 9778, 3215, 2423, 7649, 718, 316, 5551, 4117, 26890, 9154, 8608, 5172, 2288, 4724, 1829, 3224, 2212, 1975, 5172, 2655, 43042, 16472, 316, 1975, 22653, 13672, 1829, 31439, 957, 1230, 5551, 4117, 26890, 9154, 3714, 9957, 9154, 8608, 5172, 2288, 4724, 47283, 3215, 3224, 19071, 3289, 44381, 16490, 1211, 9957, 1829, 8717, 5016, 4117, 1829, 18871, 316, 3714, 24401, 41891], "avg_logprob": -0.29024622228109476, "compression_ratio": 1.684782608695652, "no_speech_prob": 4.0531158447265625e-06, "words": [{"start": 782.98, "end": 783.34, "word": "of", "probability": 0.56005859375}, {"start": 783.34, "end": 783.86, "word": " X", "probability": 0.489501953125}, {"start": 783.86, "end": 784.32, "word": " هذه", "probability": 0.340087890625}, {"start": 784.32, "end": 784.8, "word": " المعادلة", "probability": 0.9732666015625}, {"start": 784.8, "end": 785.16, "word": " التانية", "probability": 0.8133138020833334}, {"start": 785.16, "end": 785.3, "word": " هي", "probability": 0.26708984375}, {"start": 785.3, "end": 787.08, "word": " واحد", "probability": 0.76953125}, {"start": 787.08, "end": 787.54, "word": " زائد", "probability": 0.7713216145833334}, {"start": 787.54, "end": 787.94, "word": " X", "probability": 0.96875}, {"start": 787.94, "end": 788.76, "word": " زائد", "probability": 0.8800455729166666}, {"start": 788.76, "end": 788.98, "word": " X", "probability": 0.9716796875}, {"start": 788.98, "end": 789.54, "word": " تربيع", "probability": 0.811767578125}, {"start": 789.54, "end": 789.72, "word": " على", "probability": 0.76904296875}, {"start": 789.72, "end": 789.98, "word": " اتنين", "probability": 0.80914306640625}, {"start": 789.98, "end": 790.54, "word": " factorial", "probability": 0.486328125}, {"start": 790.54, "end": 791.56, "word": " زائد", "probability": 0.9459635416666666}, {"start": 791.56, "end": 791.88, "word": " X", "probability": 0.9794921875}, {"start": 791.88, "end": 792.22, "word": " أُس", "probability": 0.665283203125}, {"start": 792.22, "end": 792.48, "word": " N", "probability": 0.333251953125}, {"start": 792.48, "end": 792.78, "word": " على", "probability": 0.6171875}, {"start": 792.78, "end": 793.04, "word": " N", "probability": 0.83056640625}, {"start": 793.04, "end": 793.56, "word": " factorial", "probability": 0.73388671875}, {"start": 793.56, "end": 793.84, "word": " وهذا", "probability": 0.777587890625}, {"start": 793.84, "end": 794.2, "word": " الشكل", "probability": 0.9873046875}, {"start": 794.2, "end": 794.58, "word": " طبعا", "probability": 0.9586181640625}, {"start": 794.58, "end": 795.12, "word": " أنتوا", "probability": 0.4313151041666667}, {"start": 795.12, "end": 795.6, "word": " مش", "probability": 0.970703125}, {"start": 795.6, "end": 795.92, "word": " غريب", "probability": 0.9873046875}, {"start": 795.92, "end": 796.34, "word": " عليكم", "probability": 0.9384765625}, {"start": 796.34, "end": 797.18, "word": " بتعرفوه", "probability": 0.8029296875}, {"start": 797.18, "end": 797.98, "word": " الآن", "probability": 0.5592041015625}, {"start": 797.98, "end": 798.52, "word": " خليني", "probability": 0.91455078125}, {"start": 798.52, "end": 798.96, "word": " أخد", "probability": 0.79443359375}, {"start": 798.96, "end": 799.38, "word": " الان", "probability": 0.45318603515625}, {"start": 799.38, "end": 799.72, "word": " let", "probability": 0.72802734375}, {"start": 799.72, "end": 799.92, "word": " A", "probability": 0.68994140625}, {"start": 799.92, "end": 800.24, "word": " أكبر", "probability": 0.92431640625}, {"start": 800.24, "end": 800.4, "word": " من", "probability": 0.98876953125}, {"start": 800.4, "end": 800.7, "word": " سفر", "probability": 0.7007649739583334}, {"start": 800.7, "end": 800.94, "word": " بيه", "probability": 0.754638671875}, {"start": 800.94, "end": 801.14, "word": " given", "probability": 0.73046875}, {"start": 801.14, "end": 801.58, "word": " افترض", "probability": 0.802001953125}, {"start": 801.58, "end": 801.74, "word": " ان", "probability": 0.6005859375}, {"start": 801.74, "end": 802.08, "word": " A", "probability": 0.339111328125}, {"start": 802.08, "end": 803.04, "word": " اني", "probability": 0.4156494140625}, {"start": 803.04, "end": 803.66, "word": " اللي", "probability": 0.8388671875}, {"start": 803.66, "end": 803.88, "word": " هو", "probability": 0.98779296875}, {"start": 803.88, "end": 804.12, "word": " real", "probability": 0.7353515625}, {"start": 804.12, "end": 804.54, "word": " number", "probability": 0.98486328125}, {"start": 804.54, "end": 804.94, "word": " أكبر", "probability": 0.8953450520833334}, {"start": 804.94, "end": 805.2, "word": " من", "probability": 0.98974609375}, {"start": 805.2, "end": 805.6, "word": " مين", "probability": 0.6842041015625}, {"start": 805.6, "end": 806.02, "word": " من", "probability": 0.88330078125}, {"start": 806.02, "end": 806.5, "word": " سفر", "probability": 0.9583333333333334}, {"start": 806.5, "end": 807.6, "word": " باخده", "probability": 0.89794921875}, {"start": 807.6, "end": 808.44, "word": " arbitrarily", "probability": 0.550384521484375}, {"start": 808.44, "end": 808.66, "word": " لكن", "probability": 0.8486328125}, {"start": 808.66, "end": 808.94, "word": " خليني", "probability": 0.9530029296875}, {"start": 808.94, "end": 809.26, "word": " نحكي", "probability": 0.90478515625}, {"start": 809.26, "end": 809.42, "word": " عن", "probability": 0.95166015625}, {"start": 809.42, "end": 809.64, "word": " A", "probability": 0.7900390625}, {"start": 809.64, "end": 810.32, "word": " محددة", "probability": 0.9684244791666666}], "temperature": 1.0}, {"id": 37, "seek": 83921, "start": 810.71, "end": 839.21, "text": "الان if absolute value of X أصغر أو تساوي A يعني بتحكي الحديث هان على ال Xات اللي في ال R اللي من عند ناقص A لعند مين ال A يعني ال absolute value لهن هذولة أصغر أو تساوي ال A يعني في الفترة المغلقة اللي أمامي اللي بين ناقص ال A و ال A بتتحدث شوف الآن احسبلي Em of X ناقص En of X", "tokens": [6027, 7649, 498, 8236, 2158, 295, 1783, 5551, 9381, 17082, 2288, 34051, 6055, 3794, 995, 45865, 316, 37495, 22653, 39894, 5016, 4117, 1829, 21542, 16254, 12984, 8032, 7649, 15844, 2423, 1783, 9307, 13672, 1829, 8978, 2423, 497, 13672, 1829, 9154, 43242, 8717, 995, 4587, 9381, 316, 5296, 3615, 41260, 3714, 9957, 2423, 316, 37495, 22653, 2423, 8236, 2158, 46740, 1863, 8032, 8848, 12610, 3660, 5551, 9381, 17082, 2288, 34051, 6055, 3794, 995, 45865, 2423, 316, 37495, 22653, 8978, 27188, 2655, 25720, 9673, 17082, 1211, 28671, 13672, 1829, 5551, 2304, 10943, 1829, 13672, 1829, 49374, 8717, 995, 4587, 9381, 2423, 316, 4032, 2423, 316, 39894, 2655, 24401, 12984, 13412, 38688, 6024, 48506, 1975, 5016, 35457, 20292, 3968, 295, 1783, 8717, 995, 4587, 9381, 2193, 295, 1783], "avg_logprob": -0.20151289682539683, "compression_ratio": 1.9217391304347826, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 810.71, "end": 811.19, "word": "الان", "probability": 0.4072265625}, {"start": 811.19, "end": 812.33, "word": " if", "probability": 0.51123046875}, {"start": 812.33, "end": 812.83, "word": " absolute", "probability": 0.80419921875}, {"start": 812.83, "end": 813.25, "word": " value", "probability": 0.96875}, {"start": 813.25, "end": 813.35, "word": " of", "probability": 0.68798828125}, {"start": 813.35, "end": 813.47, "word": " X", "probability": 0.41943359375}, {"start": 813.47, "end": 813.75, "word": " أصغر", "probability": 0.91796875}, {"start": 813.75, "end": 813.81, "word": " أو", "probability": 0.8076171875}, {"start": 813.81, "end": 814.03, "word": " تساوي", "probability": 0.942138671875}, {"start": 814.03, "end": 814.23, "word": " A", "probability": 0.31884765625}, {"start": 814.23, "end": 814.55, "word": " يعني", "probability": 0.761474609375}, {"start": 814.55, "end": 815.25, "word": " بتحكي", "probability": 0.694610595703125}, {"start": 815.25, "end": 816.03, "word": " الحديث", "probability": 0.83984375}, {"start": 816.03, "end": 816.59, "word": " هان", "probability": 0.469970703125}, {"start": 816.59, "end": 817.31, "word": " على", "probability": 0.73095703125}, {"start": 817.31, "end": 817.47, "word": " ال", "probability": 0.75048828125}, {"start": 817.47, "end": 817.91, "word": " Xات", "probability": 0.6962890625}, {"start": 817.91, "end": 818.15, "word": " اللي", "probability": 0.9345703125}, {"start": 818.15, "end": 818.25, "word": " في", "probability": 0.88671875}, {"start": 818.25, "end": 818.41, "word": " ال", "probability": 0.92626953125}, {"start": 818.41, "end": 818.77, "word": " R", "probability": 0.43359375}, {"start": 818.77, "end": 819.39, "word": " اللي", "probability": 0.938720703125}, {"start": 819.39, "end": 819.93, "word": " من", "probability": 0.978515625}, {"start": 819.93, "end": 820.27, "word": " عند", "probability": 0.95068359375}, {"start": 820.27, "end": 820.89, "word": " ناقص", "probability": 0.8492431640625}, {"start": 820.89, "end": 821.23, "word": " A", "probability": 0.8671875}, {"start": 821.23, "end": 822.07, "word": " لعند", "probability": 0.8899739583333334}, {"start": 822.07, "end": 822.51, "word": " مين", "probability": 0.93115234375}, {"start": 822.51, "end": 822.83, "word": " ال", "probability": 0.76611328125}, {"start": 822.83, "end": 823.01, "word": " A", "probability": 0.92822265625}, {"start": 823.01, "end": 823.59, "word": " يعني", "probability": 0.925537109375}, {"start": 823.59, "end": 823.69, "word": " ال", "probability": 0.765625}, {"start": 823.69, "end": 824.03, "word": " absolute", "probability": 0.93505859375}, {"start": 824.03, "end": 824.59, "word": " value", "probability": 0.98828125}, {"start": 824.59, "end": 825.05, "word": " لهن", "probability": 0.43609619140625}, {"start": 825.05, "end": 825.75, "word": " هذولة", "probability": 0.8369140625}, {"start": 825.75, "end": 826.77, "word": " أصغر", "probability": 0.97216796875}, {"start": 826.77, "end": 827.29, "word": " أو", "probability": 0.8720703125}, {"start": 827.29, "end": 828.01, "word": " تساوي", "probability": 0.985595703125}, {"start": 828.01, "end": 828.45, "word": " ال", "probability": 0.86279296875}, {"start": 828.45, "end": 828.61, "word": " A", "probability": 0.9599609375}, {"start": 828.61, "end": 829.27, "word": " يعني", "probability": 0.94189453125}, {"start": 829.27, "end": 829.41, "word": " في", "probability": 0.90869140625}, {"start": 829.41, "end": 829.89, "word": " الفترة", "probability": 0.9910481770833334}, {"start": 829.89, "end": 830.67, "word": " المغلقة", "probability": 0.9775390625}, {"start": 830.67, "end": 830.95, "word": " اللي", "probability": 0.95751953125}, {"start": 830.95, "end": 831.49, "word": " أمامي", "probability": 0.955078125}, {"start": 831.49, "end": 831.69, "word": " اللي", "probability": 0.9736328125}, {"start": 831.69, "end": 831.89, "word": " بين", "probability": 0.93896484375}, {"start": 831.89, "end": 832.25, "word": " ناقص", "probability": 0.9912109375}, {"start": 832.25, "end": 832.39, "word": " ال", "probability": 0.861328125}, {"start": 832.39, "end": 832.49, "word": " A", "probability": 0.95458984375}, {"start": 832.49, "end": 832.61, "word": " و", "probability": 0.67041015625}, {"start": 832.61, "end": 832.73, "word": " ال", "probability": 0.63037109375}, {"start": 832.73, "end": 832.89, "word": " A", "probability": 0.982421875}, {"start": 832.89, "end": 833.95, "word": " بتتحدث", "probability": 0.79742431640625}, {"start": 833.95, "end": 834.75, "word": " شوف", "probability": 0.931884765625}, {"start": 834.75, "end": 835.05, "word": " الآن", "probability": 0.63232421875}, {"start": 835.05, "end": 836.19, "word": " احسبلي", "probability": 0.9227294921875}, {"start": 836.19, "end": 837.07, "word": " Em", "probability": 0.53662109375}, {"start": 837.07, "end": 837.37, "word": " of", "probability": 0.80224609375}, {"start": 837.37, "end": 837.75, "word": " X", "probability": 0.97900390625}, {"start": 837.75, "end": 838.27, "word": " ناقص", "probability": 0.9837646484375}, {"start": 838.27, "end": 838.59, "word": " En", "probability": 0.80322265625}, {"start": 838.59, "end": 838.87, "word": " of", "probability": 0.94970703125}, {"start": 838.87, "end": 839.21, "word": " X", "probability": 0.99609375}], "temperature": 1.0}, {"id": 38, "seek": 86075, "start": 839.95, "end": 860.75, "text": "و يساوي و بدنا نفترض لكم ان الان ايه شمالها اكبر من الان و الان اكبر من اتنين ايه اتنين ايه مكتوب اتنين ايه لغرض الحسابات اللي جيت منشوفها بنفع تلاتة ايه، بنفع اربعة ايه، بنفع خمسة ايه، بنفع ستة ايه، بنفع كله بنفع هذا الكلام على اساس انك ماينفعش اقول نص ايه او تلت ايه او ربع ايه لأنها مش هتقد الغرض اللي بدي انا", "tokens": [2407, 7251, 3794, 995, 45865, 4032, 47525, 8315, 8717, 5172, 2655, 43042, 5296, 24793, 16472, 2423, 7649, 1975, 1829, 3224, 13412, 2304, 6027, 11296, 1975, 4117, 26890, 9154, 2423, 7649, 4032, 2423, 7649, 1975, 4117, 26890, 9154, 1975, 2655, 1863, 9957, 1975, 1829, 3224, 1975, 2655, 1863, 9957, 1975, 1829, 3224, 3714, 4117, 2655, 37746, 1975, 2655, 1863, 9957, 1975, 1829, 3224, 5296, 17082, 43042, 21542, 3794, 16758, 9307, 13672, 1829, 10874, 36081, 9154, 8592, 38688, 11296, 44945, 5172, 3615, 6055, 1211, 9307, 3660, 1975, 1829, 3224, 12399, 44945, 5172, 3615, 1975, 25513, 27884, 1975, 1829, 3224, 12399, 44945, 5172, 3615, 16490, 2304, 3794, 3660, 1975, 1829, 3224, 12399, 44945, 5172, 3615, 8608, 2655, 3660, 1975, 1829, 3224, 12399, 44945, 5172, 3615, 28242, 3224, 44945, 5172, 3615, 23758, 2423, 28820, 10943, 15844, 24525, 32277, 16472, 4117, 19446, 9957, 5172, 3615, 8592, 1975, 39648, 8717, 9381, 1975, 1829, 3224, 1975, 2407, 6055, 1211, 2655, 1975, 1829, 3224, 1975, 2407, 12602, 3555, 3615, 1975, 1829, 3224, 5296, 33456, 11296, 37893, 8032, 2655, 28543, 6024, 118, 43042, 13672, 1829, 4724, 16254, 1975, 8315], "avg_logprob": -0.17351519830977719, "compression_ratio": 2.3389121338912133, "no_speech_prob": 8.344650268554688e-07, "words": [{"start": 839.95, "end": 840.15, "word": "و", "probability": 0.496337890625}, {"start": 840.15, "end": 840.65, "word": " يساوي", "probability": 0.76171875}, {"start": 840.65, "end": 841.03, "word": " و", "probability": 0.64697265625}, {"start": 841.03, "end": 841.23, "word": " بدنا", "probability": 0.6278076171875}, {"start": 841.23, "end": 841.67, "word": " نفترض", "probability": 0.9879150390625}, {"start": 841.67, "end": 841.95, "word": " لكم", "probability": 0.599853515625}, {"start": 841.95, "end": 842.15, "word": " ان", "probability": 0.34912109375}, {"start": 842.15, "end": 842.45, "word": " الان", "probability": 0.42095947265625}, {"start": 842.45, "end": 842.69, "word": " ايه", "probability": 0.6234537760416666}, {"start": 842.69, "end": 843.21, "word": " شمالها", "probability": 0.933349609375}, {"start": 843.21, "end": 843.75, "word": " اكبر", "probability": 0.81884765625}, {"start": 843.75, "end": 843.95, "word": " من", "probability": 0.97900390625}, {"start": 843.95, "end": 844.31, "word": " الان", "probability": 0.955810546875}, {"start": 844.31, "end": 845.01, "word": " و", "probability": 0.681640625}, {"start": 845.01, "end": 845.37, "word": " الان", "probability": 0.8896484375}, {"start": 845.37, "end": 845.79, "word": " اكبر", "probability": 0.94921875}, {"start": 845.79, "end": 845.99, "word": " من", "probability": 0.99072265625}, {"start": 845.99, "end": 846.47, "word": " اتنين", "probability": 0.84747314453125}, {"start": 846.47, "end": 846.81, "word": " ايه", "probability": 0.9371744791666666}, {"start": 846.81, "end": 847.33, "word": " اتنين", "probability": 0.9180908203125}, {"start": 847.33, "end": 847.55, "word": " ايه", "probability": 0.98193359375}, {"start": 847.55, "end": 847.91, "word": " مكتوب", "probability": 0.966064453125}, {"start": 847.91, "end": 848.25, "word": " اتنين", "probability": 0.9847412109375}, {"start": 848.25, "end": 848.43, "word": " ايه", "probability": 0.9842122395833334}, {"start": 848.43, "end": 848.79, "word": " لغرض", "probability": 0.9832356770833334}, {"start": 848.79, "end": 849.41, "word": " الحسابات", "probability": 0.9503173828125}, {"start": 849.41, "end": 849.55, "word": " اللي", "probability": 0.7939453125}, {"start": 849.55, "end": 849.71, "word": " جيت", "probability": 0.75927734375}, {"start": 849.71, "end": 850.27, "word": " منشوفها", "probability": 0.78643798828125}, {"start": 850.27, "end": 850.85, "word": " بنفع", "probability": 0.8155924479166666}, {"start": 850.85, "end": 851.23, "word": " تلاتة", "probability": 0.9197998046875}, {"start": 851.23, "end": 851.41, "word": " ايه،", "probability": 0.7764892578125}, {"start": 851.41, "end": 851.63, "word": " بنفع", "probability": 0.9441731770833334}, {"start": 851.63, "end": 851.91, "word": " اربعة", "probability": 0.7115885416666666}, {"start": 851.91, "end": 852.13, "word": " ايه،", "probability": 0.9586181640625}, {"start": 852.13, "end": 852.31, "word": " بنفع", "probability": 0.9659830729166666}, {"start": 852.31, "end": 852.65, "word": " خمسة", "probability": 0.961181640625}, {"start": 852.65, "end": 852.83, "word": " ايه،", "probability": 0.970703125}, {"start": 852.83, "end": 852.99, "word": " بنفع", "probability": 0.9749348958333334}, {"start": 852.99, "end": 853.27, "word": " ستة", "probability": 0.9833984375}, {"start": 853.27, "end": 853.45, "word": " ايه،", "probability": 0.940185546875}, {"start": 853.45, "end": 853.83, "word": " بنفع", "probability": 0.9358723958333334}, {"start": 853.83, "end": 854.11, "word": " كله", "probability": 0.759033203125}, {"start": 854.11, "end": 854.45, "word": " بنفع", "probability": 0.8564453125}, {"start": 854.45, "end": 854.69, "word": " هذا", "probability": 0.91357421875}, {"start": 854.69, "end": 855.43, "word": " الكلام", "probability": 0.9777018229166666}, {"start": 855.43, "end": 855.71, "word": " على", "probability": 0.8232421875}, {"start": 855.71, "end": 856.03, "word": " اساس", "probability": 0.7177734375}, {"start": 856.03, "end": 856.19, "word": " انك", "probability": 0.6044921875}, {"start": 856.19, "end": 856.55, "word": " ماينفعش", "probability": 0.800244140625}, {"start": 856.55, "end": 856.73, "word": " اقول", "probability": 0.854248046875}, {"start": 856.73, "end": 857.05, "word": " نص", "probability": 0.974609375}, {"start": 857.05, "end": 857.27, "word": " ايه", "probability": 0.9744466145833334}, {"start": 857.27, "end": 857.41, "word": " او", "probability": 0.7734375}, {"start": 857.41, "end": 857.67, "word": " تلت", "probability": 0.9236653645833334}, {"start": 857.67, "end": 857.83, "word": " ايه", "probability": 0.9881184895833334}, {"start": 857.83, "end": 857.97, "word": " او", "probability": 0.945556640625}, {"start": 857.97, "end": 858.21, "word": " ربع", "probability": 0.92822265625}, {"start": 858.21, "end": 858.41, "word": " ايه", "probability": 0.9894205729166666}, {"start": 858.41, "end": 858.79, "word": " لأنها", "probability": 0.74609375}, {"start": 858.79, "end": 859.15, "word": " مش", "probability": 0.9521484375}, {"start": 859.15, "end": 859.55, "word": " هتقد", "probability": 0.8904622395833334}, {"start": 859.55, "end": 859.91, "word": " الغرض", "probability": 0.7720540364583334}, {"start": 859.91, "end": 860.07, "word": " اللي", "probability": 0.97998046875}, {"start": 860.07, "end": 860.39, "word": " بدي", "probability": 0.817138671875}, {"start": 860.39, "end": 860.75, "word": " انا", "probability": 0.70068359375}], "temperature": 1.0}, {"id": 39, "seek": 87977, "start": 861.15, "end": 879.77, "text": "لأن مين اخترت أنا اخترت اللي هو الأمات والأنات اللي أكبر منين من اتنين في الـA اللي هي قيبة مين الـA اللي هي نص الفترة اللي عندي أو طول نص الفترة طيب، احسبلي ايه M of X ناقص Y of X؟", "tokens": [1211, 33456, 3714, 9957, 1975, 46456, 43500, 41850, 1975, 46456, 43500, 13672, 1829, 31439, 16247, 2304, 9307, 16070, 33456, 9307, 13672, 1829, 5551, 4117, 26890, 9154, 9957, 9154, 1975, 2655, 1863, 9957, 8978, 2423, 39184, 32, 13672, 1829, 39896, 12174, 1829, 49401, 3714, 9957, 2423, 39184, 32, 13672, 1829, 39896, 8717, 9381, 27188, 2655, 25720, 13672, 1829, 18871, 16254, 34051, 23032, 12610, 8717, 9381, 27188, 2655, 25720, 23032, 1829, 3555, 12399, 1975, 5016, 35457, 20292, 1975, 1829, 3224, 376, 295, 1783, 8717, 995, 4587, 9381, 398, 295, 1783, 22807], "avg_logprob": -0.23767361707157558, "compression_ratio": 1.9024390243902438, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 861.15, "end": 861.59, "word": "لأن", "probability": 0.71044921875}, {"start": 861.59, "end": 861.87, "word": " مين", "probability": 0.6103515625}, {"start": 861.87, "end": 862.35, "word": " اخترت", "probability": 0.947265625}, {"start": 862.35, "end": 862.69, "word": " أنا", "probability": 0.61767578125}, {"start": 862.69, "end": 863.49, "word": " اخترت", "probability": 0.83203125}, {"start": 863.49, "end": 863.67, "word": " اللي", "probability": 0.87744140625}, {"start": 863.67, "end": 863.91, "word": " هو", "probability": 0.98046875}, {"start": 863.91, "end": 864.65, "word": " الأمات", "probability": 0.7438151041666666}, {"start": 864.65, "end": 865.41, "word": " والأنات", "probability": 0.7526041666666666}, {"start": 865.41, "end": 866.27, "word": " اللي", "probability": 0.922119140625}, {"start": 866.27, "end": 866.77, "word": " أكبر", "probability": 0.8805338541666666}, {"start": 866.77, "end": 867.61, "word": " منين", "probability": 0.572021484375}, {"start": 867.61, "end": 867.99, "word": " من", "probability": 0.87744140625}, {"start": 867.99, "end": 868.67, "word": " اتنين", "probability": 0.9307861328125}, {"start": 868.67, "end": 868.81, "word": " في", "probability": 0.88525390625}, {"start": 868.81, "end": 869.65, "word": " الـA", "probability": 0.560302734375}, {"start": 869.65, "end": 869.79, "word": " اللي", "probability": 0.6971435546875}, {"start": 869.79, "end": 870.01, "word": " هي", "probability": 0.96435546875}, {"start": 870.01, "end": 870.55, "word": " قيبة", "probability": 0.80712890625}, {"start": 870.55, "end": 870.85, "word": " مين", "probability": 0.73583984375}, {"start": 870.85, "end": 871.29, "word": " الـA", "probability": 0.9462890625}, {"start": 871.29, "end": 872.61, "word": " اللي", "probability": 0.92041015625}, {"start": 872.61, "end": 873.25, "word": " هي", "probability": 0.6962890625}, {"start": 873.25, "end": 873.65, "word": " نص", "probability": 0.72998046875}, {"start": 873.65, "end": 874.01, "word": " الفترة", "probability": 0.9814453125}, {"start": 874.01, "end": 874.11, "word": " اللي", "probability": 0.9189453125}, {"start": 874.11, "end": 874.39, "word": " عندي", "probability": 0.8466796875}, {"start": 874.39, "end": 874.51, "word": " أو", "probability": 0.53857421875}, {"start": 874.51, "end": 874.69, "word": " طول", "probability": 0.9892578125}, {"start": 874.69, "end": 874.89, "word": " نص", "probability": 0.98583984375}, {"start": 874.89, "end": 875.35, "word": " الفترة", "probability": 0.9869791666666666}, {"start": 875.35, "end": 877.23, "word": " طيب،", "probability": 0.7274169921875}, {"start": 877.23, "end": 877.79, "word": " احسبلي", "probability": 0.74530029296875}, {"start": 877.79, "end": 878.01, "word": " ايه", "probability": 0.81982421875}, {"start": 878.01, "end": 878.17, "word": " M", "probability": 0.73681640625}, {"start": 878.17, "end": 878.33, "word": " of", "probability": 0.67626953125}, {"start": 878.33, "end": 878.51, "word": " X", "probability": 0.96875}, {"start": 878.51, "end": 878.87, "word": " ناقص", "probability": 0.9010009765625}, {"start": 878.87, "end": 878.99, "word": " Y", "probability": 0.38720703125}, {"start": 878.99, "end": 879.21, "word": " of", "probability": 0.794921875}, {"start": 879.21, "end": 879.77, "word": " X؟", "probability": 0.947265625}], "temperature": 1.0}, {"id": 40, "seek": 90622, "start": 880.32, "end": 906.22, "text": "E M of X اللي هي عبارة عن واحد زائد X زائد X تربيع و هجابل في الطريق من ال X M لأنه M أكبر X تربيع على M فكتوريال زائد X M زائد واحد على M زائد واحد فكتوريال لما أصل الأخر واحدة من X أُس M على M فكتوريال يعني الآن هذي هيكون زي هيك لما أصل طبعا X M زائد واحد على M", "tokens": [36, 376, 295, 1783, 13672, 1829, 39896, 6225, 3555, 9640, 3660, 18871, 36764, 24401, 30767, 16373, 3215, 1783, 30767, 16373, 3215, 1783, 6055, 2288, 21292, 3615, 4032, 8032, 7435, 16758, 1211, 8978, 41950, 16572, 4587, 9154, 2423, 1783, 376, 5296, 33456, 3224, 376, 5551, 4117, 26890, 1783, 6055, 2288, 21292, 3615, 15844, 376, 6156, 4117, 2655, 13063, 1829, 6027, 30767, 16373, 3215, 1783, 376, 30767, 16373, 3215, 36764, 24401, 15844, 376, 30767, 16373, 3215, 36764, 24401, 6156, 4117, 2655, 13063, 1829, 6027, 5296, 15042, 5551, 36520, 16247, 34740, 36764, 24401, 3660, 9154, 1783, 5551, 10859, 3794, 376, 15844, 376, 6156, 4117, 2655, 13063, 1829, 6027, 37495, 22653, 6024, 48506, 8032, 8848, 1829, 39896, 30544, 30767, 1829, 39896, 4117, 5296, 15042, 5551, 36520, 23032, 3555, 3615, 995, 1783, 376, 30767, 16373, 3215, 36764, 24401, 15844, 376], "avg_logprob": -0.19806985469425425, "compression_ratio": 2.1782178217821784, "no_speech_prob": 7.450580596923828e-06, "words": [{"start": 880.32, "end": 880.6, "word": "E", "probability": 0.34521484375}, {"start": 880.6, "end": 880.82, "word": " M", "probability": 0.1981201171875}, {"start": 880.82, "end": 881.02, "word": " of", "probability": 0.744140625}, {"start": 881.02, "end": 881.42, "word": " X", "probability": 0.9765625}, {"start": 881.42, "end": 881.9, "word": " اللي", "probability": 0.51263427734375}, {"start": 881.9, "end": 882.1, "word": " هي", "probability": 0.8857421875}, {"start": 882.1, "end": 882.58, "word": " عبارة", "probability": 0.98779296875}, {"start": 882.58, "end": 882.8, "word": " عن", "probability": 0.99560546875}, {"start": 882.8, "end": 883.24, "word": " واحد", "probability": 0.805419921875}, {"start": 883.24, "end": 883.64, "word": " زائد", "probability": 0.6871337890625}, {"start": 883.64, "end": 883.86, "word": " X", "probability": 0.92578125}, {"start": 883.86, "end": 884.14, "word": " زائد", "probability": 0.9617513020833334}, {"start": 884.14, "end": 884.36, "word": " X", "probability": 0.9892578125}, {"start": 884.36, "end": 884.98, "word": " تربيع", "probability": 0.84283447265625}, {"start": 884.98, "end": 885.52, "word": " و", "probability": 0.459716796875}, {"start": 885.52, "end": 886.12, "word": " هجابل", "probability": 0.780029296875}, {"start": 886.12, "end": 886.24, "word": " في", "probability": 0.87255859375}, {"start": 886.24, "end": 886.76, "word": " الطريق", "probability": 0.9793294270833334}, {"start": 886.76, "end": 887.1, "word": " من", "probability": 0.64892578125}, {"start": 887.1, "end": 887.48, "word": " ال", "probability": 0.67333984375}, {"start": 887.48, "end": 887.68, "word": " X", "probability": 0.623046875}, {"start": 887.68, "end": 887.84, "word": " M", "probability": 0.329833984375}, {"start": 887.84, "end": 888.14, "word": " لأنه", "probability": 0.6800130208333334}, {"start": 888.14, "end": 888.34, "word": " M", "probability": 0.7607421875}, {"start": 888.34, "end": 888.84, "word": " أكبر", "probability": 0.9680989583333334}, {"start": 888.84, "end": 889.36, "word": " X", "probability": 0.9248046875}, {"start": 889.36, "end": 889.72, "word": " تربيع", "probability": 0.93505859375}, {"start": 889.72, "end": 889.84, "word": " على", "probability": 0.71337890625}, {"start": 889.84, "end": 889.96, "word": " M", "probability": 0.564453125}, {"start": 889.96, "end": 890.5, "word": " فكتوريال", "probability": 0.7853800455729166}, {"start": 890.5, "end": 890.94, "word": " زائد", "probability": 0.9632161458333334}, {"start": 890.94, "end": 891.2, "word": " X", "probability": 0.935546875}, {"start": 891.2, "end": 891.38, "word": " M", "probability": 0.8115234375}, {"start": 891.38, "end": 891.74, "word": " زائد", "probability": 0.9772135416666666}, {"start": 891.74, "end": 892.1, "word": " واحد", "probability": 0.974609375}, {"start": 892.1, "end": 892.3, "word": " على", "probability": 0.65576171875}, {"start": 892.3, "end": 892.46, "word": " M", "probability": 0.8681640625}, {"start": 892.46, "end": 892.72, "word": " زائد", "probability": 0.96630859375}, {"start": 892.72, "end": 892.9, "word": " واحد", "probability": 0.988037109375}, {"start": 892.9, "end": 893.34, "word": " فكتوريال", "probability": 0.92333984375}, {"start": 893.34, "end": 893.58, "word": " لما", "probability": 0.86376953125}, {"start": 893.58, "end": 893.84, "word": " أصل", "probability": 0.906494140625}, {"start": 893.84, "end": 894.12, "word": " الأخر", "probability": 0.65478515625}, {"start": 894.12, "end": 894.56, "word": " واحدة", "probability": 0.90087890625}, {"start": 894.56, "end": 895.1, "word": " من", "probability": 0.96630859375}, {"start": 895.1, "end": 895.94, "word": " X", "probability": 0.970703125}, {"start": 895.94, "end": 896.3, "word": " أُس", "probability": 0.6337890625}, {"start": 896.3, "end": 896.64, "word": " M", "probability": 0.96630859375}, {"start": 896.64, "end": 896.9, "word": " على", "probability": 0.884765625}, {"start": 896.9, "end": 897.28, "word": " M", "probability": 0.99560546875}, {"start": 897.28, "end": 898.1, "word": " فكتوريال", "probability": 0.9684244791666666}, {"start": 898.1, "end": 898.78, "word": " يعني", "probability": 0.9384765625}, {"start": 898.78, "end": 899.28, "word": " الآن", "probability": 0.682861328125}, {"start": 899.28, "end": 900.1, "word": " هذي", "probability": 0.5922037760416666}, {"start": 900.1, "end": 900.52, "word": " هيكون", "probability": 0.88623046875}, {"start": 900.52, "end": 900.78, "word": " زي", "probability": 0.98291015625}, {"start": 900.78, "end": 901.38, "word": " هيك", "probability": 0.9287109375}, {"start": 901.38, "end": 902.22, "word": " لما", "probability": 0.963134765625}, {"start": 902.22, "end": 902.6, "word": " أصل", "probability": 0.96435546875}, {"start": 902.6, "end": 903.12, "word": " طبعا", "probability": 0.85760498046875}, {"start": 903.12, "end": 903.4, "word": " X", "probability": 0.85205078125}, {"start": 903.4, "end": 903.72, "word": " M", "probability": 0.826171875}, {"start": 903.72, "end": 904.04, "word": " زائد", "probability": 0.9827473958333334}, {"start": 904.04, "end": 904.56, "word": " واحد", "probability": 0.981689453125}, {"start": 904.56, "end": 905.32, "word": " على", "probability": 0.91455078125}, {"start": 905.32, "end": 906.22, "word": " M", "probability": 0.94580078125}], "temperature": 1.0}, {"id": 41, "seek": 92148, "start": 907.08, "end": 921.48, "text": "زائد واحد factorial زائد لمّا أصل لعند X أُس M على M factorial هذه مين هي هذه عبارة عن ال EM يعني ال EM هتساوي اللي هي E of X", "tokens": [11622, 16373, 3215, 36764, 24401, 36916, 30767, 16373, 3215, 32767, 11703, 995, 5551, 36520, 5296, 3615, 41260, 1783, 5551, 10859, 3794, 376, 15844, 376, 36916, 29538, 3714, 9957, 39896, 29538, 6225, 3555, 9640, 3660, 18871, 2423, 16237, 37495, 22653, 2423, 16237, 8032, 2655, 3794, 995, 45865, 13672, 1829, 39896, 462, 295, 1783], "avg_logprob": -0.26547760558578204, "compression_ratio": 1.4014598540145986, "no_speech_prob": 2.3603439331054688e-05, "words": [{"start": 907.08, "end": 907.66, "word": "زائد", "probability": 0.61962890625}, {"start": 907.66, "end": 908.16, "word": " واحد", "probability": 0.891845703125}, {"start": 908.16, "end": 908.92, "word": " factorial", "probability": 0.51171875}, {"start": 908.92, "end": 909.84, "word": " زائد", "probability": 0.9168294270833334}, {"start": 909.84, "end": 910.14, "word": " لمّا", "probability": 0.7620442708333334}, {"start": 910.14, "end": 910.5, "word": " أصل", "probability": 0.8623046875}, {"start": 910.5, "end": 910.94, "word": " لعند", "probability": 0.77783203125}, {"start": 910.94, "end": 911.34, "word": " X", "probability": 0.396484375}, {"start": 911.34, "end": 911.7, "word": " أُس", "probability": 0.6852213541666666}, {"start": 911.7, "end": 912.02, "word": " M", "probability": 0.87158203125}, {"start": 912.02, "end": 912.62, "word": " على", "probability": 0.77490234375}, {"start": 912.62, "end": 912.96, "word": " M", "probability": 0.962890625}, {"start": 912.96, "end": 913.62, "word": " factorial", "probability": 0.486083984375}, {"start": 913.62, "end": 913.9, "word": " هذه", "probability": 0.296875}, {"start": 913.9, "end": 914.2, "word": " مين", "probability": 0.775390625}, {"start": 914.2, "end": 914.5, "word": " هي", "probability": 0.88134765625}, {"start": 914.5, "end": 915.26, "word": " هذه", "probability": 0.2408447265625}, {"start": 915.26, "end": 915.76, "word": " عبارة", "probability": 0.9908447265625}, {"start": 915.76, "end": 915.94, "word": " عن", "probability": 0.98974609375}, {"start": 915.94, "end": 916.14, "word": " ال", "probability": 0.7626953125}, {"start": 916.14, "end": 916.82, "word": " EM", "probability": 0.444091796875}, {"start": 916.82, "end": 917.96, "word": " يعني", "probability": 0.83642578125}, {"start": 917.96, "end": 918.1, "word": " ال", "probability": 0.93359375}, {"start": 918.1, "end": 918.36, "word": " EM", "probability": 0.95361328125}, {"start": 918.36, "end": 919.18, "word": " هتساوي", "probability": 0.9435546875}, {"start": 919.18, "end": 919.5, "word": " اللي", "probability": 0.903564453125}, {"start": 919.5, "end": 919.74, "word": " هي", "probability": 0.84716796875}, {"start": 919.74, "end": 920.34, "word": " E", "probability": 0.63330078125}, {"start": 920.34, "end": 920.84, "word": " of", "probability": 0.90771484375}, {"start": 920.84, "end": 921.48, "word": " X", "probability": 0.9892578125}], "temperature": 1.0}, {"id": 42, "seek": 95134, "start": 922.76, "end": 951.34, "text": "E N of X زائد المتبقي هذا ��لان حاصل طرح الاتنتين هيكون عبارة عن لإن المفترض ال M أكبر من L زي ما قلنا حاصل طرح اللي هيكون اللي هو المتبقي هذا X N زائد واحد على N زائد واحد فيكتوريال لما أصل ل X M على M إيش فيكتوريال ماشي الحال إذا الأن أوصلنا لحاصل طرح دولة بساوي هذا المقدر نيجي نكمل الأن عندي", "tokens": [36, 426, 295, 1783, 30767, 16373, 3215, 9673, 2655, 3555, 38436, 23758, 2423, 7649, 11331, 33546, 1211, 23032, 2288, 5016, 2423, 9307, 29399, 9957, 39896, 30544, 6225, 3555, 9640, 3660, 18871, 5296, 28814, 1863, 9673, 5172, 2655, 43042, 2423, 376, 5551, 4117, 26890, 9154, 441, 30767, 1829, 19446, 12174, 1211, 8315, 11331, 33546, 1211, 23032, 2288, 5016, 13672, 1829, 39896, 30544, 13672, 1829, 31439, 9673, 2655, 3555, 38436, 23758, 1783, 426, 30767, 16373, 3215, 36764, 24401, 15844, 426, 30767, 16373, 3215, 36764, 24401, 8978, 4117, 2655, 13063, 1829, 6027, 5296, 15042, 5551, 36520, 5296, 1783, 376, 15844, 376, 11933, 1829, 8592, 8978, 4117, 2655, 13063, 1829, 6027, 3714, 33599, 1829, 21542, 6027, 11933, 15730, 16247, 1863, 34051, 36520, 8315, 5296, 5016, 33546, 1211, 23032, 2288, 5016, 11778, 12610, 3660, 4724, 3794, 995, 45865, 23758, 9673, 28543, 2288, 8717, 1829, 7435, 1829, 8717, 24793, 1211, 16247, 1863, 18871, 16254], "avg_logprob": -0.28921980665834157, "compression_ratio": 2.060483870967742, "no_speech_prob": 2.3484230041503906e-05, "words": [{"start": 922.76, "end": 923.14, "word": "E", "probability": 0.11859130859375}, {"start": 923.14, "end": 923.46, "word": " N", "probability": 0.09747314453125}, {"start": 923.46, "end": 923.78, "word": " of", "probability": 0.541015625}, {"start": 923.78, "end": 924.22, "word": " X", "probability": 0.96337890625}, {"start": 924.22, "end": 924.84, "word": " زائد", "probability": 0.7138671875}, {"start": 924.84, "end": 925.46, "word": " المتبقي", "probability": 0.8966064453125}, {"start": 925.46, "end": 925.9, "word": " هذا", "probability": 0.845703125}, {"start": 925.9, "end": 926.6, "word": " الان", "probability": 0.5872802734375}, {"start": 926.6, "end": 927.12, "word": " حاصل", "probability": 0.7277018229166666}, {"start": 927.12, "end": 927.54, "word": " طرح", "probability": 0.8338216145833334}, {"start": 927.54, "end": 928.74, "word": " الاتنتين", "probability": 0.48052978515625}, {"start": 928.74, "end": 930.02, "word": " هيكون", "probability": 0.47265625}, {"start": 930.02, "end": 930.96, "word": " عبارة", "probability": 0.9598388671875}, {"start": 930.96, "end": 931.2, "word": " عن", "probability": 0.98486328125}, {"start": 931.2, "end": 931.64, "word": " لإن", "probability": 0.595947265625}, {"start": 931.64, "end": 932.16, "word": " المفترض", "probability": 0.8260498046875}, {"start": 932.16, "end": 932.3, "word": " ال", "probability": 0.310791015625}, {"start": 932.3, "end": 932.44, "word": " M", "probability": 0.67626953125}, {"start": 932.44, "end": 932.7, "word": " أكبر", "probability": 0.9332682291666666}, {"start": 932.7, "end": 932.82, "word": " من", "probability": 0.8876953125}, {"start": 932.82, "end": 932.92, "word": " L", "probability": 0.1904296875}, {"start": 932.92, "end": 933.1, "word": " زي", "probability": 0.841552734375}, {"start": 933.1, "end": 933.18, "word": " ما", "probability": 0.96240234375}, {"start": 933.18, "end": 933.48, "word": " قلنا", "probability": 0.9039713541666666}, {"start": 933.48, "end": 934.54, "word": " حاصل", "probability": 0.7604166666666666}, {"start": 934.54, "end": 934.78, "word": " طرح", "probability": 0.978515625}, {"start": 934.78, "end": 934.92, "word": " اللي", "probability": 0.6226806640625}, {"start": 934.92, "end": 935.28, "word": " هيكون", "probability": 0.8544921875}, {"start": 935.28, "end": 935.44, "word": " اللي", "probability": 0.8466796875}, {"start": 935.44, "end": 935.6, "word": " هو", "probability": 0.93310546875}, {"start": 935.6, "end": 936.12, "word": " المتبقي", "probability": 0.9752197265625}, {"start": 936.12, "end": 936.66, "word": " هذا", "probability": 0.9296875}, {"start": 936.66, "end": 937.24, "word": " X", "probability": 0.70166015625}, {"start": 937.24, "end": 937.4, "word": " N", "probability": 0.52001953125}, {"start": 937.4, "end": 937.7, "word": " زائد", "probability": 0.9407552083333334}, {"start": 937.7, "end": 938.06, "word": " واحد", "probability": 0.910400390625}, {"start": 938.06, "end": 938.16, "word": " على", "probability": 0.31103515625}, {"start": 938.16, "end": 938.3, "word": " N", "probability": 0.6318359375}, {"start": 938.3, "end": 938.52, "word": " زائد", "probability": 0.8118489583333334}, {"start": 938.52, "end": 938.74, "word": " واحد", "probability": 0.9873046875}, {"start": 938.74, "end": 939.28, "word": " فيكتوريال", "probability": 0.7827962239583334}, {"start": 939.28, "end": 939.46, "word": " لما", "probability": 0.771484375}, {"start": 939.46, "end": 939.7, "word": " أصل", "probability": 0.819091796875}, {"start": 939.7, "end": 939.86, "word": " ل", "probability": 0.40625}, {"start": 939.86, "end": 940.0, "word": " X", "probability": 0.7626953125}, {"start": 940.0, "end": 940.24, "word": " M", "probability": 0.77490234375}, {"start": 940.24, "end": 940.44, "word": " على", "probability": 0.7080078125}, {"start": 940.44, "end": 940.84, "word": " M", "probability": 0.9794921875}, {"start": 940.84, "end": 941.4, "word": " إيش", "probability": 0.6891682942708334}, {"start": 941.4, "end": 942.38, "word": " فيكتوريال", "probability": 0.8960774739583334}, {"start": 942.38, "end": 942.82, "word": " ماشي", "probability": 0.8194173177083334}, {"start": 942.82, "end": 943.18, "word": " الحال", "probability": 0.9697265625}, {"start": 943.18, "end": 943.76, "word": " إذا", "probability": 0.56201171875}, {"start": 943.76, "end": 944.38, "word": " الأن", "probability": 0.724609375}, {"start": 944.38, "end": 945.52, "word": " أوصلنا", "probability": 0.9318033854166666}, {"start": 945.52, "end": 946.0, "word": " لحاصل", "probability": 0.9271240234375}, {"start": 946.0, "end": 946.24, "word": " طرح", "probability": 0.9514973958333334}, {"start": 946.24, "end": 946.62, "word": " دولة", "probability": 0.7542317708333334}, {"start": 946.62, "end": 947.08, "word": " بساوي", "probability": 0.900146484375}, {"start": 947.08, "end": 947.54, "word": " هذا", "probability": 0.92138671875}, {"start": 947.54, "end": 948.52, "word": " المقدر", "probability": 0.85546875}, {"start": 948.52, "end": 949.1, "word": " نيجي", "probability": 0.8858642578125}, {"start": 949.1, "end": 949.5, "word": " نكمل", "probability": 0.9915364583333334}, {"start": 949.5, "end": 949.84, "word": " الأن", "probability": 0.6971435546875}, {"start": 949.84, "end": 951.34, "word": " عندي", "probability": 0.794921875}], "temperature": 1.0}, {"id": 43, "seek": 95846, "start": 953.56, "end": 958.46, "text": "عند ال absolute value لل X أصغر من 100 من A", "tokens": [3615, 41260, 2423, 8236, 2158, 24976, 1783, 5551, 9381, 17082, 2288, 9154, 2319, 9154, 316], "avg_logprob": -0.5092773400247097, "compression_ratio": 0.9206349206349206, "no_speech_prob": 5.185604095458984e-06, "words": [{"start": 953.5600000000001, "end": 954.08, "word": "عند", "probability": 0.34710693359375}, {"start": 954.08, "end": 954.2, "word": " ال", "probability": 0.7880859375}, {"start": 954.2, "end": 954.54, "word": " absolute", "probability": 0.69873046875}, {"start": 954.54, "end": 954.98, "word": " value", "probability": 0.98779296875}, {"start": 954.98, "end": 955.18, "word": " لل", "probability": 0.43701171875}, {"start": 955.18, "end": 955.56, "word": " X", "probability": 0.48681640625}, {"start": 955.56, "end": 957.68, "word": " أصغر", "probability": 0.8958740234375}, {"start": 957.68, "end": 957.8, "word": " من", "probability": 0.9404296875}, {"start": 957.8, "end": 958.06, "word": " 100", "probability": 0.307861328125}, {"start": 958.06, "end": 958.22, "word": " من", "probability": 0.8017578125}, {"start": 958.22, "end": 958.46, "word": " A", "probability": 0.53662109375}], "temperature": 1.0}, {"id": 44, "seek": 99867, "start": 970.59, "end": 998.67, "text": "زائد absolute value زائد xn زائد اتنين على n زائد اتنين factorial زائد لما أصل لأخر واحد x أسم م على m factorial ماشي الحال طيب الآن ان ان كل x من هدولة ال absolute value هي أصغر يساوي منين ايه إذا صار هذا المقدار أصغر أو يساوي هذا المقدار اللي هنا أصغر أو يساوي M", "tokens": [11622, 16373, 3215, 8236, 2158, 30767, 16373, 3215, 2031, 77, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 15844, 297, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 36916, 30767, 16373, 3215, 5296, 15042, 5551, 36520, 5296, 10721, 34740, 36764, 24401, 2031, 5551, 38251, 3714, 15844, 275, 36916, 3714, 33599, 1829, 21542, 6027, 23032, 1829, 3555, 6024, 48506, 16472, 16472, 28242, 2031, 9154, 8032, 3215, 12610, 3660, 2423, 8236, 2158, 39896, 5551, 9381, 17082, 2288, 7251, 3794, 995, 45865, 9154, 9957, 1975, 1829, 3224, 11933, 15730, 20328, 9640, 23758, 9673, 28543, 9640, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 23758, 9673, 28543, 9640, 13672, 1829, 34105, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 376], "avg_logprob": -0.23437500407553127, "compression_ratio": 1.990566037735849, "no_speech_prob": 5.543231964111328e-06, "words": [{"start": 970.5899999999999, "end": 971.43, "word": "زائد", "probability": 0.622802734375}, {"start": 971.43, "end": 972.27, "word": " absolute", "probability": 0.370361328125}, {"start": 972.27, "end": 972.67, "word": " value", "probability": 0.97998046875}, {"start": 972.67, "end": 973.17, "word": " زائد", "probability": 0.8668619791666666}, {"start": 973.17, "end": 974.27, "word": " xn", "probability": 0.4664306640625}, {"start": 974.27, "end": 975.47, "word": " زائد", "probability": 0.8761393229166666}, {"start": 975.47, "end": 975.95, "word": " اتنين", "probability": 0.80322265625}, {"start": 975.95, "end": 976.33, "word": " على", "probability": 0.7373046875}, {"start": 976.33, "end": 976.69, "word": " n", "probability": 0.87890625}, {"start": 976.69, "end": 977.13, "word": " زائد", "probability": 0.9695638020833334}, {"start": 977.13, "end": 977.57, "word": " اتنين", "probability": 0.979248046875}, {"start": 977.57, "end": 978.19, "word": " factorial", "probability": 0.7275390625}, {"start": 978.19, "end": 979.67, "word": " زائد", "probability": 0.984375}, {"start": 979.67, "end": 980.05, "word": " لما", "probability": 0.751708984375}, {"start": 980.05, "end": 980.35, "word": " أصل", "probability": 0.791748046875}, {"start": 980.35, "end": 980.69, "word": " لأخر", "probability": 0.722900390625}, {"start": 980.69, "end": 981.03, "word": " واحد", "probability": 0.994140625}, {"start": 981.03, "end": 981.39, "word": " x", "probability": 0.83544921875}, {"start": 981.39, "end": 981.65, "word": " أسم", "probability": 0.502197265625}, {"start": 981.65, "end": 982.05, "word": " م", "probability": 0.31005859375}, {"start": 982.05, "end": 982.71, "word": " على", "probability": 0.7099609375}, {"start": 982.71, "end": 983.15, "word": " m", "probability": 0.849609375}, {"start": 983.15, "end": 984.15, "word": " factorial", "probability": 0.79345703125}, {"start": 984.15, "end": 984.93, "word": " ماشي", "probability": 0.8720703125}, {"start": 984.93, "end": 985.33, "word": " الحال", "probability": 0.873779296875}, {"start": 985.33, "end": 985.97, "word": " طيب", "probability": 0.9251302083333334}, {"start": 985.97, "end": 986.43, "word": " الآن", "probability": 0.6539306640625}, {"start": 986.43, "end": 986.99, "word": " ان", "probability": 0.495361328125}, {"start": 986.99, "end": 987.15, "word": " ان", "probability": 0.257568359375}, {"start": 987.15, "end": 987.59, "word": " كل", "probability": 0.91357421875}, {"start": 987.59, "end": 987.93, "word": " x", "probability": 0.83203125}, {"start": 987.93, "end": 988.15, "word": " من", "probability": 0.98779296875}, {"start": 988.15, "end": 988.57, "word": " هدولة", "probability": 0.77783203125}, {"start": 988.57, "end": 988.71, "word": " ال", "probability": 0.49951171875}, {"start": 988.71, "end": 988.99, "word": " absolute", "probability": 0.875}, {"start": 988.99, "end": 989.29, "word": " value", "probability": 0.974609375}, {"start": 989.29, "end": 989.51, "word": " هي", "probability": 0.43212890625}, {"start": 989.51, "end": 989.77, "word": " أصغر", "probability": 0.9521484375}, {"start": 989.77, "end": 989.99, "word": " يساوي", "probability": 0.840087890625}, {"start": 989.99, "end": 990.41, "word": " منين", "probability": 0.716552734375}, {"start": 990.41, "end": 990.85, "word": " ايه", "probability": 0.8553059895833334}, {"start": 990.85, "end": 991.27, "word": " إذا", "probability": 0.611083984375}, {"start": 991.27, "end": 991.63, "word": " صار", "probability": 0.84423828125}, {"start": 991.63, "end": 991.81, "word": " هذا", "probability": 0.89453125}, {"start": 991.81, "end": 992.61, "word": " المقدار", "probability": 0.9212239583333334}, {"start": 992.61, "end": 993.83, "word": " أصغر", "probability": 0.9342041015625}, {"start": 993.83, "end": 993.97, "word": " أو", "probability": 0.79833984375}, {"start": 993.97, "end": 994.57, "word": " يساوي", "probability": 0.987060546875}, {"start": 994.57, "end": 995.33, "word": " هذا", "probability": 0.79833984375}, {"start": 995.33, "end": 996.35, "word": " المقدار", "probability": 0.9563802083333334}, {"start": 996.35, "end": 996.49, "word": " اللي", "probability": 0.892578125}, {"start": 996.49, "end": 996.65, "word": " هنا", "probability": 0.287841796875}, {"start": 996.65, "end": 997.09, "word": " أصغر", "probability": 0.968505859375}, {"start": 997.09, "end": 997.21, "word": " أو", "probability": 0.87939453125}, {"start": 997.21, "end": 997.75, "word": " يساوي", "probability": 0.988037109375}, {"start": 997.75, "end": 998.67, "word": " M", "probability": 0.349853515625}], "temperature": 1.0}, {"id": 45, "seek": 102135, "start": 999.13, "end": 1021.35, "text": "زائد واحد على N آسف A أُس N زائد واحد لأن ال absolute value X أصغر تساوي A إذا X N زائد واحد أصغر أو ساوي ال A أُس N زائد واحد على N زائد واحد factorial زائد التاني اللي هو A N زائد اتنين", "tokens": [11622, 16373, 3215, 36764, 24401, 15844, 426, 19753, 3794, 5172, 316, 5551, 10859, 3794, 426, 30767, 16373, 3215, 36764, 24401, 5296, 33456, 2423, 8236, 2158, 1783, 5551, 9381, 17082, 2288, 6055, 3794, 995, 45865, 316, 11933, 15730, 1783, 426, 30767, 16373, 3215, 36764, 24401, 5551, 9381, 17082, 2288, 34051, 8608, 995, 45865, 2423, 316, 5551, 10859, 3794, 426, 30767, 16373, 3215, 36764, 24401, 15844, 426, 30767, 16373, 3215, 36764, 24401, 36916, 30767, 16373, 3215, 16712, 7649, 1829, 13672, 1829, 31439, 316, 426, 30767, 16373, 3215, 1975, 2655, 1863, 9957], "avg_logprob": -0.1674479227926996, "compression_ratio": 1.8271604938271604, "no_speech_prob": 1.6689300537109375e-05, "words": [{"start": 999.13, "end": 999.65, "word": "زائد", "probability": 0.654052734375}, {"start": 999.65, "end": 1000.23, "word": " واحد", "probability": 0.965576171875}, {"start": 1000.23, "end": 1001.17, "word": " على", "probability": 0.55810546875}, {"start": 1001.17, "end": 1001.61, "word": " N", "probability": 0.270751953125}, {"start": 1001.61, "end": 1003.09, "word": " آسف", "probability": 0.7892252604166666}, {"start": 1003.09, "end": 1004.01, "word": " A", "probability": 0.5341796875}, {"start": 1004.01, "end": 1005.03, "word": " أُس", "probability": 0.78369140625}, {"start": 1005.03, "end": 1005.19, "word": " N", "probability": 0.90673828125}, {"start": 1005.19, "end": 1005.55, "word": " زائد", "probability": 0.9371744791666666}, {"start": 1005.55, "end": 1006.07, "word": " واحد", "probability": 0.9775390625}, {"start": 1006.07, "end": 1006.83, "word": " لأن", "probability": 0.81982421875}, {"start": 1006.83, "end": 1006.93, "word": " ال", "probability": 0.451416015625}, {"start": 1006.93, "end": 1007.27, "word": " absolute", "probability": 0.6796875}, {"start": 1007.27, "end": 1007.51, "word": " value", "probability": 0.97216796875}, {"start": 1007.51, "end": 1007.77, "word": " X", "probability": 0.470947265625}, {"start": 1007.77, "end": 1008.03, "word": " أصغر", "probability": 0.98486328125}, {"start": 1008.03, "end": 1008.29, "word": " تساوي", "probability": 0.6788330078125}, {"start": 1008.29, "end": 1008.51, "word": " A", "probability": 0.8837890625}, {"start": 1008.51, "end": 1009.33, "word": " إذا", "probability": 0.688232421875}, {"start": 1009.33, "end": 1009.77, "word": " X", "probability": 0.94921875}, {"start": 1009.77, "end": 1009.97, "word": " N", "probability": 0.410888671875}, {"start": 1009.97, "end": 1010.31, "word": " زائد", "probability": 0.9274088541666666}, {"start": 1010.31, "end": 1010.87, "word": " واحد", "probability": 0.990966796875}, {"start": 1010.87, "end": 1011.47, "word": " أصغر", "probability": 0.9549560546875}, {"start": 1011.47, "end": 1011.61, "word": " أو", "probability": 0.939453125}, {"start": 1011.61, "end": 1012.05, "word": " ساوي", "probability": 0.9375}, {"start": 1012.05, "end": 1012.63, "word": " ال", "probability": 0.5439453125}, {"start": 1012.63, "end": 1012.81, "word": " A", "probability": 0.87646484375}, {"start": 1012.81, "end": 1013.03, "word": " أُس", "probability": 0.8727213541666666}, {"start": 1013.03, "end": 1013.15, "word": " N", "probability": 0.9609375}, {"start": 1013.15, "end": 1013.41, "word": " زائد", "probability": 0.9549153645833334}, {"start": 1013.41, "end": 1013.87, "word": " واحد", "probability": 0.9921875}, {"start": 1013.87, "end": 1014.13, "word": " على", "probability": 0.8427734375}, {"start": 1014.13, "end": 1014.51, "word": " N", "probability": 0.97412109375}, {"start": 1014.51, "end": 1015.75, "word": " زائد", "probability": 0.9812825520833334}, {"start": 1015.75, "end": 1016.15, "word": " واحد", "probability": 0.988037109375}, {"start": 1016.15, "end": 1016.79, "word": " factorial", "probability": 0.7431640625}, {"start": 1016.79, "end": 1018.07, "word": " زائد", "probability": 0.97802734375}, {"start": 1018.07, "end": 1018.59, "word": " التاني", "probability": 0.9479166666666666}, {"start": 1018.59, "end": 1018.73, "word": " اللي", "probability": 0.833984375}, {"start": 1018.73, "end": 1018.93, "word": " هو", "probability": 0.9873046875}, {"start": 1018.93, "end": 1019.33, "word": " A", "probability": 0.95751953125}, {"start": 1019.33, "end": 1020.19, "word": " N", "probability": 0.904296875}, {"start": 1020.19, "end": 1020.87, "word": " زائد", "probability": 0.9762369791666666}, {"start": 1020.87, "end": 1021.35, "word": " اتنين", "probability": 0.954345703125}], "temperature": 1.0}, {"id": 46, "seek": 103549, "start": 1021.81, "end": 1035.49, "text": "على n زائد 2 factorial زائد لما أصل لآخر واحد اللي هو عبارة عن a أس m على m factorial ماشي الحال طيب", "tokens": [3615, 23942, 297, 30767, 16373, 3215, 568, 36916, 30767, 16373, 3215, 5296, 15042, 5551, 36520, 5296, 148, 95, 34740, 36764, 24401, 13672, 1829, 31439, 6225, 3555, 9640, 3660, 18871, 257, 5551, 3794, 275, 15844, 275, 36916, 3714, 33599, 1829, 21542, 6027, 23032, 1829, 3555], "avg_logprob": -0.24635416666666668, "compression_ratio": 1.3025210084033614, "no_speech_prob": 3.814697265625e-06, "words": [{"start": 1021.81, "end": 1022.17, "word": "على", "probability": 0.847900390625}, {"start": 1022.17, "end": 1022.53, "word": " n", "probability": 0.33740234375}, {"start": 1022.53, "end": 1023.05, "word": " زائد", "probability": 0.5992838541666666}, {"start": 1023.05, "end": 1023.49, "word": " 2", "probability": 0.75439453125}, {"start": 1023.49, "end": 1024.31, "word": " factorial", "probability": 0.80322265625}, {"start": 1024.31, "end": 1025.59, "word": " زائد", "probability": 0.9130859375}, {"start": 1025.59, "end": 1025.87, "word": " لما", "probability": 0.762451171875}, {"start": 1025.87, "end": 1026.19, "word": " أصل", "probability": 0.849365234375}, {"start": 1026.19, "end": 1026.59, "word": " لآخر", "probability": 0.80670166015625}, {"start": 1026.59, "end": 1027.13, "word": " واحد", "probability": 0.972900390625}, {"start": 1027.13, "end": 1027.79, "word": " اللي", "probability": 0.80810546875}, {"start": 1027.79, "end": 1027.93, "word": " هو", "probability": 0.927734375}, {"start": 1027.93, "end": 1028.33, "word": " عبارة", "probability": 0.9931640625}, {"start": 1028.33, "end": 1028.57, "word": " عن", "probability": 0.9736328125}, {"start": 1028.57, "end": 1029.13, "word": " a", "probability": 0.61083984375}, {"start": 1029.13, "end": 1030.07, "word": " أس", "probability": 0.43145751953125}, {"start": 1030.07, "end": 1030.55, "word": " m", "probability": 0.65234375}, {"start": 1030.55, "end": 1031.43, "word": " على", "probability": 0.74072265625}, {"start": 1031.43, "end": 1032.23, "word": " m", "probability": 0.8955078125}, {"start": 1032.23, "end": 1033.31, "word": " factorial", "probability": 0.8310546875}, {"start": 1033.31, "end": 1034.47, "word": " ماشي", "probability": 0.8680013020833334}, {"start": 1034.47, "end": 1034.87, "word": " الحال", "probability": 0.939697265625}, {"start": 1034.87, "end": 1035.49, "word": " طيب", "probability": 0.78125}], "temperature": 1.0}, {"id": 47, "seek": 106494, "start": 1037.22, "end": 1064.94, "text": "الان خليني اخد من هدولة ال a n زائد واحد على ال n زائد واحد factorial عامل مشترك قبل ما اصلح هذه الخطوة لسه اه خليني اخد عامل مشترك بيصير عندي a n زائد واحد على n زائد واحد factorial فاش اللي بيضل هنا فيه اللي بيضل هنا واحد زائد هنا بيضل a على n زائد اتنين اكيد زائد اللي بعدها a تربيع على n", "tokens": [6027, 7649, 16490, 1211, 9957, 1829, 1975, 9778, 3215, 9154, 8032, 3215, 12610, 3660, 2423, 257, 297, 30767, 16373, 3215, 36764, 24401, 15844, 2423, 297, 30767, 16373, 3215, 36764, 24401, 36916, 6225, 10943, 1211, 37893, 2655, 31747, 12174, 36150, 19446, 1975, 36520, 5016, 29538, 33962, 9566, 2407, 3660, 5296, 3794, 3224, 1975, 3224, 16490, 1211, 9957, 1829, 1975, 9778, 3215, 6225, 10943, 1211, 37893, 2655, 31747, 4724, 1829, 9381, 13546, 43242, 1829, 257, 297, 30767, 16373, 3215, 36764, 24401, 15844, 297, 30767, 16373, 3215, 36764, 24401, 36916, 6156, 33599, 13672, 1829, 4724, 1829, 11242, 1211, 34105, 8978, 3224, 13672, 1829, 4724, 1829, 11242, 1211, 34105, 36764, 24401, 30767, 16373, 3215, 34105, 4724, 1829, 11242, 1211, 257, 15844, 297, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 1975, 4117, 25708, 30767, 16373, 3215, 13672, 1829, 39182, 11296, 257, 6055, 2288, 21292, 3615, 15844, 297], "avg_logprob": -0.16040209456757232, "compression_ratio": 2.355769230769231, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 1037.22, "end": 1037.72, "word": "الان", "probability": 0.779052734375}, {"start": 1037.72, "end": 1038.32, "word": " خليني", "probability": 0.8729248046875}, {"start": 1038.32, "end": 1038.66, "word": " اخد", "probability": 0.7942708333333334}, {"start": 1038.66, "end": 1038.8, "word": " من", "probability": 0.9853515625}, {"start": 1038.8, "end": 1039.36, "word": " هدولة", "probability": 0.83056640625}, {"start": 1039.36, "end": 1039.58, "word": " ال", "probability": 0.85498046875}, {"start": 1039.58, "end": 1039.7, "word": " a", "probability": 0.2432861328125}, {"start": 1039.7, "end": 1039.88, "word": " n", "probability": 0.5458984375}, {"start": 1039.88, "end": 1040.22, "word": " زائد", "probability": 0.7898763020833334}, {"start": 1040.22, "end": 1040.64, "word": " واحد", "probability": 0.949951171875}, {"start": 1040.64, "end": 1040.88, "word": " على", "probability": 0.54248046875}, {"start": 1040.88, "end": 1041.08, "word": " ال", "probability": 0.9033203125}, {"start": 1041.08, "end": 1041.26, "word": " n", "probability": 0.77197265625}, {"start": 1041.26, "end": 1041.62, "word": " زائد", "probability": 0.9586588541666666}, {"start": 1041.62, "end": 1042.06, "word": " واحد", "probability": 0.990234375}, {"start": 1042.06, "end": 1042.64, "word": " factorial", "probability": 0.61376953125}, {"start": 1042.64, "end": 1042.98, "word": " عامل", "probability": 0.8468424479166666}, {"start": 1042.98, "end": 1043.48, "word": " مشترك", "probability": 0.96484375}, {"start": 1043.48, "end": 1043.9, "word": " قبل", "probability": 0.694580078125}, {"start": 1043.9, "end": 1044.08, "word": " ما", "probability": 0.8974609375}, {"start": 1044.08, "end": 1044.34, "word": " اصلح", "probability": 0.6993815104166666}, {"start": 1044.34, "end": 1044.48, "word": " هذه", "probability": 0.455078125}, {"start": 1044.48, "end": 1044.82, "word": " الخطوة", "probability": 0.94189453125}, {"start": 1044.82, "end": 1045.16, "word": " لسه", "probability": 0.9236653645833334}, {"start": 1045.16, "end": 1045.4, "word": " اه", "probability": 0.57861328125}, {"start": 1045.4, "end": 1046.0, "word": " خليني", "probability": 0.9481201171875}, {"start": 1046.0, "end": 1046.2, "word": " اخد", "probability": 0.86279296875}, {"start": 1046.2, "end": 1046.42, "word": " عامل", "probability": 0.9923502604166666}, {"start": 1046.42, "end": 1046.74, "word": " مشترك", "probability": 0.99169921875}, {"start": 1046.74, "end": 1047.0, "word": " بيصير", "probability": 0.734619140625}, {"start": 1047.0, "end": 1047.36, "word": " عندي", "probability": 0.5465087890625}, {"start": 1047.36, "end": 1047.68, "word": " a", "probability": 0.86181640625}, {"start": 1047.68, "end": 1048.52, "word": " n", "probability": 0.82275390625}, {"start": 1048.52, "end": 1049.12, "word": " زائد", "probability": 0.9749348958333334}, {"start": 1049.12, "end": 1049.66, "word": " واحد", "probability": 0.99267578125}, {"start": 1049.66, "end": 1050.3, "word": " على", "probability": 0.71826171875}, {"start": 1050.3, "end": 1050.52, "word": " n", "probability": 0.87890625}, {"start": 1050.52, "end": 1050.86, "word": " زائد", "probability": 0.9874674479166666}, {"start": 1050.86, "end": 1051.28, "word": " واحد", "probability": 0.9951171875}, {"start": 1051.28, "end": 1051.96, "word": " factorial", "probability": 0.86962890625}, {"start": 1051.96, "end": 1052.76, "word": " فاش", "probability": 0.5184326171875}, {"start": 1052.76, "end": 1052.88, "word": " اللي", "probability": 0.961181640625}, {"start": 1052.88, "end": 1053.18, "word": " بيضل", "probability": 0.817138671875}, {"start": 1053.18, "end": 1053.62, "word": " هنا", "probability": 0.9580078125}, {"start": 1053.62, "end": 1054.36, "word": " فيه", "probability": 0.737060546875}, {"start": 1054.36, "end": 1054.72, "word": " اللي", "probability": 0.9345703125}, {"start": 1054.72, "end": 1055.0, "word": " بيضل", "probability": 0.970703125}, {"start": 1055.0, "end": 1055.14, "word": " هنا", "probability": 0.775390625}, {"start": 1055.14, "end": 1055.78, "word": " واحد", "probability": 0.95068359375}, {"start": 1055.78, "end": 1056.94, "word": " زائد", "probability": 0.9832356770833334}, {"start": 1056.94, "end": 1057.48, "word": " هنا", "probability": 0.8798828125}, {"start": 1057.48, "end": 1057.88, "word": " بيضل", "probability": 0.966552734375}, {"start": 1057.88, "end": 1058.3, "word": " a", "probability": 0.666015625}, {"start": 1058.3, "end": 1059.06, "word": " على", "probability": 0.77197265625}, {"start": 1059.06, "end": 1059.42, "word": " n", "probability": 0.9560546875}, {"start": 1059.42, "end": 1059.92, "word": " زائد", "probability": 0.9886067708333334}, {"start": 1059.92, "end": 1060.4, "word": " اتنين", "probability": 0.906005859375}, {"start": 1060.4, "end": 1061.08, "word": " اكيد", "probability": 0.93212890625}, {"start": 1061.08, "end": 1062.0, "word": " زائد", "probability": 0.9720052083333334}, {"start": 1062.0, "end": 1062.26, "word": " اللي", "probability": 0.97509765625}, {"start": 1062.26, "end": 1062.62, "word": " بعدها", "probability": 0.956787109375}, {"start": 1062.62, "end": 1062.86, "word": " a", "probability": 0.88232421875}, {"start": 1062.86, "end": 1063.66, "word": " تربيع", "probability": 0.9237060546875}, {"start": 1063.66, "end": 1064.08, "word": " على", "probability": 0.919921875}, {"start": 1064.08, "end": 1064.94, "word": " n", "probability": 0.94677734375}], "temperature": 1.0}, {"id": 48, "seek": 108776, "start": 1065.72, "end": 1087.76, "text": "زائد اتنين فان زائد تلاتة زائد لما أصل لآخر واحد مين آخر واحد بشيل منه ان زائد واحد بيصير a أس ام ناقص ان ناقص واحد على اللي بيضل من ان زائد اتنين مضروب لعند ان ام ناقص ان ناقص واحد هذول الأن", "tokens": [11622, 16373, 3215, 1975, 2655, 1863, 9957, 6156, 7649, 30767, 16373, 3215, 6055, 1211, 9307, 3660, 30767, 16373, 3215, 5296, 15042, 5551, 36520, 5296, 148, 95, 34740, 36764, 24401, 3714, 9957, 19753, 34740, 36764, 24401, 4724, 8592, 26895, 9154, 3224, 16472, 30767, 16373, 3215, 36764, 24401, 4724, 1829, 9381, 13546, 257, 5551, 3794, 1975, 2304, 8717, 995, 4587, 9381, 16472, 8717, 995, 4587, 9381, 36764, 24401, 15844, 13672, 1829, 4724, 1829, 11242, 1211, 9154, 16472, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 3714, 11242, 32887, 3555, 5296, 3615, 41260, 16472, 1975, 2304, 8717, 995, 4587, 9381, 16472, 8717, 995, 4587, 9381, 36764, 24401, 8032, 8848, 12610, 16247, 1863], "avg_logprob": -0.18391629151248057, "compression_ratio": 2.159235668789809, "no_speech_prob": 7.271766662597656e-06, "words": [{"start": 1065.72, "end": 1066.28, "word": "زائد", "probability": 0.6153157552083334}, {"start": 1066.28, "end": 1066.94, "word": " اتنين", "probability": 0.8612060546875}, {"start": 1066.94, "end": 1067.52, "word": " فان", "probability": 0.5518798828125}, {"start": 1067.52, "end": 1068.04, "word": " زائد", "probability": 0.9630533854166666}, {"start": 1068.04, "end": 1068.66, "word": " تلاتة", "probability": 0.9495849609375}, {"start": 1068.66, "end": 1069.66, "word": " زائد", "probability": 0.9230143229166666}, {"start": 1069.66, "end": 1070.16, "word": " لما", "probability": 0.839599609375}, {"start": 1070.16, "end": 1070.48, "word": " أصل", "probability": 0.759521484375}, {"start": 1070.48, "end": 1070.96, "word": " لآخر", "probability": 0.8077392578125}, {"start": 1070.96, "end": 1071.54, "word": " واحد", "probability": 0.994873046875}, {"start": 1071.54, "end": 1072.16, "word": " مين", "probability": 0.736572265625}, {"start": 1072.16, "end": 1072.42, "word": " آخر", "probability": 0.8349609375}, {"start": 1072.42, "end": 1072.62, "word": " واحد", "probability": 0.9951171875}, {"start": 1072.62, "end": 1072.98, "word": " بشيل", "probability": 0.8922526041666666}, {"start": 1072.98, "end": 1073.26, "word": " منه", "probability": 0.9638671875}, {"start": 1073.26, "end": 1073.38, "word": " ان", "probability": 0.308837890625}, {"start": 1073.38, "end": 1073.7, "word": " زائد", "probability": 0.95068359375}, {"start": 1073.7, "end": 1073.98, "word": " واحد", "probability": 0.986083984375}, {"start": 1073.98, "end": 1074.4, "word": " بيصير", "probability": 0.8912353515625}, {"start": 1074.4, "end": 1074.94, "word": " a", "probability": 0.39501953125}, {"start": 1074.94, "end": 1075.86, "word": " أس", "probability": 0.4013671875}, {"start": 1075.86, "end": 1076.24, "word": " ام", "probability": 0.62060546875}, {"start": 1076.24, "end": 1077.08, "word": " ناقص", "probability": 0.9339599609375}, {"start": 1077.08, "end": 1077.28, "word": " ان", "probability": 0.5341796875}, {"start": 1077.28, "end": 1077.68, "word": " ناقص", "probability": 0.99169921875}, {"start": 1077.68, "end": 1078.2, "word": " واحد", "probability": 0.98876953125}, {"start": 1078.2, "end": 1079.1, "word": " على", "probability": 0.8076171875}, {"start": 1079.1, "end": 1079.88, "word": " اللي", "probability": 0.9580078125}, {"start": 1079.88, "end": 1080.28, "word": " بيضل", "probability": 0.7862548828125}, {"start": 1080.28, "end": 1080.46, "word": " من", "probability": 0.99365234375}, {"start": 1080.46, "end": 1080.72, "word": " ان", "probability": 0.55322265625}, {"start": 1080.72, "end": 1081.18, "word": " زائد", "probability": 0.9749348958333334}, {"start": 1081.18, "end": 1081.78, "word": " اتنين", "probability": 0.975341796875}, {"start": 1081.78, "end": 1083.0, "word": " مضروب", "probability": 0.9783935546875}, {"start": 1083.0, "end": 1083.44, "word": " لعند", "probability": 0.8527018229166666}, {"start": 1083.44, "end": 1083.9, "word": " ان", "probability": 0.82421875}, {"start": 1083.9, "end": 1084.8, "word": " ام", "probability": 0.910400390625}, {"start": 1084.8, "end": 1085.26, "word": " ناقص", "probability": 0.9954833984375}, {"start": 1085.26, "end": 1085.6, "word": " ان", "probability": 0.88134765625}, {"start": 1085.6, "end": 1086.26, "word": " ناقص", "probability": 0.9947509765625}, {"start": 1086.26, "end": 1086.7, "word": " واحد", "probability": 0.9912109375}, {"start": 1086.7, "end": 1087.38, "word": " هذول", "probability": 0.7763671875}, {"start": 1087.38, "end": 1087.76, "word": " الأن", "probability": 0.60528564453125}], "temperature": 1.0}, {"id": 49, "seek": 110931, "start": 1088.45, "end": 1109.31, "text": "ماشي الحال هذا أخد تمين يا جماعة ماعليش دخل الكلام مع بعضه بس أكيد أنتوا مستوعبين إيش بقول طلعت ال a n زائد واحد على n زائد واحد في كتوريا العام المشترك طلع عندي هذا المقدار الان عندي أكيد ال n زائد اتنين أكبر من مين من ال end فمقلوبه أصغر", "tokens": [2304, 33599, 1829, 21542, 6027, 23758, 5551, 9778, 3215, 46811, 9957, 35186, 10874, 15042, 27884, 19446, 3615, 20292, 8592, 11778, 9778, 1211, 2423, 28820, 10943, 20449, 45030, 11242, 3224, 4724, 3794, 5551, 4117, 25708, 14739, 2655, 14407, 3714, 14851, 45367, 3555, 9957, 11933, 1829, 8592, 4724, 39648, 23032, 1211, 34268, 2423, 257, 297, 30767, 16373, 3215, 36764, 24401, 15844, 297, 30767, 16373, 3215, 36764, 24401, 8978, 9122, 2655, 13063, 25528, 18863, 10943, 9673, 8592, 2655, 31747, 23032, 1211, 3615, 18871, 16254, 23758, 9673, 28543, 9640, 2423, 7649, 18871, 16254, 5551, 4117, 25708, 2423, 297, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 5551, 4117, 26890, 9154, 3714, 9957, 9154, 2423, 917, 6156, 2304, 4587, 1211, 37746, 3224, 5551, 9381, 17082, 2288], "avg_logprob": -0.21448862946723118, "compression_ratio": 1.8304347826086957, "no_speech_prob": 1.4901161193847656e-06, "words": [{"start": 1088.45, "end": 1088.87, "word": "ماشي", "probability": 0.78369140625}, {"start": 1088.87, "end": 1089.25, "word": " الحال", "probability": 0.90576171875}, {"start": 1089.25, "end": 1090.53, "word": " هذا", "probability": 0.32177734375}, {"start": 1090.53, "end": 1090.89, "word": " أخد", "probability": 0.7941080729166666}, {"start": 1090.89, "end": 1091.21, "word": " تمين", "probability": 0.5721435546875}, {"start": 1091.21, "end": 1091.33, "word": " يا", "probability": 0.88427734375}, {"start": 1091.33, "end": 1091.71, "word": " جماعة", "probability": 0.9850260416666666}, {"start": 1091.71, "end": 1092.15, "word": " ماعليش", "probability": 0.74066162109375}, {"start": 1092.15, "end": 1092.57, "word": " دخل", "probability": 0.725341796875}, {"start": 1092.57, "end": 1092.87, "word": " الكلام", "probability": 0.7723795572916666}, {"start": 1092.87, "end": 1092.99, "word": " مع", "probability": 0.7255859375}, {"start": 1092.99, "end": 1093.29, "word": " بعضه", "probability": 0.88671875}, {"start": 1093.29, "end": 1093.47, "word": " بس", "probability": 0.88525390625}, {"start": 1093.47, "end": 1093.83, "word": " أكيد", "probability": 0.8655598958333334}, {"start": 1093.83, "end": 1094.19, "word": " أنتوا", "probability": 0.7620442708333334}, {"start": 1094.19, "end": 1094.97, "word": " مستوعبين", "probability": 0.8876953125}, {"start": 1094.97, "end": 1095.11, "word": " إيش", "probability": 0.7312825520833334}, {"start": 1095.11, "end": 1095.47, "word": " بقول", "probability": 0.91015625}, {"start": 1095.47, "end": 1097.17, "word": " طلعت", "probability": 0.9246419270833334}, {"start": 1097.17, "end": 1097.33, "word": " ال", "probability": 0.9228515625}, {"start": 1097.33, "end": 1097.43, "word": " a", "probability": 0.168212890625}, {"start": 1097.43, "end": 1097.57, "word": " n", "probability": 0.57373046875}, {"start": 1097.57, "end": 1097.87, "word": " زائد", "probability": 0.8341471354166666}, {"start": 1097.87, "end": 1098.13, "word": " واحد", "probability": 0.93896484375}, {"start": 1098.13, "end": 1098.25, "word": " على", "probability": 0.410888671875}, {"start": 1098.25, "end": 1098.39, "word": " n", "probability": 0.71875}, {"start": 1098.39, "end": 1098.61, "word": " زائد", "probability": 0.8937174479166666}, {"start": 1098.61, "end": 1098.77, "word": " واحد", "probability": 0.984375}, {"start": 1098.77, "end": 1098.91, "word": " في", "probability": 0.66943359375}, {"start": 1098.91, "end": 1099.27, "word": " كتوريا", "probability": 0.84271240234375}, {"start": 1099.27, "end": 1099.51, "word": " العام", "probability": 0.9326171875}, {"start": 1099.51, "end": 1100.01, "word": " المشترك", "probability": 0.9873046875}, {"start": 1100.01, "end": 1100.71, "word": " طلع", "probability": 0.9622395833333334}, {"start": 1100.71, "end": 1101.09, "word": " عندي", "probability": 0.804931640625}, {"start": 1101.09, "end": 1101.51, "word": " هذا", "probability": 0.884765625}, {"start": 1101.51, "end": 1102.17, "word": " المقدار", "probability": 0.9244791666666666}, {"start": 1102.17, "end": 1103.23, "word": " الان", "probability": 0.5872802734375}, {"start": 1103.23, "end": 1104.01, "word": " عندي", "probability": 0.8876953125}, {"start": 1104.01, "end": 1104.59, "word": " أكيد", "probability": 0.9231770833333334}, {"start": 1104.59, "end": 1104.75, "word": " ال", "probability": 0.95849609375}, {"start": 1104.75, "end": 1104.89, "word": " n", "probability": 0.66845703125}, {"start": 1104.89, "end": 1105.23, "word": " زائد", "probability": 0.9816080729166666}, {"start": 1105.23, "end": 1105.77, "word": " اتنين", "probability": 0.932861328125}, {"start": 1105.77, "end": 1106.31, "word": " أكبر", "probability": 0.9469401041666666}, {"start": 1106.31, "end": 1106.55, "word": " من", "probability": 0.98779296875}, {"start": 1106.55, "end": 1106.95, "word": " مين", "probability": 0.5921630859375}, {"start": 1106.95, "end": 1107.17, "word": " من", "probability": 0.9140625}, {"start": 1107.17, "end": 1107.35, "word": " ال", "probability": 0.958984375}, {"start": 1107.35, "end": 1107.63, "word": " end", "probability": 0.382080078125}, {"start": 1107.63, "end": 1108.73, "word": " فمقلوبه", "probability": 0.956298828125}, {"start": 1108.73, "end": 1109.31, "word": " أصغر", "probability": 0.986328125}], "temperature": 1.0}, {"id": 50, "seek": 112801, "start": 1109.63, "end": 1128.01, "text": "أه فبصير عندى اللى هو عندى اللى هى هذا المقدار a n على l زائد 2 أصغر أو شاوي a على n و اللى بعده a تربيع أصغر أو شاوي ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا", "tokens": [10721, 3224, 6156, 3555, 9381, 13546, 43242, 7578, 13672, 7578, 31439, 43242, 7578, 13672, 7578, 8032, 7578, 23758, 9673, 28543, 9640, 257, 297, 15844, 287, 30767, 16373, 3215, 568, 5551, 9381, 17082, 2288, 34051, 13412, 995, 45865, 257, 15844, 297, 4032, 13672, 7578, 39182, 3224, 257, 6055, 2288, 21292, 3615, 5551, 9381, 17082, 2288, 34051, 13412, 995, 45865, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975, 1975], "avg_logprob": -0.14458332697550455, "compression_ratio": 5.3538461538461535, "no_speech_prob": 2.086162567138672e-06, "words": [{"start": 1109.63, "end": 1110.09, "word": "أه", "probability": 0.30029296875}, {"start": 1110.09, "end": 1110.91, "word": " فبصير", "probability": 0.874267578125}, {"start": 1110.91, "end": 1111.37, "word": " عندى", "probability": 0.638671875}, {"start": 1111.37, "end": 1111.63, "word": " اللى", "probability": 0.93994140625}, {"start": 1111.63, "end": 1112.05, "word": " هو", "probability": 0.84765625}, {"start": 1112.05, "end": 1113.13, "word": " عندى", "probability": 0.9189453125}, {"start": 1113.13, "end": 1113.41, "word": " اللى", "probability": 0.988525390625}, {"start": 1113.41, "end": 1114.19, "word": " هى", "probability": 0.8759765625}, {"start": 1114.19, "end": 1114.65, "word": " هذا", "probability": 0.81298828125}, {"start": 1114.65, "end": 1115.41, "word": " المقدار", "probability": 0.9532877604166666}, {"start": 1115.41, "end": 1115.63, "word": " a", "probability": 0.279541015625}, {"start": 1115.63, "end": 1115.79, "word": " n", "probability": 0.09246826171875}, {"start": 1115.79, "end": 1115.97, "word": " على", "probability": 0.6787109375}, {"start": 1115.97, "end": 1116.33, "word": " l", "probability": 0.2313232421875}, {"start": 1116.33, "end": 1116.65, "word": " زائد", "probability": 0.65087890625}, {"start": 1116.65, "end": 1117.05, "word": " 2", "probability": 0.6455078125}, {"start": 1117.05, "end": 1117.91, "word": " أصغر", "probability": 0.960693359375}, {"start": 1117.91, "end": 1118.05, "word": " أو", "probability": 0.7939453125}, {"start": 1118.05, "end": 1118.35, "word": " شاوي", "probability": 0.5721028645833334}, {"start": 1118.35, "end": 1118.59, "word": " a", "probability": 0.87060546875}, {"start": 1118.59, "end": 1118.77, "word": " على", "probability": 0.626953125}, {"start": 1118.77, "end": 1119.01, "word": " n", "probability": 0.94580078125}, {"start": 1119.01, "end": 1119.79, "word": " و", "probability": 0.4921875}, {"start": 1119.79, "end": 1119.95, "word": " اللى", "probability": 0.719482421875}, {"start": 1119.95, "end": 1120.29, "word": " بعده", "probability": 0.94384765625}, {"start": 1120.29, "end": 1120.47, "word": " a", "probability": 0.63330078125}, {"start": 1120.47, "end": 1120.83, "word": " تربيع", "probability": 0.8326416015625}, {"start": 1120.83, "end": 1121.21, "word": " أصغر", "probability": 0.945068359375}, {"start": 1121.21, "end": 1121.31, "word": " أو", "probability": 0.88232421875}, {"start": 1121.31, "end": 1121.71, "word": " شاوي", "probability": 0.94384765625}, {"start": 1121.71, "end": 1121.91, "word": " ا", "probability": 0.3037109375}, {"start": 1121.91, "end": 1122.17, "word": " ا", "probability": 0.57958984375}, {"start": 1122.17, "end": 1122.63, "word": " ا", "probability": 0.88525390625}, {"start": 1122.63, "end": 1122.85, "word": " ا", "probability": 0.8857421875}, {"start": 1122.85, "end": 1123.79, "word": " ا", "probability": 0.85546875}, {"start": 1123.79, "end": 1123.79, "word": " ا", "probability": 0.83154296875}, {"start": 1123.79, "end": 1123.81, "word": " ا", "probability": 0.81640625}, {"start": 1123.81, "end": 1123.81, "word": " ا", "probability": 0.8125}, {"start": 1123.81, "end": 1124.19, "word": " ا", "probability": 0.81396484375}, {"start": 1124.19, "end": 1124.21, "word": " ا", "probability": 0.82080078125}, {"start": 1124.21, "end": 1124.21, "word": " ا", "probability": 0.83056640625}, {"start": 1124.21, "end": 1124.21, "word": " ا", "probability": 0.837890625}, {"start": 1124.21, "end": 1124.21, "word": " ا", "probability": 0.84619140625}, {"start": 1124.21, "end": 1124.25, "word": " ا", "probability": 0.85498046875}, {"start": 1124.25, "end": 1124.25, "word": " ا", "probability": 0.85986328125}, {"start": 1124.25, "end": 1124.25, "word": " ا", "probability": 0.865234375}, {"start": 1124.25, "end": 1124.25, "word": " ا", "probability": 0.869140625}, {"start": 1124.25, "end": 1124.25, "word": " ا", "probability": 0.87353515625}, {"start": 1124.25, "end": 1124.25, "word": " ا", "probability": 0.87744140625}, {"start": 1124.25, "end": 1124.25, "word": " ا", "probability": 0.88037109375}, {"start": 1124.25, "end": 1124.25, "word": " ا", "probability": 0.88330078125}, {"start": 1124.25, "end": 1124.25, "word": " ا", "probability": 0.88671875}, {"start": 1124.25, "end": 1124.25, "word": " ا", "probability": 0.88916015625}, {"start": 1124.25, "end": 1124.27, "word": " ا", "probability": 0.8916015625}, {"start": 1124.27, "end": 1124.37, "word": " ا", "probability": 0.8935546875}, {"start": 1124.37, "end": 1124.37, "word": " ا", "probability": 0.89599609375}, {"start": 1124.37, "end": 1124.37, "word": " ا", "probability": 0.89599609375}, {"start": 1124.37, "end": 1124.39, "word": " ا", "probability": 0.8974609375}, {"start": 1124.39, "end": 1124.39, "word": " ا", "probability": 0.90087890625}, {"start": 1124.39, "end": 1124.39, "word": " ا", "probability": 0.90234375}, {"start": 1124.39, "end": 1124.39, "word": " ا", "probability": 0.90283203125}, {"start": 1124.39, "end": 1124.39, "word": " ا", "probability": 0.90478515625}, {"start": 1124.39, "end": 1124.39, "word": " ا", "probability": 0.90576171875}, {"start": 1124.39, "end": 1124.39, "word": " ا", "probability": 0.9072265625}, {"start": 1124.39, "end": 1124.39, "word": " ا", "probability": 0.90771484375}, {"start": 1124.39, "end": 1124.39, "word": " ا", "probability": 0.90966796875}, {"start": 1124.39, "end": 1124.39, "word": " ا", "probability": 0.91015625}, {"start": 1124.39, "end": 1124.41, "word": " ا", "probability": 0.91162109375}, {"start": 1124.41, "end": 1124.41, "word": " ا", "probability": 0.9130859375}, {"start": 1124.41, "end": 1124.41, "word": " ا", "probability": 0.91455078125}, {"start": 1124.41, "end": 1124.41, "word": " ا", "probability": 0.91455078125}, {"start": 1124.41, "end": 1124.41, "word": " ا", "probability": 0.916015625}, {"start": 1124.41, "end": 1124.41, "word": " ا", "probability": 0.91650390625}, {"start": 1124.41, "end": 1124.41, "word": " ا", "probability": 0.91748046875}, {"start": 1124.41, "end": 1124.41, "word": " ا", "probability": 0.91845703125}, {"start": 1124.41, "end": 1124.41, "word": " ا", "probability": 0.919921875}, {"start": 1124.41, "end": 1124.41, "word": " ا", "probability": 0.92138671875}, {"start": 1124.41, "end": 1124.41, "word": " ا", "probability": 0.92236328125}, {"start": 1124.41, "end": 1124.41, "word": " ا", "probability": 0.92333984375}, {"start": 1124.41, "end": 1124.41, "word": " ا", "probability": 0.92333984375}, {"start": 1124.41, "end": 1124.41, "word": " ا", "probability": 0.923828125}, {"start": 1124.41, "end": 1124.41, "word": " ا", "probability": 0.92626953125}, {"start": 1124.41, "end": 1124.41, "word": " ا", "probability": 0.92578125}, {"start": 1124.41, "end": 1124.41, "word": " ا", "probability": 0.92578125}, {"start": 1124.41, "end": 1124.41, "word": " ا", "probability": 0.927734375}, {"start": 1124.41, "end": 1124.41, "word": " ا", "probability": 0.92822265625}, {"start": 1124.41, "end": 1124.41, "word": " ا", "probability": 0.9287109375}, {"start": 1124.41, "end": 1124.41, "word": " ا", "probability": 0.9306640625}, {"start": 1124.41, "end": 1124.41, "word": " ا", "probability": 0.93115234375}, {"start": 1124.41, "end": 1124.41, "word": " ا", "probability": 0.93212890625}, {"start": 1124.41, "end": 1124.41, "word": " ا", "probability": 0.931640625}, {"start": 1124.41, "end": 1124.41, "word": " ا", "probability": 0.9326171875}, {"start": 1124.41, "end": 1124.41, "word": " ا", "probability": 0.93310546875}, {"start": 1124.41, "end": 1124.45, "word": " ا", "probability": 0.93408203125}, {"start": 1124.45, "end": 1124.45, "word": " ا", "probability": 0.9345703125}, {"start": 1124.45, "end": 1124.45, "word": " ا", "probability": 0.9365234375}, {"start": 1124.45, "end": 1124.57, "word": " ا", "probability": 0.9365234375}, {"start": 1124.57, "end": 1124.57, "word": " ا", "probability": 0.9375}, {"start": 1124.57, "end": 1124.57, "word": " ا", "probability": 0.93798828125}, {"start": 1124.57, "end": 1124.57, "word": " ا", "probability": 0.9384765625}, {"start": 1124.57, "end": 1124.57, "word": " ا", "probability": 0.93896484375}, {"start": 1124.57, "end": 1124.57, "word": " ا", "probability": 0.9384765625}, {"start": 1124.57, "end": 1124.57, "word": " ا", "probability": 0.9404296875}, {"start": 1124.57, "end": 1124.57, "word": " ا", "probability": 0.94091796875}, {"start": 1124.57, "end": 1124.57, "word": " ا", "probability": 0.94189453125}, {"start": 1124.57, "end": 1124.57, "word": " ا", "probability": 0.94091796875}, {"start": 1124.57, "end": 1125.09, "word": " ا", "probability": 0.94189453125}, {"start": 1125.09, "end": 1125.09, "word": " ا", "probability": 0.9423828125}, {"start": 1125.09, "end": 1125.09, "word": " ا", "probability": 0.943359375}, {"start": 1125.09, "end": 1125.09, "word": " ا", "probability": 0.94384765625}, {"start": 1125.09, "end": 1125.09, "word": " ا", "probability": 0.9443359375}, {"start": 1125.09, "end": 1125.09, "word": " ا", "probability": 0.9443359375}, {"start": 1125.09, "end": 1126.01, "word": " ا", "probability": 0.9453125}, {"start": 1126.01, "end": 1126.01, "word": " ا", "probability": 0.9443359375}, {"start": 1126.01, "end": 1126.01, "word": " ا", "probability": 0.94580078125}, {"start": 1126.01, "end": 1126.01, "word": " ا", "probability": 0.94580078125}, {"start": 1126.01, "end": 1126.01, "word": " ا", "probability": 0.947265625}, {"start": 1126.01, "end": 1126.01, "word": " ا", "probability": 0.947265625}, {"start": 1126.01, "end": 1126.01, "word": " ا", "probability": 0.947265625}, {"start": 1126.01, "end": 1126.01, "word": " ا", "probability": 0.947265625}, {"start": 1126.01, "end": 1126.01, "word": " ا", "probability": 0.9482421875}, {"start": 1126.01, "end": 1126.01, "word": " ا", "probability": 0.9482421875}, {"start": 1126.01, "end": 1126.01, "word": " ا", "probability": 0.9482421875}, {"start": 1126.01, "end": 1126.01, "word": " ا", "probability": 0.94873046875}, {"start": 1126.01, "end": 1126.01, "word": " ا", "probability": 0.94873046875}, {"start": 1126.01, "end": 1126.01, "word": " ا", "probability": 0.94921875}, {"start": 1126.01, "end": 1126.01, "word": " ا", "probability": 0.94970703125}, {"start": 1126.01, "end": 1126.01, "word": " ا", "probability": 0.94921875}, {"start": 1126.01, "end": 1126.01, "word": " ا", "probability": 0.94921875}, {"start": 1126.01, "end": 1126.01, "word": " ا", "probability": 0.94970703125}, {"start": 1126.01, "end": 1126.01, "word": " ا", "probability": 0.9501953125}, {"start": 1126.01, "end": 1126.01, "word": " ا", "probability": 0.951171875}, {"start": 1126.01, "end": 1126.01, "word": " ا", "probability": 0.951171875}, {"start": 1126.01, "end": 1126.01, "word": " ا", "probability": 0.95068359375}, {"start": 1126.01, "end": 1126.01, "word": " ا", "probability": 0.9501953125}, {"start": 1126.01, "end": 1126.01, "word": " ا", "probability": 0.95068359375}, {"start": 1126.01, "end": 1126.01, "word": " ا", "probability": 0.951171875}, {"start": 1126.01, "end": 1126.03, "word": " ا", "probability": 0.951171875}, {"start": 1126.03, "end": 1126.03, "word": " ا", "probability": 0.951171875}, {"start": 1126.03, "end": 1126.03, "word": " ا", "probability": 0.9521484375}, {"start": 1126.03, "end": 1126.03, "word": " ا", "probability": 0.9521484375}, {"start": 1126.03, "end": 1126.03, "word": " ا", "probability": 0.95166015625}, {"start": 1126.03, "end": 1126.03, "word": " ا", "probability": 0.95166015625}, {"start": 1126.03, "end": 1126.03, "word": " ا", "probability": 0.95263671875}, {"start": 1126.03, "end": 1126.03, "word": " ا", "probability": 0.95166015625}, {"start": 1126.03, "end": 1126.03, "word": " ا", "probability": 0.9521484375}, {"start": 1126.03, "end": 1126.03, "word": " ا", "probability": 0.95263671875}, {"start": 1126.03, "end": 1126.07, "word": " ا", "probability": 0.953125}, {"start": 1126.07, "end": 1126.07, "word": " ا", "probability": 0.95263671875}, {"start": 1126.07, "end": 1127.73, "word": " ا", "probability": 0.95263671875}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.95263671875}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.9521484375}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.95166015625}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.95166015625}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.951171875}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.951171875}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.9521484375}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.95166015625}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.95166015625}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.95068359375}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.951171875}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.951171875}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.951171875}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.95068359375}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.9501953125}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.9501953125}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.95068359375}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.94921875}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.94921875}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.94775390625}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.94873046875}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.9482421875}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.94775390625}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.94775390625}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.9482421875}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.947265625}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.947265625}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.94580078125}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.94482421875}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.94580078125}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.94384765625}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.94384765625}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.943359375}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.943359375}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.94287109375}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.943359375}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.94189453125}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.94189453125}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.9404296875}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.93994140625}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.9423828125}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.9423828125}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.9482421875}, {"start": 1127.73, "end": 1127.73, "word": " ا", "probability": 0.9423828125}, {"start": 1127.73, "end": 1128.01, "word": " ا", "probability": 0.94287109375}, {"start": 1128.01, "end": 1128.01, "word": " ا", "probability": 0.94091796875}], "temperature": 1.0}, {"id": 51, "seek": 114390, "start": 1131.32, "end": 1143.9, "text": "أكبر من أنه وهذه أكبر من أنه فمقلوبهم بيصير هذا المقدار أصغر اللي هو أو يساوي المقدار اللي بعده بيصير عندى هذا المقدار", "tokens": [10721, 4117, 26890, 9154, 14739, 3224, 37037, 24192, 5551, 4117, 26890, 9154, 14739, 3224, 6156, 2304, 4587, 1211, 37746, 16095, 4724, 1829, 9381, 13546, 23758, 9673, 28543, 9640, 5551, 9381, 17082, 2288, 13672, 1829, 31439, 34051, 7251, 3794, 995, 45865, 9673, 28543, 9640, 13672, 1829, 39182, 3224, 4724, 1829, 9381, 13546, 43242, 7578, 23758, 9673, 28543, 9640], "avg_logprob": -0.16514008594997998, "compression_ratio": 1.829059829059829, "no_speech_prob": 9.119510650634766e-06, "words": [{"start": 1131.32, "end": 1131.88, "word": "أكبر", "probability": 0.8614908854166666}, {"start": 1131.88, "end": 1132.08, "word": " من", "probability": 0.951171875}, {"start": 1132.08, "end": 1132.38, "word": " أنه", "probability": 0.60400390625}, {"start": 1132.38, "end": 1132.66, "word": " وهذه", "probability": 0.30133056640625}, {"start": 1132.66, "end": 1132.98, "word": " أكبر", "probability": 0.9274088541666666}, {"start": 1132.98, "end": 1133.14, "word": " من", "probability": 0.99365234375}, {"start": 1133.14, "end": 1133.6, "word": " أنه", "probability": 0.9267578125}, {"start": 1133.6, "end": 1134.64, "word": " فمقلوبهم", "probability": 0.9098307291666666}, {"start": 1134.64, "end": 1135.02, "word": " بيصير", "probability": 0.8006591796875}, {"start": 1135.02, "end": 1135.38, "word": " هذا", "probability": 0.86865234375}, {"start": 1135.38, "end": 1135.96, "word": " المقدار", "probability": 0.97216796875}, {"start": 1135.96, "end": 1136.94, "word": " أصغر", "probability": 0.941162109375}, {"start": 1136.94, "end": 1137.26, "word": " اللي", "probability": 0.751220703125}, {"start": 1137.26, "end": 1137.6, "word": " هو", "probability": 0.98974609375}, {"start": 1137.6, "end": 1138.56, "word": " أو", "probability": 0.71044921875}, {"start": 1138.56, "end": 1139.18, "word": " يساوي", "probability": 0.9608154296875}, {"start": 1139.18, "end": 1140.16, "word": " المقدار", "probability": 0.9737955729166666}, {"start": 1140.16, "end": 1140.46, "word": " اللي", "probability": 0.97412109375}, {"start": 1140.46, "end": 1140.98, "word": " بعده", "probability": 0.935791015625}, {"start": 1140.98, "end": 1141.94, "word": " بيصير", "probability": 0.961181640625}, {"start": 1141.94, "end": 1142.44, "word": " عندى", "probability": 0.585693359375}, {"start": 1142.44, "end": 1142.9, "word": " هذا", "probability": 0.93505859375}, {"start": 1142.9, "end": 1143.9, "word": " المقدار", "probability": 0.98095703125}], "temperature": 1.0}, {"id": 52, "seek": 116449, "start": 1144.87, "end": 1164.49, "text": "أصغر أو يساوي هذا زي ما هو و هذه واحد هذه a على n لأنها هتكون أكبر a تربيع على n تربيع ان تربيع هتكبر لما أصل ل a m minus n نقص واحد على m minus n نقص واحد لأن هنا دولة عددهم", "tokens": [10721, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 23758, 30767, 1829, 19446, 31439, 4032, 29538, 36764, 24401, 29538, 257, 15844, 297, 5296, 33456, 11296, 8032, 2655, 30544, 5551, 4117, 26890, 257, 6055, 2288, 21292, 3615, 15844, 297, 6055, 2288, 21292, 3615, 16472, 6055, 2288, 21292, 3615, 8032, 2655, 4117, 26890, 5296, 15042, 5551, 36520, 5296, 257, 275, 3175, 297, 8717, 4587, 9381, 36764, 24401, 15844, 275, 3175, 297, 8717, 4587, 9381, 36764, 24401, 5296, 33456, 34105, 11778, 12610, 3660, 6225, 3215, 3215, 16095], "avg_logprob": -0.25073528009302476, "compression_ratio": 1.8101265822784811, "no_speech_prob": 1.0967254638671875e-05, "words": [{"start": 1144.87, "end": 1145.39, "word": "أصغر", "probability": 0.8714599609375}, {"start": 1145.39, "end": 1145.53, "word": " أو", "probability": 0.8251953125}, {"start": 1145.53, "end": 1146.07, "word": " يساوي", "probability": 0.976806640625}, {"start": 1146.07, "end": 1146.31, "word": " هذا", "probability": 0.2734375}, {"start": 1146.31, "end": 1146.55, "word": " زي", "probability": 0.93603515625}, {"start": 1146.55, "end": 1146.63, "word": " ما", "probability": 0.966796875}, {"start": 1146.63, "end": 1147.03, "word": " هو", "probability": 0.9951171875}, {"start": 1147.03, "end": 1147.73, "word": " و", "probability": 0.27099609375}, {"start": 1147.73, "end": 1147.97, "word": " هذه", "probability": 0.4287109375}, {"start": 1147.97, "end": 1148.63, "word": " واحد", "probability": 0.856689453125}, {"start": 1148.63, "end": 1149.25, "word": " هذه", "probability": 0.72607421875}, {"start": 1149.25, "end": 1149.51, "word": " a", "probability": 0.50732421875}, {"start": 1149.51, "end": 1149.71, "word": " على", "probability": 0.54931640625}, {"start": 1149.71, "end": 1149.93, "word": " n", "probability": 0.80224609375}, {"start": 1149.93, "end": 1150.53, "word": " لأنها", "probability": 0.8680013020833334}, {"start": 1150.53, "end": 1151.25, "word": " هتكون", "probability": 0.8738606770833334}, {"start": 1151.25, "end": 1151.83, "word": " أكبر", "probability": 0.9220377604166666}, {"start": 1151.83, "end": 1152.53, "word": " a", "probability": 0.64453125}, {"start": 1152.53, "end": 1153.35, "word": " تربيع", "probability": 0.8917236328125}, {"start": 1153.35, "end": 1153.67, "word": " على", "probability": 0.7724609375}, {"start": 1153.67, "end": 1154.03, "word": " n", "probability": 0.90087890625}, {"start": 1154.03, "end": 1154.71, "word": " تربيع", "probability": 0.9298095703125}, {"start": 1154.71, "end": 1155.05, "word": " ان", "probability": 0.12042236328125}, {"start": 1155.05, "end": 1155.51, "word": " تربيع", "probability": 0.9228515625}, {"start": 1155.51, "end": 1156.09, "word": " هتكبر", "probability": 0.9107666015625}, {"start": 1156.09, "end": 1156.75, "word": " لما", "probability": 0.92041015625}, {"start": 1156.75, "end": 1157.17, "word": " أصل", "probability": 0.881591796875}, {"start": 1157.17, "end": 1157.41, "word": " ل", "probability": 0.77978515625}, {"start": 1157.41, "end": 1157.63, "word": " a", "probability": 0.53125}, {"start": 1157.63, "end": 1158.03, "word": " m", "probability": 0.4365234375}, {"start": 1158.03, "end": 1158.57, "word": " minus", "probability": 0.5322265625}, {"start": 1158.57, "end": 1158.83, "word": " n", "probability": 0.81884765625}, {"start": 1158.83, "end": 1159.17, "word": " نقص", "probability": 0.88427734375}, {"start": 1159.17, "end": 1159.65, "word": " واحد", "probability": 0.977783203125}, {"start": 1159.65, "end": 1160.27, "word": " على", "probability": 0.83203125}, {"start": 1160.27, "end": 1160.59, "word": " m", "probability": 0.177734375}, {"start": 1160.59, "end": 1161.33, "word": " minus", "probability": 0.91455078125}, {"start": 1161.33, "end": 1161.63, "word": " n", "probability": 0.78759765625}, {"start": 1161.63, "end": 1161.99, "word": " نقص", "probability": 0.9749348958333334}, {"start": 1161.99, "end": 1162.47, "word": " واحد", "probability": 0.987060546875}, {"start": 1162.47, "end": 1163.13, "word": " لأن", "probability": 0.78076171875}, {"start": 1163.13, "end": 1163.29, "word": " هنا", "probability": 0.289794921875}, {"start": 1163.29, "end": 1163.77, "word": " دولة", "probability": 0.79541015625}, {"start": 1163.77, "end": 1164.49, "word": " عددهم", "probability": 0.84375}], "temperature": 1.0}, {"id": 53, "seek": 118498, "start": 1164.98, "end": 1184.98, "text": "ن نقص واحد من الانز هيكون ان طبعا استبدالت كل واحدة بان فهيطلع بالشكل هذا وبتظل ال inequality صحيحة خلصنا من هذا طيب دعونا نشوف كيف أضبح لكم هذا دعونا نخلص منه نجي الآن اللي هو نرجع", "tokens": [1863, 8717, 4587, 9381, 36764, 24401, 9154, 2423, 7649, 11622, 8032, 1829, 30544, 16472, 23032, 3555, 3615, 995, 44713, 44510, 6027, 2655, 28242, 36764, 24401, 3660, 4724, 7649, 6156, 3224, 1829, 9566, 1211, 3615, 20666, 8592, 28820, 23758, 46599, 2655, 19913, 1211, 2423, 16970, 20328, 5016, 1829, 5016, 3660, 16490, 1211, 9381, 8315, 9154, 23758, 23032, 1829, 3555, 11778, 3615, 2407, 8315, 8717, 8592, 38688, 9122, 33911, 5551, 11242, 3555, 5016, 5296, 24793, 23758, 11778, 3615, 2407, 8315, 8717, 9778, 1211, 9381, 9154, 3224, 8717, 7435, 1829, 6024, 48506, 13672, 1829, 31439, 8717, 47341, 3615], "avg_logprob": -0.31429035123437643, "compression_ratio": 1.6205128205128205, "no_speech_prob": 3.6776065826416016e-05, "words": [{"start": 1164.98, "end": 1165.42, "word": "ن", "probability": 0.1331787109375}, {"start": 1165.42, "end": 1166.7, "word": " نقص", "probability": 0.6654459635416666}, {"start": 1166.7, "end": 1167.12, "word": " واحد", "probability": 0.77392578125}, {"start": 1167.12, "end": 1167.36, "word": " من", "probability": 0.931640625}, {"start": 1167.36, "end": 1167.96, "word": " الانز", "probability": 0.6668294270833334}, {"start": 1167.96, "end": 1168.76, "word": " هيكون", "probability": 0.49560546875}, {"start": 1168.76, "end": 1168.94, "word": " ان", "probability": 0.29541015625}, {"start": 1168.94, "end": 1169.22, "word": " طبعا", "probability": 0.81134033203125}, {"start": 1169.22, "end": 1169.76, "word": " استبدالت", "probability": 0.940673828125}, {"start": 1169.76, "end": 1169.9, "word": " كل", "probability": 0.93994140625}, {"start": 1169.9, "end": 1170.2, "word": " واحدة", "probability": 0.9132486979166666}, {"start": 1170.2, "end": 1170.52, "word": " بان", "probability": 0.826416015625}, {"start": 1170.52, "end": 1171.38, "word": " فهيطلع", "probability": 0.82208251953125}, {"start": 1171.38, "end": 1171.82, "word": " بالشكل", "probability": 0.8880208333333334}, {"start": 1171.82, "end": 1172.1, "word": " هذا", "probability": 0.900390625}, {"start": 1172.1, "end": 1172.56, "word": " وبتظل", "probability": 0.6943359375}, {"start": 1172.56, "end": 1172.72, "word": " ال", "probability": 0.39453125}, {"start": 1172.72, "end": 1173.08, "word": " inequality", "probability": 0.425048828125}, {"start": 1173.08, "end": 1174.4, "word": " صحيحة", "probability": 0.97197265625}, {"start": 1174.4, "end": 1175.16, "word": " خلصنا", "probability": 0.908935546875}, {"start": 1175.16, "end": 1175.3, "word": " من", "probability": 0.98828125}, {"start": 1175.3, "end": 1175.62, "word": " هذا", "probability": 0.97216796875}, {"start": 1175.62, "end": 1176.02, "word": " طيب", "probability": 0.87451171875}, {"start": 1176.02, "end": 1176.46, "word": " دعونا", "probability": 0.6068115234375}, {"start": 1176.46, "end": 1176.86, "word": " نشوف", "probability": 0.9783528645833334}, {"start": 1176.86, "end": 1177.1, "word": " كيف", "probability": 0.95556640625}, {"start": 1177.1, "end": 1177.36, "word": " أضبح", "probability": 0.6334228515625}, {"start": 1177.36, "end": 1177.68, "word": " لكم", "probability": 0.80322265625}, {"start": 1177.68, "end": 1178.08, "word": " هذا", "probability": 0.96240234375}, {"start": 1178.08, "end": 1178.54, "word": " دعونا", "probability": 0.7276611328125}, {"start": 1178.54, "end": 1178.92, "word": " نخلص", "probability": 0.8624267578125}, {"start": 1178.92, "end": 1179.48, "word": " منه", "probability": 0.829345703125}, {"start": 1179.48, "end": 1181.38, "word": " نجي", "probability": 0.6228434244791666}, {"start": 1181.38, "end": 1181.86, "word": " الآن", "probability": 0.702392578125}, {"start": 1181.86, "end": 1183.26, "word": " اللي", "probability": 0.89794921875}, {"start": 1183.26, "end": 1183.68, "word": " هو", "probability": 0.98974609375}, {"start": 1183.68, "end": 1184.98, "word": " نرجع", "probability": 0.9773763020833334}], "temperature": 1.0}, {"id": 54, "seek": 121293, "start": 1185.59, "end": 1212.93, "text": "انكمل الحسبة هذا الان المقدار عندى اللى هو المقدار هذا هيه اتطلعوا عندى ال a ال a على n ايش انا ماخد ال n ماخد ال n اكبر من مين من اتنين a يعني ال a اصغر من n على مين", "tokens": [7649, 24793, 1211, 21542, 35457, 3660, 23758, 2423, 7649, 9673, 28543, 9640, 43242, 7578, 13672, 7578, 31439, 9673, 28543, 9640, 23758, 39896, 3224, 1975, 2655, 9566, 1211, 3615, 14407, 43242, 7578, 2423, 257, 2423, 257, 15844, 297, 1975, 1829, 8592, 1975, 8315, 3714, 47283, 3215, 2423, 297, 3714, 47283, 3215, 2423, 297, 1975, 4117, 26890, 9154, 3714, 9957, 9154, 1975, 2655, 1863, 9957, 257, 37495, 22653, 2423, 257, 1975, 9381, 17082, 2288, 9154, 297, 15844, 3714, 9957], "avg_logprob": -0.31810897779770386, "compression_ratio": 1.9189189189189189, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1185.59, "end": 1186.43, "word": "انكمل", "probability": 0.6836751302083334}, {"start": 1186.43, "end": 1188.05, "word": " الحسبة", "probability": 0.70361328125}, {"start": 1188.05, "end": 1188.77, "word": " هذا", "probability": 0.1982421875}, {"start": 1188.77, "end": 1189.19, "word": " الان", "probability": 0.666259765625}, {"start": 1189.19, "end": 1190.21, "word": " المقدار", "probability": 0.9462890625}, {"start": 1190.21, "end": 1191.49, "word": " عندى", "probability": 0.3880615234375}, {"start": 1191.49, "end": 1191.77, "word": " اللى", "probability": 0.848876953125}, {"start": 1191.77, "end": 1192.61, "word": " هو", "probability": 0.822265625}, {"start": 1192.61, "end": 1195.59, "word": " المقدار", "probability": 0.81884765625}, {"start": 1195.59, "end": 1195.89, "word": " هذا", "probability": 0.65283203125}, {"start": 1195.89, "end": 1196.61, "word": " هيه", "probability": 0.7705078125}, {"start": 1196.61, "end": 1197.67, "word": " اتطلعوا", "probability": 0.7817789713541666}, {"start": 1197.67, "end": 1198.67, "word": " عندى", "probability": 0.917724609375}, {"start": 1198.67, "end": 1199.81, "word": " ال", "probability": 0.578125}, {"start": 1199.81, "end": 1200.85, "word": " a", "probability": 0.537109375}, {"start": 1200.85, "end": 1202.27, "word": " ال", "probability": 0.258056640625}, {"start": 1202.27, "end": 1202.53, "word": " a", "probability": 0.90478515625}, {"start": 1202.53, "end": 1202.79, "word": " على", "probability": 0.8173828125}, {"start": 1202.79, "end": 1203.25, "word": " n", "probability": 0.341552734375}, {"start": 1203.25, "end": 1204.77, "word": " ايش", "probability": 0.5675048828125}, {"start": 1204.77, "end": 1204.91, "word": " انا", "probability": 0.701416015625}, {"start": 1204.91, "end": 1205.19, "word": " ماخد", "probability": 0.8854166666666666}, {"start": 1205.19, "end": 1205.33, "word": " ال", "probability": 0.984375}, {"start": 1205.33, "end": 1205.59, "word": " n", "probability": 0.7333984375}, {"start": 1205.59, "end": 1206.45, "word": " ماخد", "probability": 0.807861328125}, {"start": 1206.45, "end": 1206.57, "word": " ال", "probability": 0.97802734375}, {"start": 1206.57, "end": 1206.71, "word": " n", "probability": 0.931640625}, {"start": 1206.71, "end": 1207.07, "word": " اكبر", "probability": 0.8722330729166666}, {"start": 1207.07, "end": 1207.29, "word": " من", "probability": 0.97412109375}, {"start": 1207.29, "end": 1207.67, "word": " مين", "probability": 0.7261962890625}, {"start": 1207.67, "end": 1207.91, "word": " من", "probability": 0.48388671875}, {"start": 1207.91, "end": 1208.33, "word": " اتنين", "probability": 0.87548828125}, {"start": 1208.33, "end": 1208.63, "word": " a", "probability": 0.83544921875}, {"start": 1208.63, "end": 1209.59, "word": " يعني", "probability": 0.826904296875}, {"start": 1209.59, "end": 1209.85, "word": " ال", "probability": 0.931640625}, {"start": 1209.85, "end": 1210.37, "word": " a", "probability": 0.95849609375}, {"start": 1210.37, "end": 1211.39, "word": " اصغر", "probability": 0.896240234375}, {"start": 1211.39, "end": 1211.63, "word": " من", "probability": 0.99267578125}, {"start": 1211.63, "end": 1212.03, "word": " n", "probability": 0.9130859375}, {"start": 1212.03, "end": 1212.27, "word": " على", "probability": 0.81982421875}, {"start": 1212.27, "end": 1212.93, "word": " مين", "probability": 0.9775390625}], "temperature": 1.0}, {"id": 55, "seek": 123690, "start": 1213.68, "end": 1236.9, "text": "على اتنين مظبوط ال A أصغر من N على اتنين واضحة جسم ال N على اتنين و N على اتنين صارت N على اتنين أكبر من مين من ايه بدي استخدمها الآن هذه ال N بصير أصغر أو يساوي هذا المقدار بصير أصغر أو يساوي هذا بحكي عن هذا بصير أصغر أو يساوي اللي هو A", "tokens": [3615, 23942, 1975, 2655, 1863, 9957, 3714, 19913, 3555, 2407, 9566, 2423, 316, 5551, 9381, 17082, 2288, 9154, 426, 15844, 1975, 2655, 1863, 9957, 4032, 46958, 5016, 3660, 10874, 38251, 2423, 426, 15844, 1975, 2655, 1863, 9957, 4032, 426, 15844, 1975, 2655, 1863, 9957, 20328, 9640, 2655, 426, 15844, 1975, 2655, 1863, 9957, 5551, 4117, 26890, 9154, 3714, 9957, 9154, 1975, 1829, 3224, 4724, 16254, 44713, 9778, 40448, 11296, 6024, 48506, 29538, 2423, 426, 4724, 9381, 13546, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 23758, 9673, 28543, 9640, 4724, 9381, 13546, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 23758, 4724, 5016, 4117, 1829, 18871, 23758, 4724, 9381, 13546, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 13672, 1829, 31439, 316], "avg_logprob": -0.22048611075632155, "compression_ratio": 2.409356725146199, "no_speech_prob": 6.079673767089844e-05, "words": [{"start": 1213.68, "end": 1214.06, "word": "على", "probability": 0.77099609375}, {"start": 1214.06, "end": 1214.5, "word": " اتنين", "probability": 0.82427978515625}, {"start": 1214.5, "end": 1215.3, "word": " مظبوط", "probability": 0.7830322265625}, {"start": 1215.3, "end": 1216.18, "word": " ال", "probability": 0.8564453125}, {"start": 1216.18, "end": 1216.58, "word": " A", "probability": 0.23046875}, {"start": 1216.58, "end": 1217.42, "word": " أصغر", "probability": 0.959228515625}, {"start": 1217.42, "end": 1217.64, "word": " من", "probability": 0.98681640625}, {"start": 1217.64, "end": 1218.04, "word": " N", "probability": 0.8017578125}, {"start": 1218.04, "end": 1219.3, "word": " ع��ى", "probability": 0.896484375}, {"start": 1219.3, "end": 1220.22, "word": " اتنين", "probability": 0.963623046875}, {"start": 1220.22, "end": 1221.06, "word": " واضحة", "probability": 0.774658203125}, {"start": 1221.06, "end": 1221.9, "word": " جسم", "probability": 0.72314453125}, {"start": 1221.9, "end": 1222.06, "word": " ال", "probability": 0.2044677734375}, {"start": 1222.06, "end": 1222.24, "word": " N", "probability": 0.462646484375}, {"start": 1222.24, "end": 1222.46, "word": " على", "probability": 0.91796875}, {"start": 1222.46, "end": 1222.92, "word": " اتنين", "probability": 0.9603271484375}, {"start": 1222.92, "end": 1223.04, "word": " و", "probability": 0.73193359375}, {"start": 1223.04, "end": 1223.2, "word": " N", "probability": 0.47900390625}, {"start": 1223.2, "end": 1223.4, "word": " على", "probability": 0.92724609375}, {"start": 1223.4, "end": 1223.86, "word": " اتنين", "probability": 0.979736328125}, {"start": 1223.86, "end": 1224.56, "word": " صارت", "probability": 0.641845703125}, {"start": 1224.56, "end": 1224.68, "word": " N", "probability": 0.6513671875}, {"start": 1224.68, "end": 1224.86, "word": " على", "probability": 0.88623046875}, {"start": 1224.86, "end": 1225.22, "word": " اتنين", "probability": 0.9779052734375}, {"start": 1225.22, "end": 1225.66, "word": " أكبر", "probability": 0.86572265625}, {"start": 1225.66, "end": 1225.84, "word": " من", "probability": 0.98486328125}, {"start": 1225.84, "end": 1226.14, "word": " مين", "probability": 0.52423095703125}, {"start": 1226.14, "end": 1226.34, "word": " من", "probability": 0.92236328125}, {"start": 1226.34, "end": 1226.52, "word": " ايه", "probability": 0.8151041666666666}, {"start": 1226.52, "end": 1226.66, "word": " بدي", "probability": 0.452880859375}, {"start": 1226.66, "end": 1227.22, "word": " استخدمها", "probability": 0.925537109375}, {"start": 1227.22, "end": 1227.5, "word": " الآن", "probability": 0.7044677734375}, {"start": 1227.5, "end": 1227.84, "word": " هذه", "probability": 0.61669921875}, {"start": 1227.84, "end": 1228.68, "word": " ال", "probability": 0.490478515625}, {"start": 1228.68, "end": 1228.98, "word": " N", "probability": 0.6748046875}, {"start": 1228.98, "end": 1229.5, "word": " بصير", "probability": 0.7194010416666666}, {"start": 1229.5, "end": 1229.94, "word": " أصغر", "probability": 0.9381103515625}, {"start": 1229.94, "end": 1230.12, "word": " أو", "probability": 0.80908203125}, {"start": 1230.12, "end": 1230.76, "word": " يساوي", "probability": 0.9815673828125}, {"start": 1230.76, "end": 1231.8, "word": " هذا", "probability": 0.876953125}, {"start": 1231.8, "end": 1232.28, "word": " المقدار", "probability": 0.8331705729166666}, {"start": 1232.28, "end": 1232.56, "word": " بصير", "probability": 0.8922526041666666}, {"start": 1232.56, "end": 1232.94, "word": " أصغر", "probability": 0.97216796875}, {"start": 1232.94, "end": 1233.06, "word": " أو", "probability": 0.92578125}, {"start": 1233.06, "end": 1233.44, "word": " يساوي", "probability": 0.985107421875}, {"start": 1233.44, "end": 1233.7, "word": " هذا", "probability": 0.82275390625}, {"start": 1233.7, "end": 1234.02, "word": " بحكي", "probability": 0.79150390625}, {"start": 1234.02, "end": 1234.14, "word": " عن", "probability": 0.6181640625}, {"start": 1234.14, "end": 1234.32, "word": " هذا", "probability": 0.921875}, {"start": 1234.32, "end": 1234.58, "word": " بصير", "probability": 0.9191080729166666}, {"start": 1234.58, "end": 1234.88, "word": " أصغر", "probability": 0.981689453125}, {"start": 1234.88, "end": 1234.96, "word": " أو", "probability": 0.9482421875}, {"start": 1234.96, "end": 1235.44, "word": " يساوي", "probability": 0.9827880859375}, {"start": 1235.44, "end": 1236.18, "word": " اللي", "probability": 0.932373046875}, {"start": 1236.18, "end": 1236.46, "word": " هو", "probability": 0.9814453125}, {"start": 1236.46, "end": 1236.9, "word": " A", "probability": 0.927734375}], "temperature": 1.0}, {"id": 56, "seek": 126310, "start": 1238.25, "end": 1263.11, "text": "أُس ان زائد واحد على ان زائد واحد الكل فكتوريال فيه اللي هو واحد زائد ا على ان زائد ا تربية على ان تربية زائد ا اللي هو ا تكعيب على ان تكعيب", "tokens": [10721, 10859, 3794, 16472, 30767, 16373, 3215, 36764, 24401, 15844, 16472, 30767, 16373, 3215, 36764, 24401, 2423, 28820, 6156, 4117, 2655, 13063, 1829, 6027, 8978, 3224, 13672, 1829, 31439, 36764, 24401, 30767, 16373, 3215, 1975, 15844, 16472, 30767, 16373, 3215, 1975, 6055, 25513, 10632, 15844, 16472, 6055, 25513, 10632, 30767, 16373, 3215, 1975, 13672, 1829, 31439, 1975, 6055, 4117, 3615, 1829, 3555, 15844, 16472, 6055, 4117, 3615, 1829, 3555], "avg_logprob": -0.18225445938961846, "compression_ratio": 2.234234234234234, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1238.25, "end": 1238.61, "word": "أُس", "probability": 0.5267333984375}, {"start": 1238.61, "end": 1238.91, "word": " ان", "probability": 0.09033203125}, {"start": 1238.91, "end": 1239.59, "word": " زائد", "probability": 0.8046875}, {"start": 1239.59, "end": 1240.13, "word": " واحد", "probability": 0.984619140625}, {"start": 1240.13, "end": 1240.55, "word": " على", "probability": 0.7919921875}, {"start": 1240.55, "end": 1240.89, "word": " ان", "probability": 0.69873046875}, {"start": 1240.89, "end": 1241.45, "word": " زائد", "probability": 0.9527994791666666}, {"start": 1241.45, "end": 1241.93, "word": " واحد", "probability": 0.9853515625}, {"start": 1241.93, "end": 1242.69, "word": " الكل", "probability": 0.771240234375}, {"start": 1242.69, "end": 1243.49, "word": " فكتوريال", "probability": 0.8558756510416666}, {"start": 1243.49, "end": 1244.65, "word": " فيه", "probability": 0.814208984375}, {"start": 1244.65, "end": 1245.05, "word": " اللي", "probability": 0.768310546875}, {"start": 1245.05, "end": 1245.41, "word": " هو", "probability": 0.98974609375}, {"start": 1245.41, "end": 1247.29, "word": " واحد", "probability": 0.965576171875}, {"start": 1247.29, "end": 1249.11, "word": " زائد", "probability": 0.9529622395833334}, {"start": 1249.11, "end": 1249.95, "word": " ا", "probability": 0.62353515625}, {"start": 1249.95, "end": 1250.19, "word": " على", "probability": 0.53369140625}, {"start": 1250.19, "end": 1250.61, "word": " ان", "probability": 0.8701171875}, {"start": 1250.61, "end": 1252.05, "word": " زائد", "probability": 0.9737955729166666}, {"start": 1252.05, "end": 1252.83, "word": " ا", "probability": 0.755859375}, {"start": 1252.83, "end": 1253.33, "word": " تربية", "probability": 0.81201171875}, {"start": 1253.33, "end": 1253.55, "word": " على", "probability": 0.896484375}, {"start": 1253.55, "end": 1253.75, "word": " ان", "probability": 0.79345703125}, {"start": 1253.75, "end": 1254.37, "word": " تربية", "probability": 0.9763997395833334}, {"start": 1254.37, "end": 1256.83, "word": " زائد", "probability": 0.9715169270833334}, {"start": 1256.83, "end": 1257.39, "word": " ا", "probability": 0.673828125}, {"start": 1257.39, "end": 1259.59, "word": " اللي", "probability": 0.978515625}, {"start": 1259.59, "end": 1260.09, "word": " هو", "probability": 0.982421875}, {"start": 1260.09, "end": 1261.07, "word": " ا", "probability": 0.90185546875}, {"start": 1261.07, "end": 1261.85, "word": " تكعيب", "probability": 0.98974609375}, {"start": 1261.85, "end": 1262.23, "word": " على", "probability": 0.91552734375}, {"start": 1262.23, "end": 1262.49, "word": " ان", "probability": 0.8984375}, {"start": 1262.49, "end": 1263.11, "word": " تكعيب", "probability": 0.9962890625}], "temperature": 1.0}, {"id": 57, "seek": 128508, "start": 1264.13, "end": 1285.09, "text": "زائد مش بتصل لهذا زائد و بتظل ماشيها يشمالها إلى ما لا نهاية يعني بتضيف عليها a على n أس ام ناقص n a على n أس ام ناقص n زائد واحد وهكذا تظلها إلى ما لا نهاية يعني بتحولها لمين ل infinite series طيب احنا قلنا ال a أصغر من n على 2", "tokens": [11622, 16373, 3215, 37893, 39894, 36520, 46740, 15730, 30767, 16373, 3215, 4032, 39894, 19913, 1211, 3714, 33599, 1829, 11296, 7251, 8592, 2304, 6027, 11296, 30731, 19446, 20193, 8717, 11296, 10632, 37495, 22653, 39894, 11242, 33911, 25894, 11296, 257, 15844, 297, 5551, 3794, 1975, 2304, 8717, 995, 4587, 9381, 297, 257, 15844, 297, 5551, 3794, 1975, 2304, 8717, 995, 4587, 9381, 297, 30767, 16373, 3215, 36764, 24401, 37037, 4117, 15730, 6055, 19913, 1211, 11296, 30731, 19446, 20193, 8717, 11296, 10632, 37495, 22653, 39894, 5016, 12610, 11296, 32767, 9957, 5296, 13785, 2638, 23032, 1829, 3555, 1975, 5016, 8315, 12174, 1211, 8315, 2423, 257, 5551, 9381, 17082, 2288, 9154, 297, 15844, 568], "avg_logprob": -0.21249999850988388, "compression_ratio": 1.9689119170984455, "no_speech_prob": 2.86102294921875e-06, "words": [{"start": 1264.13, "end": 1264.73, "word": "زائد", "probability": 0.71337890625}, {"start": 1264.73, "end": 1265.33, "word": " مش", "probability": 0.64599609375}, {"start": 1265.33, "end": 1265.87, "word": " بتصل", "probability": 0.50244140625}, {"start": 1265.87, "end": 1266.53, "word": " لهذا", "probability": 0.768798828125}, {"start": 1266.53, "end": 1267.41, "word": " زائد", "probability": 0.9078776041666666}, {"start": 1267.41, "end": 1267.49, "word": " و", "probability": 0.63427734375}, {"start": 1267.49, "end": 1267.79, "word": " بتظل", "probability": 0.507568359375}, {"start": 1267.79, "end": 1268.31, "word": " ماشيها", "probability": 0.7742919921875}, {"start": 1268.31, "end": 1269.11, "word": " يشمالها", "probability": 0.882421875}, {"start": 1269.11, "end": 1269.87, "word": " إلى", "probability": 0.7373046875}, {"start": 1269.87, "end": 1270.25, "word": " ما", "probability": 0.286865234375}, {"start": 1270.25, "end": 1270.39, "word": " لا", "probability": 0.84326171875}, {"start": 1270.39, "end": 1271.03, "word": " ��هاية", "probability": 0.9143880208333334}, {"start": 1271.03, "end": 1271.67, "word": " يعني", "probability": 0.9150390625}, {"start": 1271.67, "end": 1272.69, "word": " بتضيف", "probability": 0.9178059895833334}, {"start": 1272.69, "end": 1273.17, "word": " عليها", "probability": 0.9921875}, {"start": 1273.17, "end": 1273.43, "word": " a", "probability": 0.435302734375}, {"start": 1273.43, "end": 1273.73, "word": " على", "probability": 0.57470703125}, {"start": 1273.73, "end": 1274.01, "word": " n", "probability": 0.480712890625}, {"start": 1274.01, "end": 1274.31, "word": " أس", "probability": 0.60400390625}, {"start": 1274.31, "end": 1274.59, "word": " ام", "probability": 0.55780029296875}, {"start": 1274.59, "end": 1275.13, "word": " ناقص", "probability": 0.9678955078125}, {"start": 1275.13, "end": 1275.37, "word": " n", "probability": 0.50341796875}, {"start": 1275.37, "end": 1276.13, "word": " a", "probability": 0.7109375}, {"start": 1276.13, "end": 1276.39, "word": " على", "probability": 0.75390625}, {"start": 1276.39, "end": 1276.69, "word": " n", "probability": 0.9111328125}, {"start": 1276.69, "end": 1276.95, "word": " أس", "probability": 0.96923828125}, {"start": 1276.95, "end": 1277.11, "word": " ام", "probability": 0.766845703125}, {"start": 1277.11, "end": 1277.45, "word": " ناقص", "probability": 0.9931640625}, {"start": 1277.45, "end": 1277.59, "word": " n", "probability": 0.8505859375}, {"start": 1277.59, "end": 1277.95, "word": " زائد", "probability": 0.9534505208333334}, {"start": 1277.95, "end": 1278.31, "word": " واحد", "probability": 0.85791015625}, {"start": 1278.31, "end": 1278.91, "word": " وهكذا", "probability": 0.8670247395833334}, {"start": 1278.91, "end": 1279.31, "word": " تظلها", "probability": 0.915771484375}, {"start": 1279.31, "end": 1279.49, "word": " إلى", "probability": 0.92626953125}, {"start": 1279.49, "end": 1279.73, "word": " ما", "probability": 0.93994140625}, {"start": 1279.73, "end": 1279.83, "word": " لا", "probability": 0.96142578125}, {"start": 1279.83, "end": 1280.11, "word": " نهاية", "probability": 0.9471028645833334}, {"start": 1280.11, "end": 1280.29, "word": " يعني", "probability": 0.787353515625}, {"start": 1280.29, "end": 1280.83, "word": " بتحولها", "probability": 0.8463134765625}, {"start": 1280.83, "end": 1281.13, "word": " لمين", "probability": 0.82421875}, {"start": 1281.13, "end": 1281.27, "word": " ل", "probability": 0.57763671875}, {"start": 1281.27, "end": 1281.61, "word": " infinite", "probability": 0.6357421875}, {"start": 1281.61, "end": 1282.17, "word": " series", "probability": 0.92236328125}, {"start": 1282.17, "end": 1282.91, "word": " طيب", "probability": 0.9441731770833334}, {"start": 1282.91, "end": 1283.09, "word": " احنا", "probability": 0.88671875}, {"start": 1283.09, "end": 1283.43, "word": " قلنا", "probability": 0.8614908854166666}, {"start": 1283.43, "end": 1283.65, "word": " ال", "probability": 0.84228515625}, {"start": 1283.65, "end": 1283.85, "word": " a", "probability": 0.83447265625}, {"start": 1283.85, "end": 1284.27, "word": " أصغر", "probability": 0.98388671875}, {"start": 1284.27, "end": 1284.43, "word": " من", "probability": 0.98876953125}, {"start": 1284.43, "end": 1284.63, "word": " n", "probability": 0.91943359375}, {"start": 1284.63, "end": 1284.83, "word": " على", "probability": 0.8486328125}, {"start": 1284.83, "end": 1285.09, "word": " 2", "probability": 0.8251953125}], "temperature": 1.0}, {"id": 58, "seek": 131205, "start": 1285.43, "end": 1312.05, "text": "يعني ال a n على n أصغر من مين؟ من نص عرفته الأن إيش بدأ أسأل صار عندي هذا المقدار أصغر أو يساوي a أس n زائد واحد على n زائد واحد لكل factorial مضروب في مين؟ اللي هو واحد زائد نص زائد نص تربيع أه لأن a على n أصغر من مين يا جماعة؟ من نص زائد", "tokens": [40228, 22653, 2423, 257, 297, 15844, 297, 5551, 9381, 17082, 2288, 9154, 3714, 9957, 22807, 9154, 8717, 9381, 6225, 28480, 47395, 16247, 1863, 11933, 1829, 8592, 47525, 10721, 5551, 3794, 10721, 1211, 20328, 9640, 18871, 16254, 23758, 9673, 28543, 9640, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 257, 5551, 3794, 297, 30767, 16373, 3215, 36764, 24401, 15844, 297, 30767, 16373, 3215, 36764, 24401, 5296, 28820, 36916, 3714, 11242, 32887, 3555, 8978, 3714, 9957, 22807, 13672, 1829, 31439, 36764, 24401, 30767, 16373, 3215, 8717, 9381, 30767, 16373, 3215, 8717, 9381, 6055, 2288, 21292, 3615, 5551, 3224, 5296, 33456, 257, 15844, 297, 5551, 9381, 17082, 2288, 9154, 3714, 9957, 35186, 10874, 15042, 27884, 22807, 9154, 8717, 9381, 30767, 16373, 3215], "avg_logprob": -0.18969524990428577, "compression_ratio": 1.9238095238095239, "no_speech_prob": 3.933906555175781e-06, "words": [{"start": 1285.43, "end": 1285.85, "word": "يعني", "probability": 0.9140625}, {"start": 1285.85, "end": 1286.05, "word": " ال", "probability": 0.67578125}, {"start": 1286.05, "end": 1286.23, "word": " a", "probability": 0.318115234375}, {"start": 1286.23, "end": 1286.53, "word": " n", "probability": 0.446533203125}, {"start": 1286.53, "end": 1286.81, "word": " على", "probability": 0.66455078125}, {"start": 1286.81, "end": 1287.03, "word": " n", "probability": 0.9375}, {"start": 1287.03, "end": 1287.41, "word": " أصغر", "probability": 0.96044921875}, {"start": 1287.41, "end": 1287.63, "word": " من", "probability": 0.994140625}, {"start": 1287.63, "end": 1288.33, "word": " مين؟", "probability": 0.7610677083333334}, {"start": 1288.33, "end": 1288.67, "word": " من", "probability": 0.966796875}, {"start": 1288.67, "end": 1289.15, "word": " نص", "probability": 0.936767578125}, {"start": 1289.15, "end": 1289.91, "word": " عرفته", "probability": 0.7464192708333334}, {"start": 1289.91, "end": 1290.15, "word": " الأن", "probability": 0.72265625}, {"start": 1290.15, "end": 1290.31, "word": " إيش", "probability": 0.805419921875}, {"start": 1290.31, "end": 1290.53, "word": " بدأ", "probability": 0.2794189453125}, {"start": 1290.53, "end": 1290.73, "word": " أسأل", "probability": 0.617919921875}, {"start": 1290.73, "end": 1291.37, "word": " صار", "probability": 0.826416015625}, {"start": 1291.37, "end": 1291.69, "word": " عندي", "probability": 0.7186279296875}, {"start": 1291.69, "end": 1292.07, "word": " هذا", "probability": 0.8525390625}, {"start": 1292.07, "end": 1292.93, "word": " المقدار", "probability": 0.90625}, {"start": 1292.93, "end": 1293.65, "word": " أصغر", "probability": 0.9755859375}, {"start": 1293.65, "end": 1293.79, "word": " أو", "probability": 0.93359375}, {"start": 1293.79, "end": 1294.45, "word": " يساوي", "probability": 0.9644775390625}, {"start": 1294.45, "end": 1295.25, "word": " a", "probability": 0.7958984375}, {"start": 1295.25, "end": 1295.53, "word": " أس", "probability": 0.601806640625}, {"start": 1295.53, "end": 1295.93, "word": " n", "probability": 0.89892578125}, {"start": 1295.93, "end": 1296.97, "word": " زائد", "probability": 0.85595703125}, {"start": 1296.97, "end": 1297.41, "word": " واحد", "probability": 0.6717529296875}, {"start": 1297.41, "end": 1297.67, "word": " على", "probability": 0.85546875}, {"start": 1297.67, "end": 1298.09, "word": " n", "probability": 0.96435546875}, {"start": 1298.09, "end": 1298.51, "word": " زائد", "probability": 0.9765625}, {"start": 1298.51, "end": 1298.95, "word": " واحد", "probability": 0.986572265625}, {"start": 1298.95, "end": 1299.31, "word": " لكل", "probability": 0.840087890625}, {"start": 1299.31, "end": 1299.97, "word": " factorial", "probability": 0.72412109375}, {"start": 1299.97, "end": 1301.11, "word": " مضروب", "probability": 0.969482421875}, {"start": 1301.11, "end": 1301.43, "word": " في", "probability": 0.974609375}, {"start": 1301.43, "end": 1302.71, "word": " مين؟", "probability": 0.8771158854166666}, {"start": 1302.71, "end": 1303.07, "word": " اللي", "probability": 0.967041015625}, {"start": 1303.07, "end": 1303.27, "word": " هو", "probability": 0.99560546875}, {"start": 1303.27, "end": 1303.79, "word": " واحد", "probability": 0.95458984375}, {"start": 1303.79, "end": 1304.53, "word": " زائد", "probability": 0.7859700520833334}, {"start": 1304.53, "end": 1304.93, "word": " نص", "probability": 0.987060546875}, {"start": 1304.93, "end": 1305.69, "word": " زائد", "probability": 0.8640950520833334}, {"start": 1305.69, "end": 1305.89, "word": " نص", "probability": 0.994873046875}, {"start": 1305.89, "end": 1306.51, "word": " تربيع", "probability": 0.778564453125}, {"start": 1306.51, "end": 1308.27, "word": " أه", "probability": 0.626708984375}, {"start": 1308.27, "end": 1308.55, "word": " لأن", "probability": 0.650634765625}, {"start": 1308.55, "end": 1308.77, "word": " a", "probability": 0.76953125}, {"start": 1308.77, "end": 1308.99, "word": " على", "probability": 0.892578125}, {"start": 1308.99, "end": 1309.15, "word": " n", "probability": 0.98291015625}, {"start": 1309.15, "end": 1309.45, "word": " أصغر", "probability": 0.9915771484375}, {"start": 1309.45, "end": 1309.59, "word": " من", "probability": 0.99267578125}, {"start": 1309.59, "end": 1309.75, "word": " مين", "probability": 0.966796875}, {"start": 1309.75, "end": 1309.83, "word": " يا", "probability": 0.990234375}, {"start": 1309.83, "end": 1310.55, "word": " جماعة؟", "probability": 0.9732666015625}, {"start": 1310.55, "end": 1310.67, "word": " من", "probability": 0.990234375}, {"start": 1310.67, "end": 1311.07, "word": " نص", "probability": 0.984375}, {"start": 1311.07, "end": 1312.05, "word": " زائد", "probability": 0.9033203125}], "temperature": 1.0}, {"id": 59, "seek": 132873, "start": 1312.79, "end": 1328.73, "text": "تربيع زاد نص تتعيد زاد الآخرين لأن هذه صارت عبارة عن geometric series مجموحها هذه بتساوي مجموح هذه عبارة عن واحد على واحد ناقصه اللي هو نص وهي ساوي جداش اتنين", "tokens": [2655, 2288, 21292, 3615, 30767, 18513, 8717, 9381, 6055, 2655, 3615, 25708, 30767, 18513, 6024, 95, 34740, 9957, 5296, 33456, 29538, 20328, 9640, 2655, 6225, 3555, 9640, 3660, 18871, 33246, 2638, 3714, 7435, 2304, 2407, 5016, 11296, 29538, 39894, 3794, 995, 45865, 3714, 7435, 2304, 2407, 5016, 29538, 6225, 3555, 9640, 3660, 18871, 36764, 24401, 15844, 36764, 24401, 8717, 995, 4587, 9381, 3224, 13672, 1829, 31439, 8717, 9381, 37037, 1829, 8608, 995, 45865, 10874, 3215, 33599, 1975, 2655, 1863, 9957], "avg_logprob": -0.25848765432098764, "compression_ratio": 1.6130952380952381, "no_speech_prob": 1.811981201171875e-05, "words": [{"start": 1312.79, "end": 1313.35, "word": "تربيع", "probability": 0.5025634765625}, {"start": 1313.35, "end": 1314.27, "word": " زاد", "probability": 0.4976806640625}, {"start": 1314.27, "end": 1314.69, "word": " نص", "probability": 0.975341796875}, {"start": 1314.69, "end": 1315.65, "word": " تتعيد", "probability": 0.724365234375}, {"start": 1315.65, "end": 1316.61, "word": " زاد", "probability": 0.907470703125}, {"start": 1316.61, "end": 1317.19, "word": " الآخرين", "probability": 0.709716796875}, {"start": 1317.19, "end": 1317.35, "word": " لأن", "probability": 0.5643310546875}, {"start": 1317.35, "end": 1317.51, "word": " هذه", "probability": 0.43994140625}, {"start": 1317.51, "end": 1317.85, "word": " صارت", "probability": 0.7972005208333334}, {"start": 1317.85, "end": 1318.09, "word": " عبارة", "probability": 0.98046875}, {"start": 1318.09, "end": 1318.21, "word": " عن", "probability": 0.9619140625}, {"start": 1318.21, "end": 1318.59, "word": " geometric", "probability": 0.427978515625}, {"start": 1318.59, "end": 1319.33, "word": " series", "probability": 0.85498046875}, {"start": 1319.33, "end": 1320.53, "word": " مجموحها", "probability": 0.9268391927083334}, {"start": 1320.53, "end": 1320.91, "word": " هذه", "probability": 0.65234375}, {"start": 1320.91, "end": 1321.55, "word": " بتساوي", "probability": 0.87841796875}, {"start": 1321.55, "end": 1322.47, "word": " مجموح", "probability": 0.775146484375}, {"start": 1322.47, "end": 1322.85, "word": " هذه", "probability": 0.890625}, {"start": 1322.85, "end": 1323.59, "word": " عبارة", "probability": 0.9906005859375}, {"start": 1323.59, "end": 1323.75, "word": " عن", "probability": 0.9814453125}, {"start": 1323.75, "end": 1324.35, "word": " واحد", "probability": 0.91259765625}, {"start": 1324.35, "end": 1324.73, "word": " على", "probability": 0.638671875}, {"start": 1324.73, "end": 1325.15, "word": " واحد", "probability": 0.994140625}, {"start": 1325.15, "end": 1325.79, "word": " ناقصه", "probability": 0.829052734375}, {"start": 1325.79, "end": 1326.01, "word": " اللي", "probability": 0.5849609375}, {"start": 1326.01, "end": 1326.15, "word": " هو", "probability": 0.95947265625}, {"start": 1326.15, "end": 1326.55, "word": " نص", "probability": 0.991943359375}, {"start": 1326.55, "end": 1327.05, "word": " وهي", "probability": 0.6749267578125}, {"start": 1327.05, "end": 1327.23, "word": " ساوي", "probability": 0.7527669270833334}, {"start": 1327.23, "end": 1328.01, "word": " جداش", "probability": 0.8015950520833334}, {"start": 1328.01, "end": 1328.73, "word": " اتنين", "probability": 0.9381103515625}], "temperature": 1.0}, {"id": 60, "seek": 135889, "start": 1329.17, "end": 1358.89, "text": "ماشي إذا هذا المقدار اللي هو صار عبارة عن اتنين في هذا المقدار اللي هو وصلنا له أصغر أو يساوي a n زائد واحد على n زائد واحد فيكتوريا مضروب في مين؟ في اتنين يعني حسابات هذه طيب إذا صار عندي الآن هاي اللي بدي أصله و اللي كاتبه باختصار هو لإنه بيعتبر ان الباقية حساباتي بتعرفوا تحسبوها em-n of x of x أصغر أو يساوي هذا المقدار على مين؟ على اتنين", "tokens": [2304, 33599, 1829, 11933, 15730, 23758, 9673, 28543, 9640, 13672, 1829, 31439, 20328, 9640, 6225, 3555, 9640, 3660, 18871, 1975, 2655, 1863, 9957, 8978, 23758, 9673, 28543, 9640, 13672, 1829, 31439, 4032, 36520, 8315, 46740, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 257, 297, 30767, 16373, 3215, 36764, 24401, 15844, 297, 30767, 16373, 3215, 36764, 24401, 8978, 4117, 2655, 13063, 25528, 3714, 11242, 32887, 3555, 8978, 3714, 9957, 22807, 8978, 1975, 2655, 1863, 9957, 37495, 22653, 11331, 3794, 16758, 9307, 29538, 23032, 1829, 3555, 11933, 15730, 20328, 9640, 18871, 16254, 6024, 48506, 8032, 47302, 13672, 1829, 4724, 16254, 5551, 36520, 3224, 4032, 13672, 1829, 9122, 9307, 3555, 3224, 4724, 47283, 2655, 9381, 9640, 31439, 5296, 28814, 1863, 3224, 4724, 1829, 34268, 26890, 16472, 29739, 995, 4587, 10632, 11331, 3794, 16758, 9307, 1829, 39894, 3615, 28480, 14407, 6055, 5016, 35457, 2407, 11296, 846, 12, 77, 295, 2031, 295, 2031, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 23758, 9673, 28543, 9640, 15844, 3714, 9957, 22807, 15844, 1975, 2655, 1863, 9957], "avg_logprob": -0.1839776018451404, "compression_ratio": 2.197802197802198, "no_speech_prob": 1.1026859283447266e-05, "words": [{"start": 1329.17, "end": 1329.59, "word": "ماشي", "probability": 0.82177734375}, {"start": 1329.59, "end": 1329.83, "word": " إذا", "probability": 0.68212890625}, {"start": 1329.83, "end": 1330.27, "word": " هذا", "probability": 0.64404296875}, {"start": 1330.27, "end": 1331.25, "word": " المقدار", "probability": 0.95703125}, {"start": 1331.25, "end": 1332.11, "word": " اللي", "probability": 0.8701171875}, {"start": 1332.11, "end": 1332.33, "word": " هو", "probability": 0.92626953125}, {"start": 1332.33, "end": 1332.73, "word": " صار", "probability": 0.924072265625}, {"start": 1332.73, "end": 1333.15, "word": " عبارة", "probability": 0.9920654296875}, {"start": 1333.15, "end": 1333.39, "word": " عن", "probability": 0.97802734375}, {"start": 1333.39, "end": 1333.93, "word": " اتنين", "probability": 0.8673095703125}, {"start": 1333.93, "end": 1334.11, "word": " في", "probability": 0.75048828125}, {"start": 1334.11, "end": 1334.33, "word": " هذا", "probability": 0.93505859375}, {"start": 1334.33, "end": 1334.91, "word": " المقدار", "probability": 0.9757486979166666}, {"start": 1334.91, "end": 1335.51, "word": " اللي", "probability": 0.9609375}, {"start": 1335.51, "end": 1335.71, "word": " هو", "probability": 0.98681640625}, {"start": 1335.71, "end": 1336.13, "word": " وصلنا", "probability": 0.9513346354166666}, {"start": 1336.13, "end": 1336.51, "word": " له", "probability": 0.3564453125}, {"start": 1336.51, "end": 1337.11, "word": " أصغر", "probability": 0.948486328125}, {"start": 1337.11, "end": 1337.23, "word": " أو", "probability": 0.947265625}, {"start": 1337.23, "end": 1337.69, "word": " يساوي", "probability": 0.8272705078125}, {"start": 1337.69, "end": 1338.29, "word": " a", "probability": 0.40869140625}, {"start": 1338.29, "end": 1338.47, "word": " n", "probability": 0.298095703125}, {"start": 1338.47, "end": 1338.81, "word": " زائد", "probability": 0.72900390625}, {"start": 1338.81, "end": 1339.35, "word": " واحد", "probability": 0.944580078125}, {"start": 1339.35, "end": 1339.85, "word": " على", "probability": 0.6220703125}, {"start": 1339.85, "end": 1340.13, "word": " n", "probability": 0.9501953125}, {"start": 1340.13, "end": 1340.37, "word": " زائد", "probability": 0.9505208333333334}, {"start": 1340.37, "end": 1340.65, "word": " واحد", "probability": 0.9873046875}, {"start": 1340.65, "end": 1341.15, "word": " فيكتوريا", "probability": 0.78779296875}, {"start": 1341.15, "end": 1341.57, "word": " مضروب", "probability": 0.85791015625}, {"start": 1341.57, "end": 1341.73, "word": " في", "probability": 0.94580078125}, {"start": 1341.73, "end": 1342.35, "word": " مين؟", "probability": 0.6578776041666666}, {"start": 1342.35, "end": 1342.45, "word": " في", "probability": 0.77783203125}, {"start": 1342.45, "end": 1342.73, "word": " اتنين", "probability": 0.9595947265625}, {"start": 1342.73, "end": 1342.97, "word": " يعني", "probability": 0.797607421875}, {"start": 1342.97, "end": 1343.53, "word": " حسابات", "probability": 0.8370361328125}, {"start": 1343.53, "end": 1343.89, "word": " هذه", "probability": 0.76904296875}, {"start": 1343.89, "end": 1344.97, "word": " طيب", "probability": 0.9754231770833334}, {"start": 1344.97, "end": 1345.27, "word": " إذا", "probability": 0.861083984375}, {"start": 1345.27, "end": 1345.61, "word": " صار", "probability": 0.98291015625}, {"start": 1345.61, "end": 1346.01, "word": " عندي", "probability": 0.7242431640625}, {"start": 1346.01, "end": 1346.51, "word": " الآن", "probability": 0.893798828125}, {"start": 1346.51, "end": 1346.87, "word": " هاي", "probability": 0.5875244140625}, {"start": 1346.87, "end": 1347.07, "word": " اللي", "probability": 0.986572265625}, {"start": 1347.07, "end": 1347.35, "word": " بدي", "probability": 0.572998046875}, {"start": 1347.35, "end": 1348.01, "word": " أصله", "probability": 0.8707682291666666}, {"start": 1348.01, "end": 1348.53, "word": " و", "probability": 0.828125}, {"start": 1348.53, "end": 1348.77, "word": " اللي", "probability": 0.795166015625}, {"start": 1348.77, "end": 1349.21, "word": " كاتبه", "probability": 0.9891357421875}, {"start": 1349.21, "end": 1349.79, "word": " باختصار", "probability": 0.973828125}, {"start": 1349.79, "end": 1349.99, "word": " هو", "probability": 0.92822265625}, {"start": 1349.99, "end": 1350.23, "word": " لإنه", "probability": 0.75653076171875}, {"start": 1350.23, "end": 1350.65, "word": " بيعتبر", "probability": 0.9217529296875}, {"start": 1350.65, "end": 1350.77, "word": " ان", "probability": 0.382568359375}, {"start": 1350.77, "end": 1351.15, "word": " الباقية", "probability": 0.7431640625}, {"start": 1351.15, "end": 1351.63, "word": " حساباتي", "probability": 0.832177734375}, {"start": 1351.63, "end": 1351.91, "word": " بتعرفوا", "probability": 0.8182373046875}, {"start": 1351.91, "end": 1352.65, "word": " تحسبوها", "probability": 0.89541015625}, {"start": 1352.65, "end": 1353.47, "word": " em", "probability": 0.1571044921875}, {"start": 1353.47, "end": 1354.33, "word": "-n", "probability": 0.4190673828125}, {"start": 1354.33, "end": 1354.61, "word": " of", "probability": 0.6826171875}, {"start": 1354.61, "end": 1354.81, "word": " x", "probability": 0.876953125}, {"start": 1354.81, "end": 1354.97, "word": " of", "probability": 0.9697265625}, {"start": 1354.97, "end": 1355.37, "word": " x", "probability": 0.99169921875}, {"start": 1355.37, "end": 1356.09, "word": " أصغر", "probability": 0.9849853515625}, {"start": 1356.09, "end": 1356.21, "word": " أو", "probability": 0.97265625}, {"start": 1356.21, "end": 1356.57, "word": " يساوي", "probability": 0.9852294921875}, {"start": 1356.57, "end": 1356.95, "word": " هذا", "probability": 0.953125}, {"start": 1356.95, "end": 1357.53, "word": " المقدار", "probability": 0.982421875}, {"start": 1357.53, "end": 1357.77, "word": " على", "probability": 0.90625}, {"start": 1357.77, "end": 1358.31, "word": " مين؟", "probability": 0.9025065104166666}, {"start": 1358.31, "end": 1358.49, "word": " على", "probability": 0.8671875}, {"start": 1358.49, "end": 1358.89, "word": " اتنين", "probability": 0.955322265625}], "temperature": 1.0}, {"id": 61, "seek": 138785, "start": 1360.07, "end": 1387.85, "text": "الان شوف ما يليه الان as n goes to infinity هذا المقدار هذا المقدار as n goes to infinity ال limit بتروح للصفر لأن a n زائد واحد على n زائد واحد كل factorial as n goes to infinity ايش بده يروح للصفر يعني بمعنى اخر مدام بده يروح للصفر طبعا وذا كبرت الان بتكبر مين برضه مباشرة ام لأن ام اكبر منها اذا four", "tokens": [6027, 7649, 13412, 38688, 19446, 7251, 20292, 3224, 2423, 7649, 382, 297, 1709, 281, 13202, 23758, 9673, 28543, 9640, 23758, 9673, 28543, 9640, 382, 297, 1709, 281, 13202, 2423, 4948, 39894, 32887, 5016, 24976, 9381, 5172, 2288, 5296, 33456, 257, 297, 30767, 16373, 3215, 36764, 24401, 15844, 297, 30767, 16373, 3215, 36764, 24401, 28242, 36916, 382, 297, 1709, 281, 13202, 1975, 1829, 8592, 47525, 3224, 7251, 32887, 5016, 24976, 9381, 5172, 2288, 37495, 22653, 4724, 2304, 3615, 1863, 7578, 1975, 34740, 3714, 3215, 10943, 47525, 3224, 7251, 32887, 5016, 24976, 9381, 5172, 2288, 23032, 3555, 3615, 995, 4032, 15730, 9122, 26890, 2655, 2423, 7649, 39894, 4117, 26890, 3714, 9957, 4724, 43042, 3224, 3714, 3555, 33599, 25720, 1975, 2304, 5296, 33456, 1975, 2304, 1975, 4117, 26890, 9154, 11296, 1975, 15730, 1451], "avg_logprob": -0.22041984528075648, "compression_ratio": 2.0258620689655173, "no_speech_prob": 9.715557098388672e-06, "words": [{"start": 1360.07, "end": 1360.43, "word": "الان", "probability": 0.658203125}, {"start": 1360.43, "end": 1360.79, "word": " شوف", "probability": 0.902587890625}, {"start": 1360.79, "end": 1361.03, "word": " ما", "probability": 0.82958984375}, {"start": 1361.03, "end": 1362.01, "word": " يليه", "probability": 0.73193359375}, {"start": 1362.01, "end": 1362.99, "word": " الان", "probability": 0.896240234375}, {"start": 1362.99, "end": 1363.45, "word": " as", "probability": 0.82568359375}, {"start": 1363.45, "end": 1363.79, "word": " n", "probability": 0.69287109375}, {"start": 1363.79, "end": 1364.21, "word": " goes", "probability": 0.8974609375}, {"start": 1364.21, "end": 1364.41, "word": " to", "probability": 0.93798828125}, {"start": 1364.41, "end": 1364.97, "word": " infinity", "probability": 0.86083984375}, {"start": 1364.97, "end": 1366.55, "word": " هذا", "probability": 0.875}, {"start": 1366.55, "end": 1367.57, "word": " المقدار", "probability": 0.9558919270833334}, {"start": 1367.57, "end": 1368.25, "word": " هذا", "probability": 0.358154296875}, {"start": 1368.25, "end": 1368.97, "word": " المقدار", "probability": 0.9869791666666666}, {"start": 1368.97, "end": 1369.43, "word": " as", "probability": 0.8779296875}, {"start": 1369.43, "end": 1369.59, "word": " n", "probability": 0.966796875}, {"start": 1369.59, "end": 1369.77, "word": " goes", "probability": 0.953125}, {"start": 1369.77, "end": 1369.91, "word": " to", "probability": 0.94677734375}, {"start": 1369.91, "end": 1370.31, "word": " infinity", "probability": 0.87548828125}, {"start": 1370.31, "end": 1370.99, "word": " ال", "probability": 0.87109375}, {"start": 1370.99, "end": 1371.25, "word": " limit", "probability": 0.79443359375}, {"start": 1371.25, "end": 1371.61, "word": " بتروح", "probability": 0.8075358072916666}, {"start": 1371.61, "end": 1372.13, "word": " للصفر", "probability": 0.6793212890625}, {"start": 1372.13, "end": 1372.39, "word": " لأن", "probability": 0.6826171875}, {"start": 1372.39, "end": 1372.65, "word": " a", "probability": 0.285888671875}, {"start": 1372.65, "end": 1373.01, "word": " n", "probability": 0.23486328125}, {"start": 1373.01, "end": 1374.23, "word": " ��ائد", "probability": 0.77197265625}, {"start": 1374.23, "end": 1374.53, "word": " واحد", "probability": 0.858642578125}, {"start": 1374.53, "end": 1374.69, "word": " على", "probability": 0.79150390625}, {"start": 1374.69, "end": 1374.91, "word": " n", "probability": 0.75830078125}, {"start": 1374.91, "end": 1375.21, "word": " زائد", "probability": 0.9529622395833334}, {"start": 1375.21, "end": 1375.49, "word": " واحد", "probability": 0.988525390625}, {"start": 1375.49, "end": 1375.71, "word": " كل", "probability": 0.53955078125}, {"start": 1375.71, "end": 1376.29, "word": " factorial", "probability": 0.65380859375}, {"start": 1376.29, "end": 1376.59, "word": " as", "probability": 0.91162109375}, {"start": 1376.59, "end": 1376.77, "word": " n", "probability": 0.9697265625}, {"start": 1376.77, "end": 1376.97, "word": " goes", "probability": 0.9521484375}, {"start": 1376.97, "end": 1377.11, "word": " to", "probability": 0.96142578125}, {"start": 1377.11, "end": 1377.39, "word": " infinity", "probability": 0.892578125}, {"start": 1377.39, "end": 1377.59, "word": " ايش", "probability": 0.6959635416666666}, {"start": 1377.59, "end": 1377.83, "word": " بده", "probability": 0.50933837890625}, {"start": 1377.83, "end": 1378.23, "word": " يروح", "probability": 0.9471028645833334}, {"start": 1378.23, "end": 1379.07, "word": " للصفر", "probability": 0.9085693359375}, {"start": 1379.07, "end": 1379.87, "word": " يعني", "probability": 0.87255859375}, {"start": 1379.87, "end": 1380.41, "word": " بمعنى", "probability": 0.98408203125}, {"start": 1380.41, "end": 1380.83, "word": " اخر", "probability": 0.804931640625}, {"start": 1380.83, "end": 1381.19, "word": " مدام", "probability": 0.5997721354166666}, {"start": 1381.19, "end": 1381.51, "word": " بده", "probability": 0.7423095703125}, {"start": 1381.51, "end": 1381.73, "word": " يروح", "probability": 0.9881184895833334}, {"start": 1381.73, "end": 1382.29, "word": " للصفر", "probability": 0.9830322265625}, {"start": 1382.29, "end": 1382.63, "word": " طبعا", "probability": 0.9451904296875}, {"start": 1382.63, "end": 1382.85, "word": " وذا", "probability": 0.609130859375}, {"start": 1382.85, "end": 1383.21, "word": " كبرت", "probability": 0.9205729166666666}, {"start": 1383.21, "end": 1383.47, "word": " الان", "probability": 0.862548828125}, {"start": 1383.47, "end": 1383.89, "word": " بتكبر", "probability": 0.9371744791666666}, {"start": 1383.89, "end": 1384.09, "word": " مين", "probability": 0.728271484375}, {"start": 1384.09, "end": 1384.43, "word": " برضه", "probability": 0.9000651041666666}, {"start": 1384.43, "end": 1385.09, "word": " مباشرة", "probability": 0.97119140625}, {"start": 1385.09, "end": 1385.41, "word": " ام", "probability": 0.48883056640625}, {"start": 1385.41, "end": 1385.61, "word": " لأن", "probability": 0.768310546875}, {"start": 1385.61, "end": 1385.81, "word": " ام", "probability": 0.78955078125}, {"start": 1385.81, "end": 1386.05, "word": " اكبر", "probability": 0.8704427083333334}, {"start": 1386.05, "end": 1386.39, "word": " منها", "probability": 0.9921875}, {"start": 1386.39, "end": 1387.17, "word": " اذا", "probability": 0.89892578125}, {"start": 1387.17, "end": 1387.85, "word": " four", "probability": 0.71630859375}], "temperature": 1.0}, {"id": 62, "seek": 139980, "start": 1390.88, "end": 1399.8, "text": "for large ن و أم we get", "tokens": [2994, 2416, 8717, 4032, 5551, 2304, 321, 483], "avg_logprob": -0.4587673611111111, "compression_ratio": 0.7714285714285715, "no_speech_prob": 0.0, "words": [{"start": 1390.8799999999999, "end": 1392.28, "word": "for", "probability": 0.473876953125}, {"start": 1392.28, "end": 1393.68, "word": " large", "probability": 0.87060546875}, {"start": 1393.68, "end": 1395.04, "word": " ن", "probability": 0.41162109375}, {"start": 1395.04, "end": 1395.46, "word": " و", "probability": 0.83251953125}, {"start": 1395.46, "end": 1396.1, "word": " أم", "probability": 0.642578125}, {"start": 1396.1, "end": 1397.9, "word": " we", "probability": 0.58251953125}, {"start": 1397.9, "end": 1399.8, "word": " get", "probability": 0.94970703125}], "temperature": 1.0}, {"id": 63, "seek": 143209, "start": 1403.49, "end": 1432.09, "text": "E M of X ناقص E N of X اللي هي أصغر أو يساوي من هذه هذه أصلا for large N as N goes to infinity هذا المقدار بيصير أصغر من أي ي في الدنيا اللي هي بيصير أصغر من مين من ي أو أصغر أو يساوي ي as N و M become very very large", "tokens": [36, 376, 295, 1783, 8717, 995, 4587, 9381, 462, 426, 295, 1783, 13672, 1829, 39896, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 9154, 29538, 29538, 5551, 9381, 15040, 337, 2416, 426, 382, 426, 1709, 281, 13202, 23758, 9673, 28543, 9640, 4724, 1829, 9381, 13546, 5551, 9381, 17082, 2288, 9154, 36632, 7251, 8978, 32748, 22653, 995, 13672, 1829, 39896, 4724, 1829, 9381, 13546, 5551, 9381, 17082, 2288, 9154, 3714, 9957, 9154, 7251, 34051, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 7251, 382, 426, 4032, 376, 1813, 588, 588, 2416], "avg_logprob": -0.23672714476944298, "compression_ratio": 1.7391304347826086, "no_speech_prob": 3.2782554626464844e-06, "words": [{"start": 1403.49, "end": 1404.21, "word": "E", "probability": 0.152587890625}, {"start": 1404.21, "end": 1404.93, "word": " M", "probability": 0.369140625}, {"start": 1404.93, "end": 1405.65, "word": " of", "probability": 0.67431640625}, {"start": 1405.65, "end": 1406.33, "word": " X", "probability": 0.9814453125}, {"start": 1406.33, "end": 1407.39, "word": " ناقص", "probability": 0.7051849365234375}, {"start": 1407.39, "end": 1407.81, "word": " E", "probability": 0.7646484375}, {"start": 1407.81, "end": 1408.13, "word": " N", "probability": 0.95703125}, {"start": 1408.13, "end": 1408.51, "word": " of", "probability": 0.939453125}, {"start": 1408.51, "end": 1409.01, "word": " X", "probability": 0.99609375}, {"start": 1409.01, "end": 1409.23, "word": " اللي", "probability": 0.49114990234375}, {"start": 1409.23, "end": 1409.51, "word": " هي", "probability": 0.85107421875}, {"start": 1409.51, "end": 1410.03, "word": " أصغر", "probability": 0.95556640625}, {"start": 1410.03, "end": 1410.37, "word": " أو", "probability": 0.9150390625}, {"start": 1410.37, "end": 1410.85, "word": " يساوي", "probability": 0.9688720703125}, {"start": 1410.85, "end": 1411.05, "word": " من", "probability": 0.97216796875}, {"start": 1411.05, "end": 1411.59, "word": " هذه", "probability": 0.60302734375}, {"start": 1411.59, "end": 1412.63, "word": " هذه", "probability": 0.2442626953125}, {"start": 1412.63, "end": 1413.05, "word": " أصلا", "probability": 0.916015625}, {"start": 1413.05, "end": 1413.41, "word": " for", "probability": 0.501953125}, {"start": 1413.41, "end": 1414.45, "word": " large", "probability": 0.806640625}, {"start": 1414.45, "end": 1415.71, "word": " N", "probability": 0.80126953125}, {"start": 1415.71, "end": 1416.63, "word": " as", "probability": 0.45947265625}, {"start": 1416.63, "end": 1416.81, "word": " N", "probability": 0.9033203125}, {"start": 1416.81, "end": 1417.07, "word": " goes", "probability": 0.84912109375}, {"start": 1417.07, "end": 1417.25, "word": " to", "probability": 0.89501953125}, {"start": 1417.25, "end": 1417.67, "word": " infinity", "probability": 0.78759765625}, {"start": 1417.67, "end": 1418.07, "word": " هذا", "probability": 0.67236328125}, {"start": 1418.07, "end": 1418.65, "word": " المقدار", "probability": 0.7532552083333334}, {"start": 1418.65, "end": 1419.17, "word": " بيصير", "probability": 0.905517578125}, {"start": 1419.17, "end": 1419.81, "word": " أصغر", "probability": 0.987548828125}, {"start": 1419.81, "end": 1420.07, "word": " من", "probability": 0.99169921875}, {"start": 1420.07, "end": 1420.43, "word": " أي", "probability": 0.9345703125}, {"start": 1420.43, "end": 1420.81, "word": " ي", "probability": 0.27001953125}, {"start": 1420.81, "end": 1421.51, "word": " في", "probability": 0.8564453125}, {"start": 1421.51, "end": 1422.29, "word": " الدنيا", "probability": 0.9793294270833334}, {"start": 1422.29, "end": 1422.93, "word": " اللي", "probability": 0.94140625}, {"start": 1422.93, "end": 1423.11, "word": " هي", "probability": 0.8896484375}, {"start": 1423.11, "end": 1423.47, "word": " بيصير", "probability": 0.952392578125}, {"start": 1423.47, "end": 1423.91, "word": " أصغر", "probability": 0.9833984375}, {"start": 1423.91, "end": 1424.11, "word": " من", "probability": 0.98876953125}, {"start": 1424.11, "end": 1424.65, "word": " مين", "probability": 0.751220703125}, {"start": 1424.65, "end": 1425.21, "word": " من", "probability": 0.67529296875}, {"start": 1425.21, "end": 1425.41, "word": " ي", "probability": 0.75048828125}, {"start": 1425.41, "end": 1425.79, "word": " أو", "probability": 0.360107421875}, {"start": 1425.79, "end": 1426.17, "word": " أصغر", "probability": 0.89404296875}, {"start": 1426.17, "end": 1426.31, "word": " أو", "probability": 0.9248046875}, {"start": 1426.31, "end": 1426.81, "word": " يساوي", "probability": 0.98779296875}, {"start": 1426.81, "end": 1427.17, "word": " ي", "probability": 0.65380859375}, {"start": 1427.17, "end": 1428.11, "word": " as", "probability": 0.724609375}, {"start": 1428.11, "end": 1428.83, "word": " N", "probability": 0.8115234375}, {"start": 1428.83, "end": 1429.03, "word": " و", "probability": 0.8525390625}, {"start": 1429.03, "end": 1429.33, "word": " M", "probability": 0.8515625}, {"start": 1429.33, "end": 1430.15, "word": " become", "probability": 0.783203125}, {"start": 1430.15, "end": 1430.83, "word": " very", "probability": 0.89453125}, {"start": 1430.83, "end": 1431.41, "word": " very", "probability": 0.8056640625}, {"start": 1431.41, "end": 1432.09, "word": " large", "probability": 0.9619140625}], "temperature": 1.0}, {"id": 64, "seek": 145905, "start": 1432.55, "end": 1459.05, "text": "ماشي الحال لإنه ال limit لل a n على n فكتوره ليش بيساوي بيساوي سفر إذا صار عندي الآن اللي هي E m of X E n of X أصغر وشوى Y لكل X وين موجودة في الفترة A ماقص A أو A ماشي الحال الآن بناء عليه", "tokens": [2304, 33599, 1829, 21542, 6027, 5296, 28814, 1863, 3224, 2423, 4948, 24976, 257, 297, 15844, 297, 6156, 4117, 2655, 13063, 3224, 32239, 8592, 4724, 1829, 3794, 995, 45865, 4724, 1829, 3794, 995, 45865, 8608, 5172, 2288, 11933, 15730, 20328, 9640, 18871, 16254, 6024, 48506, 13672, 1829, 39896, 462, 275, 295, 1783, 462, 297, 295, 1783, 5551, 9381, 17082, 2288, 4032, 8592, 2407, 7578, 398, 5296, 28820, 1783, 4032, 9957, 3714, 29245, 23328, 3660, 8978, 27188, 2655, 25720, 316, 3714, 995, 4587, 9381, 316, 34051, 316, 3714, 33599, 1829, 21542, 6027, 6024, 48506, 44945, 16606, 47356], "avg_logprob": -0.3022461027527849, "compression_ratio": 1.6041666666666667, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 1432.55, "end": 1432.89, "word": "ماشي", "probability": 0.7945963541666666}, {"start": 1432.89, "end": 1433.25, "word": " الحال", "probability": 0.91455078125}, {"start": 1433.25, "end": 1434.05, "word": " لإنه", "probability": 0.6719970703125}, {"start": 1434.05, "end": 1434.15, "word": " ال", "probability": 0.66748046875}, {"start": 1434.15, "end": 1434.39, "word": " limit", "probability": 0.79833984375}, {"start": 1434.39, "end": 1434.63, "word": " لل", "probability": 0.7900390625}, {"start": 1434.63, "end": 1434.79, "word": " a", "probability": 0.16845703125}, {"start": 1434.79, "end": 1434.95, "word": " n", "probability": 0.1820068359375}, {"start": 1434.95, "end": 1435.13, "word": " على", "probability": 0.578125}, {"start": 1435.13, "end": 1435.29, "word": " n", "probability": 0.828125}, {"start": 1435.29, "end": 1435.73, "word": " فكتوره", "probability": 0.788720703125}, {"start": 1435.73, "end": 1435.95, "word": " ليش", "probability": 0.8564453125}, {"start": 1435.95, "end": 1436.51, "word": " بيساوي", "probability": 0.78818359375}, {"start": 1436.51, "end": 1437.41, "word": " بيساوي", "probability": 0.746240234375}, {"start": 1437.41, "end": 1437.85, "word": " سفر", "probability": 0.8133138020833334}, {"start": 1437.85, "end": 1438.71, "word": " إذا", "probability": 0.64404296875}, {"start": 1438.71, "end": 1439.11, "word": " صار", "probability": 0.945556640625}, {"start": 1439.11, "end": 1439.49, "word": " عندي", "probability": 0.76318359375}, {"start": 1439.49, "end": 1440.07, "word": " الآن", "probability": 0.77490234375}, {"start": 1440.07, "end": 1443.07, "word": " اللي", "probability": 0.8828125}, {"start": 1443.07, "end": 1443.51, "word": " هي", "probability": 0.81884765625}, {"start": 1443.51, "end": 1443.89, "word": " E", "probability": 0.33740234375}, {"start": 1443.89, "end": 1444.03, "word": " m", "probability": 0.51953125}, {"start": 1444.03, "end": 1444.23, "word": " of", "probability": 0.9599609375}, {"start": 1444.23, "end": 1444.45, "word": " X", "probability": 0.54443359375}, {"start": 1444.45, "end": 1444.57, "word": " E", "probability": 0.6875}, {"start": 1444.57, "end": 1444.69, "word": " n", "probability": 0.89404296875}, {"start": 1444.69, "end": 1444.81, "word": " of", "probability": 0.95654296875}, {"start": 1444.81, "end": 1444.97, "word": " X", "probability": 0.98974609375}, {"start": 1444.97, "end": 1445.33, "word": " أصغر", "probability": 0.9854736328125}, {"start": 1445.33, "end": 1445.61, "word": " وشوى", "probability": 0.459686279296875}, {"start": 1445.61, "end": 1445.95, "word": " Y", "probability": 0.293212890625}, {"start": 1445.95, "end": 1447.59, "word": " لكل", "probability": 0.97412109375}, {"start": 1447.59, "end": 1448.07, "word": " X", "probability": 0.90966796875}, {"start": 1448.07, "end": 1448.43, "word": " وين", "probability": 0.613037109375}, {"start": 1448.43, "end": 1449.55, "word": " موجودة", "probability": 0.9842529296875}, {"start": 1449.55, "end": 1450.15, "word": " في", "probability": 0.96240234375}, {"start": 1450.15, "end": 1450.79, "word": " الفترة", "probability": 0.9894205729166666}, {"start": 1450.79, "end": 1451.55, "word": " A", "probability": 0.3916015625}, {"start": 1451.55, "end": 1452.79, "word": " ماقص", "probability": 0.699554443359375}, {"start": 1452.79, "end": 1453.31, "word": " A", "probability": 0.84521484375}, {"start": 1453.31, "end": 1454.01, "word": " أو", "probability": 0.93115234375}, {"start": 1454.01, "end": 1454.37, "word": " A", "probability": 0.8017578125}, {"start": 1454.37, "end": 1455.25, "word": " ماشي", "probability": 0.8326822916666666}, {"start": 1455.25, "end": 1455.73, "word": " الحال", "probability": 0.98681640625}, {"start": 1455.73, "end": 1457.19, "word": " الآن", "probability": 0.771728515625}, {"start": 1457.19, "end": 1458.53, "word": " بناء", "probability": 0.930419921875}, {"start": 1458.53, "end": 1459.05, "word": " عليه", "probability": 0.88525390625}], "temperature": 1.0}, {"id": 65, "seek": 147488, "start": 1459.92, "end": 1474.88, "text": "الان لكل X بغض النظر على ال X اللي هو بي��ون عندي أنه I'm very large وبيعطيني هذا أصغر وسوء من إبسلون وهذه اللي سميناها Cauchy's criterion for uniform", "tokens": [6027, 7649, 5296, 28820, 1783, 4724, 17082, 11242, 28239, 19913, 2288, 15844, 2423, 1783, 13672, 1829, 31439, 4724, 1829, 30544, 18871, 16254, 14739, 3224, 286, 478, 588, 2416, 4032, 21292, 3615, 9566, 1829, 22653, 23758, 5551, 9381, 17082, 2288, 46952, 2407, 38207, 9154, 11933, 3555, 3794, 1211, 11536, 37037, 24192, 13672, 1829, 8608, 2304, 1829, 8315, 11296, 7544, 625, 88, 311, 46691, 337, 9452], "avg_logprob": -0.32091346153846156, "compression_ratio": 1.3011363636363635, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 1459.92, "end": 1460.58, "word": "الان", "probability": 0.69384765625}, {"start": 1460.58, "end": 1461.4, "word": " لكل", "probability": 0.91455078125}, {"start": 1461.4, "end": 1461.68, "word": " X", "probability": 0.59228515625}, {"start": 1461.68, "end": 1462.1, "word": " بغض", "probability": 0.9230143229166666}, {"start": 1462.1, "end": 1462.5, "word": " النظر", "probability": 0.97705078125}, {"start": 1462.5, "end": 1462.6, "word": " على", "probability": 0.463134765625}, {"start": 1462.6, "end": 1462.72, "word": " ال", "probability": 0.442626953125}, {"start": 1462.72, "end": 1463.16, "word": " X", "probability": 0.57666015625}, {"start": 1463.16, "end": 1463.98, "word": " اللي", "probability": 0.7978515625}, {"start": 1463.98, "end": 1464.08, "word": " هو", "probability": 0.947265625}, {"start": 1464.08, "end": 1464.42, "word": " بيكون", "probability": 0.7415364583333334}, {"start": 1464.42, "end": 1464.9, "word": " عندي", "probability": 0.692138671875}, {"start": 1464.9, "end": 1465.72, "word": " أنه", "probability": 0.550537109375}, {"start": 1465.72, "end": 1466.24, "word": " I'm", "probability": 0.63232421875}, {"start": 1466.24, "end": 1466.86, "word": " very", "probability": 0.87841796875}, {"start": 1466.86, "end": 1467.3, "word": " large", "probability": 0.96337890625}, {"start": 1467.3, "end": 1467.8, "word": " وبيعطيني", "probability": 0.664306640625}, {"start": 1467.8, "end": 1468.0, "word": " هذا", "probability": 0.9521484375}, {"start": 1468.0, "end": 1468.32, "word": " أصغر", "probability": 0.9569091796875}, {"start": 1468.32, "end": 1468.64, "word": " وسوء", "probability": 0.4844563802083333}, {"start": 1468.64, "end": 1468.74, "word": " من", "probability": 0.767578125}, {"start": 1468.74, "end": 1469.94, "word": " إبسلون", "probability": 0.7298828125}, {"start": 1469.94, "end": 1470.3, "word": " وهذه", "probability": 0.600341796875}, {"start": 1470.3, "end": 1470.4, "word": " اللي", "probability": 0.969970703125}, {"start": 1470.4, "end": 1471.2, "word": " سميناها", "probability": 0.819970703125}, {"start": 1471.2, "end": 1472.56, "word": " Cauchy's", "probability": 0.756103515625}, {"start": 1472.56, "end": 1473.32, "word": " criterion", "probability": 0.68994140625}, {"start": 1473.32, "end": 1474.22, "word": " for", "probability": 0.9541015625}, {"start": 1474.22, "end": 1474.88, "word": " uniform", "probability": 0.958984375}], "temperature": 1.0}, {"id": 66, "seek": 149697, "start": 1475.61, "end": 1496.97, "text": "اللي هو convergence في ال .. اللي هو section 81 بناء عليها بطلع عندى E and اللي هو converges uniformly to some function مش عارفينها اللي هي .. اللي هي converges uniformly on mean سالب a أو a باشي الحالة الال", "tokens": [6027, 20292, 31439, 32181, 8978, 2423, 4386, 13672, 1829, 31439, 3541, 30827, 44945, 16606, 25894, 11296, 4724, 9566, 1211, 3615, 43242, 7578, 462, 293, 13672, 1829, 31439, 9652, 2880, 48806, 281, 512, 2445, 37893, 6225, 9640, 5172, 9957, 11296, 13672, 1829, 39896, 4386, 13672, 1829, 39896, 9652, 2880, 48806, 322, 914, 8608, 6027, 3555, 257, 34051, 257, 4724, 33599, 1829, 21542, 6027, 3660, 2423, 6027], "avg_logprob": -0.3619791680213177, "compression_ratio": 1.591160220994475, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1475.61, "end": 1475.93, "word": "اللي", "probability": 0.498291015625}, {"start": 1475.93, "end": 1476.21, "word": " هو", "probability": 0.84814453125}, {"start": 1476.21, "end": 1476.79, "word": " convergence", "probability": 0.8134765625}, {"start": 1476.79, "end": 1477.13, "word": " في", "probability": 0.7744140625}, {"start": 1477.13, "end": 1477.23, "word": " ال", "probability": 0.419921875}, {"start": 1477.23, "end": 1477.47, "word": " ..", "probability": 0.20556640625}, {"start": 1477.47, "end": 1478.31, "word": " اللي", "probability": 0.71630859375}, {"start": 1478.31, "end": 1478.47, "word": " هو", "probability": 0.8291015625}, {"start": 1478.47, "end": 1478.75, "word": " section", "probability": 0.51171875}, {"start": 1478.75, "end": 1479.31, "word": " 81", "probability": 0.4892578125}, {"start": 1479.31, "end": 1480.39, "word": " بناء", "probability": 0.83837890625}, {"start": 1480.39, "end": 1480.87, "word": " عليها", "probability": 0.828125}, {"start": 1480.87, "end": 1481.23, "word": " بطلع", "probability": 0.748779296875}, {"start": 1481.23, "end": 1481.65, "word": " عندى", "probability": 0.5025634765625}, {"start": 1481.65, "end": 1482.05, "word": " E", "probability": 0.30712890625}, {"start": 1482.05, "end": 1482.61, "word": " and", "probability": 0.548828125}, {"start": 1482.61, "end": 1483.59, "word": " اللي", "probability": 0.870849609375}, {"start": 1483.59, "end": 1483.87, "word": " هو", "probability": 0.93212890625}, {"start": 1483.87, "end": 1484.99, "word": " converges", "probability": 0.702392578125}, {"start": 1484.99, "end": 1485.73, "word": " uniformly", "probability": 0.9775390625}, {"start": 1485.73, "end": 1486.03, "word": " to", "probability": 0.91650390625}, {"start": 1486.03, "end": 1486.35, "word": " some", "probability": 0.908203125}, {"start": 1486.35, "end": 1486.87, "word": " function", "probability": 0.9619140625}, {"start": 1486.87, "end": 1487.09, "word": " مش", "probability": 0.98974609375}, {"start": 1487.09, "end": 1487.97, "word": " عارفينها", "probability": 0.9884765625}, {"start": 1487.97, "end": 1488.79, "word": " اللي", "probability": 0.955810546875}, {"start": 1488.79, "end": 1489.19, "word": " هي", "probability": 0.89013671875}, {"start": 1489.19, "end": 1489.49, "word": " ..", "probability": 0.4013671875}, {"start": 1489.49, "end": 1489.75, "word": " اللي", "probability": 0.9736328125}, {"start": 1489.75, "end": 1489.89, "word": " هي", "probability": 0.8681640625}, {"start": 1489.89, "end": 1490.37, "word": " converges", "probability": 0.79833984375}, {"start": 1490.37, "end": 1490.87, "word": " uniformly", "probability": 0.9833984375}, {"start": 1490.87, "end": 1491.41, "word": " on", "probability": 0.90380859375}, {"start": 1491.41, "end": 1492.03, "word": " mean", "probability": 0.2919921875}, {"start": 1492.03, "end": 1492.81, "word": " سالب", "probability": 0.7880859375}, {"start": 1492.81, "end": 1493.19, "word": " a", "probability": 0.21484375}, {"start": 1493.19, "end": 1493.95, "word": " أو", "probability": 0.84423828125}, {"start": 1493.95, "end": 1494.21, "word": " a", "probability": 0.5625}, {"start": 1494.21, "end": 1495.35, "word": " باشي", "probability": 0.5463053385416666}, {"start": 1495.35, "end": 1496.03, "word": " الحالة", "probability": 0.9518229166666666}, {"start": 1496.03, "end": 1496.97, "word": " الال", "probability": 0.4775390625}], "temperature": 1.0}, {"id": 67, "seek": 151543, "start": 1498.39, "end": 1515.43, "text": "الآن عندي it follows the sequence a and a converge uniformly on the interval ناقص a و a where a أكبر من 0 لكن a أكبر من 0 was a شمالها arbitrarily يعني اللي وصلنا له ما ياليا يا جماعة اللي وصلنا له أنه", "tokens": [6027, 148, 48506, 18871, 16254, 309, 10002, 264, 8310, 257, 293, 257, 41881, 48806, 322, 264, 15035, 8717, 995, 4587, 9381, 257, 4032, 257, 689, 257, 5551, 4117, 26890, 9154, 1958, 44381, 257, 5551, 4117, 26890, 9154, 1958, 390, 257, 13412, 2304, 6027, 11296, 19071, 3289, 37495, 22653, 13672, 1829, 4032, 36520, 8315, 46740, 19446, 7251, 6027, 25528, 35186, 10874, 15042, 27884, 13672, 1829, 4032, 36520, 8315, 46740, 14739, 3224], "avg_logprob": -0.29775528001113677, "compression_ratio": 1.5191256830601092, "no_speech_prob": 4.6372413635253906e-05, "words": [{"start": 1498.39, "end": 1498.99, "word": "الآن", "probability": 0.55859375}, {"start": 1498.99, "end": 1499.59, "word": " عندي", "probability": 0.7294921875}, {"start": 1499.59, "end": 1499.77, "word": " it", "probability": 0.6015625}, {"start": 1499.77, "end": 1500.21, "word": " follows", "probability": 0.9013671875}, {"start": 1500.21, "end": 1500.41, "word": " the", "probability": 0.8759765625}, {"start": 1500.41, "end": 1500.95, "word": " sequence", "probability": 0.97021484375}, {"start": 1500.95, "end": 1501.09, "word": " a", "probability": 0.1390380859375}, {"start": 1501.09, "end": 1501.25, "word": " and", "probability": 0.45556640625}, {"start": 1501.25, "end": 1501.53, "word": " a", "probability": 0.285888671875}, {"start": 1501.53, "end": 1501.65, "word": " converge", "probability": 0.11785888671875}, {"start": 1501.65, "end": 1502.35, "word": " uniformly", "probability": 0.96826171875}, {"start": 1502.35, "end": 1502.61, "word": " on", "probability": 0.87060546875}, {"start": 1502.61, "end": 1502.77, "word": " the", "probability": 0.84912109375}, {"start": 1502.77, "end": 1503.37, "word": " interval", "probability": 0.96826171875}, {"start": 1503.37, "end": 1503.97, "word": " ناقص", "probability": 0.78521728515625}, {"start": 1503.97, "end": 1504.33, "word": " a", "probability": 0.85400390625}, {"start": 1504.33, "end": 1504.59, "word": " و", "probability": 0.6025390625}, {"start": 1504.59, "end": 1504.79, "word": " a", "probability": 0.724609375}, {"start": 1504.79, "end": 1505.07, "word": " where", "probability": 0.8251953125}, {"start": 1505.07, "end": 1505.31, "word": " a", "probability": 0.96337890625}, {"start": 1505.31, "end": 1505.65, "word": " ��كبر", "probability": 0.82275390625}, {"start": 1505.65, "end": 1505.83, "word": " من", "probability": 0.990234375}, {"start": 1505.83, "end": 1506.03, "word": " 0", "probability": 0.3837890625}, {"start": 1506.03, "end": 1506.79, "word": " لكن", "probability": 0.7626953125}, {"start": 1506.79, "end": 1507.21, "word": " a", "probability": 0.953125}, {"start": 1507.21, "end": 1507.57, "word": " أكبر", "probability": 0.9602864583333334}, {"start": 1507.57, "end": 1507.75, "word": " من", "probability": 0.99560546875}, {"start": 1507.75, "end": 1507.97, "word": " 0", "probability": 0.869140625}, {"start": 1507.97, "end": 1508.27, "word": " was", "probability": 0.7578125}, {"start": 1508.27, "end": 1508.53, "word": " a", "probability": 0.75732421875}, {"start": 1508.53, "end": 1509.17, "word": " شمالها", "probability": 0.9410400390625}, {"start": 1509.17, "end": 1510.47, "word": " arbitrarily", "probability": 0.797119140625}, {"start": 1510.47, "end": 1511.11, "word": " يعني", "probability": 0.927490234375}, {"start": 1511.11, "end": 1511.25, "word": " اللي", "probability": 0.692626953125}, {"start": 1511.25, "end": 1511.67, "word": " وصلنا", "probability": 0.96826171875}, {"start": 1511.67, "end": 1511.83, "word": " له", "probability": 0.428955078125}, {"start": 1511.83, "end": 1512.01, "word": " ما", "probability": 0.9228515625}, {"start": 1512.01, "end": 1512.33, "word": " ياليا", "probability": 0.68505859375}, {"start": 1512.33, "end": 1512.49, "word": " يا", "probability": 0.923828125}, {"start": 1512.49, "end": 1512.97, "word": " جماعة", "probability": 0.9947916666666666}, {"start": 1512.97, "end": 1513.37, "word": " اللي", "probability": 0.877197265625}, {"start": 1513.37, "end": 1513.91, "word": " وصلنا", "probability": 0.9944661458333334}, {"start": 1513.91, "end": 1514.21, "word": " له", "probability": 0.6103515625}, {"start": 1514.21, "end": 1515.43, "word": " أنه", "probability": 0.734619140625}], "temperature": 1.0}, {"id": 68, "seek": 154511, "start": 1516.03, "end": 1545.11, "text": "عندي اللي هي الـ sequence هذه لو جيت أخدت for every a element in R و a أكبر من سفر لو وصلنا له اللي كانت a arbitrarily وجدنا أنه هيكون عند الـ EL converges uniformly on ماقص a و مين و a ماشي الحال طيب بناء عليه لو أنت جيت أخدت خد الآن let", "tokens": [3615, 1863, 16254, 13672, 1829, 39896, 2423, 39184, 8310, 29538, 45164, 10874, 36081, 5551, 9778, 3215, 2655, 337, 633, 257, 4478, 294, 497, 4032, 257, 5551, 4117, 26890, 9154, 8608, 5172, 2288, 45164, 4032, 36520, 8315, 46740, 13672, 1829, 25961, 2655, 257, 19071, 3289, 49610, 3215, 8315, 14739, 3224, 39896, 30544, 43242, 2423, 39184, 14426, 9652, 2880, 48806, 322, 19446, 4587, 9381, 257, 4032, 3714, 9957, 4032, 257, 3714, 33599, 1829, 21542, 6027, 23032, 1829, 3555, 44945, 16606, 47356, 45164, 14739, 2655, 10874, 36081, 5551, 9778, 3215, 2655, 16490, 3215, 6024, 48506, 718], "avg_logprob": -0.291722076370361, "compression_ratio": 1.5213675213675213, "no_speech_prob": 2.3245811462402344e-06, "words": [{"start": 1516.03, "end": 1516.95, "word": "عندي", "probability": 0.8544921875}, {"start": 1516.95, "end": 1517.89, "word": " اللي", "probability": 0.781982421875}, {"start": 1517.89, "end": 1518.11, "word": " هي", "probability": 0.94287109375}, {"start": 1518.11, "end": 1518.39, "word": " الـ", "probability": 0.77978515625}, {"start": 1518.39, "end": 1519.01, "word": " sequence", "probability": 0.6259765625}, {"start": 1519.01, "end": 1519.59, "word": " هذه", "probability": 0.7412109375}, {"start": 1519.59, "end": 1520.35, "word": " لو", "probability": 0.755859375}, {"start": 1520.35, "end": 1520.81, "word": " جيت", "probability": 0.6378173828125}, {"start": 1520.81, "end": 1521.37, "word": " أخدت", "probability": 0.92431640625}, {"start": 1521.37, "end": 1521.71, "word": " for", "probability": 0.8662109375}, {"start": 1521.71, "end": 1522.21, "word": " every", "probability": 0.8154296875}, {"start": 1522.21, "end": 1522.61, "word": " a", "probability": 0.67236328125}, {"start": 1522.61, "end": 1523.21, "word": " element", "probability": 0.72509765625}, {"start": 1523.21, "end": 1523.57, "word": " in", "probability": 0.6806640625}, {"start": 1523.57, "end": 1523.91, "word": " R", "probability": 0.94287109375}, {"start": 1523.91, "end": 1524.13, "word": " و", "probability": 0.7958984375}, {"start": 1524.13, "end": 1524.27, "word": " a", "probability": 0.54052734375}, {"start": 1524.27, "end": 1524.69, "word": " أكبر", "probability": 0.9212239583333334}, {"start": 1524.69, "end": 1524.89, "word": " من", "probability": 0.99560546875}, {"start": 1524.89, "end": 1525.27, "word": " سفر", "probability": 0.682373046875}, {"start": 1525.27, "end": 1526.15, "word": " لو", "probability": 0.41943359375}, {"start": 1526.15, "end": 1526.49, "word": " وصلنا", "probability": 0.8385416666666666}, {"start": 1526.49, "end": 1526.63, "word": " له", "probability": 0.2181396484375}, {"start": 1526.63, "end": 1526.75, "word": " اللي", "probability": 0.6580810546875}, {"start": 1526.75, "end": 1527.05, "word": " كانت", "probability": 0.93798828125}, {"start": 1527.05, "end": 1527.13, "word": " a", "probability": 0.8134765625}, {"start": 1527.13, "end": 1527.73, "word": " arbitrarily", "probability": 0.75146484375}, {"start": 1527.73, "end": 1528.35, "word": " وجدنا", "probability": 0.919921875}, {"start": 1528.35, "end": 1528.67, "word": " أنه", "probability": 0.690673828125}, {"start": 1528.67, "end": 1529.17, "word": " هيكون", "probability": 0.6829833984375}, {"start": 1529.17, "end": 1529.51, "word": " عند", "probability": 0.94384765625}, {"start": 1529.51, "end": 1529.89, "word": " الـ", "probability": 0.56256103515625}, {"start": 1529.89, "end": 1530.37, "word": " EL", "probability": 0.115478515625}, {"start": 1530.37, "end": 1532.13, "word": " converges", "probability": 0.740966796875}, {"start": 1532.13, "end": 1533.09, "word": " uniformly", "probability": 0.95263671875}, {"start": 1533.09, "end": 1533.95, "word": " on", "probability": 0.93408203125}, {"start": 1533.95, "end": 1534.85, "word": " ماقص", "probability": 0.7262369791666666}, {"start": 1534.85, "end": 1535.39, "word": " a", "probability": 0.78076171875}, {"start": 1535.39, "end": 1535.83, "word": " و", "probability": 0.9697265625}, {"start": 1535.83, "end": 1536.39, "word": " مين", "probability": 0.6451416015625}, {"start": 1536.39, "end": 1536.87, "word": " و", "probability": 0.87890625}, {"start": 1536.87, "end": 1537.11, "word": " a", "probability": 0.7275390625}, {"start": 1537.11, "end": 1537.67, "word": " ماشي", "probability": 0.8142903645833334}, {"start": 1537.67, "end": 1538.05, "word": " الحال", "probability": 0.884765625}, {"start": 1538.05, "end": 1538.93, "word": " طيب", "probability": 0.84423828125}, {"start": 1538.93, "end": 1539.55, "word": " بناء", "probability": 0.92431640625}, {"start": 1539.55, "end": 1540.13, "word": " عليه", "probability": 0.92041015625}, {"start": 1540.13, "end": 1541.15, "word": " لو", "probability": 0.94189453125}, {"start": 1541.15, "end": 1541.51, "word": " أنت", "probability": 0.769775390625}, {"start": 1541.51, "end": 1541.97, "word": " جيت", "probability": 0.7281494140625}, {"start": 1541.97, "end": 1542.81, "word": " أخدت", "probability": 0.969970703125}, {"start": 1542.81, "end": 1543.57, "word": " خد", "probability": 0.883056640625}, {"start": 1543.57, "end": 1543.97, "word": " الآن", "probability": 0.795166015625}, {"start": 1543.97, "end": 1545.11, "word": " let", "probability": 0.6728515625}], "temperature": 1.0}, {"id": 69, "seek": 155674, "start": 1545.92, "end": 1556.74, "text": "X element in R، أي X element in R، مدام X في R، إذا أكيد الـ X عشر، عشرين، تلاتين، مليون، ممكن ما تكون،", "tokens": [55, 4478, 294, 497, 12399, 36632, 1783, 4478, 294, 497, 12399, 3714, 3215, 10943, 1783, 8978, 497, 12399, 11933, 15730, 5551, 4117, 25708, 2423, 39184, 1783, 6225, 46309, 12399, 6225, 46309, 9957, 12399, 6055, 1211, 9307, 9957, 12399, 3714, 20292, 11536, 12399, 3714, 43020, 19446, 6055, 30544, 12399], "avg_logprob": -0.2936862244897959, "compression_ratio": 1.3859649122807018, "no_speech_prob": 2.2649765014648438e-06, "words": [{"start": 1545.92, "end": 1546.46, "word": "X", "probability": 0.304931640625}, {"start": 1546.46, "end": 1547.04, "word": " element", "probability": 0.54736328125}, {"start": 1547.04, "end": 1547.4, "word": " in", "probability": 0.8955078125}, {"start": 1547.4, "end": 1548.0, "word": " R،", "probability": 0.524261474609375}, {"start": 1548.0, "end": 1548.2, "word": " أي", "probability": 0.55712890625}, {"start": 1548.2, "end": 1548.46, "word": " X", "probability": 0.95703125}, {"start": 1548.46, "end": 1548.78, "word": " element", "probability": 0.890625}, {"start": 1548.78, "end": 1549.06, "word": " in", "probability": 0.48291015625}, {"start": 1549.06, "end": 1549.7, "word": " R،", "probability": 0.7008056640625}, {"start": 1549.7, "end": 1550.1, "word": " مدام", "probability": 0.8126627604166666}, {"start": 1550.1, "end": 1550.38, "word": " X", "probability": 0.958984375}, {"start": 1550.38, "end": 1550.58, "word": " في", "probability": 0.9833984375}, {"start": 1550.58, "end": 1551.62, "word": " R،", "probability": 0.89794921875}, {"start": 1551.62, "end": 1551.88, "word": " إذا", "probability": 0.8017578125}, {"start": 1551.88, "end": 1552.4, "word": " أكيد", "probability": 0.91845703125}, {"start": 1552.4, "end": 1552.6, "word": " الـ", "probability": 0.70556640625}, {"start": 1552.6, "end": 1552.82, "word": " X", "probability": 0.95703125}, {"start": 1552.82, "end": 1553.54, "word": " عشر،", "probability": 0.7747395833333334}, {"start": 1553.54, "end": 1554.04, "word": " عشرين،", "probability": 0.968017578125}, {"start": 1554.04, "end": 1554.48, "word": " تلاتين،", "probability": 0.96044921875}, {"start": 1554.48, "end": 1555.24, "word": " مليون،", "probability": 0.82147216796875}, {"start": 1555.24, "end": 1555.68, "word": " ممكن", "probability": 0.3970947265625}, {"start": 1555.68, "end": 1555.94, "word": " ما", "probability": 0.677734375}, {"start": 1555.94, "end": 1556.74, "word": " تكون،", "probability": 0.9754231770833334}], "temperature": 1.0}, {"id": 70, "seek": 157849, "start": 1557.05, "end": 1578.49, "text": "بقدر ألاقي A بحيث أن X تنتمي إلى الفترة من ناقص A لعند مين لعند إيه يعني مثلا ال X لجيتها 100 باخد ال A 110 بصير ال X بين اللي هي ناقص 110 و100 إيش ما تيجي X بلاقي لها A", "tokens": [3555, 28543, 2288, 5551, 15040, 38436, 316, 4724, 5016, 1829, 12984, 14739, 1783, 6055, 29399, 2304, 1829, 30731, 27188, 2655, 25720, 9154, 8717, 995, 4587, 9381, 316, 5296, 3615, 41260, 3714, 9957, 5296, 3615, 41260, 11933, 1829, 3224, 37495, 22653, 50113, 15040, 2423, 1783, 5296, 7435, 36081, 11296, 2319, 4724, 47283, 3215, 2423, 316, 20154, 4724, 9381, 13546, 2423, 1783, 49374, 13672, 1829, 39896, 8717, 995, 4587, 9381, 20154, 4032, 6879, 11933, 1829, 8592, 19446, 6055, 1829, 7435, 1829, 1783, 4724, 15040, 38436, 5296, 11296, 316], "avg_logprob": -0.24461207513151498, "compression_ratio": 1.6488095238095237, "no_speech_prob": 1.0728836059570312e-06, "words": [{"start": 1557.05, "end": 1557.93, "word": "بقدر", "probability": 0.9142252604166666}, {"start": 1557.93, "end": 1558.67, "word": " ألاقي", "probability": 0.751953125}, {"start": 1558.67, "end": 1559.25, "word": " A", "probability": 0.236083984375}, {"start": 1559.25, "end": 1560.69, "word": " بحيث", "probability": 0.9613037109375}, {"start": 1560.69, "end": 1561.05, "word": " أن", "probability": 0.321044921875}, {"start": 1561.05, "end": 1561.75, "word": " X", "probability": 0.89501953125}, {"start": 1561.75, "end": 1562.95, "word": " تنتمي", "probability": 0.9588623046875}, {"start": 1562.95, "end": 1563.15, "word": " إلى", "probability": 0.9013671875}, {"start": 1563.15, "end": 1563.69, "word": " الفترة", "probability": 0.95947265625}, {"start": 1563.69, "end": 1563.87, "word": " من", "probability": 0.95751953125}, {"start": 1563.87, "end": 1564.39, "word": " ناقص", "probability": 0.91943359375}, {"start": 1564.39, "end": 1564.59, "word": " A", "probability": 0.81103515625}, {"start": 1564.59, "end": 1564.97, "word": " لعند", "probability": 0.7932942708333334}, {"start": 1564.97, "end": 1565.45, "word": " مين", "probability": 0.49267578125}, {"start": 1565.45, "end": 1565.89, "word": " لعند", "probability": 0.8605143229166666}, {"start": 1565.89, "end": 1566.11, "word": " إيه", "probability": 0.7809244791666666}, {"start": 1566.11, "end": 1566.69, "word": " يعني", "probability": 0.7255859375}, {"start": 1566.69, "end": 1567.03, "word": " مثلا", "probability": 0.966064453125}, {"start": 1567.03, "end": 1567.19, "word": " ال", "probability": 0.5302734375}, {"start": 1567.19, "end": 1567.41, "word": " X", "probability": 0.70947265625}, {"start": 1567.41, "end": 1568.03, "word": " لجيتها", "probability": 0.7901611328125}, {"start": 1568.03, "end": 1568.61, "word": " 100", "probability": 0.62109375}, {"start": 1568.61, "end": 1569.79, "word": " باخد", "probability": 0.9401041666666666}, {"start": 1569.79, "end": 1569.95, "word": " ال", "probability": 0.873046875}, {"start": 1569.95, "end": 1570.13, "word": " A", "probability": 0.91015625}, {"start": 1570.13, "end": 1570.75, "word": " 110", "probability": 0.78466796875}, {"start": 1570.75, "end": 1571.59, "word": " بصير", "probability": 0.6571451822916666}, {"start": 1571.59, "end": 1571.73, "word": " ال", "probability": 0.76318359375}, {"start": 1571.73, "end": 1571.99, "word": " X", "probability": 0.99072265625}, {"start": 1571.99, "end": 1572.29, "word": " بين", "probability": 0.943359375}, {"start": 1572.29, "end": 1572.43, "word": " اللي", "probability": 0.96728515625}, {"start": 1572.43, "end": 1572.59, "word": " هي", "probability": 0.36474609375}, {"start": 1572.59, "end": 1573.01, "word": " ناقص", "probability": 0.9891357421875}, {"start": 1573.01, "end": 1573.59, "word": " 110", "probability": 0.82080078125}, {"start": 1573.59, "end": 1574.63, "word": " و100", "probability": 0.580322265625}, {"start": 1574.63, "end": 1575.99, "word": " إيش", "probability": 0.6009928385416666}, {"start": 1575.99, "end": 1576.21, "word": " ما", "probability": 0.385986328125}, {"start": 1576.21, "end": 1576.97, "word": " تيجي", "probability": 0.9700927734375}, {"start": 1576.97, "end": 1577.35, "word": " X", "probability": 0.9814453125}, {"start": 1577.35, "end": 1577.85, "word": " بلاقي", "probability": 0.6917317708333334}, {"start": 1577.85, "end": 1578.17, "word": " لها", "probability": 0.809326171875}, {"start": 1578.17, "end": 1578.49, "word": " A", "probability": 0.9599609375}], "temperature": 1.0}, {"id": 71, "seek": 159439, "start": 1579.33, "end": 1594.39, "text": "إذا there exists a such that x element in a minus a أكبر من صفر طبعا minus a ومين أو a أكيد طب ما هو ��حنا قد أثبتنا انه لكل a element in R", "tokens": [28814, 15730, 456, 8198, 257, 1270, 300, 2031, 4478, 294, 257, 3175, 257, 5551, 4117, 26890, 9154, 20328, 5172, 2288, 23032, 3555, 3615, 995, 3175, 257, 4032, 2304, 9957, 34051, 257, 5551, 4117, 25708, 23032, 3555, 19446, 31439, 1975, 5016, 8315, 12174, 3215, 5551, 12984, 3555, 2655, 8315, 16472, 3224, 5296, 28820, 257, 4478, 294, 497], "avg_logprob": -0.38651316207751896, "compression_ratio": 1.3146853146853146, "no_speech_prob": 2.9802322387695312e-06, "words": [{"start": 1579.33, "end": 1579.69, "word": "إذا", "probability": 0.552490234375}, {"start": 1579.69, "end": 1580.05, "word": " there", "probability": 0.1529541015625}, {"start": 1580.05, "end": 1580.83, "word": " exists", "probability": 0.492919921875}, {"start": 1580.83, "end": 1581.37, "word": " a", "probability": 0.57373046875}, {"start": 1581.37, "end": 1582.59, "word": " such", "probability": 0.7646484375}, {"start": 1582.59, "end": 1583.03, "word": " that", "probability": 0.95068359375}, {"start": 1583.03, "end": 1583.39, "word": " x", "probability": 0.68603515625}, {"start": 1583.39, "end": 1583.89, "word": " element", "probability": 0.78076171875}, {"start": 1583.89, "end": 1584.23, "word": " in", "probability": 0.9267578125}, {"start": 1584.23, "end": 1584.47, "word": " a", "probability": 0.326904296875}, {"start": 1584.47, "end": 1584.93, "word": " minus", "probability": 0.76171875}, {"start": 1584.93, "end": 1585.35, "word": " a", "probability": 0.935546875}, {"start": 1585.35, "end": 1586.09, "word": " أكبر", "probability": 0.6912841796875}, {"start": 1586.09, "end": 1586.21, "word": " من", "probability": 0.96630859375}, {"start": 1586.21, "end": 1586.41, "word": " صفر", "probability": 0.7876790364583334}, {"start": 1586.41, "end": 1586.69, "word": " طبعا", "probability": 0.853759765625}, {"start": 1586.69, "end": 1587.25, "word": " minus", "probability": 0.463134765625}, {"start": 1587.25, "end": 1587.61, "word": " a", "probability": 0.8486328125}, {"start": 1587.61, "end": 1588.23, "word": " ومين", "probability": 0.650390625}, {"start": 1588.23, "end": 1588.89, "word": " أو", "probability": 0.701171875}, {"start": 1588.89, "end": 1589.27, "word": " a", "probability": 0.85205078125}, {"start": 1589.27, "end": 1590.23, "word": " أكيد", "probability": 0.90966796875}, {"start": 1590.23, "end": 1591.41, "word": " طب", "probability": 0.657470703125}, {"start": 1591.41, "end": 1591.51, "word": " ما", "probability": 0.716796875}, {"start": 1591.51, "end": 1591.79, "word": " هو", "probability": 0.9775390625}, {"start": 1591.79, "end": 1592.15, "word": " احنا", "probability": 0.8767903645833334}, {"start": 1592.15, "end": 1592.33, "word": " قد", "probability": 0.54595947265625}, {"start": 1592.33, "end": 1592.77, "word": " أثبتنا", "probability": 0.95673828125}, {"start": 1592.77, "end": 1593.09, "word": " انه", "probability": 0.5970458984375}, {"start": 1593.09, "end": 1593.53, "word": " لكل", "probability": 0.957275390625}, {"start": 1593.53, "end": 1593.69, "word": " a", "probability": 0.69970703125}, {"start": 1593.69, "end": 1594.01, "word": " element", "probability": 0.96240234375}, {"start": 1594.01, "end": 1594.23, "word": " in", "probability": 0.80615234375}, {"start": 1594.23, "end": 1594.39, "word": " R", "probability": 0.96875}], "temperature": 1.0}, {"id": 72, "seek": 161219, "start": 1598.87, "end": 1612.19, "text": "Converge uniformly للـ A اللي لاجناها هذه On ناقص A و A لهذه الـ A يعني بمعنى معناه مادام Converge uniformly لإذا E N of X", "tokens": [9838, 331, 432, 48806, 24976, 39184, 316, 13672, 1829, 20193, 7435, 8315, 11296, 29538, 1282, 8717, 995, 4587, 9381, 316, 4032, 316, 46740, 24192, 2423, 39184, 316, 37495, 22653, 4724, 2304, 3615, 1863, 7578, 20449, 8315, 3224, 3714, 18513, 10943, 2656, 331, 432, 48806, 5296, 28814, 15730, 462, 426, 295, 1783], "avg_logprob": -0.3632812603161885, "compression_ratio": 1.359375, "no_speech_prob": 1.1920928955078125e-06, "words": [{"start": 1598.87, "end": 1599.77, "word": "Converge", "probability": 0.62109375}, {"start": 1599.77, "end": 1600.53, "word": " uniformly", "probability": 0.9599609375}, {"start": 1600.53, "end": 1601.31, "word": " للـ", "probability": 0.607666015625}, {"start": 1601.31, "end": 1601.47, "word": " A", "probability": 0.25}, {"start": 1601.47, "end": 1601.63, "word": " اللي", "probability": 0.843505859375}, {"start": 1601.63, "end": 1602.27, "word": " لاجناها", "probability": 0.71380615234375}, {"start": 1602.27, "end": 1602.85, "word": " هذه", "probability": 0.4111328125}, {"start": 1602.85, "end": 1603.65, "word": " On", "probability": 0.310546875}, {"start": 1603.65, "end": 1604.73, "word": " ناقص", "probability": 0.82379150390625}, {"start": 1604.73, "end": 1604.99, "word": " A", "probability": 0.44482421875}, {"start": 1604.99, "end": 1605.21, "word": " و", "probability": 0.759765625}, {"start": 1605.21, "end": 1605.55, "word": " A", "probability": 0.515625}, {"start": 1605.55, "end": 1606.53, "word": " لهذه", "probability": 0.818603515625}, {"start": 1606.53, "end": 1606.71, "word": " الـ", "probability": 0.806884765625}, {"start": 1606.71, "end": 1606.93, "word": " A", "probability": 0.8046875}, {"start": 1606.93, "end": 1607.85, "word": " يعني", "probability": 0.7392578125}, {"start": 1607.85, "end": 1608.33, "word": " بمعنى", "probability": 0.9583984375}, {"start": 1608.33, "end": 1608.89, "word": " معناه", "probability": 0.7281087239583334}, {"start": 1608.89, "end": 1609.23, "word": " مادام", "probability": 0.614013671875}, {"start": 1609.23, "end": 1609.69, "word": " Converge", "probability": 0.8232421875}, {"start": 1609.69, "end": 1610.17, "word": " uniformly", "probability": 0.951171875}, {"start": 1610.17, "end": 1610.55, "word": " لإذا", "probability": 0.6751302083333334}, {"start": 1610.55, "end": 1610.95, "word": " E", "probability": 0.55126953125}, {"start": 1610.95, "end": 1611.29, "word": " N", "probability": 0.436767578125}, {"start": 1611.29, "end": 1611.63, "word": " of", "probability": 0.88134765625}, {"start": 1611.63, "end": 1612.19, "word": " X", "probability": 0.9833984375}], "temperature": 1.0}, {"id": 73, "seek": 163069, "start": 1612.93, "end": 1630.69, "text": "اللي هو converges point-wise to some function عند مين؟ عند الـ X اللي أخدتها هانا هذه إذا الأن for any X element in R for any X element in R هنلاقي E N of X converges", "tokens": [6027, 20292, 31439, 9652, 2880, 935, 12, 3711, 281, 512, 2445, 43242, 3714, 9957, 22807, 43242, 2423, 39184, 1783, 13672, 1829, 5551, 9778, 3215, 2655, 11296, 8032, 7649, 995, 29538, 11933, 15730, 16247, 1863, 337, 604, 1783, 4478, 294, 497, 337, 604, 1783, 4478, 294, 497, 8032, 1863, 15040, 38436, 462, 426, 295, 1783, 9652, 2880], "avg_logprob": -0.2776863909604257, "compression_ratio": 1.360759493670886, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 1612.93, "end": 1613.27, "word": "اللي", "probability": 0.545166015625}, {"start": 1613.27, "end": 1613.49, "word": " هو", "probability": 0.9306640625}, {"start": 1613.49, "end": 1614.57, "word": " converges", "probability": 0.53582763671875}, {"start": 1614.57, "end": 1615.03, "word": " point", "probability": 0.93212890625}, {"start": 1615.03, "end": 1615.43, "word": "-wise", "probability": 0.6260986328125}, {"start": 1615.43, "end": 1615.59, "word": " to", "probability": 0.92041015625}, {"start": 1615.59, "end": 1615.83, "word": " some", "probability": 0.890625}, {"start": 1615.83, "end": 1616.25, "word": " function", "probability": 0.96875}, {"start": 1616.25, "end": 1616.53, "word": " عند", "probability": 0.95361328125}, {"start": 1616.53, "end": 1617.25, "word": " مين؟", "probability": 0.5918375651041666}, {"start": 1617.25, "end": 1617.61, "word": " عند", "probability": 0.9453125}, {"start": 1617.61, "end": 1617.81, "word": " الـ", "probability": 0.914306640625}, {"start": 1617.81, "end": 1618.01, "word": " X", "probability": 0.517578125}, {"start": 1618.01, "end": 1618.25, "word": " اللي", "probability": 0.946044921875}, {"start": 1618.25, "end": 1618.95, "word": " أخدتها", "probability": 0.94384765625}, {"start": 1618.95, "end": 1619.53, "word": " هانا", "probability": 0.5980631510416666}, {"start": 1619.53, "end": 1619.89, "word": " هذه", "probability": 0.71728515625}, {"start": 1619.89, "end": 1620.57, "word": " إذا", "probability": 0.703857421875}, {"start": 1620.57, "end": 1621.09, "word": " الأن", "probability": 0.7061767578125}, {"start": 1621.09, "end": 1621.43, "word": " for", "probability": 0.92041015625}, {"start": 1621.43, "end": 1621.83, "word": " any", "probability": 0.9150390625}, {"start": 1621.83, "end": 1622.29, "word": " X", "probability": 0.83642578125}, {"start": 1622.29, "end": 1622.83, "word": " element", "probability": 0.9296875}, {"start": 1622.83, "end": 1623.21, "word": " in", "probability": 0.9638671875}, {"start": 1623.21, "end": 1623.67, "word": " R", "probability": 0.99560546875}, {"start": 1623.67, "end": 1624.61, "word": " for", "probability": 0.475830078125}, {"start": 1624.61, "end": 1624.91, "word": " any", "probability": 0.904296875}, {"start": 1624.91, "end": 1625.43, "word": " X", "probability": 0.94384765625}, {"start": 1625.43, "end": 1625.77, "word": " element", "probability": 0.96484375}, {"start": 1625.77, "end": 1626.05, "word": " in", "probability": 0.9150390625}, {"start": 1626.05, "end": 1626.37, "word": " R", "probability": 0.98388671875}, {"start": 1626.37, "end": 1627.43, "word": " هنلاقي", "probability": 0.885009765625}, {"start": 1627.43, "end": 1627.89, "word": " E", "probability": 0.381591796875}, {"start": 1627.89, "end": 1628.43, "word": " N", "probability": 0.51220703125}, {"start": 1628.43, "end": 1628.79, "word": " of", "probability": 0.951171875}, {"start": 1628.79, "end": 1629.27, "word": " X", "probability": 0.99560546875}, {"start": 1629.27, "end": 1630.69, "word": " converges", "probability": 0.74658203125}], "temperature": 1.0}, {"id": 74, "seek": 165917, "start": 1631.25, "end": 1659.17, "text": "ما دام ال E N of X is convergent for every X element in R إذا صارت عندي limit ال E N of X as N goes to infinity exists for every X element in R ما دام exist حسب اللي قلناها إذا الآن شرعت لتعريف الدالة التالية الآن أنا بقول إنه احنا صار عندنا", "tokens": [15042, 11778, 10943, 2423, 462, 426, 295, 1783, 307, 9652, 6930, 337, 633, 1783, 4478, 294, 497, 11933, 15730, 20328, 9640, 2655, 18871, 16254, 4948, 2423, 462, 426, 295, 1783, 382, 426, 1709, 281, 13202, 8198, 337, 633, 1783, 4478, 294, 497, 19446, 11778, 10943, 2514, 11331, 35457, 13672, 1829, 12174, 1211, 8315, 11296, 11933, 15730, 6024, 48506, 13412, 2288, 34268, 5296, 2655, 3615, 16572, 5172, 32748, 6027, 3660, 16712, 6027, 10632, 6024, 48506, 41850, 4724, 39648, 36145, 3224, 1975, 5016, 8315, 20328, 9640, 43242, 8315], "avg_logprob": -0.18767960249692545, "compression_ratio": 1.6028708133971292, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1631.25, "end": 1631.45, "word": "ما", "probability": 0.2344970703125}, {"start": 1631.45, "end": 1631.67, "word": " دام", "probability": 0.8564453125}, {"start": 1631.67, "end": 1631.83, "word": " ال", "probability": 0.908203125}, {"start": 1631.83, "end": 1632.01, "word": " E", "probability": 0.200927734375}, {"start": 1632.01, "end": 1632.21, "word": " N", "probability": 0.364501953125}, {"start": 1632.21, "end": 1632.43, "word": " of", "probability": 0.71923828125}, {"start": 1632.43, "end": 1632.73, "word": " X", "probability": 0.978515625}, {"start": 1632.73, "end": 1633.11, "word": " is", "probability": 0.86962890625}, {"start": 1633.11, "end": 1634.11, "word": " convergent", "probability": 0.91015625}, {"start": 1634.11, "end": 1634.43, "word": " for", "probability": 0.92529296875}, {"start": 1634.43, "end": 1634.75, "word": " every", "probability": 0.79150390625}, {"start": 1634.75, "end": 1634.97, "word": " X", "probability": 0.89501953125}, {"start": 1634.97, "end": 1635.25, "word": " element", "probability": 0.92431640625}, {"start": 1635.25, "end": 1635.63, "word": " in", "probability": 0.94580078125}, {"start": 1635.63, "end": 1635.91, "word": " R", "probability": 0.99755859375}, {"start": 1635.91, "end": 1636.51, "word": " إذا", "probability": 0.6641845703125}, {"start": 1636.51, "end": 1637.05, "word": " صارت", "probability": 0.8863932291666666}, {"start": 1637.05, "end": 1637.51, "word": " عندي", "probability": 0.7178955078125}, {"start": 1637.51, "end": 1638.57, "word": " limit", "probability": 0.8154296875}, {"start": 1638.57, "end": 1638.95, "word": " ال", "probability": 0.6318359375}, {"start": 1638.95, "end": 1639.59, "word": " E", "probability": 0.9697265625}, {"start": 1639.59, "end": 1640.21, "word": " N", "probability": 0.9375}, {"start": 1640.21, "end": 1640.69, "word": " of", "probability": 0.974609375}, {"start": 1640.69, "end": 1641.13, "word": " X", "probability": 0.998046875}, {"start": 1641.13, "end": 1641.49, "word": " as", "probability": 0.81494140625}, {"start": 1641.49, "end": 1641.75, "word": " N", "probability": 0.94921875}, {"start": 1641.75, "end": 1642.03, "word": " goes", "probability": 0.75927734375}, {"start": 1642.03, "end": 1642.23, "word": " to", "probability": 0.94580078125}, {"start": 1642.23, "end": 1642.75, "word": " infinity", "probability": 0.7861328125}, {"start": 1642.75, "end": 1643.93, "word": " exists", "probability": 0.4677734375}, {"start": 1643.93, "end": 1645.05, "word": " for", "probability": 0.974609375}, {"start": 1645.05, "end": 1645.63, "word": " every", "probability": 0.826171875}, {"start": 1645.63, "end": 1646.03, "word": " X", "probability": 0.99462890625}, {"start": 1646.03, "end": 1646.39, "word": " element", "probability": 0.9609375}, {"start": 1646.39, "end": 1646.77, "word": " in", "probability": 0.96240234375}, {"start": 1646.77, "end": 1647.07, "word": " R", "probability": 0.9990234375}, {"start": 1647.07, "end": 1647.57, "word": " ما", "probability": 0.5302734375}, {"start": 1647.57, "end": 1647.83, "word": " دام", "probability": 0.9931640625}, {"start": 1647.83, "end": 1648.43, "word": " exist", "probability": 0.65966796875}, {"start": 1648.43, "end": 1648.89, "word": " حسب", "probability": 0.95556640625}, {"start": 1648.89, "end": 1649.05, "word": " اللي", "probability": 0.9541015625}, {"start": 1649.05, "end": 1649.81, "word": " قلناها", "probability": 0.9091796875}, {"start": 1649.81, "end": 1650.27, "word": " إذا", "probability": 0.874755859375}, {"start": 1650.27, "end": 1650.73, "word": " الآن", "probability": 0.615234375}, {"start": 1650.73, "end": 1651.67, "word": " شرعت", "probability": 0.9763997395833334}, {"start": 1651.67, "end": 1653.41, "word": " لتعريف", "probability": 0.97060546875}, {"start": 1653.41, "end": 1654.21, "word": " الدالة", "probability": 0.9830729166666666}, {"start": 1654.21, "end": 1655.19, "word": " التالية", "probability": 0.9947916666666666}, {"start": 1655.19, "end": 1656.39, "word": " الآن", "probability": 0.740234375}, {"start": 1656.39, "end": 1656.79, "word": " أنا", "probability": 0.8955078125}, {"start": 1656.79, "end": 1657.55, "word": " بقول", "probability": 0.986328125}, {"start": 1657.55, "end": 1657.99, "word": " إنه", "probability": 0.650146484375}, {"start": 1657.99, "end": 1658.27, "word": " احنا", "probability": 0.810546875}, {"start": 1658.27, "end": 1658.59, "word": " صار", "probability": 0.98681640625}, {"start": 1658.59, "end": 1659.17, "word": " عندنا", "probability": 0.891845703125}], "temperature": 1.0}, {"id": 75, "seek": 167448, "start": 1659.74, "end": 1674.48, "text": "اللي هو مشروع ان نقول we define E من R لR by limit E N of X اللي هي موجودة سميتها إيش اسمها E of X for X element of R", "tokens": [6027, 20292, 31439, 37893, 32887, 3615, 16472, 8717, 39648, 321, 6964, 462, 9154, 497, 5296, 49, 538, 4948, 462, 426, 295, 1783, 13672, 1829, 39896, 3714, 29245, 23328, 3660, 8608, 2304, 36081, 11296, 11933, 1829, 8592, 24525, 2304, 11296, 462, 295, 1783, 337, 1783, 4478, 295, 497], "avg_logprob": -0.32031250558793545, "compression_ratio": 1.2074074074074075, "no_speech_prob": 1.9073486328125e-06, "words": [{"start": 1659.74, "end": 1660.16, "word": "اللي", "probability": 0.4346923828125}, {"start": 1660.16, "end": 1660.6, "word": " هو", "probability": 0.87353515625}, {"start": 1660.6, "end": 1661.98, "word": " مشروع", "probability": 0.9847005208333334}, {"start": 1661.98, "end": 1662.22, "word": " ان", "probability": 0.50390625}, {"start": 1662.22, "end": 1662.92, "word": " نقول", "probability": 0.81689453125}, {"start": 1662.92, "end": 1663.56, "word": " we", "probability": 0.08642578125}, {"start": 1663.56, "end": 1664.18, "word": " define", "probability": 0.97265625}, {"start": 1664.18, "end": 1664.44, "word": " E", "probability": 0.78466796875}, {"start": 1664.44, "end": 1664.6, "word": " من", "probability": 0.943359375}, {"start": 1664.6, "end": 1664.9, "word": " R", "probability": 0.9375}, {"start": 1664.9, "end": 1665.4, "word": " لR", "probability": 0.6776123046875}, {"start": 1665.4, "end": 1665.92, "word": " by", "probability": 0.7880859375}, {"start": 1665.92, "end": 1667.0, "word": " limit", "probability": 0.724609375}, {"start": 1667.0, "end": 1667.34, "word": " E", "probability": 0.4599609375}, {"start": 1667.34, "end": 1667.56, "word": " N", "probability": 0.296875}, {"start": 1667.56, "end": 1667.76, "word": " of", "probability": 0.9111328125}, {"start": 1667.76, "end": 1668.16, "word": " X", "probability": 0.9814453125}, {"start": 1668.16, "end": 1668.88, "word": " اللي", "probability": 0.73779296875}, {"start": 1668.88, "end": 1669.24, "word": " هي", "probability": 0.5927734375}, {"start": 1669.24, "end": 1670.36, "word": " موجودة", "probability": 0.9769287109375}, {"start": 1670.36, "end": 1671.38, "word": " سميتها", "probability": 0.916748046875}, {"start": 1671.38, "end": 1671.7, "word": " إيش", "probability": 0.7862141927083334}, {"start": 1671.7, "end": 1672.28, "word": " اسمها", "probability": 0.94189453125}, {"start": 1672.28, "end": 1672.92, "word": " E", "probability": 0.85986328125}, {"start": 1672.92, "end": 1673.14, "word": " of", "probability": 0.8544921875}, {"start": 1673.14, "end": 1673.42, "word": " X", "probability": 0.994140625}, {"start": 1673.42, "end": 1673.68, "word": " for", "probability": 0.9130859375}, {"start": 1673.68, "end": 1673.94, "word": " X", "probability": 0.9482421875}, {"start": 1673.94, "end": 1674.18, "word": " element", "probability": 0.294921875}, {"start": 1674.18, "end": 1674.36, "word": " of", "probability": 0.50634765625}, {"start": 1674.36, "end": 1674.48, "word": " R", "probability": 0.994140625}], "temperature": 1.0}, {"id": 76, "seek": 170216, "start": 1676.92, "end": 1702.16, "text": "وجود اللي هو دالة اسمها E أنا سميتها E من R لعند R بحيث ان E of X هي limit ال E أنه VIX اللي أثبتت وجوده بدي أثبتلك الأن أن E of X هذه هي الدالة المبتغة اللي بتحقق الشروط اللي طلبها في النظرية نشوف كيف طيب صلوا على النبي عليه الصلاة والسلام", "tokens": [29245, 23328, 13672, 1829, 31439, 11778, 6027, 3660, 24525, 2304, 11296, 462, 41850, 8608, 2304, 36081, 11296, 462, 9154, 497, 5296, 3615, 41260, 497, 4724, 5016, 1829, 12984, 16472, 462, 295, 1783, 39896, 4948, 2423, 462, 14739, 3224, 691, 21124, 13672, 1829, 5551, 12984, 3555, 2655, 2655, 49610, 23328, 3224, 4724, 16254, 5551, 12984, 3555, 2655, 23275, 16247, 1863, 14739, 462, 295, 1783, 29538, 39896, 32748, 6027, 3660, 9673, 3555, 2655, 17082, 3660, 13672, 1829, 39894, 5016, 4587, 4587, 25124, 32887, 9566, 13672, 1829, 23032, 46152, 11296, 8978, 28239, 19913, 2288, 10632, 8717, 8592, 38688, 9122, 33911, 23032, 1829, 3555, 20328, 1211, 14407, 15844, 28239, 21292, 47356, 31767, 15040, 3660, 16070, 3794, 37440], "avg_logprob": -0.1547423309662886, "compression_ratio": 1.7885462555066078, "no_speech_prob": 1.7285346984863281e-06, "words": [{"start": 1676.92, "end": 1677.64, "word": "وجود", "probability": 0.85693359375}, {"start": 1677.64, "end": 1677.96, "word": " اللي", "probability": 0.657958984375}, {"start": 1677.96, "end": 1678.3, "word": " هو", "probability": 0.9697265625}, {"start": 1678.3, "end": 1678.82, "word": " دالة", "probability": 0.9749348958333334}, {"start": 1678.82, "end": 1679.48, "word": " اسمها", "probability": 0.970703125}, {"start": 1679.48, "end": 1679.74, "word": " E", "probability": 0.85986328125}, {"start": 1679.74, "end": 1680.02, "word": " أنا", "probability": 0.5751953125}, {"start": 1680.02, "end": 1680.52, "word": " سميتها", "probability": 0.977783203125}, {"start": 1680.52, "end": 1680.76, "word": " E", "probability": 0.92724609375}, {"start": 1680.76, "end": 1681.54, "word": " من", "probability": 0.93701171875}, {"start": 1681.54, "end": 1681.82, "word": " R", "probability": 0.93603515625}, {"start": 1681.82, "end": 1682.12, "word": " لعند", "probability": 0.845703125}, {"start": 1682.12, "end": 1682.6, "word": " R", "probability": 0.712890625}, {"start": 1682.6, "end": 1683.3, "word": " بحيث", "probability": 0.9510498046875}, {"start": 1683.3, "end": 1683.44, "word": " ان", "probability": 0.50341796875}, {"start": 1683.44, "end": 1683.8, "word": " E", "probability": 0.8564453125}, {"start": 1683.8, "end": 1683.98, "word": " of", "probability": 0.51171875}, {"start": 1683.98, "end": 1684.22, "word": " X", "probability": 0.990234375}, {"start": 1684.22, "end": 1684.52, "word": " هي", "probability": 0.96875}, {"start": 1684.52, "end": 1685.28, "word": " limit", "probability": 0.875}, {"start": 1685.28, "end": 1685.56, "word": " ال", "probability": 0.301025390625}, {"start": 1685.56, "end": 1685.76, "word": " E", "probability": 0.736328125}, {"start": 1685.76, "end": 1686.12, "word": " أنه", "probability": 0.614990234375}, {"start": 1686.12, "end": 1686.4, "word": " VIX", "probability": 0.553466796875}, {"start": 1686.4, "end": 1686.64, "word": " اللي", "probability": 0.9287109375}, {"start": 1686.64, "end": 1687.42, "word": " أثبتت", "probability": 0.970703125}, {"start": 1687.42, "end": 1688.08, "word": " وجوده", "probability": 0.9930013020833334}, {"start": 1688.08, "end": 1688.72, "word": " بدي", "probability": 0.3646240234375}, {"start": 1688.72, "end": 1689.22, "word": " أثبتلك", "probability": 0.95908203125}, {"start": 1689.22, "end": 1689.58, "word": " الأن", "probability": 0.7100830078125}, {"start": 1689.58, "end": 1689.74, "word": " أن", "probability": 0.55810546875}, {"start": 1689.74, "end": 1690.0, "word": " E", "probability": 0.97265625}, {"start": 1690.0, "end": 1690.18, "word": " of", "probability": 0.9609375}, {"start": 1690.18, "end": 1690.46, "word": " X", "probability": 0.9921875}, {"start": 1690.46, "end": 1690.8, "word": " هذه", "probability": 0.47900390625}, {"start": 1690.8, "end": 1691.48, "word": " هي", "probability": 0.9580078125}, {"start": 1691.48, "end": 1692.26, "word": " الدالة", "probability": 0.986328125}, {"start": 1692.26, "end": 1693.22, "word": " المبتغة", "probability": 0.869287109375}, {"start": 1693.22, "end": 1694.0, "word": " اللي", "probability": 0.9697265625}, {"start": 1694.0, "end": 1694.7, "word": " بتحقق", "probability": 0.9503173828125}, {"start": 1694.7, "end": 1695.28, "word": " الشروط", "probability": 0.9285481770833334}, {"start": 1695.28, "end": 1695.48, "word": " اللي", "probability": 0.991943359375}, {"start": 1695.48, "end": 1695.96, "word": " طلبها", "probability": 0.98876953125}, {"start": 1695.96, "end": 1696.12, "word": " في", "probability": 0.955078125}, {"start": 1696.12, "end": 1697.0, "word": " النظرية", "probability": 0.9730224609375}, {"start": 1697.0, "end": 1697.8, "word": " نشوف", "probability": 0.7892252604166666}, {"start": 1697.8, "end": 1698.12, "word": " كيف", "probability": 0.982666015625}, {"start": 1698.12, "end": 1699.78, "word": " طيب", "probability": 0.9109700520833334}, {"start": 1699.78, "end": 1700.78, "word": " صلوا", "probability": 0.8361002604166666}, {"start": 1700.78, "end": 1700.92, "word": " على", "probability": 0.8837890625}, {"start": 1700.92, "end": 1701.18, "word": " النبي", "probability": 0.951904296875}, {"start": 1701.18, "end": 1701.36, "word": " عليه", "probability": 0.83935546875}, {"start": 1701.36, "end": 1701.74, "word": " الصلاة", "probability": 0.97607421875}, {"start": 1701.74, "end": 1702.16, "word": " والسلام", "probability": 0.958984375}], "temperature": 1.0}, {"id": 77, "seek": 173571, "start": 1715.97, "end": 1735.71, "text": "الان عندى ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ا�� .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..", "tokens": [6027, 7649, 43242, 7578, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 4386], "avg_logprob": -0.09236111111111112, "compression_ratio": 22.425, "no_speech_prob": 0.0, "words": [{"start": 1715.9699999999998, "end": 1716.37, "word": "الان", "probability": 0.695556640625}, {"start": 1716.37, "end": 1716.77, "word": " عندى", "probability": 0.687255859375}, {"start": 1716.77, "end": 1717.15, "word": " ال", "probability": 0.79541015625}, {"start": 1717.15, "end": 1717.27, "word": " ..", "probability": 0.59765625}, {"start": 1717.27, "end": 1717.55, "word": " ال", "probability": 0.93701171875}, {"start": 1717.55, "end": 1717.85, "word": " ..", "probability": 0.97412109375}, {"start": 1717.85, "end": 1719.29, "word": " ال", "probability": 0.98046875}, {"start": 1719.29, "end": 1719.29, "word": " ..", "probability": 0.958984375}, {"start": 1719.29, "end": 1719.47, "word": " ال", "probability": 0.95947265625}, {"start": 1719.47, "end": 1719.47, "word": " ..", "probability": 0.82177734375}, {"start": 1719.47, "end": 1719.71, "word": " ال", "probability": 0.76416015625}, {"start": 1719.71, "end": 1719.71, "word": " ..", "probability": 0.66162109375}, {"start": 1719.71, "end": 1719.83, "word": " ال", "probability": 0.44970703125}, {"start": 1719.83, "end": 1719.83, "word": " ..", "probability": 0.6279296875}, {"start": 1719.83, "end": 1719.83, "word": " ال", "probability": 0.435546875}, {"start": 1719.83, "end": 1719.83, "word": " ..", "probability": 0.671875}, {"start": 1719.83, "end": 1719.83, "word": " ال", "probability": 0.5546875}, {"start": 1719.83, "end": 1719.83, "word": " ..", "probability": 0.7314453125}, {"start": 1719.83, "end": 1719.83, "word": " ال", "probability": 0.6875}, {"start": 1719.83, "end": 1719.89, "word": " ..", "probability": 0.79541015625}, {"start": 1719.89, "end": 1719.89, "word": " ال", "probability": 0.77978515625}, {"start": 1719.89, "end": 1719.89, "word": " ..", "probability": 0.84326171875}, {"start": 1719.89, "end": 1719.89, "word": " ال", "probability": 0.83642578125}, {"start": 1719.89, "end": 1719.91, "word": " ..", "probability": 0.8828125}, {"start": 1719.91, "end": 1719.91, "word": " ال", "probability": 0.87109375}, {"start": 1719.91, "end": 1719.91, "word": " ..", "probability": 0.91064453125}, {"start": 1719.91, "end": 1719.91, "word": " ال", "probability": 0.888671875}, {"start": 1719.91, "end": 1719.91, "word": " ..", "probability": 0.92919921875}, {"start": 1719.91, "end": 1719.91, "word": " ال", "probability": 0.90087890625}, {"start": 1719.91, "end": 1719.91, "word": " ..", "probability": 0.943359375}, {"start": 1719.91, "end": 1719.91, "word": " ال", "probability": 0.90966796875}, {"start": 1719.91, "end": 1719.91, "word": " ..", "probability": 0.953125}, {"start": 1719.91, "end": 1719.91, "word": " ال", "probability": 0.9150390625}, {"start": 1719.91, "end": 1719.91, "word": " ..", "probability": 0.96044921875}, {"start": 1719.91, "end": 1719.91, "word": " ال", "probability": 0.919921875}, {"start": 1719.91, "end": 1719.91, "word": " ..", "probability": 0.96484375}, {"start": 1719.91, "end": 1719.91, "word": " ال", "probability": 0.92431640625}, {"start": 1719.91, "end": 1719.91, "word": " ..", "probability": 0.96826171875}, {"start": 1719.91, "end": 1719.91, "word": " ال", "probability": 0.927734375}, {"start": 1719.91, "end": 1719.91, "word": " ..", "probability": 0.970703125}, {"start": 1719.91, "end": 1719.91, "word": " ال", "probability": 0.931640625}, {"start": 1719.91, "end": 1719.91, "word": " ..", "probability": 0.97216796875}, {"start": 1719.91, "end": 1719.91, "word": " ال", "probability": 0.9345703125}, {"start": 1719.91, "end": 1719.93, "word": " ..", "probability": 0.97412109375}, {"start": 1719.93, "end": 1719.93, "word": " ال", "probability": 0.93701171875}, {"start": 1719.93, "end": 1719.97, "word": " ..", "probability": 0.97509765625}, {"start": 1719.97, "end": 1719.97, "word": " ال", "probability": 0.939453125}, {"start": 1719.97, "end": 1719.97, "word": " ..", "probability": 0.97607421875}, {"start": 1719.97, "end": 1719.97, "word": " ال", "probability": 0.94189453125}, {"start": 1719.97, "end": 1720.01, "word": " ..", "probability": 0.97705078125}, {"start": 1720.01, "end": 1720.01, "word": " ال", "probability": 0.94384765625}, {"start": 1720.01, "end": 1720.01, "word": " ..", "probability": 0.97802734375}, {"start": 1720.01, "end": 1720.01, "word": " ال", "probability": 0.9453125}, {"start": 1720.01, "end": 1720.01, "word": " ..", "probability": 0.97802734375}, {"start": 1720.01, "end": 1720.01, "word": " ال", "probability": 0.9462890625}, {"start": 1720.01, "end": 1720.03, "word": " ..", "probability": 0.97900390625}, {"start": 1720.03, "end": 1720.03, "word": " ال", "probability": 0.9482421875}, {"start": 1720.03, "end": 1720.03, "word": " ..", "probability": 0.9794921875}, {"start": 1720.03, "end": 1720.03, "word": " ال", "probability": 0.94873046875}, {"start": 1720.03, "end": 1720.29, "word": " ..", "probability": 0.97998046875}, {"start": 1720.29, "end": 1720.29, "word": " ال", "probability": 0.95068359375}, {"start": 1720.29, "end": 1720.29, "word": " ..", "probability": 0.98095703125}, {"start": 1720.29, "end": 1720.29, "word": " ال", "probability": 0.95166015625}, {"start": 1720.29, "end": 1720.29, "word": " ..", "probability": 0.9814453125}, {"start": 1720.29, "end": 1720.29, "word": " ال", "probability": 0.95263671875}, {"start": 1720.29, "end": 1720.29, "word": " ..", "probability": 0.98193359375}, {"start": 1720.29, "end": 1720.29, "word": " ال", "probability": 0.953125}, {"start": 1720.29, "end": 1720.31, "word": " ..", "probability": 0.982421875}, {"start": 1720.31, "end": 1720.31, "word": " ال", "probability": 0.955078125}, {"start": 1720.31, "end": 1720.31, "word": " ..", "probability": 0.98291015625}, {"start": 1720.31, "end": 1720.31, "word": " ال", "probability": 0.95556640625}, {"start": 1720.31, "end": 1720.49, "word": " ..", "probability": 0.98388671875}, {"start": 1720.49, "end": 1720.49, "word": " ال", "probability": 0.95703125}, {"start": 1720.49, "end": 1720.49, "word": " ..", "probability": 0.984375}, {"start": 1720.49, "end": 1720.49, "word": " ال", "probability": 0.95751953125}, {"start": 1720.49, "end": 1720.49, "word": " ..", "probability": 0.98486328125}, {"start": 1720.49, "end": 1720.49, "word": " ال", "probability": 0.95849609375}, {"start": 1720.49, "end": 1721.45, "word": " ..", "probability": 0.9853515625}, {"start": 1721.45, "end": 1721.69, "word": " ال", "probability": 0.95947265625}, {"start": 1721.69, "end": 1721.89, "word": " ..", "probability": 0.9853515625}, {"start": 1721.89, "end": 1722.09, "word": " ال", "probability": 0.96044921875}, {"start": 1722.09, "end": 1722.25, "word": " ..", "probability": 0.986328125}, {"start": 1722.25, "end": 1722.41, "word": " ال", "probability": 0.9609375}, {"start": 1722.41, "end": 1722.41, "word": " ..", "probability": 0.986328125}, {"start": 1722.41, "end": 1722.41, "word": " ال", "probability": 0.96240234375}, {"start": 1722.41, "end": 1722.41, "word": " ..", "probability": 0.98681640625}, {"start": 1722.41, "end": 1722.41, "word": " ال", "probability": 0.96240234375}, {"start": 1722.41, "end": 1722.41, "word": " ..", "probability": 0.98681640625}, {"start": 1722.41, "end": 1722.41, "word": " ال", "probability": 0.962890625}, {"start": 1722.41, "end": 1722.41, "word": " ..", "probability": 0.9873046875}, {"start": 1722.41, "end": 1722.43, "word": " ال", "probability": 0.9638671875}, {"start": 1722.43, "end": 1722.81, "word": " ..", "probability": 0.98779296875}, {"start": 1722.81, "end": 1722.81, "word": " ال", "probability": 0.96435546875}, {"start": 1722.81, "end": 1722.81, "word": " ..", "probability": 0.98828125}, {"start": 1722.81, "end": 1722.81, "word": " ال", "probability": 0.96435546875}, {"start": 1722.81, "end": 1722.81, "word": " ..", "probability": 0.98828125}, {"start": 1722.81, "end": 1722.81, "word": " ال", "probability": 0.96533203125}, {"start": 1722.81, "end": 1722.81, "word": " ..", "probability": 0.98828125}, {"start": 1722.81, "end": 1722.81, "word": " ال", "probability": 0.96533203125}, {"start": 1722.81, "end": 1722.81, "word": " ..", "probability": 0.98828125}, {"start": 1722.81, "end": 1722.81, "word": " ال", "probability": 0.9658203125}, {"start": 1722.81, "end": 1722.81, "word": " ..", "probability": 0.98876953125}, {"start": 1722.81, "end": 1723.17, "word": " ال", "probability": 0.9658203125}, {"start": 1723.17, "end": 1723.17, "word": " ..", "probability": 0.98876953125}, {"start": 1723.17, "end": 1723.17, "word": " ال", "probability": 0.9658203125}, {"start": 1723.17, "end": 1723.17, "word": " ..", "probability": 0.9892578125}, {"start": 1723.17, "end": 1723.17, "word": " ال", "probability": 0.96630859375}, {"start": 1723.17, "end": 1723.17, "word": " ..", "probability": 0.9892578125}, {"start": 1723.17, "end": 1723.17, "word": " ال", "probability": 0.9658203125}, {"start": 1723.17, "end": 1723.17, "word": " ..", "probability": 0.9892578125}, {"start": 1723.17, "end": 1723.23, "word": " ال", "probability": 0.9658203125}, {"start": 1723.23, "end": 1723.71, "word": " ..", "probability": 0.9892578125}, {"start": 1723.71, "end": 1724.55, "word": " ال", "probability": 0.9658203125}, {"start": 1724.55, "end": 1724.79, "word": " ..", "probability": 0.9892578125}, {"start": 1724.79, "end": 1724.81, "word": " ال", "probability": 0.96484375}, {"start": 1724.81, "end": 1724.81, "word": " ..", "probability": 0.98974609375}, {"start": 1724.81, "end": 1724.81, "word": " ال", "probability": 0.96533203125}, {"start": 1724.81, "end": 1724.81, "word": " ..", "probability": 0.98974609375}, {"start": 1724.81, "end": 1724.81, "word": " ال", "probability": 0.96435546875}, {"start": 1724.81, "end": 1724.81, "word": " ..", "probability": 0.98974609375}, {"start": 1724.81, "end": 1724.81, "word": " ال", "probability": 0.96484375}, {"start": 1724.81, "end": 1724.81, "word": " ..", "probability": 0.990234375}, {"start": 1724.81, "end": 1724.81, "word": " ال", "probability": 0.96337890625}, {"start": 1724.81, "end": 1724.81, "word": " ..", "probability": 0.99072265625}, {"start": 1724.81, "end": 1724.81, "word": " ال", "probability": 0.962890625}, {"start": 1724.81, "end": 1724.81, "word": " ..", "probability": 0.990234375}, {"start": 1724.81, "end": 1724.81, "word": " ال", "probability": 0.962890625}, {"start": 1724.81, "end": 1724.81, "word": " ..", "probability": 0.990234375}, {"start": 1724.81, "end": 1724.81, "word": " ال", "probability": 0.9609375}, {"start": 1724.81, "end": 1724.81, "word": " ..", "probability": 0.99072265625}, {"start": 1724.81, "end": 1724.81, "word": " ال", "probability": 0.9609375}, {"start": 1724.81, "end": 1724.81, "word": " ..", "probability": 0.99072265625}, {"start": 1724.81, "end": 1724.81, "word": " ال", "probability": 0.95947265625}, {"start": 1724.81, "end": 1724.81, "word": " ..", "probability": 0.99072265625}, {"start": 1724.81, "end": 1724.81, "word": " ال", "probability": 0.958984375}, {"start": 1724.81, "end": 1725.39, "word": " ..", "probability": 0.9912109375}, {"start": 1725.39, "end": 1725.59, "word": " ال", "probability": 0.95751953125}, {"start": 1725.59, "end": 1725.67, "word": " ..", "probability": 0.99072265625}, {"start": 1725.67, "end": 1725.67, "word": " ال", "probability": 0.9560546875}, {"start": 1725.67, "end": 1725.67, "word": " ..", "probability": 0.9912109375}, {"start": 1725.67, "end": 1725.67, "word": " ال", "probability": 0.95361328125}, {"start": 1725.67, "end": 1725.67, "word": " ..", "probability": 0.9912109375}, {"start": 1725.67, "end": 1725.67, "word": " ال", "probability": 0.9541015625}, {"start": 1725.67, "end": 1726.87, "word": " ..", "probability": 0.9912109375}, {"start": 1726.87, "end": 1726.87, "word": " ال", "probability": 0.951171875}, {"start": 1726.87, "end": 1729.77, "word": " ..", "probability": 0.9912109375}, {"start": 1729.77, "end": 1729.77, "word": " ال", "probability": 0.94873046875}, {"start": 1729.77, "end": 1729.77, "word": " ..", "probability": 0.9912109375}, {"start": 1729.77, "end": 1729.77, "word": " ال", "probability": 0.94580078125}, {"start": 1729.77, "end": 1729.77, "word": " ..", "probability": 0.9912109375}, {"start": 1729.77, "end": 1729.77, "word": " ال", "probability": 0.94384765625}, {"start": 1729.77, "end": 1729.87, "word": " ..", "probability": 0.99169921875}, {"start": 1729.87, "end": 1729.87, "word": " ال", "probability": 0.9443359375}, {"start": 1729.87, "end": 1730.69, "word": " ..", "probability": 0.99169921875}, {"start": 1730.69, "end": 1730.69, "word": " ال", "probability": 0.93994140625}, {"start": 1730.69, "end": 1730.69, "word": " ..", "probability": 0.99169921875}, {"start": 1730.69, "end": 1730.69, "word": " ال", "probability": 0.93603515625}, {"start": 1730.69, "end": 1730.69, "word": " ..", "probability": 0.99169921875}, {"start": 1730.69, "end": 1730.69, "word": " ال", "probability": 0.9345703125}, {"start": 1730.69, "end": 1730.69, "word": " ..", "probability": 0.9921875}, {"start": 1730.69, "end": 1730.69, "word": " ال", "probability": 0.93310546875}, {"start": 1730.69, "end": 1730.71, "word": " ..", "probability": 0.9921875}, {"start": 1730.71, "end": 1730.71, "word": " ال", "probability": 0.927734375}, {"start": 1730.71, "end": 1730.71, "word": " ..", "probability": 0.9921875}, {"start": 1730.71, "end": 1730.71, "word": " ال", "probability": 0.92724609375}, {"start": 1730.71, "end": 1730.71, "word": " ..", "probability": 0.9921875}, {"start": 1730.71, "end": 1730.71, "word": " ال", "probability": 0.91943359375}, {"start": 1730.71, "end": 1731.45, "word": " ..", "probability": 0.99267578125}, {"start": 1731.45, "end": 1731.45, "word": " ال", "probability": 0.91455078125}, {"start": 1731.45, "end": 1731.45, "word": " ..", "probability": 0.99267578125}, {"start": 1731.45, "end": 1731.45, "word": " ال", "probability": 0.91162109375}, {"start": 1731.45, "end": 1731.45, "word": " ..", "probability": 0.99267578125}, {"start": 1731.45, "end": 1731.45, "word": " ال", "probability": 0.908203125}, {"start": 1731.45, "end": 1731.45, "word": " ..", "probability": 0.99267578125}, {"start": 1731.45, "end": 1731.45, "word": " ال", "probability": 0.90478515625}, {"start": 1731.45, "end": 1731.45, "word": " ..", "probability": 0.99267578125}, {"start": 1731.45, "end": 1731.45, "word": " ال", "probability": 0.89208984375}, {"start": 1731.45, "end": 1731.55, "word": " ..", "probability": 0.99267578125}, {"start": 1731.55, "end": 1731.55, "word": " ال", "probability": 0.88671875}, {"start": 1731.55, "end": 1731.55, "word": " ..", "probability": 0.9931640625}, {"start": 1731.55, "end": 1731.55, "word": " ال", "probability": 0.8818359375}, {"start": 1731.55, "end": 1731.61, "word": " ..", "probability": 0.9931640625}, {"start": 1731.61, "end": 1731.61, "word": " ال", "probability": 0.880859375}, {"start": 1731.61, "end": 1731.61, "word": " ..", "probability": 0.9931640625}, {"start": 1731.61, "end": 1731.61, "word": " ال", "probability": 0.86376953125}, {"start": 1731.61, "end": 1731.61, "word": " ..", "probability": 0.9931640625}, {"start": 1731.61, "end": 1731.61, "word": " ال", "probability": 0.8583984375}, {"start": 1731.61, "end": 1731.61, "word": " ..", "probability": 0.99365234375}, {"start": 1731.61, "end": 1731.61, "word": " ال", "probability": 0.85400390625}, {"start": 1731.61, "end": 1731.61, "word": " ..", "probability": 0.99365234375}, {"start": 1731.61, "end": 1731.61, "word": " ال", "probability": 0.837890625}, {"start": 1731.61, "end": 1731.61, "word": " ..", "probability": 0.99365234375}, {"start": 1731.61, "end": 1731.61, "word": " ال", "probability": 0.82421875}, {"start": 1731.61, "end": 1731.61, "word": " ..", "probability": 0.99365234375}, {"start": 1731.61, "end": 1731.61, "word": " ال", "probability": 0.82421875}, {"start": 1731.61, "end": 1731.61, "word": " ..", "probability": 0.99365234375}, {"start": 1731.61, "end": 1731.61, "word": " ال", "probability": 0.796875}, {"start": 1731.61, "end": 1731.61, "word": " ..", "probability": 0.99365234375}, {"start": 1731.61, "end": 1731.61, "word": " ال", "probability": 0.79541015625}, {"start": 1731.61, "end": 1731.61, "word": " ..", "probability": 0.99365234375}, {"start": 1731.61, "end": 1731.61, "word": " ال", "probability": 0.7822265625}, {"start": 1731.61, "end": 1731.61, "word": " ..", "probability": 0.994140625}, {"start": 1731.61, "end": 1731.61, "word": " ال", "probability": 0.75}, {"start": 1731.61, "end": 1731.61, "word": " ..", "probability": 0.99365234375}, {"start": 1731.61, "end": 1731.61, "word": " ال", "probability": 0.70751953125}, {"start": 1731.61, "end": 1731.61, "word": " ..", "probability": 0.994140625}, {"start": 1731.61, "end": 1731.61, "word": " ال", "probability": 0.693359375}, {"start": 1731.61, "end": 1731.61, "word": " ..", "probability": 0.994140625}, {"start": 1731.61, "end": 1731.61, "word": " ال", "probability": 0.6572265625}, {"start": 1731.61, "end": 1731.61, "word": " ..", "probability": 0.994140625}, {"start": 1731.61, "end": 1731.61, "word": " ال", "probability": 0.6357421875}, {"start": 1731.61, "end": 1731.61, "word": " ..", "probability": 0.994140625}, {"start": 1731.61, "end": 1731.61, "word": " ال", "probability": 0.61181640625}, {"start": 1731.61, "end": 1731.61, "word": " ..", "probability": 0.994140625}, {"start": 1731.61, "end": 1731.61, "word": " ال", "probability": 0.5810546875}, {"start": 1731.61, "end": 1731.61, "word": " ..", "probability": 0.994140625}, {"start": 1731.61, "end": 1731.61, "word": " ال", "probability": 0.572265625}, {"start": 1731.61, "end": 1732.41, "word": " ..", "probability": 0.99462890625}, {"start": 1732.41, "end": 1732.61, "word": " ال", "probability": 0.53955078125}, {"start": 1732.61, "end": 1733.37, "word": " ..", "probability": 0.994140625}, {"start": 1733.37, "end": 1733.95, "word": " ال", "probability": 0.462890625}, {"start": 1733.95, "end": 1735.71, "word": " ..", "probability": 0.99365234375}], "temperature": 1.0}, {"id": 78, "seek": 176767, "start": 1740.33, "end": 1767.67, "text": "converge such that x element ناقص a أو a كلها هذه الـen converged uniformly الان لمن؟ للـe معايا converged uniformly للـe for every أو on ناقص a أو a لأنه سمناها إيش اللي هي ال limit بتروحلها اسمها إيه الآن en اتفجنا إنه أثبتناها إنها إيش معالها", "tokens": [1671, 331, 432, 1270, 300, 2031, 4478, 8717, 995, 4587, 9381, 257, 34051, 257, 28242, 11296, 29538, 2423, 39184, 268, 9652, 3004, 48806, 2423, 7649, 5296, 27842, 22807, 5296, 1211, 39184, 68, 20449, 995, 25528, 9652, 3004, 48806, 24976, 39184, 68, 337, 633, 34051, 322, 8717, 995, 4587, 9381, 257, 34051, 257, 5296, 33456, 3224, 8608, 2304, 8315, 11296, 11933, 1829, 8592, 13672, 1829, 39896, 2423, 4948, 39894, 32887, 5016, 1211, 11296, 24525, 2304, 11296, 11933, 1829, 3224, 6024, 48506, 465, 1975, 2655, 5172, 7435, 8315, 36145, 3224, 5551, 12984, 3555, 2655, 8315, 11296, 36145, 11296, 11933, 1829, 8592, 20449, 6027, 11296], "avg_logprob": -0.3364684477593135, "compression_ratio": 1.7427184466019416, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 1740.33, "end": 1741.27, "word": "converge", "probability": 0.6355794270833334}, {"start": 1741.27, "end": 1741.99, "word": " such", "probability": 0.8837890625}, {"start": 1741.99, "end": 1742.47, "word": " that", "probability": 0.94384765625}, {"start": 1742.47, "end": 1743.05, "word": " x", "probability": 0.58056640625}, {"start": 1743.05, "end": 1743.91, "word": " element", "probability": 0.615234375}, {"start": 1743.91, "end": 1744.49, "word": " ناقص", "probability": 0.69696044921875}, {"start": 1744.49, "end": 1744.83, "word": " a", "probability": 0.619140625}, {"start": 1744.83, "end": 1745.33, "word": " أو", "probability": 0.822265625}, {"start": 1745.33, "end": 1745.55, "word": " a", "probability": 0.650390625}, {"start": 1745.55, "end": 1746.11, "word": " كلها", "probability": 0.6536865234375}, {"start": 1746.11, "end": 1746.37, "word": " هذه", "probability": 0.55126953125}, {"start": 1746.37, "end": 1747.21, "word": " الـen", "probability": 0.5006510416666666}, {"start": 1747.21, "end": 1747.79, "word": " converged", "probability": 0.4881591796875}, {"start": 1747.79, "end": 1748.31, "word": " uniformly", "probability": 0.97607421875}, {"start": 1748.31, "end": 1749.29, "word": " الان", "probability": 0.65869140625}, {"start": 1749.29, "end": 1750.01, "word": " لمن؟", "probability": 0.5919596354166666}, {"start": 1750.01, "end": 1750.75, "word": " للـe", "probability": 0.36517333984375}, {"start": 1750.75, "end": 1752.33, "word": " معايا", "probability": 0.9384765625}, {"start": 1752.33, "end": 1753.15, "word": " converged", "probability": 0.7998046875}, {"start": 1753.15, "end": 1753.65, "word": " uniformly", "probability": 0.98486328125}, {"start": 1753.65, "end": 1754.25, "word": " للـe", "probability": 0.70556640625}, {"start": 1754.25, "end": 1755.01, "word": " for", "probability": 0.93017578125}, {"start": 1755.01, "end": 1755.59, "word": " every", "probability": 0.83984375}, {"start": 1755.59, "end": 1756.69, "word": " أو", "probability": 0.615234375}, {"start": 1756.69, "end": 1757.07, "word": " on", "probability": 0.8203125}, {"start": 1757.07, "end": 1758.13, "word": " ناقص", "probability": 0.991455078125}, {"start": 1758.13, "end": 1758.55, "word": " a", "probability": 0.947265625}, {"start": 1758.55, "end": 1759.19, "word": " أو", "probability": 0.85302734375}, {"start": 1759.19, "end": 1759.41, "word": " a", "probability": 0.92919921875}, {"start": 1759.41, "end": 1760.15, "word": " لأنه", "probability": 0.7051595052083334}, {"start": 1760.15, "end": 1760.67, "word": " سمناها", "probability": 0.82281494140625}, {"start": 1760.67, "end": 1760.91, "word": " إيش", "probability": 0.585205078125}, {"start": 1760.91, "end": 1761.07, "word": " اللي", "probability": 0.920654296875}, {"start": 1761.07, "end": 1761.33, "word": " هي", "probability": 0.45458984375}, {"start": 1761.33, "end": 1761.59, "word": " ال", "probability": 0.42724609375}, {"start": 1761.59, "end": 1761.85, "word": " limit", "probability": 0.8349609375}, {"start": 1761.85, "end": 1762.51, "word": " بتروحلها", "probability": 0.86884765625}, {"start": 1762.51, "end": 1763.01, "word": " اسمها", "probability": 0.9298502604166666}, {"start": 1763.01, "end": 1763.49, "word": " إيه", "probability": 0.8050944010416666}, {"start": 1763.49, "end": 1764.39, "word": " الآن", "probability": 0.703369140625}, {"start": 1764.39, "end": 1765.01, "word": " en", "probability": 0.45556640625}, {"start": 1765.01, "end": 1766.07, "word": " اتفجنا", "probability": 0.88779296875}, {"start": 1766.07, "end": 1766.31, "word": " إنه", "probability": 0.730224609375}, {"start": 1766.31, "end": 1766.79, "word": " أثبتناها", "probability": 0.936279296875}, {"start": 1766.79, "end": 1766.95, "word": " إنها", "probability": 0.73046875}, {"start": 1766.95, "end": 1767.15, "word": " إيش", "probability": 0.8707682291666666}, {"start": 1767.15, "end": 1767.67, "word": " معالها", "probability": 0.8013509114583334}], "temperature": 1.0}, {"id": 79, "seek": 178997, "start": 1768.81, "end": 1789.97, "text": "continuous مادام continuous و en اللي هو طبعا continuous مش بس على ناقص a و a continuous وين مكان احنا الآن هنحكي عن ناقص a و a continuous صارت ال en continuous sequence converts uniformly to e على ناقص a و a إذا صارت ال e هذه حسب نظريتنا هتك��ن continuous نظرية الأولى", "tokens": [9000, 259, 12549, 3714, 18513, 10943, 10957, 4032, 465, 13672, 1829, 31439, 23032, 3555, 3615, 995, 10957, 37893, 4724, 3794, 15844, 8717, 995, 4587, 9381, 257, 4032, 257, 10957, 4032, 9957, 3714, 41361, 1975, 5016, 8315, 6024, 48506, 8032, 1863, 5016, 4117, 1829, 18871, 8717, 995, 4587, 9381, 257, 4032, 257, 10957, 20328, 9640, 2655, 2423, 465, 10957, 8310, 38874, 48806, 281, 308, 15844, 8717, 995, 4587, 9381, 257, 4032, 257, 11933, 15730, 20328, 9640, 2655, 2423, 308, 29538, 11331, 35457, 8717, 19913, 16572, 2655, 8315, 8032, 2655, 30544, 10957, 8717, 19913, 2288, 10632, 16247, 12610, 7578], "avg_logprob": -0.2691326469791179, "compression_ratio": 1.875, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 1768.81, "end": 1769.53, "word": "continuous", "probability": 0.8224283854166666}, {"start": 1769.53, "end": 1770.25, "word": " مادام", "probability": 0.5049235026041666}, {"start": 1770.25, "end": 1771.09, "word": " continuous", "probability": 0.87548828125}, {"start": 1771.09, "end": 1771.79, "word": " و", "probability": 0.8671875}, {"start": 1771.79, "end": 1772.21, "word": " en", "probability": 0.17578125}, {"start": 1772.21, "end": 1772.95, "word": " اللي", "probability": 0.718994140625}, {"start": 1772.95, "end": 1773.25, "word": " هو", "probability": 0.984375}, {"start": 1773.25, "end": 1774.05, "word": " طبعا", "probability": 0.85064697265625}, {"start": 1774.05, "end": 1774.47, "word": " continuous", "probability": 0.9365234375}, {"start": 1774.47, "end": 1774.71, "word": " مش", "probability": 0.84716796875}, {"start": 1774.71, "end": 1774.93, "word": " بس", "probability": 0.928955078125}, {"start": 1774.93, "end": 1775.11, "word": " على", "probability": 0.81494140625}, {"start": 1775.11, "end": 1775.41, "word": " ناقص", "probability": 0.8990478515625}, {"start": 1775.41, "end": 1775.55, "word": " a", "probability": 0.4384765625}, {"start": 1775.55, "end": 1775.65, "word": " و", "probability": 0.677734375}, {"start": 1775.65, "end": 1775.73, "word": " a", "probability": 0.72412109375}, {"start": 1775.73, "end": 1776.11, "word": " continuous", "probability": 0.6123046875}, {"start": 1776.11, "end": 1776.33, "word": " وين", "probability": 0.582275390625}, {"start": 1776.33, "end": 1776.65, "word": " مكان", "probability": 0.713623046875}, {"start": 1776.65, "end": 1776.89, "word": " احنا", "probability": 0.8800455729166666}, {"start": 1776.89, "end": 1777.13, "word": " الآن", "probability": 0.59979248046875}, {"start": 1777.13, "end": 1777.61, "word": " هنحكي", "probability": 0.9060546875}, {"start": 1777.61, "end": 1777.73, "word": " عن", "probability": 0.71923828125}, {"start": 1777.73, "end": 1778.05, "word": " ناقص", "probability": 0.9796142578125}, {"start": 1778.05, "end": 1778.17, "word": " a", "probability": 0.90576171875}, {"start": 1778.17, "end": 1778.25, "word": " و", "probability": 0.8359375}, {"start": 1778.25, "end": 1778.41, "word": " a", "probability": 0.8466796875}, {"start": 1778.41, "end": 1779.33, "word": " continuous", "probability": 0.356689453125}, {"start": 1779.33, "end": 1779.69, "word": " صارت", "probability": 0.8153483072916666}, {"start": 1779.69, "end": 1779.83, "word": " ال", "probability": 0.97216796875}, {"start": 1779.83, "end": 1780.01, "word": " en", "probability": 0.20703125}, {"start": 1780.01, "end": 1780.61, "word": " continuous", "probability": 0.85205078125}, {"start": 1780.61, "end": 1781.35, "word": " sequence", "probability": 0.9375}, {"start": 1781.35, "end": 1781.79, "word": " converts", "probability": 0.21728515625}, {"start": 1781.79, "end": 1782.17, "word": " uniformly", "probability": 0.951171875}, {"start": 1782.17, "end": 1782.59, "word": " to", "probability": 0.9638671875}, {"start": 1782.59, "end": 1782.91, "word": " e", "probability": 0.708984375}, {"start": 1782.91, "end": 1783.37, "word": " على", "probability": 0.29931640625}, {"start": 1783.37, "end": 1783.75, "word": " ناقص", "probability": 0.9935302734375}, {"start": 1783.75, "end": 1783.91, "word": " a", "probability": 0.9541015625}, {"start": 1783.91, "end": 1784.05, "word": " و", "probability": 0.9111328125}, {"start": 1784.05, "end": 1784.23, "word": " a", "probability": 0.86376953125}, {"start": 1784.23, "end": 1784.73, "word": " إذا", "probability": 0.6395263671875}, {"start": 1784.73, "end": 1785.15, "word": " صارت", "probability": 0.96142578125}, {"start": 1785.15, "end": 1785.31, "word": " ال", "probability": 0.95751953125}, {"start": 1785.31, "end": 1785.57, "word": " e", "probability": 0.408935546875}, {"start": 1785.57, "end": 1785.97, "word": " هذه", "probability": 0.775390625}, {"start": 1785.97, "end": 1786.33, "word": " حسب", "probability": 0.971923828125}, {"start": 1786.33, "end": 1787.31, "word": " نظريتنا", "probability": 0.96005859375}, {"start": 1787.31, "end": 1788.11, "word": " هتكون", "probability": 0.9287109375}, {"start": 1788.11, "end": 1788.79, "word": " continuous", "probability": 0.96337890625}, {"start": 1788.79, "end": 1789.41, "word": " نظرية", "probability": 0.779052734375}, {"start": 1789.41, "end": 1789.97, "word": " الأولى", "probability": 0.9806315104166666}], "temperature": 1.0}, {"id": 80, "seek": 180582, "start": 1790.3, "end": 1805.82, "text": "في سيكشن 8 اللي هو 2 هتكون الـ E is continuous على ناقص A و A قولنا if E N is a sequence of continuous functions that converge uniformly to some function then this function or some function is continuous on ناقص A و E", "tokens": [41185, 8608, 1829, 4117, 8592, 1863, 1649, 13672, 1829, 31439, 568, 8032, 2655, 30544, 2423, 39184, 462, 307, 10957, 15844, 8717, 995, 4587, 9381, 316, 4032, 316, 12174, 12610, 8315, 498, 462, 426, 307, 257, 8310, 295, 10957, 6828, 300, 41881, 48806, 281, 512, 2445, 550, 341, 2445, 420, 512, 2445, 307, 10957, 322, 8717, 995, 4587, 9381, 316, 4032, 462], "avg_logprob": -0.3074596774193548, "compression_ratio": 1.5238095238095237, "no_speech_prob": 0.0, "words": [{"start": 1790.3, "end": 1790.5, "word": "في", "probability": 0.54248046875}, {"start": 1790.5, "end": 1790.92, "word": " سيكشن", "probability": 0.56968994140625}, {"start": 1790.92, "end": 1791.24, "word": " 8", "probability": 0.572265625}, {"start": 1791.24, "end": 1791.84, "word": " اللي", "probability": 0.5413818359375}, {"start": 1791.84, "end": 1792.16, "word": " هو", "probability": 0.9765625}, {"start": 1792.16, "end": 1792.74, "word": " 2", "probability": 0.67138671875}, {"start": 1792.74, "end": 1793.56, "word": " هتكون", "probability": 0.7229817708333334}, {"start": 1793.56, "end": 1793.78, "word": " الـ", "probability": 0.795654296875}, {"start": 1793.78, "end": 1793.88, "word": " E", "probability": 0.78857421875}, {"start": 1793.88, "end": 1794.06, "word": " is", "probability": 0.59130859375}, {"start": 1794.06, "end": 1794.62, "word": " continuous", "probability": 0.90380859375}, {"start": 1794.62, "end": 1794.9, "word": " على", "probability": 0.80224609375}, {"start": 1794.9, "end": 1795.34, "word": " ناقص", "probability": 0.895751953125}, {"start": 1795.34, "end": 1795.56, "word": " A", "probability": 0.55078125}, {"start": 1795.56, "end": 1795.7, "word": " و", "probability": 0.82373046875}, {"start": 1795.7, "end": 1795.86, "word": " A", "probability": 0.45751953125}, {"start": 1795.86, "end": 1796.36, "word": " قولنا", "probability": 0.7379557291666666}, {"start": 1796.36, "end": 1797.02, "word": " if", "probability": 0.50439453125}, {"start": 1797.02, "end": 1797.38, "word": " E", "probability": 0.53173828125}, {"start": 1797.38, "end": 1797.6, "word": " N", "probability": 0.3173828125}, {"start": 1797.6, "end": 1797.8, "word": " is", "probability": 0.94287109375}, {"start": 1797.8, "end": 1797.94, "word": " a", "probability": 0.904296875}, {"start": 1797.94, "end": 1798.34, "word": " sequence", "probability": 0.97607421875}, {"start": 1798.34, "end": 1798.52, "word": " of", "probability": 0.9716796875}, {"start": 1798.52, "end": 1799.02, "word": " continuous", "probability": 0.8447265625}, {"start": 1799.02, "end": 1799.5, "word": " functions", "probability": 0.8330078125}, {"start": 1799.5, "end": 1799.74, "word": " that", "probability": 0.853515625}, {"start": 1799.74, "end": 1800.2, "word": " converge", "probability": 0.84033203125}, {"start": 1800.2, "end": 1800.56, "word": " uniformly", "probability": 0.9853515625}, {"start": 1800.56, "end": 1800.8, "word": " to", "probability": 0.89306640625}, {"start": 1800.8, "end": 1801.0, "word": " some", "probability": 0.91943359375}, {"start": 1801.0, "end": 1801.54, "word": " function", "probability": 0.9541015625}, {"start": 1801.54, "end": 1802.14, "word": " then", "probability": 0.61376953125}, {"start": 1802.14, "end": 1802.52, "word": " this", "probability": 0.93505859375}, {"start": 1802.52, "end": 1803.0, "word": " function", "probability": 0.96337890625}, {"start": 1803.0, "end": 1803.2, "word": " or", "probability": 0.477783203125}, {"start": 1803.2, "end": 1803.44, "word": " some", "probability": 0.91552734375}, {"start": 1803.44, "end": 1803.82, "word": " function", "probability": 0.9658203125}, {"start": 1803.82, "end": 1804.04, "word": " is", "probability": 0.95849609375}, {"start": 1804.04, "end": 1804.46, "word": " continuous", "probability": 0.8837890625}, {"start": 1804.46, "end": 1804.94, "word": " on", "probability": 0.8720703125}, {"start": 1804.94, "end": 1805.44, "word": " ناقص", "probability": 0.991455078125}, {"start": 1805.44, "end": 1805.6, "word": " A", "probability": 0.9150390625}, {"start": 1805.6, "end": 1805.72, "word": " و", "probability": 0.93408203125}, {"start": 1805.72, "end": 1805.82, "word": " E", "probability": 0.58056640625}], "temperature": 1.0}, {"id": 81, "seek": 183386, "start": 1806.08, "end": 1833.86, "text": "إذا صارت ال E continuous على نقص A و A يعني ال E continuous عند من؟ عند ال X و since X was arbitrary in R then E هتكون is continuous على كل ال R إذا صارت عندي E is continuous at any X element in R الآن لو جينا حسبنا ال E N of 0 و E 1 of 0 و E 1 of 0 أشو بالساوية؟ هي واحد", "tokens": [28814, 15730, 20328, 9640, 2655, 2423, 462, 10957, 15844, 8717, 4587, 9381, 316, 4032, 316, 37495, 22653, 2423, 462, 10957, 43242, 9154, 22807, 43242, 2423, 1783, 4032, 1670, 1783, 390, 23211, 294, 497, 550, 462, 8032, 2655, 30544, 307, 10957, 15844, 28242, 2423, 497, 11933, 15730, 20328, 9640, 2655, 43242, 1829, 462, 307, 10957, 412, 604, 1783, 4478, 294, 497, 6024, 48506, 45164, 10874, 1829, 8315, 11331, 35457, 8315, 2423, 462, 426, 295, 1958, 4032, 462, 502, 295, 1958, 4032, 462, 502, 295, 1958, 5551, 8592, 2407, 20666, 3794, 995, 2407, 10632, 22807, 39896, 36764, 24401], "avg_logprob": -0.2641752675636527, "compression_ratio": 1.6222222222222222, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1806.08, "end": 1806.44, "word": "إذا", "probability": 0.791259765625}, {"start": 1806.44, "end": 1806.88, "word": " صارت", "probability": 0.7548828125}, {"start": 1806.88, "end": 1807.06, "word": " ال", "probability": 0.77685546875}, {"start": 1807.06, "end": 1807.22, "word": " E", "probability": 0.297607421875}, {"start": 1807.22, "end": 1807.78, "word": " continuous", "probability": 0.86181640625}, {"start": 1807.78, "end": 1808.0, "word": " على", "probability": 0.85986328125}, {"start": 1808.0, "end": 1808.36, "word": " نقص", "probability": 0.7931315104166666}, {"start": 1808.36, "end": 1808.5, "word": " A", "probability": 0.33544921875}, {"start": 1808.5, "end": 1808.62, "word": " و", "probability": 0.69482421875}, {"start": 1808.62, "end": 1808.84, "word": " A", "probability": 0.6689453125}, {"start": 1808.84, "end": 1809.4, "word": " يعني", "probability": 0.91064453125}, {"start": 1809.4, "end": 1809.58, "word": " ال", "probability": 0.9072265625}, {"start": 1809.58, "end": 1809.72, "word": " E", "probability": 0.96484375}, {"start": 1809.72, "end": 1810.2, "word": " continuous", "probability": 0.93994140625}, {"start": 1810.2, "end": 1810.48, "word": " عند", "probability": 0.943359375}, {"start": 1810.48, "end": 1810.9, "word": " من؟", "probability": 0.5672607421875}, {"start": 1810.9, "end": 1811.12, "word": " عند", "probability": 0.9404296875}, {"start": 1811.12, "end": 1811.28, "word": " ال", "probability": 0.65869140625}, {"start": 1811.28, "end": 1811.42, "word": " X", "probability": 0.97119140625}, {"start": 1811.42, "end": 1811.56, "word": " و", "probability": 0.82275390625}, {"start": 1811.56, "end": 1811.96, "word": " since", "probability": 0.79638671875}, {"start": 1811.96, "end": 1812.24, "word": " X", "probability": 0.9833984375}, {"start": 1812.24, "end": 1812.52, "word": " was", "probability": 0.9306640625}, {"start": 1812.52, "end": 1813.2, "word": " arbitrary", "probability": 0.814453125}, {"start": 1813.2, "end": 1813.54, "word": " in", "probability": 0.90966796875}, {"start": 1813.54, "end": 1813.88, "word": " R", "probability": 0.99560546875}, {"start": 1813.88, "end": 1814.52, "word": " then", "probability": 0.48583984375}, {"start": 1814.52, "end": 1815.14, "word": " E", "probability": 0.86328125}, {"start": 1815.14, "end": 1816.1, "word": " هتكون", "probability": 0.81884765625}, {"start": 1816.1, "end": 1816.48, "word": " is", "probability": 0.407958984375}, {"start": 1816.48, "end": 1817.26, "word": " continuous", "probability": 0.904296875}, {"start": 1817.26, "end": 1817.64, "word": " على", "probability": 0.87109375}, {"start": 1817.64, "end": 1818.16, "word": " كل", "probability": 0.98779296875}, {"start": 1818.16, "end": 1818.42, "word": " ال", "probability": 0.921875}, {"start": 1818.42, "end": 1819.06, "word": " R", "probability": 0.9794921875}, {"start": 1819.06, "end": 1819.76, "word": " إذا", "probability": 0.932373046875}, {"start": 1819.76, "end": 1820.28, "word": " صارت", "probability": 0.9822591145833334}, {"start": 1820.28, "end": 1820.84, "word": " عندي", "probability": 0.5208740234375}, {"start": 1820.84, "end": 1821.18, "word": " E", "probability": 0.97802734375}, {"start": 1821.18, "end": 1821.74, "word": " is", "probability": 0.87841796875}, {"start": 1821.74, "end": 1822.36, "word": " continuous", "probability": 0.90673828125}, {"start": 1822.36, "end": 1822.84, "word": " at", "probability": 0.62890625}, {"start": 1822.84, "end": 1823.18, "word": " any", "probability": 0.497314453125}, {"start": 1823.18, "end": 1823.56, "word": " X", "probability": 0.95068359375}, {"start": 1823.56, "end": 1824.02, "word": " element", "probability": 0.89208984375}, {"start": 1824.02, "end": 1824.3, "word": " in", "probability": 0.58837890625}, {"start": 1824.3, "end": 1824.54, "word": " R", "probability": 0.99755859375}, {"start": 1824.54, "end": 1825.76, "word": " الآن", "probability": 0.716064453125}, {"start": 1825.76, "end": 1826.18, "word": " لو", "probability": 0.97021484375}, {"start": 1826.18, "end": 1826.56, "word": " جينا", "probability": 0.73486328125}, {"start": 1826.56, "end": 1827.22, "word": " حسبنا", "probability": 0.9895833333333334}, {"start": 1827.22, "end": 1827.56, "word": " ال", "probability": 0.89501953125}, {"start": 1827.56, "end": 1827.74, "word": " E", "probability": 0.89111328125}, {"start": 1827.74, "end": 1827.96, "word": " N", "probability": 0.393310546875}, {"start": 1827.96, "end": 1828.16, "word": " of", "probability": 0.7744140625}, {"start": 1828.16, "end": 1828.54, "word": " 0", "probability": 0.61279296875}, {"start": 1828.54, "end": 1828.7, "word": " و", "probability": 0.6494140625}, {"start": 1828.7, "end": 1828.84, "word": " E", "probability": 0.61474609375}, {"start": 1828.84, "end": 1829.08, "word": " 1", "probability": 0.767578125}, {"start": 1829.08, "end": 1829.3, "word": " of", "probability": 0.94189453125}, {"start": 1829.3, "end": 1829.74, "word": " 0", "probability": 0.97900390625}, {"start": 1829.74, "end": 1830.56, "word": " و", "probability": 0.6650390625}, {"start": 1830.56, "end": 1830.74, "word": " E", "probability": 0.88818359375}, {"start": 1830.74, "end": 1831.0, "word": " 1", "probability": 0.90673828125}, {"start": 1831.0, "end": 1831.18, "word": " of", "probability": 0.95654296875}, {"start": 1831.18, "end": 1831.4, "word": " 0", "probability": 0.9853515625}, {"start": 1831.4, "end": 1831.6, "word": " أشو", "probability": 0.5361328125}, {"start": 1831.6, "end": 1832.52, "word": " بالساوية؟", "probability": 0.7775065104166666}, {"start": 1832.52, "end": 1832.7, "word": " هي", "probability": 0.77783203125}, {"start": 1832.7, "end": 1833.86, "word": " واحد", "probability": 0.758056640625}], "temperature": 1.0}, {"id": 82, "seek": 185923, "start": 1834.41, "end": 1859.23, "text": "E اللي هو N زائد واحد of Zero اللي هو بساوي من سفر لسفر هيطلع سفر وهذا واحد يعني دايما ال E N of Zero هتطلع إيش؟ Zero مدام E N of Zero Zero وبما أنه E is continuous إذن limit ال E", "tokens": [36, 13672, 1829, 31439, 426, 30767, 16373, 3215, 36764, 24401, 295, 17182, 13672, 1829, 31439, 4724, 3794, 995, 45865, 9154, 8608, 5172, 2288, 5296, 3794, 5172, 2288, 39896, 9566, 1211, 3615, 8608, 5172, 2288, 37037, 15730, 36764, 24401, 37495, 22653, 11778, 47302, 15042, 2423, 462, 426, 295, 17182, 8032, 2655, 9566, 1211, 3615, 11933, 1829, 8592, 22807, 17182, 3714, 3215, 10943, 462, 426, 295, 17182, 17182, 4032, 3555, 15042, 14739, 3224, 462, 307, 10957, 11933, 8848, 1863, 4948, 2423, 462], "avg_logprob": -0.29282407996095255, "compression_ratio": 1.5773809523809523, "no_speech_prob": 4.172325134277344e-06, "words": [{"start": 1834.41, "end": 1835.05, "word": "E", "probability": 0.56396484375}, {"start": 1835.05, "end": 1835.65, "word": " اللي", "probability": 0.41075897216796875}, {"start": 1835.65, "end": 1836.23, "word": " هو", "probability": 0.97802734375}, {"start": 1836.23, "end": 1837.63, "word": " N", "probability": 0.501953125}, {"start": 1837.63, "end": 1838.29, "word": " زائد", "probability": 0.5459798177083334}, {"start": 1838.29, "end": 1838.71, "word": " واحد", "probability": 0.8046875}, {"start": 1838.71, "end": 1838.93, "word": " of", "probability": 0.68017578125}, {"start": 1838.93, "end": 1839.41, "word": " Zero", "probability": 0.5009765625}, {"start": 1839.41, "end": 1840.75, "word": " اللي", "probability": 0.791015625}, {"start": 1840.75, "end": 1841.13, "word": " هو", "probability": 0.9599609375}, {"start": 1841.13, "end": 1841.85, "word": " بساوي", "probability": 0.8128662109375}, {"start": 1841.85, "end": 1842.43, "word": " من", "probability": 0.9423828125}, {"start": 1842.43, "end": 1842.75, "word": " سفر", "probability": 0.761474609375}, {"start": 1842.75, "end": 1843.17, "word": " لسفر", "probability": 0.9622802734375}, {"start": 1843.17, "end": 1843.55, "word": " هيطلع", "probability": 0.854248046875}, {"start": 1843.55, "end": 1843.99, "word": " سفر", "probability": 0.9635416666666666}, {"start": 1843.99, "end": 1844.57, "word": " وهذا", "probability": 0.806884765625}, {"start": 1844.57, "end": 1844.99, "word": " واحد", "probability": 0.987548828125}, {"start": 1844.99, "end": 1845.63, "word": " يعني", "probability": 0.9228515625}, {"start": 1845.63, "end": 1846.11, "word": " دايما", "probability": 0.7754720052083334}, {"start": 1846.11, "end": 1846.39, "word": " ال", "probability": 0.74951171875}, {"start": 1846.39, "end": 1846.67, "word": " E", "probability": 0.72998046875}, {"start": 1846.67, "end": 1846.99, "word": " N", "probability": 0.73779296875}, {"start": 1846.99, "end": 1847.39, "word": " of", "probability": 0.91552734375}, {"start": 1847.39, "end": 1847.89, "word": " Zero", "probability": 0.84912109375}, {"start": 1847.89, "end": 1848.75, "word": " هتطلع", "probability": 0.93134765625}, {"start": 1848.75, "end": 1850.15, "word": " إيش؟", "probability": 0.595001220703125}, {"start": 1850.15, "end": 1850.63, "word": " Zero", "probability": 0.84765625}, {"start": 1850.63, "end": 1851.89, "word": " مدام", "probability": 0.7902018229166666}, {"start": 1851.89, "end": 1852.09, "word": " E", "probability": 0.921875}, {"start": 1852.09, "end": 1852.29, "word": " N", "probability": 0.93115234375}, {"start": 1852.29, "end": 1852.47, "word": " of", "probability": 0.9580078125}, {"start": 1852.47, "end": 1852.75, "word": " Zero", "probability": 0.958984375}, {"start": 1852.75, "end": 1853.25, "word": " Zero", "probability": 0.290771484375}, {"start": 1853.25, "end": 1854.37, "word": " وبما", "probability": 0.7736002604166666}, {"start": 1854.37, "end": 1854.97, "word": " أنه", "probability": 0.521240234375}, {"start": 1854.97, "end": 1855.15, "word": " E", "probability": 0.96728515625}, {"start": 1855.15, "end": 1855.41, "word": " is", "probability": 0.7431640625}, {"start": 1855.41, "end": 1856.49, "word": " continuous", "probability": 0.83837890625}, {"start": 1856.49, "end": 1857.37, "word": " إذن", "probability": 0.71484375}, {"start": 1857.37, "end": 1858.25, "word": " limit", "probability": 0.7421875}, {"start": 1858.25, "end": 1858.65, "word": " ال", "probability": 0.81591796875}, {"start": 1858.65, "end": 1859.23, "word": " E", "probability": 0.91650390625}], "temperature": 1.0}, {"id": 83, "seek": 187485, "start": 1860.21, "end": 1874.85, "text": "ن of zero as n goes to infinity بسوء اللي هو E of zero أو E of X أسف E of X as n goes to infinity بسوء E of X وبما أنه اللي هو", "tokens": [1863, 295, 4018, 382, 297, 1709, 281, 13202, 4724, 3794, 2407, 38207, 13672, 1829, 31439, 462, 295, 4018, 34051, 462, 295, 1783, 5551, 3794, 5172, 462, 295, 1783, 382, 297, 1709, 281, 13202, 4724, 3794, 2407, 38207, 462, 295, 1783, 46599, 15042, 14739, 3224, 13672, 1829, 31439], "avg_logprob": -0.3505859449505806, "compression_ratio": 1.6391752577319587, "no_speech_prob": 6.258487701416016e-06, "words": [{"start": 1860.21, "end": 1860.67, "word": "ن", "probability": 0.30810546875}, {"start": 1860.67, "end": 1861.19, "word": " of", "probability": 0.1285400390625}, {"start": 1861.19, "end": 1861.63, "word": " zero", "probability": 0.28076171875}, {"start": 1861.63, "end": 1861.95, "word": " as", "probability": 0.81884765625}, {"start": 1861.95, "end": 1862.15, "word": " n", "probability": 0.4970703125}, {"start": 1862.15, "end": 1862.41, "word": " goes", "probability": 0.70556640625}, {"start": 1862.41, "end": 1862.61, "word": " to", "probability": 0.9228515625}, {"start": 1862.61, "end": 1863.13, "word": " infinity", "probability": 0.8388671875}, {"start": 1863.13, "end": 1864.11, "word": " بسوء", "probability": 0.594482421875}, {"start": 1864.11, "end": 1864.33, "word": " اللي", "probability": 0.616943359375}, {"start": 1864.33, "end": 1864.61, "word": " هو", "probability": 0.97119140625}, {"start": 1864.61, "end": 1865.15, "word": " E", "probability": 0.7001953125}, {"start": 1865.15, "end": 1865.93, "word": " of", "probability": 0.9208984375}, {"start": 1865.93, "end": 1866.51, "word": " zero", "probability": 0.459228515625}, {"start": 1866.51, "end": 1867.11, "word": " أو", "probability": 0.44873046875}, {"start": 1867.11, "end": 1867.31, "word": " E", "probability": 0.9375}, {"start": 1867.31, "end": 1867.45, "word": " of", "probability": 0.89697265625}, {"start": 1867.45, "end": 1867.69, "word": " X", "probability": 0.9443359375}, {"start": 1867.69, "end": 1868.11, "word": " أسف", "probability": 0.8067220052083334}, {"start": 1868.11, "end": 1868.31, "word": " E", "probability": 0.373046875}, {"start": 1868.31, "end": 1868.41, "word": " of", "probability": 0.9384765625}, {"start": 1868.41, "end": 1868.97, "word": " X", "probability": 0.68408203125}, {"start": 1868.97, "end": 1869.91, "word": " as", "probability": 0.80517578125}, {"start": 1869.91, "end": 1870.25, "word": " n", "probability": 0.431396484375}, {"start": 1870.25, "end": 1870.47, "word": " goes", "probability": 0.8798828125}, {"start": 1870.47, "end": 1870.59, "word": " to", "probability": 0.9130859375}, {"start": 1870.59, "end": 1870.99, "word": " infinity", "probability": 0.794921875}, {"start": 1870.99, "end": 1871.51, "word": " بسوء", "probability": 0.9537353515625}, {"start": 1871.51, "end": 1871.93, "word": " E", "probability": 0.958984375}, {"start": 1871.93, "end": 1872.53, "word": " of", "probability": 0.95703125}, {"start": 1872.53, "end": 1872.91, "word": " X", "probability": 0.994140625}, {"start": 1872.91, "end": 1873.73, "word": " وبما", "probability": 0.818115234375}, {"start": 1873.73, "end": 1874.17, "word": " أنه", "probability": 0.5655517578125}, {"start": 1874.17, "end": 1874.51, "word": " اللي", "probability": 0.97607421875}, {"start": 1874.51, "end": 1874.85, "word": " هو", "probability": 0.9951171875}], "temperature": 1.0}, {"id": 84, "seek": 189555, "start": 1875.75, "end": 1895.55, "text": "اللي هي ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال ال", "tokens": [6027, 20292, 39896, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423, 2423], "avg_logprob": -0.10159722222222223, "compression_ratio": 36.064516129032256, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1875.75, "end": 1876.17, "word": "اللي", "probability": 0.4918212890625}, {"start": 1876.17, "end": 1876.57, "word": " هي", "probability": 0.77978515625}, {"start": 1876.57, "end": 1877.27, "word": " ال", "probability": 0.86376953125}, {"start": 1877.27, "end": 1877.41, "word": " ال", "probability": 0.25634765625}, {"start": 1877.41, "end": 1877.95, "word": " ال", "probability": 0.943359375}, {"start": 1877.95, "end": 1878.29, "word": " ال", "probability": 0.8564453125}, {"start": 1878.29, "end": 1878.45, "word": " ال", "probability": 0.483642578125}, {"start": 1878.45, "end": 1878.45, "word": " ال", "probability": 0.42724609375}, {"start": 1878.45, "end": 1878.65, "word": " ال", "probability": 0.58447265625}, {"start": 1878.65, "end": 1879.31, "word": " ال", "probability": 0.7607421875}, {"start": 1879.31, "end": 1879.41, "word": " ال", "probability": 0.8525390625}, {"start": 1879.41, "end": 1879.45, "word": " ال", "probability": 0.8955078125}, {"start": 1879.45, "end": 1879.79, "word": " ال", "probability": 0.91650390625}, {"start": 1879.79, "end": 1879.79, "word": " ال", "probability": 0.93017578125}, {"start": 1879.79, "end": 1879.81, "word": " ال", "probability": 0.93701171875}, {"start": 1879.81, "end": 1879.91, "word": " ال", "probability": 0.94287109375}, {"start": 1879.91, "end": 1880.03, "word": " ال", "probability": 0.947265625}, {"start": 1880.03, "end": 1880.21, "word": " ال", "probability": 0.94970703125}, {"start": 1880.21, "end": 1880.21, "word": " ال", "probability": 0.951171875}, {"start": 1880.21, "end": 1880.59, "word": " ال", "probability": 0.9521484375}, {"start": 1880.59, "end": 1880.59, "word": " ال", "probability": 0.95361328125}, {"start": 1880.59, "end": 1880.59, "word": " ال", "probability": 0.95458984375}, {"start": 1880.59, "end": 1880.59, "word": " ال", "probability": 0.95556640625}, {"start": 1880.59, "end": 1880.59, "word": " ال", "probability": 0.95556640625}, {"start": 1880.59, "end": 1880.59, "word": " ال", "probability": 0.9560546875}, {"start": 1880.59, "end": 1880.59, "word": " ال", "probability": 0.95703125}, {"start": 1880.59, "end": 1880.59, "word": " ال", "probability": 0.95751953125}, {"start": 1880.59, "end": 1880.59, "word": " ال", "probability": 0.95849609375}, {"start": 1880.59, "end": 1880.59, "word": " ال", "probability": 0.958984375}, {"start": 1880.59, "end": 1880.59, "word": " ال", "probability": 0.9599609375}, {"start": 1880.59, "end": 1880.59, "word": " ال", "probability": 0.96044921875}, {"start": 1880.59, "end": 1880.67, "word": " ال", "probability": 0.96142578125}, {"start": 1880.67, "end": 1880.67, "word": " ال", "probability": 0.96142578125}, {"start": 1880.67, "end": 1880.69, "word": " ال", "probability": 0.96142578125}, {"start": 1880.69, "end": 1880.69, "word": " ال", "probability": 0.962890625}, {"start": 1880.69, "end": 1880.69, "word": " ال", "probability": 0.962890625}, {"start": 1880.69, "end": 1880.69, "word": " ال", "probability": 0.9638671875}, {"start": 1880.69, "end": 1880.85, "word": " ال", "probability": 0.96435546875}, {"start": 1880.85, "end": 1880.87, "word": " ال", "probability": 0.96484375}, {"start": 1880.87, "end": 1880.87, "word": " ال", "probability": 0.9658203125}, {"start": 1880.87, "end": 1881.37, "word": " ال", "probability": 0.9658203125}, {"start": 1881.37, "end": 1881.37, "word": " ال", "probability": 0.966796875}, {"start": 1881.37, "end": 1881.37, "word": " ال", "probability": 0.9677734375}, {"start": 1881.37, "end": 1881.37, "word": " ال", "probability": 0.9677734375}, {"start": 1881.37, "end": 1881.61, "word": " ال", "probability": 0.96826171875}, {"start": 1881.61, "end": 1881.61, "word": " ال", "probability": 0.96875}, {"start": 1881.61, "end": 1881.61, "word": " ال", "probability": 0.96923828125}, {"start": 1881.61, "end": 1881.61, "word": " ال", "probability": 0.9697265625}, {"start": 1881.61, "end": 1881.61, "word": " ال", "probability": 0.97021484375}, {"start": 1881.61, "end": 1881.61, "word": " ال", "probability": 0.97119140625}, {"start": 1881.61, "end": 1881.61, "word": " ال", "probability": 0.97119140625}, {"start": 1881.61, "end": 1881.61, "word": " ال", "probability": 0.97119140625}, {"start": 1881.61, "end": 1881.61, "word": " ال", "probability": 0.9716796875}, {"start": 1881.61, "end": 1881.61, "word": " ال", "probability": 0.97216796875}, {"start": 1881.61, "end": 1881.61, "word": " ال", "probability": 0.97314453125}, {"start": 1881.61, "end": 1881.61, "word": " ال", "probability": 0.97314453125}, {"start": 1881.61, "end": 1881.61, "word": " ال", "probability": 0.97314453125}, {"start": 1881.61, "end": 1882.19, "word": " ال", "probability": 0.97314453125}, {"start": 1882.19, "end": 1882.19, "word": " ال", "probability": 0.97412109375}, {"start": 1882.19, "end": 1882.19, "word": " ال", "probability": 0.97412109375}, {"start": 1882.19, "end": 1882.39, "word": " ال", "probability": 0.97412109375}, {"start": 1882.39, "end": 1882.39, "word": " ال", "probability": 0.974609375}, {"start": 1882.39, "end": 1882.39, "word": " ال", "probability": 0.97509765625}, {"start": 1882.39, "end": 1882.39, "word": " ال", "probability": 0.97509765625}, {"start": 1882.39, "end": 1882.39, "word": " ال", "probability": 0.97509765625}, {"start": 1882.39, "end": 1882.39, "word": " ال", "probability": 0.9755859375}, {"start": 1882.39, "end": 1882.61, "word": " ال", "probability": 0.97607421875}, {"start": 1882.61, "end": 1882.61, "word": " ال", "probability": 0.97607421875}, {"start": 1882.61, "end": 1882.61, "word": " ال", "probability": 0.9765625}, {"start": 1882.61, "end": 1883.13, "word": " ال", "probability": 0.97705078125}, {"start": 1883.13, "end": 1883.13, "word": " ال", "probability": 0.97705078125}, {"start": 1883.13, "end": 1883.31, "word": " ال", "probability": 0.97705078125}, {"start": 1883.31, "end": 1885.65, "word": " ال", "probability": 0.97802734375}, {"start": 1885.65, "end": 1885.67, "word": " ال", "probability": 0.97802734375}, {"start": 1885.67, "end": 1885.67, "word": " ال", "probability": 0.97802734375}, {"start": 1885.67, "end": 1885.67, "word": " ال", "probability": 0.97802734375}, {"start": 1885.67, "end": 1885.67, "word": " ال", "probability": 0.97802734375}, {"start": 1885.67, "end": 1885.67, "word": " ال", "probability": 0.978515625}, {"start": 1885.67, "end": 1885.67, "word": " ال", "probability": 0.97802734375}, {"start": 1885.67, "end": 1886.39, "word": " ال", "probability": 0.97900390625}, {"start": 1886.39, "end": 1886.39, "word": " ال", "probability": 0.978515625}, {"start": 1886.39, "end": 1886.39, "word": " ال", "probability": 0.97900390625}, {"start": 1886.39, "end": 1886.39, "word": " ال", "probability": 0.9794921875}, {"start": 1886.39, "end": 1886.39, "word": " ال", "probability": 0.9794921875}, {"start": 1886.39, "end": 1890.47, "word": " ال", "probability": 0.9794921875}, {"start": 1890.47, "end": 1890.47, "word": " ال", "probability": 0.9794921875}, {"start": 1890.47, "end": 1890.47, "word": " ال", "probability": 0.97998046875}, {"start": 1890.47, "end": 1890.47, "word": " ال", "probability": 0.97998046875}, {"start": 1890.47, "end": 1890.47, "word": " ال", "probability": 0.97998046875}, {"start": 1890.47, "end": 1890.47, "word": " ال", "probability": 0.98046875}, {"start": 1890.47, "end": 1890.47, "word": " ال", "probability": 0.98046875}, {"start": 1890.47, "end": 1890.47, "word": " ال", "probability": 0.98046875}, {"start": 1890.47, "end": 1890.47, "word": " ال", "probability": 0.98046875}, {"start": 1890.47, "end": 1890.47, "word": " ال", "probability": 0.98046875}, {"start": 1890.47, "end": 1891.65, "word": " ال", "probability": 0.98095703125}, {"start": 1891.65, "end": 1891.65, "word": " ال", "probability": 0.97998046875}, {"start": 1891.65, "end": 1891.65, "word": " ال", "probability": 0.98046875}, {"start": 1891.65, "end": 1891.65, "word": " ال", "probability": 0.98046875}, {"start": 1891.65, "end": 1891.65, "word": " ال", "probability": 0.98046875}, {"start": 1891.65, "end": 1891.95, "word": " ال", "probability": 0.98046875}, {"start": 1891.95, "end": 1891.99, "word": " ال", "probability": 0.98046875}, {"start": 1891.99, "end": 1892.43, "word": " ال", "probability": 0.97998046875}, {"start": 1892.43, "end": 1892.47, "word": " ال", "probability": 0.98046875}, {"start": 1892.47, "end": 1892.47, "word": " ال", "probability": 0.97998046875}, {"start": 1892.47, "end": 1892.47, "word": " ال", "probability": 0.97998046875}, {"start": 1892.47, "end": 1892.47, "word": " ال", "probability": 0.97998046875}, {"start": 1892.47, "end": 1892.47, "word": " ال", "probability": 0.98046875}, {"start": 1892.47, "end": 1892.47, "word": " ال", "probability": 0.98095703125}, {"start": 1892.47, "end": 1892.47, "word": " ال", "probability": 0.97998046875}, {"start": 1892.47, "end": 1892.47, "word": " ال", "probability": 0.98046875}, {"start": 1892.47, "end": 1892.79, "word": " ال", "probability": 0.97998046875}, {"start": 1892.79, "end": 1892.79, "word": " ال", "probability": 0.9794921875}, {"start": 1892.79, "end": 1892.79, "word": " ال", "probability": 0.97998046875}, {"start": 1892.79, "end": 1892.79, "word": " ال", "probability": 0.97998046875}, {"start": 1892.79, "end": 1892.79, "word": " ال", "probability": 0.9794921875}, {"start": 1892.79, "end": 1892.79, "word": " ال", "probability": 0.97900390625}, {"start": 1892.79, "end": 1892.79, "word": " ال", "probability": 0.9794921875}, {"start": 1892.79, "end": 1892.79, "word": " ال", "probability": 0.9794921875}, {"start": 1892.79, "end": 1892.79, "word": " ال", "probability": 0.97900390625}, {"start": 1892.79, "end": 1892.79, "word": " ال", "probability": 0.97900390625}, {"start": 1892.79, "end": 1892.79, "word": " ال", "probability": 0.97900390625}, {"start": 1892.79, "end": 1892.79, "word": " ال", "probability": 0.978515625}, {"start": 1892.79, "end": 1892.79, "word": " ال", "probability": 0.97802734375}, {"start": 1892.79, "end": 1892.79, "word": " ال", "probability": 0.9775390625}, {"start": 1892.79, "end": 1892.79, "word": " ال", "probability": 0.97705078125}, {"start": 1892.79, "end": 1892.79, "word": " ال", "probability": 0.97705078125}, {"start": 1892.79, "end": 1892.79, "word": " ال", "probability": 0.9775390625}, {"start": 1892.79, "end": 1892.79, "word": " ال", "probability": 0.97705078125}, {"start": 1892.79, "end": 1892.79, "word": " ال", "probability": 0.9755859375}, {"start": 1892.79, "end": 1892.79, "word": " ال", "probability": 0.97705078125}, {"start": 1892.79, "end": 1892.79, "word": " ال", "probability": 0.9755859375}, {"start": 1892.79, "end": 1892.79, "word": " ال", "probability": 0.9765625}, {"start": 1892.79, "end": 1892.79, "word": " ال", "probability": 0.97607421875}, {"start": 1892.79, "end": 1892.79, "word": " ال", "probability": 0.97509765625}, {"start": 1892.79, "end": 1892.79, "word": " ال", "probability": 0.97509765625}, {"start": 1892.79, "end": 1892.79, "word": " ال", "probability": 0.97509765625}, {"start": 1892.79, "end": 1892.79, "word": " ال", "probability": 0.974609375}, {"start": 1892.79, "end": 1892.79, "word": " ال", "probability": 0.9736328125}, {"start": 1892.79, "end": 1892.79, "word": " ال", "probability": 0.9736328125}, {"start": 1892.79, "end": 1892.87, "word": " ال", "probability": 0.97412109375}, {"start": 1892.87, "end": 1892.87, "word": " ال", "probability": 0.97265625}, {"start": 1892.87, "end": 1892.87, "word": " ال", "probability": 0.97216796875}, {"start": 1892.87, "end": 1892.87, "word": " ال", "probability": 0.97119140625}, {"start": 1892.87, "end": 1892.87, "word": " ال", "probability": 0.97216796875}, {"start": 1892.87, "end": 1892.87, "word": " ال", "probability": 0.9716796875}, {"start": 1892.87, "end": 1892.87, "word": " ال", "probability": 0.96875}, {"start": 1892.87, "end": 1892.87, "word": " ال", "probability": 0.9697265625}, {"start": 1892.87, "end": 1892.87, "word": " ال", "probability": 0.97021484375}, {"start": 1892.87, "end": 1892.87, "word": " ال", "probability": 0.970703125}, {"start": 1892.87, "end": 1892.95, "word": " ال", "probability": 0.96923828125}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.96728515625}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.966796875}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.96630859375}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.96533203125}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.96435546875}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.9619140625}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.962890625}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.9560546875}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.96044921875}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.9599609375}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.9580078125}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.9580078125}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.95849609375}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.9560546875}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.9560546875}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.95361328125}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.95263671875}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.9541015625}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.95556640625}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.94775390625}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.94921875}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.9462890625}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.9453125}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.93994140625}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.94775390625}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.94091796875}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.94140625}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.9384765625}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.93505859375}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.92919921875}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.93212890625}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.9326171875}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.92919921875}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.923828125}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.9248046875}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.90771484375}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.91650390625}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.912109375}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.90576171875}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.90380859375}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.9150390625}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.8974609375}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.89501953125}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.884765625}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.88330078125}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.87255859375}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.8623046875}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.876953125}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.86669921875}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.8671875}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.8564453125}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.84619140625}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.84375}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.837890625}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.81982421875}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.79638671875}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.8095703125}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.77685546875}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.7939453125}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.74853515625}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.76513671875}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.7470703125}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.73095703125}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.7158203125}, {"start": 1892.95, "end": 1892.95, "word": " ال", "probability": 0.71875}, {"start": 1892.95, "end": 1893.35, "word": " ال", "probability": 0.69873046875}, {"start": 1893.35, "end": 1893.35, "word": " ال", "probability": 0.6435546875}, {"start": 1893.35, "end": 1895.37, "word": " ال", "probability": 0.7021484375}, {"start": 1895.37, "end": 1895.43, "word": " ال", "probability": 0.4091796875}, {"start": 1895.43, "end": 1895.55, "word": " ال", "probability": 0.328125}, {"start": 1895.55, "end": 1895.55, "word": " ال", "probability": 0.56884765625}, {"start": 1895.55, "end": 1895.55, "word": " ال", "probability": 0.319091796875}, {"start": 1895.55, "end": 1895.55, "word": " ال", "probability": 0.57861328125}], "temperature": 1.0}, {"id": 85, "seek": 191430, "start": 1897.02, "end": 1914.3, "text": "أنا كنت بخلطها أنا بقول E n of 0 بساوي 1 limit E n of X بساوي E of X وال E is continuous إذا الحيكون ال E of 0 هذه هتساوي إيش؟ هيساوي 1 لأنه limit E n of 0 point twice بساوي E of 0 اللي هي 0", "tokens": [10721, 8315, 9122, 29399, 4724, 9778, 1211, 9566, 11296, 41850, 4724, 39648, 462, 297, 295, 1958, 4724, 3794, 995, 45865, 502, 4948, 462, 297, 295, 1783, 4724, 3794, 995, 45865, 462, 295, 1783, 16070, 462, 307, 10957, 11933, 15730, 21542, 1829, 30544, 2423, 462, 295, 1958, 29538, 8032, 2655, 3794, 995, 45865, 11933, 1829, 8592, 22807, 39896, 3794, 995, 45865, 502, 5296, 33456, 3224, 4948, 462, 297, 295, 1958, 935, 6091, 4724, 3794, 995, 45865, 462, 295, 1958, 13672, 1829, 39896, 1958], "avg_logprob": -0.3145707702062216, "compression_ratio": 1.5857988165680474, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 1897.02, "end": 1897.3, "word": "أنا", "probability": 0.6710205078125}, {"start": 1897.3, "end": 1897.5, "word": " كنت", "probability": 0.970947265625}, {"start": 1897.5, "end": 1897.98, "word": " بخلطها", "probability": 0.585400390625}, {"start": 1897.98, "end": 1898.08, "word": " أنا", "probability": 0.28515625}, {"start": 1898.08, "end": 1898.3, "word": " بقول", "probability": 0.9638671875}, {"start": 1898.3, "end": 1898.48, "word": " E", "probability": 0.38330078125}, {"start": 1898.48, "end": 1898.62, "word": " n", "probability": 0.181396484375}, {"start": 1898.62, "end": 1898.76, "word": " of", "probability": 0.69873046875}, {"start": 1898.76, "end": 1899.0, "word": " 0", "probability": 0.6201171875}, {"start": 1899.0, "end": 1899.34, "word": " بساوي", "probability": 0.592254638671875}, {"start": 1899.34, "end": 1899.68, "word": " 1", "probability": 0.57373046875}, {"start": 1899.68, "end": 1900.94, "word": " limit", "probability": 0.4326171875}, {"start": 1900.94, "end": 1901.22, "word": " E", "probability": 0.9384765625}, {"start": 1901.22, "end": 1901.38, "word": " n", "probability": 0.927734375}, {"start": 1901.38, "end": 1901.54, "word": " of", "probability": 0.97705078125}, {"start": 1901.54, "end": 1901.68, "word": " X", "probability": 0.64208984375}, {"start": 1901.68, "end": 1902.04, "word": " بساوي", "probability": 0.9503173828125}, {"start": 1902.04, "end": 1902.18, "word": " E", "probability": 0.9853515625}, {"start": 1902.18, "end": 1902.3, "word": " of", "probability": 0.93212890625}, {"start": 1902.3, "end": 1902.5, "word": " X", "probability": 0.99658203125}, {"start": 1902.5, "end": 1902.72, "word": " وال", "probability": 0.43603515625}, {"start": 1902.72, "end": 1902.84, "word": " E", "probability": 0.65625}, {"start": 1902.84, "end": 1902.96, "word": " is", "probability": 0.85791015625}, {"start": 1902.96, "end": 1903.54, "word": " continuous", "probability": 0.9208984375}, {"start": 1903.54, "end": 1904.12, "word": " إذا", "probability": 0.779296875}, {"start": 1904.12, "end": 1904.52, "word": " الحيكون", "probability": 0.7027587890625}, {"start": 1904.52, "end": 1904.7, "word": " ال", "probability": 0.47705078125}, {"start": 1904.7, "end": 1904.86, "word": " E", "probability": 0.99609375}, {"start": 1904.86, "end": 1905.04, "word": " of", "probability": 0.97705078125}, {"start": 1905.04, "end": 1905.38, "word": " 0", "probability": 0.7978515625}, {"start": 1905.38, "end": 1905.8, "word": " هذه", "probability": 0.64697265625}, {"start": 1905.8, "end": 1906.76, "word": " هتساوي", "probability": 0.8427734375}, {"start": 1906.76, "end": 1907.54, "word": " إيش؟", "probability": 0.8212890625}, {"start": 1907.54, "end": 1908.2, "word": " هيساوي", "probability": 0.80804443359375}, {"start": 1908.2, "end": 1908.9, "word": " 1", "probability": 0.54248046875}, {"start": 1908.9, "end": 1909.38, "word": " لأنه", "probability": 0.7828776041666666}, {"start": 1909.38, "end": 1909.66, "word": " limit", "probability": 0.9619140625}, {"start": 1909.66, "end": 1909.88, "word": " E", "probability": 0.96435546875}, {"start": 1909.88, "end": 1910.06, "word": " n", "probability": 0.93115234375}, {"start": 1910.06, "end": 1910.24, "word": " of", "probability": 0.98095703125}, {"start": 1910.24, "end": 1910.66, "word": " 0", "probability": 0.93603515625}, {"start": 1910.66, "end": 1911.24, "word": " point", "probability": 0.2276611328125}, {"start": 1911.24, "end": 1911.82, "word": " twice", "probability": 0.86181640625}, {"start": 1911.82, "end": 1912.42, "word": " بساوي", "probability": 0.8885498046875}, {"start": 1912.42, "end": 1912.66, "word": " E", "probability": 0.9931640625}, {"start": 1912.66, "end": 1912.9, "word": " of", "probability": 0.97314453125}, {"start": 1912.9, "end": 1913.28, "word": " 0", "probability": 0.9462890625}, {"start": 1913.28, "end": 1913.8, "word": " اللي", "probability": 0.85595703125}, {"start": 1913.8, "end": 1914.0, "word": " هي", "probability": 0.92724609375}, {"start": 1914.0, "end": 1914.3, "word": " 0", "probability": 0.413330078125}], "temperature": 1.0}, {"id": 86, "seek": 193708, "start": 1915.06, "end": 1937.08, "text": "الان e n of zero بتساوي واحد for all and infim therefore e of zero بتساوي واحد لإن اللي هي e نفسها is continuous إذا حصلنا على اللي هو الجزء الأول أذكركم في الظاهرية على اللي هو المطلوب أو الخاصية الأولى", "tokens": [6027, 7649, 308, 297, 295, 4018, 39894, 3794, 995, 45865, 36764, 24401, 337, 439, 293, 1536, 332, 4412, 308, 295, 4018, 39894, 3794, 995, 45865, 36764, 24401, 5296, 28814, 1863, 13672, 1829, 39896, 308, 8717, 36178, 11296, 307, 10957, 11933, 15730, 11331, 36520, 8315, 15844, 13672, 1829, 31439, 25724, 11622, 38207, 16247, 12610, 5551, 8848, 37983, 24793, 8978, 6024, 116, 40294, 2288, 10632, 15844, 13672, 1829, 31439, 9673, 9566, 1211, 37746, 34051, 33962, 33546, 10632, 16247, 12610, 7578], "avg_logprob": -0.23674842338018778, "compression_ratio": 1.6844919786096257, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1915.06, "end": 1915.54, "word": "الان", "probability": 0.692138671875}, {"start": 1915.54, "end": 1916.36, "word": " e", "probability": 0.2061767578125}, {"start": 1916.36, "end": 1916.6, "word": " n", "probability": 0.1553955078125}, {"start": 1916.6, "end": 1916.84, "word": " of", "probability": 0.72119140625}, {"start": 1916.84, "end": 1917.08, "word": " zero", "probability": 0.414306640625}, {"start": 1917.08, "end": 1917.36, "word": " بتساوي", "probability": 0.784912109375}, {"start": 1917.36, "end": 1917.54, "word": " واحد", "probability": 0.979248046875}, {"start": 1917.54, "end": 1917.74, "word": " for", "probability": 0.75830078125}, {"start": 1917.74, "end": 1917.96, "word": " all", "probability": 0.9384765625}, {"start": 1917.96, "end": 1918.18, "word": " and", "probability": 0.8583984375}, {"start": 1918.18, "end": 1918.58, "word": " infim", "probability": 0.3634033203125}, {"start": 1918.58, "end": 1919.2, "word": " therefore", "probability": 0.4951171875}, {"start": 1919.2, "end": 1919.96, "word": " e", "probability": 0.42431640625}, {"start": 1919.96, "end": 1920.14, "word": " of", "probability": 0.91064453125}, {"start": 1920.14, "end": 1920.48, "word": " zero", "probability": 0.8671875}, {"start": 1920.48, "end": 1921.64, "word": " بتساوي", "probability": 0.9814453125}, {"start": 1921.64, "end": 1922.64, "word": " واحد", "probability": 0.9873046875}, {"start": 1922.64, "end": 1923.3, "word": " لإن", "probability": 0.83837890625}, {"start": 1923.3, "end": 1923.8, "word": " اللي", "probability": 0.6990966796875}, {"start": 1923.8, "end": 1924.16, "word": " هي", "probability": 0.82568359375}, {"start": 1924.16, "end": 1924.94, "word": " e", "probability": 0.5556640625}, {"start": 1924.94, "end": 1925.52, "word": " نفسها", "probability": 0.9860026041666666}, {"start": 1925.52, "end": 1925.94, "word": " is", "probability": 0.82177734375}, {"start": 1925.94, "end": 1926.92, "word": " continuous", "probability": 0.89306640625}, {"start": 1926.92, "end": 1927.6, "word": " إذا", "probability": 0.693359375}, {"start": 1927.6, "end": 1928.58, "word": " حصلنا", "probability": 0.9363606770833334}, {"start": 1928.58, "end": 1929.56, "word": " على", "probability": 0.87109375}, {"start": 1929.56, "end": 1930.02, "word": " اللي", "probability": 0.9794921875}, {"start": 1930.02, "end": 1930.38, "word": " هو", "probability": 0.9951171875}, {"start": 1930.38, "end": 1931.24, "word": " الجزء", "probability": 0.9475911458333334}, {"start": 1931.24, "end": 1931.7, "word": " الأول", "probability": 0.970947265625}, {"start": 1931.7, "end": 1932.34, "word": " أذكركم", "probability": 0.79876708984375}, {"start": 1932.34, "end": 1932.46, "word": " في", "probability": 0.90966796875}, {"start": 1932.46, "end": 1933.1, "word": " الظاهرية", "probability": 0.72880859375}, {"start": 1933.1, "end": 1933.82, "word": " على", "probability": 0.8330078125}, {"start": 1933.82, "end": 1934.2, "word": " اللي", "probability": 0.990234375}, {"start": 1934.2, "end": 1934.6, "word": " هو", "probability": 0.9921875}, {"start": 1934.6, "end": 1935.56, "word": " المطلوب", "probability": 0.82183837890625}, {"start": 1935.56, "end": 1936.08, "word": " أو", "probability": 0.7998046875}, {"start": 1936.08, "end": 1936.6, "word": " الخاصية", "probability": 0.9524739583333334}, {"start": 1936.6, "end": 1937.08, "word": " الأولى", "probability": 0.9910481770833334}], "temperature": 1.0}, {"id": 87, "seek": 196643, "start": 1937.31, "end": 1966.43, "text": "الخاصية الأولى هى الخاصية الأولى هى عندى أثبتنا .. التانى أسف أثبتنا E اللى هى E of Zero بالساوية واحدة بدى أثبتلك الأن E prime of X هتساوي E of X عشان أثبتها بدنا نذكركم في نظرية أخدناها المرة الماضية اللى هى بتقول ما يليه أذكركم يا جماعة", "tokens": [6027, 9778, 33546, 10632, 16247, 12610, 7578, 8032, 7578, 33962, 33546, 10632, 16247, 12610, 7578, 8032, 7578, 43242, 7578, 5551, 12984, 3555, 2655, 8315, 4386, 16712, 7649, 7578, 5551, 3794, 5172, 5551, 12984, 3555, 2655, 8315, 462, 13672, 7578, 8032, 7578, 462, 295, 17182, 20666, 3794, 995, 2407, 10632, 36764, 24401, 3660, 47525, 7578, 5551, 12984, 3555, 2655, 23275, 16247, 1863, 462, 5835, 295, 1783, 8032, 2655, 3794, 995, 45865, 462, 295, 1783, 6225, 8592, 7649, 5551, 12984, 3555, 2655, 11296, 47525, 8315, 8717, 8848, 37983, 24793, 8978, 8717, 19913, 2288, 10632, 5551, 9778, 3215, 8315, 11296, 9673, 25720, 9673, 46958, 10632, 13672, 7578, 8032, 7578, 39894, 39648, 19446, 7251, 20292, 3224, 5551, 8848, 37983, 24793, 35186, 10874, 15042, 27884], "avg_logprob": -0.18272211236402022, "compression_ratio": 1.9245283018867925, "no_speech_prob": 1.3113021850585938e-06, "words": [{"start": 1937.31, "end": 1938.05, "word": "الخاصية", "probability": 0.897705078125}, {"start": 1938.05, "end": 1938.67, "word": " الأولى", "probability": 0.9788411458333334}, {"start": 1938.67, "end": 1939.11, "word": " هى", "probability": 0.276611328125}, {"start": 1939.11, "end": 1939.67, "word": " الخاصية", "probability": 0.88427734375}, {"start": 1939.67, "end": 1940.31, "word": " الأولى", "probability": 0.9715169270833334}, {"start": 1940.31, "end": 1940.77, "word": " هى", "probability": 0.825927734375}, {"start": 1940.77, "end": 1941.29, "word": " عندى", "probability": 0.74267578125}, {"start": 1941.29, "end": 1941.91, "word": " أثبتنا", "probability": 0.87060546875}, {"start": 1941.91, "end": 1941.91, "word": " ..", "probability": 0.27294921875}, {"start": 1941.91, "end": 1942.37, "word": " التانى", "probability": 0.9150390625}, {"start": 1942.37, "end": 1942.73, "word": " أسف", "probability": 0.7813313802083334}, {"start": 1942.73, "end": 1943.63, "word": " أثبتنا", "probability": 0.9271484375}, {"start": 1943.63, "end": 1943.85, "word": " E", "probability": 0.6875}, {"start": 1943.85, "end": 1944.15, "word": " اللى", "probability": 0.6358642578125}, {"start": 1944.15, "end": 1944.35, "word": " هى", "probability": 0.862060546875}, {"start": 1944.35, "end": 1944.67, "word": " E", "probability": 0.91015625}, {"start": 1944.67, "end": 1945.43, "word": " of", "probability": 0.53076171875}, {"start": 1945.43, "end": 1945.67, "word": " Zero", "probability": 0.470703125}, {"start": 1945.67, "end": 1946.05, "word": " بالساوية", "probability": 0.76640625}, {"start": 1946.05, "end": 1946.51, "word": " واحدة", "probability": 0.8701171875}, {"start": 1946.51, "end": 1947.21, "word": " بدى", "probability": 0.46881103515625}, {"start": 1947.21, "end": 1947.73, "word": " أثبتلك", "probability": 0.9154296875}, {"start": 1947.73, "end": 1948.23, "word": " الأن", "probability": 0.7144775390625}, {"start": 1948.23, "end": 1948.61, "word": " E", "probability": 0.90966796875}, {"start": 1948.61, "end": 1948.93, "word": " prime", "probability": 0.5322265625}, {"start": 1948.93, "end": 1949.13, "word": " of", "probability": 0.95654296875}, {"start": 1949.13, "end": 1949.37, "word": " X", "probability": 0.98046875}, {"start": 1949.37, "end": 1949.95, "word": " هتساوي", "probability": 0.83671875}, {"start": 1949.95, "end": 1950.33, "word": " E", "probability": 0.98388671875}, {"start": 1950.33, "end": 1950.75, "word": " of", "probability": 0.95947265625}, {"start": 1950.75, "end": 1951.25, "word": " X", "probability": 0.99609375}, {"start": 1951.25, "end": 1953.01, "word": " عشان", "probability": 0.95947265625}, {"start": 1953.01, "end": 1953.47, "word": " أثبتها", "probability": 0.99150390625}, {"start": 1953.47, "end": 1953.69, "word": " بدنا", "probability": 0.816162109375}, {"start": 1953.69, "end": 1954.19, "word": " نذكركم", "probability": 0.954833984375}, {"start": 1954.19, "end": 1954.31, "word": " في", "probability": 0.5810546875}, {"start": 1954.31, "end": 1954.75, "word": " نظرية", "probability": 0.9840087890625}, {"start": 1954.75, "end": 1955.21, "word": " أخدناها", "probability": 0.95439453125}, {"start": 1955.21, "end": 1955.53, "word": " المرة", "probability": 0.96728515625}, {"start": 1955.53, "end": 1956.27, "word": " الماضية", "probability": 0.9913736979166666}, {"start": 1956.27, "end": 1957.75, "word": " اللى", "probability": 0.972412109375}, {"start": 1957.75, "end": 1958.15, "word": " هى", "probability": 0.915283203125}, {"start": 1958.15, "end": 1958.89, "word": " بتقول", "probability": 0.957275390625}, {"start": 1958.89, "end": 1959.19, "word": " ما", "probability": 0.97412109375}, {"start": 1959.19, "end": 1960.57, "word": " يليه", "probability": 0.8806966145833334}, {"start": 1960.57, "end": 1965.75, "word": " أذكركم", "probability": 0.8096923828125}, {"start": 1965.75, "end": 1965.89, "word": " يا", "probability": 0.99267578125}, {"start": 1965.89, "end": 1966.43, "word": " جماعة", "probability": 0.9959309895833334}], "temperature": 1.0}, {"id": 88, "seek": 199105, "start": 1967.53, "end": 1991.05, "text": "بالنظرية اللي بستخدمها كانت ان ع��دي لو في عندي fn sequence of functions و هذه fn ال differentiable لأن fn برايم بتروح ل g uniformly ماشي on some interval on some j وكان عندي fn of x not converge", "tokens": [3555, 6027, 1863, 19913, 2288, 10632, 13672, 1829, 4724, 14851, 9778, 40448, 11296, 25961, 2655, 16472, 18871, 16254, 45164, 8978, 18871, 16254, 283, 77, 8310, 295, 6828, 4032, 29538, 283, 77, 2423, 819, 9364, 5296, 33456, 283, 77, 4724, 23557, 32640, 39894, 32887, 5016, 5296, 290, 48806, 3714, 33599, 1829, 322, 512, 15035, 322, 512, 361, 4032, 41361, 18871, 16254, 283, 77, 295, 2031, 406, 41881], "avg_logprob": -0.3183302212117323, "compression_ratio": 1.3968253968253967, "no_speech_prob": 4.708766937255859e-06, "words": [{"start": 1967.53, "end": 1968.57, "word": "بالنظرية", "probability": 0.924560546875}, {"start": 1968.57, "end": 1968.69, "word": " اللي", "probability": 0.868896484375}, {"start": 1968.69, "end": 1969.59, "word": " بستخدمها", "probability": 0.8984375}, {"start": 1969.59, "end": 1970.47, "word": " كانت", "probability": 0.768798828125}, {"start": 1970.47, "end": 1970.59, "word": " ان", "probability": 0.25}, {"start": 1970.59, "end": 1970.93, "word": " عندي", "probability": 0.900634765625}, {"start": 1970.93, "end": 1971.09, "word": " لو", "probability": 0.72998046875}, {"start": 1971.09, "end": 1971.35, "word": " في", "probability": 0.8251953125}, {"start": 1971.35, "end": 1971.79, "word": " عندي", "probability": 0.796630859375}, {"start": 1971.79, "end": 1972.41, "word": " fn", "probability": 0.548828125}, {"start": 1972.41, "end": 1972.93, "word": " sequence", "probability": 0.92529296875}, {"start": 1972.93, "end": 1973.13, "word": " of", "probability": 0.9677734375}, {"start": 1973.13, "end": 1973.79, "word": " functions", "probability": 0.849609375}, {"start": 1973.79, "end": 1974.47, "word": " و", "probability": 0.53662109375}, {"start": 1974.47, "end": 1974.75, "word": " هذه", "probability": 0.343994140625}, {"start": 1974.75, "end": 1975.39, "word": " fn", "probability": 0.864501953125}, {"start": 1975.39, "end": 1976.33, "word": " ال", "probability": 0.9091796875}, {"start": 1976.33, "end": 1976.97, "word": " differentiable", "probability": 0.5650634765625}, {"start": 1976.97, "end": 1977.23, "word": " لأن", "probability": 0.738037109375}, {"start": 1977.23, "end": 1977.61, "word": " fn", "probability": 0.8564453125}, {"start": 1977.61, "end": 1977.95, "word": " برايم", "probability": 0.6009928385416666}, {"start": 1977.95, "end": 1978.61, "word": " بتروح", "probability": 0.953125}, {"start": 1978.61, "end": 1978.89, "word": " ل", "probability": 0.8681640625}, {"start": 1978.89, "end": 1979.21, "word": " g", "probability": 0.244384765625}, {"start": 1979.21, "end": 1980.05, "word": " uniformly", "probability": 0.9560546875}, {"start": 1980.05, "end": 1981.61, "word": " ماشي", "probability": 0.755126953125}, {"start": 1981.61, "end": 1981.95, "word": " on", "probability": 0.7900390625}, {"start": 1981.95, "end": 1982.17, "word": " some", "probability": 0.92041015625}, {"start": 1982.17, "end": 1982.57, "word": " interval", "probability": 0.1466064453125}, {"start": 1982.57, "end": 1982.81, "word": " on", "probability": 0.50830078125}, {"start": 1982.81, "end": 1983.11, "word": " some", "probability": 0.91748046875}, {"start": 1983.11, "end": 1983.63, "word": " j", "probability": 0.5234375}, {"start": 1983.63, "end": 1985.35, "word": " وكان", "probability": 0.6142578125}, {"start": 1985.35, "end": 1985.93, "word": " عندي", "probability": 0.89306640625}, {"start": 1985.93, "end": 1987.25, "word": " fn", "probability": 0.946533203125}, {"start": 1987.25, "end": 1987.77, "word": " of", "probability": 0.94677734375}, {"start": 1987.77, "end": 1988.33, "word": " x", "probability": 0.8505859375}, {"start": 1988.33, "end": 1989.57, "word": " not", "probability": 0.66943359375}, {"start": 1989.57, "end": 1991.05, "word": " converge", "probability": 0.67138671875}], "temperature": 1.0}, {"id": 89, "seek": 201202, "start": 1992.94, "end": 2012.02, "text": "converts to f of x not مثلا on j اه for x not element in j then بقول لي اللي هو ال f هذه f prime exists", "tokens": [1671, 36999, 281, 283, 295, 2031, 406, 50113, 15040, 322, 361, 1975, 3224, 337, 2031, 406, 4478, 294, 361, 550, 4724, 39648, 32239, 13672, 1829, 31439, 2423, 283, 29538, 283, 5835, 8198], "avg_logprob": -0.4005681818181818, "compression_ratio": 1.1886792452830188, "no_speech_prob": 1.1324882507324219e-06, "words": [{"start": 1992.94, "end": 1993.68, "word": "converts", "probability": 0.27703857421875}, {"start": 1993.68, "end": 1994.0, "word": " to", "probability": 0.9365234375}, {"start": 1994.0, "end": 1994.36, "word": " f", "probability": 0.497802734375}, {"start": 1994.36, "end": 1994.56, "word": " of", "probability": 0.7216796875}, {"start": 1994.56, "end": 1994.78, "word": " x", "probability": 0.7451171875}, {"start": 1994.78, "end": 1995.04, "word": " not", "probability": 0.1822509765625}, {"start": 1995.04, "end": 1995.58, "word": " مثلا", "probability": 0.9013671875}, {"start": 1995.58, "end": 1996.72, "word": " on", "probability": 0.76318359375}, {"start": 1996.72, "end": 1997.44, "word": " j", "probability": 0.70068359375}, {"start": 1997.44, "end": 1998.9, "word": " اه", "probability": 0.617919921875}, {"start": 1998.9, "end": 1999.32, "word": " for", "probability": 0.92236328125}, {"start": 1999.32, "end": 2000.74, "word": " x", "probability": 0.931640625}, {"start": 2000.74, "end": 2001.24, "word": " not", "probability": 0.87646484375}, {"start": 2001.24, "end": 2002.62, "word": " element", "probability": 0.94970703125}, {"start": 2002.62, "end": 2003.04, "word": " in", "probability": 0.9482421875}, {"start": 2003.04, "end": 2003.44, "word": " j", "probability": 0.8720703125}, {"start": 2003.44, "end": 2004.5, "word": " then", "probability": 0.7578125}, {"start": 2004.5, "end": 2005.6, "word": " بقول", "probability": 0.931884765625}, {"start": 2005.6, "end": 2005.84, "word": " لي", "probability": 0.40771484375}, {"start": 2005.84, "end": 2006.7, "word": " اللي", "probability": 0.957763671875}, {"start": 2006.7, "end": 2007.12, "word": " هو", "probability": 0.97802734375}, {"start": 2007.12, "end": 2008.22, "word": " ال", "probability": 0.8701171875}, {"start": 2008.22, "end": 2009.2, "word": " f", "probability": 0.32568359375}, {"start": 2009.2, "end": 2009.92, "word": " هذه", "probability": 0.59765625}, {"start": 2009.92, "end": 2010.8, "word": " f", "probability": 0.48095703125}, {"start": 2010.8, "end": 2011.3, "word": " prime", "probability": 0.6513671875}, {"start": 2011.3, "end": 2012.02, "word": " exists", "probability": 0.4345703125}], "temperature": 1.0}, {"id": 90, "seek": 204235, "start": 2013.73, "end": 2042.35, "text": "و FN converts uniformly to this F او FN converts uniformly to this F and F' هي مين هي الـ G هذا حكيناه المرة الماضية طيب، بدأ استخدمها الآن شوف عنده، ان شوف عنده الـ N أثبتنا او الـ N interval لاقصية و ايه؟ we have the uniform convergence of the sequence EN اللي هو هتكون EN", "tokens": [2407, 479, 45, 38874, 48806, 281, 341, 479, 1975, 2407, 479, 45, 38874, 48806, 281, 341, 479, 293, 479, 6, 39896, 3714, 9957, 39896, 2423, 39184, 460, 23758, 11331, 4117, 1829, 8315, 3224, 9673, 25720, 9673, 46958, 10632, 23032, 1829, 3555, 12399, 47525, 10721, 44713, 9778, 40448, 11296, 6024, 48506, 13412, 38688, 43242, 3224, 12399, 16472, 13412, 38688, 43242, 3224, 2423, 39184, 426, 5551, 12984, 3555, 2655, 8315, 1975, 2407, 2423, 39184, 426, 15035, 5296, 995, 4587, 9381, 10632, 4032, 1975, 1829, 3224, 22807, 321, 362, 264, 9452, 32181, 295, 264, 8310, 15244, 13672, 1829, 31439, 8032, 2655, 30544, 15244], "avg_logprob": -0.3412747442132176, "compression_ratio": 1.5899581589958158, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 2013.73, "end": 2014.01, "word": "و", "probability": 0.39892578125}, {"start": 2014.01, "end": 2014.81, "word": " FN", "probability": 0.292236328125}, {"start": 2014.81, "end": 2015.57, "word": " converts", "probability": 0.18212890625}, {"start": 2015.57, "end": 2016.61, "word": " uniformly", "probability": 0.9501953125}, {"start": 2016.61, "end": 2016.87, "word": " to", "probability": 0.93115234375}, {"start": 2016.87, "end": 2017.13, "word": " this", "probability": 0.80810546875}, {"start": 2017.13, "end": 2017.61, "word": " F", "probability": 0.96826171875}, {"start": 2017.61, "end": 2018.83, "word": " او", "probability": 0.5592041015625}, {"start": 2018.83, "end": 2019.23, "word": " FN", "probability": 0.818359375}, {"start": 2019.23, "end": 2019.61, "word": " converts", "probability": 0.83984375}, {"start": 2019.61, "end": 2020.63, "word": " uniformly", "probability": 0.97998046875}, {"start": 2020.63, "end": 2020.93, "word": " to", "probability": 0.94970703125}, {"start": 2020.93, "end": 2021.15, "word": " this", "probability": 0.93505859375}, {"start": 2021.15, "end": 2021.83, "word": " F", "probability": 0.99267578125}, {"start": 2021.83, "end": 2022.67, "word": " and", "probability": 0.75732421875}, {"start": 2022.67, "end": 2023.75, "word": " F'", "probability": 0.876953125}, {"start": 2024.43, "end": 2024.95, "word": " هي", "probability": 0.890625}, {"start": 2024.95, "end": 2025.53, "word": " مين", "probability": 0.87890625}, {"start": 2025.53, "end": 2026.31, "word": " هي", "probability": 0.7900390625}, {"start": 2026.31, "end": 2026.95, "word": " الـ", "probability": 0.6488037109375}, {"start": 2026.95, "end": 2027.13, "word": " G", "probability": 0.476806640625}, {"start": 2027.13, "end": 2027.43, "word": " هذا", "probability": 0.447021484375}, {"start": 2027.43, "end": 2027.89, "word": " حكيناه", "probability": 0.84970703125}, {"start": 2027.89, "end": 2028.17, "word": " المرة", "probability": 0.8701171875}, {"start": 2028.17, "end": 2028.73, "word": " الماضية", "probability": 0.9736328125}, {"start": 2028.73, "end": 2029.37, "word": " طيب،", "probability": 0.80194091796875}, {"start": 2029.37, "end": 2029.57, "word": " بدأ", "probability": 0.528076171875}, {"start": 2029.57, "end": 2030.05, "word": " استخدمها", "probability": 0.898681640625}, {"start": 2030.05, "end": 2030.37, "word": " الآن", "probability": 0.6724853515625}, {"start": 2030.37, "end": 2031.11, "word": " شوف", "probability": 0.75048828125}, {"start": 2031.11, "end": 2031.71, "word": " عنده،", "probability": 0.455810546875}, {"start": 2031.71, "end": 2031.85, "word": " ان", "probability": 0.564453125}, {"start": 2031.85, "end": 2032.11, "word": " شوف", "probability": 0.819580078125}, {"start": 2032.11, "end": 2032.77, "word": " عنده", "probability": 0.805908203125}, {"start": 2032.77, "end": 2033.37, "word": " الـ", "probability": 0.69140625}, {"start": 2033.37, "end": 2033.47, "word": " N", "probability": 0.861328125}, {"start": 2033.47, "end": 2034.07, "word": " أثبتنا", "probability": 0.97392578125}, {"start": 2034.07, "end": 2034.25, "word": " او", "probability": 0.57550048828125}, {"start": 2034.25, "end": 2034.37, "word": " الـ", "probability": 0.94091796875}, {"start": 2034.37, "end": 2034.51, "word": " N", "probability": 0.955078125}, {"start": 2034.51, "end": 2035.07, "word": " interval", "probability": 0.47705078125}, {"start": 2035.07, "end": 2035.71, "word": " لاقصية", "probability": 0.601806640625}, {"start": 2035.71, "end": 2035.85, "word": " و", "probability": 0.66162109375}, {"start": 2035.85, "end": 2036.09, "word": " ايه؟", "probability": 0.76422119140625}, {"start": 2036.09, "end": 2036.17, "word": " we", "probability": 0.2208251953125}, {"start": 2036.17, "end": 2036.53, "word": " have", "probability": 0.96630859375}, {"start": 2036.53, "end": 2036.77, "word": " the", "probability": 0.611328125}, {"start": 2036.77, "end": 2037.11, "word": " uniform", "probability": 0.90283203125}, {"start": 2037.11, "end": 2037.89, "word": " convergence", "probability": 0.9501953125}, {"start": 2037.89, "end": 2038.39, "word": " of", "probability": 0.974609375}, {"start": 2038.39, "end": 2038.53, "word": " the", "probability": 0.8564453125}, {"start": 2038.53, "end": 2039.05, "word": " sequence", "probability": 0.98388671875}, {"start": 2039.05, "end": 2039.69, "word": " EN", "probability": 0.7021484375}, {"start": 2039.69, "end": 2040.55, "word": " اللي", "probability": 0.953369140625}, {"start": 2040.55, "end": 2040.95, "word": " هو", "probability": 0.9736328125}, {"start": 2040.95, "end": 2041.81, "word": " هتكون", "probability": 0.8352864583333334}, {"start": 2041.81, "end": 2042.35, "word": " EN", "probability": 0.8828125}], "temperature": 1.0}, {"id": 91, "seek": 206154, "start": 2044.72, "end": 2061.54, "text": "converge uniformly ماشي الحالة of you of me of تلاتة اللي هو تلاتة اللي حكيناها قبل بشوية خليني بس نذكركم فيها اللي هي تلاتة هي عندي اللي هي تلاتة", "tokens": [1671, 331, 432, 48806, 3714, 33599, 1829, 21542, 6027, 3660, 295, 291, 295, 385, 295, 6055, 1211, 9307, 3660, 13672, 1829, 31439, 6055, 1211, 9307, 3660, 13672, 1829, 11331, 4117, 1829, 8315, 11296, 12174, 36150, 4724, 8592, 2407, 10632, 16490, 1211, 9957, 1829, 4724, 3794, 8717, 8848, 37983, 24793, 8978, 11296, 13672, 1829, 39896, 6055, 1211, 9307, 3660, 39896, 18871, 16254, 13672, 1829, 39896, 6055, 1211, 9307, 3660], "avg_logprob": -0.26585144582002057, "compression_ratio": 1.6388888888888888, "no_speech_prob": 1.0311603546142578e-05, "words": [{"start": 2044.72, "end": 2045.68, "word": "converge", "probability": 0.5499674479166666}, {"start": 2045.68, "end": 2046.64, "word": " uniformly", "probability": 0.9609375}, {"start": 2046.64, "end": 2047.38, "word": " ماشي", "probability": 0.7450358072916666}, {"start": 2047.38, "end": 2048.5, "word": " الحالة", "probability": 0.703369140625}, {"start": 2048.5, "end": 2049.1, "word": " of", "probability": 0.1153564453125}, {"start": 2049.1, "end": 2051.44, "word": " you", "probability": 0.74072265625}, {"start": 2051.44, "end": 2051.82, "word": " of", "probability": 0.84326171875}, {"start": 2051.82, "end": 2052.04, "word": " me", "probability": 0.74560546875}, {"start": 2052.04, "end": 2052.4, "word": " of", "probability": 0.8720703125}, {"start": 2052.4, "end": 2053.1, "word": " تلاتة", "probability": 0.8868408203125}, {"start": 2053.1, "end": 2053.76, "word": " اللي", "probability": 0.697265625}, {"start": 2053.76, "end": 2053.92, "word": " هو", "probability": 0.2215576171875}, {"start": 2053.92, "end": 2054.32, "word": " تلاتة", "probability": 0.876220703125}, {"start": 2054.32, "end": 2054.4, "word": " اللي", "probability": 0.94677734375}, {"start": 2054.4, "end": 2054.8, "word": " حكيناها", "probability": 0.95048828125}, {"start": 2054.8, "end": 2055.02, "word": " قبل", "probability": 0.93115234375}, {"start": 2055.02, "end": 2055.5, "word": " بشوية", "probability": 0.81756591796875}, {"start": 2055.5, "end": 2055.9, "word": " خليني", "probability": 0.768798828125}, {"start": 2055.9, "end": 2056.1, "word": " بس", "probability": 0.762451171875}, {"start": 2056.1, "end": 2056.66, "word": " نذكركم", "probability": 0.71649169921875}, {"start": 2056.66, "end": 2057.14, "word": " فيها", "probability": 0.973876953125}, {"start": 2057.14, "end": 2057.82, "word": " اللي", "probability": 0.883544921875}, {"start": 2057.82, "end": 2058.16, "word": " هي", "probability": 0.90966796875}, {"start": 2058.16, "end": 2058.98, "word": " تلاتة", "probability": 0.982421875}, {"start": 2058.98, "end": 2059.1, "word": " هي", "probability": 0.3896484375}, {"start": 2059.1, "end": 2059.64, "word": " عندي", "probability": 0.75927734375}, {"start": 2059.64, "end": 2060.36, "word": " اللي", "probability": 0.9072265625}, {"start": 2060.36, "end": 2060.72, "word": " هي", "probability": 0.908203125}, {"start": 2060.72, "end": 2061.54, "word": " تلاتة", "probability": 0.98828125}], "temperature": 1.0}, {"id": 92, "seek": 209066, "start": 2061.84, "end": 2090.66, "text": "عندي الان conversion formally to some function E سمناها الان بناء عليه بدلا من الان زائد واحد هي سافسة الان إذا صارت الان زائد واحد prime برضه conversion هادي هادي أصلا conversion formally to مين؟ to ال E اللي عندي الان وضحت الصورة الان صارت الصورة واضحة الان اللي حصلنا انه", "tokens": [3615, 1863, 16254, 2423, 7649, 14298, 25983, 281, 512, 2445, 462, 8608, 2304, 8315, 11296, 2423, 7649, 44945, 16606, 47356, 47525, 15040, 9154, 2423, 7649, 30767, 16373, 3215, 36764, 24401, 39896, 8608, 31845, 3794, 3660, 2423, 7649, 11933, 15730, 20328, 9640, 2655, 2423, 7649, 30767, 16373, 3215, 36764, 24401, 5835, 4724, 43042, 3224, 14298, 8032, 995, 16254, 8032, 995, 16254, 5551, 9381, 15040, 14298, 25983, 281, 3714, 9957, 22807, 281, 2423, 462, 13672, 1829, 18871, 16254, 2423, 7649, 4032, 11242, 33753, 31767, 13063, 3660, 2423, 7649, 20328, 9640, 2655, 31767, 13063, 3660, 4032, 46958, 5016, 3660, 2423, 7649, 13672, 1829, 11331, 36520, 8315, 16472, 3224], "avg_logprob": -0.3130896150503518, "compression_ratio": 2.004694835680751, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 2061.84, "end": 2062.68, "word": "عندي", "probability": 0.6590169270833334}, {"start": 2062.68, "end": 2063.38, "word": " الان", "probability": 0.8271484375}, {"start": 2063.38, "end": 2064.12, "word": " conversion", "probability": 0.25048828125}, {"start": 2064.12, "end": 2064.68, "word": " formally", "probability": 0.64453125}, {"start": 2064.68, "end": 2065.16, "word": " to", "probability": 0.693359375}, {"start": 2065.16, "end": 2065.34, "word": " some", "probability": 0.83447265625}, {"start": 2065.34, "end": 2065.74, "word": " function", "probability": 0.94677734375}, {"start": 2065.74, "end": 2065.98, "word": " E", "probability": 0.383544921875}, {"start": 2065.98, "end": 2066.7, "word": " سمناها", "probability": 0.790283203125}, {"start": 2066.7, "end": 2067.46, "word": " الان", "probability": 0.6650390625}, {"start": 2067.46, "end": 2067.96, "word": " بناء", "probability": 0.88037109375}, {"start": 2067.96, "end": 2068.54, "word": " عليه", "probability": 0.921875}, {"start": 2068.54, "end": 2069.16, "word": " بدلا", "probability": 0.29827880859375}, {"start": 2069.16, "end": 2069.22, "word": " من", "probability": 0.50146484375}, {"start": 2069.22, "end": 2069.36, "word": " الان", "probability": 0.3153076171875}, {"start": 2069.36, "end": 2069.68, "word": " زائد", "probability": 0.7799479166666666}, {"start": 2069.68, "end": 2069.96, "word": " واحد", "probability": 0.979248046875}, {"start": 2069.96, "end": 2070.14, "word": " هي", "probability": 0.7685546875}, {"start": 2070.14, "end": 2070.56, "word": " سافسة", "probability": 0.67254638671875}, {"start": 2070.56, "end": 2070.9, "word": " الان", "probability": 0.6324462890625}, {"start": 2070.9, "end": 2071.42, "word": " إذا", "probability": 0.799560546875}, {"start": 2071.42, "end": 2071.86, "word": " صارت", "probability": 0.85791015625}, {"start": 2071.86, "end": 2072.24, "word": " الان", "probability": 0.7156982421875}, {"start": 2072.24, "end": 2072.8, "word": " زائد", "probability": 0.9462890625}, {"start": 2072.8, "end": 2073.24, "word": " واحد", "probability": 0.985107421875}, {"start": 2073.24, "end": 2073.96, "word": " prime", "probability": 0.2587890625}, {"start": 2073.96, "end": 2074.82, "word": " برضه", "probability": 0.8953450520833334}, {"start": 2074.82, "end": 2075.36, "word": " conversion", "probability": 0.703125}, {"start": 2075.36, "end": 2075.72, "word": " هادي", "probability": 0.5758463541666666}, {"start": 2075.72, "end": 2076.18, "word": " هادي", "probability": 0.7626953125}, {"start": 2076.18, "end": 2076.56, "word": " أصلا", "probability": 0.8561197916666666}, {"start": 2076.56, "end": 2077.36, "word": " conversion", "probability": 0.87841796875}, {"start": 2077.36, "end": 2077.88, "word": " formally", "probability": 0.86328125}, {"start": 2077.88, "end": 2078.14, "word": " to", "probability": 0.93701171875}, {"start": 2078.14, "end": 2078.9, "word": " مين؟", "probability": 0.580810546875}, {"start": 2078.9, "end": 2079.06, "word": " to", "probability": 0.461669921875}, {"start": 2079.06, "end": 2079.24, "word": " ال", "probability": 0.94482421875}, {"start": 2079.24, "end": 2079.52, "word": " E", "probability": 0.73046875}, {"start": 2079.52, "end": 2080.2, "word": " اللي", "probability": 0.92529296875}, {"start": 2080.2, "end": 2080.7, "word": " عندي", "probability": 0.753173828125}, {"start": 2080.7, "end": 2082.7, "word": " الان", "probability": 0.664306640625}, {"start": 2082.7, "end": 2083.92, "word": " وضحت", "probability": 0.7478841145833334}, {"start": 2083.92, "end": 2085.04, "word": " الصورة", "probability": 0.9860026041666666}, {"start": 2085.04, "end": 2085.9, "word": " الان", "probability": 0.78759765625}, {"start": 2085.9, "end": 2086.28, "word": " صارت", "probability": 0.9816080729166666}, {"start": 2086.28, "end": 2086.72, "word": " الصورة", "probability": 0.9860026041666666}, {"start": 2086.72, "end": 2087.2, "word": " واضحة", "probability": 0.983642578125}, {"start": 2087.2, "end": 2087.68, "word": " الان", "probability": 0.729248046875}, {"start": 2087.68, "end": 2088.5, "word": " اللي", "probability": 0.965576171875}, {"start": 2088.5, "end": 2089.3, "word": " حصلنا", "probability": 0.9806315104166666}, {"start": 2089.3, "end": 2090.66, "word": " انه", "probability": 0.692138671875}], "temperature": 1.0}, {"id": 93, "seek": 211125, "start": 2092.11, "end": 2111.25, "text": "انتبه عليا، on any interval ناقص a و a, we have the inferred convergence of E n وفي ضوء اللي هو تلاتة, we also have the inferred convergence E n prime of the derivatives الآن من ال theorem 8.2.3 اللي حكيتها هنا، مدام F n prime converges ل G", "tokens": [7649, 2655, 3555, 3224, 11203, 25528, 12399, 322, 604, 15035, 8717, 995, 4587, 9381, 257, 4032, 257, 11, 321, 362, 264, 13596, 986, 32181, 295, 462, 297, 4032, 41185, 48812, 2407, 38207, 13672, 1829, 31439, 6055, 1211, 9307, 3660, 11, 321, 611, 362, 264, 13596, 986, 32181, 462, 297, 5835, 295, 264, 33733, 6024, 48506, 9154, 2423, 20904, 1649, 13, 17, 13, 18, 13672, 1829, 11331, 4117, 36081, 11296, 34105, 12399, 3714, 3215, 10943, 479, 297, 5835, 9652, 2880, 5296, 460], "avg_logprob": -0.3944359723387695, "compression_ratio": 1.4514563106796117, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2092.11, "end": 2092.59, "word": "انتبه", "probability": 0.72698974609375}, {"start": 2092.59, "end": 2093.07, "word": " عليا،", "probability": 0.4271647135416667}, {"start": 2093.07, "end": 2093.17, "word": " on", "probability": 0.405029296875}, {"start": 2093.17, "end": 2093.41, "word": " any", "probability": 0.92529296875}, {"start": 2093.41, "end": 2093.85, "word": " interval", "probability": 0.9873046875}, {"start": 2093.85, "end": 2094.29, "word": " ناقص", "probability": 0.76922607421875}, {"start": 2094.29, "end": 2094.43, "word": " a", "probability": 0.42431640625}, {"start": 2094.43, "end": 2094.59, "word": " و", "probability": 0.8642578125}, {"start": 2094.59, "end": 2094.83, "word": " a,", "probability": 0.40087890625}, {"start": 2095.21, "end": 2095.33, "word": " we", "probability": 0.79345703125}, {"start": 2095.33, "end": 2095.57, "word": " have", "probability": 0.95654296875}, {"start": 2095.57, "end": 2095.71, "word": " the", "probability": 0.80908203125}, {"start": 2095.71, "end": 2096.01, "word": " inferred", "probability": 0.54339599609375}, {"start": 2096.01, "end": 2096.35, "word": " convergence", "probability": 0.91064453125}, {"start": 2096.35, "end": 2097.01, "word": " of", "probability": 0.9521484375}, {"start": 2097.01, "end": 2097.23, "word": " E", "probability": 0.59619140625}, {"start": 2097.23, "end": 2097.47, "word": " n", "probability": 0.0711669921875}, {"start": 2097.47, "end": 2098.49, "word": " وفي", "probability": 0.78125}, {"start": 2098.49, "end": 2098.91, "word": " ضوء", "probability": 0.8741861979166666}, {"start": 2098.91, "end": 2099.13, "word": " اللي", "probability": 0.7017822265625}, {"start": 2099.13, "end": 2099.49, "word": " هو", "probability": 0.97802734375}, {"start": 2099.49, "end": 2100.31, "word": " تلاتة,", "probability": 0.8868408203125}, {"start": 2100.49, "end": 2100.71, "word": " we", "probability": 0.93408203125}, {"start": 2100.71, "end": 2101.17, "word": " also", "probability": 0.869140625}, {"start": 2101.17, "end": 2101.45, "word": " have", "probability": 0.96435546875}, {"start": 2101.45, "end": 2101.57, "word": " the", "probability": 0.81689453125}, {"start": 2101.57, "end": 2101.93, "word": " inferred", "probability": 0.8994140625}, {"start": 2101.93, "end": 2102.43, "word": " convergence", "probability": 0.9248046875}, {"start": 2102.43, "end": 2102.77, "word": " E", "probability": 0.744140625}, {"start": 2102.77, "end": 2102.93, "word": " n", "probability": 0.80517578125}, {"start": 2102.93, "end": 2103.33, "word": " prime", "probability": 0.38232421875}, {"start": 2103.33, "end": 2104.03, "word": " of", "probability": 0.97509765625}, {"start": 2104.03, "end": 2104.29, "word": " the", "probability": 0.78369140625}, {"start": 2104.29, "end": 2104.83, "word": " derivatives", "probability": 0.91552734375}, {"start": 2104.83, "end": 2105.77, "word": " الآن", "probability": 0.6240234375}, {"start": 2105.77, "end": 2105.97, "word": " من", "probability": 0.8388671875}, {"start": 2105.97, "end": 2106.11, "word": " ال", "probability": 0.9443359375}, {"start": 2106.11, "end": 2106.47, "word": " theorem", "probability": 0.443115234375}, {"start": 2106.47, "end": 2106.81, "word": " 8", "probability": 0.62548828125}, {"start": 2106.81, "end": 2107.21, "word": ".2", "probability": 0.807861328125}, {"start": 2107.21, "end": 2107.63, "word": ".3", "probability": 0.992919921875}, {"start": 2107.63, "end": 2107.81, "word": " اللي", "probability": 0.9697265625}, {"start": 2107.81, "end": 2108.35, "word": " حكيتها", "probability": 0.9827880859375}, {"start": 2108.35, "end": 2109.25, "word": " هنا،", "probability": 0.5721435546875}, {"start": 2109.25, "end": 2109.57, "word": " مدام", "probability": 0.6233723958333334}, {"start": 2109.57, "end": 2109.79, "word": " F", "probability": 0.4228515625}, {"start": 2109.79, "end": 2110.05, "word": " n", "probability": 0.217529296875}, {"start": 2110.05, "end": 2110.41, "word": " prime", "probability": 0.68310546875}, {"start": 2110.41, "end": 2110.93, "word": " converges", "probability": 0.751953125}, {"start": 2110.93, "end": 2111.09, "word": " ل", "probability": 0.36279296875}, {"start": 2111.09, "end": 2111.25, "word": " G", "probability": 0.59765625}], "temperature": 1.0}, {"id": 94, "seek": 213554, "start": 2112.22, "end": 2135.54, "text": "ماشي الحال و ال .. او ال Fn X0 بتروح ل F of X0 for X0 اللي بتنجح اللي هو اكتر من النقطة و اصلا على اساس عرفنا ان Fn of X بالساوي اللي هو مين E of X بتروح لمين لل E of X اذا اكيد هذه متحققة كمان بالنسبة لمين لل E N صارت هذه متحققة و هذه متحققة من التحقق هذه", "tokens": [2304, 33599, 1829, 21542, 6027, 4032, 2423, 4386, 1975, 2407, 2423, 479, 77, 1783, 15, 39894, 32887, 5016, 5296, 479, 295, 1783, 15, 337, 1783, 15, 13672, 1829, 39894, 1863, 7435, 5016, 13672, 1829, 31439, 1975, 4117, 2655, 2288, 9154, 28239, 47432, 3660, 4032, 1975, 9381, 15040, 15844, 24525, 32277, 6225, 28480, 8315, 16472, 479, 77, 295, 1783, 20666, 3794, 995, 45865, 13672, 1829, 31439, 3714, 9957, 462, 295, 1783, 39894, 32887, 5016, 32767, 9957, 24976, 462, 295, 1783, 1975, 15730, 1975, 4117, 25708, 29538, 44650, 5016, 4587, 28671, 9122, 2304, 7649, 20666, 1863, 35457, 3660, 32767, 9957, 24976, 462, 426, 20328, 9640, 2655, 29538, 44650, 5016, 4587, 28671, 4032, 29538, 44650, 5016, 4587, 28671, 9154, 16712, 5016, 4587, 4587, 29538], "avg_logprob": -0.25435451015097194, "compression_ratio": 2.049019607843137, "no_speech_prob": 2.086162567138672e-06, "words": [{"start": 2112.22, "end": 2112.58, "word": "ماشي", "probability": 0.83642578125}, {"start": 2112.58, "end": 2112.94, "word": " الحال", "probability": 0.968994140625}, {"start": 2112.94, "end": 2113.44, "word": " و", "probability": 0.40771484375}, {"start": 2113.44, "end": 2113.7, "word": " ال", "probability": 0.8291015625}, {"start": 2113.7, "end": 2113.76, "word": " ..", "probability": 0.3310546875}, {"start": 2113.76, "end": 2113.96, "word": " او", "probability": 0.7880859375}, {"start": 2113.96, "end": 2114.12, "word": " ال", "probability": 0.88818359375}, {"start": 2114.12, "end": 2114.58, "word": " Fn", "probability": 0.339111328125}, {"start": 2114.58, "end": 2115.04, "word": " X0", "probability": 0.212646484375}, {"start": 2115.04, "end": 2115.36, "word": " بتروح", "probability": 0.9410807291666666}, {"start": 2115.36, "end": 2115.44, "word": " ل", "probability": 0.623046875}, {"start": 2115.44, "end": 2115.58, "word": " F", "probability": 0.6240234375}, {"start": 2115.58, "end": 2115.74, "word": " of", "probability": 0.59619140625}, {"start": 2115.74, "end": 2116.1, "word": " X0", "probability": 0.869873046875}, {"start": 2116.1, "end": 2116.26, "word": " for", "probability": 0.697265625}, {"start": 2116.26, "end": 2116.62, "word": " X0", "probability": 0.959716796875}, {"start": 2116.62, "end": 2116.72, "word": " اللي", "probability": 0.6768798828125}, {"start": 2116.72, "end": 2117.16, "word": " بتنجح", "probability": 0.8837890625}, {"start": 2117.16, "end": 2118.2, "word": " اللي", "probability": 0.58563232421875}, {"start": 2118.2, "end": 2118.32, "word": " هو", "probability": 0.85546875}, {"start": 2118.32, "end": 2118.64, "word": " اكتر", "probability": 0.837158203125}, {"start": 2118.64, "end": 2118.74, "word": " من", "probability": 0.99462890625}, {"start": 2118.74, "end": 2119.12, "word": " النقطة", "probability": 0.98095703125}, {"start": 2119.12, "end": 2119.22, "word": " و", "probability": 0.67138671875}, {"start": 2119.22, "end": 2119.48, "word": " اصلا", "probability": 0.8115234375}, {"start": 2119.48, "end": 2119.64, "word": " على", "probability": 0.85595703125}, {"start": 2119.64, "end": 2119.94, "word": " اساس", "probability": 0.889892578125}, {"start": 2119.94, "end": 2120.5, "word": " عرفنا", "probability": 0.9104817708333334}, {"start": 2120.5, "end": 2121.08, "word": " ان", "probability": 0.84228515625}, {"start": 2121.08, "end": 2121.88, "word": " Fn", "probability": 0.8408203125}, {"start": 2121.88, "end": 2122.18, "word": " of", "probability": 0.7275390625}, {"start": 2122.18, "end": 2122.48, "word": " X", "probability": 0.994140625}, {"start": 2122.48, "end": 2123.14, "word": " بالساوي", "probability": 0.631378173828125}, {"start": 2123.14, "end": 2123.48, "word": " اللي", "probability": 0.96142578125}, {"start": 2123.48, "end": 2123.68, "word": " هو", "probability": 0.98828125}, {"start": 2123.68, "end": 2124.08, "word": " مين", "probability": 0.978271484375}, {"start": 2124.08, "end": 2124.74, "word": " E", "probability": 0.59716796875}, {"start": 2124.74, "end": 2125.12, "word": " of", "probability": 0.294189453125}, {"start": 2125.12, "end": 2125.56, "word": " X", "probability": 0.9326171875}, {"start": 2125.56, "end": 2126.32, "word": " بتروح", "probability": 0.9228515625}, {"start": 2126.32, "end": 2126.64, "word": " لمين", "probability": 0.82421875}, {"start": 2126.64, "end": 2126.9, "word": " لل", "probability": 0.320556640625}, {"start": 2126.9, "end": 2127.22, "word": " E", "probability": 0.916015625}, {"start": 2127.22, "end": 2127.42, "word": " of", "probability": 0.9326171875}, {"start": 2127.42, "end": 2127.8, "word": " X", "probability": 0.9990234375}, {"start": 2127.8, "end": 2128.48, "word": " اذا", "probability": 0.7220458984375}, {"start": 2128.48, "end": 2128.82, "word": " اكيد", "probability": 0.94189453125}, {"start": 2128.82, "end": 2128.98, "word": " هذه", "probability": 0.67822265625}, {"start": 2128.98, "end": 2129.54, "word": " متحققة", "probability": 0.8651123046875}, {"start": 2129.54, "end": 2129.86, "word": " كمان", "probability": 0.8294270833333334}, {"start": 2129.86, "end": 2130.32, "word": " بالنسبة", "probability": 0.993896484375}, {"start": 2130.32, "end": 2130.74, "word": " لمين", "probability": 0.83984375}, {"start": 2130.74, "end": 2131.3, "word": " لل", "probability": 0.90380859375}, {"start": 2131.3, "end": 2131.52, "word": " E", "probability": 0.91455078125}, {"start": 2131.52, "end": 2131.78, "word": " N", "probability": 0.076171875}, {"start": 2131.78, "end": 2132.58, "word": " صارت", "probability": 0.9195963541666666}, {"start": 2132.58, "end": 2132.78, "word": " هذه", "probability": 0.8828125}, {"start": 2132.78, "end": 2133.28, "word": " متحققة", "probability": 0.9451904296875}, {"start": 2133.28, "end": 2133.38, "word": " و", "probability": 0.59814453125}, {"start": 2133.38, "end": 2133.54, "word": " هذه", "probability": 0.69873046875}, {"start": 2133.54, "end": 2134.14, "word": " متحققة", "probability": 0.9788818359375}, {"start": 2134.14, "end": 2134.32, "word": " من", "probability": 0.970703125}, {"start": 2134.32, "end": 2135.04, "word": " التحقق", "probability": 0.88134765625}, {"start": 2135.04, "end": 2135.54, "word": " هذه", "probability": 0.93359375}], "temperature": 1.0}, {"id": 95, "seek": 216326, "start": 2136.32, "end": 2163.26, "text": "هذه يا عزيزي التحقق هذه إذا إذا هيكون عنده ال F N بتروح لل F اللي هي ال E N بتروح لل E صنادر أثبتناها بس إيش المهم أنه ال F prime لهذه اللي بتروحلها هذه اللي هي ال E prime هي مين اللي هي اللي بتروحلها ال E N ال F ال F N prime عند ال E N زائد واحد prime بتروح لل E", "tokens": [3224, 24192, 35186, 6225, 11622, 1829, 11622, 1829, 16712, 5016, 4587, 4587, 29538, 11933, 15730, 11933, 15730, 39896, 30544, 43242, 3224, 2423, 479, 426, 39894, 32887, 5016, 24976, 479, 13672, 1829, 39896, 2423, 462, 426, 39894, 32887, 5016, 24976, 462, 20328, 8315, 3215, 2288, 5551, 12984, 3555, 2655, 8315, 11296, 4724, 3794, 11933, 1829, 8592, 9673, 16095, 14739, 3224, 2423, 479, 5835, 46740, 24192, 13672, 1829, 39894, 32887, 5016, 1211, 11296, 29538, 13672, 1829, 39896, 2423, 462, 5835, 39896, 3714, 9957, 13672, 1829, 39896, 13672, 1829, 39894, 32887, 5016, 1211, 11296, 2423, 462, 426, 2423, 479, 2423, 479, 426, 5835, 43242, 2423, 462, 426, 30767, 16373, 3215, 36764, 24401, 5835, 39894, 32887, 5016, 24976, 462], "avg_logprob": -0.2501346851731169, "compression_ratio": 2.1683673469387754, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 2136.32, "end": 2136.68, "word": "هذه", "probability": 0.712646484375}, {"start": 2136.68, "end": 2136.76, "word": " يا", "probability": 0.17578125}, {"start": 2136.76, "end": 2136.96, "word": " عزيزي", "probability": 0.87763671875}, {"start": 2136.96, "end": 2137.46, "word": " التحقق", "probability": 0.79107666015625}, {"start": 2137.46, "end": 2137.84, "word": " هذه", "probability": 0.80908203125}, {"start": 2137.84, "end": 2138.64, "word": " إذا", "probability": 0.690673828125}, {"start": 2138.64, "end": 2139.56, "word": " إذا", "probability": 0.685791015625}, {"start": 2139.56, "end": 2140.04, "word": " هيكون", "probability": 0.758056640625}, {"start": 2140.04, "end": 2140.56, "word": " عنده", "probability": 0.5877685546875}, {"start": 2140.56, "end": 2141.14, "word": " ال", "probability": 0.8095703125}, {"start": 2141.14, "end": 2141.54, "word": " F", "probability": 0.37451171875}, {"start": 2141.54, "end": 2141.78, "word": " N", "probability": 0.262451171875}, {"start": 2141.78, "end": 2142.14, "word": " بتروح", "probability": 0.9285481770833334}, {"start": 2142.14, "end": 2142.3, "word": " لل", "probability": 0.82275390625}, {"start": 2142.3, "end": 2142.48, "word": " F", "probability": 0.853515625}, {"start": 2142.48, "end": 2142.64, "word": " اللي", "probability": 0.703857421875}, {"start": 2142.64, "end": 2142.82, "word": " هي", "probability": 0.798828125}, {"start": 2142.82, "end": 2143.0, "word": " ال", "probability": 0.91015625}, {"start": 2143.0, "end": 2143.1, "word": " E", "probability": 0.96337890625}, {"start": 2143.1, "end": 2143.22, "word": " N", "probability": 0.9208984375}, {"start": 2143.22, "end": 2143.6, "word": " بتروح", "probability": 0.96484375}, {"start": 2143.6, "end": 2143.78, "word": " لل", "probability": 0.822265625}, {"start": 2143.78, "end": 2144.08, "word": " E", "probability": 0.97900390625}, {"start": 2144.08, "end": 2144.82, "word": " صنادر", "probability": 0.51849365234375}, {"start": 2144.82, "end": 2145.48, "word": " أثبتناها", "probability": 0.968505859375}, {"start": 2145.48, "end": 2146.02, "word": " بس", "probability": 0.9345703125}, {"start": 2146.02, "end": 2146.26, "word": " إيش", "probability": 0.8636067708333334}, {"start": 2146.26, "end": 2146.8, "word": " المهم", "probability": 0.993408203125}, {"start": 2146.8, "end": 2148.12, "word": " أنه", "probability": 0.436767578125}, {"start": 2148.12, "end": 2148.44, "word": " ال", "probability": 0.87744140625}, {"start": 2148.44, "end": 2149.1, "word": " F", "probability": 0.9462890625}, {"start": 2149.1, "end": 2149.6, "word": " prime", "probability": 0.2568359375}, {"start": 2149.6, "end": 2150.36, "word": " لهذه", "probability": 0.8251953125}, {"start": 2150.36, "end": 2150.72, "word": " اللي", "probability": 0.98583984375}, {"start": 2150.72, "end": 2151.26, "word": " بتروحلها", "probability": 0.85107421875}, {"start": 2151.26, "end": 2151.72, "word": " هذه", "probability": 0.72412109375}, {"start": 2151.72, "end": 2152.5, "word": " اللي", "probability": 0.956787109375}, {"start": 2152.5, "end": 2152.66, "word": " هي", "probability": 0.9384765625}, {"start": 2152.66, "end": 2152.82, "word": " ال", "probability": 0.9326171875}, {"start": 2152.82, "end": 2152.94, "word": " E", "probability": 0.98779296875}, {"start": 2152.94, "end": 2153.38, "word": " prime", "probability": 0.72900390625}, {"start": 2153.38, "end": 2153.74, "word": " هي", "probability": 0.93603515625}, {"start": 2153.74, "end": 2154.38, "word": " مين", "probability": 0.803466796875}, {"start": 2154.38, "end": 2155.92, "word": " اللي", "probability": 0.97998046875}, {"start": 2155.92, "end": 2156.04, "word": " هي", "probability": 0.5029296875}, {"start": 2156.04, "end": 2156.34, "word": " اللي", "probability": 0.994384765625}, {"start": 2156.34, "end": 2156.92, "word": " بتروحلها", "probability": 0.973828125}, {"start": 2156.92, "end": 2157.08, "word": " ال", "probability": 0.90625}, {"start": 2157.08, "end": 2157.18, "word": " E", "probability": 0.88623046875}, {"start": 2157.18, "end": 2157.44, "word": " N", "probability": 0.64306640625}, {"start": 2157.44, "end": 2157.72, "word": " ال", "probability": 0.828125}, {"start": 2157.72, "end": 2158.2, "word": " F", "probability": 0.85595703125}, {"start": 2158.2, "end": 2158.36, "word": " ال", "probability": 0.362548828125}, {"start": 2158.36, "end": 2159.02, "word": " F", "probability": 0.7021484375}, {"start": 2159.02, "end": 2159.26, "word": " N", "probability": 0.8623046875}, {"start": 2159.26, "end": 2159.74, "word": " prime", "probability": 0.8095703125}, {"start": 2159.74, "end": 2160.64, "word": " عند", "probability": 0.693359375}, {"start": 2160.64, "end": 2160.98, "word": " ال", "probability": 0.443603515625}, {"start": 2160.98, "end": 2161.22, "word": " E", "probability": 0.92822265625}, {"start": 2161.22, "end": 2161.42, "word": " N", "probability": 0.9658203125}, {"start": 2161.42, "end": 2161.78, "word": " زائد", "probability": 0.8606770833333334}, {"start": 2161.78, "end": 2162.08, "word": " واحد", "probability": 0.925048828125}, {"start": 2162.08, "end": 2162.34, "word": " prime", "probability": 0.6083984375}, {"start": 2162.34, "end": 2162.76, "word": " بتروح", "probability": 0.9630533854166666}, {"start": 2162.76, "end": 2162.98, "word": " لل", "probability": 0.865234375}, {"start": 2162.98, "end": 2163.26, "word": " E", "probability": 0.97900390625}], "temperature": 1.0}, {"id": 96, "seek": 217578, "start": 2166.46, "end": 2175.78, "text": "إذا من نظرية إيان ستذهب إلى الـ E برضه وليس كذلك الـ E' لهذه", "tokens": [28814, 15730, 9154, 8717, 19913, 2288, 10632, 11933, 1829, 7649, 8608, 2655, 24192, 3555, 30731, 2423, 39184, 462, 4724, 43042, 3224, 4032, 20292, 3794, 9122, 8848, 23275, 2423, 39184, 462, 6, 46740, 24192], "avg_logprob": -0.5473345430458293, "compression_ratio": 1.1954022988505748, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 2166.46, "end": 2167.26, "word": "إذا", "probability": 0.4678955078125}, {"start": 2167.26, "end": 2167.52, "word": " من", "probability": 0.380859375}, {"start": 2167.52, "end": 2167.92, "word": " نظرية", "probability": 0.883056640625}, {"start": 2167.92, "end": 2169.3, "word": " إيان", "probability": 0.4677327473958333}, {"start": 2169.3, "end": 2169.66, "word": " ستذهب", "probability": 0.63092041015625}, {"start": 2169.66, "end": 2169.82, "word": " إلى", "probability": 0.7373046875}, {"start": 2169.82, "end": 2169.94, "word": " الـ", "probability": 0.63037109375}, {"start": 2169.94, "end": 2170.06, "word": " E", "probability": 0.477783203125}, {"start": 2170.06, "end": 2170.92, "word": " برضه", "probability": 0.705078125}, {"start": 2170.92, "end": 2173.12, "word": " وليس", "probability": 0.6806640625}, {"start": 2173.12, "end": 2173.56, "word": " كذلك", "probability": 0.6947428385416666}, {"start": 2173.56, "end": 2174.32, "word": " الـ", "probability": 0.5357666015625}, {"start": 2174.32, "end": 2174.6, "word": " E'", "probability": 0.8720703125}, {"start": 2174.84, "end": 2175.78, "word": " لهذه", "probability": 0.86474609375}], "temperature": 1.0}, {"id": 97, "seek": 220107, "start": 2176.35, "end": 2201.07, "text": "هي هذه يعني بمعنى آخر E N زي دول برايم برايم limitها ال E برايم زي ما هي مين ال E يعني مدام الان limitها هي ال E و هي نفسها limitها من النظرية اللي بنستنتجها E برايم إذا صارت ال E هي مين ال E برايم أو بطريقة أخرى limit ال E N برايم حسب النظرية بتساوي ال E برايم", "tokens": [3224, 1829, 29538, 37495, 22653, 4724, 2304, 3615, 1863, 7578, 19753, 34740, 462, 426, 30767, 1829, 11778, 12610, 4724, 23557, 32640, 4724, 23557, 32640, 4948, 11296, 2423, 462, 4724, 23557, 32640, 30767, 1829, 19446, 39896, 3714, 9957, 2423, 462, 37495, 22653, 3714, 3215, 10943, 2423, 7649, 4948, 11296, 39896, 2423, 462, 4032, 39896, 8717, 36178, 11296, 4948, 11296, 9154, 28239, 19913, 2288, 10632, 13672, 1829, 44945, 14851, 29399, 7435, 11296, 462, 4724, 23557, 32640, 11933, 15730, 20328, 9640, 2655, 2423, 462, 39896, 3714, 9957, 2423, 462, 4724, 23557, 32640, 34051, 4724, 9566, 16572, 28671, 5551, 34740, 7578, 4948, 2423, 462, 426, 4724, 23557, 32640, 11331, 35457, 28239, 19913, 2288, 10632, 39894, 3794, 995, 45865, 2423, 462, 4724, 23557, 32640], "avg_logprob": -0.18515625558793544, "compression_ratio": 2.155, "no_speech_prob": 4.947185516357422e-06, "words": [{"start": 2176.35, "end": 2176.91, "word": "هي", "probability": 0.605712890625}, {"start": 2176.91, "end": 2177.43, "word": " هذه", "probability": 0.8369140625}, {"start": 2177.43, "end": 2178.25, "word": " يعني", "probability": 0.770263671875}, {"start": 2178.25, "end": 2178.71, "word": " بمعنى", "probability": 0.98681640625}, {"start": 2178.71, "end": 2179.05, "word": " آخر", "probability": 0.7098388671875}, {"start": 2179.05, "end": 2179.27, "word": " E", "probability": 0.25146484375}, {"start": 2179.27, "end": 2179.43, "word": " N", "probability": 0.280029296875}, {"start": 2179.43, "end": 2179.61, "word": " زي", "probability": 0.803955078125}, {"start": 2179.61, "end": 2179.79, "word": " دول", "probability": 0.2811279296875}, {"start": 2179.79, "end": 2180.25, "word": " برايم", "probability": 0.6953125}, {"start": 2180.25, "end": 2181.23, "word": " برايم", "probability": 0.8898111979166666}, {"start": 2181.23, "end": 2181.99, "word": " limitها", "probability": 0.4923095703125}, {"start": 2181.99, "end": 2182.19, "word": " ال", "probability": 0.419677734375}, {"start": 2182.19, "end": 2182.45, "word": " E", "probability": 0.91748046875}, {"start": 2182.45, "end": 2183.19, "word": " برايم", "probability": 0.9134114583333334}, {"start": 2183.19, "end": 2183.87, "word": " زي", "probability": 0.98486328125}, {"start": 2183.87, "end": 2183.97, "word": " ما", "probability": 0.9560546875}, {"start": 2183.97, "end": 2184.19, "word": " هي", "probability": 0.8720703125}, {"start": 2184.19, "end": 2184.67, "word": " مين", "probability": 0.787109375}, {"start": 2184.67, "end": 2184.99, "word": " ال", "probability": 0.8603515625}, {"start": 2184.99, "end": 2185.19, "word": " E", "probability": 0.9462890625}, {"start": 2185.19, "end": 2185.83, "word": " يعني", "probability": 0.90478515625}, {"start": 2185.83, "end": 2186.27, "word": " مدام", "probability": 0.8401692708333334}, {"start": 2186.27, "end": 2186.61, "word": " الان", "probability": 0.49755859375}, {"start": 2186.61, "end": 2187.41, "word": " limitها", "probability": 0.78515625}, {"start": 2187.41, "end": 2188.09, "word": " هي", "probability": 0.947265625}, {"start": 2188.09, "end": 2188.31, "word": " ال", "probability": 0.92236328125}, {"start": 2188.31, "end": 2188.45, "word": " E", "probability": 0.99560546875}, {"start": 2188.45, "end": 2188.59, "word": " و", "probability": 0.7548828125}, {"start": 2188.59, "end": 2188.89, "word": " هي", "probability": 0.796875}, {"start": 2188.89, "end": 2189.53, "word": " نفسها", "probability": 0.9518229166666666}, {"start": 2189.53, "end": 2189.85, "word": " limitها", "probability": 0.91650390625}, {"start": 2189.85, "end": 2189.95, "word": " من", "probability": 0.94287109375}, {"start": 2189.95, "end": 2190.39, "word": " النظرية", "probability": 0.9398193359375}, {"start": 2190.39, "end": 2190.53, "word": " اللي", "probability": 0.8388671875}, {"start": 2190.53, "end": 2191.19, "word": " بنستنتجها", "probability": 0.83603515625}, {"start": 2191.19, "end": 2191.33, "word": " E", "probability": 0.92578125}, {"start": 2191.33, "end": 2191.71, "word": " برايم", "probability": 0.9451497395833334}, {"start": 2191.71, "end": 2192.17, "word": " إذا", "probability": 0.87646484375}, {"start": 2192.17, "end": 2192.51, "word": " صارت", "probability": 0.7726236979166666}, {"start": 2192.51, "end": 2192.65, "word": " ال", "probability": 0.92919921875}, {"start": 2192.65, "end": 2192.91, "word": " E", "probability": 0.99609375}, {"start": 2192.91, "end": 2193.37, "word": " هي", "probability": 0.96240234375}, {"start": 2193.37, "end": 2193.97, "word": " مين", "probability": 0.988037109375}, {"start": 2193.97, "end": 2194.23, "word": " ال", "probability": 0.962890625}, {"start": 2194.23, "end": 2194.39, "word": " E", "probability": 0.99755859375}, {"start": 2194.39, "end": 2194.77, "word": " برايم", "probability": 0.9881184895833334}, {"start": 2194.77, "end": 2195.31, "word": " أو", "probability": 0.8369140625}, {"start": 2195.31, "end": 2195.95, "word": " بطريقة", "probability": 0.9852294921875}, {"start": 2195.95, "end": 2196.67, "word": " أخرى", "probability": 0.9861653645833334}, {"start": 2196.67, "end": 2197.25, "word": " limit", "probability": 0.91748046875}, {"start": 2197.25, "end": 2197.51, "word": " ال", "probability": 0.85888671875}, {"start": 2197.51, "end": 2197.69, "word": " E", "probability": 0.99560546875}, {"start": 2197.69, "end": 2198.01, "word": " N", "probability": 0.650390625}, {"start": 2198.01, "end": 2198.61, "word": " برايم", "probability": 0.9869791666666666}, {"start": 2198.61, "end": 2199.33, "word": " حسب", "probability": 0.985107421875}, {"start": 2199.33, "end": 2199.99, "word": " النظرية", "probability": 0.98291015625}, {"start": 2199.99, "end": 2200.47, "word": " بتساوي", "probability": 0.8780517578125}, {"start": 2200.47, "end": 2200.61, "word": " ال", "probability": 0.9189453125}, {"start": 2200.61, "end": 2200.75, "word": " E", "probability": 0.9970703125}, {"start": 2200.75, "end": 2201.07, "word": " برايم", "probability": 0.9825846354166666}], "temperature": 1.0}, {"id": 98, "seek": 220700, "start": 2201.66, "end": 2207.0, "text": "ومن جهة أخرى limit en براي هو نفسه limit en نفسها", "tokens": [2407, 27842, 10874, 3224, 3660, 5551, 34740, 7578, 4948, 465, 4724, 23557, 1829, 31439, 8717, 36178, 3224, 4948, 465, 8717, 36178, 11296], "avg_logprob": -0.22418478260869565, "compression_ratio": 1.0422535211267605, "no_speech_prob": 0.0, "words": [{"start": 2201.66, "end": 2202.02, "word": "ومن", "probability": 0.525146484375}, {"start": 2202.02, "end": 2202.36, "word": " جهة", "probability": 0.97021484375}, {"start": 2202.36, "end": 2202.74, "word": " أخرى", "probability": 0.9300130208333334}, {"start": 2202.74, "end": 2202.94, "word": " limit", "probability": 0.6181640625}, {"start": 2202.94, "end": 2203.44, "word": " en", "probability": 0.300537109375}, {"start": 2203.44, "end": 2204.1, "word": " براي", "probability": 0.7421875}, {"start": 2204.1, "end": 2204.82, "word": " هو", "probability": 0.92919921875}, {"start": 2204.82, "end": 2205.2, "word": " نفسه", "probability": 0.9029947916666666}, {"start": 2205.2, "end": 2205.44, "word": " limit", "probability": 0.97265625}, {"start": 2205.44, "end": 2206.06, "word": " en", "probability": 0.72314453125}, {"start": 2206.06, "end": 2207.0, "word": " نفسها", "probability": 0.9630533854166666}], "temperature": 1.0}, {"id": 99, "seek": 223156, "start": 2207.72, "end": 2231.56, "text": "و limit en اللي هي طبعا انا مسميها n و n نقص واحد احنا مسميينها n و n زاد واحد طبيعي en برايم هي limit من limit en نقص واحد لحالها لأن هذه بتساوي هذه و هذه اصلا limit احنا اثبتنا ايش بساوي ال E اذا صارت عند ال E برايم هي ايش بتساوي ال E يعني هذه ال E برايم استنتاجا من النظرية", "tokens": [2407, 4948, 465, 13672, 1829, 39896, 23032, 3555, 3615, 995, 1975, 8315, 3714, 38251, 1829, 11296, 297, 4032, 297, 8717, 4587, 9381, 36764, 24401, 1975, 5016, 8315, 3714, 38251, 1829, 9957, 11296, 297, 4032, 297, 30767, 18513, 36764, 24401, 23032, 21292, 3615, 1829, 465, 4724, 23557, 32640, 39896, 4948, 9154, 4948, 465, 8717, 4587, 9381, 36764, 24401, 5296, 5016, 6027, 11296, 5296, 33456, 29538, 39894, 3794, 995, 45865, 29538, 4032, 29538, 1975, 9381, 15040, 4948, 1975, 5016, 8315, 1975, 12984, 3555, 2655, 8315, 1975, 1829, 8592, 4724, 3794, 995, 45865, 2423, 462, 1975, 15730, 20328, 9640, 2655, 43242, 2423, 462, 4724, 23557, 32640, 39896, 1975, 1829, 8592, 39894, 3794, 995, 45865, 2423, 462, 37495, 22653, 29538, 2423, 462, 4724, 23557, 32640, 44713, 29399, 26108, 995, 9154, 28239, 19913, 2288, 10632], "avg_logprob": -0.22960401104606745, "compression_ratio": 2.116279069767442, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 2207.72, "end": 2207.86, "word": "و", "probability": 0.6923828125}, {"start": 2207.86, "end": 2208.18, "word": " limit", "probability": 0.52001953125}, {"start": 2208.18, "end": 2208.78, "word": " en", "probability": 0.238037109375}, {"start": 2208.78, "end": 2209.58, "word": " اللي", "probability": 0.6083984375}, {"start": 2209.58, "end": 2209.96, "word": " هي", "probability": 0.88818359375}, {"start": 2209.96, "end": 2210.5, "word": " طبعا", "probability": 0.84588623046875}, {"start": 2210.5, "end": 2210.58, "word": " انا", "probability": 0.34130859375}, {"start": 2210.58, "end": 2210.96, "word": " مسميها", "probability": 0.81524658203125}, {"start": 2210.96, "end": 2211.1, "word": " n", "probability": 0.469970703125}, {"start": 2211.1, "end": 2211.18, "word": " و", "probability": 0.93017578125}, {"start": 2211.18, "end": 2211.28, "word": " n", "probability": 0.77685546875}, {"start": 2211.28, "end": 2211.58, "word": " نقص", "probability": 0.7459309895833334}, {"start": 2211.58, "end": 2211.8, "word": " واحد", "probability": 0.956298828125}, {"start": 2211.8, "end": 2211.98, "word": " احنا", "probability": 0.85791015625}, {"start": 2211.98, "end": 2212.56, "word": " مسميينها", "probability": 0.82509765625}, {"start": 2212.56, "end": 2212.74, "word": " n", "probability": 0.802734375}, {"start": 2212.74, "end": 2212.86, "word": " و", "probability": 0.978515625}, {"start": 2212.86, "end": 2213.0, "word": " n", "probability": 0.916015625}, {"start": 2213.0, "end": 2213.28, "word": " زاد", "probability": 0.712890625}, {"start": 2213.28, "end": 2213.62, "word": " واحد", "probability": 0.97802734375}, {"start": 2213.62, "end": 2214.28, "word": " طبيعي", "probability": 0.8404541015625}, {"start": 2214.28, "end": 2214.96, "word": " en", "probability": 0.287109375}, {"start": 2214.96, "end": 2215.4, "word": " برايم", "probability": 0.7495930989583334}, {"start": 2215.4, "end": 2215.54, "word": " هي", "probability": 0.82080078125}, {"start": 2215.54, "end": 2215.8, "word": " limit", "probability": 0.94091796875}, {"start": 2215.8, "end": 2216.02, "word": " من", "probability": 0.1114501953125}, {"start": 2216.02, "end": 2216.52, "word": " limit", "probability": 0.31787109375}, {"start": 2216.52, "end": 2216.88, "word": " en", "probability": 0.6796875}, {"start": 2216.88, "end": 2217.34, "word": " نقص", "probability": 0.9471028645833334}, {"start": 2217.34, "end": 2217.74, "word": " واحد", "probability": 0.990478515625}, {"start": 2217.74, "end": 2218.74, "word": " لحالها", "probability": 0.9908447265625}, {"start": 2218.74, "end": 2219.46, "word": " لأن", "probability": 0.80078125}, {"start": 2219.46, "end": 2219.78, "word": " هذه", "probability": 0.431884765625}, {"start": 2219.78, "end": 2220.3, "word": " بتساوي", "probability": 0.8828125}, {"start": 2220.3, "end": 2220.66, "word": " هذه", "probability": 0.9443359375}, {"start": 2220.66, "end": 2221.02, "word": " و", "probability": 0.62744140625}, {"start": 2221.02, "end": 2221.42, "word": " هذه", "probability": 0.57568359375}, {"start": 2221.42, "end": 2221.76, "word": " اصلا", "probability": 0.7902018229166666}, {"start": 2221.76, "end": 2222.18, "word": " limit", "probability": 0.90234375}, {"start": 2222.18, "end": 2222.62, "word": " احنا", "probability": 0.94287109375}, {"start": 2222.62, "end": 2223.16, "word": " اثبتنا", "probability": 0.93388671875}, {"start": 2223.16, "end": 2223.36, "word": " ايش", "probability": 0.783203125}, {"start": 2223.36, "end": 2223.9, "word": " بساوي", "probability": 0.81829833984375}, {"start": 2223.9, "end": 2224.5, "word": " ال", "probability": 0.91845703125}, {"start": 2224.5, "end": 2224.72, "word": " E", "probability": 0.70556640625}, {"start": 2224.72, "end": 2225.0, "word": " اذا", "probability": 0.6669921875}, {"start": 2225.0, "end": 2225.42, "word": " صارت", "probability": 0.90625}, {"start": 2225.42, "end": 2225.62, "word": " عند", "probability": 0.97314453125}, {"start": 2225.62, "end": 2225.84, "word": " ال", "probability": 0.884765625}, {"start": 2225.84, "end": 2226.08, "word": " E", "probability": 0.9462890625}, {"start": 2226.08, "end": 2226.62, "word": " برايم", "probability": 0.803466796875}, {"start": 2226.62, "end": 2227.14, "word": " هي", "probability": 0.82177734375}, {"start": 2227.14, "end": 2227.38, "word": " ايش", "probability": 0.9283854166666666}, {"start": 2227.38, "end": 2227.84, "word": " بتساوي", "probability": 0.9803466796875}, {"start": 2227.84, "end": 2227.98, "word": " ال", "probability": 0.85595703125}, {"start": 2227.98, "end": 2228.04, "word": " E", "probability": 0.9873046875}, {"start": 2228.04, "end": 2228.58, "word": " يعني", "probability": 0.943115234375}, {"start": 2228.58, "end": 2228.84, "word": " هذه", "probability": 0.7763671875}, {"start": 2228.84, "end": 2229.0, "word": " ال", "probability": 0.9677734375}, {"start": 2229.0, "end": 2229.16, "word": " E", "probability": 0.984375}, {"start": 2229.16, "end": 2229.46, "word": " برايم", "probability": 0.9798177083333334}, {"start": 2229.46, "end": 2230.48, "word": " استنتاجا", "probability": 0.95849609375}, {"start": 2230.48, "end": 2230.72, "word": " من", "probability": 0.98388671875}, {"start": 2230.72, "end": 2231.56, "word": " النظرية", "probability": 0.9599609375}], "temperature": 1.0}, {"id": 100, "seek": 224264, "start": 2231.94, "end": 2242.64, "text": "و هذه اللي هو من اللي أثبتنا في البداية و أيضا نقدر نستخدم .. لسه نتجه من النظرية لكن أحنا أثبتنا فيها قبل ما نستعمل المظلة", "tokens": [2407, 29538, 13672, 1829, 31439, 9154, 13672, 1829, 5551, 12984, 3555, 2655, 8315, 8978, 29739, 28259, 10632, 4032, 36632, 11242, 995, 8717, 28543, 2288, 8717, 14851, 9778, 40448, 4386, 5296, 3794, 3224, 8717, 2655, 7435, 3224, 9154, 28239, 19913, 2288, 10632, 44381, 5551, 5016, 8315, 5551, 12984, 3555, 2655, 8315, 8978, 11296, 12174, 36150, 19446, 8717, 14851, 25957, 1211, 9673, 19913, 37977], "avg_logprob": -0.27926588531524416, "compression_ratio": 1.6222222222222222, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2231.94, "end": 2232.26, "word": "و", "probability": 0.68505859375}, {"start": 2232.26, "end": 2232.76, "word": " هذه", "probability": 0.25634765625}, {"start": 2232.76, "end": 2233.18, "word": " اللي", "probability": 0.78759765625}, {"start": 2233.18, "end": 2233.42, "word": " هو", "probability": 0.84033203125}, {"start": 2233.42, "end": 2233.66, "word": " من", "probability": 0.83642578125}, {"start": 2233.66, "end": 2233.8, "word": " اللي", "probability": 0.9580078125}, {"start": 2233.8, "end": 2234.48, "word": " أثبتنا", "probability": 0.8765625}, {"start": 2234.48, "end": 2235.08, "word": " في", "probability": 0.89453125}, {"start": 2235.08, "end": 2235.84, "word": " البداية", "probability": 0.9869791666666666}, {"start": 2235.84, "end": 2236.26, "word": " و", "probability": 0.5478515625}, {"start": 2236.26, "end": 2236.68, "word": " أيضا", "probability": 0.8211263020833334}, {"start": 2236.68, "end": 2236.98, "word": " نقدر", "probability": 0.6080729166666666}, {"start": 2236.98, "end": 2237.42, "word": " نستخدم", "probability": 0.9603271484375}, {"start": 2237.42, "end": 2237.5, "word": " ..", "probability": 0.287109375}, {"start": 2237.5, "end": 2238.56, "word": " لسه", "probability": 0.7698567708333334}, {"start": 2238.56, "end": 2238.88, "word": " نتجه", "probability": 0.528350830078125}, {"start": 2238.88, "end": 2238.96, "word": " من", "probability": 0.94970703125}, {"start": 2238.96, "end": 2239.3, "word": " النظرية", "probability": 0.9139404296875}, {"start": 2239.3, "end": 2239.54, "word": " لكن", "probability": 0.73193359375}, {"start": 2239.54, "end": 2239.8, "word": " أحنا", "probability": 0.8219401041666666}, {"start": 2239.8, "end": 2240.46, "word": " أثبتنا", "probability": 0.99521484375}, {"start": 2240.46, "end": 2240.86, "word": " فيها", "probability": 0.4525146484375}, {"start": 2240.86, "end": 2241.14, "word": " قبل", "probability": 0.7435302734375}, {"start": 2241.14, "end": 2241.4, "word": " ما", "probability": 0.94921875}, {"start": 2241.4, "end": 2242.28, "word": " نستعمل", "probability": 0.9119873046875}, {"start": 2242.28, "end": 2242.64, "word": " المظلة", "probability": 0.75244140625}], "temperature": 1.0}, {"id": 101, "seek": 227280, "start": 2244.12, "end": 2272.8, "text": "طيب هذا الكلام صحيح وين لكل x وين موجودة في ناقص a و a لكن a احنا أخدناها أجمالها arbitrary يعني الآن بيصير عندي اللي هو لكل x بلقي لواحدة زي هيك بتحقق الكلام هذا الآن فبصير عندي a prime of x بسوية of x لكل x element in R وهيك بيكون احنا أثبتنا وجود اللي هو ال E of X", "tokens": [9566, 1829, 3555, 23758, 2423, 28820, 10943, 20328, 5016, 1829, 5016, 4032, 9957, 5296, 28820, 2031, 4032, 9957, 3714, 29245, 23328, 3660, 8978, 8717, 995, 4587, 9381, 257, 4032, 257, 44381, 257, 1975, 5016, 8315, 5551, 9778, 3215, 8315, 11296, 5551, 7435, 2304, 6027, 11296, 23211, 37495, 22653, 6024, 48506, 4724, 1829, 9381, 13546, 18871, 16254, 13672, 1829, 31439, 5296, 28820, 2031, 4724, 1211, 38436, 5296, 14407, 24401, 3660, 30767, 1829, 39896, 4117, 39894, 5016, 4587, 4587, 2423, 28820, 10943, 23758, 6024, 48506, 6156, 3555, 9381, 13546, 18871, 16254, 257, 5835, 295, 2031, 4724, 3794, 2407, 10632, 295, 2031, 5296, 28820, 2031, 4478, 294, 497, 37037, 1829, 4117, 4724, 1829, 30544, 1975, 5016, 8315, 5551, 12984, 3555, 2655, 8315, 49610, 23328, 13672, 1829, 31439, 2423, 462, 295, 1783], "avg_logprob": -0.2215358527131783, "compression_ratio": 1.7966804979253113, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 2244.12, "end": 2244.7, "word": "طيب", "probability": 0.7976888020833334}, {"start": 2244.7, "end": 2245.14, "word": " هذا", "probability": 0.591796875}, {"start": 2245.14, "end": 2245.54, "word": " الكلام", "probability": 0.9632161458333334}, {"start": 2245.54, "end": 2246.0, "word": " صحيح", "probability": 0.99365234375}, {"start": 2246.0, "end": 2246.42, "word": " وين", "probability": 0.7113037109375}, {"start": 2246.42, "end": 2247.22, "word": " لكل", "probability": 0.878173828125}, {"start": 2247.22, "end": 2247.46, "word": " x", "probability": 0.40283203125}, {"start": 2247.46, "end": 2247.66, "word": " وين", "probability": 0.7247314453125}, {"start": 2247.66, "end": 2248.3, "word": " موجودة", "probability": 0.973876953125}, {"start": 2248.3, "end": 2248.74, "word": " في", "probability": 0.84130859375}, {"start": 2248.74, "end": 2249.14, "word": " ناقص", "probability": 0.9371337890625}, {"start": 2249.14, "end": 2249.34, "word": " a", "probability": 0.7314453125}, {"start": 2249.34, "end": 2249.46, "word": " و", "probability": 0.9111328125}, {"start": 2249.46, "end": 2249.62, "word": " a", "probability": 0.61572265625}, {"start": 2249.62, "end": 2250.06, "word": " لكن", "probability": 0.78076171875}, {"start": 2250.06, "end": 2250.38, "word": " a", "probability": 0.56982421875}, {"start": 2250.38, "end": 2250.68, "word": " احنا", "probability": 0.7803548177083334}, {"start": 2250.68, "end": 2251.34, "word": " أخدناها", "probability": 0.76220703125}, {"start": 2251.34, "end": 2252.0, "word": " أجمالها", "probability": 0.68818359375}, {"start": 2252.0, "end": 2253.24, "word": " arbitrary", "probability": 0.88720703125}, {"start": 2253.24, "end": 2254.36, "word": " يعني", "probability": 0.9423828125}, {"start": 2254.36, "end": 2254.72, "word": " الآن", "probability": 0.736572265625}, {"start": 2254.72, "end": 2255.12, "word": " بيصير", "probability": 0.9300537109375}, {"start": 2255.12, "end": 2255.6, "word": " عندي", "probability": 0.787841796875}, {"start": 2255.6, "end": 2256.36, "word": " اللي", "probability": 0.9775390625}, {"start": 2256.36, "end": 2256.7, "word": " هو", "probability": 0.98583984375}, {"start": 2256.7, "end": 2257.44, "word": " لكل", "probability": 0.982177734375}, {"start": 2257.44, "end": 2257.72, "word": " x", "probability": 0.94873046875}, {"start": 2257.72, "end": 2258.0, "word": " بلقي", "probability": 0.6456705729166666}, {"start": 2258.0, "end": 2258.44, "word": " لواحدة", "probability": 0.719451904296875}, {"start": 2258.44, "end": 2258.64, "word": " زي", "probability": 0.9873046875}, {"start": 2258.64, "end": 2259.06, "word": " هيك", "probability": 0.9755859375}, {"start": 2259.06, "end": 2259.84, "word": " بتحقق", "probability": 0.8939208984375}, {"start": 2259.84, "end": 2260.28, "word": " الكلام", "probability": 0.9763997395833334}, {"start": 2260.28, "end": 2260.74, "word": " هذا", "probability": 0.955078125}, {"start": 2260.74, "end": 2261.56, "word": " الآن", "probability": 0.724853515625}, {"start": 2261.56, "end": 2262.04, "word": " فبصير", "probability": 0.8580322265625}, {"start": 2262.04, "end": 2262.32, "word": " عندي", "probability": 0.8876953125}, {"start": 2262.32, "end": 2262.48, "word": " a", "probability": 0.220458984375}, {"start": 2262.48, "end": 2262.72, "word": " prime", "probability": 0.444091796875}, {"start": 2262.72, "end": 2262.9, "word": " of", "probability": 0.935546875}, {"start": 2262.9, "end": 2263.1, "word": " x", "probability": 0.96142578125}, {"start": 2263.1, "end": 2263.48, "word": " بسوية", "probability": 0.53619384765625}, {"start": 2263.48, "end": 2263.66, "word": " of", "probability": 0.806640625}, {"start": 2263.66, "end": 2263.88, "word": " x", "probability": 0.962890625}, {"start": 2263.88, "end": 2264.22, "word": " لكل", "probability": 0.968505859375}, {"start": 2264.22, "end": 2264.56, "word": " x", "probability": 0.9638671875}, {"start": 2264.56, "end": 2265.18, "word": " element", "probability": 0.9384765625}, {"start": 2265.18, "end": 2265.6, "word": " in", "probability": 0.9521484375}, {"start": 2265.6, "end": 2266.18, "word": " R", "probability": 0.98193359375}, {"start": 2266.18, "end": 2267.14, "word": " وهيك", "probability": 0.6122233072916666}, {"start": 2267.14, "end": 2267.38, "word": " بيكون", "probability": 0.7503255208333334}, {"start": 2267.38, "end": 2267.64, "word": " احنا", "probability": 0.8369140625}, {"start": 2267.64, "end": 2268.32, "word": " أثبتنا", "probability": 0.947265625}, {"start": 2268.32, "end": 2269.24, "word": " وجود", "probability": 0.986572265625}, {"start": 2269.24, "end": 2270.24, "word": " اللي", "probability": 0.9794921875}, {"start": 2270.24, "end": 2270.72, "word": " هو", "probability": 0.99462890625}, {"start": 2270.72, "end": 2271.38, "word": " ال", "probability": 0.91943359375}, {"start": 2271.38, "end": 2271.88, "word": " E", "probability": 0.77587890625}, {"start": 2271.88, "end": 2272.28, "word": " of", "probability": 0.96875}, {"start": 2272.28, "end": 2272.8, "word": " X", "probability": 0.84130859375}], "temperature": 1.0}, {"id": 102, "seek": 228291, "start": 2273.55, "end": 2282.91, "text": "أثبتنا وجود دالة أثبتنا وجود دالة سمناها E of X", "tokens": [10721, 12984, 3555, 2655, 8315, 49610, 23328, 11778, 6027, 3660, 5551, 12984, 3555, 2655, 8315, 49610, 23328, 11778, 6027, 3660, 8608, 2304, 8315, 11296, 462, 295, 1783], "avg_logprob": -0.22237723161067283, "compression_ratio": 1.396551724137931, "no_speech_prob": 8.344650268554688e-07, "words": [{"start": 2273.55, "end": 2274.11, "word": "أثبتنا", "probability": 0.883203125}, {"start": 2274.11, "end": 2274.51, "word": " وجود", "probability": 0.98486328125}, {"start": 2274.51, "end": 2275.19, "word": " دالة", "probability": 0.96240234375}, {"start": 2275.19, "end": 2278.39, "word": " أثبتنا", "probability": 0.77947998046875}, {"start": 2278.39, "end": 2278.99, "word": " وجود", "probability": 0.990234375}, {"start": 2278.99, "end": 2279.71, "word": " دالة", "probability": 0.99169921875}, {"start": 2279.71, "end": 2281.13, "word": " سمناها", "probability": 0.7340087890625}, {"start": 2281.13, "end": 2282.09, "word": " E", "probability": 0.763671875}, {"start": 2282.09, "end": 2282.37, "word": " of", "probability": 0.814453125}, {"start": 2282.37, "end": 2282.91, "word": " X", "probability": 0.98876953125}], "temperature": 1.0}, {"id": 103, "seek": 230912, "start": 2283.76, "end": 2309.12, "text": "هذه الدالة بتحقق شرطين اللي هو E prime of X بساوي E of X وبتحقق الشرط التاني E of 0 بساوي 1 السؤال الآن هل في غيرها؟ هل في غيرها ولا لأ؟ طبعا لحظة الحظ أنه لا يوجد دالة غير هذه الدالة اللي بتحقق هذا الكلام", "tokens": [3224, 24192, 32748, 6027, 3660, 39894, 5016, 4587, 4587, 13412, 2288, 9566, 9957, 13672, 1829, 31439, 462, 5835, 295, 1783, 4724, 3794, 995, 45865, 462, 295, 1783, 46599, 2655, 5016, 4587, 4587, 25124, 2288, 9566, 16712, 7649, 1829, 462, 295, 1958, 4724, 3794, 995, 45865, 502, 21136, 33604, 6027, 6024, 48506, 8032, 1211, 8978, 32771, 13546, 11296, 22807, 8032, 1211, 8978, 32771, 13546, 11296, 49429, 5296, 10721, 22807, 23032, 3555, 3615, 995, 5296, 5016, 19913, 3660, 21542, 19913, 14739, 3224, 20193, 7251, 29245, 3215, 11778, 6027, 3660, 32771, 13546, 29538, 32748, 6027, 3660, 13672, 1829, 39894, 5016, 4587, 4587, 23758, 2423, 28820, 10943], "avg_logprob": -0.16571515139478904, "compression_ratio": 1.835978835978836, "no_speech_prob": 7.748603820800781e-07, "words": [{"start": 2283.76, "end": 2284.26, "word": "هذه", "probability": 0.741943359375}, {"start": 2284.26, "end": 2284.72, "word": " الدالة", "probability": 0.91796875}, {"start": 2284.72, "end": 2285.34, "word": " بتحقق", "probability": 0.8272705078125}, {"start": 2285.34, "end": 2285.9, "word": " شرطين", "probability": 0.965576171875}, {"start": 2285.9, "end": 2286.1, "word": " اللي", "probability": 0.594482421875}, {"start": 2286.1, "end": 2286.32, "word": " هو", "probability": 0.96533203125}, {"start": 2286.32, "end": 2286.56, "word": " E", "probability": 0.56396484375}, {"start": 2286.56, "end": 2287.0, "word": " prime", "probability": 0.30078125}, {"start": 2287.0, "end": 2287.24, "word": " of", "probability": 0.93359375}, {"start": 2287.24, "end": 2287.66, "word": " X", "probability": 0.91748046875}, {"start": 2287.66, "end": 2288.36, "word": " بساوي", "probability": 0.661773681640625}, {"start": 2288.36, "end": 2288.6, "word": " E", "probability": 0.9609375}, {"start": 2288.6, "end": 2288.74, "word": " of", "probability": 0.88037109375}, {"start": 2288.74, "end": 2289.14, "word": " X", "probability": 0.99658203125}, {"start": 2289.14, "end": 2290.02, "word": " وبتحقق", "probability": 0.84716796875}, {"start": 2290.02, "end": 2290.44, "word": " الشرط", "probability": 0.98486328125}, {"start": 2290.44, "end": 2291.04, "word": " التاني", "probability": 0.9705403645833334}, {"start": 2291.04, "end": 2291.9, "word": " E", "probability": 0.98388671875}, {"start": 2291.9, "end": 2292.38, "word": " of", "probability": 0.953125}, {"start": 2292.38, "end": 2293.38, "word": " 0", "probability": 0.344970703125}, {"start": 2293.38, "end": 2294.52, "word": " بساوي", "probability": 0.9266357421875}, {"start": 2294.52, "end": 2294.92, "word": " 1", "probability": 0.9296875}, {"start": 2294.92, "end": 2296.36, "word": " السؤال", "probability": 0.9822591145833334}, {"start": 2296.36, "end": 2297.08, "word": " الآن", "probability": 0.74365234375}, {"start": 2297.08, "end": 2298.06, "word": " هل", "probability": 0.882568359375}, {"start": 2298.06, "end": 2298.58, "word": " في", "probability": 0.76513671875}, {"start": 2298.58, "end": 2299.7, "word": " غيرها؟", "probability": 0.83544921875}, {"start": 2299.7, "end": 2300.02, "word": " هل", "probability": 0.79443359375}, {"start": 2300.02, "end": 2300.18, "word": " في", "probability": 0.97900390625}, {"start": 2300.18, "end": 2300.68, "word": " غيرها", "probability": 0.9978841145833334}, {"start": 2300.68, "end": 2301.06, "word": " ولا", "probability": 0.72314453125}, {"start": 2301.06, "end": 2301.72, "word": " لأ؟", "probability": 0.7526041666666666}, {"start": 2301.72, "end": 2302.12, "word": " طبعا", "probability": 0.978271484375}, {"start": 2302.12, "end": 2302.56, "word": " لحظة", "probability": 0.75390625}, {"start": 2302.56, "end": 2303.0, "word": " الحظ", "probability": 0.92333984375}, {"start": 2303.0, "end": 2303.3, "word": " أنه", "probability": 0.59619140625}, {"start": 2303.3, "end": 2303.46, "word": " لا", "probability": 0.9169921875}, {"start": 2303.46, "end": 2303.98, "word": " يوجد", "probability": 0.9070638020833334}, {"start": 2303.98, "end": 2304.68, "word": " دالة", "probability": 0.990234375}, {"start": 2304.68, "end": 2305.46, "word": " غير", "probability": 0.986328125}, {"start": 2305.46, "end": 2305.86, "word": " هذه", "probability": 0.9091796875}, {"start": 2305.86, "end": 2306.76, "word": " الدالة", "probability": 0.9884440104166666}, {"start": 2306.76, "end": 2307.38, "word": " اللي", "probability": 0.916015625}, {"start": 2307.38, "end": 2308.16, "word": " بتحقق", "probability": 0.9227294921875}, {"start": 2308.16, "end": 2308.48, "word": " هذا", "probability": 0.94580078125}, {"start": 2308.48, "end": 2309.12, "word": " الكلام", "probability": 0.9523111979166666}], "temperature": 1.0}, {"id": 104, "seek": 233180, "start": 2309.98, "end": 2331.8, "text": "بس قبل ما نثبت الـ uniqueness خلّينا ناخد بعض النتائج بشكل سريع و نتائج سهلة و اللي هي ان شاء الله متاخدش وقتها شوفوا يا جماعة صلوا على النبي عليه الصلاة والسلام الـ function E has a derivative of every order and E N of X بيساوي E of X for all N element in N و X element in R", "tokens": [3555, 3794, 12174, 36150, 19446, 8717, 12984, 3555, 2655, 2423, 39184, 48294, 16490, 1211, 11703, 9957, 995, 8717, 47283, 3215, 45030, 11242, 28239, 2655, 16373, 7435, 4724, 8592, 28820, 8608, 16572, 3615, 4032, 8717, 2655, 16373, 7435, 8608, 3224, 37977, 4032, 13672, 1829, 39896, 16472, 13412, 16606, 21984, 44650, 47283, 3215, 8592, 4032, 38149, 11296, 13412, 38688, 14407, 35186, 10874, 15042, 27884, 20328, 1211, 14407, 15844, 28239, 21292, 47356, 31767, 15040, 3660, 16070, 3794, 37440, 2423, 39184, 2445, 462, 575, 257, 13760, 295, 633, 1668, 293, 462, 426, 295, 1783, 4724, 1829, 3794, 995, 45865, 462, 295, 1783, 337, 439, 426, 4478, 294, 426, 4032, 1783, 4478, 294, 497], "avg_logprob": -0.25909092290834945, "compression_ratio": 1.5517241379310345, "no_speech_prob": 1.7285346984863281e-06, "words": [{"start": 2309.98, "end": 2310.3, "word": "بس", "probability": 0.6590576171875}, {"start": 2310.3, "end": 2310.48, "word": " قبل", "probability": 0.92578125}, {"start": 2310.48, "end": 2310.62, "word": " ما", "probability": 0.54443359375}, {"start": 2310.62, "end": 2310.96, "word": " نثبت", "probability": 0.992431640625}, {"start": 2310.96, "end": 2311.14, "word": " الـ", "probability": 0.7017822265625}, {"start": 2311.14, "end": 2311.48, "word": " uniqueness", "probability": 0.8818359375}, {"start": 2311.48, "end": 2312.52, "word": " خلّينا", "probability": 0.77216796875}, {"start": 2312.52, "end": 2312.84, "word": " ناخد", "probability": 0.9278971354166666}, {"start": 2312.84, "end": 2313.16, "word": " بعض", "probability": 0.962646484375}, {"start": 2313.16, "end": 2313.84, "word": " النتائج", "probability": 0.97265625}, {"start": 2313.84, "end": 2315.04, "word": " بشكل", "probability": 0.9236653645833334}, {"start": 2315.04, "end": 2315.56, "word": " سريع", "probability": 0.9939778645833334}, {"start": 2315.56, "end": 2315.74, "word": " و", "probability": 0.90576171875}, {"start": 2315.74, "end": 2316.2, "word": " نتائج", "probability": 0.80615234375}, {"start": 2316.2, "end": 2316.64, "word": " سهلة", "probability": 0.9912109375}, {"start": 2316.64, "end": 2317.32, "word": " و", "probability": 0.59375}, {"start": 2317.32, "end": 2318.0, "word": " اللي", "probability": 0.734375}, {"start": 2318.0, "end": 2318.28, "word": " هي", "probability": 0.55419921875}, {"start": 2318.28, "end": 2318.5, "word": " ان", "probability": 0.69384765625}, {"start": 2318.5, "end": 2318.66, "word": " شاء", "probability": 0.95556640625}, {"start": 2318.66, "end": 2318.66, "word": " الله", "probability": 0.93212890625}, {"start": 2318.66, "end": 2319.04, "word": " متاخدش", "probability": 0.74200439453125}, {"start": 2319.04, "end": 2319.9, "word": " وقتها", "probability": 0.9290364583333334}, {"start": 2319.9, "end": 2320.48, "word": " شوفوا", "probability": 0.84375}, {"start": 2320.48, "end": 2320.54, "word": " يا", "probability": 0.9814453125}, {"start": 2320.54, "end": 2321.12, "word": " جماعة", "probability": 0.9931640625}, {"start": 2321.12, "end": 2321.76, "word": " صلوا", "probability": 0.61474609375}, {"start": 2321.76, "end": 2321.88, "word": " على", "probability": 0.5732421875}, {"start": 2321.88, "end": 2322.18, "word": " النبي", "probability": 0.827392578125}, {"start": 2322.18, "end": 2322.44, "word": " عليه", "probability": 0.716796875}, {"start": 2322.44, "end": 2322.7, "word": " الصلاة", "probability": 0.984375}, {"start": 2322.7, "end": 2323.04, "word": " والسلام", "probability": 0.9143880208333334}, {"start": 2323.04, "end": 2323.82, "word": " الـ", "probability": 0.47210693359375}, {"start": 2323.82, "end": 2324.16, "word": " function", "probability": 0.57666015625}, {"start": 2324.16, "end": 2324.5, "word": " E", "probability": 0.89453125}, {"start": 2324.5, "end": 2324.84, "word": " has", "probability": 0.3876953125}, {"start": 2324.84, "end": 2325.02, "word": " a", "probability": 0.90869140625}, {"start": 2325.02, "end": 2325.4, "word": " derivative", "probability": 0.94921875}, {"start": 2325.4, "end": 2325.78, "word": " of", "probability": 0.97265625}, {"start": 2325.78, "end": 2326.8, "word": " every", "probability": 0.55859375}, {"start": 2326.8, "end": 2327.36, "word": " order", "probability": 0.9384765625}, {"start": 2327.36, "end": 2328.08, "word": " and", "probability": 0.66455078125}, {"start": 2328.08, "end": 2328.26, "word": " E", "probability": 0.3193359375}, {"start": 2328.26, "end": 2328.4, "word": " N", "probability": 0.2349853515625}, {"start": 2328.4, "end": 2328.54, "word": " of", "probability": 0.6533203125}, {"start": 2328.54, "end": 2328.72, "word": " X", "probability": 0.9853515625}, {"start": 2328.72, "end": 2329.1, "word": " بيساوي", "probability": 0.57491455078125}, {"start": 2329.1, "end": 2329.24, "word": " E", "probability": 0.95849609375}, {"start": 2329.24, "end": 2329.38, "word": " of", "probability": 0.8818359375}, {"start": 2329.38, "end": 2329.62, "word": " X", "probability": 0.99560546875}, {"start": 2329.62, "end": 2329.94, "word": " for", "probability": 0.9453125}, {"start": 2329.94, "end": 2330.22, "word": " all", "probability": 0.908203125}, {"start": 2330.22, "end": 2330.44, "word": " N", "probability": 0.8955078125}, {"start": 2330.44, "end": 2330.74, "word": " element", "probability": 0.463134765625}, {"start": 2330.74, "end": 2330.9, "word": " in", "probability": 0.623046875}, {"start": 2330.9, "end": 2331.04, "word": " N", "probability": 0.93896484375}, {"start": 2331.04, "end": 2331.14, "word": " و", "probability": 0.6025390625}, {"start": 2331.14, "end": 2331.26, "word": " X", "probability": 0.4775390625}, {"start": 2331.26, "end": 2331.46, "word": " element", "probability": 0.92236328125}, {"start": 2331.46, "end": 2331.66, "word": " in", "probability": 0.6025390625}, {"start": 2331.66, "end": 2331.8, "word": " R", "probability": 0.9814453125}], "temperature": 1.0}, {"id": 105, "seek": 234934, "start": 2332.26, "end": 2349.34, "text": "يعني الآن لو فضلناها كمان مرة و مرتين و تلاتة و أربعة هتطلع أيش نفس الدالة طبعا هذا الكلام سهل و by induction زي ما انتوا عارفين أول حاجة ماثبتها فوران بالساوية واحد فوران بالساوية واحد ماحنا أثبتنا E prime of X أيش بالساوية E of X إذا هذه is true فوران بالساوية واحد", "tokens": [40228, 22653, 6024, 48506, 45164, 6156, 11242, 1211, 8315, 11296, 9122, 2304, 7649, 3714, 25720, 4032, 3714, 43500, 9957, 4032, 6055, 1211, 9307, 3660, 4032, 5551, 25513, 27884, 8032, 2655, 9566, 1211, 3615, 36632, 8592, 8717, 36178, 32748, 6027, 3660, 23032, 3555, 3615, 995, 23758, 2423, 28820, 10943, 8608, 3224, 1211, 4032, 538, 33371, 30767, 1829, 19446, 16472, 2655, 14407, 6225, 9640, 5172, 9957, 5551, 12610, 11331, 26108, 3660, 3714, 5718, 104, 3555, 2655, 11296, 6156, 13063, 7649, 20666, 3794, 995, 2407, 10632, 36764, 24401, 6156, 13063, 7649, 20666, 3794, 995, 2407, 10632, 36764, 24401, 19446, 5016, 8315, 5551, 12984, 3555, 2655, 8315, 462, 5835, 295, 1783, 36632, 8592, 20666, 3794, 995, 2407, 10632, 462, 295, 1783, 11933, 15730, 29538, 307, 2074, 6156, 13063, 7649, 20666, 3794, 995, 2407, 10632, 36764, 24401], "avg_logprob": -0.2361372220785098, "compression_ratio": 1.8791666666666667, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 2332.26, "end": 2332.62, "word": "يعني", "probability": 0.7568359375}, {"start": 2332.62, "end": 2332.92, "word": " الآن", "probability": 0.53851318359375}, {"start": 2332.92, "end": 2333.08, "word": " لو", "probability": 0.931640625}, {"start": 2333.08, "end": 2333.58, "word": " فضلناها", "probability": 0.946484375}, {"start": 2333.58, "end": 2333.86, "word": " كمان", "probability": 0.7843424479166666}, {"start": 2333.86, "end": 2334.08, "word": " مرة", "probability": 0.94580078125}, {"start": 2334.08, "end": 2334.16, "word": " و", "probability": 0.978515625}, {"start": 2334.16, "end": 2334.48, "word": " مرتين", "probability": 0.712890625}, {"start": 2334.48, "end": 2334.6, "word": " و", "probability": 0.92333984375}, {"start": 2334.6, "end": 2334.9, "word": " تلاتة", "probability": 0.936279296875}, {"start": 2334.9, "end": 2334.96, "word": " و", "probability": 0.75927734375}, {"start": 2334.96, "end": 2335.24, "word": " أربعة", "probability": 0.81982421875}, {"start": 2335.24, "end": 2335.66, "word": " هتطلع", "probability": 0.7779296875}, {"start": 2335.66, "end": 2335.94, "word": " أيش", "probability": 0.5885009765625}, {"start": 2335.94, "end": 2336.18, "word": " نفس", "probability": 0.931884765625}, {"start": 2336.18, "end": 2336.56, "word": " الدالة", "probability": 0.9099934895833334}, {"start": 2336.56, "end": 2336.82, "word": " طبعا", "probability": 0.93505859375}, {"start": 2336.82, "end": 2336.98, "word": " هذا", "probability": 0.6220703125}, {"start": 2336.98, "end": 2337.24, "word": " الكلام", "probability": 0.8087565104166666}, {"start": 2337.24, "end": 2337.72, "word": " سهل", "probability": 0.9951171875}, {"start": 2337.72, "end": 2338.04, "word": " و", "probability": 0.81884765625}, {"start": 2338.04, "end": 2338.2, "word": " by", "probability": 0.77978515625}, {"start": 2338.2, "end": 2338.7, "word": " induction", "probability": 0.9755859375}, {"start": 2338.7, "end": 2339.0, "word": " زي", "probability": 0.86572265625}, {"start": 2339.0, "end": 2339.08, "word": " ما", "probability": 0.98486328125}, {"start": 2339.08, "end": 2339.24, "word": " انتوا", "probability": 0.80078125}, {"start": 2339.24, "end": 2339.74, "word": " عارفين", "probability": 0.9862060546875}, {"start": 2339.74, "end": 2340.36, "word": " أول", "probability": 0.8173828125}, {"start": 2340.36, "end": 2340.66, "word": " حاجة", "probability": 0.9695638020833334}, {"start": 2340.66, "end": 2341.1, "word": " ماثبتها", "probability": 0.7172037760416666}, {"start": 2341.1, "end": 2341.42, "word": " فوران", "probability": 0.627685546875}, {"start": 2341.42, "end": 2341.84, "word": " بالساوية", "probability": 0.64287109375}, {"start": 2341.84, "end": 2342.2, "word": " واحد", "probability": 0.951904296875}, {"start": 2342.2, "end": 2342.8, "word": " فوران", "probability": 0.9140625}, {"start": 2342.8, "end": 2343.12, "word": " بالساوية", "probability": 0.959765625}, {"start": 2343.12, "end": 2343.34, "word": " واحد", "probability": 0.9775390625}, {"start": 2343.34, "end": 2343.6, "word": " ماحنا", "probability": 0.7007649739583334}, {"start": 2343.6, "end": 2344.08, "word": " أثبتنا", "probability": 0.96181640625}, {"start": 2344.08, "end": 2344.28, "word": " E", "probability": 0.40185546875}, {"start": 2344.28, "end": 2344.58, "word": " prime", "probability": 0.335693359375}, {"start": 2344.58, "end": 2344.72, "word": " of", "probability": 0.86181640625}, {"start": 2344.72, "end": 2344.92, "word": " X", "probability": 0.88232421875}, {"start": 2344.92, "end": 2345.12, "word": " أيش", "probability": 0.76611328125}, {"start": 2345.12, "end": 2345.72, "word": " بالساوية", "probability": 0.8822265625}, {"start": 2345.72, "end": 2346.0, "word": " E", "probability": 0.81103515625}, {"start": 2346.0, "end": 2346.14, "word": " of", "probability": 0.8203125}, {"start": 2346.14, "end": 2346.48, "word": " X", "probability": 0.99609375}, {"start": 2346.48, "end": 2347.3, "word": " إذا", "probability": 0.51025390625}, {"start": 2347.3, "end": 2347.62, "word": " هذه", "probability": 0.453857421875}, {"start": 2347.62, "end": 2347.92, "word": " is", "probability": 0.335205078125}, {"start": 2347.92, "end": 2348.18, "word": " true", "probability": 0.396728515625}, {"start": 2348.18, "end": 2348.6, "word": " فوران", "probability": 0.8629557291666666}, {"start": 2348.6, "end": 2348.98, "word": " بالساوية", "probability": 0.96494140625}, {"start": 2348.98, "end": 2349.34, "word": " واحد", "probability": 0.992919921875}], "temperature": 1.0}, {"id": 106, "seek": 236875, "start": 2349.89, "end": 2368.75, "text": "طيب لان افترض انها هذه صحيحة في القرآن بيساوي K بيصير E K of X بيساوي E of X لما ان اتبتها ل K زائد واحد طيب ل K زائد واحد خد A K زائد واحد of X ايش هذه؟ هذه اللي هي A K of X الكل اشمالها إبراهيم", "tokens": [9566, 1829, 3555, 5296, 7649, 1975, 5172, 2655, 43042, 16472, 11296, 29538, 20328, 5016, 1829, 5016, 3660, 8978, 25062, 2288, 148, 48506, 4724, 1829, 3794, 995, 45865, 591, 4724, 1829, 9381, 13546, 462, 591, 295, 1783, 4724, 1829, 3794, 995, 45865, 462, 295, 1783, 5296, 15042, 16472, 1975, 2655, 3555, 2655, 11296, 5296, 591, 30767, 16373, 3215, 36764, 24401, 23032, 1829, 3555, 5296, 591, 30767, 16373, 3215, 36764, 24401, 16490, 3215, 316, 591, 30767, 16373, 3215, 36764, 24401, 295, 1783, 1975, 1829, 8592, 29538, 22807, 29538, 13672, 1829, 39896, 316, 591, 295, 1783, 2423, 28820, 1975, 8592, 2304, 6027, 11296, 11933, 3555, 23557, 3224, 32640], "avg_logprob": -0.23791273458386367, "compression_ratio": 1.822857142857143, "no_speech_prob": 6.556510925292969e-07, "words": [{"start": 2349.89, "end": 2350.31, "word": "طيب", "probability": 0.9137369791666666}, {"start": 2350.31, "end": 2350.69, "word": " لان", "probability": 0.2947998046875}, {"start": 2350.69, "end": 2351.07, "word": " افترض", "probability": 0.9237060546875}, {"start": 2351.07, "end": 2351.37, "word": " انها", "probability": 0.805419921875}, {"start": 2351.37, "end": 2351.67, "word": " هذه", "probability": 0.89599609375}, {"start": 2351.67, "end": 2352.17, "word": " صحيحة", "probability": 0.8802734375}, {"start": 2352.17, "end": 2352.29, "word": " في", "probability": 0.810546875}, {"start": 2352.29, "end": 2352.49, "word": " القرآن", "probability": 0.8250732421875}, {"start": 2352.49, "end": 2352.85, "word": " بيساوي", "probability": 0.7568359375}, {"start": 2352.85, "end": 2353.01, "word": " K", "probability": 0.50244140625}, {"start": 2353.01, "end": 2353.41, "word": " بيصير", "probability": 0.8602294921875}, {"start": 2353.41, "end": 2353.73, "word": " E", "probability": 0.759765625}, {"start": 2353.73, "end": 2354.45, "word": " K", "probability": 0.63671875}, {"start": 2354.45, "end": 2355.09, "word": " of", "probability": 0.755859375}, {"start": 2355.09, "end": 2355.51, "word": " X", "probability": 0.974609375}, {"start": 2355.51, "end": 2356.19, "word": " بيساوي", "probability": 0.948828125}, {"start": 2356.19, "end": 2356.49, "word": " E", "probability": 0.9892578125}, {"start": 2356.49, "end": 2356.79, "word": " of", "probability": 0.86669921875}, {"start": 2356.79, "end": 2357.15, "word": " X", "probability": 0.99609375}, {"start": 2357.15, "end": 2357.79, "word": " لما", "probability": 0.609375}, {"start": 2357.79, "end": 2357.89, "word": " ان", "probability": 0.58154296875}, {"start": 2357.89, "end": 2358.27, "word": " اتبتها", "probability": 0.6150390625}, {"start": 2358.27, "end": 2358.39, "word": " ل", "probability": 0.8486328125}, {"start": 2358.39, "end": 2358.51, "word": " K", "probability": 0.69091796875}, {"start": 2358.51, "end": 2358.85, "word": " زائد", "probability": 0.78564453125}, {"start": 2358.85, "end": 2359.21, "word": " واحد", "probability": 0.924072265625}, {"start": 2359.21, "end": 2359.75, "word": " طيب", "probability": 0.9169921875}, {"start": 2359.75, "end": 2359.87, "word": " ل", "probability": 0.84814453125}, {"start": 2359.87, "end": 2360.01, "word": " K", "probability": 0.80859375}, {"start": 2360.01, "end": 2360.25, "word": " زائد", "probability": 0.91796875}, {"start": 2360.25, "end": 2360.45, "word": " واحد", "probability": 0.989013671875}, {"start": 2360.45, "end": 2360.75, "word": " خد", "probability": 0.822265625}, {"start": 2360.75, "end": 2360.95, "word": " A", "probability": 0.6142578125}, {"start": 2360.95, "end": 2361.17, "word": " K", "probability": 0.8623046875}, {"start": 2361.17, "end": 2361.45, "word": " زائد", "probability": 0.95068359375}, {"start": 2361.45, "end": 2361.77, "word": " واحد", "probability": 0.990966796875}, {"start": 2361.77, "end": 2361.93, "word": " of", "probability": 0.89013671875}, {"start": 2361.93, "end": 2362.27, "word": " X", "probability": 0.99072265625}, {"start": 2362.27, "end": 2363.03, "word": " ايش", "probability": 0.74560546875}, {"start": 2363.03, "end": 2363.51, "word": " هذه؟", "probability": 0.3756103515625}, {"start": 2363.51, "end": 2363.71, "word": " هذه", "probability": 0.69921875}, {"start": 2363.71, "end": 2363.87, "word": " اللي", "probability": 0.973876953125}, {"start": 2363.87, "end": 2364.15, "word": " هي", "probability": 0.9052734375}, {"start": 2364.15, "end": 2364.95, "word": " A", "probability": 0.9521484375}, {"start": 2364.95, "end": 2365.43, "word": " K", "probability": 0.955078125}, {"start": 2365.43, "end": 2366.31, "word": " of", "probability": 0.9677734375}, {"start": 2366.31, "end": 2366.73, "word": " X", "probability": 0.99755859375}, {"start": 2366.73, "end": 2367.49, "word": " الكل", "probability": 0.772216796875}, {"start": 2367.49, "end": 2368.17, "word": " اشمالها", "probability": 0.688037109375}, {"start": 2368.17, "end": 2368.75, "word": " إبراهيم", "probability": 0.81005859375}], "temperature": 1.0}, {"id": 107, "seek": 239450, "start": 2369.3, "end": 2394.5, "text": "الان a k of x فرضناها ايه بال��اوية ايه بالساوية ايه بالساوية ايه بالساوية ايه بالساوية ايه بالساوية ايه بالساوية ايه بالساوية ايه بالساوية ايه بالساوية ايه بالساوية ايه بالساوية ايه بالساوية ايه بالساوية ايه بالساوية ايه بالساوية ايه بالساوية ايه بالساوية ايه بالساوية ايه بالساوية ايه بالساوية ايه بالساوية ايه بالساوية ايه بالساوية ايه بالساوية ايه بالساوية ايه بالسا", "tokens": [6027, 7649, 257, 350, 295, 2031, 6156, 43042, 8315, 11296, 1975, 1829, 3224, 20666, 3794, 995, 2407, 10632, 1975, 1829, 3224, 20666, 3794, 995, 2407, 10632, 1975, 1829, 3224, 20666, 3794, 995, 2407, 10632, 1975, 1829, 3224, 20666, 3794, 995, 2407, 10632, 1975, 1829, 3224, 20666, 3794, 995, 2407, 10632, 1975, 1829, 3224, 20666, 3794, 995, 2407, 10632, 1975, 1829, 3224, 20666, 3794, 995, 2407, 10632, 1975, 1829, 3224, 20666, 3794, 995, 2407, 10632, 1975, 1829, 3224, 20666, 3794, 995, 2407, 10632, 1975, 1829, 3224, 20666, 3794, 995, 2407, 10632, 1975, 1829, 3224, 20666, 3794, 995, 2407, 10632, 1975, 1829, 3224, 20666, 3794, 995, 2407, 10632, 1975, 1829, 3224, 20666, 3794, 995, 2407, 10632, 1975, 1829, 3224, 20666, 3794, 995, 2407, 10632, 1975, 1829, 3224, 20666, 3794, 995, 2407, 10632, 1975, 1829, 3224, 20666, 3794, 995, 2407, 10632, 1975, 1829, 3224, 20666, 3794, 995, 2407, 10632, 1975, 1829, 3224, 20666, 3794, 995, 2407, 10632, 1975, 1829, 3224, 20666, 3794, 995, 2407, 10632, 1975, 1829, 3224, 20666, 3794, 995, 2407, 10632, 1975, 1829, 3224, 20666, 3794, 995, 2407, 10632, 1975, 1829, 3224, 20666, 3794, 995, 2407, 10632, 1975, 1829, 3224, 20666, 3794, 995, 2407, 10632, 1975, 1829, 3224, 20666, 3794, 995, 2407, 10632, 1975, 1829, 3224, 20666, 3794, 995, 2407, 10632, 1975, 1829, 3224, 20666, 3794, 995, 2407, 10632, 1975, 1829, 3224, 20666, 3794, 995], "avg_logprob": -0.10187499894036187, "compression_ratio": 10.059701492537313, "no_speech_prob": 0.0, "words": [{"start": 2369.3, "end": 2369.76, "word": "الان", "probability": 0.443603515625}, {"start": 2369.76, "end": 2370.28, "word": " a", "probability": 0.2012939453125}, {"start": 2370.28, "end": 2370.46, "word": " k", "probability": 0.24951171875}, {"start": 2370.46, "end": 2370.62, "word": " of", "probability": 0.79833984375}, {"start": 2370.62, "end": 2370.84, "word": " x", "probability": 0.81689453125}, {"start": 2370.84, "end": 2371.52, "word": " فرضناها", "probability": 0.810546875}, {"start": 2371.52, "end": 2371.6, "word": " ايه", "probability": 0.6114908854166666}, {"start": 2371.6, "end": 2372.1, "word": " بالساوية", "probability": 0.660595703125}, {"start": 2372.1, "end": 2372.38, "word": " ايه", "probability": 0.6942952473958334}, {"start": 2372.38, "end": 2373.0, "word": " بالساوية", "probability": 0.94443359375}, {"start": 2373.0, "end": 2373.54, "word": " ايه", "probability": 0.6750081380208334}, {"start": 2373.54, "end": 2373.54, "word": " بالساوية", "probability": 0.90029296875}, {"start": 2373.54, "end": 2373.54, "word": " ايه", "probability": 0.7127278645833334}, {"start": 2373.54, "end": 2373.72, "word": " بالساوية", "probability": 0.9095703125}, {"start": 2373.72, "end": 2373.72, "word": " ايه", "probability": 0.7665201822916666}, {"start": 2373.72, "end": 2373.8, "word": " بالساوية", "probability": 0.9158203125}, {"start": 2373.8, "end": 2373.8, "word": " ايه", "probability": 0.8141276041666666}, {"start": 2373.8, "end": 2373.8, "word": " بالساوية", "probability": 0.92841796875}, {"start": 2373.8, "end": 2373.86, "word": " ايه", "probability": 0.8704427083333334}, {"start": 2373.86, "end": 2373.94, "word": " بالساوية", "probability": 0.9357421875}, {"start": 2373.94, "end": 2374.1, "word": " ايه", "probability": 0.9228515625}, {"start": 2374.1, "end": 2374.1, "word": " بالساوية", "probability": 0.94267578125}, {"start": 2374.1, "end": 2374.52, "word": " ايه", "probability": 0.9568684895833334}, {"start": 2374.52, "end": 2374.88, "word": " بالساوية", "probability": 0.94716796875}, {"start": 2374.88, "end": 2374.88, "word": " ايه", "probability": 0.9742838541666666}, {"start": 2374.88, "end": 2374.88, "word": " بالساوية", "probability": 0.95146484375}, {"start": 2374.88, "end": 2374.88, "word": " ايه", "probability": 0.9814453125}, {"start": 2374.88, "end": 2374.88, "word": " بالساوية", "probability": 0.95595703125}, {"start": 2374.88, "end": 2374.88, "word": " ايه", "probability": 0.9856770833333334}, {"start": 2374.88, "end": 2374.88, "word": " بالساوية", "probability": 0.95966796875}, {"start": 2374.88, "end": 2374.88, "word": " ايه", "probability": 0.9881184895833334}, {"start": 2374.88, "end": 2374.88, "word": " بالساوية", "probability": 0.96259765625}, {"start": 2374.88, "end": 2374.88, "word": " ايه", "probability": 0.9894205729166666}, {"start": 2374.88, "end": 2374.88, "word": " بالساوية", "probability": 0.9658203125}, {"start": 2374.88, "end": 2374.88, "word": " ايه", "probability": 0.9908854166666666}, {"start": 2374.88, "end": 2374.88, "word": " بالساوية", "probability": 0.9681640625}, {"start": 2374.88, "end": 2374.88, "word": " ايه", "probability": 0.99169921875}, {"start": 2374.88, "end": 2374.9, "word": " بالساوية", "probability": 0.971875}, {"start": 2374.9, "end": 2374.92, "word": " ايه", "probability": 0.9923502604166666}, {"start": 2374.92, "end": 2374.92, "word": " بالساوية", "probability": 0.97314453125}, {"start": 2374.92, "end": 2375.18, "word": " ايه", "probability": 0.9930013020833334}, {"start": 2375.18, "end": 2375.18, "word": " بالساوية", "probability": 0.975390625}, {"start": 2375.18, "end": 2375.24, "word": " ايه", "probability": 0.9934895833333334}, {"start": 2375.24, "end": 2375.36, "word": " بالساوية", "probability": 0.97802734375}, {"start": 2375.36, "end": 2375.62, "word": " ايه", "probability": 0.9939778645833334}, {"start": 2375.62, "end": 2375.68, "word": " بالساوية", "probability": 0.9794921875}, {"start": 2375.68, "end": 2376.84, "word": " ايه", "probability": 0.99462890625}, {"start": 2376.84, "end": 2377.2, "word": " بالساوية", "probability": 0.98095703125}, {"start": 2377.2, "end": 2378.08, "word": " ايه", "probability": 0.9947916666666666}, {"start": 2378.08, "end": 2378.94, "word": " بالساوية", "probability": 0.98232421875}, {"start": 2378.94, "end": 2378.94, "word": " ايه", "probability": 0.9949544270833334}, {"start": 2378.94, "end": 2379.72, "word": " بالساوية", "probability": 0.9833984375}, {"start": 2379.72, "end": 2382.1, "word": " ايه", "probability": 0.9952799479166666}, {"start": 2382.1, "end": 2382.5, "word": " بالساوية", "probability": 0.98466796875}, {"start": 2382.5, "end": 2383.18, "word": " ايه", "probability": 0.9952799479166666}, {"start": 2383.18, "end": 2383.84, "word": " بالساوية", "probability": 0.98505859375}, {"start": 2383.84, "end": 2385.64, "word": " ايه", "probability": 0.9954427083333334}, {"start": 2385.64, "end": 2385.88, "word": " بالساوية", "probability": 0.98525390625}, {"start": 2385.88, "end": 2387.72, "word": " ايه", "probability": 0.9954427083333334}, {"start": 2387.72, "end": 2394.5, "word": " بالسا", "probability": 0.9840494791666666}], "temperature": 1.0}, {"id": 108, "seek": 242364, "start": 2395.64, "end": 2423.64, "text": "وضلك فاضل إلى ما لا نهاية حيظل تطلع نفس الدالة نجي الآن لـ Corollary أو الخاصية اللي بعدها لهذه الدالة هذه الدالة Fx أكبر من 0 بقولك دايماً حيكون الواحد زائد X strictly أصغر من مين من E of X من E of X ان ان", "tokens": [2407, 11242, 23275, 6156, 46958, 1211, 30731, 19446, 20193, 8717, 11296, 10632, 11331, 1829, 19913, 1211, 6055, 9566, 1211, 3615, 8717, 36178, 32748, 6027, 3660, 8717, 7435, 1829, 6024, 48506, 5296, 39184, 3925, 1833, 822, 34051, 33962, 33546, 10632, 13672, 1829, 45030, 3215, 11296, 46740, 24192, 32748, 6027, 3660, 29538, 32748, 6027, 3660, 479, 87, 5551, 4117, 26890, 9154, 1958, 4724, 39648, 4117, 11778, 47302, 15042, 14111, 11331, 1829, 30544, 2423, 14407, 24401, 30767, 16373, 3215, 1783, 20792, 5551, 9381, 17082, 2288, 9154, 3714, 9957, 9154, 462, 295, 1783, 9154, 462, 295, 1783, 16472, 16472], "avg_logprob": -0.2954101500411828, "compression_ratio": 1.5868544600938967, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 2395.64, "end": 2396.22, "word": "وضلك", "probability": 0.4231770833333333}, {"start": 2396.22, "end": 2396.66, "word": " فاضل", "probability": 0.7888997395833334}, {"start": 2396.66, "end": 2396.88, "word": " إلى", "probability": 0.74658203125}, {"start": 2396.88, "end": 2397.12, "word": " ما", "probability": 0.65478515625}, {"start": 2397.12, "end": 2397.24, "word": " لا", "probability": 0.48291015625}, {"start": 2397.24, "end": 2397.8, "word": " نهاية", "probability": 0.9568684895833334}, {"start": 2397.8, "end": 2398.66, "word": " حيظل", "probability": 0.721405029296875}, {"start": 2398.66, "end": 2399.18, "word": " تطلع", "probability": 0.82720947265625}, {"start": 2399.18, "end": 2399.62, "word": " نفس", "probability": 0.98583984375}, {"start": 2399.62, "end": 2400.76, "word": " الدالة", "probability": 0.9501953125}, {"start": 2400.76, "end": 2401.62, "word": " نجي", "probability": 0.7457682291666666}, {"start": 2401.62, "end": 2401.98, "word": " الآن", "probability": 0.668212890625}, {"start": 2401.98, "end": 2402.78, "word": " لـ", "probability": 0.4930419921875}, {"start": 2402.78, "end": 2403.48, "word": " Corollary", "probability": 0.8663736979166666}, {"start": 2403.48, "end": 2403.8, "word": " أو", "probability": 0.7177734375}, {"start": 2403.8, "end": 2404.68, "word": " الخاصية", "probability": 0.9895833333333334}, {"start": 2404.68, "end": 2405.72, "word": " اللي", "probability": 0.819580078125}, {"start": 2405.72, "end": 2406.44, "word": " بعدها", "probability": 0.8640950520833334}, {"start": 2406.44, "end": 2407.34, "word": " لهذه", "probability": 0.930908203125}, {"start": 2407.34, "end": 2408.2, "word": " الدالة", "probability": 0.99365234375}, {"start": 2408.2, "end": 2409.94, "word": " هذه", "probability": 0.3662109375}, {"start": 2409.94, "end": 2410.76, "word": " الدالة", "probability": 0.9923502604166666}, {"start": 2410.76, "end": 2411.52, "word": " Fx", "probability": 0.3359375}, {"start": 2411.52, "end": 2411.82, "word": " أكبر", "probability": 0.9176432291666666}, {"start": 2411.82, "end": 2412.04, "word": " من", "probability": 0.99560546875}, {"start": 2412.04, "end": 2412.34, "word": " 0", "probability": 0.509765625}, {"start": 2412.34, "end": 2412.92, "word": " بقولك", "probability": 0.75}, {"start": 2412.92, "end": 2414.6, "word": " دايماً", "probability": 0.81005859375}, {"start": 2414.6, "end": 2415.04, "word": " حيكون", "probability": 0.7603352864583334}, {"start": 2415.04, "end": 2415.48, "word": " الواحد", "probability": 0.7314453125}, {"start": 2415.48, "end": 2415.86, "word": " زائد", "probability": 0.7611490885416666}, {"start": 2415.86, "end": 2416.04, "word": " X", "probability": 0.669921875}, {"start": 2416.04, "end": 2416.7, "word": " strictly", "probability": 0.87548828125}, {"start": 2416.7, "end": 2417.16, "word": " أصغر", "probability": 0.9844970703125}, {"start": 2417.16, "end": 2417.36, "word": " من", "probability": 0.99169921875}, {"start": 2417.36, "end": 2417.82, "word": " مين", "probability": 0.629150390625}, {"start": 2417.82, "end": 2418.6, "word": " من", "probability": 0.78857421875}, {"start": 2418.6, "end": 2419.06, "word": " E", "probability": 0.916015625}, {"start": 2419.06, "end": 2419.74, "word": " of", "probability": 0.8505859375}, {"start": 2419.74, "end": 2420.14, "word": " X", "probability": 0.9833984375}, {"start": 2420.14, "end": 2420.82, "word": " من", "probability": 0.689453125}, {"start": 2420.82, "end": 2421.28, "word": " E", "probability": 0.9833984375}, {"start": 2421.28, "end": 2422.04, "word": " of", "probability": 0.912109375}, {"start": 2422.04, "end": 2422.46, "word": " X", "probability": 0.99755859375}, {"start": 2422.46, "end": 2423.34, "word": " ان", "probability": 0.48681640625}, {"start": 2423.34, "end": 2423.64, "word": " ان", "probability": 0.2392578125}], "temperature": 1.0}, {"id": 109, "seek": 245339, "start": 2426.07, "end": 2453.39, "text": "عندي اللي هي أربعة أربعة عشان تشوف أيش أربعة الأربعة اللي هي ال E prime of X أظن هيك كنا حاكين ال E الناس في ال E of X عندي E", "tokens": [3615, 1863, 16254, 13672, 1829, 39896, 5551, 25513, 27884, 5551, 25513, 27884, 6225, 8592, 7649, 6055, 8592, 38688, 36632, 8592, 5551, 25513, 27884, 16247, 25513, 27884, 13672, 1829, 39896, 2423, 462, 5835, 295, 1783, 5551, 19913, 1863, 39896, 4117, 9122, 8315, 11331, 995, 4117, 9957, 2423, 462, 2423, 8315, 3794, 8978, 2423, 462, 295, 1783, 18871, 16254, 462], "avg_logprob": -0.2672139739586135, "compression_ratio": 1.6015625, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 2426.0699999999997, "end": 2426.95, "word": "عندي", "probability": 0.8487955729166666}, {"start": 2426.95, "end": 2427.33, "word": " اللي", "probability": 0.69384765625}, {"start": 2427.33, "end": 2427.69, "word": " هي", "probability": 0.90625}, {"start": 2427.69, "end": 2428.43, "word": " أربعة", "probability": 0.8089192708333334}, {"start": 2428.43, "end": 2431.17, "word": " أربعة", "probability": 0.80517578125}, {"start": 2431.17, "end": 2432.21, "word": " عشان", "probability": 0.9651692708333334}, {"start": 2432.21, "end": 2432.65, "word": " تشوف", "probability": 0.9939778645833334}, {"start": 2432.65, "end": 2432.91, "word": " أيش", "probability": 0.6373291015625}, {"start": 2432.91, "end": 2433.51, "word": " أربعة", "probability": 0.9619140625}, {"start": 2433.51, "end": 2435.35, "word": " الأربعة", "probability": 0.8693033854166666}, {"start": 2435.35, "end": 2436.85, "word": " اللي", "probability": 0.894775390625}, {"start": 2436.85, "end": 2437.39, "word": " هي", "probability": 0.90673828125}, {"start": 2437.39, "end": 2437.57, "word": " ال", "probability": 0.5859375}, {"start": 2437.57, "end": 2437.71, "word": " E", "probability": 0.447509765625}, {"start": 2437.71, "end": 2438.09, "word": " prime", "probability": 0.50830078125}, {"start": 2438.09, "end": 2438.31, "word": " of", "probability": 0.96826171875}, {"start": 2438.31, "end": 2438.71, "word": " X", "probability": 0.92919921875}, {"start": 2438.71, "end": 2439.19, "word": " أظن", "probability": 0.87158203125}, {"start": 2439.19, "end": 2439.97, "word": " هيك", "probability": 0.830322265625}, {"start": 2439.97, "end": 2440.55, "word": " كنا", "probability": 0.82861328125}, {"start": 2440.55, "end": 2441.43, "word": " حاكين", "probability": 0.7889404296875}, {"start": 2441.43, "end": 2441.85, "word": " ال", "probability": 0.6025390625}, {"start": 2441.85, "end": 2442.01, "word": " E", "probability": 0.96875}, {"start": 2442.01, "end": 2442.43, "word": " الناس", "probability": 0.7178141276041666}, {"start": 2442.43, "end": 2442.57, "word": " في", "probability": 0.5517578125}, {"start": 2442.57, "end": 2442.69, "word": " ال", "probability": 0.85498046875}, {"start": 2442.69, "end": 2442.73, "word": " E", "probability": 0.7421875}, {"start": 2442.73, "end": 2442.87, "word": " of", "probability": 0.13232421875}, {"start": 2442.87, "end": 2443.37, "word": " X", "probability": 0.9912109375}, {"start": 2443.37, "end": 2451.59, "word": " عندي", "probability": 0.751220703125}, {"start": 2451.59, "end": 2453.39, "word": " E", "probability": 0.90234375}], "temperature": 1.0}, {"id": 110, "seek": 245662, "start": 2455.38, "end": 2456.62, "text": "انا of X", "tokens": [7649, 995, 295, 1783], "avg_logprob": -0.60625, "compression_ratio": 0.5789473684210527, "no_speech_prob": 0.0, "words": [{"start": 2455.38, "end": 2455.9, "word": "انا", "probability": 0.633056640625}, {"start": 2455.9, "end": 2456.16, "word": " of", "probability": 0.4091796875}, {"start": 2456.16, "end": 2456.62, "word": " X", "probability": 0.61279296875}], "temperature": 1.0}, {"id": 111, "seek": 248501, "start": 2458.79, "end": 2485.01, "text": "أقبى أو أصغر strictly من E N زائد واحد of X لكل X أكبر من مين من صفر ليه؟ لأن هذه هيزيد عليها term اللي هو X أسوان زائد واحد على N زائد واحد فكتوريا وهذا ال term الاكساتي اللي أكبر من صفر أشماله اللي هو مودة إذا صارت ال sequence اللي عندي يا جماعة هذه عبارة عن strictly increasing", "tokens": [10721, 4587, 3555, 7578, 34051, 5551, 9381, 17082, 2288, 20792, 9154, 462, 426, 30767, 16373, 3215, 36764, 24401, 295, 1783, 5296, 28820, 1783, 5551, 4117, 26890, 9154, 3714, 9957, 9154, 20328, 5172, 2288, 32239, 3224, 22807, 5296, 33456, 29538, 39896, 11622, 25708, 25894, 11296, 1433, 13672, 1829, 31439, 1783, 5551, 3794, 2407, 7649, 30767, 16373, 3215, 36764, 24401, 15844, 426, 30767, 16373, 3215, 36764, 24401, 6156, 4117, 2655, 13063, 25528, 37037, 15730, 2423, 1433, 42963, 4117, 3794, 9307, 1829, 13672, 1829, 5551, 4117, 26890, 9154, 20328, 5172, 2288, 5551, 8592, 2304, 6027, 3224, 13672, 1829, 31439, 3714, 23328, 3660, 11933, 15730, 20328, 9640, 2655, 2423, 8310, 13672, 1829, 18871, 16254, 35186, 10874, 15042, 27884, 29538, 6225, 3555, 9640, 3660, 18871, 20792, 5662], "avg_logprob": -0.27464431039686127, "compression_ratio": 1.804, "no_speech_prob": 1.3113021850585938e-06, "words": [{"start": 2458.79, "end": 2459.45, "word": "أقبى", "probability": 0.64398193359375}, {"start": 2459.45, "end": 2459.65, "word": " أو", "probability": 0.60791015625}, {"start": 2459.65, "end": 2460.07, "word": " أصغر", "probability": 0.9671630859375}, {"start": 2460.07, "end": 2460.75, "word": " strictly", "probability": 0.6865234375}, {"start": 2460.75, "end": 2461.89, "word": " من", "probability": 0.943359375}, {"start": 2461.89, "end": 2462.15, "word": " E", "probability": 0.27880859375}, {"start": 2462.15, "end": 2462.41, "word": " N", "probability": 0.27099609375}, {"start": 2462.41, "end": 2463.03, "word": " زائد", "probability": 0.7224934895833334}, {"start": 2463.03, "end": 2463.53, "word": " واحد", "probability": 0.953369140625}, {"start": 2463.53, "end": 2463.75, "word": " of", "probability": 0.74072265625}, {"start": 2463.75, "end": 2464.07, "word": " X", "probability": 0.9482421875}, {"start": 2464.07, "end": 2465.01, "word": " لكل", "probability": 0.925048828125}, {"start": 2465.01, "end": 2465.35, "word": " X", "probability": 0.97998046875}, {"start": 2465.35, "end": 2465.73, "word": " أكبر", "probability": 0.9519856770833334}, {"start": 2465.73, "end": 2465.97, "word": " من", "probability": 0.99365234375}, {"start": 2465.97, "end": 2466.33, "word": " مين", "probability": 0.5985107421875}, {"start": 2466.33, "end": 2466.73, "word": " من", "probability": 0.9775390625}, {"start": 2466.73, "end": 2467.09, "word": " صفر", "probability": 0.7640787760416666}, {"start": 2467.09, "end": 2468.13, "word": " ليه؟", "probability": 0.5018717447916666}, {"start": 2468.13, "end": 2468.55, "word": " لأن", "probability": 0.88134765625}, {"start": 2468.55, "end": 2469.35, "word": " هذه", "probability": 0.449462890625}, {"start": 2469.35, "end": 2469.85, "word": " هيزيد", "probability": 0.7295735677083334}, {"start": 2469.85, "end": 2470.23, "word": " عليها", "probability": 0.9873046875}, {"start": 2470.23, "end": 2470.51, "word": " term", "probability": 0.8037109375}, {"start": 2470.51, "end": 2470.67, "word": " اللي", "probability": 0.612548828125}, {"start": 2470.67, "end": 2470.81, "word": " هو", "probability": 0.93212890625}, {"start": 2470.81, "end": 2471.07, "word": " X", "probability": 0.89599609375}, {"start": 2471.07, "end": 2471.29, "word": " أسوان", "probability": 0.4901275634765625}, {"start": 2471.29, "end": 2471.63, "word": " زائد", "probability": 0.96826171875}, {"start": 2471.63, "end": 2472.01, "word": " واحد", "probability": 0.98974609375}, {"start": 2472.01, "end": 2472.21, "word": " على", "probability": 0.6484375}, {"start": 2472.21, "end": 2472.37, "word": " N", "probability": 0.90234375}, {"start": 2472.37, "end": 2472.63, "word": " زائد", "probability": 0.9620768229166666}, {"start": 2472.63, "end": 2472.83, "word": " واحد", "probability": 0.98828125}, {"start": 2472.83, "end": 2473.37, "word": " فكتوريا", "probability": 0.717333984375}, {"start": 2473.37, "end": 2474.11, "word": " وهذا", "probability": 0.788818359375}, {"start": 2474.11, "end": 2474.27, "word": " ال", "probability": 0.880859375}, {"start": 2474.27, "end": 2474.51, "word": " term", "probability": 0.51806640625}, {"start": 2474.51, "end": 2475.15, "word": " الاكساتي", "probability": 0.76396484375}, {"start": 2475.15, "end": 2475.21, "word": " اللي", "probability": 0.6861572265625}, {"start": 2475.21, "end": 2475.47, "word": " أكبر", "probability": 0.9352213541666666}, {"start": 2475.47, "end": 2475.63, "word": " من", "probability": 0.99267578125}, {"start": 2475.63, "end": 2475.91, "word": " صفر", "probability": 0.9666341145833334}, {"start": 2475.91, "end": 2476.61, "word": " أشماله", "probability": 0.7476318359375}, {"start": 2476.61, "end": 2477.25, "word": " اللي", "probability": 0.941650390625}, {"start": 2477.25, "end": 2477.43, "word": " هو", "probability": 0.98828125}, {"start": 2477.43, "end": 2477.79, "word": " مودة", "probability": 0.5323893229166666}, {"start": 2477.79, "end": 2478.31, "word": " إذا", "probability": 0.753173828125}, {"start": 2478.31, "end": 2478.77, "word": " صارت", "probability": 0.8492838541666666}, {"start": 2478.77, "end": 2478.93, "word": " ال", "probability": 0.875}, {"start": 2478.93, "end": 2479.53, "word": " sequence", "probability": 0.9267578125}, {"start": 2479.53, "end": 2479.81, "word": " اللي", "probability": 0.97607421875}, {"start": 2479.81, "end": 2480.23, "word": " عندي", "probability": 0.760009765625}, {"start": 2480.23, "end": 2480.37, "word": " يا", "probability": 0.970703125}, {"start": 2480.37, "end": 2480.85, "word": " جماعة", "probability": 0.9954427083333334}, {"start": 2480.85, "end": 2481.31, "word": " هذه", "probability": 0.7314453125}, {"start": 2481.31, "end": 2482.49, "word": " عبارة", "probability": 0.9976806640625}, {"start": 2482.49, "end": 2482.91, "word": " عن", "probability": 0.99560546875}, {"start": 2482.91, "end": 2483.97, "word": " strictly", "probability": 0.9443359375}, {"start": 2483.97, "end": 2485.01, "word": " increasing", "probability": 0.97705078125}], "temperature": 1.0}, {"id": 112, "seek": 251430, "start": 2485.68, "end": 2514.3, "text": "sequence strictly increasing sequence بناءً عليه هيكون عند E1 of X أصغر strictly من E2 of X وهذا أصغر strictly من E N of X لكل N أكبر أو يساوي تلاتة وال X أشمالها أكبر من سفر ماشي الحال طيب E1 of X مين هي؟ واحد زاد X", "tokens": [11834, 655, 20792, 5662, 8310, 44945, 16606, 14111, 47356, 39896, 30544, 43242, 462, 16, 295, 1783, 5551, 9381, 17082, 2288, 20792, 9154, 462, 17, 295, 1783, 37037, 15730, 5551, 9381, 17082, 2288, 20792, 9154, 462, 426, 295, 1783, 5296, 28820, 426, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 6055, 1211, 9307, 3660, 16070, 1783, 5551, 8592, 2304, 6027, 11296, 5551, 4117, 26890, 9154, 8608, 5172, 2288, 3714, 33599, 1829, 21542, 6027, 23032, 1829, 3555, 462, 16, 295, 1783, 3714, 9957, 39896, 22807, 36764, 24401, 30767, 18513, 1783], "avg_logprob": -0.22349016719989562, "compression_ratio": 1.5445544554455446, "no_speech_prob": 1.728534698486328e-05, "words": [{"start": 2485.68, "end": 2486.4, "word": "sequence", "probability": 0.5484619140625}, {"start": 2486.4, "end": 2486.92, "word": " strictly", "probability": 0.5654296875}, {"start": 2486.92, "end": 2487.6, "word": " increasing", "probability": 0.90185546875}, {"start": 2487.6, "end": 2488.24, "word": " sequence", "probability": 0.9580078125}, {"start": 2488.24, "end": 2488.8, "word": " بناءً", "probability": 0.6352945963541666}, {"start": 2488.8, "end": 2489.12, "word": " عليه", "probability": 0.9228515625}, {"start": 2489.12, "end": 2490.1, "word": " هيكون", "probability": 0.73828125}, {"start": 2490.1, "end": 2490.4, "word": " عند", "probability": 0.92333984375}, {"start": 2490.4, "end": 2491.28, "word": " E1", "probability": 0.37860107421875}, {"start": 2491.28, "end": 2491.72, "word": " of", "probability": 0.677734375}, {"start": 2491.72, "end": 2492.14, "word": " X", "probability": 0.94677734375}, {"start": 2492.14, "end": 2493.22, "word": " أصغر", "probability": 0.9681396484375}, {"start": 2493.22, "end": 2493.84, "word": " strictly", "probability": 0.9111328125}, {"start": 2493.84, "end": 2494.16, "word": " من", "probability": 0.990234375}, {"start": 2494.16, "end": 2494.74, "word": " E2", "probability": 0.9775390625}, {"start": 2494.74, "end": 2495.12, "word": " of", "probability": 0.96533203125}, {"start": 2495.12, "end": 2495.54, "word": " X", "probability": 0.99462890625}, {"start": 2495.54, "end": 2496.24, "word": " وهذا", "probability": 0.843994140625}, {"start": 2496.24, "end": 2496.66, "word": " أصغر", "probability": 0.986328125}, {"start": 2496.66, "end": 2497.28, "word": " strictly", "probability": 0.97607421875}, {"start": 2497.28, "end": 2497.72, "word": " من", "probability": 0.9931640625}, {"start": 2497.72, "end": 2498.26, "word": " E", "probability": 0.9091796875}, {"start": 2498.26, "end": 2498.7, "word": " N", "probability": 0.339599609375}, {"start": 2498.7, "end": 2499.06, "word": " of", "probability": 0.955078125}, {"start": 2499.06, "end": 2499.5, "word": " X", "probability": 0.99755859375}, {"start": 2499.5, "end": 2500.46, "word": " لكل", "probability": 0.9736328125}, {"start": 2500.46, "end": 2500.86, "word": " N", "probability": 0.91748046875}, {"start": 2500.86, "end": 2501.34, "word": " أكبر", "probability": 0.947265625}, {"start": 2501.34, "end": 2501.52, "word": " أو", "probability": 0.82470703125}, {"start": 2501.52, "end": 2502.02, "word": " يساوي", "probability": 0.92822265625}, {"start": 2502.02, "end": 2503.52, "word": " تلاتة", "probability": 0.80450439453125}, {"start": 2503.52, "end": 2504.12, "word": " وال", "probability": 0.346923828125}, {"start": 2504.12, "end": 2504.46, "word": " X", "probability": 0.51171875}, {"start": 2504.46, "end": 2505.34, "word": " أشمالها", "probability": 0.894140625}, {"start": 2505.34, "end": 2506.1, "word": " أكبر", "probability": 0.9640299479166666}, {"start": 2506.1, "end": 2506.38, "word": " من", "probability": 0.9970703125}, {"start": 2506.38, "end": 2506.76, "word": " سفر", "probability": 0.7099609375}, {"start": 2506.76, "end": 2507.48, "word": " ماشي", "probability": 0.85693359375}, {"start": 2507.48, "end": 2507.84, "word": " الحال", "probability": 0.9541015625}, {"start": 2507.84, "end": 2509.52, "word": " طيب", "probability": 0.7723795572916666}, {"start": 2509.52, "end": 2511.44, "word": " E1", "probability": 0.924560546875}, {"start": 2511.44, "end": 2511.6, "word": " of", "probability": 0.95263671875}, {"start": 2511.6, "end": 2511.78, "word": " X", "probability": 0.98876953125}, {"start": 2511.78, "end": 2512.04, "word": " مين", "probability": 0.909912109375}, {"start": 2512.04, "end": 2512.58, "word": " هي؟", "probability": 0.6602783203125}, {"start": 2512.58, "end": 2513.6, "word": " واحد", "probability": 0.70947265625}, {"start": 2513.6, "end": 2513.98, "word": " زاد", "probability": 0.92626953125}, {"start": 2513.98, "end": 2514.3, "word": " X", "probability": 0.94287109375}], "temperature": 1.0}, {"id": 113, "seek": 253842, "start": 2515.03, "end": 2538.43, "text": "وهذا أصغر من E2 of X وهذا أصغر من E N of X إذا نخد ال limit لكل الجهات as N goes to infinity وهذا independent of N وهذا independent of N إذا سيصبح أصغر أو يساوي limit E N of X as N goes to infinity", "tokens": [2407, 3224, 15730, 5551, 9381, 17082, 2288, 9154, 462, 17, 295, 1783, 37037, 15730, 5551, 9381, 17082, 2288, 9154, 462, 426, 295, 1783, 11933, 15730, 8717, 9778, 3215, 2423, 4948, 5296, 28820, 25724, 3224, 9307, 382, 426, 1709, 281, 13202, 37037, 15730, 6695, 295, 426, 37037, 15730, 6695, 295, 426, 11933, 15730, 8608, 1829, 9381, 49628, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 4948, 462, 426, 295, 1783, 382, 426, 1709, 281, 13202], "avg_logprob": -0.2925575661816095, "compression_ratio": 1.6948051948051948, "no_speech_prob": 1.1324882507324219e-06, "words": [{"start": 2515.03, "end": 2515.51, "word": "وهذا", "probability": 0.77880859375}, {"start": 2515.51, "end": 2516.31, "word": " أصغر", "probability": 0.942626953125}, {"start": 2516.31, "end": 2518.53, "word": " من", "probability": 0.90625}, {"start": 2518.53, "end": 2519.95, "word": " E2", "probability": 0.458251953125}, {"start": 2519.95, "end": 2520.25, "word": " of", "probability": 0.26953125}, {"start": 2520.25, "end": 2520.65, "word": " X", "probability": 0.9462890625}, {"start": 2520.65, "end": 2522.17, "word": " وهذا", "probability": 0.68212890625}, {"start": 2522.17, "end": 2523.77, "word": " أصغر", "probability": 0.87030029296875}, {"start": 2523.77, "end": 2523.97, "word": " من", "probability": 0.9921875}, {"start": 2523.97, "end": 2524.19, "word": " E", "probability": 0.61962890625}, {"start": 2524.19, "end": 2524.35, "word": " N", "probability": 0.17041015625}, {"start": 2524.35, "end": 2524.51, "word": " of", "probability": 0.916015625}, {"start": 2524.51, "end": 2524.95, "word": " X", "probability": 0.99755859375}, {"start": 2524.95, "end": 2525.77, "word": " إذا", "probability": 0.62841796875}, {"start": 2525.77, "end": 2526.25, "word": " نخد", "probability": 0.4480387369791667}, {"start": 2526.25, "end": 2526.43, "word": " ال", "probability": 0.2705078125}, {"start": 2526.43, "end": 2526.81, "word": " limit", "probability": 0.257080078125}, {"start": 2526.81, "end": 2527.25, "word": " لكل", "probability": 0.8203125}, {"start": 2527.25, "end": 2527.71, "word": " الجهات", "probability": 0.87255859375}, {"start": 2527.71, "end": 2527.99, "word": " as", "probability": 0.7958984375}, {"start": 2527.99, "end": 2528.17, "word": " N", "probability": 0.85400390625}, {"start": 2528.17, "end": 2528.41, "word": " goes", "probability": 0.869140625}, {"start": 2528.41, "end": 2528.59, "word": " to", "probability": 0.94140625}, {"start": 2528.59, "end": 2528.99, "word": " infinity", "probability": 0.75927734375}, {"start": 2528.99, "end": 2529.33, "word": " وهذا", "probability": 0.701904296875}, {"start": 2529.33, "end": 2529.81, "word": " independent", "probability": 0.71142578125}, {"start": 2529.81, "end": 2530.21, "word": " of", "probability": 0.85205078125}, {"start": 2530.21, "end": 2530.41, "word": " N", "probability": 0.970703125}, {"start": 2530.41, "end": 2530.67, "word": " وهذا", "probability": 0.832763671875}, {"start": 2530.67, "end": 2531.05, "word": " independent", "probability": 0.88671875}, {"start": 2531.05, "end": 2531.45, "word": " of", "probability": 0.9169921875}, {"start": 2531.45, "end": 2531.87, "word": " N", "probability": 0.97900390625}, {"start": 2531.87, "end": 2532.37, "word": " إذا", "probability": 0.79248046875}, {"start": 2532.37, "end": 2532.81, "word": " سيصبح", "probability": 0.71905517578125}, {"start": 2532.81, "end": 2533.27, "word": " أصغر", "probability": 0.9368896484375}, {"start": 2533.27, "end": 2533.41, "word": " أو", "probability": 0.896484375}, {"start": 2533.41, "end": 2533.99, "word": " يساوي", "probability": 0.8936767578125}, {"start": 2533.99, "end": 2534.89, "word": " limit", "probability": 0.9052734375}, {"start": 2534.89, "end": 2535.23, "word": " E", "probability": 0.86083984375}, {"start": 2535.23, "end": 2535.59, "word": " N", "probability": 0.826171875}, {"start": 2535.59, "end": 2536.01, "word": " of", "probability": 0.974609375}, {"start": 2536.01, "end": 2536.49, "word": " X", "probability": 0.99755859375}, {"start": 2536.49, "end": 2537.11, "word": " as", "probability": 0.92138671875}, {"start": 2537.11, "end": 2537.33, "word": " N", "probability": 0.97900390625}, {"start": 2537.33, "end": 2537.75, "word": " goes", "probability": 0.923828125}, {"start": 2537.75, "end": 2537.95, "word": " to", "probability": 0.95849609375}, {"start": 2537.95, "end": 2538.43, "word": " infinity", "probability": 0.82568359375}], "temperature": 1.0}, {"id": 114, "seek": 255498, "start": 2538.81, "end": 2554.99, "text": "و limit E n of X as n goes to infinity هو عبارة عن مين قلنا عنه E of X إذا صارت 1 زائد X strictly أصغر من E of X أو E of X أكبر strictly من 1 زائد X", "tokens": [2407, 4948, 462, 297, 295, 1783, 382, 297, 1709, 281, 13202, 31439, 6225, 3555, 9640, 3660, 18871, 3714, 9957, 12174, 1211, 8315, 18871, 3224, 462, 295, 1783, 11933, 15730, 20328, 9640, 2655, 502, 30767, 16373, 3215, 1783, 20792, 5551, 9381, 17082, 2288, 9154, 462, 295, 1783, 34051, 462, 295, 1783, 5551, 4117, 26890, 20792, 9154, 502, 30767, 16373, 3215, 1783], "avg_logprob": -0.19608094066870016, "compression_ratio": 1.3680555555555556, "no_speech_prob": 0.0, "words": [{"start": 2538.81, "end": 2539.01, "word": "و", "probability": 0.56640625}, {"start": 2539.01, "end": 2539.29, "word": " limit", "probability": 0.323486328125}, {"start": 2539.29, "end": 2539.51, "word": " E", "probability": 0.3212890625}, {"start": 2539.51, "end": 2539.69, "word": " n", "probability": 0.1290283203125}, {"start": 2539.69, "end": 2539.89, "word": " of", "probability": 0.76513671875}, {"start": 2539.89, "end": 2540.05, "word": " X", "probability": 0.5087890625}, {"start": 2540.05, "end": 2540.25, "word": " as", "probability": 0.916015625}, {"start": 2540.25, "end": 2540.43, "word": " n", "probability": 0.896484375}, {"start": 2540.43, "end": 2540.63, "word": " goes", "probability": 0.82373046875}, {"start": 2540.63, "end": 2540.79, "word": " to", "probability": 0.947265625}, {"start": 2540.79, "end": 2541.25, "word": " infinity", "probability": 0.830078125}, {"start": 2541.25, "end": 2541.57, "word": " هو", "probability": 0.9150390625}, {"start": 2541.57, "end": 2542.03, "word": " عبارة", "probability": 0.9859619140625}, {"start": 2542.03, "end": 2542.21, "word": " عن", "probability": 0.98876953125}, {"start": 2542.21, "end": 2542.39, "word": " مين", "probability": 0.654052734375}, {"start": 2542.39, "end": 2542.75, "word": " قلنا", "probability": 0.7529296875}, {"start": 2542.75, "end": 2543.29, "word": " عنه", "probability": 0.97412109375}, {"start": 2543.29, "end": 2544.13, "word": " E", "probability": 0.5888671875}, {"start": 2544.13, "end": 2544.97, "word": " of", "probability": 0.796875}, {"start": 2544.97, "end": 2545.35, "word": " X", "probability": 0.9931640625}, {"start": 2545.35, "end": 2545.87, "word": " إذا", "probability": 0.729736328125}, {"start": 2545.87, "end": 2546.35, "word": " صارت", "probability": 0.8577473958333334}, {"start": 2546.35, "end": 2546.65, "word": " 1", "probability": 0.6494140625}, {"start": 2546.65, "end": 2547.19, "word": " زائد", "probability": 0.7484537760416666}, {"start": 2547.19, "end": 2547.51, "word": " X", "probability": 0.9599609375}, {"start": 2547.51, "end": 2548.75, "word": " strictly", "probability": 0.9150390625}, {"start": 2548.75, "end": 2549.47, "word": " أصغر", "probability": 0.9833984375}, {"start": 2549.47, "end": 2549.65, "word": " من", "probability": 0.98583984375}, {"start": 2549.65, "end": 2549.81, "word": " E", "probability": 0.98486328125}, {"start": 2549.81, "end": 2550.01, "word": " of", "probability": 0.92529296875}, {"start": 2550.01, "end": 2550.33, "word": " X", "probability": 0.998046875}, {"start": 2550.33, "end": 2550.89, "word": " أو", "probability": 0.890625}, {"start": 2550.89, "end": 2551.17, "word": " E", "probability": 0.61572265625}, {"start": 2551.17, "end": 2551.35, "word": " of", "probability": 0.92822265625}, {"start": 2551.35, "end": 2551.61, "word": " X", "probability": 0.9970703125}, {"start": 2551.61, "end": 2552.03, "word": " أكبر", "probability": 0.9791666666666666}, {"start": 2552.03, "end": 2552.51, "word": " strictly", "probability": 0.79443359375}, {"start": 2552.51, "end": 2552.77, "word": " من", "probability": 0.9951171875}, {"start": 2552.77, "end": 2553.17, "word": " 1", "probability": 0.92919921875}, {"start": 2553.17, "end": 2554.53, "word": " زائد", "probability": 0.9384765625}, {"start": 2554.53, "end": 2554.99, "word": " X", "probability": 0.994140625}], "temperature": 1.0}, {"id": 115, "seek": 257885, "start": 2556.39, "end": 2578.85, "text": "طيب نيجي اللي هو نثبت الـ uniqueness للدالة اللي أثبتنا وجودها الآن إذا أثبتنا وجود دالة سميناها E of X هذه الدالة تحقق الشرطين اللي قلناهن اللي هو E of E prime", "tokens": [9566, 1829, 3555, 8717, 1829, 7435, 1829, 13672, 1829, 31439, 8717, 12984, 3555, 2655, 2423, 39184, 48294, 24976, 3215, 6027, 3660, 13672, 1829, 5551, 12984, 3555, 2655, 8315, 49610, 23328, 11296, 6024, 48506, 11933, 15730, 5551, 12984, 3555, 2655, 8315, 49610, 23328, 11778, 6027, 3660, 8608, 2304, 1829, 8315, 11296, 462, 295, 1783, 29538, 32748, 6027, 3660, 6055, 5016, 4587, 4587, 25124, 2288, 9566, 9957, 13672, 1829, 12174, 1211, 8315, 3224, 1863, 13672, 1829, 31439, 462, 295, 462, 5835], "avg_logprob": -0.16923827808350325, "compression_ratio": 1.6729559748427674, "no_speech_prob": 9.5367431640625e-07, "words": [{"start": 2556.39, "end": 2556.85, "word": "طيب", "probability": 0.78564453125}, {"start": 2556.85, "end": 2558.07, "word": " نيجي", "probability": 0.7646484375}, {"start": 2558.07, "end": 2558.37, "word": " اللي", "probability": 0.78662109375}, {"start": 2558.37, "end": 2558.77, "word": " هو", "probability": 0.986328125}, {"start": 2558.77, "end": 2559.85, "word": " نثبت", "probability": 0.9822998046875}, {"start": 2559.85, "end": 2560.09, "word": " الـ", "probability": 0.651123046875}, {"start": 2560.09, "end": 2560.61, "word": " uniqueness", "probability": 0.91943359375}, {"start": 2560.61, "end": 2562.63, "word": " للدالة", "probability": 0.79937744140625}, {"start": 2562.63, "end": 2563.05, "word": " اللي", "probability": 0.880859375}, {"start": 2563.05, "end": 2563.67, "word": " أثبتنا", "probability": 0.9759765625}, {"start": 2563.67, "end": 2564.23, "word": " وجودها", "probability": 0.9912109375}, {"start": 2564.23, "end": 2564.99, "word": " الآن", "probability": 0.6273193359375}, {"start": 2564.99, "end": 2565.31, "word": " إذا", "probability": 0.8623046875}, {"start": 2565.31, "end": 2566.07, "word": " أثبتنا", "probability": 0.91484375}, {"start": 2566.07, "end": 2566.55, "word": " وجود", "probability": 0.99072265625}, {"start": 2566.55, "end": 2567.25, "word": " دالة", "probability": 0.9772135416666666}, {"start": 2567.25, "end": 2567.99, "word": " سميناها", "probability": 0.7748046875}, {"start": 2567.99, "end": 2568.13, "word": " E", "probability": 0.92236328125}, {"start": 2568.13, "end": 2568.29, "word": " of", "probability": 0.658203125}, {"start": 2568.29, "end": 2568.61, "word": " X", "probability": 0.990234375}, {"start": 2568.61, "end": 2569.27, "word": " هذه", "probability": 0.5341796875}, {"start": 2569.27, "end": 2570.03, "word": " الدالة", "probability": 0.9855143229166666}, {"start": 2570.03, "end": 2571.29, "word": " تحقق", "probability": 0.9747314453125}, {"start": 2571.29, "end": 2572.21, "word": " الشرطين", "probability": 0.91796875}, {"start": 2572.21, "end": 2572.43, "word": " اللي", "probability": 0.98779296875}, {"start": 2572.43, "end": 2573.43, "word": " قلناهن", "probability": 0.77998046875}, {"start": 2573.43, "end": 2574.15, "word": " اللي", "probability": 0.894287109375}, {"start": 2574.15, "end": 2574.59, "word": " هو", "probability": 0.97314453125}, {"start": 2574.59, "end": 2575.37, "word": " E", "probability": 0.9765625}, {"start": 2575.37, "end": 2576.65, "word": " of", "probability": 0.93017578125}, {"start": 2576.65, "end": 2578.33, "word": " E", "probability": 0.9423828125}, {"start": 2578.33, "end": 2578.85, "word": " prime", "probability": 0.452880859375}], "temperature": 1.0}, {"id": 116, "seek": 259739, "start": 2579.83, "end": 2597.39, "text": "of X بساوي E of X لكل X element in R الشرط الأول والشرط التاني اللي هو E of Zero بتساوي إياش واحد الآن هذه الشرط ده اللي أكبرنا وجودها لنتبت إنها إياش وحيدة", "tokens": [2670, 1783, 4724, 3794, 995, 45865, 462, 295, 1783, 5296, 28820, 1783, 4478, 294, 497, 25124, 2288, 9566, 16247, 12610, 16070, 8592, 2288, 9566, 16712, 7649, 1829, 13672, 1829, 31439, 462, 295, 17182, 39894, 3794, 995, 45865, 11933, 1829, 33599, 36764, 24401, 6024, 48506, 29538, 25124, 2288, 9566, 11778, 3224, 13672, 1829, 5551, 4117, 26890, 8315, 49610, 23328, 11296, 5296, 29399, 3555, 2655, 36145, 11296, 11933, 1829, 33599, 4032, 5016, 25708, 3660], "avg_logprob": -0.27204624594074406, "compression_ratio": 1.5974842767295598, "no_speech_prob": 6.288290023803711e-05, "words": [{"start": 2579.83, "end": 2580.17, "word": "of", "probability": 0.1689453125}, {"start": 2580.17, "end": 2580.63, "word": " X", "probability": 0.51220703125}, {"start": 2580.63, "end": 2581.39, "word": " بساوي", "probability": 0.5455169677734375}, {"start": 2581.39, "end": 2581.91, "word": " E", "probability": 0.91259765625}, {"start": 2581.91, "end": 2582.79, "word": " of", "probability": 0.86083984375}, {"start": 2582.79, "end": 2583.31, "word": " X", "probability": 0.9951171875}, {"start": 2583.31, "end": 2583.85, "word": " لكل", "probability": 0.956787109375}, {"start": 2583.85, "end": 2584.11, "word": " X", "probability": 0.970703125}, {"start": 2584.11, "end": 2584.43, "word": " element", "probability": 0.73193359375}, {"start": 2584.43, "end": 2584.71, "word": " in", "probability": 0.9072265625}, {"start": 2584.71, "end": 2585.07, "word": " R", "probability": 0.99658203125}, {"start": 2585.07, "end": 2585.81, "word": " الشرط", "probability": 0.7716471354166666}, {"start": 2585.81, "end": 2586.41, "word": " الأول", "probability": 0.95556640625}, {"start": 2586.41, "end": 2587.43, "word": " والشرط", "probability": 0.798583984375}, {"start": 2587.43, "end": 2588.07, "word": " التاني", "probability": 0.9453125}, {"start": 2588.07, "end": 2588.31, "word": " اللي", "probability": 0.787841796875}, {"start": 2588.31, "end": 2588.63, "word": " هو", "probability": 0.9716796875}, {"start": 2588.63, "end": 2589.69, "word": " E", "probability": 0.978515625}, {"start": 2589.69, "end": 2590.29, "word": " of", "probability": 0.93603515625}, {"start": 2590.29, "end": 2590.91, "word": " Zero", "probability": 0.58251953125}, {"start": 2590.91, "end": 2591.95, "word": " بتساوي", "probability": 0.908447265625}, {"start": 2591.95, "end": 2592.47, "word": " إياش", "probability": 0.5948893229166666}, {"start": 2592.47, "end": 2593.19, "word": " واحد", "probability": 0.948486328125}, {"start": 2593.19, "end": 2594.07, "word": " الآن", "probability": 0.5960693359375}, {"start": 2594.07, "end": 2594.35, "word": " هذه", "probability": 0.4990234375}, {"start": 2594.35, "end": 2594.71, "word": " الشرط", "probability": 0.8995768229166666}, {"start": 2594.71, "end": 2595.05, "word": " ده", "probability": 0.3223876953125}, {"start": 2595.05, "end": 2595.15, "word": " اللي", "probability": 0.789794921875}, {"start": 2595.15, "end": 2595.61, "word": " أكبرنا", "probability": 0.749755859375}, {"start": 2595.61, "end": 2595.99, "word": " وجودها", "probability": 0.93310546875}, {"start": 2595.99, "end": 2596.43, "word": " لنتبت", "probability": 0.666015625}, {"start": 2596.43, "end": 2596.67, "word": " إنها", "probability": 0.795654296875}, {"start": 2596.67, "end": 2596.91, "word": " إياش", "probability": 0.96337890625}, {"start": 2596.91, "end": 2597.39, "word": " وحيدة", "probability": 0.8861083984375}], "temperature": 1.0}, {"id": 117, "seek": 262326, "start": 2597.7, "end": 2623.26, "text": "الأن الـ function E من R لـ R that satisfies I and I I هكذا of theorem 8.3.1 is unique إذا ما لها هذه الدالة وحيدة ونشوف كيف نثبت وحيدة طبعا انتوا عارفين ال .. الاستراتيجية تثبت انها وحيدة ونفترض ان في دالتين وفي الآخر يا بنسأل لتناقض أو بنسأل لإن الدالتين إشمالهم متساويتين خلينا نشوف", "tokens": [6027, 33456, 2423, 39184, 2445, 462, 9154, 497, 5296, 39184, 497, 300, 44271, 286, 293, 286, 286, 8032, 4117, 15730, 295, 20904, 1649, 13, 18, 13, 16, 307, 3845, 11933, 15730, 19446, 5296, 11296, 29538, 32748, 6027, 3660, 4032, 5016, 25708, 3660, 4032, 1863, 8592, 38688, 9122, 33911, 8717, 12984, 3555, 2655, 4032, 5016, 25708, 3660, 23032, 3555, 3615, 995, 16472, 2655, 14407, 6225, 9640, 5172, 9957, 2423, 4386, 42963, 14851, 2288, 9307, 1829, 7435, 10632, 6055, 12984, 3555, 2655, 16472, 11296, 4032, 5016, 25708, 3660, 4032, 1863, 5172, 2655, 43042, 16472, 8978, 11778, 6027, 2655, 9957, 4032, 41185, 6024, 95, 34740, 35186, 44945, 3794, 10721, 1211, 5296, 2655, 8315, 4587, 11242, 34051, 44945, 3794, 10721, 1211, 5296, 28814, 1863, 32748, 6027, 2655, 9957, 11933, 8592, 2304, 6027, 16095, 44650, 3794, 995, 45865, 2655, 9957, 16490, 20292, 8315, 8717, 8592, 38688], "avg_logprob": -0.23327465460334026, "compression_ratio": 1.6763636363636363, "no_speech_prob": 9.5367431640625e-07, "words": [{"start": 2597.7, "end": 2598.22, "word": "الأن", "probability": 0.47998046875}, {"start": 2598.22, "end": 2598.38, "word": " الـ", "probability": 0.56494140625}, {"start": 2598.38, "end": 2598.82, "word": " function", "probability": 0.6044921875}, {"start": 2598.82, "end": 2599.18, "word": " E", "probability": 0.54443359375}, {"start": 2599.18, "end": 2599.36, "word": " من", "probability": 0.92041015625}, {"start": 2599.36, "end": 2599.64, "word": " R", "probability": 0.9375}, {"start": 2599.64, "end": 2599.82, "word": " لـ", "probability": 0.6611328125}, {"start": 2599.82, "end": 2600.04, "word": " R", "probability": 0.83251953125}, {"start": 2600.04, "end": 2600.6, "word": " that", "probability": 0.35888671875}, {"start": 2600.6, "end": 2602.02, "word": " satisfies", "probability": 0.87939453125}, {"start": 2602.02, "end": 2602.56, "word": " I", "probability": 0.8642578125}, {"start": 2602.56, "end": 2602.86, "word": " and", "probability": 0.89111328125}, {"start": 2602.86, "end": 2603.14, "word": " I", "probability": 0.55810546875}, {"start": 2603.14, "end": 2603.4, "word": " I", "probability": 0.58447265625}, {"start": 2603.4, "end": 2603.9, "word": " هكذا", "probability": 0.6376953125}, {"start": 2603.9, "end": 2604.66, "word": " of", "probability": 0.40771484375}, {"start": 2604.66, "end": 2605.1, "word": " theorem", "probability": 0.71044921875}, {"start": 2605.1, "end": 2605.36, "word": " 8", "probability": 0.6513671875}, {"start": 2605.36, "end": 2605.96, "word": ".3", "probability": 0.644287109375}, {"start": 2605.96, "end": 2606.68, "word": ".1", "probability": 0.993408203125}, {"start": 2606.68, "end": 2607.4, "word": " is", "probability": 0.77685546875}, {"start": 2607.4, "end": 2607.88, "word": " unique", "probability": 0.8740234375}, {"start": 2607.88, "end": 2608.18, "word": " إذا", "probability": 0.614013671875}, {"start": 2608.18, "end": 2608.38, "word": " ما", "probability": 0.87255859375}, {"start": 2608.38, "end": 2608.72, "word": " لها", "probability": 0.802978515625}, {"start": 2608.72, "end": 2609.2, "word": " هذه", "probability": 0.56005859375}, {"start": 2609.2, "end": 2609.86, "word": " الدالة", "probability": 0.9803059895833334}, {"start": 2609.86, "end": 2610.82, "word": " وحيدة", "probability": 0.877197265625}, {"start": 2610.82, "end": 2611.42, "word": " ونشوف", "probability": 0.8984375}, {"start": 2611.42, "end": 2611.7, "word": " كيف", "probability": 0.974609375}, {"start": 2611.7, "end": 2612.02, "word": " نثبت", "probability": 0.959228515625}, {"start": 2612.02, "end": 2612.38, "word": " وحيدة", "probability": 0.8995361328125}, {"start": 2612.38, "end": 2612.74, "word": " طبعا", "probability": 0.8875732421875}, {"start": 2612.74, "end": 2612.94, "word": " انتوا", "probability": 0.5287272135416666}, {"start": 2612.94, "end": 2613.32, "word": " عارفين", "probability": 0.954345703125}, {"start": 2613.32, "end": 2613.46, "word": " ال", "probability": 0.7509765625}, {"start": 2613.46, "end": 2613.62, "word": " ..", "probability": 0.272216796875}, {"start": 2613.62, "end": 2614.82, "word": " الاستراتيجية", "probability": 0.8883231026785714}, {"start": 2614.82, "end": 2615.22, "word": " تثبت", "probability": 0.9892578125}, {"start": 2615.22, "end": 2615.42, "word": " انها", "probability": 0.736083984375}, {"start": 2615.42, "end": 2615.76, "word": " وحيدة", "probability": 0.9658203125}, {"start": 2615.76, "end": 2616.14, "word": " ونفترض", "probability": 0.84765625}, {"start": 2616.14, "end": 2616.26, "word": " ان", "probability": 0.697265625}, {"start": 2616.26, "end": 2616.4, "word": " في", "probability": 0.82861328125}, {"start": 2616.4, "end": 2616.94, "word": " دالتين", "probability": 0.8677978515625}, {"start": 2616.94, "end": 2617.1, "word": " وفي", "probability": 0.8330078125}, {"start": 2617.1, "end": 2617.48, "word": " الآخر", "probability": 0.86474609375}, {"start": 2617.48, "end": 2617.94, "word": " يا", "probability": 0.58935546875}, {"start": 2617.94, "end": 2618.32, "word": " بنسأل", "probability": 0.76251220703125}, {"start": 2618.32, "end": 2618.84, "word": " لتناقض", "probability": 0.776953125}, {"start": 2618.84, "end": 2618.96, "word": " أو", "probability": 0.53955078125}, {"start": 2618.96, "end": 2619.34, "word": " بنسأل", "probability": 0.953125}, {"start": 2619.34, "end": 2619.6, "word": " لإن", "probability": 0.818359375}, {"start": 2619.6, "end": 2620.14, "word": " الدالتين", "probability": 0.976806640625}, {"start": 2620.14, "end": 2620.88, "word": " إشمالهم", "probability": 0.82177734375}, {"start": 2620.88, "end": 2622.56, "word": " متساويتين", "probability": 0.8912760416666666}, {"start": 2622.56, "end": 2623.0, "word": " خلينا", "probability": 0.8064778645833334}, {"start": 2623.0, "end": 2623.26, "word": " نشوف", "probability": 0.9982096354166666}], "temperature": 1.0}, {"id": 118, "seek": 264401, "start": 2627.01, "end": 2644.01, "text": "لأن let E1 and E2 be two functions on R ماشي الحال E1 وE2 عبارة عن دالتين من R لR تحقيقان البرو بارتز I and I I of T والمتمنى هو تلاتة واحد اللي كتبه ان انا على الجنب هناك", "tokens": [1211, 33456, 718, 462, 16, 293, 462, 17, 312, 732, 6828, 322, 497, 3714, 33599, 1829, 21542, 6027, 462, 16, 4032, 36, 17, 6225, 3555, 9640, 3660, 18871, 11778, 6027, 2655, 9957, 9154, 497, 5296, 49, 6055, 5016, 38436, 4587, 7649, 2423, 26890, 2407, 4724, 9640, 2655, 11622, 286, 293, 286, 286, 295, 314, 4032, 45340, 2655, 27842, 7578, 31439, 6055, 1211, 9307, 3660, 36764, 24401, 13672, 1829, 9122, 2655, 3555, 3224, 16472, 1975, 8315, 15844, 25724, 1863, 3555, 34105, 4117], "avg_logprob": -0.2945884193589048, "compression_ratio": 1.4184782608695652, "no_speech_prob": 2.86102294921875e-06, "words": [{"start": 2627.01, "end": 2627.65, "word": "لأن", "probability": 0.546875}, {"start": 2627.65, "end": 2628.25, "word": " let", "probability": 0.61962890625}, {"start": 2628.25, "end": 2628.67, "word": " E1", "probability": 0.84521484375}, {"start": 2628.67, "end": 2628.89, "word": " and", "probability": 0.135986328125}, {"start": 2628.89, "end": 2629.27, "word": " E2", "probability": 0.9951171875}, {"start": 2629.27, "end": 2629.47, "word": " be", "probability": 0.564453125}, {"start": 2629.47, "end": 2629.67, "word": " two", "probability": 0.91259765625}, {"start": 2629.67, "end": 2630.21, "word": " functions", "probability": 0.88720703125}, {"start": 2630.21, "end": 2630.85, "word": " on", "probability": 0.923828125}, {"start": 2630.85, "end": 2631.15, "word": " R", "probability": 0.9833984375}, {"start": 2631.15, "end": 2631.77, "word": " ماشي", "probability": 0.7166748046875}, {"start": 2631.77, "end": 2632.11, "word": " الحال", "probability": 0.956298828125}, {"start": 2632.11, "end": 2633.09, "word": " E1", "probability": 0.79931640625}, {"start": 2633.09, "end": 2633.63, "word": " وE2", "probability": 0.802978515625}, {"start": 2633.63, "end": 2634.01, "word": " عبارة", "probability": 0.9920654296875}, {"start": 2634.01, "end": 2634.19, "word": " عن", "probability": 0.98095703125}, {"start": 2634.19, "end": 2634.83, "word": " دالتين", "probability": 0.909912109375}, {"start": 2634.83, "end": 2635.71, "word": " من", "probability": 0.98046875}, {"start": 2635.71, "end": 2635.95, "word": " R", "probability": 0.96875}, {"start": 2635.95, "end": 2636.45, "word": " لR", "probability": 0.682861328125}, {"start": 2636.45, "end": 2638.09, "word": " تحقيقان", "probability": 0.91298828125}, {"start": 2638.09, "end": 2639.05, "word": " البرو", "probability": 0.6000162760416666}, {"start": 2639.05, "end": 2639.47, "word": " بارتز", "probability": 0.59600830078125}, {"start": 2639.47, "end": 2639.71, "word": " I", "probability": 0.93408203125}, {"start": 2639.71, "end": 2639.95, "word": " and", "probability": 0.84716796875}, {"start": 2639.95, "end": 2640.23, "word": " I", "probability": 0.63037109375}, {"start": 2640.23, "end": 2640.61, "word": " I", "probability": 0.51708984375}, {"start": 2640.61, "end": 2641.05, "word": " of", "probability": 0.89306640625}, {"start": 2641.05, "end": 2641.23, "word": " T", "probability": 0.496826171875}, {"start": 2641.23, "end": 2641.65, "word": " والمتمنى", "probability": 0.6048828125}, {"start": 2641.65, "end": 2641.81, "word": " هو", "probability": 0.962890625}, {"start": 2641.81, "end": 2642.19, "word": " تلاتة", "probability": 0.7027587890625}, {"start": 2642.19, "end": 2642.37, "word": " واحد", "probability": 0.960693359375}, {"start": 2642.37, "end": 2642.49, "word": " اللي", "probability": 0.963623046875}, {"start": 2642.49, "end": 2642.85, "word": " كتبه", "probability": 0.77130126953125}, {"start": 2642.85, "end": 2643.01, "word": " ان", "probability": 0.38134765625}, {"start": 2643.01, "end": 2643.15, "word": " انا", "probability": 0.810302734375}, {"start": 2643.15, "end": 2643.29, "word": " على", "probability": 0.71533203125}, {"start": 2643.29, "end": 2643.57, "word": " الجنب", "probability": 0.79345703125}, {"start": 2643.57, "end": 2644.01, "word": " هناك", "probability": 0.99658203125}], "temperature": 1.0}, {"id": 119, "seek": 265828, "start": 2644.78, "end": 2658.28, "text": "الان و خلّينا نسمي E1-E2 يتساوي F رايحكم باتجاهة F يتساوي 0 إذا أثبتنا F يتساوي 0 إذا سيصبح E1 يتساوي E2 يكون خلصنا", "tokens": [6027, 7649, 4032, 16490, 1211, 11703, 1829, 8315, 8717, 38251, 1829, 462, 16, 12, 36, 17, 7251, 2655, 3794, 995, 45865, 479, 12602, 47302, 5016, 24793, 4724, 9307, 7435, 40294, 3660, 479, 7251, 2655, 3794, 995, 45865, 1958, 11933, 15730, 5551, 12984, 3555, 2655, 8315, 479, 7251, 2655, 3794, 995, 45865, 1958, 11933, 15730, 8608, 1829, 9381, 49628, 462, 16, 7251, 2655, 3794, 995, 45865, 462, 17, 7251, 30544, 16490, 1211, 9381, 8315], "avg_logprob": -0.37964526261832265, "compression_ratio": 1.5691056910569106, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 2644.78, "end": 2645.32, "word": "الان", "probability": 0.67822265625}, {"start": 2645.32, "end": 2645.96, "word": " و", "probability": 0.38720703125}, {"start": 2645.96, "end": 2646.42, "word": " خلّينا", "probability": 0.677587890625}, {"start": 2646.42, "end": 2646.94, "word": " نسمي", "probability": 0.9664713541666666}, {"start": 2646.94, "end": 2647.42, "word": " E1", "probability": 0.58984375}, {"start": 2647.42, "end": 2648.16, "word": "-E2", "probability": 0.7671712239583334}, {"start": 2648.16, "end": 2648.7, "word": " يتساوي", "probability": 0.4802276611328125}, {"start": 2648.7, "end": 2648.98, "word": " F", "probability": 0.78955078125}, {"start": 2648.98, "end": 2649.58, "word": " رايحكم", "probability": 0.634521484375}, {"start": 2649.58, "end": 2650.18, "word": " باتجاهة", "probability": 0.763134765625}, {"start": 2650.18, "end": 2650.74, "word": " F", "probability": 0.1259765625}, {"start": 2650.74, "end": 2651.58, "word": " يتساوي", "probability": 0.803369140625}, {"start": 2651.58, "end": 2652.94, "word": " 0", "probability": 0.5263671875}, {"start": 2652.94, "end": 2653.7, "word": " إذا", "probability": 0.8095703125}, {"start": 2653.7, "end": 2654.1, "word": " أثبتنا", "probability": 0.97392578125}, {"start": 2654.1, "end": 2654.24, "word": " F", "probability": 0.8359375}, {"start": 2654.24, "end": 2654.62, "word": " يتساوي", "probability": 0.90390625}, {"start": 2654.62, "end": 2654.84, "word": " 0", "probability": 0.90625}, {"start": 2654.84, "end": 2655.04, "word": " إذا", "probability": 0.758544921875}, {"start": 2655.04, "end": 2655.52, "word": " سيصبح", "probability": 0.511322021484375}, {"start": 2655.52, "end": 2655.98, "word": " E1", "probability": 0.884765625}, {"start": 2655.98, "end": 2656.42, "word": " يتساوي", "probability": 0.787451171875}, {"start": 2656.42, "end": 2657.34, "word": " E2", "probability": 0.984130859375}, {"start": 2657.34, "end": 2657.7, "word": " يكون", "probability": 0.5404052734375}, {"start": 2657.7, "end": 2658.28, "word": " خلصنا", "probability": 0.848876953125}], "temperature": 1.0}, {"id": 120, "seek": 268917, "start": 2659.37, "end": 2689.17, "text": "طيب then فضلي هذه .. فضلي هذه لأن هذا قبل التفاضل و هذا قبل التفاضل إذا F prime of X بيساوي E1 prime of X ناقص E2 prime of X E1 prime of X إيش هتساوي اللي هو نفسها لأن مفترضين احنا و E2 prime of X برضه هتساوي نفسها إذا E1 ناقص E2 يعني مين بيساوي F يعني صارت F prime تبعتنا مين هي بيساوي F of X لكل X element المين إنا احسب اللي دي إيش يا جماعة احسب لولي F في صفر", "tokens": [9566, 1829, 3555, 550, 6156, 11242, 20292, 29538, 4386, 6156, 11242, 20292, 29538, 5296, 33456, 23758, 12174, 36150, 16712, 5172, 46958, 1211, 4032, 23758, 12174, 36150, 16712, 5172, 46958, 1211, 11933, 15730, 479, 5835, 295, 1783, 4724, 1829, 3794, 995, 45865, 462, 16, 5835, 295, 1783, 8717, 995, 4587, 9381, 462, 17, 5835, 295, 1783, 462, 16, 5835, 295, 1783, 11933, 1829, 8592, 8032, 2655, 3794, 995, 45865, 13672, 1829, 31439, 8717, 36178, 11296, 5296, 33456, 3714, 5172, 2655, 43042, 9957, 1975, 5016, 8315, 4032, 462, 17, 5835, 295, 1783, 4724, 43042, 3224, 8032, 2655, 3794, 995, 45865, 8717, 36178, 11296, 11933, 15730, 462, 16, 8717, 995, 4587, 9381, 462, 17, 37495, 22653, 3714, 9957, 4724, 1829, 3794, 995, 45865, 479, 37495, 22653, 20328, 9640, 2655, 479, 5835, 6055, 3555, 34268, 8315, 3714, 9957, 39896, 4724, 1829, 3794, 995, 45865, 479, 295, 1783, 5296, 28820, 1783, 4478, 9673, 9957, 11933, 8315, 1975, 5016, 35457, 13672, 1829, 11778, 1829, 11933, 1829, 8592, 35186, 10874, 15042, 27884, 1975, 5016, 35457, 5296, 12610, 1829, 479, 8978, 20328, 5172, 2288], "avg_logprob": -0.21663135862619864, "compression_ratio": 2.1412213740458017, "no_speech_prob": 0.921875, "words": [{"start": 2659.37, "end": 2659.97, "word": "طيب", "probability": 0.67852783203125}, {"start": 2659.97, "end": 2660.51, "word": " then", "probability": 0.2578125}, {"start": 2660.51, "end": 2661.15, "word": " فضلي", "probability": 0.7459309895833334}, {"start": 2661.15, "end": 2661.63, "word": " هذه", "probability": 0.6044921875}, {"start": 2661.63, "end": 2661.63, "word": " ..", "probability": 0.2529296875}, {"start": 2661.63, "end": 2662.09, "word": " فضلي", "probability": 0.9163411458333334}, {"start": 2662.09, "end": 2662.49, "word": " هذه", "probability": 0.94287109375}, {"start": 2662.49, "end": 2662.97, "word": " لأن", "probability": 0.748779296875}, {"start": 2662.97, "end": 2663.11, "word": " هذا", "probability": 0.302734375}, {"start": 2663.11, "end": 2663.37, "word": " قبل", "probability": 0.97998046875}, {"start": 2663.37, "end": 2663.75, "word": " التفاضل", "probability": 0.747802734375}, {"start": 2663.75, "end": 2663.87, "word": " و", "probability": 0.57177734375}, {"start": 2663.87, "end": 2663.89, "word": " هذا", "probability": 0.82373046875}, {"start": 2663.89, "end": 2664.13, "word": " قبل", "probability": 0.988037109375}, {"start": 2664.13, "end": 2664.51, "word": " التفاضل", "probability": 0.9803466796875}, {"start": 2664.51, "end": 2664.67, "word": " إذا", "probability": 0.5513916015625}, {"start": 2664.67, "end": 2664.89, "word": " F", "probability": 0.2288818359375}, {"start": 2664.89, "end": 2665.19, "word": " prime", "probability": 0.433837890625}, {"start": 2665.19, "end": 2665.35, "word": " of", "probability": 0.9072265625}, {"start": 2665.35, "end": 2665.51, "word": " X", "probability": 0.81201171875}, {"start": 2665.51, "end": 2665.77, "word": " بيساوي", "probability": 0.65888671875}, {"start": 2665.77, "end": 2666.13, "word": " E1", "probability": 0.85986328125}, {"start": 2666.13, "end": 2666.39, "word": " prime", "probability": 0.7021484375}, {"start": 2666.39, "end": 2666.59, "word": " of", "probability": 0.97314453125}, {"start": 2666.59, "end": 2666.75, "word": " X", "probability": 0.986328125}, {"start": 2666.75, "end": 2667.05, "word": " ناقص", "probability": 0.77777099609375}, {"start": 2667.05, "end": 2667.35, "word": " E2", "probability": 0.992431640625}, {"start": 2667.35, "end": 2667.65, "word": " prime", "probability": 0.8818359375}, {"start": 2667.65, "end": 2667.81, "word": " of", "probability": 0.98388671875}, {"start": 2667.81, "end": 2668.03, "word": " X", "probability": 0.99560546875}, {"start": 2668.03, "end": 2668.87, "word": " E1", "probability": 0.94970703125}, {"start": 2668.87, "end": 2669.15, "word": " prime", "probability": 0.876953125}, {"start": 2669.15, "end": 2669.39, "word": " of", "probability": 0.97802734375}, {"start": 2669.39, "end": 2669.69, "word": " X", "probability": 0.99169921875}, {"start": 2669.69, "end": 2669.93, "word": " إيش", "probability": 0.8751627604166666}, {"start": 2669.93, "end": 2670.53, "word": " هتساوي", "probability": 0.91943359375}, {"start": 2670.53, "end": 2671.29, "word": " اللي", "probability": 0.818115234375}, {"start": 2671.29, "end": 2671.49, "word": " هو", "probability": 0.98828125}, {"start": 2671.49, "end": 2672.23, "word": " نفسها", "probability": 0.9949544270833334}, {"start": 2672.23, "end": 2672.45, "word": " لأن", "probability": 0.68994140625}, {"start": 2672.45, "end": 2673.07, "word": " مفترضين", "probability": 0.84912109375}, {"start": 2673.07, "end": 2673.33, "word": " احنا", "probability": 0.8074544270833334}, {"start": 2673.33, "end": 2673.85, "word": " و", "probability": 0.859375}, {"start": 2673.85, "end": 2674.21, "word": " E2", "probability": 0.8095703125}, {"start": 2674.21, "end": 2674.49, "word": " prime", "probability": 0.89404296875}, {"start": 2674.49, "end": 2674.65, "word": " of", "probability": 0.97900390625}, {"start": 2674.65, "end": 2674.83, "word": " X", "probability": 0.9951171875}, {"start": 2674.83, "end": 2675.05, "word": " برضه", "probability": 0.98388671875}, {"start": 2675.05, "end": 2675.43, "word": " هتساوي", "probability": 0.9828125}, {"start": 2675.43, "end": 2675.73, "word": " نفسها", "probability": 0.9620768229166666}, {"start": 2675.73, "end": 2675.83, "word": " إذا", "probability": 0.90478515625}, {"start": 2675.83, "end": 2676.31, "word": " E1", "probability": 0.96142578125}, {"start": 2676.31, "end": 2676.63, "word": " ناقص", "probability": 0.9525146484375}, {"start": 2676.63, "end": 2676.91, "word": " E2", "probability": 0.998046875}, {"start": 2676.91, "end": 2677.11, "word": " يعني", "probability": 0.976806640625}, {"start": 2677.11, "end": 2677.29, "word": " مين", "probability": 0.89599609375}, {"start": 2677.29, "end": 2677.75, "word": " بيساوي", "probability": 0.94970703125}, {"start": 2677.75, "end": 2678.01, "word": " F", "probability": 0.98388671875}, {"start": 2678.01, "end": 2678.69, "word": " يعني", "probability": 0.9560546875}, {"start": 2678.69, "end": 2679.07, "word": " صارت", "probability": 0.92333984375}, {"start": 2679.07, "end": 2679.35, "word": " F", "probability": 0.984375}, {"start": 2679.35, "end": 2679.77, "word": " prime", "probability": 0.853515625}, {"start": 2679.77, "end": 2680.43, "word": " تبعتنا", "probability": 0.88037109375}, {"start": 2680.43, "end": 2680.71, "word": " مين", "probability": 0.990234375}, {"start": 2680.71, "end": 2681.19, "word": " هي", "probability": 0.83447265625}, {"start": 2681.19, "end": 2681.87, "word": " بيساوي", "probability": 0.94287109375}, {"start": 2681.87, "end": 2682.21, "word": " F", "probability": 0.9814453125}, {"start": 2682.21, "end": 2682.49, "word": " of", "probability": 0.9384765625}, {"start": 2682.49, "end": 2682.75, "word": " X", "probability": 0.99072265625}, {"start": 2682.75, "end": 2683.21, "word": " لكل", "probability": 0.971435546875}, {"start": 2683.21, "end": 2683.57, "word": " X", "probability": 0.95703125}, {"start": 2683.57, "end": 2684.05, "word": " element", "probability": 0.90771484375}, {"start": 2684.05, "end": 2684.61, "word": " المين", "probability": 0.578125}, {"start": 2684.61, "end": 2685.25, "word": " إنا", "probability": 0.57720947265625}, {"start": 2685.25, "end": 2686.17, "word": " احسب", "probability": 0.7900390625}, {"start": 2686.17, "end": 2686.31, "word": " اللي", "probability": 0.6212158203125}, {"start": 2686.31, "end": 2686.43, "word": " دي", "probability": 0.63525390625}, {"start": 2686.43, "end": 2686.59, "word": " إيش", "probability": 0.7288411458333334}, {"start": 2686.59, "end": 2686.75, "word": " يا", "probability": 0.982421875}, {"start": 2686.75, "end": 2687.05, "word": " جماعة", "probability": 0.9964192708333334}, {"start": 2687.05, "end": 2687.87, "word": " احسب", "probability": 0.8763020833333334}, {"start": 2687.87, "end": 2688.29, "word": " لولي", "probability": 0.7206217447916666}, {"start": 2688.29, "end": 2688.61, "word": " F", "probability": 0.9404296875}, {"start": 2688.61, "end": 2688.85, "word": " في", "probability": 0.419921875}, {"start": 2688.85, "end": 2689.17, "word": " صفر", "probability": 0.9542643229166666}], "temperature": 1.0}, {"id": 121, "seek": 270435, "start": 2689.33, "end": 2704.35, "text": "أف اف صفر بيساوي ا واحد اف صفر ناقص اتنين اف صفر ا واحد اف صفر واحد و اتنين اف صفر برضه اش بتساوي واحد لإن مفترضين ا واحد و اتنين بتحفق اللي هي الشطن الأمامنا إذا بيساوي واحد ناقص واحد و اي ساوي اش صفر", "tokens": [10721, 5172, 1975, 5172, 20328, 5172, 2288, 4724, 1829, 3794, 995, 45865, 1975, 36764, 24401, 1975, 5172, 20328, 5172, 2288, 8717, 995, 4587, 9381, 1975, 2655, 1863, 9957, 1975, 5172, 20328, 5172, 2288, 1975, 36764, 24401, 1975, 5172, 20328, 5172, 2288, 36764, 24401, 4032, 1975, 2655, 1863, 9957, 1975, 5172, 20328, 5172, 2288, 4724, 43042, 3224, 1975, 8592, 39894, 3794, 995, 45865, 36764, 24401, 5296, 28814, 1863, 3714, 5172, 2655, 43042, 9957, 1975, 36764, 24401, 4032, 1975, 2655, 1863, 9957, 39894, 5016, 5172, 4587, 13672, 1829, 39896, 25124, 9566, 1863, 16247, 2304, 10943, 8315, 11933, 15730, 4724, 1829, 3794, 995, 45865, 36764, 24401, 8717, 995, 4587, 9381, 36764, 24401, 4032, 1975, 1829, 8608, 995, 45865, 1975, 8592, 20328, 5172, 2288], "avg_logprob": -0.21758781484335907, "compression_ratio": 2.38, "no_speech_prob": 2.7179718017578125e-05, "words": [{"start": 2689.33, "end": 2690.09, "word": "أف", "probability": 0.659912109375}, {"start": 2690.09, "end": 2690.21, "word": " اف", "probability": 0.4056396484375}, {"start": 2690.21, "end": 2690.49, "word": " صفر", "probability": 0.94921875}, {"start": 2690.49, "end": 2690.83, "word": " بيساوي", "probability": 0.740478515625}, {"start": 2690.83, "end": 2690.97, "word": " ا", "probability": 0.388916015625}, {"start": 2690.97, "end": 2691.25, "word": " واحد", "probability": 0.7447509765625}, {"start": 2691.25, "end": 2691.35, "word": " اف", "probability": 0.89599609375}, {"start": 2691.35, "end": 2691.63, "word": " صفر", "probability": 0.9716796875}, {"start": 2691.63, "end": 2691.93, "word": " ناقص", "probability": 0.83642578125}, {"start": 2691.93, "end": 2692.25, "word": " اتنين", "probability": 0.888916015625}, {"start": 2692.25, "end": 2692.35, "word": " اف", "probability": 0.8681640625}, {"start": 2692.35, "end": 2692.69, "word": " صفر", "probability": 0.9630533854166666}, {"start": 2692.69, "end": 2693.35, "word": " ا", "probability": 0.7041015625}, {"start": 2693.35, "end": 2693.67, "word": " واحد", "probability": 0.78662109375}, {"start": 2693.67, "end": 2693.79, "word": " اف", "probability": 0.97998046875}, {"start": 2693.79, "end": 2694.11, "word": " صفر", "probability": 0.98681640625}, {"start": 2694.11, "end": 2694.57, "word": " واحد", "probability": 0.988525390625}, {"start": 2694.57, "end": 2694.75, "word": " و", "probability": 0.3974609375}, {"start": 2694.75, "end": 2695.15, "word": " اتنين", "probability": 0.9189453125}, {"start": 2695.15, "end": 2695.27, "word": " اف", "probability": 0.97998046875}, {"start": 2695.27, "end": 2695.81, "word": " صفر", "probability": 0.97314453125}, {"start": 2695.81, "end": 2696.11, "word": " برضه", "probability": 0.7762858072916666}, {"start": 2696.11, "end": 2696.27, "word": " اش", "probability": 0.55615234375}, {"start": 2696.27, "end": 2696.71, "word": " بتساوي", "probability": 0.942138671875}, {"start": 2696.71, "end": 2696.99, "word": " واحد", "probability": 0.980224609375}, {"start": 2696.99, "end": 2697.21, "word": " لإن", "probability": 0.7978515625}, {"start": 2697.21, "end": 2697.75, "word": " مفترضين", "probability": 0.861328125}, {"start": 2697.75, "end": 2697.85, "word": " ا", "probability": 0.8896484375}, {"start": 2697.85, "end": 2698.13, "word": " واحد", "probability": 0.952392578125}, {"start": 2698.13, "end": 2698.23, "word": " و", "probability": 0.8701171875}, {"start": 2698.23, "end": 2698.53, "word": " اتنين", "probability": 0.9588623046875}, {"start": 2698.53, "end": 2699.09, "word": " بتحفق", "probability": 0.8009033203125}, {"start": 2699.09, "end": 2699.27, "word": " اللي", "probability": 0.820556640625}, {"start": 2699.27, "end": 2699.51, "word": " هي", "probability": 0.60986328125}, {"start": 2699.51, "end": 2700.01, "word": " الشطن", "probability": 0.6595052083333334}, {"start": 2700.01, "end": 2700.57, "word": " الأمامنا", "probability": 0.8214111328125}, {"start": 2700.57, "end": 2701.25, "word": " إذا", "probability": 0.5406494140625}, {"start": 2701.25, "end": 2701.63, "word": " بيساوي", "probability": 0.96728515625}, {"start": 2701.63, "end": 2701.87, "word": " واحد", "probability": 0.986328125}, {"start": 2701.87, "end": 2702.21, "word": " ناقص", "probability": 0.9852294921875}, {"start": 2702.21, "end": 2702.47, "word": " واحد", "probability": 0.99267578125}, {"start": 2702.47, "end": 2702.57, "word": " و", "probability": 0.732421875}, {"start": 2702.57, "end": 2702.65, "word": " اي", "probability": 0.5565185546875}, {"start": 2702.65, "end": 2702.97, "word": " ساوي", "probability": 0.79541015625}, {"start": 2702.97, "end": 2703.39, "word": " اش", "probability": 0.658935546875}, {"start": 2703.39, "end": 2704.35, "word": " صفر", "probability": 0.8932291666666666}], "temperature": 1.0}, {"id": 122, "seek": 273484, "start": 2707.32, "end": 2734.84, "text": "by induction f double prime هتساوي f نفسها f triple بتساوي f نفسها fn of x بيساوي f of x وعملت قبل بشوية واحدة زيها إذا by induction fn of x بيساوي f of x لكل x element in R إذا حققت الآن f of 0 بيساوي 0 و fn of x بيساوي مين؟ f of x شوف الآن", "tokens": [2322, 33371, 283, 3834, 5835, 8032, 2655, 3794, 995, 45865, 283, 8717, 36178, 11296, 283, 15508, 39894, 3794, 995, 45865, 283, 8717, 36178, 11296, 283, 77, 295, 2031, 4724, 1829, 3794, 995, 45865, 283, 295, 2031, 4032, 25957, 1211, 2655, 12174, 36150, 4724, 8592, 2407, 10632, 36764, 24401, 3660, 30767, 1829, 11296, 11933, 15730, 538, 33371, 283, 77, 295, 2031, 4724, 1829, 3794, 995, 45865, 283, 295, 2031, 5296, 28820, 2031, 4478, 294, 497, 11933, 15730, 11331, 4587, 38149, 6024, 48506, 283, 295, 1958, 4724, 1829, 3794, 995, 45865, 1958, 4032, 283, 77, 295, 2031, 4724, 1829, 3794, 995, 45865, 3714, 9957, 22807, 283, 295, 2031, 13412, 38688, 6024, 48506], "avg_logprob": -0.21114865401843647, "compression_ratio": 1.8172043010752688, "no_speech_prob": 7.68899917602539e-06, "words": [{"start": 2707.32, "end": 2708.16, "word": "by", "probability": 0.078125}, {"start": 2708.16, "end": 2708.86, "word": " induction", "probability": 0.9677734375}, {"start": 2708.86, "end": 2709.8, "word": " f", "probability": 0.4130859375}, {"start": 2709.8, "end": 2710.08, "word": " double", "probability": 0.1715087890625}, {"start": 2710.08, "end": 2710.58, "word": " prime", "probability": 0.79638671875}, {"start": 2710.58, "end": 2711.24, "word": " هتساوي", "probability": 0.69376220703125}, {"start": 2711.24, "end": 2711.72, "word": " f", "probability": 0.69775390625}, {"start": 2711.72, "end": 2713.06, "word": " نفسها", "probability": 0.8684895833333334}, {"start": 2713.06, "end": 2713.38, "word": " f", "probability": 0.47900390625}, {"start": 2713.38, "end": 2713.88, "word": " triple", "probability": 0.90185546875}, {"start": 2713.88, "end": 2714.44, "word": " بتساوي", "probability": 0.9478759765625}, {"start": 2714.44, "end": 2714.66, "word": " f", "probability": 0.93017578125}, {"start": 2714.66, "end": 2715.24, "word": " نفسها", "probability": 0.9900716145833334}, {"start": 2715.24, "end": 2716.2, "word": " fn", "probability": 0.49951171875}, {"start": 2716.2, "end": 2716.48, "word": " of", "probability": 0.8837890625}, {"start": 2716.48, "end": 2716.74, "word": " x", "probability": 0.88330078125}, {"start": 2716.74, "end": 2717.08, "word": " بيساوي", "probability": 0.89990234375}, {"start": 2717.08, "end": 2717.24, "word": " f", "probability": 0.9091796875}, {"start": 2717.24, "end": 2717.4, "word": " of", "probability": 0.95703125}, {"start": 2717.4, "end": 2717.62, "word": " x", "probability": 0.93115234375}, {"start": 2717.62, "end": 2718.06, "word": " وعملت", "probability": 0.9312744140625}, {"start": 2718.06, "end": 2718.38, "word": " قبل", "probability": 0.885986328125}, {"start": 2718.38, "end": 2718.84, "word": " بشوية", "probability": 0.9078369140625}, {"start": 2718.84, "end": 2719.2, "word": " واحدة", "probability": 0.91357421875}, {"start": 2719.2, "end": 2719.64, "word": " زيها", "probability": 0.9845377604166666}, {"start": 2719.64, "end": 2720.1, "word": " إذا", "probability": 0.5556640625}, {"start": 2720.1, "end": 2720.38, "word": " by", "probability": 0.83203125}, {"start": 2720.38, "end": 2720.9, "word": " induction", "probability": 0.96923828125}, {"start": 2720.9, "end": 2721.52, "word": " fn", "probability": 0.8740234375}, {"start": 2721.52, "end": 2721.7, "word": " of", "probability": 0.9677734375}, {"start": 2721.7, "end": 2721.92, "word": " x", "probability": 0.986328125}, {"start": 2721.92, "end": 2722.4, "word": " بيساوي", "probability": 0.9787109375}, {"start": 2722.4, "end": 2722.74, "word": " f", "probability": 0.95556640625}, {"start": 2722.74, "end": 2723.32, "word": " of", "probability": 0.962890625}, {"start": 2723.32, "end": 2723.62, "word": " x", "probability": 0.98193359375}, {"start": 2723.62, "end": 2724.16, "word": " لكل", "probability": 0.972900390625}, {"start": 2724.16, "end": 2724.7, "word": " x", "probability": 0.86572265625}, {"start": 2724.7, "end": 2725.3, "word": " element", "probability": 0.93212890625}, {"start": 2725.3, "end": 2725.58, "word": " in", "probability": 0.93310546875}, {"start": 2725.58, "end": 2725.74, "word": " R", "probability": 0.98681640625}, {"start": 2725.74, "end": 2726.3, "word": " إذا", "probability": 0.9140625}, {"start": 2726.3, "end": 2726.9, "word": " حققت", "probability": 0.80078125}, {"start": 2726.9, "end": 2727.42, "word": " الآن", "probability": 0.5999755859375}, {"start": 2727.42, "end": 2728.28, "word": " f", "probability": 0.814453125}, {"start": 2728.28, "end": 2728.46, "word": " of", "probability": 0.9072265625}, {"start": 2728.46, "end": 2728.78, "word": " 0", "probability": 0.50439453125}, {"start": 2728.78, "end": 2729.16, "word": " بيساوي", "probability": 0.97685546875}, {"start": 2729.16, "end": 2729.56, "word": " 0", "probability": 0.6103515625}, {"start": 2729.56, "end": 2730.16, "word": " و", "probability": 0.95751953125}, {"start": 2730.16, "end": 2730.48, "word": " fn", "probability": 0.779052734375}, {"start": 2730.48, "end": 2730.62, "word": " of", "probability": 0.98193359375}, {"start": 2730.62, "end": 2730.86, "word": " x", "probability": 0.978515625}, {"start": 2730.86, "end": 2731.38, "word": " بيساوي", "probability": 0.978515625}, {"start": 2731.38, "end": 2732.16, "word": " مين؟", "probability": 0.5533447265625}, {"start": 2732.16, "end": 2732.62, "word": " f", "probability": 0.8154296875}, {"start": 2732.62, "end": 2733.16, "word": " of", "probability": 0.97119140625}, {"start": 2733.16, "end": 2733.64, "word": " x", "probability": 0.89794921875}, {"start": 2733.64, "end": 2734.5, "word": " شوف", "probability": 0.926513671875}, {"start": 2734.5, "end": 2734.84, "word": " الآن", "probability": 0.7744140625}], "temperature": 1.0}, {"id": 123, "seek": 274287, "start": 2735.95, "end": 2742.87, "text": "أذا صار عندي F of Zero بساوي Zero أو F", "tokens": [10721, 15730, 20328, 9640, 18871, 16254, 479, 295, 17182, 4724, 3794, 995, 45865, 17182, 34051, 479], "avg_logprob": -0.5367647058823529, "compression_ratio": 0.9016393442622951, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 2735.95, "end": 2736.79, "word": "أذا", "probability": 0.4581298828125}, {"start": 2736.79, "end": 2737.11, "word": " صار", "probability": 0.64794921875}, {"start": 2737.11, "end": 2737.43, "word": " عندي", "probability": 0.61480712890625}, {"start": 2737.43, "end": 2737.69, "word": " F", "probability": 0.5478515625}, {"start": 2737.69, "end": 2737.91, "word": " of", "probability": 0.3115234375}, {"start": 2737.91, "end": 2738.39, "word": " Zero", "probability": 0.443359375}, {"start": 2738.39, "end": 2740.47, "word": " بساوي", "probability": 0.6436767578125}, {"start": 2740.47, "end": 2740.87, "word": " Zero", "probability": 0.8779296875}, {"start": 2740.87, "end": 2742.43, "word": " أو", "probability": 0.5400390625}, {"start": 2742.43, "end": 2742.87, "word": " F", "probability": 0.94580078125}], "temperature": 1.0}, {"id": 124, "seek": 277245, "start": 2770.09, "end": 2772.45, "text": "بساوة 0", "tokens": [3555, 3794, 995, 2407, 3660, 1958], "avg_logprob": -1.0133928230830602, "compression_ratio": 0.5714285714285714, "no_speech_prob": 0.8828125, "words": [{"start": 2770.0899999999997, "end": 2771.49, "word": "بساوة", "probability": 0.51246337890625}, {"start": 2771.49, "end": 2772.45, "word": " 0", "probability": 0.2393798828125}], "temperature": 1.0}, {"id": 125, "seek": 279635, "start": 2773.85, "end": 2796.35, "text": "طب ايش علاقتنا ابوها الجيت بتشوف عشان بدنا نطبق اللي هو taylor's theorem تبعت ال derivative نص اللي اللي بدنا يعني برهان حلو let x element in R be arbitrary أخدنا إذا x element in R arbitrary x اللي يعني let I x be the closed interval with end point 0x يعني I x", "tokens": [9566, 3555, 1975, 1829, 8592, 11203, 995, 38149, 8315, 48127, 2407, 11296, 25724, 36081, 39894, 8592, 38688, 6225, 8592, 7649, 47525, 8315, 8717, 9566, 3555, 4587, 13672, 1829, 31439, 39224, 6746, 311, 20904, 6055, 3555, 34268, 2423, 13760, 8717, 9381, 13672, 1829, 13672, 1829, 47525, 8315, 37495, 22653, 4724, 2288, 3224, 7649, 11331, 1211, 2407, 718, 2031, 4478, 294, 497, 312, 23211, 5551, 9778, 3215, 8315, 11933, 15730, 2031, 4478, 294, 497, 23211, 2031, 13672, 1829, 37495, 22653, 718, 286, 2031, 312, 264, 5395, 15035, 365, 917, 935, 1958, 87, 37495, 22653, 286, 2031], "avg_logprob": -0.3057565839667069, "compression_ratio": 1.5911111111111111, "no_speech_prob": 0.0, "words": [{"start": 2773.85, "end": 2774.43, "word": "طب", "probability": 0.54302978515625}, {"start": 2774.43, "end": 2774.99, "word": " ايش", "probability": 0.8020833333333334}, {"start": 2774.99, "end": 2776.19, "word": " علاقتنا", "probability": 0.883544921875}, {"start": 2776.19, "end": 2776.49, "word": " ابوها", "probability": 0.7469889322916666}, {"start": 2776.49, "end": 2776.75, "word": " الجيت", "probability": 0.3231201171875}, {"start": 2776.75, "end": 2777.17, "word": " بتشوف", "probability": 0.8997395833333334}, {"start": 2777.17, "end": 2777.55, "word": " عشان", "probability": 0.8712565104166666}, {"start": 2777.55, "end": 2777.83, "word": " بدنا", "probability": 0.630615234375}, {"start": 2777.83, "end": 2778.37, "word": " نطبق", "probability": 0.9432373046875}, {"start": 2778.37, "end": 2778.53, "word": " اللي", "probability": 0.78173828125}, {"start": 2778.53, "end": 2778.73, "word": " هو", "probability": 0.947265625}, {"start": 2778.73, "end": 2779.55, "word": " taylor's", "probability": 0.6273600260416666}, {"start": 2779.55, "end": 2779.81, "word": " theorem", "probability": 0.89013671875}, {"start": 2779.81, "end": 2780.21, "word": " تبعت", "probability": 0.8121744791666666}, {"start": 2780.21, "end": 2780.35, "word": " ال", "probability": 0.8701171875}, {"start": 2780.35, "end": 2780.69, "word": " derivative", "probability": 0.86328125}, {"start": 2780.69, "end": 2781.01, "word": " نص", "probability": 0.812255859375}, {"start": 2781.01, "end": 2781.19, "word": " اللي", "probability": 0.730712890625}, {"start": 2781.19, "end": 2781.31, "word": " اللي", "probability": 0.949462890625}, {"start": 2781.31, "end": 2781.57, "word": " بدنا", "probability": 0.9599609375}, {"start": 2781.57, "end": 2782.17, "word": " يعني", "probability": 0.4244384765625}, {"start": 2782.17, "end": 2783.13, "word": " برهان", "probability": 0.710693359375}, {"start": 2783.13, "end": 2784.79, "word": " حلو", "probability": 0.9900716145833334}, {"start": 2784.79, "end": 2785.21, "word": " let", "probability": 0.6298828125}, {"start": 2785.21, "end": 2785.47, "word": " x", "probability": 0.724609375}, {"start": 2785.47, "end": 2785.73, "word": " element", "probability": 0.68310546875}, {"start": 2785.73, "end": 2785.93, "word": " in", "probability": 0.60107421875}, {"start": 2785.93, "end": 2786.05, "word": " R", "probability": 0.8828125}, {"start": 2786.05, "end": 2786.17, "word": " be", "probability": 0.6875}, {"start": 2786.17, "end": 2786.69, "word": " arbitrary", "probability": 0.65576171875}, {"start": 2786.69, "end": 2788.03, "word": " أخدنا", "probability": 0.8623046875}, {"start": 2788.03, "end": 2788.21, "word": " إذا", "probability": 0.677978515625}, {"start": 2788.21, "end": 2788.53, "word": " x", "probability": 0.83642578125}, {"start": 2788.53, "end": 2788.83, "word": " element", "probability": 0.95703125}, {"start": 2788.83, "end": 2789.07, "word": " in", "probability": 0.93701171875}, {"start": 2789.07, "end": 2789.19, "word": " R", "probability": 0.98681640625}, {"start": 2789.19, "end": 2789.55, "word": " arbitrary", "probability": 0.5859375}, {"start": 2789.55, "end": 2790.85, "word": " x", "probability": 0.441162109375}, {"start": 2790.85, "end": 2791.59, "word": " اللي", "probability": 0.762451171875}, {"start": 2791.59, "end": 2791.73, "word": " يعني", "probability": 0.9423828125}, {"start": 2791.73, "end": 2792.01, "word": " let", "probability": 0.87744140625}, {"start": 2792.01, "end": 2792.23, "word": " I", "probability": 0.85888671875}, {"start": 2792.23, "end": 2792.45, "word": " x", "probability": 0.5693359375}, {"start": 2792.45, "end": 2792.63, "word": " be", "probability": 0.884765625}, {"start": 2792.63, "end": 2792.81, "word": " the", "probability": 0.88916015625}, {"start": 2792.81, "end": 2793.07, "word": " closed", "probability": 0.8359375}, {"start": 2793.07, "end": 2793.55, "word": " interval", "probability": 0.97216796875}, {"start": 2793.55, "end": 2793.81, "word": " with", "probability": 0.607421875}, {"start": 2793.81, "end": 2794.07, "word": " end", "probability": 0.806640625}, {"start": 2794.07, "end": 2794.31, "word": " point", "probability": 0.3251953125}, {"start": 2794.31, "end": 2795.31, "word": " 0x", "probability": 0.725341796875}, {"start": 2795.31, "end": 2795.61, "word": " يعني", "probability": 0.940185546875}, {"start": 2795.61, "end": 2795.93, "word": " I", "probability": 0.51318359375}, {"start": 2795.93, "end": 2796.35, "word": " x", "probability": 0.6591796875}], "temperature": 1.0}, {"id": 126, "seek": 281820, "start": 2796.86, "end": 2818.2, "text": "هناخدها بتساوي 0 و X أو اللي هي X و 0 على .. على اللي هو اللي هي حسب X اللي هي سالبة أو مجبة إذا أخدنا ال I X عبارة عن اللي هي ال closed interval اللي within point 0 X الآن F is continuous on I X", "tokens": [3224, 1863, 47283, 3215, 11296, 39894, 3794, 995, 45865, 1958, 4032, 1783, 34051, 13672, 1829, 39896, 1783, 4032, 1958, 15844, 4386, 15844, 13672, 1829, 31439, 13672, 1829, 39896, 11331, 35457, 1783, 13672, 1829, 39896, 8608, 6027, 49401, 34051, 3714, 7435, 49401, 11933, 15730, 5551, 9778, 3215, 8315, 2423, 286, 1783, 6225, 3555, 9640, 3660, 18871, 13672, 1829, 39896, 2423, 5395, 15035, 13672, 1829, 1951, 935, 1958, 1783, 6024, 48506, 479, 307, 10957, 322, 286, 1783], "avg_logprob": -0.24588815867900848, "compression_ratio": 1.5879120879120878, "no_speech_prob": 6.139278411865234e-06, "words": [{"start": 2796.86, "end": 2797.52, "word": "هناخدها", "probability": 0.80166015625}, {"start": 2797.52, "end": 2798.06, "word": " بتساوي", "probability": 0.8245849609375}, {"start": 2798.06, "end": 2798.52, "word": " 0", "probability": 0.363525390625}, {"start": 2798.52, "end": 2799.18, "word": " و", "probability": 0.5205078125}, {"start": 2799.18, "end": 2799.58, "word": " X", "probability": 0.5947265625}, {"start": 2799.58, "end": 2800.36, "word": " أو", "probability": 0.8681640625}, {"start": 2800.36, "end": 2800.76, "word": " اللي", "probability": 0.51910400390625}, {"start": 2800.76, "end": 2801.02, "word": " هي", "probability": 0.89404296875}, {"start": 2801.02, "end": 2801.32, "word": " X", "probability": 0.8212890625}, {"start": 2801.32, "end": 2801.48, "word": " و", "probability": 0.9296875}, {"start": 2801.48, "end": 2801.86, "word": " 0", "probability": 0.84375}, {"start": 2801.86, "end": 2802.76, "word": " على", "probability": 0.849609375}, {"start": 2802.76, "end": 2803.06, "word": " ..", "probability": 0.176025390625}, {"start": 2803.06, "end": 2804.06, "word": " على", "probability": 0.76806640625}, {"start": 2804.06, "end": 2804.44, "word": " اللي", "probability": 0.957275390625}, {"start": 2804.44, "end": 2804.74, "word": " هو", "probability": 0.61279296875}, {"start": 2804.74, "end": 2805.44, "word": " اللي", "probability": 0.850341796875}, {"start": 2805.44, "end": 2805.76, "word": " هي", "probability": 0.89794921875}, {"start": 2805.76, "end": 2806.3, "word": " حسب", "probability": 0.983642578125}, {"start": 2806.3, "end": 2806.64, "word": " X", "probability": 0.97216796875}, {"start": 2806.64, "end": 2806.84, "word": " اللي", "probability": 0.968505859375}, {"start": 2806.84, "end": 2807.08, "word": " هي", "probability": 0.9248046875}, {"start": 2807.08, "end": 2807.6, "word": " سالبة", "probability": 0.8772786458333334}, {"start": 2807.6, "end": 2807.9, "word": " أو", "probability": 0.65869140625}, {"start": 2807.9, "end": 2808.26, "word": " مجبة", "probability": 0.6756184895833334}, {"start": 2808.26, "end": 2808.84, "word": " إذا", "probability": 0.734619140625}, {"start": 2808.84, "end": 2809.34, "word": " أخدنا", "probability": 0.91650390625}, {"start": 2809.34, "end": 2809.48, "word": " ال", "probability": 0.7431640625}, {"start": 2809.48, "end": 2809.64, "word": " I", "probability": 0.45361328125}, {"start": 2809.64, "end": 2809.9, "word": " X", "probability": 0.53173828125}, {"start": 2809.9, "end": 2810.42, "word": " عبارة", "probability": 0.9959716796875}, {"start": 2810.42, "end": 2810.74, "word": " عن", "probability": 0.9970703125}, {"start": 2810.74, "end": 2811.48, "word": " اللي", "probability": 0.972900390625}, {"start": 2811.48, "end": 2811.74, "word": " هي", "probability": 0.83447265625}, {"start": 2811.74, "end": 2811.98, "word": " ال", "probability": 0.80078125}, {"start": 2811.98, "end": 2812.38, "word": " closed", "probability": 0.603515625}, {"start": 2812.38, "end": 2813.02, "word": " interval", "probability": 0.9736328125}, {"start": 2813.02, "end": 2813.34, "word": " اللي", "probability": 0.830078125}, {"start": 2813.34, "end": 2813.62, "word": " within", "probability": 0.9267578125}, {"start": 2813.62, "end": 2814.0, "word": " point", "probability": 0.80908203125}, {"start": 2814.0, "end": 2814.42, "word": " 0", "probability": 0.66552734375}, {"start": 2814.42, "end": 2814.9, "word": " X", "probability": 0.7353515625}, {"start": 2814.9, "end": 2815.92, "word": " الآن", "probability": 0.68408203125}, {"start": 2815.92, "end": 2816.36, "word": " F", "probability": 0.87060546875}, {"start": 2816.36, "end": 2816.6, "word": " is", "probability": 0.91748046875}, {"start": 2816.6, "end": 2817.18, "word": " continuous", "probability": 0.9013671875}, {"start": 2817.18, "end": 2817.58, "word": " on", "probability": 0.947265625}, {"start": 2817.58, "end": 2817.84, "word": " I", "probability": 0.970703125}, {"start": 2817.84, "end": 2818.2, "word": " X", "probability": 0.9736328125}], "temperature": 1.0}, {"id": 127, "seek": 283938, "start": 2818.9, "end": 2839.38, "text": "على الـ closed interval مدام continuous على closed interval and function that is continuous على closed interval then it is bounded on this interval يعني بمعنى أخر there exist k بحيث أن absolute value of f of t أصغر أو يساوي k for all t element in I X يعني f is bounded on this interval", "tokens": [3615, 23942, 2423, 39184, 5395, 15035, 3714, 3215, 10943, 10957, 15844, 5395, 15035, 293, 2445, 300, 307, 10957, 15844, 5395, 15035, 550, 309, 307, 37498, 322, 341, 15035, 37495, 22653, 4724, 2304, 3615, 1863, 7578, 5551, 34740, 456, 2514, 350, 4724, 5016, 1829, 12984, 14739, 8236, 2158, 295, 283, 295, 256, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 350, 337, 439, 256, 4478, 294, 286, 1783, 37495, 22653, 283, 307, 37498, 322, 341, 15035], "avg_logprob": -0.22727272804681356, "compression_ratio": 1.6868686868686869, "no_speech_prob": 1.6689300537109375e-06, "words": [{"start": 2818.9, "end": 2819.22, "word": "على", "probability": 0.76220703125}, {"start": 2819.22, "end": 2819.38, "word": " الـ", "probability": 0.598388671875}, {"start": 2819.38, "end": 2819.66, "word": " closed", "probability": 0.56591796875}, {"start": 2819.66, "end": 2820.28, "word": " interval", "probability": 0.9609375}, {"start": 2820.28, "end": 2821.02, "word": " مدام", "probability": 0.5442708333333334}, {"start": 2821.02, "end": 2821.56, "word": " continuous", "probability": 0.9267578125}, {"start": 2821.56, "end": 2821.82, "word": " على", "probability": 0.85791015625}, {"start": 2821.82, "end": 2822.12, "word": " closed", "probability": 0.84521484375}, {"start": 2822.12, "end": 2822.58, "word": " interval", "probability": 0.97021484375}, {"start": 2822.58, "end": 2822.76, "word": " and", "probability": 0.8515625}, {"start": 2822.76, "end": 2823.1, "word": " function", "probability": 0.5869140625}, {"start": 2823.1, "end": 2823.32, "word": " that", "probability": 0.6904296875}, {"start": 2823.32, "end": 2823.48, "word": " is", "probability": 0.95263671875}, {"start": 2823.48, "end": 2823.84, "word": " continuous", "probability": 0.90185546875}, {"start": 2823.84, "end": 2824.06, "word": " على", "probability": 0.92236328125}, {"start": 2824.06, "end": 2824.54, "word": " closed", "probability": 0.85693359375}, {"start": 2824.54, "end": 2825.38, "word": " interval", "probability": 0.9765625}, {"start": 2825.38, "end": 2825.98, "word": " then", "probability": 0.58251953125}, {"start": 2825.98, "end": 2826.24, "word": " it", "probability": 0.970703125}, {"start": 2826.24, "end": 2826.46, "word": " is", "probability": 0.92529296875}, {"start": 2826.46, "end": 2826.8, "word": " bounded", "probability": 0.94140625}, {"start": 2826.8, "end": 2827.12, "word": " on", "probability": 0.9248046875}, {"start": 2827.12, "end": 2827.32, "word": " this", "probability": 0.95263671875}, {"start": 2827.32, "end": 2827.84, "word": " interval", "probability": 0.97265625}, {"start": 2827.84, "end": 2828.44, "word": " يعني", "probability": 0.82666015625}, {"start": 2828.44, "end": 2828.78, "word": " بمعنى", "probability": 0.97734375}, {"start": 2828.78, "end": 2829.02, "word": " أخر", "probability": 0.764404296875}, {"start": 2829.02, "end": 2829.2, "word": " there", "probability": 0.77490234375}, {"start": 2829.2, "end": 2829.62, "word": " exist", "probability": 0.53125}, {"start": 2829.62, "end": 2829.86, "word": " k", "probability": 0.52978515625}, {"start": 2829.86, "end": 2830.22, "word": " بحيث", "probability": 0.9581298828125}, {"start": 2830.22, "end": 2830.34, "word": " أن", "probability": 0.57177734375}, {"start": 2830.34, "end": 2830.84, "word": " absolute", "probability": 0.73681640625}, {"start": 2830.84, "end": 2831.36, "word": " value", "probability": 0.98779296875}, {"start": 2831.36, "end": 2831.48, "word": " of", "probability": 0.7275390625}, {"start": 2831.48, "end": 2831.58, "word": " f", "probability": 0.59716796875}, {"start": 2831.58, "end": 2831.74, "word": " of", "probability": 0.2252197265625}, {"start": 2831.74, "end": 2831.98, "word": " t", "probability": 0.6650390625}, {"start": 2831.98, "end": 2832.74, "word": " أصغر", "probability": 0.962158203125}, {"start": 2832.74, "end": 2832.88, "word": " أو", "probability": 0.92236328125}, {"start": 2832.88, "end": 2833.46, "word": " يساوي", "probability": 0.788818359375}, {"start": 2833.46, "end": 2833.98, "word": " k", "probability": 0.79931640625}, {"start": 2833.98, "end": 2834.58, "word": " for", "probability": 0.95361328125}, {"start": 2834.58, "end": 2834.92, "word": " all", "probability": 0.95068359375}, {"start": 2834.92, "end": 2835.1, "word": " t", "probability": 0.59521484375}, {"start": 2835.1, "end": 2835.46, "word": " element", "probability": 0.5517578125}, {"start": 2835.46, "end": 2835.7, "word": " in", "probability": 0.86572265625}, {"start": 2835.7, "end": 2835.88, "word": " I", "probability": 0.927734375}, {"start": 2835.88, "end": 2836.18, "word": " X", "probability": 0.460205078125}, {"start": 2836.18, "end": 2836.64, "word": " يعني", "probability": 0.892333984375}, {"start": 2836.64, "end": 2837.26, "word": " f", "probability": 0.5546875}, {"start": 2837.26, "end": 2837.56, "word": " is", "probability": 0.66259765625}, {"start": 2837.56, "end": 2837.96, "word": " bounded", "probability": 0.9296875}, {"start": 2837.96, "end": 2838.34, "word": " on", "probability": 0.8994140625}, {"start": 2838.34, "end": 2838.74, "word": " this", "probability": 0.95458984375}, {"start": 2838.74, "end": 2839.38, "word": " interval", "probability": 0.96728515625}], "temperature": 1.0}, {"id": 128, "seek": 285792, "start": 2839.94, "end": 2857.92, "text": "الان بدنا نطبق if we apply taylor's theorem 6 4 1 to F بدنا نطبقها على النقطتين النقطة الأولى اللى هى ال X X و X naught 0 يعني بنطبقها على مين اللى هى X X اللى هى طبعا انتوا متذكرين F of X", "tokens": [6027, 7649, 47525, 8315, 8717, 9566, 3555, 4587, 498, 321, 3079, 39224, 6746, 311, 20904, 1386, 1017, 502, 281, 479, 47525, 8315, 8717, 9566, 3555, 4587, 11296, 15844, 28239, 47432, 2655, 9957, 28239, 47432, 3660, 16247, 12610, 7578, 13672, 7578, 8032, 7578, 2423, 1783, 1783, 4032, 1783, 13138, 1958, 37495, 22653, 44945, 9566, 3555, 4587, 11296, 15844, 3714, 9957, 13672, 7578, 8032, 7578, 1783, 1783, 13672, 7578, 8032, 7578, 23032, 3555, 3615, 995, 16472, 2655, 14407, 44650, 8848, 37983, 9957, 479, 295, 1783], "avg_logprob": -0.2978050492349125, "compression_ratio": 1.6033519553072626, "no_speech_prob": 3.635883331298828e-06, "words": [{"start": 2839.94, "end": 2840.36, "word": "الان", "probability": 0.52685546875}, {"start": 2840.36, "end": 2841.38, "word": " بدنا", "probability": 0.641845703125}, {"start": 2841.38, "end": 2842.1, "word": " نطبق", "probability": 0.97509765625}, {"start": 2842.1, "end": 2842.78, "word": " if", "probability": 0.55908203125}, {"start": 2842.78, "end": 2843.02, "word": " we", "probability": 0.95849609375}, {"start": 2843.02, "end": 2843.58, "word": " apply", "probability": 0.77880859375}, {"start": 2843.58, "end": 2844.46, "word": " taylor's", "probability": 0.7244466145833334}, {"start": 2844.46, "end": 2844.78, "word": " theorem", "probability": 0.90673828125}, {"start": 2844.78, "end": 2845.08, "word": " 6", "probability": 0.441162109375}, {"start": 2845.08, "end": 2845.34, "word": " 4", "probability": 0.35498046875}, {"start": 2845.34, "end": 2845.64, "word": " 1", "probability": 0.98388671875}, {"start": 2845.64, "end": 2845.84, "word": " to", "probability": 0.83642578125}, {"start": 2845.84, "end": 2846.14, "word": " F", "probability": 0.556640625}, {"start": 2846.14, "end": 2846.88, "word": " بدنا", "probability": 0.7191162109375}, {"start": 2846.88, "end": 2847.34, "word": " نطبقها", "probability": 0.9787109375}, {"start": 2847.34, "end": 2847.54, "word": " على", "probability": 0.765625}, {"start": 2847.54, "end": 2848.2, "word": " النقطتين", "probability": 0.82794189453125}, {"start": 2848.2, "end": 2848.64, "word": " النقطة", "probability": 0.91845703125}, {"start": 2848.64, "end": 2849.0, "word": " الأولى", "probability": 0.8946940104166666}, {"start": 2849.0, "end": 2849.12, "word": " اللى", "probability": 0.4920654296875}, {"start": 2849.12, "end": 2849.28, "word": " هى", "probability": 0.8310546875}, {"start": 2849.28, "end": 2849.44, "word": " ال", "probability": 0.54150390625}, {"start": 2849.44, "end": 2849.7, "word": " X", "probability": 0.55029296875}, {"start": 2849.7, "end": 2850.28, "word": " X", "probability": 0.8515625}, {"start": 2850.28, "end": 2850.76, "word": " و", "probability": 0.69677734375}, {"start": 2850.76, "end": 2851.06, "word": " X", "probability": 0.734375}, {"start": 2851.06, "end": 2851.4, "word": " naught", "probability": 0.1597900390625}, {"start": 2851.4, "end": 2851.8, "word": " 0", "probability": 0.3076171875}, {"start": 2851.8, "end": 2852.22, "word": " يعني", "probability": 0.75390625}, {"start": 2852.22, "end": 2852.76, "word": " بنطبقها", "probability": 0.85517578125}, {"start": 2852.76, "end": 2852.94, "word": " على", "probability": 0.6630859375}, {"start": 2852.94, "end": 2853.3, "word": " مين", "probability": 0.888671875}, {"start": 2853.3, "end": 2853.9, "word": " اللى", "probability": 0.87646484375}, {"start": 2853.9, "end": 2854.26, "word": " هى", "probability": 0.96630859375}, {"start": 2854.26, "end": 2854.58, "word": " X", "probability": 0.90185546875}, {"start": 2854.58, "end": 2854.82, "word": " X", "probability": 0.650390625}, {"start": 2854.82, "end": 2855.04, "word": " اللى", "probability": 0.890625}, {"start": 2855.04, "end": 2855.3, "word": " هى", "probability": 0.93310546875}, {"start": 2855.3, "end": 2855.64, "word": " طبعا", "probability": 0.8924560546875}, {"start": 2855.64, "end": 2855.78, "word": " انتوا", "probability": 0.5472005208333334}, {"start": 2855.78, "end": 2856.48, "word": " متذكرين", "probability": 0.9085693359375}, {"start": 2856.48, "end": 2857.26, "word": " F", "probability": 0.36328125}, {"start": 2857.26, "end": 2857.48, "word": " of", "probability": 0.7353515625}, {"start": 2857.48, "end": 2857.92, "word": " X", "probability": 0.99609375}], "temperature": 1.0}, {"id": 129, "seek": 288061, "start": 2858.89, "end": 2880.61, "text": "أف of X تيلر سيوريم there exists C in اللي هي ال interval مثلا X not و X such that F of X بيساوي اللي هو F of X not زائد F prime of X not على واحد factorial في X minus X not زائد زائد F", "tokens": [10721, 5172, 295, 1783, 6055, 26895, 2288, 8608, 1829, 13063, 32640, 456, 8198, 383, 294, 13672, 1829, 39896, 2423, 15035, 50113, 15040, 1783, 406, 4032, 1783, 1270, 300, 479, 295, 1783, 4724, 1829, 3794, 995, 45865, 13672, 1829, 31439, 479, 295, 1783, 406, 30767, 16373, 3215, 479, 5835, 295, 1783, 406, 15844, 36764, 24401, 36916, 8978, 1783, 3175, 1783, 406, 30767, 16373, 3215, 30767, 16373, 3215, 479], "avg_logprob": -0.41613050331087675, "compression_ratio": 1.463855421686747, "no_speech_prob": 7.134675979614258e-05, "words": [{"start": 2858.89, "end": 2859.21, "word": "أف", "probability": 0.5032501220703125}, {"start": 2859.21, "end": 2859.35, "word": " of", "probability": 0.5517578125}, {"start": 2859.35, "end": 2859.73, "word": " X", "probability": 0.69873046875}, {"start": 2859.73, "end": 2860.87, "word": " تيلر", "probability": 0.3289388020833333}, {"start": 2860.87, "end": 2861.21, "word": " سيوريم", "probability": 0.42952728271484375}, {"start": 2861.21, "end": 2861.37, "word": " there", "probability": 0.091796875}, {"start": 2861.37, "end": 2861.75, "word": " exists", "probability": 0.56103515625}, {"start": 2861.75, "end": 2862.17, "word": " C", "probability": 0.357177734375}, {"start": 2862.17, "end": 2863.07, "word": " in", "probability": 0.5048828125}, {"start": 2863.07, "end": 2863.53, "word": " اللي", "probability": 0.6600341796875}, {"start": 2863.53, "end": 2863.75, "word": " هي", "probability": 0.68896484375}, {"start": 2863.75, "end": 2863.89, "word": " ال", "probability": 0.92529296875}, {"start": 2863.89, "end": 2864.29, "word": " interval", "probability": 0.509765625}, {"start": 2864.29, "end": 2864.73, "word": " مثلا", "probability": 0.931884765625}, {"start": 2864.73, "end": 2865.01, "word": " X", "probability": 0.84326171875}, {"start": 2865.01, "end": 2865.37, "word": " not", "probability": 0.12457275390625}, {"start": 2865.37, "end": 2865.99, "word": " و", "probability": 0.77734375}, {"start": 2865.99, "end": 2866.37, "word": " X", "probability": 0.76708984375}, {"start": 2866.37, "end": 2867.19, "word": " such", "probability": 0.806640625}, {"start": 2867.19, "end": 2867.57, "word": " that", "probability": 0.9541015625}, {"start": 2867.57, "end": 2867.85, "word": " F", "probability": 0.52001953125}, {"start": 2867.85, "end": 2868.03, "word": " of", "probability": 0.8701171875}, {"start": 2868.03, "end": 2868.29, "word": " X", "probability": 0.9912109375}, {"start": 2868.29, "end": 2868.91, "word": " بيساوي", "probability": 0.7962890625}, {"start": 2868.91, "end": 2869.45, "word": " اللي", "probability": 0.92822265625}, {"start": 2869.45, "end": 2869.73, "word": " هو", "probability": 0.9765625}, {"start": 2869.73, "end": 2870.21, "word": " F", "probability": 0.857421875}, {"start": 2870.21, "end": 2870.93, "word": " of", "probability": 0.94677734375}, {"start": 2870.93, "end": 2871.19, "word": " X", "probability": 0.9892578125}, {"start": 2871.19, "end": 2871.63, "word": " not", "probability": 0.91796875}, {"start": 2871.63, "end": 2872.45, "word": " زائد", "probability": 0.7755533854166666}, {"start": 2872.45, "end": 2872.69, "word": " F", "probability": 0.95263671875}, {"start": 2872.69, "end": 2873.23, "word": " prime", "probability": 0.68505859375}, {"start": 2873.23, "end": 2873.53, "word": " of", "probability": 0.97705078125}, {"start": 2873.53, "end": 2873.77, "word": " X", "probability": 0.99072265625}, {"start": 2873.77, "end": 2874.27, "word": " not", "probability": 0.9541015625}, {"start": 2874.27, "end": 2874.93, "word": " على", "probability": 0.70361328125}, {"start": 2874.93, "end": 2875.89, "word": " واحد", "probability": 0.812255859375}, {"start": 2875.89, "end": 2876.45, "word": " factorial", "probability": 0.236328125}, {"start": 2876.45, "end": 2877.13, "word": " في", "probability": 0.94140625}, {"start": 2877.13, "end": 2877.41, "word": " X", "probability": 0.95361328125}, {"start": 2877.41, "end": 2877.75, "word": " minus", "probability": 0.9765625}, {"start": 2877.75, "end": 2878.05, "word": " X", "probability": 0.9951171875}, {"start": 2878.05, "end": 2878.49, "word": " not", "probability": 0.958984375}, {"start": 2878.49, "end": 2879.41, "word": " زائد", "probability": 0.9661458333333334}, {"start": 2879.41, "end": 2880.21, "word": " زائد", "probability": 0.96142578125}, {"start": 2880.21, "end": 2880.61, "word": " F", "probability": 0.9814453125}], "temperature": 1.0}, {"id": 130, "seek": 290867, "start": 2880.93, "end": 2908.67, "text": "n of x0 على n factorial في x minus x0 الكلوس n زائد ال remainder اللي هو fn زائد واحد of اللي هي ال c اللي لاجيناها there exists c اللي هي of c طبعا ال c هنا هتعتمد على ال n اللي احنا اختار��اها واشتغلنا عليها هو مسميها cn على اللي هو n زائد واحد factorial في x", "tokens": [77, 295, 2031, 15, 15844, 297, 36916, 8978, 2031, 3175, 2031, 15, 2423, 28820, 2407, 3794, 297, 30767, 16373, 3215, 2423, 29837, 13672, 1829, 31439, 283, 77, 30767, 16373, 3215, 36764, 24401, 295, 13672, 1829, 39896, 2423, 269, 13672, 1829, 20193, 7435, 1829, 8315, 11296, 456, 8198, 269, 13672, 1829, 39896, 295, 269, 23032, 3555, 3615, 995, 2423, 269, 34105, 8032, 2655, 34268, 2304, 3215, 15844, 2423, 297, 13672, 1829, 1975, 5016, 8315, 1975, 46456, 9640, 8315, 11296, 4032, 33599, 2655, 17082, 1211, 8315, 25894, 11296, 31439, 3714, 38251, 1829, 11296, 269, 77, 15844, 13672, 1829, 31439, 297, 30767, 16373, 3215, 36764, 24401, 36916, 8978, 2031], "avg_logprob": -0.23817172479406695, "compression_ratio": 1.8942307692307692, "no_speech_prob": 3.403425216674805e-05, "words": [{"start": 2880.93, "end": 2881.43, "word": "n", "probability": 0.1082763671875}, {"start": 2881.43, "end": 2882.13, "word": " of", "probability": 0.634765625}, {"start": 2882.13, "end": 2882.91, "word": " x0", "probability": 0.47906494140625}, {"start": 2882.91, "end": 2883.51, "word": " على", "probability": 0.391845703125}, {"start": 2883.51, "end": 2883.75, "word": " n", "probability": 0.841796875}, {"start": 2883.75, "end": 2884.35, "word": " factorial", "probability": 0.251708984375}, {"start": 2884.35, "end": 2884.67, "word": " في", "probability": 0.74609375}, {"start": 2884.67, "end": 2884.91, "word": " x", "probability": 0.91015625}, {"start": 2884.91, "end": 2885.27, "word": " minus", "probability": 0.8447265625}, {"start": 2885.27, "end": 2885.91, "word": " x0", "probability": 0.960205078125}, {"start": 2885.91, "end": 2886.73, "word": " الكلوس", "probability": 0.57720947265625}, {"start": 2886.73, "end": 2887.01, "word": " n", "probability": 0.6630859375}, {"start": 2887.01, "end": 2887.77, "word": " زائد", "probability": 0.8720703125}, {"start": 2887.77, "end": 2887.93, "word": " ال", "probability": 0.83642578125}, {"start": 2887.93, "end": 2888.55, "word": " remainder", "probability": 0.31689453125}, {"start": 2888.55, "end": 2889.25, "word": " اللي", "probability": 0.74853515625}, {"start": 2889.25, "end": 2889.39, "word": " هو", "probability": 0.97509765625}, {"start": 2889.39, "end": 2889.89, "word": " fn", "probability": 0.642333984375}, {"start": 2889.89, "end": 2890.37, "word": " زائد", "probability": 0.9453125}, {"start": 2890.37, "end": 2890.89, "word": " واحد", "probability": 0.841796875}, {"start": 2890.89, "end": 2891.61, "word": " of", "probability": 0.9697265625}, {"start": 2891.61, "end": 2891.95, "word": " اللي", "probability": 0.889404296875}, {"start": 2891.95, "end": 2892.09, "word": " هي", "probability": 0.6875}, {"start": 2892.09, "end": 2892.31, "word": " ال", "probability": 0.658203125}, {"start": 2892.31, "end": 2892.43, "word": " c", "probability": 0.32373046875}, {"start": 2892.43, "end": 2892.61, "word": " اللي", "probability": 0.982666015625}, {"start": 2892.61, "end": 2893.29, "word": " لاجيناها", "probability": 0.77626953125}, {"start": 2893.29, "end": 2893.83, "word": " there", "probability": 0.68017578125}, {"start": 2893.83, "end": 2894.15, "word": " exists", "probability": 0.7734375}, {"start": 2894.15, "end": 2894.67, "word": " c", "probability": 0.85986328125}, {"start": 2894.67, "end": 2895.49, "word": " اللي", "probability": 0.96142578125}, {"start": 2895.49, "end": 2895.73, "word": " هي", "probability": 0.87353515625}, {"start": 2895.73, "end": 2896.01, "word": " of", "probability": 0.98046875}, {"start": 2896.01, "end": 2896.49, "word": " c", "probability": 0.89501953125}, {"start": 2896.49, "end": 2897.23, "word": " طبعا", "probability": 0.9158935546875}, {"start": 2897.23, "end": 2897.31, "word": " ال", "probability": 0.95263671875}, {"start": 2897.31, "end": 2897.43, "word": " c", "probability": 0.76513671875}, {"start": 2897.43, "end": 2897.61, "word": " هنا", "probability": 0.421875}, {"start": 2897.61, "end": 2898.13, "word": " هتعتمد", "probability": 0.781787109375}, {"start": 2898.13, "end": 2898.27, "word": " على", "probability": 0.8349609375}, {"start": 2898.27, "end": 2898.39, "word": " ال", "probability": 0.95703125}, {"start": 2898.39, "end": 2898.53, "word": " n", "probability": 0.91259765625}, {"start": 2898.53, "end": 2898.77, "word": " اللي", "probability": 0.98583984375}, {"start": 2898.77, "end": 2899.17, "word": " احنا", "probability": 0.9267578125}, {"start": 2899.17, "end": 2900.11, "word": " اختارناها", "probability": 0.878515625}, {"start": 2900.11, "end": 2900.61, "word": " واشتغلنا", "probability": 0.9521484375}, {"start": 2900.61, "end": 2901.07, "word": " عليها", "probability": 0.993896484375}, {"start": 2901.07, "end": 2901.55, "word": " هو", "probability": 0.62060546875}, {"start": 2901.55, "end": 2901.97, "word": " مسميها", "probability": 0.871826171875}, {"start": 2901.97, "end": 2902.45, "word": " cn", "probability": 0.808349609375}, {"start": 2902.45, "end": 2904.23, "word": " على", "probability": 0.7822265625}, {"start": 2904.23, "end": 2904.59, "word": " اللي", "probability": 0.989013671875}, {"start": 2904.59, "end": 2904.85, "word": " هو", "probability": 0.982421875}, {"start": 2904.85, "end": 2905.55, "word": " n", "probability": 0.857421875}, {"start": 2905.55, "end": 2906.25, "word": " زائد", "probability": 0.9645182291666666}, {"start": 2906.25, "end": 2906.69, "word": " واحد", "probability": 0.9765625}, {"start": 2906.69, "end": 2907.27, "word": " factorial", "probability": 0.68798828125}, {"start": 2907.27, "end": 2908.21, "word": " في", "probability": 0.9833984375}, {"start": 2908.21, "end": 2908.67, "word": " x", "probability": 0.96533203125}], "temperature": 1.0}, {"id": 131, "seek": 293692, "start": 2913.18, "end": 2936.92, "text": "الـ N هو ما خدها لعند مين بدل ما هو remainder N زائد واحد نسميه remainder N نفس الشيء مافيش مشكلة احنا كملناها يعني بدل ما اشتغل على N زي ما اشتغل على N زائد واحد اشتغل على ال N هو اما هي ال Taylor's theorem طيب المهم انتبهوا عن دي", "tokens": [6027, 39184, 426, 31439, 19446, 16490, 3215, 11296, 5296, 3615, 41260, 3714, 9957, 47525, 1211, 19446, 31439, 29837, 426, 30767, 16373, 3215, 36764, 24401, 8717, 38251, 1829, 3224, 29837, 426, 8717, 36178, 25124, 1829, 38207, 19446, 41185, 8592, 37893, 28820, 3660, 1975, 5016, 8315, 9122, 42213, 8315, 11296, 37495, 22653, 47525, 1211, 19446, 1975, 8592, 2655, 17082, 1211, 15844, 426, 30767, 1829, 19446, 1975, 8592, 2655, 17082, 1211, 15844, 426, 30767, 16373, 3215, 36764, 24401, 1975, 8592, 2655, 17082, 1211, 15844, 2423, 426, 31439, 1975, 15042, 39896, 2423, 12060, 311, 20904, 23032, 1829, 3555, 9673, 16095, 16472, 2655, 3555, 3224, 14407, 18871, 11778, 1829], "avg_logprob": -0.2776785827818371, "compression_ratio": 1.776190476190476, "no_speech_prob": 1.430511474609375e-06, "words": [{"start": 2913.1800000000003, "end": 2913.82, "word": "الـ", "probability": 0.17578125}, {"start": 2913.82, "end": 2913.98, "word": " N", "probability": 0.346435546875}, {"start": 2913.98, "end": 2917.92, "word": " هو", "probability": 0.392578125}, {"start": 2917.92, "end": 2918.1, "word": " ما", "probability": 0.7236328125}, {"start": 2918.1, "end": 2918.58, "word": " خدها", "probability": 0.7674153645833334}, {"start": 2918.58, "end": 2919.26, "word": " لعند", "probability": 0.87646484375}, {"start": 2919.26, "end": 2919.62, "word": " مين", "probability": 0.934814453125}, {"start": 2919.62, "end": 2920.38, "word": " بدل", "probability": 0.94580078125}, {"start": 2920.38, "end": 2920.46, "word": " ما", "probability": 0.9306640625}, {"start": 2920.46, "end": 2920.82, "word": " هو", "probability": 0.94970703125}, {"start": 2920.82, "end": 2921.46, "word": " remainder", "probability": 0.42724609375}, {"start": 2921.46, "end": 2922.0, "word": " N", "probability": 0.461181640625}, {"start": 2922.0, "end": 2922.32, "word": " زائد", "probability": 0.5600179036458334}, {"start": 2922.32, "end": 2922.58, "word": " واحد", "probability": 0.89794921875}, {"start": 2922.58, "end": 2923.06, "word": " نسميه", "probability": 0.8895263671875}, {"start": 2923.06, "end": 2923.38, "word": " remainder", "probability": 0.92529296875}, {"start": 2923.38, "end": 2923.7, "word": " N", "probability": 0.81201171875}, {"start": 2923.7, "end": 2924.22, "word": " نفس", "probability": 0.921142578125}, {"start": 2924.22, "end": 2924.68, "word": " الشيء", "probability": 0.767333984375}, {"start": 2924.68, "end": 2924.98, "word": " مافيش", "probability": 0.5638020833333334}, {"start": 2924.98, "end": 2925.46, "word": " مشكلة", "probability": 0.98095703125}, {"start": 2925.46, "end": 2925.88, "word": " احنا", "probability": 0.6276041666666666}, {"start": 2925.88, "end": 2926.94, "word": " كملناها", "probability": 0.8466796875}, {"start": 2926.94, "end": 2927.82, "word": " يعني", "probability": 0.857421875}, {"start": 2927.82, "end": 2928.6, "word": " بدل", "probability": 0.994384765625}, {"start": 2928.6, "end": 2928.68, "word": " ما", "probability": 0.76220703125}, {"start": 2928.68, "end": 2929.56, "word": " اشتغل", "probability": 0.91357421875}, {"start": 2929.56, "end": 2929.74, "word": " على", "probability": 0.8232421875}, {"start": 2929.74, "end": 2930.02, "word": " N", "probability": 0.91357421875}, {"start": 2930.02, "end": 2930.22, "word": " زي", "probability": 0.6436767578125}, {"start": 2930.22, "end": 2930.32, "word": " ما", "probability": 0.8916015625}, {"start": 2930.32, "end": 2930.76, "word": " اشتغل", "probability": 0.96328125}, {"start": 2930.76, "end": 2931.76, "word": " على", "probability": 0.64404296875}, {"start": 2931.76, "end": 2931.88, "word": " N", "probability": 0.75830078125}, {"start": 2931.88, "end": 2932.12, "word": " زائد", "probability": 0.8180338541666666}, {"start": 2932.12, "end": 2932.24, "word": " واحد", "probability": 0.984130859375}, {"start": 2932.24, "end": 2932.54, "word": " اشتغل", "probability": 0.9703125}, {"start": 2932.54, "end": 2932.64, "word": " على", "probability": 0.9013671875}, {"start": 2932.64, "end": 2932.84, "word": " ال", "probability": 0.64599609375}, {"start": 2932.84, "end": 2932.88, "word": " N", "probability": 0.365478515625}, {"start": 2932.88, "end": 2933.14, "word": " هو", "probability": 0.87353515625}, {"start": 2933.14, "end": 2933.6, "word": " اما", "probability": 0.76220703125}, {"start": 2933.6, "end": 2933.82, "word": " هي", "probability": 0.84814453125}, {"start": 2933.82, "end": 2933.98, "word": " ال", "probability": 0.63720703125}, {"start": 2933.98, "end": 2934.46, "word": " Taylor's", "probability": 0.4742431640625}, {"start": 2934.46, "end": 2934.72, "word": " theorem", "probability": 0.6044921875}, {"start": 2934.72, "end": 2935.14, "word": " طيب", "probability": 0.7963053385416666}, {"start": 2935.14, "end": 2935.88, "word": " المهم", "probability": 0.926025390625}, {"start": 2935.88, "end": 2936.64, "word": " انتبهوا", "probability": 0.88671875}, {"start": 2936.64, "end": 2936.8, "word": " عن", "probability": 0.7177734375}, {"start": 2936.8, "end": 2936.92, "word": " دي", "probability": 0.791015625}], "temperature": 1.0}, {"id": 132, "seek": 295380, "start": 2938.36, "end": 2953.8, "text": "لنبن Taylor's theorem على ال interval Ix اللي X0 بيساوي 0 وخلّينا نستخدم Fk of 0 اللي كتبتها هناك اللي هو هتساوي Fk of 0 هتساوي 0 دايما اللي هو و لكل k element n it follows that", "tokens": [1211, 1863, 3555, 1863, 12060, 311, 20904, 15844, 2423, 15035, 286, 87, 13672, 1829, 1783, 15, 4724, 1829, 3794, 995, 45865, 1958, 4032, 9778, 1211, 11703, 9957, 995, 8717, 14851, 9778, 40448, 479, 74, 295, 1958, 13672, 1829, 9122, 2655, 3555, 2655, 11296, 34105, 4117, 13672, 1829, 31439, 8032, 2655, 3794, 995, 45865, 479, 74, 295, 1958, 8032, 2655, 3794, 995, 45865, 1958, 11778, 47302, 15042, 13672, 1829, 31439, 4032, 5296, 28820, 350, 4478, 297, 309, 10002, 300], "avg_logprob": -0.31348892329614375, "compression_ratio": 1.4545454545454546, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2938.36, "end": 2938.94, "word": "لنبن", "probability": 0.619873046875}, {"start": 2938.94, "end": 2939.46, "word": " Taylor's", "probability": 0.5565185546875}, {"start": 2939.46, "end": 2939.88, "word": " theorem", "probability": 0.79833984375}, {"start": 2939.88, "end": 2940.32, "word": " على", "probability": 0.75341796875}, {"start": 2940.32, "end": 2940.46, "word": " ال", "probability": 0.93505859375}, {"start": 2940.46, "end": 2940.8, "word": " interval", "probability": 0.23974609375}, {"start": 2940.8, "end": 2941.58, "word": " Ix", "probability": 0.5030517578125}, {"start": 2941.58, "end": 2942.44, "word": " اللي", "probability": 0.7164306640625}, {"start": 2942.44, "end": 2942.84, "word": " X0", "probability": 0.381591796875}, {"start": 2942.84, "end": 2943.2, "word": " بيساوي", "probability": 0.70390625}, {"start": 2943.2, "end": 2943.58, "word": " 0", "probability": 0.537109375}, {"start": 2943.58, "end": 2944.9, "word": " وخلّينا", "probability": 0.7340494791666666}, {"start": 2944.9, "end": 2945.44, "word": " نستخدم", "probability": 0.9921875}, {"start": 2945.44, "end": 2945.88, "word": " Fk", "probability": 0.597900390625}, {"start": 2945.88, "end": 2946.06, "word": " of", "probability": 0.56787109375}, {"start": 2946.06, "end": 2946.36, "word": " 0", "probability": 0.65283203125}, {"start": 2946.36, "end": 2946.48, "word": " اللي", "probability": 0.982666015625}, {"start": 2946.48, "end": 2946.92, "word": " كتبتها", "probability": 0.9509765625}, {"start": 2946.92, "end": 2947.54, "word": " هناك", "probability": 0.99462890625}, {"start": 2947.54, "end": 2947.92, "word": " اللي", "probability": 0.9697265625}, {"start": 2947.92, "end": 2948.04, "word": " هو", "probability": 0.46484375}, {"start": 2948.04, "end": 2948.42, "word": " هتساوي", "probability": 0.857861328125}, {"start": 2948.42, "end": 2948.68, "word": " Fk", "probability": 0.752685546875}, {"start": 2948.68, "end": 2948.68, "word": " of", "probability": 0.646484375}, {"start": 2948.68, "end": 2948.86, "word": " 0", "probability": 0.90185546875}, {"start": 2948.86, "end": 2949.3, "word": " هتساوي", "probability": 0.820849609375}, {"start": 2949.3, "end": 2949.54, "word": " 0", "probability": 0.8193359375}, {"start": 2949.54, "end": 2949.98, "word": " دايما", "probability": 0.9420572916666666}, {"start": 2949.98, "end": 2950.82, "word": " اللي", "probability": 0.6790771484375}, {"start": 2950.82, "end": 2951.1, "word": " هو", "probability": 0.98974609375}, {"start": 2951.1, "end": 2951.38, "word": " و", "probability": 0.4599609375}, {"start": 2951.38, "end": 2951.76, "word": " لكل", "probability": 0.810791015625}, {"start": 2951.76, "end": 2952.02, "word": " k", "probability": 0.61328125}, {"start": 2952.02, "end": 2952.36, "word": " element", "probability": 0.91015625}, {"start": 2952.36, "end": 2952.7, "word": " n", "probability": 0.5966796875}, {"start": 2952.7, "end": 2953.12, "word": " it", "probability": 0.84716796875}, {"start": 2953.12, "end": 2953.44, "word": " follows", "probability": 0.86669921875}, {"start": 2953.44, "end": 2953.8, "word": " that", "probability": 0.92724609375}], "temperature": 1.0}, {"id": 133, "seek": 297974, "start": 2954.0, "end": 2979.74, "text": "for each n unlimited on there exist a point cn unlimited on x هذه اللي هي ال cn بتعتمد على مين على n يعني الأن لو أخدت ببدل اللي هنا على اللي هي on بتساوي مثلا اتنين أخد on بتساوي تلتة أخد بتساوي on بتساوي أربعة ده هتختلف من ال cn اللي بنلاقيها such that f of x بيساوي f of zero زيد f prime of zero على واحد factorial في x", "tokens": [2994, 1184, 297, 21950, 322, 456, 2514, 257, 935, 269, 77, 21950, 322, 2031, 29538, 13672, 1829, 39896, 2423, 269, 77, 39894, 34268, 2304, 3215, 15844, 3714, 9957, 15844, 297, 37495, 22653, 16247, 1863, 45164, 5551, 9778, 3215, 2655, 4724, 44510, 1211, 13672, 1829, 34105, 15844, 13672, 1829, 39896, 322, 39894, 3794, 995, 45865, 50113, 15040, 1975, 2655, 1863, 9957, 5551, 9778, 3215, 322, 39894, 3794, 995, 45865, 6055, 1211, 2655, 3660, 5551, 9778, 3215, 39894, 3794, 995, 45865, 322, 39894, 3794, 995, 45865, 5551, 25513, 27884, 11778, 3224, 8032, 2655, 46456, 46538, 9154, 2423, 269, 77, 13672, 1829, 44945, 15040, 38436, 11296, 1270, 300, 283, 295, 2031, 4724, 1829, 3794, 995, 45865, 283, 295, 4018, 30767, 1829, 3215, 283, 5835, 295, 4018, 15844, 36764, 24401, 36916, 8978, 2031], "avg_logprob": -0.29447116118211014, "compression_ratio": 1.8509803921568628, "no_speech_prob": 1.6689300537109375e-05, "words": [{"start": 2954.0, "end": 2954.54, "word": "for", "probability": 0.46875}, {"start": 2954.54, "end": 2954.92, "word": " each", "probability": 0.9580078125}, {"start": 2954.92, "end": 2955.16, "word": " n", "probability": 0.39013671875}, {"start": 2955.16, "end": 2955.5, "word": " unlimited", "probability": 0.31005859375}, {"start": 2955.5, "end": 2955.74, "word": " on", "probability": 0.2000732421875}, {"start": 2955.74, "end": 2955.92, "word": " there", "probability": 0.412109375}, {"start": 2955.92, "end": 2956.44, "word": " exist", "probability": 0.5048828125}, {"start": 2956.44, "end": 2956.62, "word": " a", "probability": 0.8310546875}, {"start": 2956.62, "end": 2957.18, "word": " point", "probability": 0.9775390625}, {"start": 2957.18, "end": 2958.18, "word": " cn", "probability": 0.558837890625}, {"start": 2958.18, "end": 2958.46, "word": " unlimited", "probability": 0.76611328125}, {"start": 2958.46, "end": 2958.6, "word": " on", "probability": 0.443359375}, {"start": 2958.6, "end": 2958.9, "word": " x", "probability": 0.43115234375}, {"start": 2958.9, "end": 2959.36, "word": " هذه", "probability": 0.3173828125}, {"start": 2959.36, "end": 2959.66, "word": " اللي", "probability": 0.67529296875}, {"start": 2959.66, "end": 2960.0, "word": " هي", "probability": 0.7021484375}, {"start": 2960.0, "end": 2960.32, "word": " ال", "probability": 0.82861328125}, {"start": 2960.32, "end": 2960.64, "word": " cn", "probability": 0.6981201171875}, {"start": 2960.64, "end": 2961.02, "word": " بتعتمد", "probability": 0.881103515625}, {"start": 2961.02, "end": 2961.28, "word": " على", "probability": 0.82568359375}, {"start": 2961.28, "end": 2961.44, "word": " مين", "probability": 0.7294921875}, {"start": 2961.44, "end": 2961.62, "word": " على", "probability": 0.5673828125}, {"start": 2961.62, "end": 2961.88, "word": " n", "probability": 0.771484375}, {"start": 2961.88, "end": 2962.46, "word": " يعني", "probability": 0.9306640625}, {"start": 2962.46, "end": 2962.7, "word": " الأن", "probability": 0.626953125}, {"start": 2962.7, "end": 2962.84, "word": " لو", "probability": 0.9736328125}, {"start": 2962.84, "end": 2963.28, "word": " أخدت", "probability": 0.9385986328125}, {"start": 2963.28, "end": 2963.92, "word": " ببدل", "probability": 0.61376953125}, {"start": 2963.92, "end": 2964.12, "word": " اللي", "probability": 0.947509765625}, {"start": 2964.12, "end": 2964.48, "word": " هنا", "probability": 0.378173828125}, {"start": 2964.48, "end": 2965.28, "word": " على", "probability": 0.89697265625}, {"start": 2965.28, "end": 2966.14, "word": " اللي", "probability": 0.95947265625}, {"start": 2966.14, "end": 2966.34, "word": " هي", "probability": 0.424560546875}, {"start": 2966.34, "end": 2966.5, "word": " on", "probability": 0.298828125}, {"start": 2966.5, "end": 2967.08, "word": " بتساوي", "probability": 0.77545166015625}, {"start": 2967.08, "end": 2967.54, "word": " مثلا", "probability": 0.8935546875}, {"start": 2967.54, "end": 2968.14, "word": " اتنين", "probability": 0.86492919921875}, {"start": 2968.14, "end": 2968.72, "word": " أخد", "probability": 0.8372395833333334}, {"start": 2968.72, "end": 2968.86, "word": " on", "probability": 0.9072265625}, {"start": 2968.86, "end": 2969.2, "word": " بتساوي", "probability": 0.9742431640625}, {"start": 2969.2, "end": 2969.52, "word": " تلتة", "probability": 0.8402099609375}, {"start": 2969.52, "end": 2969.74, "word": " أخد", "probability": 0.8987630208333334}, {"start": 2969.74, "end": 2970.14, "word": " بتساوي", "probability": 0.9180908203125}, {"start": 2970.14, "end": 2970.36, "word": " on", "probability": 0.8759765625}, {"start": 2970.36, "end": 2970.7, "word": " بتساوي", "probability": 0.98046875}, {"start": 2970.7, "end": 2970.96, "word": " أربعة", "probability": 0.79443359375}, {"start": 2970.96, "end": 2971.08, "word": " ده", "probability": 0.484619140625}, {"start": 2971.08, "end": 2971.66, "word": " هتختلف", "probability": 0.8743896484375}, {"start": 2971.66, "end": 2971.82, "word": " من", "probability": 0.7841796875}, {"start": 2971.82, "end": 2972.06, "word": " ال", "probability": 0.93408203125}, {"start": 2972.06, "end": 2972.44, "word": " cn", "probability": 0.848876953125}, {"start": 2972.44, "end": 2972.68, "word": " اللي", "probability": 0.990966796875}, {"start": 2972.68, "end": 2973.26, "word": " بنلاقيها", "probability": 0.746826171875}, {"start": 2973.26, "end": 2973.84, "word": " such", "probability": 0.849609375}, {"start": 2973.84, "end": 2974.5, "word": " that", "probability": 0.94921875}, {"start": 2974.5, "end": 2974.8, "word": " f", "probability": 0.51025390625}, {"start": 2974.8, "end": 2974.96, "word": " of", "probability": 0.53369140625}, {"start": 2974.96, "end": 2975.16, "word": " x", "probability": 0.96630859375}, {"start": 2975.16, "end": 2975.52, "word": " بيساوي", "probability": 0.846875}, {"start": 2975.52, "end": 2975.74, "word": " f", "probability": 0.712890625}, {"start": 2975.74, "end": 2975.9, "word": " of", "probability": 0.9267578125}, {"start": 2975.9, "end": 2976.32, "word": " zero", "probability": 0.59716796875}, {"start": 2976.32, "end": 2977.14, "word": " زيد", "probability": 0.5794270833333334}, {"start": 2977.14, "end": 2977.28, "word": " f", "probability": 0.8388671875}, {"start": 2977.28, "end": 2977.56, "word": " prime", "probability": 0.7841796875}, {"start": 2977.56, "end": 2977.68, "word": " of", "probability": 0.9541015625}, {"start": 2977.68, "end": 2977.92, "word": " zero", "probability": 0.8388671875}, {"start": 2977.92, "end": 2978.04, "word": " على", "probability": 0.42236328125}, {"start": 2978.04, "end": 2978.26, "word": " واحد", "probability": 0.987548828125}, {"start": 2978.26, "end": 2978.84, "word": " factorial", "probability": 0.71337890625}, {"start": 2978.84, "end": 2979.42, "word": " في", "probability": 0.849609375}, {"start": 2979.42, "end": 2979.74, "word": " x", "probability": 0.85693359375}], "temperature": 1.0}, {"id": 134, "seek": 299863, "start": 2980.09, "end": 2998.63, "text": "طبعاً نقص صفر X هتظلها زائد FN نقص واحد لأن نقص واحد factorial في X minus X note اللي هي صفر طبعاً هتصير X نقص واحد زائد FN of CN على N factorial X أثن يعني هنا ناخد ال remainder اللي هو RN مش RN زائد واحد زي ما نعمله طبعاً ماتفرجش", "tokens": [9566, 3555, 3615, 995, 14111, 8717, 4587, 9381, 20328, 5172, 2288, 1783, 8032, 2655, 19913, 1211, 11296, 30767, 16373, 3215, 479, 45, 8717, 4587, 9381, 36764, 24401, 5296, 33456, 8717, 4587, 9381, 36764, 24401, 36916, 8978, 1783, 3175, 1783, 3637, 13672, 1829, 39896, 20328, 5172, 2288, 23032, 3555, 3615, 995, 14111, 8032, 2655, 9381, 13546, 1783, 8717, 4587, 9381, 36764, 24401, 30767, 16373, 3215, 479, 45, 295, 14589, 15844, 426, 36916, 1783, 5551, 12984, 1863, 37495, 22653, 34105, 8717, 47283, 3215, 2423, 29837, 13672, 1829, 31439, 45702, 37893, 45702, 30767, 16373, 3215, 36764, 24401, 30767, 1829, 19446, 8717, 25957, 43761, 23032, 3555, 3615, 995, 14111, 3714, 9307, 5172, 47341, 8592], "avg_logprob": -0.2840653249809334, "compression_ratio": 1.7414634146341463, "no_speech_prob": 1.9431114196777344e-05, "words": [{"start": 2980.09, "end": 2980.81, "word": "طبعاً", "probability": 0.62764892578125}, {"start": 2980.81, "end": 2981.21, "word": " نقص", "probability": 0.6753743489583334}, {"start": 2981.21, "end": 2981.51, "word": " صفر", "probability": 0.6060791015625}, {"start": 2981.51, "end": 2981.75, "word": " X", "probability": 0.5869140625}, {"start": 2981.75, "end": 2982.25, "word": " هتظلها", "probability": 0.78486328125}, {"start": 2982.25, "end": 2982.75, "word": " زائد", "probability": 0.6409505208333334}, {"start": 2982.75, "end": 2983.33, "word": " FN", "probability": 0.4775390625}, {"start": 2983.33, "end": 2983.61, "word": " نقص", "probability": 0.9541015625}, {"start": 2983.61, "end": 2983.89, "word": " واحد", "probability": 0.95703125}, {"start": 2983.89, "end": 2984.13, "word": " لأن", "probability": 0.340972900390625}, {"start": 2984.13, "end": 2984.39, "word": " نقص", "probability": 0.96826171875}, {"start": 2984.39, "end": 2984.65, "word": " واحد", "probability": 0.992919921875}, {"start": 2984.65, "end": 2985.11, "word": " factorial", "probability": 0.399658203125}, {"start": 2985.11, "end": 2985.75, "word": " في", "probability": 0.74755859375}, {"start": 2985.75, "end": 2986.01, "word": " X", "probability": 0.9150390625}, {"start": 2986.01, "end": 2986.37, "word": " minus", "probability": 0.82275390625}, {"start": 2986.37, "end": 2986.63, "word": " X", "probability": 0.9853515625}, {"start": 2986.63, "end": 2986.83, "word": " note", "probability": 0.25244140625}, {"start": 2986.83, "end": 2986.93, "word": " اللي", "probability": 0.834716796875}, {"start": 2986.93, "end": 2987.05, "word": " هي", "probability": 0.85302734375}, {"start": 2987.05, "end": 2987.33, "word": " صفر", "probability": 0.8723958333333334}, {"start": 2987.33, "end": 2987.63, "word": " طبعاً", "probability": 0.8921875}, {"start": 2987.63, "end": 2988.01, "word": " هتصير", "probability": 0.8204345703125}, {"start": 2988.01, "end": 2988.15, "word": " X", "probability": 0.89306640625}, {"start": 2988.15, "end": 2988.65, "word": " نقص", "probability": 0.6768798828125}, {"start": 2988.65, "end": 2989.03, "word": " واحد", "probability": 0.97607421875}, {"start": 2989.03, "end": 2989.83, "word": " زائد", "probability": 0.8927408854166666}, {"start": 2989.83, "end": 2990.35, "word": " FN", "probability": 0.931396484375}, {"start": 2990.35, "end": 2990.57, "word": " of", "probability": 0.9296875}, {"start": 2990.57, "end": 2991.01, "word": " CN", "probability": 0.740234375}, {"start": 2991.01, "end": 2991.55, "word": " على", "probability": 0.4033203125}, {"start": 2991.55, "end": 2991.75, "word": " N", "probability": 0.87158203125}, {"start": 2991.75, "end": 2992.23, "word": " factorial", "probability": 0.7724609375}, {"start": 2992.23, "end": 2992.83, "word": " X", "probability": 0.96337890625}, {"start": 2992.83, "end": 2993.61, "word": " أثن", "probability": 0.6719563802083334}, {"start": 2993.61, "end": 2994.21, "word": " يعني", "probability": 0.7232666015625}, {"start": 2994.21, "end": 2994.45, "word": " هنا", "probability": 0.68896484375}, {"start": 2994.45, "end": 2994.83, "word": " ناخد", "probability": 0.9025065104166666}, {"start": 2994.83, "end": 2994.93, "word": " ال", "probability": 0.83984375}, {"start": 2994.93, "end": 2995.21, "word": " remainder", "probability": 0.7626953125}, {"start": 2995.21, "end": 2995.45, "word": " اللي", "probability": 0.96337890625}, {"start": 2995.45, "end": 2995.63, "word": " هو", "probability": 0.97998046875}, {"start": 2995.63, "end": 2995.97, "word": " RN", "probability": 0.8095703125}, {"start": 2995.97, "end": 2996.19, "word": " مش", "probability": 0.98486328125}, {"start": 2996.19, "end": 2996.53, "word": " RN", "probability": 0.91064453125}, {"start": 2996.53, "end": 2996.81, "word": " زائد", "probability": 0.92578125}, {"start": 2996.81, "end": 2997.05, "word": " واحد", "probability": 0.861328125}, {"start": 2997.05, "end": 2997.21, "word": " زي", "probability": 0.974853515625}, {"start": 2997.21, "end": 2997.27, "word": " ما", "probability": 0.97802734375}, {"start": 2997.27, "end": 2997.69, "word": " نعمله", "probability": 0.8499348958333334}, {"start": 2997.69, "end": 2998.17, "word": " طبعاً", "probability": 0.87236328125}, {"start": 2998.17, "end": 2998.63, "word": " ماتفرجش", "probability": 0.80556640625}], "temperature": 1.0}, {"id": 135, "seek": 302359, "start": 2999.95, "end": 3023.59, "text": "بتزيده و بتشتغل عليه نفس الاشي الان بس ال cn اللي بتختلف من n زائد واحد بصير cn زائد واحد مثلا لأنه حاجة تانية ممكن تيجي غير ال cn اللي لاجيناها حسب النظرية و يساوي لأن كل هدول التاريج زي شمال هي الصفار لإنه fk of 00 إذا هذا سفر وهذا سفر طبعا هذا عند مين محسب عند السفر وهذا عند السفر إلى آخره", "tokens": [3555, 2655, 11622, 25708, 3224, 4032, 39894, 8592, 2655, 17082, 1211, 47356, 8717, 36178, 2423, 33599, 1829, 2423, 7649, 4724, 3794, 2423, 269, 77, 13672, 1829, 39894, 46456, 46538, 9154, 297, 30767, 16373, 3215, 36764, 24401, 4724, 9381, 13546, 269, 77, 30767, 16373, 3215, 36764, 24401, 50113, 15040, 5296, 33456, 3224, 11331, 26108, 3660, 6055, 7649, 10632, 3714, 43020, 6055, 1829, 7435, 1829, 32771, 13546, 2423, 269, 77, 13672, 1829, 5296, 26108, 1829, 8315, 11296, 11331, 35457, 28239, 19913, 2288, 10632, 4032, 7251, 3794, 995, 45865, 5296, 33456, 28242, 8032, 3215, 12610, 16712, 9640, 1829, 7435, 30767, 1829, 13412, 2304, 6027, 39896, 31767, 5172, 9640, 5296, 28814, 1863, 3224, 283, 74, 295, 7143, 11933, 15730, 23758, 8608, 5172, 2288, 37037, 15730, 8608, 5172, 2288, 23032, 3555, 3615, 995, 23758, 43242, 3714, 9957, 3714, 5016, 35457, 43242, 21136, 5172, 2288, 37037, 15730, 43242, 21136, 5172, 2288, 30731, 19753, 34740, 3224], "avg_logprob": -0.24812499771515528, "compression_ratio": 1.9615384615384615, "no_speech_prob": 3.814697265625e-06, "words": [{"start": 2999.9500000000003, "end": 3000.55, "word": "بتزيده", "probability": 0.797412109375}, {"start": 3000.55, "end": 3000.71, "word": " و", "probability": 0.4736328125}, {"start": 3000.71, "end": 3001.41, "word": " بتشتغل", "probability": 0.8978515625}, {"start": 3001.41, "end": 3001.59, "word": " عليه", "probability": 0.814453125}, {"start": 3001.59, "end": 3001.81, "word": " نفس", "probability": 0.994384765625}, {"start": 3001.81, "end": 3002.35, "word": " الاشي", "probability": 0.775634765625}, {"start": 3002.35, "end": 3002.91, "word": " الان", "probability": 0.49993896484375}, {"start": 3002.91, "end": 3003.15, "word": " بس", "probability": 0.958740234375}, {"start": 3003.15, "end": 3003.31, "word": " ال", "probability": 0.9619140625}, {"start": 3003.31, "end": 3003.65, "word": " cn", "probability": 0.21673583984375}, {"start": 3003.65, "end": 3003.77, "word": " اللي", "probability": 0.80126953125}, {"start": 3003.77, "end": 3004.27, "word": " بتختلف", "probability": 0.9710286458333334}, {"start": 3004.27, "end": 3004.47, "word": " من", "probability": 0.84619140625}, {"start": 3004.47, "end": 3004.65, "word": " n", "probability": 0.64208984375}, {"start": 3004.65, "end": 3004.91, "word": " زائد", "probability": 0.6737467447916666}, {"start": 3004.91, "end": 3005.21, "word": " واحد", "probability": 0.911376953125}, {"start": 3005.21, "end": 3005.47, "word": " بصير", "probability": 0.66015625}, {"start": 3005.47, "end": 3005.75, "word": " cn", "probability": 0.76708984375}, {"start": 3005.75, "end": 3006.05, "word": " زائد", "probability": 0.8515625}, {"start": 3006.05, "end": 3006.27, "word": " واحد", "probability": 0.991455078125}, {"start": 3006.27, "end": 3006.55, "word": " مثلا", "probability": 0.8779296875}, {"start": 3006.55, "end": 3006.81, "word": " لأنه", "probability": 0.7361653645833334}, {"start": 3006.81, "end": 3007.17, "word": " حاجة", "probability": 0.9840494791666666}, {"start": 3007.17, "end": 3007.43, "word": " تانية", "probability": 0.97705078125}, {"start": 3007.43, "end": 3007.65, "word": " ممكن", "probability": 0.974853515625}, {"start": 3007.65, "end": 3008.01, "word": " تيجي", "probability": 0.97314453125}, {"start": 3008.01, "end": 3008.49, "word": " غير", "probability": 0.92919921875}, {"start": 3008.49, "end": 3008.61, "word": " ال", "probability": 0.98193359375}, {"start": 3008.61, "end": 3008.89, "word": " cn", "probability": 0.734375}, {"start": 3008.89, "end": 3009.03, "word": " اللي", "probability": 0.984619140625}, {"start": 3009.03, "end": 3009.51, "word": " لاجيناها", "probability": 0.80380859375}, {"start": 3009.51, "end": 3010.07, "word": " حسب", "probability": 0.853515625}, {"start": 3010.07, "end": 3010.51, "word": " النظرية", "probability": 0.7054443359375}, {"start": 3010.51, "end": 3010.89, "word": " و", "probability": 0.80908203125}, {"start": 3010.89, "end": 3011.29, "word": " يساوي", "probability": 0.7410888671875}, {"start": 3011.29, "end": 3011.79, "word": " لأن", "probability": 0.7666015625}, {"start": 3011.79, "end": 3012.07, "word": " كل", "probability": 0.96728515625}, {"start": 3012.07, "end": 3012.49, "word": " هدول", "probability": 0.8948567708333334}, {"start": 3012.49, "end": 3013.01, "word": " التاريج", "probability": 0.43035888671875}, {"start": 3013.01, "end": 3013.17, "word": " زي", "probability": 0.758544921875}, {"start": 3013.17, "end": 3013.53, "word": " شمال", "probability": 0.84130859375}, {"start": 3013.53, "end": 3013.73, "word": " هي", "probability": 0.74951171875}, {"start": 3013.73, "end": 3014.31, "word": " الصفار", "probability": 0.8435872395833334}, {"start": 3014.31, "end": 3015.29, "word": " لإنه", "probability": 0.75482177734375}, {"start": 3015.29, "end": 3016.09, "word": " fk", "probability": 0.6197509765625}, {"start": 3016.09, "end": 3016.35, "word": " of", "probability": 0.92138671875}, {"start": 3016.35, "end": 3016.97, "word": " 00", "probability": 0.315673828125}, {"start": 3016.97, "end": 3017.67, "word": " إذا", "probability": 0.68359375}, {"start": 3017.67, "end": 3017.89, "word": " هذا", "probability": 0.72998046875}, {"start": 3017.89, "end": 3018.27, "word": " سفر", "probability": 0.8136393229166666}, {"start": 3018.27, "end": 3018.57, "word": " وهذا", "probability": 0.797607421875}, {"start": 3018.57, "end": 3018.87, "word": " سفر", "probability": 0.9757486979166666}, {"start": 3018.87, "end": 3019.15, "word": " طبعا", "probability": 0.9627685546875}, {"start": 3019.15, "end": 3019.33, "word": " هذا", "probability": 0.8291015625}, {"start": 3019.33, "end": 3019.55, "word": " عند", "probability": 0.97412109375}, {"start": 3019.55, "end": 3019.75, "word": " مين", "probability": 0.888671875}, {"start": 3019.75, "end": 3020.27, "word": " محسب", "probability": 0.84375}, {"start": 3020.27, "end": 3021.29, "word": " عند", "probability": 0.74755859375}, {"start": 3021.29, "end": 3021.95, "word": " السفر", "probability": 0.9835611979166666}, {"start": 3021.95, "end": 3022.31, "word": " وهذا", "probability": 0.85009765625}, {"start": 3022.31, "end": 3022.53, "word": " عند", "probability": 0.98974609375}, {"start": 3022.53, "end": 3022.97, "word": " السفر", "probability": 0.99072265625}, {"start": 3022.97, "end": 3023.13, "word": " إلى", "probability": 0.67138671875}, {"start": 3023.13, "end": 3023.59, "word": " آخره", "probability": 0.7950846354166666}], "temperature": 1.0}, {"id": 136, "seek": 303844, "start": 3024.0, "end": 3038.44, "text": "إذا كل هذول هيكون الصفار هيظل عندى بس القيمة هذه ايش القيمة هذه اللي هي fn of cn طبيعي هتكون f of min of cn لأنه احنا عرفنا انه ال derivative f prime", "tokens": [28814, 15730, 28242, 8032, 8848, 12610, 39896, 30544, 31767, 5172, 9640, 39896, 19913, 1211, 43242, 7578, 4724, 3794, 25062, 32640, 3660, 29538, 1975, 1829, 8592, 25062, 32640, 3660, 29538, 13672, 1829, 39896, 283, 77, 295, 269, 77, 23032, 21292, 3615, 1829, 8032, 2655, 30544, 283, 295, 923, 295, 269, 77, 5296, 33456, 3224, 1975, 5016, 8315, 6225, 28480, 8315, 16472, 3224, 2423, 13760, 283, 5835], "avg_logprob": -0.37665719561504596, "compression_ratio": 1.5394736842105263, "no_speech_prob": 7.748603820800781e-07, "words": [{"start": 3024.0, "end": 3024.36, "word": "إذا", "probability": 0.48590087890625}, {"start": 3024.36, "end": 3024.74, "word": " كل", "probability": 0.7001953125}, {"start": 3024.74, "end": 3025.28, "word": " هذول", "probability": 0.550048828125}, {"start": 3025.28, "end": 3025.8, "word": " هيكون", "probability": 0.53314208984375}, {"start": 3025.8, "end": 3026.48, "word": " الصفار", "probability": 0.83935546875}, {"start": 3026.48, "end": 3027.26, "word": " هيظل", "probability": 0.7506510416666666}, {"start": 3027.26, "end": 3027.64, "word": " عندى", "probability": 0.730712890625}, {"start": 3027.64, "end": 3027.94, "word": " بس", "probability": 0.855224609375}, {"start": 3027.94, "end": 3028.58, "word": " القيمة", "probability": 0.9104817708333334}, {"start": 3028.58, "end": 3028.88, "word": " هذه", "probability": 0.623046875}, {"start": 3028.88, "end": 3029.4, "word": " ايش", "probability": 0.705810546875}, {"start": 3029.4, "end": 3029.84, "word": " القيمة", "probability": 0.9505208333333334}, {"start": 3029.84, "end": 3030.2, "word": " هذه", "probability": 0.87353515625}, {"start": 3030.2, "end": 3030.7, "word": " اللي", "probability": 0.46624755859375}, {"start": 3030.7, "end": 3030.88, "word": " هي", "probability": 0.642578125}, {"start": 3030.88, "end": 3031.56, "word": " fn", "probability": 0.3504638671875}, {"start": 3031.56, "end": 3031.82, "word": " of", "probability": 0.73583984375}, {"start": 3031.82, "end": 3032.26, "word": " cn", "probability": 0.672607421875}, {"start": 3032.26, "end": 3032.68, "word": " طبيعي", "probability": 0.9046630859375}, {"start": 3032.68, "end": 3033.08, "word": " هتكون", "probability": 0.85498046875}, {"start": 3033.08, "end": 3033.4, "word": " f", "probability": 0.68505859375}, {"start": 3033.4, "end": 3033.66, "word": " of", "probability": 0.54638671875}, {"start": 3033.66, "end": 3033.9, "word": " min", "probability": 0.2529296875}, {"start": 3033.9, "end": 3034.12, "word": " of", "probability": 0.966796875}, {"start": 3034.12, "end": 3034.46, "word": " cn", "probability": 0.955810546875}, {"start": 3034.46, "end": 3034.78, "word": " لأنه", "probability": 0.6111653645833334}, {"start": 3034.78, "end": 3035.32, "word": " احنا", "probability": 0.9591471354166666}, {"start": 3035.32, "end": 3035.98, "word": " عرفنا", "probability": 0.9866536458333334}, {"start": 3035.98, "end": 3036.26, "word": " انه", "probability": 0.5650634765625}, {"start": 3036.26, "end": 3036.34, "word": " ال", "probability": 0.6962890625}, {"start": 3036.34, "end": 3036.8, "word": " derivative", "probability": 0.884765625}, {"start": 3036.8, "end": 3037.74, "word": " f", "probability": 0.50634765625}, {"start": 3037.74, "end": 3038.44, "word": " prime", "probability": 0.497314453125}], "temperature": 1.0}, {"id": 137, "seek": 306867, "start": 3039.61, "end": 3068.67, "text": "أف دابل برايم أف تريبل كل نياش بيساوي الأف إذا حيكون أف of CN على N فيكتوريال في X أُس N إذا وصلنا له الآن أنه بعد ما طبقنا Taylor's theorem طلع عندي الآن F of X هذه اللي بنصبه إلى أن نثبتها بتساوي صفر طلعت عندي F of X بيساوي F of CN على N فيكتوريال في X أُس N", "tokens": [10721, 5172, 11778, 16758, 1211, 4724, 23557, 32640, 5551, 5172, 6055, 16572, 36150, 28242, 8717, 1829, 33599, 4724, 1829, 3794, 995, 45865, 2423, 10721, 5172, 11933, 15730, 11331, 1829, 30544, 5551, 5172, 295, 14589, 15844, 426, 8978, 4117, 2655, 13063, 1829, 6027, 8978, 1783, 5551, 10859, 3794, 426, 11933, 15730, 4032, 36520, 8315, 46740, 6024, 48506, 14739, 3224, 39182, 19446, 23032, 3555, 4587, 8315, 12060, 311, 20904, 23032, 1211, 3615, 18871, 16254, 6024, 48506, 479, 295, 1783, 29538, 13672, 1829, 44945, 9381, 3555, 3224, 30731, 14739, 8717, 12984, 3555, 2655, 11296, 39894, 3794, 995, 45865, 20328, 5172, 2288, 23032, 1211, 34268, 18871, 16254, 479, 295, 1783, 4724, 1829, 3794, 995, 45865, 479, 295, 14589, 15844, 426, 8978, 4117, 2655, 13063, 1829, 6027, 8978, 1783, 5551, 10859, 3794, 426], "avg_logprob": -0.30353682170542634, "compression_ratio": 1.7881355932203389, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 3039.61, "end": 3039.93, "word": "أف", "probability": 0.54034423828125}, {"start": 3039.93, "end": 3040.23, "word": " دابل", "probability": 0.3839111328125}, {"start": 3040.23, "end": 3040.77, "word": " برايم", "probability": 0.8956705729166666}, {"start": 3040.77, "end": 3041.07, "word": " أف", "probability": 0.753173828125}, {"start": 3041.07, "end": 3041.43, "word": " تريبل", "probability": 0.5758056640625}, {"start": 3041.43, "end": 3041.63, "word": " كل", "probability": 0.89697265625}, {"start": 3041.63, "end": 3041.87, "word": " نياش", "probability": 0.6713053385416666}, {"start": 3041.87, "end": 3042.43, "word": " بيساوي", "probability": 0.6539794921875}, {"start": 3042.43, "end": 3043.29, "word": " الأف", "probability": 0.5502115885416666}, {"start": 3043.29, "end": 3043.55, "word": " إذا", "probability": 0.662353515625}, {"start": 3043.55, "end": 3044.05, "word": " حيكون", "probability": 0.7021891276041666}, {"start": 3044.05, "end": 3044.41, "word": " أف", "probability": 0.6859130859375}, {"start": 3044.41, "end": 3044.61, "word": " of", "probability": 0.7978515625}, {"start": 3044.61, "end": 3045.03, "word": " CN", "probability": 0.158935546875}, {"start": 3045.03, "end": 3045.57, "word": " على", "probability": 0.5087890625}, {"start": 3045.57, "end": 3045.71, "word": " N", "probability": 0.6220703125}, {"start": 3045.71, "end": 3046.17, "word": " فيكتوريال", "probability": 0.7567138671875}, {"start": 3046.17, "end": 3046.33, "word": " في", "probability": 0.8837890625}, {"start": 3046.33, "end": 3046.55, "word": " X", "probability": 0.91455078125}, {"start": 3046.55, "end": 3046.79, "word": " أُس", "probability": 0.7298177083333334}, {"start": 3046.79, "end": 3046.95, "word": " N", "probability": 0.76708984375}, {"start": 3046.95, "end": 3047.71, "word": " إذا", "probability": 0.86181640625}, {"start": 3047.71, "end": 3048.89, "word": " وصلنا", "probability": 0.7805989583333334}, {"start": 3048.89, "end": 3049.11, "word": " له", "probability": 0.48583984375}, {"start": 3049.11, "end": 3049.65, "word": " الآن", "probability": 0.689208984375}, {"start": 3049.65, "end": 3050.33, "word": " أنه", "probability": 0.6978759765625}, {"start": 3050.33, "end": 3050.51, "word": " بعد", "probability": 0.9541015625}, {"start": 3050.51, "end": 3050.71, "word": " ما", "probability": 0.68798828125}, {"start": 3050.71, "end": 3051.23, "word": " طبقنا", "probability": 0.9210205078125}, {"start": 3051.23, "end": 3051.93, "word": " Taylor's", "probability": 0.5997314453125}, {"start": 3051.93, "end": 3052.59, "word": " theorem", "probability": 0.826171875}, {"start": 3052.59, "end": 3053.67, "word": " طلع", "probability": 0.9632161458333334}, {"start": 3053.67, "end": 3054.15, "word": " عندي", "probability": 0.84765625}, {"start": 3054.15, "end": 3054.79, "word": " الآن", "probability": 0.639892578125}, {"start": 3054.79, "end": 3055.83, "word": " F", "probability": 0.71630859375}, {"start": 3055.83, "end": 3056.13, "word": " of", "probability": 0.89306640625}, {"start": 3056.13, "end": 3056.57, "word": " X", "probability": 0.9951171875}, {"start": 3056.57, "end": 3057.17, "word": " هذه", "probability": 0.67333984375}, {"start": 3057.17, "end": 3058.09, "word": " اللي", "probability": 0.9658203125}, {"start": 3058.09, "end": 3059.51, "word": " بنصبه", "probability": 0.884033203125}, {"start": 3059.51, "end": 3060.21, "word": " إلى", "probability": 0.9501953125}, {"start": 3060.21, "end": 3060.65, "word": " أن", "probability": 0.60888671875}, {"start": 3060.65, "end": 3061.87, "word": " نثبتها", "probability": 0.894140625}, {"start": 3061.87, "end": 3062.83, "word": " بتساوي", "probability": 0.8990478515625}, {"start": 3062.83, "end": 3063.23, "word": " صفر", "probability": 0.7421875}, {"start": 3063.23, "end": 3063.59, "word": " طلعت", "probability": 0.9384765625}, {"start": 3063.59, "end": 3063.97, "word": " عندي", "probability": 0.928955078125}, {"start": 3063.97, "end": 3064.35, "word": " F", "probability": 0.83349609375}, {"start": 3064.35, "end": 3064.71, "word": " of", "probability": 0.94384765625}, {"start": 3064.71, "end": 3064.99, "word": " X", "probability": 0.99658203125}, {"start": 3064.99, "end": 3065.55, "word": " بيساوي", "probability": 0.867236328125}, {"start": 3065.55, "end": 3066.17, "word": " F", "probability": 0.83544921875}, {"start": 3066.17, "end": 3066.35, "word": " of", "probability": 0.97216796875}, {"start": 3066.35, "end": 3066.67, "word": " CN", "probability": 0.734375}, {"start": 3066.67, "end": 3066.87, "word": " على", "probability": 0.91748046875}, {"start": 3066.87, "end": 3067.01, "word": " N", "probability": 0.9873046875}, {"start": 3067.01, "end": 3067.53, "word": " فيكتوريال", "probability": 0.94287109375}, {"start": 3067.53, "end": 3067.73, "word": " في", "probability": 0.9638671875}, {"start": 3067.73, "end": 3068.07, "word": " X", "probability": 0.9951171875}, {"start": 3068.07, "end": 3068.47, "word": " أُس", "probability": 0.9523111979166666}, {"start": 3068.47, "end": 3068.67, "word": " N", "probability": 0.9638671875}], "temperature": 1.0}, {"id": 138, "seek": 308687, "start": 3069.29, "end": 3086.87, "text": "الان خد لل absolute value لها absolute value لل F of X هيصير اصغر او يساوي ال absolute value او بيساوي بالظبط absolute value F of C N فال absolute value", "tokens": [6027, 7649, 16490, 3215, 24976, 8236, 2158, 5296, 11296, 8236, 2158, 24976, 479, 295, 1783, 39896, 9381, 13546, 1975, 9381, 17082, 2288, 1975, 2407, 7251, 3794, 995, 45865, 2423, 8236, 2158, 1975, 2407, 4724, 1829, 3794, 995, 45865, 20666, 19913, 3555, 9566, 8236, 2158, 479, 295, 383, 426, 6156, 6027, 8236, 2158], "avg_logprob": -0.21624410264896896, "compression_ratio": 1.694915254237288, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 3069.29, "end": 3069.83, "word": "الان", "probability": 0.663818359375}, {"start": 3069.83, "end": 3070.23, "word": " خد", "probability": 0.7978515625}, {"start": 3070.23, "end": 3070.35, "word": " لل", "probability": 0.3154296875}, {"start": 3070.35, "end": 3070.77, "word": " absolute", "probability": 0.4287109375}, {"start": 3070.77, "end": 3071.43, "word": " value", "probability": 0.9892578125}, {"start": 3071.43, "end": 3071.99, "word": " لها", "probability": 0.8271484375}, {"start": 3071.99, "end": 3072.83, "word": " absolute", "probability": 0.482421875}, {"start": 3072.83, "end": 3073.49, "word": " value", "probability": 0.98974609375}, {"start": 3073.49, "end": 3073.69, "word": " لل", "probability": 0.494384765625}, {"start": 3073.69, "end": 3073.91, "word": " F", "probability": 0.44189453125}, {"start": 3073.91, "end": 3074.09, "word": " of", "probability": 0.50439453125}, {"start": 3074.09, "end": 3074.51, "word": " X", "probability": 0.9658203125}, {"start": 3074.51, "end": 3075.57, "word": " هيصير", "probability": 0.8922526041666666}, {"start": 3075.57, "end": 3076.03, "word": " اصغر", "probability": 0.8427734375}, {"start": 3076.03, "end": 3076.19, "word": " او", "probability": 0.919677734375}, {"start": 3076.19, "end": 3076.79, "word": " يساوي", "probability": 0.9632568359375}, {"start": 3076.79, "end": 3077.77, "word": " ال", "probability": 0.85009765625}, {"start": 3077.77, "end": 3078.29, "word": " absolute", "probability": 0.96142578125}, {"start": 3078.29, "end": 3079.29, "word": " value", "probability": 0.99169921875}, {"start": 3079.29, "end": 3079.69, "word": " او", "probability": 0.864013671875}, {"start": 3079.69, "end": 3080.09, "word": " بيساوي", "probability": 0.908203125}, {"start": 3080.09, "end": 3080.79, "word": " بالظبط", "probability": 0.993896484375}, {"start": 3080.79, "end": 3083.19, "word": " absolute", "probability": 0.6484375}, {"start": 3083.19, "end": 3083.65, "word": " value", "probability": 0.9853515625}, {"start": 3083.65, "end": 3083.97, "word": " F", "probability": 0.62255859375}, {"start": 3083.97, "end": 3084.75, "word": " of", "probability": 0.9140625}, {"start": 3084.75, "end": 3085.01, "word": " C", "probability": 0.529296875}, {"start": 3085.01, "end": 3085.37, "word": " N", "probability": 0.60400390625}, {"start": 3085.37, "end": 3085.89, "word": " فال", "probability": 0.8271484375}, {"start": 3085.89, "end": 3086.23, "word": " absolute", "probability": 0.943359375}, {"start": 3086.23, "end": 3086.87, "word": " value", "probability": 0.99072265625}], "temperature": 1.0}, {"id": 139, "seek": 311038, "start": 3087.4, "end": 3110.38, "text": "للـ X أُس N على N فكتوريال، مظبوط؟ لكن F of C N هذه is .. الـ F is bounded على الفترة اللي لجيناها اللي هي الفترة اليمين اللي قلت عنها اللي هي الـ I X مدان bounded قلنا هذه أصغر أو يساوي الـ K إذا هذه بيصير أصغر أو يساوي الـ K في ال absolute value X أس N على N فكتوريال نيجي الآن", "tokens": [1211, 1211, 39184, 1783, 5551, 10859, 3794, 426, 15844, 426, 6156, 4117, 2655, 13063, 1829, 6027, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 44381, 479, 295, 383, 426, 29538, 307, 4386, 2423, 39184, 479, 307, 37498, 15844, 27188, 2655, 25720, 13672, 1829, 5296, 7435, 1829, 8315, 11296, 13672, 1829, 39896, 27188, 2655, 25720, 2423, 32640, 9957, 13672, 1829, 12174, 1211, 2655, 18871, 11296, 13672, 1829, 39896, 2423, 39184, 286, 1783, 3714, 3215, 7649, 37498, 12174, 1211, 8315, 29538, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 2423, 39184, 591, 11933, 15730, 29538, 4724, 1829, 9381, 13546, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 2423, 39184, 591, 8978, 2423, 8236, 2158, 1783, 5551, 3794, 426, 15844, 426, 6156, 4117, 2655, 13063, 1829, 6027, 8717, 1829, 7435, 1829, 6024, 48506], "avg_logprob": -0.2634943240519726, "compression_ratio": 1.8619246861924685, "no_speech_prob": 0.00015807151794433594, "words": [{"start": 3087.4, "end": 3087.98, "word": "للـ", "probability": 0.42724609375}, {"start": 3087.98, "end": 3088.28, "word": " X", "probability": 0.42333984375}, {"start": 3088.28, "end": 3089.34, "word": " أُس", "probability": 0.5497639973958334}, {"start": 3089.34, "end": 3089.64, "word": " N", "probability": 0.783203125}, {"start": 3089.64, "end": 3090.08, "word": " على", "probability": 0.69775390625}, {"start": 3090.08, "end": 3090.3, "word": " N", "probability": 0.8818359375}, {"start": 3090.3, "end": 3091.08, "word": " فكتوريال،", "probability": 0.7256905691964286}, {"start": 3091.08, "end": 3092.16, "word": " مظبوط؟", "probability": 0.864013671875}, {"start": 3092.16, "end": 3092.48, "word": " لكن", "probability": 0.90625}, {"start": 3092.48, "end": 3092.8, "word": " F", "probability": 0.638671875}, {"start": 3092.8, "end": 3093.0, "word": " of", "probability": 0.74658203125}, {"start": 3093.0, "end": 3093.22, "word": " C", "probability": 0.5400390625}, {"start": 3093.22, "end": 3093.44, "word": " N", "probability": 0.45849609375}, {"start": 3093.44, "end": 3093.82, "word": " هذه", "probability": 0.414306640625}, {"start": 3093.82, "end": 3094.28, "word": " is", "probability": 0.430419921875}, {"start": 3094.28, "end": 3094.44, "word": " ..", "probability": 0.435302734375}, {"start": 3094.44, "end": 3094.68, "word": " الـ", "probability": 0.731201171875}, {"start": 3094.68, "end": 3094.88, "word": " F", "probability": 0.890625}, {"start": 3094.88, "end": 3095.16, "word": " is", "probability": 0.93994140625}, {"start": 3095.16, "end": 3095.66, "word": " bounded", "probability": 0.90771484375}, {"start": 3095.66, "end": 3096.12, "word": " على", "probability": 0.85009765625}, {"start": 3096.12, "end": 3096.5, "word": " الفترة", "probability": 0.9864908854166666}, {"start": 3096.5, "end": 3096.66, "word": " اللي", "probability": 0.96630859375}, {"start": 3096.66, "end": 3097.2, "word": " لجيناها", "probability": 0.769677734375}, {"start": 3097.2, "end": 3097.32, "word": " اللي", "probability": 0.728515625}, {"start": 3097.32, "end": 3097.46, "word": " هي", "probability": 0.95703125}, {"start": 3097.46, "end": 3097.84, "word": " الفترة", "probability": 0.9830729166666666}, {"start": 3097.84, "end": 3098.48, "word": " اليمين", "probability": 0.8202311197916666}, {"start": 3098.48, "end": 3099.06, "word": " اللي", "probability": 0.981689453125}, {"start": 3099.06, "end": 3099.3, "word": " قلت", "probability": 0.4986979166666667}, {"start": 3099.3, "end": 3099.6, "word": " عنها", "probability": 0.9921875}, {"start": 3099.6, "end": 3099.74, "word": " اللي", "probability": 0.96728515625}, {"start": 3099.74, "end": 3099.88, "word": " هي", "probability": 0.92138671875}, {"start": 3099.88, "end": 3100.06, "word": " الـ", "probability": 0.585205078125}, {"start": 3100.06, "end": 3100.18, "word": " I", "probability": 0.60107421875}, {"start": 3100.18, "end": 3100.44, "word": " X", "probability": 0.845703125}, {"start": 3100.44, "end": 3100.78, "word": " مدان", "probability": 0.5362955729166666}, {"start": 3100.78, "end": 3101.22, "word": " bounded", "probability": 0.55615234375}, {"start": 3101.22, "end": 3101.6, "word": " قلنا", "probability": 0.9049479166666666}, {"start": 3101.6, "end": 3101.96, "word": " هذه", "probability": 0.62158203125}, {"start": 3101.96, "end": 3102.44, "word": " أصغر", "probability": 0.9012451171875}, {"start": 3102.44, "end": 3102.6, "word": " أو", "probability": 0.96826171875}, {"start": 3102.6, "end": 3103.06, "word": " يساوي", "probability": 0.8968505859375}, {"start": 3103.06, "end": 3103.3, "word": " الـ", "probability": 0.745361328125}, {"start": 3103.3, "end": 3103.6, "word": " K", "probability": 0.8955078125}, {"start": 3103.6, "end": 3104.38, "word": " إذا", "probability": 0.80712890625}, {"start": 3104.38, "end": 3104.66, "word": " هذه", "probability": 0.62890625}, {"start": 3104.66, "end": 3104.96, "word": " بيصير", "probability": 0.8216552734375}, {"start": 3104.96, "end": 3105.32, "word": " أصغر", "probability": 0.98779296875}, {"start": 3105.32, "end": 3105.42, "word": " أو", "probability": 0.96875}, {"start": 3105.42, "end": 3105.62, "word": " يساوي", "probability": 0.9638671875}, {"start": 3105.62, "end": 3105.76, "word": " الـ", "probability": 0.6572265625}, {"start": 3105.76, "end": 3106.06, "word": " K", "probability": 0.935546875}, {"start": 3106.06, "end": 3106.54, "word": " في", "probability": 0.86767578125}, {"start": 3106.54, "end": 3106.64, "word": " ال", "probability": 0.8681640625}, {"start": 3106.64, "end": 3106.94, "word": " absolute", "probability": 0.56689453125}, {"start": 3106.94, "end": 3107.38, "word": " value", "probability": 0.9921875}, {"start": 3107.38, "end": 3107.62, "word": " X", "probability": 0.91845703125}, {"start": 3107.62, "end": 3107.82, "word": " أس", "probability": 0.8408203125}, {"start": 3107.82, "end": 3108.04, "word": " N", "probability": 0.966796875}, {"start": 3108.04, "end": 3108.26, "word": " على", "probability": 0.83544921875}, {"start": 3108.26, "end": 3108.62, "word": " N", "probability": 0.9794921875}, {"start": 3108.62, "end": 3109.34, "word": " فكتوريال", "probability": 0.929931640625}, {"start": 3109.34, "end": 3110.08, "word": " نيجي", "probability": 0.861083984375}, {"start": 3110.08, "end": 3110.38, "word": " الآن", "probability": 0.781982421875}], "temperature": 1.0}, {"id": 140, "seek": 313153, "start": 3111.11, "end": 3131.53, "text": "هذه as n goes to infinity هذه independent of n هذه أكبره يساوي سفر و أصغره يساوي هذه as n goes to infinity هذه بتروح للسفر إذا هذه بتروح أشمالها بدها تصير f of x تساوي السفر ومنه ال E1 بتساوي ال E2 لأن f بتساوي E1 ناقص E", "tokens": [3224, 24192, 382, 297, 1709, 281, 13202, 8032, 8848, 3224, 6695, 295, 297, 8032, 8848, 3224, 5551, 4117, 26890, 3224, 7251, 3794, 995, 45865, 8608, 5172, 2288, 4032, 5551, 9381, 17082, 2288, 3224, 7251, 3794, 995, 45865, 8032, 8848, 3224, 382, 297, 1709, 281, 13202, 8032, 8848, 3224, 39894, 32887, 5016, 24976, 3794, 5172, 2288, 11933, 15730, 8032, 8848, 3224, 39894, 32887, 5016, 5551, 8592, 2304, 6027, 11296, 47525, 11296, 6055, 9381, 13546, 283, 295, 2031, 6055, 3794, 995, 45865, 21136, 5172, 2288, 4032, 27842, 3224, 2423, 462, 16, 39894, 3794, 995, 45865, 2423, 462, 17, 5296, 33456, 283, 39894, 3794, 995, 45865, 462, 16, 8717, 995, 4587, 9381, 462], "avg_logprob": -0.2829391999287648, "compression_ratio": 1.8043478260869565, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 3111.11, "end": 3111.65, "word": "هذه", "probability": 0.544921875}, {"start": 3111.65, "end": 3111.93, "word": " as", "probability": 0.13623046875}, {"start": 3111.93, "end": 3112.19, "word": " n", "probability": 0.71484375}, {"start": 3112.19, "end": 3112.53, "word": " goes", "probability": 0.5556640625}, {"start": 3112.53, "end": 3112.75, "word": " to", "probability": 0.94091796875}, {"start": 3112.75, "end": 3113.31, "word": " infinity", "probability": 0.81396484375}, {"start": 3113.31, "end": 3113.87, "word": " هذه", "probability": 0.56640625}, {"start": 3113.87, "end": 3114.25, "word": " independent", "probability": 0.8291015625}, {"start": 3114.25, "end": 3114.65, "word": " of", "probability": 0.94287109375}, {"start": 3114.65, "end": 3114.95, "word": " n", "probability": 0.75244140625}, {"start": 3114.95, "end": 3115.63, "word": " هذه", "probability": 0.6180826822916666}, {"start": 3115.63, "end": 3116.01, "word": " أكبره", "probability": 0.856201171875}, {"start": 3116.01, "end": 3116.33, "word": " يساوي", "probability": 0.860595703125}, {"start": 3116.33, "end": 3116.77, "word": " سفر", "probability": 0.7559407552083334}, {"start": 3116.77, "end": 3117.21, "word": " و", "probability": 0.48681640625}, {"start": 3117.21, "end": 3117.59, "word": " أصغره", "probability": 0.6986328125}, {"start": 3117.59, "end": 3117.79, "word": " يساوي", "probability": 0.9249267578125}, {"start": 3117.79, "end": 3118.05, "word": " هذه", "probability": 0.7565104166666666}, {"start": 3118.05, "end": 3118.21, "word": " as", "probability": 0.70703125}, {"start": 3118.21, "end": 3118.37, "word": " n", "probability": 0.966796875}, {"start": 3118.37, "end": 3118.55, "word": " goes", "probability": 0.94580078125}, {"start": 3118.55, "end": 3118.67, "word": " to", "probability": 0.947265625}, {"start": 3118.67, "end": 3118.93, "word": " infinity", "probability": 0.8779296875}, {"start": 3118.93, "end": 3119.15, "word": " هذه", "probability": 0.6986490885416666}, {"start": 3119.15, "end": 3119.43, "word": " بتروح", "probability": 0.8064778645833334}, {"start": 3119.43, "end": 3120.01, "word": " للسفر", "probability": 0.831787109375}, {"start": 3120.01, "end": 3120.67, "word": " إذا", "probability": 0.577880859375}, {"start": 3120.67, "end": 3121.01, "word": " هذه", "probability": 0.6638997395833334}, {"start": 3121.01, "end": 3121.53, "word": " بتروح", "probability": 0.830078125}, {"start": 3121.53, "end": 3122.29, "word": " أشمالها", "probability": 0.823828125}, {"start": 3122.29, "end": 3122.85, "word": " بدها", "probability": 0.732177734375}, {"start": 3122.85, "end": 3123.41, "word": " تصير", "probability": 0.9241536458333334}, {"start": 3123.41, "end": 3123.87, "word": " f", "probability": 0.55908203125}, {"start": 3123.87, "end": 3124.21, "word": " of", "probability": 0.57275390625}, {"start": 3124.21, "end": 3124.73, "word": " x", "probability": 0.72216796875}, {"start": 3124.73, "end": 3125.59, "word": " تساوي", "probability": 0.9063720703125}, {"start": 3125.59, "end": 3126.13, "word": " السفر", "probability": 0.9456380208333334}, {"start": 3126.13, "end": 3126.83, "word": " ومنه", "probability": 0.8460286458333334}, {"start": 3126.83, "end": 3127.03, "word": " ال", "probability": 0.8095703125}, {"start": 3127.03, "end": 3127.61, "word": " E1", "probability": 0.666748046875}, {"start": 3127.61, "end": 3128.25, "word": " بتساوي", "probability": 0.88134765625}, {"start": 3128.25, "end": 3128.41, "word": " ال", "probability": 0.423828125}, {"start": 3128.41, "end": 3128.99, "word": " E2", "probability": 0.950927734375}, {"start": 3128.99, "end": 3129.51, "word": " لأن", "probability": 0.8671875}, {"start": 3129.51, "end": 3129.79, "word": " f", "probability": 0.346923828125}, {"start": 3129.79, "end": 3130.23, "word": " بتساوي", "probability": 0.8560791015625}, {"start": 3130.23, "end": 3130.73, "word": " E1", "probability": 0.948974609375}, {"start": 3130.73, "end": 3131.23, "word": " ناقص", "probability": 0.8218994140625}, {"start": 3131.23, "end": 3131.53, "word": " E", "probability": 0.96533203125}], "temperature": 1.0}, {"id": 141, "seek": 315973, "start": 3131.95, "end": 3159.73, "text": "إتنين وهو المطلوب وهذا الكلام صحيح لكل X element in R لأن X اللي أخدناها arbitrary element in R هيك بنكون أثبتنا وجود ال E واحد ال E التي تحقق الشرطين اللي عندنا وفي نفس الوقت أثبتنا أن هذه الدالة اللي بتحقق الشرطين", "tokens": [28814, 2655, 1863, 9957, 37037, 2407, 9673, 9566, 1211, 37746, 37037, 15730, 2423, 28820, 10943, 20328, 5016, 1829, 5016, 5296, 28820, 1783, 4478, 294, 497, 5296, 33456, 1783, 13672, 1829, 5551, 9778, 3215, 8315, 11296, 23211, 4478, 294, 497, 39896, 4117, 44945, 30544, 5551, 12984, 3555, 2655, 8315, 49610, 23328, 2423, 462, 36764, 24401, 2423, 462, 38392, 6055, 5016, 4587, 4587, 25124, 2288, 9566, 9957, 13672, 1829, 43242, 8315, 4032, 41185, 8717, 36178, 2423, 30543, 2655, 5551, 12984, 3555, 2655, 8315, 14739, 29538, 32748, 6027, 3660, 13672, 1829, 39894, 5016, 4587, 4587, 25124, 2288, 9566, 9957], "avg_logprob": -0.17815721157899836, "compression_ratio": 1.7574257425742574, "no_speech_prob": 1.9669532775878906e-06, "words": [{"start": 3131.95, "end": 3132.79, "word": "إتنين", "probability": 0.7128753662109375}, {"start": 3132.79, "end": 3133.57, "word": " وهو", "probability": 0.843505859375}, {"start": 3133.57, "end": 3134.31, "word": " المطلوب", "probability": 0.9847412109375}, {"start": 3134.31, "end": 3134.69, "word": " وهذا", "probability": 0.616943359375}, {"start": 3134.69, "end": 3135.11, "word": " الكلام", "probability": 0.9078776041666666}, {"start": 3135.11, "end": 3135.77, "word": " صحيح", "probability": 0.997314453125}, {"start": 3135.77, "end": 3136.67, "word": " لكل", "probability": 0.966796875}, {"start": 3136.67, "end": 3137.03, "word": " X", "probability": 0.501953125}, {"start": 3137.03, "end": 3137.35, "word": " element", "probability": 0.708984375}, {"start": 3137.35, "end": 3137.67, "word": " in", "probability": 0.9130859375}, {"start": 3137.67, "end": 3137.89, "word": " R", "probability": 0.9921875}, {"start": 3137.89, "end": 3138.47, "word": " لأن", "probability": 0.79736328125}, {"start": 3138.47, "end": 3139.11, "word": " X", "probability": 0.6962890625}, {"start": 3139.11, "end": 3139.39, "word": " اللي", "probability": 0.832763671875}, {"start": 3139.39, "end": 3140.29, "word": " أخدناها", "probability": 0.95205078125}, {"start": 3140.29, "end": 3141.51, "word": " arbitrary", "probability": 0.65771484375}, {"start": 3141.51, "end": 3143.17, "word": " element", "probability": 0.95849609375}, {"start": 3143.17, "end": 3143.77, "word": " in", "probability": 0.947265625}, {"start": 3143.77, "end": 3144.21, "word": " R", "probability": 0.994140625}, {"start": 3144.21, "end": 3145.05, "word": " هيك", "probability": 0.59271240234375}, {"start": 3145.05, "end": 3145.37, "word": " بنكون", "probability": 0.914794921875}, {"start": 3145.37, "end": 3146.09, "word": " أثبتنا", "probability": 0.98349609375}, {"start": 3146.09, "end": 3147.13, "word": " وجود", "probability": 0.980224609375}, {"start": 3147.13, "end": 3147.31, "word": " ال", "probability": 0.80810546875}, {"start": 3147.31, "end": 3147.51, "word": " E", "probability": 0.478271484375}, {"start": 3147.51, "end": 3147.99, "word": " واحد", "probability": 0.57373046875}, {"start": 3147.99, "end": 3148.31, "word": " ال", "probability": 0.56005859375}, {"start": 3148.31, "end": 3148.67, "word": " E", "probability": 0.7734375}, {"start": 3148.67, "end": 3149.83, "word": " التي", "probability": 0.9208984375}, {"start": 3149.83, "end": 3150.91, "word": " تحقق", "probability": 0.9849853515625}, {"start": 3150.91, "end": 3151.99, "word": " الشرطين", "probability": 0.947998046875}, {"start": 3151.99, "end": 3152.91, "word": " اللي", "probability": 0.981201171875}, {"start": 3152.91, "end": 3153.61, "word": " عندنا", "probability": 0.877685546875}, {"start": 3153.61, "end": 3154.43, "word": " وفي", "probability": 0.936279296875}, {"start": 3154.43, "end": 3154.81, "word": " نفس", "probability": 0.998291015625}, {"start": 3154.81, "end": 3155.49, "word": " الوقت", "probability": 0.9866536458333334}, {"start": 3155.49, "end": 3156.19, "word": " أثبتنا", "probability": 0.993359375}, {"start": 3156.19, "end": 3156.45, "word": " أن", "probability": 0.52392578125}, {"start": 3156.45, "end": 3157.17, "word": " هذه", "probability": 0.29443359375}, {"start": 3157.17, "end": 3158.49, "word": " الدالة", "probability": 0.76220703125}, {"start": 3158.49, "end": 3158.59, "word": " اللي", "probability": 0.8359375}, {"start": 3158.59, "end": 3159.11, "word": " بتحقق", "probability": 0.890380859375}, {"start": 3159.11, "end": 3159.73, "word": " الشرطين", "probability": 0.9874267578125}], "temperature": 1.0}, {"id": 142, "seek": 316263, "start": 3160.03, "end": 3162.63, "text": "هي دالة وحيدة", "tokens": [3224, 1829, 11778, 6027, 3660, 4032, 5016, 25708, 3660], "avg_logprob": -0.2621093809604645, "compression_ratio": 0.75, "no_speech_prob": 0.0, "words": [{"start": 3160.03, "end": 3160.55, "word": "هي", "probability": 0.697998046875}, {"start": 3160.55, "end": 3161.55, "word": " دالة", "probability": 0.9402669270833334}, {"start": 3161.55, "end": 3162.63, "word": " وحيدة", "probability": 0.8804931640625}], "temperature": 1.0}, {"id": 143, "seek": 319198, "start": 3164.38, "end": 3191.98, "text": "مدام الدالة واحدة إذن الآن يعني شرّعنا إنه نعطيها اسم إنه نقدر نعرف الدالة اللي بتحقق هذول الشرطين إنها اسمها كذا the unique definition ثمانية تلاتة خمسة the unique function E من R لR such that E prime of X في سوء E of X for all X elements in R وتحقق ال E زيرو بالسوء واحد موجودة", "tokens": [2304, 3215, 10943, 32748, 6027, 3660, 36764, 24401, 3660, 11933, 8848, 1863, 6024, 48506, 37495, 22653, 13412, 2288, 11703, 3615, 8315, 36145, 3224, 8717, 3615, 9566, 1829, 11296, 24525, 2304, 36145, 3224, 8717, 28543, 2288, 8717, 3615, 28480, 32748, 6027, 3660, 13672, 1829, 39894, 5016, 4587, 4587, 8032, 8848, 12610, 25124, 2288, 9566, 9957, 36145, 11296, 24525, 2304, 11296, 9122, 15730, 264, 3845, 7123, 38637, 2304, 7649, 10632, 6055, 1211, 9307, 3660, 16490, 2304, 3794, 3660, 264, 3845, 2445, 462, 9154, 497, 5296, 49, 1270, 300, 462, 5835, 295, 1783, 8978, 8608, 2407, 38207, 462, 295, 1783, 337, 439, 1783, 4959, 294, 497, 34683, 5016, 4587, 4587, 2423, 462, 30767, 13546, 2407, 20666, 3794, 2407, 38207, 36764, 24401, 3714, 29245, 23328, 3660], "avg_logprob": -0.22167175160190924, "compression_ratio": 1.5984848484848484, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 3164.38, "end": 3165.18, "word": "مدام", "probability": 0.8118489583333334}, {"start": 3165.18, "end": 3165.78, "word": " الدالة", "probability": 0.8582356770833334}, {"start": 3165.78, "end": 3166.32, "word": " واحدة", "probability": 0.9225260416666666}, {"start": 3166.32, "end": 3166.68, "word": " إذن", "probability": 0.5520833333333334}, {"start": 3166.68, "end": 3167.3, "word": " الآن", "probability": 0.763427734375}, {"start": 3167.3, "end": 3168.56, "word": " يعني", "probability": 0.8095703125}, {"start": 3168.56, "end": 3169.86, "word": " شرّعنا", "probability": 0.90009765625}, {"start": 3169.86, "end": 3170.42, "word": " إنه", "probability": 0.6224365234375}, {"start": 3170.42, "end": 3171.08, "word": " نعطيها", "probability": 0.987890625}, {"start": 3171.08, "end": 3171.48, "word": " اسم", "probability": 0.881591796875}, {"start": 3171.48, "end": 3171.78, "word": " إنه", "probability": 0.65869140625}, {"start": 3171.78, "end": 3172.46, "word": " نقدر", "probability": 0.9664713541666666}, {"start": 3172.46, "end": 3173.28, "word": " نعرف", "probability": 0.9010416666666666}, {"start": 3173.28, "end": 3174.52, "word": " الدالة", "probability": 0.9921875}, {"start": 3174.52, "end": 3175.32, "word": " اللي", "probability": 0.8876953125}, {"start": 3175.32, "end": 3176.04, "word": " بتحقق", "probability": 0.9678955078125}, {"start": 3176.04, "end": 3176.36, "word": " هذول", "probability": 0.87158203125}, {"start": 3176.36, "end": 3177.18, "word": " الشرطين", "probability": 0.8809814453125}, {"start": 3177.18, "end": 3177.76, "word": " إنها", "probability": 0.813232421875}, {"start": 3177.76, "end": 3178.26, "word": " اسمها", "probability": 0.8502604166666666}, {"start": 3178.26, "end": 3178.6, "word": " كذا", "probability": 0.7783203125}, {"start": 3178.6, "end": 3179.2, "word": " the", "probability": 0.2088623046875}, {"start": 3179.2, "end": 3179.62, "word": " unique", "probability": 0.8486328125}, {"start": 3179.62, "end": 3180.2, "word": " definition", "probability": 0.8564453125}, {"start": 3180.2, "end": 3180.78, "word": " ثمانية", "probability": 0.884033203125}, {"start": 3180.78, "end": 3181.18, "word": " تلاتة", "probability": 0.917236328125}, {"start": 3181.18, "end": 3181.8, "word": " خمسة", "probability": 0.9822998046875}, {"start": 3181.8, "end": 3182.26, "word": " the", "probability": 0.53076171875}, {"start": 3182.26, "end": 3182.66, "word": " unique", "probability": 0.8330078125}, {"start": 3182.66, "end": 3183.22, "word": " function", "probability": 0.943359375}, {"start": 3183.22, "end": 3183.52, "word": " E", "probability": 0.5927734375}, {"start": 3183.52, "end": 3183.7, "word": " من", "probability": 0.947265625}, {"start": 3183.7, "end": 3183.98, "word": " R", "probability": 0.94384765625}, {"start": 3183.98, "end": 3184.32, "word": " لR", "probability": 0.7113037109375}, {"start": 3184.32, "end": 3184.6, "word": " such", "probability": 0.92626953125}, {"start": 3184.6, "end": 3184.92, "word": " that", "probability": 0.953125}, {"start": 3184.92, "end": 3185.08, "word": " E", "probability": 0.8857421875}, {"start": 3185.08, "end": 3185.3, "word": " prime", "probability": 0.257568359375}, {"start": 3185.3, "end": 3185.46, "word": " of", "probability": 0.90576171875}, {"start": 3185.46, "end": 3185.66, "word": " X", "probability": 0.96826171875}, {"start": 3185.66, "end": 3185.76, "word": " في", "probability": 0.0887451171875}, {"start": 3185.76, "end": 3186.0, "word": " سوء", "probability": 0.5614420572916666}, {"start": 3186.0, "end": 3186.14, "word": " E", "probability": 0.86865234375}, {"start": 3186.14, "end": 3186.3, "word": " of", "probability": 0.71533203125}, {"start": 3186.3, "end": 3186.56, "word": " X", "probability": 0.994140625}, {"start": 3186.56, "end": 3186.78, "word": " for", "probability": 0.904296875}, {"start": 3186.78, "end": 3187.02, "word": " all", "probability": 0.9287109375}, {"start": 3187.02, "end": 3187.24, "word": " X", "probability": 0.96630859375}, {"start": 3187.24, "end": 3187.5, "word": " elements", "probability": 0.71240234375}, {"start": 3187.5, "end": 3187.74, "word": " in", "probability": 0.59423828125}, {"start": 3187.74, "end": 3188.02, "word": " R", "probability": 0.99853515625}, {"start": 3188.02, "end": 3189.32, "word": " وتحقق", "probability": 0.9244384765625}, {"start": 3189.32, "end": 3189.48, "word": " ال", "probability": 0.7802734375}, {"start": 3189.48, "end": 3189.68, "word": " E", "probability": 0.51220703125}, {"start": 3189.68, "end": 3190.12, "word": " زيرو", "probability": 0.6007486979166666}, {"start": 3190.12, "end": 3190.52, "word": " بالسوء", "probability": 0.82421875}, {"start": 3190.52, "end": 3190.94, "word": " واحد", "probability": 0.9794921875}, {"start": 3190.94, "end": 3191.98, "word": " موجودة", "probability": 0.980712890625}], "temperature": 1.0}, {"id": 144, "seek": 321961, "start": 3192.41, "end": 3219.61, "text": "ووحيدة إذا بحق اللي أقول is called the exponential function وهي الـ exponential اللي أنتوا مبسوطين عليها و بتستخدموها أثبتنا الآن من خلال اللي هو اللي هي الترتيب اللي رتبناه في المادة differentiability integrability و بعدين اللي هو sequences of functions وصلنا إلى اللي هو ال exponential هذه function exists", "tokens": [2407, 2407, 5016, 25708, 3660, 11933, 15730, 4724, 5016, 4587, 13672, 1829, 5551, 39648, 307, 1219, 264, 21510, 2445, 37037, 1829, 2423, 39184, 21510, 13672, 1829, 14739, 2655, 14407, 3714, 3555, 3794, 2407, 9566, 9957, 25894, 11296, 4032, 39894, 14851, 9778, 40448, 2407, 11296, 5551, 12984, 3555, 2655, 8315, 6024, 48506, 9154, 16490, 1211, 6027, 13672, 1829, 31439, 13672, 1829, 39896, 16712, 2288, 31371, 3555, 13672, 1829, 12602, 2655, 3555, 8315, 3224, 8978, 9673, 18513, 3660, 819, 72, 2310, 3572, 2310, 4032, 39182, 9957, 13672, 1829, 31439, 22978, 295, 6828, 4032, 36520, 8315, 30731, 13672, 1829, 31439, 2423, 21510, 29538, 2445, 8198], "avg_logprob": -0.23270631617712742, "compression_ratio": 1.7677165354330708, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 3192.41, "end": 3193.17, "word": "ووحيدة", "probability": 0.754931640625}, {"start": 3193.17, "end": 3193.45, "word": " إذا", "probability": 0.432830810546875}, {"start": 3193.45, "end": 3193.85, "word": " بحق", "probability": 0.8033854166666666}, {"start": 3193.85, "end": 3194.09, "word": " اللي", "probability": 0.913818359375}, {"start": 3194.09, "end": 3194.57, "word": " أقول", "probability": 0.810302734375}, {"start": 3194.57, "end": 3195.19, "word": " is", "probability": 0.350341796875}, {"start": 3195.19, "end": 3195.69, "word": " called", "probability": 0.82666015625}, {"start": 3195.69, "end": 3196.05, "word": " the", "probability": 0.41650390625}, {"start": 3196.05, "end": 3196.77, "word": " exponential", "probability": 0.8359375}, {"start": 3196.77, "end": 3197.47, "word": " function", "probability": 0.92138671875}, {"start": 3197.47, "end": 3198.17, "word": " وهي", "probability": 0.680419921875}, {"start": 3198.17, "end": 3198.45, "word": " الـ", "probability": 0.47930908203125}, {"start": 3198.45, "end": 3199.13, "word": " exponential", "probability": 0.6787109375}, {"start": 3199.13, "end": 3199.51, "word": " اللي", "probability": 0.940673828125}, {"start": 3199.51, "end": 3199.97, "word": " أنتوا", "probability": 0.715576171875}, {"start": 3199.97, "end": 3200.87, "word": " مبسوطين", "probability": 0.9820963541666666}, {"start": 3200.87, "end": 3201.23, "word": " عليها", "probability": 0.989990234375}, {"start": 3201.23, "end": 3201.35, "word": " و", "probability": 0.70947265625}, {"start": 3201.35, "end": 3202.35, "word": " بتستخدموها", "probability": 0.9140625}, {"start": 3202.35, "end": 3203.27, "word": " أثبتنا", "probability": 0.96376953125}, {"start": 3203.27, "end": 3203.75, "word": " الآن", "probability": 0.881103515625}, {"start": 3203.75, "end": 3203.95, "word": " من", "probability": 0.9912109375}, {"start": 3203.95, "end": 3204.49, "word": " خلال", "probability": 0.9969075520833334}, {"start": 3204.49, "end": 3204.83, "word": " اللي", "probability": 0.956787109375}, {"start": 3204.83, "end": 3205.17, "word": " هو", "probability": 0.77587890625}, {"start": 3205.17, "end": 3205.95, "word": " اللي", "probability": 0.7210693359375}, {"start": 3205.95, "end": 3206.25, "word": " هي", "probability": 0.939453125}, {"start": 3206.25, "end": 3207.35, "word": " الترتيب", "probability": 0.9693603515625}, {"start": 3207.35, "end": 3207.53, "word": " اللي", "probability": 0.991943359375}, {"start": 3207.53, "end": 3208.25, "word": " رتبناه", "probability": 0.98583984375}, {"start": 3208.25, "end": 3208.39, "word": " في", "probability": 0.97314453125}, {"start": 3208.39, "end": 3208.83, "word": " المادة", "probability": 0.9833984375}, {"start": 3208.83, "end": 3209.75, "word": " differentiability", "probability": 0.6078694661458334}, {"start": 3209.75, "end": 3211.17, "word": " integrability", "probability": 0.540771484375}, {"start": 3211.17, "end": 3211.69, "word": " و", "probability": 0.7783203125}, {"start": 3211.69, "end": 3212.15, "word": " بعدين", "probability": 0.75537109375}, {"start": 3212.15, "end": 3212.31, "word": " اللي", "probability": 0.946044921875}, {"start": 3212.31, "end": 3212.63, "word": " هو", "probability": 0.9853515625}, {"start": 3212.63, "end": 3213.63, "word": " sequences", "probability": 0.73779296875}, {"start": 3213.63, "end": 3213.95, "word": " of", "probability": 0.97314453125}, {"start": 3213.95, "end": 3214.59, "word": " functions", "probability": 0.81201171875}, {"start": 3214.59, "end": 3215.67, "word": " وصلنا", "probability": 0.96337890625}, {"start": 3215.67, "end": 3216.35, "word": " إلى", "probability": 0.85791015625}, {"start": 3216.35, "end": 3216.63, "word": " اللي", "probability": 0.9599609375}, {"start": 3216.63, "end": 3216.83, "word": " هو", "probability": 0.98828125}, {"start": 3216.83, "end": 3216.97, "word": " ال", "probability": 0.8955078125}, {"start": 3216.97, "end": 3217.39, "word": " exponential", "probability": 0.60498046875}, {"start": 3217.39, "end": 3217.97, "word": " هذه", "probability": 0.53369140625}, {"start": 3217.97, "end": 3218.43, "word": " function", "probability": 0.62841796875}, {"start": 3218.43, "end": 3219.61, "word": " exists", "probability": 0.43798828125}], "temperature": 1.0}, {"id": 145, "seek": 322385, "start": 3220.25, "end": 3223.85, "text": "التي سمناها الـ Exponential Function", "tokens": [6027, 31371, 8608, 2304, 8315, 11296, 2423, 39184, 21391, 266, 2549, 11166, 882], "avg_logprob": -0.6662946385996682, "compression_ratio": 0.8596491228070176, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 3220.25, "end": 3221.19, "word": "التي", "probability": 0.23602294921875}, {"start": 3221.19, "end": 3222.49, "word": " سمناها", "probability": 0.6885986328125}, {"start": 3222.49, "end": 3222.65, "word": " الـ", "probability": 0.6883544921875}, {"start": 3222.65, "end": 3223.29, "word": " Exponential", "probability": 0.7305501302083334}, {"start": 3223.29, "end": 3223.85, "word": " Function", "probability": 0.6986083984375}], "temperature": 1.0}, {"id": 146, "seek": 325401, "start": 3228.71, "end": 3254.01, "text": "بدنا نسمي الـ E of واحد قيمة الدالة القيمة الدالة الـ E هذه عند الواحد بدنا نسميها E E و هذا اللي بنسميه Ehlers number و احنا يعني بعد هيك هيصير عندي اللي هو الرمز E of X ان هو ال exponential X او أسهلنا في الاستخدام ال E of X ايش هتساوي", "tokens": [3555, 3215, 8315, 8717, 38251, 1829, 2423, 39184, 462, 295, 36764, 24401, 12174, 32640, 3660, 32748, 6027, 3660, 25062, 32640, 3660, 32748, 6027, 3660, 2423, 39184, 462, 29538, 43242, 2423, 14407, 24401, 47525, 8315, 8717, 38251, 1829, 11296, 462, 462, 4032, 23758, 13672, 1829, 44945, 38251, 1829, 3224, 9663, 11977, 1230, 4032, 1975, 5016, 8315, 37495, 22653, 39182, 39896, 4117, 39896, 9381, 13546, 43242, 1829, 13672, 1829, 31439, 34892, 2304, 11622, 462, 295, 1783, 16472, 31439, 2423, 21510, 1783, 1975, 2407, 5551, 3794, 3224, 1211, 8315, 8978, 42963, 14851, 9778, 3215, 10943, 2423, 462, 295, 1783, 1975, 1829, 8592, 8032, 2655, 3794, 995, 45865], "avg_logprob": -0.26324404080708824, "compression_ratio": 1.8285714285714285, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 3228.71, "end": 3229.25, "word": "بدنا", "probability": 0.41815185546875}, {"start": 3229.25, "end": 3229.85, "word": " نسمي", "probability": 0.97509765625}, {"start": 3229.85, "end": 3230.05, "word": " الـ", "probability": 0.5015869140625}, {"start": 3230.05, "end": 3230.23, "word": " E", "probability": 0.74462890625}, {"start": 3230.23, "end": 3230.43, "word": " of", "probability": 0.64306640625}, {"start": 3230.43, "end": 3230.95, "word": " واحد", "probability": 0.901123046875}, {"start": 3230.95, "end": 3232.05, "word": " قيمة", "probability": 0.83740234375}, {"start": 3232.05, "end": 3232.73, "word": " الدالة", "probability": 0.9303385416666666}, {"start": 3232.73, "end": 3233.43, "word": " القيمة", "probability": 0.6913045247395834}, {"start": 3233.43, "end": 3233.85, "word": " الدالة", "probability": 0.9752604166666666}, {"start": 3233.85, "end": 3234.01, "word": " الـ", "probability": 0.697021484375}, {"start": 3234.01, "end": 3234.11, "word": " E", "probability": 0.92431640625}, {"start": 3234.11, "end": 3234.45, "word": " هذه", "probability": 0.76904296875}, {"start": 3234.45, "end": 3234.69, "word": " عند", "probability": 0.87255859375}, {"start": 3234.69, "end": 3235.19, "word": " الواحد", "probability": 0.9833984375}, {"start": 3235.19, "end": 3235.47, "word": " بدنا", "probability": 0.59979248046875}, {"start": 3235.47, "end": 3236.21, "word": " نسميها", "probability": 0.9940185546875}, {"start": 3236.21, "end": 3236.99, "word": " E", "probability": 0.962890625}, {"start": 3236.99, "end": 3237.87, "word": " E", "probability": 0.44921875}, {"start": 3237.87, "end": 3238.33, "word": " و", "probability": 0.42041015625}, {"start": 3238.33, "end": 3238.55, "word": " هذا", "probability": 0.85546875}, {"start": 3238.55, "end": 3238.65, "word": " اللي", "probability": 0.958984375}, {"start": 3238.65, "end": 3239.45, "word": " بنسميه", "probability": 0.917236328125}, {"start": 3239.45, "end": 3239.99, "word": " Ehlers", "probability": 0.6337890625}, {"start": 3239.99, "end": 3240.59, "word": " number", "probability": 0.7412109375}, {"start": 3240.59, "end": 3241.91, "word": " و", "probability": 0.53955078125}, {"start": 3241.91, "end": 3242.69, "word": " احنا", "probability": 0.84033203125}, {"start": 3242.69, "end": 3243.13, "word": " يعني", "probability": 0.95068359375}, {"start": 3243.13, "end": 3243.45, "word": " بعد", "probability": 0.93408203125}, {"start": 3243.45, "end": 3243.91, "word": " هيك", "probability": 0.948974609375}, {"start": 3243.91, "end": 3244.41, "word": " هيصير", "probability": 0.81787109375}, {"start": 3244.41, "end": 3245.31, "word": " عندي", "probability": 0.573486328125}, {"start": 3245.31, "end": 3245.57, "word": " اللي", "probability": 0.97265625}, {"start": 3245.57, "end": 3245.77, "word": " هو", "probability": 0.98779296875}, {"start": 3245.77, "end": 3246.23, "word": " الرمز", "probability": 0.91259765625}, {"start": 3246.23, "end": 3246.41, "word": " E", "probability": 0.97412109375}, {"start": 3246.41, "end": 3246.59, "word": " of", "probability": 0.95166015625}, {"start": 3246.59, "end": 3246.81, "word": " X", "probability": 0.9853515625}, {"start": 3246.81, "end": 3246.97, "word": " ان", "probability": 0.38720703125}, {"start": 3246.97, "end": 3247.13, "word": " هو", "probability": 0.6484375}, {"start": 3247.13, "end": 3247.25, "word": " ال", "probability": 0.62744140625}, {"start": 3247.25, "end": 3247.51, "word": " exponential", "probability": 0.53466796875}, {"start": 3247.51, "end": 3249.41, "word": " X", "probability": 0.39697265625}, {"start": 3249.41, "end": 3250.03, "word": " او", "probability": 0.835693359375}, {"start": 3250.03, "end": 3250.79, "word": " أسهلنا", "probability": 0.87431640625}, {"start": 3250.79, "end": 3250.93, "word": " في", "probability": 0.97802734375}, {"start": 3250.93, "end": 3251.71, "word": " الاستخدام", "probability": 0.9466796875}, {"start": 3251.71, "end": 3252.15, "word": " ال", "probability": 0.54931640625}, {"start": 3252.15, "end": 3252.81, "word": " E", "probability": 0.810546875}, {"start": 3252.81, "end": 3252.99, "word": " of", "probability": 0.9521484375}, {"start": 3252.99, "end": 3253.19, "word": " X", "probability": 0.9951171875}, {"start": 3253.19, "end": 3253.37, "word": " ايش", "probability": 0.7163899739583334}, {"start": 3253.37, "end": 3254.01, "word": " هتساوي", "probability": 0.9255859375}], "temperature": 1.0}, {"id": 147, "seek": 328285, "start": 3254.29, "end": 3282.85, "text": "الـ E X هذا الـ E واحد قيمة الدالة عند مين عند اللي هو الرقم واحد سمناها E ماشي الحالة الان E of X بالساوي E to the X هذه عبارة عن اللي هي الدالة E of X بالساوي X notation لها لكن بعد شوية هنلاقي ال notation consistent of اللي هو مع مين مع اللي هو ال exponent", "tokens": [6027, 39184, 462, 1783, 23758, 2423, 39184, 462, 36764, 24401, 12174, 32640, 3660, 32748, 6027, 3660, 43242, 3714, 9957, 43242, 13672, 1829, 31439, 34892, 4587, 2304, 36764, 24401, 8608, 2304, 8315, 11296, 462, 3714, 33599, 1829, 21542, 6027, 3660, 2423, 7649, 462, 295, 1783, 20666, 3794, 995, 45865, 462, 281, 264, 1783, 29538, 6225, 3555, 9640, 3660, 18871, 13672, 1829, 39896, 32748, 6027, 3660, 462, 295, 1783, 20666, 3794, 995, 45865, 1783, 24657, 5296, 11296, 44381, 39182, 13412, 2407, 10632, 8032, 1863, 15040, 38436, 2423, 24657, 8398, 295, 13672, 1829, 31439, 20449, 3714, 9957, 20449, 13672, 1829, 31439, 2423, 37871], "avg_logprob": -0.17945545144600444, "compression_ratio": 1.9516908212560387, "no_speech_prob": 3.719329833984375e-05, "words": [{"start": 3254.29, "end": 3254.91, "word": "الـ", "probability": 0.6346435546875}, {"start": 3254.91, "end": 3255.19, "word": " E", "probability": 0.578125}, {"start": 3255.19, "end": 3255.71, "word": " X", "probability": 0.276611328125}, {"start": 3255.71, "end": 3256.41, "word": " هذا", "probability": 0.470458984375}, {"start": 3256.41, "end": 3256.61, "word": " الـ", "probability": 0.7587890625}, {"start": 3256.61, "end": 3256.75, "word": " E", "probability": 0.9267578125}, {"start": 3256.75, "end": 3257.23, "word": " واحد", "probability": 0.865478515625}, {"start": 3257.23, "end": 3257.87, "word": " قيمة", "probability": 0.9581705729166666}, {"start": 3257.87, "end": 3258.59, "word": " الدالة", "probability": 0.9484049479166666}, {"start": 3258.59, "end": 3258.95, "word": " عند", "probability": 0.9755859375}, {"start": 3258.95, "end": 3259.59, "word": " مين", "probability": 0.81201171875}, {"start": 3259.59, "end": 3260.83, "word": " عند", "probability": 0.37109375}, {"start": 3260.83, "end": 3261.13, "word": " اللي", "probability": 0.940673828125}, {"start": 3261.13, "end": 3261.53, "word": " هو", "probability": 0.99365234375}, {"start": 3261.53, "end": 3262.25, "word": " الرقم", "probability": 0.9847005208333334}, {"start": 3262.25, "end": 3262.89, "word": " واحد", "probability": 0.94189453125}, {"start": 3262.89, "end": 3264.13, "word": " سمناها", "probability": 0.8433837890625}, {"start": 3264.13, "end": 3264.41, "word": " E", "probability": 0.96923828125}, {"start": 3264.41, "end": 3264.93, "word": " ماشي", "probability": 0.8865559895833334}, {"start": 3264.93, "end": 3265.47, "word": " الحالة", "probability": 0.7444661458333334}, {"start": 3265.47, "end": 3266.09, "word": " الان", "probability": 0.5987548828125}, {"start": 3266.09, "end": 3266.41, "word": " E", "probability": 0.93505859375}, {"start": 3266.41, "end": 3266.57, "word": " of", "probability": 0.6669921875}, {"start": 3266.57, "end": 3266.75, "word": " X", "probability": 0.99560546875}, {"start": 3266.75, "end": 3267.23, "word": " بالساوي", "probability": 0.66387939453125}, {"start": 3267.23, "end": 3267.53, "word": " E", "probability": 0.919921875}, {"start": 3267.53, "end": 3267.71, "word": " to", "probability": 0.89892578125}, {"start": 3267.71, "end": 3267.87, "word": " the", "probability": 0.76416015625}, {"start": 3267.87, "end": 3268.27, "word": " X", "probability": 0.990234375}, {"start": 3268.27, "end": 3269.29, "word": " هذه", "probability": 0.55029296875}, {"start": 3269.29, "end": 3269.95, "word": " عبارة", "probability": 0.9937744140625}, {"start": 3269.95, "end": 3270.31, "word": " عن", "probability": 0.99462890625}, {"start": 3270.31, "end": 3270.79, "word": " اللي", "probability": 0.970458984375}, {"start": 3270.79, "end": 3271.31, "word": " هي", "probability": 0.95068359375}, {"start": 3271.31, "end": 3272.37, "word": " الدالة", "probability": 0.9933268229166666}, {"start": 3272.37, "end": 3272.61, "word": " E", "probability": 0.95556640625}, {"start": 3272.61, "end": 3272.83, "word": " of", "probability": 0.9345703125}, {"start": 3272.83, "end": 3273.11, "word": " X", "probability": 0.99755859375}, {"start": 3273.11, "end": 3273.65, "word": " بالساوي", "probability": 0.9259033203125}, {"start": 3273.65, "end": 3274.01, "word": " X", "probability": 0.476318359375}, {"start": 3274.01, "end": 3274.43, "word": " notation", "probability": 0.60888671875}, {"start": 3274.43, "end": 3274.89, "word": " لها", "probability": 0.857177734375}, {"start": 3274.89, "end": 3275.83, "word": " لكن", "probability": 0.9609375}, {"start": 3275.83, "end": 3276.27, "word": " بعد", "probability": 0.9189453125}, {"start": 3276.27, "end": 3276.69, "word": " شوية", "probability": 0.8548177083333334}, {"start": 3276.69, "end": 3277.37, "word": " هنلاقي", "probability": 0.877685546875}, {"start": 3277.37, "end": 3277.55, "word": " ال", "probability": 0.72412109375}, {"start": 3277.55, "end": 3278.03, "word": " notation", "probability": 0.8974609375}, {"start": 3278.03, "end": 3278.87, "word": " consistent", "probability": 0.67919921875}, {"start": 3278.87, "end": 3279.61, "word": " of", "probability": 0.9775390625}, {"start": 3279.61, "end": 3280.27, "word": " اللي", "probability": 0.982666015625}, {"start": 3280.27, "end": 3280.49, "word": " هو", "probability": 0.97998046875}, {"start": 3280.49, "end": 3280.75, "word": " مع", "probability": 0.935546875}, {"start": 3280.75, "end": 3281.31, "word": " مين", "probability": 0.883056640625}, {"start": 3281.31, "end": 3281.79, "word": " مع", "probability": 0.896484375}, {"start": 3281.79, "end": 3282.05, "word": " اللي", "probability": 0.97216796875}, {"start": 3282.05, "end": 3282.31, "word": " هو", "probability": 0.98974609375}, {"start": 3282.31, "end": 3282.49, "word": " ال", "probability": 0.9140625}, {"start": 3282.49, "end": 3282.85, "word": " exponent", "probability": 0.81591796875}], "temperature": 1.0}, {"id": 148, "seek": 330712, "start": 3283.7, "end": 3307.12, "text": "يعني هيصير الـ E to the exponent X هو عبارة عن بالظبط اللي هو قيمة الـ E of X لأن الـ E of X بيساوي E to the X و ال E of واحد بيساوي E واحد بيصير عندي E لما أرفحها للقوة X يطلع قيمتها هي عبارة عن اللي هي قيمة دل E of X حسب اللي احنا معرفينه هنا", "tokens": [40228, 22653, 39896, 9381, 13546, 2423, 39184, 462, 281, 264, 37871, 1783, 31439, 6225, 3555, 9640, 3660, 18871, 20666, 19913, 3555, 9566, 13672, 1829, 31439, 12174, 32640, 3660, 2423, 39184, 462, 295, 1783, 5296, 33456, 2423, 39184, 462, 295, 1783, 4724, 1829, 3794, 995, 45865, 462, 281, 264, 1783, 4032, 2423, 462, 295, 36764, 24401, 4724, 1829, 3794, 995, 45865, 462, 36764, 24401, 4724, 1829, 9381, 13546, 18871, 16254, 462, 5296, 15042, 5551, 28480, 5016, 11296, 24976, 4587, 2407, 3660, 1783, 7251, 9566, 1211, 3615, 12174, 32640, 2655, 11296, 39896, 6225, 3555, 9640, 3660, 18871, 13672, 1829, 39896, 12174, 32640, 3660, 11778, 1211, 462, 295, 1783, 11331, 35457, 13672, 1829, 1975, 5016, 8315, 20449, 28480, 9957, 3224, 34105], "avg_logprob": -0.14430147384395117, "compression_ratio": 1.9019607843137254, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 3283.7, "end": 3284.12, "word": "يعني", "probability": 0.92333984375}, {"start": 3284.12, "end": 3284.76, "word": " هيصير", "probability": 0.7992350260416666}, {"start": 3284.76, "end": 3285.04, "word": " الـ", "probability": 0.707763671875}, {"start": 3285.04, "end": 3285.18, "word": " E", "probability": 0.6455078125}, {"start": 3285.18, "end": 3285.3, "word": " to", "probability": 0.51318359375}, {"start": 3285.3, "end": 3285.44, "word": " the", "probability": 0.80322265625}, {"start": 3285.44, "end": 3286.0, "word": " exponent", "probability": 0.96728515625}, {"start": 3286.0, "end": 3286.66, "word": " X", "probability": 0.73388671875}, {"start": 3286.66, "end": 3287.48, "word": " هو", "probability": 0.86767578125}, {"start": 3287.48, "end": 3288.14, "word": " عبارة", "probability": 0.9964599609375}, {"start": 3288.14, "end": 3288.36, "word": " عن", "probability": 0.99560546875}, {"start": 3288.36, "end": 3289.48, "word": " بالظبط", "probability": 0.982177734375}, {"start": 3289.48, "end": 3289.8, "word": " اللي", "probability": 0.935302734375}, {"start": 3289.8, "end": 3290.16, "word": " هو", "probability": 0.974609375}, {"start": 3290.16, "end": 3290.88, "word": " قيمة", "probability": 0.9964192708333334}, {"start": 3290.88, "end": 3291.08, "word": " الـ", "probability": 0.785888671875}, {"start": 3291.08, "end": 3291.16, "word": " E", "probability": 0.8798828125}, {"start": 3291.16, "end": 3291.3, "word": " of", "probability": 0.890625}, {"start": 3291.3, "end": 3291.48, "word": " X", "probability": 0.9951171875}, {"start": 3291.48, "end": 3291.7, "word": " لأن", "probability": 0.8544921875}, {"start": 3291.7, "end": 3291.88, "word": " الـ", "probability": 0.5594482421875}, {"start": 3291.88, "end": 3291.96, "word": " E", "probability": 0.91064453125}, {"start": 3291.96, "end": 3292.06, "word": " of", "probability": 0.94140625}, {"start": 3292.06, "end": 3292.22, "word": " X", "probability": 0.9970703125}, {"start": 3292.22, "end": 3292.58, "word": " بيساوي", "probability": 0.739501953125}, {"start": 3292.58, "end": 3292.76, "word": " E", "probability": 0.97900390625}, {"start": 3292.76, "end": 3292.84, "word": " to", "probability": 0.93896484375}, {"start": 3292.84, "end": 3292.98, "word": " the", "probability": 0.90576171875}, {"start": 3292.98, "end": 3293.22, "word": " X", "probability": 0.9931640625}, {"start": 3293.22, "end": 3293.62, "word": " و", "probability": 0.67236328125}, {"start": 3293.62, "end": 3293.7, "word": " ال", "probability": 0.328857421875}, {"start": 3293.7, "end": 3293.82, "word": " E", "probability": 0.59228515625}, {"start": 3293.82, "end": 3293.92, "word": " of", "probability": 0.75537109375}, {"start": 3293.92, "end": 3294.08, "word": " واحد", "probability": 0.69580078125}, {"start": 3294.08, "end": 3294.46, "word": " بيساوي", "probability": 0.98779296875}, {"start": 3294.46, "end": 3294.62, "word": " E", "probability": 0.986328125}, {"start": 3294.62, "end": 3294.92, "word": " واحد", "probability": 0.98291015625}, {"start": 3294.92, "end": 3295.26, "word": " بيصير", "probability": 0.9287109375}, {"start": 3295.26, "end": 3295.58, "word": " عندي", "probability": 0.6397705078125}, {"start": 3295.58, "end": 3295.8, "word": " E", "probability": 0.91650390625}, {"start": 3295.8, "end": 3296.0, "word": " لما", "probability": 0.84912109375}, {"start": 3296.0, "end": 3296.58, "word": " أرفحها", "probability": 0.86279296875}, {"start": 3296.58, "end": 3297.76, "word": " للقوة", "probability": 0.9544677734375}, {"start": 3297.76, "end": 3298.06, "word": " X", "probability": 0.9931640625}, {"start": 3298.06, "end": 3298.6, "word": " يطلع", "probability": 0.9639892578125}, {"start": 3298.6, "end": 3299.44, "word": " قيمتها", "probability": 0.99609375}, {"start": 3299.44, "end": 3300.22, "word": " هي", "probability": 0.94140625}, {"start": 3300.22, "end": 3301.0, "word": " عبارة", "probability": 0.998291015625}, {"start": 3301.0, "end": 3301.32, "word": " عن", "probability": 0.99658203125}, {"start": 3301.32, "end": 3301.72, "word": " اللي", "probability": 0.976318359375}, {"start": 3301.72, "end": 3302.12, "word": " هي", "probability": 0.98046875}, {"start": 3302.12, "end": 3302.92, "word": " قيمة", "probability": 0.9957682291666666}, {"start": 3302.92, "end": 3303.36, "word": " دل", "probability": 0.59716796875}, {"start": 3303.36, "end": 3304.02, "word": " E", "probability": 0.41845703125}, {"start": 3304.02, "end": 3304.28, "word": " of", "probability": 0.97802734375}, {"start": 3304.28, "end": 3304.56, "word": " X", "probability": 0.99853515625}, {"start": 3304.56, "end": 3304.96, "word": " حسب", "probability": 0.953369140625}, {"start": 3304.96, "end": 3305.36, "word": " اللي", "probability": 0.9736328125}, {"start": 3305.36, "end": 3305.84, "word": " احنا", "probability": 0.9104817708333334}, {"start": 3305.84, "end": 3306.66, "word": " معرفينه", "probability": 0.961669921875}, {"start": 3306.66, "end": 3307.12, "word": " هنا", "probability": 0.6103515625}], "temperature": 1.0}, {"id": 149, "seek": 332359, "start": 3308.73, "end": 3323.59, "text": "يعني من الإحسابات ومن تعريفنا للدالة هيكون فيه consistent it is consistent في الحالتين طيب", "tokens": [40228, 22653, 9154, 33688, 5016, 3794, 16758, 9307, 4032, 27842, 37279, 16572, 5172, 8315, 24976, 3215, 6027, 3660, 39896, 30544, 8978, 3224, 8398, 309, 307, 8398, 8978, 21542, 6027, 2655, 9957, 23032, 1829, 3555], "avg_logprob": -0.20982142601694379, "compression_ratio": 1.2792792792792793, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 3308.73, "end": 3309.21, "word": "يعني", "probability": 0.752685546875}, {"start": 3309.21, "end": 3309.39, "word": " من", "probability": 0.96533203125}, {"start": 3309.39, "end": 3310.09, "word": " الإحسابات", "probability": 0.8875}, {"start": 3310.09, "end": 3310.33, "word": " ومن", "probability": 0.856201171875}, {"start": 3310.33, "end": 3310.79, "word": " تعريفنا", "probability": 0.9534912109375}, {"start": 3310.79, "end": 3311.55, "word": " للدالة", "probability": 0.788330078125}, {"start": 3311.55, "end": 3312.27, "word": " هيكون", "probability": 0.779541015625}, {"start": 3312.27, "end": 3312.65, "word": " فيه", "probability": 0.689453125}, {"start": 3312.65, "end": 3314.31, "word": " consistent", "probability": 0.69091796875}, {"start": 3314.31, "end": 3316.65, "word": " it", "probability": 0.454345703125}, {"start": 3316.65, "end": 3318.63, "word": " is", "probability": 0.95654296875}, {"start": 3318.63, "end": 3319.69, "word": " consistent", "probability": 0.89697265625}, {"start": 3319.69, "end": 3321.89, "word": " في", "probability": 0.9404296875}, {"start": 3321.89, "end": 3323.07, "word": " الحالتين", "probability": 0.8565673828125}, {"start": 3323.07, "end": 3323.59, "word": " طيب", "probability": 0.88818359375}], "temperature": 1.0}, {"id": 150, "seek": 334117, "start": 3324.61, "end": 3341.17, "text": "نجي الآن لما الكلام هذا ال number E can be obtained as a limit and thereby approximated in several different ways طبيعا احنا مادام عنده اللي هو عبارة عن limit لل E N of X", "tokens": [1863, 7435, 1829, 6024, 48506, 5296, 15042, 2423, 28820, 10943, 23758, 2423, 1230, 462, 393, 312, 14879, 382, 257, 4948, 293, 28281, 8542, 770, 294, 2940, 819, 2098, 23032, 3555, 40228, 995, 1975, 5016, 8315, 3714, 18513, 10943, 43242, 3224, 13672, 1829, 31439, 6225, 3555, 9640, 3660, 18871, 4948, 24976, 462, 426, 295, 1783], "avg_logprob": -0.3272727370262146, "compression_ratio": 1.302325581395349, "no_speech_prob": 0.0, "words": [{"start": 3324.61, "end": 3325.03, "word": "نجي", "probability": 0.4463297526041667}, {"start": 3325.03, "end": 3325.35, "word": " الآن", "probability": 0.5911865234375}, {"start": 3325.35, "end": 3325.87, "word": " لما", "probability": 0.88671875}, {"start": 3325.87, "end": 3326.67, "word": " الكلام", "probability": 0.9016927083333334}, {"start": 3326.67, "end": 3327.05, "word": " هذا", "probability": 0.904296875}, {"start": 3327.05, "end": 3327.31, "word": " ال", "probability": 0.64990234375}, {"start": 3327.31, "end": 3327.71, "word": " number", "probability": 0.37060546875}, {"start": 3327.71, "end": 3328.07, "word": " E", "probability": 0.51025390625}, {"start": 3328.07, "end": 3328.79, "word": " can", "probability": 0.7705078125}, {"start": 3328.79, "end": 3328.99, "word": " be", "probability": 0.9404296875}, {"start": 3328.99, "end": 3329.43, "word": " obtained", "probability": 0.8701171875}, {"start": 3329.43, "end": 3329.91, "word": " as", "probability": 0.9482421875}, {"start": 3329.91, "end": 3330.11, "word": " a", "probability": 0.9189453125}, {"start": 3330.11, "end": 3330.43, "word": " limit", "probability": 0.966796875}, {"start": 3330.43, "end": 3330.97, "word": " and", "probability": 0.8505859375}, {"start": 3330.97, "end": 3331.33, "word": " thereby", "probability": 0.64404296875}, {"start": 3331.33, "end": 3332.23, "word": " approximated", "probability": 0.97509765625}, {"start": 3332.23, "end": 3332.57, "word": " in", "probability": 0.94140625}, {"start": 3332.57, "end": 3332.95, "word": " several", "probability": 0.73828125}, {"start": 3332.95, "end": 3333.69, "word": " different", "probability": 0.85595703125}, {"start": 3333.69, "end": 3334.09, "word": " ways", "probability": 0.93310546875}, {"start": 3334.09, "end": 3334.73, "word": " طبيعا", "probability": 0.75958251953125}, {"start": 3334.73, "end": 3335.43, "word": " احنا", "probability": 0.72705078125}, {"start": 3335.43, "end": 3335.75, "word": " مادام", "probability": 0.6761067708333334}, {"start": 3335.75, "end": 3336.21, "word": " عنده", "probability": 0.559326171875}, {"start": 3336.21, "end": 3336.41, "word": " اللي", "probability": 0.836181640625}, {"start": 3336.41, "end": 3336.55, "word": " هو", "probability": 0.92919921875}, {"start": 3336.55, "end": 3337.85, "word": " عبارة", "probability": 0.863037109375}, {"start": 3337.85, "end": 3337.99, "word": " عن", "probability": 0.9931640625}, {"start": 3337.99, "end": 3338.35, "word": " limit", "probability": 0.962890625}, {"start": 3338.35, "end": 3340.19, "word": " لل", "probability": 0.720703125}, {"start": 3340.19, "end": 3340.45, "word": " E", "probability": 0.84375}, {"start": 3340.45, "end": 3340.65, "word": " N", "probability": 0.320068359375}, {"start": 3340.65, "end": 3340.81, "word": " of", "probability": 0.662109375}, {"start": 3340.81, "end": 3341.17, "word": " X", "probability": 0.9892578125}], "temperature": 1.0}, {"id": 151, "seek": 336689, "start": 3341.91, "end": 3366.89, "text": "اللي هي بتطلع عندى limit عند ال .. ال .. ال .. ال end of واحد لأنها continuous بصير عندى مدام limit إذا بصير أقدر أقرب هذه القيمة اللي هي و نحصل على قيمة تقريبية بال E و هذا مش شغلنا شغل تبعين اللي هو numerical analysis أو الناس اللي بدأت .. اللي هي تشتغل في التقريب أو مش شغل نهاني يعني بصدي", "tokens": [6027, 20292, 39896, 39894, 9566, 1211, 3615, 43242, 7578, 4948, 43242, 2423, 4386, 2423, 4386, 2423, 4386, 2423, 917, 295, 36764, 24401, 5296, 33456, 11296, 10957, 4724, 9381, 13546, 43242, 7578, 3714, 3215, 10943, 4948, 11933, 15730, 4724, 9381, 13546, 5551, 28543, 2288, 5551, 4587, 25513, 29538, 25062, 32640, 3660, 13672, 1829, 39896, 4032, 8717, 5016, 36520, 15844, 12174, 32640, 3660, 6055, 4587, 16572, 3555, 10632, 20666, 462, 4032, 23758, 37893, 13412, 17082, 1211, 8315, 13412, 17082, 1211, 6055, 3555, 3615, 9957, 13672, 1829, 31439, 29054, 5215, 34051, 2423, 8315, 3794, 13672, 1829, 47525, 10721, 2655, 4386, 13672, 1829, 39896, 6055, 8592, 2655, 17082, 1211, 8978, 16712, 4587, 16572, 3555, 34051, 37893, 13412, 17082, 1211, 8717, 3224, 7649, 1829, 37495, 22653, 4724, 9381, 16254], "avg_logprob": -0.19212500524520873, "compression_ratio": 1.83984375, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 3341.91, "end": 3342.17, "word": "اللي", "probability": 0.4940185546875}, {"start": 3342.17, "end": 3342.27, "word": " هي", "probability": 0.6328125}, {"start": 3342.27, "end": 3342.63, "word": " بتطلع", "probability": 0.9638671875}, {"start": 3342.63, "end": 3342.99, "word": " عندى", "probability": 0.430419921875}, {"start": 3342.99, "end": 3343.33, "word": " limit", "probability": 0.51513671875}, {"start": 3343.33, "end": 3343.59, "word": " عند", "probability": 0.875}, {"start": 3343.59, "end": 3343.79, "word": " ال", "probability": 0.92724609375}, {"start": 3343.79, "end": 3343.99, "word": " ..", "probability": 0.07025146484375}, {"start": 3343.99, "end": 3344.47, "word": " ال", "probability": 0.97509765625}, {"start": 3344.47, "end": 3344.47, "word": " ..", "probability": 0.78759765625}, {"start": 3344.47, "end": 3344.89, "word": " ال", "probability": 0.98681640625}, {"start": 3344.89, "end": 3344.89, "word": " ..", "probability": 0.73828125}, {"start": 3344.89, "end": 3345.51, "word": " ال", "probability": 0.96923828125}, {"start": 3345.51, "end": 3345.73, "word": " end", "probability": 0.181640625}, {"start": 3345.73, "end": 3346.09, "word": " of", "probability": 0.97412109375}, {"start": 3346.09, "end": 3346.61, "word": " واحد", "probability": 0.976318359375}, {"start": 3346.61, "end": 3347.45, "word": " لأنها", "probability": 0.83837890625}, {"start": 3347.45, "end": 3348.19, "word": " continuous", "probability": 0.947265625}, {"start": 3348.19, "end": 3349.55, "word": " بصير", "probability": 0.814453125}, {"start": 3349.55, "end": 3349.95, "word": " عندى", "probability": 0.8349609375}, {"start": 3349.95, "end": 3350.25, "word": " مدام", "probability": 0.7838541666666666}, {"start": 3350.25, "end": 3350.55, "word": " limit", "probability": 0.98974609375}, {"start": 3350.55, "end": 3350.75, "word": " إذا", "probability": 0.61181640625}, {"start": 3350.75, "end": 3351.17, "word": " بصير", "probability": 0.9739583333333334}, {"start": 3351.17, "end": 3351.61, "word": " أقدر", "probability": 0.9646809895833334}, {"start": 3351.61, "end": 3352.13, "word": " أقرب", "probability": 0.9129231770833334}, {"start": 3352.13, "end": 3352.57, "word": " هذه", "probability": 0.875}, {"start": 3352.57, "end": 3353.37, "word": " القيمة", "probability": 0.9842122395833334}, {"start": 3353.37, "end": 3353.91, "word": " اللي", "probability": 0.7359619140625}, {"start": 3353.91, "end": 3354.31, "word": " هي", "probability": 0.82421875}, {"start": 3354.31, "end": 3354.63, "word": " و", "probability": 0.9287109375}, {"start": 3354.63, "end": 3355.09, "word": " نحصل", "probability": 0.8694661458333334}, {"start": 3355.09, "end": 3355.27, "word": " على", "probability": 0.8330078125}, {"start": 3355.27, "end": 3355.63, "word": " قيمة", "probability": 0.9900716145833334}, {"start": 3355.63, "end": 3356.07, "word": " تقريبية", "probability": 0.9654296875}, {"start": 3356.07, "end": 3356.25, "word": " بال", "probability": 0.955078125}, {"start": 3356.25, "end": 3356.37, "word": " E", "probability": 0.267822265625}, {"start": 3356.37, "end": 3356.49, "word": " و", "probability": 0.49267578125}, {"start": 3356.49, "end": 3356.65, "word": " هذا", "probability": 0.8212890625}, {"start": 3356.65, "end": 3356.83, "word": " مش", "probability": 0.98779296875}, {"start": 3356.83, "end": 3357.27, "word": " شغلنا", "probability": 0.9573974609375}, {"start": 3357.27, "end": 3357.95, "word": " شغل", "probability": 0.89794921875}, {"start": 3357.95, "end": 3358.49, "word": " تبعين", "probability": 0.9691162109375}, {"start": 3358.49, "end": 3358.77, "word": " اللي", "probability": 0.96484375}, {"start": 3358.77, "end": 3358.89, "word": " هو", "probability": 0.9267578125}, {"start": 3358.89, "end": 3359.29, "word": " numerical", "probability": 0.9931640625}, {"start": 3359.29, "end": 3360.01, "word": " analysis", "probability": 0.794921875}, {"start": 3360.01, "end": 3360.35, "word": " أو", "probability": 0.884765625}, {"start": 3360.35, "end": 3360.69, "word": " الناس", "probability": 0.98486328125}, {"start": 3360.69, "end": 3360.87, "word": " اللي", "probability": 0.947509765625}, {"start": 3360.87, "end": 3361.75, "word": " بدأت", "probability": 0.6153157552083334}, {"start": 3361.75, "end": 3361.75, "word": " ..", "probability": 0.2283935546875}, {"start": 3361.75, "end": 3361.89, "word": " اللي", "probability": 0.98779296875}, {"start": 3361.89, "end": 3362.13, "word": " هي", "probability": 0.85302734375}, {"start": 3362.13, "end": 3363.05, "word": " تشتغل", "probability": 0.98544921875}, {"start": 3363.05, "end": 3363.33, "word": " في", "probability": 0.908203125}, {"start": 3363.33, "end": 3364.25, "word": " التقريب", "probability": 0.989013671875}, {"start": 3364.25, "end": 3365.53, "word": " أو", "probability": 0.75341796875}, {"start": 3365.53, "end": 3365.71, "word": " مش", "probability": 0.95458984375}, {"start": 3365.71, "end": 3365.93, "word": " شغل", "probability": 0.9951171875}, {"start": 3365.93, "end": 3366.31, "word": " نهاني", "probability": 0.9249267578125}, {"start": 3366.31, "end": 3366.51, "word": " يعني", "probability": 0.89111328125}, {"start": 3366.51, "end": 3366.89, "word": " بصدي", "probability": 0.8346354166666666}], "temperature": 1.0}, {"id": 152, "seek": 338615, "start": 3367.73, "end": 3386.15, "text": "إلى أن الـ use of notation E و X of E X زي ما قلنا كله تمام تمام consistent إلى أن يجي اللي هو لبعض الخواص الأخرى لهذه اللي هي الدالة إلى أن الـ exponential function satisfies the following properties", "tokens": [28814, 23942, 14739, 2423, 39184, 764, 295, 24657, 462, 4032, 1783, 295, 462, 1783, 30767, 1829, 19446, 12174, 1211, 8315, 28242, 3224, 46811, 10943, 46811, 10943, 8398, 30731, 14739, 7251, 7435, 1829, 13672, 1829, 31439, 5296, 3555, 3615, 11242, 33962, 2407, 33546, 16247, 34740, 7578, 46740, 24192, 13672, 1829, 39896, 32748, 6027, 3660, 30731, 14739, 2423, 39184, 21510, 2445, 44271, 264, 3480, 7221], "avg_logprob": -0.27050780737772584, "compression_ratio": 1.4842105263157894, "no_speech_prob": 0.0, "words": [{"start": 3367.73, "end": 3368.01, "word": "إلى", "probability": 0.5498046875}, {"start": 3368.01, "end": 3368.15, "word": " أن", "probability": 0.89306640625}, {"start": 3368.15, "end": 3368.25, "word": " الـ", "probability": 0.578369140625}, {"start": 3368.25, "end": 3368.47, "word": " use", "probability": 0.62353515625}, {"start": 3368.47, "end": 3368.65, "word": " of", "probability": 0.97265625}, {"start": 3368.65, "end": 3369.07, "word": " notation", "probability": 0.78759765625}, {"start": 3369.07, "end": 3369.27, "word": " E", "probability": 0.445556640625}, {"start": 3369.27, "end": 3369.43, "word": " و", "probability": 0.312744140625}, {"start": 3369.43, "end": 3369.53, "word": " X", "probability": 0.6923828125}, {"start": 3369.53, "end": 3369.67, "word": " of", "probability": 0.4658203125}, {"start": 3369.67, "end": 3369.81, "word": " E", "probability": 0.54345703125}, {"start": 3369.81, "end": 3369.97, "word": " X", "probability": 0.420654296875}, {"start": 3369.97, "end": 3370.31, "word": " زي", "probability": 0.642578125}, {"start": 3370.31, "end": 3370.37, "word": " ما", "probability": 0.97802734375}, {"start": 3370.37, "end": 3371.01, "word": " قلنا", "probability": 0.8902994791666666}, {"start": 3371.01, "end": 3372.11, "word": " كله", "probability": 0.796630859375}, {"start": 3372.11, "end": 3372.83, "word": " تمام", "probability": 0.9794921875}, {"start": 3372.83, "end": 3373.81, "word": " تمام", "probability": 0.82470703125}, {"start": 3373.81, "end": 3374.65, "word": " consistent", "probability": 0.751953125}, {"start": 3374.65, "end": 3375.05, "word": " إلى", "probability": 0.6669921875}, {"start": 3375.05, "end": 3375.23, "word": " أن", "probability": 0.732421875}, {"start": 3375.23, "end": 3375.99, "word": " يجي", "probability": 0.748046875}, {"start": 3375.99, "end": 3376.25, "word": " اللي", "probability": 0.83935546875}, {"start": 3376.25, "end": 3376.49, "word": " هو", "probability": 0.9892578125}, {"start": 3376.49, "end": 3377.03, "word": " لبعض", "probability": 0.982177734375}, {"start": 3377.03, "end": 3377.49, "word": " الخواص", "probability": 0.8253580729166666}, {"start": 3377.49, "end": 3378.31, "word": " الأخرى", "probability": 0.9402669270833334}, {"start": 3378.31, "end": 3379.15, "word": " لهذه", "probability": 0.7147216796875}, {"start": 3379.15, "end": 3379.49, "word": " اللي", "probability": 0.94384765625}, {"start": 3379.49, "end": 3379.91, "word": " هي", "probability": 0.95166015625}, {"start": 3379.91, "end": 3380.79, "word": " الدالة", "probability": 0.9342447916666666}, {"start": 3380.79, "end": 3381.33, "word": " إلى", "probability": 0.88818359375}, {"start": 3381.33, "end": 3381.47, "word": " أن", "probability": 0.94775390625}, {"start": 3381.47, "end": 3381.57, "word": " الـ", "probability": 0.543212890625}, {"start": 3381.57, "end": 3381.95, "word": " exponential", "probability": 0.8525390625}, {"start": 3381.95, "end": 3382.81, "word": " function", "probability": 0.95751953125}, {"start": 3382.81, "end": 3384.13, "word": " satisfies", "probability": 0.8427734375}, {"start": 3384.13, "end": 3385.17, "word": " the", "probability": 0.8828125}, {"start": 3385.17, "end": 3385.73, "word": " following", "probability": 0.88525390625}, {"start": 3385.73, "end": 3386.15, "word": " properties", "probability": 0.56103515625}], "temperature": 1.0}, {"id": 153, "seek": 341688, "start": 3392.62, "end": 3416.88, "text": "أول حاجة أن الـ E of X لا تساوي سفر لكل X element in R هي أول حاجة أن هذه الدالة دايما لا تساوي سفر طبعا شغالة على R E of X زي Y بسوء E of X في E of Y for all X element .. Y element in R الآن E of R هنا اللي هي E of R قيمة الـ function هذه هتطلع لنا بالظبط", "tokens": [10721, 12610, 11331, 26108, 3660, 14739, 2423, 39184, 462, 295, 1783, 20193, 6055, 3794, 995, 45865, 8608, 5172, 2288, 5296, 28820, 1783, 4478, 294, 497, 39896, 5551, 12610, 11331, 26108, 3660, 14739, 29538, 32748, 6027, 3660, 11778, 47302, 15042, 20193, 6055, 3794, 995, 45865, 8608, 5172, 2288, 23032, 3555, 3615, 995, 13412, 17082, 6027, 3660, 15844, 497, 462, 295, 1783, 30767, 1829, 398, 4724, 3794, 2407, 38207, 462, 295, 1783, 8978, 462, 295, 398, 337, 439, 1783, 4478, 4386, 398, 4478, 294, 497, 6024, 48506, 462, 295, 497, 34105, 13672, 1829, 39896, 462, 295, 497, 12174, 32640, 3660, 2423, 39184, 2445, 29538, 8032, 2655, 9566, 1211, 3615, 5296, 8315, 20666, 19913, 3555, 9566], "avg_logprob": -0.22738486266972727, "compression_ratio": 1.7348837209302326, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 3392.62, "end": 3392.96, "word": "أول", "probability": 0.917724609375}, {"start": 3392.96, "end": 3393.42, "word": " حاجة", "probability": 0.970703125}, {"start": 3393.42, "end": 3393.88, "word": " أن", "probability": 0.564453125}, {"start": 3393.88, "end": 3394.06, "word": " الـ", "probability": 0.663818359375}, {"start": 3394.06, "end": 3394.16, "word": " E", "probability": 0.69873046875}, {"start": 3394.16, "end": 3394.3, "word": " of", "probability": 0.41650390625}, {"start": 3394.3, "end": 3394.5, "word": " X", "probability": 0.95361328125}, {"start": 3394.5, "end": 3394.66, "word": " لا", "probability": 0.73095703125}, {"start": 3394.66, "end": 3394.92, "word": " تساوي", "probability": 0.813232421875}, {"start": 3394.92, "end": 3395.18, "word": " سفر", "probability": 0.6974690755208334}, {"start": 3395.18, "end": 3395.5, "word": " لكل", "probability": 0.958984375}, {"start": 3395.5, "end": 3395.7, "word": " X", "probability": 0.92431640625}, {"start": 3395.7, "end": 3395.96, "word": " element", "probability": 0.66357421875}, {"start": 3395.96, "end": 3396.14, "word": " in", "probability": 0.310546875}, {"start": 3396.14, "end": 3396.22, "word": " R", "probability": 0.99560546875}, {"start": 3396.22, "end": 3396.34, "word": " هي", "probability": 0.0936279296875}, {"start": 3396.34, "end": 3396.54, "word": " أول", "probability": 0.952392578125}, {"start": 3396.54, "end": 3396.9, "word": " حاجة", "probability": 0.9972330729166666}, {"start": 3396.9, "end": 3397.52, "word": " أن", "probability": 0.54638671875}, {"start": 3397.52, "end": 3397.78, "word": " هذه", "probability": 0.499755859375}, {"start": 3397.78, "end": 3398.48, "word": " الدالة", "probability": 0.9352213541666666}, {"start": 3398.48, "end": 3399.28, "word": " دايما", "probability": 0.7478841145833334}, {"start": 3399.28, "end": 3399.42, "word": " لا", "probability": 0.75830078125}, {"start": 3399.42, "end": 3399.78, "word": " تساوي", "probability": 0.971923828125}, {"start": 3399.78, "end": 3400.14, "word": " سفر", "probability": 0.98291015625}, {"start": 3400.14, "end": 3402.38, "word": " طبعا", "probability": 0.8568115234375}, {"start": 3402.38, "end": 3402.8, "word": " شغالة", "probability": 0.8284912109375}, {"start": 3402.8, "end": 3402.9, "word": " على", "probability": 0.89013671875}, {"start": 3402.9, "end": 3403.16, "word": " R", "probability": 0.90283203125}, {"start": 3403.16, "end": 3403.92, "word": " E", "probability": 0.85009765625}, {"start": 3403.92, "end": 3404.04, "word": " of", "probability": 0.88671875}, {"start": 3404.04, "end": 3404.2, "word": " X", "probability": 0.6806640625}, {"start": 3404.2, "end": 3404.34, "word": " زي", "probability": 0.53173828125}, {"start": 3404.34, "end": 3404.54, "word": " Y", "probability": 0.6044921875}, {"start": 3404.54, "end": 3404.9, "word": " بسوء", "probability": 0.6126708984375}, {"start": 3404.9, "end": 3405.06, "word": " E", "probability": 0.74462890625}, {"start": 3405.06, "end": 3405.14, "word": " of", "probability": 0.6513671875}, {"start": 3405.14, "end": 3405.34, "word": " X", "probability": 0.99267578125}, {"start": 3405.34, "end": 3405.52, "word": " في", "probability": 0.93603515625}, {"start": 3405.52, "end": 3405.66, "word": " E", "probability": 0.94384765625}, {"start": 3405.66, "end": 3405.8, "word": " of", "probability": 0.9716796875}, {"start": 3405.8, "end": 3405.98, "word": " Y", "probability": 0.9970703125}, {"start": 3405.98, "end": 3406.2, "word": " for", "probability": 0.755859375}, {"start": 3406.2, "end": 3406.44, "word": " all", "probability": 0.837890625}, {"start": 3406.44, "end": 3406.7, "word": " X", "probability": 0.65185546875}, {"start": 3406.7, "end": 3407.16, "word": " element", "probability": 0.572265625}, {"start": 3407.16, "end": 3407.4, "word": " ..", "probability": 0.359130859375}, {"start": 3407.4, "end": 3407.68, "word": " Y", "probability": 0.6171875}, {"start": 3407.68, "end": 3408.0, "word": " element", "probability": 0.94677734375}, {"start": 3408.0, "end": 3408.18, "word": " in", "probability": 0.955078125}, {"start": 3408.18, "end": 3408.36, "word": " R", "probability": 0.99853515625}, {"start": 3408.36, "end": 3409.16, "word": " الآن", "probability": 0.65869140625}, {"start": 3409.16, "end": 3409.7, "word": " E", "probability": 0.9736328125}, {"start": 3409.7, "end": 3410.1, "word": " of", "probability": 0.982421875}, {"start": 3410.1, "end": 3410.88, "word": " R", "probability": 0.9970703125}, {"start": 3410.88, "end": 3411.68, "word": " هنا", "probability": 0.93017578125}, {"start": 3411.68, "end": 3412.56, "word": " اللي", "probability": 0.841796875}, {"start": 3412.56, "end": 3412.7, "word": " هي", "probability": 0.9375}, {"start": 3412.7, "end": 3412.86, "word": " E", "probability": 0.94970703125}, {"start": 3412.86, "end": 3412.98, "word": " of", "probability": 0.97802734375}, {"start": 3412.98, "end": 3413.14, "word": " R", "probability": 0.98681640625}, {"start": 3413.14, "end": 3413.56, "word": " قيمة", "probability": 0.98095703125}, {"start": 3413.56, "end": 3413.78, "word": " الـ", "probability": 0.875244140625}, {"start": 3413.78, "end": 3414.1, "word": " function", "probability": 0.70751953125}, {"start": 3414.1, "end": 3414.62, "word": " هذه", "probability": 0.89111328125}, {"start": 3414.62, "end": 3415.76, "word": " هتطلع", "probability": 0.9009765625}, {"start": 3415.76, "end": 3416.08, "word": " لنا", "probability": 0.785400390625}, {"start": 3416.08, "end": 3416.88, "word": " بالظبط", "probability": 0.98779296875}], "temperature": 1.0}, {"id": 154, "seek": 344408, "start": 3417.1, "end": 3444.08, "text": "هي عبارة عن الـ E اللي قلنا عنها الرقم اللي قبل و شوية لما نرفع للقوة R فبصير الان consistency between the definition of the exponential and the exponent of E to the power R بس هذي الـ R إيش اللي من الين؟ NQ لان ماشي الحالة ده نشوف نبرهن اللي هو الأولى by contradiction", "tokens": [3224, 1829, 6225, 3555, 9640, 3660, 18871, 2423, 39184, 462, 13672, 1829, 12174, 1211, 8315, 18871, 11296, 34892, 4587, 2304, 13672, 1829, 12174, 36150, 4032, 13412, 2407, 10632, 5296, 15042, 8717, 28480, 3615, 24976, 4587, 2407, 3660, 497, 6156, 3555, 9381, 13546, 2423, 7649, 14416, 1296, 264, 7123, 295, 264, 21510, 293, 264, 37871, 295, 462, 281, 264, 1347, 497, 4724, 3794, 8032, 8848, 1829, 2423, 39184, 497, 11933, 1829, 8592, 13672, 1829, 9154, 2423, 9957, 22807, 426, 48, 5296, 7649, 3714, 33599, 1829, 21542, 6027, 3660, 11778, 3224, 8717, 8592, 38688, 8717, 26890, 3224, 1863, 13672, 1829, 31439, 16247, 12610, 7578, 538, 34937], "avg_logprob": -0.2614583197094145, "compression_ratio": 1.5685483870967742, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 3417.1, "end": 3417.56, "word": "هي", "probability": 0.814697265625}, {"start": 3417.56, "end": 3418.08, "word": " عبارة", "probability": 0.9881591796875}, {"start": 3418.08, "end": 3418.36, "word": " عن", "probability": 0.9951171875}, {"start": 3418.36, "end": 3418.62, "word": " الـ", "probability": 0.789794921875}, {"start": 3418.62, "end": 3418.84, "word": " E", "probability": 0.64892578125}, {"start": 3418.84, "end": 3419.06, "word": " اللي", "probability": 0.75341796875}, {"start": 3419.06, "end": 3419.42, "word": " قلنا", "probability": 0.9150390625}, {"start": 3419.42, "end": 3419.72, "word": " عنها", "probability": 0.98486328125}, {"start": 3419.72, "end": 3420.12, "word": " الرقم", "probability": 0.916015625}, {"start": 3420.12, "end": 3420.26, "word": " اللي", "probability": 0.9609375}, {"start": 3420.26, "end": 3420.5, "word": " قبل", "probability": 0.964111328125}, {"start": 3420.5, "end": 3420.62, "word": " و", "probability": 0.82373046875}, {"start": 3420.62, "end": 3421.08, "word": " شوية", "probability": 0.89599609375}, {"start": 3421.08, "end": 3422.14, "word": " لما", "probability": 0.894775390625}, {"start": 3422.14, "end": 3422.86, "word": " نرفع", "probability": 0.9845377604166666}, {"start": 3422.86, "end": 3423.52, "word": " للقوة", "probability": 0.81561279296875}, {"start": 3423.52, "end": 3423.82, "word": " R", "probability": 0.86962890625}, {"start": 3423.82, "end": 3424.68, "word": " فبصير", "probability": 0.89697265625}, {"start": 3424.68, "end": 3424.98, "word": " الان", "probability": 0.58599853515625}, {"start": 3424.98, "end": 3426.0, "word": " consistency", "probability": 0.56787109375}, {"start": 3426.0, "end": 3426.74, "word": " between", "probability": 0.8671875}, {"start": 3426.74, "end": 3427.5, "word": " the", "probability": 0.78955078125}, {"start": 3427.5, "end": 3428.48, "word": " definition", "probability": 0.9111328125}, {"start": 3428.48, "end": 3429.04, "word": " of", "probability": 0.97509765625}, {"start": 3429.04, "end": 3429.24, "word": " the", "probability": 0.7734375}, {"start": 3429.24, "end": 3430.1, "word": " exponential", "probability": 0.92138671875}, {"start": 3430.1, "end": 3431.16, "word": " and", "probability": 0.92138671875}, {"start": 3431.16, "end": 3431.44, "word": " the", "probability": 0.6123046875}, {"start": 3431.44, "end": 3432.34, "word": " exponent", "probability": 0.939453125}, {"start": 3432.34, "end": 3432.9, "word": " of", "probability": 0.974609375}, {"start": 3432.9, "end": 3433.24, "word": " E", "probability": 0.96533203125}, {"start": 3433.24, "end": 3433.54, "word": " to", "probability": 0.8681640625}, {"start": 3433.54, "end": 3433.74, "word": " the", "probability": 0.90625}, {"start": 3433.74, "end": 3434.0, "word": " power", "probability": 0.853515625}, {"start": 3434.0, "end": 3434.36, "word": " R", "probability": 0.94775390625}, {"start": 3434.36, "end": 3434.64, "word": " بس", "probability": 0.9638671875}, {"start": 3434.64, "end": 3434.94, "word": " هذي", "probability": 0.49609375}, {"start": 3434.94, "end": 3435.1, "word": " الـ", "probability": 0.52099609375}, {"start": 3435.1, "end": 3435.22, "word": " R", "probability": 0.58154296875}, {"start": 3435.22, "end": 3435.52, "word": " إيش", "probability": 0.720458984375}, {"start": 3435.52, "end": 3435.7, "word": " اللي", "probability": 0.894287109375}, {"start": 3435.7, "end": 3435.84, "word": " من", "probability": 0.56884765625}, {"start": 3435.84, "end": 3436.76, "word": " الين؟", "probability": 0.2500813802083333}, {"start": 3436.76, "end": 3437.22, "word": " NQ", "probability": 0.5771484375}, {"start": 3437.22, "end": 3437.48, "word": " لان", "probability": 0.399169921875}, {"start": 3437.48, "end": 3438.18, "word": " ماشي", "probability": 0.84521484375}, {"start": 3438.18, "end": 3438.72, "word": " الحالة", "probability": 0.8234049479166666}, {"start": 3438.72, "end": 3438.84, "word": " ده", "probability": 0.6744384765625}, {"start": 3438.84, "end": 3439.26, "word": " نشوف", "probability": 0.9264322916666666}, {"start": 3439.26, "end": 3441.44, "word": " نبرهن", "probability": 0.8468017578125}, {"start": 3441.44, "end": 3441.58, "word": " اللي", "probability": 0.966064453125}, {"start": 3441.58, "end": 3441.88, "word": " هو", "probability": 0.994140625}, {"start": 3441.88, "end": 3443.0, "word": " الأولى", "probability": 0.87255859375}, {"start": 3443.0, "end": 3443.48, "word": " by", "probability": 0.623046875}, {"start": 3443.48, "end": 3444.08, "word": " contradiction", "probability": 0.88818359375}], "temperature": 1.0}, {"id": 155, "seek": 346121, "start": 3444.81, "end": 3461.21, "text": "بدي افترض انه في عندي E of α for some α element in R والـ E of α ايش تساوي تساوي سفر ونوصل لcontradiction لان suppose that there exists α element in R such that E of α ايش بساوي بساوي سفر", "tokens": [3555, 16254, 1975, 5172, 2655, 43042, 16472, 3224, 8978, 43242, 1829, 462, 295, 5691, 337, 512, 5691, 4478, 294, 497, 16070, 39184, 462, 295, 5691, 1975, 1829, 8592, 6055, 3794, 995, 45865, 6055, 3794, 995, 45865, 8608, 5172, 2288, 4032, 1863, 2407, 36520, 5296, 9000, 6206, 4105, 5296, 7649, 7297, 300, 456, 8198, 5691, 4478, 294, 497, 1270, 300, 462, 295, 5691, 1975, 1829, 8592, 4724, 3794, 995, 45865, 4724, 3794, 995, 45865, 8608, 5172, 2288], "avg_logprob": -0.3331980457553616, "compression_ratio": 1.5582822085889572, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 3444.81, "end": 3445.25, "word": "بدي", "probability": 0.225341796875}, {"start": 3445.25, "end": 3445.71, "word": " افترض", "probability": 0.9217529296875}, {"start": 3445.71, "end": 3446.11, "word": " انه", "probability": 0.518798828125}, {"start": 3446.11, "end": 3446.27, "word": " في", "probability": 0.7978515625}, {"start": 3446.27, "end": 3446.95, "word": " عندي", "probability": 0.5709228515625}, {"start": 3446.95, "end": 3447.19, "word": " E", "probability": 0.63623046875}, {"start": 3447.19, "end": 3447.39, "word": " of", "probability": 0.19775390625}, {"start": 3447.39, "end": 3447.75, "word": " α", "probability": 0.3505859375}, {"start": 3447.75, "end": 3448.85, "word": " for", "probability": 0.8125}, {"start": 3448.85, "end": 3449.21, "word": " some", "probability": 0.89208984375}, {"start": 3449.21, "end": 3449.55, "word": " α", "probability": 0.732421875}, {"start": 3449.55, "end": 3449.91, "word": " element", "probability": 0.9130859375}, {"start": 3449.91, "end": 3450.13, "word": " in", "probability": 0.93603515625}, {"start": 3450.13, "end": 3450.39, "word": " R", "probability": 0.990234375}, {"start": 3450.39, "end": 3450.75, "word": " والـ", "probability": 0.4222412109375}, {"start": 3450.75, "end": 3450.85, "word": " E", "probability": 0.73583984375}, {"start": 3450.85, "end": 3450.97, "word": " of", "probability": 0.90087890625}, {"start": 3450.97, "end": 3451.19, "word": " α", "probability": 0.7587890625}, {"start": 3451.19, "end": 3451.39, "word": " ايش", "probability": 0.67724609375}, {"start": 3451.39, "end": 3451.93, "word": " تساوي", "probability": 0.94677734375}, {"start": 3451.93, "end": 3452.61, "word": " تساوي", "probability": 0.83349609375}, {"start": 3452.61, "end": 3452.87, "word": " سفر", "probability": 0.7195638020833334}, {"start": 3452.87, "end": 3453.21, "word": " ونوصل", "probability": 0.8011474609375}, {"start": 3453.21, "end": 3454.07, "word": " لcontradiction", "probability": 0.78802490234375}, {"start": 3454.07, "end": 3454.73, "word": " لان", "probability": 0.4833984375}, {"start": 3454.73, "end": 3455.15, "word": " suppose", "probability": 0.84423828125}, {"start": 3455.15, "end": 3455.87, "word": " that", "probability": 0.9228515625}, {"start": 3455.87, "end": 3456.21, "word": " there", "probability": 0.912109375}, {"start": 3456.21, "end": 3456.73, "word": " exists", "probability": 0.48583984375}, {"start": 3456.73, "end": 3457.07, "word": " α", "probability": 0.5263671875}, {"start": 3457.07, "end": 3457.47, "word": " element", "probability": 0.9423828125}, {"start": 3457.47, "end": 3457.77, "word": " in", "probability": 0.95166015625}, {"start": 3457.77, "end": 3458.03, "word": " R", "probability": 0.98974609375}, {"start": 3458.03, "end": 3458.37, "word": " such", "probability": 0.94921875}, {"start": 3458.37, "end": 3458.77, "word": " that", "probability": 0.9521484375}, {"start": 3458.77, "end": 3458.95, "word": " E", "probability": 0.93212890625}, {"start": 3458.95, "end": 3459.09, "word": " of", "probability": 0.9716796875}, {"start": 3459.09, "end": 3459.35, "word": " α", "probability": 0.9072265625}, {"start": 3459.35, "end": 3459.55, "word": " ايش", "probability": 0.8317057291666666}, {"start": 3459.55, "end": 3460.07, "word": " بساوي", "probability": 0.8560791015625}, {"start": 3460.07, "end": 3460.87, "word": " بساوي", "probability": 0.79345703125}, {"start": 3460.87, "end": 3461.21, "word": " سفر", "probability": 0.958984375}], "temperature": 1.0}, {"id": 156, "seek": 347741, "start": 3461.65, "end": 3477.41, "text": "الآن and let G α be the closed interval with endpoints mean α و 0 يعني الـ G of α زي اللي فوق يا بساوي اللي هو 0 ألفة أو ألف و زيره حسب قيمة الألف موجبة أو سالبة طيب", "tokens": [6027, 148, 48506, 293, 718, 460, 5691, 312, 264, 5395, 15035, 365, 917, 20552, 914, 5691, 4032, 1958, 37495, 22653, 2423, 39184, 460, 295, 5691, 30767, 1829, 13672, 1829, 6156, 30543, 35186, 4724, 3794, 995, 45865, 13672, 1829, 31439, 1958, 5551, 46538, 3660, 34051, 5551, 46538, 4032, 30767, 13546, 3224, 11331, 35457, 12174, 32640, 3660, 16247, 46538, 3714, 29245, 49401, 34051, 8608, 6027, 49401, 23032, 1829, 3555], "avg_logprob": -0.34788603642407584, "compression_ratio": 1.4046242774566473, "no_speech_prob": 2.7477741241455078e-05, "words": [{"start": 3461.65, "end": 3462.15, "word": "الآن", "probability": 0.6617431640625}, {"start": 3462.15, "end": 3462.51, "word": " and", "probability": 0.56591796875}, {"start": 3462.51, "end": 3462.77, "word": " let", "probability": 0.94873046875}, {"start": 3462.77, "end": 3463.03, "word": " G", "probability": 0.5849609375}, {"start": 3463.03, "end": 3463.37, "word": " α", "probability": 0.36669921875}, {"start": 3463.37, "end": 3464.09, "word": " be", "probability": 0.68798828125}, {"start": 3464.09, "end": 3464.35, "word": " the", "probability": 0.83837890625}, {"start": 3464.35, "end": 3464.75, "word": " closed", "probability": 0.84521484375}, {"start": 3464.75, "end": 3465.37, "word": " interval", "probability": 0.94677734375}, {"start": 3465.37, "end": 3465.65, "word": " with", "probability": 0.85205078125}, {"start": 3465.65, "end": 3466.33, "word": " endpoints", "probability": 0.70751953125}, {"start": 3466.33, "end": 3466.79, "word": " mean", "probability": 0.42626953125}, {"start": 3466.79, "end": 3467.33, "word": " α", "probability": 0.5439453125}, {"start": 3467.33, "end": 3467.99, "word": " و", "probability": 0.53173828125}, {"start": 3467.99, "end": 3468.33, "word": " 0", "probability": 0.4638671875}, {"start": 3468.33, "end": 3469.05, "word": " يعني", "probability": 0.77978515625}, {"start": 3469.05, "end": 3469.23, "word": " الـ", "probability": 0.6767578125}, {"start": 3469.23, "end": 3469.35, "word": " G", "probability": 0.64501953125}, {"start": 3469.35, "end": 3469.49, "word": " of", "probability": 0.10418701171875}, {"start": 3469.49, "end": 3469.71, "word": " α", "probability": 0.56689453125}, {"start": 3469.71, "end": 3470.01, "word": " زي", "probability": 0.953857421875}, {"start": 3470.01, "end": 3470.13, "word": " اللي", "probability": 0.903076171875}, {"start": 3470.13, "end": 3470.73, "word": " فوق", "probability": 0.96826171875}, {"start": 3470.73, "end": 3471.23, "word": " يا", "probability": 0.30517578125}, {"start": 3471.23, "end": 3471.79, "word": " بساوي", "probability": 0.822509765625}, {"start": 3471.79, "end": 3472.03, "word": " اللي", "probability": 0.922119140625}, {"start": 3472.03, "end": 3472.17, "word": " هو", "probability": 0.9814453125}, {"start": 3472.17, "end": 3472.47, "word": " 0", "probability": 0.3232421875}, {"start": 3472.47, "end": 3473.11, "word": " ألفة", "probability": 0.5483805338541666}, {"start": 3473.11, "end": 3473.51, "word": " أو", "probability": 0.9580078125}, {"start": 3473.51, "end": 3473.75, "word": " ألف", "probability": 0.884765625}, {"start": 3473.75, "end": 3473.89, "word": " و", "probability": 0.591796875}, {"start": 3473.89, "end": 3474.23, "word": " زيره", "probability": 0.5272623697916666}, {"start": 3474.23, "end": 3474.55, "word": " حسب", "probability": 0.970458984375}, {"start": 3474.55, "end": 3474.95, "word": " قيمة", "probability": 0.994140625}, {"start": 3474.95, "end": 3475.23, "word": " الألف", "probability": 0.815185546875}, {"start": 3475.23, "end": 3475.75, "word": " موجبة", "probability": 0.8274739583333334}, {"start": 3475.75, "end": 3476.03, "word": " أو", "probability": 0.96826171875}, {"start": 3476.03, "end": 3476.45, "word": " سالبة", "probability": 0.97021484375}, {"start": 3476.45, "end": 3477.41, "word": " طيب", "probability": 0.9137369791666666}], "temperature": 1.0}, {"id": 157, "seek": 349244, "start": 3478.44, "end": 3492.44, "text": "الان زي ما قلت قبل بشوية بما ان E is continuous on a closed interval Iα او Jα اللي هو مسميها then there exist case such that اللي هو ال absolute value E of D أصفر سوى K لكل T element in G", "tokens": [6027, 7649, 30767, 1829, 19446, 12174, 1211, 2655, 12174, 36150, 4724, 8592, 2407, 10632, 4724, 15042, 16472, 462, 307, 10957, 322, 257, 5395, 15035, 286, 1529, 1975, 2407, 508, 1529, 13672, 1829, 31439, 3714, 38251, 1829, 11296, 550, 456, 2514, 1389, 1270, 300, 13672, 1829, 31439, 2423, 8236, 2158, 462, 295, 413, 5551, 9381, 5172, 2288, 8608, 2407, 7578, 591, 5296, 28820, 314, 4478, 294, 460], "avg_logprob": -0.3003731414453307, "compression_ratio": 1.3172043010752688, "no_speech_prob": 0.0, "words": [{"start": 3478.44, "end": 3478.92, "word": "الان", "probability": 0.722900390625}, {"start": 3478.92, "end": 3479.14, "word": " زي", "probability": 0.6126708984375}, {"start": 3479.14, "end": 3479.2, "word": " ما", "probability": 0.93408203125}, {"start": 3479.2, "end": 3479.44, "word": " قلت", "probability": 0.8175455729166666}, {"start": 3479.44, "end": 3479.68, "word": " قبل", "probability": 0.956787109375}, {"start": 3479.68, "end": 3480.16, "word": " بشوية", "probability": 0.8553466796875}, {"start": 3480.16, "end": 3480.52, "word": " بما", "probability": 0.84912109375}, {"start": 3480.52, "end": 3480.8, "word": " ان", "probability": 0.7626953125}, {"start": 3480.8, "end": 3481.08, "word": " E", "probability": 0.72412109375}, {"start": 3481.08, "end": 3481.3, "word": " is", "probability": 0.736328125}, {"start": 3481.3, "end": 3481.76, "word": " continuous", "probability": 0.8427734375}, {"start": 3481.76, "end": 3482.08, "word": " on", "probability": 0.9150390625}, {"start": 3482.08, "end": 3482.2, "word": " a", "probability": 0.931640625}, {"start": 3482.2, "end": 3482.48, "word": " closed", "probability": 0.88232421875}, {"start": 3482.48, "end": 3483.08, "word": " interval", "probability": 0.96728515625}, {"start": 3483.08, "end": 3484.12, "word": " Iα", "probability": 0.4051513671875}, {"start": 3484.12, "end": 3484.9, "word": " او", "probability": 0.6815185546875}, {"start": 3484.9, "end": 3485.38, "word": " Jα", "probability": 0.54296875}, {"start": 3485.38, "end": 3485.54, "word": " اللي", "probability": 0.658203125}, {"start": 3485.54, "end": 3485.68, "word": " هو", "probability": 0.9697265625}, {"start": 3485.68, "end": 3486.3, "word": " مسميها", "probability": 0.8826904296875}, {"start": 3486.3, "end": 3486.66, "word": " then", "probability": 0.556640625}, {"start": 3486.66, "end": 3487.22, "word": " there", "probability": 0.8251953125}, {"start": 3487.22, "end": 3487.7, "word": " exist", "probability": 0.74853515625}, {"start": 3487.7, "end": 3487.98, "word": " case", "probability": 0.29248046875}, {"start": 3487.98, "end": 3488.22, "word": " such", "probability": 0.92529296875}, {"start": 3488.22, "end": 3488.58, "word": " that", "probability": 0.9345703125}, {"start": 3488.58, "end": 3488.74, "word": " اللي", "probability": 0.6534423828125}, {"start": 3488.74, "end": 3488.88, "word": " هو", "probability": 0.97021484375}, {"start": 3488.88, "end": 3488.96, "word": " ال", "probability": 0.63818359375}, {"start": 3488.96, "end": 3489.34, "word": " absolute", "probability": 0.8896484375}, {"start": 3489.34, "end": 3489.76, "word": " value", "probability": 0.98291015625}, {"start": 3489.76, "end": 3489.94, "word": " E", "probability": 0.86865234375}, {"start": 3489.94, "end": 3490.12, "word": " of", "probability": 0.53515625}, {"start": 3490.12, "end": 3490.28, "word": " D", "probability": 0.85986328125}, {"start": 3490.28, "end": 3490.58, "word": " أصفر", "probability": 0.73431396484375}, {"start": 3490.58, "end": 3490.86, "word": " سوى", "probability": 0.5437825520833334}, {"start": 3490.86, "end": 3491.02, "word": " K", "probability": 0.6220703125}, {"start": 3491.02, "end": 3491.38, "word": " لكل", "probability": 0.96533203125}, {"start": 3491.38, "end": 3491.64, "word": " T", "probability": 0.91943359375}, {"start": 3491.64, "end": 3491.96, "word": " element", "probability": 0.7568359375}, {"start": 3491.96, "end": 3492.22, "word": " in", "probability": 0.83349609375}, {"start": 3492.22, "end": 3492.44, "word": " G", "probability": 0.9365234375}], "temperature": 1.0}, {"id": 158, "seek": 351979, "start": 3493.99, "end": 3519.79, "text": "الأن مشابه للي قبل دي ربالكم الان بدنا نستخدم mean taylor theorem اللي هو على اللي هي ال function اللي عندي هذه اللي هو بس في مين الآن في ال end points ألف ومين ألف وصفر اذا there exist cn element in dn such that مسرع لإنه قاعد بعيد نفس البرهان اللي قبله شوية such that اللي هو E of صفر", "tokens": [6027, 33456, 37893, 16758, 3224, 5296, 20292, 12174, 36150, 11778, 1829, 12602, 3555, 6027, 24793, 2423, 7649, 47525, 8315, 8717, 14851, 9778, 40448, 914, 39224, 6746, 20904, 13672, 1829, 31439, 15844, 13672, 1829, 39896, 2423, 2445, 13672, 1829, 18871, 16254, 29538, 13672, 1829, 31439, 4724, 3794, 8978, 3714, 9957, 6024, 48506, 8978, 2423, 917, 2793, 5551, 46538, 4032, 2304, 9957, 5551, 46538, 4032, 9381, 5172, 2288, 1975, 15730, 456, 2514, 269, 77, 4478, 294, 274, 77, 1270, 300, 3714, 3794, 2288, 3615, 5296, 28814, 1863, 3224, 12174, 995, 22488, 45030, 25708, 8717, 36178, 2423, 26890, 3224, 7649, 13672, 1829, 12174, 36150, 3224, 13412, 2407, 10632, 1270, 300, 13672, 1829, 31439, 462, 295, 20328, 5172, 2288], "avg_logprob": -0.3572198221909589, "compression_ratio": 1.6704980842911878, "no_speech_prob": 1.4424324035644531e-05, "words": [{"start": 3493.9900000000002, "end": 3494.71, "word": "الأن", "probability": 0.6214599609375}, {"start": 3494.71, "end": 3495.43, "word": " مشابه", "probability": 0.8134765625}, {"start": 3495.43, "end": 3495.65, "word": " للي", "probability": 0.32470703125}, {"start": 3495.65, "end": 3495.87, "word": " قبل", "probability": 0.74609375}, {"start": 3495.87, "end": 3496.03, "word": " دي", "probability": 0.4561767578125}, {"start": 3496.03, "end": 3496.47, "word": " ربالكم", "probability": 0.6412353515625}, {"start": 3496.47, "end": 3497.09, "word": " الان", "probability": 0.57177734375}, {"start": 3497.09, "end": 3497.33, "word": " بدنا", "probability": 0.65966796875}, {"start": 3497.33, "end": 3497.75, "word": " نستخدم", "probability": 0.98779296875}, {"start": 3497.75, "end": 3498.09, "word": " mean", "probability": 0.2481689453125}, {"start": 3498.09, "end": 3498.55, "word": " taylor", "probability": 0.693115234375}, {"start": 3498.55, "end": 3499.15, "word": " theorem", "probability": 0.5048828125}, {"start": 3499.15, "end": 3499.93, "word": " اللي", "probability": 0.890380859375}, {"start": 3499.93, "end": 3500.31, "word": " هو", "probability": 0.90576171875}, {"start": 3500.31, "end": 3500.95, "word": " على", "probability": 0.62548828125}, {"start": 3500.95, "end": 3501.45, "word": " اللي", "probability": 0.705810546875}, {"start": 3501.45, "end": 3501.77, "word": " هي", "probability": 0.8984375}, {"start": 3501.77, "end": 3502.39, "word": " ال", "probability": 0.93212890625}, {"start": 3502.39, "end": 3502.93, "word": " function", "probability": 0.284423828125}, {"start": 3502.93, "end": 3503.21, "word": " اللي", "probability": 0.979736328125}, {"start": 3503.21, "end": 3503.57, "word": " عندي", "probability": 0.7529296875}, {"start": 3503.57, "end": 3504.01, "word": " هذه", "probability": 0.398681640625}, {"start": 3504.01, "end": 3504.65, "word": " اللي", "probability": 0.97802734375}, {"start": 3504.65, "end": 3504.89, "word": " هو", "probability": 0.93701171875}, {"start": 3504.89, "end": 3505.25, "word": " بس", "probability": 0.955322265625}, {"start": 3505.25, "end": 3505.47, "word": " في", "probability": 0.8310546875}, {"start": 3505.47, "end": 3505.69, "word": " مين", "probability": 0.773193359375}, {"start": 3505.69, "end": 3506.11, "word": " الآن", "probability": 0.6624755859375}, {"start": 3506.11, "end": 3506.29, "word": " في", "probability": 0.72705078125}, {"start": 3506.29, "end": 3506.39, "word": " ال", "probability": 0.90380859375}, {"start": 3506.39, "end": 3506.59, "word": " end", "probability": 0.7919921875}, {"start": 3506.59, "end": 3507.01, "word": " points", "probability": 0.63671875}, {"start": 3507.01, "end": 3507.37, "word": " ألف", "probability": 0.5794677734375}, {"start": 3507.37, "end": 3507.93, "word": " ومين", "probability": 0.78173828125}, {"start": 3507.93, "end": 3508.69, "word": " ألف", "probability": 0.8818359375}, {"start": 3508.69, "end": 3509.31, "word": " وصفر", "probability": 0.7188720703125}, {"start": 3509.31, "end": 3509.81, "word": " اذا", "probability": 0.6400146484375}, {"start": 3509.81, "end": 3510.07, "word": " there", "probability": 0.794921875}, {"start": 3510.07, "end": 3510.47, "word": " exist", "probability": 0.4951171875}, {"start": 3510.47, "end": 3510.95, "word": " cn", "probability": 0.3897705078125}, {"start": 3510.95, "end": 3511.23, "word": " element", "probability": 0.30712890625}, {"start": 3511.23, "end": 3511.47, "word": " in", "probability": 0.8291015625}, {"start": 3511.47, "end": 3511.75, "word": " dn", "probability": 0.759765625}, {"start": 3511.75, "end": 3512.03, "word": " such", "probability": 0.76708984375}, {"start": 3512.03, "end": 3512.27, "word": " that", "probability": 0.953125}, {"start": 3512.27, "end": 3512.61, "word": " مسرع", "probability": 0.518035888671875}, {"start": 3512.61, "end": 3512.89, "word": " لإنه", "probability": 0.70623779296875}, {"start": 3512.89, "end": 3513.07, "word": " قاعد", "probability": 0.7674153645833334}, {"start": 3513.07, "end": 3513.33, "word": " بعيد", "probability": 0.854248046875}, {"start": 3513.33, "end": 3513.59, "word": " نفس", "probability": 0.95654296875}, {"start": 3513.59, "end": 3513.97, "word": " البرهان", "probability": 0.9161376953125}, {"start": 3513.97, "end": 3514.09, "word": " اللي", "probability": 0.98193359375}, {"start": 3514.09, "end": 3514.31, "word": " قبله", "probability": 0.9182942708333334}, {"start": 3514.31, "end": 3514.73, "word": " شوية", "probability": 0.9039713541666666}, {"start": 3514.73, "end": 3515.95, "word": " such", "probability": 0.78564453125}, {"start": 3515.95, "end": 3516.33, "word": " that", "probability": 0.9521484375}, {"start": 3516.33, "end": 3517.63, "word": " اللي", "probability": 0.929931640625}, {"start": 3517.63, "end": 3517.91, "word": " هو", "probability": 0.986328125}, {"start": 3517.91, "end": 3518.99, "word": " E", "probability": 0.73779296875}, {"start": 3518.99, "end": 3519.35, "word": " of", "probability": 0.91455078125}, {"start": 3519.35, "end": 3519.79, "word": " صفر", "probability": 0.8273111979166666}], "temperature": 1.0}, {"id": 159, "seek": 354330, "start": 3520.14, "end": 3543.3, "text": "بطبق عند e of 0 بساوي e of alpha زائد e prime of alpha على واحد factorial في ناقص alpha اللي هي zero ناقص alpha زائد e n ناقص واحد على ناقص واحد factorial alpha ناقص alpha أُس n ناقص واحد لما أصل لعند ال remainder e n of alpha على n factorial في ناقص alpha أُس n الآن اخلق هذه مش e alpha هذه الـCn", "tokens": [3555, 9566, 3555, 4587, 43242, 308, 295, 1958, 4724, 3794, 995, 45865, 308, 295, 8961, 30767, 16373, 3215, 308, 5835, 295, 8961, 15844, 36764, 24401, 36916, 8978, 8717, 995, 4587, 9381, 8961, 13672, 1829, 39896, 4018, 8717, 995, 4587, 9381, 8961, 30767, 16373, 3215, 308, 297, 8717, 995, 4587, 9381, 36764, 24401, 15844, 8717, 995, 4587, 9381, 36764, 24401, 36916, 8961, 8717, 995, 4587, 9381, 8961, 5551, 10859, 3794, 297, 8717, 995, 4587, 9381, 36764, 24401, 5296, 15042, 5551, 36520, 5296, 3615, 41260, 2423, 29837, 308, 297, 295, 8961, 15844, 297, 36916, 8978, 8717, 995, 4587, 9381, 8961, 5551, 10859, 3794, 297, 6024, 48506, 1975, 9778, 1211, 4587, 29538, 37893, 308, 8961, 29538, 2423, 39184, 34, 77], "avg_logprob": -0.32150422920614985, "compression_ratio": 2.0441176470588234, "no_speech_prob": 1.6689300537109375e-06, "words": [{"start": 3520.14, "end": 3520.6, "word": "بطبق", "probability": 0.7889404296875}, {"start": 3520.6, "end": 3520.8, "word": " عند", "probability": 0.8271484375}, {"start": 3520.8, "end": 3520.9, "word": " e", "probability": 0.1337890625}, {"start": 3520.9, "end": 3521.04, "word": " of", "probability": 0.271728515625}, {"start": 3521.04, "end": 3521.3, "word": " 0", "probability": 0.76318359375}, {"start": 3521.3, "end": 3521.9, "word": " بساوي", "probability": 0.474090576171875}, {"start": 3521.9, "end": 3522.08, "word": " e", "probability": 0.62548828125}, {"start": 3522.08, "end": 3522.2, "word": " of", "probability": 0.91552734375}, {"start": 3522.2, "end": 3522.38, "word": " alpha", "probability": 0.464111328125}, {"start": 3522.38, "end": 3522.66, "word": " زائد", "probability": 0.578857421875}, {"start": 3522.66, "end": 3522.8, "word": " e", "probability": 0.697265625}, {"start": 3522.8, "end": 3523.0, "word": " prime", "probability": 0.70947265625}, {"start": 3523.0, "end": 3523.12, "word": " of", "probability": 0.94677734375}, {"start": 3523.12, "end": 3523.34, "word": " alpha", "probability": 0.8212890625}, {"start": 3523.34, "end": 3523.54, "word": " على", "probability": 0.49560546875}, {"start": 3523.54, "end": 3523.76, "word": " واحد", "probability": 0.6500244140625}, {"start": 3523.76, "end": 3524.18, "word": " factorial", "probability": 0.6123046875}, {"start": 3524.18, "end": 3524.34, "word": " في", "probability": 0.426513671875}, {"start": 3524.34, "end": 3524.66, "word": " ناقص", "probability": 0.9171142578125}, {"start": 3524.66, "end": 3524.98, "word": " alpha", "probability": 0.6494140625}, {"start": 3524.98, "end": 3525.5, "word": " اللي", "probability": 0.5133056640625}, {"start": 3525.5, "end": 3525.62, "word": " هي", "probability": 0.9091796875}, {"start": 3525.62, "end": 3525.84, "word": " zero", "probability": 0.4912109375}, {"start": 3525.84, "end": 3526.14, "word": " ناقص", "probability": 0.9915771484375}, {"start": 3526.14, "end": 3526.34, "word": " alpha", "probability": 0.775390625}, {"start": 3526.34, "end": 3526.74, "word": " زائد", "probability": 0.93798828125}, {"start": 3526.74, "end": 3526.88, "word": " e", "probability": 0.364990234375}, {"start": 3526.88, "end": 3527.02, "word": " n", "probability": 0.344482421875}, {"start": 3527.02, "end": 3527.28, "word": " ناقص", "probability": 0.980712890625}, {"start": 3527.28, "end": 3527.64, "word": " واحد", "probability": 0.9814453125}, {"start": 3527.64, "end": 3528.1, "word": " على", "probability": 0.78955078125}, {"start": 3528.1, "end": 3528.48, "word": " ناقص", "probability": 0.9793701171875}, {"start": 3528.48, "end": 3528.68, "word": " واحد", "probability": 0.99169921875}, {"start": 3528.68, "end": 3529.1, "word": " factorial", "probability": 0.7451171875}, {"start": 3529.1, "end": 3529.58, "word": " alpha", "probability": 0.6416015625}, {"start": 3529.58, "end": 3530.38, "word": " ناقص", "probability": 0.985595703125}, {"start": 3530.38, "end": 3530.6, "word": " alpha", "probability": 0.5771484375}, {"start": 3530.6, "end": 3530.78, "word": " أُس", "probability": 0.6495768229166666}, {"start": 3530.78, "end": 3530.9, "word": " n", "probability": 0.76220703125}, {"start": 3530.9, "end": 3531.12, "word": " ناقص", "probability": 0.987060546875}, {"start": 3531.12, "end": 3531.54, "word": " واحد", "probability": 0.98046875}, {"start": 3531.54, "end": 3532.18, "word": " لما", "probability": 0.921142578125}, {"start": 3532.18, "end": 3532.5, "word": " أصل", "probability": 0.92822265625}, {"start": 3532.5, "end": 3532.8, "word": " لعند", "probability": 0.7474772135416666}, {"start": 3532.8, "end": 3532.94, "word": " ال", "probability": 0.91162109375}, {"start": 3532.94, "end": 3533.3, "word": " remainder", "probability": 0.82568359375}, {"start": 3533.3, "end": 3533.56, "word": " e", "probability": 0.77001953125}, {"start": 3533.56, "end": 3533.72, "word": " n", "probability": 0.873046875}, {"start": 3533.72, "end": 3533.86, "word": " of", "probability": 0.90576171875}, {"start": 3533.86, "end": 3534.16, "word": " alpha", "probability": 0.91748046875}, {"start": 3534.16, "end": 3534.4, "word": " على", "probability": 0.8583984375}, {"start": 3534.4, "end": 3534.62, "word": " n", "probability": 0.72216796875}, {"start": 3534.62, "end": 3535.14, "word": " factorial", "probability": 0.76220703125}, {"start": 3535.14, "end": 3535.54, "word": " في", "probability": 0.466064453125}, {"start": 3535.54, "end": 3535.86, "word": " ناقص", "probability": 0.9967041015625}, {"start": 3535.86, "end": 3536.28, "word": " alpha", "probability": 0.76318359375}, {"start": 3536.28, "end": 3537.38, "word": " أُس", "probability": 0.9689127604166666}, {"start": 3537.38, "end": 3537.8, "word": " n", "probability": 0.951171875}, {"start": 3537.8, "end": 3539.14, "word": " الآن", "probability": 0.60400390625}, {"start": 3539.14, "end": 3539.74, "word": " اخلق", "probability": 0.594696044921875}, {"start": 3539.74, "end": 3540.06, "word": " هذه", "probability": 0.87939453125}, {"start": 3540.06, "end": 3541.1, "word": " مش", "probability": 0.86328125}, {"start": 3541.1, "end": 3541.36, "word": " e", "probability": 0.78125}, {"start": 3541.36, "end": 3542.3, "word": " alpha", "probability": 0.46875}, {"start": 3542.3, "end": 3542.56, "word": " هذه", "probability": 0.410888671875}, {"start": 3542.56, "end": 3543.3, "word": " الـCn", "probability": 0.402923583984375}], "temperature": 1.0}, {"id": 160, "seek": 355763, "start": 3544.07, "end": 3557.63, "text": "هذه الـ C أنا مخربط بصيحة الله ماشي الحالة الان E of Zero طبيعي ايش يساوي واحد ماحنا عارفين ان خلاص عرضناها الدالة هذه E of Zero بتساوي واحد اتساوي واحد يساوي E of Zero و يساوي", "tokens": [3224, 24192, 2423, 39184, 383, 41850, 3714, 9778, 25513, 9566, 4724, 9381, 1829, 5016, 3660, 21984, 3714, 33599, 1829, 21542, 6027, 3660, 2423, 7649, 462, 295, 17182, 23032, 21292, 3615, 1829, 1975, 1829, 8592, 7251, 3794, 995, 45865, 36764, 24401, 19446, 5016, 8315, 6225, 9640, 5172, 9957, 16472, 16490, 1211, 33546, 6225, 43042, 8315, 11296, 32748, 6027, 3660, 29538, 462, 295, 17182, 39894, 3794, 995, 45865, 36764, 24401, 1975, 2655, 3794, 995, 45865, 36764, 24401, 7251, 3794, 995, 45865, 462, 295, 17182, 4032, 7251, 3794, 995, 45865], "avg_logprob": -0.34925426610491495, "compression_ratio": 1.826086956521739, "no_speech_prob": 3.337860107421875e-05, "words": [{"start": 3544.07, "end": 3544.45, "word": "هذه", "probability": 0.67626953125}, {"start": 3544.45, "end": 3544.55, "word": " الـ", "probability": 0.48577880859375}, {"start": 3544.55, "end": 3544.73, "word": " C", "probability": 0.3720703125}, {"start": 3544.73, "end": 3544.97, "word": " أنا", "probability": 0.237548828125}, {"start": 3544.97, "end": 3545.37, "word": " مخربط", "probability": 0.84814453125}, {"start": 3545.37, "end": 3545.63, "word": " بصيحة", "probability": 0.51826171875}, {"start": 3545.63, "end": 3545.77, "word": " الله", "probability": 0.41943359375}, {"start": 3545.77, "end": 3546.09, "word": " ماشي", "probability": 0.7245279947916666}, {"start": 3546.09, "end": 3546.85, "word": " الحالة", "probability": 0.69189453125}, {"start": 3546.85, "end": 3547.39, "word": " الان", "probability": 0.6192626953125}, {"start": 3547.39, "end": 3548.21, "word": " E", "probability": 0.85205078125}, {"start": 3548.21, "end": 3548.61, "word": " of", "probability": 0.80419921875}, {"start": 3548.61, "end": 3549.21, "word": " Zero", "probability": 0.5283203125}, {"start": 3549.21, "end": 3550.21, "word": " طبيعي", "probability": 0.9559326171875}, {"start": 3550.21, "end": 3550.39, "word": " ايش", "probability": 0.6659342447916666}, {"start": 3550.39, "end": 3550.87, "word": " يساوي", "probability": 0.9102783203125}, {"start": 3550.87, "end": 3551.43, "word": " واحد", "probability": 0.77587890625}, {"start": 3551.43, "end": 3551.65, "word": " ماحنا", "probability": 0.6271158854166666}, {"start": 3551.65, "end": 3551.97, "word": " عارفين", "probability": 0.9854736328125}, {"start": 3551.97, "end": 3552.05, "word": " ان", "probability": 0.52685546875}, {"start": 3552.05, "end": 3552.37, "word": " خلاص", "probability": 0.8758138020833334}, {"start": 3552.37, "end": 3553.25, "word": " عرضناها", "probability": 0.895751953125}, {"start": 3553.25, "end": 3553.63, "word": " الدالة", "probability": 0.7872721354166666}, {"start": 3553.63, "end": 3553.85, "word": " هذه", "probability": 0.367919921875}, {"start": 3553.85, "end": 3554.05, "word": " E", "probability": 0.94482421875}, {"start": 3554.05, "end": 3554.21, "word": " of", "probability": 0.9228515625}, {"start": 3554.21, "end": 3554.51, "word": " Zero", "probability": 0.90234375}, {"start": 3554.51, "end": 3555.01, "word": " بتساوي", "probability": 0.822998046875}, {"start": 3555.01, "end": 3555.11, "word": " واحد", "probability": 0.89404296875}, {"start": 3555.11, "end": 3555.67, "word": " اتساوي", "probability": 0.5273681640625}, {"start": 3555.67, "end": 3555.83, "word": " واحد", "probability": 0.968505859375}, {"start": 3555.83, "end": 3556.13, "word": " يساوي", "probability": 0.81134033203125}, {"start": 3556.13, "end": 3556.29, "word": " E", "probability": 0.95068359375}, {"start": 3556.29, "end": 3556.35, "word": " of", "probability": 0.92578125}, {"start": 3556.35, "end": 3556.63, "word": " Zero", "probability": 0.9580078125}, {"start": 3556.63, "end": 3557.21, "word": " و", "probability": 0.89794921875}, {"start": 3557.21, "end": 3557.63, "word": " يساوي", "probability": 0.78302001953125}], "temperature": 1.0}, {"id": 161, "seek": 358620, "start": 3560.06, "end": 3586.2, "text": "الأن E of Alpha فرضناها إيش بالساوية سفر هيك مفترضينها E prime of Alpha اللي هي نفس E of Alpha إذا سفر برضه وهذا نفس الشيء إذا كلنا دول أصفر مع دمين الأخيرة إذا هتساوي E of Cn على N factorial ناقص Alpha أسعى وزي ما قلنا إنه احنا الآن هذا المقدار عندي صار .. نوضح لكم هذه", "tokens": [6027, 33456, 462, 295, 20588, 6156, 43042, 8315, 11296, 11933, 1829, 8592, 20666, 3794, 995, 2407, 10632, 8608, 5172, 2288, 39896, 4117, 3714, 5172, 2655, 43042, 9957, 11296, 462, 5835, 295, 20588, 13672, 1829, 39896, 8717, 36178, 462, 295, 20588, 11933, 15730, 8608, 5172, 2288, 4724, 43042, 3224, 37037, 15730, 8717, 36178, 25124, 1829, 38207, 11933, 15730, 28242, 8315, 11778, 12610, 5551, 9381, 5172, 2288, 20449, 11778, 2304, 9957, 16247, 9778, 48923, 11933, 15730, 8032, 2655, 3794, 995, 45865, 462, 295, 383, 77, 15844, 426, 36916, 8717, 995, 4587, 9381, 20588, 5551, 3794, 3615, 7578, 4032, 11622, 1829, 19446, 12174, 1211, 8315, 36145, 3224, 1975, 5016, 8315, 6024, 48506, 23758, 9673, 28543, 9640, 18871, 16254, 20328, 9640, 4386, 8717, 2407, 11242, 5016, 5296, 24793, 29538], "avg_logprob": -0.2765377007779621, "compression_ratio": 1.6744186046511629, "no_speech_prob": 1.6689300537109375e-06, "words": [{"start": 3560.0600000000004, "end": 3560.8, "word": "الأن", "probability": 0.62548828125}, {"start": 3560.8, "end": 3561.54, "word": " E", "probability": 0.4384765625}, {"start": 3561.54, "end": 3561.7, "word": " of", "probability": 0.3837890625}, {"start": 3561.7, "end": 3561.9, "word": " Alpha", "probability": 0.416259765625}, {"start": 3561.9, "end": 3562.42, "word": " فرضناها", "probability": 0.8411865234375}, {"start": 3562.42, "end": 3562.5, "word": " إيش", "probability": 0.7052815755208334}, {"start": 3562.5, "end": 3562.92, "word": " بالساوية", "probability": 0.8732421875}, {"start": 3562.92, "end": 3563.2, "word": " سفر", "probability": 0.647705078125}, {"start": 3563.2, "end": 3563.4, "word": " هيك", "probability": 0.775634765625}, {"start": 3563.4, "end": 3564.02, "word": " مفترضينها", "probability": 0.9420572916666666}, {"start": 3564.02, "end": 3564.8, "word": " E", "probability": 0.85205078125}, {"start": 3564.8, "end": 3565.18, "word": " prime", "probability": 0.5732421875}, {"start": 3565.18, "end": 3565.36, "word": " of", "probability": 0.98193359375}, {"start": 3565.36, "end": 3565.78, "word": " Alpha", "probability": 0.65185546875}, {"start": 3565.78, "end": 3566.84, "word": " اللي", "probability": 0.853759765625}, {"start": 3566.84, "end": 3567.1, "word": " هي", "probability": 0.9365234375}, {"start": 3567.1, "end": 3567.58, "word": " نفس", "probability": 0.9951171875}, {"start": 3567.58, "end": 3567.78, "word": " E", "probability": 0.8701171875}, {"start": 3567.78, "end": 3567.96, "word": " of", "probability": 0.94677734375}, {"start": 3567.96, "end": 3568.28, "word": " Alpha", "probability": 0.95361328125}, {"start": 3568.28, "end": 3569.2, "word": " إذا", "probability": 0.77099609375}, {"start": 3569.2, "end": 3569.56, "word": " سفر", "probability": 0.8133138020833334}, {"start": 3569.56, "end": 3569.92, "word": " برضه", "probability": 0.9816080729166666}, {"start": 3569.92, "end": 3571.08, "word": " وهذا", "probability": 0.501953125}, {"start": 3571.08, "end": 3571.32, "word": " نفس", "probability": 0.993896484375}, {"start": 3571.32, "end": 3571.62, "word": " الشيء", "probability": 0.9318033854166666}, {"start": 3571.62, "end": 3571.78, "word": " إذا", "probability": 0.866943359375}, {"start": 3571.78, "end": 3572.2, "word": " كلنا", "probability": 0.59576416015625}, {"start": 3572.2, "end": 3572.38, "word": " دول", "probability": 0.878173828125}, {"start": 3572.38, "end": 3572.74, "word": " أصفر", "probability": 0.7340087890625}, {"start": 3572.74, "end": 3572.88, "word": " مع", "probability": 0.9912109375}, {"start": 3572.88, "end": 3573.26, "word": " دمين", "probability": 0.794921875}, {"start": 3573.26, "end": 3573.84, "word": " الأخيرة", "probability": 0.8603515625}, {"start": 3573.84, "end": 3574.08, "word": " إذا", "probability": 0.943359375}, {"start": 3574.08, "end": 3574.62, "word": " هتساوي", "probability": 0.8599609375}, {"start": 3574.62, "end": 3574.9, "word": " E", "probability": 0.93017578125}, {"start": 3574.9, "end": 3575.06, "word": " of", "probability": 0.9248046875}, {"start": 3575.06, "end": 3575.4, "word": " Cn", "probability": 0.4412841796875}, {"start": 3575.4, "end": 3575.56, "word": " على", "probability": 0.6953125}, {"start": 3575.56, "end": 3575.7, "word": " N", "probability": 0.64111328125}, {"start": 3575.7, "end": 3576.1, "word": " factorial", "probability": 0.22509765625}, {"start": 3576.1, "end": 3577.54, "word": " ناقص", "probability": 0.828857421875}, {"start": 3577.54, "end": 3577.94, "word": " Alpha", "probability": 0.7919921875}, {"start": 3577.94, "end": 3578.74, "word": " أسعى", "probability": 0.660980224609375}, {"start": 3578.74, "end": 3579.58, "word": " وزي", "probability": 0.9358723958333334}, {"start": 3579.58, "end": 3579.7, "word": " ما", "probability": 0.97705078125}, {"start": 3579.7, "end": 3580.22, "word": " قلنا", "probability": 0.96044921875}, {"start": 3580.22, "end": 3580.72, "word": " إنه", "probability": 0.424560546875}, {"start": 3580.72, "end": 3581.0, "word": " احنا", "probability": 0.8401692708333334}, {"start": 3581.0, "end": 3581.48, "word": " الآن", "probability": 0.7978515625}, {"start": 3581.48, "end": 3582.34, "word": " هذا", "probability": 0.91357421875}, {"start": 3582.34, "end": 3583.16, "word": " المقدار", "probability": 0.9796549479166666}, {"start": 3583.16, "end": 3583.94, "word": " عندي", "probability": 0.760986328125}, {"start": 3583.94, "end": 3584.78, "word": " صار", "probability": 0.9619140625}, {"start": 3584.78, "end": 3585.08, "word": " ..", "probability": 0.42431640625}, {"start": 3585.08, "end": 3585.58, "word": " نوضح", "probability": 0.8616943359375}, {"start": 3585.58, "end": 3585.86, "word": " لكم", "probability": 0.775634765625}, {"start": 3585.86, "end": 3586.2, "word": " هذه", "probability": 0.615234375}], "temperature": 1.0}, {"id": 162, "seek": 361317, "start": 3587.15, "end": 3613.17, "text": "نشوف كيف نصل لـ contradiction هال gate صار عند مايا ليه يا جماعة صارت عند الواحد هذه اللي بيساوي E to the zero بيساوي E to the zero اللي هي أصغر أو يساوي ال absolute value لهذه بيساويها بعد إنه أصغر أو يساوي بيساوي ال absolute value E of CL على N factorial", "tokens": [1863, 8592, 38688, 9122, 33911, 8717, 36520, 5296, 39184, 34937, 8032, 6027, 8539, 20328, 9640, 43242, 19446, 25528, 32239, 3224, 35186, 10874, 15042, 27884, 20328, 9640, 2655, 43242, 2423, 14407, 24401, 29538, 13672, 1829, 4724, 1829, 3794, 995, 45865, 462, 281, 264, 4018, 4724, 1829, 3794, 995, 45865, 462, 281, 264, 4018, 13672, 1829, 39896, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 2423, 8236, 2158, 46740, 24192, 4724, 1829, 3794, 995, 45865, 11296, 39182, 36145, 3224, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 4724, 1829, 3794, 995, 45865, 2423, 8236, 2158, 462, 295, 12855, 15844, 426, 36916], "avg_logprob": -0.2412683759249893, "compression_ratio": 1.819047619047619, "no_speech_prob": 5.841255187988281e-06, "words": [{"start": 3587.15, "end": 3587.55, "word": "نشوف", "probability": 0.700439453125}, {"start": 3587.55, "end": 3587.73, "word": " كيف", "probability": 0.982666015625}, {"start": 3587.73, "end": 3588.13, "word": " نصل", "probability": 0.919677734375}, {"start": 3588.13, "end": 3588.39, "word": " لـ", "probability": 0.630859375}, {"start": 3588.39, "end": 3589.11, "word": " contradiction", "probability": 0.463623046875}, {"start": 3589.11, "end": 3590.01, "word": " هال", "probability": 0.6334228515625}, {"start": 3590.01, "end": 3590.17, "word": " gate", "probability": 0.2041015625}, {"start": 3590.17, "end": 3590.47, "word": " صار", "probability": 0.9580078125}, {"start": 3590.47, "end": 3590.73, "word": " عند", "probability": 0.93994140625}, {"start": 3590.73, "end": 3592.95, "word": " مايا", "probability": 0.38775634765625}, {"start": 3592.95, "end": 3593.19, "word": " ليه", "probability": 0.87158203125}, {"start": 3593.19, "end": 3593.29, "word": " يا", "probability": 0.96826171875}, {"start": 3593.29, "end": 3593.77, "word": " جماعة", "probability": 0.9947916666666666}, {"start": 3593.77, "end": 3594.57, "word": " صارت", "probability": 0.7849934895833334}, {"start": 3594.57, "end": 3594.79, "word": " عند", "probability": 0.9287109375}, {"start": 3594.79, "end": 3595.31, "word": " الواحد", "probability": 0.9656575520833334}, {"start": 3595.31, "end": 3595.63, "word": " هذه", "probability": 0.454345703125}, {"start": 3595.63, "end": 3595.79, "word": " اللي", "probability": 0.80810546875}, {"start": 3595.79, "end": 3596.27, "word": " بيساوي", "probability": 0.712744140625}, {"start": 3596.27, "end": 3596.49, "word": " E", "probability": 0.5419921875}, {"start": 3596.49, "end": 3596.61, "word": " to", "probability": 0.701171875}, {"start": 3596.61, "end": 3596.79, "word": " the", "probability": 0.88916015625}, {"start": 3596.79, "end": 3597.19, "word": " zero", "probability": 0.54150390625}, {"start": 3597.19, "end": 3597.97, "word": " بيساوي", "probability": 0.84462890625}, {"start": 3597.97, "end": 3598.13, "word": " E", "probability": 0.98046875}, {"start": 3598.13, "end": 3598.21, "word": " to", "probability": 0.97412109375}, {"start": 3598.21, "end": 3598.39, "word": " the", "probability": 0.9384765625}, {"start": 3598.39, "end": 3598.77, "word": " zero", "probability": 0.853515625}, {"start": 3598.77, "end": 3599.75, "word": " اللي", "probability": 0.9384765625}, {"start": 3599.75, "end": 3599.93, "word": " هي", "probability": 0.78955078125}, {"start": 3599.93, "end": 3600.51, "word": " أصغر", "probability": 0.961669921875}, {"start": 3600.51, "end": 3600.69, "word": " أو", "probability": 0.83251953125}, {"start": 3600.69, "end": 3601.35, "word": " يساوي", "probability": 0.9853515625}, {"start": 3601.35, "end": 3603.63, "word": " ال", "probability": 0.90966796875}, {"start": 3603.63, "end": 3604.05, "word": " absolute", "probability": 0.888671875}, {"start": 3604.05, "end": 3604.49, "word": " value", "probability": 0.9931640625}, {"start": 3604.49, "end": 3604.89, "word": " لهذه", "probability": 0.55029296875}, {"start": 3604.89, "end": 3605.61, "word": " بيساويها", "probability": 0.9388834635416666}, {"start": 3605.61, "end": 3606.63, "word": " بعد", "probability": 0.371826171875}, {"start": 3606.63, "end": 3606.89, "word": " إنه", "probability": 0.4443359375}, {"start": 3606.89, "end": 3607.15, "word": " أصغر", "probability": 0.98388671875}, {"start": 3607.15, "end": 3607.25, "word": " أو", "probability": 0.94970703125}, {"start": 3607.25, "end": 3607.51, "word": " يساوي", "probability": 0.9781494140625}, {"start": 3607.51, "end": 3607.99, "word": " بيساوي", "probability": 0.88388671875}, {"start": 3607.99, "end": 3608.09, "word": " ال", "probability": 0.58984375}, {"start": 3608.09, "end": 3608.35, "word": " absolute", "probability": 0.95263671875}, {"start": 3608.35, "end": 3608.89, "word": " value", "probability": 0.98388671875}, {"start": 3608.89, "end": 3609.91, "word": " E", "probability": 0.90380859375}, {"start": 3609.91, "end": 3611.05, "word": " of", "probability": 0.9140625}, {"start": 3611.05, "end": 3611.49, "word": " CL", "probability": 0.397705078125}, {"start": 3611.49, "end": 3612.49, "word": " على", "probability": 0.833984375}, {"start": 3612.49, "end": 3612.67, "word": " N", "probability": 0.5322265625}, {"start": 3612.67, "end": 3613.17, "word": " factorial", "probability": 0.71337890625}], "temperature": 1.0}, {"id": 163, "seek": 363644, "start": 3614.12, "end": 3636.44, "text": "في absolute value ناقص Alpha أُس N و هذه زي ما قلنا E of C N إيش ما اللي قلنا قبل بشوية هذه أصغر أوي و ساوي K إذا K على N factorial في ناقص Alpha أُس N ماشي الآن هذا المقدار", "tokens": [41185, 8236, 2158, 8717, 995, 4587, 9381, 20588, 5551, 10859, 3794, 426, 4032, 29538, 30767, 1829, 19446, 12174, 1211, 8315, 462, 295, 383, 426, 11933, 1829, 8592, 19446, 13672, 1829, 12174, 1211, 8315, 12174, 36150, 4724, 8592, 2407, 10632, 29538, 5551, 9381, 17082, 2288, 34051, 1829, 4032, 8608, 995, 45865, 591, 11933, 15730, 591, 15844, 426, 36916, 8978, 8717, 995, 4587, 9381, 20588, 5551, 10859, 3794, 426, 3714, 33599, 1829, 6024, 48506, 23758, 9673, 28543, 9640], "avg_logprob": -0.3607954607381449, "compression_ratio": 1.461111111111111, "no_speech_prob": 3.916025161743164e-05, "words": [{"start": 3614.12, "end": 3614.42, "word": "في", "probability": 0.55419921875}, {"start": 3614.42, "end": 3615.02, "word": " absolute", "probability": 0.73046875}, {"start": 3615.02, "end": 3615.36, "word": " value", "probability": 0.97998046875}, {"start": 3615.36, "end": 3615.76, "word": " ناقص", "probability": 0.7374267578125}, {"start": 3615.76, "end": 3616.12, "word": " Alpha", "probability": 0.381103515625}, {"start": 3616.12, "end": 3617.16, "word": " أُس", "probability": 0.6416829427083334}, {"start": 3617.16, "end": 3617.42, "word": " N", "probability": 0.81396484375}, {"start": 3617.42, "end": 3619.08, "word": " و", "probability": 0.40869140625}, {"start": 3619.08, "end": 3621.42, "word": " هذه", "probability": 0.361572265625}, {"start": 3621.42, "end": 3621.66, "word": " زي", "probability": 0.6162109375}, {"start": 3621.66, "end": 3621.74, "word": " ما", "probability": 0.951171875}, {"start": 3621.74, "end": 3622.14, "word": " قلنا", "probability": 0.8365885416666666}, {"start": 3622.14, "end": 3622.32, "word": " E", "probability": 0.92333984375}, {"start": 3622.32, "end": 3622.48, "word": " of", "probability": 0.87646484375}, {"start": 3622.48, "end": 3622.64, "word": " C", "probability": 0.490966796875}, {"start": 3622.64, "end": 3622.78, "word": " N", "probability": 0.3466796875}, {"start": 3622.78, "end": 3623.0, "word": " إيش", "probability": 0.5812174479166666}, {"start": 3623.0, "end": 3623.14, "word": " ما", "probability": 0.490966796875}, {"start": 3623.14, "end": 3623.28, "word": " اللي", "probability": 0.703857421875}, {"start": 3623.28, "end": 3623.54, "word": " قلنا", "probability": 0.749267578125}, {"start": 3623.54, "end": 3623.74, "word": " قبل", "probability": 0.7685546875}, {"start": 3623.74, "end": 3624.28, "word": " بشوية", "probability": 0.74688720703125}, {"start": 3624.28, "end": 3625.04, "word": " هذه", "probability": 0.66064453125}, {"start": 3625.04, "end": 3625.54, "word": " أصغر", "probability": 0.9703369140625}, {"start": 3625.54, "end": 3625.86, "word": " أوي", "probability": 0.835693359375}, {"start": 3625.86, "end": 3625.88, "word": " و", "probability": 0.38818359375}, {"start": 3625.88, "end": 3626.16, "word": " ساوي", "probability": 0.7046712239583334}, {"start": 3626.16, "end": 3626.52, "word": " K", "probability": 0.83642578125}, {"start": 3626.52, "end": 3626.98, "word": " إذا", "probability": 0.4359130859375}, {"start": 3626.98, "end": 3627.5, "word": " K", "probability": 0.58349609375}, {"start": 3627.5, "end": 3628.5, "word": " على", "probability": 0.84912109375}, {"start": 3628.5, "end": 3629.54, "word": " N", "probability": 0.7802734375}, {"start": 3629.54, "end": 3630.24, "word": " factorial", "probability": 0.451171875}, {"start": 3630.24, "end": 3631.08, "word": " في", "probability": 0.68115234375}, {"start": 3631.08, "end": 3631.5, "word": " ناقص", "probability": 0.990478515625}, {"start": 3631.5, "end": 3631.94, "word": " Alpha", "probability": 0.92578125}, {"start": 3631.94, "end": 3632.7, "word": " أُس", "probability": 0.9300130208333334}, {"start": 3632.7, "end": 3632.96, "word": " N", "probability": 0.98291015625}, {"start": 3632.96, "end": 3633.7, "word": " ماشي", "probability": 0.7831217447916666}, {"start": 3633.7, "end": 3634.98, "word": " الآن", "probability": 0.59124755859375}, {"start": 3634.98, "end": 3635.42, "word": " هذا", "probability": 0.92822265625}, {"start": 3635.42, "end": 3636.44, "word": " المقدار", "probability": 0.9593098958333334}], "temperature": 1.0}, {"id": 164, "seek": 365917, "start": 3637.03, "end": 3659.17, "text": "as n goes to infinity بيروح لـ0 هذا independent of n و هذا independent of n صار عندى الان هذا الان هي الواحد أصغر أو يساوي اللي هو هذا المقدار خد ال limit as n goes to infinity بيصير الواحد أصغر أو يساوي سفر و هذا إيش ماله contradiction", "tokens": [296, 297, 1709, 281, 13202, 4724, 1829, 32887, 5016, 5296, 39184, 15, 23758, 6695, 295, 297, 4032, 23758, 6695, 295, 297, 20328, 9640, 43242, 7578, 2423, 7649, 23758, 2423, 7649, 39896, 2423, 14407, 24401, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 13672, 1829, 31439, 23758, 9673, 28543, 9640, 16490, 3215, 2423, 4948, 382, 297, 1709, 281, 13202, 4724, 1829, 9381, 13546, 2423, 14407, 24401, 5551, 9381, 17082, 2288, 34051, 7251, 3794, 995, 45865, 8608, 5172, 2288, 4032, 23758, 11933, 1829, 8592, 3714, 6027, 3224, 34937], "avg_logprob": -0.2736150707033547, "compression_ratio": 1.8641304347826086, "no_speech_prob": 1.6689300537109375e-06, "words": [{"start": 3637.03, "end": 3637.45, "word": "as", "probability": 0.25146484375}, {"start": 3637.45, "end": 3637.65, "word": " n", "probability": 0.7919921875}, {"start": 3637.65, "end": 3637.95, "word": " goes", "probability": 0.72021484375}, {"start": 3637.95, "end": 3638.09, "word": " to", "probability": 0.92822265625}, {"start": 3638.09, "end": 3638.43, "word": " infinity", "probability": 0.90185546875}, {"start": 3638.43, "end": 3638.71, "word": " بيروح", "probability": 0.5909423828125}, {"start": 3638.71, "end": 3639.59, "word": " لـ0", "probability": 0.3872884114583333}, {"start": 3639.59, "end": 3640.19, "word": " هذا", "probability": 0.1865234375}, {"start": 3640.19, "end": 3640.69, "word": " independent", "probability": 0.80615234375}, {"start": 3640.69, "end": 3641.15, "word": " of", "probability": 0.94140625}, {"start": 3641.15, "end": 3641.59, "word": " n", "probability": 0.5419921875}, {"start": 3641.59, "end": 3641.69, "word": " و", "probability": 0.53271484375}, {"start": 3641.69, "end": 3641.87, "word": " هذا", "probability": 0.7265625}, {"start": 3641.87, "end": 3642.23, "word": " independent", "probability": 0.92041015625}, {"start": 3642.23, "end": 3642.63, "word": " of", "probability": 0.9755859375}, {"start": 3642.63, "end": 3642.91, "word": " n", "probability": 0.9248046875}, {"start": 3642.91, "end": 3643.41, "word": " صار", "probability": 0.867431640625}, {"start": 3643.41, "end": 3643.79, "word": " عندى", "probability": 0.632080078125}, {"start": 3643.79, "end": 3644.25, "word": " الان", "probability": 0.35107421875}, {"start": 3644.25, "end": 3645.31, "word": " هذا", "probability": 0.779296875}, {"start": 3645.31, "end": 3645.73, "word": " الان", "probability": 0.926025390625}, {"start": 3645.73, "end": 3645.99, "word": " هي", "probability": 0.6181640625}, {"start": 3645.99, "end": 3646.75, "word": " الواحد", "probability": 0.9469401041666666}, {"start": 3646.75, "end": 3647.91, "word": " أصغر", "probability": 0.9293212890625}, {"start": 3647.91, "end": 3648.05, "word": " أو", "probability": 0.92626953125}, {"start": 3648.05, "end": 3648.65, "word": " يساوي", "probability": 0.9644775390625}, {"start": 3648.65, "end": 3649.03, "word": " اللي", "probability": 0.443115234375}, {"start": 3649.03, "end": 3649.21, "word": " هو", "probability": 0.91259765625}, {"start": 3649.21, "end": 3649.47, "word": " هذا", "probability": 0.94384765625}, {"start": 3649.47, "end": 3650.23, "word": " المقدار", "probability": 0.9755859375}, {"start": 3650.23, "end": 3652.13, "word": " خد", "probability": 0.7490234375}, {"start": 3652.13, "end": 3652.27, "word": " ال", "probability": 0.76806640625}, {"start": 3652.27, "end": 3652.55, "word": " limit", "probability": 0.92041015625}, {"start": 3652.55, "end": 3652.81, "word": " as", "probability": 0.9736328125}, {"start": 3652.81, "end": 3653.01, "word": " n", "probability": 0.96728515625}, {"start": 3653.01, "end": 3653.23, "word": " goes", "probability": 0.94921875}, {"start": 3653.23, "end": 3653.39, "word": " to", "probability": 0.94873046875}, {"start": 3653.39, "end": 3653.79, "word": " infinity", "probability": 0.90380859375}, {"start": 3653.79, "end": 3654.31, "word": " بيصير", "probability": 0.9102783203125}, {"start": 3654.31, "end": 3654.89, "word": " الواحد", "probability": 0.97802734375}, {"start": 3654.89, "end": 3655.37, "word": " أصغر", "probability": 0.9617919921875}, {"start": 3655.37, "end": 3655.51, "word": " أو", "probability": 0.92041015625}, {"start": 3655.51, "end": 3655.81, "word": " يساوي", "probability": 0.97412109375}, {"start": 3655.81, "end": 3656.31, "word": " سفر", "probability": 0.7762858072916666}, {"start": 3656.31, "end": 3656.87, "word": " و", "probability": 0.51123046875}, {"start": 3656.87, "end": 3657.17, "word": " هذا", "probability": 0.87548828125}, {"start": 3657.17, "end": 3657.43, "word": " إيش", "probability": 0.6656087239583334}, {"start": 3657.43, "end": 3657.99, "word": " ماله", "probability": 0.85498046875}, {"start": 3657.99, "end": 3659.17, "word": " contradiction", "probability": 0.6962890625}], "temperature": 1.0}, {"id": 165, "seek": 368503, "start": 3660.19, "end": 3685.03, "text": "إذا صار في عندي الفرضية الأولى خاطئة إذا there is no such Alpha اللي هو بتكون عندها ال K of Alpha بتساوي سفر إذا ال K of Alpha بتساوي أكبر لا تساوي سفر دائما إذا صار عندي اللي هو قيمة اللي هي E to the X لا تساوي سفر أبدا نيجي الآن إن بدنا نثبت أنه", "tokens": [28814, 15730, 20328, 9640, 8978, 18871, 16254, 27188, 43042, 10632, 16247, 12610, 7578, 16490, 41193, 19986, 3660, 11933, 15730, 456, 307, 572, 1270, 20588, 13672, 1829, 31439, 39894, 30544, 43242, 11296, 2423, 591, 295, 20588, 39894, 3794, 995, 45865, 8608, 5172, 2288, 11933, 15730, 2423, 591, 295, 20588, 39894, 3794, 995, 45865, 5551, 4117, 26890, 20193, 6055, 3794, 995, 45865, 8608, 5172, 2288, 11778, 16373, 15042, 11933, 15730, 20328, 9640, 18871, 16254, 13672, 1829, 31439, 12174, 32640, 3660, 13672, 1829, 39896, 462, 281, 264, 1783, 20193, 6055, 3794, 995, 45865, 8608, 5172, 2288, 5551, 3555, 28259, 8717, 1829, 7435, 1829, 6024, 48506, 36145, 47525, 8315, 8717, 12984, 3555, 2655, 14739, 3224], "avg_logprob": -0.2483258851404701, "compression_ratio": 1.9043062200956937, "no_speech_prob": 3.2782554626464844e-06, "words": [{"start": 3660.19, "end": 3660.61, "word": "إذا", "probability": 0.6221923828125}, {"start": 3660.61, "end": 3660.99, "word": " صار", "probability": 0.59088134765625}, {"start": 3660.99, "end": 3661.17, "word": " في", "probability": 0.62841796875}, {"start": 3661.17, "end": 3661.57, "word": " عندي", "probability": 0.7171630859375}, {"start": 3661.57, "end": 3662.71, "word": " الفرضية", "probability": 0.8067220052083334}, {"start": 3662.71, "end": 3663.25, "word": " الأولى", "probability": 0.8966471354166666}, {"start": 3663.25, "end": 3663.87, "word": " خاطئة", "probability": 0.982177734375}, {"start": 3663.87, "end": 3664.41, "word": " إذا", "probability": 0.654541015625}, {"start": 3664.41, "end": 3664.69, "word": " there", "probability": 0.625}, {"start": 3664.69, "end": 3664.93, "word": " is", "probability": 0.9658203125}, {"start": 3664.93, "end": 3665.29, "word": " no", "probability": 0.927734375}, {"start": 3665.29, "end": 3665.77, "word": " such", "probability": 0.93310546875}, {"start": 3665.77, "end": 3666.39, "word": " Alpha", "probability": 0.359375}, {"start": 3666.39, "end": 3667.29, "word": " اللي", "probability": 0.75390625}, {"start": 3667.29, "end": 3667.45, "word": " هو", "probability": 0.332275390625}, {"start": 3667.45, "end": 3667.77, "word": " بتكون", "probability": 0.805419921875}, {"start": 3667.77, "end": 3668.05, "word": " عندها", "probability": 0.735107421875}, {"start": 3668.05, "end": 3668.13, "word": " ال", "probability": 0.29052734375}, {"start": 3668.13, "end": 3668.23, "word": " K", "probability": 0.57275390625}, {"start": 3668.23, "end": 3668.35, "word": " of", "probability": 0.7451171875}, {"start": 3668.35, "end": 3668.55, "word": " Alpha", "probability": 0.88671875}, {"start": 3668.55, "end": 3668.89, "word": " بتساوي", "probability": 0.72686767578125}, {"start": 3668.89, "end": 3669.19, "word": " سفر", "probability": 0.7962239583333334}, {"start": 3669.19, "end": 3669.41, "word": " إذا", "probability": 0.6085205078125}, {"start": 3669.41, "end": 3669.59, "word": " ال", "probability": 0.345703125}, {"start": 3669.59, "end": 3669.79, "word": " K", "probability": 0.9375}, {"start": 3669.79, "end": 3670.01, "word": " of", "probability": 0.96728515625}, {"start": 3670.01, "end": 3670.53, "word": " Alpha", "probability": 0.95947265625}, {"start": 3670.53, "end": 3671.81, "word": " بتساوي", "probability": 0.8743896484375}, {"start": 3671.81, "end": 3672.19, "word": " أكبر", "probability": 0.8567708333333334}, {"start": 3672.19, "end": 3672.43, "word": " لا", "probability": 0.37646484375}, {"start": 3672.43, "end": 3672.87, "word": " تساوي", "probability": 0.9827880859375}, {"start": 3672.87, "end": 3673.27, "word": " سفر", "probability": 0.98095703125}, {"start": 3673.27, "end": 3674.13, "word": " دائما", "probability": 0.9314778645833334}, {"start": 3674.13, "end": 3675.05, "word": " إذا", "probability": 0.934326171875}, {"start": 3675.05, "end": 3675.35, "word": " صار", "probability": 0.90625}, {"start": 3675.35, "end": 3675.81, "word": " عندي", "probability": 0.78466796875}, {"start": 3675.81, "end": 3676.09, "word": " اللي", "probability": 0.799072265625}, {"start": 3676.09, "end": 3676.37, "word": " هو", "probability": 0.9853515625}, {"start": 3676.37, "end": 3677.07, "word": " قيمة", "probability": 0.994140625}, {"start": 3677.07, "end": 3677.31, "word": " اللي", "probability": 0.81298828125}, {"start": 3677.31, "end": 3677.51, "word": " هي", "probability": 0.90185546875}, {"start": 3677.51, "end": 3677.81, "word": " E", "probability": 0.418212890625}, {"start": 3677.81, "end": 3677.95, "word": " to", "probability": 0.8427734375}, {"start": 3677.95, "end": 3678.09, "word": " the", "probability": 0.76318359375}, {"start": 3678.09, "end": 3678.43, "word": " X", "probability": 0.95751953125}, {"start": 3678.43, "end": 3679.11, "word": " لا", "probability": 0.70703125}, {"start": 3679.11, "end": 3679.95, "word": " تساوي", "probability": 0.9786376953125}, {"start": 3679.95, "end": 3680.51, "word": " سفر", "probability": 0.9869791666666666}, {"start": 3680.51, "end": 3681.25, "word": " أبدا", "probability": 0.9166666666666666}, {"start": 3681.25, "end": 3682.15, "word": " نيجي", "probability": 0.898681640625}, {"start": 3682.15, "end": 3682.55, "word": " الآن", "probability": 0.7880859375}, {"start": 3682.55, "end": 3683.01, "word": " إن", "probability": 0.240966796875}, {"start": 3683.01, "end": 3683.31, "word": " بدنا", "probability": 0.94384765625}, {"start": 3683.31, "end": 3683.87, "word": " نثبت", "probability": 0.9964599609375}, {"start": 3683.87, "end": 3685.03, "word": " أنه", "probability": 0.7117919921875}], "temperature": 1.0}, {"id": 166, "seek": 371511, "start": 3685.75, "end": 3715.11, "text": "نثبت الخاصية اللي بعدها اللي هي عبارة عن E of X زائد Y بساوة E of X في E of Y لكل X و Y element in R هذه الخاصية اللي بدنا نثبتها شوف طريقته حلوة في الإثبات بيقول ليه نفترض Y fixed arbitrary لكن ليهاش fixed بنحكي عن Y محددة arbitrary لكن نحكي عن Y محددة", "tokens": [1863, 12984, 3555, 2655, 33962, 33546, 10632, 13672, 1829, 45030, 3215, 11296, 13672, 1829, 39896, 6225, 3555, 9640, 3660, 18871, 462, 295, 1783, 30767, 16373, 3215, 398, 4724, 3794, 995, 2407, 3660, 462, 295, 1783, 8978, 462, 295, 398, 5296, 28820, 1783, 4032, 398, 4478, 294, 497, 29538, 33962, 33546, 10632, 13672, 1829, 47525, 8315, 8717, 12984, 3555, 2655, 11296, 13412, 38688, 23032, 16572, 38149, 3224, 11331, 1211, 2407, 3660, 8978, 33688, 12984, 3555, 9307, 4724, 1829, 39648, 32239, 3224, 8717, 5172, 2655, 43042, 398, 6806, 23211, 44381, 32239, 3224, 33599, 6806, 44945, 5016, 4117, 1829, 18871, 398, 3714, 24401, 41891, 23211, 44381, 8717, 5016, 4117, 1829, 18871, 398, 3714, 24401, 41891], "avg_logprob": -0.17699115466227575, "compression_ratio": 1.7589285714285714, "no_speech_prob": 6.377696990966797e-06, "words": [{"start": 3685.75, "end": 3686.55, "word": "نثبت", "probability": 0.929443359375}, {"start": 3686.55, "end": 3687.61, "word": " الخاصية", "probability": 0.9275716145833334}, {"start": 3687.61, "end": 3687.75, "word": " اللي", "probability": 0.880859375}, {"start": 3687.75, "end": 3688.29, "word": " بعدها", "probability": 0.6774088541666666}, {"start": 3688.29, "end": 3689.11, "word": " اللي", "probability": 0.789794921875}, {"start": 3689.11, "end": 3689.35, "word": " هي", "probability": 0.88720703125}, {"start": 3689.35, "end": 3689.83, "word": " عبارة", "probability": 0.98974609375}, {"start": 3689.83, "end": 3690.13, "word": " عن", "probability": 0.994140625}, {"start": 3690.13, "end": 3690.61, "word": " E", "probability": 0.67529296875}, {"start": 3690.61, "end": 3691.99, "word": " of", "probability": 0.734375}, {"start": 3691.99, "end": 3692.61, "word": " X", "probability": 0.96533203125}, {"start": 3692.61, "end": 3693.81, "word": " زائد", "probability": 0.7596842447916666}, {"start": 3693.81, "end": 3694.19, "word": " Y", "probability": 0.984375}, {"start": 3694.19, "end": 3694.77, "word": " بساوة", "probability": 0.6830078125}, {"start": 3694.77, "end": 3694.97, "word": " E", "probability": 0.970703125}, {"start": 3694.97, "end": 3695.17, "word": " of", "probability": 0.93994140625}, {"start": 3695.17, "end": 3695.63, "word": " X", "probability": 0.9951171875}, {"start": 3695.63, "end": 3696.69, "word": " في", "probability": 0.5751953125}, {"start": 3696.69, "end": 3697.23, "word": " E", "probability": 0.73876953125}, {"start": 3697.23, "end": 3698.11, "word": " of", "probability": 0.951171875}, {"start": 3698.11, "end": 3698.43, "word": " Y", "probability": 0.99365234375}, {"start": 3698.43, "end": 3698.93, "word": " لكل", "probability": 0.9599609375}, {"start": 3698.93, "end": 3699.31, "word": " X", "probability": 0.70556640625}, {"start": 3699.31, "end": 3699.53, "word": " و", "probability": 0.8525390625}, {"start": 3699.53, "end": 3699.87, "word": " Y", "probability": 0.58154296875}, {"start": 3699.87, "end": 3700.71, "word": " element", "probability": 0.6240234375}, {"start": 3700.71, "end": 3701.01, "word": " in", "probability": 0.86474609375}, {"start": 3701.01, "end": 3701.17, "word": " R", "probability": 0.998046875}, {"start": 3701.17, "end": 3701.39, "word": " هذه", "probability": 0.457275390625}, {"start": 3701.39, "end": 3702.05, "word": " الخاصية", "probability": 0.9850260416666666}, {"start": 3702.05, "end": 3702.37, "word": " اللي", "probability": 0.9814453125}, {"start": 3702.37, "end": 3702.67, "word": " بدنا", "probability": 0.9443359375}, {"start": 3702.67, "end": 3703.23, "word": " نثبتها", "probability": 0.9880859375}, {"start": 3703.23, "end": 3703.73, "word": " شوف", "probability": 0.8857421875}, {"start": 3703.73, "end": 3704.13, "word": " طريقته", "probability": 0.937255859375}, {"start": 3704.13, "end": 3704.39, "word": " حلوة", "probability": 0.9652099609375}, {"start": 3704.39, "end": 3704.49, "word": " في", "probability": 0.9697265625}, {"start": 3704.49, "end": 3705.03, "word": " الإثبات", "probability": 0.9200439453125}, {"start": 3705.03, "end": 3707.11, "word": " بيقول", "probability": 0.64404296875}, {"start": 3707.11, "end": 3707.59, "word": " ليه", "probability": 0.6475830078125}, {"start": 3707.59, "end": 3708.41, "word": " نفترض", "probability": 0.856201171875}, {"start": 3708.41, "end": 3708.95, "word": " Y", "probability": 0.9775390625}, {"start": 3708.95, "end": 3709.71, "word": " fixed", "probability": 0.71484375}, {"start": 3709.71, "end": 3710.93, "word": " arbitrary", "probability": 0.175048828125}, {"start": 3710.93, "end": 3711.35, "word": " لكن", "probability": 0.8544921875}, {"start": 3711.35, "end": 3711.69, "word": " ليهاش", "probability": 0.6890462239583334}, {"start": 3711.69, "end": 3711.95, "word": " fixed", "probability": 0.9189453125}, {"start": 3711.95, "end": 3712.33, "word": " بنحكي", "probability": 0.85577392578125}, {"start": 3712.33, "end": 3712.47, "word": " عن", "probability": 0.978515625}, {"start": 3712.47, "end": 3712.61, "word": " Y", "probability": 0.97900390625}, {"start": 3712.61, "end": 3713.03, "word": " محددة", "probability": 0.9925130208333334}, {"start": 3713.03, "end": 3713.43, "word": " arbitrary", "probability": 0.76220703125}, {"start": 3713.43, "end": 3713.69, "word": " لكن", "probability": 0.93212890625}, {"start": 3713.69, "end": 3714.03, "word": " نحكي", "probability": 0.877685546875}, {"start": 3714.03, "end": 3714.17, "word": " عن", "probability": 0.986328125}, {"start": 3714.17, "end": 3714.47, "word": " Y", "probability": 0.990234375}, {"start": 3714.47, "end": 3715.11, "word": " محددة", "probability": 0.9934895833333334}], "temperature": 1.0}, {"id": 167, "seek": 373018, "start": 3715.74, "end": 3730.18, "text": "الان مادام Y اللي هي ال E of Y أكيد يشملها لا تساوي سفر اتفجنا عليها الان عرفلي الان function G من R لR عرفها كيف؟", "tokens": [6027, 7649, 3714, 18513, 10943, 398, 13672, 1829, 39896, 2423, 462, 295, 398, 5551, 4117, 25708, 7251, 8592, 42213, 11296, 20193, 6055, 3794, 995, 45865, 8608, 5172, 2288, 1975, 2655, 5172, 7435, 8315, 25894, 11296, 2423, 7649, 6225, 28480, 20292, 2423, 7649, 2445, 460, 9154, 497, 5296, 49, 6225, 28480, 11296, 9122, 33911, 22807], "avg_logprob": -0.38551135605031794, "compression_ratio": 1.385185185185185, "no_speech_prob": 7.808208465576172e-06, "words": [{"start": 3715.74, "end": 3716.4, "word": "الان", "probability": 0.739990234375}, {"start": 3716.4, "end": 3718.4, "word": " مادام", "probability": 0.5358479817708334}, {"start": 3718.4, "end": 3718.92, "word": " Y", "probability": 0.5009765625}, {"start": 3718.92, "end": 3719.4, "word": " اللي", "probability": 0.38134765625}, {"start": 3719.4, "end": 3719.76, "word": " هي", "probability": 0.91650390625}, {"start": 3719.76, "end": 3720.28, "word": " ال", "probability": 0.71435546875}, {"start": 3720.28, "end": 3720.46, "word": " E", "probability": 0.810546875}, {"start": 3720.46, "end": 3720.6, "word": " of", "probability": 0.79736328125}, {"start": 3720.6, "end": 3720.8, "word": " Y", "probability": 0.98828125}, {"start": 3720.8, "end": 3721.12, "word": " أكيد", "probability": 0.7366129557291666}, {"start": 3721.12, "end": 3721.92, "word": " يشملها", "probability": 0.955322265625}, {"start": 3721.92, "end": 3722.36, "word": " لا", "probability": 0.380126953125}, {"start": 3722.36, "end": 3722.82, "word": " تساوي", "probability": 0.842529296875}, {"start": 3722.82, "end": 3723.24, "word": " سفر", "probability": 0.77001953125}, {"start": 3723.24, "end": 3724.8, "word": " اتفجنا", "probability": 0.67529296875}, {"start": 3724.8, "end": 3725.24, "word": " عليها", "probability": 0.98779296875}, {"start": 3725.24, "end": 3726.16, "word": " الان", "probability": 0.54461669921875}, {"start": 3726.16, "end": 3726.92, "word": " عرفلي", "probability": 0.78271484375}, {"start": 3726.92, "end": 3727.36, "word": " الان", "probability": 0.6385498046875}, {"start": 3727.36, "end": 3727.84, "word": " function", "probability": 0.81005859375}, {"start": 3727.84, "end": 3728.22, "word": " G", "probability": 0.351806640625}, {"start": 3728.22, "end": 3728.44, "word": " من", "probability": 0.9794921875}, {"start": 3728.44, "end": 3728.68, "word": " R", "probability": 0.97509765625}, {"start": 3728.68, "end": 3729.04, "word": " لR", "probability": 0.6927490234375}, {"start": 3729.04, "end": 3729.54, "word": " عرفها", "probability": 0.9378255208333334}, {"start": 3729.54, "end": 3730.18, "word": " كيف؟", "probability": 0.9501953125}], "temperature": 1.0}, {"id": 168, "seek": 375988, "start": 3730.88, "end": 3759.88, "text": "G of X المتغير X الان Y اللي هي عبارة عن اشي Fix ثابت بحكي عنه لكن كان arbitrary اللي هي G of X بيساوي E of X زائد Y على E of Y for X element in R أخدنا هذه الدالة الآن شوف هذه الدالة اعمله G prime لها G prime of X بالفضل بالنسبالي XY ثابتة اللي هي بيصير هذه E prime of X زائد Y على E of Y عدد ما لاش علاقة فيه Y ساوي", "tokens": [38, 295, 1783, 9673, 2655, 17082, 13546, 1783, 2423, 7649, 398, 13672, 1829, 39896, 6225, 3555, 9640, 3660, 18871, 1975, 8592, 1829, 25538, 38637, 16758, 2655, 4724, 5016, 4117, 1829, 18871, 3224, 44381, 25961, 23211, 13672, 1829, 39896, 460, 295, 1783, 4724, 1829, 3794, 995, 45865, 462, 295, 1783, 30767, 16373, 3215, 398, 15844, 462, 295, 398, 337, 1783, 4478, 294, 497, 5551, 9778, 3215, 8315, 29538, 32748, 6027, 3660, 6024, 48506, 13412, 38688, 29538, 32748, 6027, 3660, 1975, 25957, 43761, 460, 5835, 5296, 11296, 460, 5835, 295, 1783, 20666, 5172, 11242, 1211, 20666, 1863, 35457, 6027, 1829, 48826, 38637, 16758, 2655, 3660, 13672, 1829, 39896, 4724, 1829, 9381, 13546, 29538, 462, 5835, 295, 1783, 30767, 16373, 3215, 398, 15844, 462, 295, 398, 6225, 3215, 3215, 19446, 5296, 33599, 11203, 995, 28671, 8978, 3224, 398, 8608, 995, 45865], "avg_logprob": -0.20728417502032767, "compression_ratio": 1.8423076923076922, "no_speech_prob": 8.761882781982422e-06, "words": [{"start": 3730.88, "end": 3731.2, "word": "G", "probability": 0.3994140625}, {"start": 3731.2, "end": 3731.52, "word": " of", "probability": 0.2435302734375}, {"start": 3731.52, "end": 3731.9, "word": " X", "probability": 0.95068359375}, {"start": 3731.9, "end": 3732.6, "word": " المتغير", "probability": 0.8973388671875}, {"start": 3732.6, "end": 3732.86, "word": " X", "probability": 0.95703125}, {"start": 3732.86, "end": 3733.16, "word": " الان", "probability": 0.58984375}, {"start": 3733.16, "end": 3733.72, "word": " Y", "probability": 0.54931640625}, {"start": 3733.72, "end": 3734.06, "word": " اللي", "probability": 0.673828125}, {"start": 3734.06, "end": 3734.26, "word": " هي", "probability": 0.873046875}, {"start": 3734.26, "end": 3734.58, "word": " عبارة", "probability": 0.99169921875}, {"start": 3734.58, "end": 3734.78, "word": " عن", "probability": 0.99169921875}, {"start": 3734.78, "end": 3735.02, "word": " اشي", "probability": 0.5868326822916666}, {"start": 3735.02, "end": 3735.28, "word": " Fix", "probability": 0.499755859375}, {"start": 3735.28, "end": 3735.72, "word": " ثابت", "probability": 0.8528645833333334}, {"start": 3735.72, "end": 3736.02, "word": " بحكي", "probability": 0.9423828125}, {"start": 3736.02, "end": 3736.28, "word": " عنه", "probability": 0.98876953125}, {"start": 3736.28, "end": 3736.5, "word": " لكن", "probability": 0.55419921875}, {"start": 3736.5, "end": 3736.72, "word": " كان", "probability": 0.96923828125}, {"start": 3736.72, "end": 3737.14, "word": " arbitrary", "probability": 0.5087890625}, {"start": 3737.14, "end": 3737.92, "word": " اللي", "probability": 0.89111328125}, {"start": 3737.92, "end": 3738.06, "word": " هي", "probability": 0.80859375}, {"start": 3738.06, "end": 3738.26, "word": " G", "probability": 0.91162109375}, {"start": 3738.26, "end": 3738.4, "word": " of", "probability": 0.8681640625}, {"start": 3738.4, "end": 3738.54, "word": " X", "probability": 0.994140625}, {"start": 3738.54, "end": 3738.88, "word": " بيساوي", "probability": 0.83310546875}, {"start": 3738.88, "end": 3739.08, "word": " E", "probability": 0.9287109375}, {"start": 3739.08, "end": 3739.26, "word": " of", "probability": 0.91796875}, {"start": 3739.26, "end": 3739.44, "word": " X", "probability": 0.986328125}, {"start": 3739.44, "end": 3739.72, "word": " زائد", "probability": 0.8829752604166666}, {"start": 3739.72, "end": 3739.94, "word": " Y", "probability": 0.994140625}, {"start": 3739.94, "end": 3740.22, "word": " على", "probability": 0.6064453125}, {"start": 3740.22, "end": 3740.56, "word": " E", "probability": 0.9892578125}, {"start": 3740.56, "end": 3740.8, "word": " of", "probability": 0.9580078125}, {"start": 3740.8, "end": 3741.14, "word": " Y", "probability": 0.99462890625}, {"start": 3741.14, "end": 3741.46, "word": " for", "probability": 0.79443359375}, {"start": 3741.46, "end": 3741.74, "word": " X", "probability": 0.97705078125}, {"start": 3741.74, "end": 3742.1, "word": " element", "probability": 0.7734375}, {"start": 3742.1, "end": 3742.42, "word": " in", "probability": 0.79638671875}, {"start": 3742.42, "end": 3742.88, "word": " R", "probability": 0.486083984375}, {"start": 3742.88, "end": 3744.42, "word": " أخدنا", "probability": 0.870849609375}, {"start": 3744.42, "end": 3744.72, "word": " هذه", "probability": 0.83154296875}, {"start": 3744.72, "end": 3745.3, "word": " الدالة", "probability": 0.9786783854166666}, {"start": 3745.3, "end": 3746.26, "word": " الآن", "probability": 0.6697998046875}, {"start": 3746.26, "end": 3747.16, "word": " شوف", "probability": 0.958984375}, {"start": 3747.16, "end": 3747.52, "word": " هذه", "probability": 0.94775390625}, {"start": 3747.52, "end": 3748.14, "word": " الدالة", "probability": 0.99365234375}, {"start": 3748.14, "end": 3748.76, "word": " اعمله", "probability": 0.7879231770833334}, {"start": 3748.76, "end": 3748.98, "word": " G", "probability": 0.9052734375}, {"start": 3748.98, "end": 3749.3, "word": " prime", "probability": 0.341552734375}, {"start": 3749.3, "end": 3749.66, "word": " لها", "probability": 0.77734375}, {"start": 3749.66, "end": 3750.06, "word": " G", "probability": 0.80517578125}, {"start": 3750.06, "end": 3750.34, "word": " prime", "probability": 0.87158203125}, {"start": 3750.34, "end": 3750.48, "word": " of", "probability": 0.96630859375}, {"start": 3750.48, "end": 3750.82, "word": " X", "probability": 0.99462890625}, {"start": 3750.82, "end": 3751.64, "word": " بالفضل", "probability": 0.73052978515625}, {"start": 3751.64, "end": 3752.0, "word": " بالنسبالي", "probability": 0.896484375}, {"start": 3752.0, "end": 3752.28, "word": " XY", "probability": 0.515625}, {"start": 3752.28, "end": 3753.06, "word": " ثابتة", "probability": 0.9405517578125}, {"start": 3753.06, "end": 3753.48, "word": " اللي", "probability": 0.9609375}, {"start": 3753.48, "end": 3753.58, "word": " هي", "probability": 0.27001953125}, {"start": 3753.58, "end": 3753.92, "word": " بيصير", "probability": 0.8504638671875}, {"start": 3753.92, "end": 3754.14, "word": " هذه", "probability": 0.41259765625}, {"start": 3754.14, "end": 3754.38, "word": " E", "probability": 0.95458984375}, {"start": 3754.38, "end": 3754.8, "word": " prime", "probability": 0.8310546875}, {"start": 3754.8, "end": 3755.04, "word": " of", "probability": 0.9375}, {"start": 3755.04, "end": 3755.3, "word": " X", "probability": 0.986328125}, {"start": 3755.3, "end": 3755.58, "word": " زائد", "probability": 0.9632161458333334}, {"start": 3755.58, "end": 3755.94, "word": " Y", "probability": 0.99365234375}, {"start": 3755.94, "end": 3756.76, "word": " على", "probability": 0.810546875}, {"start": 3756.76, "end": 3756.96, "word": " E", "probability": 0.98388671875}, {"start": 3756.96, "end": 3757.12, "word": " of", "probability": 0.9697265625}, {"start": 3757.12, "end": 3757.34, "word": " Y", "probability": 0.99755859375}, {"start": 3757.34, "end": 3757.84, "word": " عدد", "probability": 0.9724934895833334}, {"start": 3757.84, "end": 3758.06, "word": " ما", "probability": 0.779296875}, {"start": 3758.06, "end": 3758.28, "word": " لاش", "probability": 0.41192626953125}, {"start": 3758.28, "end": 3758.6, "word": " علاقة", "probability": 0.9807942708333334}, {"start": 3758.6, "end": 3759.2, "word": " فيه", "probability": 0.918212890625}, {"start": 3759.2, "end": 3759.46, "word": " Y", "probability": 0.70556640625}, {"start": 3759.46, "end": 3759.88, "word": " ساوي", "probability": 0.8352864583333334}], "temperature": 1.0}, {"id": 169, "seek": 377658, "start": 3760.24, "end": 3776.58, "text": "الـ E' هي نفس مين؟ الـ E of X زي Y على E of Y ماشي؟ طيب، الآن صار هذا الـ E X زي Y على E of Y هو مين؟ رجع G إذا رجعت إن الـ G' مش بيساوي الـ G الآن and", "tokens": [6027, 39184, 462, 6, 39896, 8717, 36178, 3714, 9957, 22807, 2423, 39184, 462, 295, 1783, 30767, 1829, 398, 15844, 462, 295, 398, 3714, 33599, 1829, 22807, 23032, 1829, 3555, 12399, 6024, 48506, 20328, 9640, 23758, 2423, 39184, 462, 1783, 30767, 1829, 398, 15844, 462, 295, 398, 31439, 3714, 9957, 22807, 12602, 7435, 3615, 460, 11933, 15730, 12602, 7435, 34268, 36145, 2423, 39184, 460, 6, 37893, 4724, 1829, 3794, 995, 45865, 2423, 39184, 460, 6024, 48506, 293], "avg_logprob": -0.33603897342434175, "compression_ratio": 1.5810810810810811, "no_speech_prob": 1.1920928955078125e-05, "words": [{"start": 3760.24, "end": 3760.56, "word": "الـ", "probability": 0.774658203125}, {"start": 3760.56, "end": 3760.72, "word": " E'", "probability": 0.74658203125}, {"start": 3761.0, "end": 3761.2, "word": " هي", "probability": 0.89794921875}, {"start": 3761.2, "end": 3761.46, "word": " نفس", "probability": 0.98828125}, {"start": 3761.46, "end": 3762.04, "word": " مين؟", "probability": 0.450439453125}, {"start": 3762.04, "end": 3762.24, "word": " الـ", "probability": 0.808349609375}, {"start": 3762.24, "end": 3762.34, "word": " E", "probability": 0.7978515625}, {"start": 3762.34, "end": 3762.46, "word": " of", "probability": 0.243408203125}, {"start": 3762.46, "end": 3762.62, "word": " X", "probability": 0.86181640625}, {"start": 3762.62, "end": 3762.76, "word": " زي", "probability": 0.71826171875}, {"start": 3762.76, "end": 3763.08, "word": " Y", "probability": 0.60400390625}, {"start": 3763.08, "end": 3764.02, "word": " على", "probability": 0.5751953125}, {"start": 3764.02, "end": 3764.28, "word": " E", "probability": 0.95947265625}, {"start": 3764.28, "end": 3764.46, "word": " of", "probability": 0.962890625}, {"start": 3764.46, "end": 3764.8, "word": " Y", "probability": 0.99755859375}, {"start": 3764.8, "end": 3766.6, "word": " ماشي؟", "probability": 0.671875}, {"start": 3766.6, "end": 3767.14, "word": " طيب،", "probability": 0.85986328125}, {"start": 3767.14, "end": 3767.52, "word": " الآن", "probability": 0.6361083984375}, {"start": 3767.52, "end": 3767.78, "word": " صار", "probability": 0.931640625}, {"start": 3767.78, "end": 3768.04, "word": " هذا", "probability": 0.92578125}, {"start": 3768.04, "end": 3768.2, "word": " الـ", "probability": 0.698974609375}, {"start": 3768.2, "end": 3768.28, "word": " E", "probability": 0.8701171875}, {"start": 3768.28, "end": 3768.4, "word": " X", "probability": 0.333740234375}, {"start": 3768.4, "end": 3768.52, "word": " زي", "probability": 0.921630859375}, {"start": 3768.52, "end": 3768.72, "word": " Y", "probability": 0.9794921875}, {"start": 3768.72, "end": 3768.92, "word": " على", "probability": 0.68310546875}, {"start": 3768.92, "end": 3769.06, "word": " E", "probability": 0.990234375}, {"start": 3769.06, "end": 3769.14, "word": " of", "probability": 0.8740234375}, {"start": 3769.14, "end": 3769.28, "word": " Y", "probability": 0.9970703125}, {"start": 3769.28, "end": 3769.46, "word": " هو", "probability": 0.92236328125}, {"start": 3769.46, "end": 3769.7, "word": " مين؟", "probability": 0.7987467447916666}, {"start": 3769.7, "end": 3769.98, "word": " رجع", "probability": 0.89208984375}, {"start": 3769.98, "end": 3770.24, "word": " G", "probability": 0.58056640625}, {"start": 3770.24, "end": 3770.8, "word": " إذا", "probability": 0.73876953125}, {"start": 3770.8, "end": 3771.64, "word": " رجعت", "probability": 0.8704427083333334}, {"start": 3771.64, "end": 3771.78, "word": " إن", "probability": 0.212890625}, {"start": 3771.78, "end": 3771.96, "word": " الـ", "probability": 0.933349609375}, {"start": 3771.96, "end": 3772.08, "word": " G'", "probability": 0.880859375}, {"start": 3772.3, "end": 3773.28, "word": " مش", "probability": 0.42626953125}, {"start": 3773.28, "end": 3773.92, "word": " بيساوي", "probability": 0.694970703125}, {"start": 3773.92, "end": 3774.54, "word": " الـ", "probability": 0.908935546875}, {"start": 3774.54, "end": 3774.78, "word": " G", "probability": 0.88427734375}, {"start": 3774.78, "end": 3776.06, "word": " الآن", "probability": 0.6876220703125}, {"start": 3776.06, "end": 3776.58, "word": " and", "probability": 0.173828125}], "temperature": 1.0}, {"id": 170, "seek": 380615, "start": 3777.37, "end": 3806.15, "text": "أحسب لي g of 0 بساوية e of 0 زائد y على e of y يعني بساوية واحدة إذا الدالة اللي عرفناها هذه g of x طلعت لي g prime لها نفسها وطلعت لي g of 0 واحدة وعلمة قبل قليل عمال بيقول مافيش لغير واحدة في الدنيا بتهبها الخاصيتين اللي هي مين ال E of X إذا هذه غصب عننا لازم تطلع مين ال E of X because of the uniqueness of E", "tokens": [10721, 5016, 35457, 32239, 290, 295, 1958, 4724, 3794, 995, 2407, 10632, 308, 295, 1958, 30767, 16373, 3215, 288, 15844, 308, 295, 288, 37495, 22653, 4724, 3794, 995, 2407, 10632, 36764, 24401, 3660, 11933, 15730, 32748, 6027, 3660, 13672, 1829, 6225, 28480, 8315, 11296, 29538, 290, 295, 2031, 23032, 1211, 34268, 32239, 290, 5835, 5296, 11296, 8717, 36178, 11296, 4032, 9566, 1211, 34268, 32239, 290, 295, 1958, 36764, 24401, 3660, 4032, 3615, 19528, 3660, 12174, 36150, 12174, 20292, 1211, 6225, 2304, 6027, 4724, 1829, 39648, 19446, 41185, 8592, 5296, 17082, 13546, 36764, 24401, 3660, 8978, 32748, 22653, 995, 39894, 3224, 3555, 11296, 33962, 33546, 36081, 9957, 13672, 1829, 39896, 3714, 9957, 2423, 462, 295, 1783, 11933, 15730, 29538, 32771, 9381, 3555, 18871, 8315, 5296, 31377, 2304, 6055, 9566, 1211, 3615, 3714, 9957, 2423, 462, 295, 1783, 570, 295, 264, 48294, 295, 462], "avg_logprob": -0.25065560274190835, "compression_ratio": 1.8178438661710037, "no_speech_prob": 3.2782554626464844e-06, "words": [{"start": 3777.37, "end": 3777.85, "word": "أحسب", "probability": 0.7196451822916666}, {"start": 3777.85, "end": 3777.99, "word": " لي", "probability": 0.2388916015625}, {"start": 3777.99, "end": 3778.25, "word": " g", "probability": 0.3427734375}, {"start": 3778.25, "end": 3778.43, "word": " of", "probability": 0.2301025390625}, {"start": 3778.43, "end": 3778.87, "word": " 0", "probability": 0.5302734375}, {"start": 3778.87, "end": 3780.95, "word": " بساوية", "probability": 0.61494140625}, {"start": 3780.95, "end": 3781.25, "word": " e", "probability": 0.31494140625}, {"start": 3781.25, "end": 3781.43, "word": " of", "probability": 0.88134765625}, {"start": 3781.43, "end": 3781.77, "word": " 0", "probability": 0.9072265625}, {"start": 3781.77, "end": 3782.25, "word": " زائد", "probability": 0.7470703125}, {"start": 3782.25, "end": 3782.53, "word": " y", "probability": 0.92041015625}, {"start": 3782.53, "end": 3782.79, "word": " على", "probability": 0.57421875}, {"start": 3782.79, "end": 3782.99, "word": " e", "probability": 0.71826171875}, {"start": 3782.99, "end": 3783.15, "word": " of", "probability": 0.9677734375}, {"start": 3783.15, "end": 3783.51, "word": " y", "probability": 0.93994140625}, {"start": 3783.51, "end": 3784.17, "word": " يعني", "probability": 0.857666015625}, {"start": 3784.17, "end": 3784.59, "word": " بساوية", "probability": 0.90546875}, {"start": 3784.59, "end": 3785.31, "word": " واحدة", "probability": 0.90966796875}, {"start": 3785.31, "end": 3785.51, "word": " إذا", "probability": 0.713623046875}, {"start": 3785.51, "end": 3786.07, "word": " الدالة", "probability": 0.830078125}, {"start": 3786.07, "end": 3786.19, "word": " اللي", "probability": 0.814208984375}, {"start": 3786.19, "end": 3787.05, "word": " عرفناها", "probability": 0.96337890625}, {"start": 3787.05, "end": 3787.57, "word": " هذه", "probability": 0.373046875}, {"start": 3787.57, "end": 3788.27, "word": " g", "probability": 0.61865234375}, {"start": 3788.27, "end": 3788.47, "word": " of", "probability": 0.880859375}, {"start": 3788.47, "end": 3788.83, "word": " x", "probability": 0.77587890625}, {"start": 3788.83, "end": 3789.51, "word": " طلعت", "probability": 0.8583984375}, {"start": 3789.51, "end": 3789.65, "word": " لي", "probability": 0.68994140625}, {"start": 3789.65, "end": 3789.93, "word": " g", "probability": 0.48388671875}, {"start": 3789.93, "end": 3790.25, "word": " prime", "probability": 0.5732421875}, {"start": 3790.25, "end": 3790.51, "word": " لها", "probability": 0.7054443359375}, {"start": 3790.51, "end": 3791.05, "word": " نفسها", "probability": 0.9969075520833334}, {"start": 3791.05, "end": 3792.09, "word": " وطلعت", "probability": 0.8914794921875}, {"start": 3792.09, "end": 3792.21, "word": " لي", "probability": 0.79833984375}, {"start": 3792.21, "end": 3792.43, "word": " g", "probability": 0.9404296875}, {"start": 3792.43, "end": 3792.57, "word": " of", "probability": 0.96533203125}, {"start": 3792.57, "end": 3792.83, "word": " 0", "probability": 0.73779296875}, {"start": 3792.83, "end": 3793.43, "word": " واحدة", "probability": 0.8255208333333334}, {"start": 3793.43, "end": 3794.11, "word": " وعلمة", "probability": 0.70025634765625}, {"start": 3794.11, "end": 3794.27, "word": " قبل", "probability": 0.910888671875}, {"start": 3794.27, "end": 3794.55, "word": " قليل", "probability": 0.697998046875}, {"start": 3794.55, "end": 3795.01, "word": " عمال", "probability": 0.6282552083333334}, {"start": 3795.01, "end": 3795.31, "word": " بيقول", "probability": 0.7825520833333334}, {"start": 3795.31, "end": 3795.71, "word": " مافيش", "probability": 0.8056640625}, {"start": 3795.71, "end": 3796.03, "word": " لغير", "probability": 0.7440592447916666}, {"start": 3796.03, "end": 3796.31, "word": " واحدة", "probability": 0.9801432291666666}, {"start": 3796.31, "end": 3796.41, "word": " في", "probability": 0.93505859375}, {"start": 3796.41, "end": 3796.79, "word": " الدنيا", "probability": 0.9775390625}, {"start": 3796.79, "end": 3797.23, "word": " بتهبها", "probability": 0.5859375}, {"start": 3797.23, "end": 3798.11, "word": " الخاصيتين", "probability": 0.9193115234375}, {"start": 3798.11, "end": 3798.61, "word": " اللي", "probability": 0.92333984375}, {"start": 3798.61, "end": 3798.85, "word": " هي", "probability": 0.77490234375}, {"start": 3798.85, "end": 3799.23, "word": " مين", "probability": 0.87451171875}, {"start": 3799.23, "end": 3799.59, "word": " ال", "probability": 0.5078125}, {"start": 3799.59, "end": 3799.77, "word": " E", "probability": 0.481689453125}, {"start": 3799.77, "end": 3799.95, "word": " of", "probability": 0.9580078125}, {"start": 3799.95, "end": 3800.15, "word": " X", "probability": 0.88916015625}, {"start": 3800.15, "end": 3800.37, "word": " إذا", "probability": 0.86572265625}, {"start": 3800.37, "end": 3800.73, "word": " هذه", "probability": 0.673828125}, {"start": 3800.73, "end": 3801.05, "word": " غصب", "probability": 0.9747721354166666}, {"start": 3801.05, "end": 3801.51, "word": " عننا", "probability": 0.522705078125}, {"start": 3801.51, "end": 3801.77, "word": " لازم", "probability": 0.9742838541666666}, {"start": 3801.77, "end": 3802.11, "word": " تطلع", "probability": 0.9688720703125}, {"start": 3802.11, "end": 3802.49, "word": " مين", "probability": 0.837890625}, {"start": 3802.49, "end": 3803.19, "word": " ال", "probability": 0.814453125}, {"start": 3803.19, "end": 3803.45, "word": " E", "probability": 0.986328125}, {"start": 3803.45, "end": 3803.63, "word": " of", "probability": 0.966796875}, {"start": 3803.63, "end": 3803.83, "word": " X", "probability": 0.9892578125}, {"start": 3803.83, "end": 3804.07, "word": " because", "probability": 0.755859375}, {"start": 3804.07, "end": 3804.39, "word": " of", "probability": 0.97509765625}, {"start": 3804.39, "end": 3804.53, "word": " the", "probability": 0.80126953125}, {"start": 3804.53, "end": 3804.97, "word": " uniqueness", "probability": 0.98291015625}, {"start": 3804.97, "end": 3805.69, "word": " of", "probability": 0.982421875}, {"start": 3805.69, "end": 3806.15, "word": " E", "probability": 0.9677734375}], "temperature": 1.0}, {"id": 171, "seek": 382948, "start": 3806.54, "end": 3829.48, "text": "إذا صحيح أنا عندي E of X بساوي E X Z Y على E E of Y يعني E X Z Y بساوي E of Y في ال E of X و هو المطلوب طيب نيجي الآن نثبت اللي بعدها اللي هي بدنا نثبت E of R بساوي E to the R", "tokens": [28814, 15730, 20328, 5016, 1829, 5016, 41850, 18871, 16254, 462, 295, 1783, 4724, 3794, 995, 45865, 462, 1783, 1176, 398, 15844, 462, 462, 295, 398, 37495, 22653, 462, 1783, 1176, 398, 4724, 3794, 995, 45865, 462, 295, 398, 8978, 2423, 462, 295, 1783, 4032, 31439, 9673, 9566, 1211, 37746, 23032, 1829, 3555, 8717, 1829, 7435, 1829, 6024, 48506, 8717, 12984, 3555, 2655, 13672, 1829, 39182, 11296, 13672, 1829, 39896, 47525, 8315, 8717, 12984, 3555, 2655, 462, 295, 497, 4724, 3794, 995, 45865, 462, 281, 264, 497], "avg_logprob": -0.22306034071692105, "compression_ratio": 1.6751592356687899, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 3806.54, "end": 3806.78, "word": "إذا", "probability": 0.599853515625}, {"start": 3806.78, "end": 3807.06, "word": " صحيح", "probability": 0.61297607421875}, {"start": 3807.06, "end": 3807.08, "word": " أنا", "probability": 0.162353515625}, {"start": 3807.08, "end": 3807.32, "word": " عندي", "probability": 0.781982421875}, {"start": 3807.32, "end": 3807.48, "word": " E", "probability": 0.79248046875}, {"start": 3807.48, "end": 3807.66, "word": " of", "probability": 0.4990234375}, {"start": 3807.66, "end": 3807.98, "word": " X", "probability": 0.9814453125}, {"start": 3807.98, "end": 3808.5, "word": " بساوي", "probability": 0.4598388671875}, {"start": 3808.5, "end": 3808.7, "word": " E", "probability": 0.82666015625}, {"start": 3808.7, "end": 3808.84, "word": " X", "probability": 0.7216796875}, {"start": 3808.84, "end": 3808.98, "word": " Z", "probability": 0.381103515625}, {"start": 3808.98, "end": 3809.2, "word": " Y", "probability": 0.7763671875}, {"start": 3809.2, "end": 3809.42, "word": " على", "probability": 0.61865234375}, {"start": 3809.42, "end": 3809.66, "word": " E", "probability": 0.95849609375}, {"start": 3809.66, "end": 3809.92, "word": " E", "probability": 0.7060546875}, {"start": 3809.92, "end": 3810.06, "word": " of", "probability": 0.72216796875}, {"start": 3810.06, "end": 3810.22, "word": " Y", "probability": 0.9951171875}, {"start": 3810.22, "end": 3810.44, "word": " يعني", "probability": 0.9130859375}, {"start": 3810.44, "end": 3810.66, "word": " E", "probability": 0.962890625}, {"start": 3810.66, "end": 3810.82, "word": " X", "probability": 0.51318359375}, {"start": 3810.82, "end": 3811.0, "word": " Z", "probability": 0.96337890625}, {"start": 3811.0, "end": 3811.2, "word": " Y", "probability": 0.97021484375}, {"start": 3811.2, "end": 3811.52, "word": " بساوي", "probability": 0.9627685546875}, {"start": 3811.52, "end": 3811.72, "word": " E", "probability": 0.96484375}, {"start": 3811.72, "end": 3811.8, "word": " of", "probability": 0.449462890625}, {"start": 3811.8, "end": 3812.08, "word": " Y", "probability": 0.9892578125}, {"start": 3812.08, "end": 3812.54, "word": " في", "probability": 0.6318359375}, {"start": 3812.54, "end": 3812.68, "word": " ال", "probability": 0.802734375}, {"start": 3812.68, "end": 3812.9, "word": " E", "probability": 0.8974609375}, {"start": 3812.9, "end": 3813.12, "word": " of", "probability": 0.87548828125}, {"start": 3813.12, "end": 3813.48, "word": " X", "probability": 0.998046875}, {"start": 3813.48, "end": 3813.8, "word": " و", "probability": 0.61328125}, {"start": 3813.8, "end": 3814.16, "word": " هو", "probability": 0.65966796875}, {"start": 3814.16, "end": 3815.14, "word": " المطلوب", "probability": 0.9825439453125}, {"start": 3815.14, "end": 3815.78, "word": " طيب", "probability": 0.8797200520833334}, {"start": 3815.78, "end": 3817.94, "word": " نيجي", "probability": 0.93359375}, {"start": 3817.94, "end": 3818.9, "word": " الآن", "probability": 0.661376953125}, {"start": 3818.9, "end": 3819.64, "word": " نثبت", "probability": 0.9925537109375}, {"start": 3819.64, "end": 3820.8, "word": " اللي", "probability": 0.971435546875}, {"start": 3820.8, "end": 3821.46, "word": " بعدها", "probability": 0.85986328125}, {"start": 3821.46, "end": 3821.92, "word": " اللي", "probability": 0.96533203125}, {"start": 3821.92, "end": 3822.24, "word": " هي", "probability": 0.8603515625}, {"start": 3822.24, "end": 3823.04, "word": " بدنا", "probability": 0.919677734375}, {"start": 3823.04, "end": 3823.5, "word": " نثبت", "probability": 0.9967041015625}, {"start": 3823.5, "end": 3824.02, "word": " E", "probability": 0.9853515625}, {"start": 3824.02, "end": 3826.36, "word": " of", "probability": 0.765625}, {"start": 3826.36, "end": 3826.8, "word": " R", "probability": 0.9931640625}, {"start": 3826.8, "end": 3827.46, "word": " بساوي", "probability": 0.9034423828125}, {"start": 3827.46, "end": 3828.18, "word": " E", "probability": 0.9765625}, {"start": 3828.18, "end": 3828.56, "word": " to", "probability": 0.91796875}, {"start": 3828.56, "end": 3828.82, "word": " the", "probability": 0.8515625}, {"start": 3828.82, "end": 3829.48, "word": " R", "probability": 0.9853515625}], "temperature": 1.0}, {"id": 172, "seek": 385927, "start": 3830.69, "end": 3859.27, "text": "R المنتنين LQ اللي هو rational number طيب جماعة فيكم تصل على النبي عليه الصلاة والسلام لنشوف كيف نيجي البرهن اللي هو الجزء الثالث أو هذا جزء من النظرية أول حاجة", "tokens": [49, 9673, 29399, 1863, 9957, 441, 48, 13672, 1829, 31439, 15090, 1230, 23032, 1829, 3555, 10874, 15042, 27884, 8978, 24793, 6055, 36520, 15844, 28239, 21292, 47356, 31767, 15040, 3660, 16070, 3794, 37440, 5296, 1863, 8592, 38688, 9122, 33911, 8717, 1829, 7435, 1829, 2423, 26890, 3224, 1863, 13672, 1829, 31439, 25724, 11622, 38207, 6024, 104, 6027, 12984, 34051, 23758, 10874, 11622, 38207, 9154, 28239, 19913, 2288, 10632, 5551, 12610, 11331, 26108, 3660], "avg_logprob": -0.2601996440854337, "compression_ratio": 1.5166666666666666, "no_speech_prob": 1.3113021850585938e-06, "words": [{"start": 3830.69, "end": 3831.25, "word": "R", "probability": 0.495849609375}, {"start": 3831.25, "end": 3832.37, "word": " المنتنين", "probability": 0.497467041015625}, {"start": 3832.37, "end": 3833.29, "word": " LQ", "probability": 0.47515869140625}, {"start": 3833.29, "end": 3833.89, "word": " اللي", "probability": 0.805908203125}, {"start": 3833.89, "end": 3834.19, "word": " هو", "probability": 0.95068359375}, {"start": 3834.19, "end": 3834.87, "word": " rational", "probability": 0.4541015625}, {"start": 3834.87, "end": 3836.07, "word": " number", "probability": 0.9677734375}, {"start": 3836.07, "end": 3837.11, "word": " طيب", "probability": 0.8707682291666666}, {"start": 3837.11, "end": 3837.55, "word": " جماعة", "probability": 0.8146158854166666}, {"start": 3837.55, "end": 3839.11, "word": " فيكم", "probability": 0.6181640625}, {"start": 3839.11, "end": 3839.49, "word": " تصل", "probability": 0.7047119140625}, {"start": 3839.49, "end": 3839.69, "word": " على", "probability": 0.63623046875}, {"start": 3839.69, "end": 3839.99, "word": " النبي", "probability": 0.9775390625}, {"start": 3839.99, "end": 3840.31, "word": " عليه", "probability": 0.82568359375}, {"start": 3840.31, "end": 3840.87, "word": " الصلاة", "probability": 0.9698893229166666}, {"start": 3840.87, "end": 3841.51, "word": " والسلام", "probability": 0.9200846354166666}, {"start": 3841.51, "end": 3841.99, "word": " لنشوف", "probability": 0.7701416015625}, {"start": 3841.99, "end": 3842.29, "word": " كيف", "probability": 0.97900390625}, {"start": 3842.29, "end": 3849.37, "word": " نيجي", "probability": 0.78594970703125}, {"start": 3849.37, "end": 3849.99, "word": " البرهن", "probability": 0.77655029296875}, {"start": 3849.99, "end": 3850.23, "word": " اللي", "probability": 0.97607421875}, {"start": 3850.23, "end": 3850.97, "word": " هو", "probability": 0.9931640625}, {"start": 3850.97, "end": 3852.03, "word": " الجزء", "probability": 0.9793294270833334}, {"start": 3852.03, "end": 3852.73, "word": " الثالث", "probability": 0.936279296875}, {"start": 3852.73, "end": 3853.33, "word": " أو", "probability": 0.7333984375}, {"start": 3853.33, "end": 3853.59, "word": " هذا", "probability": 0.943359375}, {"start": 3853.59, "end": 3853.83, "word": " جزء", "probability": 0.9236653645833334}, {"start": 3853.83, "end": 3853.97, "word": " من", "probability": 0.99560546875}, {"start": 3853.97, "end": 3854.69, "word": " النظرية", "probability": 0.7767333984375}, {"start": 3854.69, "end": 3858.83, "word": " أول", "probability": 0.867919921875}, {"start": 3858.83, "end": 3859.27, "word": " حاجة", "probability": 0.99462890625}], "temperature": 1.0}, {"id": 173, "seek": 387206, "start": 3860.14, "end": 3872.06, "text": "هذه صحيحة لكل أنهي المتنانة كيف؟ by induction E of X بساوي E of X", "tokens": [3224, 24192, 20328, 5016, 1829, 5016, 3660, 5296, 28820, 14739, 3224, 1829, 9673, 2655, 1863, 7649, 3660, 9122, 33911, 22807, 538, 33371, 462, 295, 1783, 4724, 3794, 995, 45865, 462, 295, 1783], "avg_logprob": -0.3096590909090909, "compression_ratio": 1.0104166666666667, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 3860.14, "end": 3860.68, "word": "هذه", "probability": 0.68310546875}, {"start": 3860.68, "end": 3862.12, "word": " صحيحة", "probability": 0.85849609375}, {"start": 3862.12, "end": 3862.4, "word": " لكل", "probability": 0.933349609375}, {"start": 3862.4, "end": 3862.66, "word": " أنهي", "probability": 0.6563313802083334}, {"start": 3862.66, "end": 3863.42, "word": " المتنانة", "probability": 0.637158203125}, {"start": 3863.42, "end": 3863.94, "word": " كيف؟", "probability": 0.652099609375}, {"start": 3863.94, "end": 3864.02, "word": " by", "probability": 0.2509765625}, {"start": 3864.02, "end": 3864.56, "word": " induction", "probability": 0.9833984375}, {"start": 3864.56, "end": 3865.84, "word": " E", "probability": 0.61865234375}, {"start": 3865.84, "end": 3867.86, "word": " of", "probability": 0.71826171875}, {"start": 3867.86, "end": 3869.9, "word": " X", "probability": 0.97607421875}, {"start": 3869.9, "end": 3871.14, "word": " بساوي", "probability": 0.669769287109375}, {"start": 3871.14, "end": 3871.44, "word": " E", "probability": 0.9814453125}, {"start": 3871.44, "end": 3871.64, "word": " of", "probability": 0.94970703125}, {"start": 3871.64, "end": 3872.06, "word": " X", "probability": 0.99462890625}], "temperature": 1.0}, {"id": 174, "seek": 390221, "start": 3873.95, "end": 3902.21, "text": "أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أكيد أك", "tokens": [10721, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117, 25708, 5551, 4117], "avg_logprob": -0.04986111005147298, "compression_ratio": 26.8, "no_speech_prob": 3.147125244140625e-05, "words": [{"start": 3873.95, "end": 3874.35, "word": "أكيد", "probability": 0.5037841796875}, {"start": 3874.35, "end": 3874.75, "word": " أكيد", "probability": 0.8732096354166666}, {"start": 3874.75, "end": 3874.99, "word": " أكيد", "probability": 0.9443359375}, {"start": 3874.99, "end": 3875.17, "word": " أكيد", "probability": 0.7623697916666666}, {"start": 3875.17, "end": 3893.33, "word": " أكيد", "probability": 0.7529296875}, {"start": 3893.33, "end": 3894.03, "word": " أكيد", "probability": 0.9283854166666666}, {"start": 3894.03, "end": 3895.33, "word": " أكيد", "probability": 0.9609375}, {"start": 3895.33, "end": 3895.33, "word": " أكيد", "probability": 0.9703776041666666}, {"start": 3895.33, "end": 3895.83, "word": " أكيد", "probability": 0.9744466145833334}, {"start": 3895.83, "end": 3896.13, "word": " أكيد", "probability": 0.9754231770833334}, {"start": 3896.13, "end": 3896.25, "word": " أكيد", "probability": 0.9747721354166666}, {"start": 3896.25, "end": 3896.25, "word": " أكيد", "probability": 0.9733072916666666}, {"start": 3896.25, "end": 3896.27, "word": " أكيد", "probability": 0.9715169270833334}, {"start": 3896.27, "end": 3896.27, "word": " أكيد", "probability": 0.9705403645833334}, {"start": 3896.27, "end": 3896.27, "word": " أكيد", "probability": 0.9690755208333334}, {"start": 3896.27, "end": 3896.27, "word": " أكيد", "probability": 0.96728515625}, {"start": 3896.27, "end": 3896.27, "word": " أكيد", "probability": 0.9669596354166666}, {"start": 3896.27, "end": 3896.27, "word": " أكيد", "probability": 0.9671223958333334}, {"start": 3896.27, "end": 3896.27, "word": " أكيد", "probability": 0.9674479166666666}, {"start": 3896.27, "end": 3896.27, "word": " أكيد", "probability": 0.9676106770833334}, {"start": 3896.27, "end": 3896.31, "word": " أكيد", "probability": 0.9689127604166666}, {"start": 3896.31, "end": 3896.31, "word": " أكيد", "probability": 0.9703776041666666}, {"start": 3896.31, "end": 3896.31, "word": " أكيد", "probability": 0.9718424479166666}, {"start": 3896.31, "end": 3896.33, "word": " أكيد", "probability": 0.97314453125}, {"start": 3896.33, "end": 3896.33, "word": " أكيد", "probability": 0.974609375}, {"start": 3896.33, "end": 3896.47, "word": " أكيد", "probability": 0.9749348958333334}, {"start": 3896.47, "end": 3896.57, "word": " أكيد", "probability": 0.9747721354166666}, {"start": 3896.57, "end": 3896.67, "word": " أكيد", "probability": 0.9742838541666666}, {"start": 3896.67, "end": 3896.75, "word": " أكيد", "probability": 0.9733072916666666}, {"start": 3896.75, "end": 3896.79, "word": " أكيد", "probability": 0.9718424479166666}, {"start": 3896.79, "end": 3896.81, "word": " أكيد", "probability": 0.9708658854166666}, {"start": 3896.81, "end": 3896.81, "word": " أكيد", "probability": 0.97021484375}, {"start": 3896.81, "end": 3897.09, "word": " أكيد", "probability": 0.9697265625}, {"start": 3897.09, "end": 3897.09, "word": " أكيد", "probability": 0.9694010416666666}, {"start": 3897.09, "end": 3897.11, "word": " أكيد", "probability": 0.9695638020833334}, {"start": 3897.11, "end": 3897.11, "word": " أكيد", "probability": 0.9705403645833334}, {"start": 3897.11, "end": 3897.21, "word": " أكيد", "probability": 0.9713541666666666}, {"start": 3897.21, "end": 3897.21, "word": " أكيد", "probability": 0.97265625}, {"start": 3897.21, "end": 3897.29, "word": " أكيد", "probability": 0.9739583333333334}, {"start": 3897.29, "end": 3897.29, "word": " أكيد", "probability": 0.9754231770833334}, {"start": 3897.29, "end": 3897.29, "word": " أكيد", "probability": 0.97607421875}, {"start": 3897.29, "end": 3897.33, "word": " أكيد", "probability": 0.9772135416666666}, {"start": 3897.33, "end": 3898.63, "word": " أكيد", "probability": 0.9781901041666666}, {"start": 3898.63, "end": 3899.15, "word": " أكيد", "probability": 0.9794921875}, {"start": 3899.15, "end": 3900.17, "word": " أكيد", "probability": 0.9806315104166666}, {"start": 3900.17, "end": 3900.17, "word": " أكيد", "probability": 0.98095703125}, {"start": 3900.17, "end": 3900.17, "word": " أكيد", "probability": 0.9814453125}, {"start": 3900.17, "end": 3900.17, "word": " أكيد", "probability": 0.9822591145833334}, {"start": 3900.17, "end": 3900.17, "word": " أكيد", "probability": 0.9822591145833334}, {"start": 3900.17, "end": 3900.17, "word": " أكيد", "probability": 0.9825846354166666}, {"start": 3900.17, "end": 3900.17, "word": " أكيد", "probability": 0.9825846354166666}, {"start": 3900.17, "end": 3900.17, "word": " أكيد", "probability": 0.9825846354166666}, {"start": 3900.17, "end": 3900.17, "word": " أكيد", "probability": 0.9820963541666666}, {"start": 3900.17, "end": 3900.17, "word": " أكيد", "probability": 0.9817708333333334}, {"start": 3900.17, "end": 3900.17, "word": " أكيد", "probability": 0.9812825520833334}, {"start": 3900.17, "end": 3900.17, "word": " أكيد", "probability": 0.9807942708333334}, {"start": 3900.17, "end": 3900.17, "word": " أكيد", "probability": 0.9807942708333334}, {"start": 3900.17, "end": 3900.17, "word": " أكيد", "probability": 0.9794921875}, {"start": 3900.17, "end": 3900.17, "word": " أكيد", "probability": 0.97802734375}, {"start": 3900.17, "end": 3900.17, "word": " أكيد", "probability": 0.9767252604166666}, {"start": 3900.17, "end": 3900.17, "word": " أكيد", "probability": 0.9752604166666666}, {"start": 3900.17, "end": 3900.17, "word": " أكيد", "probability": 0.9737955729166666}, {"start": 3900.17, "end": 3900.17, "word": " أكيد", "probability": 0.9716796875}, {"start": 3900.17, "end": 3900.17, "word": " أكيد", "probability": 0.9697265625}, {"start": 3900.17, "end": 3900.17, "word": " أكيد", "probability": 0.96826171875}, {"start": 3900.17, "end": 3900.17, "word": " أكيد", "probability": 0.9661458333333334}, {"start": 3900.17, "end": 3900.17, "word": " أكيد", "probability": 0.9637044270833334}, {"start": 3900.17, "end": 3900.17, "word": " أكيد", "probability": 0.9599609375}, {"start": 3900.17, "end": 3900.17, "word": " أكيد", "probability": 0.9567057291666666}, {"start": 3900.17, "end": 3900.17, "word": " أكيد", "probability": 0.9560546875}, {"start": 3900.17, "end": 3900.39, "word": " أكيد", "probability": 0.9549153645833334}, {"start": 3900.39, "end": 3901.01, "word": " أكيد", "probability": 0.95263671875}, {"start": 3901.01, "end": 3901.61, "word": " أكيد", "probability": 0.9461263020833334}, {"start": 3901.61, "end": 3902.03, "word": " أكيد", "probability": 0.9554036458333334}, {"start": 3902.03, "end": 3902.21, "word": " أك", "probability": 0.99267578125}], "temperature": 1.0}, {"id": 175, "seek": 393054, "start": 3902.24, "end": 3930.54, "text": "E of K في X زائد X ويساوي من الخاصية اللي احنا لسه ماخلصنهاش هذه بساوي E للأول زايد في E للتاني اللي هي E للأول اللي هو KX في E للتاني اللي هي EX ويساوي EKX اللي هو E of X أُس K لأنه فرضينا أنا صحيحة اللي هي K بيصير عندي E of X أُس K في E of X", "tokens": [36, 295, 591, 8978, 1783, 30767, 16373, 3215, 1783, 4032, 1829, 3794, 995, 45865, 9154, 33962, 33546, 10632, 13672, 1829, 1975, 5016, 8315, 5296, 3794, 3224, 19446, 9778, 1211, 9381, 1863, 11296, 8592, 29538, 4724, 3794, 995, 45865, 462, 24976, 10721, 12610, 30767, 995, 25708, 8978, 462, 24976, 2655, 7649, 1829, 13672, 1829, 39896, 462, 24976, 10721, 12610, 13672, 1829, 31439, 591, 55, 8978, 462, 24976, 2655, 7649, 1829, 13672, 1829, 39896, 16385, 4032, 1829, 3794, 995, 45865, 46078, 55, 13672, 1829, 31439, 462, 295, 1783, 5551, 10859, 3794, 591, 5296, 33456, 3224, 6156, 43042, 1829, 8315, 41850, 20328, 5016, 1829, 5016, 3660, 13672, 1829, 39896, 591, 4724, 1829, 9381, 13546, 18871, 16254, 462, 295, 1783, 5551, 10859, 3794, 591, 8978, 462, 295, 1783], "avg_logprob": -0.1761250057220459, "compression_ratio": 2.046875, "no_speech_prob": 6.258487701416016e-06, "words": [{"start": 3902.24, "end": 3902.74, "word": "E", "probability": 0.80615234375}, {"start": 3902.74, "end": 3903.62, "word": " of", "probability": 0.51123046875}, {"start": 3903.62, "end": 3903.96, "word": " K", "probability": 0.7255859375}, {"start": 3903.96, "end": 3904.22, "word": " في", "probability": 0.67822265625}, {"start": 3904.22, "end": 3904.6, "word": " X", "probability": 0.9501953125}, {"start": 3904.6, "end": 3905.44, "word": " زائد", "probability": 0.8387044270833334}, {"start": 3905.44, "end": 3905.92, "word": " X", "probability": 0.98876953125}, {"start": 3905.92, "end": 3907.0, "word": " ويساوي", "probability": 0.76357421875}, {"start": 3907.0, "end": 3907.46, "word": " من", "probability": 0.77392578125}, {"start": 3907.46, "end": 3908.0, "word": " الخاصية", "probability": 0.8873697916666666}, {"start": 3908.0, "end": 3908.14, "word": " اللي", "probability": 0.916748046875}, {"start": 3908.14, "end": 3908.36, "word": " احنا", "probability": 0.8997395833333334}, {"start": 3908.36, "end": 3908.66, "word": " لسه", "probability": 0.8562825520833334}, {"start": 3908.66, "end": 3909.58, "word": " ماخلصنهاش", "probability": 0.7420479910714286}, {"start": 3909.58, "end": 3910.0, "word": " هذه", "probability": 0.69482421875}, {"start": 3910.0, "end": 3910.74, "word": " بساوي", "probability": 0.74237060546875}, {"start": 3910.74, "end": 3910.94, "word": " E", "probability": 0.96240234375}, {"start": 3910.94, "end": 3911.4, "word": " للأول", "probability": 0.859375}, {"start": 3911.4, "end": 3911.74, "word": " زايد", "probability": 0.7150065104166666}, {"start": 3911.74, "end": 3912.06, "word": " في", "probability": 0.484619140625}, {"start": 3912.06, "end": 3912.28, "word": " E", "probability": 0.95703125}, {"start": 3912.28, "end": 3912.74, "word": " للتاني", "probability": 0.7818603515625}, {"start": 3912.74, "end": 3912.88, "word": " اللي", "probability": 0.874755859375}, {"start": 3912.88, "end": 3913.02, "word": " هي", "probability": 0.86328125}, {"start": 3913.02, "end": 3913.32, "word": " E", "probability": 0.97314453125}, {"start": 3913.32, "end": 3913.88, "word": " للأول", "probability": 0.9749348958333334}, {"start": 3913.88, "end": 3914.06, "word": " اللي", "probability": 0.96728515625}, {"start": 3914.06, "end": 3914.24, "word": " هو", "probability": 0.9580078125}, {"start": 3914.24, "end": 3914.98, "word": " KX", "probability": 0.812744140625}, {"start": 3914.98, "end": 3915.9, "word": " في", "probability": 0.8779296875}, {"start": 3915.9, "end": 3916.18, "word": " E", "probability": 0.99169921875}, {"start": 3916.18, "end": 3916.72, "word": " للتاني", "probability": 0.9774169921875}, {"start": 3916.72, "end": 3916.84, "word": " اللي", "probability": 0.98486328125}, {"start": 3916.84, "end": 3917.04, "word": " هي", "probability": 0.95556640625}, {"start": 3917.04, "end": 3917.96, "word": " EX", "probability": 0.939453125}, {"start": 3917.96, "end": 3918.6, "word": " ويساوي", "probability": 0.9390625}, {"start": 3918.6, "end": 3920.22, "word": " EKX", "probability": 0.7939453125}, {"start": 3920.22, "end": 3920.52, "word": " اللي", "probability": 0.972900390625}, {"start": 3920.52, "end": 3920.7, "word": " هو", "probability": 0.9697265625}, {"start": 3920.7, "end": 3921.04, "word": " E", "probability": 0.98583984375}, {"start": 3921.04, "end": 3921.3, "word": " of", "probability": 0.9580078125}, {"start": 3921.3, "end": 3921.58, "word": " X", "probability": 0.98583984375}, {"start": 3921.58, "end": 3921.82, "word": " أُس", "probability": 0.6363118489583334}, {"start": 3921.82, "end": 3921.92, "word": " K", "probability": 0.9794921875}, {"start": 3921.92, "end": 3922.2, "word": " لأنه", "probability": 0.8855794270833334}, {"start": 3922.2, "end": 3922.56, "word": " فرضينا", "probability": 0.8729248046875}, {"start": 3922.56, "end": 3922.78, "word": " أنا", "probability": 0.6240234375}, {"start": 3922.78, "end": 3923.24, "word": " صحيحة", "probability": 0.903515625}, {"start": 3923.24, "end": 3924.08, "word": " اللي", "probability": 0.6964111328125}, {"start": 3924.08, "end": 3924.62, "word": " هي", "probability": 0.8662109375}, {"start": 3924.62, "end": 3925.12, "word": " K", "probability": 0.974609375}, {"start": 3925.12, "end": 3925.6, "word": " بيصير", "probability": 0.7567138671875}, {"start": 3925.6, "end": 3925.94, "word": " عندي", "probability": 0.6728515625}, {"start": 3925.94, "end": 3926.42, "word": " E", "probability": 0.98876953125}, {"start": 3926.42, "end": 3927.0, "word": " of", "probability": 0.95849609375}, {"start": 3927.0, "end": 3927.5, "word": " X", "probability": 0.99658203125}, {"start": 3927.5, "end": 3928.24, "word": " أُس", "probability": 0.96923828125}, {"start": 3928.24, "end": 3928.62, "word": " K", "probability": 0.98681640625}, {"start": 3928.62, "end": 3929.22, "word": " في", "probability": 0.97509765625}, {"start": 3929.22, "end": 3929.72, "word": " E", "probability": 0.99609375}, {"start": 3929.72, "end": 3930.18, "word": " of", "probability": 0.96435546875}, {"start": 3930.18, "end": 3930.54, "word": " X", "probability": 0.99853515625}], "temperature": 1.0}, {"id": 176, "seek": 395392, "start": 3931.06, "end": 3953.92, "text": "و يساوي E of X الكل أُس K زائد واحد إذا صارت هذه is true for all N element in N طيب .. الآن شوف ما يليه نلاحظ ما يليه", "tokens": [2407, 7251, 3794, 995, 45865, 462, 295, 1783, 2423, 28820, 5551, 10859, 3794, 591, 30767, 16373, 3215, 36764, 24401, 11933, 15730, 20328, 9640, 2655, 29538, 307, 2074, 337, 439, 426, 4478, 294, 426, 23032, 1829, 3555, 4386, 6024, 48506, 13412, 38688, 19446, 7251, 20292, 3224, 8717, 15040, 5016, 19913, 19446, 7251, 20292, 3224], "avg_logprob": -0.3208912009442294, "compression_ratio": 1.2152777777777777, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 3931.06, "end": 3931.26, "word": "و", "probability": 0.29296875}, {"start": 3931.26, "end": 3931.76, "word": " يساوي", "probability": 0.72857666015625}, {"start": 3931.76, "end": 3932.2, "word": " E", "probability": 0.6728515625}, {"start": 3932.2, "end": 3932.62, "word": " of", "probability": 0.62353515625}, {"start": 3932.62, "end": 3933.12, "word": " X", "probability": 0.958984375}, {"start": 3933.12, "end": 3933.74, "word": " الكل", "probability": 0.60455322265625}, {"start": 3933.74, "end": 3934.1, "word": " أُ��", "probability": 0.5947265625}, {"start": 3934.1, "end": 3934.28, "word": " K", "probability": 0.7412109375}, {"start": 3934.28, "end": 3934.64, "word": " زائد", "probability": 0.8038736979166666}, {"start": 3934.64, "end": 3935.1, "word": " واحد", "probability": 0.861083984375}, {"start": 3935.1, "end": 3935.64, "word": " إذا", "probability": 0.936279296875}, {"start": 3935.64, "end": 3939.8, "word": " صارت", "probability": 0.8914388020833334}, {"start": 3939.8, "end": 3940.2, "word": " هذه", "probability": 0.796875}, {"start": 3940.2, "end": 3940.52, "word": " is", "probability": 0.5224609375}, {"start": 3940.52, "end": 3940.92, "word": " true", "probability": 0.9677734375}, {"start": 3940.92, "end": 3941.44, "word": " for", "probability": 0.9482421875}, {"start": 3941.44, "end": 3941.68, "word": " all", "probability": 0.6787109375}, {"start": 3941.68, "end": 3942.92, "word": " N", "probability": 0.42236328125}, {"start": 3942.92, "end": 3943.54, "word": " element", "probability": 0.456298828125}, {"start": 3943.54, "end": 3944.18, "word": " in", "probability": 0.9267578125}, {"start": 3944.18, "end": 3944.72, "word": " N", "probability": 0.95947265625}, {"start": 3944.72, "end": 3946.84, "word": " طيب", "probability": 0.8271484375}, {"start": 3946.84, "end": 3947.26, "word": " ..", "probability": 0.281982421875}, {"start": 3947.26, "end": 3948.46, "word": " الآن", "probability": 0.69384765625}, {"start": 3948.46, "end": 3949.58, "word": " شوف", "probability": 0.859130859375}, {"start": 3949.58, "end": 3949.88, "word": " ما", "probability": 0.70361328125}, {"start": 3949.88, "end": 3952.44, "word": " يليه", "probability": 0.7371419270833334}, {"start": 3952.44, "end": 3953.3, "word": " نلاحظ", "probability": 0.784271240234375}, {"start": 3953.3, "end": 3953.5, "word": " ما", "probability": 0.974609375}, {"start": 3953.5, "end": 3953.92, "word": " يليه", "probability": 0.982421875}], "temperature": 1.0}, {"id": 177, "seek": 398548, "start": 3962.46, "end": 3985.48, "text": "Lit x بتساوي ايش؟ واحدة على ان ناخد الـ x ايش بتساوي واحدة على ان؟ بتصير هذا E of واحد لأن ان في واحدة على ان واحد ال E of واحد رمزناها من رمز ايش يا جماعة؟ E وهذا اللي بدأ اصليه هذا رمزناها من رمز E وال E عبارة عن رقم ال E of واحد هي قيمة الدالة اللي تبعتنا عند اللي هي الواحد سمينها E", "tokens": [43, 270, 2031, 39894, 3794, 995, 45865, 1975, 1829, 8592, 22807, 36764, 24401, 3660, 15844, 16472, 8717, 47283, 3215, 2423, 39184, 2031, 1975, 1829, 8592, 39894, 3794, 995, 45865, 36764, 24401, 3660, 15844, 16472, 22807, 39894, 9381, 13546, 23758, 462, 295, 36764, 24401, 5296, 33456, 16472, 8978, 36764, 24401, 3660, 15844, 16472, 36764, 24401, 2423, 462, 295, 36764, 24401, 12602, 2304, 11622, 8315, 11296, 9154, 12602, 2304, 11622, 1975, 1829, 8592, 35186, 10874, 15042, 27884, 22807, 462, 37037, 15730, 13672, 1829, 47525, 10721, 1975, 9381, 20292, 3224, 23758, 12602, 2304, 11622, 8315, 11296, 9154, 12602, 2304, 11622, 462, 16070, 462, 6225, 3555, 9640, 3660, 18871, 12602, 4587, 2304, 2423, 462, 295, 36764, 24401, 39896, 12174, 32640, 3660, 32748, 6027, 3660, 13672, 1829, 6055, 3555, 34268, 8315, 43242, 13672, 1829, 39896, 2423, 14407, 24401, 8608, 2304, 9957, 11296, 462], "avg_logprob": -0.24685251091024002, "compression_ratio": 2.188340807174888, "no_speech_prob": 2.205371856689453e-06, "words": [{"start": 3962.46, "end": 3963.02, "word": "Lit", "probability": 0.2073974609375}, {"start": 3963.02, "end": 3963.26, "word": " x", "probability": 0.51806640625}, {"start": 3963.26, "end": 3963.74, "word": " بتساوي", "probability": 0.67791748046875}, {"start": 3963.74, "end": 3964.2, "word": " ايش؟", "probability": 0.658111572265625}, {"start": 3964.2, "end": 3964.54, "word": " واحدة", "probability": 0.681396484375}, {"start": 3964.54, "end": 3964.68, "word": " على", "probability": 0.59765625}, {"start": 3964.68, "end": 3964.8, "word": " ان", "probability": 0.3603515625}, {"start": 3964.8, "end": 3965.72, "word": " ناخد", "probability": 0.7771809895833334}, {"start": 3965.72, "end": 3965.84, "word": " الـ", "probability": 0.6536865234375}, {"start": 3965.84, "end": 3965.96, "word": " x", "probability": 0.5712890625}, {"start": 3965.96, "end": 3966.08, "word": " ايش", "probability": 0.7034098307291666}, {"start": 3966.08, "end": 3966.4, "word": " بتساوي", "probability": 0.96923828125}, {"start": 3966.4, "end": 3966.7, "word": " واحدة", "probability": 0.9853515625}, {"start": 3966.7, "end": 3966.78, "word": " على", "probability": 0.8818359375}, {"start": 3966.78, "end": 3967.38, "word": " ان؟", "probability": 0.627685546875}, {"start": 3967.38, "end": 3967.76, "word": " بتصير", "probability": 0.7283528645833334}, {"start": 3967.76, "end": 3968.02, "word": " هذا", "probability": 0.393310546875}, {"start": 3968.02, "end": 3968.46, "word": " E", "probability": 0.66796875}, {"start": 3968.46, "end": 3968.92, "word": " of", "probability": 0.89404296875}, {"start": 3968.92, "end": 3969.48, "word": " واحد", "probability": 0.9892578125}, {"start": 3969.48, "end": 3970.16, "word": " لأن", "probability": 0.70947265625}, {"start": 3970.16, "end": 3970.38, "word": " ان", "probability": 0.6083984375}, {"start": 3970.38, "end": 3970.54, "word": " في", "probability": 0.96142578125}, {"start": 3970.54, "end": 3970.8, "word": " واحدة", "probability": 0.9931640625}, {"start": 3970.8, "end": 3970.9, "word": " على", "probability": 0.685546875}, {"start": 3970.9, "end": 3971.02, "word": " ان", "probability": 0.89013671875}, {"start": 3971.02, "end": 3971.48, "word": " واحد", "probability": 0.98486328125}, {"start": 3971.48, "end": 3972.2, "word": " ال", "probability": 0.7587890625}, {"start": 3972.2, "end": 3972.38, "word": " E", "probability": 0.7734375}, {"start": 3972.38, "end": 3972.5, "word": " of", "probability": 0.935546875}, {"start": 3972.5, "end": 3972.72, "word": " واحد", "probability": 0.99462890625}, {"start": 3972.72, "end": 3973.22, "word": " رمزناها", "probability": 0.850146484375}, {"start": 3973.22, "end": 3973.36, "word": " من", "probability": 0.52099609375}, {"start": 3973.36, "end": 3973.64, "word": " رمز", "probability": 0.9462890625}, {"start": 3973.64, "end": 3973.84, "word": " ايش", "probability": 0.7312825520833334}, {"start": 3973.84, "end": 3973.94, "word": " يا", "probability": 0.98779296875}, {"start": 3973.94, "end": 3974.48, "word": " جماعة؟", "probability": 0.963134765625}, {"start": 3974.48, "end": 3974.82, "word": " E", "probability": 0.9267578125}, {"start": 3974.82, "end": 3975.5, "word": " وهذا", "probability": 0.57330322265625}, {"start": 3975.5, "end": 3975.58, "word": " اللي", "probability": 0.9794921875}, {"start": 3975.58, "end": 3975.74, "word": " بدأ", "probability": 0.449951171875}, {"start": 3975.74, "end": 3976.16, "word": " اصليه", "probability": 0.57586669921875}, {"start": 3976.16, "end": 3976.66, "word": " هذا", "probability": 0.5810546875}, {"start": 3976.66, "end": 3977.22, "word": " رمزناها", "probability": 0.9287109375}, {"start": 3977.22, "end": 3977.5, "word": " من", "probability": 0.97314453125}, {"start": 3977.5, "end": 3977.94, "word": " رمز", "probability": 0.9866536458333334}, {"start": 3977.94, "end": 3978.18, "word": " E", "probability": 0.9853515625}, {"start": 3978.18, "end": 3978.82, "word": " وال", "probability": 0.52587890625}, {"start": 3978.82, "end": 3979.0, "word": " E", "probability": 0.40869140625}, {"start": 3979.0, "end": 3979.3, "word": " عبارة", "probability": 0.974609375}, {"start": 3979.3, "end": 3979.46, "word": " عن", "probability": 0.9921875}, {"start": 3979.46, "end": 3980.1, "word": " رقم", "probability": 0.99462890625}, {"start": 3980.1, "end": 3980.54, "word": " ال", "probability": 0.9794921875}, {"start": 3980.54, "end": 3980.76, "word": " E", "probability": 0.98095703125}, {"start": 3980.76, "end": 3980.92, "word": " of", "probability": 0.95263671875}, {"start": 3980.92, "end": 3981.2, "word": " واحد", "probability": 0.995849609375}, {"start": 3981.2, "end": 3981.36, "word": " هي", "probability": 0.955078125}, {"start": 3981.36, "end": 3981.8, "word": " قيمة", "probability": 0.9962565104166666}, {"start": 3981.8, "end": 3982.42, "word": " الدالة", "probability": 0.9708658854166666}, {"start": 3982.42, "end": 3982.64, "word": " اللي", "probability": 0.766845703125}, {"start": 3982.64, "end": 3983.3, "word": " تبعتنا", "probability": 0.9656982421875}, {"start": 3983.3, "end": 3983.96, "word": " عند", "probability": 0.95556640625}, {"start": 3983.96, "end": 3984.22, "word": " اللي", "probability": 0.781982421875}, {"start": 3984.22, "end": 3984.44, "word": " هي", "probability": 0.8525390625}, {"start": 3984.44, "end": 3984.84, "word": " الواحد", "probability": 0.9763997395833334}, {"start": 3984.84, "end": 3985.26, "word": " سمينها", "probability": 0.837646484375}, {"start": 3985.26, "end": 3985.48, "word": " E", "probability": 0.9677734375}], "temperature": 1.0}, {"id": 178, "seek": 401032, "start": 3986.08, "end": 4010.32, "text": "الان E of N في 1 على N تساوي اللي هي عبارة عن ال X هذه اللي هي عبارة عن 1 على N E of 1 على N الكل اسمه أُس N يعني الآن عندي هذه ال X E N X بساوي E X أُس N X مين 1 على N E of 1 على N أُس N", "tokens": [6027, 7649, 462, 295, 426, 8978, 502, 15844, 426, 6055, 3794, 995, 45865, 13672, 1829, 39896, 6225, 3555, 9640, 3660, 18871, 2423, 1783, 29538, 13672, 1829, 39896, 6225, 3555, 9640, 3660, 18871, 502, 15844, 426, 462, 295, 502, 15844, 426, 2423, 28820, 24525, 2304, 3224, 5551, 10859, 3794, 426, 37495, 22653, 6024, 48506, 18871, 16254, 29538, 2423, 1783, 462, 426, 1783, 4724, 3794, 995, 45865, 462, 1783, 5551, 10859, 3794, 426, 1783, 3714, 1829, 1863, 502, 15844, 426, 462, 295, 502, 15844, 426, 5551, 10859, 3794, 426], "avg_logprob": -0.21235795674676244, "compression_ratio": 1.945578231292517, "no_speech_prob": 9.5367431640625e-07, "words": [{"start": 3986.08, "end": 3986.54, "word": "الان", "probability": 0.611572265625}, {"start": 3986.54, "end": 3987.06, "word": " E", "probability": 0.5908203125}, {"start": 3987.06, "end": 3987.64, "word": " of", "probability": 0.69580078125}, {"start": 3987.64, "end": 3988.1, "word": " N", "probability": 0.70654296875}, {"start": 3988.1, "end": 3988.36, "word": " في", "probability": 0.72802734375}, {"start": 3988.36, "end": 3988.72, "word": " 1", "probability": 0.65380859375}, {"start": 3988.72, "end": 3988.94, "word": " على", "probability": 0.63623046875}, {"start": 3988.94, "end": 3989.26, "word": " N", "probability": 0.9765625}, {"start": 3989.26, "end": 3990.04, "word": " تساوي", "probability": 0.923828125}, {"start": 3990.04, "end": 3990.96, "word": " اللي", "probability": 0.673828125}, {"start": 3990.96, "end": 3991.18, "word": " هي", "probability": 0.8583984375}, {"start": 3991.18, "end": 3991.62, "word": " عبارة", "probability": 0.98876953125}, {"start": 3991.62, "end": 3991.88, "word": " عن", "probability": 0.99658203125}, {"start": 3991.88, "end": 3992.38, "word": " ال", "probability": 0.71826171875}, {"start": 3992.38, "end": 3992.62, "word": " X", "probability": 0.8330078125}, {"start": 3992.62, "end": 3992.9, "word": " هذه", "probability": 0.58544921875}, {"start": 3992.9, "end": 3993.06, "word": " اللي", "probability": 0.94775390625}, {"start": 3993.06, "end": 3993.38, "word": " هي", "probability": 0.89990234375}, {"start": 3993.38, "end": 3993.88, "word": " عبارة", "probability": 0.9951171875}, {"start": 3993.88, "end": 3994.12, "word": " عن", "probability": 0.99267578125}, {"start": 3994.12, "end": 3994.44, "word": " 1", "probability": 0.85888671875}, {"start": 3994.44, "end": 3994.7, "word": " على", "probability": 0.87060546875}, {"start": 3994.7, "end": 3994.96, "word": " N", "probability": 0.9921875}, {"start": 3994.96, "end": 3995.52, "word": " E", "probability": 0.93017578125}, {"start": 3995.52, "end": 3995.68, "word": " of", "probability": 0.8955078125}, {"start": 3995.68, "end": 3995.88, "word": " 1", "probability": 0.9541015625}, {"start": 3995.88, "end": 3996.02, "word": " على", "probability": 0.8671875}, {"start": 3996.02, "end": 3996.18, "word": " N", "probability": 0.9912109375}, {"start": 3996.18, "end": 3996.48, "word": " الكل", "probability": 0.60205078125}, {"start": 3996.48, "end": 3997.04, "word": " اسمه", "probability": 0.9095052083333334}, {"start": 3997.04, "end": 3998.06, "word": " أُس", "probability": 0.7161458333333334}, {"start": 3998.06, "end": 3998.44, "word": " N", "probability": 0.87646484375}, {"start": 3998.44, "end": 4000.72, "word": " يعني", "probability": 0.938720703125}, {"start": 4000.72, "end": 4001.12, "word": " الآن", "probability": 0.664306640625}, {"start": 4001.12, "end": 4002.26, "word": " عندي", "probability": 0.7322998046875}, {"start": 4002.26, "end": 4002.68, "word": " هذه", "probability": 0.501953125}, {"start": 4002.68, "end": 4002.88, "word": " ال", "probability": 0.9375}, {"start": 4002.88, "end": 4003.2, "word": " X", "probability": 0.95166015625}, {"start": 4003.2, "end": 4003.74, "word": " E", "probability": 0.72412109375}, {"start": 4003.74, "end": 4004.08, "word": " N", "probability": 0.320556640625}, {"start": 4004.08, "end": 4004.44, "word": " X", "probability": 0.91796875}, {"start": 4004.44, "end": 4005.04, "word": " بساوي", "probability": 0.8648681640625}, {"start": 4005.04, "end": 4006.32, "word": " E", "probability": 0.77880859375}, {"start": 4006.32, "end": 4006.84, "word": " X", "probability": 0.92724609375}, {"start": 4006.84, "end": 4007.18, "word": " أُس", "probability": 0.96630859375}, {"start": 4007.18, "end": 4007.42, "word": " N", "probability": 0.994140625}, {"start": 4007.42, "end": 4007.84, "word": " X", "probability": 0.85546875}, {"start": 4007.84, "end": 4008.16, "word": " مين", "probability": 0.4140625}, {"start": 4008.16, "end": 4008.38, "word": " 1", "probability": 0.65283203125}, {"start": 4008.38, "end": 4008.56, "word": " على", "probability": 0.8701171875}, {"start": 4008.56, "end": 4008.7, "word": " N", "probability": 0.984375}, {"start": 4008.7, "end": 4008.92, "word": " E", "probability": 0.95458984375}, {"start": 4008.92, "end": 4009.1, "word": " of", "probability": 0.75146484375}, {"start": 4009.1, "end": 4009.28, "word": " 1", "probability": 0.97509765625}, {"start": 4009.28, "end": 4009.42, "word": " على", "probability": 0.91552734375}, {"start": 4009.42, "end": 4009.56, "word": " N", "probability": 0.994140625}, {"start": 4009.56, "end": 4010.0, "word": " أُس", "probability": 0.9793294270833334}, {"start": 4010.0, "end": 4010.32, "word": " N", "probability": 0.9404296875}], "temperature": 1.0}, {"id": 179, "seek": 403681, "start": 4010.85, "end": 4036.81, "text": "إذا صار عندى الآن هي هذا القيمة بساوية هذا إذا بمعنى آخر E of واحدة الان بساوية E العدد أس واحد على N هذا الان E of واحدة الان بساوية E أس واحد على N الآن من جهة أخرى لو جيت E أس minus M", "tokens": [28814, 15730, 20328, 9640, 43242, 7578, 6024, 48506, 39896, 23758, 25062, 32640, 3660, 4724, 3794, 995, 2407, 10632, 23758, 11933, 15730, 4724, 2304, 3615, 1863, 7578, 19753, 34740, 462, 295, 36764, 24401, 3660, 2423, 7649, 4724, 3794, 995, 2407, 10632, 462, 18863, 3215, 3215, 5551, 3794, 36764, 24401, 15844, 426, 23758, 2423, 7649, 462, 295, 36764, 24401, 3660, 2423, 7649, 4724, 3794, 995, 2407, 10632, 462, 5551, 3794, 36764, 24401, 15844, 426, 6024, 48506, 9154, 10874, 3224, 3660, 5551, 34740, 7578, 45164, 10874, 36081, 462, 5551, 3794, 3175, 376], "avg_logprob": -0.21597221493721008, "compression_ratio": 1.9197530864197532, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 4010.85, "end": 4011.17, "word": "إذا", "probability": 0.6331787109375}, {"start": 4011.17, "end": 4011.49, "word": " صار", "probability": 0.82275390625}, {"start": 4011.49, "end": 4011.87, "word": " عندى", "probability": 0.71337890625}, {"start": 4011.87, "end": 4012.19, "word": " الآن", "probability": 0.6192626953125}, {"start": 4012.19, "end": 4012.79, "word": " هي", "probability": 0.302490234375}, {"start": 4012.79, "end": 4013.21, "word": " هذا", "probability": 0.95361328125}, {"start": 4013.21, "end": 4014.19, "word": " القيمة", "probability": 0.9703776041666666}, {"start": 4014.19, "end": 4014.99, "word": " بساوية", "probability": 0.756982421875}, {"start": 4014.99, "end": 4015.33, "word": " هذا", "probability": 0.91943359375}, {"start": 4015.33, "end": 4016.01, "word": " إذا", "probability": 0.7197265625}, {"start": 4016.01, "end": 4017.43, "word": " بمعنى", "probability": 0.97353515625}, {"start": 4017.43, "end": 4017.93, "word": " آخر", "probability": 0.844970703125}, {"start": 4017.93, "end": 4018.19, "word": " E", "probability": 0.61279296875}, {"start": 4018.19, "end": 4018.33, "word": " of", "probability": 0.334228515625}, {"start": 4018.33, "end": 4018.75, "word": " واحدة", "probability": 0.782470703125}, {"start": 4018.75, "end": 4019.01, "word": " الان", "probability": 0.635498046875}, {"start": 4019.01, "end": 4019.55, "word": " بساوية", "probability": 0.939453125}, {"start": 4019.55, "end": 4019.81, "word": " E", "probability": 0.7763671875}, {"start": 4019.81, "end": 4020.55, "word": " العدد", "probability": 0.8946940104166666}, {"start": 4020.55, "end": 4021.01, "word": " أس", "probability": 0.66943359375}, {"start": 4021.01, "end": 4021.59, "word": " واحد", "probability": 0.977294921875}, {"start": 4021.59, "end": 4022.03, "word": " على", "probability": 0.383544921875}, {"start": 4022.03, "end": 4022.29, "word": " N", "probability": 0.6015625}, {"start": 4022.29, "end": 4022.89, "word": " هذا", "probability": 0.436279296875}, {"start": 4022.89, "end": 4024.01, "word": " الان", "probability": 0.77978515625}, {"start": 4024.01, "end": 4025.31, "word": " E", "probability": 0.91845703125}, {"start": 4025.31, "end": 4025.51, "word": " of", "probability": 0.94921875}, {"start": 4025.51, "end": 4025.83, "word": " واحدة", "probability": 0.9933268229166666}, {"start": 4025.83, "end": 4025.99, "word": " الان", "probability": 0.922119140625}, {"start": 4025.99, "end": 4027.01, "word": " بساوية", "probability": 0.94599609375}, {"start": 4027.01, "end": 4027.41, "word": " E", "probability": 0.9111328125}, {"start": 4027.41, "end": 4027.95, "word": " أس", "probability": 0.917236328125}, {"start": 4027.95, "end": 4028.55, "word": " واحد", "probability": 0.9912109375}, {"start": 4028.55, "end": 4029.15, "word": " على", "probability": 0.845703125}, {"start": 4029.15, "end": 4029.51, "word": " N", "probability": 0.96533203125}, {"start": 4029.51, "end": 4030.69, "word": " الآن", "probability": 0.7073974609375}, {"start": 4030.69, "end": 4031.75, "word": " من", "probability": 0.6123046875}, {"start": 4031.75, "end": 4032.37, "word": " جهة", "probability": 0.9796549479166666}, {"start": 4032.37, "end": 4033.59, "word": " أخرى", "probability": 0.9892578125}, {"start": 4033.59, "end": 4034.05, "word": " لو", "probability": 0.7626953125}, {"start": 4034.05, "end": 4034.61, "word": " جيت", "probability": 0.789794921875}, {"start": 4034.61, "end": 4035.05, "word": " E", "probability": 0.98095703125}, {"start": 4035.05, "end": 4035.95, "word": " أس", "probability": 0.893798828125}, {"start": 4035.95, "end": 4036.35, "word": " minus", "probability": 0.84033203125}, {"start": 4036.35, "end": 4036.81, "word": " M", "probability": 0.9111328125}], "temperature": 1.0}, {"id": 180, "seek": 405800, "start": 4038.22, "end": 4058.0, "text": "هتساوي واحد على E أُس M خد ال E of M ناقص M اللي هي بيساوي E of Zero اللي هي بيساوي واحد صح وإيه ساوي E of M", "tokens": [3224, 2655, 3794, 995, 45865, 36764, 24401, 15844, 462, 5551, 10859, 3794, 376, 16490, 3215, 2423, 462, 295, 376, 8717, 995, 4587, 9381, 376, 13672, 1829, 39896, 4724, 1829, 3794, 995, 45865, 462, 295, 17182, 13672, 1829, 39896, 4724, 1829, 3794, 995, 45865, 36764, 24401, 20328, 5016, 4032, 28814, 1829, 3224, 8608, 995, 45865, 462, 295, 376], "avg_logprob": -0.2576778145699665, "compression_ratio": 1.5178571428571428, "no_speech_prob": 0.00010186433792114258, "words": [{"start": 4038.22, "end": 4039.02, "word": "هتساوي", "probability": 0.684716796875}, {"start": 4039.02, "end": 4039.46, "word": " واحد", "probability": 0.7861328125}, {"start": 4039.46, "end": 4039.66, "word": " على", "probability": 0.51708984375}, {"start": 4039.66, "end": 4039.9, "word": " E", "probability": 0.6650390625}, {"start": 4039.9, "end": 4040.22, "word": " أُس", "probability": 0.6062825520833334}, {"start": 4040.22, "end": 4040.46, "word": " M", "probability": 0.88134765625}, {"start": 4040.46, "end": 4043.7, "word": " خد", "probability": 0.69873046875}, {"start": 4043.7, "end": 4046.76, "word": " ال", "probability": 0.712890625}, {"start": 4046.76, "end": 4047.38, "word": " E", "probability": 0.94580078125}, {"start": 4047.38, "end": 4048.88, "word": " of", "probability": 0.701171875}, {"start": 4048.88, "end": 4049.28, "word": " M", "probability": 0.86669921875}, {"start": 4049.28, "end": 4049.76, "word": " ناقص", "probability": 0.909423828125}, {"start": 4049.76, "end": 4050.08, "word": " M", "probability": 0.962890625}, {"start": 4050.08, "end": 4051.02, "word": " اللي", "probability": 0.566650390625}, {"start": 4051.02, "end": 4051.14, "word": " هي", "probability": 0.498779296875}, {"start": 4051.14, "end": 4051.48, "word": " بيساوي", "probability": 0.83359375}, {"start": 4051.48, "end": 4051.66, "word": " E", "probability": 0.9365234375}, {"start": 4051.66, "end": 4051.84, "word": " of", "probability": 0.9248046875}, {"start": 4051.84, "end": 4052.26, "word": " Zero", "probability": 0.72509765625}, {"start": 4052.26, "end": 4053.3, "word": " اللي", "probability": 0.9443359375}, {"start": 4053.3, "end": 4053.46, "word": " هي", "probability": 0.82177734375}, {"start": 4053.46, "end": 4053.86, "word": " بيساوي", "probability": 0.97578125}, {"start": 4053.86, "end": 4054.28, "word": " واحد", "probability": 0.981689453125}, {"start": 4054.28, "end": 4054.84, "word": " صح", "probability": 0.77099609375}, {"start": 4054.84, "end": 4055.7, "word": " وإيه", "probability": 0.6756591796875}, {"start": 4055.7, "end": 4056.06, "word": " ساوي", "probability": 0.9228515625}, {"start": 4056.06, "end": 4057.26, "word": " E", "probability": 0.8203125}, {"start": 4057.26, "end": 4057.58, "word": " of", "probability": 0.96875}, {"start": 4057.58, "end": 4058.0, "word": " M", "probability": 0.994140625}], "temperature": 1.0}, {"id": 181, "seek": 408756, "start": 4058.82, "end": 4087.56, "text": "في E of ناقص M حسب الخاصية اللي هي زائد ناقص M هذه X وهذه ال Y E الأولى في E التانية الان صار عندى هذا المقدار بساوي واحد يعني إذا E of ناقص M بساوي بنجل هدهان واحد على E of M إذا صارت عندى E of ناقص M بساوي واحد على E of M وال E of M ال E of M", "tokens": [41185, 462, 295, 8717, 995, 4587, 9381, 376, 11331, 35457, 33962, 33546, 10632, 13672, 1829, 39896, 30767, 16373, 3215, 8717, 995, 4587, 9381, 376, 29538, 1783, 37037, 24192, 2423, 398, 462, 16247, 12610, 7578, 8978, 462, 16712, 7649, 10632, 2423, 7649, 20328, 9640, 43242, 7578, 23758, 9673, 28543, 9640, 4724, 3794, 995, 45865, 36764, 24401, 37495, 22653, 11933, 15730, 462, 295, 8717, 995, 4587, 9381, 376, 4724, 3794, 995, 45865, 44945, 7435, 1211, 8032, 3215, 3224, 7649, 36764, 24401, 15844, 462, 295, 376, 11933, 15730, 20328, 9640, 2655, 43242, 7578, 462, 295, 8717, 995, 4587, 9381, 376, 4724, 3794, 995, 45865, 36764, 24401, 15844, 462, 295, 376, 16070, 462, 295, 376, 2423, 462, 295, 376], "avg_logprob": -0.18736530801859394, "compression_ratio": 2.0962566844919786, "no_speech_prob": 2.3126602172851562e-05, "words": [{"start": 4058.82, "end": 4059.12, "word": "في", "probability": 0.425537109375}, {"start": 4059.12, "end": 4059.36, "word": " E", "probability": 0.6669921875}, {"start": 4059.36, "end": 4059.62, "word": " of", "probability": 0.6611328125}, {"start": 4059.62, "end": 4060.16, "word": " ناقص", "probability": 0.770294189453125}, {"start": 4060.16, "end": 4060.42, "word": " M", "probability": 0.88525390625}, {"start": 4060.42, "end": 4061.02, "word": " حسب", "probability": 0.931640625}, {"start": 4061.02, "end": 4061.7, "word": " الخاصية", "probability": 0.98486328125}, {"start": 4061.7, "end": 4062.32, "word": " اللي", "probability": 0.572021484375}, {"start": 4062.32, "end": 4062.52, "word": " هي", "probability": 0.9638671875}, {"start": 4062.52, "end": 4063.4, "word": " زائد", "probability": 0.7066243489583334}, {"start": 4063.4, "end": 4064.38, "word": " ناقص", "probability": 0.9791259765625}, {"start": 4064.38, "end": 4064.54, "word": " M", "probability": 0.97802734375}, {"start": 4064.54, "end": 4064.76, "word": " هذه", "probability": 0.46240234375}, {"start": 4064.76, "end": 4065.04, "word": " X", "probability": 0.8876953125}, {"start": 4065.04, "end": 4065.32, "word": " وهذه", "probability": 0.736083984375}, {"start": 4065.32, "end": 4065.42, "word": " ال", "probability": 0.625}, {"start": 4065.42, "end": 4065.62, "word": " Y", "probability": 0.8701171875}, {"start": 4065.62, "end": 4065.9, "word": " E", "probability": 0.7236328125}, {"start": 4065.9, "end": 4066.52, "word": " الأولى", "probability": 0.9318033854166666}, {"start": 4066.52, "end": 4066.82, "word": " في", "probability": 0.9208984375}, {"start": 4066.82, "end": 4067.0, "word": " E", "probability": 0.935546875}, {"start": 4067.0, "end": 4067.52, "word": " التانية", "probability": 0.9153645833333334}, {"start": 4067.52, "end": 4068.22, "word": " الان", "probability": 0.55877685546875}, {"start": 4068.22, "end": 4068.44, "word": " صار", "probability": 0.93017578125}, {"start": 4068.44, "end": 4068.78, "word": " عندى", "probability": 0.681884765625}, {"start": 4068.78, "end": 4069.06, "word": " هذا", "probability": 0.9150390625}, {"start": 4069.06, "end": 4069.76, "word": " المقدار", "probability": 0.8894856770833334}, {"start": 4069.76, "end": 4070.16, "word": " بساوي", "probability": 0.8494873046875}, {"start": 4070.16, "end": 4070.7, "word": " واحد", "probability": 0.862548828125}, {"start": 4070.7, "end": 4071.5, "word": " يعني", "probability": 0.858154296875}, {"start": 4071.5, "end": 4071.92, "word": " إذا", "probability": 0.742431640625}, {"start": 4071.92, "end": 4073.36, "word": " E", "probability": 0.78857421875}, {"start": 4073.36, "end": 4074.14, "word": " of", "probability": 0.91552734375}, {"start": 4074.14, "end": 4074.76, "word": " ناقص", "probability": 0.9896240234375}, {"start": 4074.76, "end": 4075.12, "word": " M", "probability": 0.99267578125}, {"start": 4075.12, "end": 4076.36, "word": " بساوي", "probability": 0.9378662109375}, {"start": 4076.36, "end": 4077.04, "word": " بنجل", "probability": 0.7610677083333334}, {"start": 4077.04, "end": 4077.6, "word": " هدهان", "probability": 0.6519775390625}, {"start": 4077.6, "end": 4078.14, "word": " واحد", "probability": 0.941162109375}, {"start": 4078.14, "end": 4078.34, "word": " على", "probability": 0.57568359375}, {"start": 4078.34, "end": 4078.84, "word": " E", "probability": 0.9677734375}, {"start": 4078.84, "end": 4079.78, "word": " of", "probability": 0.9482421875}, {"start": 4079.78, "end": 4080.06, "word": " M", "probability": 0.98681640625}, {"start": 4080.06, "end": 4080.78, "word": " إذا", "probability": 0.8720703125}, {"start": 4080.78, "end": 4081.2, "word": " صارت", "probability": 0.9090169270833334}, {"start": 4081.2, "end": 4081.56, "word": " عندى", "probability": 0.881103515625}, {"start": 4081.56, "end": 4081.78, "word": " E", "probability": 0.98583984375}, {"start": 4081.78, "end": 4081.98, "word": " of", "probability": 0.93798828125}, {"start": 4081.98, "end": 4082.42, "word": " ناقص", "probability": 0.994140625}, {"start": 4082.42, "end": 4082.72, "word": " M", "probability": 0.99462890625}, {"start": 4082.72, "end": 4083.26, "word": " بساوي", "probability": 0.9375}, {"start": 4083.26, "end": 4083.7, "word": " واحد", "probability": 0.98388671875}, {"start": 4083.7, "end": 4083.92, "word": " على", "probability": 0.845703125}, {"start": 4083.92, "end": 4084.2, "word": " E", "probability": 0.99169921875}, {"start": 4084.2, "end": 4084.44, "word": " of", "probability": 0.9599609375}, {"start": 4084.44, "end": 4084.7, "word": " M", "probability": 0.998046875}, {"start": 4084.7, "end": 4085.3, "word": " وال", "probability": 0.478515625}, {"start": 4085.3, "end": 4085.6, "word": " E", "probability": 0.82421875}, {"start": 4085.6, "end": 4085.88, "word": " of", "probability": 0.98046875}, {"start": 4085.88, "end": 4086.24, "word": " M", "probability": 0.99853515625}, {"start": 4086.24, "end": 4086.9, "word": " ال", "probability": 0.415771484375}, {"start": 4086.9, "end": 4087.08, "word": " E", "probability": 0.9775390625}, {"start": 4087.08, "end": 4087.28, "word": " of", "probability": 0.98046875}, {"start": 4087.28, "end": 4087.56, "word": " M", "probability": 0.99853515625}], "temperature": 1.0}, {"id": 182, "seek": 411578, "start": 4087.9, "end": 4115.78, "text": "من فوق E of M هذا X بواحد يعني بيساوي E of واحد أُس M يعني عبارة عن E أُس M وهي فوق إيش واحد الآن هذه اللي هو عدد عادي اللي هو E مرفوع للأُس M اللي هو نفسه E to the minus M لأن هذه معلومة قديمة لذا انصار عندي الآن E of minus M بيساوي E أُس ماقص M وال E أُس واحد على N بيساوي E", "tokens": [27842, 6156, 30543, 462, 295, 376, 23758, 1783, 4724, 14407, 24401, 37495, 22653, 4724, 1829, 3794, 995, 45865, 462, 295, 36764, 24401, 5551, 10859, 3794, 376, 37495, 22653, 6225, 3555, 9640, 3660, 18871, 462, 5551, 10859, 3794, 376, 37037, 1829, 6156, 30543, 11933, 1829, 8592, 36764, 24401, 6024, 48506, 29538, 13672, 1829, 31439, 6225, 3215, 3215, 6225, 995, 16254, 13672, 1829, 31439, 462, 3714, 28480, 45367, 24976, 10721, 10859, 3794, 376, 13672, 1829, 31439, 8717, 36178, 3224, 462, 281, 264, 3175, 376, 5296, 33456, 29538, 20449, 1211, 20498, 3660, 12174, 16254, 46007, 5296, 15730, 16472, 9381, 9640, 18871, 16254, 6024, 48506, 462, 295, 3175, 376, 4724, 1829, 3794, 995, 45865, 462, 5551, 10859, 3794, 19446, 4587, 9381, 376, 16070, 462, 5551, 10859, 3794, 36764, 24401, 15844, 426, 4724, 1829, 3794, 995, 45865, 462], "avg_logprob": -0.21128730609345792, "compression_ratio": 1.9559471365638768, "no_speech_prob": 1.3709068298339844e-06, "words": [{"start": 4087.9, "end": 4088.22, "word": "من", "probability": 0.85595703125}, {"start": 4088.22, "end": 4088.7, "word": " فوق", "probability": 0.96875}, {"start": 4088.7, "end": 4088.94, "word": " E", "probability": 0.60888671875}, {"start": 4088.94, "end": 4089.12, "word": " of", "probability": 0.53466796875}, {"start": 4089.12, "end": 4089.36, "word": " M", "probability": 0.9638671875}, {"start": 4089.36, "end": 4089.64, "word": " هذا", "probability": 0.16357421875}, {"start": 4089.64, "end": 4089.94, "word": " X", "probability": 0.87451171875}, {"start": 4089.94, "end": 4090.32, "word": " بواحد", "probability": 0.85498046875}, {"start": 4090.32, "end": 4090.66, "word": " يعني", "probability": 0.913330078125}, {"start": 4090.66, "end": 4091.44, "word": " بيساوي", "probability": 0.736669921875}, {"start": 4091.44, "end": 4091.74, "word": " E", "probability": 0.97021484375}, {"start": 4091.74, "end": 4091.92, "word": " of", "probability": 0.8173828125}, {"start": 4091.92, "end": 4092.32, "word": " واحد", "probability": 0.912109375}, {"start": 4092.32, "end": 4092.74, "word": " أُس", "probability": 0.64599609375}, {"start": 4092.74, "end": 4092.96, "word": " M", "probability": 0.98095703125}, {"start": 4092.96, "end": 4093.84, "word": " يعني", "probability": 0.941650390625}, {"start": 4093.84, "end": 4094.28, "word": " عبارة", "probability": 0.9937744140625}, {"start": 4094.28, "end": 4094.5, "word": " عن", "probability": 0.986328125}, {"start": 4094.5, "end": 4094.9, "word": " E", "probability": 0.98095703125}, {"start": 4094.9, "end": 4095.2, "word": " أُس", "probability": 0.94189453125}, {"start": 4095.2, "end": 4095.36, "word": " M", "probability": 0.9873046875}, {"start": 4095.36, "end": 4095.6, "word": " وهي", "probability": 0.4417724609375}, {"start": 4095.6, "end": 4095.84, "word": " فوق", "probability": 0.90869140625}, {"start": 4095.84, "end": 4096.24, "word": " إيش", "probability": 0.531982421875}, {"start": 4096.24, "end": 4096.78, "word": " واحد", "probability": 0.869140625}, {"start": 4096.78, "end": 4097.62, "word": " الآن", "probability": 0.6256103515625}, {"start": 4097.62, "end": 4098.18, "word": " هذه", "probability": 0.69921875}, {"start": 4098.18, "end": 4098.62, "word": " اللي", "probability": 0.96728515625}, {"start": 4098.62, "end": 4098.86, "word": " هو", "probability": 0.9013671875}, {"start": 4098.86, "end": 4099.5, "word": " عدد", "probability": 0.9845377604166666}, {"start": 4099.5, "end": 4100.2, "word": " عادي", "probability": 0.9021809895833334}, {"start": 4100.2, "end": 4100.48, "word": " اللي", "probability": 0.970703125}, {"start": 4100.48, "end": 4100.68, "word": " هو", "probability": 0.93603515625}, {"start": 4100.68, "end": 4100.86, "word": " E", "probability": 0.93359375}, {"start": 4100.86, "end": 4101.18, "word": " مرفوع", "probability": 0.9104817708333334}, {"start": 4101.18, "end": 4101.56, "word": " للأُس", "probability": 0.7623291015625}, {"start": 4101.56, "end": 4101.78, "word": " M", "probability": 0.98046875}, {"start": 4101.78, "end": 4102.6, "word": " اللي", "probability": 0.81201171875}, {"start": 4102.6, "end": 4102.92, "word": " هو", "probability": 0.9296875}, {"start": 4102.92, "end": 4103.36, "word": " نفسه", "probability": 0.919921875}, {"start": 4103.36, "end": 4103.52, "word": " E", "probability": 0.9638671875}, {"start": 4103.52, "end": 4103.66, "word": " to", "probability": 0.93408203125}, {"start": 4103.66, "end": 4103.8, "word": " the", "probability": 0.89794921875}, {"start": 4103.8, "end": 4104.08, "word": " minus", "probability": 0.90380859375}, {"start": 4104.08, "end": 4104.3, "word": " M", "probability": 0.9912109375}, {"start": 4104.3, "end": 4104.5, "word": " لأن", "probability": 0.837158203125}, {"start": 4104.5, "end": 4104.66, "word": " هذه", "probability": 0.65771484375}, {"start": 4104.66, "end": 4105.04, "word": " معلومة", "probability": 0.9688720703125}, {"start": 4105.04, "end": 4105.88, "word": " قديمة", "probability": 0.97607421875}, {"start": 4105.88, "end": 4106.14, "word": " لذا", "probability": 0.553466796875}, {"start": 4106.14, "end": 4106.38, "word": " انصار", "probability": 0.646240234375}, {"start": 4106.38, "end": 4106.66, "word": " عندي", "probability": 0.641845703125}, {"start": 4106.66, "end": 4107.0, "word": " الآن", "probability": 0.72314453125}, {"start": 4107.0, "end": 4107.36, "word": " E", "probability": 0.98193359375}, {"start": 4107.36, "end": 4107.52, "word": " of", "probability": 0.92822265625}, {"start": 4107.52, "end": 4107.84, "word": " minus", "probability": 0.94580078125}, {"start": 4107.84, "end": 4108.18, "word": " M", "probability": 0.99658203125}, {"start": 4108.18, "end": 4108.74, "word": " بيساوي", "probability": 0.962890625}, {"start": 4108.74, "end": 4109.1, "word": " E", "probability": 0.99267578125}, {"start": 4109.1, "end": 4109.34, "word": " أُس", "probability": 0.8912760416666666}, {"start": 4109.34, "end": 4109.62, "word": " ماقص", "probability": 0.551513671875}, {"start": 4109.62, "end": 4109.92, "word": " M", "probability": 0.9658203125}, {"start": 4109.92, "end": 4110.72, "word": " وال", "probability": 0.34521484375}, {"start": 4110.72, "end": 4111.26, "word": " E", "probability": 0.6279296875}, {"start": 4111.26, "end": 4114.24, "word": " أُس", "probability": 0.9767252604166666}, {"start": 4114.24, "end": 4114.68, "word": " واحد", "probability": 0.931884765625}, {"start": 4114.68, "end": 4114.82, "word": " على", "probability": 0.7568359375}, {"start": 4114.82, "end": 4115.04, "word": " N", "probability": 0.818359375}, {"start": 4115.04, "end": 4115.5, "word": " بيساوي", "probability": 0.98017578125}, {"start": 4115.5, "end": 4115.78, "word": " E", "probability": 0.99609375}], "temperature": 1.0}, {"id": 183, "seek": 414452, "start": 4116.28, "end": 4144.52, "text": "أُس واحد على N نجي الآن احنا غايتنا مين؟ E of R الـ R إيش اللي نقدر نكتبها؟ الـ R في الـ Q إذا الـ R بتنكتب على صورة M على N إذا نخد R في اللي نمتني Q إذا there exists M و N اي واحدة في زد واحدة في N صحيح ده؟ R بتساوي M على N بتثبتلك إن E of M على N بساوي E to the M على N شوف كيف", "tokens": [10721, 10859, 3794, 36764, 24401, 15844, 426, 8717, 7435, 1829, 6024, 48506, 1975, 5016, 8315, 32771, 995, 36081, 8315, 3714, 9957, 22807, 462, 295, 497, 2423, 39184, 497, 11933, 1829, 8592, 13672, 1829, 8717, 28543, 2288, 8717, 4117, 2655, 3555, 11296, 22807, 2423, 39184, 497, 8978, 2423, 39184, 1249, 11933, 15730, 2423, 39184, 497, 39894, 1863, 4117, 2655, 3555, 15844, 20328, 13063, 3660, 376, 15844, 426, 11933, 15730, 8717, 9778, 3215, 497, 8978, 13672, 1829, 8717, 2304, 2655, 22653, 1249, 11933, 15730, 456, 8198, 376, 4032, 426, 1975, 1829, 36764, 24401, 3660, 8978, 30767, 3215, 36764, 24401, 3660, 8978, 426, 20328, 5016, 1829, 5016, 11778, 3224, 22807, 497, 39894, 3794, 995, 45865, 376, 15844, 426, 39894, 12984, 3555, 2655, 23275, 36145, 462, 295, 376, 15844, 426, 4724, 3794, 995, 45865, 462, 281, 264, 376, 15844, 426, 13412, 38688, 9122, 33911], "avg_logprob": -0.3113918397443514, "compression_ratio": 1.861344537815126, "no_speech_prob": 2.6226043701171875e-06, "words": [{"start": 4116.28, "end": 4116.7, "word": "أُس", "probability": 0.4180501302083333}, {"start": 4116.7, "end": 4117.36, "word": " واحد", "probability": 0.8291015625}, {"start": 4117.36, "end": 4117.58, "word": " على", "probability": 0.8173828125}, {"start": 4117.58, "end": 4117.92, "word": " N", "probability": 0.288330078125}, {"start": 4117.92, "end": 4123.46, "word": " نجي", "probability": 0.5035400390625}, {"start": 4123.46, "end": 4123.7, "word": " الآن", "probability": 0.6173095703125}, {"start": 4123.7, "end": 4123.9, "word": " احنا", "probability": 0.7043863932291666}, {"start": 4123.9, "end": 4124.36, "word": " غايتنا", "probability": 0.7923583984375}, {"start": 4124.36, "end": 4125.18, "word": " مين؟", "probability": 0.7112630208333334}, {"start": 4125.18, "end": 4125.32, "word": " E", "probability": 0.50341796875}, {"start": 4125.32, "end": 4125.52, "word": " of", "probability": 0.57763671875}, {"start": 4125.52, "end": 4125.8, "word": " R", "probability": 0.96728515625}, {"start": 4125.8, "end": 4126.04, "word": " الـ", "probability": 0.608154296875}, {"start": 4126.04, "end": 4126.2, "word": " R", "probability": 0.54638671875}, {"start": 4126.2, "end": 4126.44, "word": " إيش", "probability": 0.7272135416666666}, {"start": 4126.44, "end": 4126.54, "word": " اللي", "probability": 0.70556640625}, {"start": 4126.54, "end": 4126.78, "word": " نقدر", "probability": 0.7333170572916666}, {"start": 4126.78, "end": 4127.82, "word": " نكتبها؟", "probability": 0.9619140625}, {"start": 4127.82, "end": 4128.04, "word": " الـ", "probability": 0.934326171875}, {"start": 4128.04, "end": 4128.16, "word": " R", "probability": 0.8115234375}, {"start": 4128.16, "end": 4128.28, "word": " في", "probability": 0.82958984375}, {"start": 4128.28, "end": 4128.42, "word": " الـ", "probability": 0.93359375}, {"start": 4128.42, "end": 4128.64, "word": " Q", "probability": 0.79638671875}, {"start": 4128.64, "end": 4128.94, "word": " إذا", "probability": 0.82421875}, {"start": 4128.94, "end": 4129.16, "word": " الـ", "probability": 0.932861328125}, {"start": 4129.16, "end": 4129.32, "word": " R", "probability": 0.9208984375}, {"start": 4129.32, "end": 4129.82, "word": " بتنكتب", "probability": 0.865625}, {"start": 4129.82, "end": 4129.98, "word": " على", "probability": 0.9287109375}, {"start": 4129.98, "end": 4130.3, "word": " صورة", "probability": 0.98486328125}, {"start": 4130.3, "end": 4130.64, "word": " M", "probability": 0.939453125}, {"start": 4130.64, "end": 4131.26, "word": " على", "probability": 0.8828125}, {"start": 4131.26, "end": 4131.54, "word": " N", "probability": 0.98583984375}, {"start": 4131.54, "end": 4131.9, "word": " إذا", "probability": 0.9423828125}, {"start": 4131.9, "end": 4132.24, "word": " نخد", "probability": 0.8212890625}, {"start": 4132.24, "end": 4132.54, "word": " R", "probability": 0.65234375}, {"start": 4132.54, "end": 4132.74, "word": " في", "probability": 0.89453125}, {"start": 4132.74, "end": 4132.84, "word": " اللي", "probability": 0.9501953125}, {"start": 4132.84, "end": 4133.22, "word": " نمتني", "probability": 0.4443359375}, {"start": 4133.22, "end": 4133.52, "word": " Q", "probability": 0.91796875}, {"start": 4133.52, "end": 4133.98, "word": " إذا", "probability": 0.868408203125}, {"start": 4133.98, "end": 4134.18, "word": " there", "probability": 0.443359375}, {"start": 4134.18, "end": 4134.52, "word": " exists", "probability": 0.5009765625}, {"start": 4134.52, "end": 4134.78, "word": " M", "probability": 0.93212890625}, {"start": 4134.78, "end": 4134.92, "word": " و", "probability": 0.9609375}, {"start": 4134.92, "end": 4135.08, "word": " N", "probability": 0.88037109375}, {"start": 4135.08, "end": 4135.26, "word": " اي", "probability": 0.3543701171875}, {"start": 4135.26, "end": 4135.56, "word": " واحدة", "probability": 0.8642578125}, {"start": 4135.56, "end": 4135.68, "word": " في", "probability": 0.96923828125}, {"start": 4135.68, "end": 4135.94, "word": " زد", "probability": 0.7205810546875}, {"start": 4135.94, "end": 4136.24, "word": " واحدة", "probability": 0.8818359375}, {"start": 4136.24, "end": 4136.36, "word": " في", "probability": 0.958984375}, {"start": 4136.36, "end": 4136.52, "word": " N", "probability": 0.50244140625}, {"start": 4136.52, "end": 4136.84, "word": " صحيح", "probability": 0.73077392578125}, {"start": 4136.84, "end": 4137.24, "word": " ده؟", "probability": 0.6298014322916666}, {"start": 4137.24, "end": 4137.98, "word": " R", "probability": 0.80078125}, {"start": 4137.98, "end": 4138.52, "word": " بتساوي", "probability": 0.750244140625}, {"start": 4138.52, "end": 4138.82, "word": " M", "probability": 0.94970703125}, {"start": 4138.82, "end": 4138.96, "word": " على", "probability": 0.8916015625}, {"start": 4138.96, "end": 4139.14, "word": " N", "probability": 0.98876953125}, {"start": 4139.14, "end": 4139.72, "word": " بتثبتلك", "probability": 0.7365234375}, {"start": 4139.72, "end": 4139.88, "word": " إن", "probability": 0.71142578125}, {"start": 4139.88, "end": 4140.18, "word": " E", "probability": 0.90673828125}, {"start": 4140.18, "end": 4140.34, "word": " of", "probability": 0.92431640625}, {"start": 4140.34, "end": 4140.54, "word": " M", "probability": 0.99072265625}, {"start": 4140.54, "end": 4140.68, "word": " على", "probability": 0.89599609375}, {"start": 4140.68, "end": 4140.92, "word": " N", "probability": 0.98779296875}, {"start": 4140.92, "end": 4141.38, "word": " بساوي", "probability": 0.8450927734375}, {"start": 4141.38, "end": 4141.74, "word": " E", "probability": 0.970703125}, {"start": 4141.74, "end": 4142.24, "word": " to", "probability": 0.92724609375}, {"start": 4142.24, "end": 4142.4, "word": " the", "probability": 0.81982421875}, {"start": 4142.4, "end": 4142.74, "word": " M", "probability": 0.99072265625}, {"start": 4142.74, "end": 4143.32, "word": " على", "probability": 0.9423828125}, {"start": 4143.32, "end": 4143.76, "word": " N", "probability": 0.935546875}, {"start": 4143.76, "end": 4144.3, "word": " شوف", "probability": 0.935546875}, {"start": 4144.3, "end": 4144.52, "word": " كيف", "probability": 0.9755859375}], "temperature": 1.0}, {"id": 184, "seek": 416335, "start": 4146.44, "end": 4163.36, "text": "E of M على N ايش هيساوي E أُس واحدة ل N الكل A شماله أُس M أُس M E of واحدة ل N أُس M مين اللي شرعلي اللي هو", "tokens": [36, 295, 376, 15844, 426, 1975, 1829, 8592, 39896, 3794, 995, 45865, 462, 5551, 10859, 3794, 36764, 24401, 3660, 5296, 426, 2423, 28820, 316, 13412, 2304, 6027, 3224, 5551, 10859, 3794, 376, 5551, 10859, 3794, 376, 462, 295, 36764, 24401, 3660, 5296, 426, 5551, 10859, 3794, 376, 3714, 9957, 13672, 1829, 13412, 2288, 3615, 20292, 13672, 1829, 31439], "avg_logprob": -0.2607256406444614, "compression_ratio": 1.5405405405405406, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 4146.44, "end": 4146.82, "word": "E", "probability": 0.7607421875}, {"start": 4146.82, "end": 4147.16, "word": " of", "probability": 0.309814453125}, {"start": 4147.16, "end": 4147.42, "word": " M", "probability": 0.9453125}, {"start": 4147.42, "end": 4147.62, "word": " على", "probability": 0.5859375}, {"start": 4147.62, "end": 4147.92, "word": " N", "probability": 0.98193359375}, {"start": 4147.92, "end": 4148.9, "word": " ايش", "probability": 0.5955810546875}, {"start": 4148.9, "end": 4149.5, "word": " هيساوي", "probability": 0.78955078125}, {"start": 4149.5, "end": 4151.12, "word": " E", "probability": 0.546875}, {"start": 4151.12, "end": 4151.76, "word": " أُس", "probability": 0.6316731770833334}, {"start": 4151.76, "end": 4152.28, "word": " واحدة", "probability": 0.8671875}, {"start": 4152.28, "end": 4152.4, "word": " ل", "probability": 0.78369140625}, {"start": 4152.4, "end": 4152.58, "word": " N", "probability": 0.398193359375}, {"start": 4152.58, "end": 4152.96, "word": " الكل", "probability": 0.711181640625}, {"start": 4152.96, "end": 4153.2, "word": " A", "probability": 0.430419921875}, {"start": 4153.2, "end": 4153.8, "word": " شماله", "probability": 0.931640625}, {"start": 4153.8, "end": 4155.04, "word": " أُس", "probability": 0.82080078125}, {"start": 4155.04, "end": 4155.46, "word": " M", "probability": 0.95166015625}, {"start": 4155.46, "end": 4157.14, "word": " أُس", "probability": 0.750732421875}, {"start": 4157.14, "end": 4157.62, "word": " M", "probability": 0.978515625}, {"start": 4157.62, "end": 4158.68, "word": " E", "probability": 0.80908203125}, {"start": 4158.68, "end": 4158.96, "word": " of", "probability": 0.73193359375}, {"start": 4158.96, "end": 4159.38, "word": " واحدة", "probability": 0.9765625}, {"start": 4159.38, "end": 4159.52, "word": " ل", "probability": 0.94677734375}, {"start": 4159.52, "end": 4159.82, "word": " N", "probability": 0.89501953125}, {"start": 4159.82, "end": 4160.34, "word": " أُس", "probability": 0.9724934895833334}, {"start": 4160.34, "end": 4160.58, "word": " M", "probability": 0.9853515625}, {"start": 4160.58, "end": 4161.4, "word": " مين", "probability": 0.840576171875}, {"start": 4161.4, "end": 4161.56, "word": " اللي", "probability": 0.886474609375}, {"start": 4161.56, "end": 4162.14, "word": " شرعلي", "probability": 0.8555908203125}, {"start": 4162.14, "end": 4163.04, "word": " اللي", "probability": 0.868896484375}, {"start": 4163.04, "end": 4163.36, "word": " هو", "probability": 0.98681640625}], "temperature": 1.0}, {"id": 185, "seek": 419364, "start": 4164.53, "end": 4193.65, "text": "عندي اللي هي E-M و هي سالبة طلعت E أص مينس M و اللي شرعلي E و واحدة ل N و N مودبة هي E أص واحد على N فبصير عندي الأن E أص M على N أص M على N بساوي E أص واحد على N هذه اللي جوا الكل أسمين الكل أص M ماشي الحال هو يساوي E", "tokens": [3615, 1863, 16254, 13672, 1829, 39896, 462, 12, 44, 4032, 39896, 8608, 6027, 49401, 23032, 1211, 34268, 462, 5551, 9381, 3714, 9957, 3794, 376, 4032, 13672, 1829, 13412, 2288, 3615, 20292, 462, 4032, 36764, 24401, 3660, 5296, 426, 4032, 426, 3714, 23328, 49401, 39896, 462, 5551, 9381, 36764, 24401, 15844, 426, 6156, 3555, 9381, 13546, 18871, 16254, 16247, 1863, 462, 5551, 9381, 376, 15844, 426, 5551, 9381, 376, 15844, 426, 4724, 3794, 995, 45865, 462, 5551, 9381, 36764, 24401, 15844, 426, 29538, 13672, 1829, 10874, 14407, 2423, 28820, 5551, 38251, 9957, 2423, 28820, 5551, 9381, 376, 3714, 33599, 1829, 21542, 6027, 31439, 7251, 3794, 995, 45865, 462], "avg_logprob": -0.22598380153929745, "compression_ratio": 2.057471264367816, "no_speech_prob": 1.2159347534179688e-05, "words": [{"start": 4164.53, "end": 4165.19, "word": "عندي", "probability": 0.7584635416666666}, {"start": 4165.19, "end": 4165.53, "word": " اللي", "probability": 0.6158447265625}, {"start": 4165.53, "end": 4165.85, "word": " هي", "probability": 0.9091796875}, {"start": 4165.85, "end": 4166.07, "word": " E", "probability": 0.428955078125}, {"start": 4166.07, "end": 4166.83, "word": "-M", "probability": 0.6123046875}, {"start": 4166.83, "end": 4167.29, "word": " و", "probability": 0.546875}, {"start": 4167.29, "end": 4167.49, "word": " هي", "probability": 0.60595703125}, {"start": 4167.49, "end": 4168.13, "word": " سالبة", "probability": 0.8719075520833334}, {"start": 4168.13, "end": 4168.87, "word": " طلعت", "probability": 0.736083984375}, {"start": 4168.87, "end": 4169.19, "word": " E", "probability": 0.94287109375}, {"start": 4169.19, "end": 4169.47, "word": " أص", "probability": 0.4075927734375}, {"start": 4169.47, "end": 4169.99, "word": " مينس", "probability": 0.474609375}, {"start": 4169.99, "end": 4170.23, "word": " M", "probability": 0.73876953125}, {"start": 4170.23, "end": 4171.13, "word": " و", "probability": 0.6953125}, {"start": 4171.13, "end": 4171.29, "word": " اللي", "probability": 0.909423828125}, {"start": 4171.29, "end": 4171.89, "word": " شرعلي", "probability": 0.8250732421875}, {"start": 4171.89, "end": 4172.11, "word": " E", "probability": 0.93994140625}, {"start": 4172.11, "end": 4172.27, "word": " و", "probability": 0.4814453125}, {"start": 4172.27, "end": 4172.63, "word": " واحدة", "probability": 0.7676595052083334}, {"start": 4172.63, "end": 4172.73, "word": " ل", "probability": 0.87890625}, {"start": 4172.73, "end": 4172.93, "word": " N", "probability": 0.69921875}, {"start": 4172.93, "end": 4173.21, "word": " و", "probability": 0.927734375}, {"start": 4173.21, "end": 4173.41, "word": " N", "probability": 0.58056640625}, {"start": 4173.41, "end": 4173.87, "word": " مودبة", "probability": 0.9275716145833334}, {"start": 4173.87, "end": 4174.11, "word": " هي", "probability": 0.8662109375}, {"start": 4174.11, "end": 4174.31, "word": " E", "probability": 0.95361328125}, {"start": 4174.31, "end": 4174.53, "word": " أص", "probability": 0.774658203125}, {"start": 4174.53, "end": 4175.05, "word": " واحد", "probability": 0.990234375}, {"start": 4175.05, "end": 4175.81, "word": " على", "probability": 0.77294921875}, {"start": 4175.81, "end": 4176.51, "word": " N", "probability": 0.9638671875}, {"start": 4176.51, "end": 4177.53, "word": " فبصير", "probability": 0.9100341796875}, {"start": 4177.53, "end": 4177.91, "word": " عندي", "probability": 0.805419921875}, {"start": 4177.91, "end": 4178.37, "word": " الأن", "probability": 0.640380859375}, {"start": 4178.37, "end": 4179.07, "word": " E", "probability": 0.97119140625}, {"start": 4179.07, "end": 4179.41, "word": " أص", "probability": 0.90673828125}, {"start": 4179.41, "end": 4179.69, "word": " M", "probability": 0.96484375}, {"start": 4179.69, "end": 4179.93, "word": " على", "probability": 0.8623046875}, {"start": 4179.93, "end": 4180.35, "word": " N", "probability": 0.9853515625}, {"start": 4180.35, "end": 4181.13, "word": " أص", "probability": 0.666259765625}, {"start": 4181.13, "end": 4181.29, "word": " M", "probability": 0.98486328125}, {"start": 4181.29, "end": 4181.43, "word": " على", "probability": 0.9140625}, {"start": 4181.43, "end": 4181.65, "word": " N", "probability": 0.99267578125}, {"start": 4181.65, "end": 4182.55, "word": " بساوي", "probability": 0.9180908203125}, {"start": 4182.55, "end": 4183.09, "word": " E", "probability": 0.98876953125}, {"start": 4183.09, "end": 4183.93, "word": " أص", "probability": 0.972412109375}, {"start": 4183.93, "end": 4184.35, "word": " واحد", "probability": 0.990966796875}, {"start": 4184.35, "end": 4184.53, "word": " على", "probability": 0.685546875}, {"start": 4184.53, "end": 4184.77, "word": " N", "probability": 0.9873046875}, {"start": 4184.77, "end": 4185.07, "word": " هذه", "probability": 0.62158203125}, {"start": 4185.07, "end": 4185.25, "word": " اللي", "probability": 0.977783203125}, {"start": 4185.25, "end": 4185.57, "word": " جوا", "probability": 0.80126953125}, {"start": 4185.57, "end": 4185.97, "word": " الكل", "probability": 0.798095703125}, {"start": 4185.97, "end": 4186.65, "word": " أسمين", "probability": 0.884765625}, {"start": 4186.65, "end": 4187.77, "word": " الكل", "probability": 0.906982421875}, {"start": 4187.77, "end": 4188.45, "word": " أص", "probability": 0.920166015625}, {"start": 4188.45, "end": 4188.87, "word": " M", "probability": 0.9765625}, {"start": 4188.87, "end": 4189.69, "word": " ماشي", "probability": 0.8876953125}, {"start": 4189.69, "end": 4190.07, "word": " الحال", "probability": 0.96484375}, {"start": 4190.07, "end": 4192.11, "word": " هو", "probability": 0.485595703125}, {"start": 4192.11, "end": 4192.67, "word": " يساوي", "probability": 0.974365234375}, {"start": 4192.67, "end": 4193.65, "word": " E", "probability": 0.97607421875}], "temperature": 1.0}, {"id": 186, "seek": 422421, "start": 4198.01, "end": 4224.21, "text": "هذه شرعات لإي و واحدة الان كل اس ام وهذا عدد عادي الان وهذا عدد عادية بيصير اي أس ام عالميا على ان و هذه بيكون عندي اي أس اي او ام على ان بساوي اللي هو عبارة عن اي أس ام على ان و ام على ان was our arbitral rational number اذا صار عندي اي أس ار بساوي اي أس ار", "tokens": [3224, 24192, 13412, 2288, 3615, 9307, 5296, 28814, 1829, 4032, 36764, 24401, 3660, 2423, 7649, 28242, 24525, 1975, 2304, 37037, 15730, 6225, 3215, 3215, 6225, 995, 16254, 2423, 7649, 37037, 15730, 6225, 3215, 3215, 6225, 18513, 10632, 4724, 1829, 9381, 13546, 1975, 1829, 5551, 3794, 1975, 2304, 6225, 45340, 25528, 15844, 16472, 4032, 29538, 4724, 1829, 30544, 43242, 1829, 1975, 1829, 5551, 3794, 1975, 1829, 1975, 2407, 1975, 2304, 15844, 16472, 4724, 3794, 995, 45865, 13672, 1829, 31439, 6225, 3555, 9640, 3660, 18871, 1975, 1829, 5551, 3794, 1975, 2304, 15844, 16472, 4032, 1975, 2304, 15844, 16472, 390, 527, 14931, 2155, 15090, 1230, 1975, 15730, 20328, 9640, 43242, 1829, 1975, 1829, 5551, 3794, 1975, 2288, 4724, 3794, 995, 45865, 1975, 1829, 5551, 3794, 1975, 2288], "avg_logprob": -0.38299998950958253, "compression_ratio": 2.108910891089109, "no_speech_prob": 1.6510486602783203e-05, "words": [{"start": 4198.009999999999, "end": 4198.65, "word": "هذه", "probability": 0.341461181640625}, {"start": 4198.65, "end": 4199.17, "word": " شرعات", "probability": 0.68499755859375}, {"start": 4199.17, "end": 4199.47, "word": " لإي", "probability": 0.4576009114583333}, {"start": 4199.47, "end": 4199.57, "word": " و", "probability": 0.7939453125}, {"start": 4199.57, "end": 4199.85, "word": " واحدة", "probability": 0.7517903645833334}, {"start": 4199.85, "end": 4200.03, "word": " الان", "probability": 0.61181640625}, {"start": 4200.03, "end": 4200.31, "word": " كل", "probability": 0.53271484375}, {"start": 4200.31, "end": 4200.49, "word": " اس", "probability": 0.307861328125}, {"start": 4200.49, "end": 4200.73, "word": " ام", "probability": 0.7176513671875}, {"start": 4200.73, "end": 4201.57, "word": " وهذا", "probability": 0.5582275390625}, {"start": 4201.57, "end": 4203.27, "word": " عدد", "probability": 0.7950846354166666}, {"start": 4203.27, "end": 4203.73, "word": " عادي", "probability": 0.9161783854166666}, {"start": 4203.73, "end": 4204.51, "word": " الان", "probability": 0.7144775390625}, {"start": 4204.51, "end": 4204.75, "word": " وهذا", "probability": 0.4384765625}, {"start": 4204.75, "end": 4205.07, "word": " عدد", "probability": 0.9381510416666666}, {"start": 4205.07, "end": 4205.71, "word": " عادية", "probability": 0.8522135416666666}, {"start": 4205.71, "end": 4206.13, "word": " بيصير", "probability": 0.684326171875}, {"start": 4206.13, "end": 4206.37, "word": " اي", "probability": 0.83447265625}, {"start": 4206.37, "end": 4206.51, "word": " أس", "probability": 0.536376953125}, {"start": 4206.51, "end": 4206.87, "word": " ام", "probability": 0.91357421875}, {"start": 4206.87, "end": 4207.65, "word": " عالميا", "probability": 0.6968587239583334}, {"start": 4207.65, "end": 4208.35, "word": " على", "probability": 0.52685546875}, {"start": 4208.35, "end": 4208.57, "word": " ان", "probability": 0.6083984375}, {"start": 4208.57, "end": 4208.73, "word": " و", "probability": 0.48193359375}, {"start": 4208.73, "end": 4209.05, "word": " هذه", "probability": 0.406494140625}, {"start": 4209.05, "end": 4209.39, "word": " بيكون", "probability": 0.83056640625}, {"start": 4209.39, "end": 4209.79, "word": " عندي", "probability": 0.4908447265625}, {"start": 4209.79, "end": 4210.11, "word": " اي", "probability": 0.900390625}, {"start": 4210.11, "end": 4210.39, "word": " أس", "probability": 0.6336669921875}, {"start": 4210.39, "end": 4211.59, "word": " اي", "probability": 0.9423828125}, {"start": 4211.59, "end": 4212.05, "word": " او", "probability": 0.452392578125}, {"start": 4212.05, "end": 4212.41, "word": " ام", "probability": 0.856201171875}, {"start": 4212.41, "end": 4212.65, "word": " على", "probability": 0.66357421875}, {"start": 4212.65, "end": 4212.99, "word": " ان", "probability": 0.85400390625}, {"start": 4212.99, "end": 4214.11, "word": " بساوي", "probability": 0.8760986328125}, {"start": 4214.11, "end": 4214.43, "word": " اللي", "probability": 0.87353515625}, {"start": 4214.43, "end": 4214.85, "word": " هو", "probability": 0.93310546875}, {"start": 4214.85, "end": 4216.19, "word": " عبارة", "probability": 0.9664306640625}, {"start": 4216.19, "end": 4216.43, "word": " عن", "probability": 0.97705078125}, {"start": 4216.43, "end": 4216.75, "word": " اي", "probability": 0.9501953125}, {"start": 4216.75, "end": 4216.97, "word": " أس", "probability": 0.82177734375}, {"start": 4216.97, "end": 4217.19, "word": " ام", "probability": 0.931640625}, {"start": 4217.19, "end": 4217.33, "word": " على", "probability": 0.873046875}, {"start": 4217.33, "end": 4217.63, "word": " ان", "probability": 0.8974609375}, {"start": 4217.63, "end": 4217.83, "word": " و", "probability": 0.7275390625}, {"start": 4217.83, "end": 4218.01, "word": " ام", "probability": 0.68603515625}, {"start": 4218.01, "end": 4218.17, "word": " على", "probability": 0.86767578125}, {"start": 4218.17, "end": 4218.41, "word": " ان", "probability": 0.8896484375}, {"start": 4218.41, "end": 4218.69, "word": " was", "probability": 0.2310791015625}, {"start": 4218.69, "end": 4218.87, "word": " our", "probability": 0.6708984375}, {"start": 4218.87, "end": 4219.23, "word": " arbitral", "probability": 0.45703125}, {"start": 4219.23, "end": 4219.55, "word": " rational", "probability": 0.654296875}, {"start": 4219.55, "end": 4220.03, "word": " number", "probability": 0.9765625}, {"start": 4220.03, "end": 4220.55, "word": " اذا", "probability": 0.723876953125}, {"start": 4220.55, "end": 4220.83, "word": " صار", "probability": 0.61962890625}, {"start": 4220.83, "end": 4221.19, "word": " عندي", "probability": 0.557861328125}, {"start": 4221.19, "end": 4221.41, "word": " اي", "probability": 0.918701171875}, {"start": 4221.41, "end": 4221.55, "word": " أس", "probability": 0.6363525390625}, {"start": 4221.55, "end": 4221.71, "word": " ار", "probability": 0.79443359375}, {"start": 4221.71, "end": 4222.17, "word": " بساوي", "probability": 0.880615234375}, {"start": 4222.17, "end": 4223.37, "word": " اي", "probability": 0.959228515625}, {"start": 4223.37, "end": 4223.77, "word": " أس", "probability": 0.9072265625}, {"start": 4223.77, "end": 4224.21, "word": " ار", "probability": 0.888671875}], "temperature": 1.0}, {"id": 187, "seek": 425434, "start": 4229.4, "end": 4254.34, "text": "نجي الآن للنظرية اللي هي تمانية تلاتة سبعة اللي هي النظرية الأخيرة في اللي هي الحديث عن اللي هو ال exponential function و بعدها طبعا بنحكي عن اللي هو ال logarithmic function بس خلينا الآن نحكي عالميا انكمل نظريتنا على ال exponential function بنشوف", "tokens": [1863, 7435, 1829, 6024, 48506, 24976, 1863, 19913, 2288, 10632, 13672, 1829, 39896, 46811, 7649, 10632, 6055, 1211, 9307, 3660, 8608, 3555, 27884, 13672, 1829, 39896, 28239, 19913, 2288, 10632, 16247, 9778, 48923, 8978, 13672, 1829, 39896, 21542, 16254, 12984, 18871, 13672, 1829, 31439, 2423, 21510, 2445, 4032, 39182, 11296, 23032, 3555, 3615, 995, 44945, 5016, 4117, 1829, 18871, 13672, 1829, 31439, 2423, 41473, 355, 13195, 2445, 4724, 3794, 16490, 1211, 9957, 995, 6024, 48506, 8717, 5016, 4117, 1829, 6225, 45340, 25528, 16472, 24793, 1211, 8717, 19913, 16572, 2655, 8315, 15844, 2423, 21510, 2445, 44945, 8592, 38688], "avg_logprob": -0.16772959077236604, "compression_ratio": 1.9898989898989898, "no_speech_prob": 1.0848045349121094e-05, "words": [{"start": 4229.400000000001, "end": 4230.3, "word": "نجي", "probability": 0.6041666666666666}, {"start": 4230.3, "end": 4230.68, "word": " الآن", "probability": 0.685302734375}, {"start": 4230.68, "end": 4231.9, "word": " للنظرية", "probability": 0.9330078125}, {"start": 4231.9, "end": 4232.2, "word": " اللي", "probability": 0.455078125}, {"start": 4232.2, "end": 4232.48, "word": " هي", "probability": 0.95263671875}, {"start": 4232.48, "end": 4233.06, "word": " تمانية", "probability": 0.7320963541666666}, {"start": 4233.06, "end": 4233.7, "word": " تلاتة", "probability": 0.8558349609375}, {"start": 4233.7, "end": 4234.16, "word": " سبعة", "probability": 0.9534505208333334}, {"start": 4234.16, "end": 4235.0, "word": " اللي", "probability": 0.9140625}, {"start": 4235.0, "end": 4235.16, "word": " هي", "probability": 0.9609375}, {"start": 4235.16, "end": 4235.68, "word": " النظرية", "probability": 0.9810791015625}, {"start": 4235.68, "end": 4236.3, "word": " الأخيرة", "probability": 0.9700520833333334}, {"start": 4236.3, "end": 4236.8, "word": " في", "probability": 0.7919921875}, {"start": 4236.8, "end": 4237.18, "word": " اللي", "probability": 0.931396484375}, {"start": 4237.18, "end": 4237.54, "word": " هي", "probability": 0.919921875}, {"start": 4237.54, "end": 4239.04, "word": " الحديث", "probability": 0.9833984375}, {"start": 4239.04, "end": 4239.48, "word": " عن", "probability": 0.9853515625}, {"start": 4239.48, "end": 4239.72, "word": " اللي", "probability": 0.927001953125}, {"start": 4239.72, "end": 4239.88, "word": " هو", "probability": 0.9853515625}, {"start": 4239.88, "end": 4239.98, "word": " ال", "probability": 0.84521484375}, {"start": 4239.98, "end": 4240.32, "word": " exponential", "probability": 0.60595703125}, {"start": 4240.32, "end": 4241.1, "word": " function", "probability": 0.970703125}, {"start": 4241.1, "end": 4242.28, "word": " و", "probability": 0.6044921875}, {"start": 4242.28, "end": 4242.9, "word": " بعدها", "probability": 0.928466796875}, {"start": 4242.9, "end": 4243.66, "word": " طبعا", "probability": 0.9796142578125}, {"start": 4243.66, "end": 4244.52, "word": " بنحكي", "probability": 0.9368896484375}, {"start": 4244.52, "end": 4244.74, "word": " عن", "probability": 0.97021484375}, {"start": 4244.74, "end": 4244.98, "word": " اللي", "probability": 0.9892578125}, {"start": 4244.98, "end": 4245.26, "word": " هو", "probability": 0.99462890625}, {"start": 4245.26, "end": 4245.5, "word": " ال", "probability": 0.70849609375}, {"start": 4245.5, "end": 4246.0, "word": " logarithmic", "probability": 0.9244791666666666}, {"start": 4246.0, "end": 4246.36, "word": " function", "probability": 0.9658203125}, {"start": 4246.36, "end": 4246.56, "word": " بس", "probability": 0.96240234375}, {"start": 4246.56, "end": 4246.94, "word": " خلينا", "probability": 0.7554931640625}, {"start": 4246.94, "end": 4247.26, "word": " الآن", "probability": 0.6307373046875}, {"start": 4247.26, "end": 4247.6, "word": " نحكي", "probability": 0.990478515625}, {"start": 4247.6, "end": 4248.06, "word": " عالميا", "probability": 0.9388020833333334}, {"start": 4248.06, "end": 4249.2, "word": " انكمل", "probability": 0.7445475260416666}, {"start": 4249.2, "end": 4250.1, "word": " نظريتنا", "probability": 0.965234375}, {"start": 4250.1, "end": 4250.5, "word": " على", "probability": 0.859375}, {"start": 4250.5, "end": 4250.88, "word": " ال", "probability": 0.95849609375}, {"start": 4250.88, "end": 4251.52, "word": " exponential", "probability": 0.94970703125}, {"start": 4251.52, "end": 4253.24, "word": " function", "probability": 0.970703125}, {"start": 4253.24, "end": 4254.34, "word": " بنشوف", "probability": 0.8056640625}], "temperature": 1.0}, {"id": 188, "seek": 428466, "start": 4255.54, "end": 4284.66, "text": "الأن بقولي الـ exponential function E is strictly increasing on R يعني الـ derivative إلها أكبر من سفر ماشي؟ and this range اللي هو Y المتنرسج ده Y أكبر من سفر يعني الـ E هتكون بالظبط ده اللي من R بتصب إلى R positive إلى R positive يعني عبارة عن Zero", "tokens": [6027, 33456, 4724, 39648, 1829, 2423, 39184, 21510, 2445, 462, 307, 20792, 5662, 322, 497, 37495, 22653, 2423, 39184, 13760, 11933, 1211, 11296, 5551, 4117, 26890, 9154, 8608, 5172, 2288, 3714, 33599, 1829, 22807, 293, 341, 3613, 13672, 1829, 31439, 398, 9673, 2655, 1863, 2288, 3794, 7435, 11778, 3224, 398, 5551, 4117, 26890, 9154, 8608, 5172, 2288, 37495, 22653, 2423, 39184, 462, 8032, 2655, 30544, 20666, 19913, 3555, 9566, 11778, 3224, 13672, 1829, 9154, 497, 39894, 9381, 3555, 30731, 497, 3353, 30731, 497, 3353, 37495, 22653, 6225, 3555, 9640, 3660, 18871, 17182], "avg_logprob": -0.2938508128607145, "compression_ratio": 1.5884955752212389, "no_speech_prob": 1.9073486328125e-06, "words": [{"start": 4255.54, "end": 4255.94, "word": "الأن", "probability": 0.5810546875}, {"start": 4255.94, "end": 4256.4, "word": " بقولي", "probability": 0.64306640625}, {"start": 4256.4, "end": 4256.54, "word": " الـ", "probability": 0.5340576171875}, {"start": 4256.54, "end": 4257.12, "word": " exponential", "probability": 0.63330078125}, {"start": 4257.12, "end": 4257.86, "word": " function", "probability": 0.84814453125}, {"start": 4257.86, "end": 4258.42, "word": " E", "probability": 0.352294921875}, {"start": 4258.42, "end": 4259.46, "word": " is", "probability": 0.369140625}, {"start": 4259.46, "end": 4260.24, "word": " strictly", "probability": 0.861328125}, {"start": 4260.24, "end": 4261.3, "word": " increasing", "probability": 0.951171875}, {"start": 4261.3, "end": 4261.68, "word": " on", "probability": 0.91015625}, {"start": 4261.68, "end": 4262.0, "word": " R", "probability": 0.8349609375}, {"start": 4262.0, "end": 4263.1, "word": " يعني", "probability": 0.902099609375}, {"start": 4263.1, "end": 4263.32, "word": " الـ", "probability": 0.702392578125}, {"start": 4263.32, "end": 4263.7, "word": " derivative", "probability": 0.767578125}, {"start": 4263.7, "end": 4264.2, "word": " إلها", "probability": 0.6338704427083334}, {"start": 4264.2, "end": 4264.6, "word": " أكبر", "probability": 0.9715169270833334}, {"start": 4264.6, "end": 4264.84, "word": " من", "probability": 0.9951171875}, {"start": 4264.84, "end": 4265.2, "word": " سفر", "probability": 0.7018229166666666}, {"start": 4265.2, "end": 4266.62, "word": " ماشي؟", "probability": 0.6103515625}, {"start": 4266.62, "end": 4267.0, "word": " and", "probability": 0.81103515625}, {"start": 4267.0, "end": 4267.54, "word": " this", "probability": 0.1455078125}, {"start": 4267.54, "end": 4268.26, "word": " range", "probability": 0.87890625}, {"start": 4268.26, "end": 4269.12, "word": " اللي", "probability": 0.794677734375}, {"start": 4269.12, "end": 4269.54, "word": " هو", "probability": 0.953125}, {"start": 4269.54, "end": 4270.16, "word": " Y", "probability": 0.552734375}, {"start": 4270.16, "end": 4270.9, "word": " المتنرسج", "probability": 0.6452229817708334}, {"start": 4270.9, "end": 4271.08, "word": " ده", "probability": 0.602783203125}, {"start": 4271.08, "end": 4271.46, "word": " Y", "probability": 0.2880859375}, {"start": 4271.46, "end": 4271.74, "word": " أكبر", "probability": 0.96875}, {"start": 4271.74, "end": 4271.86, "word": " من", "probability": 0.96484375}, {"start": 4271.86, "end": 4272.06, "word": " سفر", "probability": 0.9599609375}, {"start": 4272.06, "end": 4272.42, "word": " يعني", "probability": 0.958984375}, {"start": 4272.42, "end": 4272.72, "word": " الـ", "probability": 0.8955078125}, {"start": 4272.72, "end": 4273.04, "word": " E", "probability": 0.80615234375}, {"start": 4273.04, "end": 4274.12, "word": " هتكون", "probability": 0.8844401041666666}, {"start": 4274.12, "end": 4274.84, "word": " بالظبط", "probability": 0.9666748046875}, {"start": 4274.84, "end": 4275.2, "word": " ده", "probability": 0.80078125}, {"start": 4275.2, "end": 4275.38, "word": " اللي", "probability": 0.934814453125}, {"start": 4275.38, "end": 4276.12, "word": " من", "probability": 0.974609375}, {"start": 4276.12, "end": 4276.72, "word": " R", "probability": 0.94775390625}, {"start": 4276.72, "end": 4277.9, "word": " بتصب", "probability": 0.8115234375}, {"start": 4277.9, "end": 4278.32, "word": " إلى", "probability": 0.92822265625}, {"start": 4278.32, "end": 4278.94, "word": " R", "probability": 0.9560546875}, {"start": 4278.94, "end": 4280.06, "word": " positive", "probability": 0.83056640625}, {"start": 4280.06, "end": 4281.12, "word": " إلى", "probability": 0.56201171875}, {"start": 4281.12, "end": 4281.78, "word": " R", "probability": 0.9560546875}, {"start": 4281.78, "end": 4282.52, "word": " positive", "probability": 0.93505859375}, {"start": 4282.52, "end": 4283.28, "word": " يعني", "probability": 0.98095703125}, {"start": 4283.28, "end": 4283.78, "word": " عبارة", "probability": 0.99755859375}, {"start": 4283.78, "end": 4284.08, "word": " عن", "probability": 0.99609375}, {"start": 4284.08, "end": 4284.66, "word": " Zero", "probability": 0.62109375}], "temperature": 1.0}, {"id": 189, "seek": 430751, "start": 4285.65, "end": 4307.51, "text": "ومالة نهاية هي التي هي range دالة range دالة هذه هي من سفر إلى مالة نهاية لأن كتابة على سورة function is on to طيب مش هيك limit E of X لما X تروح لسالب مالة نهاية بتساوي سفر and limit E of X لما X تروح لمالة نهاية ايش بتساوي؟ بتساوي مالة نهاية", "tokens": [2407, 2304, 6027, 3660, 8717, 11296, 10632, 39896, 38392, 39896, 3613, 11778, 6027, 3660, 3613, 11778, 6027, 3660, 29538, 39896, 9154, 8608, 5172, 2288, 30731, 3714, 6027, 3660, 8717, 11296, 10632, 5296, 33456, 9122, 2655, 16758, 3660, 15844, 8608, 13063, 3660, 2445, 307, 322, 281, 23032, 1829, 3555, 37893, 39896, 4117, 4948, 462, 295, 1783, 5296, 15042, 1783, 6055, 32887, 5016, 5296, 3794, 6027, 3555, 3714, 6027, 3660, 8717, 11296, 10632, 39894, 3794, 995, 45865, 8608, 5172, 2288, 293, 4948, 462, 295, 1783, 5296, 15042, 1783, 6055, 32887, 5016, 5296, 2304, 6027, 3660, 8717, 11296, 10632, 1975, 1829, 8592, 39894, 3794, 995, 45865, 22807, 39894, 3794, 995, 45865, 3714, 6027, 3660, 8717, 11296, 10632], "avg_logprob": -0.2601902293122333, "compression_ratio": 2.064171122994652, "no_speech_prob": 1.430511474609375e-06, "words": [{"start": 4285.650000000001, "end": 4286.31, "word": "ومالة", "probability": 0.478973388671875}, {"start": 4286.31, "end": 4286.87, "word": " نهاية", "probability": 0.92138671875}, {"start": 4286.87, "end": 4287.67, "word": " هي", "probability": 0.548828125}, {"start": 4287.67, "end": 4288.01, "word": " التي", "probability": 0.240966796875}, {"start": 4288.01, "end": 4288.69, "word": " هي", "probability": 0.89599609375}, {"start": 4288.69, "end": 4289.17, "word": " range", "probability": 0.611328125}, {"start": 4289.17, "end": 4289.85, "word": " دالة", "probability": 0.5476888020833334}, {"start": 4289.85, "end": 4290.79, "word": " range", "probability": 0.2607421875}, {"start": 4290.79, "end": 4291.37, "word": " دالة", "probability": 0.9357096354166666}, {"start": 4291.37, "end": 4291.75, "word": " هذه", "probability": 0.471435546875}, {"start": 4291.75, "end": 4292.03, "word": " هي", "probability": 0.970703125}, {"start": 4292.03, "end": 4292.67, "word": " من", "probability": 0.89111328125}, {"start": 4292.67, "end": 4292.99, "word": " سفر", "probability": 0.7154947916666666}, {"start": 4292.99, "end": 4293.25, "word": " إلى", "probability": 0.8671875}, {"start": 4293.25, "end": 4293.47, "word": " مالة", "probability": 0.8850911458333334}, {"start": 4293.47, "end": 4293.69, "word": " نهاية", "probability": 0.9026692708333334}, {"start": 4293.69, "end": 4293.85, "word": " لأن", "probability": 0.578857421875}, {"start": 4293.85, "end": 4294.21, "word": " كتابة", "probability": 0.6968994140625}, {"start": 4294.21, "end": 4294.33, "word": " على", "probability": 0.80859375}, {"start": 4294.33, "end": 4294.61, "word": " سورة", "probability": 0.6950276692708334}, {"start": 4294.61, "end": 4294.95, "word": " function", "probability": 0.69287109375}, {"start": 4294.95, "end": 4295.29, "word": " is", "probability": 0.826171875}, {"start": 4295.29, "end": 4295.53, "word": " on", "probability": 0.65087890625}, {"start": 4295.53, "end": 4295.69, "word": " to", "probability": 0.28125}, {"start": 4295.69, "end": 4297.63, "word": " طيب", "probability": 0.857421875}, {"start": 4297.63, "end": 4298.19, "word": " مش", "probability": 0.63623046875}, {"start": 4298.19, "end": 4298.57, "word": " هيك", "probability": 0.965087890625}, {"start": 4298.57, "end": 4299.31, "word": " limit", "probability": 0.9033203125}, {"start": 4299.31, "end": 4299.53, "word": " E", "probability": 0.47412109375}, {"start": 4299.53, "end": 4299.67, "word": " of", "probability": 0.82666015625}, {"start": 4299.67, "end": 4299.85, "word": " X", "probability": 0.9189453125}, {"start": 4299.85, "end": 4300.05, "word": " لما", "probability": 0.72412109375}, {"start": 4300.05, "end": 4300.21, "word": " X", "probability": 0.9501953125}, {"start": 4300.21, "end": 4300.43, "word": " تروح", "probability": 0.9697265625}, {"start": 4300.43, "end": 4300.83, "word": " لسالب", "probability": 0.80999755859375}, {"start": 4300.83, "end": 4301.09, "word": " مالة", "probability": 0.8878580729166666}, {"start": 4301.09, "end": 4301.39, "word": " نهاية", "probability": 0.9396158854166666}, {"start": 4301.39, "end": 4301.77, "word": " بتساوي", "probability": 0.869140625}, {"start": 4301.77, "end": 4302.17, "word": " سفر", "probability": 0.97265625}, {"start": 4302.17, "end": 4302.71, "word": " and", "probability": 0.81787109375}, {"start": 4302.71, "end": 4303.01, "word": " limit", "probability": 0.93212890625}, {"start": 4303.01, "end": 4303.21, "word": " E", "probability": 0.958984375}, {"start": 4303.21, "end": 4303.31, "word": " of", "probability": 0.96728515625}, {"start": 4303.31, "end": 4303.47, "word": " X", "probability": 0.994140625}, {"start": 4303.47, "end": 4303.69, "word": " لما", "probability": 0.977783203125}, {"start": 4303.69, "end": 4303.85, "word": " X", "probability": 0.98876953125}, {"start": 4303.85, "end": 4304.13, "word": " تروح", "probability": 0.9918619791666666}, {"start": 4304.13, "end": 4304.49, "word": " لمالة", "probability": 0.84033203125}, {"start": 4304.49, "end": 4304.75, "word": " نهاية", "probability": 0.8494466145833334}, {"start": 4304.75, "end": 4304.87, "word": " ايش", "probability": 0.7002766927083334}, {"start": 4304.87, "end": 4305.95, "word": " بتساوي؟", "probability": 0.838330078125}, {"start": 4305.95, "end": 4306.61, "word": " بتساوي", "probability": 0.94580078125}, {"start": 4306.61, "end": 4307.11, "word": " مالة", "probability": 0.9803059895833334}, {"start": 4307.11, "end": 4307.51, "word": " نهاية", "probability": 0.96875}], "temperature": 1.0}, {"id": 190, "seek": 433481, "start": 4308.37, "end": 4334.81, "text": "يعني الدالة هذه في حالة ال ال E of X اللي احنا سميناها ال X exponential لل X هذه الدالة هذه الدالة زي ما انتوا عارفين لما X تروح إلى سالب ماله نهاية هذا هيروح للسفر ال E of X هتروح للسفر و لما ال X تروح لماله نهاية ال E of X هتروح إيش إلى ماله نهاية نشوف أول شي بالنسبة لمن؟ لل range", "tokens": [40228, 22653, 32748, 6027, 3660, 29538, 8978, 11331, 6027, 3660, 2423, 2423, 462, 295, 1783, 13672, 1829, 1975, 5016, 8315, 8608, 2304, 1829, 8315, 11296, 2423, 1783, 21510, 24976, 1783, 29538, 32748, 6027, 3660, 29538, 32748, 6027, 3660, 30767, 1829, 19446, 16472, 2655, 14407, 6225, 9640, 5172, 9957, 5296, 15042, 1783, 6055, 32887, 5016, 30731, 8608, 6027, 3555, 3714, 6027, 3224, 8717, 11296, 10632, 23758, 39896, 32887, 5016, 24976, 3794, 5172, 2288, 2423, 462, 295, 1783, 8032, 2655, 32887, 5016, 24976, 3794, 5172, 2288, 4032, 5296, 15042, 2423, 1783, 6055, 32887, 5016, 5296, 2304, 6027, 3224, 8717, 11296, 10632, 2423, 462, 295, 1783, 8032, 2655, 32887, 5016, 11933, 1829, 8592, 30731, 3714, 6027, 3224, 8717, 11296, 10632, 8717, 8592, 38688, 5551, 12610, 44049, 20666, 1863, 35457, 3660, 5296, 27842, 22807, 24976, 3613], "avg_logprob": -0.2434210571131312, "compression_ratio": 2.10762331838565, "no_speech_prob": 1.8477439880371094e-06, "words": [{"start": 4308.37, "end": 4309.05, "word": "يعني", "probability": 0.79931640625}, {"start": 4309.05, "end": 4309.65, "word": " الدالة", "probability": 0.9052734375}, {"start": 4309.65, "end": 4310.15, "word": " هذه", "probability": 0.53271484375}, {"start": 4310.15, "end": 4310.99, "word": " في", "probability": 0.7744140625}, {"start": 4310.99, "end": 4311.53, "word": " حالة", "probability": 0.982421875}, {"start": 4311.53, "end": 4311.73, "word": " ال", "probability": 0.5927734375}, {"start": 4311.73, "end": 4311.97, "word": " ال", "probability": 0.11822509765625}, {"start": 4311.97, "end": 4312.33, "word": " E", "probability": 0.417236328125}, {"start": 4312.33, "end": 4312.47, "word": " of", "probability": 0.71435546875}, {"start": 4312.47, "end": 4312.81, "word": " X", "probability": 0.9736328125}, {"start": 4312.81, "end": 4315.67, "word": " اللي", "probability": 0.56005859375}, {"start": 4315.67, "end": 4315.87, "word": " احنا", "probability": 0.81298828125}, {"start": 4315.87, "end": 4316.29, "word": " سميناها", "probability": 0.821044921875}, {"start": 4316.29, "end": 4316.37, "word": " ال", "probability": 0.55029296875}, {"start": 4316.37, "end": 4316.51, "word": " X", "probability": 0.927734375}, {"start": 4316.51, "end": 4316.91, "word": " exponential", "probability": 0.256103515625}, {"start": 4316.91, "end": 4317.21, "word": " لل", "probability": 0.444091796875}, {"start": 4317.21, "end": 4317.43, "word": " X", "probability": 0.88232421875}, {"start": 4317.43, "end": 4317.79, "word": " هذه", "probability": 0.419189453125}, {"start": 4317.79, "end": 4318.39, "word": " الدالة", "probability": 0.994140625}, {"start": 4318.39, "end": 4319.07, "word": " هذه", "probability": 0.110107421875}, {"start": 4319.07, "end": 4319.63, "word": " الدالة", "probability": 0.9938151041666666}, {"start": 4319.63, "end": 4319.89, "word": " زي", "probability": 0.90478515625}, {"start": 4319.89, "end": 4319.95, "word": " ما", "probability": 0.9814453125}, {"start": 4319.95, "end": 4320.15, "word": " انتوا", "probability": 0.8623046875}, {"start": 4320.15, "end": 4320.59, "word": " عارفين", "probability": 0.98779296875}, {"start": 4320.59, "end": 4320.97, "word": " لما", "probability": 0.887939453125}, {"start": 4320.97, "end": 4321.23, "word": " X", "probability": 0.97900390625}, {"start": 4321.23, "end": 4322.09, "word": " تروح", "probability": 0.9928385416666666}, {"start": 4322.09, "end": 4322.41, "word": " إلى", "probability": 0.85205078125}, {"start": 4322.41, "end": 4322.89, "word": " سالب", "probability": 0.8810221354166666}, {"start": 4322.89, "end": 4323.13, "word": " ماله", "probability": 0.6474609375}, {"start": 4323.13, "end": 4323.53, "word": " نهاية", "probability": 0.9138997395833334}, {"start": 4323.53, "end": 4323.75, "word": " هذا", "probability": 0.7939453125}, {"start": 4323.75, "end": 4324.11, "word": " هيروح", "probability": 0.8297526041666666}, {"start": 4324.11, "end": 4324.57, "word": " للسفر", "probability": 0.77398681640625}, {"start": 4324.57, "end": 4324.67, "word": " ال", "probability": 0.6396484375}, {"start": 4324.67, "end": 4324.79, "word": " E", "probability": 0.98046875}, {"start": 4324.79, "end": 4324.89, "word": " of", "probability": 0.9111328125}, {"start": 4324.89, "end": 4325.05, "word": " X", "probability": 0.99560546875}, {"start": 4325.05, "end": 4325.37, "word": " هتروح", "probability": 0.94677734375}, {"start": 4325.37, "end": 4325.91, "word": " للسفر", "probability": 0.95263671875}, {"start": 4325.91, "end": 4326.43, "word": " و", "probability": 0.86328125}, {"start": 4326.43, "end": 4326.83, "word": " لما", "probability": 0.859375}, {"start": 4326.83, "end": 4327.09, "word": " ال", "probability": 0.7353515625}, {"start": 4327.09, "end": 4327.27, "word": " X", "probability": 0.99072265625}, {"start": 4327.27, "end": 4327.57, "word": " تروح", "probability": 0.9918619791666666}, {"start": 4327.57, "end": 4327.85, "word": " لماله", "probability": 0.669921875}, {"start": 4327.85, "end": 4328.11, "word": " نهاية", "probability": 0.9405924479166666}, {"start": 4328.11, "end": 4328.23, "word": " ال", "probability": 0.9541015625}, {"start": 4328.23, "end": 4328.33, "word": " E", "probability": 0.9814453125}, {"start": 4328.33, "end": 4328.43, "word": " of", "probability": 0.97265625}, {"start": 4328.43, "end": 4328.61, "word": " X", "probability": 0.9970703125}, {"start": 4328.61, "end": 4329.03, "word": " هتروح", "probability": 0.9765625}, {"start": 4329.03, "end": 4329.49, "word": " إيش", "probability": 0.8133138020833334}, {"start": 4329.49, "end": 4330.19, "word": " إلى", "probability": 0.4111328125}, {"start": 4330.19, "end": 4330.89, "word": " ماله", "probability": 0.9659830729166666}, {"start": 4330.89, "end": 4331.51, "word": " نهاية", "probability": 0.9659830729166666}, {"start": 4331.51, "end": 4332.39, "word": " نشوف", "probability": 0.765380859375}, {"start": 4332.39, "end": 4332.57, "word": " أول", "probability": 0.840087890625}, {"start": 4332.57, "end": 4332.77, "word": " شي", "probability": 0.34033203125}, {"start": 4332.77, "end": 4333.33, "word": " بالنسبة", "probability": 0.891357421875}, {"start": 4333.33, "end": 4333.79, "word": " لمن؟", "probability": 0.6058756510416666}, {"start": 4333.79, "end": 4333.97, "word": " لل", "probability": 0.89794921875}, {"start": 4333.97, "end": 4334.81, "word": " range", "probability": 0.373779296875}], "temperature": 1.0}, {"id": 191, "seek": 435864, "start": 4339.57, "end": 4358.65, "text": "الان we know that E of 0 بيساوي Eاش واحد اكبر من Eاش من سفر اكيد،ظبط ولا لا؟ and E of X ده بيساوي سفر for X element in R صار عندى الان هاي دالة E of 0 إلها واحد،ماشي؟", "tokens": [6027, 7649, 321, 458, 300, 462, 295, 1958, 4724, 1829, 3794, 995, 45865, 462, 33599, 36764, 24401, 1975, 4117, 26890, 9154, 462, 33599, 9154, 8608, 5172, 2288, 1975, 4117, 25708, 12399, 19913, 3555, 9566, 49429, 20193, 22807, 293, 462, 295, 1783, 11778, 3224, 4724, 1829, 3794, 995, 45865, 8608, 5172, 2288, 337, 1783, 4478, 294, 497, 20328, 9640, 43242, 7578, 2423, 7649, 8032, 47302, 11778, 6027, 3660, 462, 295, 1958, 11933, 1211, 11296, 36764, 24401, 12399, 2304, 33599, 1829, 22807], "avg_logprob": -0.3364197413126628, "compression_ratio": 1.4318181818181819, "no_speech_prob": 1.9669532775878906e-06, "words": [{"start": 4339.57, "end": 4340.21, "word": "الان", "probability": 0.750244140625}, {"start": 4340.21, "end": 4340.85, "word": " we", "probability": 0.080322265625}, {"start": 4340.85, "end": 4341.29, "word": " know", "probability": 0.9140625}, {"start": 4341.29, "end": 4341.65, "word": " that", "probability": 0.7939453125}, {"start": 4341.65, "end": 4341.85, "word": " E", "probability": 0.80078125}, {"start": 4341.85, "end": 4341.99, "word": " of", "probability": 0.57373046875}, {"start": 4341.99, "end": 4342.29, "word": " 0", "probability": 0.4033203125}, {"start": 4342.29, "end": 4342.69, "word": " بيساوي", "probability": 0.666717529296875}, {"start": 4342.69, "end": 4343.09, "word": " Eاش", "probability": 0.1815185546875}, {"start": 4343.09, "end": 4343.61, "word": " واحد", "probability": 0.858642578125}, {"start": 4343.61, "end": 4344.07, "word": " اكبر", "probability": 0.8575846354166666}, {"start": 4344.07, "end": 4344.25, "word": " من", "probability": 0.9521484375}, {"start": 4344.25, "end": 4344.59, "word": " Eاش", "probability": 0.93798828125}, {"start": 4344.59, "end": 4344.81, "word": " من", "probability": 0.9453125}, {"start": 4344.81, "end": 4345.17, "word": " سفر", "probability": 0.81884765625}, {"start": 4345.17, "end": 4347.35, "word": " اكيد،ظبط", "probability": 0.6206577845982143}, {"start": 4347.35, "end": 4347.47, "word": " ولا", "probability": 0.82275390625}, {"start": 4347.47, "end": 4348.45, "word": " لا؟", "probability": 0.713623046875}, {"start": 4348.45, "end": 4348.71, "word": " and", "probability": 0.7666015625}, {"start": 4348.71, "end": 4348.91, "word": " E", "probability": 0.9892578125}, {"start": 4348.91, "end": 4349.07, "word": " of", "probability": 0.96630859375}, {"start": 4349.07, "end": 4349.29, "word": " X", "probability": 0.958984375}, {"start": 4349.29, "end": 4349.45, "word": " ده", "probability": 0.8701171875}, {"start": 4349.45, "end": 4349.77, "word": " بيساوي", "probability": 0.9150390625}, {"start": 4349.77, "end": 4350.07, "word": " سفر", "probability": 0.8290201822916666}, {"start": 4350.07, "end": 4350.29, "word": " for", "probability": 0.75146484375}, {"start": 4350.29, "end": 4350.57, "word": " X", "probability": 0.75341796875}, {"start": 4350.57, "end": 4350.89, "word": " element", "probability": 0.90380859375}, {"start": 4350.89, "end": 4351.17, "word": " in", "probability": 0.958984375}, {"start": 4351.17, "end": 4351.41, "word": " R", "probability": 0.99853515625}, {"start": 4351.41, "end": 4352.19, "word": " صار", "probability": 0.961669921875}, {"start": 4352.19, "end": 4352.57, "word": " عندى", "probability": 0.763427734375}, {"start": 4352.57, "end": 4353.05, "word": " الان", "probability": 0.6820068359375}, {"start": 4353.05, "end": 4354.13, "word": " هاي", "probability": 0.5015869140625}, {"start": 4354.13, "end": 4354.75, "word": " دالة", "probability": 0.9690755208333334}, {"start": 4354.75, "end": 4356.17, "word": " E", "probability": 0.96044921875}, {"start": 4356.17, "end": 4356.39, "word": " of", "probability": 0.9736328125}, {"start": 4356.39, "end": 4356.71, "word": " 0", "probability": 0.716796875}, {"start": 4356.71, "end": 4356.95, "word": " إلها", "probability": 0.69189453125}, {"start": 4356.95, "end": 4358.65, "word": " واحد،ماشي؟", "probability": 0.7939453125}], "temperature": 1.0}, {"id": 192, "seek": 436797, "start": 4360.36, "end": 4367.98, "text": "أو E of X مش سفر يعني إيه شمالها لا تقطع محور السينات إطلاقا", "tokens": [10721, 2407, 462, 295, 1783, 37893, 8608, 5172, 2288, 37495, 22653, 11933, 1829, 3224, 13412, 2304, 6027, 11296, 20193, 6055, 47432, 3615, 3714, 5016, 13063, 21136, 1829, 8315, 2655, 11933, 9566, 15040, 4587, 995], "avg_logprob": -0.22377232313156128, "compression_ratio": 1.10752688172043, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 4360.36, "end": 4360.72, "word": "أو", "probability": 0.6383056640625}, {"start": 4360.72, "end": 4360.92, "word": " E", "probability": 0.88037109375}, {"start": 4360.92, "end": 4361.1, "word": " of", "probability": 0.525390625}, {"start": 4361.1, "end": 4361.52, "word": " X", "probability": 0.9931640625}, {"start": 4361.52, "end": 4362.12, "word": " مش", "probability": 0.79296875}, {"start": 4362.12, "end": 4362.84, "word": " سفر", "probability": 0.8170572916666666}, {"start": 4362.84, "end": 4363.74, "word": " يعني", "probability": 0.888427734375}, {"start": 4363.74, "end": 4363.92, "word": " إيه", "probability": 0.7306315104166666}, {"start": 4363.92, "end": 4364.5, "word": " شمالها", "probability": 0.8397216796875}, {"start": 4364.5, "end": 4364.98, "word": " لا", "probability": 0.3349609375}, {"start": 4364.98, "end": 4365.58, "word": " تقطع", "probability": 0.99267578125}, {"start": 4365.58, "end": 4366.0, "word": " محور", "probability": 0.9842122395833334}, {"start": 4366.0, "end": 4366.84, "word": " السينات", "probability": 0.8851318359375}, {"start": 4366.84, "end": 4367.98, "word": " إطلاقا", "probability": 0.87880859375}], "temperature": 1.0}, {"id": 193, "seek": 439071, "start": 4368.77, "end": 4390.71, "text": "اللي E of X نفسها و 0 من سفرها الأن أنا بقول مستحيل تكون في إيها قيم سالبة يعني مستحيل نلاقي E of X naught اللي هي أصغر من 0 ليش؟ لأنه لو لجينا E of X naught سالبة لو هالجيت عندنا X naught و هيها قيمتها E of X naught اللي هو سالبة يعني هتكون تحت", "tokens": [6027, 20292, 462, 295, 1783, 8717, 36178, 11296, 4032, 1958, 9154, 8608, 5172, 2288, 11296, 16247, 1863, 41850, 4724, 39648, 3714, 14851, 5016, 26895, 6055, 30544, 8978, 11933, 1829, 11296, 12174, 32640, 8608, 6027, 49401, 37495, 22653, 3714, 14851, 5016, 26895, 8717, 15040, 38436, 462, 295, 1783, 13138, 13672, 1829, 39896, 5551, 9381, 17082, 2288, 9154, 1958, 32239, 8592, 22807, 5296, 33456, 3224, 45164, 5296, 7435, 1829, 8315, 462, 295, 1783, 13138, 8608, 6027, 49401, 45164, 8032, 6027, 7435, 36081, 43242, 8315, 1783, 13138, 4032, 39896, 11296, 12174, 32640, 2655, 11296, 462, 295, 1783, 13138, 13672, 1829, 31439, 8608, 6027, 49401, 37495, 22653, 8032, 2655, 30544, 6055, 33753], "avg_logprob": -0.23795870848751943, "compression_ratio": 1.9356435643564356, "no_speech_prob": 5.125999450683594e-06, "words": [{"start": 4368.77, "end": 4369.07, "word": "اللي", "probability": 0.682373046875}, {"start": 4369.07, "end": 4369.17, "word": " E", "probability": 0.7919921875}, {"start": 4369.17, "end": 4369.31, "word": " of", "probability": 0.5361328125}, {"start": 4369.31, "end": 4369.49, "word": " X", "probability": 0.97900390625}, {"start": 4369.49, "end": 4369.81, "word": " نفسها", "probability": 0.4471435546875}, {"start": 4369.81, "end": 4369.93, "word": " و", "probability": 0.5888671875}, {"start": 4369.93, "end": 4369.93, "word": " 0", "probability": 0.3037109375}, {"start": 4369.93, "end": 4370.11, "word": " من", "probability": 0.276123046875}, {"start": 4370.11, "end": 4370.55, "word": " سفرها", "probability": 0.62060546875}, {"start": 4370.55, "end": 4371.91, "word": " الأن", "probability": 0.493408203125}, {"start": 4371.91, "end": 4372.57, "word": " أنا", "probability": 0.8134765625}, {"start": 4372.57, "end": 4373.07, "word": " بقول", "probability": 0.968505859375}, {"start": 4373.07, "end": 4373.99, "word": " مستحيل", "probability": 0.9483642578125}, {"start": 4373.99, "end": 4374.61, "word": " تكون", "probability": 0.9658203125}, {"start": 4374.61, "end": 4374.89, "word": " في", "probability": 0.91015625}, {"start": 4374.89, "end": 4375.17, "word": " إيها", "probability": 0.6797688802083334}, {"start": 4375.17, "end": 4375.61, "word": " قيم", "probability": 0.986572265625}, {"start": 4375.61, "end": 4376.23, "word": " سالبة", "probability": 0.9147135416666666}, {"start": 4376.23, "end": 4376.51, "word": " يعني", "probability": 0.85205078125}, {"start": 4376.51, "end": 4377.11, "word": " مستحيل", "probability": 0.9879150390625}, {"start": 4377.11, "end": 4377.53, "word": " نلاقي", "probability": 0.71240234375}, {"start": 4377.53, "end": 4377.95, "word": " E", "probability": 0.97314453125}, {"start": 4377.95, "end": 4378.23, "word": " of", "probability": 0.9658203125}, {"start": 4378.23, "end": 4378.55, "word": " X", "probability": 0.9892578125}, {"start": 4378.55, "end": 4378.99, "word": " naught", "probability": 0.1761474609375}, {"start": 4378.99, "end": 4379.47, "word": " اللي", "probability": 0.83251953125}, {"start": 4379.47, "end": 4379.61, "word": " هي", "probability": 0.83544921875}, {"start": 4379.61, "end": 4379.91, "word": " أصغر", "probability": 0.9869384765625}, {"start": 4379.91, "end": 4380.07, "word": " من", "probability": 0.99658203125}, {"start": 4380.07, "end": 4380.37, "word": " 0", "probability": 0.65966796875}, {"start": 4380.37, "end": 4381.55, "word": " ليش؟", "probability": 0.661376953125}, {"start": 4381.55, "end": 4381.91, "word": " لأنه", "probability": 0.714111328125}, {"start": 4381.91, "end": 4382.03, "word": " لو", "probability": 0.95751953125}, {"start": 4382.03, "end": 4382.53, "word": " لجينا", "probability": 0.9368896484375}, {"start": 4382.53, "end": 4382.79, "word": " E", "probability": 0.95556640625}, {"start": 4382.79, "end": 4382.93, "word": " of", "probability": 0.8173828125}, {"start": 4382.93, "end": 4383.03, "word": " X", "probability": 0.9970703125}, {"start": 4383.03, "end": 4383.39, "word": " naught", "probability": 0.95654296875}, {"start": 4383.39, "end": 4384.07, "word": " سالبة", "probability": 0.9816080729166666}, {"start": 4384.07, "end": 4384.69, "word": " لو", "probability": 0.8193359375}, {"start": 4384.69, "end": 4385.13, "word": " هالجيت", "probability": 0.74591064453125}, {"start": 4385.13, "end": 4385.45, "word": " عندنا", "probability": 0.937744140625}, {"start": 4385.45, "end": 4385.63, "word": " X", "probability": 0.97900390625}, {"start": 4385.63, "end": 4385.99, "word": " naught", "probability": 0.9169921875}, {"start": 4385.99, "end": 4386.39, "word": " و", "probability": 0.58251953125}, {"start": 4386.39, "end": 4386.79, "word": " هيها", "probability": 0.831298828125}, {"start": 4386.79, "end": 4387.33, "word": " قيمتها", "probability": 0.9925537109375}, {"start": 4387.33, "end": 4387.61, "word": " E", "probability": 0.9873046875}, {"start": 4387.61, "end": 4387.77, "word": " of", "probability": 0.98046875}, {"start": 4387.77, "end": 4388.05, "word": " X", "probability": 0.998046875}, {"start": 4388.05, "end": 4388.51, "word": " naught", "probability": 0.96142578125}, {"start": 4388.51, "end": 4389.15, "word": " اللي", "probability": 0.992431640625}, {"start": 4389.15, "end": 4389.33, "word": " هو", "probability": 0.615234375}, {"start": 4389.33, "end": 4389.71, "word": " سالبة", "probability": 0.9777018229166666}, {"start": 4389.71, "end": 4389.91, "word": " يعني", "probability": 0.952392578125}, {"start": 4389.91, "end": 4390.27, "word": " هتكون", "probability": 0.8204752604166666}, {"start": 4390.27, "end": 4390.71, "word": " تحت", "probability": 0.894287109375}], "temperature": 1.0}, {"id": 194, "seek": 442097, "start": 4391.6, "end": 4420.98, "text": "طب ما هي الدالة متصلة مدام متصلة إذا غصب عنها هتيجي تقطع اللي هو ما هتيجي منها لها هتقطع محور السينات إذا هتصير سفر وهذا Contradiction من أين الكلام هذا؟ By Bolzano Intermediate Value Theorem بما أنه احنا في عندنا X0 فرضناها ال E of X0 أصغر من سفر وفي عندي اللي هي E of Zero بساوي واحد اللي هي", "tokens": [9566, 3555, 19446, 39896, 32748, 6027, 3660, 44650, 36520, 3660, 3714, 3215, 10943, 44650, 36520, 3660, 11933, 15730, 32771, 9381, 3555, 18871, 11296, 8032, 31371, 7435, 1829, 6055, 47432, 3615, 13672, 1829, 31439, 19446, 8032, 31371, 7435, 1829, 9154, 11296, 5296, 11296, 8032, 2655, 47432, 3615, 3714, 5016, 13063, 21136, 1829, 8315, 2655, 11933, 15730, 8032, 2655, 9381, 13546, 8608, 5172, 2288, 37037, 15730, 4839, 6206, 4105, 9154, 5551, 9957, 2423, 28820, 10943, 23758, 22807, 3146, 14331, 89, 3730, 5751, 3130, 473, 39352, 440, 37956, 4724, 15042, 14739, 3224, 1975, 5016, 8315, 8978, 43242, 8315, 1783, 15, 6156, 43042, 8315, 11296, 2423, 462, 295, 1783, 15, 5551, 9381, 17082, 2288, 9154, 8608, 5172, 2288, 4032, 41185, 18871, 16254, 13672, 1829, 39896, 462, 295, 17182, 4724, 3794, 995, 45865, 36764, 24401, 13672, 1829, 39896], "avg_logprob": -0.23810633716743385, "compression_ratio": 1.7169117647058822, "no_speech_prob": 8.344650268554688e-07, "words": [{"start": 4391.6, "end": 4391.88, "word": "طب", "probability": 0.6649169921875}, {"start": 4391.88, "end": 4391.96, "word": " ما", "probability": 0.77587890625}, {"start": 4391.96, "end": 4392.14, "word": " هي", "probability": 0.91455078125}, {"start": 4392.14, "end": 4392.56, "word": " الدالة", "probability": 0.8680013020833334}, {"start": 4392.56, "end": 4393.96, "word": " متصلة", "probability": 0.8185221354166666}, {"start": 4393.96, "end": 4394.42, "word": " مدام", "probability": 0.7019856770833334}, {"start": 4394.42, "end": 4395.4, "word": " متصلة", "probability": 0.92919921875}, {"start": 4395.4, "end": 4395.98, "word": " إذا", "probability": 0.619873046875}, {"start": 4395.98, "end": 4396.46, "word": " غصب", "probability": 0.94482421875}, {"start": 4396.46, "end": 4397.14, "word": " عنها", "probability": 0.816650390625}, {"start": 4397.14, "end": 4397.82, "word": " هتيجي", "probability": 0.706390380859375}, {"start": 4397.82, "end": 4398.38, "word": " تقطع", "probability": 0.9812825520833334}, {"start": 4398.38, "end": 4398.56, "word": " اللي", "probability": 0.8525390625}, {"start": 4398.56, "end": 4398.7, "word": " هو", "probability": 0.88720703125}, {"start": 4398.7, "end": 4398.88, "word": " ما", "probability": 0.430908203125}, {"start": 4398.88, "end": 4399.26, "word": " هتيجي", "probability": 0.8402099609375}, {"start": 4399.26, "end": 4399.6, "word": " منها", "probability": 0.65185546875}, {"start": 4399.6, "end": 4399.96, "word": " لها", "probability": 0.6856689453125}, {"start": 4399.96, "end": 4400.94, "word": " هتقطع", "probability": 0.918701171875}, {"start": 4400.94, "end": 4401.28, "word": " محور", "probability": 0.98046875}, {"start": 4401.28, "end": 4402.06, "word": " السينات", "probability": 0.81109619140625}, {"start": 4402.06, "end": 4402.26, "word": " إذا", "probability": 0.88525390625}, {"start": 4402.26, "end": 4402.74, "word": " هتصير", "probability": 0.8818359375}, {"start": 4402.74, "end": 4403.06, "word": " سفر", "probability": 0.8292643229166666}, {"start": 4403.06, "end": 4403.28, "word": " وهذا", "probability": 0.849365234375}, {"start": 4403.28, "end": 4404.04, "word": " Contradiction", "probability": 0.7357584635416666}, {"start": 4404.04, "end": 4404.76, "word": " من", "probability": 0.86767578125}, {"start": 4404.76, "end": 4404.9, "word": " أين", "probability": 0.68798828125}, {"start": 4404.9, "end": 4405.28, "word": " الكلام", "probability": 0.9651692708333334}, {"start": 4405.28, "end": 4405.9, "word": " هذا؟", "probability": 0.8310546875}, {"start": 4405.9, "end": 4406.3, "word": " By", "probability": 0.64697265625}, {"start": 4406.3, "end": 4407.16, "word": " Bolzano", "probability": 0.9036458333333334}, {"start": 4407.16, "end": 4408.02, "word": " Intermediate", "probability": 0.81298828125}, {"start": 4408.02, "end": 4408.38, "word": " Value", "probability": 0.9453125}, {"start": 4408.38, "end": 4408.94, "word": " Theorem", "probability": 0.83740234375}, {"start": 4408.94, "end": 4409.84, "word": " بما", "probability": 0.892333984375}, {"start": 4409.84, "end": 4410.2, "word": " أنه", "probability": 0.49609375}, {"start": 4410.2, "end": 4410.36, "word": " احنا", "probability": 0.7952473958333334}, {"start": 4410.36, "end": 4410.54, "word": " في", "probability": 0.916015625}, {"start": 4410.54, "end": 4410.86, "word": " عندنا", "probability": 0.70166015625}, {"start": 4410.86, "end": 4411.28, "word": " X0", "probability": 0.42822265625}, {"start": 4411.28, "end": 4412.06, "word": " فرضناها", "probability": 0.9786376953125}, {"start": 4412.06, "end": 4412.48, "word": " ال", "probability": 0.78662109375}, {"start": 4412.48, "end": 4412.62, "word": " E", "probability": 0.2958984375}, {"start": 4412.62, "end": 4412.76, "word": " of", "probability": 0.73828125}, {"start": 4412.76, "end": 4413.28, "word": " X0", "probability": 0.94677734375}, {"start": 4413.28, "end": 4413.66, "word": " أصغر", "probability": 0.876708984375}, {"start": 4413.66, "end": 4413.84, "word": " من", "probability": 0.99755859375}, {"start": 4413.84, "end": 4414.28, "word": " سفر", "probability": 0.84375}, {"start": 4414.28, "end": 4414.92, "word": " وفي", "probability": 0.798583984375}, {"start": 4414.92, "end": 4415.48, "word": " عندي", "probability": 0.71826171875}, {"start": 4415.48, "end": 4415.82, "word": " اللي", "probability": 0.8564453125}, {"start": 4415.82, "end": 4416.3, "word": " هي", "probability": 0.9404296875}, {"start": 4416.3, "end": 4417.26, "word": " E", "probability": 0.96826171875}, {"start": 4417.26, "end": 4418.06, "word": " of", "probability": 0.92431640625}, {"start": 4418.06, "end": 4418.68, "word": " Zero", "probability": 0.3505859375}, {"start": 4418.68, "end": 4419.26, "word": " بساوي", "probability": 0.91064453125}, {"start": 4419.26, "end": 4419.88, "word": " واحد", "probability": 0.916015625}, {"start": 4419.88, "end": 4420.68, "word": " اللي", "probability": 0.983642578125}, {"start": 4420.68, "end": 4420.98, "word": " هي", "probability": 0.96923828125}], "temperature": 1.0}, {"id": 195, "seek": 445080, "start": 4424.44, "end": 4450.8, "text": "أه لو فرضنا ان في اكس نوت اكس نوت تكون اللي هو سالبة اكس نوت اصغر من سفر فعندي E of X naught اصغر من سفر وعندي اللي هو في اللي هو E of X بساوي واحد اه وهادي اكبر من سفر", "tokens": [10721, 3224, 45164, 6156, 43042, 8315, 16472, 8978, 1975, 4117, 3794, 8717, 35473, 1975, 4117, 3794, 8717, 35473, 6055, 30544, 13672, 1829, 31439, 8608, 6027, 49401, 1975, 4117, 3794, 8717, 35473, 1975, 9381, 17082, 2288, 9154, 8608, 5172, 2288, 6156, 3615, 1863, 16254, 462, 295, 1783, 13138, 1975, 9381, 17082, 2288, 9154, 8608, 5172, 2288, 4032, 3615, 1863, 16254, 13672, 1829, 31439, 8978, 13672, 1829, 31439, 462, 295, 1783, 4724, 3794, 995, 45865, 36764, 24401, 1975, 3224, 4032, 11296, 16254, 1975, 4117, 26890, 9154, 8608, 5172, 2288], "avg_logprob": -0.23721591603349557, "compression_ratio": 1.8859060402684564, "no_speech_prob": 1.3709068298339844e-06, "words": [{"start": 4424.44, "end": 4425.04, "word": "أه", "probability": 0.57818603515625}, {"start": 4425.04, "end": 4425.42, "word": " لو", "probability": 0.68408203125}, {"start": 4425.42, "end": 4425.92, "word": " فرضنا", "probability": 0.9900716145833334}, {"start": 4425.92, "end": 4426.08, "word": " ان", "probability": 0.316650390625}, {"start": 4426.08, "end": 4426.22, "word": " في", "probability": 0.482666015625}, {"start": 4426.22, "end": 4426.56, "word": " اكس", "probability": 0.5853678385416666}, {"start": 4426.56, "end": 4426.68, "word": " نوت", "probability": 0.6156005859375}, {"start": 4426.68, "end": 4427.02, "word": " اكس", "probability": 0.7009684244791666}, {"start": 4427.02, "end": 4427.24, "word": " نوت", "probability": 0.94091796875}, {"start": 4427.24, "end": 4427.66, "word": " تكون", "probability": 0.922119140625}, {"start": 4427.66, "end": 4428.22, "word": " اللي", "probability": 0.89013671875}, {"start": 4428.22, "end": 4428.62, "word": " هو", "probability": 0.98193359375}, {"start": 4428.62, "end": 4429.74, "word": " سالبة", "probability": 0.810546875}, {"start": 4429.74, "end": 4432.1, "word": " اكس", "probability": 0.7904459635416666}, {"start": 4432.1, "end": 4432.3, "word": " نوت", "probability": 0.980712890625}, {"start": 4432.3, "end": 4432.68, "word": " اصغر", "probability": 0.8958740234375}, {"start": 4432.68, "end": 4432.84, "word": " من", "probability": 0.99755859375}, {"start": 4432.84, "end": 4433.2, "word": " سفر", "probability": 0.81298828125}, {"start": 4433.2, "end": 4434.04, "word": " فعندي", "probability": 0.83447265625}, {"start": 4434.04, "end": 4434.36, "word": " E", "probability": 0.6533203125}, {"start": 4434.36, "end": 4435.04, "word": " of", "probability": 0.810546875}, {"start": 4435.04, "end": 4435.3, "word": " X", "probability": 0.947265625}, {"start": 4435.3, "end": 4435.58, "word": " naught", "probability": 0.389404296875}, {"start": 4435.58, "end": 4436.3, "word": " اصغر", "probability": 0.905517578125}, {"start": 4436.3, "end": 4436.44, "word": " من", "probability": 0.99853515625}, {"start": 4436.44, "end": 4436.92, "word": " سفر", "probability": 0.9765625}, {"start": 4436.92, "end": 4438.36, "word": " وعندي", "probability": 0.9315185546875}, {"start": 4438.36, "end": 4438.76, "word": " اللي", "probability": 0.962158203125}, {"start": 4438.76, "end": 4439.24, "word": " هو", "probability": 0.96435546875}, {"start": 4439.24, "end": 4439.8, "word": " في", "probability": 0.91064453125}, {"start": 4439.8, "end": 4440.38, "word": " اللي", "probability": 0.6585693359375}, {"start": 4440.38, "end": 4440.7, "word": " هو", "probability": 0.984375}, {"start": 4440.7, "end": 4441.36, "word": " E", "probability": 0.986328125}, {"start": 4441.36, "end": 4441.6, "word": " of", "probability": 0.97216796875}, {"start": 4441.6, "end": 4442.04, "word": " X", "probability": 0.99609375}, {"start": 4442.04, "end": 4445.74, "word": " بساوي", "probability": 0.8736572265625}, {"start": 4445.74, "end": 4447.5, "word": " واحد", "probability": 0.902587890625}, {"start": 4447.5, "end": 4449.48, "word": " اه", "probability": 0.716064453125}, {"start": 4449.48, "end": 4449.9, "word": " وهادي", "probability": 0.6099446614583334}, {"start": 4449.9, "end": 4450.22, "word": " اكبر", "probability": 0.87255859375}, {"start": 4450.22, "end": 4450.42, "word": " من", "probability": 0.99853515625}, {"start": 4450.42, "end": 4450.8, "word": " سفر", "probability": 0.9840494791666666}], "temperature": 1.0}, {"id": 196, "seek": 447375, "start": 4452.43, "end": 4473.75, "text": "أه وفرضنا وجود هذه وفرضنا وجود هذه اذا by intermediate value theorem غصبن عنها there exists c element الفترة اللي احنا بنحكي عنها R such that f of هذه الـ c اللي هي E of C بتساول كمية اللي بينين اللي هي اسمها سفر وهذا contradiction", "tokens": [10721, 3224, 4032, 5172, 43042, 8315, 49610, 23328, 29538, 4032, 5172, 43042, 8315, 49610, 23328, 29538, 1975, 15730, 538, 19376, 2158, 20904, 32771, 9381, 3555, 1863, 18871, 11296, 456, 8198, 269, 4478, 27188, 2655, 25720, 13672, 1829, 1975, 5016, 8315, 44945, 5016, 4117, 1829, 18871, 11296, 497, 1270, 300, 283, 295, 29538, 2423, 39184, 269, 13672, 1829, 39896, 462, 295, 383, 39894, 3794, 995, 12610, 9122, 2304, 10632, 13672, 1829, 49374, 9957, 13672, 1829, 39896, 24525, 2304, 11296, 8608, 5172, 2288, 37037, 15730, 34937], "avg_logprob": -0.2821691162445966, "compression_ratio": 1.6056338028169015, "no_speech_prob": 1.043081283569336e-05, "words": [{"start": 4452.43, "end": 4452.87, "word": "أه", "probability": 0.332275390625}, {"start": 4452.87, "end": 4453.51, "word": " وفرضنا", "probability": 0.8341064453125}, {"start": 4453.51, "end": 4453.77, "word": " وجود", "probability": 0.991943359375}, {"start": 4453.77, "end": 4454.05, "word": " هذه", "probability": 0.8115234375}, {"start": 4454.05, "end": 4454.47, "word": " وفرضنا", "probability": 0.93310546875}, {"start": 4454.47, "end": 4454.77, "word": " وجود", "probability": 0.987548828125}, {"start": 4454.77, "end": 4455.17, "word": " هذه", "probability": 0.9326171875}, {"start": 4455.17, "end": 4455.97, "word": " اذا", "probability": 0.6163330078125}, {"start": 4455.97, "end": 4456.25, "word": " by", "probability": 0.744140625}, {"start": 4456.25, "end": 4457.07, "word": " intermediate", "probability": 0.8125}, {"start": 4457.07, "end": 4457.47, "word": " value", "probability": 0.94091796875}, {"start": 4457.47, "end": 4458.05, "word": " theorem", "probability": 0.86083984375}, {"start": 4458.05, "end": 4458.81, "word": " غصبن", "probability": 0.7650146484375}, {"start": 4458.81, "end": 4459.51, "word": " عنها", "probability": 0.5318603515625}, {"start": 4459.51, "end": 4460.17, "word": " there", "probability": 0.81640625}, {"start": 4460.17, "end": 4460.87, "word": " exists", "probability": 0.485107421875}, {"start": 4460.87, "end": 4461.43, "word": " c", "probability": 0.58935546875}, {"start": 4461.43, "end": 4462.27, "word": " element", "probability": 0.92236328125}, {"start": 4462.27, "end": 4462.91, "word": " الفترة", "probability": 0.9622395833333334}, {"start": 4462.91, "end": 4463.09, "word": " اللي", "probability": 0.90771484375}, {"start": 4463.09, "end": 4463.31, "word": " احنا", "probability": 0.9241536458333334}, {"start": 4463.31, "end": 4463.65, "word": " بنحكي", "probability": 0.866943359375}, {"start": 4463.65, "end": 4463.93, "word": " عنها", "probability": 0.98828125}, {"start": 4463.93, "end": 4464.25, "word": " R", "probability": 0.5029296875}, {"start": 4464.25, "end": 4465.05, "word": " such", "probability": 0.9228515625}, {"start": 4465.05, "end": 4465.61, "word": " that", "probability": 0.95361328125}, {"start": 4465.61, "end": 4466.35, "word": " f", "probability": 0.458984375}, {"start": 4466.35, "end": 4466.79, "word": " of", "probability": 0.5830078125}, {"start": 4466.79, "end": 4467.11, "word": " هذه", "probability": 0.3984375}, {"start": 4467.11, "end": 4467.29, "word": " الـ", "probability": 0.54931640625}, {"start": 4467.29, "end": 4467.41, "word": " c", "probability": 0.378662109375}, {"start": 4467.41, "end": 4467.57, "word": " اللي", "probability": 0.79736328125}, {"start": 4467.57, "end": 4467.75, "word": " هي", "probability": 0.935546875}, {"start": 4467.75, "end": 4467.95, "word": " E", "probability": 0.88330078125}, {"start": 4467.95, "end": 4468.11, "word": " of", "probability": 0.86865234375}, {"start": 4468.11, "end": 4468.51, "word": " C", "probability": 0.8681640625}, {"start": 4468.51, "end": 4469.55, "word": " بتساول", "probability": 0.8323974609375}, {"start": 4469.55, "end": 4470.09, "word": " كمية", "probability": 0.9661458333333334}, {"start": 4470.09, "end": 4470.27, "word": " اللي", "probability": 0.972412109375}, {"start": 4470.27, "end": 4470.69, "word": " بينين", "probability": 0.57073974609375}, {"start": 4470.69, "end": 4470.83, "word": " اللي", "probability": 0.981201171875}, {"start": 4470.83, "end": 4471.05, "word": " هي", "probability": 0.76953125}, {"start": 4471.05, "end": 4471.69, "word": " اسمها", "probability": 0.7566731770833334}, {"start": 4471.69, "end": 4472.59, "word": " سفر", "probability": 0.7403157552083334}, {"start": 4472.59, "end": 4473.33, "word": " وهذا", "probability": 0.900146484375}, {"start": 4473.33, "end": 4473.75, "word": " contradiction", "probability": 0.73388671875}], "temperature": 1.0}, {"id": 197, "seek": 449128, "start": 4476.06, "end": 4491.28, "text": "بالتالي بيحقق البلزان انها مستمرة على اي انتقال مغلق على كل أرض لانها بيحقق البلزان انها مستمرة على اي انتقال مغلق على كل أرض لانها بيحقق البلزان انها مستمرة على اي انتقال مغلق على كل أرض لانها بيحقق البلزان انها مستمرة على اي انتقال مغلق على كل أرض لانها بيحقق البلزان انها مستمرة على اي انتقال مغلق على كل أرض لانها بيحقق البلزان انها مستمرة على اي انتقال مغلق على كل أرض لانها بيحقق البلزان انها مستمرة على اي انتق", "tokens": [3555, 6027, 2655, 6027, 1829, 4724, 1829, 5016, 4587, 4587, 29739, 1211, 11622, 7649, 16472, 11296, 3714, 14851, 29973, 3660, 15844, 1975, 1829, 16472, 2655, 4587, 6027, 3714, 17082, 1211, 4587, 15844, 28242, 5551, 43042, 5296, 7649, 11296, 4724, 1829, 5016, 4587, 4587, 29739, 1211, 11622, 7649, 16472, 11296, 3714, 14851, 29973, 3660, 15844, 1975, 1829, 16472, 2655, 4587, 6027, 3714, 17082, 1211, 4587, 15844, 28242, 5551, 43042, 5296, 7649, 11296, 4724, 1829, 5016, 4587, 4587, 29739, 1211, 11622, 7649, 16472, 11296, 3714, 14851, 29973, 3660, 15844, 1975, 1829, 16472, 2655, 4587, 6027, 3714, 17082, 1211, 4587, 15844, 28242, 5551, 43042, 5296, 7649, 11296, 4724, 1829, 5016, 4587, 4587, 29739, 1211, 11622, 7649, 16472, 11296, 3714, 14851, 29973, 3660, 15844, 1975, 1829, 16472, 2655, 4587, 6027, 3714, 17082, 1211, 4587, 15844, 28242, 5551, 43042, 5296, 7649, 11296, 4724, 1829, 5016, 4587, 4587, 29739, 1211, 11622, 7649, 16472, 11296, 3714, 14851, 29973, 3660, 15844, 1975, 1829, 16472, 2655, 4587, 6027, 3714, 17082, 1211, 4587, 15844, 28242, 5551, 43042, 5296, 7649, 11296, 4724, 1829, 5016, 4587, 4587, 29739, 1211, 11622, 7649, 16472, 11296, 3714, 14851, 29973, 3660, 15844, 1975, 1829, 16472, 2655, 4587, 6027, 3714, 17082, 1211, 4587, 15844, 28242, 5551, 43042, 5296, 7649, 11296, 4724, 1829, 5016, 4587, 4587, 29739, 1211, 11622, 7649, 16472, 11296, 3714, 14851, 29973, 3660, 15844, 1975, 1829, 16472, 2655, 4587], "avg_logprob": -0.19430555979410807, "compression_ratio": 7.475247524752476, "no_speech_prob": 0.0, "words": [{"start": 4476.0599999999995, "end": 4476.7, "word": "بالتالي", "probability": 0.59970703125}, {"start": 4476.7, "end": 4477.34, "word": " بيحقق", "probability": 0.5230712890625}, {"start": 4477.34, "end": 4477.78, "word": " البلزان", "probability": 0.873291015625}, {"start": 4477.78, "end": 4478.36, "word": " انها", "probability": 0.37701416015625}, {"start": 4478.36, "end": 4479.68, "word": " مستمرة", "probability": 0.4705810546875}, {"start": 4479.68, "end": 4481.86, "word": " على", "probability": 0.36279296875}, {"start": 4481.86, "end": 4482.4, "word": " اي", "probability": 0.57373046875}, {"start": 4482.4, "end": 4483.44, "word": " انتقال", "probability": 0.548095703125}, {"start": 4483.44, "end": 4483.44, "word": " مغلق", "probability": 0.646484375}, {"start": 4483.44, "end": 4483.94, "word": " على", "probability": 0.6474609375}, {"start": 4483.94, "end": 4484.2, "word": " كل", "probability": 0.74755859375}, {"start": 4484.2, "end": 4484.5, "word": " أرض", "probability": 0.617919921875}, {"start": 4484.5, "end": 4484.84, "word": " لانها", "probability": 0.41552734375}, {"start": 4484.84, "end": 4486.36, "word": " بيحقق", "probability": 0.5420166015625}, {"start": 4486.36, "end": 4486.72, "word": " البلزان", "probability": 0.9580078125}, {"start": 4486.72, "end": 4487.06, "word": " انها", "probability": 0.758056640625}, {"start": 4487.06, "end": 4487.26, "word": " مستمرة", "probability": 0.9404296875}, {"start": 4487.26, "end": 4487.26, "word": " على", "probability": 0.9111328125}, {"start": 4487.26, "end": 4487.26, "word": " اي", "probability": 0.646240234375}, {"start": 4487.26, "end": 4487.26, "word": " انتقال", "probability": 0.9893798828125}, {"start": 4487.26, "end": 4487.26, "word": " مغلق", "probability": 0.9732666015625}, {"start": 4487.26, "end": 4487.26, "word": " على", "probability": 0.95361328125}, {"start": 4487.26, "end": 4487.26, "word": " كل", "probability": 0.9951171875}, {"start": 4487.26, "end": 4487.26, "word": " أرض", "probability": 0.9423828125}, {"start": 4487.26, "end": 4487.26, "word": " لانها", "probability": 0.9181315104166666}, {"start": 4487.26, "end": 4487.26, "word": " بيحقق", "probability": 0.94111328125}, {"start": 4487.26, "end": 4487.26, "word": " البلزان", "probability": 0.99267578125}, {"start": 4487.26, "end": 4487.26, "word": " انها", "probability": 0.87109375}, {"start": 4487.26, "end": 4487.28, "word": " مستمرة", "probability": 0.96923828125}, {"start": 4487.28, "end": 4487.28, "word": " على", "probability": 0.91259765625}, {"start": 4487.28, "end": 4487.28, "word": " اي", "probability": 0.70556640625}, {"start": 4487.28, "end": 4487.28, "word": " انتقال", "probability": 0.990234375}, {"start": 4487.28, "end": 4487.28, "word": " مغلق", "probability": 0.9786376953125}, {"start": 4487.28, "end": 4487.28, "word": " على", "probability": 0.94677734375}, {"start": 4487.28, "end": 4487.28, "word": " كل", "probability": 0.99560546875}, {"start": 4487.28, "end": 4487.28, "word": " أرض", "probability": 0.9453125}, {"start": 4487.28, "end": 4487.28, "word": " لانها", "probability": 0.9462890625}, {"start": 4487.28, "end": 4487.28, "word": " بيحقق", "probability": 0.96083984375}, {"start": 4487.28, "end": 4487.28, "word": " البلزان", "probability": 0.987548828125}, {"start": 4487.28, "end": 4487.28, "word": " انها", "probability": 0.885986328125}, {"start": 4487.28, "end": 4487.36, "word": " مستمرة", "probability": 0.9708251953125}, {"start": 4487.36, "end": 4487.38, "word": " على", "probability": 0.8818359375}, {"start": 4487.38, "end": 4487.38, "word": " اي", "probability": 0.763671875}, {"start": 4487.38, "end": 4487.38, "word": " انتقال", "probability": 0.989013671875}, {"start": 4487.38, "end": 4487.7, "word": " مغلق", "probability": 0.984375}, {"start": 4487.7, "end": 4487.7, "word": " على", "probability": 0.92529296875}, {"start": 4487.7, "end": 4487.7, "word": " كل", "probability": 0.99560546875}, {"start": 4487.7, "end": 4487.7, "word": " أرض", "probability": 0.94921875}, {"start": 4487.7, "end": 4487.8, "word": " لانها", "probability": 0.9736328125}, {"start": 4487.8, "end": 4487.8, "word": " بيحقق", "probability": 0.96953125}, {"start": 4487.8, "end": 4488.08, "word": " البلزان", "probability": 0.9859619140625}, {"start": 4488.08, "end": 4488.74, "word": " انها", "probability": 0.905029296875}, {"start": 4488.74, "end": 4488.74, "word": " مستمرة", "probability": 0.9686279296875}, {"start": 4488.74, "end": 4488.74, "word": " على", "probability": 0.88720703125}, {"start": 4488.74, "end": 4488.88, "word": " اي", "probability": 0.8115234375}, {"start": 4488.88, "end": 4489.0, "word": " انتقال", "probability": 0.98681640625}, {"start": 4489.0, "end": 4489.0, "word": " مغلق", "probability": 0.98828125}, {"start": 4489.0, "end": 4489.0, "word": " على", "probability": 0.9169921875}, {"start": 4489.0, "end": 4489.0, "word": " كل", "probability": 0.99560546875}, {"start": 4489.0, "end": 4489.0, "word": " أرض", "probability": 0.946044921875}, {"start": 4489.0, "end": 4489.0, "word": " لانها", "probability": 0.984375}, {"start": 4489.0, "end": 4489.0, "word": " بيحقق", "probability": 0.95888671875}, {"start": 4489.0, "end": 4489.1, "word": " البلزان", "probability": 0.9810791015625}, {"start": 4489.1, "end": 4489.1, "word": " انها", "probability": 0.915771484375}, {"start": 4489.1, "end": 4489.64, "word": " مستمرة", "probability": 0.94384765625}, {"start": 4489.64, "end": 4489.82, "word": " على", "probability": 0.89404296875}, {"start": 4489.82, "end": 4489.86, "word": " اي", "probability": 0.8681640625}, {"start": 4489.86, "end": 4489.86, "word": " انتقال", "probability": 0.986328125}, {"start": 4489.86, "end": 4490.0, "word": " مغلق", "probability": 0.990966796875}, {"start": 4490.0, "end": 4490.2, "word": " على", "probability": 0.9169921875}, {"start": 4490.2, "end": 4490.2, "word": " كل", "probability": 0.99609375}, {"start": 4490.2, "end": 4490.2, "word": " أرض", "probability": 0.93505859375}, {"start": 4490.2, "end": 4491.24, "word": " لانها", "probability": 0.9837239583333334}, {"start": 4491.24, "end": 4491.28, "word": " بيحقق", "probability": 0.93642578125}, {"start": 4491.28, "end": 4491.28, "word": " البلزان", "probability": 0.9713134765625}, {"start": 4491.28, "end": 4491.28, "word": " انها", "probability": 0.918212890625}, {"start": 4491.28, "end": 4491.28, "word": " مستمرة", "probability": 0.8460693359375}, {"start": 4491.28, "end": 4491.28, "word": " على", "probability": 0.8876953125}, {"start": 4491.28, "end": 4491.28, "word": " اي", "probability": 0.871826171875}, {"start": 4491.28, "end": 4491.28, "word": " انتق", "probability": 0.9786783854166666}], "temperature": 1.0}, {"id": 198, "seek": 451581, "start": 4491.31, "end": 4515.81, "text": "من سفر طيب مدام ال E of X أكبر من سفر و احنا بنعرف ان ال E prime of X بيتساوي E of X اذا صارت ال E prime أكبر من مين من سفر كل X element ال R ومن ثم هذا معناته ان E is strictly increasing on R اذا اللي هو المطلوب الأول أثبتناه ان E is strictly increasing on R طيب", "tokens": [27842, 8608, 5172, 2288, 23032, 1829, 3555, 3714, 3215, 10943, 2423, 462, 295, 1783, 5551, 4117, 26890, 9154, 8608, 5172, 2288, 4032, 1975, 5016, 8315, 44945, 3615, 28480, 16472, 2423, 462, 5835, 295, 1783, 4724, 1829, 2655, 3794, 995, 45865, 462, 295, 1783, 1975, 15730, 20328, 9640, 2655, 2423, 462, 5835, 5551, 4117, 26890, 9154, 3714, 9957, 9154, 8608, 5172, 2288, 28242, 1783, 4478, 2423, 497, 4032, 27842, 38637, 2304, 23758, 20449, 8315, 47395, 16472, 462, 307, 20792, 5662, 322, 497, 1975, 15730, 13672, 1829, 31439, 9673, 9566, 1211, 37746, 16247, 12610, 5551, 12984, 3555, 2655, 8315, 3224, 16472, 462, 307, 20792, 5662, 322, 497, 23032, 1829, 3555], "avg_logprob": -0.1961009223526771, "compression_ratio": 1.7897196261682242, "no_speech_prob": 4.9173831939697266e-05, "words": [{"start": 4491.31, "end": 4491.65, "word": "من", "probability": 0.53271484375}, {"start": 4491.65, "end": 4492.23, "word": " سفر", "probability": 0.6747233072916666}, {"start": 4492.23, "end": 4493.27, "word": " طيب", "probability": 0.8927408854166666}, {"start": 4493.27, "end": 4494.23, "word": " مدام", "probability": 0.8151041666666666}, {"start": 4494.23, "end": 4494.39, "word": " ال", "probability": 0.89306640625}, {"start": 4494.39, "end": 4494.51, "word": " E", "probability": 0.69091796875}, {"start": 4494.51, "end": 4494.63, "word": " of", "probability": 0.466064453125}, {"start": 4494.63, "end": 4494.81, "word": " X", "probability": 0.9658203125}, {"start": 4494.81, "end": 4495.09, "word": " أكبر", "probability": 0.94775390625}, {"start": 4495.09, "end": 4495.25, "word": " من", "probability": 0.99560546875}, {"start": 4495.25, "end": 4495.49, "word": " سفر", "probability": 0.9435221354166666}, {"start": 4495.49, "end": 4495.59, "word": " و", "probability": 0.7265625}, {"start": 4495.59, "end": 4495.71, "word": " احنا", "probability": 0.7723795572916666}, {"start": 4495.71, "end": 4496.07, "word": " بنعرف", "probability": 0.9169921875}, {"start": 4496.07, "end": 4496.19, "word": " ان", "probability": 0.638671875}, {"start": 4496.19, "end": 4496.33, "word": " ال", "probability": 0.5}, {"start": 4496.33, "end": 4496.43, "word": " E", "probability": 0.982421875}, {"start": 4496.43, "end": 4496.67, "word": " prime", "probability": 0.546875}, {"start": 4496.67, "end": 4496.81, "word": " of", "probability": 0.927734375}, {"start": 4496.81, "end": 4497.01, "word": " X", "probability": 0.98095703125}, {"start": 4497.01, "end": 4497.41, "word": " بيتساوي", "probability": 0.6689860026041666}, {"start": 4497.41, "end": 4497.57, "word": " E", "probability": 0.9794921875}, {"start": 4497.57, "end": 4497.71, "word": " of", "probability": 0.9697265625}, {"start": 4497.71, "end": 4498.01, "word": " X", "probability": 0.994140625}, {"start": 4498.01, "end": 4498.53, "word": " اذا", "probability": 0.6407470703125}, {"start": 4498.53, "end": 4498.93, "word": " صارت", "probability": 0.8909505208333334}, {"start": 4498.93, "end": 4499.01, "word": " ال", "probability": 0.89599609375}, {"start": 4499.01, "end": 4499.15, "word": " E", "probability": 0.9912109375}, {"start": 4499.15, "end": 4499.51, "word": " prime", "probability": 0.81005859375}, {"start": 4499.51, "end": 4499.93, "word": " أكبر", "probability": 0.9059244791666666}, {"start": 4499.93, "end": 4500.15, "word": " من", "probability": 0.958984375}, {"start": 4500.15, "end": 4500.47, "word": " مين", "probability": 0.87353515625}, {"start": 4500.47, "end": 4500.69, "word": " من", "probability": 0.91162109375}, {"start": 4500.69, "end": 4500.99, "word": " سفر", "probability": 0.96826171875}, {"start": 4500.99, "end": 4501.29, "word": " كل", "probability": 0.96142578125}, {"start": 4501.29, "end": 4501.55, "word": " X", "probability": 0.9453125}, {"start": 4501.55, "end": 4501.81, "word": " element", "probability": 0.406494140625}, {"start": 4501.81, "end": 4502.05, "word": " ال", "probability": 0.308349609375}, {"start": 4502.05, "end": 4502.19, "word": " R", "probability": 0.87939453125}, {"start": 4502.19, "end": 4502.87, "word": " ومن", "probability": 0.802490234375}, {"start": 4502.87, "end": 4503.19, "word": " ثم", "probability": 0.990234375}, {"start": 4503.19, "end": 4503.45, "word": " هذا", "probability": 0.91015625}, {"start": 4503.45, "end": 4503.89, "word": " معناته", "probability": 0.9656575520833334}, {"start": 4503.89, "end": 4504.03, "word": " ان", "probability": 0.81005859375}, {"start": 4504.03, "end": 4504.67, "word": " E", "probability": 0.7294921875}, {"start": 4504.67, "end": 4504.89, "word": " is", "probability": 0.828125}, {"start": 4504.89, "end": 4505.51, "word": " strictly", "probability": 0.9208984375}, {"start": 4505.51, "end": 4506.93, "word": " increasing", "probability": 0.951171875}, {"start": 4506.93, "end": 4507.47, "word": " on", "probability": 0.92041015625}, {"start": 4507.47, "end": 4507.65, "word": " R", "probability": 0.9931640625}, {"start": 4507.65, "end": 4507.87, "word": " اذا", "probability": 0.6942138671875}, {"start": 4507.87, "end": 4508.27, "word": " اللي", "probability": 0.880615234375}, {"start": 4508.27, "end": 4508.57, "word": " هو", "probability": 0.97998046875}, {"start": 4508.57, "end": 4510.07, "word": " المطلوب", "probability": 0.9473876953125}, {"start": 4510.07, "end": 4510.45, "word": " الأول", "probability": 0.843505859375}, {"start": 4510.45, "end": 4511.19, "word": " أثبتناه", "probability": 0.9335123697916666}, {"start": 4511.19, "end": 4511.33, "word": " ان", "probability": 0.791015625}, {"start": 4511.33, "end": 4511.81, "word": " E", "probability": 0.89990234375}, {"start": 4511.81, "end": 4512.67, "word": " is", "probability": 0.953125}, {"start": 4512.67, "end": 4513.29, "word": " strictly", "probability": 0.94677734375}, {"start": 4513.29, "end": 4514.07, "word": " increasing", "probability": 0.96923828125}, {"start": 4514.07, "end": 4514.55, "word": " on", "probability": 0.95654296875}, {"start": 4514.55, "end": 4515.11, "word": " R", "probability": 0.99609375}, {"start": 4515.11, "end": 4515.81, "word": " طيب", "probability": 0.9654947916666666}], "temperature": 1.0}, {"id": 199, "seek": 455018, "start": 4524.23, "end": 4550.19, "text": "عندي اتنين strictly increasing ال function مظبوط يعني اتنين اصغر من مين من اياش من ال E ليش لأن عندي الواحد E واحد او E of X", "tokens": [3615, 1863, 16254, 1975, 2655, 1863, 9957, 20792, 5662, 2423, 2445, 3714, 19913, 3555, 2407, 9566, 37495, 22653, 1975, 2655, 1863, 9957, 1975, 9381, 17082, 2288, 9154, 3714, 9957, 9154, 1975, 1829, 33599, 9154, 2423, 462, 32239, 8592, 5296, 33456, 18871, 16254, 2423, 14407, 24401, 462, 36764, 24401, 1975, 2407, 462, 295, 1783], "avg_logprob": -0.23871528384862123, "compression_ratio": 1.3571428571428572, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 4524.2300000000005, "end": 4525.63, "word": "عندي", "probability": 0.83203125}, {"start": 4525.63, "end": 4527.03, "word": " اتنين", "probability": 0.75762939453125}, {"start": 4527.03, "end": 4528.37, "word": " strictly", "probability": 0.5595703125}, {"start": 4528.37, "end": 4529.05, "word": " increasing", "probability": 0.96923828125}, {"start": 4529.05, "end": 4529.27, "word": " ال", "probability": 0.8935546875}, {"start": 4529.27, "end": 4529.61, "word": " function", "probability": 0.410888671875}, {"start": 4529.61, "end": 4530.25, "word": " مظبوط", "probability": 0.84033203125}, {"start": 4530.25, "end": 4531.09, "word": " يعني", "probability": 0.803466796875}, {"start": 4531.09, "end": 4533.59, "word": " اتنين", "probability": 0.873291015625}, {"start": 4533.59, "end": 4534.75, "word": " اصغر", "probability": 0.9034423828125}, {"start": 4534.75, "end": 4534.93, "word": " من", "probability": 0.990234375}, {"start": 4534.93, "end": 4535.43, "word": " مين", "probability": 0.943603515625}, {"start": 4535.43, "end": 4536.89, "word": " من", "probability": 0.796875}, {"start": 4536.89, "end": 4537.49, "word": " اياش", "probability": 0.6051432291666666}, {"start": 4537.49, "end": 4538.69, "word": " من", "probability": 0.9423828125}, {"start": 4538.69, "end": 4539.01, "word": " ال", "probability": 0.8974609375}, {"start": 4539.01, "end": 4539.29, "word": " E", "probability": 0.61865234375}, {"start": 4539.29, "end": 4540.31, "word": " ليش", "probability": 0.79052734375}, {"start": 4540.31, "end": 4541.51, "word": " لأن", "probability": 0.625732421875}, {"start": 4541.51, "end": 4541.99, "word": " عندي", "probability": 0.6783447265625}, {"start": 4541.99, "end": 4542.95, "word": " الواحد", "probability": 0.9352213541666666}, {"start": 4542.95, "end": 4544.75, "word": " E", "probability": 0.73876953125}, {"start": 4544.75, "end": 4546.23, "word": " واحد", "probability": 0.919677734375}, {"start": 4546.23, "end": 4548.19, "word": " او", "probability": 0.89990234375}, {"start": 4548.19, "end": 4548.49, "word": " E", "probability": 0.98388671875}, {"start": 4548.49, "end": 4549.09, "word": " of", "probability": 0.94580078125}, {"start": 4549.09, "end": 4550.19, "word": " X", "probability": 0.97314453125}], "temperature": 1.0}, {"id": 200, "seek": 456368, "start": 4551.61, "end": 4563.69, "text": "قلنا أ��غر strictly ولا أكبر strictly من واحد زاد X صح؟ هذه الكورولا remained تمانية تلاتة تلاتة اثبتناها إذا صار عند E of واحد", "tokens": [4587, 1211, 8315, 5551, 9381, 17082, 2288, 20792, 49429, 5551, 4117, 26890, 20792, 9154, 36764, 24401, 30767, 18513, 1783, 20328, 5016, 22807, 29538, 33251, 13063, 12610, 995, 12780, 46811, 7649, 10632, 6055, 1211, 9307, 3660, 6055, 1211, 9307, 3660, 1975, 12984, 3555, 2655, 8315, 11296, 11933, 15730, 20328, 9640, 43242, 462, 295, 36764, 24401], "avg_logprob": -0.30511364286596127, "compression_ratio": 1.3673469387755102, "no_speech_prob": 2.4378299713134766e-05, "words": [{"start": 4551.61, "end": 4552.11, "word": "قلنا", "probability": 0.5604654947916666}, {"start": 4552.11, "end": 4552.55, "word": " أصغر", "probability": 0.9327392578125}, {"start": 4552.55, "end": 4553.15, "word": " strictly", "probability": 0.80908203125}, {"start": 4553.15, "end": 4553.73, "word": " ولا", "probability": 0.349853515625}, {"start": 4553.73, "end": 4554.09, "word": " أكبر", "probability": 0.9619140625}, {"start": 4554.09, "end": 4554.53, "word": " strictly", "probability": 0.857421875}, {"start": 4554.53, "end": 4554.73, "word": " من", "probability": 0.9697265625}, {"start": 4554.73, "end": 4555.15, "word": " واحد", "probability": 0.77001953125}, {"start": 4555.15, "end": 4555.53, "word": " زاد", "probability": 0.727294921875}, {"start": 4555.53, "end": 4555.81, "word": " X", "probability": 0.486328125}, {"start": 4555.81, "end": 4557.19, "word": " صح؟", "probability": 0.6802571614583334}, {"start": 4557.19, "end": 4557.43, "word": " هذه", "probability": 0.53466796875}, {"start": 4557.43, "end": 4557.89, "word": " الكورولا", "probability": 0.73583984375}, {"start": 4557.89, "end": 4558.21, "word": " remained", "probability": 0.39111328125}, {"start": 4558.21, "end": 4559.43, "word": " تمانية", "probability": 0.75390625}, {"start": 4559.43, "end": 4559.83, "word": " تلاتة", "probability": 0.840576171875}, {"start": 4559.83, "end": 4560.31, "word": " تلاتة", "probability": 0.9744873046875}, {"start": 4560.31, "end": 4561.13, "word": " اثبتناها", "probability": 0.858642578125}, {"start": 4561.13, "end": 4561.93, "word": " إذا", "probability": 0.739501953125}, {"start": 4561.93, "end": 4562.27, "word": " صار", "probability": 0.857421875}, {"start": 4562.27, "end": 4562.47, "word": " عند", "probability": 0.671875}, {"start": 4562.47, "end": 4562.81, "word": " E", "probability": 0.3310546875}, {"start": 4562.81, "end": 4563.03, "word": " of", "probability": 0.7177734375}, {"start": 4563.03, "end": 4563.69, "word": " واحد", "probability": 0.98828125}], "temperature": 1.0}, {"id": 201, "seek": 459109, "start": 4564.75, "end": 4591.09, "text": "أكبر strictly من واحد زائد وا أكبر strictly من واحد زائد واحد وال E of واحد مين هو E أس واحد مش هيك اتفاجنا يعني هذا إياش اتنين يعني ال E أكبر strictly من مين من الاتنين اتفاجنا طيب اتفاجنا إذا صار عند ال E of اتنين أكبر strictly ال E أكبر من مين من اتنين خلينا نبدأ عليها هذه ال E أكبر من إياش من اتنين", "tokens": [10721, 4117, 26890, 20792, 9154, 36764, 24401, 30767, 16373, 3215, 36764, 5551, 4117, 26890, 20792, 9154, 36764, 24401, 30767, 16373, 3215, 36764, 24401, 16070, 462, 295, 36764, 24401, 3714, 9957, 31439, 462, 5551, 3794, 36764, 24401, 37893, 39896, 4117, 1975, 2655, 5172, 26108, 8315, 37495, 22653, 23758, 11933, 1829, 33599, 1975, 2655, 1863, 9957, 37495, 22653, 2423, 462, 5551, 4117, 26890, 20792, 9154, 3714, 9957, 9154, 2423, 9307, 1863, 9957, 1975, 2655, 5172, 26108, 8315, 23032, 1829, 3555, 1975, 2655, 5172, 26108, 8315, 11933, 15730, 20328, 9640, 43242, 2423, 462, 295, 1975, 2655, 1863, 9957, 5551, 4117, 26890, 20792, 2423, 462, 5551, 4117, 26890, 9154, 3714, 9957, 9154, 1975, 2655, 1863, 9957, 16490, 20292, 8315, 8717, 44510, 10721, 25894, 11296, 29538, 2423, 462, 5551, 4117, 26890, 9154, 11933, 1829, 33599, 9154, 1975, 2655, 1863, 9957], "avg_logprob": -0.17842371893279693, "compression_ratio": 2.5670103092783507, "no_speech_prob": 1.1324882507324219e-06, "words": [{"start": 4564.75, "end": 4565.25, "word": "أكبر", "probability": 0.8642578125}, {"start": 4565.25, "end": 4565.73, "word": " strictly", "probability": 0.90625}, {"start": 4565.73, "end": 4565.93, "word": " من", "probability": 0.99072265625}, {"start": 4565.93, "end": 4566.21, "word": " واحد", "probability": 0.787109375}, {"start": 4566.21, "end": 4566.59, "word": " زائد", "probability": 0.8907877604166666}, {"start": 4566.59, "end": 4566.77, "word": " وا", "probability": 0.8798828125}, {"start": 4566.77, "end": 4567.59, "word": " أكبر", "probability": 0.8347981770833334}, {"start": 4567.59, "end": 4568.05, "word": " strictly", "probability": 0.96533203125}, {"start": 4568.05, "end": 4568.37, "word": " من", "probability": 0.99072265625}, {"start": 4568.37, "end": 4569.73, "word": " واحد", "probability": 0.980712890625}, {"start": 4569.73, "end": 4570.05, "word": " زائد", "probability": 0.9632161458333334}, {"start": 4570.05, "end": 4570.45, "word": " واحد", "probability": 0.99072265625}, {"start": 4570.45, "end": 4571.03, "word": " وال", "probability": 0.457275390625}, {"start": 4571.03, "end": 4571.21, "word": " E", "probability": 0.51416015625}, {"start": 4571.21, "end": 4571.33, "word": " of", "probability": 0.369384765625}, {"start": 4571.33, "end": 4571.61, "word": " واحد", "probability": 0.990478515625}, {"start": 4571.61, "end": 4571.81, "word": " مين", "probability": 0.81591796875}, {"start": 4571.81, "end": 4572.21, "word": " هو", "probability": 0.95751953125}, {"start": 4572.21, "end": 4573.17, "word": " E", "probability": 0.8017578125}, {"start": 4573.17, "end": 4573.45, "word": " أس", "probability": 0.4775390625}, {"start": 4573.45, "end": 4573.97, "word": " واحد", "probability": 0.99072265625}, {"start": 4573.97, "end": 4574.27, "word": " مش", "probability": 0.403076171875}, {"start": 4574.27, "end": 4574.45, "word": " هيك", "probability": 0.617431640625}, {"start": 4574.45, "end": 4574.93, "word": " اتفاجنا", "probability": 0.78916015625}, {"start": 4574.93, "end": 4575.65, "word": " يعني", "probability": 0.84423828125}, {"start": 4575.65, "end": 4575.91, "word": " هذا", "probability": 0.7802734375}, {"start": 4575.91, "end": 4576.23, "word": " إياش", "probability": 0.5638427734375}, {"start": 4576.23, "end": 4576.51, "word": " اتنين", "probability": 0.8961181640625}, {"start": 4576.51, "end": 4576.75, "word": " يعني", "probability": 0.941650390625}, {"start": 4576.75, "end": 4576.93, "word": " ال", "probability": 0.86572265625}, {"start": 4576.93, "end": 4577.07, "word": " E", "probability": 0.92919921875}, {"start": 4577.07, "end": 4577.39, "word": " أكبر", "probability": 0.9807942708333334}, {"start": 4577.39, "end": 4577.87, "word": " strictly", "probability": 0.978515625}, {"start": 4577.87, "end": 4578.11, "word": " من", "probability": 0.9921875}, {"start": 4578.11, "end": 4578.53, "word": " مين", "probability": 0.7034912109375}, {"start": 4578.53, "end": 4579.15, "word": " من", "probability": 0.83349609375}, {"start": 4579.15, "end": 4579.65, "word": " الاتنين", "probability": 0.689453125}, {"start": 4579.65, "end": 4580.65, "word": " اتفاجنا", "probability": 0.8970703125}, {"start": 4580.65, "end": 4581.01, "word": " طيب", "probability": 0.873046875}, {"start": 4581.01, "end": 4581.87, "word": " اتفاجنا", "probability": 0.958984375}, {"start": 4581.87, "end": 4582.45, "word": " إذا", "probability": 0.77490234375}, {"start": 4582.45, "end": 4582.71, "word": " صار", "probability": 0.956787109375}, {"start": 4582.71, "end": 4582.89, "word": " عند", "probability": 0.9111328125}, {"start": 4582.89, "end": 4583.11, "word": " ال", "probability": 0.89794921875}, {"start": 4583.11, "end": 4583.31, "word": " E", "probability": 0.9921875}, {"start": 4583.31, "end": 4583.49, "word": " of", "probability": 0.7626953125}, {"start": 4583.49, "end": 4583.97, "word": " اتنين", "probability": 0.9151611328125}, {"start": 4583.97, "end": 4584.69, "word": " أكبر", "probability": 0.9697265625}, {"start": 4584.69, "end": 4585.49, "word": " strictly", "probability": 0.96630859375}, {"start": 4585.49, "end": 4585.77, "word": " ال", "probability": 0.75732421875}, {"start": 4585.77, "end": 4585.93, "word": " E", "probability": 0.98974609375}, {"start": 4585.93, "end": 4586.25, "word": " أكبر", "probability": 0.9775390625}, {"start": 4586.25, "end": 4586.41, "word": " من", "probability": 0.986328125}, {"start": 4586.41, "end": 4586.61, "word": " مين", "probability": 0.96142578125}, {"start": 4586.61, "end": 4586.79, "word": " من", "probability": 0.98095703125}, {"start": 4586.79, "end": 4587.15, "word": " اتنين", "probability": 0.9534912109375}, {"start": 4587.15, "end": 4587.83, "word": " خلينا", "probability": 0.763427734375}, {"start": 4587.83, "end": 4588.07, "word": " نبدأ", "probability": 0.9075520833333334}, {"start": 4588.07, "end": 4588.61, "word": " عليها", "probability": 0.838134765625}, {"start": 4588.61, "end": 4588.97, "word": " هذه", "probability": 0.65869140625}, {"start": 4588.97, "end": 4589.23, "word": " ال", "probability": 0.97412109375}, {"start": 4589.23, "end": 4589.41, "word": " E", "probability": 0.9921875}, {"start": 4589.41, "end": 4589.75, "word": " أكبر", "probability": 0.9715169270833334}, {"start": 4589.75, "end": 4589.95, "word": " من", "probability": 0.94775390625}, {"start": 4589.95, "end": 4590.35, "word": " إياش", "probability": 0.8722330729166666}, {"start": 4590.35, "end": 4590.69, "word": " من", "probability": 0.947265625}, {"start": 4590.69, "end": 4591.09, "word": " اتنين", "probability": 0.9693603515625}], "temperature": 1.0}, {"id": 202, "seek": 462034, "start": 4593.04, "end": 4620.34, "text": "الان اكيد عنده ال E of R اللي بيسوي E R ��و E N خليني اقول E N اكبر من اتنين هتكون اصغر اللي هي اكبر من اتنين أُس N الان as N goes to infinity اذا اكيد هذه هتروح لمين لإنفينيتي", "tokens": [6027, 7649, 1975, 4117, 25708, 43242, 3224, 2423, 462, 295, 497, 13672, 1829, 4724, 1829, 3794, 45865, 462, 497, 1975, 2407, 462, 426, 16490, 1211, 9957, 1829, 1975, 39648, 462, 426, 1975, 4117, 26890, 9154, 1975, 2655, 1863, 9957, 8032, 2655, 30544, 1975, 9381, 17082, 2288, 13672, 1829, 39896, 1975, 4117, 26890, 9154, 1975, 2655, 1863, 9957, 5551, 10859, 3794, 426, 2423, 7649, 382, 426, 1709, 281, 13202, 1975, 15730, 1975, 4117, 25708, 29538, 8032, 2655, 32887, 5016, 32767, 9957, 5296, 28814, 1863, 5172, 9957, 1829, 31371], "avg_logprob": -0.33771305598995904, "compression_ratio": 1.5786516853932584, "no_speech_prob": 8.344650268554688e-07, "words": [{"start": 4593.040000000001, "end": 4593.900000000001, "word": "الان", "probability": 0.7008056640625}, {"start": 4593.900000000001, "end": 4594.76, "word": " اكيد", "probability": 0.857421875}, {"start": 4594.76, "end": 4596.84, "word": " عنده", "probability": 0.5545654296875}, {"start": 4596.84, "end": 4597.48, "word": " ال", "probability": 0.82177734375}, {"start": 4597.48, "end": 4598.24, "word": " E", "probability": 0.6064453125}, {"start": 4598.24, "end": 4599.08, "word": " of", "probability": 0.76025390625}, {"start": 4599.08, "end": 4599.72, "word": " R", "probability": 0.947265625}, {"start": 4599.72, "end": 4600.36, "word": " اللي", "probability": 0.437744140625}, {"start": 4600.36, "end": 4600.74, "word": " بيسوي", "probability": 0.5264892578125}, {"start": 4600.74, "end": 4601.0, "word": " E", "probability": 0.5283203125}, {"start": 4601.0, "end": 4601.46, "word": " R", "probability": 0.5927734375}, {"start": 4601.46, "end": 4602.46, "word": " او", "probability": 0.800537109375}, {"start": 4602.46, "end": 4602.66, "word": " E", "probability": 0.88037109375}, {"start": 4602.66, "end": 4602.92, "word": " N", "probability": 0.8935546875}, {"start": 4602.92, "end": 4603.26, "word": " خليني", "probability": 0.7900390625}, {"start": 4603.26, "end": 4603.5, "word": " اقول", "probability": 0.7099609375}, {"start": 4603.5, "end": 4603.7, "word": " E", "probability": 0.873046875}, {"start": 4603.7, "end": 4603.96, "word": " N", "probability": 0.93359375}, {"start": 4603.96, "end": 4605.8, "word": " اكبر", "probability": 0.6764322916666666}, {"start": 4605.8, "end": 4605.96, "word": " من", "probability": 0.9072265625}, {"start": 4605.96, "end": 4606.66, "word": " اتنين", "probability": 0.88037109375}, {"start": 4606.66, "end": 4607.74, "word": " هتكون", "probability": 0.7957356770833334}, {"start": 4607.74, "end": 4608.44, "word": " اصغر", "probability": 0.9466552734375}, {"start": 4608.44, "end": 4609.82, "word": " اللي", "probability": 0.5985107421875}, {"start": 4609.82, "end": 4609.96, "word": " هي", "probability": 0.50830078125}, {"start": 4609.96, "end": 4610.46, "word": " اكبر", "probability": 0.8165690104166666}, {"start": 4610.46, "end": 4610.6, "word": " من", "probability": 0.98974609375}, {"start": 4610.6, "end": 4611.0, "word": " اتنين", "probability": 0.9796142578125}, {"start": 4611.0, "end": 4611.26, "word": " أُس", "probability": 0.6084798177083334}, {"start": 4611.26, "end": 4611.48, "word": " N", "probability": 0.6416015625}, {"start": 4611.48, "end": 4612.68, "word": " الان", "probability": 0.7227783203125}, {"start": 4612.68, "end": 4612.98, "word": " as", "probability": 0.56201171875}, {"start": 4612.98, "end": 4613.22, "word": " N", "probability": 0.83837890625}, {"start": 4613.22, "end": 4613.48, "word": " goes", "probability": 0.84716796875}, {"start": 4613.48, "end": 4613.7, "word": " to", "probability": 0.95654296875}, {"start": 4613.7, "end": 4614.28, "word": " infinity", "probability": 0.71728515625}, {"start": 4614.28, "end": 4617.68, "word": " اذا", "probability": 0.59515380859375}, {"start": 4617.68, "end": 4618.08, "word": " اكيد", "probability": 0.8525390625}, {"start": 4618.08, "end": 4618.32, "word": " هذه", "probability": 0.345703125}, {"start": 4618.32, "end": 4618.66, "word": " هتروح", "probability": 0.849365234375}, {"start": 4618.66, "end": 4619.26, "word": " لمين", "probability": 0.921630859375}, {"start": 4619.26, "end": 4620.34, "word": " لإنفينيتي", "probability": 0.7011369977678571}], "temperature": 1.0}, {"id": 203, "seek": 463953, "start": 4621.15, "end": 4639.53, "text": "والـ E نفسها اللي هي is strictly increasing is strictly increasing إذا ال E of X تبعتها برضه هتروح لمين ل Infinity لما X تروح إلى وين إلى مالة نهاية ليش لأن لكل L في X أكبر منها", "tokens": [2407, 6027, 39184, 462, 8717, 36178, 11296, 13672, 1829, 39896, 307, 20792, 5662, 307, 20792, 5662, 11933, 15730, 2423, 462, 295, 1783, 6055, 3555, 34268, 11296, 4724, 43042, 3224, 8032, 2655, 32887, 5016, 32767, 9957, 5296, 34762, 5296, 15042, 1783, 6055, 32887, 5016, 30731, 4032, 9957, 30731, 3714, 6027, 3660, 8717, 11296, 10632, 32239, 8592, 5296, 33456, 5296, 28820, 441, 8978, 1783, 5551, 4117, 26890, 9154, 11296], "avg_logprob": -0.2249540454324554, "compression_ratio": 1.4914285714285713, "no_speech_prob": 1.2516975402832031e-06, "words": [{"start": 4621.15, "end": 4621.71, "word": "والـ", "probability": 0.65087890625}, {"start": 4621.71, "end": 4621.95, "word": " E", "probability": 0.798828125}, {"start": 4621.95, "end": 4623.37, "word": " نفسها", "probability": 0.96435546875}, {"start": 4623.37, "end": 4623.99, "word": " اللي", "probability": 0.6798095703125}, {"start": 4623.99, "end": 4624.23, "word": " هي", "probability": 0.8779296875}, {"start": 4624.23, "end": 4624.43, "word": " is", "probability": 0.5830078125}, {"start": 4624.43, "end": 4625.09, "word": " strictly", "probability": 0.93115234375}, {"start": 4625.09, "end": 4626.15, "word": " increasing", "probability": 0.970703125}, {"start": 4626.15, "end": 4626.85, "word": " is", "probability": 0.489990234375}, {"start": 4626.85, "end": 4627.29, "word": " strictly", "probability": 0.96728515625}, {"start": 4627.29, "end": 4628.03, "word": " increasing", "probability": 0.986328125}, {"start": 4628.03, "end": 4628.75, "word": " إذا", "probability": 0.72314453125}, {"start": 4628.75, "end": 4628.99, "word": " ال", "probability": 0.5068359375}, {"start": 4628.99, "end": 4629.23, "word": " E", "probability": 0.61474609375}, {"start": 4629.23, "end": 4629.41, "word": " of", "probability": 0.8212890625}, {"start": 4629.41, "end": 4629.65, "word": " X", "probability": 0.97998046875}, {"start": 4629.65, "end": 4630.17, "word": " تبعتها", "probability": 0.8629150390625}, {"start": 4630.17, "end": 4630.45, "word": " برضه", "probability": 0.96728515625}, {"start": 4630.45, "end": 4630.81, "word": " هتروح", "probability": 0.9405517578125}, {"start": 4630.81, "end": 4631.35, "word": " لمين", "probability": 0.952880859375}, {"start": 4631.35, "end": 4631.53, "word": " ل", "probability": 0.61572265625}, {"start": 4631.53, "end": 4631.83, "word": " Infinity", "probability": 0.25244140625}, {"start": 4631.83, "end": 4632.15, "word": " لما", "probability": 0.882568359375}, {"start": 4632.15, "end": 4632.37, "word": " X", "probability": 0.96533203125}, {"start": 4632.37, "end": 4632.65, "word": " تروح", "probability": 0.9583333333333334}, {"start": 4632.65, "end": 4632.83, "word": " إلى", "probability": 0.8798828125}, {"start": 4632.83, "end": 4633.39, "word": " وين", "probability": 0.908203125}, {"start": 4633.39, "end": 4634.13, "word": " إلى", "probability": 0.619140625}, {"start": 4634.13, "end": 4634.57, "word": " مالة", "probability": 0.6182454427083334}, {"start": 4634.57, "end": 4634.93, "word": " نهاية", "probability": 0.841796875}, {"start": 4634.93, "end": 4635.49, "word": " ليش", "probability": 0.6575927734375}, {"start": 4635.49, "end": 4636.21, "word": " لأن", "probability": 0.783447265625}, {"start": 4636.21, "end": 4636.89, "word": " لكل", "probability": 0.912353515625}, {"start": 4636.89, "end": 4637.39, "word": " L", "probability": 0.71728515625}, {"start": 4637.39, "end": 4638.29, "word": " في", "probability": 0.84619140625}, {"start": 4638.29, "end": 4638.65, "word": " X", "probability": 0.66455078125}, {"start": 4638.65, "end": 4639.05, "word": " أكبر", "probability": 0.9744466145833334}, {"start": 4639.05, "end": 4639.53, "word": " منها", "probability": 0.98974609375}], "temperature": 1.0}, {"id": 204, "seek": 466453, "start": 4640.31, "end": 4664.53, "text": "بحيث انه اللي هو تصير E of X اللي هي بيساوي E to the X أكبر من E to the N لكل N في X أكبر منها بتصير E of X أكبر منها لأنها strictly increasing فلان لما تروح هذه إلى مالة نهاية الكبار تبعتها وهذه طبعا أكبر دايما موجودة هذا هتروح إلى أين برضه إلى مالة نهاية يعني limit ال E of X", "tokens": [3555, 5016, 1829, 12984, 16472, 3224, 13672, 1829, 31439, 6055, 9381, 13546, 462, 295, 1783, 13672, 1829, 39896, 4724, 1829, 3794, 995, 45865, 462, 281, 264, 1783, 5551, 4117, 26890, 9154, 462, 281, 264, 426, 5296, 28820, 426, 8978, 1783, 5551, 4117, 26890, 9154, 11296, 39894, 9381, 13546, 462, 295, 1783, 5551, 4117, 26890, 9154, 11296, 5296, 33456, 11296, 20792, 5662, 6156, 1211, 7649, 5296, 15042, 6055, 32887, 5016, 29538, 30731, 3714, 6027, 3660, 8717, 11296, 10632, 33251, 3555, 9640, 6055, 3555, 34268, 11296, 37037, 24192, 23032, 3555, 3615, 995, 5551, 4117, 26890, 11778, 47302, 15042, 3714, 29245, 23328, 3660, 23758, 8032, 2655, 32887, 5016, 30731, 5551, 9957, 4724, 43042, 3224, 30731, 3714, 6027, 3660, 8717, 11296, 10632, 37495, 22653, 4948, 2423, 462, 295, 1783], "avg_logprob": -0.2451636902396641, "compression_ratio": 1.896551724137931, "no_speech_prob": 1.3530254364013672e-05, "words": [{"start": 4640.31, "end": 4640.93, "word": "بحيث", "probability": 0.833740234375}, {"start": 4640.93, "end": 4641.43, "word": " انه", "probability": 0.463134765625}, {"start": 4641.43, "end": 4641.71, "word": " اللي", "probability": 0.776611328125}, {"start": 4641.71, "end": 4642.11, "word": " هو", "probability": 0.96875}, {"start": 4642.11, "end": 4642.91, "word": " تصير", "probability": 0.8904622395833334}, {"start": 4642.91, "end": 4643.39, "word": " E", "probability": 0.74169921875}, {"start": 4643.39, "end": 4643.83, "word": " of", "probability": 0.72607421875}, {"start": 4643.83, "end": 4644.27, "word": " X", "probability": 0.98388671875}, {"start": 4644.27, "end": 4644.57, "word": " اللي", "probability": 0.60760498046875}, {"start": 4644.57, "end": 4644.67, "word": " هي", "probability": 0.479736328125}, {"start": 4644.67, "end": 4645.03, "word": " بيساوي", "probability": 0.6765625}, {"start": 4645.03, "end": 4645.25, "word": " E", "probability": 0.93505859375}, {"start": 4645.25, "end": 4645.39, "word": " to", "probability": 0.89697265625}, {"start": 4645.39, "end": 4645.57, "word": " the", "probability": 0.5654296875}, {"start": 4645.57, "end": 4645.85, "word": " X", "probability": 0.98779296875}, {"start": 4645.85, "end": 4646.67, "word": " أكبر", "probability": 0.9337565104166666}, {"start": 4646.67, "end": 4646.93, "word": " من", "probability": 0.99169921875}, {"start": 4646.93, "end": 4647.35, "word": " E", "probability": 0.9755859375}, {"start": 4647.35, "end": 4647.71, "word": " to", "probability": 0.9189453125}, {"start": 4647.71, "end": 4647.87, "word": " the", "probability": 0.68896484375}, {"start": 4647.87, "end": 4648.03, "word": " N", "probability": 0.86865234375}, {"start": 4648.03, "end": 4649.23, "word": " لكل", "probability": 0.9609375}, {"start": 4649.23, "end": 4649.49, "word": " N", "probability": 0.78759765625}, {"start": 4649.49, "end": 4649.71, "word": " في", "probability": 0.85009765625}, {"start": 4649.71, "end": 4650.11, "word": " X", "probability": 0.6572265625}, {"start": 4650.11, "end": 4650.43, "word": " أكبر", "probability": 0.9755859375}, {"start": 4650.43, "end": 4650.81, "word": " منها", "probability": 0.99365234375}, {"start": 4650.81, "end": 4651.91, "word": " بتصير", "probability": 0.7986653645833334}, {"start": 4651.91, "end": 4652.07, "word": " E", "probability": 0.966796875}, {"start": 4652.07, "end": 4652.19, "word": " of", "probability": 0.94921875}, {"start": 4652.19, "end": 4652.39, "word": " X", "probability": 0.99560546875}, {"start": 4652.39, "end": 4652.63, "word": " أكبر", "probability": 0.96484375}, {"start": 4652.63, "end": 4652.83, "word": " منها", "probability": 0.885498046875}, {"start": 4652.83, "end": 4653.43, "word": " لأنها", "probability": 0.6705729166666666}, {"start": 4653.43, "end": 4653.85, "word": " strictly", "probability": 0.279296875}, {"start": 4653.85, "end": 4654.59, "word": " increasing", "probability": 0.9736328125}, {"start": 4654.59, "end": 4655.43, "word": " فلان", "probability": 0.6402587890625}, {"start": 4655.43, "end": 4655.57, "word": " لما", "probability": 0.91796875}, {"start": 4655.57, "end": 4655.87, "word": " تروح", "probability": 0.9964192708333334}, {"start": 4655.87, "end": 4656.07, "word": " هذه", "probability": 0.90087890625}, {"start": 4656.07, "end": 4656.27, "word": " إلى", "probability": 0.59619140625}, {"start": 4656.27, "end": 4656.55, "word": " مالة", "probability": 0.5629069010416666}, {"start": 4656.55, "end": 4657.13, "word": " نهاية", "probability": 0.93603515625}, {"start": 4657.13, "end": 4657.71, "word": " الكبار", "probability": 0.7252604166666666}, {"start": 4657.71, "end": 4658.23, "word": " تبعتها", "probability": 0.9141845703125}, {"start": 4658.23, "end": 4658.53, "word": " وهذه", "probability": 0.5941162109375}, {"start": 4658.53, "end": 4658.77, "word": " طبعا", "probability": 0.8341064453125}, {"start": 4658.77, "end": 4659.11, "word": " أكبر", "probability": 0.9332682291666666}, {"start": 4659.11, "end": 4659.61, "word": " دايما", "probability": 0.7689615885416666}, {"start": 4659.61, "end": 4660.21, "word": " موجودة", "probability": 0.9708251953125}, {"start": 4660.21, "end": 4660.65, "word": " هذا", "probability": 0.314697265625}, {"start": 4660.65, "end": 4661.03, "word": " هتروح", "probability": 0.9490966796875}, {"start": 4661.03, "end": 4661.17, "word": " إلى", "probability": 0.595703125}, {"start": 4661.17, "end": 4661.31, "word": " أين", "probability": 0.6943359375}, {"start": 4661.31, "end": 4661.77, "word": " برضه", "probability": 0.9736328125}, {"start": 4661.77, "end": 4662.01, "word": " إلى", "probability": 0.81396484375}, {"start": 4662.01, "end": 4662.27, "word": " مالة", "probability": 0.8546549479166666}, {"start": 4662.27, "end": 4662.49, "word": " نهاية", "probability": 0.9039713541666666}, {"start": 4662.49, "end": 4662.69, "word": " يعني", "probability": 0.8095703125}, {"start": 4662.69, "end": 4663.09, "word": " limit", "probability": 0.82177734375}, {"start": 4663.09, "end": 4663.71, "word": " ال", "probability": 0.441162109375}, {"start": 4663.71, "end": 4663.93, "word": " E", "probability": 0.7568359375}, {"start": 4663.93, "end": 4664.11, "word": " of", "probability": 0.97900390625}, {"start": 4664.11, "end": 4664.53, "word": " X", "probability": 0.99658203125}], "temperature": 1.0}, {"id": 205, "seek": 469112, "start": 4665.02, "end": 4691.12, "text": "لما X تروح إلى مالة نهاية بتساوي مالة نهاية وقلكم اللي هو لو تجربته اللي هو تثبته أنه بما أنه limit E of N بتروح إلى مالة نهاية by اللي هي limit definition إذا limit E of X لما X تروح إلى مالة نهاية بتساوي مالة نهاية الآن similarly for mean for اللي هو limit", "tokens": [1211, 15042, 1783, 6055, 32887, 5016, 30731, 3714, 6027, 3660, 8717, 11296, 10632, 39894, 3794, 995, 45865, 3714, 6027, 3660, 8717, 11296, 10632, 4032, 4587, 23275, 2304, 13672, 1829, 31439, 45164, 6055, 7435, 25513, 47395, 13672, 1829, 31439, 6055, 12984, 3555, 47395, 14739, 3224, 4724, 15042, 14739, 3224, 4948, 462, 295, 426, 39894, 32887, 5016, 30731, 3714, 6027, 3660, 8717, 11296, 10632, 538, 13672, 1829, 39896, 4948, 7123, 11933, 15730, 4948, 462, 295, 1783, 5296, 15042, 1783, 6055, 32887, 5016, 30731, 3714, 6027, 3660, 8717, 11296, 10632, 39894, 3794, 995, 45865, 3714, 6027, 3660, 8717, 11296, 10632, 6024, 48506, 14138, 337, 914, 337, 13672, 1829, 31439, 4948], "avg_logprob": -0.2067418911114887, "compression_ratio": 2.227777777777778, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 4665.02, "end": 4665.3, "word": "لما", "probability": 0.802490234375}, {"start": 4665.3, "end": 4665.54, "word": " X", "probability": 0.6572265625}, {"start": 4665.54, "end": 4665.86, "word": " تروح", "probability": 0.8046061197916666}, {"start": 4665.86, "end": 4666.02, "word": " إلى", "probability": 0.8408203125}, {"start": 4666.02, "end": 4666.26, "word": " مالة", "probability": 0.6124674479166666}, {"start": 4666.26, "end": 4666.66, "word": " نهاية", "probability": 0.9296875}, {"start": 4666.66, "end": 4667.2, "word": " بتساوي", "probability": 0.8114013671875}, {"start": 4667.2, "end": 4667.52, "word": " مالة", "probability": 0.9269205729166666}, {"start": 4667.52, "end": 4667.86, "word": " نهاية", "probability": 0.9484049479166666}, {"start": 4667.86, "end": 4668.76, "word": " وقلكم", "probability": 0.63702392578125}, {"start": 4668.76, "end": 4668.98, "word": " اللي", "probability": 0.886962890625}, {"start": 4668.98, "end": 4669.36, "word": " هو", "probability": 0.9677734375}, {"start": 4669.36, "end": 4669.9, "word": " لو", "probability": 0.7607421875}, {"start": 4669.9, "end": 4671.14, "word": " تجربته", "probability": 0.705322265625}, {"start": 4671.14, "end": 4671.4, "word": " اللي", "probability": 0.818603515625}, {"start": 4671.4, "end": 4671.74, "word": " هو", "probability": 0.921875}, {"start": 4671.74, "end": 4672.62, "word": " تثبته", "probability": 0.76837158203125}, {"start": 4672.62, "end": 4672.98, "word": " أنه", "probability": 0.630126953125}, {"start": 4672.98, "end": 4673.22, "word": " بما", "probability": 0.894775390625}, {"start": 4673.22, "end": 4673.42, "word": " أنه", "probability": 0.802734375}, {"start": 4673.42, "end": 4673.7, "word": " limit", "probability": 0.904296875}, {"start": 4673.7, "end": 4673.92, "word": " E", "probability": 0.6904296875}, {"start": 4673.92, "end": 4674.04, "word": " of", "probability": 0.19775390625}, {"start": 4674.04, "end": 4674.1, "word": " N", "probability": 0.8544921875}, {"start": 4674.1, "end": 4674.48, "word": " بتروح", "probability": 0.9625651041666666}, {"start": 4674.48, "end": 4674.64, "word": " إلى", "probability": 0.8828125}, {"start": 4674.64, "end": 4674.94, "word": " مالة", "probability": 0.92822265625}, {"start": 4674.94, "end": 4675.92, "word": " نهاية", "probability": 0.9568684895833334}, {"start": 4675.92, "end": 4676.76, "word": " by", "probability": 0.44775390625}, {"start": 4676.76, "end": 4677.02, "word": " اللي", "probability": 0.896240234375}, {"start": 4677.02, "end": 4677.36, "word": " هي", "probability": 0.76953125}, {"start": 4677.36, "end": 4678.24, "word": " limit", "probability": 0.83837890625}, {"start": 4678.24, "end": 4678.84, "word": " definition", "probability": 0.8037109375}, {"start": 4678.84, "end": 4679.52, "word": " إذا", "probability": 0.836181640625}, {"start": 4679.52, "end": 4679.86, "word": " limit", "probability": 0.80517578125}, {"start": 4679.86, "end": 4680.06, "word": " E", "probability": 0.82373046875}, {"start": 4680.06, "end": 4680.16, "word": " of", "probability": 0.9375}, {"start": 4680.16, "end": 4680.36, "word": " X", "probability": 0.99462890625}, {"start": 4680.36, "end": 4680.54, "word": " لما", "probability": 0.974853515625}, {"start": 4680.54, "end": 4680.7, "word": " X", "probability": 0.97900390625}, {"start": 4680.7, "end": 4681.02, "word": " تروح", "probability": 0.9915364583333334}, {"start": 4681.02, "end": 4681.16, "word": " إلى", "probability": 0.87060546875}, {"start": 4681.16, "end": 4682.02, "word": " مالة", "probability": 0.9337565104166666}, {"start": 4682.02, "end": 4682.38, "word": " نهاية", "probability": 0.9163411458333334}, {"start": 4682.38, "end": 4683.02, "word": " بتساوي", "probability": 0.959716796875}, {"start": 4683.02, "end": 4683.7, "word": " مالة", "probability": 0.9694010416666666}, {"start": 4683.7, "end": 4684.06, "word": " نهاية", "probability": 0.9461263020833334}, {"start": 4684.06, "end": 4685.14, "word": " الآن", "probability": 0.6317138671875}, {"start": 4685.14, "end": 4685.56, "word": " similarly", "probability": 0.59228515625}, {"start": 4685.56, "end": 4685.96, "word": " for", "probability": 0.93701171875}, {"start": 4685.96, "end": 4686.4, "word": " mean", "probability": 0.61376953125}, {"start": 4686.4, "end": 4687.48, "word": " for", "probability": 0.7333984375}, {"start": 4687.48, "end": 4687.66, "word": " اللي", "probability": 0.98828125}, {"start": 4687.66, "end": 4688.08, "word": " هو", "probability": 0.9931640625}, {"start": 4688.08, "end": 4691.12, "word": " limit", "probability": 0.94140625}], "temperature": 1.0}, {"id": 206, "seek": 471342, "start": 4692.62, "end": 4713.42, "text": "الـ E of X لما X تروح لسالب ملا نهاية هذه الان بيصير اتنين أو minus N أكبر من E أو minus N ماشي الحال الان ال limit لهذه as N goes to infinity أكبر أو ساوي ال limit لهذه as N goes to infinity الان", "tokens": [6027, 39184, 462, 295, 1783, 5296, 15042, 1783, 6055, 32887, 5016, 5296, 3794, 6027, 3555, 3714, 15040, 8717, 11296, 10632, 29538, 2423, 7649, 4724, 1829, 9381, 13546, 1975, 2655, 1863, 9957, 34051, 3175, 426, 5551, 4117, 26890, 9154, 462, 34051, 3175, 426, 3714, 33599, 1829, 21542, 6027, 2423, 7649, 2423, 4948, 46740, 24192, 382, 426, 1709, 281, 13202, 5551, 4117, 26890, 34051, 8608, 995, 45865, 2423, 4948, 46740, 24192, 382, 426, 1709, 281, 13202, 2423, 7649], "avg_logprob": -0.3029626685303527, "compression_ratio": 1.7065868263473054, "no_speech_prob": 3.331899642944336e-05, "words": [{"start": 4692.62, "end": 4693.06, "word": "الـ", "probability": 0.5235595703125}, {"start": 4693.06, "end": 4693.2, "word": " E", "probability": 0.76953125}, {"start": 4693.2, "end": 4693.4, "word": " of", "probability": 0.469970703125}, {"start": 4693.4, "end": 4693.64, "word": " X", "probability": 0.97216796875}, {"start": 4693.64, "end": 4693.84, "word": " لما", "probability": 0.6607666015625}, {"start": 4693.84, "end": 4694.02, "word": " X", "probability": 0.89990234375}, {"start": 4694.02, "end": 4694.28, "word": " تروح", "probability": 0.9065755208333334}, {"start": 4694.28, "end": 4694.7, "word": " لسالب", "probability": 0.64227294921875}, {"start": 4694.7, "end": 4694.9, "word": " ملا", "probability": 0.538818359375}, {"start": 4694.9, "end": 4695.46, "word": " نهاية", "probability": 0.8981119791666666}, {"start": 4695.46, "end": 4696.26, "word": " هذه", "probability": 0.430419921875}, {"start": 4696.26, "end": 4696.56, "word": " الان", "probability": 0.478759765625}, {"start": 4696.56, "end": 4696.94, "word": " بيصير", "probability": 0.8638916015625}, {"start": 4696.94, "end": 4697.78, "word": " اتنين", "probability": 0.79632568359375}, {"start": 4697.78, "end": 4698.74, "word": " أو", "probability": 0.175537109375}, {"start": 4698.74, "end": 4699.14, "word": " minus", "probability": 0.337890625}, {"start": 4699.14, "end": 4699.52, "word": " N", "probability": 0.80224609375}, {"start": 4699.52, "end": 4700.18, "word": " أكبر", "probability": 0.88525390625}, {"start": 4700.18, "end": 4700.42, "word": " من", "probability": 0.97216796875}, {"start": 4700.42, "end": 4700.64, "word": " E", "probability": 0.9638671875}, {"start": 4700.64, "end": 4700.8, "word": " أو", "probability": 0.75927734375}, {"start": 4700.8, "end": 4701.16, "word": " minus", "probability": 0.80322265625}, {"start": 4701.16, "end": 4701.56, "word": " N", "probability": 0.9814453125}, {"start": 4701.56, "end": 4702.84, "word": " ماشي", "probability": 0.85693359375}, {"start": 4702.84, "end": 4703.28, "word": " الحال", "probability": 0.954345703125}, {"start": 4703.28, "end": 4704.2, "word": " الان", "probability": 0.7333984375}, {"start": 4704.2, "end": 4704.58, "word": " ال", "probability": 0.779296875}, {"start": 4704.58, "end": 4704.86, "word": " limit", "probability": 0.923828125}, {"start": 4704.86, "end": 4705.5, "word": " لهذه", "probability": 0.8759765625}, {"start": 4705.5, "end": 4706.96, "word": " as", "probability": 0.716796875}, {"start": 4706.96, "end": 4707.12, "word": " N", "probability": 0.9130859375}, {"start": 4707.12, "end": 4707.36, "word": " goes", "probability": 0.908203125}, {"start": 4707.36, "end": 4707.5, "word": " to", "probability": 0.93212890625}, {"start": 4707.5, "end": 4708.0, "word": " infinity", "probability": 0.8232421875}, {"start": 4708.0, "end": 4708.88, "word": " أكبر", "probability": 0.9342447916666666}, {"start": 4708.88, "end": 4709.02, "word": " أو", "probability": 0.5029296875}, {"start": 4709.02, "end": 4709.22, "word": " ساوي", "probability": 0.59521484375}, {"start": 4709.22, "end": 4709.34, "word": " ال", "probability": 0.86376953125}, {"start": 4709.34, "end": 4709.58, "word": " limit", "probability": 0.97216796875}, {"start": 4709.58, "end": 4710.14, "word": " لهذه", "probability": 0.990234375}, {"start": 4710.14, "end": 4710.94, "word": " as", "probability": 0.93408203125}, {"start": 4710.94, "end": 4711.1, "word": " N", "probability": 0.9814453125}, {"start": 4711.1, "end": 4711.34, "word": " goes", "probability": 0.95556640625}, {"start": 4711.34, "end": 4711.48, "word": " to", "probability": 0.97021484375}, {"start": 4711.48, "end": 4711.94, "word": " infinity", "probability": 0.875}, {"start": 4711.94, "end": 4713.42, "word": " الان", "probability": 0.725830078125}], "temperature": 1.0}, {"id": 207, "seek": 472738, "start": 4715.3, "end": 4727.38, "text": "هذه اش مالها بيساوي سفر وهذه اوتوماتيك هيساوي ايش؟ هيساوي سفر الان as N goes to infinity يعني ال E to the minus N بتروح للسفر من وين؟", "tokens": [3224, 24192, 1975, 8592, 3714, 6027, 11296, 4724, 1829, 3794, 995, 45865, 8608, 5172, 2288, 37037, 24192, 1975, 35473, 20498, 9307, 1829, 4117, 39896, 3794, 995, 45865, 1975, 1829, 8592, 22807, 39896, 3794, 995, 45865, 8608, 5172, 2288, 2423, 7649, 382, 426, 1709, 281, 13202, 37495, 22653, 2423, 462, 281, 264, 3175, 426, 39894, 32887, 5016, 24976, 3794, 5172, 2288, 9154, 4032, 9957, 22807], "avg_logprob": -0.3278846153846154, "compression_ratio": 1.4189189189189189, "no_speech_prob": 8.344650268554688e-07, "words": [{"start": 4715.3, "end": 4715.76, "word": "هذه", "probability": 0.62060546875}, {"start": 4715.76, "end": 4716.02, "word": " اش", "probability": 0.4566650390625}, {"start": 4716.02, "end": 4716.64, "word": " مالها", "probability": 0.8746744791666666}, {"start": 4716.64, "end": 4717.14, "word": " بيساوي", "probability": 0.67906494140625}, {"start": 4717.14, "end": 4717.54, "word": " سفر", "probability": 0.749755859375}, {"start": 4717.54, "end": 4718.48, "word": " وهذه", "probability": 0.791259765625}, {"start": 4718.48, "end": 4718.9, "word": " اوتوماتيك", "probability": 0.7228800455729166}, {"start": 4718.9, "end": 4719.4, "word": " هيساوي", "probability": 0.82427978515625}, {"start": 4719.4, "end": 4720.1, "word": " ايش؟", "probability": 0.545013427734375}, {"start": 4720.1, "end": 4720.62, "word": " هيساوي", "probability": 0.9117431640625}, {"start": 4720.62, "end": 4721.1, "word": " سفر", "probability": 0.9763997395833334}, {"start": 4721.1, "end": 4722.32, "word": " الان", "probability": 0.7042236328125}, {"start": 4722.32, "end": 4722.76, "word": " as", "probability": 0.6025390625}, {"start": 4722.76, "end": 4723.0, "word": " N", "probability": 0.348876953125}, {"start": 4723.0, "end": 4723.36, "word": " goes", "probability": 0.884765625}, {"start": 4723.36, "end": 4723.56, "word": " to", "probability": 0.958984375}, {"start": 4723.56, "end": 4724.02, "word": " infinity", "probability": 0.8466796875}, {"start": 4724.02, "end": 4724.34, "word": " يعني", "probability": 0.897216796875}, {"start": 4724.34, "end": 4724.52, "word": " ال", "probability": 0.716796875}, {"start": 4724.52, "end": 4724.7, "word": " E", "probability": 0.73046875}, {"start": 4724.7, "end": 4724.84, "word": " to", "probability": 0.2371826171875}, {"start": 4724.84, "end": 4724.94, "word": " the", "probability": 0.35302734375}, {"start": 4724.94, "end": 4725.24, "word": " minus", "probability": 0.9189453125}, {"start": 4725.24, "end": 4725.54, "word": " N", "probability": 0.96435546875}, {"start": 4725.54, "end": 4725.96, "word": " بتروح", "probability": 0.927734375}, {"start": 4725.96, "end": 4726.48, "word": " للسفر", "probability": 0.86865234375}, {"start": 4726.48, "end": 4726.66, "word": " من", "probability": 0.984375}, {"start": 4726.66, "end": 4727.38, "word": " وين؟", "probability": 0.9104817708333334}], "temperature": 1.0}, {"id": 208, "seek": 475638, "start": 4728.2, "end": 4756.38, "text": "من اليمين، مظبوط أو تروح للـ Zero، مظبوط لأن at E minus N تروح لما لنهاية As N goes to infinity E to the minus N تروح لإنفينيتي لأن as X بتروح إلى سالب ما لنهاية ال E to the minus X برضه هتروح إلى وين؟ إلى السفر يعني ال E to the X نفسها لما ناخد ال limit لما X تروح بدل ما لنهاية تروح إلى مين؟ سالب ما لنهاية برضه هتساوي إيش؟ السفر", "tokens": [27842, 2423, 32640, 9957, 12399, 3714, 19913, 3555, 2407, 9566, 34051, 6055, 32887, 5016, 24976, 39184, 17182, 12399, 3714, 19913, 3555, 2407, 9566, 5296, 33456, 412, 462, 3175, 426, 6055, 32887, 5016, 5296, 15042, 5296, 1863, 11296, 10632, 1018, 426, 1709, 281, 13202, 462, 281, 264, 3175, 426, 6055, 32887, 5016, 5296, 28814, 1863, 5172, 9957, 1829, 31371, 5296, 33456, 382, 1783, 39894, 32887, 5016, 30731, 8608, 6027, 3555, 19446, 5296, 1863, 11296, 10632, 2423, 462, 281, 264, 3175, 1783, 4724, 43042, 3224, 8032, 2655, 32887, 5016, 30731, 4032, 9957, 22807, 30731, 21136, 5172, 2288, 37495, 22653, 2423, 462, 281, 264, 1783, 8717, 36178, 11296, 5296, 15042, 8717, 47283, 3215, 2423, 4948, 5296, 15042, 1783, 6055, 32887, 5016, 47525, 1211, 19446, 5296, 1863, 11296, 10632, 6055, 32887, 5016, 30731, 3714, 9957, 22807, 8608, 6027, 3555, 19446, 5296, 1863, 11296, 10632, 4724, 43042, 3224, 8032, 2655, 3794, 995, 45865, 11933, 1829, 8592, 22807, 21136, 5172, 2288], "avg_logprob": -0.18479567450972703, "compression_ratio": 2.105691056910569, "no_speech_prob": 2.682209014892578e-06, "words": [{"start": 4728.2, "end": 4728.48, "word": "من", "probability": 0.74951171875}, {"start": 4728.48, "end": 4729.14, "word": " اليمين،", "probability": 0.7161865234375}, {"start": 4729.14, "end": 4729.58, "word": " مظبوط", "probability": 0.806005859375}, {"start": 4729.58, "end": 4729.72, "word": " أو", "probability": 0.61474609375}, {"start": 4729.72, "end": 4729.98, "word": " تروح", "probability": 0.8204752604166666}, {"start": 4729.98, "end": 4730.22, "word": " للـ", "probability": 0.689697265625}, {"start": 4730.22, "end": 4730.44, "word": " Zero،", "probability": 0.45751953125}, {"start": 4730.44, "end": 4730.9, "word": " مظبوط", "probability": 0.98251953125}, {"start": 4730.9, "end": 4731.46, "word": " لأن", "probability": 0.5994873046875}, {"start": 4731.46, "end": 4731.78, "word": " at", "probability": 0.3759765625}, {"start": 4731.78, "end": 4732.0, "word": " E", "probability": 0.400146484375}, {"start": 4732.0, "end": 4732.36, "word": " minus", "probability": 0.62890625}, {"start": 4732.36, "end": 4732.52, "word": " N", "probability": 0.90771484375}, {"start": 4732.52, "end": 4732.82, "word": " تروح", "probability": 0.88330078125}, {"start": 4732.82, "end": 4733.06, "word": " لما", "probability": 0.59619140625}, {"start": 4733.06, "end": 4733.72, "word": " لنهاية", "probability": 0.80859375}, {"start": 4733.72, "end": 4735.78, "word": " As", "probability": 0.171875}, {"start": 4735.78, "end": 4736.0, "word": " N", "probability": 0.89404296875}, {"start": 4736.0, "end": 4736.16, "word": " goes", "probability": 0.86181640625}, {"start": 4736.16, "end": 4736.26, "word": " to", "probability": 0.9599609375}, {"start": 4736.26, "end": 4736.52, "word": " infinity", "probability": 0.71142578125}, {"start": 4736.52, "end": 4736.66, "word": " E", "probability": 0.59130859375}, {"start": 4736.66, "end": 4736.76, "word": " to", "probability": 0.91015625}, {"start": 4736.76, "end": 4736.86, "word": " the", "probability": 0.8681640625}, {"start": 4736.86, "end": 4737.06, "word": " minus", "probability": 0.96826171875}, {"start": 4737.06, "end": 4737.2, "word": " N", "probability": 0.9697265625}, {"start": 4737.2, "end": 4737.44, "word": " تروح", "probability": 0.8567708333333334}, {"start": 4737.44, "end": 4737.96, "word": " لإنفينيتي", "probability": 0.743896484375}, {"start": 4737.96, "end": 4738.62, "word": " لأن", "probability": 0.918701171875}, {"start": 4738.62, "end": 4738.94, "word": " as", "probability": 0.587890625}, {"start": 4738.94, "end": 4739.28, "word": " X", "probability": 0.97119140625}, {"start": 4739.28, "end": 4739.9, "word": " بتروح", "probability": 0.9140625}, {"start": 4739.9, "end": 4740.22, "word": " إلى", "probability": 0.97314453125}, {"start": 4740.22, "end": 4740.72, "word": " سالب", "probability": 0.8450520833333334}, {"start": 4740.72, "end": 4740.92, "word": " ما", "probability": 0.931640625}, {"start": 4740.92, "end": 4742.72, "word": " لنهاية", "probability": 0.9246826171875}, {"start": 4742.72, "end": 4743.26, "word": " ال", "probability": 0.6318359375}, {"start": 4743.26, "end": 4743.46, "word": " E", "probability": 0.90283203125}, {"start": 4743.46, "end": 4743.54, "word": " to", "probability": 0.97216796875}, {"start": 4743.54, "end": 4743.68, "word": " the", "probability": 0.90380859375}, {"start": 4743.68, "end": 4743.88, "word": " minus", "probability": 0.98388671875}, {"start": 4743.88, "end": 4744.16, "word": " X", "probability": 0.9892578125}, {"start": 4744.16, "end": 4744.44, "word": " برضه", "probability": 0.9345703125}, {"start": 4744.44, "end": 4744.86, "word": " هتروح", "probability": 0.9210205078125}, {"start": 4744.86, "end": 4745.04, "word": " إلى", "probability": 0.74072265625}, {"start": 4745.04, "end": 4746.02, "word": " وين؟", "probability": 0.7664388020833334}, {"start": 4746.02, "end": 4746.22, "word": " إلى", "probability": 0.91552734375}, {"start": 4746.22, "end": 4746.74, "word": " السفر", "probability": 0.83935546875}, {"start": 4746.74, "end": 4747.56, "word": " يعني", "probability": 0.86181640625}, {"start": 4747.56, "end": 4747.72, "word": " ال", "probability": 0.90380859375}, {"start": 4747.72, "end": 4747.88, "word": " E", "probability": 0.97216796875}, {"start": 4747.88, "end": 4748.0, "word": " to", "probability": 0.9775390625}, {"start": 4748.0, "end": 4748.14, "word": " the", "probability": 0.89453125}, {"start": 4748.14, "end": 4748.38, "word": " X", "probability": 0.99267578125}, {"start": 4748.38, "end": 4749.1, "word": " نفسها", "probability": 0.9962565104166666}, {"start": 4749.1, "end": 4749.64, "word": " لما", "probability": 0.913818359375}, {"start": 4749.64, "end": 4750.02, "word": " ناخد", "probability": 0.9881184895833334}, {"start": 4750.02, "end": 4750.16, "word": " ال", "probability": 0.9521484375}, {"start": 4750.16, "end": 4750.42, "word": " limit", "probability": 0.93017578125}, {"start": 4750.42, "end": 4750.7, "word": " لما", "probability": 0.892822265625}, {"start": 4750.7, "end": 4750.92, "word": " X", "probability": 0.97314453125}, {"start": 4750.92, "end": 4751.22, "word": " تروح", "probability": 0.9864908854166666}, {"start": 4751.22, "end": 4751.56, "word": " بدل", "probability": 0.9150390625}, {"start": 4751.56, "end": 4751.68, "word": " ما", "probability": 0.953125}, {"start": 4751.68, "end": 4752.1, "word": " لنهاية", "probability": 0.921630859375}, {"start": 4752.1, "end": 4752.4, "word": " تروح", "probability": 0.947265625}, {"start": 4752.4, "end": 4752.54, "word": " إلى", "probability": 0.97265625}, {"start": 4752.54, "end": 4753.34, "word": " مين؟", "probability": 0.8841145833333334}, {"start": 4753.34, "end": 4753.72, "word": " سالب", "probability": 0.9899088541666666}, {"start": 4753.72, "end": 4753.84, "word": " ما", "probability": 0.97509765625}, {"start": 4753.84, "end": 4754.3, "word": " لنهاية", "probability": 0.9500732421875}, {"start": 4754.3, "end": 4754.58, "word": " برضه", "probability": 0.9228515625}, {"start": 4754.58, "end": 4755.06, "word": " هتساوي", "probability": 0.8671875}, {"start": 4755.06, "end": 4755.84, "word": " إيش؟", "probability": 0.852783203125}, {"start": 4755.84, "end": 4756.38, "word": " السفر", "probability": 0.9527994791666666}], "temperature": 1.0}, {"id": 209, "seek": 477422, "start": 4756.82, "end": 4774.22, "text": "إذا صار عندى limit E ضو X لما X تروح السلمة لها يابسة أو سفر و بعتمد على اللى هو الجهتين على ال strictly increasing تبع ال E و التفاصيل اللى هى ال definition بتظهر عندكم أنا مافصلتاش لإنه هو إيه هذا القائم", "tokens": [28814, 15730, 20328, 9640, 43242, 7578, 4948, 462, 48812, 2407, 1783, 5296, 15042, 1783, 6055, 32887, 5016, 21136, 19528, 3660, 5296, 11296, 7251, 16758, 3794, 3660, 34051, 8608, 5172, 2288, 4032, 4724, 34268, 2304, 3215, 15844, 13672, 7578, 31439, 25724, 3224, 2655, 9957, 15844, 2423, 20792, 5662, 6055, 3555, 3615, 2423, 462, 4032, 16712, 5172, 33546, 26895, 13672, 7578, 8032, 7578, 2423, 7123, 39894, 19913, 3224, 2288, 43242, 24793, 41850, 19446, 5172, 36520, 2655, 33599, 5296, 28814, 1863, 3224, 31439, 11933, 1829, 3224, 23758, 25062, 16373, 2304], "avg_logprob": -0.408025575293736, "compression_ratio": 1.5687203791469195, "no_speech_prob": 0.0010128021240234375, "words": [{"start": 4756.82, "end": 4757.12, "word": "إذا", "probability": 0.5255126953125}, {"start": 4757.12, "end": 4757.42, "word": " صار", "probability": 0.6605224609375}, {"start": 4757.42, "end": 4757.76, "word": " عندى", "probability": 0.603759765625}, {"start": 4757.76, "end": 4758.16, "word": " limit", "probability": 0.685546875}, {"start": 4758.16, "end": 4758.74, "word": " E", "probability": 0.2138671875}, {"start": 4758.74, "end": 4758.98, "word": " ضو", "probability": 0.1485137939453125}, {"start": 4758.98, "end": 4759.42, "word": " X", "probability": 0.63037109375}, {"start": 4759.42, "end": 4760.04, "word": " لما", "probability": 0.6531982421875}, {"start": 4760.04, "end": 4760.2, "word": " X", "probability": 0.89794921875}, {"start": 4760.2, "end": 4760.42, "word": " تروح", "probability": 0.9186197916666666}, {"start": 4760.42, "end": 4760.8, "word": " السلمة", "probability": 0.5220540364583334}, {"start": 4760.8, "end": 4761.0, "word": " لها", "probability": 0.6298828125}, {"start": 4761.0, "end": 4761.38, "word": " يابسة", "probability": 0.6455078125}, {"start": 4761.38, "end": 4761.44, "word": " أو", "probability": 0.50341796875}, {"start": 4761.44, "end": 4761.76, "word": " سفر", "probability": 0.89111328125}, {"start": 4761.76, "end": 4762.18, "word": " و", "probability": 0.53125}, {"start": 4762.18, "end": 4762.78, "word": " بعتمد", "probability": 0.82763671875}, {"start": 4762.78, "end": 4763.1, "word": " على", "probability": 0.79736328125}, {"start": 4763.1, "end": 4763.36, "word": " اللى", "probability": 0.783935546875}, {"start": 4763.36, "end": 4763.56, "word": " هو", "probability": 0.80322265625}, {"start": 4763.56, "end": 4764.04, "word": " الجهتين", "probability": 0.9024658203125}, {"start": 4764.04, "end": 4764.24, "word": " على", "probability": 0.64599609375}, {"start": 4764.24, "end": 4764.38, "word": " ال", "probability": 0.8603515625}, {"start": 4764.38, "end": 4764.8, "word": " strictly", "probability": 0.6103515625}, {"start": 4764.8, "end": 4765.44, "word": " increasing", "probability": 0.9736328125}, {"start": 4765.44, "end": 4765.82, "word": " تبع", "probability": 0.8050130208333334}, {"start": 4765.82, "end": 4766.08, "word": " ال", "probability": 0.315185546875}, {"start": 4766.08, "end": 4766.32, "word": " E", "probability": 0.87548828125}, {"start": 4766.32, "end": 4766.78, "word": " و", "probability": 0.67236328125}, {"start": 4766.78, "end": 4767.6, "word": " التفاصيل", "probability": 0.969970703125}, {"start": 4767.6, "end": 4767.9, "word": " اللى", "probability": 0.9580078125}, {"start": 4767.9, "end": 4768.0, "word": " هى", "probability": 0.785888671875}, {"start": 4768.0, "end": 4768.1, "word": " ال", "probability": 0.86474609375}, {"start": 4768.1, "end": 4768.56, "word": " definition", "probability": 0.9013671875}, {"start": 4768.56, "end": 4769.5, "word": " بتظهر", "probability": 0.78094482421875}, {"start": 4769.5, "end": 4770.04, "word": " عندكم", "probability": 0.89990234375}, {"start": 4770.04, "end": 4770.58, "word": " أنا", "probability": 0.529296875}, {"start": 4770.58, "end": 4771.34, "word": " مافصلتاش", "probability": 0.629638671875}, {"start": 4771.34, "end": 4772.46, "word": " لإنه", "probability": 0.7752685546875}, {"start": 4772.46, "end": 4773.52, "word": " هو", "probability": 0.619140625}, {"start": 4773.52, "end": 4773.7, "word": " إيه", "probability": 0.5849609375}, {"start": 4773.7, "end": 4773.84, "word": " هذا", "probability": 0.41455078125}, {"start": 4773.84, "end": 4774.22, "word": " القائم", "probability": 0.7317708333333334}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 4774.5799375, "duration_after_vad": 4659.4093749999965} \ No newline at end of file