diff --git "a/PL9fwy3NUQKwavFmspRNWAhbDWNXQPDNlH/H5lXnSx9bxw_raw.json" "b/PL9fwy3NUQKwavFmspRNWAhbDWNXQPDNlH/H5lXnSx9bxw_raw.json" new file mode 100644--- /dev/null +++ "b/PL9fwy3NUQKwavFmspRNWAhbDWNXQPDNlH/H5lXnSx9bxw_raw.json" @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 2515, "start": 4.89, "end": 25.15, "text": "بسم الله الرحمن الرحيم المحاضرة رقم 12 في مساق تحليل حقيقه 2 لطلاب و طالبات الجامعة الإسلامية كلية العلوم قسم رياضيات وهي المحاضرة الثانية بعد الطوارئ لمواجهة فيروس كورونا", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 9673, 5016, 46958, 25720, 12602, 4587, 2304, 2272, 8978, 47524, 995, 4587, 6055, 5016, 20292, 1211, 11331, 38436, 4587, 3224, 568, 5296, 9566, 15040, 3555, 4032, 23032, 6027, 3555, 9307, 25724, 10943, 27884, 33688, 3794, 37440, 10632, 9122, 20292, 3660, 18863, 1211, 20498, 12174, 38251, 12602, 1829, 46958, 1829, 9307, 37037, 1829, 9673, 5016, 46958, 25720, 6024, 104, 7649, 10632, 39182, 41950, 2407, 9640, 19986, 32767, 2407, 26108, 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closed interval I هل مجموحين هيكون integrable ولا لأ؟ هل حاصل ضرب ثابت؟", "tokens": [3555, 41260, 3555, 15844, 6225, 3215, 3215, 9154, 16247, 3794, 19986, 37977, 45595, 20498, 14739, 3224, 45164, 25961, 2655, 18871, 16254, 8978, 18871, 16254, 13672, 1829, 31439, 732, 6828, 283, 4032, 290, 13672, 1829, 31439, 6225, 3555, 9640, 3660, 18871, 3572, 712, 6828, 15844, 512, 37498, 5395, 15035, 286, 8032, 1211, 3714, 7435, 2304, 2407, 5016, 9957, 39896, 30544, 3572, 712, 49429, 5296, 10721, 22807, 8032, 1211, 11331, 33546, 1211, 48812, 25513, 38637, 16758, 2655, 22807], "avg_logprob": -0.27455356833222627, "compression_ratio": 1.522167487684729, "no_speech_prob": 1.2516975402832031e-06, "words": [{"start": 40.57, "end": 41.23, "word": "بندب", "probability": 0.2720540364583333}, {"start": 41.23, "end": 41.43, "word": " على", "probability": 0.74072265625}, {"start": 41.43, "end": 41.81, "word": " عدد", "probability": 0.9611002604166666}, {"start": 41.81, "end": 41.99, "word": " من", 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{"start": 53.19, "end": 53.73, "word": " interval", "probability": 0.96240234375}, {"start": 53.73, "end": 54.19, "word": " I", "probability": 0.83056640625}, {"start": 54.19, "end": 54.93, "word": " هل", "probability": 0.745849609375}, {"start": 54.93, "end": 55.67, "word": " مجموحين", "probability": 0.8490193684895834}, {"start": 55.67, "end": 56.07, "word": " هيكون", "probability": 0.91357421875}, {"start": 56.07, "end": 56.65, "word": " integrable", "probability": 0.87109375}, {"start": 56.65, "end": 56.89, "word": " ولا", "probability": 0.92578125}, {"start": 56.89, "end": 57.77, "word": " لأ؟", "probability": 0.7102864583333334}, {"start": 57.77, "end": 58.17, "word": " هل", "probability": 0.933837890625}, {"start": 58.17, "end": 58.73, "word": " حاصل", "probability": 0.9739583333333334}, {"start": 58.73, "end": 59.03, "word": " ضرب", "probability": 0.9765625}, {"start": 59.03, "end": 59.89, "word": " ثابت؟", "probability": 0.9599609375}], "temperature": 1.0}, {"id": 4, "seek": 8534, "start": 60.26, "end": 85.34, "text": "في اللي هو الـ F اللي هي الـ integrable function هيطلع اللي هو الـ K F is integrable؟ هل حاصل ضرب دالتين F و G is integrable؟ هل لو أجينا كان في عندي two functions F و G integrable؟ وكان اللي هو معرفات على أساس ال composition بينهين يكون معرف؟ وكان التنتين integrable؟ هل اللي هو F composite G integrable ولا لأ؟", "tokens": [41185, 13672, 1829, 31439, 2423, 39184, 479, 13672, 1829, 39896, 2423, 39184, 16200, 424, 638, 2445, 39896, 9566, 1211, 3615, 13672, 1829, 31439, 2423, 39184, 591, 479, 307, 16200, 424, 638, 22807, 8032, 1211, 11331, 33546, 1211, 48812, 25513, 11778, 6027, 2655, 9957, 479, 4032, 460, 307, 16200, 424, 638, 22807, 8032, 1211, 45164, 5551, 7435, 1829, 8315, 25961, 8978, 18871, 16254, 732, 6828, 479, 4032, 460, 16200, 424, 638, 22807, 4032, 41361, 13672, 1829, 31439, 20449, 28480, 9307, 15844, 5551, 3794, 32277, 2423, 12686, 49374, 3224, 9957, 7251, 30544, 20449, 28480, 22807, 4032, 41361, 16712, 29399, 9957, 16200, 424, 638, 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84.56, "end": 84.96, "word": " ولا", "probability": 0.650390625}, {"start": 84.96, "end": 85.34, "word": " لأ؟", "probability": 0.9222005208333334}], "temperature": 1.0}, {"id": 5, "seek": 11484, "start": 85.74, "end": 114.84, "text": "أيضًا لو مش Integrable طب إيش نحط condition على واحدة منه عشان يصير Integrable؟ هتجاوب عليه نظرية اللي هو هنحكي عنها أنه لو كانت إحداهما اللي هي continuous فهيكون عندي اللي هو أو إذا كانت ال F is continuous يكون F composite G is Integrable وحنشوف هذا الكلام إن شاء الله خلال اللي هو هذا ال section وحنوظف اللي هو نظرية ال composition هذه في إثبات", "tokens": [10721, 1829, 11242, 14111, 995, 45164, 37893, 5681, 1146, 424, 638, 23032, 3555, 11933, 1829, 8592, 8717, 5016, 9566, 4188, 15844, 36764, 24401, 3660, 9154, 3224, 6225, 8592, 7649, 7251, 9381, 13546, 5681, 1146, 424, 638, 22807, 8032, 2655, 7435, 995, 37746, 47356, 8717, 19913, 2288, 10632, 13672, 1829, 31439, 8032, 1863, 5016, 4117, 1829, 18871, 11296, 14739, 3224, 45164, 25961, 2655, 11933, 24401, 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هتكون اللي هو integrable نبدأ الآن في اللي هو النظرية الأولى اللي هتجاوبلنا على اللي سألناه السؤال الأول انه لو كانت عندي الية theorem 711 لو كانت I عبارة عن closed bounded interval A وB", "tokens": [6027, 20292, 31439, 45030, 11242, 32748, 12610, 9122, 33911, 8032, 2655, 30544, 13672, 1829, 31439, 16200, 424, 638, 8717, 44510, 10721, 6024, 48506, 8978, 13672, 1829, 31439, 28239, 19913, 2288, 10632, 16247, 12610, 7578, 13672, 1829, 8032, 2655, 7435, 995, 37746, 1211, 8315, 15844, 13672, 1829, 8608, 10721, 1211, 8315, 3224, 21136, 33604, 6027, 16247, 12610, 16472, 3224, 45164, 25961, 2655, 18871, 16254, 2423, 10632, 20904, 1614, 5348, 45164, 25961, 2655, 286, 6225, 3555, 9640, 3660, 18871, 5395, 37498, 15035, 316, 4032, 33], "avg_logprob": -0.22023809807641165, "compression_ratio": 1.6567164179104477, "no_speech_prob": 1.7583370208740234e-05, "words": [{"start": 115.03, "end": 115.33, "word": "اللي", "probability": 0.409423828125}, {"start": 115.33, "end": 115.53, "word": " هو", 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حاضر", "probability": 0.7173258463541666}, {"start": 1042.93, "end": 1048.97, "word": " أيوة", "probability": 0.6490071614583334}, {"start": 1048.97, "end": 1049.13, "word": " يا", "probability": 0.73681640625}, {"start": 1049.13, "end": 1049.41, "word": " جماعة", "probability": 0.99365234375}, {"start": 1049.41, "end": 1050.05, "word": " بدنا", "probability": 0.8818359375}, {"start": 1050.05, "end": 1050.55, "word": " نثبت", "probability": 0.995849609375}, {"start": 1050.55, "end": 1051.25, "word": " انه", "probability": 0.65673828125}, {"start": 1051.25, "end": 1052.77, "word": " ال", "probability": 0.80224609375}, {"start": 1052.77, "end": 1052.93, "word": " جيت", "probability": 0.40972900390625}, {"start": 1052.93, "end": 1053.35, "word": " أثبتنا", "probability": 0.9228515625}, {"start": 1053.35, "end": 1053.49, "word": " ان", "probability": 0.76171875}, {"start": 1053.49, "end": 1053.79, "word": " KF", "probability": 0.6746826171875}, {"start": 1053.79, "end": 1053.93, "word": " is", "probability": 0.27734375}, {"start": 1053.93, "end": 1054.41, "word": " integrable", "probability": 0.8134765625}, {"start": 1054.41, "end": 1054.73, "word": " دلقا", "probability": 0.5025634765625}, {"start": 1054.73, "end": 1054.99, "word": " تبت", "probability": 0.69580078125}, {"start": 1054.99, "end": 1055.17, "word": " هذه", "probability": 0.49755859375}, {"start": 1055.17, "end": 1055.65, "word": " بتساوي", "probability": 0.9124755859375}, {"start": 1055.65, "end": 1055.91, "word": " هذه", "probability": 0.65185546875}], "temperature": 1.0}, {"id": 46, "seek": 107408, "start": 1056.42, "end": 1074.08, "text": "سهل الأمر طيب احنا الآن مادام اللي هو KF is integrable إذا ال integration من A ل B لل KF اللي هي صارت integrable بساوي اللي هو ال L of K of F و ال U of K of F بساوي U of K F مثلا", "tokens": [3794, 3224, 1211, 16247, 29973, 23032, 1829, 3555, 1975, 5016, 8315, 6024, 48506, 3714, 18513, 10943, 13672, 1829, 31439, 591, 37, 307, 16200, 424, 638, 11933, 15730, 2423, 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{"start": 1060.56, "end": 1060.7, "word": " هو", "probability": 0.927734375}, {"start": 1060.7, "end": 1061.04, "word": " KF", "probability": 0.5966796875}, {"start": 1061.04, "end": 1061.22, "word": " is", "probability": 0.8955078125}, {"start": 1061.22, "end": 1061.84, "word": " integrable", "probability": 0.7998046875}, {"start": 1061.84, "end": 1062.24, "word": " إذا", "probability": 0.566162109375}, {"start": 1062.24, "end": 1062.92, "word": " ال", "probability": 0.970703125}, {"start": 1062.92, "end": 1063.64, "word": " integration", "probability": 0.90771484375}, {"start": 1063.64, "end": 1063.98, "word": " من", "probability": 0.97607421875}, {"start": 1063.98, "end": 1064.24, "word": " A", "probability": 0.78955078125}, {"start": 1064.24, "end": 1064.3, "word": " ل", "probability": 0.83837890625}, {"start": 1064.3, "end": 1064.62, "word": " B", "probability": 0.74755859375}, {"start": 1064.62, "end": 1065.24, "word": " لل", "probability": 0.451171875}, {"start": 1065.24, "end": 1065.7, "word": " KF", "probability": 0.847900390625}, {"start": 1065.7, "end": 1065.88, "word": " اللي", "probability": 0.942626953125}, {"start": 1065.88, "end": 1066.06, "word": " هي", "probability": 0.69921875}, {"start": 1066.06, "end": 1066.4, "word": " صارت", "probability": 0.9698893229166666}, {"start": 1066.4, "end": 1067.14, "word": " integrable", "probability": 0.7450358072916666}, {"start": 1067.14, "end": 1068.52, "word": " بساوي", "probability": 0.87939453125}, {"start": 1068.52, "end": 1069.2, "word": " اللي", "probability": 0.98583984375}, {"start": 1069.2, "end": 1069.42, "word": " هو", "probability": 0.984375}, {"start": 1069.42, "end": 1069.74, "word": " ال", "probability": 0.495849609375}, {"start": 1069.74, "end": 1070.14, "word": " L", "probability": 0.94482421875}, {"start": 1070.14, "end": 1070.36, "word": " of", "probability": 0.8212890625}, {"start": 1070.36, "end": 1070.56, "word": " K", "probability": 0.978515625}, {"start": 1070.56, "end": 1070.7, "word": " 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1073.44, "end": 1073.68, "word": " F", "probability": 0.568359375}, {"start": 1073.68, "end": 1074.08, "word": " مثلا", "probability": 0.96630859375}], "temperature": 1.0}, {"id": 47, "seek": 109226, "start": 1074.56, "end": 1092.26, "text": "و يساوي ال U K of F أيش هتساوي من هنا اللي هتبتنعها ده K في ال L of F أو ال U of F مش مشكلة كتير و يساوي ما هي ال F is integrable إذا ال L of F هو عبارة عن إيش؟ ع ال integration من A ل B لل F و ال K براته", "tokens": [2407, 7251, 3794, 995, 45865, 2423, 624, 591, 295, 479, 36632, 8592, 8032, 2655, 3794, 995, 45865, 9154, 34105, 13672, 1829, 8032, 2655, 3555, 2655, 1863, 3615, 11296, 11778, 3224, 591, 8978, 2423, 441, 295, 479, 34051, 2423, 624, 295, 479, 37893, 37893, 28820, 3660, 9122, 2655, 13546, 4032, 7251, 3794, 995, 45865, 19446, 39896, 2423, 479, 307, 16200, 424, 638, 11933, 15730, 2423, 441, 295, 479, 31439, 6225, 3555, 9640, 3660, 18871, 11933, 1829, 8592, 22807, 6225, 2423, 10980, 9154, 316, 5296, 363, 24976, 479, 4032, 2423, 591, 4724, 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هنا", "probability": 0.69775390625}, {"start": 1077.14, "end": 1077.92, "word": " اللي", "probability": 0.77587890625}, {"start": 1077.92, "end": 1078.68, "word": " هتبتنعها", "probability": 0.7366768973214286}, {"start": 1078.68, "end": 1078.9, "word": " ده", "probability": 0.871337890625}, {"start": 1078.9, "end": 1079.3, "word": " K", "probability": 0.61083984375}, {"start": 1079.3, "end": 1080.04, "word": " في", "probability": 0.69970703125}, {"start": 1080.04, "end": 1080.2, "word": " ال", "probability": 0.78271484375}, {"start": 1080.2, "end": 1080.44, "word": " L", "probability": 0.91845703125}, {"start": 1080.44, "end": 1080.68, "word": " of", "probability": 0.9296875}, {"start": 1080.68, "end": 1081.1, "word": " F", "probability": 0.9921875}, {"start": 1081.1, "end": 1081.46, "word": " أو", "probability": 0.72119140625}, {"start": 1081.46, "end": 1081.6, "word": " ال", "probability": 0.87939453125}, {"start": 1081.6, "end": 1081.74, "word": " U", "probability": 0.95849609375}, 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integration", "probability": 0.97216796875}, {"start": 1089.32, "end": 1089.66, "word": " من", "probability": 0.9853515625}, {"start": 1089.66, "end": 1089.86, "word": " A", "probability": 0.9384765625}, {"start": 1089.86, "end": 1089.96, "word": " ل", "probability": 0.90576171875}, {"start": 1089.96, "end": 1090.14, "word": " B", "probability": 0.53564453125}, {"start": 1090.14, "end": 1090.36, "word": " لل", "probability": 0.763671875}, {"start": 1090.36, "end": 1090.76, "word": " F", "probability": 0.6357421875}, {"start": 1090.76, "end": 1091.22, "word": " و", "probability": 0.67578125}, {"start": 1091.22, "end": 1091.38, "word": " ال", "probability": 0.65283203125}, {"start": 1091.38, "end": 1091.56, "word": " K", "probability": 0.9873046875}, {"start": 1091.56, "end": 1092.26, "word": " براته", "probability": 0.86376953125}], "temperature": 1.0}, {"id": 48, "seek": 111051, "start": 1093.13, "end": 1110.51, "text": "لأن الـ F هو من ال integration من A ل B ل F لأن الـ F is integrable إذا صار عند الآن ال integration من A ل B ك F سواء كيف ال integration من A ل B ل F الآن ظلت الحالة الأخيرة يا شباب اللي هي حالة أن K", "tokens": [1211, 33456, 2423, 39184, 479, 31439, 9154, 2423, 10980, 9154, 316, 5296, 363, 5296, 479, 5296, 33456, 2423, 39184, 479, 307, 16200, 424, 638, 11933, 15730, 20328, 9640, 43242, 6024, 48506, 2423, 10980, 9154, 316, 5296, 363, 9122, 479, 8608, 2407, 16606, 9122, 33911, 2423, 10980, 9154, 316, 5296, 363, 5296, 479, 6024, 48506, 1357, 116, 1211, 2655, 21542, 6027, 3660, 16247, 9778, 48923, 35186, 13412, 3555, 16758, 13672, 1829, 39896, 11331, 6027, 3660, 14739, 591], "avg_logprob": -0.3427353911585622, "compression_ratio": 1.8417721518987342, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 1093.13, "end": 1093.47, "word": "لأن", "probability": 0.737548828125}, {"start": 1093.47, "end": 1093.61, "word": " الـ", "probability": 0.4385986328125}, {"start": 1093.61, "end": 1093.77, "word": " F", "probability": 0.6015625}, 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exercise K أكبر من 0 هي الحالة الأسهل وهي نشرحت اللي هو الـ hint على كيف تكون اللي هو نثبت ال integration للـ K F بساوي كيف ال integration لل F وبذلك بكون أن هنا هذا الجزء من النظرية لكل K element in R طيب نيجي الآن يا شباب", "tokens": [28814, 15730, 13672, 1829, 6055, 31747, 9957, 3224, 11933, 5016, 8315, 5380, 591, 5551, 4117, 26890, 9154, 1958, 39896, 21542, 6027, 3660, 16247, 3794, 3224, 1211, 37037, 1829, 8717, 46309, 33753, 13672, 1829, 31439, 2423, 39184, 12075, 15844, 9122, 33911, 6055, 30544, 13672, 1829, 31439, 8717, 12984, 3555, 2655, 2423, 10980, 24976, 39184, 591, 479, 4724, 3794, 995, 45865, 9122, 33911, 2423, 10980, 24976, 479, 46599, 8848, 23275, 4724, 30544, 14739, 34105, 23758, 25724, 11622, 38207, 9154, 28239, 19913, 2288, 10632, 5296, 28820, 591, 4478, 294, 497, 23032, 1829, 3555, 8717, 1829, 7435, 1829, 6024, 48506, 35186, 13412, 3555, 16758], "avg_logprob": -0.21565593410246442, "compression_ratio": 1.6355932203389831, "no_speech_prob": 2.980232238769531e-07, 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مين؟ في طول ال interval اللي هي مين طول ال interval في هذه الحالة؟ أو ال sub interval B minus A هي سماشي لكن أنا أصلا ماعنديش غير sub interval واحدة هيك مجزقة أنا الفترة إلى جزء واحد بس الآن ال infimum هذا عمالي بقول أنا ال F of X أكبر يساوي مين؟ M", "tokens": [3224, 15730, 2423, 39184, 1422, 15035, 8978, 25124, 17082, 1211, 39896, 36764, 24401, 3660, 13672, 1829, 31439, 3714, 11242, 32887, 3555, 8978, 3714, 9957, 22807, 8978, 23032, 12610, 2423, 15035, 13672, 1829, 39896, 3714, 9957, 23032, 12610, 2423, 15035, 8978, 29538, 21542, 6027, 3660, 22807, 34051, 2423, 1422, 15035, 363, 3175, 316, 39896, 8608, 2304, 33599, 1829, 44381, 41850, 5551, 9381, 15040, 19446, 3615, 1863, 16254, 8592, 32771, 13546, 1422, 15035, 36764, 24401, 3660, 39896, 4117, 3714, 7435, 11622, 28671, 41850, 27188, 2655, 25720, 30731, 10874, 11622, 38207, 36764, 24401, 4724, 3794, 6024, 48506, 2423, 1536, 332, 449, 23758, 6225, 2304, 6027, 1829, 4724, 39648, 41850, 2423, 479, 295, 1783, 5551, 4117, 26890, 7251, 3794, 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"word": " عليكم", "probability": 0.926513671875}, {"start": 3736.5, "end": 3736.74, "word": " مرة", "probability": 0.962646484375}, {"start": 3736.74, "end": 3737.1, "word": " تلاقوكم", "probability": 0.675537109375}, {"start": 3737.1, "end": 3737.56, "word": " الكلكولات", "probability": 0.699267578125}, {"start": 3737.56, "end": 3737.9, "word": " ولكن", "probability": 0.811279296875}, {"start": 3737.9, "end": 3738.36, "word": " البرمان", "probability": 0.7908935546875}, {"start": 3738.36, "end": 3738.5, "word": " اللي", "probability": 0.96142578125}, {"start": 3738.5, "end": 3738.86, "word": " بده", "probability": 0.77587890625}, {"start": 3738.86, "end": 3739.32, "word": " شغل", "probability": 0.9449869791666666}], "temperature": 1.0}, {"id": 159, "seek": 376935, "start": 3740.43, "end": 3769.35, "text": "let I بيساوي من A لعند B and let C be an element in A و B and let F من كل I لعند R be a bounded function يعني ال function اللي بنشتغل عليها bounded جاهزة يعني and then النتيجة بقولي F is integrable on I هتكون ال F integrable على كل الفترة اللي هي I من A و B إذا و فقط إذا F is integrable على مين على on both I واحد من A لC", "tokens": [2631, 286, 4724, 1829, 3794, 995, 45865, 9154, 316, 5296, 3615, 41260, 363, 293, 718, 383, 312, 364, 4478, 294, 316, 4032, 363, 293, 718, 479, 9154, 28242, 286, 5296, 3615, 41260, 497, 312, 257, 37498, 2445, 37495, 22653, 2423, 2445, 13672, 1829, 44945, 8592, 2655, 17082, 1211, 25894, 11296, 37498, 10874, 40294, 11622, 3660, 37495, 22653, 293, 550, 28239, 31371, 7435, 3660, 4724, 39648, 1829, 479, 307, 16200, 424, 638, 322, 286, 8032, 2655, 30544, 2423, 479, 16200, 424, 638, 15844, 28242, 27188, 2655, 25720, 13672, 1829, 39896, 286, 9154, 316, 4032, 363, 11933, 15730, 4032, 6156, 47432, 11933, 15730, 479, 307, 16200, 424, 638, 15844, 3714, 9957, 15844, 322, 1293, 286, 36764, 24401, 9154, 316, 5296, 34], "avg_logprob": -0.23385416381061078, "compression_ratio": 1.7244094488188977, "no_speech_prob": 1.430511474609375e-06, "words": 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"probability": 0.66351318359375}, {"start": 3750.53, "end": 3751.15, "word": " يعني", "probability": 0.885986328125}, {"start": 3751.15, "end": 3751.55, "word": " and", "probability": 0.1910400390625}, {"start": 3751.55, "end": 3751.97, "word": " then", "probability": 0.9052734375}, {"start": 3751.97, "end": 3752.83, "word": " النتيجة", "probability": 0.9566650390625}, {"start": 3752.83, "end": 3753.29, "word": " بقولي", "probability": 0.6324869791666666}, {"start": 3753.29, "end": 3753.65, "word": " F", "probability": 0.81787109375}, {"start": 3753.65, "end": 3753.89, "word": " is", "probability": 0.96142578125}, {"start": 3753.89, "end": 3754.51, "word": " integrable", "probability": 0.8844401041666666}, {"start": 3754.51, "end": 3754.75, "word": " on", "probability": 0.91650390625}, {"start": 3754.75, "end": 3755.17, "word": " I", "probability": 0.9912109375}, {"start": 3755.17, "end": 3756.13, "word": " هتكون", "probability": 0.7819010416666666}, {"start": 3756.13, "end": 3756.25, "word": " ال", "probability": 0.7822265625}, {"start": 3756.25, "end": 3756.41, "word": " F", "probability": 0.9228515625}, {"start": 3756.41, "end": 3756.97, "word": " integrable", "probability": 0.7115885416666666}, {"start": 3756.97, "end": 3757.11, "word": " على", "probability": 0.6123046875}, {"start": 3757.11, "end": 3757.49, "word": " كل", "probability": 0.99169921875}, {"start": 3757.49, "end": 3758.17, "word": " الفترة", "probability": 0.98046875}, {"start": 3758.17, "end": 3758.55, "word": " اللي", "probability": 0.948486328125}, {"start": 3758.55, "end": 3758.75, "word": " هي", "probability": 0.8701171875}, {"start": 3758.75, "end": 3758.97, "word": " I", "probability": 0.99169921875}, {"start": 3758.97, "end": 3759.15, "word": " من", "probability": 0.99267578125}, {"start": 3759.15, "end": 3759.31, "word": " A", "probability": 0.9921875}, {"start": 3759.31, "end": 3759.41, "word": " و", "probability": 0.98974609375}, {"start": 3759.41, "end": 3759.67, "word": " B", "probability": 0.77294921875}, {"start": 3759.67, "end": 3760.81, "word": " إذا", "probability": 0.95703125}, {"start": 3760.81, "end": 3761.05, "word": " و", "probability": 0.99267578125}, {"start": 3761.05, "end": 3761.49, "word": " فقط", "probability": 0.8818359375}, {"start": 3761.49, "end": 3761.97, "word": " إذا", "probability": 0.98046875}, {"start": 3761.97, "end": 3762.99, "word": " F", "probability": 0.94775390625}, {"start": 3762.99, "end": 3763.35, "word": " is", "probability": 0.96630859375}, {"start": 3763.35, "end": 3764.01, "word": " integrable", "probability": 0.92578125}, {"start": 3764.01, "end": 3764.27, "word": " على", "probability": 0.873046875}, {"start": 3764.27, "end": 3764.77, "word": " مين", "probability": 0.7265625}, {"start": 3764.77, "end": 3765.65, "word": " على", "probability": 0.61181640625}, {"start": 3765.65, "end": 3766.13, "word": " on", "probability": 0.87744140625}, {"start": 3766.13, "end": 3766.69, "word": " both", "probability": 0.90771484375}, {"start": 3766.69, "end": 3767.81, "word": " I", "probability": 0.96533203125}, {"start": 3767.81, "end": 3768.37, "word": " واحد", "probability": 0.86279296875}, {"start": 3768.37, "end": 3768.63, "word": " من", "probability": 0.99169921875}, {"start": 3768.63, "end": 3768.85, "word": " A", "probability": 0.9912109375}, {"start": 3768.85, "end": 3769.35, "word": " لC", "probability": 0.746337890625}], "temperature": 1.0}, {"id": 160, "seek": 379626, "start": 3771.0, "end": 3796.26, "text": "و I2 من C لعند B ومش هيك بقولك وكمان هيكون عند ال integration من A ل B ل F سوى ال integration من A ل C ل F زاد ال integration من C ل عند B ل F اللي هي الاشي المعود عندنا إذا الأن بقولي الإعلان اللي بقوله مالي إذا كانت F is a bounded function on the interval كلها I اللي سمينها من A ل عند B I", "tokens": [2407, 286, 17, 9154, 383, 5296, 3615, 41260, 363, 4032, 2304, 8592, 39896, 4117, 4724, 39648, 4117, 4032, 24793, 7649, 39896, 30544, 43242, 2423, 10980, 9154, 316, 5296, 363, 5296, 479, 8608, 2407, 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"probability": 0.8260091145833334}, {"start": 3786.08, "end": 3786.44, "word": " المعود", "probability": 0.8401692708333334}, {"start": 3786.44, "end": 3786.92, "word": " عندنا", "probability": 0.869140625}, {"start": 3786.92, "end": 3787.92, "word": " إذا", "probability": 0.644287109375}, {"start": 3787.92, "end": 3788.3, "word": " الأن", "probability": 0.674072265625}, {"start": 3788.3, "end": 3788.76, "word": " بقولي", "probability": 0.7687174479166666}, {"start": 3788.76, "end": 3789.32, "word": " الإعلان", "probability": 0.94873046875}, {"start": 3789.32, "end": 3789.46, "word": " اللي", "probability": 0.976318359375}, {"start": 3789.46, "end": 3789.86, "word": " بقوله", "probability": 0.9275716145833334}, {"start": 3789.86, "end": 3790.26, "word": " مالي", "probability": 0.9269205729166666}, {"start": 3790.26, "end": 3790.48, "word": " إذا", "probability": 0.96923828125}, {"start": 3790.48, "end": 3790.86, "word": " كانت", "probability": 0.948486328125}, {"start": 3790.86, "end": 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"word": " من", "probability": 0.9912109375}, {"start": 3795.26, "end": 3795.44, "word": " A", "probability": 0.98876953125}, {"start": 3795.44, "end": 3795.5, "word": " ل", "probability": 0.98291015625}, {"start": 3795.5, "end": 3795.68, "word": " عند", "probability": 0.8427734375}, {"start": 3795.68, "end": 3795.9, "word": " B", "probability": 0.9931640625}, {"start": 3795.9, "end": 3796.26, "word": " I", "probability": 0.85302734375}], "temperature": 1.0}, {"id": 161, "seek": 381114, "start": 3797.4, "end": 3811.14, "text": "أه إذا كانت F is bounded function عليها إذا F is integrable on I if and only if F is integrable", "tokens": [10721, 3224, 11933, 15730, 25961, 2655, 479, 307, 37498, 2445, 25894, 11296, 11933, 15730, 479, 307, 16200, 424, 638, 322, 286, 498, 293, 787, 498, 479, 307, 16200, 424, 638], "avg_logprob": -0.2683971774193548, "compression_ratio": 1.1666666666666667, "no_speech_prob": 4.112720489501953e-06, "words": [{"start": 3797.4, "end": 3797.82, "word": "أه", 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"probability": 0.822265625}], "temperature": 1.0}, {"id": 166, "seek": 393913, "start": 3911.73, "end": 3939.13, "text": "B1 و Epsilon و الـ function F ناقص الـ B1 و Epsilon و الـ function F أصغر من مين من Epsilon على 2 للحسابات ماشي الحال هذا استخداما للـ integrability للـ function F عالمين على الـ I1 Similarly", "tokens": [33, 16, 4032, 462, 16592, 4032, 2423, 39184, 2445, 479, 8717, 995, 4587, 9381, 2423, 39184, 363, 16, 4032, 462, 16592, 4032, 2423, 39184, 2445, 479, 5551, 9381, 17082, 2288, 9154, 3714, 9957, 9154, 462, 16592, 15844, 568, 24976, 5016, 3794, 16758, 9307, 3714, 33599, 1829, 21542, 6027, 23758, 44713, 9778, 3215, 10943, 995, 24976, 39184, 3572, 2310, 24976, 39184, 2445, 479, 6225, 45340, 9957, 15844, 2423, 39184, 286, 16, 13157], "avg_logprob": -0.2497829840415054, "compression_ratio": 1.576470588235294, "no_speech_prob": 5.900859832763672e-06, "words": [{"start": 3911.73, "end": 3912.69, "word": "B1", "probability": 0.3460693359375}, {"start": 3912.69, "end": 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الحال", "probability": 0.962158203125}, {"start": 3926.73, "end": 3930.77, "word": " هذا", "probability": 0.74853515625}, {"start": 3930.77, "end": 3933.31, "word": " استخداما", "probability": 0.9501953125}, {"start": 3933.31, "end": 3934.25, "word": " للـ", "probability": 0.607177734375}, {"start": 3934.25, "end": 3935.07, "word": " integrability", "probability": 0.598388671875}, {"start": 3935.07, "end": 3935.41, "word": " للـ", "probability": 0.828125}, {"start": 3935.41, "end": 3935.67, "word": " function", "probability": 0.9052734375}, {"start": 3935.67, "end": 3935.95, "word": " F", "probability": 0.97607421875}, {"start": 3935.95, "end": 3936.59, "word": " عالمين", "probability": 0.802734375}, {"start": 3936.59, "end": 3937.01, "word": " على", "probability": 0.7626953125}, {"start": 3937.01, "end": 3937.17, "word": " الـ", "probability": 0.6009521484375}, {"start": 3937.17, "end": 3937.85, "word": " I1", "probability": 0.82373046875}, {"start": 3937.85, "end": 3939.13, "word": " Similarly", "probability": 0.290771484375}], "temperature": 1.0}, {"id": 167, "seek": 396314, "start": 3940.28, "end": 3963.14, "text": "There exist B2 و Epsilon بما أن F Integra بالعالم I2 إذاً there exist B2 و Epsilon Such that U B2 و Epsilon هذا partition لمين؟ للفترة التانية I2 اللي هي من C لعند B", "tokens": [51, 511, 68, 2514, 363, 17, 4032, 462, 16592, 4724, 15042, 14739, 479, 5681, 1146, 424, 20666, 3615, 45340, 286, 17, 11933, 15730, 14111, 456, 2514, 363, 17, 4032, 462, 16592, 9653, 300, 624, 363, 17, 4032, 462, 16592, 23758, 24808, 32767, 9957, 22807, 24976, 5172, 2655, 25720, 16712, 7649, 10632, 286, 17, 13672, 1829, 39896, 9154, 383, 5296, 3615, 41260, 363], "avg_logprob": -0.30654761999372454, "compression_ratio": 1.3734177215189873, "no_speech_prob": 1.0132789611816406e-06, "words": [{"start": 3940.28, "end": 3940.72, "word": "There", "probability": 0.5359293619791666}, {"start": 3940.72, "end": 3941.56, "word": " exist", "probability": 0.63623046875}, {"start": 3941.56, 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415677, "start": 4135.57, "end": 4156.77, "text": "أكيد C هتكون نقطة من النقاط، ليش هتكون نقطة من النقاط؟ لأنه أنا أخدت بي إبسلون هي اتحاد هذه مع هذه و آخر نقطة في هذه هي الـ C و أول نقطة في هذه هي الـ C كيف هذه partition لهذه و هذه partition لهذه؟ مش لما نعمل partition لكل الفترة بيكون أول نقطة و أخر نقطة من ضمن ال partition؟ أكيد", "tokens": [10721, 4117, 25708, 383, 8032, 2655, 30544, 8717, 47432, 3660, 9154, 28239, 4587, 41193, 12399, 32239, 8592, 8032, 2655, 30544, 8717, 47432, 3660, 9154, 28239, 4587, 41193, 22807, 5296, 33456, 3224, 41850, 5551, 9778, 3215, 2655, 4724, 1829, 11933, 3555, 3794, 1211, 11536, 39896, 1975, 2655, 5016, 18513, 29538, 20449, 29538, 4032, 19753, 34740, 8717, 47432, 3660, 8978, 29538, 39896, 2423, 39184, 383, 4032, 5551, 12610, 8717, 47432, 3660, 8978, 29538, 39896, 2423, 39184, 383, 9122, 33911, 29538, 24808, 46740, 24192, 4032, 29538, 24808, 46740, 24192, 22807, 37893, 5296, 15042, 8717, 25957, 1211, 24808, 5296, 28820, 27188, 2655, 25720, 4724, 1829, 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ناقص", "probability": 0.955078125}, {"start": 4337.79, "end": 4338.21, "word": " هذا", "probability": 0.98388671875}, {"start": 4338.21, "end": 4339.35, "word": " U", "probability": 0.82177734375}, {"start": 4339.35, "end": 4340.97, "word": " B1", "probability": 0.684326171875}, {"start": 4340.97, "end": 4341.53, "word": " Epsilon", "probability": 0.8828125}, {"start": 4341.53, "end": 4341.75, "word": " و", "probability": 0.9140625}, {"start": 4341.75, "end": 4342.19, "word": " F", "probability": 0.95947265625}, {"start": 4342.19, "end": 4343.87, "word": " ناقص", "probability": 0.96826171875}, {"start": 4343.87, "end": 4344.47, "word": " ال", "probability": 0.86962890625}, {"start": 4344.47, "end": 4345.53, "word": " B1", "probability": 0.737548828125}, {"start": 4345.53, "end": 4346.07, "word": " Epsilon", "probability": 0.976318359375}, {"start": 4346.07, "end": 4346.53, "word": " و", "probability": 0.96923828125}, {"start": 4346.53, "end": 4346.93, "word": " F", "probability": 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{"start": 4370.82, "end": 4371.52, "word": " الآن", "probability": 0.75927734375}, {"start": 4371.52, "end": 4372.66, "word": " هيه", "probability": 0.5614013671875}, {"start": 4372.66, "end": 4373.76, "word": " من", "probability": 0.95166015625}, {"start": 4373.76, "end": 4374.18, "word": " فوق", "probability": 0.98974609375}, {"start": 4374.18, "end": 4374.4, "word": " اللي", "probability": 0.980224609375}, {"start": 4374.4, "end": 4375.42, "word": " حضرناله", "probability": 0.824853515625}, {"start": 4375.42, "end": 4376.64, "word": " أصغر", "probability": 0.9906005859375}, {"start": 4376.64, "end": 4376.9, "word": " من", "probability": 0.99462890625}, {"start": 4376.9, "end": 4377.34, "word": " إبسلون", "probability": 0.9033203125}, {"start": 4377.34, "end": 4377.52, "word": " على", "probability": 0.81103515625}, {"start": 4377.52, "end": 4378.04, "word": " اتنين", "probability": 0.826171875}, {"start": 4378.04, "end": 4379.88, "word": " و", "probability": 0.446533203125}, {"start": 4379.88, "end": 4380.26, "word": " هذا", "probability": 0.90380859375}, {"start": 4380.26, "end": 4381.2, "word": " حضرناله", "probability": 0.9873046875}, {"start": 4381.2, "end": 4381.52, "word": " برضه", "probability": 0.88037109375}, {"start": 4381.52, "end": 4381.86, "word": " أصغر", "probability": 0.9647216796875}, {"start": 4381.86, "end": 4381.96, "word": " من", "probability": 0.994140625}, {"start": 4381.96, "end": 4382.3, "word": " إبسلون", "probability": 0.99111328125}, {"start": 4382.3, "end": 4382.36, "word": " على", "probability": 0.87939453125}, {"start": 4382.36, "end": 4382.84, "word": " اتنين", "probability": 0.9505615234375}], "temperature": 1.0}, {"id": 184, "seek": 440924, "start": 4383.74, "end": 4409.24, "text": "إذا صار هذا الطرح بينهم أصغر من مين من إبسلون صرنا مثل تين لكل إبسلون أكبر من سفر there exist B2 there exist بإبسلون such that U بإبسلون و F ناقصها بيبسلون و F ��صغر من مين من إبسلون إذا صارت عندي F is integrable on I اللي لجينا ال partition لها", "tokens": [28814, 15730, 20328, 9640, 23758, 41950, 2288, 5016, 49374, 16095, 5551, 9381, 17082, 2288, 9154, 3714, 9957, 9154, 11933, 3555, 3794, 1211, 11536, 20328, 2288, 8315, 50113, 1211, 6055, 9957, 5296, 28820, 11933, 3555, 3794, 1211, 11536, 5551, 4117, 26890, 9154, 8608, 5172, 2288, 456, 2514, 363, 17, 456, 2514, 4724, 28814, 3555, 3794, 1211, 11536, 1270, 300, 624, 4724, 28814, 3555, 3794, 1211, 11536, 4032, 479, 8717, 995, 4587, 9381, 11296, 4724, 1829, 3555, 3794, 1211, 11536, 4032, 479, 5551, 9381, 17082, 2288, 9154, 3714, 9957, 9154, 11933, 3555, 3794, 1211, 11536, 11933, 15730, 20328, 9640, 2655, 18871, 16254, 479, 307, 16200, 424, 638, 322, 286, 13672, 1829, 5296, 7435, 1829, 8315, 2423, 24808, 5296, 11296], "avg_logprob": -0.2305349521970345, "compression_ratio": 1.7962085308056872, "no_speech_prob": 0.0, "words": [{"start": 4383.74, "end": 4384.04, "word": "إذا", "probability": 0.822265625}, {"start": 4384.04, "end": 4384.32, "word": " صار", "probability": 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0.84814453125}, {"start": 4408.0, "end": 4408.54, "word": " partition", "probability": 0.66796875}, {"start": 4408.54, "end": 4409.24, "word": " لها", "probability": 0.6925048828125}], "temperature": 1.0}, {"id": 185, "seek": 443755, "start": 4410.55, "end": 4437.55, "text": "هذا الجزء الأول من النظرية الآن بدنا نثبت اللي هو conversely بدنا نفترض أنه F is integrable على كل الفترة ومن ثم نثبت أنه integrable على كل subinterval من التنتين اللي موجودة إذا الآن الجزء الثاني بنقول suppose", "tokens": [3224, 15730, 25724, 11622, 38207, 16247, 12610, 9154, 28239, 19913, 2288, 10632, 6024, 48506, 47525, 8315, 8717, 12984, 3555, 2655, 13672, 1829, 31439, 2615, 736, 47525, 8315, 8717, 5172, 2655, 43042, 14739, 3224, 479, 307, 16200, 424, 638, 15844, 28242, 27188, 2655, 25720, 4032, 27842, 38637, 2304, 8717, 12984, 3555, 2655, 14739, 3224, 3572, 712, 15844, 28242, 1422, 5106, 3337, 9154, 16712, 29399, 9957, 13672, 1829, 3714, 29245, 23328, 3660, 11933, 15730, 6024, 48506, 25724, 11622, 38207, 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" و", "probability": 0.78515625}, {"start": 4454.45, "end": 4454.71, "word": " بدنا", "probability": 0.762939453125}, {"start": 4454.71, "end": 4455.07, "word": " نثبت", "probability": 0.99365234375}, {"start": 4455.07, "end": 4455.25, "word": " أنها", "probability": 0.69677734375}, {"start": 4455.25, "end": 4456.01, "word": " integrable", "probability": 0.7115071614583334}, {"start": 4456.01, "end": 4456.71, "word": " عالميا", "probability": 0.84228515625}, {"start": 4456.71, "end": 4458.59, "word": " على", "probability": 0.77685546875}, {"start": 4458.59, "end": 4459.19, "word": " الفترة", "probability": 0.9890950520833334}, {"start": 4459.19, "end": 4460.17, "word": " الأولى", "probability": 0.9462890625}, {"start": 4460.17, "end": 4460.31, "word": " A", "probability": 0.93359375}, {"start": 4460.31, "end": 4460.47, "word": " و", "probability": 0.966796875}, {"start": 4460.47, "end": 4460.73, "word": " C", "probability": 0.708984375}, {"start": 4460.73, "end": 4461.31, "word": " و", 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{"start": 4661.43, "end": 4662.07, "word": " حلاجة", "probability": 0.6690673828125}, {"start": 4662.07, "end": 4662.15, "word": " على", "probability": 0.90185546875}, {"start": 4662.15, "end": 4662.45, "word": " الفترة", "probability": 0.98779296875}, {"start": 4662.45, "end": 4662.91, "word": " التانية", "probability": 0.9684244791666666}, {"start": 4662.91, "end": 4663.45, "word": " وبكون", "probability": 0.6510009765625}, {"start": 4663.45, "end": 4663.87, "word": " خلصت", "probability": 0.8909912109375}, {"start": 4663.87, "end": 4664.25, "word": " النظرية", "probability": 0.938720703125}, {"start": 4664.25, "end": 4664.61, "word": " هيك", "probability": 0.794189453125}, {"start": 4664.61, "end": 4665.13, "word": " نشوف", "probability": 0.804931640625}, {"start": 4665.13, "end": 4665.39, "word": " كيف", "probability": 0.98388671875}], "temperature": 1.0}, {"id": 196, "seek": 469020, "start": 4666.76, "end": 4690.2, "text": "الآن وجدنا الـ B' أو اللي هو B اتحاد الـ C يحقق هذه اللي هي المعادلة أو هذه المتباينة أصغر من مين من Epsilon شوف الآن كيف دي بارتشني للجزء الأول من A لعين C بكل بساطة قطع للـ B' هذا مع مين؟ مع A و C أكيد هذا في C أكيد", "tokens": [6027, 148, 48506, 49610, 3215, 8315, 2423, 39184, 363, 6, 34051, 13672, 1829, 31439, 363, 1975, 2655, 5016, 18513, 2423, 39184, 383, 7251, 5016, 4587, 4587, 29538, 13672, 1829, 39896, 9673, 3615, 18513, 37977, 34051, 29538, 9673, 2655, 3555, 995, 9957, 3660, 5551, 9381, 17082, 2288, 9154, 3714, 9957, 9154, 462, 16592, 13412, 38688, 6024, 48506, 9122, 33911, 11778, 1829, 4724, 9640, 2655, 8592, 22653, 24976, 7435, 11622, 38207, 16247, 12610, 9154, 316, 5296, 3615, 9957, 383, 4724, 28820, 4724, 3794, 41193, 3660, 12174, 9566, 3615, 24976, 39184, 363, 6, 23758, 20449, 3714, 9957, 22807, 20449, 316, 4032, 383, 5551, 4117, 25708, 23758, 8978, 383, 5551, 4117, 25708], "avg_logprob": -0.18563646843673987, "compression_ratio": 1.7464114832535884, "no_speech_prob": 6.556510925292969e-07, "words": [{"start": 4666.76, "end": 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شوف", "probability": 0.868408203125}, {"start": 4679.02, "end": 4679.3, "word": " الآن", "probability": 0.648193359375}, {"start": 4679.3, "end": 4679.44, "word": " كيف", "probability": 0.76123046875}, {"start": 4679.44, "end": 4679.96, "word": " دي", "probability": 0.623779296875}, {"start": 4679.96, "end": 4680.64, "word": " بارتشني", "probability": 0.7185791015625}, {"start": 4680.64, "end": 4681.46, "word": " للجزء", "probability": 0.9564208984375}, {"start": 4681.46, "end": 4681.82, "word": " الأول", "probability": 0.973388671875}, {"start": 4681.82, "end": 4682.02, "word": " من", "probability": 0.98486328125}, {"start": 4682.02, "end": 4682.16, "word": " A", "probability": 0.95849609375}, {"start": 4682.16, "end": 4682.46, "word": " لعين", "probability": 0.7490234375}, {"start": 4682.46, "end": 4682.68, "word": " C", "probability": 0.9765625}, {"start": 4682.68, "end": 4683.56, "word": " بكل", "probability": 0.95263671875}, {"start": 4683.56, "end": 4684.46, "word": " بساطة", "probability": 0.9945068359375}, {"start": 4684.46, "end": 4684.86, "word": " قطع", "probability": 0.94677734375}, {"start": 4684.86, "end": 4685.1, "word": " للـ", "probability": 0.74560546875}, {"start": 4685.1, "end": 4685.24, "word": " B'", "probability": 0.84765625}, {"start": 4685.52, "end": 4685.94, "word": " هذا", "probability": 0.9541015625}, {"start": 4685.94, "end": 4686.76, "word": " مع", "probability": 0.98486328125}, {"start": 4686.76, "end": 4687.18, "word": " مين؟", "probability": 0.6979166666666666}, {"start": 4687.18, "end": 4687.32, "word": " مع", "probability": 0.97900390625}, {"start": 4687.32, "end": 4687.48, "word": " A", "probability": 0.94677734375}, {"start": 4687.48, "end": 4687.62, "word": " و", "probability": 0.9619140625}, {"start": 4687.62, "end": 4687.76, "word": " C", "probability": 0.75634765625}, {"start": 4687.76, "end": 4688.24, "word": " أكيد", "probability": 0.9005533854166666}, {"start": 4688.24, "end": 4688.56, "word": " هذا", "probability": 0.865234375}, {"start": 4688.56, "end": 4688.74, "word": " في", "probability": 0.98583984375}, {"start": 4688.74, "end": 4689.14, "word": " C", "probability": 0.76416015625}, {"start": 4689.14, "end": 4690.2, "word": " أكيد", "probability": 0.9239908854166666}], "temperature": 1.0}, {"id": 197, "seek": 470328, "start": 4690.84, "end": 4703.28, "text": "وفي A إذا النقطة الأولى موجودة والنقطة C موجودة إذا هو فعلا partition لمين؟ هيكون B' partition للـ A والـ C وبنفس الطريقة and let B T2' بيساوي B'", "tokens": [2407, 41185, 316, 11933, 15730, 28239, 47432, 3660, 16247, 12610, 7578, 3714, 29245, 23328, 3660, 16070, 1863, 47432, 3660, 383, 3714, 29245, 23328, 3660, 11933, 15730, 31439, 6156, 3615, 15040, 24808, 32767, 9957, 22807, 39896, 30544, 363, 6, 24808, 24976, 39184, 316, 16070, 39184, 383, 46599, 1863, 36178, 41950, 16572, 28671, 293, 718, 363, 314, 17, 6, 4724, 1829, 3794, 995, 45865, 363, 6], "avg_logprob": -0.33966346153846155, "compression_ratio": 1.3950617283950617, "no_speech_prob": 9.5367431640625e-07, "words": [{"start": 4690.84, "end": 4691.1, "word": "وفي", "probability": 0.46923828125}, {"start": 4691.1, "end": 4691.38, "word": " A", "probability": 0.40576171875}, {"start": 4691.38, "end": 4691.54, "word": " إذا", "probability": 0.5216064453125}, {"start": 4691.54, "end": 4691.96, "word": " النقطة", "probability": 0.7948404947916666}, {"start": 4691.96, "end": 4692.14, "word": " الأولى", "probability": 0.9830729166666666}, {"start": 4692.14, "end": 4692.58, "word": " موجودة", "probability": 0.9716796875}, {"start": 4692.58, "end": 4693.18, "word": " والنقطة", "probability": 0.8349609375}, {"start": 4693.18, "end": 4693.3, "word": " C", "probability": 0.9091796875}, {"start": 4693.3, "end": 4693.92, "word": " موجودة", "probability": 0.989013671875}, {"start": 4693.92, "end": 4694.44, "word": " إذا", "probability": 0.84814453125}, {"start": 4694.44, "end": 4694.64, "word": " هو", "probability": 0.9189453125}, {"start": 4694.64, "end": 4694.92, "word": " فعلا", "probability": 0.81982421875}, {"start": 4694.92, "end": 4695.34, "word": " partition", "probability": 0.56982421875}, {"start": 4695.34, "end": 4696.18, "word": " لمين؟", "probability": 0.5463053385416666}, {"start": 4696.18, "end": 4696.68, "word": " هيكون", "probability": 0.641845703125}, {"start": 4696.68, "end": 4696.92, "word": " B'", "probability": 0.58203125}, {"start": 4697.18, "end": 4697.58, "word": " partition", "probability": 0.67041015625}, {"start": 4697.58, "end": 4697.96, "word": " للـ", "probability": 0.645263671875}, {"start": 4697.96, "end": 4698.08, "word": " A", "probability": 0.50537109375}, {"start": 4698.08, "end": 4698.3, "word": " والـ", "probability": 0.768798828125}, {"start": 4698.3, "end": 4698.52, "word": " C", "probability": 0.7265625}, {"start": 4698.52, "end": 4699.9, "word": " وبنفس", "probability": 0.8317057291666666}, {"start": 4699.9, "end": 4700.4, "word": " الطريقة", "probability": 0.99072265625}, {"start": 4700.4, "end": 4700.64, "word": " and", "probability": 0.2408447265625}, {"start": 4700.64, "end": 4700.88, "word": " let", "probability": 0.87353515625}, {"start": 4700.88, "end": 4701.2, "word": " B", "probability": 0.82470703125}, {"start": 4701.2, "end": 4701.72, "word": " T2'", "probability": 0.2757568359375}, {"start": 4702.16, "end": 4703.08, "word": " بيساوي", "probability": 0.68564453125}, {"start": 4703.08, "end": 4703.28, "word": " B'", "probability": 0.8662109375}], "temperature": 1.0}, {"id": 198, "seek": 472508, "start": 4705.14, "end": 4725.08, "text": "تقاطع الـC والـB إذا الـC موجودة هنا والـB موجودة هنا إذا صار هذا بحتوى ال partition على الـC وعلى الـB إذا فعلا هو partition المين للفترة الثانية is a partition of C وB so that إذا الآن بحضر إن لجيت", "tokens": [2655, 4587, 41193, 3615, 2423, 39184, 34, 16070, 39184, 33, 11933, 15730, 2423, 39184, 34, 3714, 29245, 23328, 3660, 34105, 16070, 39184, 33, 3714, 29245, 23328, 3660, 34105, 11933, 15730, 20328, 9640, 23758, 4724, 33753, 2407, 7578, 2423, 24808, 15844, 2423, 39184, 34, 4032, 3615, 23942, 2423, 39184, 33, 11933, 15730, 6156, 3615, 15040, 31439, 24808, 9673, 9957, 24976, 5172, 2655, 25720, 6024, 104, 7649, 10632, 307, 257, 24808, 295, 383, 4032, 33, 370, 300, 11933, 15730, 6024, 48506, 4724, 5016, 11242, 2288, 36145, 5296, 7435, 36081], "avg_logprob": -0.22709516368129037, "compression_ratio": 1.8092485549132948, "no_speech_prob": 9.965896606445312e-05, "words": [{"start": 4705.14, "end": 4705.76, "word": "تقاطع", "probability": 0.89794921875}, {"start": 4705.76, "end": 4706.02, "word": " الـC", "probability": 0.6659342447916666}, {"start": 4706.02, "end": 4706.4, "word": " والـB", "probability": 0.7417805989583334}, {"start": 4706.4, "end": 4706.84, "word": " إذا", "probability": 0.575927734375}, {"start": 4706.84, "end": 4707.18, "word": " الـC", "probability": 0.71240234375}, {"start": 4707.18, "end": 4707.7, "word": " موجودة", "probability": 0.82476806640625}, {"start": 4707.7, "end": 4707.88, "word": " هنا", "probability": 0.697265625}, {"start": 4707.88, "end": 4708.56, "word": " والـB", "probability": 0.7965494791666666}, {"start": 4708.56, "end": 4709.04, "word": " موجودة", "probability": 0.986328125}, {"start": 4709.04, "end": 4709.28, "word": " هنا", "probability": 0.96044921875}, {"start": 4709.28, "end": 4709.82, "word": " إذا", "probability": 0.933349609375}, {"start": 4709.82, "end": 4710.2, "word": " صار", "probability": 0.93359375}, {"start": 4710.2, "end": 4710.7, "word": " هذا", "probability": 0.880859375}, {"start": 4710.7, "end": 4711.84, "word": " بحتوى", "probability": 0.8079833984375}, {"start": 4711.84, "end": 4711.92, "word": " ال", "probability": 0.8291015625}, {"start": 4711.92, "end": 4712.28, "word": " partition", "probability": 0.59326171875}, {"start": 4712.28, "end": 4712.6, "word": " على", "probability": 0.8310546875}, {"start": 4712.6, "end": 4713.14, "word": " الـC", "probability": 0.93701171875}, {"start": 4713.14, "end": 4714.02, "word": " وعلى", "probability": 0.9591471354166666}, {"start": 4714.02, "end": 4714.34, "word": " الـB", "probability": 0.9807942708333334}, {"start": 4714.34, "end": 4714.62, "word": " إذا", "probability": 0.871826171875}, {"start": 4714.62, "end": 4714.98, "word": " فعلا", "probability": 0.9208984375}, {"start": 4714.98, "end": 4715.16, "word": " هو", "probability": 0.82958984375}, {"start": 4715.16, "end": 4715.52, "word": " partition", "probability": 0.91845703125}, {"start": 4715.52, "end": 4716.08, "word": " المين", "probability": 0.460601806640625}, {"start": 4716.08, "end": 4716.7, "word": " للفترة", "probability": 0.929443359375}, {"start": 4716.7, "end": 4717.24, "word": " الثانية", "probability": 0.9005126953125}, {"start": 4717.24, "end": 4717.76, "word": " is", "probability": 0.70849609375}, {"start": 4717.76, "end": 4717.9, "word": " a", "probability": 0.74462890625}, {"start": 4717.9, "end": 4718.28, "word": " partition", "probability": 0.95947265625}, {"start": 4718.28, "end": 4719.06, "word": " of", "probability": 0.97705078125}, {"start": 4719.06, "end": 4719.6, "word": " C", "probability": 0.90673828125}, {"start": 4719.6, "end": 4719.98, "word": " وB", "probability": 0.8876953125}, {"start": 4719.98, "end": 4720.92, "word": " so", "probability": 0.5830078125}, {"start": 4720.92, "end": 4721.48, "word": " that", "probability": 0.93310546875}, {"start": 4721.48, "end": 4722.64, "word": " إذا", "probability": 0.65576171875}, {"start": 4722.64, "end": 4723.12, "word": " الآن", "probability": 0.6783447265625}, {"start": 4723.12, "end": 4724.28, "word": " بحضر", "probability": 0.9609375}, {"start": 4724.28, "end": 4724.5, "word": " إن", "probability": 0.3125}, {"start": 4724.5, "end": 4725.08, "word": " لجيت", "probability": 0.8474934895833334}], "temperature": 1.0}, {"id": 199, "seek": 475472, "start": 4725.44, "end": 4754.72, "text": "اللي هو B1' وB2' واحد partition للـA والـC والتاني للـC والـB وبدّعي إن هما ال partitions اللي هوصلني على هذه وsimilarly زيها للتانية اللي بتعطيني الintegrability للـF على الأولى وintegrability للـF على الثانية نشوف إيش اللي بقوله يلا صلوا عنا يا شباب صلاة والسلام عندي", "tokens": [6027, 20292, 31439, 363, 16, 6, 4032, 33, 17, 6, 36764, 24401, 24808, 24976, 39184, 32, 16070, 39184, 34, 16070, 2655, 7649, 1829, 24976, 39184, 34, 16070, 39184, 33, 46599, 3215, 11703, 3615, 1829, 36145, 8032, 15042, 2423, 644, 2451, 13672, 1829, 8032, 2407, 36520, 22653, 15844, 29538, 4032, 30937, 2202, 356, 30767, 1829, 11296, 24976, 2655, 7649, 10632, 13672, 1829, 39894, 3615, 9566, 9957, 1829, 2423, 31131, 2310, 24976, 39184, 37, 15844, 16247, 12610, 7578, 4032, 31131, 2310, 24976, 39184, 37, 15844, 6024, 104, 7649, 10632, 8717, 8592, 38688, 11933, 1829, 8592, 13672, 1829, 4724, 39648, 3224, 7251, 15040, 20328, 1211, 14407, 6225, 8315, 35186, 13412, 3555, 16758, 20328, 15040, 3660, 16070, 3794, 37440, 18871, 16254], "avg_logprob": -0.3056144070322231, "compression_ratio": 1.790794979079498, "no_speech_prob": 9.059906005859375e-06, 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"probability": 0.8056640625}, {"start": 5015.6, "end": 5015.92, "word": " C", "probability": 0.492431640625}], "temperature": 1.0}, {"id": 211, "seek": 503830, "start": 5017.9, "end": 5038.3, "text": "لجينا partition B2' بحيث أنه هذا نقص B2' لمين ل I2 هيكون هذا نقص هذا أصغر من إبسلون وهذا يعني أن F is integrable on I2 كده نكون هي كاحنا وصلنا", "tokens": [1211, 7435, 1829, 8315, 24808, 363, 17, 6, 4724, 5016, 1829, 12984, 14739, 3224, 23758, 8717, 4587, 9381, 363, 17, 6, 32767, 9957, 5296, 286, 17, 8032, 1829, 30544, 23758, 8717, 4587, 9381, 23758, 5551, 9381, 17082, 2288, 9154, 11933, 3555, 3794, 1211, 11536, 37037, 15730, 37495, 22653, 14739, 479, 307, 16200, 424, 638, 322, 286, 17, 9122, 3215, 3224, 8717, 30544, 39896, 9122, 39319, 8315, 4032, 36520, 8315], "avg_logprob": -0.3453125021287373, "compression_ratio": 1.375, "no_speech_prob": 7.62939453125e-06, "words": [{"start": 5017.9, "end": 5018.54, "word": "لجينا", "probability": 0.70068359375}, {"start": 5018.54, "end": 5019.06, 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