diff --git "a/PL9fwy3NUQKwZ_fogpdAdMdObPzyKLyONA/GJvPksoWKlc_raw.json" "b/PL9fwy3NUQKwZ_fogpdAdMdObPzyKLyONA/GJvPksoWKlc_raw.json" new file mode 100644--- /dev/null +++ "b/PL9fwy3NUQKwZ_fogpdAdMdObPzyKLyONA/GJvPksoWKlc_raw.json" @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 3665, "start": 21.51, "end": 36.65, "text": "بسم الله الرحمن الرحيم هنواصل مع جزء من ال mathematical induction يعني نشوف بعض الأمثلة النهائية وإن شاء الله إذا الوقت سمح هنبدأ إن شاء الله في شطر اتنين اللي هو نظرية المجموعة في المحاضرة", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 8032, 1863, 2407, 33546, 1211, 20449, 10874, 11622, 38207, 9154, 2423, 18894, 33371, 37495, 22653, 8717, 8592, 38688, 45030, 11242, 16247, 2304, 12984, 37977, 28239, 3224, 16373, 10632, 4032, 28814, 1863, 13412, 16606, 21984, 11933, 15730, 2423, 30543, 2655, 8608, 2304, 5016, 8032, 1863, 44510, 10721, 36145, 13412, 16606, 21984, 8978, 13412, 9566, 2288, 1975, 2655, 1863, 9957, 13672, 1829, 31439, 8717, 19913, 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"end": 120.72, "word": " المثال", "probability": 0.8206380208333334}, {"start": 120.72, "end": 121.06, "word": " رقم", "probability": 0.9137369791666666}, {"start": 121.06, "end": 121.38, "word": " 2", "probability": 0.9716796875}], "temperature": 1.0}, {"id": 5, "seek": 13529, "start": 121.95, "end": 135.29, "text": "ففي هذه الأمثلة بندرس بعض خواص اللي هو معامل ذو الحدين اللي هو ال binomial كفر ففي عندنا مثال بيقول prove that prove that فهذه عندنا statement و دايما", "tokens": [5172, 41185, 29538, 16247, 2304, 12984, 37977, 44945, 3215, 2288, 3794, 45030, 11242, 16490, 2407, 33546, 13672, 1829, 31439, 20449, 10943, 1211, 29910, 2407, 21542, 3215, 9957, 13672, 1829, 31439, 2423, 5171, 47429, 9122, 5172, 2288, 6156, 41185, 43242, 8315, 50113, 6027, 4724, 1829, 39648, 7081, 300, 7081, 300, 6156, 3224, 24192, 43242, 8315, 5629, 4032, 11778, 47302, 15042], "avg_logprob": -0.24049478769302368, "compression_ratio": 1.490566037735849, "no_speech_prob": 5.960464477539063e-08, "words": 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"word": " خلّيني", "probability": 0.7427734375}, {"start": 149.03, "end": 149.23, "word": " أشوف", "probability": 0.8419596354166666}, {"start": 149.23, "end": 150.73, "word": " البطلوب", "probability": 0.86181640625}, {"start": 150.73, "end": 150.91, "word": " جامعي", "probability": 0.53729248046875}, {"start": 150.91, "end": 151.01, "word": " ماني", "probability": 0.59912109375}, {"start": 151.01, "end": 151.15, "word": " أبدأ", "probability": 0.7542317708333334}, {"start": 151.15, "end": 151.45, "word": " الحل", "probability": 0.9501953125}, {"start": 151.45, "end": 152.01, "word": " if", "probability": 0.806640625}, {"start": 152.01, "end": 152.43, "word": " R", "probability": 0.95361328125}, {"start": 152.43, "end": 153.01, "word": " negative", "probability": 0.9345703125}, {"start": 153.01, "end": 154.15, "word": " then", "probability": 0.75390625}, {"start": 154.15, "end": 155.81, "word": " مظبوط", "probability": 0.8740234375}, {"start": 155.81, "end": 156.21, "word": " if", 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"word": " نوصل", "probability": 0.9202473958333334}, {"start": 183.29, "end": 183.43, "word": " و", "probability": 0.841796875}, {"start": 183.43, "end": 183.63, "word": " كل", "probability": 0.8212890625}, {"start": 183.63, "end": 183.97, "word": " خطوة", "probability": 0.99365234375}, {"start": 183.97, "end": 184.25, "word": " كيف", "probability": 0.787841796875}, {"start": 184.25, "end": 184.49, "word": " ممكن", "probability": 0.8955078125}, {"start": 184.49, "end": 184.99, "word": " نتعامل", "probability": 0.96640625}, {"start": 184.99, "end": 185.31, "word": " معها", "probability": 0.962646484375}, {"start": 185.31, "end": 185.89, "word": " فنبدأ", "probability": 0.967041015625}, {"start": 185.89, "end": 186.35, "word": " بالحل", "probability": 0.91455078125}, {"start": 186.35, "end": 187.39, "word": " solution", "probability": 0.63232421875}], "temperature": 1.0}, {"id": 8, "seek": 21605, "start": 189.47, "end": 216.05, "text": "اللي أمامي مطلوب أبرهن جملة شرطية وتعلمنا من الأساسات الأساسية في مبادئ الرياضيات كيف نتعامل مع الجملة الشرطية لو بدى جالي برهن جملة شرطية كيف ببرهنها بال direct proof بقى أفترض أن الشرط صحيح ومطلوب مني أثبت أن جواب الشرط صحيح إذا كيف بتبدأ البرهان assume that are negative تمام إذا أول شي هنقوله assume", "tokens": [6027, 20292, 5551, 2304, 10943, 1829, 3714, 9566, 1211, 37746, 5551, 26890, 3224, 1863, 10874, 2304, 37977, 13412, 2288, 9566, 10632, 34683, 3615, 19528, 8315, 9154, 16247, 3794, 32277, 9307, 16247, 3794, 32277, 10632, 8978, 3714, 3555, 18513, 19986, 2423, 16572, 46958, 1829, 9307, 9122, 33911, 8717, 2655, 3615, 10943, 1211, 20449, 25724, 2304, 37977, 25124, 2288, 9566, 10632, 45164, 47525, 7578, 10874, 6027, 1829, 4724, 2288, 3224, 1863, 10874, 2304, 37977, 13412, 2288, 9566, 10632, 9122, 33911, 4724, 26890, 3224, 1863, 11296, 20666, 2047, 8177, 4724, 4587, 7578, 5551, 5172, 2655, 43042, 14739, 25124, 2288, 9566, 20328, 5016, 1829, 5016, 4032, 2304, 9566, 1211, 37746, 9154, 1829, 5551, 12984, 3555, 2655, 14739, 10874, 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"probability": 0.9912109375}, {"start": 194.49, "end": 195.43, "word": " الأساسات", "probability": 0.9742431640625}, {"start": 195.43, "end": 196.61, "word": " الأساسية", "probability": 0.9881591796875}, {"start": 196.61, "end": 197.07, "word": " في", "probability": 0.95751953125}, {"start": 197.07, "end": 197.59, "word": " مبادئ", "probability": 0.986328125}, {"start": 197.59, "end": 198.43, "word": " الرياضيات", "probability": 0.97080078125}, {"start": 198.43, "end": 199.01, "word": " كيف", "probability": 0.94677734375}, {"start": 199.01, "end": 199.83, "word": " نتعامل", "probability": 0.99365234375}, {"start": 199.83, "end": 200.51, "word": " مع", "probability": 0.9072265625}, {"start": 200.51, "end": 200.87, "word": " الجملة", "probability": 0.7459309895833334}, {"start": 200.87, "end": 201.27, "word": " الشرطية", "probability": 0.9906005859375}, {"start": 201.27, "end": 201.39, "word": " لو", "probability": 0.5673828125}, {"start": 201.39, "end": 201.57, "word": " بدى", "probability": 0.32080078125}, {"start": 201.57, "end": 201.81, "word": " جالي", "probability": 0.83203125}, {"start": 201.81, "end": 202.11, "word": " برهن", "probability": 0.7069091796875}, {"start": 202.11, "end": 202.31, "word": " جملة", "probability": 0.9264322916666666}, {"start": 202.31, "end": 202.65, "word": " شرطية", "probability": 0.996826171875}, {"start": 202.65, "end": 202.85, "word": " كيف", "probability": 0.928466796875}, {"start": 202.85, "end": 203.21, "word": " ببرهنها", "probability": 0.7998046875}, {"start": 203.21, "end": 203.31, "word": " بال", "probability": 0.95947265625}, {"start": 203.31, "end": 203.55, "word": " direct", "probability": 0.2900390625}, {"start": 203.55, "end": 203.85, "word": " proof", "probability": 0.2476806640625}, {"start": 203.85, "end": 204.33, "word": " بقى", "probability": 0.8216145833333334}, {"start": 204.33, "end": 204.79, "word": " أفترض", "probability": 0.8817138671875}, {"start": 204.79, "end": 204.99, "word": " أن", "probability": 0.515625}, {"start": 204.99, "end": 205.49, "word": " الشرط", "probability": 0.93310546875}, {"start": 205.49, "end": 206.05, "word": " صحيح", "probability": 0.9979248046875}, {"start": 206.05, "end": 206.67, "word": " ومطلوب", "probability": 0.96318359375}, {"start": 206.67, "end": 207.01, "word": " مني", "probability": 0.905029296875}, {"start": 207.01, "end": 207.61, "word": " أثبت", "probability": 0.9857177734375}, {"start": 207.61, "end": 207.99, "word": " أن", "probability": 0.865234375}, {"start": 207.99, "end": 208.41, "word": " جواب", "probability": 0.94677734375}, {"start": 208.41, "end": 208.73, "word": " الشرط", "probability": 0.9671223958333334}, {"start": 208.73, "end": 209.09, "word": " صحيح", "probability": 0.989013671875}, {"start": 209.09, "end": 209.39, "word": " إذا", "probability": 0.880126953125}, {"start": 209.39, "end": 209.61, "word": " كيف", "probability": 0.95458984375}, {"start": 209.61, "end": 209.87, "word": " بتبدأ", "probability": 0.7767740885416666}, {"start": 209.87, "end": 210.33, "word": " البرهان", "probability": 0.8328857421875}, {"start": 210.33, "end": 211.39, "word": " assume", "probability": 0.358642578125}, {"start": 211.39, "end": 211.73, "word": " that", "probability": 0.876953125}, {"start": 211.73, "end": 212.13, "word": " are", "probability": 0.83935546875}, {"start": 212.13, "end": 212.65, "word": " negative", "probability": 0.943359375}, {"start": 212.65, "end": 213.33, "word": " تمام", "probability": 0.894287109375}, {"start": 213.33, "end": 213.65, "word": " إذا", "probability": 0.74951171875}, {"start": 213.65, "end": 214.05, "word": " أول", "probability": 0.8251953125}, {"start": 214.05, "end": 214.21, "word": " شي", "probability": 0.7392578125}, {"start": 214.21, "end": 214.89, "word": " هنقوله", "probability": 0.82470703125}, {"start": 214.89, "end": 216.05, "word": " assume", "probability": 0.8828125}], "temperature": 1.0}, {"id": 9, "seek": 23790, "start": 217.18, "end": 237.9, "text": "R Negative ممتاز ايش مطلوب مني انه اثبت صحة جواب الشرط خلينا نكتب we want to prove او to show اللي هو يشفر all N تنتمي لل N C N R تساوي Zero هذا مطلوب", "tokens": [49, 43230, 3714, 2304, 2655, 31377, 1975, 1829, 8592, 3714, 9566, 1211, 37746, 9154, 1829, 16472, 3224, 1975, 12984, 3555, 2655, 20328, 5016, 3660, 10874, 14407, 3555, 25124, 2288, 9566, 16490, 20292, 8315, 8717, 4117, 2655, 3555, 321, 528, 281, 7081, 1975, 2407, 281, 855, 13672, 1829, 31439, 7251, 8592, 5172, 2288, 439, 426, 6055, 29399, 2304, 1829, 24976, 426, 383, 426, 497, 6055, 3794, 995, 45865, 17182, 23758, 3714, 9566, 1211, 37746], "avg_logprob": -0.28695100666703405, "compression_ratio": 1.3532934131736527, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 217.18, "end": 217.76, "word": "R", "probability": 0.4921875}, {"start": 217.76, "end": 218.52, "word": " Negative", "probability": 0.2220458984375}, {"start": 218.52, "end": 219.22, "word": " ممتاز", "probability": 0.904541015625}, {"start": 219.22, "end": 220.14, "word": " ايش", "probability": 0.6700032552083334}, {"start": 220.14, "end": 220.5, "word": " مطلوب", "probability": 0.9442138671875}, {"start": 220.5, "end": 220.88, "word": " مني", "probability": 0.877197265625}, {"start": 220.88, "end": 221.84, "word": " انه", "probability": 0.5423583984375}, {"start": 221.84, "end": 222.44, "word": " اثبت", "probability": 0.9395751953125}, {"start": 222.44, "end": 222.96, "word": " صحة", "probability": 0.7574869791666666}, {"start": 222.96, "end": 223.34, "word": " جواب", "probability": 0.9811197916666666}, {"start": 223.34, "end": 223.88, "word": " الشرط", "probability": 0.9375}, {"start": 223.88, "end": 224.22, "word": " خلينا", "probability": 0.5357259114583334}, {"start": 224.22, "end": 224.62, "word": " نكتب", "probability": 0.9952392578125}, {"start": 224.62, "end": 225.3, "word": " we", "probability": 0.2459716796875}, {"start": 225.3, "end": 225.9, "word": " want", "probability": 0.9248046875}, {"start": 225.9, "end": 227.56, "word": " to", "probability": 0.93115234375}, {"start": 227.56, "end": 228.12, "word": " prove", "probability": 0.8662109375}, {"start": 228.12, "end": 228.9, "word": " او", "probability": 0.654296875}, {"start": 228.9, "end": 229.02, "word": " to", "probability": 0.94287109375}, {"start": 229.02, "end": 229.42, "word": " show", "probability": 0.9599609375}, {"start": 229.42, "end": 230.04, "word": " اللي", "probability": 0.854248046875}, {"start": 230.04, "end": 230.18, "word": " هو", "probability": 0.9638671875}, {"start": 230.18, "end": 230.84, "word": " يشفر", "probability": 0.825927734375}, {"start": 230.84, "end": 231.24, "word": " all", "probability": 0.72607421875}, {"start": 231.24, "end": 231.6, "word": " N", "probability": 0.278076171875}, {"start": 231.6, "end": 232.36, "word": " تنتمي", "probability": 0.9786376953125}, {"start": 232.36, "end": 232.58, "word": " لل", "probability": 0.46337890625}, {"start": 232.58, "end": 232.94, "word": " N", "probability": 0.642578125}, {"start": 232.94, "end": 234.48, "word": " C", "probability": 0.1749267578125}, {"start": 234.48, "end": 235.32, "word": " N", "probability": 0.323974609375}, {"start": 235.32, "end": 236.16, "word": " R", "probability": 0.93798828125}, {"start": 236.16, "end": 236.84, "word": " تساوي", "probability": 0.80908203125}, {"start": 236.84, "end": 237.08, "word": " Zero", "probability": 0.29736328125}, {"start": 237.08, "end": 237.46, "word": " هذا", "probability": 0.8984375}, {"start": 237.46, "end": 237.9, "word": " مطلوب", "probability": 0.9656982421875}], "temperature": 1.0}, {"id": 10, "seek": 25862, "start": 239.94, "end": 258.62, "text": "واضح؟ ايش اللي عملناه؟ شوفنا السؤال لجناه عبارة عن اثبات جملة شرطية طبقنا عليها ما تعلمناها عشان اثبت جملة شرطية بفترض ان الشرط صحيح ومطلوب مني اثبت ان جواب الشرط صحيح تمام بدنا نثبت ان جواب الشرط صحيح", "tokens": [2407, 46958, 5016, 22807, 1975, 1829, 8592, 13672, 1829, 6225, 42213, 8315, 3224, 22807, 13412, 38688, 8315, 21136, 33604, 6027, 5296, 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{"start": 241.16, "end": 242.26, "word": " عملناه؟", "probability": 0.94091796875}, {"start": 242.26, "end": 242.58, "word": " شوفنا", "probability": 0.82080078125}, {"start": 242.58, "end": 243.18, "word": " السؤال", "probability": 0.99560546875}, {"start": 243.18, "end": 244.32, "word": " لجناه", "probability": 0.62457275390625}, {"start": 244.32, "end": 244.86, "word": " عبارة", "probability": 0.99365234375}, {"start": 244.86, "end": 245.2, "word": " عن", "probability": 0.99658203125}, {"start": 245.2, "end": 245.76, "word": " اثبات", "probability": 0.8822021484375}, {"start": 245.76, "end": 246.14, "word": " جملة", "probability": 0.9840494791666666}, {"start": 246.14, "end": 246.78, "word": " شرطية", "probability": 0.9892578125}, {"start": 246.78, "end": 247.84, "word": " طبقنا", "probability": 0.92626953125}, {"start": 247.84, "end": 248.14, "word": " عليها", "probability": 0.75244140625}, {"start": 248.14, "end": 248.26, "word": " ما", "probability": 0.912109375}, {"start": 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"end": 254.52, "word": " ان", "probability": 0.90234375}, {"start": 254.52, "end": 254.96, "word": " جواب", "probability": 0.98876953125}, {"start": 254.96, "end": 255.34, "word": " الشرط", "probability": 0.9658203125}, {"start": 255.34, "end": 255.8, "word": " صحيح", "probability": 0.9876708984375}, {"start": 255.8, "end": 256.38, "word": " تمام", "probability": 0.943115234375}, {"start": 256.38, "end": 257.06, "word": " بدنا", "probability": 0.7294921875}, {"start": 257.06, "end": 257.4, "word": " نثبت", "probability": 0.99560546875}, {"start": 257.4, "end": 257.52, "word": " ان", "probability": 0.88037109375}, {"start": 257.52, "end": 257.86, "word": " جواب", "probability": 0.9912109375}, {"start": 257.86, "end": 258.2, "word": " الشرط", "probability": 0.96923828125}, {"start": 258.2, "end": 258.62, "word": " صحيح", "probability": 0.99755859375}], "temperature": 1.0}, {"id": 11, "seek": 28408, "start": 259.2, "end": 284.08, "text": "إيش نوع ال statement هذه؟ هذه عبارة عن صورة for all and p of n كيف ممكن نبرهنها؟ بال mathematical induction بال mathematical induction إذا إيش عايز ممكن أكتربله الآن؟ I will use mathematical induction او we will use we will use mathematical induction mathematical induction تمام؟", "tokens": [28814, 1829, 8592, 8717, 45367, 2423, 5629, 29538, 22807, 29538, 6225, 3555, 9640, 3660, 18871, 20328, 13063, 3660, 337, 439, 293, 280, 295, 297, 9122, 33911, 3714, 43020, 8717, 26890, 3224, 1863, 11296, 22807, 20666, 18894, 33371, 20666, 18894, 33371, 11933, 15730, 11933, 1829, 8592, 6225, 47302, 11622, 3714, 43020, 5551, 4117, 2655, 2288, 36150, 3224, 6024, 48506, 22807, 286, 486, 764, 18894, 33371, 1975, 2407, 321, 486, 764, 321, 486, 764, 18894, 33371, 18894, 33371, 46811, 10943, 22807], "avg_logprob": -0.2726562641561031, "compression_ratio": 1.8601036269430051, "no_speech_prob": 0.0, "words": [{"start": 259.2, "end": 259.52, "word": "إيش", "probability": 0.6771240234375}, {"start": 259.52, "end": 259.74, "word": " نوع", "probability": 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264.32, "end": 264.7, "word": " n", "probability": 0.9404296875}, {"start": 264.7, "end": 265.4, "word": " كيف", "probability": 0.93603515625}, {"start": 265.4, "end": 265.68, "word": " ممكن", "probability": 0.964111328125}, {"start": 265.68, "end": 266.58, "word": " نبرهنها؟", "probability": 0.85101318359375}, {"start": 266.58, "end": 266.96, "word": " بال", "probability": 0.9443359375}, {"start": 266.96, "end": 267.52, "word": " mathematical", "probability": 0.56396484375}, {"start": 267.52, "end": 268.12, "word": " induction", "probability": 0.97412109375}, {"start": 268.12, "end": 268.5, "word": " بال", "probability": 0.82080078125}, {"start": 268.5, "end": 268.92, "word": " mathematical", "probability": 0.6376953125}, {"start": 268.92, "end": 269.44, "word": " induction", "probability": 0.9833984375}, {"start": 269.44, "end": 269.66, "word": " إذا", "probability": 0.686767578125}, {"start": 269.66, "end": 269.8, "word": " إيش", "probability": 0.770751953125}, {"start": 269.8, 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"word": " use", "probability": 0.9091796875}, {"start": 275.1, "end": 275.9, "word": " we", "probability": 0.372802734375}, {"start": 275.9, "end": 276.96, "word": " will", "probability": 0.91015625}, {"start": 276.96, "end": 277.5, "word": " use", "probability": 0.91064453125}, {"start": 277.5, "end": 278.46, "word": " mathematical", "probability": 0.857421875}, {"start": 278.46, "end": 279.24, "word": " induction", "probability": 0.96630859375}, {"start": 279.24, "end": 280.64, "word": " mathematical", "probability": 0.8193359375}, {"start": 280.64, "end": 282.74, "word": " induction", "probability": 0.97314453125}, {"start": 282.74, "end": 284.08, "word": " تمام؟", "probability": 0.9461263020833334}], "temperature": 1.0}, {"id": 12, "seek": 29957, "start": 285.15, "end": 299.57, "text": "خلّينا نشوف ليش هذه الـ Mathematical Induction تظبط معها ونحللها بشكل واضح مين ال P of N في هذه ال statement؟ C N R تساوي Zero ومين ال Universe؟", "tokens": [9778, 1211, 11703, 9957, 995, 8717, 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" K", "probability": 0.78369140625}, {"start": 422.86, "end": 423.74, "word": " is", "probability": 0.8251953125}, {"start": 423.74, "end": 423.92, "word": " it", "probability": 0.859375}, {"start": 423.92, "end": 424.28, "word": " true", "probability": 0.96826171875}, {"start": 424.28, "end": 426.24, "word": " implies", "probability": 0.57080078125}, {"start": 426.24, "end": 427.34, "word": " B", "probability": 0.955078125}, {"start": 427.34, "end": 428.12, "word": " of", "probability": 0.97802734375}, {"start": 428.12, "end": 428.36, "word": " K", "probability": 0.97021484375}, {"start": 428.36, "end": 428.72, "word": " plus", "probability": 0.7255859375}, {"start": 428.72, "end": 429.12, "word": " 1", "probability": 0.59423828125}, {"start": 429.12, "end": 429.68, "word": " is", "probability": 0.765625}, {"start": 429.68, "end": 429.86, "word": " it", "probability": 0.8671875}, {"start": 429.86, "end": 431.52, "word": " true؟", "probability": 0.70361328125}, {"start": 431.52, "end": 431.74, "word": " فده", "probability": 0.89306640625}, {"start": 431.74, "end": 432.36, "word": " مطلوب،", "probability": 0.94912109375}, {"start": 432.36, "end": 432.62, "word": " علمت", "probability": 0.6689453125}, {"start": 432.62, "end": 433.22, "word": " استفهام", "probability": 0.8536376953125}, {"start": 433.22, "end": 435.38, "word": " تمام،", "probability": 0.6429036458333334}, {"start": 435.38, "end": 436.5, "word": " نكتب", "probability": 0.9071044921875}, {"start": 436.5, "end": 436.7, "word": " هنا", "probability": 0.9951171875}], "temperature": 1.0}, {"id": 18, "seek": 46698, "start": 438.36, "end": 466.98, "text": "كالعادة هذه برضه جملة شرطية ايش بتدبداها؟ بدنا assume that اه حد يعترض يقول طب انت كتبت assume that assume هذه السؤال من الأول انا بمشي خطوة خطوة ايش بيقابلني بشوف الطريقة المثلة لاتعامل معاه بكرر نفس الاسلوب لا مانع المهم انا في كل خطوة بشوف ايش المطلوب وكيف اتعامل معاه كيف اتعامل معاه مافيش معنى انه اكرر نفس الفكرة لإذا كان أنا مطلوب مني اكتر من مرة اكتر من مرة نفس العملية فهنا هذا مطلوب", "tokens": [4117, 6027, 3615, 18513, 3660, 29538, 4724, 43042, 3224, 10874, 2304, 37977, 13412, 2288, 9566, 10632, 1975, 1829, 8592, 39894, 3215, 3555, 28259, 11296, 22807, 47525, 8315, 6552, 300, 1975, 3224, 11331, 3215, 7251, 34268, 43042, 7251, 39648, 23032, 3555, 16472, 2655, 9122, 2655, 3555, 2655, 6552, 300, 6552, 29538, 21136, 33604, 6027, 9154, 16247, 12610, 1975, 8315, 4724, 2304, 8592, 1829, 16490, 9566, 2407, 3660, 16490, 9566, 2407, 3660, 1975, 1829, 8592, 4724, 1829, 4587, 16758, 1211, 22653, 4724, 8592, 38688, 41950, 16572, 28671, 9673, 12984, 37977, 5296, 9307, 3615, 10943, 1211, 20449, 40294, 4724, 37983, 2288, 8717, 36178, 2423, 32277, 1211, 37746, 20193, 3714, 7649, 3615, 9673, 16095, 1975, 8315, 8978, 28242, 16490, 9566, 2407, 3660, 4724, 8592, 38688, 1975, 1829, 8592, 9673, 9566, 1211, 37746, 4032, 4117, 33911, 1975, 2655, 3615, 10943, 1211, 20449, 40294, 9122, 33911, 1975, 2655, 3615, 10943, 1211, 20449, 40294, 19446, 41185, 8592, 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بتدبداها؟", "probability": 0.6007893880208334}, {"start": 443.04, "end": 443.22, "word": " بدنا", "probability": 0.56072998046875}, {"start": 443.22, "end": 443.5, "word": " assume", "probability": 0.66015625}, {"start": 443.5, "end": 443.96, "word": " that", "probability": 0.9150390625}, {"start": 443.96, "end": 444.64, "word": " اه", "probability": 0.44732666015625}, {"start": 444.64, "end": 444.94, "word": " حد", "probability": 0.891845703125}, {"start": 444.94, "end": 445.32, "word": " يعترض", "probability": 0.9674479166666666}, {"start": 445.32, "end": 445.54, "word": " يقول", "probability": 0.846435546875}, {"start": 445.54, "end": 445.72, "word": " طب", "probability": 0.7529296875}, {"start": 445.72, "end": 445.88, "word": " انت", "probability": 0.87890625}, {"start": 445.88, "end": 446.26, "word": " كتبت", "probability": 0.9354248046875}, {"start": 446.26, "end": 446.54, "word": " assume", "probability": 0.92333984375}, {"start": 446.54, "end": 446.92, "word": " that", 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0.8138834635416666}, {"start": 451.4, "end": 451.92, "word": " الطريقة", "probability": 0.9822591145833334}, {"start": 451.92, "end": 452.38, "word": " المثلة", "probability": 0.753173828125}, {"start": 452.38, "end": 452.8, "word": " لاتعامل", "probability": 0.825}, {"start": 452.8, "end": 453.06, "word": " معاه", "probability": 0.8740234375}, {"start": 453.06, "end": 453.78, "word": " بكرر", "probability": 0.966796875}, {"start": 453.78, "end": 453.98, "word": " نفس", "probability": 0.997802734375}, {"start": 453.98, "end": 454.44, "word": " الاسلوب", "probability": 0.841552734375}, {"start": 454.44, "end": 454.66, "word": " لا", "probability": 0.49658203125}, {"start": 454.66, "end": 455.1, "word": " مانع", "probability": 0.94970703125}, {"start": 455.1, "end": 455.52, "word": " المهم", "probability": 0.980712890625}, {"start": 455.52, "end": 455.72, "word": " انا", "probability": 0.804443359375}, {"start": 455.72, "end": 455.84, "word": " في", "probability": 0.94140625}, {"start": 455.84, "end": 456.0, "word": " كل", "probability": 0.98583984375}, {"start": 456.0, "end": 456.38, "word": " خطوة", "probability": 0.9873046875}, {"start": 456.38, "end": 456.92, "word": " بشوف", "probability": 0.9930013020833334}, {"start": 456.92, "end": 457.18, "word": " ايش", "probability": 0.9072265625}, {"start": 457.18, "end": 457.72, "word": " المطلوب", "probability": 0.9822998046875}, {"start": 457.72, "end": 458.4, "word": " وكيف", "probability": 0.87890625}, {"start": 458.4, "end": 458.92, "word": " اتعامل", "probability": 0.96865234375}, {"start": 458.92, "end": 459.26, "word": " معاه", "probability": 0.946044921875}, {"start": 459.26, "end": 459.66, "word": " كيف", "probability": 0.671142578125}, {"start": 459.66, "end": 460.0, "word": " اتعامل", "probability": 0.97470703125}, {"start": 460.0, "end": 460.14, "word": " معاه", "probability": 0.990234375}, {"start": 460.14, "end": 460.4, "word": " مافيش", "probability": 0.8899739583333334}, {"start": 460.4, "end": 460.64, "word": " معنى", "probability": 0.8349609375}, {"start": 460.64, "end": 460.78, "word": " انه", "probability": 0.849365234375}, {"start": 460.78, "end": 461.26, "word": " اكرر", "probability": 0.97119140625}, {"start": 461.26, "end": 461.68, "word": " نفس", "probability": 0.99609375}, {"start": 461.68, "end": 462.04, "word": " الفكرة", "probability": 0.9895833333333334}, {"start": 462.04, "end": 462.24, "word": " لإذا", "probability": 0.73974609375}, {"start": 462.24, "end": 462.44, "word": " كان", "probability": 0.95361328125}, {"start": 462.44, "end": 462.56, "word": " أنا", "probability": 0.29541015625}, {"start": 462.56, "end": 462.8, "word": " مطلوب", "probability": 0.9732666015625}, {"start": 462.8, "end": 463.02, "word": " مني", "probability": 0.924560546875}, {"start": 463.02, "end": 463.26, "word": " اكتر", "probability": 0.896728515625}, {"start": 463.26, "end": 463.38, "word": " من", "probability": 0.9833984375}, {"start": 463.38, "end": 463.66, "word": " مرة", "probability": 0.988037109375}, {"start": 463.66, "end": 464.22, "word": " اكتر", "probability": 0.9669189453125}, {"start": 464.22, "end": 464.32, "word": " من", "probability": 0.9873046875}, {"start": 464.32, "end": 464.52, "word": " مرة", "probability": 0.995361328125}, {"start": 464.52, "end": 464.74, "word": " نفس", "probability": 0.993896484375}, {"start": 464.74, "end": 465.14, "word": " العملية", "probability": 0.8727213541666666}, {"start": 465.14, "end": 465.72, "word": " فهنا", "probability": 0.96728515625}, {"start": 465.72, "end": 466.46, "word": " هذا", "probability": 0.78759765625}, {"start": 466.46, "end": 466.98, "word": " مطلوب", "probability": 0.960693359375}], "temperature": 1.0}, {"id": 19, "seek": 49515, "start": 467.37, "end": 495.15, "text": "جملة شرطية اذا ببدأ البرهان ان افترض ان الشرط صحيح فهنقول له assume B of K is true ليه؟ خلينا نفسرها عشان نتعامل معها ما هي B of K؟ من وين تجيبها؟ بتخترعها؟ لأ هي B of N B of K عبارة عن مين؟ CKR تساوي 0 is true ايش المطلوب؟ 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"probability": 0.265625}, {"start": 475.35, "end": 475.71, "word": " of", "probability": 0.6953125}, {"start": 475.71, "end": 476.05, "word": " K", "probability": 0.9130859375}, {"start": 476.05, "end": 477.37, "word": " is", "probability": 0.87548828125}, {"start": 477.37, "end": 477.71, "word": " true", "probability": 0.87841796875}, {"start": 477.71, "end": 478.07, "word": " ليه؟", "probability": 0.8333333333333334}, {"start": 478.07, "end": 478.31, "word": " خلينا", "probability": 0.7521158854166666}, {"start": 478.31, "end": 478.69, "word": " نفسرها", "probability": 0.977783203125}, {"start": 478.69, "end": 478.83, "word": " عشان", "probability": 0.9620768229166666}, {"start": 478.83, "end": 479.21, "word": " نتعامل", "probability": 0.98310546875}, {"start": 479.21, "end": 479.51, "word": " معها", "probability": 0.803955078125}, {"start": 479.51, "end": 479.91, "word": " ما", "probability": 0.85009765625}, {"start": 479.91, "end": 480.11, "word": " هي", "probability": 0.54443359375}, {"start": 480.11, "end": 480.31, "word": " B", "probability": 0.89697265625}, {"start": 480.31, "end": 480.51, "word": " of", "probability": 0.9736328125}, {"start": 480.51, "end": 481.13, "word": " K؟", "probability": 0.69287109375}, {"start": 481.13, "end": 481.25, "word": " من", "probability": 0.9697265625}, {"start": 481.25, "end": 481.43, "word": " وين", "probability": 0.9375}, {"start": 481.43, "end": 481.93, "word": " تجيبها؟", "probability": 0.8629150390625}, {"start": 481.93, "end": 482.85, "word": " بتخترعها؟", "probability": 0.8416341145833334}, {"start": 482.85, "end": 483.11, "word": " لأ", "probability": 0.893310546875}, {"start": 483.11, "end": 483.35, "word": " هي", "probability": 0.7529296875}, {"start": 483.35, "end": 483.97, "word": " B", "probability": 0.2230224609375}, {"start": 483.97, "end": 484.21, "word": " of", "probability": 0.94140625}, {"start": 484.21, "end": 484.39, "word": " N", "probability": 0.91455078125}, {"start": 484.39, "end": 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المطلوب؟", "probability": 0.97509765625}, {"start": 493.97, "end": 494.53, "word": " we", "probability": 0.62841796875}, {"start": 494.53, "end": 495.15, "word": " have", "probability": 0.96728515625}], "temperature": 1.0}, {"id": 20, "seek": 51064, "start": 497.22, "end": 510.64, "text": "to show that bk plus one اللي هي bk plus one اللي هي ck plus one r تساوي Zero", "tokens": [1353, 855, 300, 272, 74, 1804, 472, 13672, 1829, 39896, 272, 74, 1804, 472, 13672, 1829, 39896, 269, 74, 1804, 472, 367, 6055, 3794, 995, 45865, 17182], "avg_logprob": -0.4369419642857143, "compression_ratio": 1.4461538461538461, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 497.22, "end": 497.42, "word": "to", "probability": 0.07763671875}, {"start": 497.42, "end": 497.86, "word": " show", "probability": 0.95751953125}, {"start": 497.86, "end": 499.6, "word": " that", "probability": 0.88232421875}, {"start": 499.6, "end": 501.8, "word": " bk", "probability": 0.5496826171875}, {"start": 501.8, 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665.61, "word": " هنا", "probability": 0.8974609375}, {"start": 665.61, "end": 666.19, "word": " solution", "probability": 0.93310546875}, {"start": 666.19, "end": 667.07, "word": " by", "probability": 0.8779296875}, {"start": 667.07, "end": 668.09, "word": " Mathematical", "probability": 0.8191731770833334}, {"start": 668.09, "end": 668.49, "word": " induction", "probability": 0.93994140625}, {"start": 668.49, "end": 671.43, "word": " by", "probability": 0.7294921875}], "temperature": 1.0}, {"id": 27, "seek": 69802, "start": 672.1, "end": 698.02, "text": "mathematical induction ممتازة مين ال B of N؟ C N Zero تساوي واحد، مظبوط؟ ومين ال universe؟ N أعيد صياغة ولا واضحة؟ واضحة، إذا هنبدأ من مين؟ B of one B of one, is it true؟", "tokens": [24761, 8615, 804, 33371, 3714, 2304, 2655, 31377, 3660, 3714, 9957, 2423, 363, 295, 426, 22807, 383, 426, 17182, 6055, 3794, 995, 45865, 36764, 24401, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 4032, 2304, 9957, 2423, 6445, 22807, 426, 5551, 3615, 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"end": 722.02, "word": " B", "probability": 0.60302734375}, {"start": 722.02, "end": 722.24, "word": " of", "probability": 0.97265625}, {"start": 722.24, "end": 722.72, "word": " 1", "probability": 0.94287109375}, {"start": 722.72, "end": 722.94, "word": " ما", "probability": 0.8369140625}, {"start": 722.94, "end": 723.1, "word": " هي", "probability": 0.40966796875}, {"start": 723.1, "end": 723.34, "word": " B", "probability": 0.771484375}, {"start": 723.34, "end": 723.54, "word": " of", "probability": 0.97509765625}, {"start": 723.54, "end": 723.8, "word": " 1", "probability": 0.96044921875}, {"start": 723.8, "end": 724.16, "word": " زي", "probability": 0.822509765625}, {"start": 724.16, "end": 724.24, "word": " ما", "probability": 0.96923828125}, {"start": 724.24, "end": 724.76, "word": " اتفقنا", "probability": 0.9826171875}, {"start": 724.76, "end": 726.72, "word": " C10", "probability": 0.545166015625}, {"start": 726.72, "end": 727.52, "word": " بديها", "probability": 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"probability": 0.92822265625}, {"start": 746.72, "end": 747.64, "word": " وحسبنا", "probability": 0.859130859375}, {"start": 747.64, "end": 747.84, "word": " C", "probability": 0.56591796875}, {"start": 747.84, "end": 748.12, "word": " 2", "probability": 0.3134765625}, {"start": 748.12, "end": 748.46, "word": " 1", "probability": 0.4873046875}, {"start": 748.46, "end": 748.98, "word": " ورجعنا", "probability": 0.69599609375}, {"start": 748.98, "end": 749.38, "word": " احتجنا", "probability": 0.80450439453125}, {"start": 749.38, "end": 749.66, "word": " C", "probability": 0.9482421875}, {"start": 749.66, "end": 750.16, "word": " 1", "probability": 0.32080078125}, {"start": 750.16, "end": 750.4, "word": " 0", "probability": 0.9560546875}, {"start": 750.4, "end": 750.9, "word": " فبساوي", "probability": 0.74775390625}, {"start": 750.9, "end": 751.12, "word": " واحد", "probability": 0.96533203125}, {"start": 751.12, "end": 752.32, "word": " if", "probability": 0.2020263671875}, {"start": 752.32, "end": 752.56, "word": " P", "probability": 0.9580078125}, {"start": 752.56, "end": 752.76, "word": " of", "probability": 0.96142578125}, {"start": 752.76, "end": 752.94, "word": " one", "probability": 0.912109375}, {"start": 752.94, "end": 753.08, "word": " is", "probability": 0.96044921875}, {"start": 753.08, "end": 753.34, "word": " true", "probability": 0.95849609375}, {"start": 753.34, "end": 754.36, "word": " ننتقل", "probability": 0.9227294921875}, {"start": 754.36, "end": 754.68, "word": " للخطوة", "probability": 0.86806640625}, {"start": 754.68, "end": 755.0, "word": " رقم", "probability": 0.8982747395833334}, {"start": 755.0, "end": 755.42, "word": " اتنين", "probability": 0.8817138671875}], "temperature": 1.0}, {"id": 30, "seek": 78487, "start": 756.89, "end": 784.87, "text": "B of K is true implies B of K plus one is true أشرح .. أسي��م .. الكل ان شاء الله تعود على هذه الخطوة ويستوعبها B of K هي عبارة عن ايش؟ C K zero to one is true ايش المطلوب؟", "tokens": [33, 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"probability": 0.607421875}, {"start": 760.37, "end": 760.93, "word": " B", "probability": 0.72314453125}, {"start": 760.93, "end": 761.23, "word": " of", "probability": 0.95361328125}, {"start": 761.23, "end": 761.49, "word": " K", "probability": 0.94482421875}, {"start": 761.49, "end": 761.89, "word": " plus", "probability": 0.591796875}, {"start": 761.89, "end": 762.31, "word": " one", "probability": 0.59619140625}, {"start": 762.31, "end": 763.23, "word": " is", "probability": 0.9150390625}, {"start": 763.23, "end": 764.77, "word": " true", "probability": 0.9052734375}, {"start": 764.77, "end": 770.27, "word": " أشرح", "probability": 0.565277099609375}, {"start": 770.27, "end": 770.29, "word": " ..", "probability": 0.1312255859375}, {"start": 770.29, "end": 770.81, "word": " أسيوم", "probability": 0.7467041015625}, {"start": 770.81, "end": 771.01, "word": " ..", "probability": 0.5458984375}, {"start": 771.01, "end": 771.35, "word": " الكل", "probability": 0.6630859375}, {"start": 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عبارة", "probability": 0.989013671875}, {"start": 777.21, "end": 777.41, "word": " عن", "probability": 0.98486328125}, {"start": 777.41, "end": 778.17, "word": " ايش؟", "probability": 0.691619873046875}, {"start": 778.17, "end": 778.73, "word": " C", "probability": 0.556640625}, {"start": 778.73, "end": 779.67, "word": " K", "probability": 0.34521484375}, {"start": 779.67, "end": 780.23, "word": " zero", "probability": 0.1807861328125}, {"start": 780.23, "end": 780.43, "word": " to", "probability": 0.76171875}, {"start": 780.43, "end": 780.99, "word": " one", "probability": 0.6162109375}, {"start": 780.99, "end": 781.31, "word": " is", "probability": 0.88427734375}, {"start": 781.31, "end": 781.65, "word": " true", "probability": 0.939453125}, {"start": 781.65, "end": 783.69, "word": " ايش", "probability": 0.7274169921875}, {"start": 783.69, "end": 784.87, "word": " المطلوب؟", "probability": 0.9580078125}], "temperature": 1.0}, {"id": 31, "seek": 80768, "start": 787.1, "end": 807.68, "text": "to show that bk plus one اللي هي ck plus one zero to one is it true .. is it true انتبعين؟ اكمل؟", "tokens": [1353, 855, 300, 272, 74, 1804, 472, 13672, 1829, 39896, 269, 74, 1804, 472, 4018, 281, 472, 307, 309, 2074, 4386, 307, 309, 2074, 16472, 2655, 3555, 3615, 9957, 22807, 1975, 24793, 1211, 22807], "avg_logprob": -0.31250000851494925, "compression_ratio": 1.2105263157894737, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 787.1, "end": 787.28, "word": "to", "probability": 0.445068359375}, {"start": 787.28, "end": 787.72, "word": " show", "probability": 0.96484375}, {"start": 787.72, "end": 790.14, "word": " that", "probability": 0.91845703125}, {"start": 790.14, "end": 791.64, "word": " bk", "probability": 0.7086181640625}, {"start": 791.64, "end": 792.08, "word": " plus", "probability": 0.3818359375}, {"start": 792.08, "end": 792.6, "word": " one", "probability": 0.861328125}, {"start": 792.6, "end": 792.98, "word": " اللي", "probability": 0.841796875}, {"start": 792.98, "end": 793.26, "word": " هي", "probability": 0.95068359375}, {"start": 793.26, "end": 794.08, "word": " ck", "probability": 0.86572265625}, {"start": 794.08, "end": 794.5, "word": " plus", "probability": 0.96875}, {"start": 794.5, "end": 795.12, "word": " one", "probability": 0.955078125}, {"start": 795.12, "end": 795.72, "word": " zero", "probability": 0.437744140625}, {"start": 795.72, "end": 795.92, "word": " to", "probability": 0.908203125}, {"start": 795.92, "end": 796.36, "word": " one", "probability": 0.65576171875}, {"start": 796.36, "end": 796.6, "word": " is", "probability": 0.8193359375}, {"start": 796.6, "end": 796.74, "word": " it", "probability": 0.5419921875}, {"start": 796.74, "end": 797.08, "word": " true", "probability": 0.97802734375}, {"start": 797.08, "end": 797.08, "word": " ..", "probability": 0.266845703125}, {"start": 797.08, "end": 798.04, "word": " is", "probability": 0.67041015625}, {"start": 798.04, "end": 798.2, "word": " it", "probability": 0.96875}, {"start": 798.2, "end": 799.94, "word": " true", "probability": 0.9892578125}, {"start": 799.94, "end": 805.92, "word": " انتبعين؟", "probability": 0.68426513671875}, {"start": 805.92, "end": 807.68, "word": " اكمل؟", "probability": 0.873779296875}], "temperature": 1.0}, {"id": 32, "seek": 83680, "start": 808.02, "end": 836.8, "text": "تمام نبدأ نحسب now هي المطلوب نبدأ نشتغل كالعادة إيش بدي أعمل أكتبها بدلالة الحالة اللي قبل K بنفع من التعريف إذا CK0 زائد CK-1 لو بدي أحط دليل يعني إيش أحطله by definition لو بدي أحطله دليل على الخطوة واحدة بقول yes by definition فإيش ممكن أقوله definition", "tokens": [2655, 15042, 2304, 8717, 44510, 10721, 8717, 5016, 35457, 586, 39896, 9673, 9566, 1211, 37746, 8717, 44510, 10721, 8717, 8592, 2655, 17082, 1211, 9122, 6027, 3615, 18513, 3660, 11933, 1829, 8592, 4724, 16254, 5551, 25957, 1211, 5551, 4117, 2655, 3555, 11296, 4724, 3215, 1211, 6027, 3660, 21542, 6027, 3660, 13672, 1829, 12174, 36150, 591, 44945, 5172, 3615, 9154, 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"word": " K", "probability": 0.2379150390625}, {"start": 820.18, "end": 820.78, "word": " بنفع", "probability": 0.8225911458333334}, {"start": 820.78, "end": 821.02, "word": " من", "probability": 0.9873046875}, {"start": 821.02, "end": 821.64, "word": " التعريف", "probability": 0.995361328125}, {"start": 821.64, "end": 822.1, "word": " إذا", "probability": 0.841064453125}, {"start": 822.1, "end": 824.76, "word": " CK0", "probability": 0.4296061197916667}, {"start": 824.76, "end": 825.58, "word": " زائد", "probability": 0.498046875}, {"start": 825.58, "end": 826.84, "word": " CK", "probability": 0.900634765625}, {"start": 826.84, "end": 828.2, "word": "-1", "probability": 0.644287109375}, {"start": 828.2, "end": 828.58, "word": " لو", "probability": 0.61083984375}, {"start": 828.58, "end": 828.78, "word": " بدي", "probability": 0.804443359375}, {"start": 828.78, "end": 829.04, "word": " أحط", "probability": 0.9397786458333334}, {"start": 829.04, "end": 829.34, "word": " دليل", 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"temperature": 1.0}, {"id": 56, "seek": 142633, "start": 1398.65, "end": 1426.33, "text": "فشوف إيش ال tricks بتتكرر معنا وهذا بيخلّينا عندنا خبرة الخبرات تتراكم ممتاز الآن وين الصعوبة؟ الصعوبة في فك هذه طب هذي بقدر استخدمها من وين؟ من ال induction hypothesis إذا هذي هروح أكتبها تساوي X زائد Y ضرب افتح ghost هذا بقدر أفكه ليش؟ أيه؟ بيساوي بال induction hypothesis CK0 X أس K زائد زائد CKK", "tokens": [5172, 8592, 38688, 11933, 1829, 8592, 2423, 11733, 39894, 2655, 37983, 2288, 20449, 8315, 37037, 15730, 4724, 1829, 9778, 1211, 11703, 1829, 8315, 43242, 8315, 16490, 3555, 25720, 33962, 26890, 9307, 6055, 2655, 23557, 24793, 3714, 2304, 2655, 31377, 6024, 48506, 4032, 9957, 31767, 3615, 37746, 3660, 22807, 31767, 3615, 37746, 3660, 8978, 6156, 4117, 29538, 23032, 3555, 8032, 8848, 1829, 4724, 28543, 2288, 44713, 9778, 40448, 11296, 9154, 4032, 9957, 22807, 9154, 2423, 33371, 17291, 11933, 15730, 8032, 8848, 1829, 8032, 32887, 5016, 5551, 4117, 2655, 3555, 11296, 6055, 3794, 995, 45865, 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0.9903564453125}, {"start": 1819.28, "end": 1819.92, "word": " الرئيسي،", "probability": 0.9402669270833334}, {"start": 1819.92, "end": 1820.08, "word": " مش", "probability": 0.9736328125}, {"start": 1820.08, "end": 1820.26, "word": " هو", "probability": 0.982421875}, {"start": 1820.26, "end": 1820.74, "word": " هدفنا", "probability": 0.9935302734375}, {"start": 1820.74, "end": 1821.3, "word": " الرئيسي", "probability": 0.99521484375}], "temperature": 1.0}, {"id": 74, "seek": 184045, "start": 1822.67, "end": 1840.45, "text": "فطبعا احنا هنعرف إيش هي المجموعة، إيش الـ subset والعمليات اللي هو الـ set operations التقاطع، الفرق، الاتحاد طبعا برضه هندرس fundamental rules governing these operations طبعا كل الخواص وكل القواعد كيف نتعامل مع هذه العملية", "tokens": [5172, 9566, 3555, 3615, 995, 1975, 5016, 8315, 8032, 1863, 3615, 28480, 11933, 1829, 8592, 39896, 9673, 7435, 2304, 2407, 27884, 12399, 11933, 1829, 8592, 2423, 39184, 25993, 16070, 25957, 20292, 9307, 13672, 1829, 31439, 2423, 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{"start": 1860.35, "end": 1861.07, "word": " مجموعة", "probability": 0.95478515625}, {"start": 1861.07, "end": 1861.45, "word": " الأعداد", "probability": 0.9659830729166666}, {"start": 1861.45, "end": 1862.11, "word": " الطبيعية", "probability": 0.991455078125}, {"start": 1862.11, "end": 1862.53, "word": " مجموعة", "probability": 0.9720703125}, {"start": 1862.53, "end": 1862.87, "word": " الأعداد", "probability": 0.951171875}, {"start": 1862.87, "end": 1863.51, "word": " الصحيحة", "probability": 0.98515625}], "temperature": 1.0}, {"id": 76, "seek": 188613, "start": 1863.89, "end": 1886.13, "text": "مجموعة طالبات الجامعة الإسلامية مجموعة طالبات خصم الرياضيات فما هو المقصود بمصطلح أو مفهوم مجموعة طبعا رغم أن المجموعات أداء أساسية ومفهوم أساسي في الرياضيات لكن ليس له تعريف جامع مانع", "tokens": [2304, 7435, 2304, 2407, 27884, 23032, 6027, 3555, 9307, 25724, 10943, 27884, 33688, 3794, 37440, 10632, 3714, 7435, 2304, 2407, 27884, 23032, 6027, 3555, 9307, 16490, 9381, 2304, 2423, 16572, 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"word": " بنأكد", "probability": 0.85986328125}, {"start": 2140.62, "end": 2140.98, "word": " انه", "probability": 0.65576171875}, {"start": 2140.98, "end": 2141.68, "word": " المفهوم", "probability": 0.7911376953125}, {"start": 2141.68, "end": 2142.02, "word": " المجموع", "probability": 0.950927734375}, {"start": 2142.02, "end": 2142.34, "word": " ليس", "probability": 0.837890625}, {"start": 2142.34, "end": 2142.62, "word": " له", "probability": 0.90771484375}, {"start": 2142.62, "end": 2143.54, "word": " تعريف", "probability": 0.9934895833333334}, {"start": 2143.54, "end": 2144.3, "word": " جامع", "probability": 0.9837239583333334}, {"start": 2144.3, "end": 2144.78, "word": " مانع", "probability": 0.931640625}, {"start": 2144.78, "end": 2145.36, "word": " لكن", "probability": 0.87646484375}, {"start": 2145.36, "end": 2145.84, "word": " المعيار", "probability": 0.9747314453125}, {"start": 2145.84, "end": 2146.48, "word": " الأساسي", "probability": 0.966064453125}, {"start": 2146.48, "end": 2147.18, "word": " اتداني", "probability": 0.77509765625}, {"start": 2147.18, "end": 2147.7, "word": " مجموعة", "probability": 0.891357421875}, {"start": 2147.7, "end": 2148.02, "word": " إذا", "probability": 0.73779296875}, {"start": 2148.02, "end": 2148.24, "word": " هذه", "probability": 0.404541015625}, {"start": 2148.24, "end": 2148.6, "word": " مجموعة", "probability": 0.9205078125}, {"start": 2148.6, "end": 2148.96, "word": " فعلا", "probability": 0.9039713541666666}, {"start": 2148.96, "end": 2149.52, "word": " مع", "probability": 0.86572265625}, {"start": 2149.52, "end": 2149.74, "word": " أي", "probability": 0.91357421875}, {"start": 2149.74, "end": 2150.16, "word": " عنصر", "probability": 0.9845377604166666}, {"start": 2150.16, "end": 2150.48, "word": " بقدر", "probability": 0.9755859375}, {"start": 2150.48, "end": 2150.76, "word": " أحدد", "probability": 0.8264973958333334}, {"start": 2150.76, "end": 2150.86, "word": " أن", "probability": 0.42626953125}, {"start": 2150.86, "end": 2151.08, "word": " عنصر", "probability": 0.7272135416666666}, {"start": 2151.08, "end": 2151.48, "word": " ينتمي", "probability": 0.966796875}, {"start": 2151.48, "end": 2151.74, "word": " أو", "probability": 0.86376953125}, {"start": 2151.74, "end": 2151.86, "word": " لا", "probability": 0.92431640625}, {"start": 2151.86, "end": 2152.46, "word": " ينتمي", "probability": 0.9749755859375}, {"start": 2152.46, "end": 2155.18, "word": " تمام", "probability": 0.6951904296875}, {"start": 2155.18, "end": 2155.54, "word": " في", "probability": 0.56591796875}, {"start": 2155.54, "end": 2156.2, "word": " تعاملنا", "probability": 0.960693359375}, {"start": 2156.2, "end": 2156.3, "word": " مع", "probability": 0.95556640625}, {"start": 2156.3, "end": 2156.88, "word": " المجموعات", "probability": 0.98544921875}, {"start": 2156.88, "end": 2157.34, "word": " بنحتاج", "probability": 0.85009765625}, {"start": 2157.34, "end": 2157.8, "word": " لمفهوم", "probability": 0.9337158203125}, {"start": 2157.8, "end": 2158.3, "word": " عنصر", "probability": 0.9938151041666666}], "temperature": 1.0}, {"id": 90, "seek": 218373, "start": 2159.64, "end": 2183.74, "text": "عنصر ينتمي للمجموعة أو an element of the set اللي هو ينتمي للمجموعة فهذا مفهوم مهم أساسي مهم جدا فبقول لي the objects in a given set are called elements or members سماهم عناصر او أعضاء كلمة عناصر هي الأشهر of the set فالعناصر اللي جوا المجموعة هم سماوها عناصر المجموعة elements of the set فهي دقيقة مصطلحة", "tokens": [3615, 1863, 9381, 2288, 7251, 29399, 2304, 1829, 5296, 19528, 7435, 2304, 45367, 3660, 34051, 364, 4478, 295, 264, 992, 13672, 1829, 31439, 7251, 29399, 2304, 1829, 5296, 19528, 7435, 2304, 45367, 3660, 6156, 3224, 15730, 3714, 5172, 3224, 20498, 3714, 16095, 5551, 3794, 32277, 1829, 3714, 16095, 10874, 28259, 6156, 3555, 39648, 32239, 264, 6565, 294, 257, 2212, 992, 366, 1219, 4959, 420, 2679, 8608, 15042, 16095, 18871, 33546, 2288, 1975, 2407, 5551, 3615, 11242, 16606, 9122, 19528, 3660, 18871, 33546, 2288, 39896, 16247, 8592, 3224, 2288, 295, 264, 992, 6156, 6027, 3615, 1863, 33546, 2288, 13672, 1829, 10874, 14407, 9673, 7435, 2304, 45367, 3660, 8032, 2304, 8608, 15042, 2407, 11296, 6225, 1863, 33546, 2288, 9673, 7435, 2304, 45367, 3660, 4959, 295, 264, 992, 6156, 3224, 1829, 11778, 38436, 28671, 3714, 9381, 9566, 1211, 5016, 3660], "avg_logprob": -0.18025361800539322, "compression_ratio": 1.875, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 2159.6400000000003, "end": 2160.3, "word": "عنصر", "probability": 0.955322265625}, {"start": 2160.3, "end": 2160.82, "word": " ينتمي", "probability": 0.974853515625}, {"start": 2160.82, "end": 2161.46, "word": " للمجموعة", "probability": 0.8737386067708334}, {"start": 2161.46, "end": 2161.68, "word": " أو", "probability": 0.5283203125}, {"start": 2161.68, "end": 2161.9, "word": " an", "probability": 0.73828125}, {"start": 2161.9, "end": 2162.28, "word": " element", "probability": 0.955078125}, {"start": 2162.28, "end": 2162.52, "word": " of", "probability": 0.982421875}, {"start": 2162.52, "end": 2162.72, "word": " the", "probability": 0.89697265625}, {"start": 2162.72, "end": 2162.88, "word": " set", "probability": 0.96826171875}, {"start": 2162.88, "end": 2163.22, "word": " اللي", "probability": 0.833251953125}, {"start": 2163.22, "end": 2163.34, "word": " هو", "probability": 0.953125}, {"start": 2163.34, "end": 2163.82, "word": " ينتمي", "probability": 0.9825439453125}, {"start": 2163.82, "end": 2164.46, "word": " للمجموعة", "probability": 0.9364420572916666}, {"start": 2164.46, "end": 2164.66, "word": " فهذا", "probability": 0.77880859375}, {"start": 2164.66, "end": 2164.92, "word": " مفهوم", "probability": 0.969970703125}, {"start": 2164.92, "end": 2165.18, "word": " مهم", "probability": 0.9091796875}, {"start": 2165.18, "end": 2165.58, "word": " أساسي", "probability": 0.927978515625}, {"start": 2165.58, "end": 2166.7, "word": " مهم", "probability": 0.7291259765625}, {"start": 2166.7, "end": 2166.94, "word": " جدا", "probability": 0.9775390625}, {"start": 2166.94, "end": 2167.62, "word": " فبقول", "probability": 0.7434895833333334}, {"start": 2167.62, "end": 2167.74, "word": " لي", "probability": 0.367919921875}, {"start": 2167.74, "end": 2167.84, "word": " the", "probability": 0.64013671875}, {"start": 2167.84, "end": 2168.38, "word": " objects", "probability": 0.93798828125}, {"start": 2168.38, "end": 2168.64, "word": " in", "probability": 0.9716796875}, {"start": 2168.64, "end": 2168.8, "word": " a", "probability": 0.990234375}, {"start": 2168.8, "end": 2169.04, "word": " given", "probability": 0.91015625}, {"start": 2169.04, "end": 2169.34, "word": " set", "probability": 0.95849609375}, {"start": 2169.34, "end": 2169.62, "word": " are", "probability": 0.96044921875}, {"start": 2169.62, "end": 2170.06, "word": " called", "probability": 0.921875}, {"start": 2170.06, "end": 2170.54, "word": " elements", "probability": 0.888671875}, {"start": 2170.54, "end": 2170.96, "word": " or", "probability": 0.93017578125}, {"start": 2170.96, "end": 2171.44, "word": " members", "probability": 0.802734375}, {"start": 2171.44, "end": 2172.02, "word": " سماهم", "probability": 0.6318359375}, {"start": 2172.02, "end": 2172.64, "word": " عناصر", "probability": 0.9654947916666666}, {"start": 2172.64, "end": 2173.72, "word": " او", "probability": 0.6572265625}, {"start": 2173.72, "end": 2174.28, "word": " أعضاء", "probability": 0.9072265625}, {"start": 2174.28, "end": 2174.98, "word": " كلمة", "probability": 0.8470052083333334}, {"start": 2174.98, "end": 2175.3, "word": " عناصر", "probability": 0.9921875}, {"start": 2175.3, "end": 2175.42, "word": " هي", "probability": 0.90625}, {"start": 2175.42, "end": 2176.44, "word": " الأشهر", "probability": 0.73858642578125}, {"start": 2176.44, "end": 2177.32, "word": " of", "probability": 0.826171875}, {"start": 2177.32, "end": 2177.54, "word": " the", "probability": 0.94091796875}, {"start": 2177.54, "end": 2177.76, "word": " set", "probability": 0.97216796875}, {"start": 2177.76, "end": 2178.62, "word": " فالعناصر", "probability": 0.9147135416666666}, {"start": 2178.62, "end": 2178.74, "word": " اللي", "probability": 0.74658203125}, {"start": 2178.74, "end": 2178.88, "word": " جوا", "probability": 0.598388671875}, {"start": 2178.88, "end": 2179.14, "word": " المجموعة", "probability": 0.937890625}, {"start": 2179.14, "end": 2179.22, "word": " هم", "probability": 0.5687255859375}, {"start": 2179.22, "end": 2179.44, "word": " سماوها", "probability": 0.8017578125}, {"start": 2179.44, "end": 2180.1, "word": " عناصر", "probability": 0.72491455078125}, {"start": 2180.1, "end": 2180.74, "word": " المجموعة", "probability": 0.90146484375}, {"start": 2180.74, "end": 2181.38, "word": " elements", "probability": 0.9091796875}, {"start": 2181.38, "end": 2181.94, "word": " of", "probability": 0.9853515625}, {"start": 2181.94, "end": 2182.16, "word": " the", "probability": 0.9384765625}, {"start": 2182.16, "end": 2182.36, "word": " set", "probability": 0.96923828125}, {"start": 2182.36, "end": 2182.9, "word": " فهي", "probability": 0.615234375}, {"start": 2182.9, "end": 2183.16, "word": " دقيقة", "probability": 0.747802734375}, {"start": 2183.16, "end": 2183.74, "word": " مصطلحة", "probability": 0.9823404947916666}], "temperature": 1.0}, {"id": 91, "seek": 219305, "start": 2184.37, "end": 2193.05, "text": "طيب في رموز كلكم متعرفين عليها لكن احنا بنحاول ايش؟ نستذكرها مع بعض، ايش معناه ينتمي؟ ايش هو ده العنصر؟ عنصر مجموعة يعني ينتمي إلى؟", "tokens": [9566, 1829, 3555, 8978, 12602, 2304, 2407, 11622, 28242, 24793, 44650, 3615, 28480, 9957, 25894, 11296, 44381, 1975, 5016, 8315, 44945, 5016, 995, 12610, 1975, 1829, 8592, 22807, 8717, 14851, 8848, 37983, 11296, 20449, 45030, 11242, 12399, 1975, 1829, 8592, 20449, 8315, 3224, 7251, 29399, 2304, 1829, 22807, 1975, 1829, 8592, 31439, 11778, 3224, 18863, 1863, 9381, 2288, 22807, 18871, 9381, 2288, 3714, 7435, 2304, 2407, 27884, 37495, 22653, 7251, 29399, 2304, 1829, 30731, 22807], "avg_logprob": -0.18914473292074704, "compression_ratio": 1.6081081081081081, "no_speech_prob": 0.0, "words": [{"start": 2184.37, "end": 2184.91, "word": "طيب", "probability": 0.9728190104166666}, {"start": 2184.91, "end": 2185.09, "word": " في", "probability": 0.7919921875}, {"start": 2185.09, "end": 2185.59, "word": " رموز", "probability": 0.94580078125}, {"start": 2185.59, "end": 2186.05, "word": " كلكم", "probability": 0.773681640625}, {"start": 2186.05, "end": 2186.45, "word": " متعرفين", "probability": 0.9136962890625}, {"start": 2186.45, "end": 2186.67, "word": " عليها", "probability": 0.985595703125}, {"start": 2186.67, "end": 2186.87, "word": " لكن", "probability": 0.796875}, {"start": 2186.87, "end": 2187.05, "word": " احنا", "probability": 0.8929036458333334}, {"start": 2187.05, "end": 2187.59, "word": " بنحاول", "probability": 0.945556640625}, {"start": 2187.59, "end": 2187.93, "word": " ايش؟", "probability": 0.6319580078125}, {"start": 2187.93, "end": 2188.75, "word": " نستذكرها", "probability": 0.9466796875}, {"start": 2188.75, "end": 2188.89, "word": " مع", "probability": 0.99560546875}, {"start": 2188.89, "end": 2189.15, "word": " بعض،", "probability": 0.8060709635416666}, {"start": 2189.15, "end": 2189.21, "word": " ايش", "probability": 0.8308919270833334}, {"start": 2189.21, "end": 2189.45, "word": " معناه", "probability": 0.7506510416666666}, {"start": 2189.45, "end": 2190.11, "word": " ينتمي؟", "probability": 0.90703125}, {"start": 2190.11, "end": 2190.29, "word": " ايش", "probability": 0.931640625}, {"start": 2190.29, "end": 2190.41, "word": " هو", "probability": 0.96484375}, {"start": 2190.41, "end": 2190.53, "word": " ده", "probability": 0.6751708984375}, {"start": 2190.53, "end": 2190.87, "word": " العنصر؟", "probability": 0.79609375}, {"start": 2190.87, "end": 2191.21, "word": " عنصر", "probability": 0.8252766927083334}, {"start": 2191.21, "end": 2191.69, "word": " مجموعة", "probability": 0.843701171875}, {"start": 2191.69, "end": 2191.99, "word": " يعني", "probability": 0.824951171875}, {"start": 2191.99, "end": 2192.71, "word": " ينتمي", "probability": 0.923095703125}, {"start": 2192.71, "end": 2193.05, "word": " إلى؟", "probability": 0.6826171875}], "temperature": 1.0}, {"id": 92, "seek": 222269, "start": 2193.66, "end": 2222.7, "text": "أه طبعا we shall use capital letters to denote sets طبعا زي ما هنحاكي هنا بنقيل أه كل الرموز صح لكن في رموز أنسب من رموز طبعا عشان في عندي مجموعة أو عناصر مناسب أنه أيش المجموعة تكون كبيرة لإنها تحتوي و الأنصر يكون صغير فإحنا بشكل عام طبعا هذا مافيش قاعدة ليش لأن كل الرموز صحيحة بالغالب العام هنستخدم ال capital letters الحروف الكبيرة الإنجليزية ليش للمجموعات و ال small للعناصر أه and small letters to denote أيش elements", "tokens": [10721, 3224, 23032, 3555, 3615, 995, 321, 4393, 764, 4238, 7825, 281, 45708, 6352, 23032, 3555, 3615, 995, 30767, 1829, 19446, 8032, 1863, 5016, 995, 4117, 1829, 34105, 44945, 4587, 26895, 5551, 3224, 28242, 34892, 2304, 2407, 11622, 20328, 5016, 44381, 8978, 12602, 2304, 2407, 11622, 14739, 35457, 9154, 12602, 2304, 2407, 11622, 23032, 3555, 3615, 995, 6225, 8592, 7649, 8978, 18871, 16254, 3714, 7435, 2304, 2407, 27884, 34051, 18871, 33546, 2288, 3714, 8315, 35457, 14739, 3224, 36632, 8592, 9673, 7435, 2304, 45367, 3660, 6055, 30544, 9122, 3555, 48923, 5296, 28814, 1863, 11296, 6055, 33753, 45865, 4032, 16247, 1863, 9381, 2288, 7251, 30544, 20328, 17082, 13546, 6156, 28814, 5016, 8315, 4724, 8592, 28820, 6225, 10943, 23032, 3555, 3615, 995, 23758, 19446, 41185, 8592, 12174, 995, 22488, 3660, 32239, 8592, 5296, 33456, 28242, 34892, 2304, 2407, 11622, 20328, 5016, 1829, 5016, 3660, 20666, 17082, 6027, 3555, 18863, 10943, 8032, 1863, 14851, 9778, 40448, 2423, 4238, 7825, 21542, 32887, 5172, 33251, 3555, 48923, 33688, 1863, 7435, 20292, 11622, 10632, 32239, 8592, 5296, 19528, 7435, 2304, 45367, 9307, 4032, 2423, 1359, 24976, 3615, 1863, 33546, 2288, 5551, 3224, 293, 1359, 7825, 281, 45708, 36632, 8592, 4959], "avg_logprob": -0.18556701676132753, "compression_ratio": 2.0512048192771086, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 2193.66, "end": 2193.96, "word": "أه", "probability": 0.52728271484375}, {"start": 2193.96, "end": 2194.24, "word": " طبعا", "probability": 0.9603271484375}, {"start": 2194.24, "end": 2194.38, "word": " we", "probability": 0.3876953125}, {"start": 2194.38, "end": 2194.64, "word": " shall", "probability": 0.947265625}, {"start": 2194.64, "end": 2194.9, "word": " use", "probability": 0.8759765625}, {"start": 2194.9, "end": 2195.26, "word": " capital", "probability": 0.8662109375}, {"start": 2195.26, "end": 2195.62, "word": " letters", "probability": 0.8525390625}, {"start": 2195.62, "end": 2195.8, "word": " to", "probability": 0.837890625}, {"start": 2195.8, "end": 2196.06, "word": " denote", "probability": 0.97900390625}, {"start": 2196.06, "end": 2196.44, "word": " sets", "probability": 0.77685546875}, {"start": 2196.44, "end": 2196.8, "word": " 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"probability": 0.966796875}, {"start": 2200.36, "end": 2200.76, "word": " أنسب", "probability": 0.9677734375}, {"start": 2200.76, "end": 2200.9, "word": " من", "probability": 0.98291015625}, {"start": 2200.9, "end": 2201.24, "word": " رموز", "probability": 0.885986328125}, {"start": 2201.24, "end": 2201.72, "word": " طبعا", "probability": 0.986083984375}, {"start": 2201.72, "end": 2201.94, "word": " عشان", "probability": 0.98193359375}, {"start": 2201.94, "end": 2202.08, "word": " في", "probability": 0.76171875}, {"start": 2202.08, "end": 2202.36, "word": " عندي", "probability": 0.82177734375}, {"start": 2202.36, "end": 2203.16, "word": " مجموعة", "probability": 0.93623046875}, {"start": 2203.16, "end": 2203.26, "word": " أو", "probability": 0.4853515625}, {"start": 2203.26, "end": 2203.76, "word": " عناصر", "probability": 0.9895833333333334}, {"start": 2203.76, "end": 2204.42, "word": " مناسب", "probability": 0.9127604166666666}, {"start": 2204.42, "end": 2204.64, "word": " أنه", 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2217.86, "end": 2218.22, "word": " small", "probability": 0.8974609375}, {"start": 2218.22, "end": 2219.1, "word": " للعناصر", "probability": 0.90634765625}, {"start": 2219.1, "end": 2219.78, "word": " أه", "probability": 0.78466796875}, {"start": 2219.78, "end": 2220.3, "word": " and", "probability": 0.82421875}, {"start": 2220.3, "end": 2220.62, "word": " small", "probability": 0.9404296875}, {"start": 2220.62, "end": 2220.9, "word": " letters", "probability": 0.86962890625}, {"start": 2220.9, "end": 2221.16, "word": " to", "probability": 0.9794921875}, {"start": 2221.16, "end": 2221.8, "word": " denote", "probability": 0.97119140625}, {"start": 2221.8, "end": 2222.28, "word": " أيش", "probability": 0.9033203125}, {"start": 2222.28, "end": 2222.7, "word": " elements", "probability": 0.880859375}], "temperature": 1.0}, {"id": 93, "seek": 224078, "start": 2223.6, "end": 2240.78, "text": "تمام النقطة التانية if a أو small a is an element of a set capital A then we write a تنتمي لل a small a تنتمي لل capital A هذا الرمز اللي هو إيش زي ال epsilon أو e صغيرة E بالإنقليزية طبعا كيف نقرأها E is an element", "tokens": [39237, 10943, 28239, 47432, 3660, 16712, 7649, 10632, 498, 257, 34051, 1359, 257, 307, 364, 4478, 295, 257, 992, 4238, 316, 550, 321, 2464, 257, 6055, 29399, 2304, 1829, 24976, 257, 1359, 257, 6055, 29399, 2304, 1829, 24976, 4238, 316, 23758, 34892, 2304, 11622, 13672, 1829, 31439, 11933, 1829, 8592, 30767, 1829, 2423, 17889, 34051, 308, 20328, 17082, 48923, 462, 20666, 28814, 1863, 4587, 20292, 11622, 10632, 23032, 3555, 3615, 995, 9122, 33911, 8717, 4587, 2288, 10721, 11296, 462, 307, 364, 4478], "avg_logprob": -0.24924698579742247, "compression_ratio": 1.530612244897959, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 2223.6, "end": 2224.1, "word": "تمام", "probability": 0.79052734375}, {"start": 2224.1, "end": 2224.62, "word": " النقطة", "probability": 0.9620768229166666}, {"start": 2224.62, "end": 2225.06, "word": " التانية", 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an element نفس المعنى فهذا الرمز المتعارف عليه بس هنا استرجاع سريع أنا ماشي بسرعة لإن اتوقع ان كلكم عارفينه بس هذا مراجعة سريعة لإن بس نتفق على بعض الأمور تكون واضحة للجميع ونتأكد عليها", "tokens": [609, 295, 316, 420, 316, 12953, 281, 4238, 316, 6156, 3224, 1829, 25062, 23557, 27884, 6055, 29399, 2304, 1829, 13672, 1829, 39896, 12953, 20666, 1211, 17082, 3660, 33688, 1863, 7435, 20292, 11622, 10632, 34051, 307, 364, 4478, 8717, 36178, 9673, 3615, 1863, 7578, 6156, 3224, 15730, 34892, 2304, 11622, 9673, 2655, 3615, 9640, 5172, 47356, 4724, 3794, 34105, 44713, 47341, 45761, 8608, 16572, 3615, 41850, 3714, 33599, 1829, 4724, 3794, 2288, 27884, 5296, 28814, 1863, 1975, 2655, 30543, 3615, 16472, 28242, 24793, 6225, 9640, 5172, 9957, 3224, 4724, 3794, 23758, 3714, 2288, 26108, 27884, 8608, 16572, 27884, 5296, 28814, 1863, 4724, 3794, 8717, 2655, 5172, 4587, 15844, 45030, 11242, 16247, 2304, 13063, 6055, 30544, 4032, 46958, 5016, 3660, 24976, 7435, 2304, 40228, 4032, 29399, 10721, 4117, 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{"id": 98, "seek": 236138, "start": 2344.88, "end": 2361.38, "text": "فبقول a set is called a finite set if it contains only finitely many عدد محدود finitely many elements otherwise عكس ذلك بنقول عنها infinite فاشنا في finite infinite النجاش نتبعها على طول على سبيل المثال", "tokens": [5172, 3555, 39648, 257, 992, 307, 1219, 257, 19362, 992, 498, 309, 8306, 787, 19362, 356, 867, 6225, 3215, 3215, 3714, 24401, 23328, 19362, 356, 867, 4959, 5911, 6225, 4117, 3794, 29910, 23275, 4724, 1863, 39648, 18871, 11296, 13785, 6156, 33599, 8315, 8978, 19362, 13785, 28239, 7435, 33599, 8717, 2655, 3555, 3615, 11296, 15844, 23032, 12610, 15844, 8608, 21292, 1211, 9673, 12984, 6027], "avg_logprob": -0.24755858816206455, "compression_ratio": 1.5141242937853108, "no_speech_prob": 0.0, "words": [{"start": 2344.88, "end": 2345.2, "word": "فبقول", "probability": 0.751953125}, {"start": 2345.2, "end": 2345.36, "word": " a", "probability": 0.138427734375}, {"start": 2345.36, "end": 2345.58, "word": " set", 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101, "seek": 242604, "start": 2404.82, "end": 2426.04, "text": "فطبعا في طريقتين يمكن أساسيتين طريقة ال third أني أعملها صورة إيش اللي هو قائمة list بقول هي العناصر طبعا ال list هذه ممكن تكون منتهية a,b,c خلصنا طبعا بستخدم الأقواص هدول المحددين مش أي أقواص بيسموهم هدول باللغة الإنجليزية braces في brackets مختلفة الأقواص", "tokens": [5172, 9566, 3555, 3615, 995, 8978, 23032, 16572, 38149, 9957, 7251, 43020, 5551, 3794, 32277, 36081, 9957, 23032, 16572, 28671, 2423, 2636, 14739, 1829, 5551, 25957, 1211, 11296, 20328, 13063, 3660, 11933, 1829, 8592, 13672, 1829, 31439, 12174, 16373, 46007, 1329, 4724, 39648, 39896, 18863, 1863, 33546, 2288, 23032, 3555, 3615, 995, 2423, 1329, 29538, 3714, 43020, 6055, 30544, 9154, 47395, 10632, 257, 11, 65, 11, 66, 16490, 1211, 9381, 8315, 23032, 3555, 3615, 995, 4724, 14851, 9778, 40448, 16247, 4587, 2407, 33546, 8032, 3215, 12610, 9673, 24401, 3215, 9957, 37893, 36632, 5551, 4587, 2407, 33546, 4724, 1829, 38251, 2407, 16095, 8032, 3215, 12610, 20666, 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