diff --git "a/PL9fwy3NUQKwZ_fogpdAdMdObPzyKLyONA/PBRa0MHjhZs_raw.json" "b/PL9fwy3NUQKwZ_fogpdAdMdObPzyKLyONA/PBRa0MHjhZs_raw.json" new file mode 100644--- /dev/null +++ "b/PL9fwy3NUQKwZ_fogpdAdMdObPzyKLyONA/PBRa0MHjhZs_raw.json" @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 3761, "start": 19.67, "end": 37.61, "text": "بسم الله الرحمن الرحيم ان شاء الله نواصل احنا بدأنا بداية مختصرة اللي هو الـdenominable and non-denominable sets وبشكل خاص بدأنا من ال infinite set المجموعة غير المنتهية او اللانهائية فانهيت بس اللي هو التعريف لانه مهم جدا", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 16472, 13412, 16606, 21984, 8717, 2407, 33546, 1211, 1975, 5016, 8315, 47525, 10721, 8315, 4724, 28259, 10632, 3714, 46456, 9381, 25720, 13672, 1829, 31439, 2423, 39184, 1556, 6981, 712, 293, 2107, 12, 1556, 6981, 712, 6352, 46599, 8592, 28820, 16490, 33546, 47525, 10721, 8315, 9154, 2423, 13785, 992, 9673, 7435, 2304, 2407, 27884, 32771, 13546, 9673, 29399, 3224, 10632, 1975, 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وقت إيش بنتهي البرهان لما أوصل لcontradiction تمام ايش معناه الـ finite التعريف فده معناته there exists F", "tokens": [5172, 47302, 307, 13785, 1975, 1829, 8592, 44945, 25957, 1211, 10826, 538, 34937, 16490, 1211, 9957, 1829, 4724, 3794, 1975, 4117, 2655, 3555, 6055, 33753, 6225, 8592, 7649, 1975, 5016, 31845, 19913, 15844, 9673, 3794, 39319, 3660, 10826, 538, 34937, 37495, 22653, 4032, 38149, 11933, 1829, 8592, 4724, 29399, 3224, 1829, 2423, 26890, 3224, 7649, 5296, 15042, 34051, 36520, 5296, 9000, 6206, 4105, 46811, 10943, 1975, 1829, 8592, 20449, 8315, 3224, 2423, 39184, 19362, 16712, 3615, 16572, 5172, 6156, 3215, 3224, 20449, 8315, 47395, 456, 8198, 479], "avg_logprob": -0.2745028402317654, "compression_ratio": 1.5754716981132075, "no_speech_prob": 0.0, "words": [{"start": 188.12, "end": 188.74, "word": "فاي", "probability": 0.3846435546875}, {"start": 188.74, "end": 189.46, "word": " is", "probability": 0.271728515625}, {"start": 189.46, "end": 190.64, "word": " infinite", 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إن صورة الـ Phi تساوي Phi أثبتنا من نظريات سابقة، طبعا ايش دليل هنا؟ Definition of infinite set", "tokens": [37, 295, 41435, 11933, 26890, 16758, 2288, 9154, 3714, 9957, 22807, 9154, 2423, 39184, 41435, 6156, 39319, 8315, 44945, 9566, 3555, 4587, 16712, 3615, 16572, 5172, 15844, 1783, 39894, 3794, 995, 45865, 41435, 46811, 10943, 22807, 5551, 3224, 12399, 47525, 10721, 34051, 36520, 5296, 34937, 21542, 38436, 28671, 9154, 8717, 19913, 16572, 9307, 8608, 16758, 28671, 5551, 12984, 3555, 2655, 8315, 36145, 20328, 13063, 3660, 2423, 39184, 41435, 6055, 3794, 995, 45865, 41435, 5551, 12984, 3555, 2655, 8315, 9154, 8717, 19913, 16572, 9307, 8608, 16758, 28671, 12399, 23032, 3555, 3615, 995, 1975, 1829, 8592, 11778, 20292, 1211, 34105, 22807, 46245, 849, 295, 13785, 992], "avg_logprob": -0.2068452449071975, "compression_ratio": 1.6757990867579908, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 227.54, "end": 228.04, "word": "F", "probability": 0.35791015625}, {"start": 228.04, 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498.96, "end": 499.32, "word": " بياش", "probability": 0.64306640625}, {"start": 499.32, "end": 499.62, "word": " بال", "probability": 0.89794921875}, {"start": 499.62, "end": 500.02, "word": " diverge", "probability": 0.6214599609375}, {"start": 500.02, "end": 500.1, "word": " و", "probability": 0.96142578125}, {"start": 500.1, "end": 500.18, "word": " ال", "probability": 0.78369140625}, {"start": 500.18, "end": 500.68, "word": " converge", "probability": 0.9560546875}, {"start": 500.68, "end": 501.24, "word": " قلنا", "probability": 0.8113606770833334}, {"start": 501.24, "end": 501.36, "word": " إذا", "probability": 0.8310546875}, {"start": 501.36, "end": 501.72, "word": " الكبيرة", "probability": 0.92919921875}, {"start": 501.72, "end": 502.44, "word": " converge", "probability": 0.97802734375}, {"start": 502.44, "end": 502.74, "word": " يعني", "probability": 0.981689453125}, {"start": 502.74, "end": 503.26, "word": " finite", "probability": 0.99169921875}, {"start": 503.26, "end": 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هذه أهم من نتائج المهمة جدا اللي هنعتمد عليها لأن النظرية every super set of an infinite set كيف بدنا نعبر عنها هذا بتقول لو أنت عندك مجموعة X infinite أي مجموعة تحتويها بدت تكون infinite هي المطلوب فهي نعبر أولش ناخد infinite set ال proof فنقول له let X be an infinite set", "tokens": [9778, 2304, 3794, 3660, 36764, 24401, 5551, 12610, 8717, 19913, 2288, 10632, 37495, 22653, 29538, 5551, 16095, 9154, 8717, 2655, 16373, 7435, 9673, 16095, 3660, 10874, 28259, 13672, 1829, 8032, 1863, 34268, 2304, 3215, 25894, 11296, 5296, 33456, 28239, 19913, 2288, 10632, 633, 1687, 992, 295, 364, 13785, 992, 9122, 33911, 47525, 8315, 8717, 3615, 3555, 2288, 18871, 11296, 23758, 39894, 39648, 45164, 14739, 2655, 43242, 4117, 3714, 7435, 2304, 2407, 27884, 1783, 13785, 36632, 3714, 7435, 2304, 2407, 27884, 6055, 33753, 45865, 11296, 47525, 2655, 6055, 30544, 13785, 39896, 9673, 9566, 1211, 37746, 6156, 3224, 1829, 8717, 3615, 3555, 2288, 5551, 12610, 8592, 8717, 47283, 3215, 13785, 992, 2423, 8177, 6156, 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"end": 2019.67, "word": " فرع", "probability": 0.6917317708333334}, {"start": 2019.67, "end": 2019.95, "word": " بيه", "probability": 0.643798828125}, {"start": 2019.95, "end": 2020.31, "word": " السهل", "probability": 0.7837727864583334}, {"start": 2020.31, "end": 2020.65, "word": " فرع", "probability": 0.8818359375}, {"start": 2020.65, "end": 2021.97, "word": " بيه", "probability": 0.986328125}, {"start": 2021.97, "end": 2024.15, "word": " هذا", "probability": 0.44287109375}, {"start": 2024.15, "end": 2024.55, "word": " كله", "probability": 0.98193359375}, {"start": 2024.55, "end": 2024.83, "word": " ايه", "probability": 0.7970377604166666}, {"start": 2024.83, "end": 2025.23, "word": " طبع", "probability": 0.778564453125}, {"start": 2025.23, "end": 2026.57, "word": " نظرية", "probability": 0.9405517578125}, {"start": 2026.57, "end": 2030.21, "word": " الأولى", "probability": 0.77880859375}, {"start": 2030.21, "end": 2030.63, "word": " بعدين", "probability": 0.635009765625}, {"start": 2030.63, "end": 2031.07, "word": " بنعلق", "probability": 0.7770182291666666}, {"start": 2031.07, "end": 2031.17, "word": " على", "probability": 0.6767578125}, {"start": 2031.17, "end": 2031.49, "word": " امتحان", "probability": 0.8978515625}, {"start": 2031.49, "end": 2031.61, "word": " اخر", "probability": 0.59063720703125}, {"start": 2031.61, "end": 2031.87, "word": " خلينا", "probability": 0.8107096354166666}, {"start": 2031.87, "end": 2032.23, "word": " نكمل", "probability": 0.9866536458333334}, {"start": 2032.23, "end": 2032.65, "word": " نرجع", "probability": 0.77978515625}, {"start": 2032.65, "end": 2033.07, "word": " الامتحان", "probability": 0.858447265625}], "temperature": 1.0}, {"id": 85, "seek": 206313, "start": 2034.23, "end": 2063.13, "text": "كل مجزّي من الـ finite set هو finite خلّيني أولا أحط الجملة لأن البرهان هي تعمل على السابق بسهولة لأنه عملية negation و هنعملها بشكل مباشر فخلّيني أشوف هنا البرهان بشكل مشابه let X be a finite set إيش المطلوب؟ we have to prove that", "tokens": [28820, 3714, 7435, 11622, 11703, 1829, 9154, 2423, 39184, 19362, 992, 31439, 19362, 16490, 1211, 11703, 9957, 1829, 5551, 12610, 995, 5551, 5016, 9566, 25724, 2304, 37977, 5296, 33456, 2423, 26890, 3224, 7649, 39896, 6055, 25957, 1211, 15844, 21136, 16758, 4587, 4724, 3794, 3224, 12610, 3660, 5296, 33456, 3224, 6225, 42213, 10632, 2485, 399, 4032, 8032, 1863, 25957, 1211, 11296, 4724, 8592, 28820, 3714, 3555, 33599, 2288, 6156, 9778, 1211, 11703, 9957, 1829, 5551, 8592, 38688, 34105, 2423, 26890, 3224, 7649, 4724, 8592, 28820, 37893, 16758, 3224, 718, 1783, 312, 257, 19362, 992, 11933, 1829, 8592, 9673, 9566, 1211, 37746, 22807, 321, 362, 281, 7081, 300], "avg_logprob": -0.31249999220126146, "compression_ratio": 1.6529680365296804, "no_speech_prob": 0.0, "words": [{"start": 2034.23, "end": 2034.69, "word": "كل", "probability": 0.470947265625}, {"start": 2034.69, "end": 2035.37, "word": " مجزّي", "probability": 0.38681640625}, {"start": 2035.37, "end": 2035.45, "word": " من", "probability": 0.884765625}, {"start": 2035.45, "end": 2035.57, "word": " الـ", "probability": 0.458892822265625}, {"start": 2035.57, "end": 2036.03, "word": " finite", "probability": 0.260498046875}, {"start": 2036.03, "end": 2036.39, "word": " set", "probability": 0.4228515625}, {"start": 2036.39, "end": 2036.63, "word": " هو", "probability": 0.55712890625}, {"start": 2036.63, "end": 2036.97, "word": " finite", "probability": 0.978515625}, {"start": 2036.97, "end": 2037.43, "word": " خلّيني", "probability": 0.78818359375}, {"start": 2037.43, "end": 2037.59, "word": " أولا", "probability": 0.8141276041666666}, {"start": 2037.59, "end": 2037.95, "word": " أحط", "probability": 0.5401204427083334}, {"start": 2037.95, "end": 2038.45, "word": " الجملة", "probability": 0.9518229166666666}, {"start": 2038.45, "end": 2038.91, "word": " لأن", "probability": 0.6990966796875}, {"start": 2038.91, "end": 2039.23, "word": " البرهان", "probability": 0.81085205078125}, {"start": 2039.23, "end": 2039.49, "word": " هي", "probability": 0.2496337890625}, {"start": 2039.49, "end": 2040.41, "word": " تعمل", "probability": 0.6005045572916666}, {"start": 2040.41, "end": 2040.61, "word": " على", "probability": 0.8818359375}, {"start": 2040.61, "end": 2041.19, "word": " السابق", "probability": 0.8763020833333334}, {"start": 2041.19, "end": 2041.81, "word": " بسهولة", "probability": 0.96767578125}, {"start": 2041.81, "end": 2042.23, "word": " لأنه", "probability": 0.6942545572916666}, {"start": 2042.23, "end": 2042.45, "word": " عملية", "probability": 0.9786783854166666}, {"start": 2042.45, "end": 2043.27, "word": " negation", "probability": 0.57476806640625}, {"start": 2043.27, "end": 2043.37, "word": " و", "probability": 0.69921875}, {"start": 2043.37, "end": 2043.93, "word": " هنعملها", "probability": 0.866796875}, {"start": 2043.93, "end": 2045.17, "word": " بشكل", "probability": 0.8723958333333334}, {"start": 2045.17, "end": 2045.73, "word": " مباشر", "probability": 0.9852294921875}, {"start": 2045.73, "end": 2046.51, "word": " فخلّيني", "probability": 0.9373372395833334}, {"start": 2046.51, "end": 2046.85, "word": " أشوف", "probability": 0.8055013020833334}, {"start": 2046.85, "end": 2047.11, "word": " هنا", "probability": 0.65087890625}, {"start": 2047.11, "end": 2047.77, "word": " البرهان", "probability": 0.9617919921875}, {"start": 2047.77, "end": 2048.11, "word": " بشكل", "probability": 0.9850260416666666}, {"start": 2048.11, "end": 2049.13, "word": " مشابه", "probability": 0.9850260416666666}, {"start": 2049.13, "end": 2049.79, "word": " let", "probability": 0.1591796875}, {"start": 2049.79, "end": 2050.27, "word": " X", "probability": 0.703125}, {"start": 2050.27, "end": 2050.73, "word": " be", "probability": 0.71923828125}, {"start": 2050.73, "end": 2052.11, "word": " a", "probability": 0.9677734375}, {"start": 2052.11, "end": 2052.85, "word": " finite", "probability": 0.98095703125}, {"start": 2052.85, "end": 2054.09, "word": " set", "probability": 0.966796875}, {"start": 2054.09, "end": 2055.03, "word": " إيش", "probability": 0.7421875}, {"start": 2055.03, "end": 2058.15, "word": " المطلوب؟", "probability": 0.9251953125}, {"start": 2058.15, "end": 2058.33, "word": " we", "probability": 0.38330078125}, {"start": 2058.33, "end": 2060.09, "word": " have", "probability": 0.9599609375}, {"start": 2060.09, "end": 2061.17, "word": " to", "probability": 0.9716796875}, {"start": 2061.17, "end": 2061.69, "word": " prove", "probability": 0.94873046875}, {"start": 2061.69, "end": 2063.13, "word": " that", "probability": 0.95751953125}], "temperature": 1.0}, {"id": 86, "seek": 209366, "start": 2064.0, "end": 2093.66, "text": "نفس العملية الماضية بس اختلاف انه بدل super set subset for all y such that y subset من ال X ال Y is finite ال Y is finite فطبعا كالعادة بدنا نبداش let Y", "tokens": [1863, 36178, 18863, 42213, 10632, 9673, 46958, 10632, 4724, 3794, 1975, 46456, 15040, 5172, 16472, 3224, 47525, 1211, 1687, 992, 25993, 337, 439, 288, 1270, 300, 288, 25993, 9154, 2423, 1783, 2423, 398, 307, 19362, 2423, 398, 307, 19362, 6156, 9566, 3555, 3615, 995, 9122, 6027, 3615, 18513, 3660, 47525, 8315, 8717, 44510, 33599, 718, 398], "avg_logprob": -0.17228618211913527, "compression_ratio": 1.452054794520548, "no_speech_prob": 0.0, "words": [{"start": 2064.0, "end": 2064.52, "word": "نفس", "probability": 0.90576171875}, {"start": 2064.52, "end": 2065.0, "word": " العملية", "probability": 0.955078125}, {"start": 2065.0, "end": 2065.46, "word": " الماضية", "probability": 0.98583984375}, {"start": 2065.46, "end": 2065.68, "word": " بس", "probability": 0.93115234375}, {"start": 2065.68, "end": 2066.24, "word": " اختلاف", "probability": 0.83184814453125}, {"start": 2066.24, "end": 2066.76, "word": " انه", "probability": 0.83203125}, {"start": 2066.76, "end": 2067.08, "word": " بدل", "probability": 0.81982421875}, {"start": 2067.08, "end": 2068.64, "word": " super", "probability": 0.257568359375}, {"start": 2068.64, "end": 2069.0, "word": " set", "probability": 0.85595703125}, {"start": 2069.0, "end": 2069.34, "word": " subset", "probability": 0.498291015625}, {"start": 2069.34, "end": 2070.32, "word": " for", "probability": 0.853515625}, {"start": 2070.32, "end": 2070.96, "word": " all", "probability": 0.9267578125}, {"start": 2070.96, "end": 2071.62, "word": " y", "probability": 0.7265625}, {"start": 2071.62, "end": 2072.58, "word": " such", "probability": 0.9443359375}, {"start": 2072.58, "end": 2073.06, "word": " that", "probability": 0.955078125}, {"start": 2073.06, "end": 2073.44, "word": " y", "probability": 0.8828125}, {"start": 2073.44, "end": 2073.9, "word": " subset", "probability": 0.86669921875}, {"start": 2073.9, "end": 2074.18, "word": " من", "probability": 0.986328125}, {"start": 2074.18, "end": 2074.36, "word": " ال", "probability": 0.80517578125}, {"start": 2074.36, "end": 2074.64, "word": " X", "probability": 0.497802734375}, {"start": 2074.64, "end": 2075.68, "word": " ال", "probability": 0.79638671875}, {"start": 2075.68, "end": 2076.14, "word": " Y", "probability": 0.66845703125}, {"start": 2076.14, "end": 2076.64, "word": " is", "probability": 0.888671875}, {"start": 2076.64, "end": 2078.96, "word": " finite", "probability": 0.9609375}, {"start": 2078.96, "end": 2088.24, "word": " ال", "probability": 0.8896484375}, {"start": 2088.24, "end": 2088.58, "word": " Y", "probability": 0.9375}, {"start": 2088.58, "end": 2088.8, "word": " is", "probability": 0.91162109375}, {"start": 2088.8, "end": 2089.14, "word": " finite", "probability": 0.9873046875}, {"start": 2089.14, "end": 2089.66, "word": " فطبعا", "probability": 0.98349609375}, {"start": 2089.66, "end": 2090.32, "word": " كالعادة", "probability": 0.97275390625}, {"start": 2090.32, "end": 2090.56, "word": " بدنا", "probability": 0.7119140625}, {"start": 2090.56, "end": 2091.06, "word": " نبداش", "probability": 0.76806640625}, {"start": 2091.06, "end": 2092.14, "word": " let", "probability": 0.806640625}, {"start": 2092.14, "end": 2093.66, "word": " Y", "probability": 0.8359375}], "temperature": 1.0}, {"id": 87, "seek": 212114, "start": 2094.24, "end": 2121.14, "text": "be a set such that طبعا عشان for all ال Y subset من ال X بدنا يثبت ان ال Y finite طبعا زي حتى اللي مر علينا كل ال finite اللي عملناها by contradiction assume Y is infinite افترض ان ال Y infinite بدنا يفرض ان هذا المستحيل", "tokens": [650, 257, 992, 1270, 300, 23032, 3555, 3615, 995, 6225, 8592, 7649, 337, 439, 2423, 398, 25993, 9154, 2423, 1783, 47525, 8315, 7251, 12984, 3555, 2655, 16472, 2423, 398, 19362, 23032, 3555, 3615, 995, 30767, 1829, 11331, 49975, 13672, 1829, 3714, 2288, 25894, 8315, 28242, 2423, 19362, 13672, 1829, 6225, 42213, 8315, 11296, 538, 34937, 6552, 398, 307, 13785, 1975, 5172, 2655, 43042, 16472, 2423, 398, 13785, 47525, 8315, 7251, 5172, 43042, 16472, 23758, 9673, 14851, 5016, 26895], "avg_logprob": -0.31250000528142424, "compression_ratio": 1.6368421052631579, "no_speech_prob": 0.0, "words": [{"start": 2094.24, "end": 2094.68, "word": "be", "probability": 0.123291015625}, {"start": 2094.68, "end": 2096.0, "word": " a", "probability": 0.9130859375}, {"start": 2096.0, "end": 2096.38, "word": " set", "probability": 0.966796875}, {"start": 2096.38, "end": 2097.28, "word": " such", "probability": 0.908203125}, {"start": 2097.28, "end": 2097.82, "word": " that", "probability": 0.95458984375}, {"start": 2097.82, "end": 2098.42, "word": " طبعا", "probability": 0.77178955078125}, {"start": 2098.42, "end": 2098.64, "word": " عشان", "probability": 0.8486328125}, {"start": 2098.64, "end": 2098.86, "word": " for", "probability": 0.77392578125}, {"start": 2098.86, "end": 2099.2, "word": " all", "probability": 0.9248046875}, {"start": 2099.2, "end": 2099.86, "word": " ال", "probability": 0.8642578125}, {"start": 2099.86, "end": 2100.24, "word": " Y", "probability": 0.51123046875}, {"start": 2100.24, "end": 2101.18, "word": " subset", "probability": 0.62939453125}, {"start": 2101.18, "end": 2101.48, "word": " من", "probability": 0.9931640625}, {"start": 2101.48, "end": 2101.62, "word": " ال", "probability": 0.4638671875}, {"start": 2101.62, "end": 2101.8, "word": " X", "probability": 0.97509765625}, {"start": 2101.8, "end": 2102.28, "word": " بدنا", "probability": 0.5748291015625}, {"start": 2102.28, "end": 2102.54, "word": " يثبت", "probability": 0.881591796875}, {"start": 2102.54, "end": 2102.62, "word": " ان", "probability": 0.429931640625}, {"start": 2102.62, "end": 2102.74, "word": " ال", "probability": 0.828125}, {"start": 2102.74, "end": 2102.84, "word": " Y", "probability": 0.98291015625}, {"start": 2102.84, "end": 2103.2, "word": " finite", "probability": 0.56884765625}, {"start": 2103.2, "end": 2104.54, "word": " طبعا", "probability": 0.82470703125}, {"start": 2104.54, "end": 2104.72, "word": " زي", "probability": 0.83740234375}, {"start": 2104.72, "end": 2105.54, "word": " حتى", "probability": 0.75537109375}, {"start": 2105.54, "end": 2105.68, "word": " اللي", "probability": 0.615966796875}, {"start": 2105.68, "end": 2105.96, "word": " مر", "probability": 0.3746337890625}, {"start": 2105.96, "end": 2106.34, "word": " علينا", "probability": 0.975341796875}, {"start": 2106.34, "end": 2106.58, "word": " كل", "probability": 0.62939453125}, {"start": 2106.58, "end": 2106.72, "word": " ال", "probability": 0.93017578125}, {"start": 2106.72, "end": 2106.98, "word": " finite", "probability": 0.7421875}, {"start": 2106.98, "end": 2107.12, "word": " اللي", "probability": 0.978515625}, {"start": 2107.12, "end": 2107.42, "word": " عملناها", "probability": 0.8731689453125}, {"start": 2107.42, "end": 2107.54, "word": " by", "probability": 0.72607421875}, {"start": 2107.54, "end": 2108.1, "word": " contradiction", "probability": 0.9541015625}, {"start": 2108.1, "end": 2109.56, "word": " assume", "probability": 0.47216796875}, {"start": 2109.56, "end": 2113.06, "word": " Y", "probability": 0.90625}, {"start": 2113.06, "end": 2113.6, "word": " is", "probability": 0.94921875}, {"start": 2113.6, "end": 2115.38, "word": " infinite", "probability": 0.916015625}, {"start": 2115.38, "end": 2118.66, "word": " افترض", "probability": 0.906982421875}, {"start": 2118.66, "end": 2118.8, "word": " ان", "probability": 0.861328125}, {"start": 2118.8, "end": 2118.92, "word": " ال", "probability": 0.87060546875}, {"start": 2118.92, "end": 2119.08, "word": " Y", "probability": 0.98486328125}, {"start": 2119.08, "end": 2119.56, "word": " infinite", "probability": 0.68505859375}, {"start": 2119.56, "end": 2120.06, "word": " بدنا", "probability": 0.90185546875}, {"start": 2120.06, "end": 2120.28, "word": " يفرض", "probability": 0.84716796875}, {"start": 2120.28, "end": 2120.38, "word": " ان", "probability": 0.1343994140625}, {"start": 2120.38, "end": 2120.5, "word": " هذا", "probability": 0.71875}, {"start": 2120.5, "end": 2121.14, "word": " المستحيل", "probability": 0.854736328125}], "temperature": 1.0}, {"id": 88, "seek": 214555, "start": 2121.71, "end": 2145.55, "text": "العملية بس انتباه انتبهوا ال Y infinite وال X أكبر منها لازم تكون infinite بالباش بالنظرية توي أثمتناها الفرع اللي اتصابها أثمتها X is infinite مين دليلي نظرية خمسة واحد A فرع A طبعا contradiction لأن X شمالها finite", "tokens": [6027, 25957, 1211, 10632, 4724, 3794, 16472, 2655, 3555, 40294, 16472, 2655, 3555, 3224, 14407, 2423, 398, 13785, 16070, 1783, 5551, 4117, 26890, 9154, 11296, 5296, 31377, 2304, 6055, 30544, 13785, 20666, 3555, 33599, 20666, 1863, 19913, 2288, 10632, 6055, 45865, 5551, 12984, 2304, 2655, 8315, 11296, 27188, 2288, 3615, 13672, 1829, 1975, 2655, 9381, 16758, 11296, 5551, 12984, 2304, 2655, 11296, 1783, 307, 13785, 3714, 9957, 11778, 20292, 1211, 1829, 8717, 19913, 2288, 10632, 16490, 2304, 3794, 3660, 36764, 24401, 316, 6156, 2288, 3615, 316, 23032, 3555, 3615, 995, 34937, 5296, 33456, 1783, 13412, 2304, 6027, 11296, 19362], "avg_logprob": -0.24656250089406967, "compression_ratio": 1.6650485436893203, "no_speech_prob": 0.0, 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طول", "probability": 0.957763671875}, {"start": 2301.45, "end": 2301.77, "word": " النظرية", "probability": 0.83343505859375}, {"start": 2301.77, "end": 2302.53, "word": " السابقة،", "probability": 0.9671630859375}, {"start": 2302.53, "end": 2302.95, "word": " فده", "probability": 0.7400716145833334}, {"start": 2302.95, "end": 2303.13, "word": " بس", "probability": 0.951416015625}, {"start": 2303.13, "end": 2303.69, "word": " ملاحظة", "probability": 0.9865234375}, {"start": 2303.69, "end": 2304.33, "word": " سريعة", "probability": 0.94775390625}], "temperature": 1.0}, {"id": 96, "seek": 233250, "start": 2304.58, "end": 2332.5, "text": "خلّينا نشوف البرهة فاحنا بدنا نشوف البرهة وإن شاء الله بنبني على بعض ما تعلمناه في البرهان السابق مع بعض الإختلافات القليلة theorem 5-2 approved طبعا فيه مواطيات let g from a be a bijection خلّينا نكتبها لإن محتاجينها", "tokens": [9778, 1211, 11703, 9957, 995, 8717, 8592, 38688, 2423, 26890, 3224, 3660, 6156, 39319, 8315, 47525, 8315, 8717, 8592, 38688, 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236096, "start": 2333.17, "end": 2360.97, "text": "let g من x ل y be a bijection one to one يعني bijection اتعود على المصطلح هى اه بقوللي if x is infinite اذا هدا يشمله الشرط بنفترض ان هو ياش معطق assume x is infinite ايش مطلوب اثبت ان ال y infinite we have", "tokens": [2631, 290, 9154, 2031, 5296, 288, 312, 257, 3228, 1020, 313, 472, 281, 472, 37495, 22653, 3228, 1020, 313, 1975, 2655, 3615, 23328, 15844, 9673, 9381, 9566, 1211, 5016, 8032, 7578, 1975, 3224, 4724, 39648, 20292, 498, 2031, 307, 13785, 1975, 15730, 8032, 28259, 7251, 8592, 42213, 3224, 25124, 2288, 9566, 44945, 5172, 2655, 43042, 16472, 31439, 7251, 33599, 20449, 9566, 4587, 6552, 2031, 307, 13785, 1975, 1829, 8592, 3714, 9566, 1211, 37746, 1975, 12984, 3555, 2655, 16472, 2423, 288, 13785, 321, 362], "avg_logprob": -0.2715773685347466, "compression_ratio": 1.5105263157894737, "no_speech_prob": 0.0, "words": [{"start": 2333.17, "end": 2333.59, "word": "let", "probability": 0.09271240234375}, {"start": 2333.59, "end": 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هذي one to one and unto مابتنفعش مين اللي بيقوم بعملية التصغير اللي قلنا عنه اللي بيدينا صورة مش unto ال F فلازم ندخل ال F على الخط", "tokens": [10721, 3224, 3714, 43020, 2423, 460, 6055, 47341, 3615, 22653, 24976, 398, 4724, 3794, 4724, 30544, 41850, 32239, 8592, 19446, 25957, 1211, 2655, 8592, 11933, 8592, 1829, 41850, 47525, 3224, 5551, 32887, 5016, 9154, 398, 5296, 1783, 4724, 30544, 32239, 8592, 5296, 33456, 2423, 460, 17340, 20449, 2423, 460, 8032, 8848, 1829, 472, 281, 472, 293, 16521, 3714, 16758, 2655, 1863, 5172, 3615, 8592, 3714, 9957, 13672, 1829, 4724, 1829, 4587, 20498, 4724, 25957, 1211, 10632, 16712, 9381, 17082, 13546, 13672, 1829, 12174, 1211, 8315, 18871, 3224, 13672, 1829, 4724, 1829, 16254, 8315, 20328, 13063, 3660, 37893, 16521, 2423, 479, 6156, 1211, 31377, 2304, 8717, 3215, 9778, 1211, 2423, 479, 15844, 33962, 9566], "avg_logprob": -0.20984101047118506, "compression_ratio": 1.6883116883116882, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 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