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+{"segments": [{"id": 1, "seek": 4397, "start": 21.19, "end": 43.97, "text": "بسم الله الرحمن الرحيم المرة الماضية بدأنا بعنوان اللي هو بعض أنواع الدوال العادية واخدنا أول نوع من هذه الأنواع وهي ال linear function يعني الدالة الخطية وشوفنا ان هذا رسمته هو خط مستقيم وشفنا الخطوط المستقيمة", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 9673, 25720, 9673, 46958, 10632, 47525, 10721, 8315, 45030, 1863, 2407, 7649, 13672, 1829, 31439, 45030, 11242, 14739, 14407, 3615, 32748, 2407, 6027, 18863, 18513, 10632, 4032, 47283, 3215, 8315, 5551, 12610, 8717, 45367, 9154, 29538, 16247, 1863, 14407, 3615, 37037, 1829, 2423, 8213, 2445, 37495, 22653, 32748, 6027, 3660, 33962, 9566, 10632, 4032, 8592, 38688, 8315, 16472, 23758, 12602, 38251, 47395, 31439, 16490, 9566, 3714, 14851, 4587, 32640, 4032, 8592, 5172, 8315, 33962, 9566, 2407, 9566, 9673, 14851, 4587, 32640, 3660], "avg_logprob": -0.11701766620187656, "compression_ratio": 1.8877551020408163, "no_speech_prob": 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نرسم الرسم اللي عندنا هذه يبقى بصير على الشكل التالي هذا محور X هذا محور Y هذه نقطة الأصل اللي هي Zero يبقى مجوس بالشكل اللي عندنا هذا هيك", "tokens": [10721, 5172, 2655, 43042, 14739, 283, 295, 2031, 7251, 3794, 995, 45865, 10874, 8848, 2288, 2423, 1783, 37495, 22653, 1783, 5551, 3794, 12174, 3215, 33599, 5551, 3794, 8717, 9381, 45164, 11331, 21292, 8315, 8717, 2288, 38251, 34892, 38251, 13672, 1829, 43242, 8315, 29538, 7251, 3555, 4587, 7578, 4724, 9381, 13546, 15844, 25124, 28820, 16712, 6027, 1829, 23758, 3714, 5016, 13063, 1783, 23758, 3714, 5016, 13063, 398, 29538, 8717, 47432, 3660, 16247, 36520, 13672, 1829, 39896, 17182, 7251, 3555, 4587, 7578, 3714, 7435, 41779, 20666, 8592, 28820, 13672, 1829, 43242, 8315, 23758, 39896, 4117], "avg_logprob": -0.2300531932331146, "compression_ratio": 1.8138297872340425, "no_speech_prob": 0.0, "words": [{"start": 508.47, "end": 509.21, "word": "أفترض", "probability": 0.767852783203125}, {"start": 509.21, "end": 509.49, "word": " أن", 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سالب", "tokens": [5016, 1829, 12984, 2423, 426, 307, 257, 2107, 3671, 24922, 6225, 3215, 3215, 20328, 5016, 1829, 5016, 32771, 13546, 8608, 6027, 3555], "avg_logprob": -0.27615488093832263, "compression_ratio": 0.9342105263157895, "no_speech_prob": 0.0, "words": [{"start": 852.74, "end": 853.46, "word": "حيث", "probability": 0.8230794270833334}, {"start": 853.46, "end": 854.62, "word": " ال", "probability": 0.8427734375}, {"start": 854.62, "end": 855.24, "word": " N", "probability": 0.348388671875}, {"start": 855.24, "end": 857.82, "word": " is", "probability": 0.2724609375}, {"start": 857.82, "end": 859.84, "word": " a", "probability": 0.921875}, {"start": 859.84, "end": 860.64, "word": " non", "probability": 0.927734375}, {"start": 860.64, "end": 865.56, "word": " negative", "probability": 0.61669921875}, {"start": 865.56, "end": 866.66, "word": " integer", "probability": 0.7412109375}, {"start": 866.66, "end": 869.76, "word": " عدد", "probability": 0.8854166666666666}, {"start": 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" يساوي", "probability": 0.95751953125}, {"start": 1335.15, "end": 1335.73, "word": " P", "probability": 0.96826171875}, {"start": 1335.73, "end": 1336.27, "word": " of", "probability": 0.98095703125}, {"start": 1336.27, "end": 1336.81, "word": " X", "probability": 0.9951171875}, {"start": 1336.81, "end": 1338.49, "word": " مقسومة", "probability": 0.86845703125}, {"start": 1338.49, "end": 1338.99, "word": " على", "probability": 0.7353515625}, {"start": 1338.99, "end": 1339.43, "word": " ال", "probability": 0.828125}, {"start": 1339.43, "end": 1339.75, "word": " Q", "probability": 0.9560546875}, {"start": 1339.75, "end": 1340.33, "word": " of", "probability": 0.97802734375}, {"start": 1340.33, "end": 1340.93, "word": " X", "probability": 0.99560546875}, {"start": 1340.93, "end": 1342.43, "word": " where", "probability": 0.568359375}, {"start": 1342.43, "end": 1343.71, "word": " حيث", "probability": 0.9689127604166666}, {"start": 1343.71, "end": 1344.65, "word": " ال", "probability": 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"temperature": 1.0}, {"id": 73, "seek": 176551, "start": 1752.21, "end": 1765.51, "text": "طب نشوف العكس، any rational function is an algebraic function صح؟ any real أو any linear function is an algebraic function", "tokens": [9566, 3555, 8717, 8592, 38688, 18863, 4117, 3794, 12399, 604, 15090, 2445, 307, 364, 21989, 299, 2445, 20328, 5016, 22807, 604, 957, 34051, 604, 8213, 2445, 307, 364, 21989, 299, 2445], "avg_logprob": -0.23291015066206455, "compression_ratio": 1.404040404040404, "no_speech_prob": 0.0, "words": [{"start": 1752.21, "end": 1752.47, "word": "طب", "probability": 0.5286865234375}, {"start": 1752.47, "end": 1752.75, "word": " نشوف", "probability": 0.9573567708333334}, {"start": 1752.75, "end": 1753.39, "word": " العكس،", "probability": 0.779296875}, {"start": 1753.39, "end": 1753.65, "word": " any", "probability": 0.74609375}, {"start": 1753.65, "end": 1754.17, "word": " rational", "probability": 0.90673828125}, {"start": 1754.17, "end": 1754.83, "word": " function", 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أكبر من ال 0 و ال a ممنوع تساوي واحد يبقى ال a to the power x positive دائما و always يعني لن يكسر هذا القانون ولو مرة", "tokens": [3555, 28543, 2288, 5551, 5016, 9566, 25062, 995, 22488, 3660, 4032, 41850, 3714, 43500, 39319, 257, 281, 264, 1347, 2031, 5551, 4117, 26890, 9154, 1958, 337, 439, 2031, 4724, 3794, 25124, 2288, 9566, 23758, 3714, 29245, 23328, 18871, 16254, 8032, 3224, 3224, 2423, 257, 5551, 4117, 26890, 9154, 2423, 1958, 4032, 2423, 257, 3714, 27842, 45367, 6055, 3794, 995, 45865, 36764, 24401, 7251, 3555, 4587, 7578, 2423, 257, 281, 264, 1347, 2031, 3353, 11778, 16373, 15042, 4032, 1009, 37495, 22653, 5296, 1863, 7251, 4117, 3794, 2288, 23758, 25062, 7649, 11536, 35525, 2407, 3714, 25720], "avg_logprob": -0.15830592199375754, "compression_ratio": 1.5933014354066986, "no_speech_prob": 0.0, "words": [{"start": 2605.18, "end": 2605.76, "word": "بقدر", "probability": 0.8245442708333334}, {"start": 2605.76, "end": 2606.16, "word": " أحط", "probability": 0.7188313802083334}, 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154, "seek": 372536, "start": 3700.52, "end": 3725.36, "text": "بس التركيبية أجلناها لك إلى ما بعد قليل قلينا نشوف الشغلات اللي بيبقى أول شغلة بدنا نكوّن دالة جديدة من دالتين موجودتين إما بعملية الجامعة أو عملية الطرح أو عملية الضرب أو عملية القسمة وبعد ما نكوّن هذه الدول بدنا ندور على ال domain تبعها", "tokens": [3555, 3794, 16712, 31747, 1829, 3555, 10632, 5551, 7435, 1211, 8315, 11296, 5296, 4117, 30731, 19446, 39182, 12174, 20292, 1211, 12174, 20292, 8315, 8717, 8592, 38688, 25124, 17082, 1211, 9307, 13672, 1829, 4724, 1829, 3555, 4587, 7578, 5551, 12610, 13412, 17082, 37977, 47525, 8315, 8717, 4117, 2407, 11703, 1863, 11778, 6027, 3660, 10874, 16254, 41891, 9154, 11778, 6027, 2655, 9957, 3714, 29245, 23328, 2655, 9957, 11933, 15042, 4724, 25957, 1211, 10632, 25724, 10943, 27884, 34051, 6225, 42213, 10632, 41950, 2288, 5016, 34051, 6225, 42213, 10632, 6024, 114, 25513, 34051, 6225, 42213, 10632, 25062, 38251, 3660, 46599, 22488, 19446, 8717, 4117, 2407, 11703, 1863, 29538, 32748, 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375288, "start": 3725.68, "end": 3752.88, "text": "ما هي علاقة الـ domain لهذه الدوال بالـ domains للدلتين الأصليتين بقول التعريف كتل افترض ان عندك دلتين f و g are two functions وخدنا element x موجود في تقاطع two domains domain ال f intersection domain ال g يعني انا جبت domain ال f", "tokens": [15042, 39896, 11203, 995, 28671, 2423, 39184, 9274, 46740, 24192, 32748, 2407, 6027, 20666, 39184, 25514, 24976, 3215, 1211, 2655, 9957, 16247, 9381, 20292, 2655, 9957, 4724, 39648, 16712, 3615, 16572, 5172, 9122, 2655, 1211, 1975, 5172, 2655, 43042, 16472, 43242, 4117, 11778, 1211, 2655, 9957, 283, 4032, 290, 366, 732, 6828, 4032, 9778, 3215, 8315, 4478, 2031, 3714, 29245, 23328, 8978, 6055, 4587, 41193, 3615, 732, 25514, 9274, 2423, 283, 15236, 9274, 2423, 290, 37495, 22653, 1975, 8315, 10874, 3555, 2655, 9274, 2423, 283], "avg_logprob": -0.23746366244415903, "compression_ratio": 1.6439024390243901, "no_speech_prob": 0.0, "words": [{"start": 3725.68, "end": 3726.08, "word": "ما", 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infinity إلى infinity ب gene مين domain ال F يبقى تقاطع ما بين domain ال F وما بين ال set of real numbers domain ال F itself ومن هنا روح نقول دومين ال constant F هو مين", "tokens": [28820, 957, 1230, 9154, 8608, 6027, 3555, 13202, 30731, 13202, 4724, 12186, 3714, 9957, 9274, 2423, 479, 7251, 3555, 4587, 7578, 6055, 4587, 41193, 3615, 19446, 49374, 9274, 2423, 479, 4032, 15042, 49374, 2423, 992, 295, 957, 3547, 9274, 2423, 479, 2564, 4032, 27842, 34105, 12602, 2407, 5016, 8717, 39648, 11778, 20498, 9957, 2423, 5754, 479, 31439, 3714, 9957], "avg_logprob": -0.41171874552965165, "compression_ratio": 1.608695652173913, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 3888.3, "end": 3888.64, "word": "كل", "probability": 0.448486328125}, {"start": 3888.64, "end": 3889.0, "word": " real", "probability": 0.261962890625}, {"start": 3889.0, "end": 3889.34, "word": " number", "probability": 0.8671875}, {"start": 3889.34, "end": 3889.5, "word": " من", "probability": 0.970703125}, 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{"start": 4924.65, "end": 4925.27, "word": " بالداجي", "probability": 0.57373046875}, {"start": 4925.27, "end": 4925.63, "word": " اقوله", "probability": 0.676513671875}, {"start": 4925.63, "end": 4925.77, "word": " ال", "probability": 0.45556640625}, {"start": 4925.77, "end": 4926.15, "word": " F", "probability": 0.69580078125}, {"start": 4926.15, "end": 4926.53, "word": " على", "probability": 0.701171875}, {"start": 4926.53, "end": 4926.81, "word": " G", "probability": 0.43115234375}, {"start": 4926.81, "end": 4927.23, "word": " as", "probability": 0.7958984375}, {"start": 4927.23, "end": 4927.43, "word": " a", "probability": 0.86865234375}, {"start": 4927.43, "end": 4927.85, "word": " function", "probability": 0.97216796875}, {"start": 4927.85, "end": 4928.17, "word": " of", "probability": 0.970703125}, {"start": 4928.17, "end": 4928.53, "word": " one", "probability": 0.9169921875}, {"start": 4928.53, "end": 4929.59, "word": " does", "probability": 0.916015625}, {"start": 4929.59, "end": 4930.55, "word": " not", "probability": 0.9638671875}, {"start": 4930.55, "end": 4932.37, "word": " does", "probability": 0.58740234375}, {"start": 4932.37, "end": 4935.39, "word": " not", "probability": 0.96435546875}, {"start": 4935.39, "end": 4937.03, "word": " exist", "probability": 0.9765625}], "temperature": 1.0}, {"id": 210, "seek": 495299, "start": 4938.37, "end": 4952.99, "text": "بسبب ان الواحد ليس مستحيل للفترة ناقص اربعة وناقص اتنين اتحاد اتنين وانفنتي مش موجود في الفترة هذه", "tokens": [3555, 35457, 3555, 16472, 2423, 14407, 24401, 32239, 3794, 3714, 14851, 5016, 26895, 24976, 5172, 2655, 25720, 8717, 995, 4587, 9381, 1975, 25513, 27884, 4032, 1863, 995, 4587, 9381, 1975, 2655, 1863, 9957, 1975, 2655, 5016, 18513, 1975, 2655, 1863, 9957, 4032, 7649, 5172, 29399, 1829, 37893, 3714, 29245, 23328, 8978, 27188, 2655, 25720, 29538], "avg_logprob": -0.35072544855730875, "compression_ratio": 1.584070796460177, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 4938.37, "end": 4939.53, "word": "بسبب", "probability": 0.643798828125}, {"start": 4939.53, "end": 4941.67, "word": " ان", "probability": 0.3837890625}, {"start": 4941.67, "end": 4942.63, "word": " الواحد", "probability": 0.8033854166666666}, {"start": 4942.63, "end": 4943.25, "word": " ليس", "probability": 0.55670166015625}, {"start": 4943.25, "end": 4944.49, "word": " مستحيل", "probability": 0.4954833984375}, {"start": 4944.49, "end": 4945.89, "word": " للفترة", "probability": 0.83551025390625}, {"start": 4945.89, "end": 4946.65, "word": " ناقص", "probability": 0.74554443359375}, {"start": 4946.65, "end": 4947.19, "word": " اربعة", "probability": 0.7547200520833334}, {"start": 4947.19, "end": 4947.87, "word": " وناقص", "probability": 0.81708984375}, {"start": 4947.87, "end": 4948.41, "word": " اتنين", "probability": 0.9775390625}, {"start": 4948.41, "end": 4949.17, "word": " اتحاد", "probability": 0.800537109375}, {"start": 4949.17, "end": 4950.11, "word": " اتنين", "probability": 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تربية ناقص واحد", "tokens": [6027, 7649, 10874, 1829, 5296, 15042, 6055, 10721, 49115, 15844, 18863, 1863, 9381, 2288, 7251, 3794, 995, 45865, 25724, 8848, 16572, 16712, 2288, 21292, 3615, 1829, 5296, 9778, 2304, 3794, 3660, 8717, 995, 4587, 9381, 23758, 18863, 1863, 9381, 2288, 7251, 3555, 4587, 7578, 23758, 47525, 3224, 7251, 3794, 995, 45865, 25724, 8848, 16572, 16712, 2288, 21292, 3615, 1829, 5296, 9778, 2304, 3794, 3660, 8717, 995, 4587, 9381, 23758, 18863, 1863, 9381, 2288, 5296, 28814, 4117, 3794, 6055, 25513, 10632, 8717, 995, 4587, 9381, 36764, 24401], "avg_logprob": -0.18372844382264147, "compression_ratio": 2.2666666666666666, "no_speech_prob": 1.3709068298339844e-06, "words": [{"start": 5734.4800000000005, "end": 5735.76, "word": "الان", "probability": 0.40203857421875}, {"start": 5735.76, "end": 5736.18, "word": " جي", "probability": 0.651611328125}, {"start": 5736.18, "end": 5736.46, "word": " لما", "probability": 0.6820068359375}, {"start": 5736.46, "end": 5737.06, 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