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+{"segments": [{"id": 1, "seek": 3047, "start": 2.09, "end": 30.47, "text": "بسم الله الرحمن الرحيم عزيزي الله والسلام عليكم ورحمة الله وبركاته في هذا الفيديو نستخدم ال section 1.1 الجزء التالف لل section يتكلم عن موضوعين همين اللي هو الدبال التسليف من الحيات التزايدية و التناقصية و الدبال الزيودية و التردية فهو الجزء الأول increasing and decreasing functions اللي هو increasing التزايدي و decreasing التناقصية ف let F be a function", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 6225, 11622, 1829, 11622, 1829, 21984, 16070, 3794, 37440, 25894, 24793, 4032, 2288, 35571, 3660, 21984, 4032, 26890, 4117, 9307, 3224, 8978, 23758, 27188, 1829, 16254, 2407, 8717, 14851, 9778, 40448, 2423, 3541, 502, 13, 16, 25724, 11622, 38207, 16712, 6027, 5172, 24976, 3541, 7251, 2655, 4117, 19528, 18871, 3714, 2407, 11242, 45367, 9957, 8032, 2304, 9957, 13672, 1829, 31439, 32748, 3555, 6027, 16712, 3794, 20292, 5172, 9154, 21542, 1829, 9307, 16712, 11622, 995, 25708, 10632, 4032, 16712, 8315, 4587, 9381, 10632, 4032, 32748, 3555, 6027, 6024, 110, 1829, 2407, 16254, 3660, 4032, 16712, 2288, 3215, 10632, 6156, 3224, 2407, 25724, 11622, 38207, 16247, 12610, 5662, 293, 23223, 6828, 13672, 1829, 31439, 5662, 16712, 11622, 995, 25708, 1829, 4032, 23223, 16712, 8315, 4587, 9381, 10632, 6156, 718, 479, 312, 257, 2445], "avg_logprob": -0.29521277610291824, "compression_ratio": 2.1305970149253732, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2.09, "end": 2.41, "word": "بسم", "probability": 0.795654296875}, {"start": 2.41, "end": 2.63, "word": " الله", "probability": 0.9482421875}, {"start": 2.63, "end": 2.97, "word": " الرحمن", "probability": 0.9744466145833334}, {"start": 2.97, "end": 3.39, "word": " الرحيم", "probability": 0.9910481770833334}, {"start": 3.39, "end": 3.87, "word": " عزيزي", "probability": 0.8158203125}, {"start": 3.87, "end": 4.09, "word": " الله", "probability": 0.86767578125}, {"start": 4.09, "end": 4.47, "word": " والسلام", "probability": 0.7267252604166666}, {"start": 4.47, "end": 4.87, "word": " عليكم", "probability": 0.962890625}, {"start": 4.87, "end": 5.15, "word": " ورحمة", "probability": 0.9503173828125}, {"start": 5.15, "end": 5.25, "word": " الله", "probability": 0.958984375}, {"start": 5.25, "end": 5.93, "word": " وبركاته", "probability": 0.98369140625}, {"start": 5.93, "end": 6.19, "word": " في", "probability": 0.92626953125}, {"start": 6.19, "end": 6.39, "word": " هذا", "probability": 0.87353515625}, {"start": 6.39, "end": 6.77, "word": " الفيديو", "probability": 0.9420166015625}, {"start": 6.77, "end": 7.27, "word": " نستخدم", "probability": 0.780029296875}, {"start": 7.27, "end": 7.49, "word": " ال", "probability": 0.69140625}, {"start": 7.49, "end": 7.75, "word": " section", "probability": 0.763671875}, {"start": 7.75, "end": 8.11, "word": " 1", "probability": 0.6748046875}, {"start": 8.11, "end": 8.77, "word": ".1", "probability": 0.6920166015625}, {"start": 8.77, "end": 10.07, "word": " الجزء", "probability": 0.9326171875}, {"start": 10.07, "end": 10.63, "word": " التالف", "probability": 0.8611653645833334}, {"start": 10.63, "end": 10.83, "word": " لل", "probability": 0.5615234375}, {"start": 10.83, "end": 11.29, "word": " section", "probability": 0.56005859375}, {"start": 11.29, "end": 11.85, "word": " يتكلم", "probability": 0.84246826171875}, {"start": 11.85, "end": 12.09, "word": " عن", "probability": 0.916015625}, {"start": 12.09, "end": 12.45, "word": " موضوعين", "probability": 0.73896484375}, {"start": 12.45, "end": 12.75, "word": " همين", "probability": 0.7163899739583334}, {"start": 12.75, "end": 12.89, "word": " اللي", "probability": 0.57598876953125}, {"start": 12.89, "end": 13.17, "word": " هو", "probability": 0.9130859375}, {"start": 13.17, "end": 14.17, "word": " الدبال", "probability": 0.5936686197916666}, {"start": 14.17, "end": 14.61, "word": " التسليف", "probability": 0.5706787109375}, {"start": 14.61, "end": 14.73, "word": " من", "probability": 0.51025390625}, {"start": 14.73, "end": 15.01, "word": " الحيات", "probability": 0.5980631510416666}, {"start": 15.01, "end": 15.55, "word": " التزايدية", "probability": 0.9447265625}, {"start": 15.55, "end": 15.67, "word": " و", "probability": 0.308349609375}, {"start": 15.67, "end": 16.33, "word": " التناقصية", "probability": 0.874609375}, {"start": 16.33, "end": 17.03, "word": " و", "probability": 0.42919921875}, {"start": 17.03, "end": 17.59, "word": " الدبال", "probability": 0.9417317708333334}, {"start": 17.59, "end": 18.11, "word": " الزيودية", "probability": 0.6342366536458334}, {"start": 18.11, "end": 18.19, "word": " و", "probability": 0.6123046875}, {"start": 18.19, "end": 18.85, "word": " التردية", "probability": 0.773681640625}, {"start": 18.85, "end": 20.25, "word": " فهو", "probability": 0.688232421875}, {"start": 20.25, "end": 21.33, "word": " الجزء", "probability": 0.7301025390625}, {"start": 21.33, "end": 21.53, "word": " الأول", "probability": 0.634033203125}, {"start": 21.53, "end": 22.21, "word": " increasing", "probability": 0.52587890625}, {"start": 22.21, "end": 22.63, "word": " and", "probability": 0.8046875}, {"start": 22.63, "end": 23.09, "word": " decreasing", "probability": 0.96044921875}, {"start": 23.09, "end": 23.93, "word": " functions", "probability": 0.70361328125}, {"start": 23.93, "end": 24.83, "word": " اللي", "probability": 0.837890625}, {"start": 24.83, "end": 24.99, "word": " هو", "probability": 0.97021484375}, {"start": 24.99, "end": 25.73, "word": " increasing", "probability": 0.41162109375}, {"start": 25.73, "end": 26.69, "word": " التزايدي", "probability": 0.871875}, {"start": 26.69, "end": 26.81, "word": " و", "probability": 0.921875}, {"start": 26.81, "end": 27.17, "word": " decreasing", "probability": 0.95068359375}, {"start": 27.17, "end": 28.11, "word": " التناقصية", "probability": 0.85810546875}, {"start": 28.11, "end": 28.97, "word": " ف", "probability": 0.90673828125}, {"start": 28.97, "end": 29.37, "word": " let", "probability": 0.12286376953125}, {"start": 29.37, "end": 29.65, "word": " F", "probability": 0.499267578125}, {"start": 29.65, "end": 29.85, "word": " be", "probability": 0.86865234375}, {"start": 29.85, "end": 30.03, "word": " a", "probability": 0.96923828125}, {"start": 30.03, "end": 30.47, "word": " function", "probability": 0.98095703125}], "temperature": 1.0}, {"id": 2, "seek": 3914, "start": 37.06, "end": 39.14, "text": "فرضنا مُعرّف على فترة I", "tokens": [5172, 43042, 8315, 3714, 10859, 3615, 2288, 11703, 5172, 15844, 6156, 2655, 25720, 286], "avg_logprob": -0.6479166428248088, "compression_ratio": 0.7884615384615384, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 37.06, "end": 37.74, "word": "فرضنا", "probability": 0.5155843098958334}, {"start": 37.74, "end": 38.42, "word": " مُعرّف", "probability": 0.60467529296875}, {"start": 38.42, "end": 38.54, "word": " على", "probability": 0.487548828125}, {"start": 38.54, "end": 38.88, "word": " فترة", "probability": 0.7942708333333334}, {"start": 38.88, "end": 39.14, "word": " I", "probability": 0.6962890625}], "temperature": 1.0}, {"id": 3, "seek": 6290, "start": 39.5, "end": 62.9, "text": "لو خدنا أي نقطة x1 وx2 في هذه الفترة وإذا كانت عندنا x1 أقل من x2 هدي يودي لصورة Fx2 أقل من صورة Fx1 بمعنى أنه كل ما اتجهنا اليمين الصور بيزيدوا ومن حالة ذلك يصعد لأعلى فإن الذلك في هذه الحالة تكون تالة زيادية يعني F is said to be an increasing on I", "tokens": [1211, 2407, 16490, 3215, 8315, 36632, 8717, 47432, 3660, 2031, 16, 4032, 87, 17, 8978, 29538, 27188, 2655, 25720, 4032, 28814, 15730, 25961, 2655, 43242, 8315, 2031, 16, 5551, 4587, 1211, 9154, 2031, 17, 8032, 16254, 7251, 2407, 16254, 5296, 9381, 13063, 3660, 479, 87, 17, 5551, 4587, 1211, 9154, 20328, 13063, 3660, 479, 87, 16, 4724, 2304, 3615, 1863, 7578, 14739, 3224, 28242, 19446, 1975, 2655, 7435, 3224, 8315, 45595, 2304, 9957, 31767, 13063, 4724, 1829, 11622, 25708, 14407, 4032, 27842, 11331, 6027, 3660, 29910, 23275, 7251, 9381, 22488, 5296, 10721, 3615, 23942, 6156, 28814, 1863, 32545, 23275, 8978, 29538, 21542, 6027, 3660, 6055, 30544, 6055, 6027, 3660, 30767, 1829, 18513, 10632, 37495, 22653, 479, 307, 848, 281, 312, 364, 5662, 322, 286], "avg_logprob": -0.3037500133514404, "compression_ratio": 1.6489795918367347, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 39.5, "end": 39.74, "word": "لو", "probability": 0.5302734375}, {"start": 39.74, "end": 40.0, "word": " خدنا", "probability": 0.6935628255208334}, {"start": 40.0, "end": 40.14, "word": " أي", "probability": 0.57568359375}, {"start": 40.14, "end": 40.46, "word": " نقطة", "probability": 0.8388671875}, {"start": 40.46, "end": 40.86, "word": " x1", "probability": 0.465576171875}, {"start": 40.86, "end": 41.26, "word": " وx2", "probability": 0.6573079427083334}, {"start": 41.26, "end": 41.36, "word": " في", "probability": 0.6865234375}, {"start": 41.36, "end": 41.54, "word": " هذه", "probability": 0.80126953125}, {"start": 41.54, "end": 42.2, "word": " الفترة", "probability": 0.8704427083333334}, {"start": 42.2, "end": 42.8, "word": " وإذا", "probability": 0.7552083333333334}, {"start": 42.8, "end": 43.18, "word": " كانت", "probability": 0.7110595703125}, {"start": 43.18, "end": 43.48, "word": " عندنا", "probability": 0.7958984375}, {"start": 43.48, "end": 44.0, "word": " x1", "probability": 0.88330078125}, {"start": 44.0, "end": 44.32, "word": " أقل", "probability": 0.92431640625}, {"start": 44.32, "end": 44.48, "word": " من", "probability": 0.9765625}, {"start": 44.48, "end": 45.16, "word": " x2", "probability": 0.984619140625}, {"start": 45.16, "end": 45.44, "word": " هدي", "probability": 0.24627685546875}, {"start": 45.44, "end": 45.64, "word": " يودي", "probability": 0.5719401041666666}, {"start": 45.64, "end": 46.6, "word": " لصورة", "probability": 0.880859375}, {"start": 46.6, "end": 47.46, "word": " Fx2", "probability": 0.595703125}, {"start": 47.46, "end": 47.82, "word": " أقل", "probability": 0.9775390625}, {"start": 47.82, "end": 47.92, "word": " من", "probability": 0.99462890625}, {"start": 47.92, "end": 48.28, "word": " صورة", "probability": 0.9254557291666666}, {"start": 48.28, "end": 49.02, "word": " Fx1", "probability": 0.97314453125}, {"start": 49.02, "end": 49.46, "word": " بمعنى", "probability": 0.92626953125}, {"start": 49.46, "end": 49.76, "word": " أنه", "probability": 0.564208984375}, {"start": 49.76, "end": 49.94, "word": " كل", "probability": 0.97998046875}, {"start": 49.94, "end": 50.1, "word": " ما", "probability": 0.693359375}, {"start": 50.1, "end": 50.56, "word": " اتجهنا", "probability": 0.89892578125}, {"start": 50.56, "end": 51.2, "word": " اليمين", "probability": 0.5947265625}, {"start": 51.2, "end": 52.12, "word": " الصور", "probability": 0.90625}, {"start": 52.12, "end": 52.68, "word": " بيزيدوا", "probability": 0.708251953125}, {"start": 52.68, "end": 53.44, "word": " ومن", "probability": 0.4857177734375}, {"start": 53.44, "end": 53.72, "word": " حالة", "probability": 0.7734375}, {"start": 53.72, "end": 54.0, "word": " ذلك", "probability": 0.67431640625}, {"start": 54.0, "end": 54.78, "word": " يصعد", "probability": 0.8321940104166666}, {"start": 54.78, "end": 55.22, "word": " لأعلى", "probability": 0.9033203125}, {"start": 55.22, "end": 55.74, "word": " فإن", "probability": 0.89990234375}, {"start": 55.74, "end": 56.66, "word": " الذلك", "probability": 0.4874267578125}, {"start": 56.66, "end": 56.78, "word": " في", "probability": 0.8173828125}, {"start": 56.78, "end": 56.92, "word": " هذه", "probability": 0.86669921875}, {"start": 56.92, "end": 57.26, "word": " الحالة", "probability": 0.98681640625}, {"start": 57.26, "end": 57.62, "word": " تكون", "probability": 0.94921875}, {"start": 57.62, "end": 58.06, "word": " تالة", "probability": 0.490234375}, {"start": 58.06, "end": 58.76, "word": " زيادية", "probability": 0.82275390625}, {"start": 58.76, "end": 59.32, "word": " يعني", "probability": 0.75}, {"start": 59.32, "end": 59.66, "word": " F", "probability": 0.60546875}, {"start": 59.66, "end": 59.94, "word": " is", "probability": 0.7978515625}, {"start": 59.94, "end": 60.2, "word": " said", "probability": 0.8310546875}, {"start": 60.2, "end": 60.4, "word": " to", "probability": 0.982421875}, {"start": 60.4, "end": 60.62, "word": " be", "probability": 0.95263671875}, {"start": 60.62, "end": 60.8, "word": " an", "probability": 0.80908203125}, {"start": 60.8, "end": 61.2, "word": " increasing", "probability": 0.9033203125}, {"start": 61.2, "end": 62.54, "word": " on", "probability": 0.900390625}, {"start": 62.54, "end": 62.9, "word": " I", "probability": 0.736328125}], "temperature": 1.0}, {"id": 4, "seek": 8895, "start": 63.35, "end": 88.95, "text": "فهذه التزايدية تكون فيها .. لو أخذت أي عنصرين في ال domain فصورة الصغيرة ستكون أصغر من صورة كبيرة ف Fx1 ستكون أصغر من صورة Fx2 بالمقابل لو كان Fx1 أقل من Fx2 و طلعت Fx2 أقل من Fx1 يعني الأكبر صورة أقل كل ما طيه اليمين من حالة دلق تنزل أسفل فهذا الحالة اللي بقول عنها تناقصية decreasing", "tokens": [5172, 3224, 24192, 16712, 11622, 995, 25708, 10632, 6055, 30544, 8978, 11296, 4386, 45164, 5551, 9778, 8848, 2655, 36632, 18871, 9381, 2288, 9957, 8978, 2423, 9274, 6156, 9381, 13063, 3660, 31767, 17082, 48923, 8608, 2655, 30544, 5551, 9381, 17082, 2288, 9154, 20328, 13063, 3660, 9122, 3555, 48923, 6156, 479, 87, 16, 8608, 2655, 30544, 5551, 9381, 17082, 2288, 9154, 20328, 13063, 3660, 479, 87, 17, 20666, 2304, 4587, 16758, 1211, 45164, 25961, 479, 87, 16, 5551, 4587, 1211, 9154, 479, 87, 17, 4032, 23032, 1211, 34268, 479, 87, 17, 5551, 4587, 1211, 9154, 479, 87, 16, 37495, 22653, 16247, 4117, 26890, 20328, 13063, 3660, 5551, 4587, 1211, 28242, 19446, 23032, 1829, 3224, 2423, 32640, 9957, 9154, 11331, 6027, 3660, 11778, 1211, 4587, 6055, 1863, 11622, 1211, 5551, 3794, 5172, 1211, 6156, 3224, 15730, 21542, 6027, 3660, 13672, 1829, 4724, 39648, 18871, 11296, 6055, 8315, 4587, 9381, 10632, 23223], "avg_logprob": -0.32739094519775186, "compression_ratio": 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"probability": 0.9700520833333334}, {"start": 145.65, "end": 145.83, "word": " مش", "probability": 0.2578125}, {"start": 145.83, "end": 146.19, "word": " زوجية", "probability": 0.9874674479166666}, {"start": 146.19, "end": 146.35, "word": " أو", "probability": 0.8564453125}, {"start": 146.35, "end": 146.71, "word": " فردية", "probability": 0.970458984375}, {"start": 146.71, "end": 146.89, "word": " فهي", "probability": 0.6600748697916666}, {"start": 146.89, "end": 147.23, "word": " neither", "probability": 0.190673828125}, {"start": 147.23, "end": 148.33, "word": " even", "probability": 0.673828125}, {"start": 148.33, "end": 148.75, "word": " nor", "probability": 0.75146484375}, {"start": 148.75, "end": 149.27, "word": " odd", "probability": 0.85791015625}, {"start": 149.27, "end": 149.93, "word": " function", "probability": 0.892578125}], "temperature": 1.0}, {"id": 8, "seek": 17275, "start": 152.09, "end": 172.75, "text": "فلو شوفنا هيئة فيالة على دالة فردية وقت بساوية استقبال واضح أن الدالة هي متماثلة حول نفسه بالعصر الأعلى والأسفل في تماثل الدالة وقت بساوية استرجاع دالة زوجية even وفي تماثل حول محور الصدر", "tokens": [5172, 1211, 2407, 13412, 38688, 8315, 39896, 19986, 3660, 8978, 6027, 3660, 15844, 11778, 6027, 3660, 6156, 2288, 3215, 10632, 4032, 38149, 4724, 3794, 995, 2407, 10632, 44713, 4587, 3555, 6027, 4032, 46958, 5016, 14739, 32748, 6027, 3660, 39896, 44650, 2304, 5718, 104, 37977, 11331, 12610, 8717, 36178, 3224, 20666, 3615, 9381, 2288, 2423, 10721, 3615, 23942, 16070, 10721, 3794, 5172, 1211, 8978, 46811, 5718, 104, 1211, 32748, 6027, 3660, 4032, 38149, 4724, 3794, 995, 2407, 10632, 44713, 47341, 45761, 11778, 6027, 3660, 30767, 29245, 10632, 754, 4032, 41185, 46811, 5718, 104, 1211, 11331, 12610, 3714, 5016, 13063, 31767, 3215, 2288], "avg_logprob": -0.3964460746330373, "compression_ratio": 1.9367816091954022, "no_speech_prob": 0.0, "words": [{"start": 152.09, "end": 152.47, "word": "فلو", "probability": 0.652099609375}, {"start": 152.47, "end": 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