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بدنا نطبق هذا اللى هو ال definition", "tokens": [3555, 28259, 8717, 2655, 16758, 2288, 2423, 7649, 2423, 7578, 3541, 1722, 12, 19, 13672, 7578, 31439, 20449, 4117, 41779, 5296, 1081, 4088, 13672, 7578, 31439, 2423, 17340, 35592, 4724, 28543, 2288, 14407, 1975, 3615, 9566, 1829, 11296, 7123, 4032, 1863, 8592, 38688, 9122, 33911, 47525, 8315, 8717, 9566, 3555, 4587, 23758, 13672, 7578, 31439, 2423, 7123], "avg_logprob": -0.360452587748396, "compression_ratio": 1.490566037735849, "no_speech_prob": 0.0, "words": [{"start": 2307.33, "end": 2307.73, "word": "بدا", "probability": 0.1964111328125}, {"start": 2307.73, "end": 2308.23, "word": " نتابر", "probability": 0.66973876953125}, {"start": 2308.23, "end": 2308.61, "word": " الان", "probability": 0.7451171875}, {"start": 2308.61, "end": 2309.15, "word": " الى", "probability": 0.6759033203125}, {"start": 2309.15, "end": 2309.51, "word": " section", "probability": 0.58935546875}, {"start": 2309.51, "end": 2310.87, "word": " 9", "probability": 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"probability": 0.9609375}], "temperature": 1.0}, {"id": 104, "seek": 236529, "start": 2340.09, "end": 2365.29, "text": "يبقى ال definition بيقول ما يأتي definition if Laplace transform لل F of T بده يساوي capital F of S then Laplace inverse ل F of S", "tokens": [1829, 3555, 4587, 7578, 2423, 7123, 4724, 1829, 39648, 19446, 7251, 10721, 31371, 7123, 498, 2369, 6742, 4088, 24976, 479, 295, 314, 47525, 3224, 7251, 3794, 995, 45865, 4238, 479, 295, 318, 550, 2369, 6742, 17340, 5296, 479, 295, 318], "avg_logprob": -0.260480177111742, "compression_ratio": 1.2265625, "no_speech_prob": 0.0, "words": [{"start": 2340.09, "end": 2340.53, "word": "يبقى", "probability": 0.83770751953125}, {"start": 2340.53, "end": 2340.63, "word": " ال", "probability": 0.85888671875}, {"start": 2340.63, "end": 2340.99, "word": " definition", "probability": 0.36474609375}, {"start": 2340.99, "end": 2341.65, "word": " بيقول", "probability": 0.9285481770833334}, {"start": 2341.65, "end": 2341.97, "word": " ما", 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"probability": 0.59716796875}, {"start": 2355.87, "end": 2356.67, "word": " F", "probability": 0.9697265625}, {"start": 2356.67, "end": 2357.19, "word": " of", "probability": 0.97802734375}, {"start": 2357.19, "end": 2357.77, "word": " S", "probability": 0.98828125}, {"start": 2357.77, "end": 2358.85, "word": " then", "probability": 0.74169921875}, {"start": 2358.85, "end": 2360.79, "word": " Laplace", "probability": 0.89990234375}, {"start": 2360.79, "end": 2361.77, "word": " inverse", "probability": 0.853515625}, {"start": 2361.77, "end": 2362.79, "word": " ل", "probability": 0.73046875}, {"start": 2362.79, "end": 2363.87, "word": " F", "probability": 0.454833984375}, {"start": 2363.87, "end": 2364.61, "word": " of", "probability": 0.9716796875}, {"start": 2364.61, "end": 2365.29, "word": " S", "probability": 0.9873046875}], "temperature": 1.0}, {"id": 105, "seek": 239412, "start": 2366.06, "end": 2394.12, "text": "Laplace inverse لل F of S بده ساوي اللي هو F of T is called هذا اللي هو بنسمي the inverse Laplace transform Laplace transform of L and we write", "tokens": [43, 569, 19837, 17340, 24976, 479, 295, 318, 47525, 3224, 8608, 995, 45865, 13672, 1829, 31439, 479, 295, 314, 307, 1219, 23758, 13672, 1829, 31439, 44945, 38251, 1829, 264, 17340, 42498, 19837, 4088, 42498, 19837, 4088, 295, 441, 293, 321, 2464], "avg_logprob": -0.3710937379371552, "compression_ratio": 1.376, "no_speech_prob": 0.0, "words": [{"start": 2366.06, "end": 2366.92, "word": "Laplace", "probability": 0.5474141438802084}, {"start": 2366.92, "end": 2367.46, "word": " inverse", "probability": 0.8251953125}, {"start": 2367.46, "end": 2367.98, "word": " لل", "probability": 0.261962890625}, {"start": 2367.98, "end": 2368.52, "word": " F", "probability": 0.70458984375}, {"start": 2368.52, "end": 2369.04, "word": " of", "probability": 0.82958984375}, {"start": 2369.04, "end": 2369.64, "word": " S", "probability": 0.95556640625}, {"start": 2369.64, "end": 2370.84, "word": " بده", "probability": 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{"start": 2377.84, "end": 2378.82, "word": " the", "probability": 0.236328125}, {"start": 2378.82, "end": 2380.82, "word": " inverse", "probability": 0.900390625}, {"start": 2380.82, "end": 2382.92, "word": " Laplace", "probability": 0.772216796875}, {"start": 2382.92, "end": 2383.96, "word": " transform", "probability": 0.90478515625}, {"start": 2383.96, "end": 2385.58, "word": " Laplace", "probability": 0.733642578125}, {"start": 2385.58, "end": 2388.66, "word": " transform", "probability": 0.90234375}, {"start": 2388.66, "end": 2390.9, "word": " of", "probability": 0.95458984375}, {"start": 2390.9, "end": 2391.78, "word": " L", "probability": 0.97314453125}, {"start": 2391.78, "end": 2393.4, "word": " and", "probability": 0.8369140625}, {"start": 2393.4, "end": 2393.62, "word": " we", "probability": 0.95361328125}, {"start": 2393.62, "end": 2394.12, "word": " write", "probability": 0.92578125}], "temperature": 1.0}, {"id": 106, "seek": 240700, "start": 2395.2, "end": 2407.0, "text": "And we write بروح نكتب أنه ل plus inverse لل F لل F of S", "tokens": [5289, 321, 2464, 4724, 32887, 5016, 8717, 4117, 2655, 3555, 14739, 3224, 5296, 1804, 17340, 24976, 479, 24976, 479, 295, 318], "avg_logprob": -0.40873580087314954, "compression_ratio": 1.0, "no_speech_prob": 0.0, "words": [{"start": 2395.2, "end": 2395.94, "word": "And", "probability": 0.045989990234375}, {"start": 2395.94, "end": 2397.38, "word": " we", "probability": 0.62939453125}, {"start": 2397.38, "end": 2398.92, "word": " write", "probability": 0.91015625}, {"start": 2398.92, "end": 2400.1, "word": " بروح", "probability": 0.6892903645833334}, {"start": 2400.1, "end": 2400.94, "word": " نكتب", "probability": 0.9879150390625}, {"start": 2400.94, "end": 2401.72, "word": " أنه", "probability": 0.34228515625}, {"start": 2401.72, "end": 2401.8, "word": " ل", "probability": 0.92333984375}, {"start": 2401.8, "end": 2402.44, "word": " plus", "probability": 0.57568359375}, {"start": 2402.44, "end": 2403.34, "word": " 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"probability": 0.88525390625}], "temperature": 1.0}, {"id": 108, "seek": 245933, "start": 2434.91, "end": 2459.33, "text": "كيف بدنا نوجد ل plus inverse لمين لل capital F of S هذا هو السؤال الإجابة الخطوة التالية answer بدنا نعمل الخطوة الأولى use partial fractions", "tokens": [4117, 33911, 47525, 8315, 8717, 29245, 3215, 5296, 1804, 17340, 32767, 9957, 24976, 4238, 479, 295, 318, 23758, 31439, 21136, 33604, 6027, 33688, 7435, 16758, 3660, 33962, 9566, 2407, 3660, 16712, 6027, 10632, 1867, 47525, 8315, 8717, 25957, 1211, 33962, 9566, 2407, 3660, 16247, 12610, 7578, 764, 14641, 36058], "avg_logprob": -0.2173437449336052, "compression_ratio": 1.3461538461538463, "no_speech_prob": 0.0, "words": [{"start": 2434.91, "end": 2435.31, "word": "كيف", "probability": 0.807861328125}, {"start": 2435.31, "end": 2435.61, "word": " بدنا", "probability": 0.822998046875}, {"start": 2435.61, "end": 2436.29, "word": " نوجد", "probability": 0.7835286458333334}, {"start": 2436.29, "end": 2437.29, "word": " 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الجزية نمر اتنين use the table الجدول اللي اعطاناك فيها المرة اللي فاتت of some basic some basic Laplace transforms", "tokens": [995, 14851, 9778, 40448, 33251, 12984, 13063, 25724, 11622, 10632, 8717, 29973, 1975, 2655, 1863, 9957, 764, 264, 3199, 25724, 3215, 12610, 13672, 1829, 1975, 3615, 9566, 7649, 995, 4117, 8978, 11296, 9673, 25720, 13672, 1829, 6156, 9307, 2655, 295, 512, 3875, 512, 3875, 2369, 6742, 35592], "avg_logprob": -0.22412109530220428, "compression_ratio": 1.3309859154929577, "no_speech_prob": 0.0, "words": [{"start": 2461.39, "end": 2462.25, "word": "استخدم", "probability": 0.95361328125}, {"start": 2462.25, "end": 2463.29, "word": " الكثور", "probability": 0.75341796875}, {"start": 2463.29, "end": 2464.03, "word": " الجزية", "probability": 0.7439778645833334}, {"start": 2464.03, "end": 2465.05, "word": " نمر", "probability": 0.62451171875}, {"start": 2465.05, "end": 2465.81, "word": " اتنين", "probability": 0.8720703125}, {"start": 2465.81, "end": 2467.65, "word": " 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" basic", "probability": 0.9296875}, {"start": 2479.99, "end": 2481.57, "word": " some", "probability": 0.373046875}, {"start": 2481.57, "end": 2482.51, "word": " basic", "probability": 0.94189453125}, {"start": 2482.51, "end": 2484.45, "word": " Laplace", "probability": 0.80810546875}, {"start": 2484.45, "end": 2487.19, "word": " transforms", "probability": 0.83154296875}], "temperature": 1.0}, {"id": 110, "seek": 251609, "start": 2490.23, "end": 2516.09, "text": "transforms in section تسعة تلاتة نمرة تلاتة use the linear property linear property of", "tokens": [24999, 837, 82, 294, 3541, 6055, 3794, 27884, 6055, 1211, 9307, 3660, 8717, 2304, 25720, 6055, 1211, 9307, 3660, 764, 264, 8213, 4707, 8213, 4707, 295], "avg_logprob": -0.2696759215107671, "compression_ratio": 1.2380952380952381, "no_speech_prob": 0.0, "words": [{"start": 2490.23, "end": 2491.63, "word": "transforms", "probability": 0.578125}, {"start": 2491.63, "end": 2492.51, "word": " in", "probability": 0.76171875}, 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"probability": 0.9697265625}], "temperature": 1.0}, {"id": 111, "seek": 254498, "start": 2516.77, "end": 2544.99, "text": "الإنفرس يعني زي ما الابلاس ترانسفورم لو خاصية ال linearity فجذلك معكوسه لو خاصية ال linearity يبقى example one find the function f of t that is", "tokens": [6027, 28814, 1863, 5172, 2288, 3794, 37495, 22653, 30767, 1829, 19446, 2423, 16758, 15040, 3794, 6055, 2288, 7649, 3794, 5172, 13063, 2304, 45164, 16490, 33546, 10632, 2423, 8213, 507, 6156, 7435, 8848, 23275, 20449, 4117, 41779, 3224, 45164, 16490, 33546, 10632, 2423, 8213, 507, 7251, 3555, 4587, 7578, 1365, 472, 915, 264, 2445, 283, 295, 256, 300, 307], "avg_logprob": -0.3559321892463555, "compression_ratio": 1.389261744966443, "no_speech_prob": 0.0, "words": [{"start": 2516.77, "end": 2518.09, "word": "الإنفرس", "probability": 0.5081990559895834}, {"start": 2518.09, "end": 2519.05, "word": " يعني", "probability": 0.76611328125}, {"start": 2519.05, "end": 2519.33, "word": " زي", "probability": 0.897216796875}, {"start": 2519.33, "end": 2519.45, "word": " ما", "probability": 0.72265625}, {"start": 2519.45, "end": 2519.85, "word": " الابلاس", "probability": 0.339569091796875}, {"start": 2519.85, "end": 2520.91, "word": " ترانسفورم", "probability": 0.7188546316964286}, {"start": 2520.91, "end": 2521.19, "word": " لو", "probability": 0.8525390625}, {"start": 2521.19, "end": 2521.79, "word": " خاصية", "probability": 0.97900390625}, {"start": 2521.79, "end": 2521.97, "word": " ال", "probability": 0.91015625}, {"start": 2521.97, "end": 2522.59, "word": " linearity", "probability": 0.659423828125}, {"start": 2522.59, "end": 2523.17, "word": " فجذلك", "probability": 0.680419921875}, {"start": 2523.17, "end": 2524.07, "word": " معكوسه", "probability": 0.795166015625}, {"start": 2524.07, "end": 2524.73, "word": " لو", "probability": 0.97802734375}, {"start": 2524.73, "end": 2525.67, "word": " خاصية", "probability": 0.9864908854166666}, {"start": 2525.67, "end": 2526.17, "word": " ال", "probability": 0.96435546875}, {"start": 2526.17, "end": 2527.15, "word": " linearity", "probability": 0.95361328125}, {"start": 2527.15, "end": 2528.55, "word": " يبقى", "probability": 0.9552001953125}, {"start": 2528.55, "end": 2529.47, "word": " example", "probability": 0.83642578125}, {"start": 2529.47, "end": 2531.93, "word": " one", "probability": 0.81494140625}, {"start": 2531.93, "end": 2534.79, "word": " find", "probability": 0.8212890625}, {"start": 2534.79, "end": 2536.67, "word": " the", "probability": 0.84521484375}, {"start": 2536.67, "end": 2537.61, "word": " function", "probability": 0.96923828125}, {"start": 2537.61, "end": 2540.49, "word": " f", "probability": 0.365478515625}, {"start": 2540.49, "end": 2541.07, "word": " of", "probability": 0.62451171875}, {"start": 2541.07, "end": 2541.61, "word": " t", "probability": 0.7998046875}, {"start": 2541.61, "end": 2544.31, "word": " that", "probability": 0.91357421875}, {"start": 2544.31, "end": 2544.99, "word": " is", "probability": 0.966796875}], "temperature": 1.0}, {"id": 112, "seek": 257019, "start": 2546.06, "end": 2570.2, "text": "for if its Laplace transform is ال F of S", "tokens": [2994, 498, 1080, 2369, 6742, 4088, 307, 2423, 479, 295, 318], "avg_logprob": -0.4928385565678279, "compression_ratio": 0.8431372549019608, "no_speech_prob": 0.0, "words": [{"start": 2546.06, "end": 2546.86, "word": "for", "probability": 0.4599609375}, {"start": 2546.86, "end": 2549.7, "word": " if", "probability": 0.255615234375}, {"start": 2549.7, "end": 2554.34, "word": " its", "probability": 0.495849609375}, {"start": 2554.34, "end": 2556.34, "word": " Laplace", "probability": 0.754150390625}, {"start": 2556.34, "end": 2558.5, "word": " transform", "probability": 0.7763671875}, {"start": 2558.5, "end": 2562.18, "word": " is", "probability": 0.86962890625}, {"start": 2562.18, "end": 2568.8, "word": " ال", "probability": 0.416015625}, {"start": 2568.8, "end": 2569.22, "word": " F", "probability": 0.42138671875}, {"start": 2569.22, "end": 2569.62, "word": " of", "probability": 0.74658203125}, {"start": 2569.62, "end": 2570.2, "word": " S", "probability": 0.9423828125}], "temperature": 1.0}, {"id": 113, "seek": 258102, "start": 2571.8, "end": 2581.02, "text": "بتساوي واحد على اس في اس زائد اتنين لكل تربيع", "tokens": [3555, 2655, 3794, 995, 45865, 36764, 24401, 15844, 24525, 8978, 24525, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 5296, 28820, 6055, 2288, 21292, 3615], "avg_logprob": -0.3099999904632568, "compression_ratio": 1.0945945945945945, "no_speech_prob": 0.0, "words": [{"start": 2571.8, "end": 2573.06, "word": "بتساوي", "probability": 0.602001953125}, {"start": 2573.06, "end": 2574.56, "word": " واحد", "probability": 0.87109375}, {"start": 2574.56, "end": 2575.62, "word": " على", "probability": 0.533203125}, {"start": 2575.62, "end": 2576.18, "word": " اس", "probability": 0.68359375}, {"start": 2576.18, "end": 2576.98, "word": " في", "probability": 0.8251953125}, {"start": 2576.98, "end": 2577.54, "word": " اس", "probability": 0.92138671875}, {"start": 2577.54, "end": 2578.92, "word": " زائد", "probability": 0.8517252604166666}, {"start": 2578.92, "end": 2579.48, "word": " اتنين", "probability": 0.9775390625}, {"start": 2579.48, "end": 2580.12, "word": " لكل", "probability": 0.88330078125}, {"start": 2580.12, "end": 2581.02, "word": " تربيع", "probability": 0.7957763671875}], "temperature": 1.0}, {"id": 114, "seek": 262916, "start": 2600.54, "end": 2629.16, "text": "مرة تانية مانا اقعد تعريف ال inverse Laplace transform Laplace transform لو كان الدالة f of t يساوي f of s يعني exist يبقى then Laplace inverse لهذه الدالة كذلك exist وشكله بيعطيني يعني الدالة الأصلية قبل ما ناخد لها Laplace transform هذا اللي هو بيسميه ال inverse Laplace transform", "tokens": [2304, 25720, 6055, 7649, 10632, 3714, 7649, 995, 1975, 4587, 22488, 37279, 16572, 5172, 2423, 17340, 2369, 6742, 4088, 2369, 6742, 4088, 45164, 25961, 32748, 6027, 3660, 283, 295, 256, 7251, 3794, 995, 45865, 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