{"segments": [{"id": 1, "seek": 4347, "start": 20.77, "end": 43.47, "text": "طيب بسم الله الرحمن الرحيم احنا ان شاء الله اليوم يا بنات بدنا نبلش نحكي مش على ال moving average واحد على ال moving average Q بس انا حابب توريكم ال slide هذه عشان المحاضرة السابقة نتذكر مع بعض اللي عملناه يوم ما عملنا ال moving average واحد كيف انه نخليها على ال infinite series في representation AR ماشي؟ AR ال infinity وطبعا بالاخير", "tokens": [9566, 1829, 3555, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 1975, 5016, 8315, 16472, 13412, 16606, 21984, 45595, 20498, 35186, 4724, 8315, 2655, 47525, 8315, 8717, 36150, 8592, 8717, 5016, 4117, 1829, 37893, 15844, 2423, 2684, 4274, 36764, 24401, 15844, 2423, 2684, 4274, 1249, 4724, 3794, 1975, 8315, 11331, 16758, 3555, 6055, 13063, 1829, 24793, 2423, 4137, 29538, 6225, 8592, 7649, 9673, 5016, 46958, 25720, 21136, 16758, 28671, 8717, 2655, 8848, 37983, 20449, 45030, 11242, 13672, 1829, 6225, 42213, 8315, 3224, 7251, 20498, 19446, 6225, 42213, 8315, 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differential equation مين المادة اللي أخدتوها؟ هي بال complex بال differential equation برضه بال differential", "tokens": [2304, 8592, 5551, 9778, 3215, 2655, 14407, 16472, 2655, 14407, 3997, 4386, 3714, 18513, 3660, 2423, 3997, 49429, 6024, 118, 1211, 9566, 7649, 22807, 34051, 25724, 26890, 22807, 37893, 5551, 9778, 3215, 2655, 14407, 25724, 3215, 1863, 22807, 3714, 9957, 29910, 995, 37983, 2423, 16679, 9122, 33911, 8717, 25957, 43761, 22807, 1975, 5016, 8315, 37893, 3714, 18513, 2655, 8315, 4724, 3794, 39896, 39896, 4117, 34051, 16490, 1211, 9957, 1829, 1975, 39648, 3714, 18513, 3660, 15756, 5367, 3714, 9957, 9673, 18513, 3660, 13672, 1829, 5551, 9778, 3215, 2655, 2407, 11296, 22807, 39896, 20666, 3997, 20666, 15756, 5367, 4724, 43042, 3224, 20666, 15756], "avg_logprob": -0.21599264355266795, "compression_ratio": 1.9107981220657277, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2051.56, "end": 2051.82, "word": "مش", "probability": 0.5693359375}, {"start": 2051.82, 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هيطلع فيهم complex هذا مثال تطبيقي يا بنات صعب يدويا انا احسب ال roots تبعوني moving average أربعة ولا شو رأيكم؟ يعني انا لما بدي اطلب منكوا في الجبر الخطي ممكن تعملوه", "tokens": [45340, 16095, 2423, 2445, 24525, 2304, 11296, 1072, 29538, 1975, 46456, 9381, 9640, 11296, 10088, 39894, 7435, 1829, 3555, 2423, 10669, 6055, 3555, 3615, 11536, 1829, 13672, 1829, 31439, 13672, 1829, 23032, 1211, 3615, 14407, 20449, 995, 4117, 1829, 39894, 7435, 1829, 3555, 23275, 3714, 9957, 5551, 4117, 26890, 9154, 2423, 14407, 24401, 4032, 2304, 9957, 5551, 11622, 2288, 3615, 9154, 36764, 24401, 5296, 33456, 3224, 8032, 1829, 9566, 1211, 3615, 8978, 16095, 3997, 23758, 50113, 6027, 6055, 9566, 21292, 38436, 35186, 4724, 8315, 2655, 20328, 3615, 3555, 7251, 3215, 2407, 25528, 1975, 8315, 1975, 5016, 35457, 2423, 10669, 6055, 3555, 3615, 11536, 1829, 2684, 4274, 5551, 25513, 27884, 49429, 13412, 2407, 12602, 10721, 1829, 24793, 22807, 37495, 22653, 1975, 8315, 5296, 15042, 4724, 16254, 1975, 9566, 46152, 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بطريقتين الطريقة اللي زي ما انا عملتها قبل قليل انا وهي تضرب بالمعكيس وتسويهم ببعض زي اللوحة ده اه", "tokens": [39648, 4117, 14407, 5296, 15042, 16472, 11242, 25513, 2655, 14407, 4724, 2304, 3615, 4117, 41779, 6055, 3555, 3615, 3714, 9957, 2423, 9725, 20328, 5016, 6156, 8592, 2407, 12602, 10721, 1829, 4117, 14407, 4724, 11296, 16472, 27188, 4117, 25720, 6055, 3555, 3615, 31371, 2423, 8399, 1121, 22733, 8032, 41260, 25513, 8978, 20449, 4117, 41779, 2423, 13107, 3714, 19913, 3555, 2407, 9566, 35525, 19452, 34105, 11331, 38436, 28671, 9122, 8399, 1121, 22733, 1668, 36764, 24401, 4032, 33753, 7578, 8399, 1668, 316, 363, 8978, 8315, 16472, 5016, 43761, 4724, 9566, 16572, 38149, 9957, 41950, 16572, 28671, 13672, 1829, 30767, 1829, 19446, 1975, 8315, 6225, 42213, 2655, 11296, 12174, 36150, 12174, 20292, 1211, 1975, 8315, 37037, 1829, 6055, 11242, 25513, 20666, 2304, 3615, 4117, 1829, 3794, 34683, 3794, 45865, 16095, 4724, 3555, 3615, 11242, 30767, 1829, 13672, 2407, 5016, 3660, 11778, 3224, 1975, 3224], "avg_logprob": -0.2429077980366159, "compression_ratio": 1.8171641791044777, "no_speech_prob": 8.344650268554688e-07, "words": [{"start": 2247.6, "end": 2248.1, "word": "قولكوا", "probability": 0.6484781901041666}, {"start": 2248.1, "end": 2248.74, "word": " لما", "probability": 0.817626953125}, {"start": 2248.74, "end": 2249.24, "word": " انضربتوا", "probability": 0.83984375}, {"start": 2249.24, "end": 2249.84, "word": " بمعكوس", "probability": 0.92490234375}, {"start": 2249.84, "end": 2250.12, "word": " تبع", "probability": 0.8688151041666666}, {"start": 2250.12, "end": 2250.46, "word": " مين", "probability": 0.946533203125}, {"start": 2250.46, "end": 2250.82, "word": " ال", "probability": 0.671875}, {"start": 2250.82, "end": 2251.12, "word": " theta", "probability": 0.1402587890625}, {"start": 2251.12, "end": 2252.28, "word": " صح", "probability": 0.818359375}, {"start": 2252.28, "end": 2253.06, "word": " فشو", "probability": 0.9052734375}, {"start": 2253.06, "end": 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"word": " phi", "probability": 0.22802734375}, {"start": 2257.5, "end": 2258.1, "word": " مظبوط", "probability": 0.9009765625}, {"start": 2258.1, "end": 2259.12, "word": " ولكن", "probability": 0.87060546875}, {"start": 2259.12, "end": 2259.48, "word": " هنا", "probability": 0.8896484375}, {"start": 2259.48, "end": 2260.12, "word": " حقيقة", "probability": 0.92431640625}, {"start": 2260.12, "end": 2260.9, "word": " ك", "probability": 0.98388671875}, {"start": 2260.9, "end": 2261.26, "word": " auto", "probability": 0.65966796875}, {"start": 2261.26, "end": 2261.78, "word": " regressive", "probability": 0.923583984375}, {"start": 2261.78, "end": 2262.22, "word": " order", "probability": 0.9521484375}, {"start": 2262.22, "end": 2263.26, "word": " واحد", "probability": 0.750244140625}, {"start": 2263.26, "end": 2263.78, "word": " وحتى", "probability": 0.7128092447916666}, {"start": 2263.78, "end": 2264.02, "word": " auto", "probability": 0.75146484375}, {"start": 2264.02, "end": 2264.44, "word": " order", "probability": 0.9375}, {"start": 2264.44, "end": 2264.88, "word": " A", "probability": 0.1693115234375}, {"start": 2264.88, "end": 2265.26, "word": " B", "probability": 0.5439453125}, {"start": 2265.26, "end": 2266.18, "word": " فينا", "probability": 0.6884765625}, {"start": 2266.18, "end": 2266.72, "word": " انحله", "probability": 0.6905924479166666}, {"start": 2266.72, "end": 2267.32, "word": " بطريقتين", "probability": 0.9771484375}, {"start": 2267.32, "end": 2267.84, "word": " الطريقة", "probability": 0.87451171875}, {"start": 2267.84, "end": 2268.0, "word": " اللي", "probability": 0.719482421875}, {"start": 2268.0, "end": 2268.22, "word": " زي", "probability": 0.927978515625}, {"start": 2268.22, "end": 2268.3, "word": " ما", "probability": 0.9462890625}, {"start": 2268.3, "end": 2268.42, "word": " انا", "probability": 0.7154541015625}, {"start": 2268.42, "end": 2268.84, "word": " عملتها", "probability": 0.9683837890625}, {"start": 2268.84, "end": 2269.1, "word": " قبل", "probability": 0.99267578125}, {"start": 2269.1, "end": 2269.5, "word": " قليل", "probability": 0.9918619791666666}, {"start": 2269.5, "end": 2269.68, "word": " انا", "probability": 0.5380859375}, {"start": 2269.68, "end": 2269.92, "word": " وهي", "probability": 0.6953125}, {"start": 2269.92, "end": 2270.28, "word": " تضرب", "probability": 0.9192708333333334}, {"start": 2270.28, "end": 2271.18, "word": " بالمعكيس", "probability": 0.7982584635416666}, {"start": 2271.18, "end": 2272.06, "word": " وتسويهم", "probability": 0.8187255859375}, {"start": 2272.06, "end": 2272.5, "word": " ببعض", "probability": 0.9154052734375}, {"start": 2272.5, "end": 2272.68, "word": " زي", "probability": 0.938720703125}, {"start": 2272.68, "end": 2273.36, "word": " اللوحة", "probability": 0.95947265625}, {"start": 2273.36, "end": 2274.04, "word": " ده", "probability": 0.979736328125}, {"start": 2274.04, "end": 2274.38, "word": " اه", "probability": 0.7373046875}], "temperature": 1.0}, {"id": 90, "seek": 230196, "start": 2274.98, "end": 2301.96, "text": "و تطلعي بال coefficients المتساويات مع بعض و خلاصة و هذا صح طبعا او ان شو رأيك حتى نبلش بال auto-regressive و نشوف ال recursive يعني ورا بعض الخطوات اللي ورا بعض خطوة بتقدي لخطوة شو بيعطيكي مثلا نبدأ Xt بتساوي في أو في Xt ناجس واحد زي يبسلون T طيب يا ربي شو رأيك ارفع ال Xt ناجس واحد هذه شو احط بدالها", "tokens": [2407, 6055, 9566, 1211, 3615, 1829, 20666, 31994, 9673, 2655, 3794, 995, 45865, 9307, 20449, 45030, 11242, 4032, 16490, 1211, 33546, 3660, 4032, 23758, 20328, 5016, 23032, 3555, 3615, 995, 1975, 2407, 16472, 13412, 2407, 12602, 10721, 1829, 4117, 11331, 49975, 8717, 36150, 8592, 20666, 8399, 12, 265, 3091, 488, 4032, 8717, 8592, 38688, 2423, 20560, 488, 37495, 22653, 4032, 23557, 45030, 11242, 33962, 9566, 2407, 9307, 13672, 1829, 4032, 23557, 45030, 11242, 16490, 9566, 2407, 3660, 39894, 4587, 16254, 5296, 9778, 9566, 2407, 3660, 13412, 2407, 4724, 40228, 9566, 1829, 4117, 1829, 50113, 15040, 8717, 44510, 10721, 1783, 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الطريقة اللي أخدتها أيام ال moving average هذه الطريقة حتى نشوف طريقة أخرى حتى نكتب ال auto-regressive ك moving average infinity حتى نشوف حل آخر", "tokens": [10721, 5016, 8315, 8032, 1863, 47283, 3215, 3224, 9122, 2304, 7649, 13412, 2407, 10632, 4724, 3794, 31439, 23758, 13412, 2288, 9566, 2423, 13052, 874, 16490, 1211, 11703, 9957, 1829, 8717, 38251, 1829, 3224, 13672, 1829, 31439, 7251, 7435, 3555, 14739, 6055, 30544, 2423, 41435, 5551, 4587, 1211, 9154, 36764, 24401, 37495, 22653, 2423, 36764, 24401, 15844, 41435, 5551, 4117, 26890, 9154, 36764, 24401, 46811, 10943, 39896, 22807, 29538, 23032, 16572, 28671, 20666, 2304, 8315, 35457, 3660, 13672, 1829, 41850, 6225, 42213, 2655, 11296, 41950, 16572, 28671, 16712, 7649, 10632, 39896, 41950, 16572, 28671, 13672, 1829, 5551, 9778, 3215, 2655, 11296, 36632, 10943, 2423, 2684, 4274, 29538, 41950, 16572, 28671, 11331, 49975, 8717, 8592, 38688, 23032, 16572, 28671, 5551, 34740, 7578, 11331, 49975, 8717, 4117, 2655, 3555, 2423, 8399, 12, 265, 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2609.71, "end": 2610.09, "word": " طريقة", "probability": 0.9679361979166666}, {"start": 2610.09, "end": 2610.61, "word": " بالمناسبة", "probability": 0.9876953125}, {"start": 2610.61, "end": 2610.71, "word": " اللي", "probability": 0.964599609375}, {"start": 2610.71, "end": 2610.81, "word": " أنا", "probability": 0.74267578125}, {"start": 2610.81, "end": 2611.15, "word": " عملتها", "probability": 0.960205078125}, {"start": 2611.15, "end": 2611.45, "word": " الطريقة", "probability": 0.9471028645833334}, {"start": 2611.45, "end": 2611.75, "word": " التانية", "probability": 0.9754231770833334}, {"start": 2611.75, "end": 2611.91, "word": " هي", "probability": 0.9560546875}, {"start": 2611.91, "end": 2612.25, "word": " الطريقة", "probability": 0.9739583333333334}, {"start": 2612.25, "end": 2612.43, "word": " اللي", "probability": 0.974609375}, {"start": 2612.43, "end": 2613.11, "word": " أخدتها", "probability": 0.97880859375}, {"start": 2613.11, "end": 2614.15, "word": " أيام", "probability": 0.814697265625}, {"start": 2614.15, "end": 2614.25, "word": " ال", "probability": 0.92041015625}, {"start": 2614.25, "end": 2614.45, "word": " moving", "probability": 0.84716796875}, {"start": 2614.45, "end": 2614.89, "word": " average", "probability": 0.78515625}, {"start": 2614.89, "end": 2615.13, "word": " هذه", "probability": 0.69873046875}, {"start": 2615.13, "end": 2615.57, "word": " الطريقة", "probability": 0.98291015625}, {"start": 2615.57, "end": 2615.79, "word": " حتى", "probability": 0.766845703125}, {"start": 2615.79, "end": 2616.15, "word": " نشوف", "probability": 0.9933268229166666}, {"start": 2616.15, "end": 2617.47, "word": " طريقة", "probability": 0.8050944010416666}, {"start": 2617.47, "end": 2618.01, "word": " أخرى", "probability": 0.9729817708333334}, {"start": 2618.01, "end": 2619.03, "word": " حتى", "probability": 0.90576171875}, {"start": 2619.03, "end": 2619.43, "word": " نكتب", "probability": 0.99267578125}, {"start": 2619.43, "end": 2619.53, "word": " ال", "probability": 0.96484375}, {"start": 2619.53, "end": 2619.75, "word": " auto", "probability": 0.63916015625}, {"start": 2619.75, "end": 2620.29, "word": "-regressive", "probability": 0.812255859375}, {"start": 2620.29, "end": 2620.45, "word": " ك", "probability": 0.9423828125}, {"start": 2620.45, "end": 2620.77, "word": " moving", "probability": 0.609375}, {"start": 2620.77, "end": 2621.23, "word": " average", "probability": 0.740234375}, {"start": 2621.23, "end": 2621.79, "word": " infinity", "probability": 0.6904296875}, {"start": 2621.79, "end": 2622.03, "word": " حتى", "probability": 0.936767578125}, {"start": 2622.03, "end": 2622.33, "word": " نشوف", "probability": 0.99560546875}, {"start": 2622.33, "end": 2622.83, "word": " حل", "probability": 0.954833984375}, {"start": 2622.83, "end": 2623.27, "word": " آخر", "probability": 0.86962890625}], "temperature": 1.0}, {"id": 104, "seek": 263397, "start": 2623.69, "end": 2633.97, "text": "مع اني قادر اتركوا عليكم كواجب بس خليني اعملكوا يعنى ال auto regressive of order واحد في ال backshift operator مش ممكن نكتبها هيك احنا صح؟", "tokens": [2304, 3615, 16472, 1829, 12174, 18513, 2288, 1975, 2655, 31747, 14407, 25894, 24793, 9122, 2407, 26108, 3555, 4724, 3794, 16490, 1211, 9957, 1829, 1975, 25957, 23275, 14407, 37495, 1863, 7578, 2423, 8399, 1121, 22733, 295, 1668, 36764, 24401, 8978, 2423, 646, 47445, 12973, 37893, 3714, 43020, 8717, 4117, 2655, 3555, 11296, 39896, 4117, 1975, 5016, 8315, 20328, 5016, 22807], "avg_logprob": -0.23567707613110542, "compression_ratio": 1.3229813664596273, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 2623.69, "end": 2623.95, "word": "مع", "probability": 0.607666015625}, {"start": 2623.95, "end": 2624.09, "word": " اني", "probability": 0.725341796875}, {"start": 2624.09, "end": 2624.33, "word": " قادر", "probability": 0.7115071614583334}, {"start": 2624.33, "end": 2624.67, "word": " اتركوا", "probability": 0.73492431640625}, {"start": 2624.67, "end": 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2629.63, "end": 2630.01, "word": " في", "probability": 0.8720703125}, {"start": 2630.01, "end": 2630.13, "word": " ال", "probability": 0.80419921875}, {"start": 2630.13, "end": 2630.55, "word": " backshift", "probability": 0.657958984375}, {"start": 2630.55, "end": 2631.07, "word": " operator", "probability": 0.93017578125}, {"start": 2631.07, "end": 2631.27, "word": " مش", "probability": 0.9306640625}, {"start": 2631.27, "end": 2631.57, "word": " ممكن", "probability": 0.98974609375}, {"start": 2631.57, "end": 2632.05, "word": " نكتبها", "probability": 0.9552734375}, {"start": 2632.05, "end": 2632.29, "word": " هيك", "probability": 0.88134765625}, {"start": 2632.29, "end": 2632.61, "word": " احنا", "probability": 0.9775390625}, {"start": 2632.61, "end": 2633.97, "word": " صح؟", "probability": 0.87353515625}], "temperature": 1.0}, {"id": 105, "seek": 265360, "start": 2635.08, "end": 2653.6, "text": "طيب لما أنا أضرب الطرفين يا بنات بمعكوس الواحد ناقص الـ Phi بيه مش أنا بتخلص من هذا الطرف اللي هو ع شمال بالماوس أمامكم بصف بس Xt بتساوي epsilon T على واحد ناقص ال Phi صح؟ هلأ المقام هذا", "tokens": [9566, 1829, 3555, 5296, 15042, 41850, 5551, 11242, 25513, 41950, 28480, 9957, 35186, 4724, 8315, 2655, 4724, 2304, 3615, 4117, 41779, 2423, 14407, 24401, 8717, 995, 4587, 9381, 2423, 39184, 41435, 4724, 1829, 3224, 37893, 41850, 39894, 9778, 1211, 9381, 9154, 23758, 41950, 28480, 13672, 1829, 31439, 6225, 13412, 2304, 6027, 20666, 15042, 41779, 5551, 2304, 10943, 24793, 4724, 9381, 5172, 4724, 3794, 1783, 83, 39894, 3794, 995, 45865, 17889, 314, 15844, 36764, 24401, 8717, 995, 4587, 9381, 2423, 41435, 20328, 5016, 22807, 8032, 1211, 10721, 9673, 4587, 10943, 23758], "avg_logprob": -0.24622252845502163, "compression_ratio": 1.6861702127659575, "no_speech_prob": 2.562999725341797e-06, "words": [{"start": 2635.08, "end": 2635.46, "word": "طيب", "probability": 0.9161783854166666}, {"start": 2635.46, "end": 2635.86, "word": " لما", "probability": 0.877197265625}, {"start": 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0.84912109375}, {"start": 2641.22, "end": 2641.38, "word": " أنا", "probability": 0.6943359375}, {"start": 2641.38, "end": 2641.98, "word": " بتخلص", "probability": 0.9549560546875}, {"start": 2641.98, "end": 2642.14, "word": " من", "probability": 0.98583984375}, {"start": 2642.14, "end": 2642.42, "word": " هذا", "probability": 0.87353515625}, {"start": 2642.42, "end": 2642.92, "word": " الطرف", "probability": 0.987548828125}, {"start": 2642.92, "end": 2643.28, "word": " اللي", "probability": 0.88330078125}, {"start": 2643.28, "end": 2643.5, "word": " هو", "probability": 0.966796875}, {"start": 2643.5, "end": 2643.66, "word": " ع", "probability": 0.63916015625}, {"start": 2643.66, "end": 2644.02, "word": " شمال", "probability": 0.8359375}, {"start": 2644.02, "end": 2644.46, "word": " بالماوس", "probability": 0.7015787760416666}, {"start": 2644.46, "end": 2644.94, "word": " أمامكم", "probability": 0.7877197265625}, {"start": 2644.94, "end": 2645.58, "word": " بصف", "probability": 0.86279296875}, {"start": 2645.58, "end": 2645.88, "word": " بس", "probability": 0.748779296875}, {"start": 2645.88, "end": 2646.34, "word": " Xt", "probability": 0.5770263671875}, {"start": 2646.34, "end": 2647.06, "word": " بتساوي", "probability": 0.809326171875}, {"start": 2647.06, "end": 2647.94, "word": " epsilon", "probability": 0.2412109375}, {"start": 2647.94, "end": 2648.44, "word": " T", "probability": 0.666015625}, {"start": 2648.44, "end": 2649.14, "word": " على", "probability": 0.80224609375}, {"start": 2649.14, "end": 2650.06, "word": " واحد", "probability": 0.957275390625}, {"start": 2650.06, "end": 2650.62, "word": " ناقص", "probability": 0.9949951171875}, {"start": 2650.62, "end": 2650.84, "word": " ال", "probability": 0.56640625}, {"start": 2650.84, "end": 2651.04, "word": " Phi", "probability": 0.55517578125}, {"start": 2651.04, "end": 2652.38, "word": " صح؟", "probability": 0.7970377604166666}, {"start": 2652.38, "end": 2652.64, "word": " هلأ", "probability": 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