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ellipse المعادلة تبعته X تربية علي A تربية زي Y تربية علي B تربية يساوي 1 بدنا نعرف وين ال A وين ال B هذا وين شكله", "tokens": [3555, 1863, 7435, 1829, 6024, 48506, 5296, 1863, 29973, 3224, 1975, 2655, 1863, 9957, 13672, 1829, 31439, 2423, 8284, 48041, 25062, 9566, 3615, 2423, 8315, 4587, 9381, 7251, 3555, 4587, 7578, 2423, 8284, 48041, 9673, 3615, 18513, 37977, 6055, 3555, 34268, 3224, 1783, 6055, 25513, 10632, 25894, 316, 6055, 25513, 10632, 30767, 1829, 398, 6055, 25513, 10632, 25894, 363, 6055, 25513, 10632, 7251, 3794, 995, 45865, 502, 47525, 8315, 8717, 3615, 28480, 4032, 9957, 2423, 316, 4032, 9957, 2423, 363, 23758, 4032, 9957, 13412, 28820, 3224], "avg_logprob": -0.2769396620235224, "compression_ratio": 1.723529411764706, "no_speech_prob": 0.0, "words": [{"start": 2418.6, "end": 2419.64, "word": "بنجي", "probability": 0.331756591796875}, {"start": 2419.64, "end": 2419.9, "word": " الآن", "probability": 0.609375}, {"start": 2419.9, "end": 2420.6, "word": " لنمره", 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2473.2, "end": 2485.1, "text": "إحداثيات النقطة هذه سالب a و zero إذا هنا بحط كبار فاصلة ال a أكبر من b", "tokens": [28814, 24401, 5718, 104, 1829, 9307, 28239, 47432, 3660, 29538, 8608, 6027, 3555, 257, 4032, 4018, 11933, 15730, 34105, 4724, 5016, 9566, 9122, 3555, 9640, 6156, 33546, 37977, 2423, 257, 5551, 4117, 26890, 9154, 272], "avg_logprob": -0.2858072850439284, "compression_ratio": 1.1782178217821782, "no_speech_prob": 0.0, "words": [{"start": 2473.2, "end": 2474.38, "word": "إحداثيات", "probability": 0.8152669270833334}, {"start": 2474.38, "end": 2475.12, "word": " النقطة", "probability": 0.8738606770833334}, {"start": 2475.12, "end": 2475.52, "word": " هذه", "probability": 0.87255859375}, {"start": 2475.52, "end": 2476.6, "word": " سالب", "probability": 0.6464436848958334}, {"start": 2476.6, "end": 2477.32, "word": " a", "probability": 0.5009765625}, {"start": 2477.32, "end": 2477.7, "word": " و", "probability": 0.72900390625}, {"start": 2477.7, "end": 2478.16, "word": " zero", "probability": 0.339599609375}, {"start": 2478.16, "end": 2479.38, "word": " إذا", "probability": 0.7001953125}, {"start": 2479.38, "end": 2480.06, "word": " هنا", "probability": 0.9248046875}, {"start": 2480.06, "end": 2481.18, "word": " بحط", "probability": 0.8759765625}, {"start": 2481.18, "end": 2481.68, "word": " كبار", "probability": 0.6387532552083334}, {"start": 2481.68, "end": 2482.6, "word": " فاصلة", "probability": 0.9734700520833334}, {"start": 2482.6, "end": 2483.02, "word": " ال", "probability": 0.43896484375}, {"start": 2483.02, "end": 2483.6, "word": " a", "probability": 0.83984375}, {"start": 2483.6, "end": 2484.46, "word": " أكبر", "probability": 0.9471028645833334}, {"start": 2484.46, "end": 2484.76, "word": " من", "probability": 0.96728515625}, {"start": 2484.76, "end": 2485.1, "word": " b", "probability": 0.8388671875}], "temperature": 1.0}, {"id": 111, "seek": 251441, "start": 2486.11, "end": 2514.41, "text": "يعني المقام اللي هنا أكبر من المقام اللي هنا طب لو حصل غير هيك إلا كلام تاني سنعرفه بعد قليل زي ما أنت شايف فيه محور كبير وفيه محور صغير يبقى المحور الكبير بسميه ال major axis يبقى هذا هذا بسميه ال major axis المحور الرئيسي", "tokens": [40228, 22653, 9673, 4587, 10943, 13672, 1829, 34105, 5551, 4117, 26890, 9154, 9673, 4587, 10943, 13672, 1829, 34105, 23032, 3555, 45164, 11331, 36520, 32771, 13546, 39896, 4117, 11933, 15040, 28242, 10943, 6055, 7649, 1829, 8608, 1863, 3615, 28480, 3224, 39182, 12174, 20292, 1211, 30767, 1829, 19446, 14739, 2655, 13412, 995, 33911, 8978, 3224, 3714, 5016, 13063, 9122, 3555, 13546, 4032, 41185, 3224, 3714, 5016, 13063, 20328, 17082, 13546, 7251, 3555, 4587, 7578, 9673, 5016, 13063, 33251, 3555, 13546, 4724, 38251, 1829, 3224, 2423, 2563, 10298, 7251, 3555, 4587, 7578, 23758, 23758, 4724, 38251, 1829, 3224, 2423, 2563, 10298, 9673, 5016, 13063, 34892, 19986, 1829, 3794, 1829], "avg_logprob": -0.15216121606737654, "compression_ratio": 2.0157894736842104, "no_speech_prob": 0.0, "words": [{"start": 2486.11, "end": 2486.59, "word": "يعني", "probability": 0.6630859375}, {"start": 2486.59, "end": 2487.25, "word": " المقام", "probability": 0.96875}, {"start": 2487.25, "end": 2487.47, "word": " اللي", "probability": 0.843994140625}, {"start": 2487.47, "end": 2487.77, "word": " هنا", "probability": 0.98291015625}, {"start": 2487.77, "end": 2488.47, "word": " أكبر", "probability": 0.90966796875}, {"start": 2488.47, "end": 2488.73, "word": " من", "probability": 0.98388671875}, {"start": 2488.73, "end": 2489.65, "word": " المقام", "probability": 0.9876302083333334}, {"start": 2489.65, "end": 2490.21, "word": " اللي", "probability": 0.9921875}, {"start": 2490.21, "end": 2490.55, "word": " هنا", "probability": 0.9833984375}, {"start": 2490.55, "end": 2491.37, "word": " طب", "probability": 0.73291015625}, {"start": 2491.37, "end": 2491.61, "word": " لو", "probability": 0.95556640625}, {"start": 2491.61, "end": 2492.01, "word": " حصل", "probability": 0.982421875}, {"start": 2492.01, "end": 2492.29, "word": " غير", "probability": 0.968994140625}, {"start": 2492.29, "end": 2492.73, "word": " هيك", "probability": 0.75}, {"start": 2492.73, "end": 2492.97, "word": " إلا", "probability": 0.4569091796875}, {"start": 2492.97, "end": 2493.47, "word": " كلام", "probability": 0.764892578125}, {"start": 2493.47, "end": 2493.81, "word": " تاني", "probability": 0.9148763020833334}, {"start": 2493.81, "end": 2494.59, "word": " سنعرفه", "probability": 0.98623046875}, {"start": 2494.59, "end": 2495.01, "word": " بعد", "probability": 0.923828125}, {"start": 2495.01, "end": 2495.73, "word": " قليل", "probability": 0.97607421875}, {"start": 2495.73, "end": 2496.65, "word": " زي", "probability": 0.922119140625}, {"start": 2496.65, "end": 2496.73, "word": " ما", "probability": 0.98193359375}, {"start": 2496.73, "end": 2496.93, "word": " أنت", "probability": 0.717529296875}, {"start": 2496.93, "end": 2497.29, "word": " شايف", "probability": 0.9656575520833334}, {"start": 2497.29, "end": 2497.49, "word": " فيه", "probability": 0.49774169921875}, {"start": 2497.49, "end": 2498.33, "word": " محور", "probability": 0.7464192708333334}, {"start": 2498.33, "end": 2498.87, "word": " كبير", "probability": 0.9879557291666666}, {"start": 2498.87, "end": 2499.23, "word": " وفيه", "probability": 0.7848307291666666}, {"start": 2499.23, "end": 2499.99, "word": " محور", "probability": 0.9724934895833334}, {"start": 2499.99, "end": 2501.15, "word": " صغير", "probability": 0.9920247395833334}, {"start": 2501.15, "end": 2501.81, "word": " يبقى", "probability": 0.9083251953125}, {"start": 2501.81, "end": 2502.25, "word": " المحور", "probability": 0.98193359375}, {"start": 2502.25, "end": 2502.65, "word": " الكبير", "probability": 0.9658203125}, {"start": 2502.65, "end": 2503.27, "word": " بسميه", "probability": 0.9605712890625}, {"start": 2503.27, "end": 2503.43, "word": " ال", "probability": 0.275146484375}, {"start": 2503.43, "end": 2503.79, "word": " major", "probability": 0.8974609375}, {"start": 2503.79, "end": 2504.81, "word": " axis", "probability": 0.982421875}, {"start": 2504.81, "end": 2506.03, "word": " يبقى", "probability": 0.9671630859375}, {"start": 2506.03, "end": 2506.43, "word": " هذا", "probability": 0.794921875}, {"start": 2506.43, "end": 2506.97, "word": " هذا", "probability": 0.2142333984375}, {"start": 2506.97, "end": 2508.91, "word": " بسميه", "probability": 0.97998046875}, {"start": 2508.91, "end": 2509.15, "word": " ال", "probability": 0.658203125}, {"start": 2509.15, "end": 2509.73, "word": " major", "probability": 0.95458984375}, {"start": 2509.73, "end": 2511.19, "word": " axis", "probability": 0.98876953125}, {"start": 2511.19, "end": 2512.83, "word": " المحور", "probability": 0.9710286458333334}, {"start": 2512.83, "end": 2514.41, "word": " الرئيسي", "probability": 0.992578125}], "temperature": 1.0}, {"id": 112, "seek": 253865, "start": 2515.47, "end": 2538.65, "text": "أو الـ polar axis المحور القطبي هذا الصغير بسميه الـ minor axis زي ما أخدنا إحداثيات النقطتين هدول بدنا نيجي لإحداث النقطة هذه Zero و B هذه النقطة Zero و سالب B", "tokens": [10721, 2407, 2423, 39184, 12367, 10298, 9673, 5016, 13063, 25062, 9566, 21292, 23758, 31767, 17082, 13546, 4724, 38251, 1829, 3224, 2423, 39184, 6696, 10298, 30767, 1829, 19446, 5551, 9778, 3215, 8315, 11933, 24401, 5718, 104, 1829, 9307, 28239, 47432, 2655, 9957, 8032, 3215, 12610, 47525, 8315, 8717, 1829, 7435, 1829, 5296, 28814, 24401, 5718, 104, 28239, 47432, 3660, 29538, 17182, 4032, 363, 29538, 28239, 47432, 3660, 17182, 4032, 8608, 6027, 3555, 363], "avg_logprob": -0.26733731570309155, "compression_ratio": 1.5914634146341464, "no_speech_prob": 0.0, "words": [{"start": 2515.47, "end": 2515.99, "word": "أو", "probability": 0.72607421875}, {"start": 2515.99, "end": 2516.47, "word": " الـ", "probability": 0.546875}, {"start": 2516.47, "end": 2516.79, "word": " polar", "probability": 0.440185546875}, {"start": 2516.79, "end": 2517.61, "word": " axis", "probability": 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"start": 2786.67, "end": 2815.09, "text": "أكتب صاحب المتغير اللي مقامه أكبر ما يمكن بيكون هو ال major axis المحور الرئيسي طيب، لأ لو الرسم هذا جينا عملنا له shift يبقى شو بده يصير شكل المعادلة؟ يبقى F و shift the ellipse", "tokens": [10721, 4117, 2655, 3555, 20328, 39319, 3555, 9673, 2655, 17082, 13546, 13672, 1829, 3714, 4587, 10943, 3224, 5551, 4117, 26890, 19446, 7251, 43020, 4724, 1829, 30544, 31439, 2423, 2563, 10298, 9673, 5016, 13063, 34892, 19986, 1829, 3794, 1829, 23032, 1829, 3555, 12399, 5296, 10721, 45164, 34892, 38251, 23758, 10874, 1829, 8315, 6225, 42213, 8315, 46740, 5513, 7251, 3555, 4587, 7578, 13412, 2407, 47525, 3224, 7251, 9381, 13546, 13412, 28820, 9673, 3615, 18513, 37977, 22807, 7251, 3555, 4587, 7578, 479, 4032, 5513, 264, 8284, 48041], "avg_logprob": -0.22077205601860495, "compression_ratio": 1.5, "no_speech_prob": 0.0, "words": [{"start": 2786.67, "end": 2787.35, "word": "أكتب", "probability": 0.76055908203125}, {"start": 2787.35, "end": 2787.89, "word": " 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"word": " المحور", "probability": 0.91845703125}, {"start": 2797.05, "end": 2798.81, "word": " الرئيسي", "probability": 0.99169921875}, {"start": 2798.81, "end": 2800.07, "word": " طيب،", "probability": 0.7764892578125}, {"start": 2800.07, "end": 2800.37, "word": " لأ", "probability": 0.4744873046875}, {"start": 2800.37, "end": 2800.57, "word": " لو", "probability": 0.8935546875}, {"start": 2800.57, "end": 2800.97, "word": " الرسم", "probability": 0.959716796875}, {"start": 2800.97, "end": 2801.27, "word": " هذا", "probability": 0.41015625}, {"start": 2801.27, "end": 2801.61, "word": " جينا", "probability": 0.7902018229166666}, {"start": 2801.61, "end": 2802.07, "word": " عملنا", "probability": 0.94482421875}, {"start": 2802.07, "end": 2802.29, "word": " له", "probability": 0.43310546875}, {"start": 2802.29, "end": 2802.89, "word": " shift", "probability": 0.68115234375}, {"start": 2802.89, "end": 2803.67, "word": " يبقى", "probability": 0.8997802734375}, {"start": 2803.67, "end": 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ellipse then its equation is", "tokens": [1211, 2407, 6225, 42213, 8315, 5513, 5296, 2423, 8284, 48041, 550, 1080, 5367, 307], "avg_logprob": -0.5218749841054281, "compression_ratio": 0.8923076923076924, "no_speech_prob": 0.0, "words": [{"start": 2819.22, "end": 2819.56, "word": "لو", "probability": 0.732177734375}, {"start": 2819.56, "end": 2820.0, "word": " عملنا", "probability": 0.9205729166666666}, {"start": 2820.0, "end": 2820.3, "word": " shift", "probability": 0.859375}, {"start": 2820.3, "end": 2820.48, "word": " ل", "probability": 0.1802978515625}, {"start": 2820.48, "end": 2820.56, "word": " ال", "probability": 0.283447265625}, {"start": 2820.56, "end": 2820.94, "word": " ellipse", "probability": 0.51837158203125}, {"start": 2820.94, "end": 2821.48, "word": " then", "probability": 0.396484375}, {"start": 2821.48, "end": 2822.84, "word": " its", "probability": 0.75439453125}, {"start": 2822.84, "end": 2824.52, "word": " equation", "probability": 0.97705078125}, {"start": 2824.52, "end": 2825.58, "word": " is", "probability": 0.9482421875}], "temperature": 1.0}, {"id": 126, "seek": 285336, "start": 2827.28, "end": 2853.36, "text": "هيعني بدى يصير X نقص H الكل تربية على A تربية و Y نقص K الكل تربية على B تربية يساوي واحد where حيث ال H والK is the center of the ellipse", "tokens": [3224, 40228, 22653, 47525, 7578, 7251, 9381, 13546, 1783, 8717, 4587, 9381, 389, 2423, 28820, 6055, 25513, 10632, 15844, 316, 6055, 25513, 10632, 4032, 398, 8717, 4587, 9381, 591, 2423, 28820, 6055, 25513, 10632, 15844, 363, 6055, 25513, 10632, 7251, 3794, 995, 45865, 36764, 24401, 689, 11331, 1829, 12984, 2423, 389, 16070, 42, 307, 264, 3056, 295, 264, 8284, 48041], "avg_logprob": -0.23936987411780436, "compression_ratio": 1.475177304964539, "no_speech_prob": 0.0, "words": [{"start": 2827.2799999999997, "end": 2828.64, "word": "هيعني", "probability": 0.5106608072916666}, {"start": 2828.64, "end": 2829.2, "word": " بدى", "probability": 0.334228515625}, {"start": 2829.2, "end": 2829.64, "word": " يصير", "probability": 0.9469401041666666}, {"start": 2829.64, "end": 2830.14, "word": " X", "probability": 0.4794921875}, {"start": 2830.14, "end": 2830.98, "word": " نقص", "probability": 0.7745768229166666}, {"start": 2830.98, "end": 2831.4, "word": " H", "probability": 0.921875}, {"start": 2831.4, "end": 2832.1, "word": " الكل", "probability": 0.67333984375}, {"start": 2832.1, "end": 2832.84, "word": " تربية", "probability": 0.86083984375}, {"start": 2832.84, "end": 2833.62, "word": " على", "probability": 0.77099609375}, {"start": 2833.62, "end": 2833.88, "word": " A", "probability": 0.447265625}, {"start": 2833.88, "end": 2834.52, "word": " تربية", "probability": 0.9410807291666666}, {"start": 2834.52, "end": 2835.16, "word": " و", "probability": 0.7822265625}, {"start": 2835.16, "end": 2835.42, "word": " Y", "probability": 0.457275390625}, {"start": 2835.42, "end": 2836.0, "word": " نقص", "probability": 0.9306640625}, {"start": 2836.0, "end": 2836.24, "word": " K", "probability": 0.96240234375}, {"start": 2836.24, "end": 2836.7, "word": " الكل", "probability": 0.83740234375}, {"start": 2836.7, "end": 2837.4, "word": " تربية", "probability": 0.9788411458333334}, {"start": 2837.4, "end": 2838.06, "word": " على", "probability": 0.857421875}, {"start": 2838.06, "end": 2838.34, "word": " B", "probability": 0.705078125}, {"start": 2838.34, "end": 2838.9, "word": " تربية", "probability": 0.9822591145833334}, {"start": 2838.9, "end": 2839.5, "word": " يساوي", "probability": 0.8895263671875}, {"start": 2839.5, "end": 2840.18, "word": " واحد", "probability": 0.935546875}, {"start": 2840.18, "end": 2841.82, "word": " where", "probability": 0.477783203125}, {"start": 2841.82, "end": 2842.88, "word": " حيث", "probability": 0.95751953125}, {"start": 2842.88, "end": 2843.7, "word": " ال", "probability": 0.91259765625}, {"start": 2843.7, "end": 2844.2, "word": " H", "probability": 0.7822265625}, {"start": 2844.2, "end": 2845.54, "word": " والK", "probability": 0.654296875}, {"start": 2845.54, "end": 2846.76, "word": " is", "probability": 0.92626953125}, {"start": 2846.76, "end": 2847.84, "word": " the", "probability": 0.87841796875}, {"start": 2847.84, "end": 2849.52, "word": " center", "probability": 0.86962890625}, {"start": 2849.52, "end": 2851.26, "word": " of", "probability": 0.98681640625}, {"start": 2851.26, "end": 2852.62, "word": " the", "probability": 0.908203125}, {"start": 2852.62, "end": 2853.36, "word": " ellipse", "probability": 0.96435546875}], "temperature": 1.0}, {"id": 127, "seek": 287000, "start": 2856.36, "end": 2870.0, "text": "هيبقى ياله بالصراحة علمائياتي بالنسباله، في عندك center وفي عندك two vertices وفي عندك two فقاعي، بُهرتين", "tokens": [3224, 1829, 3555, 4587, 7578, 7251, 6027, 3224, 20666, 9381, 23557, 5016, 3660, 11203, 2304, 16373, 1829, 9307, 1829, 20666, 1863, 35457, 6027, 3224, 12399, 8978, 43242, 4117, 3056, 4032, 41185, 43242, 4117, 732, 32053, 4032, 41185, 43242, 4117, 732, 6156, 4587, 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