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0.9775390625}], "temperature": 1.0}, {"id": 8, "seek": 20225, "start": 182.97, "end": 202.25, "text": "طبعا هنا polar coordinates بي ار و سيطا ار عبارة عن distance من نقطة O لنقطة P", "tokens": [9566, 3555, 3615, 995, 34105, 12367, 21056, 4724, 1829, 1975, 2288, 4032, 8608, 1829, 9566, 995, 1975, 2288, 6225, 3555, 9640, 3660, 18871, 4560, 9154, 8717, 47432, 3660, 422, 5296, 1863, 47432, 3660, 430], "avg_logprob": -0.5602678775787353, "compression_ratio": 1.14, "no_speech_prob": 1.0728836059570312e-06, "words": [{"start": 182.97, "end": 184.49, "word": "طبعا", "probability": 0.788055419921875}, {"start": 184.49, "end": 184.77, "word": " هنا", "probability": 0.88134765625}, {"start": 184.77, "end": 185.87, "word": " polar", "probability": 0.347412109375}, {"start": 185.87, "end": 186.77, "word": " coordinates", "probability": 0.94091796875}, {"start": 186.77, "end": 189.13, "word": " بي", "probability": 0.5316162109375}, {"start": 189.13, "end": 190.23, "word": " ار", "probability": 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"text": "هذه الـ distance هي عبارة عن R ثتة هي directed angle from the initial point OB برضه هي عبارة عن زاوية من الـ initial ray للخط OB زي ما شوفنا قبل شوية على ده ثتة طب إيش كلمة directed هذه؟ ليش بنقول directed؟ directed ليش؟ الان ال directed لل R و ال directed ل ثتة راح نقول عنهم في هدولة الملاحظة الملاحظة الأولى", "tokens": [3224, 24192, 2423, 39184, 4560, 39896, 6225, 3555, 9640, 3660, 18871, 497, 38637, 2655, 3660, 39896, 12898, 5802, 490, 264, 5883, 935, 35538, 4724, 43042, 3224, 39896, 6225, 3555, 9640, 3660, 18871, 30767, 995, 2407, 10632, 9154, 2423, 39184, 5883, 18592, 24976, 9778, 9566, 35538, 30767, 1829, 19446, 13412, 38688, 8315, 12174, 36150, 13412, 2407, 10632, 15844, 11778, 3224, 38637, 2655, 3660, 23032, 3555, 11933, 1829, 8592, 9122, 19528, 3660, 12898, 29538, 22807, 32239, 8592, 44945, 39648, 12898, 22807, 12898, 32239, 8592, 22807, 2423, 7649, 2423, 12898, 24976, 497, 4032, 2423, 12898, 5296, 38637, 2655, 3660, 12602, 39319, 8717, 39648, 18871, 16095, 8978, 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227.54, "word": " ال", "probability": 0.9423828125}, {"start": 227.54, "end": 227.9, "word": " directed", "probability": 0.72998046875}, {"start": 227.9, "end": 228.24, "word": " لل", "probability": 0.9736328125}, {"start": 228.24, "end": 228.62, "word": " R", "probability": 0.392333984375}, {"start": 228.62, "end": 228.8, "word": " و", "probability": 0.9365234375}, {"start": 228.8, "end": 228.88, "word": " ال", "probability": 0.6142578125}, {"start": 228.88, "end": 229.08, "word": " directed", "probability": 0.806640625}, {"start": 229.08, "end": 229.32, "word": " ل", "probability": 0.626953125}, {"start": 229.32, "end": 229.7, "word": " ثتة", "probability": 0.791748046875}, {"start": 229.7, "end": 229.98, "word": " راح", "probability": 0.830078125}, {"start": 229.98, "end": 230.2, "word": " نقول", "probability": 0.973876953125}, {"start": 230.2, "end": 231.2, "word": " عنهم", "probability": 0.94140625}, {"start": 231.2, "end": 231.38, "word": " في", "probability": 0.90576171875}, {"start": 231.38, "end": 231.96, "word": " هدولة", "probability": 0.7763671875}, {"start": 231.96, "end": 233.58, "word": " الملاحظة", "probability": 0.9607421875}, {"start": 233.58, "end": 234.32, "word": " الملاحظة", "probability": 0.9763671875}, {"start": 234.32, "end": 234.74, "word": " الأولى", "probability": 0.98388671875}], "temperature": 1.0}, {"id": 10, "seek": 25952, "start": 235.1, "end": 259.52, "text": "الزاوية theta is positive when it is measured counter clockwise يبقى لو انا مشيت عكس عقارب الساعة فبتكون theta بالاتجاه الموجب and negative when it is measured clockwise لما امشي مع عقارب الساعة بتكون الزاوية theta بالسالب هي معناه directed angle يعني في إلها اتجاه موجب وإلها اتجاه سالب", "tokens": [6027, 11622, 995, 2407, 10632, 9725, 307, 3353, 562, 309, 307, 12690, 5682, 35790, 7251, 3555, 4587, 7578, 45164, 1975, 8315, 37893, 36081, 6225, 4117, 3794, 6225, 4587, 9640, 3555, 21136, 995, 27884, 6156, 3555, 2655, 30544, 9725, 20666, 9307, 7435, 40294, 9673, 29245, 3555, 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فبنختار", "probability": 0.90888671875}, {"start": 1252.19, "end": 1252.53, "word": " الزاوية", "probability": 0.96103515625}, {"start": 1252.53, "end": 1252.63, "word": " اللي", "probability": 0.7578125}, {"start": 1252.63, "end": 1252.73, "word": " هي", "probability": 0.62109375}, {"start": 1252.73, "end": 1252.85, "word": " في", "probability": 0.787109375}, {"start": 1252.85, "end": 1253.23, "word": " الربع", "probability": 0.7490234375}, {"start": 1253.23, "end": 1253.83, "word": " التالت", "probability": 0.8478190104166666}, {"start": 1253.83, "end": 1254.53, "word": " إذن", "probability": 0.626220703125}, {"start": 1254.53, "end": 1255.25, "word": " النقطة", "probability": 0.93115234375}, {"start": 1255.25, "end": 1255.59, "word": " P2", "probability": 0.870361328125}, {"start": 1255.59, "end": 1255.87, "word": " كل", "probability": 0.93310546875}, {"start": 1255.87, "end": 1256.05, "word": " الـ", "probability": 0.386474609375}, {"start": 1256.05, "end": 1256.21, "word": " polar", "probability": 0.188720703125}, {"start": 1256.21, "end": 1256.93, "word": " coordinates", "probability": 0.623046875}, {"start": 1256.93, "end": 1257.65, "word": " سبعتها", "probability": 0.9073486328125}, {"start": 1257.65, "end": 1257.87, "word": " اللي", "probability": 0.866943359375}, {"start": 1257.87, "end": 1258.03, "word": " هي", "probability": 0.89208984375}, {"start": 1258.03, "end": 1258.45, "word": " 2", "probability": 0.473388671875}, {"start": 1258.45, "end": 1259.63, "word": " بالموجب", "probability": 0.7381591796875}, {"start": 1259.63, "end": 1259.83, "word": " اللي", "probability": 0.847412109375}, {"start": 1259.83, "end": 1260.17, "word": " هي", "probability": 0.9189453125}, {"start": 1260.17, "end": 1260.91, "word": " اتنين", "probability": 0.8037109375}, {"start": 1260.91, "end": 1261.55, "word": " اتنين", "probability": 0.945556640625}], "temperature": 1.0}, {"id": 55, "seek": 127734, "start": 1261.73, "end": 1277.35, "text": "و7π على 6 وبنضيف لها 2 in π و بالسالب اللي هي سالب 2 طبعا قلنا لو كانت الزاوية أكتر من π بروح بطلع بطرح منها بي مش بزود كمان بي لإن زواوية بي بتصير تلتاشر بي على ستة كبيرة كتير يعني لفت مرتين", "tokens": [2407, 22, 4339, 15844, 1386, 46599, 1863, 11242, 33911, 5296, 11296, 568, 294, 4654, 4032, 20666, 3794, 6027, 3555, 13672, 1829, 39896, 8608, 6027, 3555, 568, 23032, 3555, 3615, 995, 12174, 1211, 8315, 45164, 25961, 2655, 6024, 110, 995, 2407, 10632, 5551, 4117, 2655, 2288, 9154, 4654, 4724, 32887, 5016, 4724, 9566, 1211, 3615, 4724, 9566, 2288, 5016, 9154, 11296, 4724, 1829, 37893, 4724, 11622, 23328, 9122, 2304, 7649, 4724, 1829, 5296, 28814, 1863, 30767, 14407, 2407, 10632, 4724, 1829, 39894, 9381, 13546, 6055, 1211, 2655, 33599, 2288, 4724, 1829, 15844, 8608, 2655, 3660, 9122, 3555, 48923, 9122, 2655, 13546, 37495, 22653, 5296, 5172, 2655, 3714, 43500, 9957], "avg_logprob": -0.2907110222982704, "compression_ratio": 1.6818181818181819, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 1261.73, 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"end": 1270.13, "word": " بطرح", "probability": 0.701416015625}, {"start": 1270.13, "end": 1270.37, "word": " منها", "probability": 0.9912109375}, {"start": 1270.37, "end": 1270.67, "word": " بي", "probability": 0.47705078125}, {"start": 1270.67, "end": 1270.99, "word": " مش", "probability": 0.7548828125}, {"start": 1270.99, "end": 1271.43, "word": " بزود", "probability": 0.8525390625}, {"start": 1271.43, "end": 1271.75, "word": " كمان", "probability": 0.8723958333333334}, {"start": 1271.75, "end": 1271.95, "word": " بي", "probability": 0.89306640625}, {"start": 1271.95, "end": 1272.15, "word": " لإن", "probability": 0.69970703125}, {"start": 1272.15, "end": 1272.47, "word": " زواوية", "probability": 0.7425537109375}, {"start": 1272.47, "end": 1272.67, "word": " بي", "probability": 0.759033203125}, {"start": 1272.67, "end": 1273.57, "word": " بتصير", "probability": 0.8043619791666666}, {"start": 1273.57, "end": 1275.13, "word": " تلتاشر", "probability": 0.7861328125}, {"start": 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زائد Y مقصرة لكل تربيه ساوية تسعة الان هنا معادلة بال كارتيزن coordinate بنحولها إلى polar الان نفكر بالأول التربيه هذا", "tokens": [1211, 19452, 1975, 8315, 5296, 15042, 6055, 30544, 6024, 110, 995, 2407, 10632, 1975, 4117, 2655, 2288, 9154, 4724, 47302, 4724, 9566, 2288, 5016, 9154, 11296, 4724, 47302, 1975, 3794, 3224, 1211, 6156, 3555, 9381, 13546, 34105, 4724, 47302, 15844, 8608, 2655, 3660, 30767, 16373, 3215, 1975, 2655, 1863, 9957, 294, 4724, 47302, 5296, 15042, 6055, 30544, 6024, 110, 995, 2407, 10632, 1975, 4117, 2655, 2288, 9154, 4724, 47302, 4724, 9566, 2288, 5016, 4724, 47302, 5296, 15042, 6055, 30544, 6024, 110, 995, 2407, 10632, 1975, 4587, 1211, 9154, 4724, 47302, 4724, 11622, 26895, 4724, 47302, 20666, 39237, 12984, 26895, 2423, 47283, 2288, 915, 257, 12367, 5367, 337, 264, 6329, 1783, 6055, 2288, 21292, 3224, 30767, 16373, 3215, 398, 3714, 4587, 9381, 25720, 5296, 28820, 6055, 2288, 21292, 3224, 8608, 995, 2407, 10632, 6055, 3794, 27884, 2423, 7649, 34105, 20449, 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