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"word": " المهم", "probability": 0.995849609375}, {"start": 90.66, "end": 91.1, "word": " جدا", "probability": 0.997802734375}, {"start": 91.1, "end": 91.76, "word": " انه", "probability": 0.921630859375}, {"start": 91.76, "end": 92.32, "word": " نتعود", "probability": 0.9866943359375}, {"start": 92.32, "end": 93.16, "word": " كيف", "probability": 0.95458984375}, {"start": 93.16, "end": 93.58, "word": " نقرأ", "probability": 0.9666748046875}, {"start": 93.58, "end": 94.24, "word": " النظرية", "probability": 0.965087890625}, {"start": 94.24, "end": 94.8, "word": " كيف", "probability": 0.6304931640625}, {"start": 94.8, "end": 95.2, "word": " نقرأ", "probability": 0.9886474609375}, {"start": 95.2, "end": 95.74, "word": " النظرية", "probability": 0.981689453125}, {"start": 95.74, "end": 95.92, "word": " اللي", "probability": 0.86181640625}, {"start": 95.92, "end": 96.04, "word": " هي", "probability": 0.8447265625}, {"start": 96.04, "end": 96.24, "word": " طبعا", "probability": 0.86199951171875}, {"start": 96.24, "end": 96.56, "word": " نظرية", "probability": 0.9736328125}, {"start": 96.56, "end": 96.84, "word": " فيها", "probability": 0.981201171875}, {"start": 96.84, "end": 97.36, "word": " معطيات", "probability": 0.828125}, {"start": 97.36, "end": 97.62, "word": " وفيها", "probability": 0.83056640625}, {"start": 97.62, "end": 98.2, "word": " استنتاج", "probability": 0.7510579427083334}, {"start": 98.2, "end": 99.04, "word": " والاستنتاج", "probability": 0.8780110677083334}, {"start": 99.04, "end": 99.14, "word": " ده", "probability": 0.7490234375}, {"start": 99.14, "end": 99.4, "word": " بيكون", "probability": 0.9259440104166666}, {"start": 99.4, "end": 100.0, "word": " كقاعدة", "probability": 0.9607421875}, {"start": 100.0, "end": 100.44, "word": " دائما", "probability": 0.9777018229166666}, {"start": 100.44, "end": 101.2, "word": " صحيح", "probability": 0.984619140625}, {"start": 101.2, "end": 102.26, "word": " فنتعود", "probability": 0.933837890625}, {"start": 102.26, "end": 102.46, "word": " في", "probability": 0.9345703125}, {"start": 102.46, "end": 102.64, "word": " هذا", "probability": 0.92138671875}, {"start": 102.64, "end": 102.86, "word": " النوع", "probability": 0.991455078125}, {"start": 102.86, "end": 103.04, "word": " من", "probability": 0.98681640625}, {"start": 103.04, "end": 103.7, "word": " النظريات", "probability": 0.971435546875}, {"start": 103.7, "end": 103.86, "word": " و", "probability": 0.83544921875}, {"start": 103.86, "end": 104.26, "word": " النظريات", "probability": 0.82391357421875}, {"start": 104.26, "end": 104.46, "word": " كل", "probability": 0.95263671875}, {"start": 104.46, "end": 105.1, "word": " الفرياضيات", "probability": 0.8697265625}, {"start": 105.1, "end": 105.2, "word": " اللي", "probability": 0.793212890625}, {"start": 105.2, "end": 105.3, "word": " حد", "probability": 0.892333984375}, {"start": 105.3, "end": 105.46, "word": " يجي", "probability": 0.5908406575520834}, {"start": 105.46, "end": 106.0, "word": " في", "probability": 0.34423828125}, {"start": 106.0, "end": 106.3, "word": " اللي", "probability": 0.947021484375}, {"start": 106.3, "end": 106.44, "word": " هو", "probability": 0.72900390625}, {"start": 106.44, "end": 106.82, "word": " اللي", "probability": 0.941650390625}, {"start": 106.82, "end": 107.46, "word": " دراستنا", "probability": 0.9541015625}, {"start": 107.46, "end": 108.04, "word": " التالية", "probability": 0.89111328125}, {"start": 108.04, "end": 108.2, "word": " ان", "probability": 0.73046875}, {"start": 108.2, "end": 108.38, "word": " شاء", "probability": 0.97119140625}, {"start": 108.38, "end": 108.52, "word": " الله", "probability": 0.962890625}, {"start": 108.52, "end": 109.28, "word": " كيف", "probability": 0.97900390625}, {"start": 109.28, "end": 109.5, "word": " بدنا", "probability": 0.922607421875}, {"start": 109.5, "end": 109.84, "word": " نقرأ", "probability": 0.9547119140625}, {"start": 109.84, "end": 110.42, "word": " النظرية", "probability": 0.9833984375}, {"start": 110.42, "end": 111.18, "word": " فنشوف", "probability": 0.9796142578125}, {"start": 111.18, "end": 111.34, "word": " ان", "probability": 0.63330078125}, {"start": 111.34, "end": 111.76, "word": " النظرية", "probability": 0.91796875}, {"start": 111.76, "end": 111.94, "word": " هنا", "probability": 0.9345703125}, {"start": 111.94, "end": 112.46, "word": " بدت", "probability": 0.969970703125}, {"start": 112.46, "end": 114.04, "word": " بتقديم", "probability": 0.939697265625}], "temperature": 1.0}, {"id": 5, "seek": 13247, "start": 114.43, "end": 132.47, "text": "let b and q be any two statements اه هنا ايش بيعني هذه الجملة؟ هنا جملة بتمهدلي ان انا هستخدم رمزين small b وsmall q فهنا بتقول هدول اللي هيش بيرمزه وده سياسة عامة في الرياضيات", "tokens": [2631, 272, 293, 9505, 312, 604, 732, 12363, 1975, 3224, 34105, 1975, 1829, 8592, 4724, 40228, 22653, 29538, 25724, 2304, 37977, 22807, 34105, 10874, 2304, 37977, 39894, 2304, 3224, 3215, 20292, 16472, 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119.27, "word": " statements", "probability": 0.89404296875}, {"start": 119.27, "end": 120.11, "word": " اه", "probability": 0.4815673828125}, {"start": 120.11, "end": 120.61, "word": " هنا", "probability": 0.8583984375}, {"start": 120.61, "end": 120.99, "word": " ايش", "probability": 0.7588704427083334}, {"start": 120.99, "end": 121.29, "word": " بيعني", "probability": 0.7877604166666666}, {"start": 121.29, "end": 121.47, "word": " هذه", "probability": 0.375732421875}, {"start": 121.47, "end": 121.71, "word": " الجملة؟", "probability": 0.81304931640625}, {"start": 121.71, "end": 121.85, "word": " هنا", "probability": 0.546875}, {"start": 121.85, "end": 122.29, "word": " جملة", "probability": 0.95947265625}, {"start": 122.29, "end": 123.75, "word": " بتمهدلي", "probability": 0.84375}, {"start": 123.75, "end": 123.93, "word": " ان", "probability": 0.8349609375}, {"start": 123.93, "end": 124.11, "word": " انا", "probability": 0.965087890625}, {"start": 124.11, "end": 124.67, "word": " هستخدم", "probability": 0.9161376953125}, {"start": 124.67, "end": 125.29, "word": " رمزين", "probability": 0.95166015625}, {"start": 125.29, "end": 126.11, "word": " small", "probability": 0.39306640625}, {"start": 126.11, "end": 126.55, "word": " b", "probability": 0.6484375}, {"start": 126.55, "end": 127.61, "word": " وsmall", "probability": 0.7447102864583334}, {"start": 127.61, "end": 127.89, "word": " q", "probability": 0.943359375}, {"start": 127.89, "end": 128.69, "word": " فهنا", "probability": 0.9261067708333334}, {"start": 128.69, "end": 128.99, "word": " بتقول", "probability": 0.96435546875}, {"start": 128.99, "end": 129.27, "word": " هدول", "probability": 0.7233072916666666}, {"start": 129.27, "end": 129.39, "word": " اللي", "probability": 0.927490234375}, {"start": 129.39, "end": 129.61, "word": " هيش", "probability": 0.4532470703125}, {"start": 129.61, "end": 130.19, "word": " بيرمزه", "probability": 0.81845703125}, {"start": 130.19, "end": 130.63, "word": " وده", "probability": 0.5869140625}, {"start": 130.63, "end": 131.61, "word": " سياسة", "probability": 0.8819580078125}, {"start": 131.61, "end": 131.97, "word": " عامة", "probability": 0.9969075520833334}, {"start": 131.97, "end": 132.09, "word": " في", "probability": 0.9169921875}, {"start": 132.09, "end": 132.47, "word": " الرياضيات", "probability": 0.95625}], "temperature": 1.0}, {"id": 6, "seek": 15733, "start": 132.55, "end": 157.33, "text": "لما نستخدم رمز لازم نحدد ليش برمز هل هو ال P هنا عدد ولا مجموعة ولا إيش نوحة فبقول هنا ال P و ال Q statements هذه النقطة الأولى بدنا ننتبه إليها وهذا السياسة عامة في قرائتكوا لأي نظرية لازم تتبعوا لها الكلام النقطة التانية جالي any statements وحقيقة في .. لقدام شوية هنبطل نحكي any المهم هنا إيش بيحكي أنه بيقولي أي قانون في هذه النظرية", "tokens": [1211, 15042, 8717, 14851, 9778, 40448, 12602, 2304, 11622, 5296, 31377, 2304, 8717, 24401, 3215, 32239, 8592, 4724, 2288, 2304, 11622, 8032, 1211, 31439, 2423, 430, 34105, 6225, 3215, 3215, 49429, 3714, 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"word": "لما", "probability": 0.786865234375}, {"start": 132.89, "end": 133.33, "word": " نستخدم", "probability": 0.98974609375}, {"start": 133.33, "end": 133.71, "word": " رمز", "probability": 0.9622395833333334}, {"start": 133.71, "end": 134.23, "word": " لازم", "probability": 0.9513346354166666}, {"start": 134.23, "end": 134.57, "word": " نحدد", "probability": 0.9495442708333334}, {"start": 134.57, "end": 134.85, "word": " ليش", "probability": 0.5614013671875}, {"start": 134.85, "end": 135.21, "word": " برمز", "probability": 0.802734375}, {"start": 135.21, "end": 135.55, "word": " هل", "probability": 0.737060546875}, {"start": 135.55, "end": 135.79, "word": " هو", "probability": 0.84423828125}, {"start": 135.79, "end": 135.97, "word": " ال", "probability": 0.90673828125}, {"start": 135.97, "end": 136.11, "word": " P", "probability": 0.1524658203125}, {"start": 136.11, "end": 136.31, "word": " هنا", "probability": 0.92529296875}, {"start": 136.31, "end": 136.79, "word": " عدد", "probability": 0.9791666666666666}, {"start": 136.79, "end": 137.11, "word": " ولا", "probability": 0.626953125}, {"start": 137.11, "end": 137.73, "word": " مجموعة", "probability": 0.94345703125}, {"start": 137.73, "end": 138.13, "word": " ولا", "probability": 0.88525390625}, {"start": 138.13, "end": 138.37, "word": " إيش", "probability": 0.6464029947916666}, {"start": 138.37, "end": 138.73, "word": " نوحة", "probability": 0.9404296875}, {"start": 138.73, "end": 139.09, "word": " فبقول", "probability": 0.7822265625}, {"start": 139.09, "end": 139.29, "word": " هنا", "probability": 0.50390625}, {"start": 139.29, "end": 139.45, "word": " ال", "probability": 0.95068359375}, {"start": 139.45, "end": 139.55, "word": " P", "probability": 0.88330078125}, {"start": 139.55, "end": 139.69, "word": " و", "probability": 0.79638671875}, {"start": 139.69, "end": 139.75, "word": " ال", "probability": 0.8291015625}, {"start": 139.75, "end": 139.97, "word": " Q", "probability": 0.95654296875}, {"start": 139.97, "end": 140.51, "word": " statements", "probability": 0.87841796875}, {"start": 140.51, "end": 140.77, "word": " هذه", "probability": 0.80224609375}, {"start": 140.77, "end": 141.11, "word": " النقطة", "probability": 0.9794921875}, {"start": 141.11, "end": 141.35, "word": " الأولى", "probability": 0.9845377604166666}, {"start": 141.35, "end": 141.57, "word": " بدنا", "probability": 0.638427734375}, {"start": 141.57, "end": 141.95, "word": " ننتبه", "probability": 0.8983154296875}, {"start": 141.95, "end": 142.29, "word": " إليها", "probability": 0.7306315104166666}, {"start": 142.29, "end": 142.75, "word": " وهذا", "probability": 0.5521240234375}, {"start": 142.75, "end": 143.21, "word": " السياسة", "probability": 0.8421630859375}, {"start": 143.21, "end": 143.49, "word": " عامة", "probability": 0.9729817708333334}, {"start": 143.49, "end": 143.61, "word": " في", "probability": 0.986328125}, {"start": 143.61, "end": 144.35, "word": " قرائتكوا", "probability": 0.6236368815104166}, {"start": 144.35, "end": 144.51, "word": " لأي", "probability": 0.9065755208333334}, {"start": 144.51, "end": 144.85, "word": " نظرية", "probability": 0.98828125}, {"start": 144.85, "end": 145.09, "word": " لازم", "probability": 0.9939778645833334}, {"start": 145.09, "end": 145.45, "word": " تتبعوا", "probability": 0.77392578125}, {"start": 145.45, "end": 145.55, "word": " لها", "probability": 0.88037109375}, {"start": 145.55, "end": 146.07, "word": " الكلام", "probability": 0.76220703125}, {"start": 146.07, "end": 146.75, "word": " النقطة", "probability": 0.9778645833333334}, {"start": 146.75, "end": 146.99, "word": " التانية", "probability": 0.9192708333333334}, {"start": 146.99, "end": 147.25, "word": " جالي", "probability": 0.70654296875}, {"start": 147.25, "end": 147.41, "word": " any", "probability": 0.374755859375}, {"start": 147.41, "end": 148.13, "word": " statements", "probability": 0.86669921875}, {"start": 148.13, "end": 149.01, "word": " وحقيقة", 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"text": "إيش يعني قانون تضمين؟ يعني هو جملة شرطية صائبة دائما، مطلقة الصواب، Totology، مظبوط؟ أه، إيش بيقوللي؟ بيقوللي إن الجملة if P then P or Q دائما صحيحة أو بمعنى آخر P implies P or Q", "tokens": [28814, 1829, 8592, 37495, 22653, 12174, 7649, 11536, 6055, 11242, 2304, 9957, 22807, 37495, 22653, 31439, 10874, 2304, 37977, 13412, 2288, 9566, 10632, 20328, 16373, 49401, 11778, 16373, 15042, 12399, 3714, 9566, 1211, 28671, 31767, 14407, 3555, 12399, 11236, 1793, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 5551, 3224, 12399, 11933, 1829, 8592, 4724, 1829, 39648, 20292, 22807, 4724, 1829, 39648, 20292, 36145, 25724, 2304, 37977, 498, 430, 550, 430, 420, 1249, 11778, 16373, 15042, 20328, 5016, 1829, 5016, 3660, 34051, 4724, 2304, 3615, 1863, 7578, 19753, 34740, 430, 18779, 430, 420, 1249], "avg_logprob": -0.18982712353797668, "compression_ratio": 1.5425531914893618, "no_speech_prob": 0.0, "words": [{"start": 224.22, "end": 224.5, "word": "إيش", "probability": 0.7112630208333334}, 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statement وانتهى ب two statements فأضاف بدأ بجزء وانتهى بجزئين فهي التسمية عشان نتذكر إيش التسمية فهو قانون الإضافة طبعا هذا القانون دائما صح", "tokens": [33, 18779, 363, 420, 1249, 23032, 3555, 3615, 995, 32239, 3794, 16472, 3224, 12174, 7649, 11536, 33688, 11242, 31845, 3660, 5296, 33456, 3224, 47525, 10721, 4724, 5629, 4032, 7649, 47395, 7578, 4724, 732, 12363, 6156, 10721, 11242, 31845, 47525, 10721, 4724, 7435, 11622, 38207, 4032, 7649, 47395, 7578, 4724, 7435, 11622, 19986, 9957, 6156, 3224, 1829, 16712, 38251, 10632, 6225, 8592, 7649, 8717, 2655, 8848, 37983, 11933, 1829, 8592, 16712, 38251, 10632, 6156, 3224, 2407, 12174, 7649, 11536, 33688, 11242, 31845, 3660, 23032, 3555, 3615, 995, 23758, 25062, 7649, 11536, 11778, 16373, 15042, 20328, 5016], "avg_logprob": -0.19482422464837632, "compression_ratio": 1.7311827956989247, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 239.79, "end": 240.07, "word": "B", "probability": 0.21923828125}, {"start": 240.07, "end": 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واضح من الجدول ان فعلا البرهان انتهى و ان فعلا انها ايش أتطولجي فنكتب هنا by the table or from the table from the table we see that", "tokens": [10721, 1829, 8608, 33604, 6027, 4386, 1975, 1829, 8608, 33604, 6027, 4386, 1975, 3224, 4032, 46958, 5016, 9154, 2423, 7435, 3215, 12610, 16472, 6156, 3615, 15040, 2423, 26890, 3224, 7649, 16472, 47395, 7578, 4032, 16472, 6156, 3615, 15040, 16472, 11296, 1975, 1829, 8592, 5551, 2655, 9566, 12610, 7435, 1829, 6156, 1863, 4117, 2655, 3555, 34105, 538, 264, 3199, 420, 490, 264, 3199, 490, 264, 3199, 321, 536, 300], "avg_logprob": -0.32925724464914075, "compression_ratio": 1.5369127516778522, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 824.9300000000001, "end": 825.61, "word": "أي", "probability": 0.642333984375}, {"start": 825.61, "end": 826.29, "word": " سؤال", "probability": 0.9837239583333334}, {"start": 826.29, "end": 826.31, "word": " ..", "probability": 0.2626953125}, {"start": 826.31, "end": 827.83, "word": " اي", 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0.53955078125}, {"start": 831.07, "end": 831.37, "word": " فعلا", "probability": 0.770263671875}, {"start": 831.37, "end": 831.63, "word": " انها", "probability": 0.831787109375}, {"start": 831.63, "end": 831.91, "word": " ايش", "probability": 0.8157552083333334}, {"start": 831.91, "end": 832.57, "word": " أتطولجي", "probability": 0.4676717122395833}, {"start": 832.57, "end": 832.99, "word": " فنكتب", "probability": 0.915234375}, {"start": 832.99, "end": 833.35, "word": " هنا", "probability": 0.98974609375}, {"start": 833.35, "end": 834.91, "word": " by", "probability": 0.428466796875}, {"start": 834.91, "end": 835.11, "word": " the", "probability": 0.93603515625}, {"start": 835.11, "end": 835.39, "word": " table", "probability": 0.93310546875}, {"start": 835.39, "end": 835.65, "word": " or", "probability": 0.5302734375}, {"start": 835.65, "end": 836.01, "word": " from", "probability": 0.91796875}, {"start": 836.01, "end": 836.21, "word": " the", "probability": 0.943359375}, {"start": 836.21, "end": 836.59, "word": " table", "probability": 0.9248046875}, {"start": 836.59, "end": 837.51, "word": " from", "probability": 0.39208984375}, {"start": 837.51, "end": 838.65, "word": " the", "probability": 0.912109375}, {"start": 838.65, "end": 839.13, "word": " table", "probability": 0.9140625}, {"start": 839.13, "end": 840.97, "word": " we", "probability": 0.7705078125}, {"start": 840.97, "end": 841.29, "word": " see", "probability": 0.943359375}, {"start": 841.29, "end": 841.73, "word": " that", "probability": 0.95947265625}], "temperature": 1.0}, {"id": 35, "seek": 85905, "start": 843.87, "end": 859.05, "text": "اللي هو ممكن تقبلوا إن هذه طول الجهاد المطلوب أو الـ implies كله صح اللي بريحكم البلون بعبر على إنه إيش الحل انتهى implies الـQ وهو المطلوب أي سؤال؟", "tokens": [6027, 20292, 31439, 3714, 43020, 6055, 4587, 36150, 14407, 36145, 29538, 23032, 12610, 25724, 11296, 3215, 9673, 9566, 1211, 37746, 34051, 2423, 39184, 18779, 28242, 3224, 20328, 5016, 13672, 1829, 4724, 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846.33, "word": " المطلوب", "probability": 0.9888916015625}, {"start": 846.33, "end": 846.65, "word": " أو", "probability": 0.95166015625}, {"start": 846.65, "end": 846.89, "word": " الـ", "probability": 0.5167236328125}, {"start": 846.89, "end": 848.25, "word": " implies", "probability": 0.2215576171875}, {"start": 848.25, "end": 848.57, "word": " كله", "probability": 0.763916015625}, {"start": 848.57, "end": 848.83, "word": " صح", "probability": 0.99462890625}, {"start": 848.83, "end": 849.63, "word": " اللي", "probability": 0.827880859375}, {"start": 849.63, "end": 850.13, "word": " بريحكم", "probability": 0.942626953125}, {"start": 850.13, "end": 850.45, "word": " البلون", "probability": 0.4435831705729167}, {"start": 850.45, "end": 850.89, "word": " بعبر", "probability": 0.569580078125}, {"start": 850.89, "end": 851.05, "word": " على", "probability": 0.58642578125}, {"start": 851.05, "end": 851.35, "word": " إنه", "probability": 0.611328125}, {"start": 851.35, "end": 851.69, 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{"start": 1919.52, "end": 1920.2, "word": " الخطوة", "probability": 0.948974609375}, {"start": 1920.2, "end": 1920.68, "word": " زى", "probability": 0.864501953125}, {"start": 1920.68, "end": 1920.76, "word": " ما", "probability": 0.96142578125}, {"start": 1920.76, "end": 1921.14, "word": " حكينا", "probability": 0.969970703125}, {"start": 1921.14, "end": 1921.86, "word": " بدنا", "probability": 0.980224609375}, {"start": 1921.86, "end": 1922.24, "word": " نحدد", "probability": 0.9908854166666666}, {"start": 1922.24, "end": 1922.8, "word": " السؤال", "probability": 0.9933268229166666}, {"start": 1922.8, "end": 1923.52, "word": " وبعدين", "probability": 0.8008626302083334}, {"start": 1923.52, "end": 1923.9, "word": " نحدد", "probability": 0.9827473958333334}, {"start": 1923.9, "end": 1924.44, "word": " الطريقة", "probability": 0.9886067708333334}, {"start": 1924.44, "end": 1925.22, "word": " ونطبق", "probability": 0.92109375}, {"start": 1925.22, "end": 1925.9, "word": " ونشوف", 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"probability": 0.734375}, {"start": 1929.9, "end": 1930.18, "word": " we", "probability": 0.319091796875}, {"start": 1930.18, "end": 1930.44, "word": " want", "probability": 0.9306640625}, {"start": 1930.44, "end": 1930.54, "word": " to", "probability": 0.97998046875}, {"start": 1930.54, "end": 1930.78, "word": " show", "probability": 0.970703125}, {"start": 1930.78, "end": 1931.08, "word": " ال", "probability": 0.61572265625}, {"start": 1931.08, "end": 1931.44, "word": " statement", "probability": 0.91455078125}, {"start": 1931.44, "end": 1931.78, "word": " هادي", "probability": 0.671875}, {"start": 1931.78, "end": 1932.22, "word": " تكافئ", "probability": 0.771942138671875}, {"start": 1932.22, "end": 1932.32, "word": " ال", "probability": 0.8505859375}, {"start": 1932.32, "end": 1932.58, "word": " statement", "probability": 0.94189453125}, {"start": 1932.58, "end": 1932.92, "word": " هادي", "probability": 0.8634440104166666}, {"start": 1932.92, "end": 1933.42, "word": " فإذا", "probability": 0.8406575520833334}, {"start": 1933.42, "end": 1934.02, "word": " السؤال", "probability": 0.9947916666666666}, {"start": 1934.02, "end": 1934.74, "word": " we", "probability": 0.82421875}, {"start": 1934.74, "end": 1935.3, "word": " want", "probability": 0.931640625}], "temperature": 1.0}, {"id": 81, "seek": 196604, "start": 1936.42, "end": 1966.04, "text": "to show that if B then Q is equivalent to if not Q then not B تمام ايش الأداة truth table we will use truth tables هنستخدم جدول فنعمل جدول مع بعض", "tokens": [1353, 855, 300, 498, 363, 550, 1249, 307, 10344, 281, 498, 406, 1249, 550, 406, 363, 46811, 10943, 1975, 1829, 8592, 16247, 28259, 3660, 3494, 3199, 321, 486, 764, 3494, 8020, 8032, 1863, 14851, 9778, 40448, 10874, 3215, 12610, 6156, 1863, 25957, 1211, 10874, 3215, 12610, 20449, 45030, 11242], "avg_logprob": -0.21609374552965163, "compression_ratio": 1.2708333333333333, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1936.42, "end": 1936.62, "word": "to", "probability": 0.304443359375}, {"start": 1936.62, "end": 1937.02, "word": " show", "probability": 0.9482421875}, {"start": 1937.02, "end": 1938.64, "word": " that", "probability": 0.8994140625}, {"start": 1938.64, "end": 1940.26, "word": " if", "probability": 0.92138671875}, {"start": 1940.26, "end": 1940.56, "word": " B", "probability": 0.447021484375}, {"start": 1940.56, "end": 1940.86, "word": " then", "probability": 0.74755859375}, {"start": 1940.86, "end": 1941.26, "word": " Q", "probability": 0.8828125}, {"start": 1941.26, "end": 1942.1, "word": " is", "probability": 0.94482421875}, {"start": 1942.1, "end": 1942.8, "word": " equivalent", "probability": 0.9345703125}, {"start": 1942.8, "end": 1946.86, "word": " to", "probability": 0.90576171875}, {"start": 1946.86, "end": 1947.74, "word": " if", "probability": 0.90478515625}, {"start": 1947.74, "end": 1948.0, "word": " not", "probability": 0.931640625}, {"start": 1948.0, "end": 1948.44, "word": " Q", "probability": 0.744140625}, {"start": 1948.44, "end": 1949.22, "word": " then", "probability": 0.75439453125}, {"start": 1949.22, "end": 1949.88, "word": " not", "probability": 0.9111328125}, {"start": 1949.88, "end": 1950.56, "word": " B", "probability": 0.83447265625}, {"start": 1950.56, "end": 1952.44, "word": " تمام", "probability": 0.83837890625}, {"start": 1952.44, "end": 1953.1, "word": " ايش", "probability": 0.70654296875}, {"start": 1953.1, "end": 1953.94, "word": " الأداة", "probability": 0.7657877604166666}, {"start": 1953.94, "end": 1955.26, "word": " truth", "probability": 0.80078125}, {"start": 1955.26, "end": 1955.7, "word": " table", "probability": 0.7412109375}, {"start": 1955.7, "end": 1956.68, "word": " we", "probability": 0.56494140625}, {"start": 1956.68, "end": 1958.22, "word": " will", "probability": 0.92138671875}, {"start": 1958.22, "end": 1959.74, "word": " use", "probability": 0.88427734375}, {"start": 1959.74, "end": 1961.46, "word": " truth", "probability": 0.916015625}, {"start": 1961.46, "end": 1962.96, "word": " tables", "probability": 0.72802734375}, {"start": 1962.96, "end": 1963.74, "word": " هنستخدم", "probability": 0.895703125}, {"start": 1963.74, "end": 1964.1, "word": " جدول", "probability": 0.9580078125}, {"start": 1964.1, "end": 1965.28, "word": " فنعمل", "probability": 0.756195068359375}, {"start": 1965.28, "end": 1965.56, "word": " جدول", "probability": 0.9905598958333334}, {"start": 1965.56, "end": 1965.72, "word": " مع", "probability": 0.98828125}, {"start": 1965.72, "end": 1966.04, "word": " بعض", "probability": 0.9951171875}], "temperature": 1.0}, {"id": 82, "seek": 199361, "start": 1967.57, "end": 1993.61, "text": "هذا كان statement أساسية بين 2 بي Q أربع احتمالات true true false false العمودي التاني true false true false", "tokens": [3224, 15730, 25961, 5629, 5551, 3794, 32277, 10632, 49374, 568, 4724, 1829, 1249, 5551, 25513, 3615, 1975, 33753, 2304, 6027, 9307, 2074, 2074, 7908, 7908, 18863, 2304, 2407, 16254, 16712, 7649, 1829, 2074, 7908, 2074, 7908], "avg_logprob": -0.39252534105971054, "compression_ratio": 1.3274336283185841, "no_speech_prob": 0.0, "words": [{"start": 1967.57, "end": 1967.83, "word": "هذا", "probability": 0.41534423828125}, {"start": 1967.83, "end": 1967.93, "word": " كان", "probability": 0.91943359375}, {"start": 1967.93, "end": 1968.29, "word": " statement", "probability": 0.2327880859375}, {"start": 1968.29, "end": 1968.99, "word": " أساسية", "probability": 0.8197021484375}, {"start": 1968.99, "end": 1969.83, "word": " بين", "probability": 0.7626953125}, {"start": 1969.83, "end": 1970.15, "word": " 2", "probability": 0.271728515625}, {"start": 1970.15, "end": 1971.39, "word": " بي", "probability": 0.6243896484375}, {"start": 1971.39, "end": 1972.83, "word": " Q", "probability": 0.10723876953125}, {"start": 1972.83, "end": 1976.09, "word": " أربع", "probability": 0.7576497395833334}, {"start": 1976.09, "end": 1977.57, "word": " احتمالات", "probability": 0.9255859375}, {"start": 1977.57, "end": 1987.23, "word": " true", "probability": 0.35107421875}, {"start": 1987.23, "end": 1988.15, "word": " true", "probability": 0.364013671875}, {"start": 1988.15, "end": 1989.25, "word": " false", "probability": 0.669921875}, {"start": 1989.25, "end": 1989.89, "word": " false", "probability": 0.927734375}, {"start": 1989.89, "end": 1990.31, "word": " العمودي", "probability": 0.8751220703125}, {"start": 1990.31, "end": 1990.79, "word": " التاني", "probability": 0.8933919270833334}, {"start": 1990.79, "end": 1991.37, "word": " true", "probability": 0.9404296875}, {"start": 1991.37, "end": 1991.93, "word": " false", "probability": 0.8515625}, {"start": 1991.93, "end": 1992.65, "word": " true", "probability": 0.97021484375}, {"start": 1992.65, "end": 1993.61, "word": " false", "probability": 0.9306640625}], "temperature": 1.0}, {"id": 83, "seek": 202017, "start": 1994.29, "end": 2020.17, "text": "إيش بدنا نحسب؟ ممكن نحسب B then Q أولا أو بعدين تبهي مش ترتيب أو نعمل النفي، أه؟ خيه نعمل النفي؟ نعم؟ أسهل، أحسنتي، كلامك سليم، فانا أاخد بترتيب اللي اقترحته زملتكم، not Q فبدا تكون false true، false true، بعدين ناخد not B", "tokens": [28814, 1829, 8592, 47525, 8315, 8717, 5016, 35457, 22807, 3714, 43020, 8717, 5016, 35457, 363, 550, 1249, 5551, 12610, 995, 34051, 39182, 9957, 6055, 3555, 3224, 1829, 37893, 6055, 43500, 1829, 3555, 34051, 8717, 25957, 1211, 28239, 41185, 12399, 5551, 3224, 22807, 16490, 1829, 3224, 8717, 25957, 1211, 28239, 41185, 22807, 8717, 25957, 22807, 5551, 3794, 3224, 1211, 12399, 5551, 5016, 3794, 29399, 1829, 12399, 28242, 10943, 4117, 8608, 20292, 2304, 12399, 6156, 7649, 995, 5551, 47283, 3215, 4724, 2655, 2288, 31371, 3555, 13672, 1829, 1975, 38149, 2288, 33753, 3224, 30767, 42213, 2655, 24793, 12399, 406, 1249, 6156, 3555, 28259, 6055, 30544, 7908, 2074, 12399, 7908, 2074, 12399, 39182, 9957, 8717, 47283, 3215, 406, 363], "avg_logprob": -0.2793642210549322, "compression_ratio": 1.7242990654205608, "no_speech_prob": 0.0, "words": [{"start": 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"word": " true", "probability": 0.9248046875}, {"start": 2037.65, "end": 2037.87, "word": " then", "probability": 0.85009765625}, {"start": 2037.87, "end": 2038.23, "word": " true", "probability": 0.9560546875}, {"start": 2038.23, "end": 2038.97, "word": " true", "probability": 0.90185546875}, {"start": 2038.97, "end": 2039.53, "word": " true", "probability": 0.82421875}, {"start": 2039.53, "end": 2039.77, "word": " then", "probability": 0.83984375}, {"start": 2039.77, "end": 2040.21, "word": " false", "probability": 0.87060546875}, {"start": 2040.21, "end": 2041.03, "word": " false", "probability": 0.78076171875}, {"start": 2041.03, "end": 2041.83, "word": " بعدين", "probability": 0.81982421875}, {"start": 2041.83, "end": 2042.05, "word": " الباقى", "probability": 0.61358642578125}, {"start": 2042.05, "end": 2042.27, "word": " true", "probability": 0.99072265625}, {"start": 2042.27, "end": 2042.51, "word": " true", "probability": 0.986328125}], "temperature": 1.0}, {"id": 85, "seek": 205794, "start": 2044.67, "end": 2057.95, "text": "ممتاز نيجي الآن زي اسم اللي اتقدتنا الحقيقة طريقة أسهل بدون أن نرجع لجوع نمشي لقدام false than anything true true than false false false than true true true than true", "tokens": [2304, 2304, 2655, 31377, 8717, 1829, 7435, 1829, 6024, 48506, 30767, 1829, 24525, 2304, 13672, 1829, 1975, 2655, 28543, 2655, 8315, 21542, 38436, 28671, 23032, 16572, 28671, 5551, 3794, 3224, 1211, 47525, 11536, 14739, 8717, 47341, 3615, 5296, 7435, 45367, 8717, 2304, 8592, 1829, 5296, 28543, 10943, 7908, 813, 1340, 2074, 2074, 813, 7908, 7908, 7908, 813, 2074, 2074, 2074, 813, 2074], "avg_logprob": -0.3015873072639344, "compression_ratio": 1.5394736842105263, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2044.67, "end": 2045.33, "word": "ممتاز", "probability": 0.8734130859375}, {"start": 2045.33, "end": 2045.81, "word": " نيجي", "probability": 0.841796875}, {"start": 2045.81, "end": 2046.09, "word": " الآن", "probability": 0.66748046875}, {"start": 2046.09, "end": 2046.29, "word": " زي", "probability": 0.8583984375}, {"start": 2046.29, "end": 2046.77, "word": " اسم", "probability": 0.57647705078125}, {"start": 2046.77, "end": 2046.87, "word": " اللي", "probability": 0.8662109375}, {"start": 2046.87, "end": 2047.27, "word": " اتقدتنا", "probability": 0.75234375}, {"start": 2047.27, "end": 2047.77, "word": " الحقيقة", "probability": 0.9278971354166666}, {"start": 2047.77, "end": 2048.37, "word": " طريقة", "probability": 0.7451171875}, {"start": 2048.37, "end": 2048.63, "word": " أسهل", "probability": 0.85748291015625}, {"start": 2048.63, "end": 2048.81, "word": " بدون", "probability": 0.503173828125}, {"start": 2048.81, "end": 2048.85, "word": " أن", "probability": 0.51513671875}, {"start": 2048.85, "end": 2049.07, "word": " نرجع", "probability": 0.9186197916666666}, {"start": 2049.07, "end": 2049.39, "word": " لجوع", "probability": 0.6037190755208334}, {"start": 2049.39, "end": 2049.67, "word": " نمشي", "probability": 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"probability": 0.92236328125}, {"start": 2056.05, "end": 2056.79, "word": " true", "probability": 0.955078125}, {"start": 2056.79, "end": 2057.37, "word": " true", "probability": 0.84716796875}, {"start": 2057.37, "end": 2057.57, "word": " than", "probability": 0.9072265625}, {"start": 2057.57, "end": 2057.95, "word": " true", "probability": 0.97705078125}], "temperature": 1.0}, {"id": 86, "seek": 208840, "start": 2059.32, "end": 2088.4, "text": "طبعا بالمقارنة واضح انه فعلا متكافئ مافيش داعي نعمل if and only if هذي أسهل الطريقة و احنا هندمد عليها طبعا اللي بتعمل if and only if مش غلط لكن انا ماشي لا أنصح بذلك لإنه بس مجرد وقت الزيادة مش مشكلة فإذا هنا from the table we see that بيه ث�� كيو تكافئ تماما if not كيو then not بيه", "tokens": [9566, 3555, 3615, 995, 20666, 2304, 4587, 9640, 1863, 3660, 4032, 46958, 5016, 16472, 3224, 6156, 3615, 15040, 44650, 4117, 31845, 19986, 19446, 41185, 8592, 11778, 45761, 1829, 8717, 25957, 1211, 498, 293, 787, 498, 8032, 8848, 1829, 5551, 3794, 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0.9671223958333334}, {"start": 2060.64, "end": 2061.04, "word": " انه", "probability": 0.67919921875}, {"start": 2061.04, "end": 2061.5, "word": " فعلا", "probability": 0.779296875}, {"start": 2061.5, "end": 2062.14, "word": " متكافئ", "probability": 0.9832763671875}, {"start": 2062.14, "end": 2062.84, "word": " مافيش", "probability": 0.4270833333333333}, {"start": 2062.84, "end": 2063.12, "word": " داعي", "probability": 0.93798828125}, {"start": 2063.12, "end": 2063.44, "word": " نعمل", "probability": 0.828125}, {"start": 2063.44, "end": 2064.04, "word": " if", "probability": 0.65087890625}, {"start": 2064.04, "end": 2064.26, "word": " and", "probability": 0.9306640625}, {"start": 2064.26, "end": 2064.46, "word": " only", "probability": 0.91845703125}, {"start": 2064.46, "end": 2064.72, "word": " if", "probability": 0.96337890625}, {"start": 2064.72, "end": 2065.1, "word": " هذي", "probability": 0.49365234375}, {"start": 2065.1, "end": 2065.46, "word": " أسهل", "probability": 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0.972412109375}, {"start": 2072.9, "end": 2073.26, "word": " الزيادة", "probability": 0.92861328125}, {"start": 2073.26, "end": 2073.42, "word": " مش", "probability": 0.94091796875}, {"start": 2073.42, "end": 2073.84, "word": " مشكلة", "probability": 0.9059244791666666}, {"start": 2073.84, "end": 2074.28, "word": " فإذا", "probability": 0.7890625}, {"start": 2074.28, "end": 2074.68, "word": " هنا", "probability": 0.97802734375}, {"start": 2074.68, "end": 2075.3, "word": " from", "probability": 0.841796875}, {"start": 2075.3, "end": 2075.54, "word": " the", "probability": 0.9267578125}, {"start": 2075.54, "end": 2075.96, "word": " table", "probability": 0.92724609375}, {"start": 2075.96, "end": 2078.4, "word": " we", "probability": 0.68798828125}, {"start": 2078.4, "end": 2080.08, "word": " see", "probability": 0.93994140625}, {"start": 2080.08, "end": 2080.5, "word": " that", "probability": 0.93896484375}, {"start": 2080.5, "end": 2083.54, "word": " بيه", "probability": 0.3407389322916667}, {"start": 2083.54, "end": 2083.76, "word": " ثم", "probability": 0.6944580078125}, {"start": 2083.76, "end": 2084.28, "word": " كيو", "probability": 0.5823160807291666}, {"start": 2084.28, "end": 2085.4, "word": " تكافئ", "probability": 0.9447021484375}, {"start": 2085.4, "end": 2086.08, "word": " تماما", "probability": 0.98876953125}, {"start": 2086.08, "end": 2086.52, "word": " if", "probability": 0.841796875}, {"start": 2086.52, "end": 2086.78, "word": " not", "probability": 0.9501953125}, {"start": 2086.78, "end": 2087.28, "word": " كيو", "probability": 0.8268229166666666}, {"start": 2087.28, "end": 2087.84, "word": " then", "probability": 0.78857421875}, {"start": 2087.84, "end": 2088.2, "word": " not", "probability": 0.91796875}, {"start": 2088.2, "end": 2088.4, "word": " بيه", "probability": 0.9754231770833334}], "temperature": 1.0}, {"id": 87, "seek": 211105, "start": 2093.43, "end": 2111.05, "text": "أي سؤال فطرق بسيطة وسهلة وبدنا ان شاء الله نتمكن منها في هذا الموضوع Demorgan's laws قوانين العالم Demorgan's", "tokens": [10721, 1829, 8608, 33604, 6027, 6156, 9566, 2288, 4587, 4724, 3794, 1829, 9566, 3660, 46952, 3224, 37977, 4032, 44510, 8315, 16472, 13412, 16606, 21984, 8717, 39237, 19452, 9154, 11296, 8978, 23758, 9673, 2407, 11242, 45367, 4686, 12372, 311, 6064, 12174, 2407, 7649, 9957, 18863, 45340, 4686, 12372, 311], "avg_logprob": -0.20854591836734693, "compression_ratio": 1.2941176470588236, "no_speech_prob": 0.0, "words": [{"start": 2093.43, "end": 2093.89, "word": "أي", "probability": 0.7470703125}, {"start": 2093.89, "end": 2094.43, "word": " سؤال", "probability": 0.9939778645833334}, {"start": 2094.43, "end": 2096.07, "word": " فطرق", "probability": 0.74951171875}, {"start": 2096.07, "end": 2096.63, "word": " بسيطة", "probability": 0.98193359375}, {"start": 2096.63, "end": 2097.13, "word": " وسهلة", "probability": 0.9295247395833334}, {"start": 2097.13, "end": 2098.09, "word": " وبدنا", "probability": 0.6338704427083334}, {"start": 2098.09, "end": 2098.19, "word": " ان", "probability": 0.73291015625}, {"start": 2098.19, "end": 2098.33, "word": " شاء", "probability": 0.979248046875}, {"start": 2098.33, "end": 2098.43, "word": " الله", "probability": 0.9521484375}, {"start": 2098.43, "end": 2098.95, "word": " نتمكن", "probability": 0.9765625}, {"start": 2098.95, "end": 2099.41, "word": " منها", "probability": 0.99609375}, {"start": 2099.41, "end": 2101.03, "word": " في", "probability": 0.9013671875}, {"start": 2101.03, "end": 2101.39, "word": " هذا", "probability": 0.5546875}, {"start": 2101.39, "end": 2104.29, "word": " الموضوع", "probability": 0.9976806640625}, {"start": 2104.29, "end": 2107.99, "word": " Demorgan's", "probability": 0.5855305989583334}, {"start": 2107.99, "end": 2108.51, "word": " laws", "probability": 0.55810546875}, {"start": 2108.51, "end": 2109.23, "word": " قوانين", "probability": 0.90771484375}, {"start": 2109.23, "end": 2109.69, "word": " العالم", "probability": 0.993408203125}, 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