{"segments": [{"id": 1, "seek": 4916, "start": 19.98, "end": 49.16, "text": "بسم الله الرحمن الرحيم في محاضرة الصبح اتكلمنا عن بعض التعريفات قلنا لو ال system star كان له حل وحيد او عدد لا نهائي من الحلول بنسمي consistent وإذا كان مالوش حل بنسمي inconsistent واخر حاجة كتبناها two systems are equivalent اتنين بقول عنهم اتنين متكافئين", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 8978, 3714, 5016, 46958, 25720, 31767, 49628, 1975, 2655, 4117, 19528, 8315, 18871, 45030, 11242, 16712, 3615, 16572, 5172, 9307, 12174, 1211, 8315, 45164, 2423, 1185, 3543, 25961, 46740, 11331, 1211, 4032, 5016, 25708, 1975, 2407, 6225, 3215, 3215, 20193, 8717, 3224, 16373, 1829, 9154, 21542, 1211, 12610, 44945, 38251, 1829, 8398, 4032, 28814, 15730, 25961, 3714, 6027, 2407, 8592, 11331, 1211, 44945, 38251, 1829, 36891, 4032, 47283, 2288, 11331, 26108, 3660, 9122, 2655, 3555, 8315, 11296, 732, 3652, 366, 10344, 1975, 2655, 1863, 9957, 4724, 39648, 18871, 16095, 1975, 2655, 1863, 9957, 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ال two systems are equivalent نجي ناخد مثال على ذلك بقول you show that the following two systems are equivalent", "tokens": [28814, 15730, 25961, 5296, 16095, 8717, 36178, 21542, 1211, 12610, 11933, 15730, 2423, 1185, 16247, 12610, 4032, 2423, 1185, 16712, 7649, 1829, 23032, 1211, 3615, 5296, 16095, 8717, 36178, 21542, 1211, 12610, 11933, 15730, 4724, 39648, 18871, 23758, 2423, 732, 3652, 366, 10344, 8717, 7435, 1829, 8717, 47283, 3215, 50113, 6027, 15844, 29910, 23275, 4724, 39648, 291, 855, 300, 264, 3480, 732, 3652, 366, 10344], "avg_logprob": -0.21496211940591986, "compression_ratio": 1.7664670658682635, "no_speech_prob": 0.0, "words": [{"start": 49.44, "end": 49.9, "word": "إذا", "probability": 0.75634765625}, {"start": 49.9, "end": 50.3, "word": " كان", "probability": 0.90087890625}, {"start": 50.3, "end": 50.76, "word": " لهم", "probability": 0.85302734375}, {"start": 50.76, "end": 51.36, "word": " نفس", "probability": 0.98828125}, {"start": 51.36, "end": 51.82, "word": " 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هدول are equivalent بدالي للـ system الأول بدي أحاول أحله بمعنى أخر بيطلع جديش قيمة x1 و جديش قيمة x2 و ال system التاني بيطلع جديش قيمة x1 و x2 بأي طريقة رياضية ممكن تقدر عليها", "tokens": [3555, 9957, 1829, 8315, 16472, 2423, 39184, 732, 3652, 8032, 3215, 12610, 366, 10344, 47525, 6027, 1829, 24976, 39184, 1185, 16247, 12610, 4724, 16254, 5551, 5016, 995, 12610, 5551, 5016, 43761, 4724, 2304, 3615, 1863, 7578, 5551, 34740, 4724, 1829, 9566, 1211, 3615, 10874, 16254, 8592, 12174, 32640, 3660, 2031, 16, 4032, 10874, 16254, 8592, 12174, 32640, 3660, 2031, 17, 4032, 2423, 1185, 16712, 7649, 1829, 4724, 1829, 9566, 1211, 3615, 10874, 16254, 8592, 12174, 32640, 3660, 2031, 16, 4032, 2031, 17, 4724, 10721, 1829, 23032, 16572, 28671, 12602, 1829, 46958, 10632, 3714, 43020, 6055, 28543, 2288, 25894, 11296], "avg_logprob": -0.20515625596046447, "compression_ratio": 1.708994708994709, "no_speech_prob": 0.0, "words": [{"start": 65.94, "end": 66.96, "word": "بينينا", "probability": 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المصفوفة المصفوفة فإن الرقم الأول في هذا الصف الرقم الأول في هذا الصف هو واحد صحيح ويسمى", "tokens": [28814, 15730, 25961, 34105, 4117, 20328, 5172, 32771, 13546, 20328, 5172, 16572, 8978, 9673, 9381, 5172, 38688, 3660, 9673, 9381, 5172, 38688, 3660, 6156, 28814, 1863, 34892, 4587, 2304, 16247, 12610, 8978, 23758, 31767, 5172, 34892, 4587, 2304, 16247, 12610, 8978, 23758, 31767, 5172, 31439, 36764, 24401, 20328, 5016, 1829, 5016, 4032, 1829, 38251, 7578], "avg_logprob": -0.07226562193994011, "compression_ratio": 1.882882882882883, "no_speech_prob": 0.0, "words": [{"start": 663.76, "end": 664.24, "word": "إذا", "probability": 0.927734375}, {"start": 664.24, "end": 664.7, "word": " كان", "probability": 0.98291015625}, {"start": 664.7, "end": 665.26, "word": " هناك", "probability": 0.994140625}, {"start": 665.26, "end": 665.68, "word": " صف", "probability": 0.99560546875}, {"start": 665.68, "end": 666.24, "word": " غير", "probability": 0.986572265625}, {"start": 666.24, "end": 667.06, 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"seek": 80575, "start": 779.59, "end": 805.75, "text": "يمين الرقم واحد اللي هو ال leading ال leading في الصفوف الأولى في الصفوف الأولى النقطة الرابعة", "tokens": [32640, 9957, 34892, 4587, 2304, 36764, 24401, 13672, 1829, 31439, 2423, 5775, 2423, 5775, 8978, 31767, 5172, 38688, 16247, 12610, 7578, 8978, 31767, 5172, 38688, 16247, 12610, 7578, 28239, 47432, 3660, 34892, 16758, 27884], "avg_logprob": -0.06941964030265808, "compression_ratio": 1.5643564356435644, "no_speech_prob": 0.0, "words": [{"start": 779.59, "end": 780.67, "word": "يمين", "probability": 0.870361328125}, {"start": 780.67, "end": 782.93, "word": " الرقم", "probability": 0.9493815104166666}, {"start": 782.93, "end": 785.39, "word": " واحد", "probability": 0.955810546875}, {"start": 785.39, "end": 786.57, "word": " اللي", "probability": 0.93212890625}, {"start": 786.57, "end": 787.59, "word": " هو", "probability": 0.98974609375}, {"start": 787.59, "end": 788.71, "word": " ال", "probability": 0.82958984375}, {"start": 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"والاخيرة العمود الذي يحتوي على الواحد اللي هو ال leading ال leading تكون بقية عناصره أصفرا", "tokens": [2407, 6027, 47283, 48923, 18863, 2304, 23328, 43527, 7251, 33753, 45865, 15844, 2423, 14407, 24401, 13672, 1829, 31439, 2423, 5775, 2423, 5775, 6055, 30544, 4724, 4587, 10632, 18871, 33546, 2288, 3224, 5551, 9381, 5172, 23557], "avg_logprob": -0.0985785625461075, "compression_ratio": 1.3130434782608695, "no_speech_prob": 0.0, "words": [{"start": 807.06, "end": 808.36, "word": "والاخيرة", "probability": 0.864990234375}, {"start": 808.36, "end": 810.18, "word": " العمود", "probability": 0.9599609375}, {"start": 810.18, "end": 812.3, "word": " الذي", "probability": 0.544921875}, {"start": 812.3, "end": 814.54, "word": " يحتوي", "probability": 0.9812825520833334}, {"start": 814.54, "end": 816.36, "word": " على", "probability": 0.89599609375}, {"start": 816.36, "end": 818.16, "word": " الواحد", "probability": 0.9853515625}, {"start": 818.16, "end": 819.06, "word": " اللي", "probability": 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is always consistent شو يعني consistent؟", "tokens": [9566, 1829, 3555, 8717, 47341, 3615, 2423, 28820, 10943, 13672, 1829, 1975, 5016, 8315, 9122, 2655, 3555, 8315, 3224, 11778, 1829, 35186, 4724, 8315, 2655, 4032, 8717, 5172, 16095, 28242, 9122, 19528, 3660, 8978, 3224, 5296, 28814, 1863, 11778, 23557, 14851, 8315, 6024, 48506, 34051, 16247, 2304, 12984, 37977, 9154, 9381, 49401, 15844, 9673, 30241, 20498, 9307, 13672, 1829, 1975, 3615, 9566, 7649, 995, 11296, 34105, 9673, 15040, 5016, 19913, 3660, 39894, 39648, 2423, 42632, 1185, 307, 1009, 8398, 13412, 2407, 37495, 22653, 8398, 22807], "avg_logprob": -0.16397165870943733, "compression_ratio": 1.5885167464114833, "no_speech_prob": 0.0, "words": [{"start": 852.25, "end": 853.15, "word": "طيب", "probability": 0.8523763020833334}, {"start": 853.15, "end": 853.73, "word": " نرجع", "probability": 0.8544921875}, {"start": 853.73, "end": 854.11, "word": " الكلام", "probability": 0.764892578125}, {"start": 854.11, "end": 854.25, "word": " 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فصاعدا بقول ال homogeneous system", "tokens": [10721, 15730, 45164, 25961, 2655, 28242, 36764, 24401, 3660, 8978, 16095, 17182, 23758, 4724, 1829, 38251, 1829, 21542, 1211, 29739, 16254, 3224, 1829, 4032, 13672, 1829, 31439, 4724, 1829, 5016, 4587, 4587, 9154, 9673, 3615, 18513, 37977, 7251, 3555, 4587, 7578, 23758, 20666, 1863, 35457, 3660, 24976, 42632, 45164, 25961, 20328, 5172, 2288, 44381, 5296, 15042, 7251, 30544, 6225, 3215, 3215, 32239, 3794, 20666, 11242, 2288, 13063, 3660, 7251, 3555, 4587, 7578, 9154, 34105, 6156, 9381, 995, 22488, 995, 4724, 39648, 2423, 42632, 1185], "avg_logprob": -0.18584558613160077, "compression_ratio": 1.683673469387755, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 896.36, "end": 896.72, "word": "أذا", "probability": 0.4813232421875}, {"start": 896.72, "end": 896.88, "word": " لو", "probability": 0.6845703125}, {"start": 896.88, "end": 897.2, "word": " كانت", "probability": 0.80126953125}, {"start": 897.2, "end": 897.34, "word": " كل", 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"text": "of the system star is x1 و x2 و x3 يساوي اتنين سالب واحد واحد اتنين و سالب واحد واحد مين اللي بتسأل؟ ايوة خلت صحيح", "tokens": [2670, 264, 1185, 3543, 307, 2031, 16, 4032, 2031, 17, 4032, 2031, 18, 7251, 3794, 995, 45865, 1975, 2655, 1863, 9957, 8608, 6027, 3555, 36764, 24401, 36764, 24401, 1975, 2655, 1863, 9957, 4032, 8608, 6027, 3555, 36764, 24401, 36764, 24401, 3714, 9957, 13672, 1829, 39894, 3794, 10721, 1211, 22807, 1975, 1829, 2407, 3660, 16490, 1211, 2655, 20328, 5016, 1829, 5016], "avg_logprob": -0.2651127049180328, "compression_ratio": 1.4285714285714286, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2328.92, "end": 2329.46, "word": "of", "probability": 0.10552978515625}, {"start": 2329.46, "end": 2331.12, "word": " the", "probability": 0.86474609375}, {"start": 2331.12, "end": 2332.98, "word": " system", "probability": 0.958984375}, {"start": 2332.98, "end": 2335.4, "word": " star", "probability": 0.17919921875}, {"start": 2335.4, "end": 2336.44, 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