diff --git "a/PL9fwy3NUQKwbZEM9ek26xaPIiL_5tuWy3/NuxXCXL8BVc_raw.json" "b/PL9fwy3NUQKwbZEM9ek26xaPIiL_5tuWy3/NuxXCXL8BVc_raw.json" new file mode 100644--- /dev/null +++ "b/PL9fwy3NUQKwbZEM9ek26xaPIiL_5tuWy3/NuxXCXL8BVc_raw.json" @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 4316, "start": 20.64, "end": 43.16, "text": "بسم الله الرحمن الرحيم عوض على بدء نذكر بما أعطيناه المرة الماضية لأن هذه الكترولري تعتمد على ما درسناه في المحاضرة الماضية المحاضرة الماضية كانت عمود شقري هو نظري تاني النظرية الأولى بتقول لو كانت ال R is commutative ring with unity", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 6225, 2407, 11242, 15844, 47525, 38207, 8717, 8848, 37983, 4724, 15042, 5551, 3615, 9566, 1829, 8315, 3224, 9673, 25720, 9673, 46958, 10632, 5296, 33456, 29538, 33251, 2655, 2288, 12610, 16572, 6055, 34268, 2304, 3215, 15844, 19446, 11778, 2288, 3794, 8315, 3224, 8978, 9673, 5016, 46958, 25720, 9673, 46958, 10632, 9673, 5016, 46958, 25720, 9673, 46958, 10632, 25961, 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{"start": 144.04, "end": 144.84, "word": " ال", "probability": 0.85205078125}, {"start": 144.84, "end": 145.38, "word": " a", "probability": 0.264404296875}, {"start": 145.38, "end": 146.6, "word": " modulo", "probability": 0.711181640625}, {"start": 146.6, "end": 147.14, "word": " a", "probability": 0.908203125}, {"start": 147.14, "end": 148.42, "word": " is", "probability": 0.5458984375}, {"start": 148.42, "end": 149.62, "word": " a", "probability": 0.96875}, {"start": 149.62, "end": 150.18, "word": " field", "probability": 0.92822265625}, {"start": 150.18, "end": 152.86, "word": " طبعا", "probability": 0.7626953125}, {"start": 152.86, "end": 153.76, "word": " احنا", "probability": 0.8131510416666666}, {"start": 153.76, "end": 154.06, "word": " قلنا", "probability": 0.8429361979166666}, {"start": 154.06, "end": 154.44, "word": " قبل", "probability": 0.980712890625}, {"start": 154.44, "end": 154.84, "word": " ذلك", "probability": 0.97802734375}, {"start": 154.84, "end": 155.3, "word": " any", "probability": 0.65869140625}, {"start": 155.3, "end": 157.82, "word": " field", "probability": 0.91943359375}, {"start": 157.82, "end": 158.56, "word": " is", "probability": 0.7265625}, {"start": 158.56, "end": 159.52, "word": " an", "probability": 0.6591796875}, {"start": 159.52, "end": 160.0, "word": " integral", "probability": 0.8203125}, {"start": 160.0, "end": 160.68, "word": " domain", "probability": 0.99560546875}], "temperature": 1.0}, {"id": 6, "seek": 19045, "start": 161.19, "end": 190.45, "text": "هذا بدي يعطينا ان ال R موديول A is an integral domain يبقى بروحنا نقوله by the first theorem النظرية الأولى ال A is a prime ID", "tokens": [3224, 15730, 4724, 16254, 37495, 9566, 1829, 8315, 16472, 2423, 497, 3714, 2407, 16254, 12610, 316, 307, 364, 11573, 9274, 7251, 3555, 4587, 7578, 4724, 32887, 5016, 8315, 8717, 39648, 3224, 538, 264, 700, 20904, 28239, 19913, 2288, 10632, 16247, 12610, 7578, 2423, 316, 307, 257, 5835, 7348], "avg_logprob": -0.3223852040816326, "compression_ratio": 1.2361111111111112, "no_speech_prob": 0.0, "words": [{"start": 161.19, "end": 161.75, "word": "هذا", "probability": 0.927978515625}, {"start": 161.75, "end": 162.13, "word": " بدي", "probability": 0.29742431640625}, {"start": 162.13, "end": 162.99, "word": " يعطينا", "probability": 0.96630859375}, {"start": 162.99, "end": 163.47, "word": " ان", "probability": 0.5546875}, {"start": 163.47, "end": 163.81, "word": " ال", "probability": 0.8525390625}, {"start": 163.81, "end": 164.17, "word": " R", "probability": 0.3154296875}, {"start": 164.17, "end": 164.85, "word": " موديول", "probability": 0.6900634765625}, {"start": 164.85, "end": 165.27, "word": " A", "probability": 0.5537109375}, {"start": 165.27, "end": 166.33, "word": " is", "probability": 0.578125}, {"start": 166.33, "end": 167.57, "word": " an", "probability": 0.76513671875}, {"start": 167.57, "end": 168.77, "word": " integral", "probability": 0.828125}, {"start": 168.77, "end": 170.63, "word": " domain", "probability": 0.9794921875}, {"start": 170.63, "end": 174.07, "word": " يبقى", "probability": 0.9501953125}, {"start": 174.07, "end": 174.71, "word": " بروحنا", "probability": 0.677490234375}, {"start": 174.71, "end": 175.21, "word": " نقوله", "probability": 0.8968098958333334}, {"start": 175.21, "end": 175.95, "word": " by", "probability": 0.443603515625}, {"start": 175.95, "end": 177.85, "word": " the", "probability": 0.476806640625}, {"start": 177.85, "end": 178.81, "word": " first", "probability": 0.87939453125}, {"start": 178.81, "end": 181.17, "word": " theorem", "probability": 0.83837890625}, {"start": 181.17, "end": 184.29, "word": " النظرية", "probability": 0.8614501953125}, {"start": 184.29, "end": 185.21, "word": " الأولى", "probability": 0.96923828125}, {"start": 185.21, "end": 185.89, "word": " ال", "probability": 0.8056640625}, {"start": 185.89, "end": 186.37, "word": " A", "probability": 0.64794921875}, {"start": 186.37, "end": 187.31, "word": " is", "probability": 0.83349609375}, {"start": 187.31, "end": 187.99, "word": " a", "probability": 0.525390625}, {"start": 187.99, "end": 189.49, "word": " prime", "probability": 0.830078125}, {"start": 189.49, "end": 190.45, "word": " ID", "probability": 0.3037109375}], "temperature": 1.0}, {"id": 7, "seek": 21596, "start": 192.1, "end": 215.96, "text": "يبقى أثبتنا إن الـ maximal ideal عبارة عن prime ideal إذا كانت الـR is commutative with unity وصلنا إلى آخر مثال في هذا ال section وهو الاردن يقول the ideal", "tokens": [1829, 3555, 4587, 7578, 5551, 12984, 3555, 2655, 8315, 36145, 2423, 39184, 49336, 7157, 6225, 3555, 9640, 3660, 18871, 5835, 7157, 11933, 15730, 25961, 2655, 2423, 39184, 49, 307, 800, 325, 1166, 365, 18205, 4032, 36520, 8315, 30731, 19753, 34740, 50113, 6027, 8978, 23758, 2423, 3541, 37037, 2407, 2423, 9640, 3215, 1863, 7251, 39648, 264, 7157], "avg_logprob": -0.40131578110812005, "compression_ratio": 1.311764705882353, "no_speech_prob": 0.0, "words": [{"start": 192.1, "end": 192.7, 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207.56, "end": 208.36, "word": " وهو", "probability": 0.843994140625}, {"start": 208.36, "end": 209.86, "word": " الاردن", "probability": 0.39864349365234375}, {"start": 209.86, "end": 214.84, "word": " يقول", "probability": 0.6973876953125}, {"start": 214.84, "end": 215.06, "word": " the", "probability": 0.477783203125}, {"start": 215.06, "end": 215.96, "word": " ideal", "probability": 0.9169921875}], "temperature": 1.0}, {"id": 8, "seek": 23551, "start": 219.63, "end": 235.51, "text": "أو الـ principal ideal generated by X is a prime ideal in Z of X but not maximum", "tokens": [10721, 2407, 2423, 39184, 9716, 7157, 10833, 538, 1783, 307, 257, 5835, 7157, 294, 1176, 295, 1783, 457, 406, 6674], "avg_logprob": -0.3917410827818371, "compression_ratio": 1.0119047619047619, "no_speech_prob": 0.0, "words": [{"start": 219.63, "end": 220.01, "word": "أو", "probability": 0.832275390625}, {"start": 220.01, "end": 220.17, "word": " الـ", "probability": 0.7607421875}, {"start": 220.17, "end": 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ال", "probability": 0.58935546875}, {"start": 278.14, "end": 278.58, "word": " principle", "probability": 0.47119140625}, {"start": 278.58, "end": 279.08, "word": " id", "probability": 0.1834716796875}, {"start": 279.08, "end": 279.78, "word": " generated", "probability": 0.78857421875}, {"start": 279.78, "end": 280.22, "word": " by", "probability": 0.96484375}, {"start": 280.22, "end": 280.56, "word": " X", "probability": 0.5537109375}, {"start": 280.56, "end": 280.84, "word": " هو", "probability": 0.955078125}, {"start": 280.84, "end": 281.38, "word": " عبارة", "probability": 0.9949951171875}, {"start": 281.38, "end": 281.58, "word": " عن", "probability": 0.99853515625}, {"start": 281.58, "end": 281.72, "word": " ال", "probability": 0.9306640625}, {"start": 281.72, "end": 282.08, "word": " prime", "probability": 0.6044921875}, {"start": 282.08, "end": 282.68, "word": " ideal", "probability": 0.82763671875}, {"start": 282.68, "end": 282.98, "word": " في", "probability": 0.8603515625}, {"start": 282.98, "end": 283.26, "word": " هذه", "probability": 0.87109375}, {"start": 283.26, "end": 283.46, "word": " ال", "probability": 0.95654296875}, {"start": 283.46, "end": 283.72, "word": " ring", "probability": 0.91796875}, {"start": 283.72, "end": 284.86, "word": " لكنه", "probability": 0.824462890625}, {"start": 284.86, "end": 285.34, "word": " ليس", "probability": 0.984619140625}, {"start": 285.34, "end": 285.92, "word": " maximum", "probability": 0.60009765625}], "temperature": 1.0}, {"id": 10, "seek": 31476, "start": 286.38, "end": 314.76, "text": "يبقى بدي أثبت شغل تاني ان ال principle ideal generated by X هو prime ideal وفي نفس الوقت ليس maximum ideal كمان في Z of X علشان هيك بدنا نبدأ نثبت ال maximum لإن بدنا نثبت اللي هو يفتقر انه prime ideal لكن قبل ذلك خلينا نرجع لتعريف ال principle ideal generated by X قلنا سابقا", "tokens": [1829, 3555, 4587, 7578, 4724, 16254, 5551, 12984, 3555, 2655, 13412, 17082, 1211, 6055, 7649, 1829, 16472, 2423, 8665, 7157, 10833, 538, 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"end": 1631.54, "text": "يعني هل كل ال elements اللي في ال Z و X بقدر أكتبهم على الشكل هذا؟ لأ، هذا ممكن يكون الزوج و ممكن يكون الفرد و ممكن يكون الصفر، صحيح؟ إذا لا يمكن لهذا ال ID أنه يسوى مين؟ أنه يسوى ال ring الأصلية، يبقى هذا لا يمكن أن يسوى ال ring الأصلية من خلال ال definition اللي عندنا", "tokens": [40228, 22653, 8032, 1211, 28242, 2423, 4959, 13672, 1829, 8978, 2423, 1176, 4032, 1783, 4724, 28543, 2288, 5551, 4117, 2655, 3555, 16095, 15844, 25124, 28820, 23758, 22807, 5296, 10721, 12399, 23758, 3714, 43020, 7251, 30544, 6024, 110, 29245, 4032, 3714, 43020, 7251, 30544, 27188, 2288, 3215, 4032, 3714, 43020, 7251, 30544, 31767, 5172, 2288, 12399, 20328, 5016, 1829, 5016, 22807, 11933, 15730, 20193, 7251, 43020, 46740, 15730, 2423, 7348, 14739, 3224, 7251, 3794, 2407, 7578, 3714, 9957, 22807, 14739, 3224, 7251, 3794, 2407, 7578, 2423, 4875, 16247, 36520, 10632, 12399, 7251, 3555, 4587, 7578, 23758, 20193, 7251, 43020, 14739, 7251, 3794, 2407, 7578, 2423, 4875, 16247, 36520, 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"probability": 0.8196614583333334}, {"start": 2089.99, "end": 2090.63, "word": " آخر", "probability": 0.752197265625}, {"start": 2090.63, "end": 2091.57, "word": " مثلا", "probability": 0.80615234375}, {"start": 2091.57, "end": 2092.47, "word": " زي", "probability": 0.9267578125}, {"start": 2092.47, "end": 2093.21, "word": " سؤال", "probability": 0.9812825520833334}, {"start": 2093.21, "end": 2094.55, "word": " ستة،", "probability": 0.85302734375}, {"start": 2094.55, "end": 2095.19, "word": " سؤال", "probability": 0.9931640625}, {"start": 2095.19, "end": 2095.83, "word": " ستة،", "probability": 0.8968505859375}], "temperature": 1.0}, {"id": 74, "seek": 212306, "start": 2096.62, "end": 2123.06, "text": "بيقولّي اهدّي كل ال maximum ideas و اعين ال maximum ideas ان جالس زت تمانى و زد عشرة و زد اتناشر و زد ان", "tokens": [3555, 1829, 39648, 11703, 1829, 1975, 3224, 3215, 11703, 1829, 28242, 2423, 6674, 3487, 4032, 1975, 3615, 9957, 2423, 6674, 3487, 16472, 10874, 6027, 3794, 30767, 2655, 46811, 7649, 7578, 4032, 30767, 3215, 6225, 8592, 25720, 4032, 30767, 3215, 1975, 2655, 1863, 33599, 2288, 4032, 30767, 3215, 16472], "avg_logprob": -0.5025510009454222, "compression_ratio": 1.4504504504504505, "no_speech_prob": 0.0, "words": [{"start": 2096.62, "end": 2097.48, "word": "بيقولّي", "probability": 0.5938720703125}, {"start": 2097.48, "end": 2098.28, "word": " اهدّي", "probability": 0.701708984375}, {"start": 2098.28, "end": 2098.52, "word": " كل", "probability": 0.86669921875}, {"start": 2098.52, "end": 2098.72, "word": " ال", "probability": 0.93359375}, {"start": 2098.72, "end": 2099.22, "word": " maximum", "probability": 0.3916015625}, {"start": 2099.22, "end": 2100.18, "word": " ideas", "probability": 0.479736328125}, {"start": 2100.18, "end": 2100.74, "word": " و", "probability": 0.1580810546875}, {"start": 2100.74, "end": 2101.56, "word": " اعين", "probability": 0.62451171875}, {"start": 2101.56, "end": 2102.56, "word": " ال", "probability": 0.7314453125}, {"start": 2102.56, "end": 2103.5, "word": " maximum", "probability": 0.7236328125}, {"start": 2103.5, "end": 2106.78, "word": " ideas", "probability": 0.9306640625}, {"start": 2106.78, "end": 2109.18, "word": " ان", "probability": 0.1488037109375}, {"start": 2109.18, "end": 2111.32, "word": " جالس", "probability": 0.6376953125}, {"start": 2111.32, "end": 2111.62, "word": " زت", "probability": 0.4871826171875}, {"start": 2111.62, "end": 2113.2, "word": " تمانى", "probability": 0.6498209635416666}, {"start": 2113.2, "end": 2115.54, "word": " و", "probability": 0.177001953125}, {"start": 2115.54, "end": 2116.66, "word": " زد", "probability": 0.5438232421875}, {"start": 2116.66, "end": 2117.38, "word": " عشرة", "probability": 0.83642578125}, {"start": 2117.38, "end": 2119.48, "word": " و", "probability": 0.91015625}, {"start": 2119.48, "end": 2119.9, "word": " زد", "probability": 0.822509765625}, {"start": 2119.9, "end": 2121.24, "word": " اتناشر", "probability": 0.81240234375}, {"start": 2121.24, "end": 2122.22, "word": " و", "probability": 0.9423828125}, {"start": 2122.22, "end": 2122.64, "word": " زد", "probability": 0.873779296875}, {"start": 2122.64, "end": 2123.06, "word": " ان", "probability": 0.61474609375}], "temperature": 1.0}, {"id": 75, "seek": 215331, "start": 2125.67, "end": 2153.31, "text": "نبدأ شكل الـ maximal ideal فيهم احنا خدنا مثال زبدة 12 و جبنا ال maximum ideal فيهم كمثال تذكروا و الله راحت أدراجي الرياح و طبعا بيرنا و عملنا لها ال lattice و المثال الوحيد اللي عمله الشبكية تبعته خلال هذا ال section", "tokens": [1863, 44510, 10721, 13412, 28820, 2423, 39184, 49336, 7157, 8978, 16095, 1975, 5016, 8315, 16490, 3215, 8315, 50113, 6027, 30767, 3555, 41891, 2272, 4032, 10874, 3555, 8315, 2423, 6674, 7157, 8978, 16095, 9122, 2304, 12984, 6027, 6055, 8848, 37983, 14407, 4032, 21984, 12602, 39319, 2655, 5551, 3215, 2288, 26108, 1829, 2423, 16572, 39319, 4032, 23032, 3555, 3615, 995, 4724, 13546, 8315, 4032, 6225, 42213, 8315, 5296, 11296, 2423, 34011, 4032, 9673, 12984, 6027, 2423, 2407, 5016, 25708, 13672, 1829, 6225, 42213, 3224, 25124, 3555, 4117, 10632, 6055, 3555, 34268, 3224, 16490, 1211, 6027, 23758, 2423, 3541], "avg_logprob": -0.24693943298969073, "compression_ratio": 1.710144927536232, "no_speech_prob": 0.0, "words": [{"start": 2125.67, "end": 2126.17, "word": "نبدأ", "probability": 0.7338053385416666}, {"start": 2126.17, "end": 2126.61, "word": " شكل", "probability": 0.572021484375}, {"start": 2126.61, "end": 2126.95, "word": " الـ", "probability": 0.7064208984375}, {"start": 2126.95, "end": 2127.45, "word": " maximal", "probability": 0.38623046875}, {"start": 2127.45, "end": 2128.13, "word": " ideal", "probability": 0.66015625}, {"start": 2128.13, "end": 2129.23, "word": " فيهم", "probability": 0.864990234375}, {"start": 2129.23, "end": 2133.01, "word": " احنا", "probability": 0.65625}, {"start": 2133.01, "end": 2133.67, "word": " خدنا", "probability": 0.799072265625}, {"start": 2133.67, "end": 2134.19, "word": " مثال", "probability": 0.978515625}, {"start": 2134.19, "end": 2134.67, "word": " زبدة", "probability": 0.5843098958333334}, {"start": 2134.67, "end": 2135.49, "word": " 12", "probability": 0.46240234375}, {"start": 2135.49, "end": 2135.79, "word": " و", "probability": 0.67724609375}, {"start": 2135.79, "end": 2136.15, "word": " جبنا", "probability": 0.7618815104166666}, {"start": 2136.15, "end": 2136.33, "word": " ال", "probability": 0.888671875}, {"start": 2136.33, "end": 2136.77, "word": " maximum", "probability": 0.354736328125}, {"start": 2136.77, "end": 2137.39, "word": " ideal", "probability": 0.796875}, {"start": 2137.39, "end": 2137.91, "word": " فيهم", "probability": 0.9404296875}, {"start": 2137.91, "end": 2139.01, "word": " كمثال", "probability": 0.9833984375}, {"start": 2139.01, "end": 2140.73, "word": " تذكروا", "probability": 0.85595703125}, {"start": 2140.73, "end": 2140.95, "word": " و", "probability": 0.252197265625}, {"start": 2140.95, "end": 2141.09, "word": " الله", "probability": 0.7861328125}, {"start": 2141.09, "end": 2141.83, "word": " راحت", "probability": 0.7488606770833334}, {"start": 2141.83, "end": 2142.37, "word": " أدراجي", "probability": 0.77744140625}, {"start": 2142.37, "end": 2142.95, "word": " الرياح", "probability": 0.9069010416666666}, {"start": 2142.95, "end": 2144.41, "word": " و", "probability": 0.8447265625}, {"start": 2144.41, "end": 2144.87, "word": " طبعا", "probability": 0.958984375}, {"start": 2144.87, "end": 2145.89, "word": " بيرنا", "probability": 0.6787923177083334}, {"start": 2145.89, "end": 2146.17, "word": " و", "probability": 0.98193359375}, {"start": 2146.17, "end": 2146.59, "word": " عملنا", "probability": 0.95947265625}, {"start": 2146.59, "end": 2146.79, "word": " لها", "probability": 0.967529296875}, {"start": 2146.79, "end": 2146.99, "word": " ال", "probability": 0.93359375}, {"start": 2146.99, "end": 2147.51, "word": " lattice", "probability": 0.76171875}, {"start": 2147.51, "end": 2148.41, "word": " و", "probability": 0.58203125}, {"start": 2148.41, "end": 2148.89, "word": " المثال", "probability": 0.935546875}, {"start": 2148.89, "end": 2149.37, "word": " الوحيد", "probability": 0.847412109375}, {"start": 2149.37, "end": 2149.55, "word": " اللي", "probability": 0.901123046875}, {"start": 2149.55, "end": 2150.05, "word": " عمله", "probability": 0.7991536458333334}, {"start": 2150.05, "end": 2150.93, "word": " الشبكية", "probability": 0.9835205078125}, {"start": 2150.93, "end": 2151.77, "word": " تبعته", "probability": 0.967529296875}, {"start": 2151.77, "end": 2152.29, "word": " خلال", "probability": 0.9861653645833334}, {"start": 2152.29, "end": 2152.65, "word": " هذا", "probability": 0.8271484375}, {"start": 2152.65, "end": 2152.85, "word": " ال", "probability": 0.85400390625}, {"start": 2152.85, "end": 2153.31, "word": " section", "probability": 0.60302734375}], "temperature": 1.0}, {"id": 76, "seek": 217888, "start": 2154.06, "end": 2178.88, "text": "وقلنا عندها ان اتنين والتلاتة و ال principle ideal generated by اتنين و ال principle ideal generated by التلاتة are maximal ideals in Z12 مظبوط لقيته في الدفاتر ممتاز يبقى هذا يا بنات بياننا سابقا ان ال principle ideal generated by اتنين", "tokens": [2407, 4587, 1211, 8315, 43242, 11296, 16472, 1975, 2655, 1863, 9957, 16070, 2655, 1211, 9307, 3660, 4032, 2423, 8665, 7157, 10833, 538, 1975, 2655, 1863, 9957, 4032, 2423, 8665, 7157, 10833, 538, 16712, 1211, 9307, 3660, 366, 49336, 30956, 294, 1176, 4762, 3714, 19913, 3555, 2407, 9566, 5296, 4587, 36081, 3224, 8978, 32748, 5172, 9307, 2288, 3714, 2304, 2655, 31377, 7251, 3555, 4587, 7578, 23758, 35186, 4724, 8315, 2655, 4724, 1829, 7649, 8315, 8608, 16758, 4587, 995, 16472, 2423, 8665, 7157, 10833, 538, 1975, 2655, 1863, 9957], "avg_logprob": -0.2812499888241291, "compression_ratio": 1.8516483516483517, "no_speech_prob": 0.0, "words": [{"start": 2154.06, "end": 2154.8, "word": "وقلنا", "probability": 0.72650146484375}, {"start": 2154.8, "end": 2155.22, "word": " عندها", "probability": 0.949951171875}, {"start": 2155.22, "end": 2155.5, "word": " ان", "probability": 0.326171875}, {"start": 2155.5, "end": 2156.1, "word": " اتنين", "probability": 0.63616943359375}, {"start": 2156.1, "end": 2156.82, "word": " والتلاتة", "probability": 0.81416015625}, {"start": 2156.82, "end": 2156.92, "word": " و", "probability": 0.6162109375}, {"start": 2156.92, "end": 2157.04, "word": " ال", "probability": 0.73681640625}, {"start": 2157.04, "end": 2157.54, "word": " principle", "probability": 0.65185546875}, {"start": 2157.54, "end": 2158.14, "word": " ideal", "probability": 0.45458984375}, {"start": 2158.14, "end": 2158.8, "word": " generated", "probability": 0.8583984375}, {"start": 2158.8, "end": 2159.18, "word": " by", "probability": 0.9306640625}, {"start": 2159.18, "end": 2159.64, "word": " اتنين", "probability": 0.9525146484375}, {"start": 2159.64, "end": 2159.76, "word": " و", "probability": 0.693359375}, {"start": 2159.76, "end": 2159.88, "word": " ال", "probability": 0.9130859375}, {"start": 2159.88, "end": 2160.32, "word": " principle", "probability": 0.8935546875}, {"start": 2160.32, "end": 2160.9, "word": " ideal", "probability": 0.91845703125}, {"start": 2160.9, "end": 2161.52, "word": " generated", "probability": 0.86962890625}, {"start": 2161.52, "end": 2161.94, "word": " by", "probability": 0.9775390625}, {"start": 2161.94, "end": 2162.78, "word": " التلاتة", "probability": 0.8572998046875}, {"start": 2162.78, "end": 2163.48, "word": " are", "probability": 0.810546875}, {"start": 2163.48, "end": 2164.36, "word": " maximal", "probability": 0.83203125}, {"start": 2164.36, "end": 2165.48, "word": " ideals", "probability": 0.9716796875}, {"start": 2165.48, "end": 2166.04, "word": " in", "probability": 0.33349609375}, {"start": 2166.04, "end": 2166.84, "word": " Z12", "probability": 0.24407958984375}, {"start": 2166.84, "end": 2167.94, "word": " مظبوط", "probability": 0.7736328125}, {"start": 2167.94, "end": 2168.36, "word": " لقيته", "probability": 0.70880126953125}, {"start": 2168.36, "end": 2168.5, "word": " في", "probability": 0.90283203125}, {"start": 2168.5, "end": 2169.32, "word": " الدفاتر", "probability": 0.95458984375}, {"start": 2169.32, "end": 2170.74, "word": " ممتاز", "probability": 0.83837890625}, {"start": 2170.74, "end": 2171.68, "word": " يبقى", "probability": 0.82666015625}, {"start": 2171.68, "end": 2172.0, "word": " هذا", "probability": 0.580078125}, {"start": 2172.0, "end": 2172.24, "word": " يا", "probability": 0.9228515625}, {"start": 2172.24, "end": 2172.78, "word": " بنات", "probability": 0.7884114583333334}, {"start": 2172.78, "end": 2173.68, "word": " بياننا", "probability": 0.6861572265625}, {"start": 2173.68, "end": 2174.78, "word": " سابقا", "probability": 0.84967041015625}, {"start": 2174.78, "end": 2175.46, "word": " ان", "probability": 0.7978515625}, {"start": 2175.46, "end": 2175.7, "word": " ال", "probability": 0.98388671875}, {"start": 2175.7, "end": 2176.3, "word": " principle", "probability": 0.88525390625}, {"start": 2176.3, "end": 2177.02, "word": " ideal", "probability": 0.91650390625}, {"start": 2177.02, "end": 2177.8, "word": " generated", "probability": 0.892578125}, {"start": 2177.8, "end": 2178.28, "word": " by", "probability": 0.98876953125}, {"start": 2178.28, "end": 2178.88, "word": " اتنين", "probability": 0.977783203125}], "temperature": 1.0}, {"id": 77, "seek": 220688, "start": 2179.12, "end": 2206.88, "text": "و ال principle ideals generated by ثلاثة هدول are maximum ideals هدول الأتنين هما ال maximum خلّي هالمعلومة عندك هذه لزمان طيب نيجي لزيد تمانية لزيد تمانية بدي أدور على ال ideals تبعتها الان لو جيت على ال principle ideals generated by one", "tokens": [2407, 2423, 8665, 30956, 10833, 538, 38637, 1211, 5718, 104, 3660, 8032, 3215, 12610, 366, 6674, 30956, 8032, 3215, 12610, 16247, 2655, 1863, 9957, 8032, 15042, 2423, 6674, 16490, 1211, 11703, 1829, 8032, 45340, 30241, 20498, 3660, 43242, 4117, 29538, 5296, 11622, 2304, 7649, 23032, 1829, 3555, 8717, 1829, 7435, 1829, 5296, 11622, 25708, 46811, 7649, 10632, 5296, 11622, 25708, 46811, 7649, 10632, 4724, 16254, 5551, 3215, 13063, 15844, 2423, 30956, 6055, 3555, 34268, 11296, 2423, 7649, 45164, 10874, 36081, 15844, 2423, 8665, 30956, 10833, 538, 472], "avg_logprob": -0.21768466230820527, "compression_ratio": 1.7587939698492463, "no_speech_prob": 0.0, "words": [{"start": 2179.12, "end": 2179.36, "word": "و", "probability": 0.5068359375}, {"start": 2179.36, "end": 2179.54, "word": " ال", "probability": 0.611328125}, {"start": 2179.54, "end": 2180.02, "word": " principle", "probability": 0.58935546875}, {"start": 2180.02, "end": 2180.62, "word": " ideals", "probability": 0.69677734375}, {"start": 2180.62, "end": 2181.22, "word": " generated", "probability": 0.8623046875}, {"start": 2181.22, "end": 2181.56, "word": " by", "probability": 0.95166015625}, {"start": 2181.56, "end": 2182.14, "word": " ثلاثة", "probability": 0.803466796875}, {"start": 2182.14, "end": 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2236.58, "end": 2258.12, "text": "طيب تمام راح الواحد والتلات والخمسة والسبعة بقى اللي عندي اتنين واربعة وستة وبس مظبوط وال zero صح؟ طيب عندك ال principle ideal generated by zero اللي هو zero itself", "tokens": [9566, 1829, 3555, 46811, 10943, 12602, 39319, 2423, 14407, 24401, 16070, 2655, 1211, 9307, 16070, 9778, 2304, 3794, 3660, 16070, 35457, 27884, 4724, 4587, 7578, 13672, 1829, 18871, 16254, 1975, 2655, 1863, 9957, 4032, 9640, 3555, 27884, 4032, 14851, 3660, 46599, 3794, 3714, 19913, 3555, 2407, 9566, 16070, 4018, 20328, 5016, 22807, 23032, 1829, 3555, 43242, 4117, 2423, 8665, 7157, 10833, 538, 4018, 13672, 1829, 31439, 4018, 2564], "avg_logprob": -0.2712862336117288, "compression_ratio": 1.532934131736527, "no_speech_prob": 0.0, "words": [{"start": 2236.58, "end": 2237.06, "word": "طيب", "probability": 0.9724934895833334}, {"start": 2237.06, "end": 2237.66, "word": " تمام", "probability": 0.97412109375}, {"start": 2237.66, "end": 2238.3, "word": " راح", "probability": 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2249.88, "word": " مظبوط", "probability": 0.85546875}, {"start": 2249.88, "end": 2250.14, "word": " وال", "probability": 0.311279296875}, {"start": 2250.14, "end": 2250.68, "word": " zero", "probability": 0.55517578125}, {"start": 2250.68, "end": 2252.52, "word": " صح؟", "probability": 0.8030598958333334}, {"start": 2252.52, "end": 2253.12, "word": " طيب", "probability": 0.9485677083333334}, {"start": 2253.12, "end": 2253.7, "word": " عندك", "probability": 0.928466796875}, {"start": 2253.7, "end": 2253.82, "word": " ال", "probability": 0.83984375}, {"start": 2253.82, "end": 2254.4, "word": " principle", "probability": 0.85400390625}, {"start": 2254.4, "end": 2255.04, "word": " ideal", "probability": 0.515625}, {"start": 2255.04, "end": 2255.84, "word": " generated", "probability": 0.87158203125}, {"start": 2255.84, "end": 2256.26, "word": " by", "probability": 0.9658203125}, {"start": 2256.26, "end": 2256.74, "word": " zero", "probability": 0.8115234375}, {"start": 2256.74, "end": 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ليه الاتنين طيب هنا هنا بنات اتنين وثلاثة prime numbers وكل واحد فيهم بجسم نهار هذه طلعت اتنين هو prime number بجسم التمانية بناء عليه هذه من هم ال maximum اتنين وخمسة اتنين وخمسة ممتازة", "tokens": [6027, 9307, 1863, 9957, 23032, 1829, 3555, 3714, 2304, 2655, 31377, 10874, 28259, 7251, 3555, 4587, 7578, 29538, 23032, 1211, 34268, 32239, 3224, 2423, 9307, 1863, 9957, 23032, 1829, 3555, 34105, 34105, 4724, 8315, 2655, 1975, 2655, 1863, 9957, 4032, 12984, 1211, 5718, 104, 3660, 5835, 3547, 4032, 28820, 36764, 24401, 8978, 16095, 4724, 7435, 38251, 8717, 3224, 9640, 29538, 23032, 1211, 34268, 1975, 2655, 1863, 9957, 31439, 5835, 1230, 4724, 7435, 38251, 16712, 2304, 7649, 10632, 44945, 16606, 47356, 29538, 9154, 8032, 2304, 2423, 6674, 1975, 2655, 1863, 9957, 4032, 9778, 2304, 3794, 3660, 1975, 2655, 1863, 9957, 4032, 9778, 2304, 3794, 3660, 3714, 2304, 2655, 31377, 3660], "avg_logprob": -0.1788352302529595, "compression_ratio": 1.9528795811518325, "no_speech_prob": 0.0, "words": 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ايديل ال A و ال B ايديل اثبت ان ال A بيستخدم ال A intersection B", "tokens": [9566, 1829, 3555, 8717, 32887, 5016, 5296, 33456, 8315, 8608, 33604, 6027, 1975, 25513, 27884, 6225, 46309, 50113, 15040, 8717, 5172, 7435, 2288, 8608, 33604, 6027, 1975, 25513, 27884, 6225, 46309, 8608, 33604, 6027, 1975, 25513, 27884, 6225, 46309, 4724, 1829, 39648, 19446, 7251, 2655, 9778, 8848, 2423, 316, 4032, 2423, 363, 1975, 1829, 16254, 1211, 2423, 316, 4032, 2423, 363, 1975, 1829, 16254, 1211, 1975, 12984, 3555, 2655, 16472, 2423, 316, 4724, 1829, 14851, 9778, 40448, 2423, 316, 15236, 363], "avg_logprob": -0.3052591594254098, "compression_ratio": 1.8206896551724139, "no_speech_prob": 0.0, "words": [{"start": 2544.92, "end": 2545.3, "word": "طيب", "probability": 0.9619140625}, {"start": 2545.3, "end": 2545.74, "word": " نروح", "probability": 0.7635904947916666}, {"start": 2545.74, "end": 2546.34, "word": " لأننا", "probability": 0.5909830729166666}, {"start": 2546.34, "end": 2547.48, "word": " سؤال", 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{"start": 2923.41, "end": 2924.29, "word": " تساوي", "probability": 0.9700927734375}, {"start": 2924.29, "end": 2924.47, "word": " ال", "probability": 0.82763671875}, {"start": 2924.47, "end": 2924.79, "word": " X", "probability": 0.97607421875}, {"start": 2924.79, "end": 2925.35, "word": " الواحد", "probability": 0.9072265625}, {"start": 2925.35, "end": 2925.67, "word": " عندى", "probability": 0.677734375}, {"start": 2925.67, "end": 2926.95, "word": " بقدرش", "probability": 0.48870849609375}, {"start": 2926.95, "end": 2927.31, "word": " ب", "probability": 0.453857421875}, {"start": 2927.31, "end": 2927.95, "word": " A", "probability": 0.3310546875}, {"start": 2927.95, "end": 2929.13, "word": " زائد", "probability": 0.80908203125}, {"start": 2929.13, "end": 2929.39, "word": " ال", "probability": 0.65380859375}, {"start": 2929.39, "end": 2929.75, "word": " B", "probability": 0.86279296875}, {"start": 2929.75, "end": 2931.17, "word": " هذا", "probability": 0.86376953125}, {"start": 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"word": " هذا", "probability": 0.98388671875}, {"start": 2969.54, "end": 2970.28, "word": " موجود", "probability": 0.9908854166666666}, {"start": 2970.28, "end": 2970.82, "word": " وين", "probability": 0.97216796875}, {"start": 2970.82, "end": 2971.32, "word": " فى", "probability": 0.93408203125}, {"start": 2971.32, "end": 2971.74, "word": " A", "probability": 0.98583984375}, {"start": 2971.74, "end": 2972.82, "word": " إذا", "probability": 0.968017578125}, {"start": 2972.82, "end": 2973.34, "word": " هذا", "probability": 0.96826171875}, {"start": 2973.34, "end": 2973.88, "word": " كله", "probability": 0.982177734375}, {"start": 2973.88, "end": 2974.5, "word": " موجود", "probability": 0.9939778645833334}, {"start": 2974.5, "end": 2975.04, "word": " وين", "probability": 0.9892578125}, {"start": 2975.04, "end": 2975.82, "word": " فى", "probability": 0.922607421875}, {"start": 2975.82, "end": 2976.02, "word": " ال", "probability": 0.9599609375}, {"start": 2976.02, "end": 2976.6, "word": " A", "probability": 0.97509765625}, {"start": 2976.6, "end": 2977.0, "word": " B", "probability": 0.9560546875}], "temperature": 1.0}, {"id": 105, "seek": 300570, "start": 2977.54, "end": 3005.7, "text": "يبقى X اللى خدتها في ال intersection اللى جيتها موجودة وين في حاصل الدورة يبقى هنا ساعة ال intersection بيه ساعة ست من مين من ال A بيه هذه العلاقة رقم اتنين يبقى from واحد and اتنين we have", "tokens": [1829, 3555, 4587, 7578, 1783, 13672, 7578, 16490, 3215, 2655, 11296, 8978, 2423, 15236, 13672, 7578, 10874, 36081, 11296, 3714, 29245, 23328, 3660, 4032, 9957, 8978, 11331, 33546, 1211, 32748, 13063, 3660, 7251, 3555, 4587, 7578, 34105, 8608, 995, 27884, 2423, 15236, 4724, 1829, 3224, 8608, 995, 27884, 8608, 2655, 9154, 3714, 9957, 9154, 2423, 316, 4724, 1829, 3224, 29538, 18863, 15040, 28671, 12602, 4587, 2304, 1975, 2655, 1863, 9957, 7251, 3555, 4587, 7578, 490, 36764, 24401, 293, 1975, 2655, 1863, 9957, 321, 362], "avg_logprob": -0.2020220539149116, "compression_ratio": 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3001.32, "end": 3002.38, "word": " and", "probability": 0.84521484375}, {"start": 3002.38, "end": 3003.88, "word": " اتنين", "probability": 0.9827880859375}, {"start": 3003.88, "end": 3004.66, "word": " we", "probability": 0.453857421875}, {"start": 3004.66, "end": 3005.7, "word": " have", "probability": 0.96337890625}], "temperature": 1.0}, {"id": 106, "seek": 303097, "start": 3006.47, "end": 3030.97, "text": "إن الـ A intersection B يساوي الـ A في B يلا صدلوا عندكم exercises ليوم السبت خدوا لسؤال 17 سؤال 22", "tokens": [28814, 1863, 2423, 39184, 316, 15236, 363, 7251, 3794, 995, 45865, 2423, 39184, 316, 8978, 363, 7251, 15040, 20328, 3215, 1211, 14407, 43242, 24793, 11900, 5296, 1829, 20498, 21136, 3555, 2655, 16490, 3215, 14407, 5296, 3794, 33604, 6027, 3282, 8608, 33604, 6027, 5853], "avg_logprob": -0.3430397761139003, "compression_ratio": 1.221311475409836, "no_speech_prob": 0.0, "words": [{"start": 3006.47, "end": 3006.89, "word": "إن", "probability": 0.6776123046875}, {"start": 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