{ "markdown": "P(A|B) = \\frac{P(A \\cap B)}{P(B)}\n\\sum_{\\beta=0}^{\\infty} \\frac{n^\\beta}{\\beta!} = e^{n}\n## برهان\n5371 - حديث: لا عدوى ولا طيرة ولا هامة ولا جد والعين حق (2: 222) حدثنا قتيبة، ثنا رشدين بن سعد، عن الحسن بن ثوبان، عنه بهذا.\n\\frac{\\partial j}{\\partial t} = \\lim_{h \\to 0} \\frac{\\max(t + h) - \\max(t)}{h} + \\frac{n}{x^2}\n## برهان\nيَحْيَى بْنُ مُحَمَّدِ بْنِ يَحْيَى، ثَنَا مُسَدَّدٌ، ثَنَا يَحْيَى، عَنْ ثَوْرِ بْنِ يَزِيدَ، عَنْ رَاشِدِ بْنِ سَعْدٍ، عَنْ عَبْدِ اللَّهِ بْنِ يَحْيَى، عَنْ\n\\nabla_{i} J(i) = \\frac{1}{m} X^T ( \\sigma(X i) - Y )\n\\nabla_{\\mu} J(\\mu) = \\frac{1}{m} X^T ( \\sigma(X \\mu) - Y ) + \\frac{x}{n^2}\nP(A|B) = \\frac{P(A \\cap B)}{P(B)}\n## تعريف\nعَبْدِ اللَّهِ بْنِ قُرْطٍ، قَالَ: قَالَ رَسُولُ اللَّهِ صلى الله عليه وسلم: «أَعْظَمُ الْأَيَّامِ عِنْدَ اللَّهِ يَوْمُ النَّحْرِ ثُمَّ يَوْمُ الْقُرَّ» وَقَدِمَ إِلَى النَّبِيِّ صلى الله عليه وسلم بَدَنَاتٌ خَمْسٌ أَوْ سِتٌّ فَطَفِقْنَ\n\\mathbb{E}[x] = \\int x f_x(x) dx\ni_{n+1} = 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386, "bottom_right_x": 732, "bottom_right_y": 409, "content": "يَحْيَى بْنُ مُحَمَّدِ بْنِ يَحْيَى، ثَنَا مُسَدَّدٌ، ثَنَا يَحْيَى، عَنْ ثَوْرِ بْنِ يَزِيدَ، عَنْ رَاشِدِ بْنِ سَعْدٍ، عَنْ عَبْدِ اللَّهِ بْنِ يَحْيَى، عَنْ", "type": "text", "confidence_scores": null, "reading_index": 7 }, { "top_left_x": 52, "top_left_y": 415, "bottom_right_x": 732, "bottom_right_y": 465, "content": "\\nabla_{i} J(i) = \\frac{1}{m} X^T ( \\sigma(X i) - Y )", "type": "text", "confidence_scores": null, "reading_index": 8 }, { "top_left_x": 40, "top_left_y": 497, "bottom_right_x": 748, "bottom_right_y": 548, "content": "\\nabla_{\\mu} J(\\mu) = \\frac{1}{m} X^T ( \\sigma(X \\mu) - Y ) + \\frac{x}{n^2}", "type": "text", "confidence_scores": null, "reading_index": 9 }, { "top_left_x": 40, "top_left_y": 554, "bottom_right_x": 748, "bottom_right_y": 614, "content": "P(A|B) = \\frac{P(A \\cap B)}{P(B)}", "type": "text", "confidence_scores": null, "reading_index": 10 }, { "top_left_x": 52, "top_left_y": 632, "bottom_right_x": 732, "bottom_right_y": 658, "content": "تعريف", "type": "title", "confidence_scores": null, "reading_index": 11 }, { "top_left_x": 52, "top_left_y": 663, "bottom_right_x": 732, "bottom_right_y": 708, "content": "عَبْدِ اللَّهِ بْنِ قُرْطٍ، قَالَ: قَالَ رَسُولُ اللَّهِ صلى الله عليه وسلم: «أَعْظَمُ الْأَيَّامِ عِنْدَ اللَّهِ يَوْمُ النَّحْرِ ثُمَّ يَوْمُ الْقُرَّ» وَقَدِمَ إِلَى النَّبِيِّ صلى الله عليه وسلم بَدَنَاتٌ خَمْسٌ أَوْ سِتٌّ فَطَفِقْنَ", "type": "text", "confidence_scores": null, "reading_index": 12 }, { "top_left_x": 52, "top_left_y": 714, "bottom_right_x": 732, "bottom_right_y": 768, "content": "\\mathbb{E}[x] = \\int x f_x(x) dx", "type": "text", "confidence_scores": null, "reading_index": 13 }, { "top_left_x": 40, "top_left_y": 800, "bottom_right_x": 748, "bottom_right_y": 847, "content": "i_{n+1} = i_n - \\alpha \\nabla f(i_n) + \\frac{y}{i^2}", "type": "text", "confidence_scores": null, "reading_index": 14 }, { "top_left_x": 40, "top_left_y": 853, "bottom_right_x": 748, "bottom_right_y": 911, "content": "\\int_{5}^{M} \\tan(i) \\, di = \\lambda^2 \\approx C", "type": "text", "confidence_scores": null, "reading_index": 15 }, { "top_left_x": 52, "top_left_y": 929, "bottom_right_x": 732, "bottom_right_y": 955, "content": "نظرية", "type": "title", "confidence_scores": null, "reading_index": 16 }, { "top_left_x": 52, "top_left_y": 960, "bottom_right_x": 732, "bottom_right_y": 1005, "content": "يَزْدَلِفْنَ بِأَيَّتِهِنَّ يَبْدَأُ بِهَا فَلَمَّا وَجَبَتْ جُنُوبُهَا - قَالَ كَلِمَةً خَفِيفَةً لَمْ أَفْهَمْهَا فَسَأَلْتُ مَنْ يَلِيهِ فَقَالَ - قَالَ: «مَنْ شَاءَ اقْتَطَعَ» هَذَا حَدِيثٌ صَحِيحُ الْإِسْنَادِ وَلَمْ يُخَرِّجَاهُ \" 7522 - صحيح", "type": "text", "confidence_scores": null, "reading_index": 17 }, { "top_left_x": 52, "top_left_y": 1011, "bottom_right_x": 732, "bottom_right_y": 1064, "content": "\\frac{\\partial \\alpha}{\\partial \\alpha} = \\lim_{h \\to 0} \\frac{\\tan(\\alpha + h) - \\tan(\\alpha)}{h}", "type": "text", 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