{ "markdown": "\\frac{\\partial x}{\\partial \\beta} = \\lim_{h \\to 0} \\frac{\\tan(\\beta + h) - \\tan(\\beta)}{h}\n## نظرية\n‌ ‌عيسى بن طلحة بن عبيد الله، عن عبد الله بن عمرو\n\\beta_{n+1} = \\beta_n - \\alpha \\nabla f(\\beta_n)\n## ملاحظة\nتناثرت خطايا وجهه مع ذلك الماء فإذا غسل ذراعيه تناثرت خطايا ذراعيه مع ذلك الماء، فإذا مسح برأسه تناثرت خطايا رأسه مع ذلك الماء، فإذا غسل\nP(A|B) = \\frac{P(A \\cap B)}{P(B)} + \\frac{x}{n^2}", "images": [], "tables": [], "hyperlinks": [], "header": null, "footer": null, "dimensions": { "dpi": 96, "height": 454, "width": 514 }, "confidence_scores": { "word_confidence_scores": [ { "text": "\\frac{\\partial", "confidence": 1.0, "start_index": 0 }, { "text": "x}{\\partial", "confidence": 1.0, "start_index": 15 }, { "text": "\\beta}", "confidence": 1.0, "start_index": 27 }, { "text": "=", "confidence": 1.0, "start_index": 34 }, { "text": "\\lim_{h", "confidence": 1.0, "start_index": 36 }, { "text": "\\to", "confidence": 1.0, "start_index": 44 }, { "text": "0}", "confidence": 1.0, "start_index": 48 }, { "text": "\\frac{\\tan(\\beta", "confidence": 1.0, "start_index": 51 }, { "text": "+", "confidence": 1.0, "start_index": 68 }, { "text": "h)", "confidence": 1.0, "start_index": 70 }, { "text": "-", "confidence": 1.0, "start_index": 73 }, { "text": "\\tan(\\beta)}{h}", "confidence": 1.0, "start_index": 75 }, { "text": "##", "confidence": 1.0, "start_index": 91 }, { "text": "نظرية", "confidence": 1.0, "start_index": 94 }, { "text": "‌", "confidence": 1.0, "start_index": 100 }, { "text": "‌عيسى", "confidence": 1.0, "start_index": 102 }, { "text": "بن", "confidence": 1.0, "start_index": 108 }, { "text": "طلحة", "confidence": 1.0, "start_index": 111 }, { "text": "بن", "confidence": 1.0, "start_index": 116 }, { "text": "عبيد", "confidence": 1.0, "start_index": 119 }, { "text": "الله،", "confidence": 1.0, "start_index": 124 }, { "text": "عن", "confidence": 1.0, "start_index": 130 }, { "text": "عبد", "confidence": 1.0, "start_index": 133 }, { "text": "الله", "confidence": 1.0, "start_index": 137 }, { "text": "بن", "confidence": 1.0, "start_index": 142 }, { "text": "عمرو", "confidence": 1.0, "start_index": 145 }, { "text": "\\beta_{n+1}", "confidence": 1.0, "start_index": 150 }, { "text": "=", "confidence": 1.0, "start_index": 162 }, { "text": "\\beta_n", "confidence": 1.0, "start_index": 164 }, { "text": "-", "confidence": 1.0, "start_index": 172 }, { "text": "\\alpha", "confidence": 1.0, "start_index": 174 }, { "text": "\\nabla", "confidence": 1.0, "start_index": 181 }, { "text": "f(\\beta_n)", "confidence": 1.0, "start_index": 188 }, { "text": "##", "confidence": 1.0, "start_index": 199 }, { "text": "ملاحظة", "confidence": 1.0, "start_index": 202 }, { "text": "تناثرت", "confidence": 1.0, "start_index": 209 }, { "text": "خطايا", "confidence": 1.0, "start_index": 216 }, { "text": "وجهه", "confidence": 1.0, "start_index": 222 }, { "text": "مع", "confidence": 1.0, "start_index": 227 }, { "text": "ذلك", "confidence": 1.0, "start_index": 230 }, { "text": "الماء", "confidence": 1.0, "start_index": 234 }, { "text": "فإذا", "confidence": 1.0, "start_index": 240 }, { "text": "غسل", "confidence": 1.0, "start_index": 245 }, { "text": "ذراعيه", "confidence": 1.0, "start_index": 249 }, { "text": "تناثرت", "confidence": 1.0, "start_index": 256 }, { "text": "خطايا", "confidence": 1.0, "start_index": 263 }, { "text": "ذراعيه", "confidence": 1.0, "start_index": 269 }, { "text": "مع", "confidence": 1.0, "start_index": 276 }, { "text": "ذلك", "confidence": 1.0, "start_index": 279 }, { "text": "الماء،", "confidence": 1.0, "start_index": 283 }, { "text": "فإذا", "confidence": 1.0, "start_index": 290 }, { "text": "مسح", "confidence": 1.0, "start_index": 295 }, { "text": "برأسه", "confidence": 1.0, "start_index": 299 }, { "text": "تناثرت", "confidence": 1.0, "start_index": 305 }, { "text": "خطايا", "confidence": 1.0, "start_index": 312 }, { "text": "رأسه", "confidence": 1.0, "start_index": 318 }, { "text": "مع", "confidence": 1.0, "start_index": 323 }, { "text": "ذلك", "confidence": 1.0, "start_index": 326 }, { "text": "الماء،", "confidence": 1.0, "start_index": 330 }, { "text": "فإذا", "confidence": 1.0, "start_index": 337 }, { "text": "غسل", "confidence": 1.0, "start_index": 342 }, { "text": "P(A|B)", "confidence": 1.0, "start_index": 346 }, { "text": "=", "confidence": 1.0, "start_index": 353 }, { "text": "\\frac{P(A", "confidence": 1.0, "start_index": 355 }, { "text": "\\cap", "confidence": 1.0, "start_index": 365 }, { "text": "B)}{P(B)}", "confidence": 1.0, "start_index": 370 }, { "text": "+", "confidence": 1.0, "start_index": 380 }, { "text": "\\frac{x}{n^2}", "confidence": 1.0, "start_index": 382 } ], "average_page_confidence_score": 1.0, "minimum_page_confidence_score": 1.0 }, "blocks": [ { "top_left_x": 20, "top_left_y": 26, "bottom_right_x": 494, "bottom_right_y": 90, "content": "\\frac{\\partial x}{\\partial \\beta} = \\lim_{h \\to 0} \\frac{\\tan(\\beta + h) - \\tan(\\beta)}{h}", "type": "text", "confidence_scores": null, "reading_index": 1 }, { "top_left_x": 32, "top_left_y": 108, "bottom_right_x": 478, "bottom_right_y": 131, "content": "نظرية", "type": "title", "confidence_scores": null, "reading_index": 2 }, { "top_left_x": 32, "top_left_y": 136, "bottom_right_x": 478, "bottom_right_y": 158, "content": "‌ ‌عيسى بن طلحة بن عبيد الله، عن عبد الله بن عمرو", "type": "text", "confidence_scores": null, "reading_index": 3 }, { "top_left_x": 32, "top_left_y": 164, "bottom_right_x": 478, "bottom_right_y": 202, "content": "\\beta_{n+1} = \\beta_n - \\alpha \\nabla f(\\beta_n)", "type": "text", "confidence_scores": null, "reading_index": 4 }, { "top_left_x": 32, "top_left_y": 246, "bottom_right_x": 478, "bottom_right_y": 269, "content": "ملاحظة", "type": "title", "confidence_scores": null, "reading_index": 5 }, { "top_left_x": 32, "top_left_y": 274, "bottom_right_x": 478, "bottom_right_y": 319, "content": "تناثرت خطايا وجهه مع ذلك الماء فإذا غسل ذراعيه تناثرت خطايا ذراعيه مع ذلك الماء، فإذا مسح برأسه تناثرت خطايا رأسه مع ذلك الماء، فإذا غسل", "type": "text", "confidence_scores": null, "reading_index": 6 }, { "top_left_x": 32, "top_left_y": 325, "bottom_right_x": 478, "bottom_right_y": 381, "content": "P(A|B) = \\frac{P(A \\cap B)}{P(B)} + \\frac{x}{n^2}", "type": "text", "confidence_scores": null, "reading_index": 7 } ], "meta": { "template": "math_proof", "hybrid": null, "page_font": "ukij-sulus-tom.ttf", "title_font": "mcs-jeddah-s-u-shadow.ttf", "language": "ar", "script": "arabic", "direction": "rtl", "augmentation": null } }