{ "markdown": "\\nabla_{n} J(n) = \\frac{1}{m} X^T ( \\sigma(X n) - Y )\n## تعريف\nسليمان، قال: /قال أبو رافع: لم يأمرنى أن أنزله، ولكن ضربت قبته فنزل قال أبى: سألت ابن عيينة عن هذا (1) . رواه مسلم، عن قتيبة وزهير وأبى\n\\nabla_{\\theta} J(\\theta) = \\frac{1}{m} X^T ( \\sigma(X \\theta) - Y ) + \\frac{k}{\\alpha^2}\nP(A|B) = \\frac{P(A \\cap B)}{P(B)} + \\frac{t}{z^2}", "images": [], "tables": [], "hyperlinks": [], "header": null, "footer": null, "dimensions": { "dpi": 96, "height": 339, "width": 702 }, "confidence_scores": { "word_confidence_scores": [ { "text": "\\nabla_{n}", "confidence": 1.0, "start_index": 0 }, { "text": "J(n)", "confidence": 1.0, "start_index": 11 }, { "text": "=", "confidence": 1.0, "start_index": 16 }, { "text": "\\frac{1}{m}", "confidence": 1.0, "start_index": 18 }, { "text": "X^T", "confidence": 1.0, "start_index": 30 }, { "text": "(", "confidence": 1.0, "start_index": 34 }, { "text": "\\sigma(X", "confidence": 1.0, "start_index": 36 }, { "text": "n)", "confidence": 1.0, "start_index": 45 }, { "text": "-", "confidence": 1.0, "start_index": 48 }, { "text": "Y", "confidence": 1.0, "start_index": 50 }, { "text": ")", "confidence": 1.0, "start_index": 52 }, { "text": "##", "confidence": 1.0, "start_index": 54 }, { "text": "تعريف", "confidence": 1.0, "start_index": 57 }, { "text": "سليمان،", "confidence": 1.0, "start_index": 63 }, { "text": "قال:", "confidence": 1.0, "start_index": 71 }, { "text": "/قال", "confidence": 1.0, "start_index": 76 }, { "text": "أبو", "confidence": 1.0, "start_index": 81 }, { "text": "رافع:", "confidence": 1.0, "start_index": 85 }, { "text": "لم", "confidence": 1.0, "start_index": 91 }, { "text": "يأمرنى", "confidence": 1.0, "start_index": 94 }, { "text": "أن", "confidence": 1.0, "start_index": 101 }, { "text": "أنزله،", "confidence": 1.0, "start_index": 104 }, { "text": "ولكن", "confidence": 1.0, "start_index": 111 }, { "text": "ضربت", "confidence": 1.0, "start_index": 116 }, { "text": "قبته", "confidence": 1.0, "start_index": 121 }, { "text": "فنزل", "confidence": 1.0, "start_index": 126 }, { "text": "قال", "confidence": 1.0, "start_index": 131 }, { "text": "أبى:", "confidence": 1.0, "start_index": 135 }, { "text": "سألت", "confidence": 1.0, "start_index": 140 }, { "text": "ابن", "confidence": 1.0, "start_index": 145 }, { "text": "عيينة", "confidence": 1.0, "start_index": 149 }, { "text": "عن", "confidence": 1.0, "start_index": 155 }, { "text": "هذا", "confidence": 1.0, "start_index": 158 }, { "text": "(1)", "confidence": 1.0, "start_index": 162 }, { "text": ".", "confidence": 1.0, "start_index": 166 }, { "text": "رواه", "confidence": 1.0, "start_index": 168 }, { "text": "مسلم،", "confidence": 1.0, "start_index": 173 }, { "text": "عن", "confidence": 1.0, "start_index": 179 }, { "text": "قتيبة", "confidence": 1.0, "start_index": 182 }, { "text": "وزهير", "confidence": 1.0, "start_index": 188 }, { "text": "وأبى", "confidence": 1.0, "start_index": 194 }, { "text": "\\nabla_{\\theta}", "confidence": 1.0, "start_index": 199 }, { "text": "J(\\theta)", "confidence": 1.0, "start_index": 215 }, { "text": "=", "confidence": 1.0, "start_index": 225 }, { "text": "\\frac{1}{m}", "confidence": 1.0, "start_index": 227 }, { "text": "X^T", "confidence": 1.0, "start_index": 239 }, { "text": "(", "confidence": 1.0, "start_index": 243 }, { "text": "\\sigma(X", "confidence": 1.0, "start_index": 245 }, { "text": "\\theta)", "confidence": 1.0, "start_index": 254 }, { "text": "-", "confidence": 1.0, "start_index": 262 }, { "text": "Y", "confidence": 1.0, "start_index": 264 }, { "text": ")", "confidence": 1.0, "start_index": 266 }, { "text": "+", "confidence": 1.0, "start_index": 268 }, { "text": "\\frac{k}{\\alpha^2}", "confidence": 1.0, "start_index": 270 }, { "text": "P(A|B)", "confidence": 1.0, "start_index": 289 }, { "text": "=", "confidence": 1.0, "start_index": 296 }, { "text": "\\frac{P(A", "confidence": 1.0, "start_index": 298 }, { "text": "\\cap", "confidence": 1.0, "start_index": 308 }, { "text": "B)}{P(B)}", "confidence": 1.0, "start_index": 313 }, { "text": "+", "confidence": 1.0, "start_index": 323 }, { "text": "\\frac{t}{z^2}", "confidence": 1.0, "start_index": 325 } ], "average_page_confidence_score": 1.0, "minimum_page_confidence_score": 1.0 }, "blocks": [ { "top_left_x": 20, "top_left_y": 26, "bottom_right_x": 682, "bottom_right_y": 77, "content": "\\nabla_{n} J(n) = \\frac{1}{m} X^T ( \\sigma(X n) - Y )", "type": "text", "confidence_scores": null, "reading_index": 1 }, { "top_left_x": 32, "top_left_y": 95, "bottom_right_x": 666, "bottom_right_y": 122, "content": "تعريف", "type": "title", "confidence_scores": null, "reading_index": 2 }, { "top_left_x": 32, "top_left_y": 127, "bottom_right_x": 666, "bottom_right_y": 149, "content": "سليمان، قال: /قال أبو رافع: لم يأمرنى أن أنزله، ولكن ضربت قبته فنزل قال أبى: سألت ابن عيينة عن هذا (1) . رواه مسلم، عن قتيبة وزهير وأبى", "type": "text", "confidence_scores": null, "reading_index": 3 }, { "top_left_x": 32, "top_left_y": 155, "bottom_right_x": 666, "bottom_right_y": 205, "content": "\\nabla_{\\theta} J(\\theta) = \\frac{1}{m} X^T ( \\sigma(X \\theta) - Y ) + \\frac{k}{\\alpha^2}", "type": "text", "confidence_scores": null, "reading_index": 4 }, { "top_left_x": 20, "top_left_y": 237, "bottom_right_x": 682, "bottom_right_y": 293, "content": "P(A|B) = \\frac{P(A \\cap B)}{P(B)} + \\frac{t}{z^2}", "type": "text", "confidence_scores": null, "reading_index": 5 } ], "meta": { "template": "math_proof", "hybrid": null, "page_font": "bfantezy.ttf", "title_font": "bfantezy.ttf", "language": "ar", "script": "arabic", "direction": "rtl", "augmentation": null } }