{ "markdown": "## تعريف\nمِنْ قَوْلِهِ قَدْ عُلِمَا … \"وَالعَلَمَ احْكِيَنَّ\" أَنَّ العَلَمَا 7537 - مُحَرَّكًا حِكَايَةً وَقُدِّرَا … إِعْرَابُهُ وَهْوَ يَكُونُ خَبَرَا 7538\n\\prod_{\\alpha=1}^{n} (1 = \\lambda_\\alpha) = 0\n## برهان\n- إِنْ ضُمَّ أَوْ كُسِرَ أَوْ إِنِ انْفَتَحْ … وَالمُبْتَدَا لَفْظَةُ \"مَنْ\" عَلَى الأَصَحّْ 7539 - كَذَاكَ مَا\n\\nabla_{n} J(n) = \\frac{1}{m} X^T ( \\sigma(X n) - Y )\n## تعريف\nيُحْكَى بِلَفْظٍ أُعْرِبَا … فَهْوَ يَكُونُ فِي الأَصَحِّ مُعْرَبَا 7540 - أَمَّا الذِي يُحْكَى بِمَبْنِيٍّ فَلَا … يُعْرَبُ ظَاهِرًا وَلَا مُؤَوَّلَا\n\\int_{5}^{\\infty} \\ln(\\sigma) \\, d\\sigma = i^2 - C + \\frac{j}{\\beta^2}", "images": [], "tables": [], "hyperlinks": [], "header": null, "footer": null, "dimensions": { "dpi": 96, "height": 512, "width": 617 }, "confidence_scores": { "word_confidence_scores": [ { "text": "##", "confidence": 1.0, "start_index": 0 }, { "text": "تعريف", "confidence": 1.0, "start_index": 3 }, { "text": "مِنْ", "confidence": 1.0, "start_index": 9 }, { "text": "قَوْلِهِ", "confidence": 1.0, "start_index": 14 }, { "text": "قَدْ", "confidence": 1.0, "start_index": 23 }, { "text": "عُلِمَا", "confidence": 1.0, "start_index": 28 }, { "text": "…", "confidence": 1.0, "start_index": 36 }, { "text": "\"وَالعَلَمَ", "confidence": 1.0, "start_index": 38 }, { "text": "احْكِيَنَّ\"", "confidence": 1.0, "start_index": 50 }, { "text": "أَنَّ", "confidence": 1.0, "start_index": 62 }, { "text": "العَلَمَا", "confidence": 1.0, "start_index": 68 }, { "text": "7537", "confidence": 1.0, "start_index": 78 }, { "text": "-", "confidence": 1.0, "start_index": 83 }, { "text": "مُحَرَّكًا", "confidence": 1.0, "start_index": 85 }, { "text": "حِكَايَةً", "confidence": 1.0, "start_index": 96 }, { "text": "وَقُدِّرَا", "confidence": 1.0, "start_index": 106 }, { "text": "…", "confidence": 1.0, "start_index": 117 }, { "text": "إِعْرَابُهُ", "confidence": 1.0, "start_index": 119 }, { "text": "وَهْوَ", "confidence": 1.0, "start_index": 131 }, { "text": "يَكُونُ", "confidence": 1.0, "start_index": 138 }, { "text": "خَبَرَا", "confidence": 1.0, "start_index": 146 }, { "text": "7538", "confidence": 1.0, "start_index": 154 }, { "text": "\\prod_{\\alpha=1}^{n}", "confidence": 1.0, "start_index": 159 }, { "text": "(1", "confidence": 1.0, "start_index": 180 }, { "text": "=", "confidence": 1.0, "start_index": 183 }, { "text": "\\lambda_\\alpha)", "confidence": 1.0, "start_index": 185 }, { "text": "=", "confidence": 1.0, "start_index": 201 }, { "text": "0", "confidence": 1.0, "start_index": 203 }, { "text": "##", "confidence": 1.0, "start_index": 205 }, { "text": "برهان", "confidence": 1.0, "start_index": 208 }, { "text": "-", "confidence": 1.0, "start_index": 214 }, { "text": "إِنْ", "confidence": 1.0, "start_index": 216 }, { "text": "ضُمَّ", "confidence": 1.0, "start_index": 221 }, { "text": "أَوْ", "confidence": 1.0, "start_index": 227 }, { "text": "كُسِرَ", "confidence": 1.0, "start_index": 232 }, { "text": "أَوْ", "confidence": 1.0, "start_index": 239 }, { "text": "إِنِ", "confidence": 1.0, "start_index": 244 }, { "text": "انْفَتَحْ", "confidence": 1.0, "start_index": 249 }, { "text": "…", "confidence": 1.0, "start_index": 259 }, { "text": "وَالمُبْتَدَا", "confidence": 1.0, "start_index": 261 }, { "text": "لَفْظَةُ", "confidence": 1.0, "start_index": 275 }, { "text": "\"مَنْ\"", "confidence": 1.0, "start_index": 284 }, { "text": "عَلَى", "confidence": 1.0, "start_index": 291 }, { "text": "الأَصَحّْ", "confidence": 1.0, "start_index": 297 }, { "text": "7539", "confidence": 1.0, "start_index": 307 }, { "text": "-", "confidence": 1.0, "start_index": 312 }, { "text": "كَذَاكَ", "confidence": 1.0, "start_index": 314 }, { "text": "مَا", "confidence": 1.0, "start_index": 322 }, { "text": "\\nabla_{n}", "confidence": 1.0, "start_index": 326 }, { "text": "J(n)", "confidence": 1.0, "start_index": 337 }, { "text": "=", "confidence": 1.0, "start_index": 342 }, { "text": "\\frac{1}{m}", "confidence": 1.0, "start_index": 344 }, { "text": "X^T", "confidence": 1.0, "start_index": 356 }, { "text": "(", "confidence": 1.0, "start_index": 360 }, { "text": "\\sigma(X", "confidence": 1.0, "start_index": 362 }, { "text": "n)", "confidence": 1.0, "start_index": 371 }, { "text": "-", "confidence": 1.0, "start_index": 374 }, { "text": "Y", "confidence": 1.0, "start_index": 376 }, { "text": ")", "confidence": 1.0, "start_index": 378 }, { "text": "##", "confidence": 1.0, "start_index": 380 }, { "text": "تعريف", "confidence": 1.0, "start_index": 383 }, { "text": "يُحْكَى", "confidence": 1.0, "start_index": 389 }, { "text": "بِلَفْظٍ", "confidence": 1.0, "start_index": 397 }, { "text": "أُعْرِبَا", "confidence": 1.0, "start_index": 406 }, { "text": "…", "confidence": 1.0, "start_index": 416 }, { "text": "فَهْوَ", "confidence": 1.0, "start_index": 418 }, { "text": "يَكُونُ", "confidence": 1.0, "start_index": 425 }, { "text": "فِي", "confidence": 1.0, "start_index": 433 }, { "text": "الأَصَحِّ", "confidence": 1.0, "start_index": 437 }, { "text": "مُعْرَبَا", "confidence": 1.0, "start_index": 447 }, { "text": "7540", "confidence": 1.0, "start_index": 457 }, { "text": "-", "confidence": 1.0, "start_index": 462 }, { "text": "أَمَّا", "confidence": 1.0, "start_index": 464 }, { "text": "الذِي", "confidence": 1.0, "start_index": 471 }, { "text": "يُحْكَى", "confidence": 1.0, "start_index": 477 }, { "text": "بِمَبْنِيٍّ", "confidence": 1.0, "start_index": 485 }, { "text": "فَلَا", "confidence": 1.0, "start_index": 497 }, { "text": "…", "confidence": 1.0, "start_index": 503 }, { "text": "يُعْرَبُ", "confidence": 1.0, "start_index": 505 }, { "text": "ظَاهِرًا", "confidence": 1.0, "start_index": 514 }, { "text": "وَلَا", "confidence": 1.0, "start_index": 523 }, { "text": "مُؤَوَّلَا", "confidence": 1.0, "start_index": 529 }, { "text": "\\int_{5}^{\\infty}", "confidence": 1.0, "start_index": 540 }, { "text": "\\ln(\\sigma)", "confidence": 1.0, "start_index": 558 }, { "text": "\\,", "confidence": 1.0, "start_index": 570 }, { "text": "d\\sigma", "confidence": 1.0, "start_index": 573 }, { "text": "=", "confidence": 1.0, "start_index": 581 }, { "text": "i^2", "confidence": 1.0, "start_index": 583 }, { "text": "-", "confidence": 1.0, "start_index": 587 }, { "text": "C", "confidence": 1.0, "start_index": 589 }, { "text": "+", "confidence": 1.0, "start_index": 591 }, { "text": "\\frac{j}{\\beta^2}", "confidence": 1.0, "start_index": 593 } ], "average_page_confidence_score": 1.0, "minimum_page_confidence_score": 1.0 }, "blocks": [ { "top_left_x": 32, "top_left_y": 32, "bottom_right_x": 581, "bottom_right_y": 49, "content": "تعريف", "type": "title", "confidence_scores": null, "reading_index": 1 }, { "top_left_x": 32, "top_left_y": 54, "bottom_right_x": 581, "bottom_right_y": 76, "content": "مِنْ قَوْلِهِ قَدْ عُلِمَا … \"وَالعَلَمَ احْكِيَنَّ\" أَنَّ العَلَمَا 7537 - مُحَرَّكًا حِكَايَةً وَقُدِّرَا … إِعْرَابُهُ وَهْوَ يَكُونُ خَبَرَا 7538", "type": "text", "confidence_scores": null, "reading_index": 2 }, { "top_left_x": 32, "top_left_y": 82, "bottom_right_x": 581, "bottom_right_y": 147, "content": "\\prod_{\\alpha=1}^{n} (1 = \\lambda_\\alpha) = 0", "type": "text", "confidence_scores": null, "reading_index": 3 }, { "top_left_x": 32, "top_left_y": 191, "bottom_right_x": 581, "bottom_right_y": 208, "content": "برهان", "type": "title", "confidence_scores": null, "reading_index": 4 }, { "top_left_x": 32, "top_left_y": 213, "bottom_right_x": 581, "bottom_right_y": 235, "content": "- إِنْ ضُمَّ أَوْ كُسِرَ أَوْ إِنِ انْفَتَحْ … وَالمُبْتَدَا لَفْظَةُ \"مَنْ\" عَلَى الأَصَحّْ 7539 - كَذَاكَ مَا", "type": "text", "confidence_scores": null, "reading_index": 5 }, { "top_left_x": 32, "top_left_y": 241, "bottom_right_x": 581, "bottom_right_y": 292, "content": "\\nabla_{n} J(n) = \\frac{1}{m} X^T ( \\sigma(X n) - Y )", "type": "text", "confidence_scores": null, "reading_index": 6 }, { "top_left_x": 32, "top_left_y": 336, "bottom_right_x": 581, "bottom_right_y": 353, "content": "تعريف", "type": "title", "confidence_scores": null, "reading_index": 7 }, { "top_left_x": 32, "top_left_y": 358, "bottom_right_x": 581, "bottom_right_y": 380, "content": "يُحْكَى بِلَفْظٍ أُعْرِبَا … فَهْوَ يَكُونُ فِي الأَصَحِّ مُعْرَبَا 7540 - أَمَّا الذِي يُحْكَى بِمَبْنِيٍّ فَلَا … يُعْرَبُ ظَاهِرًا وَلَا مُؤَوَّلَا", "type": "text", "confidence_scores": null, "reading_index": 8 }, { "top_left_x": 32, "top_left_y": 386, "bottom_right_x": 581, "bottom_right_y": 440, "content": "\\int_{5}^{\\infty} \\ln(\\sigma) \\, d\\sigma = i^2 - C + \\frac{j}{\\beta^2}", "type": "text", "confidence_scores": null, "reading_index": 9 } ], "meta": { "template": "math_proof", "hybrid": null, "page_font": "a-ketab-araby-bold.ttf", "title_font": "ae-almohanad.ttf", "language": "ar", "script": "arabic", "direction": "rtl", "augmentation": null } }