| { | |
| "markdown": "## ุชุนุฑูู\nููุฏููู ููู ุฌูููุจููู ุฃู ูู ุฌูุจ ูู ูุตู ุฃู ูู ูุชุญุฉ ุงูุนูู ุฃู ูู ุนุจู ุชูุฎูุฑูุฌู ุจูููุถุงุกู ู ููู ุบูููุฑู ุณููุกู ุฃู ู ู ุบูุฑ ุจุฑุต ูุงู ุงุจู ูุซูุฑ: ุฃู ุฅุฐุง ุฃุฏุฎูุช ูุฏู ูู ุฌูุจ ุฏุฑุนู ุซู ุฃุฎุฑุฌุชูุง ูุฅููุง\n\\mathbb{E}[\\beta] = \\int x f_\\beta(x) dx\n## ู ุจุฑููุฉ\nุชุฎุฑุฌ ุชุชูุฃูุฃ ูุฃููุง ูุทุนุฉ ูู ุฑ ูู ูู ุนุงู ุงูุจุฑู ููุงุถูู ูู ู ุฅููููููู ุฌููุงุญููู ู ููู ุงูุฑููููุจู ุฃู ู ู ุงูุฎููุ ูุงูู ุนูู: ูุงุถู ู ูุฏู ุฅูู ุตุฏุฑู ูุฐูุจ ู ุง ุจู ู ู ูุฑู ุฃู ูุฃุฌู ุงูุญูุฉ ููุฐุงูููู ุฃู ููุจ ุงูุนุตุง ุญูุฉ ูุฎุฑูุฌ ูุฏู ุจูุถุงุก ุจูุฑููุงูุงูู ู ููู ุฑูุจูููู ุฃู ุญุฌุชุงู ููุฑุชุงูุ ูุฏูููุงู ูุงุทุนุงู ูุงุถุญุงู ุนูู ูุฏุฑุฉ\n\\sum_{\\alpha=0}^{\\infty} \\frac{\\lambda^\\alpha}{\\alpha!} = e^{\\lambda}\n\\nabla_{\\alpha} J(\\alpha) = \\frac{1}{m} X^T ( \\sigma(X \\alpha) - Y )\n## ูุธุฑูุฉ\nุงููุงุนู ุงูู ุฎุชุงุฑ ูุตุญุฉ ูุจูุฉ ู ู ุฌุฑู ูุฐุง ุงูุฎุงุฑู ุนูู ูุฏูู ุฅููู ููุฑูุนููููู ููู ูููุงุฆููู ุฃู ูููู ู ู ู ุงูุฑุคุณุงุก ูุงููุจุฑุงุก ูุงูุฃุชุจุงุน ุฅููููููู ู ูุงูููุง ููููู ุงู ูุงุณูููููู ุฃู ุฎุงุฑุฌูู\n\\nabla_{\\mu} J(\\mu) = \\frac{1}{m} X^T ( \\sigma(X \\mu) - Y )\n\\int_{2}^{N} \\ln(\\alpha) \\, d\\alpha = x^2 \\times C\n\\prod_{\\lambda=1}^{n} (1 \\leq i_\\lambda) = 0 + \\frac{i}{\\sigma^2}\n## ุจุฑูุงู\nุนู ุทุงุนุฉ ุงูููุ ู ุฎุงูููู ูุฃู ุฑู ูุฏููู ูุงูู ุฑูุจูู ุฅููููู ููุชูููุชู ู ูููููู ู ููููุณุงู ูุนูู ุฐูู ุงููุจุทู ููุฃูุฎุงูู ุฃููู ููููุชูููููู ุฃู: ุฅุฐุง ุฑุฃููู ููุฃูุฎูู ูุงุฑูููู ูููู ุฃูููุตูุญู ู ููููู ููุณุงูุงู\n\\vec{F} = m\\vec{a}\n## ู ูุงุญุธุฉ\nูุงู ุงุจู ูุซูุฑ: ูุฐูู ุฃู ู ูุณู ุนููู ุงูุณูุงู ูุงู ูู ูุณุงูู ูุซุบุฉ ุจุณุจุจ ู ุง ูุงู ุชูุงูู ุชูู ุงูุฌู ุฑุฉ ุญูู ุฎูุฑ ุจูููุง ูุจูู ุงูุชู ุฑุฉ ุฃู\n\\mathbb{E}[\\lambda] = \\int x f_\\lambda(x) dx\n\\mathbb{E}[t] = \\int x f_t(x) dx + \\frac{y}{\\beta^2}\n\\iint_{D} \\alpha^2 \\cdot i^2 \\, dx \\, dy + \\frac{y}{x^2}", | |
| "images": [], | |
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| "hyperlinks": [], | |
| "header": null, | |
| "footer": null, | |
| "dimensions": { | |
| "dpi": 96, | |
| "height": 1196, | |
| "width": 842 | |
| }, | |
| "confidence_scores": { | |
| "word_confidence_scores": [ | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
| "start_index": 0 | |
| }, | |
| { | |
| "text": "ุชุนุฑูู", | |
| "confidence": 1.0, | |
| "start_index": 3 | |
| }, | |
| { | |
| "text": "ููุฏููู", | |
| "confidence": 1.0, | |
| "start_index": 9 | |
| }, | |
| { | |
| "text": "ููู", | |
| "confidence": 1.0, | |
| "start_index": 16 | |
| }, | |
| { | |
| "text": "ุฌูููุจููู", | |
| "confidence": 1.0, | |
| "start_index": 20 | |
| }, | |
| { | |
| "text": "ุฃู", | |
| "confidence": 1.0, | |
| "start_index": 29 | |
| }, | |
| { | |
| "text": "ูู", | |
| "confidence": 1.0, | |
| "start_index": 32 | |
| }, | |
| { | |
| "text": "ุฌูุจ", | |
| "confidence": 1.0, | |
| "start_index": 35 | |
| }, | |
| { | |
| "text": "ูู ูุตู", | |
| "confidence": 1.0, | |
| "start_index": 39 | |
| }, | |
| { | |
| "text": "ุฃู", | |
| "confidence": 1.0, | |
| "start_index": 45 | |
| }, | |
| { | |
| "text": "ูู", | |
| "confidence": 1.0, | |
| "start_index": 48 | |
| }, | |
| { | |
| "text": "ูุชุญุฉ", | |
| "confidence": 1.0, | |
| "start_index": 51 | |
| }, | |
| { | |
| "text": "ุงูุนูู", | |
| "confidence": 1.0, | |
| "start_index": 56 | |
| }, | |
| { | |
| "text": "ุฃู", | |
| "confidence": 1.0, | |
| "start_index": 62 | |
| }, | |
| { | |
| "text": "ูู", | |
| "confidence": 1.0, | |
| "start_index": 65 | |
| }, | |
| { | |
| "text": "ุนุจู", | |
| "confidence": 1.0, | |
| "start_index": 68 | |
| }, | |
| { | |
| "text": "ุชูุฎูุฑูุฌู", | |
| "confidence": 1.0, | |
| "start_index": 72 | |
| }, | |
| { | |
| "text": "ุจูููุถุงุกู", | |
| "confidence": 1.0, | |
| "start_index": 81 | |
| }, | |
| { | |
| "text": "ู ููู", | |
| "confidence": 1.0, | |
| "start_index": 90 | |
| }, | |
| { | |
| "text": "ุบูููุฑู", | |
| "confidence": 1.0, | |
| "start_index": 95 | |
| }, | |
| { | |
| "text": "ุณููุกู", | |
| "confidence": 1.0, | |
| "start_index": 102 | |
| }, | |
| { | |
| "text": "ุฃู", | |
| "confidence": 1.0, | |
| "start_index": 108 | |
| }, | |
| { | |
| "text": "ู ู", | |
| "confidence": 1.0, | |
| "start_index": 111 | |
| }, | |
| { | |
| "text": "ุบูุฑ", | |
| "confidence": 1.0, | |
| "start_index": 114 | |
| }, | |
| { | |
| "text": "ุจุฑุต", | |
| "confidence": 1.0, | |
| "start_index": 118 | |
| }, | |
| { | |
| "text": "ูุงู", | |
| "confidence": 1.0, | |
| "start_index": 122 | |
| }, | |
| { | |
| "text": "ุงุจู", | |
| "confidence": 1.0, | |
| "start_index": 126 | |
| }, | |
| { | |
| "text": "ูุซูุฑ:", | |
| "confidence": 1.0, | |
| "start_index": 130 | |
| }, | |
| { | |
| "text": "ุฃู", | |
| "confidence": 1.0, | |
| "start_index": 136 | |
| }, | |
| { | |
| "text": "ุฅุฐุง", | |
| "confidence": 1.0, | |
| "start_index": 139 | |
| }, | |
| { | |
| "text": "ุฃุฏุฎูุช", | |
| "confidence": 1.0, | |
| "start_index": 143 | |
| }, | |
| { | |
| "text": "ูุฏู", | |
| "confidence": 1.0, | |
| "start_index": 149 | |
| }, | |
| { | |
| "text": "ูู", | |
| "confidence": 1.0, | |
| "start_index": 153 | |
| }, | |
| { | |
| "text": "ุฌูุจ", | |
| "confidence": 1.0, | |
| "start_index": 156 | |
| }, | |
| { | |
| "text": "ุฏุฑุนู", | |
| "confidence": 1.0, | |
| "start_index": 160 | |
| }, | |
| { | |
| "text": "ุซู ", | |
| "confidence": 1.0, | |
| "start_index": 165 | |
| }, | |
| { | |
| "text": "ุฃุฎุฑุฌุชูุง", | |
| "confidence": 1.0, | |
| "start_index": 168 | |
| }, | |
| { | |
| "text": "ูุฅููุง", | |
| "confidence": 1.0, | |
| "start_index": 176 | |
| }, | |
| { | |
| "text": "\\mathbb{E}[\\beta]", | |
| "confidence": 1.0, | |
| "start_index": 182 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 200 | |
| }, | |
| { | |
| "text": "\\int", | |
| "confidence": 1.0, | |
| "start_index": 202 | |
| }, | |
| { | |
| "text": "x", | |
| "confidence": 1.0, | |
| "start_index": 207 | |
| }, | |
| { | |
| "text": "f_\\beta(x)", | |
| "confidence": 1.0, | |
| "start_index": 209 | |
| }, | |
| { | |
| "text": "dx", | |
| "confidence": 1.0, | |
| "start_index": 220 | |
| }, | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
| "start_index": 223 | |
| }, | |
| { | |
| "text": "ู ุจุฑููุฉ", | |
| "confidence": 1.0, | |
| "start_index": 226 | |
| }, | |
| { | |
| "text": "ุชุฎุฑุฌ", | |
| "confidence": 1.0, | |
| "start_index": 233 | |
| }, | |
| { | |
| "text": "ุชุชูุฃูุฃ", | |
| "confidence": 1.0, | |
| "start_index": 238 | |
| }, | |
| { | |
| "text": "ูุฃููุง", | |
| "confidence": 1.0, | |
| "start_index": 245 | |
| }, | |
| { | |
| "text": "ูุทุนุฉ", | |
| "confidence": 1.0, | |
| "start_index": 251 | |
| }, | |
| { | |
| "text": "ูู ุฑ", | |
| "confidence": 1.0, | |
| "start_index": 256 | |
| }, | |
| { | |
| "text": "ูู", | |
| "confidence": 1.0, | |
| "start_index": 260 | |
| }, | |
| { | |
| "text": "ูู ุนุงู", | |
| "confidence": 1.0, | |
| "start_index": 263 | |
| }, | |
| { | |
| "text": "ุงูุจุฑู", | |
| "confidence": 1.0, | |
| "start_index": 269 | |
| }, | |
| { | |
| "text": "ููุงุถูู ูู ู", | |
| "confidence": 1.0, | |
| "start_index": 275 | |
| }, | |
| { | |
| "text": "ุฅููููููู", | |
| "confidence": 1.0, | |
| "start_index": 285 | |
| }, | |
| { | |
| "text": "ุฌููุงุญููู", | |
| "confidence": 1.0, | |
| "start_index": 294 | |
| }, | |
| { | |
| "text": "ู ููู", | |
| "confidence": 1.0, | |
| "start_index": 303 | |
| }, | |
| { | |
| "text": "ุงูุฑููููุจู", | |
| "confidence": 1.0, | |
| "start_index": 308 | |
| }, | |
| { | |
| "text": "ุฃู", | |
| "confidence": 1.0, | |
| "start_index": 318 | |
| }, | |
| { | |
| "text": "ู ู", | |
| "confidence": 1.0, | |
| "start_index": 321 | |
| }, | |
| { | |
| "text": "ุงูุฎููุ", | |
| "confidence": 1.0, | |
| "start_index": 324 | |
| }, | |
| { | |
| "text": "ูุงูู ุนูู:", | |
| "confidence": 1.0, | |
| "start_index": 331 | |
| }, | |
| { | |
| "text": "ูุงุถู ู ", | |
| "confidence": 1.0, | |
| "start_index": 340 | |
| }, | |
| { | |
| "text": "ูุฏู", | |
| "confidence": 1.0, | |
| "start_index": 346 | |
| }, | |
| { | |
| "text": "ุฅูู", | |
| "confidence": 1.0, | |
| "start_index": 350 | |
| }, | |
| { | |
| "text": "ุตุฏุฑู", | |
| "confidence": 1.0, | |
| "start_index": 354 | |
| }, | |
| { | |
| "text": "ูุฐูุจ", | |
| "confidence": 1.0, | |
| "start_index": 359 | |
| }, | |
| { | |
| "text": "ู ุง", | |
| "confidence": 1.0, | |
| "start_index": 364 | |
| }, | |
| { | |
| "text": "ุจู", | |
| "confidence": 1.0, | |
| "start_index": 367 | |
| }, | |
| { | |
| "text": "ู ู", | |
| "confidence": 1.0, | |
| "start_index": 370 | |
| }, | |
| { | |
| "text": "ูุฑู", | |
| "confidence": 1.0, | |
| "start_index": 373 | |
| }, | |
| { | |
| "text": "ุฃู", | |
| "confidence": 1.0, | |
| "start_index": 377 | |
| }, | |
| { | |
| "text": "ูุฃุฌู", | |
| "confidence": 1.0, | |
| "start_index": 380 | |
| }, | |
| { | |
| "text": "ุงูุญูุฉ", | |
| "confidence": 1.0, | |
| "start_index": 385 | |
| }, | |
| { | |
| "text": "ููุฐุงูููู", | |
| "confidence": 1.0, | |
| "start_index": 391 | |
| }, | |
| { | |
| "text": "ุฃู", | |
| "confidence": 1.0, | |
| "start_index": 400 | |
| }, | |
| { | |
| "text": "ููุจ", | |
| "confidence": 1.0, | |
| "start_index": 403 | |
| }, | |
| { | |
| "text": "ุงูุนุตุง", | |
| "confidence": 1.0, | |
| "start_index": 407 | |
| }, | |
| { | |
| "text": "ุญูุฉ", | |
| "confidence": 1.0, | |
| "start_index": 413 | |
| }, | |
| { | |
| "text": "ูุฎุฑูุฌ", | |
| "confidence": 1.0, | |
| "start_index": 417 | |
| }, | |
| { | |
| "text": "ูุฏู", | |
| "confidence": 1.0, | |
| "start_index": 423 | |
| }, | |
| { | |
| "text": "ุจูุถุงุก", | |
| "confidence": 1.0, | |
| "start_index": 427 | |
| }, | |
| { | |
| "text": "ุจูุฑููุงูุงูู", | |
| "confidence": 1.0, | |
| "start_index": 433 | |
| }, | |
| { | |
| "text": "ู ููู", | |
| "confidence": 1.0, | |
| "start_index": 444 | |
| }, | |
| { | |
| "text": "ุฑูุจูููู", | |
| "confidence": 1.0, | |
| "start_index": 449 | |
| }, | |
| { | |
| "text": "ุฃู", | |
| "confidence": 1.0, | |
| "start_index": 457 | |
| }, | |
| { | |
| "text": "ุญุฌุชุงู", | |
| "confidence": 1.0, | |
| "start_index": 460 | |
| }, | |
| { | |
| "text": "ููุฑุชุงูุ", | |
| "confidence": 1.0, | |
| "start_index": 466 | |
| }, | |
| { | |
| "text": "ูุฏูููุงู", | |
| "confidence": 1.0, | |
| "start_index": 474 | |
| }, | |
| { | |
| "text": "ูุงุทุนุงู", | |
| "confidence": 1.0, | |
| "start_index": 482 | |
| }, | |
| { | |
| "text": "ูุงุถุญุงู", | |
| "confidence": 1.0, | |
| "start_index": 489 | |
| }, | |
| { | |
| "text": "ุนูู", | |
| "confidence": 1.0, | |
| "start_index": 496 | |
| }, | |
| { | |
| "text": "ูุฏุฑุฉ", | |
| "confidence": 1.0, | |
| "start_index": 500 | |
| }, | |
| { | |
| "text": "\\sum_{\\alpha=0}^{\\infty}", | |
| "confidence": 1.0, | |
| "start_index": 505 | |
| }, | |
| { | |
| "text": "\\frac{\\lambda^\\alpha}{\\alpha!}", | |
| "confidence": 1.0, | |
| "start_index": 530 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 561 | |
| }, | |
| { | |
| "text": "e^{\\lambda}", | |
| "confidence": 1.0, | |
| "start_index": 563 | |
| }, | |
| { | |
| "text": "\\nabla_{\\alpha}", | |
| "confidence": 1.0, | |
| "start_index": 575 | |
| }, | |
| { | |
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| { | |
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| { | |
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| }, | |
| { | |
| "text": "ูุจูุฉ", | |
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| "text": "ู ู", | |
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| "text": "ุฌุฑู", | |
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| "text": "ูุฐุง", | |
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| { | |
| "text": "ุงูุฎุงุฑู", | |
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| { | |
| "text": "ูุงููุจุฑุงุก", | |
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| { | |
| "text": "ูุงูุฃุชุจุงุน", | |
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| { | |
| "text": "ููููู ุงู", | |
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| "text": "ูุงุณูููููู", | |
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| { | |
| "text": "ุฃู", | |
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| }, | |
| { | |
| "text": "ุฎุงุฑุฌูู", | |
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| { | |
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| { | |
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| { | |
| "text": "\\ln(\\alpha)", | |
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| "text": "ุงูููุ", | |
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| "text": "ุฑูุจูู", | |
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| "text": "ููุชูููุชู", | |
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| { | |
| "text": "ู ูููููู ู", | |
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| { | |
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| "text": "ุฐูู", | |
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| { | |
| "text": "ุงููุจุทู", | |
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| "text": "ููุฃูุฎุงูู", | |
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| "text": "ุฃููู", | |
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| "text": "ููููุชูููููู", | |
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| "text": "ุฅุฐุง", | |
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| "text": "ุฑุฃููู", | |
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| "text": "ุฃูููุตูุญู", | |
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| { | |
| "text": "ููุณุงูุงู", | |
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| "text": "ู ูุงุญุธุฉ", | |
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| "text": "ูุงู", | |
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| "text": "ุงุจู", | |
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| "text": "ูุฐูู", | |
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| { | |
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| { | |
| "text": "ูุงู", | |
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| "text": "ูู", | |
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| "text": "ูุณุงูู", | |
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| }, | |
| { | |
| "text": "ูุซุบุฉ", | |
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| }, | |
| { | |
| "text": "ุจุณุจุจ", | |
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| "text": "ู ุง", | |
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| { | |
| "text": "ุชูู", | |
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| "text": "ุงูุฌู ุฑุฉ", | |
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| "text": "ุฎูุฑ", | |
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| { | |
| "text": "ุจูููุง", | |
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| "text": "ูุจูู", | |
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| "text": "ุงูุชู ุฑุฉ", | |
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| { | |
| "text": "ุฃู", | |
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| { | |
| "text": "\\mathbb{E}[\\lambda]", | |
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| "content": "ููุฏููู ููู ุฌูููุจููู ุฃู ูู ุฌูุจ ูู ูุตู ุฃู ูู ูุชุญุฉ ุงูุนูู ุฃู ูู ุนุจู ุชูุฎูุฑูุฌู ุจูููุถุงุกู ู ููู ุบูููุฑู ุณููุกู ุฃู ู ู ุบูุฑ ุจุฑุต ูุงู ุงุจู ูุซูุฑ: ุฃู ุฅุฐุง ุฃุฏุฎูุช ูุฏู ูู ุฌูุจ ุฏุฑุนู ุซู ุฃุฎุฑุฌุชูุง ูุฅููุง", | |
| "type": "text", | |
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| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 127, | |
| "bottom_right_x": 786, | |
| "bottom_right_y": 181, | |
| "content": "\\mathbb{E}[\\beta] = \\int x f_\\beta(x) dx", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 3 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 225, | |
| "bottom_right_x": 786, | |
| "bottom_right_y": 244, | |
| "content": "ู ุจุฑููุฉ", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 4 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 249, | |
| "bottom_right_x": 786, | |
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| "content": "ุชุฎุฑุฌ ุชุชูุฃูุฃ ูุฃููุง ูุทุนุฉ ูู ุฑ ูู ูู ุนุงู ุงูุจุฑู ููุงุถูู ูู ู ุฅููููููู ุฌููุงุญููู ู ููู ุงูุฑููููุจู ุฃู ู ู ุงูุฎููุ ูุงูู ุนูู: ูุงุถู ู ูุฏู ุฅูู ุตุฏุฑู ูุฐูุจ ู ุง ุจู ู ู ูุฑู ุฃู ูุฃุฌู ุงูุญูุฉ ููุฐุงูููู ุฃู ููุจ ุงูุนุตุง ุญูุฉ ูุฎุฑูุฌ ูุฏู ุจูุถุงุก ุจูุฑููุงูุงูู ู ููู ุฑูุจูููู ุฃู ุญุฌุชุงู ููุฑุชุงูุ ูุฏูููุงู ูุงุทุนุงู ูุงุถุญุงู ุนูู ูุฏุฑุฉ", | |
| "type": "text", | |
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| "reading_index": 5 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 299, | |
| "bottom_right_x": 786, | |
| "bottom_right_y": 364, | |
| "content": "\\sum_{\\alpha=0}^{\\infty} \\frac{\\lambda^\\alpha}{\\alpha!} = e^{\\lambda}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 6 | |
| }, | |
| { | |
| "top_left_x": 40, | |
| "top_left_y": 396, | |
| "bottom_right_x": 802, | |
| "bottom_right_y": 447, | |
| "content": "\\nabla_{\\alpha} J(\\alpha) = \\frac{1}{m} X^T ( \\sigma(X \\alpha) - Y )", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 7 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 465, | |
| "bottom_right_x": 786, | |
| "bottom_right_y": 484, | |
| "content": "ูุธุฑูุฉ", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 8 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 489, | |
| "bottom_right_x": 786, | |
| "bottom_right_y": 511, | |
| "content": "ุงููุงุนู ุงูู ุฎุชุงุฑ ูุตุญุฉ ูุจูุฉ ู ู ุฌุฑู ูุฐุง ุงูุฎุงุฑู ุนูู ูุฏูู ุฅููู ููุฑูุนููููู ููู ูููุงุฆููู ุฃู ูููู ู ู ู ุงูุฑุคุณุงุก ูุงููุจุฑุงุก ูุงูุฃุชุจุงุน ุฅููููููู ู ูุงูููุง ููููู ุงู ูุงุณูููููู ุฃู ุฎุงุฑุฌูู", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 9 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 517, | |
| "bottom_right_x": 786, | |
| "bottom_right_y": 567, | |
| "content": "\\nabla_{\\mu} J(\\mu) = \\frac{1}{m} X^T ( \\sigma(X \\mu) - Y )", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 10 | |
| }, | |
| { | |
| "top_left_x": 40, | |
| "top_left_y": 599, | |
| "bottom_right_x": 802, | |
| "bottom_right_y": 658, | |
| "content": "\\int_{2}^{N} \\ln(\\alpha) \\, d\\alpha = x^2 \\times C", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 11 | |
| }, | |
| { | |
| "top_left_x": 40, | |
| "top_left_y": 664, | |
| "bottom_right_x": 802, | |
| "bottom_right_y": 740, | |
| "content": "\\prod_{\\lambda=1}^{n} (1 \\leq i_\\lambda) = 0 + \\frac{i}{\\sigma^2}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 12 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 758, | |
| "bottom_right_x": 786, | |
| "bottom_right_y": 777, | |
| "content": "ุจุฑูุงู", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 13 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 782, | |
| "bottom_right_x": 786, | |
| "bottom_right_y": 804, | |
| "content": "ุนู ุทุงุนุฉ ุงูููุ ู ุฎุงูููู ูุฃู ุฑู ูุฏููู ูุงูู ุฑูุจูู ุฅููููู ููุชูููุชู ู ูููููู ู ููููุณุงู ูุนูู ุฐูู ุงููุจุทู ููุฃูุฎุงูู ุฃููู ููููุชูููููู ุฃู: ุฅุฐุง ุฑุฃููู ููุฃูุฎูู ูุงุฑูููู ูููู ุฃูููุตูุญู ู ููููู ููุณุงูุงู", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 14 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 810, | |
| "bottom_right_x": 786, | |
| "bottom_right_y": 849, | |
| "content": "\\vec{F} = m\\vec{a}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 15 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 893, | |
| "bottom_right_x": 786, | |
| "bottom_right_y": 912, | |
| "content": "ู ูุงุญุธุฉ", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 16 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 917, | |
| "bottom_right_x": 786, | |
| "bottom_right_y": 940, | |
| "content": "ูุงู ุงุจู ูุซูุฑ: ูุฐูู ุฃู ู ูุณู ุนููู ุงูุณูุงู ูุงู ูู ูุณุงูู ูุซุบุฉ ุจุณุจุจ ู ุง ูุงู ุชูุงูู ุชูู ุงูุฌู ุฑุฉ ุญูู ุฎูุฑ ุจูููุง ูุจูู ุงูุชู ุฑุฉ ุฃู", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 17 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 946, | |
| "bottom_right_x": 786, | |
| "bottom_right_y": 1000, | |
| "content": "\\mathbb{E}[\\lambda] = \\int x f_\\lambda(x) dx", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 18 | |
| }, | |
| { | |
| "top_left_x": 40, | |
| "top_left_y": 1032, | |
| "bottom_right_x": 802, | |
| "bottom_right_y": 1086, | |
| "content": "\\mathbb{E}[t] = \\int x f_t(x) dx + \\frac{y}{\\beta^2}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 19 | |
| }, | |
| { | |
| "top_left_x": 40, | |
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| "bottom_right_x": 802, | |
| "bottom_right_y": 1148, | |
| "content": "\\iint_{D} \\alpha^2 \\cdot i^2 \\, dx \\, dy + \\frac{y}{x^2}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 20 | |
| } | |
| ], | |
| "meta": { | |
| "template": "math_proof", | |
| "hybrid": null, | |
| "page_font": "iwan-zaza-personal.otf", | |
| "title_font": "divani-mazar.ttf", | |
| "language": "ar", | |
| "script": "arabic", | |
| "direction": "rtl", | |
| "augmentation": null | |
| } | |
| } |