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{
"markdown": "## ุชุนุฑูŠู\nูˆุณู„ู… ยซุฃุตุฏู‚ ูƒู„ู…ุฉ ู‚ุงู„ู‡ุง ุงู„ุดุงุนุฑ ูƒู„ู…ุฉ ู„ุจูŠุฏ: ุฃู„ุง ูƒู„ ุดุฆ ู…ุง ุฎู„ุง ุงู„ู„ู‡ ุจุงุทู„ยป ูˆู‚ุงู„ ู…ุฌุงู‡ุฏ ูˆุงู„ุซูˆุฑูŠ ููŠ ู‚ูˆู„ู‡: ูƒูู„ู‘ู ุดูŽูŠู’ุกู ู‡ุงู„ููƒูŒ ุฅูู„ู‘ูŽุง ูˆูŽุฌู’ู‡ูŽู‡ู ุฃูŠ ุฅู„ุง ู…ุง\n\\vec{F} = m\\vec{a} + \\frac{\\alpha}{\\beta^2}\n## ู…ุจุฑู‡ู†ุฉ\nุฃุฑูŠุฏ ุจู‡ ูˆุฌู‡ู‡ุŒ ูˆุญูƒุงู‡ ุงู„ุจุฎุงุฑูŠ ููŠ ุตุญูŠุญู‡ ูƒุงู„ู…ู‚ุฑุฑ ู„ู‡. ู‚ุงู„ ุงุจู† ุฌุฑูŠุฑ: ูˆูŠุณุชุดู‡ุฏ ู…ู† ู‚ุงู„ ุฐู„ูƒ ุจู‚ูˆู„ ุงู„ุดุงุนุฑ: ุฃุณุชุบูุฑ ุงู„ู„ู‡ ุฐู†ุจุง ู„ุณุช ู…ุญุตูŠู‡ โ€ฆ ุฑุจ ุงู„ุนุจุงุฏ ุฅู„ูŠู‡ ุงู„ูˆุฌู‡ ูˆุงู„ุนู…ู„ ูˆู‡ุฐุง ุงู„ู‚ูˆู„ ู„ุง ูŠู†ุงููŠ ุงู„ู‚ูˆู„ ุงู„ุฃูˆู„ ูุฅู† ู‡ุฐุง ุฅุฎุจุงุฑ ุนู† ูƒู„\n\\lambda_{n+1} = \\lambda_n - \\alpha \\nabla f(\\lambda_n)\n\\nabla_{y} J(y) = \\frac{1}{m} X^T ( \\sigma(X y) - Y ) + \\frac{t}{z^2}\n\\sum_{t=0}^{100} \\frac{t^t}{t!} = e^{t}\n## ุจุฑู‡ุงู†\nุงู„ุฃุนู…ุงู„ ุจุฃู†ู‡ุง ุจุงุทู„ุฉ ุฅู„ุง ู…ุง ุฃุฑูŠุฏ ุจู‡ ูˆุฌู‡ ุงู„ู„ู‡ ุชุนุงู„ู‰ ู…ู† ุงู„ุฃุนู…ุงู„ ุงู„ุตุงู„ุญุฉ ุงู„ู…ุทุงุจู‚ุฉ ู„ู„ุดุฑูŠุนุฉุŒ ูˆุงู„ู‚ูˆู„ ุงู„ุฃูˆู„ ู…ู‚ุชุถุงู‡ ุฃู† ูƒู„ ุงู„ุฐูˆุงุช ูุงู†ูŠุฉ ูˆุฒุงุฆู„ุฉ ุฅู„ุง ุฐุงุชู‡ ุชุนุงู„ู‰ ูˆุชู‚ุฏุณุŒ ูุฅู†ู‡ ุงู„ุฃูˆู„ ูˆุงู„ุขุฎุฑุŒ ุงู„ุฐูŠ ู‡ูˆ\n\\vec{F} = m\\vec{a}\n\\iint_{D} n^2 \\geq \\beta^2 \\, dx \\, dy\n## ุจุฑู‡ุงู†\nู‚ุจู„ ูƒู„ ุดุฆ ูˆุจุนุฏ ูƒู„ ุดุฆ. 2 - ูˆุจู…ู†ุงุณุจุฉ ู‚ูˆู„ู‡ ุชุนุงู„ู‰: ูƒูู„ู‘ู ุดูŽูŠู’ุกู ู‡ุงู„ููƒูŒ ุฅูู„ู‘ูŽุง ูˆูŽุฌู’ู‡ูŽู‡ู ุฐูƒุฑ ุงุจู† ูƒุซูŠุฑ ู…ุง ุฐูƒุฑู‡ ุงุจู† ุฃุจูŠ ุงู„ุฏู†ูŠุง ููŠ ูƒุชุงุจ (ุงู„ุชููƒุฑ ูˆุงู„ุงุนุชุจุงุฑ) ุจุณู†ุฏู‡ ุฅู„ู‰ ุงู„ูˆู„ูŠุฏ ู‚ุงู„: ูƒุงู† ุงุจู† ุนู…ุฑ ุฅุฐุง ุฃุฑุงุฏ ุฃู† ูŠุชุนุงู‡ุฏ ู‚ู„ุจู‡ ูŠุฃุชูŠ ุงู„ุฎุฑุจุฉุŒ ููŠู‚ู ุนู„ู‰ ุจุงุจู‡ุงุŒ ููŠู†ุงุฏูŠ ุจุตูˆุช ุญุฒูŠู† ููŠู‚ูˆู„: ุฃูŠู†\n\\iint_{D} x^2 \\approx j^2 \\, dx \\, dy\n## ู…ุจุฑู‡ู†ุฉ\nููŠ ุนูŠู†ู‡ ุฃูุนุงู„ู‡ ูˆุฃู‚ูˆุงู„ู‡ ูˆุฃุญูˆุงู„ู‡ุŒ ูˆู„ู… ูŠูุชุญ ู„ู‡ ุณุจูŠู„ ุฑุคูŠุฉ ู…ู†ุฉ ุงู„ู„ู‡ุŒ ูุงูุชุฎุฑ ุจู‡ุง ูˆุงุฏุนุงู‡ุง ู„ู†ูุณู‡ุŒ ูุดุคู…ู‡ ูŠู‡ู„ูƒู‡ ูŠูˆู…ุง ูƒู…ุง ุฎุณู ุจู‚ุงุฑูˆู† ู„ู…ุง ุงุฏุนู‰ ู„ู†ูุณู‡ ูุถู„ุง.\n\\iint_{D} \\beta^2 \\times x^2 \\, dx \\, dy + \\frac{i}{x^2}",
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