dataset / data /MachineThree_002 /annotations /sample_0009991.json
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{
"markdown": "ู…ู‚ุฏู…ุฉ ุดุงู…ู„ุฉ ููŠ ุนู„ู… ุงู„ุงุฌุชู…ุงุน\nุงู„ู…ุนุทูŠุงุช ูˆุงู„ุญู‚ุงุฆู‚ ุงู„ุฃุณุงุณูŠุฉ\nุจู†ูŠ ู…ุฑุฏุงุณ ู…ู† ุฒูŠุงุฏ ูุฃูƒุฑู…ู‡ู… ุงู„ู…ุนุฒู‘ ูˆุฃุฌุฒู„ ู„ู‡ู… ุนุทุงูŠุงู‡ ูู„ู… ูŠุบู† ุดูŠุฆุงุŒ ูˆุฎุฑุฌูˆุง ุฅู„ู‰ ู…ุง ูƒุงู†ูˆุง ุนู„ูŠู‡ ู…ู† ุงู„ูุณุงุฏุŒ ูˆู†ุฒู„ ุจุฅูุฑูŠู‚ูŠุฉ ุจู„ุงุก ู„ู… ูŠู†ุฒู„ ุจู‡ุง ู…ุซู„ู‡ุŒ ูุฎุฑุฌ ุฅู„ูŠู‡ู… ุงู„ู…ุนุฒู‘ ููŠ ุฌู…ูˆุนู‡ ู…ู† ุตู†ู‡ุงุฌุฉ ูˆุงู„ุณูˆุฏุงู† ู†ุญูˆุง ู…ู† ุซู„ุงุซูŠู† ุฃู„ูุงุŒ ูˆุงู„ุนุฑุจ ููŠ ุซู„ุงุซุฉ ุขู„ุงู ูู‡ุฒู…ูˆู‡ ูˆุฃุซุฎู†ูˆุง ููŠ ุตู†ู‡ุงุฌุฉ ุจุงู„ู‚ุชู„ ูˆุงุณุชุจุงุญูˆู‡ู…ุŒ ูˆุฏุฎู„ ุงู„ู…ุนุฒู‘ ุงู„ู‚ูŠุฑูˆุงู† ู…ู‡ุฒูˆู…ุง. ุซู… ุจูŠุชู‡ู… ูŠูˆู… ุงู„ู†ุญุฑ ูˆู‡ู… ููŠ ุงู„ุตู„ุงุฉ ูู‡ุฒู…ูˆู‡ ุฃุนุธู… ู…ู† ุงู„ุฃูˆู„ู‰. ุซู… ุณุงุฑ ุฅู„ูŠู‡ู… ุจุนุฏ ุฃู† ุงุญุชุดุฏ ุฒู†ุงุชุฉ ู…ุนู‡ ูุงู†ู‡ุฒู… ุซุงู„ุซุฉ ูˆู‚ุชู„ ู…ู† ุนุณูƒุฑู‡ ู†ุญูˆ ู…ู† ุซู„ุงุซุฉ ุขู„ุงูุŒ ูˆู†ุฒู„ ุงู„ุนุฑุจ ุจู…ุตู„ู‘ู‰ ุงู„ู‚ูŠุฑูˆุงู† ูˆูˆุงู„ูˆุง ุนู„ูŠู‡ู… ุงู„ู‡ุฒุงุฆู…ุŒ ูˆู‚ุชู„ุช ู…ู†ู‡ู… ุฃู…ู…. ุซู… ุฃุจุงุญ ู„ู‡ู… ุงู„ู…ุนุฒู‘ ุฏุฎูˆู„ ุงู„ู‚ูŠุฑูˆุงู† ู„ู„ู…ูŠุฑุฉ ูุงุณุชุทุงู„ุช ุนู„ูŠู‡ู… ุงู„ุนุงู…ู‘ุฉ ูู‚ุชู„ูˆุง ู…ู†ู‡ู… ุฎู„ู‚ุง ูˆุฃุฏุงุฑ ุงู„ู…ุนุฒู‘ ุงู„ุณูˆุฑ ุนู„ู‰ ุงู„ู‚ูŠุฑูˆุงู† ุณู†ุฉ ุณุช ูˆุฃุฑุจุนูŠู†. ุซู… ู…ู„ูƒ ู…ุคู†ุณ ุจู† ูŠุญูŠู‰ ู…ุฏูŠู†ุฉ ุจุงุฌุฉ ุณู†ุฉ ุณุช ูˆุฃุฑุจุนูŠู† ูˆุฃู…ุฑ ุงู„ู…ุนุฒ ุฃู‡ู„ ุงู„ู‚ูŠุฑูˆุงู† ุจุงู„ุงู†ุชู‚ุงู„ ุฅู„ู‰ ุงู„ู…ู‡ุฏูŠู‘ุฉ ู„ู„ุชุญุตู‘ู† ุจู‡ุงุŒ ูˆูˆู„ู‘ู‰ ุนู„ูŠู‡ุง ุงุจู†ู‡ ุชูŠู…ุง [1] ุณู†ุฉ ุฎู…ุณ ูˆุฃุฑุจุนูŠู†. ุซู… ุงู†ุชู‚ู„ ุฅู„ูŠู‡ุง ุณู†ุฉ ุชุณุน ูˆุฃุฑุจุนูŠู†ุŒ ูˆุงู†ุทู„ู‚ุช ุฃูŠุฏูŠ ุงู„ุนุฑุจ ุนู„ู‰ ุงู„ู‚ูŠุฑูˆุงู† ุจุงู„ู†ู‡ุจ\nุงู„ู…ุณุชุฌุฏุงุช ูˆุงู„ุชุทูˆุฑุงุช ุงู„ุฑุงู‡ู†ุฉ\nู…ู† ุงู„ุฃุชุฑุงูƒ ู„ู„ุชุบู„ู‘ุจ ุนู„ู‰ ุงู„ุฏูˆู„ุฉ. ูู…ู† ุงุณุชูˆุญุดุช ู…ู†ู‡ ุฃุบุฑุช ุจู‡ ุงู„ู…ุณุชู†ุตุฑ ูู‚ุชู„ู‡. ูุงุณุชูˆุฒุฑุช ุฃูˆู„ุง ุฃุจุง ุงู„ูุชุญ ุงู„ูู„ุงุญูŠุŒ ุซู… ุงุณุชูˆุญุดุช ู…ู†ู‡ ูู‚ุจุถ ุนู„ูŠู‡ ุงู„ู…ุณุชู†ุตุฑ ูˆู‚ุชู„ู‡ุŒ ูˆูˆุฒุฑ ุจุนุฏู‡ ุฃุจุง ุงู„ุจุฑูƒุงุช ุญุณู† ุจู† ู…ุญู…ุฏ ูˆุนุฒู„ู‡. ุซู… ูˆู„ู‘ู‰ ุงู„ูˆุฒุงุฑุฉ ุฃุจุง ู…ุญู…ุฏ ุงู„ุชุงุฒูˆุฑูŠ ู…ู†\nู‚ุงุฆู…ุฉ ุงู„ู…ุฑุงุฌุน ูˆุงู„ู…ุตุงุฏุฑ ุงู„ุชูˆุซูŠู‚ูŠุฉ\nูˆุงู„ุจุตุฑ ูˆุงู„ูุคุงุฏุŒ ุชุณุฃู„ ุนู† ุงู„ุฅู†ุณุงู† ู„ุชูƒูˆู† ุดู‡ูˆุฏุงู‹ ุนู„ูŠู‡ ูˆู„ู‡ุŒ ุจู…ุง ูุนู„ ู…ู† ุทุงุนุฉ ูˆุงุฑุชูƒุจ ู…ู† ู…ุนุตูŠุฉ ยซ6ยป . ูˆู‚ูŠู„: ูŠุนูˆุฏ ุฅู„ู‰ ยซุงู„ุจุตุฑยป ยซ7ยป . ูˆู‚ูŠู„: ูŠุนูˆุฏ ุฅู„ู‰ ยซูƒู„ยป . ูˆู…ู† ุฐู„ูƒ ู‚ูˆู„ู‡ ุชุนุงู„ู‰: (ู„ูŽู†ู’ ุชูŽุฎู’ุฑูู‚ูŽ ุงู„ู’ุฃูŽุฑู’ุถูŽ) ยซ8ยป ุฃูŠ: ู„ู† ุชุฎุฑู‚ ุนู…ู‚ู‡ุงุŒ ุฃูŠ: ู„ู† ุชุจู„ุบ ุทูˆู„ ุฐุง ูˆู„ุง ุฎุฑู‚ ุฐุง ูˆุฃู†ุช ุถุนูŠู ุนุงุฌุฒ. ูˆู…ู† ุฐู„ูƒ ู‚ูˆู„ู‡ ุชุนุงู„ู‰: (ูˆูŽูŠูŽุฒููŠุฏูู‡ูู…ู’ ุฎูุดููˆุนุงู‹) ยซ9ยป ุฃูŠ: ุชุฒูŠุฏู‡ู… ุชู„ุงูˆุชู‡ ุฎุดูˆุนุงุŒ ุฃูˆ ุณู…ุงุนู‡ู… ู„ู‡.\nู…ู‚ุฏู…ุฉ ูˆุชู…ู‡ูŠุฏ ุนุงู…\nุนุฑุถ ุงู„ู†ุชุงุฆุฌ ูˆุงู„ุชุญู„ูŠู„ุงุช ุงู„ุฅุญุตุงุฆูŠุฉ\nุงู„ุฑุคูŠุฉ ุงู„ู…ุณุชู‚ุจู„ูŠุฉ ูˆุฎุงุฑุทุฉ ุงู„ุทุฑูŠู‚\n\\nabla_{j} J(j) = \\frac{1}{m} X^T ( \\sigma(X j) - Y )\n[ุงู„ุบุงุดูŠุฉ: 1] ุงู„ู’ุบูŽุงุดููŠูŽุฉูยป . ู‚ูŽุงู„ูŽ ูููŠ ุงู„ุฑู‘ูŽูˆู’ุถูŽุฉู: ูƒูŽุงู†ูŽ ูŠูŽู‚ู’ุฑูŽุฃู ู‡ูŽุงุชูŽูŠู’ู†ู ูููŠ ูˆูŽู‚ู’ุชู ูˆูŽู‡ูŽุงุชูŽูŠู’ู†ู ูููŠ ูˆูŽู‚ู’ุชู. ููŽู‡ูู…ูŽุง ุณูู†ู‘ูŽุชูŽุงู†ูุŒ ูˆูŽู‚ูุฑูŽุงุกูŽุฉู ุจูŽุนู’ุถู ู…ูู†ู’ ุฐูŽู„ููƒูŽ ุฃูŽูู’ุถูŽู„ู ู…ูู†ู’ ู‚ูุฑูŽุงุกูŽุฉู ู‚ูŽุฏู’ุฑูู‡ู ู…ูู†ู’ ุบูŽูŠู’ุฑูู‡ูู…ูŽุง ุฅู„ู‘ูŽุง ุฃูŽู†ู’ ูŠูŽูƒููˆู†ูŽ ุฐูŽู„ููƒูŽ ุงู„ู’ุบูŽูŠู’ุฑู ู…ูุดู’ุชูŽู…ูู„ู‹ุง ุนูŽู„ูŽู‰ ุซูŽู†ูŽุงุกู ูƒูŽุขูŠูŽุฉู ุงู„ู’ูƒูุฑู’ุณููŠู‘ู ู‚ูŽุงู„ูŽู‡ู ุงุจู’ู†ู ุนูŽุจู’ุฏู ุงู„ุณู‘ูŽู„ูŽุงู…ู. ูˆูŽูŠูุณูŽู†ู‘ู ุฃูŽู†ู’ ุชูŽูƒููˆู†ูŽ ุงู„ู’ู‚ูุฑูŽุงุกูŽุฉู ูููŠ ุงู„ู’ุฌูู…ูุนูŽุฉู (ุฌูŽู‡ู’ุฑู‹ุง) ุจูุงู„ู’ุฅูุฌู’ู…ูŽุงุนูุŒ ูˆูŽู‡ูŽุฐูŽุง ู…ูู†ู’ ุฒููŠูŽุงุฏูŽุฉู ุงู„ู’ูƒูุชูŽุงุจู ุจูู„ูŽุง\n\\mathbb{E}[x] = \\int x f_x(x) dx + \\frac{t}{\\theta^2}\nู…ุฑุงุฌุนุฉ ุงู„ุฃุฏุจูŠุงุช ูˆุงู„ุฏุฑุงุณุงุช ุงู„ุณุงุจู‚ุฉ\nุงู„ู„ู‡ ุตู„ู‰ ุงู„ู„ู‡ ุชุนุงู„ู‰ ุนู„ูŠู‡ ูˆุณู„ู…: ุซู„ุงุซุฉ ู„ุง ุชุฌุงูˆุฒ ุตู„ุงุชูู‡ู… ุขุฐุงู†ู‡ูŽู…\": ุฌู…ุน ุงู„ุฃุฐู†ุŒ ูˆู‡ูŠ: ุงู„ุฌุงุฑุญุฉุ› ุฃูŠ: ู„ุง ุชู‚ุจู„ ู‚ุจูˆู„ู‹ุง ูƒุงู…ู„ู‹ุงุŒ ุฃูˆ ู„ุง ุชุฑูุน ุนู† ุขุฐุงู†ู‡ู… ูุชุธู„ู‡ู…ุŒ ูƒู…ุง ูŠุธู„ ุงู„ุนู…ู„ ุงู„ุตุงู„ุญ ุตุงุญุจู‡ ูŠูˆู… ุงู„ู‚ูŠุงู…ุฉ. \"ุงู„ุนุจุฏ ุงู„ุขุจู‚ ุญุชู‰ ูŠุฑุฌุนุŒ ูˆุงู…ุฑุฃุฉ ุจุงุชุช ูˆุฒูˆุฌู‡ุง ุนู„ูŠู‡ุง ุณุงุฎุทูŒ\"ุ› ู„ุณูˆุก ุฎู„ู‚ู‡ุง ูˆุณูˆุก ุฃุฏุจู‡ุง ูˆู‚ู„ุฉ ุทุงุนุชู‡ุงุŒ ุฃู…ุง ู„ูˆ ูƒุงู† ุณุฎุท ุฒูˆุฌู‡ุง ู…ู† ุบูŠุฑ ุฌูุฑู…ูุŒ ูู„ุง ุฅุซู…ูŽ ุนู„ูŠู‡ุง. \"ูˆุฅู…ุงู… ู‚ูˆู… ูˆู‡ู… ู„ู‡ ูƒุงุฑู‡ูˆู†\"ุ› ู„ุจุฏุนุชู‡ุŒ ุฃูˆ ูุณู‚ู‡ุŒ ุฃูˆ ุฌู‡ู„ู‡ุŒ ุฃู…ุง ุฅุฐุง ูƒุงู† ุจูŠู†ู‡ ูˆุจูŠู†ู‡ู… ูƒุฑุงู‡ุฉ ุฃูˆ ุนุฏุงูˆุฉ ุจุณุจุจ ุดูŠุก ุฏู†ูŠูˆูŠ ู„ุง ูŠูƒูˆู† ู„ู‡ ู‡ุฐุง ุงู„ุญูƒู…ุŒ ูˆู‚ูŠู„: ุงู„ู…ุฑุงุฏ ุจู‡ ุฃุฆู…ุฉ ุงู„ุธู„ู…ุฉุŒ ุฃูˆ ู…ู† ู„ูŠุณ ู…ู† ุฃู‡ู„ ุงู„ุฅู…ุงู…ุฉุŒ ููŠุชุบู„ู‘ูŽุจ ุนู„ูŠู‡ุง. \"ุบุฑูŠุจ\". * * * 805 - ูˆู‚ุงู„: \"ุซู„ุงุซุฉูŒ ู„ุง ุชูู‚ู’ุจูŽู„ู\n\n![image](img-0)\n\nุงู„ุดูƒู„ (1): ุงู„ุชูˆุฒูŠุน ุงู„ุฌุบุฑุงููŠ ู„ู€ุงู„ุชุญู„ูŠู„ ุงู„ู†ูˆุนูŠ ู„ู„ุจูŠุงู†ุงุช",
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"text": "ู‡ุฐุง",
"confidence": 1.0,
"start_index": 2651
},
{
"text": "ุงู„ุญูƒู…ุŒ",
"confidence": 1.0,
"start_index": 2655
},
{
"text": "ูˆู‚ูŠู„:",
"confidence": 1.0,
"start_index": 2662
},
{
"text": "ุงู„ู…ุฑุงุฏ",
"confidence": 1.0,
"start_index": 2668
},
{
"text": "ุจู‡",
"confidence": 1.0,
"start_index": 2675
},
{
"text": "ุฃุฆู…ุฉ",
"confidence": 1.0,
"start_index": 2678
},
{
"text": "ุงู„ุธู„ู…ุฉุŒ",
"confidence": 1.0,
"start_index": 2683
},
{
"text": "ุฃูˆ",
"confidence": 1.0,
"start_index": 2691
},
{
"text": "ู…ู†",
"confidence": 1.0,
"start_index": 2694
},
{
"text": "ู„ูŠุณ",
"confidence": 1.0,
"start_index": 2697
},
{
"text": "ู…ู†",
"confidence": 1.0,
"start_index": 2701
},
{
"text": "ุฃู‡ู„",
"confidence": 1.0,
"start_index": 2704
},
{
"text": "ุงู„ุฅู…ุงู…ุฉุŒ",
"confidence": 1.0,
"start_index": 2708
},
{
"text": "ููŠุชุบู„ู‘ูŽุจ",
"confidence": 1.0,
"start_index": 2717
},
{
"text": "ุนู„ูŠู‡ุง.",
"confidence": 1.0,
"start_index": 2726
},
{
"text": "\"ุบุฑูŠุจ\".",
"confidence": 1.0,
"start_index": 2733
},
{
"text": "*",
"confidence": 1.0,
"start_index": 2741
},
{
"text": "*",
"confidence": 1.0,
"start_index": 2743
},
{
"text": "*",
"confidence": 1.0,
"start_index": 2745
},
{
"text": "805",
"confidence": 1.0,
"start_index": 2747
},
{
"text": "-",
"confidence": 1.0,
"start_index": 2751
},
{
"text": "ูˆู‚ุงู„:",
"confidence": 1.0,
"start_index": 2753
},
{
"text": "\"ุซู„ุงุซุฉูŒ",
"confidence": 1.0,
"start_index": 2759
},
{
"text": "ู„ุง",
"confidence": 1.0,
"start_index": 2767
},
{
"text": "ุชูู‚ู’ุจูŽู„ู",
"confidence": 1.0,
"start_index": 2770
},
{
"text": "![image](img-0)",
"confidence": 1.0,
"start_index": 2780
},
{
"text": "ุงู„ุดูƒู„",
"confidence": 1.0,
"start_index": 2797
},
{
"text": "(1):",
"confidence": 1.0,
"start_index": 2803
},
{
"text": "ุงู„ุชูˆุฒูŠุน",
"confidence": 1.0,
"start_index": 2808
},
{
"text": "ุงู„ุฌุบุฑุงููŠ",
"confidence": 1.0,
"start_index": 2816
},
{
"text": "ู„ู€ุงู„ุชุญู„ูŠู„",
"confidence": 1.0,
"start_index": 2825
},
{
"text": "ุงู„ู†ูˆุนูŠ",
"confidence": 1.0,
"start_index": 2835
},
{
"text": "ู„ู„ุจูŠุงู†ุงุช",
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"start_index": 2842
}
],
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"blocks": [
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"content": "ู…ู‚ุฏู…ุฉ ุดุงู…ู„ุฉ ููŠ ุนู„ู… ุงู„ุงุฌุชู…ุงุน",
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"content": "ุงู„ู…ุนุทูŠุงุช ูˆุงู„ุญู‚ุงุฆู‚ ุงู„ุฃุณุงุณูŠุฉ",
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"content": "ุจู†ูŠ ู…ุฑุฏุงุณ ู…ู† ุฒูŠุงุฏ ูุฃูƒุฑู…ู‡ู… ุงู„ู…ุนุฒู‘ ูˆุฃุฌุฒู„ ู„ู‡ู… ุนุทุงูŠุงู‡ ูู„ู… ูŠุบู† ุดูŠุฆุงุŒ ูˆุฎุฑุฌูˆุง ุฅู„ู‰ ู…ุง ูƒุงู†ูˆุง ุนู„ูŠู‡ ู…ู† ุงู„ูุณุงุฏุŒ ูˆู†ุฒู„ ุจุฅูุฑูŠู‚ูŠุฉ ุจู„ุงุก ู„ู… ูŠู†ุฒู„ ุจู‡ุง ู…ุซู„ู‡ุŒ ูุฎุฑุฌ ุฅู„ูŠู‡ู… ุงู„ู…ุนุฒู‘ ููŠ ุฌู…ูˆุนู‡ ู…ู† ุตู†ู‡ุงุฌุฉ ูˆุงู„ุณูˆุฏุงู† ู†ุญูˆุง ู…ู† ุซู„ุงุซูŠู† ุฃู„ูุงุŒ ูˆุงู„ุนุฑุจ ููŠ ุซู„ุงุซุฉ ุขู„ุงู ูู‡ุฒู…ูˆู‡ ูˆุฃุซุฎู†ูˆุง ููŠ ุตู†ู‡ุงุฌุฉ ุจุงู„ู‚ุชู„ ูˆุงุณุชุจุงุญูˆู‡ู…ุŒ ูˆุฏุฎู„ ุงู„ู…ุนุฒู‘ ุงู„ู‚ูŠุฑูˆุงู† ู…ู‡ุฒูˆู…ุง. ุซู… ุจูŠุชู‡ู… ูŠูˆู… ุงู„ู†ุญุฑ ูˆู‡ู… ููŠ ุงู„ุตู„ุงุฉ ูู‡ุฒู…ูˆู‡ ุฃุนุธู… ู…ู† ุงู„ุฃูˆู„ู‰. ุซู… ุณุงุฑ ุฅู„ูŠู‡ู… ุจุนุฏ ุฃู† ุงุญุชุดุฏ ุฒู†ุงุชุฉ ู…ุนู‡ ูุงู†ู‡ุฒู… ุซุงู„ุซุฉ ูˆู‚ุชู„ ู…ู† ุนุณูƒุฑู‡ ู†ุญูˆ ู…ู† ุซู„ุงุซุฉ ุขู„ุงูุŒ ูˆู†ุฒู„ ุงู„ุนุฑุจ ุจู…ุตู„ู‘ู‰ ุงู„ู‚ูŠุฑูˆุงู† ูˆูˆุงู„ูˆุง ุนู„ูŠู‡ู… ุงู„ู‡ุฒุงุฆู…ุŒ ูˆู‚ุชู„ุช ู…ู†ู‡ู… ุฃู…ู…. ุซู… ุฃุจุงุญ ู„ู‡ู… ุงู„ู…ุนุฒู‘ ุฏุฎูˆู„ ุงู„ู‚ูŠุฑูˆุงู† ู„ู„ู…ูŠุฑุฉ ูุงุณุชุทุงู„ุช ุนู„ูŠู‡ู… ุงู„ุนุงู…ู‘ุฉ ูู‚ุชู„ูˆุง ู…ู†ู‡ู… ุฎู„ู‚ุง ูˆุฃุฏุงุฑ ุงู„ู…ุนุฒู‘ ุงู„ุณูˆุฑ ุนู„ู‰ ุงู„ู‚ูŠุฑูˆุงู† ุณู†ุฉ ุณุช ูˆุฃุฑุจุนูŠู†. ุซู… ู…ู„ูƒ ู…ุคู†ุณ ุจู† ูŠุญูŠู‰ ู…ุฏูŠู†ุฉ ุจุงุฌุฉ ุณู†ุฉ ุณุช ูˆุฃุฑุจุนูŠู† ูˆุฃู…ุฑ ุงู„ู…ุนุฒ ุฃู‡ู„ ุงู„ู‚ูŠุฑูˆุงู† ุจุงู„ุงู†ุชู‚ุงู„ ุฅู„ู‰ ุงู„ู…ู‡ุฏูŠู‘ุฉ ู„ู„ุชุญุตู‘ู† ุจู‡ุงุŒ ูˆูˆู„ู‘ู‰ ุนู„ูŠู‡ุง ุงุจู†ู‡ ุชูŠู…ุง [1] ุณู†ุฉ ุฎู…ุณ ูˆุฃุฑุจุนูŠู†. ุซู… ุงู†ุชู‚ู„ ุฅู„ูŠู‡ุง ุณู†ุฉ ุชุณุน ูˆุฃุฑุจุนูŠู†ุŒ ูˆุงู†ุทู„ู‚ุช ุฃูŠุฏูŠ ุงู„ุนุฑุจ ุนู„ู‰ ุงู„ู‚ูŠุฑูˆุงู† ุจุงู„ู†ู‡ุจ",
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{
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"bottom_right_x": 807,
"bottom_right_y": 486,
"content": "ุงู„ู…ุณุชุฌุฏุงุช ูˆุงู„ุชุทูˆุฑุงุช ุงู„ุฑุงู‡ู†ุฉ",
"type": "text",
"confidence_scores": null,
"reading_index": 4
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{
"top_left_x": 432,
"top_left_y": 494,
"bottom_right_x": 807,
"bottom_right_y": 570,
"content": "ู…ู† ุงู„ุฃุชุฑุงูƒ ู„ู„ุชุบู„ู‘ุจ ุนู„ู‰ ุงู„ุฏูˆู„ุฉ. ูู…ู† ุงุณุชูˆุญุดุช ู…ู†ู‡ ุฃุบุฑุช ุจู‡ ุงู„ู…ุณุชู†ุตุฑ ูู‚ุชู„ู‡. ูุงุณุชูˆุฒุฑุช ุฃูˆู„ุง ุฃุจุง ุงู„ูุชุญ ุงู„ูู„ุงุญูŠุŒ ุซู… ุงุณุชูˆุญุดุช ู…ู†ู‡ ูู‚ุจุถ ุนู„ูŠู‡ ุงู„ู…ุณุชู†ุตุฑ ูˆู‚ุชู„ู‡ุŒ ูˆูˆุฒุฑ ุจุนุฏู‡ ุฃุจุง ุงู„ุจุฑูƒุงุช ุญุณู† ุจู† ู…ุญู…ุฏ ูˆุนุฒู„ู‡. ุซู… ูˆู„ู‘ู‰ ุงู„ูˆุฒุงุฑุฉ ุฃุจุง ู…ุญู…ุฏ ุงู„ุชุงุฒูˆุฑูŠ ู…ู†",
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"content": "ู‚ุงุฆู…ุฉ ุงู„ู…ุฑุงุฌุน ูˆุงู„ู…ุตุงุฏุฑ ุงู„ุชูˆุซูŠู‚ูŠุฉ",
"type": "text",
"confidence_scores": null,
"reading_index": 6
},
{
"top_left_x": 432,
"top_left_y": 629,
"bottom_right_x": 807,
"bottom_right_y": 755,
"content": "ูˆุงู„ุจุตุฑ ูˆุงู„ูุคุงุฏุŒ ุชุณุฃู„ ุนู† ุงู„ุฅู†ุณุงู† ู„ุชูƒูˆู† ุดู‡ูˆุฏุงู‹ ุนู„ูŠู‡ ูˆู„ู‡ุŒ ุจู…ุง ูุนู„ ู…ู† ุทุงุนุฉ ูˆุงุฑุชูƒุจ ู…ู† ู…ุนุตูŠุฉ ยซ6ยป . ูˆู‚ูŠู„: ูŠุนูˆุฏ ุฅู„ู‰ ยซุงู„ุจุตุฑยป ยซ7ยป . ูˆู‚ูŠู„: ูŠุนูˆุฏ ุฅู„ู‰ ยซูƒู„ยป . ูˆู…ู† ุฐู„ูƒ ู‚ูˆู„ู‡ ุชุนุงู„ู‰: (ู„ูŽู†ู’ ุชูŽุฎู’ุฑูู‚ูŽ ุงู„ู’ุฃูŽุฑู’ุถูŽ) ยซ8ยป ุฃูŠ: ู„ู† ุชุฎุฑู‚ ุนู…ู‚ู‡ุงุŒ ุฃูŠ: ู„ู† ุชุจู„ุบ ุทูˆู„ ุฐุง ูˆู„ุง ุฎุฑู‚ ุฐุง ูˆุฃู†ุช ุถุนูŠู ุนุงุฌุฒ. ูˆู…ู† ุฐู„ูƒ ู‚ูˆู„ู‡ ุชุนุงู„ู‰: (ูˆูŽูŠูŽุฒููŠุฏูู‡ูู…ู’ ุฎูุดููˆุนุงู‹) ยซ9ยป ุฃูŠ: ุชุฒูŠุฏู‡ู… ุชู„ุงูˆุชู‡ ุฎุดูˆุนุงุŒ ุฃูˆ ุณู…ุงุนู‡ู… ู„ู‡.",
"type": "text",
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},
{
"top_left_x": 432,
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"bottom_right_x": 807,
"bottom_right_y": 801,
"content": "ู…ู‚ุฏู…ุฉ ูˆุชู…ู‡ูŠุฏ ุนุงู…",
"type": "text",
"confidence_scores": null,
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},
{
"top_left_x": 432,
"top_left_y": 825,
"bottom_right_x": 807,
"bottom_right_y": 860,
"content": "ุนุฑุถ ุงู„ู†ุชุงุฆุฌ ูˆุงู„ุชุญู„ูŠู„ุงุช ุงู„ุฅุญุตุงุฆูŠุฉ",
"type": "text",
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"reading_index": 9
},
{
"top_left_x": 432,
"top_left_y": 900,
"bottom_right_x": 807,
"bottom_right_y": 930,
"content": "ุงู„ุฑุคูŠุฉ ุงู„ู…ุณุชู‚ุจู„ูŠุฉ ูˆุฎุงุฑุทุฉ ุงู„ุทุฑูŠู‚",
"type": "text",
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"reading_index": 10
},
{
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"bottom_right_x": 390,
"bottom_right_y": 184,
"content": "\\nabla_{j} J(j) = \\frac{1}{m} X^T ( \\sigma(X j) - Y )",
"type": "text",
"confidence_scores": null,
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"content": "[ุงู„ุบุงุดูŠุฉ: 1] ุงู„ู’ุบูŽุงุดููŠูŽุฉูยป . ู‚ูŽุงู„ูŽ ูููŠ ุงู„ุฑู‘ูŽูˆู’ุถูŽุฉู: ูƒูŽุงู†ูŽ ูŠูŽู‚ู’ุฑูŽุฃู ู‡ูŽุงุชูŽูŠู’ู†ู ูููŠ ูˆูŽู‚ู’ุชู ูˆูŽู‡ูŽุงุชูŽูŠู’ู†ู ูููŠ ูˆูŽู‚ู’ุชู. ููŽู‡ูู…ูŽุง ุณูู†ู‘ูŽุชูŽุงู†ูุŒ ูˆูŽู‚ูุฑูŽุงุกูŽุฉู ุจูŽุนู’ุถู ู…ูู†ู’ ุฐูŽู„ููƒูŽ ุฃูŽูู’ุถูŽู„ู ู…ูู†ู’ ู‚ูุฑูŽุงุกูŽุฉู ู‚ูŽุฏู’ุฑูู‡ู ู…ูู†ู’ ุบูŽูŠู’ุฑูู‡ูู…ูŽุง ุฅู„ู‘ูŽุง ุฃูŽู†ู’ ูŠูŽูƒููˆู†ูŽ ุฐูŽู„ููƒูŽ ุงู„ู’ุบูŽูŠู’ุฑู ู…ูุดู’ุชูŽู…ูู„ู‹ุง ุนูŽู„ูŽู‰ ุซูŽู†ูŽุงุกู ูƒูŽุขูŠูŽุฉู ุงู„ู’ูƒูุฑู’ุณููŠู‘ู ู‚ูŽุงู„ูŽู‡ู ุงุจู’ู†ู ุนูŽุจู’ุฏู ุงู„ุณู‘ูŽู„ูŽุงู…ู. ูˆูŽูŠูุณูŽู†ู‘ู ุฃูŽู†ู’ ุชูŽูƒููˆู†ูŽ ุงู„ู’ู‚ูุฑูŽุงุกูŽุฉู ูููŠ ุงู„ู’ุฌูู…ูุนูŽุฉู (ุฌูŽู‡ู’ุฑู‹ุง) ุจูุงู„ู’ุฅูุฌู’ู…ูŽุงุนูุŒ ูˆูŽู‡ูŽุฐูŽุง ู…ูู†ู’ ุฒููŠูŽุงุฏูŽุฉู ุงู„ู’ูƒูุชูŽุงุจู ุจูู„ูŽุง",
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"content": "\\mathbb{E}[x] = \\int x f_x(x) dx + \\frac{t}{\\theta^2}",
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"content": "ู…ุฑุงุฌุนุฉ ุงู„ุฃุฏุจูŠุงุช ูˆุงู„ุฏุฑุงุณุงุช ุงู„ุณุงุจู‚ุฉ",
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"content": "ุงู„ู„ู‡ ุตู„ู‰ ุงู„ู„ู‡ ุชุนุงู„ู‰ ุนู„ูŠู‡ ูˆุณู„ู…: ุซู„ุงุซุฉ ู„ุง ุชุฌุงูˆุฒ ุตู„ุงุชูู‡ู… ุขุฐุงู†ู‡ูŽู…\": ุฌู…ุน ุงู„ุฃุฐู†ุŒ ูˆู‡ูŠ: ุงู„ุฌุงุฑุญุฉุ› ุฃูŠ: ู„ุง ุชู‚ุจู„ ู‚ุจูˆู„ู‹ุง ูƒุงู…ู„ู‹ุงุŒ ุฃูˆ ู„ุง ุชุฑูุน ุนู† ุขุฐุงู†ู‡ู… ูุชุธู„ู‡ู…ุŒ ูƒู…ุง ูŠุธู„ ุงู„ุนู…ู„ ุงู„ุตุงู„ุญ ุตุงุญุจู‡ ูŠูˆู… ุงู„ู‚ูŠุงู…ุฉ. \"ุงู„ุนุจุฏ ุงู„ุขุจู‚ ุญุชู‰ ูŠุฑุฌุนุŒ ูˆุงู…ุฑุฃุฉ ุจุงุชุช ูˆุฒูˆุฌู‡ุง ุนู„ูŠู‡ุง ุณุงุฎุทูŒ\"ุ› ู„ุณูˆุก ุฎู„ู‚ู‡ุง ูˆุณูˆุก ุฃุฏุจู‡ุง ูˆู‚ู„ุฉ ุทุงุนุชู‡ุงุŒ ุฃู…ุง ู„ูˆ ูƒุงู† ุณุฎุท ุฒูˆุฌู‡ุง ู…ู† ุบูŠุฑ ุฌูุฑู…ูุŒ ูู„ุง ุฅุซู…ูŽ ุนู„ูŠู‡ุง. \"ูˆุฅู…ุงู… ู‚ูˆู… ูˆู‡ู… ู„ู‡ ูƒุงุฑู‡ูˆู†\"ุ› ู„ุจุฏุนุชู‡ุŒ ุฃูˆ ูุณู‚ู‡ุŒ ุฃูˆ ุฌู‡ู„ู‡ุŒ ุฃู…ุง ุฅุฐุง ูƒุงู† ุจูŠู†ู‡ ูˆุจูŠู†ู‡ู… ูƒุฑุงู‡ุฉ ุฃูˆ ุนุฏุงูˆุฉ ุจุณุจุจ ุดูŠุก ุฏู†ูŠูˆูŠ ู„ุง ูŠูƒูˆู† ู„ู‡ ู‡ุฐุง ุงู„ุญูƒู…ุŒ ูˆู‚ูŠู„: ุงู„ู…ุฑุงุฏ ุจู‡ ุฃุฆู…ุฉ ุงู„ุธู„ู…ุฉุŒ ุฃูˆ ู…ู† ู„ูŠุณ ู…ู† ุฃู‡ู„ ุงู„ุฅู…ุงู…ุฉุŒ ููŠุชุบู„ู‘ูŽุจ ุนู„ูŠู‡ุง. \"ุบุฑูŠุจ\". * * * 805 - ูˆู‚ุงู„: \"ุซู„ุงุซุฉูŒ ู„ุง ุชูู‚ู’ุจูŽู„ู",
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"content": "ุงู„ุดูƒู„ (1): ุงู„ุชูˆุฒูŠุน ุงู„ุฌุบุฑุงููŠ ู„ู€ุงู„ุชุญู„ูŠู„ ุงู„ู†ูˆุนูŠ ู„ู„ุจูŠุงู†ุงุช",
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