์ˆ˜์‹๊ณ„์‚ฐ๊ธฐ - ์ „๊ณต์ˆ˜ํ•™ยท๊ณตํ•™์ˆ˜ํ•™ยท๋ฏธ์ ๋ถ„ยท์„ ํ˜•๋Œ€์ˆ˜

ืžื›ื™ืœ ืžื•ื“ืขื•ืชืจื›ื™ืฉื•ืช ืžืชื•ืš ื”ืืคืœื™ืงืฆื™ื”
ืกื™ื•ื•ื’ ืชื•ื›ืŸ
ื›ื•ืœื
+10
ื”ื•ืจื“ื•ืช
ืกื™ื•ื•ื’ ืชื•ื›ืŸ
ื›ื•ืœื
ืจื›ื™ืฉื•ืช ื‘ืชื•ืš ื”ืืคืœื™ืงืฆื™ื”
ืœืžื™ื“ืข ื ื•ืกืฃ
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš

ืžื™ื“ืข ืขืœ ื”ืืคืœื™ืงืฆื™ื” ื”ื–ื•

[ืžื—ืฉื‘ื•ืŸ ื ื•ืกื—ืื•ืช] ืื™ื ื• ืจืง ืžื—ืฉื‘ื•ืŸ ืœื”ื–ื ืช ืžืกืคืจื™ื; ื–ื•ื”ื™ ืืคืœื™ืงืฆื™ื™ืช ื—ื™ืฉื•ื‘ ืžืชืžื˜ื™ ื”ืžืืคืฉืจืช ืœืš ืœื”ื–ื™ืŸ ืืช ื”ื ื•ืกื—ื” ืขืฆืžื” ื›ื“ื™ ืœื‘ื“ื•ืง ืืช ื”ืชืฉื•ื‘ื” ื•ืืช ืชื”ืœื™ืš ื”ืคืชืจื•ืŸ ื‘ื‘ืช ืื—ืช.

ื”ื•ื ืœื ืจืง ืžืกืคืง ืชืฉื•ื‘ื” ืื—ืช ื•ืขื•ืฆืจ ืฉื. ื”ื•ื ืžืคืจื˜ ื•ืžืจืื” ืœืš, ืฉืœื‘ ืื—ืจ ืฉืœื‘, ื›ื™ืฆื“ ื ื’ื–ืจื” ื”ืชืฉื•ื‘ื” ื•ืื™ืœื• ืฉืœื‘ื™ื ื ื ืงื˜ื•.

ืžืฉื™ืขื•ืจื™ ื‘ื™ืช ื‘ืžืชืžื˜ื™ืงื” ื‘ื—ื˜ื™ื‘ืช ื”ื‘ื™ื ื™ื™ื ื•ื”ืชื™ื›ื•ืŸ ื•ืขื“ ืžื˜ืœื•ืช ื—ืฉื‘ื•ืŸ ื•ืืœื’ื‘ืจื” ืœื™ื ืืจื™ืช ื‘ืžื›ืœืœื”, ื•ืืคื™ืœื• ื—ื™ืฉื•ื‘ื™ ื”ื ื“ืกื” ื•ืกื˜ื˜ื™ืกื˜ื™ืงื” - ืืชื” ื™ื›ื•ืœ ืœื‘ื“ื•ืง ืžื™ื“ ื‘ื›ืœ ืคืขื ืฉืืชื” ืกืงืจืŸ ืœื“ืขืช ื›ื™ืฆื“ ื”ื’ื™ืขื” ืœืชืฉื•ื‘ื”.

โ–  ืกื™ืžื•ืŸ ื‘ืกื™ืกื™

- ื—ื–ืงื•ืช, ืฉื•ืจืฉ (ืฉื•ืจืฉ n), ืฉื‘ืจื™ื, ืขืจื›ื™ื ืžื•ื—ืœื˜ื™ื

- ื—ื–ืงื•ืช ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™ื•ืช (sinโฟ ื•ื›ื•'), ืกื™ืžื ื™ ื—ืชืš, ื–ื•ื•ื™ื•ืช (ยฐ), ืื—ื•ื–ื™ื (%)

- ืžืกืคืจื™ื ืžืจื•ื›ื‘ื™ื (i), ืงื™ืจื•ื‘ื™ื (โ‰ˆ)

โ–  ืคื•ื ืงืฆื™ื•ืช ืžื™ื•ื—ื“ื•ืช

- ืœื•ื’ืจื™ืชืžื™ื (ื‘ืกื™ืกื™ื 2, 10, n), ืืงืกืคื•ื ื ื˜ื™ื ื˜ื‘ืขื™ื™ื (eหฃ), ื—ื–ืงื•ืช (aหฃ, xสธ)

- ื’ื•ืจืžื™ื (n!), ืชืžื•ืจื” (nPr) ยท ืฆื™ืจื•ืคื™ื (nCr)

- ืคื•ื ืงืฆื™ื•ืช ืงื•ืžื” ยท ืคื•ื ืงืฆื™ื•ืช ืชืงืจื”

โ–  ื—ืฉื‘ื•ืŸ ื“ื™ืคืจื ืฆื™ืืœื™

- ื“ื™ืคืจื ืฆื™ืืฆื™ื”, ื“ื™ืคืจื ืฆื™ืืฆื™ื” ื—ืœืงื™ืช, ื ื’ื–ืจื•ืช ืžืกื“ืจ ื’ื‘ื•ื” ยท ื“ื™ืคืจื ืฆื™ืืฆื™ื” ื—ืœืงื™ืช ืžืขื•ืจื‘ืช, ื›ืœืœ ืฉืจืฉืจืช

- ื’ืจื“ื™ืื ื˜, ื ื’ื–ืจืช ื›ื™ื•ื•ื ื™ืช, ืžื™ืฉื•ืจ ืžืฉื™ืง

- ืื™ื ื˜ื’ืจืœื™ื ืœื ืžื•ื’ื“ืจื™ื, ืื™ื ื˜ื’ืจืœื™ื ืžื•ื’ื“ืจื™ื, ืื™ื ื˜ื’ืจืœื™ื ืœื ืžืชืื™ืžื™ื, ืื•ืจื›ื™ ืขืงื•ืžื”, ืื™ื ื˜ื’ืจืœื™ื ื›ืคื•ืœื™ื, ืื™ื ื˜ื’ืจืœื™ื ื™ืฉืจื™ื

- ื’ื‘ื•ืœื•ืช, ืจื‘ ืžืฉืชื ื™ื ื’ื‘ื•ืœื•ืช

- ืกื›ื•ื ืกื™ื’ืžื (ฮฃ), ืžื›ืคืœื” ืฉืœ ืคืื™ (ฮ )

- ื”ืจื—ื‘ืช ื˜ื™ื™ืœื•ืจ, ื“ื™ืคืจื ืฆื™ืืฆื™ื” ืžืจื•ืžื–ืช, ืงื™ืฆื•ืŸ, ืงื™ืจื•ื‘ื™ื ืœื™ื ืืจื™ื™ื ืฉื™ื˜ืช ืžื›ืคื™ืœ ืœื’ืจืื ื–'

โ–  ืžืฉื•ื•ืื•ืช / ืื™-ืฉื•ื•ื™ื•ื ื™ื

- ืคืชืจื•ืŸ ืžืฉื•ื•ืื•ืช, ืื™-ืฉื•ื•ื™ื•ื ื™ื, ืžืขืจื›ื•ืช ืžืฉื•ื•ืื•ืช
- ื”ื‘ื—ื ื” ืื•ื˜ื•ืžื˜ื™ืช ื‘ื™ืŸ ื”ืฆื‘ืช ืขืจื›ื™ื ืœืื—ืจ ื”ื’ื“ืจืช ืคื•ื ืงืฆื™ื” (ืœืžืฉืœ, f(3)) ืœื‘ื™ืŸ ืคืชืจื•ืŸ ืžืฉื•ื•ืื•ืช (ืœืžืฉืœ, f(x)=4)

- ืงืจื™ืื” ืœืคื•ื ืงืฆื™ื” ื”ืคื•ื›ื” (fโปยน)

โ–  ืงื‘ื•ืฆื•ืช

- ืื™ื—ื•ื“ (โˆช), ื—ื™ืชื•ืš (โˆฉ), ื”ืคืจืฉ (โˆ’), ืžืฉืœื™ื, ืชืช-ืงื‘ื•ืฆื” (โІ), ืงื‘ื•ืฆื” ืจื™ืงื” (โˆ…)

- ื”ืคืจืฉ ืกื™ืžื˜ืจื™ (โ–ณ), ืžื›ืคืœื” ืงืจื˜ื–ื™ืช (ร—), ืงื‘ื•ืฆืช ื—ื–ืงื•ืช (๐’ซ), ื‘ื“ื™ืงืช ืื™ื‘ืจื™ื (โˆˆ)

โ–  ืชื•ืจืช ื”ืžืกืคืจื™ื ื•ืืœื’ื‘ืจื”

- ืขื™ื’ื•ืœ, ืžื—ืœืง ืžืฉื•ืชืฃ ื’ื“ื•ืœ ื‘ื™ื•ืชืจ (GCD), ื›ืคื•ืœื” ืžืฉื•ืชืคืช ืงื˜ื ื” (LCM)

- ืคื™ืจื•ืง ืœื’ื•ืจืžื™ื, ื”ืจื—ื‘ื”, ืงื‘ื™ืขืช ืžืกืคืจ ืจืืฉื•ื ื™, ืžืกืคืจ ืจืืฉื•ื ื™ ืคื™ืจื•ืง ืœื’ื•ืจืžื™ื, ืฉืืจื™ืช (mod)

โ–  ื•ืงื˜ื•ืจื™ื ื•ืžื˜ืจื™ืฆื•ืช

- ืคืขื•ืœื•ืช ื—ืฉื‘ื•ืŸ ืžื˜ืจื™ืฆื•ืช, ืฉื™ืžื•ืฉ ื—ื•ื–ืจ ื‘ื”ื’ื“ืจื•ืช ื‘ืขืœื•ืช ืฉื (ืœืžืฉืœ, A, B), ื—ื–ืงื•ืช, ืžื˜ืจื™ืฆื•ืช ื”ืคื•ื›ื•ืช, ื“ื˜ืจืžื™ื ื ื˜, ื˜ืจื ืกืคื•ื–ื™ืฆื™ื”, ืกื›ื•ื ืืœื›ืกื•ื ื™, ื“ืจื’ื”

- ืขืจื›ื™ื ืขืฆืžื™ื™ื, ื•ืงื˜ื•ืจื™ื ืขืฆืžื™ื™ื

- ื•ืงื˜ื•ืจื™ื, ืžื›ืคืœื” ืคื ื™ืžื™ืช, ืžื›ืคืœื” ืฆื•ืœื‘ืช, ื—ื™ื‘ื•ืจ ืžื˜ืจื™ืฆื•ืช, ื›ืคืœ ืžื˜ืจื™ืฆื•ืช

- ืžืฉื™ืง ืœื—ื™ืชื•ืš ืฉืœ ืฉื ื™ ืžืฉื˜ื—ื™ื

โ–  ืกื˜ื˜ื™ืกื˜ื™ืงื”

- ืžืžื•ืฆืข, ืกื˜ื™ื™ืช ืชืงืŸ, ืฉื•ื ื•ืช, ื—ืฆื™ื•ืŸ, ืื•ืคืŸ

โ–  ืื—ืจื™ื

- ื‘ื™ื˜ื•ื™ื™ื ืžื•ืชื ื™ื (ืคื•ื ืงืฆื™ื•ืช ืžืจื•ื•ื—), atan2

โ–  ื‘ื ื•ืกืฃ

- ืขื™ื‘ื•ื“ ื‘ื–ืžืŸ ืืžืช ืฉืœ ื ื•ืกื—ืื•ืช ืฉื”ื•ื–ื ื• ื‘-KaTeX, ื”ืžืืคืฉืจ ืœืš ืœืืžืช ื—ื™ืฉื•ื‘ื™ื ื‘ืื•ืคืŸ ื•ื™ื–ื•ืืœื™
- ืฉืžื™ืจื” ืื•ื˜ื•ืžื˜ื™ืช ืฉืœ ื”ื™ืกื˜ื•ืจื™ื™ืช ื—ื™ืฉื•ื‘ื™ื - ืกืงื™ืจืช ื‘ืขื™ื•ืช ื•ืชื”ืœื™ื›ื™ ืคืชืจื•ืŸ ืงื•ื“ืžื™ื ื‘ื›ืœ ืขืช
- ืชืžื™ื›ื” ื‘ืงื•ืจื™ืื ื™ืช ื•ื‘ืื ื’ืœื™ืช ื‘ื”ืชืื ืœืฉืคืช ื”ืžืขืจื›ืช

ืžื•ืžืœืฅ ืขื‘ื•ืจ:

- ืชืœืžื™ื“ื™ื ืžืชื•ืกื›ืœื™ื ืžืืคืœื™ืงืฆื™ื•ืช ืžื—ืฉื‘ื•ืŸ ืฉืœื ื™ื›ื•ืœื•ืช ืœืืžืช "ืžื“ื•ืข ื”ืชืงื‘ืœื” ืชืฉื•ื‘ื” ืžืกื•ื™ืžืช"
- ืืœื• ืฉืจื•ืฆื™ื ืœืืžืช ืืช ื—ื™ืฉื•ื‘ื™ื”ื ืœืื—ืจ ื”ืฉืœืžืช ืฉื™ืขื•ืจื™ ื‘ื™ืช ืื• ืžื˜ืœื•ืช
- ืืœื• ืฉืฆืจื™ื›ื™ื ืœื”ืชื›ื•ื ืŸ ืขื‘ื•ืจ ืื• ืกืงื™ืจืช ืงื•ืจืกื™ื ืขื™ืงืจื™ื™ื ื›ื’ื•ืŸ ื—ืฉื‘ื•ืŸ ื“ื™ืคืจื ืฆื™ืืœื™, ืืœื’ื‘ืจื” ืœื™ื ืืจื™ืช ื•ืกื˜ื˜ื™ืกื˜ื™ืงื”
ืžื—ืฉื‘ื•ืŸ ืžืชืžื˜ื™ ื”ืžืฆื™ื’ ืืช ื”ืชืฉื•ื‘ื” ื•ืืช ืชื”ืœื™ืš ื”ืคืชืจื•ืŸ ืฉืœื‘ ืื—ืจ ืฉืœื‘, ืคืฉื•ื˜ ืขืœ ื™ื“ื™ ื”ื–ื ืช ื”ื ื•ืกื—ื”, ืžื—ืฉื‘ื•ืŸ ื“ื™ืคืจื ืฆื™ืืœื™ ื•ืืœื’ื‘ืจื” ืœื™ื ืืจื™ืช ื•ืขื“ ืžืฉื•ื•ืื•ืช ื“ื™ืคืจื ืฆื™ืืœื™ื•ืช ื•ื˜ืจื ืกืคื•ืจืžืฆื™ื•ืช ืœืคืœืก.
ืขื“ื›ื•ืŸ ืื—ืจื•ืŸ ื‘ืชืืจื™ืš
5 ื‘ืกืคื˜ืณ 2026
ืกื™ืคื•ืจื™ื ืžื•ืžืœืฆื™ื

ืื‘ื˜ื—ืช ื ืชื•ื ื™ื

ื›ื“ื™ ืœืฉืžื•ืจ ืขืœ ื”ื‘ื˜ื™ื—ื•ืช ืฆืจื™ืš ืงื•ื“ื ื›ืœ ืœื”ื‘ื™ืŸ ืื™ืš ื”ืžืคืชื—ื™ื ืื•ืกืคื™ื ื•ืžืฉืชืคื™ื ืืช ื”ื ืชื•ื ื™ื ืฉืœืš. ื ื•ื”ืœื™ ืคืจื˜ื™ื•ืช ื”ื ืชื•ื ื™ื ื•ืื‘ื˜ื—ืช ื”ื ืชื•ื ื™ื ืขืฉื•ื™ื™ื ืœื”ืฉืชื ื•ืช ื‘ื”ืชืื ืœืฉื™ืžื•ืฉ, ืœืื–ื•ืจ ื•ืœื’ื™ืœ ื”ืžืฉืชืžืฉ. ื”ืžืคืชื— ืกื™ืคืง ืืช ื”ืžื™ื“ืข ื”ื–ื” ื•ื”ื•ื ืขืฉื•ื™ ืœืขื“ื›ืŸ ืื•ืชื• ืžื“ื™ ืคืขื.

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