AID Numerical Methods

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ื”ื•ืจื“ื•ืช
ืกื™ื•ื•ื’ ืชื•ื›ืŸ
ื›ื•ืœื
ื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™ื” ื”ื–ื•

โš™๏ธ ืฉื™ื˜ื•ืช ื ื•ืžืจื™ื•ืช: ืžื—ืฉื‘ื•ืŸ ื•ื›ืœื™ ืœืžื™ื“ื”

ืฉื—ืจืจื• ืืช ื›ื•ื—ื” ืฉืœ ื”ืžืชืžื˜ื™ืงื” ืขื "ืฉื™ื˜ื•ืช ื ื•ืžืจื™ื•ืช", ื”ืžื—ืฉื‘ื•ืŸ ื”ืžืชืงื“ื ืฉืœื›ื ืœืคืชืจื•ืŸ ื‘ืขื™ื•ืช ืžื•ืจื›ื‘ื•ืช ื‘ืžื”ื™ืจื•ืช, ื“ื™ื•ืง ื•ื‘ื”ื™ืจื•ืช.

ื‘ื™ืŸ ืื ืืชื ืกื˜ื•ื“ื ื˜ื™ื ืœื”ื ื“ืกื”, ืื ืœื™ืกื˜ื™ื ืฉืœ ื ืชื•ื ื™ื ืื• ื—ื•ืงืจื™ื, ื”ืืคืœื™ืงืฆื™ื” ื”ื–ื• ืžืกืคืงืช ืœื›ื ืืช ื”ื›ืœื™ื ื”ื ื•ืžืจื™ื™ื ื”ื—ื™ื•ื ื™ื™ื ืœื”ืชืžื•ื“ื“ื•ืช ืขื ืืชื’ืจื™ื ืžื”ืขื•ืœื ื”ืืžื™ืชื™ โ€“ ื”ื—ืœ ืžืžืฉื•ื•ืื•ืช ื•ืขื“ ื”ืชืืžืช ื ืชื•ื ื™ื โ€“ ื•ื”ื›ืœ ื‘ืžืžืฉืง ืื™ื ื˜ื•ืื™ื˜ื™ื‘ื™ ืื—ื“.

๐Ÿ”ข ื›ืœื™ื ื•ืชื›ื•ื ื•ืช ืขื•ืฆืžืชื™ื™ื

๐Ÿ“ ืฉื™ื˜ื•ืช ืœืžืฆื™ืืช ืฉื•ืจืฉื™ื
ืคืชืจื• ืžืฉื•ื•ืื•ืช ืœื ืœื™ื ื™ืืจื™ื•ืช ื‘ืงืœื•ืช ื‘ืืžืฆืขื•ืช ื˜ื›ื ื™ืงื•ืช ืื™ื˜ืจื˜ื™ื‘ื™ื•ืช ืžืชืงื“ืžื•ืช ื›ื’ื•ืŸ:
โ€ข ืฉื™ื˜ืช ื”ื—ืฆื™ื™ื”
โ€ข ืฉื™ื˜ืช ื ื™ื•ื˜ื•ืŸ-ืจืคืกื•ืŸ
โ€ข ืฉื™ื˜ืช ื”ืžื™ืชืจ
ืžืฆืื• ื‘ืžื”ื™ืจื•ืช ืฉื•ืจืฉื™ื ืžื“ื•ื™ืงื™ื ืœืœื ื—ื™ืฉื•ื‘ื™ื ื™ื“ื ื™ื™ื ืื• ื ื™ื—ื•ืฉื™ื.

๐Ÿ“ˆ ืฉื™ื˜ื•ืช ืื™ื ื˜ืจืคื•ืœืฆื™ื”
ื”ืขืจื™ื›ื• ืขืจื›ื™ื ืœื ื™ื“ื•ืขื™ื ื•ื ืชื—ื• ืžืขืจื›ื™ ื ืชื•ื ื™ื ื‘ื“ื™ื•ืง ื‘ืืžืฆืขื•ืช:
โ€ข ืื™ื ื˜ืจืคื•ืœืฆื™ื” ืœื™ื ื™ืืจื™ืช ื•ืจื™ื‘ื•ืขื™ืช
โ€ข ื”ืคืจืฉื™ื ืžื—ื•ืœืงื™ื ืฉืœ ื ื™ื•ื˜ื•ืŸ
โ€ข ืื™ื ื˜ืจืคื•ืœืฆื™ื™ืช ืœื’ืจื ื–'
ืื™ื“ื™ืืœื™ ืœื”ื ื“ืกื”, ืคื™ื–ื™ืงื” ื•ื ื™ืชื•ื— ื—ื™ืฉื•ื‘ื™.

๐Ÿ“Š ืฉื™ื˜ืช ื”ืจื™ื‘ื•ืขื™ื ื”ืคื—ื•ืชื™ื
ื‘ืฆืขื• ืจื’ืจืกื™ื™ืช ื ืชื•ื ื™ื ื•ื—ืฉืคื• ืžื’ืžื•ืช ื ืกืชืจื•ืช.
ื”ืชืื™ืžื• ืงื•ื•ื™ื ื™ืฉืจื™ื ืื• ืขืงื•ืžื•ืช, ื ืชื—ื• ื“ืคื•ืกื™ื ื•ื—ื–ื• ืขืจื›ื™ื ืขืชื™ื“ื™ื™ื ื‘ื“ื™ื•ืง ืกื˜ื˜ื™ืกื˜ื™.

๐Ÿง  ืœืžื” ืœื‘ื—ื•ืจ ื‘"ืฉื™ื˜ื•ืช ื ื•ืžืจื™ื•ืช" ืฉืœ AppInitDev

โœ… ืœืžื™ื“ื” ืชื•ืš ื›ื“ื™ ืขืฉื™ื™ื” โ€“ ืคืชืจื• ื‘ืขื™ื•ืช ื‘ืื•ืคืŸ ืื™ื ื˜ืจืืงื˜ื™ื‘ื™ ื•ื”ื‘ื™ื ื• ื›ืœ ืฉื™ื˜ื” ืฆืขื“ ืื—ืจ ืฆืขื“.
โœ… ืžืžืฉืง ืื™ื ื˜ื•ืื™ื˜ื™ื‘ื™ โ€“ ืขื•ืฆื‘ ืœื‘ื”ื™ืจื•ืช ื•ืงืœื•ืช ืฉื™ืžื•ืฉ, ื’ื ืœืžืชื—ื™ืœื™ื.
โœ… ื’ืจืคื™ื ื•ื™ื–ื•ืืœื™ื™ื โ€“ ืฆืคื• ื‘ืื™ื˜ืจืฆื™ื•ืช, ื‘ื”ืชื›ื ืกื•ืช ื•ื‘ืชื•ืฆืื•ืช ื‘ืืžืฆืขื•ืช ืชืจืฉื™ืžื™ื ื“ื™ื ืžื™ื™ื.
โœ… ื›ืœื™ ืœื™ืžื•ื“ ืžืฉืœื™ื โ€“ ืžื•ืฉืœื ืœืงื•ืจืกื™ื ืืงื“ืžื™ื™ื, ืžืขื‘ื“ื•ืช ื•ื”ื›ื ื” ืœื‘ื—ื™ื ื•ืช.
โœ… ืืœื’ื•ืจื™ืชืžื™ื ื‘ื“ื™ื•ืง ื’ื‘ื•ื” โ€“ ืงื‘ืœื• ืชื•ืฆืื•ืช ืืžื™ื ื•ืช ื•ืžืžื•ื˜ื‘ื•ืช ื‘ื›ืœ ืคืขื.

๐ŸŽ“ ืžื•ืฉืœื ืขื‘ื•ืจ
ืกื˜ื•ื“ื ื˜ื™ื ืœื”ื ื“ืกื” ื•ืžื“ืขื™ื
ืžืชืžื˜ื™ืงืื™ื ื•ืื ืœื™ืกื˜ื™ื ืฉืœ ื ืชื•ื ื™ื
ืžืจืฆื™ื ื•ื—ื•ืงืจื™ื
ื›ืœ ืžื™ ืฉืžืชืขื ื™ื™ืŸ ื‘ื—ื™ืฉื•ื‘ ื ื•ืžืจื™

๐Ÿ“ฒ ื”ื•ืจื™ื“ื• ืืช "ืฉื™ื˜ื•ืช ื ื•ืžืจื™ื•ืช" ืฉืœ AppInitDev ืขื•ื“ ื”ื™ื•ื
ืฉืœื˜ื• ื‘ืžืฉื•ื•ืื•ืช, ืื™ื ื˜ืจืคื•ืœืฆื™ื™ืช ื ืชื•ื ื™ื ื•ืจื’ืจืกื™ื” ื‘ื“ื™ื•ืง โ€“ ื•ืจืื• ืืช ื”ืžืชืžื˜ื™ืงื” ืžืชืขื•ืจืจืช ืœื—ื™ื™ื!
ืขื“ื›ื•ืŸ ืื—ืจื•ืŸ ื‘ืชืืจื™ืš
1 ื‘ืกืคื˜ืณ 2025

ืื‘ื˜ื—ื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.

ืžื” ื—ื“ืฉ?

โ€ข Numerical Methods Calculator: bisection, Newton-Raphson, secant, false position, fixed point, linear interpolation, quadratic interpolation, Newton interpolation, Lagrange interpolation, and least squares.

ืชืžื™ื›ื” ื‘ืืคืœื™ืงืฆื™ื”

ืžื™ื“ืข ืขืœ ืžืคืชื—ื™ ื”ืืคืœื™ืงืฆื™ื”
Adrian Antonio Sarmiento Porras
app.initiative.developer@gmail.com
C. INDEPENDENCIA S/N El Porvenir 71550 Oaxaca, Oax. Mexico

โ€ซืขื•ื“ ืžื‘ื™ืช AppInitDevโ€Žโ€

ืืคืœื™ืงืฆื™ื•ืช ื“ื•ืžื•ืช