+100
ื”ื•ื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

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

Euclideus Pro ื”ื•ื ื™ื™ืฉื•ื ืชื•ื›ื ื” ืฉื ื•ืขื“ ืœืกื™ื™ืข ืžื”ื ื“ืกื™ื, ืžื“ืขื ื™ื, ืžืชืžื˜ื™ืงืื™ื, ืžืชื›ื ืชื™ื - ื›ืœ ื”ืขื•ืกืงื™ื ืžืฉืžืขืช ื˜ื›ื ื™ืช. ื–ื” ืžืืคืฉืจ ื”ืขืจื›ื” ื’ืจืคื™ื ืฉืœ ืคืขื•ืœื•ืช ืžืชืžื˜ื™ื•ืช ืžืชืงื“ืžื•ืช, ื›ื’ื•ืŸ ืื™ื ื˜ื’ืจืฆื™ื” ื ื•ืžืจื™ืช, ื‘ื™ื“ื•ืœ ืื ืœื™ื˜ื™ืช, ืกื“ืจืช ืคื•ืจื™ื™ื”, ื•ืขื•ื“ ื‘ื˜ืœืคื•ืŸ ืื• ื‘ื˜ืื‘ืœื˜. ื‘ืขื•ื“ ื”ืžื“ืจื™ืš ื”ืžืœื ื”ืžื•ืฆืจ ื›ืœื•ืœ ื‘ื™ื™ืฉื•ื ืขืฆืžื• (ืชืคืจื™ื˜ Menu -> ื”ื•ืจืื•ืช), ืœื”ืœืŸ ืจืฉื™ืžื” ืฉืœ ืชื›ื•ื ื•ืช ืžืคืชื— Euclideus Pro:

- ื”ื’ืจืกื” Pro ืฉืœ Euclideus ืžื•ืกื™ืฃ ืžืžืฉืงื™ ื’ืจืคื™ื ืžืชืงื“ืžื™ื ืขื‘ื•ืจ 1D ื• 2D ื’ืจืคื™ื ื›ื™ ื™ืคื” ืžืฉืœื™ืžื™ื ืืช ืžืžืฉืง ื”ืžืชืžื˜ื™ืงื” ื”ืจืืฉื™, ื”ืžืืคืฉืจ ืœืš ืœื™ืฆื•ืจ ืžื’ืจืฉื™ื ืžื•ืจื›ื‘ื™ื ืžื•ืขืจืš ืฉืœ ื”ืคื•ื ืงืฆื™ื•ืช ืฉืœืš ื•ืืช ื”ื‘ื™ื˜ื•ื™ื™ื.

- Euclideus ืžื‘ื•ืกืก ืขืœ ื—ืฉื‘ื•ืŸ ื‘ืขืœ ืขืจืš ืžื•ืจื›ื‘ ืžื”ื™ืกื•ื“, ื›ืš ืฉื”ืชืคืงื•ื“ื™ื ื”ื‘ืกื™ืกื™ื™ื ื•ื”ืืจื™ืชืžื˜ื™ืงื” ืžื ื™ื—ื™ื ืฉื”ื›ืžื•ื™ื•ืช ืžื•ืจื›ื‘ื•ืช;
- ื”ื™ื ืžื‘ืฆืขืช ืคืขื•ืœื•ืช ืžืกืคืจื™ื•ืช ืžืชืงื“ืžื•ืช ื›ื’ื•ืŸ ืื™ื ื˜ื’ืจืฆื™ื”, ืฉื•ืจืฉ ื•ืžืžืฆืื™ ืฉื™ื, ื•ืคื™ืจื•ืง ื‘ืžืกืคืจ ืคืจื™ื™ื;
- ื”ื•ื ืžืขืจื™ืš ืื ืœื™ื˜ื™ืช ื ื’ื–ืจื•ืช ืฉืœ ืคื•ื ืงืฆื™ื•ืช ื•ื‘ื™ื˜ื•ื™ื™ื;
- ื ื™ืชืŸ ืœื”ืงืฆื•ืช ืžืฉืชื ื™ื ื•ืคื•ื ืงืฆื™ื•ืช ื‘ืขืœื•ืช ืขืจืš ืจื‘, ืœืฉื™ืžื•ืฉ ื‘ื‘ื™ื˜ื•ื™ื™ื ืื—ืจื™ื, ื‘ื“ื•ืžื” ืœื—ื‘ื™ืœื•ืช ืชื•ื›ื ื” ืžื“ืขื™ื•ืช ืžืชืงื“ืžื•ืช ื™ื•ืชืจ;
- ื”ื•ื ื™ื›ื•ืœ ืœื”ืขืจื™ืš ื›ืžื” ืคื•ื ืงืฆื™ื•ืช ืžื™ื•ื—ื“ื•ืช, ื›ื’ื•ืŸ ืคื•ื ืงืฆื™ื•ืช Airy ื• Bessel, ื• ื”ืงืฉื•ืจื™ื Polynomial Legendre;
- ื–ื” ื™ื›ื•ืœ ืœื‘ืฆืข NR ืกื“ืจ ืจื’ืจืกื™ื” ืคื•ืœื™ื ื•ืžื™ืช (ื• ืคืœื˜ ื”ืขืจื›ื•ืช ืฉื’ื™ืื” ืขืœ ืคืจืžื˜ืจื™ื) ืฉืœ ืงื‘ื•ืฆื” ืฉืœ ื ืงื•ื“ื•ืช ื ืชื•ื ื™ื;
- ื”ื•ื ืžืžื™ืจ ื‘ื™ืŸ ืžืกืคืจื™ื ื‘ื™ื ืืจื™ื™ื, ื”ืงืกื“ืฆื™ืžืœื™ื™ื ื•ืขืฉืจื•ื ื™ื™ื (ื›ื•ืœืœ ืžืกืคืจื™ื ืฉื‘ืจื™ืจื™ื™ื);
- ื’ืœื™ื•ื ื•ืช ืขื‘ื•ื“ื” Euclideus (ื”ื›ื•ืœืœื™ื ืืช ื›ืœ ื”ืžืฉืชื ื™ื ืฉื”ื•ืงืฆื• ื•ืคื•ื ืงืฆื™ื•ืช, ื™ื—ื“ ืขื ื”ื”ื™ืกื˜ื•ืจื™ื” ืงืœื˜) ื ื™ืชืŸ ืœืฉืžื•ืจ ื• ื ื˜ืขืŸ ืžืชื•ืš ืžืขืจื›ืช ื”ืงื‘ืฆื™ื;
- ืœื—ืฅ ืขืœ ืœื—ืฆืŸ ืชืคืจื™ื˜ Android, ื•ืœืื—ืจ ืžื›ืŸ ืขืœ "ื”ื•ืจืื•ืช" ืขื‘ื•ืจ ืžื“ืจื™ืš ืžื•ืฆืจ ืžืœื;

Euclideus ื”ื•ื ื›ืœื™ ืžืฆื•ื™ืŸ ืœื‘ื™ืฆื•ืข ื ื™ืชื•ื— ืžืชืงื“ื ื‘- the-go, ืฉื‘ื• ื”ืžื—ืฉื‘ ืื™ื ื• ื–ืžื™ืŸ.
ืขื“ื›ื•ืŸ ืื—ืจื•ืŸ ื‘ืชืืจื™ืš
21 ื‘ื ื•ื‘ื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?

Implemented exponentiation of matrices and scalars: A^B for any scalar or matrix pair A and B, if A is a matrix this is equivalent to A.pow(B)

ืชืžื™ื›ื” ื‘ืืคืœื™ืงืฆื™ื”

ืžื™ื“ืข ืขืœ ืžืคืชื—ื™ ื”ืืคืœื™ืงืฆื™ื”
Justin Gagnon
justin.gee@gmx.com
2274 Princess St #428 Kingston, ON K7M 3G4 Canada
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ืืคืœื™ืงืฆื™ื•ืช ื“ื•ืžื•ืช