Wolfram Function Repository: ืขืคึฟืŸ ืึทืงืกืขืก ืคึผืœืึทื˜ืคืึธืจืžืข ืคึฟืึทืจ Wolfram ืฉืคึผืจืึทืš ื™ืงืกื˜ืขื ืฉืึทื ื–

ื”ืขืœื, ื”ืื‘ืจ! ืื™ืš ืคืึธืจืฉื˜ืขืœืŸ ืฆื• ื“ื™ื™ืŸ ื•ืคืžืขืจืงื–ืึทืžืงื™ื™ึทื˜ ืึท ืื™ื‘ืขืจื–ืขืฆื•ื ื’ ืคื•ืŸ Stephen Wolfram ืก ืคึผืึธืกื˜ืŸ "ื“ื™ ื•ื•ืึธืœืคืจืึทื ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™: ืœืึธื ื˜ืฉื™ื ื’ ืึทืŸ ืึธืคึฟืŸ ืคึผืœืึทื˜ืคืึธืจืžืข ืคึฟืึทืจ ื™ืงืกื˜ืขื ื“ื™ื ื’ ื“ื™ ื•ื•ืึธืœืคืจืึทื ืฉืคึผืจืึทืš".

Wolfram Function Repository: ืขืคึฟืŸ ืึทืงืกืขืก ืคึผืœืึทื˜ืคืึธืจืžืข ืคึฟืึทืจ Wolfram ืฉืคึผืจืึทืš ื™ืงืกื˜ืขื ืฉืึทื ื–

ืคึผืจื™ืจืขืงื•ื•ืึทื–ืึทืฅ ืคึฟืึทืจ ื“ื™ ืงืึธื ืกื™ืกื˜ืขื ืกื™ ืคื•ืŸ ื“ื™ ื•ื•ืึธืœืคืจืึทื ืฉืคึผืจืึทืš

ื”ื™ื™ึทื ื˜ ืžื™ืจ ืฉื˜ื™ื™ืŸ ืื•ื™ืฃ ื“ืขืจ ืฉื•ื•ืขืœ ืคื•ืŸ ื’ืจื•ื™ืก ื“ืขืจื’ืจื™ื™ื›ื•ื ื’ืขืŸ ืฆื•ื–ืึทืžืขืŸ ืžื™ื˜ ื“ื™ ืคึผืจืึธื’ืจืึทืžืžื™ื ื’ ืฉืคึผืจืึทืš ื•ื•ืึธืœืคืจืึทื ืฉืคึผืจืึทืš. ื ืึธืจ ื“ืจื™ื™ ื•ื•ืึธื›ืŸ ืฆื•ืจื™ืง ืžื™ืจ ืœืึธื ื˜ืฉื˜ Free Wolfram ืžืึธื˜ืึธืจ ืคึฟืึทืจ ื“ืขื•ื•ืขืœืึธืคึผืขืจืกืฆื• ื”ืขืœืคึฟืŸ ืื•ื ื“ื–ืขืจ ื™ื•ื–ืขืจื– ื•ื™ืกืฉื˜ื™ืžืขืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš ืื™ืŸ ื–ื™ื™ืขืจ ื’ืจื•ื™ืก-ื•ื•ืึธื’ ื•ื•ื™ื™ื›ื•ื•ืืจื’ ืคึผืจืึทื“ื–ืฉืขืงืก. ื”ื™ื™ึทื ื˜ ืžื™ืจ ื–ืขื ืขืŸ ืœืึธื ื˜ืฉื™ื ื’ Wolfram ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™, ืื™ืŸ ืกื“ืจ ืฆื• ืฆื•ืฉื˜ืขืœืŸ ืึท ืงืึธื•ืึธืจื“ืึทื ื™ื™ื˜ื™ื“ ืคึผืœืึทื˜ืคืึธืจืžืข ืคึฟืึทืจ ืคืึทื ื’ืงืฉืึทื ื– ื‘ืืฉืืคืŸ ืฆื• ืคืึทืจื‘ืจื™ื™ื˜ืขืจืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš, ืื•ืŸ ืžื™ืจ ืื•ื™ืš ืขืคึฟืขื ืขืŸ ืึท ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ืคื•ืŸ ืคืึทื ื’ืงืฉืึทื ื– ืคึฟืึทืจ ื•ื•ืขืจ ืขืก ื™ื– ื•ื•ืึธืก ืงืขื ืขืŸ ื‘ื™ื™ืฉื˜ื™ื™ืขืจืŸ ืฆื• ื“ืขืจ ืึทื ื˜ื•ื•ื™ืงืœื•ื ื’ ืคื•ืŸ ืื•ื ื“ื–ืขืจ ื•ื•ื™ื™ื›ื•ื•ืืจื’ ืคึผืจืึธื“ื•ืงื˜.

ื“ื™ Wolfram Function Repository ืื™ื– ืขืคึผืขืก ืžืขื’ืœืขืš ื’ืขืžืื›ื˜ ื“ื•ืจืš ื“ื™ ื™ื™ื ืฆื™ืง ื ืึทื˜ื•ืจ ืคื•ืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš ื ื™ื˜ ื‘ืœื•ื™ื– ื•ื•ื™ ืึท ืคึผืจืึธื’ืจืึทืžืžื™ื ื’ ืฉืคึผืจืึทืš, ืึธื‘ืขืจ ืื•ื™ืš ื•ื•ื™ ืึท ืคื•ืœ-ื•ื•ืึธื’ ืงืึทืžืคึผื™ื•ื˜ื™ื ื’ ืฉืคึผืจืึทืš. ืื™ืŸ ื‘ืขืงืึทื‘ืึธืœืขื“ื™ืง ืคึผืจืึธื’ืจืึทืžืžื™ื ื’ ืฉืคืจืึทื›ืŸ, ืึทื“ื™ื ื’ ื‘ืึทื˜ื™ื™ึทื˜ื™ืง ื ื™ื™ึทืข ืคืึทื ื’ืงืฉืึทื ืึทืœื™ื˜ื™ ื™ื•ื–ืฉืึทื•ื•ืึทืœื™ ื™ื ื•ื•ืึทืœื•ื•ื– ืงืจื™ื™ื™ื˜ื™ื ื’ ื’ืึทื ืฅ ื ืึธืš ืœื™ื™ื‘ืจืขืจื™ื– ื•ื•ืึธืก ืงืขืŸ ืึธื“ืขืจ ืงืขืŸ ื ื™ืฉื˜ ืึทืจื‘ืขื˜ืŸ ื•ื•ืขืŸ ื’ืขื•ื•ื™ื™ื ื˜ ืฆื•ื–ืึทืžืขืŸ. ืึธื‘ืขืจ, ืื™ืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš ืื–ื•ื™ ืคื™ืœ ืื™ื– ืฉื•ื™ืŸ ืื™ื™ื ื’ืขื‘ื•ื™ื˜ ืื™ืŸ ื“ืขืจ ืฉืคืจืืš ื’ื•ืคื, ืึทื– ืขืก ืื™ื– ืžืขื’ืœืขืš ืฆื• ื‘ืื˜ื™ื™ื˜ื™ืง ื™ืงืกืคึผืึทื ื“ ื–ื™ื™ึทืŸ ืคืึทื ื’ืงืฉืึทื ืึทืœื™ื˜ื™ ื“ื•ืจืš ืคืฉื•ื˜ ืœื™ื™ื’ืŸ ื ื™ื™ึทืข ืคืึทื ื’ืงืฉืึทื ื– ื•ื•ืึธืก ื–ืขื ืขืŸ ื’ืœื™ื™ืš ื™ื ืึทื’ืจื™ื™ื˜ื™ื“ ืื™ืŸ ื“ื™ ื”ืึธืœื™ืกื˜ื™ืง ืกื˜ืจื•ืงื˜ื•ืจ ืคื•ืŸ ื“ื™ ื’ืื ืฆืข ืฉืคึผืจืึทืš.

ืคึฟืึทืจ ื‘ื™ื™ึทืฉืคึผื™ืœ, ื“ื™ Wolfram ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ืฉื•ื™ืŸ ื›ึผื•ืœืœ 532 ื ื™ื™ึท ืคึฟืขื™ึดืงื™ื™ื˜ืŸ ืกื˜ืจืึทืงื˜ืฉืขืจื“ ืื™ืŸ 26 ื˜ื™ืžืึทื˜ื™ืง ืงืึทื˜ืขื’ืึธืจื™ืขืก:

Wolfram Function Repository: ืขืคึฟืŸ ืึทืงืกืขืก ืคึผืœืึทื˜ืคืึธืจืžืข ืคึฟืึทืจ Wolfram ืฉืคึผืจืึทืš ื™ืงืกื˜ืขื ืฉืึทื ื–

ืคึผื•ื ืงื˜ ืึทื–ื•ื™ ืžืขืจ ื•ื•ื™ 6000 ื ืึธืจืžืึทืœ ืคืึทื ื’ืงืฉืึทื ื–, ื’ืขื‘ื•ื™ื˜ ืื™ืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš, ื™ืขื“ืขืจ ืคื•ื ืงืฆื™ืข ืคึฟื•ืŸ ื“ื™ ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ื”ืื˜ ืึท ื“ืึทืงื™ื•ืžืขื ื˜ื™ื™ืฉืึทืŸ ื‘ืœืึทื˜ ืžื™ื˜ ืึท ื“ื™ื˜ื™ื™ืœื“ ื‘ืึทืฉืจื™ื™ึทื‘ื•ื ื’ ืคื•ืŸ ื–ื™ื™ ืื•ืŸ ื‘ื™ื™ืฉืคื™ืœืŸ ืคื•ืŸ ืึทืจื‘ืขื˜:

Wolfram Function Repository: ืขืคึฟืŸ ืึทืงืกืขืก ืคึผืœืึทื˜ืคืึธืจืžืข ืคึฟืึทืจ Wolfram ืฉืคึผืจืึทืš ื™ืงืกื˜ืขื ืฉืึทื ื–

ืฆื• ื‘ืึทืงื•ืžืขืŸ ืฆื• ื“ืขื ื‘ืœืึทื˜, ื ืึธื›ืžืึทื›ืŸ ื“ื™ ืื•ื™ื‘ืŸ ื›ื™ื™ืคืขืฅ (ืคื•ื ืงืฆื™ืข BLOB), ืคึผืึทืคึผ ืขืก ืื™ืŸ ื“ื™ ืึทืจื™ื™ึทื ืฉืจื™ื™ึทื‘ ืฉื•ืจื” ืื•ืŸ ืœื•ื™ืคืŸ ื“ื™ ืคึฟื•ื ืงืฆื™ืข - ืขืก ืื™ื– ืฉื•ื™ืŸ ื’ืขื‘ื•ื™ื˜ ืื™ืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš ืื•ืŸ ื’ืขืฉื˜ื™ืฆื˜ ื“ื•ืจืš ืคืขืœื™ืงื™ื™ึทื˜ ืกื˜ืึทืจื˜ื™ื ื’ ืžื™ื˜ ื•ื•ืขืจืกื™ืข 12.0:

Wolfram Function Repository: ืขืคึฟืŸ ืึทืงืกืขืก ืคึผืœืึทื˜ืคืึธืจืžืข ืคึฟืึทืจ Wolfram ืฉืคึผืจืึทืš ื™ืงืกื˜ืขื ืฉืึทื ื–

ืขืก ื–ืึธืœ ื–ื™ื™ืŸ ืื ื’ืขื•ื•ื™ื–ืŸ ื“ืึธ ืึทื– ื•ื•ืขืŸ ืคึผืจืึทืกืขืกื™ื ื’ LogoQRCode ืื™ืจ ื˜ืึธืŸ ื ื™ื˜ ื“ืึทืจืคึฟืŸ, ืœืžืฉืœ, ืฆื• ืฉื˜ืขืœืŸ ืึท "ื‘ื™ืœื“ ืคึผืจืึทืกืขืกื™ื ื’ ื‘ื™ื‘ืœื™ืึธื˜ืขืง" - ื–ื™ื ื˜ ืžื™ืจ ื”ืึธื‘ืŸ ืฉื•ื™ืŸ ื™ืžืคึผืœืึทืžืขื ืึทื“ ืึท ืงืึธื ืกื™ืกื˜ืขื ื˜ ืื•ืŸ ืงืขืจืคืึทืœื™ ืึทืœื’ืขืจื™ื“ืึทืžื™ืง ื•ื•ืขื’ ืื™ืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš ื‘ื™ืœื“ ืคึผืจืึทืกืขืกื™ื ื’, ื•ื•ืึธืก ืงืขื ืขืŸ ื–ื™ื™ืŸ ื’ืœื™ื™ืš ืคึผืจืึทืกืขืกื˜ ื“ื•ืจืš ืคืึทืจืฉื™ื“ืŸ ื’ืจืึทืคื™ืงืึทืœ ืฉืคึผืจืึทืš ืคืึทื ื’ืงืฉืึทื ื–:

Wolfram Function Repository: ืขืคึฟืŸ ืึทืงืกืขืก ืคึผืœืึทื˜ืคืึธืจืžืข ืคึฟืึทืจ Wolfram ืฉืคึผืจืึทืš ื™ืงืกื˜ืขื ืฉืึทื ื–

ืื™ืš ื”ืึธืคึฟืŸ ืึทื– ืžื™ื˜ ื“ื™ ืฉื˜ื™ืฆืŸ ื•ื•ื•ื ื“ืขืจืœืขืš ืื•ืŸ ื˜ืึทืœืึทื ื˜ื™ืจื˜ ืงื”ืœ, ื•ื•ืึธืก ืื™ื– ื’ืจืึธื•ื™ื ื’ ืื•ืŸ ื™ืงืกืคึผืึทื ื“ื™ื“ (ื‘ืื–ื™ืจื˜ ืื•ื™ืฃ ื“ื™ ื•ื•ืึธืœืคืจืึทื ืฉืคึผืจืึทืš) ืื™ืŸ ื“ื™ ืœืขืฆื˜ืข ืขื˜ืœืขื›ืข ื™ืึธืจืฆืขื ื“ืœื™ื ื’. ื“ื™ Wolfram ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ื•ื•ืขื˜ ืœืึธื–ืŸ ืคึฟืึทืจ ื“ื™ ืคืึธืจืกื™ืึทื‘ืึทืœ ืฆื•ืงื•ื ืคึฟื˜ ื‘ืื˜ื™ื™ื˜ื™ืง ื™ืงืกืคึผืึทื ื“ ื“ื™ ืงื™ื™ื˜ ืคื•ืŸ (ืขืคืฉืขืจ ืคึผืึทื˜ืขื ื˜ืฉืึทืœื™ ื‘ืึทื˜ื™ื™ึทื˜ื™ืง, ืกืคึผืขืฉืึทืœื™ื™ื–ื“ ืื™ืŸ ืคืึทืจืฉื™ื“ืŸ ืคืขืœื“ืขืจ ืคื•ืŸ ื•ื•ื™ืกื ืฉืึทืคึฟื˜ ืื•ืŸ ื˜ืขื›ื ืึธืœืึธื’ื™ืข) ืคืึทื ื’ืงืฉืึทื ื– ื‘ื ื™ืžืฆื ืื™ืŸ ื“ืขืจ ืฉืคึผืจืึทืš. ืื–ื•ื™, ืขืก ื•ื•ืขืจื˜ ืžืขื’ืœืขืš ืฆื• ื ื•ืฆืŸ ื‘ื™ื™ื“ืข ื“ื™ ืื™ื ื”ืึทืœื˜ ืคื•ืŸ ื“ื™ ืฉืคึผืจืึทืš (ื–ื™ื™ึทืŸ ื’ืขื‘ื•ื™ื˜-ืื™ืŸ ืคืึทื ื’ืงืฉืึทื ื–) ืื•ืŸ ืึทื ื˜ื•ื•ื™ืงืœื•ื ื’ ืคึผืจื™ื ืฆื™ืคึผืŸ, ื•ื•ืึธืก ื–ืขื ืขืŸ ื™ืžืคึผืœืึทืžืขื ืึทื“ ื‘ืื–ื™ืจื˜ ืื•ื™ืฃ ื“ื™ ืฉืคึผืจืึทืš. (ืขืก ื–ืึธืœ ื–ื™ื™ืŸ ื‘ืืžืขืจืงื˜ ื“ืึธ ืึทื– ื“ื™ Wolfram ืฉืคึผืจืึทืš ื”ืื˜ ืฉื•ื™ืŸ ืžืขืจ ื•ื•ื™ 30-ื™ืึธืจ ื’ืขืฉื™ื›ื˜ืข ืคื•ืŸ โ€‹โ€‹ืึทื ื˜ื•ื•ื™ืงืœื•ื ื’ ืื•ืŸ ืกื˜ืึทื‘ื™ืœ ื•ื•ื•ึผืงืก).
ืคืึทื ื’ืงืฉืึทื ื– ืคื•ืŸ ื“ื™ ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ืงืขืŸ ืึทื ื˜ื”ืึทืœื˜ืŸ ืงืœื™ื™ืŸ ืึธื“ืขืจ ื’ืจื•ื™ืก ืงืึธื“ ื‘ืจืขืงืœืขืš ื’ืขืฉืจื™ื‘ืŸ ืื™ืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš. ืคึฟืึทืจ ื‘ื™ื™ึทืฉืคึผื™ืœ, ื“ืึธืก ืงืขืŸ ื–ื™ื™ืŸ ืจื•ืคื˜ ืคื•ื ื“ืจื•ื™ืกื ื“ื™ืง ืึทืคึผื™ืก ืื•ืŸ ื‘ืึทื“ื™ื ื•ื ื’ืก ืึธื“ืขืจ ืคื•ื ื“ืจื•ื™ืกื ื“ื™ืง ืœื™ื™ื‘ืจืขืจื™ื– ืื™ืŸ ืื ื“ืขืจืข ืฉืคึผืจืึทื›ืŸ. ื“ื™ ื™ื™ื ืฆื™ืง ืฉื˜ืจื™ืš ืคื•ืŸ ื“ืขื ืฆื•ื’ืึทื ื’ ืื™ื– ืึทื– ื•ื•ืขืŸ ืื™ืจ ื“ืจื™ืœื™ื ื’ ืึทืจืึธืคึผ ืฆื• ื‘ืึทื ื™ืฆืขืจ-ืžื“ืจื’ื” ืคืึทื ื’ืงืฉืึทื ืึทืœื™ื˜ื™, ืขืก ื•ื•ืขื˜ ื–ื™ื™ืŸ ืงื™ื™ืŸ ืคึผืึธื˜ืขื ืฆื™ืขืœ ื™ื ื’ืงืึทื ืกื™ืกื˜ืขื ืกื™ื– ื•ื•ื™ื™ึทืœ ื“ืขืจ ืฆื•ื’ืึทื ื’ ืื™ื– ื’ืขื‘ื•ื™ื˜ ืื•ื™ืฃ ืฉืคึผื™ืฅ ืคื•ืŸ ื“ื™ ืงืึธื ืกื™ืกื˜ืขื ื˜ ืกื˜ืจื•ืงื˜ื•ืจ ืคื•ืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš - ืื•ืŸ ื™ืขื“ืขืจ ืคึฟื•ื ืงืฆื™ืข ื•ื•ืขื˜ ืื•ื™ื˜ืึธืžืึทื˜ื™ืฉ ืึทืจื‘ืขื˜ ืจื™ื›ื˜ื™ืง - ืคึผื•ื ืงื˜ ื•ื•ื™ ื–ื™ ื–ืึธืœ.
ื“ื™ ืฉืึธืœ ืื•ืŸ ืคึผืจืึธื’ืจืึทืžืžื™ื ื’ ืกื˜ืจื•ืงื˜ื•ืจ ืคื•ืŸ ื“ื™ Wolfram Feature Repository ืื™ื– ื“ื™ื–ื™ื™ื ื“ ืึทื–ื•ื™ ืึทื– ืึทืœืขืžืขืŸ ืงืขื ืขืŸ ื‘ื™ื™ืฉื˜ื™ื™ืขืจืŸ ืฆื• ื“ืขืจ ืคึผืจืึธืกื˜ ืกื™ื‘ื” ืื•ื™ืฃ ื“ื™ ืžืขืจืกื˜ ืคึผืฉื•ื˜ ืื•ืŸ ื‘ืึทืงื•ื•ืขื ื•ื•ืขื’ ืคึฟืึทืจ ื–ื™ื™ - ืื™ืŸ ืคืึทืงื˜, ื ืึธืจ ื“ื•ืจืš ืคึผืœืึธืžื‘ื™ืจืŸ ื“ื™ ื ืึธื˜ืขืคึผืึทื“ ื˜ืขืงืกื˜ ื˜ืขืงืข (ืžื™ื˜ nb ื’ืขืฉืคึผืจื™ื™ื˜) WL. ื’ืขื‘ื•ื™ื˜-ืื™ืŸ ืึธื˜ืึทืžืึทื˜ื™ืง ืคืึทื ื’ืงืฉืึทื ื– ืœืึธื–ืŸ ืื™ืจ ืฆื• ืงืึธื ื˜ืจืึธืœื™ืจืŸ ื ื™ื™ึท ืคืึทื ื’ืงืฉืึทื ื– ืฆื•ื’ืขื’ืขื‘ืŸ ืฆื• ื“ื™ ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ืฆื• ืขื ืฉื•ืจ ื–ื™ื™ืขืจ ื™ื ืึทื’ืจื™ื™ืฉืึทืŸ ืื™ืŸ ื“ื™ ืฉืคึผืจืึทืš. ืื•ื ื“ื–ืขืจ ืคื™ืจืžืข ืื™ื– ื‘ืขื˜ื™ื ื’ ืื•ื™ืฃ ื“ื™ ื‘ืจื™ื™ื˜ ืงื™ื™ื˜ ืคื•ืŸ ื ื™ืฆืขืจืก ื•ื•ืึธืก ืงืขื ืขืŸ ื•ื™ืกืฉื˜ื™ืžืขืŸ ื–ื™ื™ืขืจ ืคืึทื ื’ืงืฉืึทื ื– ืื™ืŸ ื“ืขืจ ืฉืคึผืจืึทืš, ืืœื ื•ื•ื™ ืื•ื™ืฃ ื“ื™ ื’ืจื•ื™ืก ืงืึทืžืคึผืœืขืงืกื™ื˜ื™ ืคื•ืŸ ื ื™ื™ึทืข ืคืึทื ื’ืงืฉืึทื ื– - ืื•ืŸ ื›ืึธื˜ืฉ ืขืก ืื™ื– ืึท ืจืขืฆืขื ื–ื™ืข ืคึผืจืึธืฆืขืก, ืžื™ืจ ื˜ืึธืŸ ื ื™ื˜ ื‘ืึทืฉื˜ื™ื™ืŸ ืื•ื™ืฃ ืขืคึผืขืก ื•ื•ื™ ืคึผื™ื™ื ืกื˜ื™ื™ืงื™ื ื’ ืคึผืœืึทืŸ ืึทื ืึทืœื™ืกื™ืก ืึธื“ืขืจ ืฉื˜ืจืขื ื’ ืกื˜ืึทื ื“ืึทืจื“ืก ืคึฟืึทืจ ื“ื™ ืงืึทืžืคึผืœื™ื˜ื ืึทืก ืื•ืŸ ืจื™ืœื™ื™ืึทื‘ื™ืœืึทื˜ื™ ืคื•ืŸ ื ื™ื™ึทืข ื‘ืึทื ื™ืฆืขืจ ืคึฟืขื™ึดืงื™ื™ื˜ืŸ, ื•ื•ื™ ืงืขื’ืŸ ืฆื• ื“ื™ ืžืขืจ ืฉื˜ืจืขื ื’ ื˜ืขืกื˜ื™ื ื’ ืคื•ืŸ ืคึฟืขื™ึดืงื™ื™ื˜ืŸ ื’ืขื‘ื•ื™ื˜ ืื™ืŸ ื“ื™ ื”ืึทืจืฅ ืฉืคึผืจืึทืš ื•ื•ืึธืก ืžื™ืจ ื ื•ืฆืŸ.

ืขืก ื–ืขื ืขืŸ ืคื™ืœืข ื”ืึทื ื“ืœ-ืึธืคืก ืื•ืŸ ื“ืขื˜ืึทื™ืœืก ืื™ืŸ ื“ืขื ืฆื•ื’ืึทื ื’, ืึธื‘ืขืจ ืื•ื ื“ื–ืขืจ ืฆื™ืœ ืื™ื– ืฆื• ืึทืคึผื˜ืึทืžื™ื™ื– ื“ื™ Wolfram ืฉื˜ืจื™ืš ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ื‘ื™ื™ื“ืข ืคึฟืึทืจ ื“ื™ ื‘ืึทื ื™ืฆืขืจ ื“ืขืจืคืึทืจื•ื ื’ ืื•ืŸ ืฆื• ืขื ืฉื•ืจ ืึทื– ื ื™ื™ึทืข ื‘ืึทื ื™ืฆืขืจ ืคึฟืขื™ึดืงื™ื™ื˜ืŸ ื‘ื™ื™ืฉื˜ื™ื™ืขืจืŸ ืžื™ื ื™ื ื’ืคืึทืœื™ ืฆื• ื“ืขืจ ืึทื ื˜ื•ื•ื™ืงืœื•ื ื’ ืคื•ืŸ ื“ืขืจ ืฉืคึผืจืึทืš. ื•ื•ืขืŸ ืžื™ืจ ื•ื•ืึทืงืกืŸ, ืื™ืš ื”ืึธื‘ืŸ ืงื™ื™ืŸ ืฆื•ื•ื™ื™ืคืœ ืึทื– ืžื™ืจ ื•ื•ืขืœืŸ ื”ืึธื‘ืŸ ืฆื• ืื•ื™ืกื˜ืจืึทื›ื˜ืŸ ื ื™ื™ึทืข ืžืขื˜ื”ืึธื“ืก ืคึฟืึทืจ ืคึผืจืึทืกืขืกื™ื ื’ ืื•ืŸ ื•ื•ืึทืœืึทื“ื™ื™ื˜ื™ื ื’ ืคืึทื ื’ืงืฉืึทื ื– ื’ืขื‘ื•ื™ื˜ ืื™ืŸ ื“ื™ ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™, ื ื™ื˜ ืงืœืขื ืกื˜ืขืจ ืคึฟืึทืจ ืึธืจื’ืึทื ื™ื™ื–ื™ื ื’ ื’ืจื•ื™ืก ื ื•ืžืขืจ ืคื•ืŸ ืคืึทื ื’ืงืฉืึทื ื– ืื•ืŸ ื’ืขืคึฟื™ื ืขืŸ ื“ื™ ื•ื•ืึธืก ื™ื•ื–ืขืจื– ื“ืึทืจืคึฟืŸ. ืึธื‘ืขืจ, ืขืก ืื™ื– ื™ื ืงืขืจืึทื“ื–ืฉื™ื ื’ ืึทื– ื“ืขืจ ื“ืจืš ื•ื•ืึธืก ืžื™ืจ ื”ืึธื‘ืŸ ืื•ื™ืกื“ืขืจื•ื•ื™ื™ืœื˜ ืื™ื– ืึท ื’ื•ื˜ ืึธื ื”ื™ื™ื‘. ืื™ืš ืคึผืขืจืกื ืึทืœื™ ืฆื•ื’ืขื’ืขื‘ืŸ ืขื˜ืœืขื›ืข ืคึฟืขื™ึดืงื™ื™ื˜ืŸ ืฆื• ื“ืขืจ ืึธืจื™ื’ื™ื ืขืœ ื“ืึทื˜ืึทื‘ื™ื™ืก. ืคื™ืœืข ืคื•ืŸ โ€‹โ€‹ื–ื™ื™ ื–ืขื ืขืŸ ื‘ืื–ื™ืจื˜ ืื•ื™ืฃ ืงืึธื“ ื•ื•ืึธืก ืื™ืš ื”ืึธื‘ืŸ ืคึผืขืจืกื ืึทืœื™ ื“ืขื•ื•ืขืœืึธืคึผืขื“ ืคึฟืึทืจ ื’ืึทื ืฅ ืขื˜ืœืขื›ืข ืžืึธืœ. ืื•ืŸ ืขืก ื ืึธืจ ื’ืขื ื•ืžืขืŸ ืžื™ืจ ืึท ื‘ื™ืกืœ ืžื™ื ื•ื˜ ืฆื• ืฉื˜ื•ืคึผืŸ ื–ื™ื™ ืฆื• ื“ื™ ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™. ืื™ืฆื˜ ืึทื– ื–ื™ื™ ื–ืขื ืขืŸ ืื™ืŸ ื“ื™ ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™, ืื™ืš ืงืขื ืขืŸ ืœืขืกืึธืฃ - ื’ืœื™ื™ืš ืื•ืŸ ืื™ืŸ ืงื™ื™ืŸ ืฆื™ื™ื˜ - ื ื•ืฆืŸ ื“ื™ ืคืึทื ื’ืงืฉืึทื ื– ื•ื•ื™ ื“ืืจืฃ, ืึธืŸ ื–ืืจื’ืŸ ื•ื•ืขื’ืŸ ื–ื•ื›ืŸ ืคึฟืึทืจ ื˜ืขืงืขืก, ื“ืึทื•ื ืœืึธื•ื“ื™ื ื’ ืคึผืึทืงืึทื“ื–ืฉืึทื–, ืืื–"ื• ื•.

ื™ื ืงืจืขืึทืกื™ื ื’ ืขืคืขืงื˜ื™ื•ื•ืงื™ื™ึทื˜ ื‘ืฉืขืช ืจื™ื“ื•ืกื™ื ื’ ืงืึธืก

ืืคื™ืœื• ืื™ื™ื“ืขืจ ื“ื™ ืื™ื ื˜ืขืจื ืขื˜, ืขืก ื–ืขื ืขืŸ ื’ืขื•ื•ืขืŸ ื•ื•ืขื’ืŸ ืฆื• ื˜ื™ื™ืœืŸ Wolfram ืฉืคึผืจืึทืš ืงืึธื“ (ืื•ื ื“ื–ืขืจ ืขืจืฉื˜ืขืจ ื”ื•ื™ืคึผื˜ ืกืขื ื˜ืจืึทืœื™ื™ื–ื“ ืคึผืจื•ื™ืขืงื˜ ืื™ื– ื’ืขื•ื•ืขืŸ MathSource, ื‘ืืฉืืคืŸ ืคึฟืึทืจ Mathematica ืื™ืŸ 1991 ื‘ืื–ื™ืจื˜ ืื•ื™ืฃ ืกื™-ืจืึทื, ืืื–"ื• ื•). ื“ืึธืš, ื“ืขืจ ืฆื•ื’ืึทื ื’ ืคืืจื’ืขืœื™ื™ื’ื˜ ืคึฟืึทืจ ื™ืžืคึผืœืึทืžืขื ื˜ื™ื™ืฉืึทืŸ ื‘ืื–ื™ืจื˜ ืื•ื™ืฃ ื“ื™ Wolfram ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ืื™ื– ืึท ืžืขืจ ืฉื˜ืึทืจืง ืื•ืŸ ืคืึทืจืœืึธื–ืœืขืš ื’ืขืฆื™ื™ึทื’ ืคึฟืึทืจ ื™ืžืคึผืœืึทืžืขื ื™ื ื’ ื“ื™ ืื•ื™ื‘ืŸ ื˜ืึทืกืงืก.

ืคึฟืึทืจ ืื™ื‘ืขืจ 30 ื™ืึธืจ, ืื•ื ื“ื–ืขืจ ืคื™ืจืžืข ื”ืื˜ ืคืœื™ื™ืกื™ืง ื’ืขืืจื‘ืขื˜ ืฆื• ื”ืึทืœื˜ืŸ ื“ื™ ืึธืจื ื˜ืœืขื›ืงื™ื™ึทื˜ ืคื•ืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš ืกื˜ืจื•ืงื˜ื•ืจ, ืื•ืŸ ื“ืึธืก ืื™ื– ืงืจื™ื˜ื™ืฉ ืฆื• ืขื ืฉื•ืจ ืึทื– ื“ื™ Wolfram ืฉืคึผืจืึทืš ื•ื•ืขืจื˜ ื ื™ื˜ ื‘ืœื•ื™ื– ืึท ืคึผืจืึธื’ืจืึทืžืžื™ื ื’ ืฉืคึผืจืึทืš, ืึธื‘ืขืจ ืื•ื™ืš ืึท ืคึผืจืึธื’ืจืึทืžืžื™ื ื’ ืฉืคึผืจืึทืš. ืคื•ืœ-ืคืœืขื“ื–ืฉื“ ืงืึทืžืคึผื™ื•ื˜ื™ื ื’ ืฉืคึผืจืึทืš. ืื•ืŸ ืึทื–ื•ื™, ื“ื™ ืขืกืึทื ืก ืคื•ืŸ ื“ืขืจ ืฆื•ื’ืึทื ื’ ืฆื• ื™ืžืคึผืœืึทืžืขื ื™ื ื’ ื“ื™ Wolfram ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ืื™ื– ืฆื• ื ื•ืฆืŸ ืึท ื™ื•ื ืึทืคื™ื™ื“ ืฆื•ื’ืึทื ื’ ืฆื• ืคึผืจืึธื’ืจืึทืžืžื™ื ื’ ืื•ืŸ ื“ืขื•ื•ืขืœืึธืคึผื™ื ื’ ื ื™ื™ึทืข ืคืึทื ื’ืงืฉืึทื ื– ื•ื•ืึธืก ื–ืขื ืขืŸ ืกืึทืงื•ื•ืขื ื˜ืฉืึทืœื™ ืฆื•ื’ืขื’ืขื‘ืŸ ืื•ืŸ ืคึผืึทืกื™ืง ืื™ืŸ ื“ื™ ืคืจื™ื™ืžื•ื•ืขืจืง ืคื•ืŸ ื“ืขืจ ืฉืคึผืจืึทืš ืึทื–ื•ื™ ืึทื– ืขืก ืงืขื ืขืŸ ืึทื ื˜ื•ื•ื™ืงืœืขืŸ ืื•ืŸ ืงืึธ-ื™ื•ื•ืึทืœื•ื•.

ืคืึทืจืฉื™ื“ืŸ ืงืึทืžืคึผื™ื•ื˜ื™ื™ืฉืึทื ืึทืœ ืคึผืจืึทืกืขืกืึทื– ืคืึทืœืŸ ืื™ืŸ ื“ื™ ื™ืžืคึผืœืึทืžืขื ื˜ื™ื™ืฉืึทืŸ ืกื˜ืจื•ืงื˜ื•ืจ ืคื•ืŸ ื™ืขื“ืขืจ ืคื•ื ืงืฆื™ืข. ืขืก ื–ืึธืœ ื–ื™ื™ืŸ ืื ื’ืขื•ื•ื™ื–ืŸ ื“ืึธ ืึทื– ืขืก ืื™ื– ื ื™ื™ื˜ื™ืง ืึทื– ื“ื™ ืคื•ื ืงืฆื™ืข ื”ืื˜ ืึท ืงืœืึธืจ ืื•ืŸ ืžื•ื ื“ื™ืจ ืื•ื™ืกื–ืขืŸ ืื•ืŸ ื•ื•ื™ื–ืฉืึทื•ื•ืึทืœ ืจื™ื“ืึทื‘ื™ืœื™ื˜ื™ ืคึฟืึทืจ ื“ื™ ื‘ืึทื ื™ืฆืขืจ. ืื™ืŸ ื“ืขื ืงืึธื ื˜ืขืงืกื˜, ื“ื™ ื’ืขื‘ื•ื™ื˜-ืื™ืŸ ืคืึทื ื’ืงืฉืึทื ื– ืคื•ืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš ื–ืขื ืขืŸ ื“ืขืจืœืื ื’ื˜ ืžื™ื˜ ืžืขืจ ื•ื•ื™ 6000 ืกืึทืงื•ื•ืขื ื˜ืฉืึทืœ ื‘ื™ื™ืฉืคื™ืœืŸ ืคื•ืŸ ื•ื•ื™ ืฆื• ืคึผืจืึธื’ืจืึทื ืคืึทื ื’ืงืฉืึทื ื– ืจืขื›ื˜ (ื“ืึธืก ื–ืขื ืขืŸ ืื•ื ื“ื–ืขืจ ืœืขื‘ืŸ ืคึผืจืึธื’ืจืึทืžืžื™ื ื’ ื•ื•ื™ื“ื™ืืกื•ื•ืึธืก ืึทืจื™ื™ึทื ื ืขืžืขืŸ ื”ื•ื ื“ืขืจื˜ืขืจ ืคื•ืŸ ืฉืขื” ืคื•ืŸ ืคึผืจืึธืฆืขืก ืคื•ืŸ ืงืจื™ื™ื™ื˜ื™ื ื’ ื ืึธืจืžืึทืœ ืžื’ื™ืœื”). ื•ื•ืึธืก ื“ืขืจ ืฆื•ื’ืึทื ื’ ืœืขืกืึธืฃ ืžืื›ื˜ ื“ื™ Wolfram ืฉื˜ืจื™ืš ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ื˜ื•ื™ื’ืขื•ื•ื“ื™ืง ืฆื• ื“ื•ืจื›ืคื™ืจืŸ ื’ืขื–ื•ื ื˜ ืื™ื– ื“ื™ ืกื˜ืจืึทืงื˜ืฉืขืจืึทืœ ื ืึทื˜ื•ืจ ืคื•ืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš, ืžื™ื˜ ื–ื™ื™ืŸ ื’ืจื•ื™ืก ื ื•ืžืขืจ ืคื•ืŸ ื ืึธืš ืื•ืŸ ื•ื•ืขืจื™ื“ ืœื™ื™ื‘ืจืขืจื™ื– ื•ื•ืึธืก ื–ืขื ืขืŸ ืฉื•ื™ืŸ ื’ืขื‘ื•ื™ื˜ ืื™ืŸ ื“ืขืจ ืฉืคึผืจืึทืš. ืคึฟืึทืจ ื‘ื™ื™ึทืฉืคึผื™ืœ, ืื•ื™ื‘ ืื™ืจ ื”ืึธื‘ืŸ ืึท ืคื•ื ืงืฆื™ืข ื•ื•ืึธืก ืคึผืจืึทืกืขืกืึทื– ื‘ื™ืœื“ืขืจ, ืึธื“ืขืจ ืฉื™ื˜ืขืจืข ืขืจื™ื™ื–ืŸืึธื“ืขืจ ืžืึธืœืขืงื•ืœืึทืจ ืกื˜ืจืึทืงื˜ืฉืขืจื–ืื•ืŸ ื’ืขืึธื’ืจืึทืคึฟื™ืฉืข ื“ืึทื˜ืŸ ืึธื“ืขืจ ืขื˜ืœืขื›ืข ืื ื“ืขืจืข - ื–ื™ื™ืขืจ ืงืึธื ืกื™ืกื˜ืขื ื˜ ืกื™ืžื‘ืึธืœื™ืฉ ืคืึทืจื˜ืจืขื˜ื•ื ื’ ืื™ื– ืฉื•ื™ืŸ ืื™ืŸ ื“ืขืจ ืฉืคึผืจืึทืš, ืื•ืŸ ื“ืึทื ืง ืฆื• ื“ืขื, ื“ื™ื™ืŸ ืคึฟื•ื ืงืฆื™ืข ืื™ื– ื’ืœื™ื™ืš ืงืึทืžืคึผืึทื˜ืึทื‘ืึทืœ ืžื™ื˜ ืื ื“ืขืจืข ืคืึทื ื’ืงืฉืึทื ื– ืื™ืŸ ื“ืขืจ ืฉืคึผืจืึทืš.

ืงืจื™ื™ื™ื˜ื™ื ื’ ืึท ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ื•ื•ืึธืก ืึทืงื˜ืฉืึทื•ื•ืึทืœื™ ืึทืจื‘ืขื˜ ื’ืขื–ื•ื ื˜ ืื™ื– ืึท ื˜ืฉื™ืงืึทื•ื•ืข ืžืขื˜ืึท-ืคึผืจืึธื’ืจืึทืžืžื™ื ื’ ืึทืจื‘ืขื˜. ืคึฟืึทืจ ื‘ื™ื™ึทืฉืคึผื™ืœ, ืึท ื•ื™ื“ืขืคื“ื™ืง ืคื•ืŸ ืจื™ืกื˜ืจื™ืงืฉืึทื ื– ืื™ืŸ ื“ื™ ืคึผืจืึธื’ืจืึทื ื•ื•ืขื˜ ื ื™ืฉื˜ ืœืึธื–ืŸ ืฆื• ื‘ืึทืงื•ืžืขืŸ ื“ื™ ืคืืจืœืื ื’ื˜ ื™ื•ื ืึทืคืึทืงื™ื™ืฉืึทืŸ ืื•ืŸ ื•ื ื™ื•ื•ืขืจืกืึทืœื™ื˜ื™ ืคื•ืŸ ื“ื™ ืึทืœื’ืขืจื™ื“ืึทื. ืคึผื•ื ืงื˜ ื•ื•ื™ ืžื™ื˜ ืึท ื ื™ื˜ ื’ืขื ื•ื’ื™ืง ื ื•ืžืขืจ ืคื•ืŸ ืคืึทื ื’ืงืฉืึทื ืึทืœ ืจื™ืกื˜ืจื™ืงืฉืึทื ื–, ืื™ืจ ื•ื•ืขื˜ ื ื™ืฉื˜ ืงืขื ืขืŸ ืฆื• ื™ื ืกื˜ืจื•ืžืขื ื˜ ืึท ื’ืขื ื•ื’ ืจื™ื›ื˜ื™ืง ืกื™ืงื•ื•ืึทื ืก ืคื•ืŸ ืึทืœื’ืขืจื™ื“ืึทื ื“ื•ืจื›ืคื™ืจื•ื ื’. ืขื˜ืœืขื›ืข ืคืจื™ืขืจื“ื™ืงืข ื‘ื™ื™ืฉืคื™ืœืŸ ืคื•ืŸ ื™ืžืคึผืœืึทืžืขื ื™ื ื’ ืึท ืงืึธืžืคึผืจืึธืžื™ืก ืคื•ืŸ ื“ื™ ืึทืคึผืจืึธื•ื˜ืฉื™ื–, ื™ืžืคึผืœืึทืžืขื ืึทื“ ื“ื•ืจืš ืื•ื ื“ื–ืขืจ ืคื™ืจืžืข, ื’ืขืืจื‘ืขื˜ ื’ืึทื ืฅ ืกื˜ืึทื‘ื™ืœ - ื“ื™ ื–ืขื ืขืŸ: ืคึผืจืึธื™ืขืงื˜ ื˜ื•ื ื’ืกื˜ืึทืŸ ื“ืขืžืึทื ืกื˜ืจื™ื™ืฉืึทื ื–, ืœืึธื ื˜ืฉื˜ ืื™ืŸ 2007 ืื•ืŸ ืื™ืฆื˜ ืœื•ื™ืคื˜ ืึธื ืœื™ื™ืŸ ืึธื ืœื™ื™ืŸ ืžื™ื˜ ืื™ื‘ืขืจ 12000 ื‘ืึทื ื™ืฆืขืจ-ื™ื ื˜ืขืจืึทืงื˜ื™ื•ื• ื“ืขืžืึธืก. ืื™ืŸ Wolfram ื“ืึทื˜ืึทื‘ื™ื™ืก ืขืก ื–ืขื ืขืŸ ืžืขืจ ื•ื•ื™ 600 ืคืึทืจื˜ื™ืง ื“ืึทื˜ืึทื‘ื™ื™ืกื™ื– ื•ื•ืึธืก ืงืขื ืขืŸ ื–ื™ื™ืŸ ื’ืขื•ื•ื™ื™ื ื˜ ืื™ืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš, ืื•ืŸ ื•ื•ืึธืœืคืจืึทื ื ืขื•ืจืึทืœ ื ืขืฅ ืกื˜ืึธืจื™ื“ื–ืฉ ืื™ื– ืจื™ืคึผืœืขื ื™ืฉื˜ ืžื™ื˜ ื ื™ื™ึทืข ื ืขื•ืจืึทืœ ื ืขื˜ื•ื•ืึธืจืงืก ื›ึผืžืขื˜ ื™ืขื“ืขืจ ื•ื•ืึธืš (ืขืก ื–ืขื ืขืŸ ืฉื•ื™ืŸ 118 ืคื•ืŸ ื–ื™ื™ ืื™ืฆื˜) ืื•ืŸ ื–ื™ื™ ื–ืขื ืขืŸ ื’ืœื™ื™ืš ืงืึธื ื ืขืงื˜ืขื“ ื“ื•ืจืš ื“ื™ ืคื•ื ืงืฆื™ืข ื ืขื˜ืžืึธื“ืขืœ ืื™ืŸ ื“ื™ ื•ื•ืึธืœืคืจืึทื ืฉืคึผืจืึทืš.

ืึทืœืข ืคื•ืŸ โ€‹โ€‹ื“ื™ ืื•ื™ื‘ืŸ ื‘ื™ื™ืฉืคื™ืœืŸ ื”ืึธื‘ืŸ ืึท ืคื•ื ื“ืึทืžืขื ื˜ืึทืœ ืฉื˜ืจื™ืš - ื“ื™ ืึทื‘ื“ื–ืฉืขืงืฅ ืื•ืŸ ืคืึทื ื’ืงืฉืึทื ื– ื’ืขื–ืืžืœื˜ ืื™ืŸ ื“ื™ ืคึผืจื•ื™ืขืงื˜ ื”ืึธื‘ืŸ ืึท ื–ื™ื™ืขืจ ื”ื•ื™ืš ื’ืจืึทื“ ืคื•ืŸ ืกื˜ืจืึทืงื˜ืฉืขืจื™ื ื’ ืื•ืŸ ืคืึทืจืฉืคึผืจื™ื™ื˜ื•ื ื’ ืคื•ืŸ ืคึผืจืึทืกืขืกืึทื–. ืคื•ืŸ ืงื•ืจืก, ื“ื™ ื“ืขื˜ืึทืœ ืคื•ืŸ ื“ื™ ืกื˜ืจื•ืงื˜ื•ืจ ืคื•ืŸ ื•ื•ืึธืก ืื™ื– ืึท ื“ืขืžืึธ ืึธื“ืขืจ ืึท ื ืขื•ืจืึทืœ ื ืขืฅ ืึธื“ืขืจ ืขืคึผืขืก ืึทื ื“ืขืจืฉ ืงืขื ืขืŸ ื–ื™ื™ืŸ ื–ื™ื™ืขืจ ืึทื ื“ืขืจืฉ, ืึธื‘ืขืจ ื“ื™ ืคื•ื ื“ืึทืžืขื ื˜ืึทืœ ืกื˜ืจื•ืงื˜ื•ืจ ืคึฟืึทืจ ืงื™ื™ืŸ ืงืจืึทื ื˜ ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ืื™ื– ืฉื˜ืขื ื“ื™ืง ื“ืขืจ ื–ืขืœื‘ื™ืงืขืจ. ืึทื–ื•ื™ ื•ื•ืึธืก ืื™ื– ื“ื™ื™ืŸ ืžื™ื™ื ื•ื ื’, ืœื™ื‘ ื‘ืึทื ื™ืฆืขืจ, ื•ื•ืขื’ืŸ ืฉืึทืคึฟืŸ ืึทื–ืึท ืึท ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ื•ื•ืึธืก ืœื™ื™ื’ื˜ ื™ืงืกื˜ืขื ืฉืึทื ื– ืฆื• ื“ื™ Wolfram ืฉืคึผืจืึทืš? ื“ื™ Wolfram ืฉืคึผืจืึทืš ืื™ื– ื“ื™ื–ื™ื™ื ื“ ืฆื• ื–ื™ื™ืŸ ื’ืึธืจ ืคืœืขืงืกืึทื‘ืึทืœ, ืึทื–ื•ื™ ืขืก ืงืขื ืขืŸ ื–ื™ื™ืŸ ืขืงืกื˜ืขื ื“ืขื“ ืื•ืŸ ืžืึทื“ืึทืคื™ื™ื“ ืื™ืŸ ืงื™ื™ืŸ ื•ื•ืขื’. ื“ืขืจ ืฆื•ืฉื˜ืื ื“ ืื™ื– ื’ืึธืจ ื•ื•ื™ื›ื˜ื™ืง ืคึฟืึทืจ ื“ื™ ืคื™ื™ื™ืงื™ื™ื˜ ืฆื• ื’ืขืฉื•ื•ื™ื ื“ ืฉืึทืคึฟืŸ ืคืึทืจืฉื™ื“ืŸ ื’ืจื•ื™ืก-ื•ื•ืึธื’ ื•ื•ื™ื™ื›ื•ื•ืืจื’ ืคึผืจืึทื“ื–ืฉืขืงืก ืื™ืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš. ืขืก ื–ืึธืœ ื–ื™ื™ืŸ ืื ื’ืขื•ื•ื™ื–ืŸ ื“ืึธ ืึทื– ื•ื•ื™ ื“ื™ ื‘ื™ื™ื’ื™ืงื™ื™ื˜ ืคื•ืŸ ื“ืขืจ ืฉืคึผืจืึทืš ื™ื ืงืจื™ืกื™ื–, ื“ื™ ืคึผืจื™ื™ึทื– ืคื•ืŸ ืคึผืจืึทื“ื–ืฉืขืงืก ื™ืžืคึผืœืึทืžืขื ืึทื“ ืื™ืŸ ืึทื–ืึท ืึท ืฉืคึผืจืึทืš ื•ื•ืขื˜ ื™ื ืขื•ื•ืึทื˜ืึทื‘ืœื™ ืคืึทืจื’ืจืขืกืขืจืŸ. ื“ืึธืก ืื™ื– ืจืขื›ื˜ ืฆื• ื“ืขื ืคืึทืงื˜ ืึทื– ื•ื•ื™ ืžืขืจ ื“ืขืจ ื‘ืึทื ื™ืฆืขืจ ื ื™ืฆื˜ ืึทื–ืึท ืึท ืฉืคึผืจืึทืš, ื“ื™ ืžืขืจ ื“ืขื“ืึทืงื™ื™ื˜ืึทื“ ืคืึทื ื’ืงืฉืึทื ืึทืœื™ื˜ื™ ืขืจ ื‘ืืงื•ืžื˜, ืึธื‘ืขืจ ืžื™ืจ ื–ืึธืœ ื ื™ืฉื˜ ืคืึทืจื’ืขืกืŸ ืึทื– ื“ืขืจ ืฆื•ื’ืึทื ื’ ืงืขืŸ ืื•ื™ืš ื”ืึธื‘ืŸ ื ืขื’ืึทื˜ื™ื•ื• ื–ื™ื™ื˜ืŸ ืื™ืŸ ื˜ืขืจืžื™ื ืขืŸ ืคื•ืŸ ื“ื™ ื™ื ืึทื‘ื™ืœื™ื˜ื™ ืฆื• ืขื ืฉื•ืจ ืงืึธื ืกื™ืกื˜ืขื ื˜ ืงืึธื ืกื™ืกื˜ืขื ืกื™ ืคื•ืŸ ืคึผืจืึธื’ืจืึทื ืžืึทื“ื–ืฉื•ืœื–.

ืขืก ืื™ื– ืึท ืคึผืจืึธืกื˜ ืคึผืจืึธื‘ืœืขื ืžื™ื˜ ืœื™ื™ื‘ืจืขืจื™ื– ืื™ืŸ ื‘ืขืงืึทื‘ืึธืœืขื“ื™ืง ืคึผืจืึธื’ืจืึทืžืžื™ื ื’ ืฉืคืจืึทื›ืŸ - ืื•ื™ื‘ ืื™ืจ ื ื•ืฆืŸ ืื™ื™ืŸ ื‘ื™ื‘ืœื™ืึธื˜ืขืง, ืœืžืฉืœ, ื“ืขืจ ืงืึธื“ ื•ื•ืขื˜ ืึทืจื‘ืขื˜ืŸ ืจื™ื›ื˜ื™ืง, ืึธื‘ืขืจ ืื•ื™ื‘ ืื™ืจ ืคึผืจื•ื‘ื™ืจืŸ ืฆื• ื ื•ืฆืŸ ืงื™ื™ืคืœ ืœื™ื™ื‘ืจืขืจื™ื–, ืขืก ืื™ื– ืงื™ื™ืŸ ื’ืึทืจืึทื ื˜ื™ืจืŸ ืึทื– ื–ื™ื™ ื•ื•ืขืœืŸ ื™ื ื˜ืขืจืึทืงื˜ ืจื™ื›ื˜ื™ืง ืžื™ื˜ ื™ืขื“ืขืจ ืื ื“ืขืจืขืจ. . ืื•ื™ืš, ืื™ืŸ ื˜ืจืื“ื™ืฆื™ืื ืขืœืŸ ืคึผืจืึธื’ืจืึทืžืžื™ื ื’ ืฉืคึผืจืึทื›ืŸ - ื ื™ื˜ ืขื ืœืขืš ืึท ืคื•ืœ-ืคืœืขื“ื–ืฉื“ ืงืึทืžืคึผื™ื•ื˜ื™ื ื’ ืฉืคึผืจืึทืš - ืขืก ืื™ื– ืงื™ื™ืŸ ื•ื•ืขื’ ืฆื• ื’ืึทืจืึทื ื˜ื™ืจืŸ ื“ื™ ื‘ื™ื™ึทื–ื™ื™ึทืŸ ืคื•ืŸ ืงืึธื ืกื™ืกื˜ืขื ื˜ ื’ืขื‘ื•ื™ื˜-ืื™ืŸ ืจืขืคึผืจืึทื–ืึทื ื˜ื™ื™ืฉืึทื ื– ืคึฟืึทืจ ืงื™ื™ืŸ ืคืึทื ื’ืงืฉืึทื ื– ืึธื“ืขืจ ื“ืึทื˜ืŸ ื˜ื™ื™ืคึผืก ืื ื“ืขืจืข ื•ื•ื™ ื–ื™ื™ืขืจ ื™ืงืขืจื“ื™ืง ืกื˜ืจืึทืงื˜ืฉืขืจื–. ืึธื‘ืขืจ, ืื™ืŸ ืคืึทืงื˜, ื“ื™ ืคึผืจืึธื‘ืœืขื ืื™ื– ืืคื™ืœื• ื’ืจืขืกืขืจืข ื•ื•ื™ ืขืก ืžื™ื™ื ื˜ ื‘ื™ื™ึท ืขืจืฉื˜ืขืจ ื‘ืœื™ืง: ืื•ื™ื‘ ืžืขืŸ ื‘ื•ื™ืขืŸ ืึท ื’ืจื•ื™ืก-ื•ื•ืึธื’ ื•ื•ืขืจื˜ื™ืงืึทืœ ืคื•ืŸ ืคืึทื ื’ืงืฉืึทื ืึทืœื™ื˜ื™, ืึธืŸ ื“ื™ ืจื™ื–ื™ืง ืงืึธืก ืคื•ืŸ ืกืขื ื˜ืจืึทืœื™ื™ื–ื“ ืคึผืจื•ื™ืขืงื˜ ืคึผืจืึธื’ืจืึทืžืžื™ื ื’ ื•ื•ืึธืก ืžื™ืจ ืฉื˜ืขืœืŸ ืื™ืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš, ืขืก ืื™ื– ืื•ืžืžืขื’ืœืขืš ืฆื• ื“ืขืจื’ืจื™ื™ื›ืŸ ืงืึธื ืกื™ืกื˜ืขื ืกื™. ืขืก ืื™ื– ื“ืขืจื™ื‘ืขืจ ื•ื•ื™ื›ื˜ื™ืง ืึทื– ืึทืœืข ื•ื•ื™ื™ื›ื•ื•ืืจื’ ืžืึทื“ื–ืฉื•ืœื– ืฉื˜ืขื ื“ื™ืง ืึทืจื‘ืขื˜ ืฆื•ื–ืึทืžืขืŸ ืจื™ื›ื˜ื™ืง.

ื“ืขืจ ื’ืขื“ืึทื ืง ื”ื™ื ื˜ืขืจ ื“ื™ Wolfram ืฉื˜ืจื™ืš ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ืื™ื– ืฆื• ื•ื™ืกืžื™ื™ื“ืŸ ื“ืขื ืคึผืจืึธื‘ืœืขื ืึทื•ื˜ืœื™ื™ื ื“ ืื•ื™ื‘ืŸ ื“ื•ืจืš ืคืฉื•ื˜ ืึทื“ื™ื ื’ ื™ืงืกื˜ืขื ืฉืึทื ื– ืฆื• ื“ื™ ืฉืคึผืจืึทืš ืื™ืŸ ืœืขืคื™ืขืจืขืš ืงืœื™ื™ืŸ ื‘ืจืขืงืœืขืš ืคื•ืŸ ืงืึธื“ ื“ื•ืจืš ื™ื—ื™ื“ ืคึฟืขื™ึดืงื™ื™ื˜ืŸ ื•ื•ืึธืก ื–ืขื ืขืŸ ื’ืจื™ื ื’ืขืจ ืฆื• ืึทื ื˜ื•ื•ื™ืงืœืขืŸ ื•ื•ื™ ืงืึธื•ื›ื™ืจืึทื ื˜ ืžืึทื“ื–ืฉื•ืœื–. ื“ืึธืก ืื™ื– ื’ืขื–ืึธื’ื˜, ืขืก ื–ืขื ืขืŸ ืคึผืจืึธื’ืจืึทืžืžื™ื ื’ ืคึฟืขื™ึดืงื™ื™ื˜ืŸ ื•ื•ืึธืก ืงืขื ืขืŸ ื ื™ื˜ ื–ื™ื™ืŸ ื‘ืึทืงื•ื•ืขื ืžื™ื˜ ื™ื—ื™ื“ ืคืึทื ื’ืงืฉืึทื ื– (ืื•ืŸ ืื•ื ื“ื–ืขืจ ืคื™ืจืžืข ืื™ื– ืคึผืœืึทื ื™ืจื•ื ื’ ืฆื• ืžืขืœื“ื•ื ื’ ืึท ืึธืคึผื˜ื™ืžื™ื–ืขื“ ืคึผืจืึธื’ืจืึทืžืžื™ื ื’ ืึทืœื’ืขืจื™ื“ืึทื ืื™ืŸ ื“ืขื ืœืขื‘ืŸ ืฆื•ืงื•ื ืคึฟื˜ ืฆื• ื”ืขืœืคืŸ ื™ื ืกื˜ืจื•ืžืขื ื˜ ื’ืจื•ื™ืก-ื•ื•ืึธื’ ื•ื•ื™ื™ื›ื•ื•ืืจื’ ืคึผืึทืงืึทื“ื–ืฉืึทื–). ืึธื‘ืขืจ, ื‘ืื–ื™ืจื˜ ืื•ื™ืฃ ื“ื™ ืคืึทื ื’ืงืฉืึทื ื– ืฉื•ื™ืŸ ื’ืขื‘ื•ื™ื˜ ืื™ืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš, ืขืก ื–ืขื ืขืŸ ืคื™ืœืข ืคึผืจืึธื’ืจืึทืžืžื™ื ื’ ืคึผืึทืกืึทื‘ื™ืœืึทื˜ื™ื– ื•ื•ืึธืก ื–ืขื ืขืŸ ื™ืžืคึผืœืึทืžืขื ืึทื“ ื‘ืื–ื™ืจื˜ ืื•ื™ืฃ ื™ื—ื™ื“ ืคืึทื ื’ืงืฉืึทื ื–. ื“ืขืจ ื’ืขื“ืึทื ืง ื“ืึธ ืื™ื– ืึทื– ืžื™ื˜ ืœืขืคื™ืขืจืขืš ืงืœื™ื™ืŸ ืคึผืจืึธื’ืจืึทืžืžื™ื ื’ ืžื™ ืื™ื– ืžืขื’ืœืขืš ืฆื• ืฉืึทืคึฟืŸ ืึท ื ื•ืžืขืจ ืคื•ืŸ ื ื™ื™ึทืข ืื•ืŸ ื–ื™ื™ืขืจ ื ื•ืฆื™ืง ืคืึทื ื’ืงืฉืึทื ื– ื•ื•ืึธืก ื•ื•ืขื˜ ืฆื•ืฉื˜ืขืœืŸ ื’ืขื ื•ื’ ืงืึธื•ื›ื™ืจืึทื ืก ืฆื• ื“ื™ ืคึผืœืึทืŸ, ื–ื™ื™ ื•ื•ืขืœืŸ ื–ื™ื™ืŸ ื’ื•ื˜ ืงืึธื•ืึธืจื“ืึทื ื™ื™ื˜ื™ื“ ืžื™ื˜ ื™ืขื“ืขืจ ืื ื“ืขืจืข, ืื•ืŸ ืื•ื™ืš, ืื™ืŸ ืึทื“ื™ืฉืึทืŸ ืฆื• ื“ืขื, ื–ื™ื™ ื•ื•ืขื˜ ืงืขื ืขืŸ ืฆื• ืœื™ื™ื›ื˜ ืื•ืŸ ื•ื•ื™ื™ื“ืœื™ ื’ืขื ื™ืฆื˜ ืื™ืŸ ื“ืขืจ ืฉืคึผืจืึทืš ืื™ืŸ ื“ืขืจ ืฆื•ืงื•ื ืคึฟื˜.

ื“ืขืจ ืฆื•ื’ืึทื ื’ ืื™ื–, ืคื•ืŸ ืงื•ืจืก, ืึท ืงืึธืžืคึผืจืึธืžื™ืก. ืื•ื™ื‘ ืึท ื’ืจืขืกืขืจืข ืคึผืขืงืœ ืื™ื– ื™ืžืคึผืœืึทืžืขื ืึทื“, ืึท ื’ืึทื ืฅ ื ื™ื™ึท ื•ื•ืขืœื˜ ืคื•ืŸ ืคืึทื ื’ืงืฉืึทื ืึทืœื™ื˜ื™ ืงืขืŸ ื–ื™ื™ืŸ ื™ืžืึทื“ื–ืฉืึทื ื“ ื•ื•ืึธืก ื•ื•ืึธืœื˜ ื–ื™ื™ืŸ ื’ืึธืจ ืฉื˜ืึทืจืง ืื•ืŸ ื ื•ืฆื™ืง. ืื•ื™ื‘ ืขืก ืื™ื– ืึท ื ื•ื™ื˜ ืฆื• ื‘ืึทืงื•ืžืขืŸ ื ื™ื™ึท ืคืึทื ื’ืงืฉืึทื ืึทืœื™ื˜ื™ ื•ื•ืึธืก ื•ื•ืขื˜ ืคึผืึทืกื™ืง ืื™ืŸ ืึทืœืฅ ืึทื ื“ืขืจืฉ, ืึธื‘ืขืจ ืื™ืจ ื–ืขื ื˜ ื ื™ืฉื˜ ื’ืจื™ื™ื˜ ืฆื• ืคืึทืจื‘ืจืขื ื’ืขืŸ ืึท ืคึผืœืึทืฅ ืคื•ืŸ ืžื™ ืฆื• ืึทื ื˜ื•ื•ื™ืงืœืขืŸ ื“ื™ ืคึผืจื•ื™ืขืงื˜, ื“ืึธืก, ืœื™ื™ื“ืขืจ, ืงืขืŸ ืคื™ืจืŸ ืฆื• ืึท ืจืขื“ื•ืงืฆื™ืข ืื™ืŸ ื“ื™ ืคืึทืจื ืขื ืคื•ืŸ ื“ื™ื™ืŸ ืคึผืจื•ื™ืขืงื˜. ื“ืขืจ ื’ืขื“ืึทื ืง ื”ื™ื ื˜ืขืจ ื“ื™ Wolfram ืฉื˜ืจื™ืš ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ืื™ื– ืฆื• ืฆื•ืฉื˜ืขืœืŸ ืคืึทื ื’ืงืฉืึทื ืึทืœื™ื˜ื™ ืฆื• ืึท ื“ื™ืคื™ื™ื ื™ื ื’ ื˜ื™ื™ืœ ืคื•ืŸ ืึท ืคึผืจื•ื™ืขืงื˜; ื“ืขืจ ืฆื•ื’ืึทื ื’ ื•ื•ืขื˜ ืœื™ื™ื’ืŸ ืฉื˜ืึทืจืง ืคืึทื ื’ืงืฉืึทื ืึทืœื™ื˜ื™ ืื•ืŸ ืžืึทื›ืŸ ืขืก ื’ืจื™ื ื’ืขืจ ืฆื• ื”ืึทืœื˜ืŸ ื’ื•ื˜ ืงืึธื ืกื™ืกื˜ืขื ืกื™ ืื™ืŸ ืึท ืคึผืจืึธื’ืจืึทืžืžื™ื ื’ ืคึผืจื•ื™ืขืงื˜.

ื”ื™ืœืฃ ืฆื• ืœื™ื™ื’ืŸ ืžื ื”ื’ ืคืึทื ื’ืงืฉืึทื ื– ืฆื• ื“ื™ ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™

ืื•ื ื“ื–ืขืจ ืžืึทื ืฉืึทืคึฟื˜ ื”ืื˜ ื’ืขืืจื‘ืขื˜ ืฉื•ื•ืขืจ ืฆื• ืžืึทื›ืŸ ืขืก ื’ืจื™ื ื’ ืคึฟืึทืจ ื™ื•ื–ืขืจื– ืฆื• ื‘ื™ื™ืฉื˜ื™ื™ืขืจืŸ ืฆื• ื“ื™ Wolfram ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ืคึฟืขื™ึดืงื™ื™ื˜ืŸ. ืื•ื™ืฃ ื“ื™ ื“ืขืกืงื˜ืึทืคึผ (ืฉื•ื™ืŸ ืื™ืŸ ื•ื•ืขืจืกื™ืข 12.0), ืื™ืจ ืงืขื ืขืŸ ืคืฉื•ื˜ ื’ื™ื™ืŸ ื“ื•ืจืš ื“ื™ ื”ื•ื™ืคึผื˜ ืžืขื ื™ื• ื˜ืึทื‘ืก ืกืึทืงื•ื•ืขื ื˜ืฉืึทืœื™: ื˜ืขืงืข > ื ื™ื™ึท > ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ื™ื˜ืขื > ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ื ื•ืžืขืจ ืื•ืŸ ืื™ืจ ื•ื•ืขื˜ ื‘ืึทืงื•ืžืขืŸ "ื“ืขืคึฟื™ื ื™ืฆื™ืข ื ืึธื•ื˜ื‘ื•ืง" (ืคึผืจืึธื’ืจืึทืžืžืึทื˜ื™ืงืึทืœืœื™ ื™ืŸ ื“ืขืจ ื•ื•ืึธืจืงื‘ืขื ื˜ืฉ. ืื™ืจ ืงืขื ืขืŸ ืื•ื™ืš ื ื•ืฆืŸ ื“ื™ ืึทื ืึทืœืึธื’ ืคื•ื ืงืฆื™ืข - ืฉืึทืคึฟืŸ ื ืึธื•ื˜ื‘ื•ืง["ืคื•ื ืงืฆื™ืข ืจืขืกืึธื•ืจืกืข"]):

Wolfram Function Repository: ืขืคึฟืŸ ืึทืงืกืขืก ืคึผืœืึทื˜ืคืึธืจืžืข ืคึฟืึทืจ Wolfram ืฉืคึผืจืึทืš ื™ืงืกื˜ืขื ืฉืึทื ื–

ืขืก ื–ืขื ืขืŸ ืฆื•ื•ื™ื™ ื”ื•ื™ืคึผื˜ ืกื˜ืขืคึผืก ืื™ืจ ื•ื•ืขื˜ ื“ืึทืจืคึฟืŸ ืฆื• ื“ื•ืจื›ืคื™ืจืŸ: ืขืจืฉื˜ืขืจ, ืึทืงื˜ืฉืึทื•ื•ืึทืœื™ ืฉืจื™ื™ึทื‘ืŸ ื“ื™ ืงืึธื“ ืคึฟืึทืจ ื“ื™ื™ืŸ ืคื•ื ืงืฆื™ืข ืื•ืŸ, ืฆื•ื•ื™ื™ื˜ื ืก, ืฉืจื™ื™ึทื‘ืŸ ื“ืึทืงื™ื•ืžืขื ื˜ื™ื™ืฉืึทืŸ ื•ื•ืึธืก ืื™ืœื•ืกื˜ืจื™ืจื˜ ื•ื•ื™ ื“ื™ื™ืŸ ืคื•ื ืงืฆื™ืข ื–ืึธืœ ืึทืจื‘ืขื˜ืŸ.
ื“ืจื™ืงื˜ ื“ืขื "ืขืคึฟืŸ ืžื•ืกื˜ืขืจ" ืงื ืขืคึผืœ ืื™ืŸ ื“ื™ ืฉืคึผื™ืฅ ืฆื• ื–ืขืŸ ืึท ื‘ื™ื™ึทืฉืคึผื™ืœ ืคื•ืŸ ื•ื•ืึธืก ืื™ืจ ื“ืึทืจืคึฟืŸ ืฆื• ื˜ืึธืŸ:

Wolfram Function Repository: ืขืคึฟืŸ ืึทืงืกืขืก ืคึผืœืึทื˜ืคืึธืจืžืข ืคึฟืึทืจ Wolfram ืฉืคึผืจืึทืš ื™ืงืกื˜ืขื ืฉืึทื ื–

ื™ืกืขื ืฉืึทืœื™, ืื™ืจ ื–ืขื ื˜ ื˜ืจื™ื™ื ื’ ืฆื• ืฉืึทืคึฟืŸ ืขืคึผืขืก ืขื ืœืขืš ืฆื• ืึท ื’ืขื‘ื•ื™ื˜-ืื™ืŸ ืคื•ื ืงืฆื™ืข ืื™ืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš. ื—ื•ืฅ ืึทื– ืขืก ืงืขื ืขืŸ ื˜ืึธืŸ ืขืคึผืขืก ืคื™ืœ ืžืขืจ ืกืคึผืขืฆื™ืคื™ืฉ ื•ื•ื™ ืึท ื’ืขื‘ื•ื™ื˜-ืื™ืŸ ืคึฟื•ื ืงืฆื™ืข. ืื™ืŸ ื“ืขืจ ื–ืขืœื‘ื™ืงืขืจ ืฆื™ื™ื˜, ื“ื™ ืขืงืกืคึผืขืงื˜ื™ื™ืฉืึทื ื– ื•ื•ืขื’ืŸ ื–ื™ื™ึทืŸ ืงืึทืžืคึผืœื™ื˜ื ืึทืก ืื•ืŸ ืจื™ืœื™ื™ืึทื‘ื™ืœืึทื˜ื™ ื•ื•ืขื˜ ื–ื™ื™ืŸ ืคื™ืœ ื ื™ื“ืขืจื™ืงืขืจ.
ืื™ืจ ื“ืึทืจืคึฟืŸ ืฆื• ื’ืขื‘ืŸ ื“ื™ื™ืŸ ืคึฟื•ื ืงืฆื™ืข ืึท ื ืึธืžืขืŸ ื•ื•ืึธืก ื’ื™ื™ื˜ ืœื•ื™ื˜ ื“ื™ ืคื•ื ืงืฆื™ืข ื ืึทืžื™ื ื’ ื’ื™ื™ื“ืœื™ื™ื ื– ืคื•ืŸ Wolfram ืฉืคึผืจืึทืš. ืื™ืŸ ืึทื“ื™ืฉืึทืŸ, ืื™ืจ ื•ื•ืขื˜ ื“ืึทืจืคึฟืŸ ืฆื• ืึทื ื˜ื•ื•ื™ืงืœืขืŸ ื“ืึทืงื™ื•ืžืขื ื˜ื™ื™ืฉืึทืŸ ืคึฟืึทืจ ื“ื™ื™ืŸ ืคื•ื ืงืฆื™ืข, ืขื ืœืขืš ืฆื• ื“ื™ ื’ืขื‘ื•ื™ื˜-ืื™ืŸ ืคืึทื ื’ืงืฉืึทื ื– ืคื•ืŸ ื“ืขืจ ืฉืคึผืจืึทืš. ืื™ืš ื•ื•ืขืœ ืจืขื“ืŸ ื•ื•ืขื’ืŸ ื“ืขื ืื™ืŸ ืžืขืจ ื“ืขื˜ืึทืœ ืฉืคึผืขื˜ืขืจ. ืคึฟืึทืจ ืื™ืฆื˜, ื ืึธืจ ื‘ืึทืžืขืจืงืŸ ืึทื– ืื™ืŸ ื“ื™ ืจื•ื“ืขืจืŸ ืคื•ืŸ ืงื ืขืคึผืœืขืš ืื™ืŸ ื“ื™ ืฉืคึผื™ืฅ ืคื•ืŸ ื“ื™ ื“ืขืคึฟื™ื ื™ืฆื™ืข ื”ืขืคื˜ ื˜ืขืงืข ืขืก ืื™ื– ืึท ืงื ืขืคึผืœ "ืกื˜ื™ื™ืœ ื’ื™ื™ื“ืœื™ื™ื ื–", ื•ื•ืึธืก ื“ืขืจืงืœืขืจื˜ ื•ื•ืึธืก ืฆื• ื˜ืึธืŸ, ืื•ืŸ ืึท ืžื›ืฉื™ืจื™ื ืงื ืขืคึผืœ, ื•ื•ืึธืก ื’ื™ื˜ ืžื›ืฉื™ืจื™ื ืคึฟืึทืจ ืคืึธืจืžืึทื˜ื˜ื™ื ื’ ื“ื™ ื“ืึทืงื™ื•ืžืขื ื˜ื™ื™ืฉืึทืŸ ืคื•ืŸ ื“ื™ื™ืŸ ืคึฟื•ื ืงืฆื™ืข.
ื•ื•ืขืŸ ืื™ืจ ื–ืขื ื˜ ื–ื™ื›ืขืจ ืึทื– ืึทืœืฅ ืื™ื– ืึธื ื’ืขืคื™ืœื˜ ืจืขื›ื˜ ืื•ืŸ ืื™ืจ ื–ืขื ื˜ ื’ืจื™ื™ื˜, ื’ื™ื˜ ื“ื™ "ื˜ืฉืขืง" ืงื ืขืคึผืœ. ืขืก ืื™ื– ื’ืึธืจ ื ืึธืจืžืึทืœ ืึทื– ืื™ืจ ื”ืึธื˜ ื ื™ืฉื˜ ืคื™ื’ื™ืขืจื“ ื ืึธืš ืึทืœืข ื“ื™ ืคืจื˜ื™ื. ืึทื–ื•ื™ ื“ื™ "ื˜ืฉืขืง" ืคึฟื•ื ืงืฆื™ืข ื•ื•ืขื˜ ืื•ื™ื˜ืึธืžืึทื˜ื™ืฉ ืœื•ื™ืคืŸ ืื•ืŸ ื˜ืึธืŸ ืึท ืคึผืœืึทืฅ ืคื•ืŸ ืกื˜ื™ืœ ืื•ืŸ ืงืึธื ืกื™ืกื˜ืขื ืกื™ ื˜ืฉืขืงืก. ืึธืคื˜, ืขืก ื•ื•ืขื˜ ืžื™ื“ ืคืจืขื’ืŸ ืื™ืจ ืฆื• ื‘ืึทืฉื˜ืขื˜ื™ืงืŸ ืื•ืŸ ืึธื ื ืขืžืขืŸ ื“ื™ ืงืขืจืขืงืฉืึทื ื– (ืœืžืฉืœ: "ื“ื™ ืฉื•ืจื” ืžื•ื–ืŸ ืขื ื“ื™ืงืŸ ืžื™ื˜ ืึท ืฆื•ื•ื™ื™ืคึผื™ื ื˜ืœ," ืื•ืŸ ืขืก ื•ื•ืขื˜ ืคืจืขื’ืŸ ืื™ืจ ืฆื• ืึทืจื™ื™ึทืŸ ืึท ืฆื•ื•ื™ื™ืคึผื™ื ื˜ืœ). ืžืืœ ื–ื™ ื•ื•ืขื˜ ืคืจืขื’ืŸ ืื™ืจ ืฆื• ืœื™ื™ื’ืŸ ืึธื“ืขืจ ื˜ื•ื™ืฉืŸ ืขืคึผืขืก ื–ื™ืš. ืžื™ืจ ื•ื•ืขืœืŸ ืงืขืกื™ื™ื“ืขืจ ืœื™ื™ื’ืŸ ื ื™ื™ึทืข ืคึฟืขื™ึดืงื™ื™ื˜ืŸ ืฆื• ื“ื™ ืึธื˜ืึทืžืึทื˜ื™ืง ืคืึทื ื’ืงืฉืึทื ืึทืœื™ื˜ื™ ืคื•ืŸ ื“ื™ ื˜ืฉืขืง ืงื ืขืคึผืœ, ืึธื‘ืขืจ ื‘ื™ื™ืกื™ืงืœื™, ื“ืขืจ ืฆื™ืœ ืื™ื– ืฆื• ืขื ืฉื•ืจ ืึทื– ืึทืœืฅ ืื™ืจ ืคืึธืจืœื™ื™ื’ืŸ ืฆื• ื“ื™ ืฉื˜ืจื™ืš ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ืฉื•ื™ืŸ ืขื ื’ ื’ื™ื™ื˜ ื•ื•ื™ ืคื™ืœืข ืกื˜ื™ืœ ื’ื™ื™ื“ืœื™ื™ื ื– ื•ื•ื™ ืžืขื’ืœืขืš

Wolfram Function Repository: ืขืคึฟืŸ ืึทืงืกืขืก ืคึผืœืึทื˜ืคืึธืจืžืข ืคึฟืึทืจ Wolfram ืฉืคึผืจืึทืš ื™ืงืกื˜ืขื ืฉืึทื ื–

ืึทื–ื•ื™, ื ืึธืš ืคืœื™ืกื ื“ื™ืง "ื˜ืฉืขืง", ืื™ืจ ืงืขื ืขืŸ ื ื•ืฆืŸ "ืคึผืจื™ื•ื•ื™ื•". "ืคึผืจื™ื•ื•ื™ื•" ืงืจื™ื™ื™ืฅ ืึท ืคืึธืจื•ื™ืกื™ืงืข ื•ื•ื™ื™ึทื–ื•ื ื’ ืคื•ืŸ ื“ื™ ื“ืึทืงื™ื•ืžืขื ื˜ื™ื™ืฉืึทืŸ ื‘ืœืึทื˜ ืื™ืจ ื“ื™ืคื™ื™ื ื“ ืคึฟืึทืจ ื“ื™ื™ืŸ ืคื•ื ืงืฆื™ืข. ืื™ืจ ืงืขื ื˜ ืื•ื™ืš ืžืึทื›ืŸ ืึท ืคืึธืจื•ื™ืกื™ืงืข ื•ื•ื™ื™ึทื–ื•ื ื’ ืคึฟืึทืจ ืึท ื˜ืขืงืข ื‘ืืฉืืคืŸ ืื•ื™ืฃ ื“ื™ื™ืŸ ืงืึธืžืคึผื™ื•ื˜ืขืจ ืึธื“ืขืจ ืคึฟืึทืจ ืึท ื˜ืขืงืข ืื™ืŸ ื•ื•ืึธืœืงืŸ ืกื˜ืึธืจื™ื“ื–ืฉ. ืื•ื™ื‘, ืคึฟืึทืจ ืขื˜ืœืขื›ืข ืกื™ื‘ื”, ืื™ืจ ื–ืขื ื˜ ื ื™ืฉื˜ ืฆื•ืคึฟืจื™ื“ืŸ ืžื™ื˜ ื•ื•ืึธืก ืื™ืจ ื–ืขืŸ ืื™ืŸ ื“ื™ ืคืึธืจื•ื™ืกื™ืงืข ื•ื•ื™ื™ึทื–ื•ื ื’, ื ืึธืจ ื’ื™ื™ืŸ ืฆื•ืจื™ืง ืื•ืŸ ืžืึทื›ืŸ ื“ื™ ื ื™ื™ื˜ื™ืง ืงืขืจืขืงืฉืึทื ื–, ืื•ืŸ ื“ืขืžืึธืœื˜ ื’ื™ื˜ ื“ื™ ืคืึธืจื•ื™ืกื™ืงืข ื•ื•ื™ื™ึทื–ื•ื ื’ ืงื ืขืคึผืœ ื•ื•ื™ื“ืขืจ.
ืื™ืฆื˜ ืื™ืจ ื–ืขื ื˜ ื’ืจื™ื™ื˜ ืฆื• ืฉื˜ื•ืคึผืŸ ื“ื™ื™ืŸ ืคื•ื ืงืฆื™ืข ืื™ืŸ ื“ื™ ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™. ื“ื™ ื“ืขืคึผืœื•ื™ ืงื ืขืคึผืœ ื’ื™ื˜ ืื™ืจ ืคื™ืจ ืึธืคึผืฆื™ืขืก:

Wolfram Function Repository: ืขืคึฟืŸ ืึทืงืกืขืก ืคึผืœืึทื˜ืคืึธืจืžืข ืคึฟืึทืจ Wolfram ืฉืคึผืจืึทืš ื™ืงืกื˜ืขื ืฉืึทื ื–

ื“ื™ ื•ื•ื™ื›ื˜ื™ืง ื–ืึทืš ืื™ืŸ ื“ืขื ืฉืจื™ื˜ ืื™ื– ืึทื– ืื™ืจ ืงืขื ืขืŸ ืคืึธืจืœื™ื™ื’ืŸ ื“ื™ื™ืŸ ืคื•ื ืงืฆื™ืข ืฆื• ื“ื™ Wolfram ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ืึทื–ื•ื™ ืึทื– ืขืก ืื™ื– ื‘ืืจืขื›ื˜ื™ื’ื˜ ืคึฟืึทืจ ื•ื•ืขืจ ืขืก ื™ื–. ืื™ืŸ ื“ืขืจ ื–ืขืœื‘ื™ืงืขืจ ืฆื™ื™ื˜, ืื™ืจ ืงืขื ืขืŸ ืื•ื™ืš ืฉื˜ืขืœืŸ ื“ื™ื™ืŸ ืคื•ื ืงืฆื™ืข ืคึฟืึทืจ ืึท ืœื™ืžื™ื˜ืขื“ ื ื•ืžืขืจ ืคื•ืŸ ื™ื•ื–ืขืจื–. ืคึฟืึทืจ ื‘ื™ื™ึทืฉืคึผื™ืœ, ืื™ืจ ืงืขื ืขืŸ ืžืึทื›ืŸ ืึท ืคื•ื ืงืฆื™ืข ื•ื•ืึธืก ืื™ื– ื›ืึธื•ืกื˜ื™ื“ ืœืึธื•ืงืึทืœื™ ืื•ื™ืฃ ื“ื™ื™ืŸ ืงืึธืžืคึผื™ื•ื˜ืขืจ ืึทื–ื•ื™ ืึทื– ืขืก ืื™ื– ื‘ืืจืขื›ื˜ื™ื’ื˜ ื•ื•ืขืŸ ืื™ืจ ื ื•ืฆืŸ ื“ืขื ื‘ืึทื–ื•ื ื“ืขืจ ืงืึธืžืคึผื™ื•ื˜ืขืจ. ืึธื“ืขืจ ืื™ืจ ืงืขื ืขืŸ ืคึผืึธืกื˜ืŸ ืขืก ืื™ืŸ ื“ื™ื™ืŸ ื•ื•ืึธืœืงืŸ ื—ืฉื‘ื•ืŸ, ืึทื–ื•ื™ ืึทื– ืขืก ืื™ื– ื‘ืืจืขื›ื˜ื™ื’ื˜ ืฆื• ืื™ืจ ื•ื•ืขืŸ ืื™ืจ ื–ืขื ื˜ ืงืึธื ื ืขืงื˜ืขื“ ืฆื• ื“ื™ ื•ื•ืึธืœืงืŸ. ืื™ืจ ืงืขื ื˜ ืื•ื™ืš ื‘ืึทืœืขื‘ืึธืก (ืฆืขื•ื•ื™ืงืœืขืŸ) ื“ื™ ืฉื˜ืจื™ืš ื“ื•ืจืš ื“ื™ื™ืŸ ื•ื•ืึธืœืงืŸ ื—ืฉื‘ื•ืŸ. ืขืก ื•ื•ืขื˜ ื ื™ืฉื˜ ื–ื™ื™ืŸ ืื™ืŸ ื“ื™ ื”ื•ื™ืคื˜ Wolfram ืฉื˜ืจื™ืš ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™, ืึธื‘ืขืจ ืื™ืจ ื•ื•ืขื˜ ืงืขื ืขืŸ ืฆื• ื’ืขื‘ืŸ ืขืžืขืฆืขืจ ืึท URL ื•ื•ืึธืก ื•ื•ืขื˜ ืœืึธื–ืŸ ื–ื™ื™ ืฆื• ื‘ืึทืงื•ืžืขืŸ ื“ื™ื™ืŸ ืฉื˜ืจื™ืš ืคึฟื•ืŸ ื“ื™ื™ืŸ ื—ืฉื‘ื•ืŸ. (ืื™ืŸ ื“ืขืจ ืฆื•ืงื•ื ืคึฟื˜, ืžื™ืจ ื•ื•ืขืœืŸ ืื•ื™ืš ืฉื˜ื™ืฆืŸ ื”ื•ื™ืคื˜ ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ื– ืื™ื‘ืขืจ ืื•ื ื“ื–ืขืจ ืคื™ืจืžืข.)

ืึทื–ื•ื™ ืœืึธื–ืŸ ืก ื–ืึธื’ืŸ ืื™ืจ ื•ื•ื™ืœืŸ ืฆื• ืึทืงื˜ืฉืึทื•ื•ืึทืœื™ ืคืึธืจืœื™ื™ื’ืŸ ื“ื™ื™ืŸ ืคื•ื ืงืฆื™ืข ืฆื• ื“ื™ Wolfram ืคื•ื ืงืฆื™ืข ื•ื•ื™ืกืŸ ื‘ืึทื–ืข. ืฆื• ื˜ืึธืŸ ื“ืึธืก, ื’ื™ื˜ ื“ื™ "ืคืึธืจืœื™ื™ื’ืŸ" ืงื ืขืคึผืœ ืฆื• ื“ื™ ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™. ืึทื–ื•ื™ ื•ื•ืึธืก ืื™ื– ื’ืขืฉืขืขื ื™ืฉ ืื™ืŸ ื“ืขื ืžืึธืžืขื ื˜? ื“ื™ื™ืŸ ืึทืคึผืœืึทืงื™ื™ืฉืึทืŸ ืื™ื– ื’ืœื™ื™ืš ืื™ืŸ ื“ื™ ืจื™ื™ ืคึฟืึทืจ ืึธืคึผืฉืึทืฆื•ื ื’ ืื•ืŸ ื”ืึทืกืงืึธืžืข ื“ื•ืจืš ืื•ื ื“ื–ืขืจ ื“ืขื“ืึทืงื™ื™ื˜ืึทื“ ืžืึทื ืฉืึทืคึฟื˜ ืคื•ืŸ ืงื•ืจืึทื˜ืึธืจืก.

ื•ื•ืขืŸ ื“ื™ื™ืŸ ืึทืคึผืœืึทืงื™ื™ืฉืึทืŸ ืคึผืจืึธื’ืจืขืกื™ื– ื“ื•ืจืš ื“ื™ ื”ืึทืกืงืึธืžืข ืคึผืจืึธืฆืขืก (ื•ื•ืึธืก ื˜ื™ืคึผื™ืงืœื™ ื ืขืžื˜ ืขื˜ืœืขื›ืข ื˜ืขื’), ืื™ืจ ื•ื•ืขื˜ ื‘ืึทืงื•ืžืขืŸ ืงืึธืžื•ื ื™ืงืึทืฆื™ืข ื•ื•ืขื’ืŸ ื–ื™ื™ืŸ ืกื˜ืึทื˜ื•ืก ืื•ืŸ ืขืคืฉืขืจ ืคึฟื™ืจืœื™ื™ื’ืŸ ืคึฟืึทืจ ืฆื•ืงื•ื ืคึฟื˜ ื ื•ืฆืŸ. ืึธื‘ืขืจ ืึทืžืึธืœ ื“ื™ื™ืŸ ืฉื˜ืจื™ืš ืื™ื– ื‘ืื•ื•ื™ืœื™ืงื˜, ืขืก ื•ื•ืขื˜ ื–ื™ื™ืŸ ื’ืœื™ื™ืš ืืจื•ื™ืก ืฆื• ื“ื™ Wolfram Feature Repository ืื•ืŸ ื•ื•ืขื˜ ื–ื™ื™ืŸ ื‘ืืจืขื›ื˜ื™ื’ื˜ ืคึฟืึทืจ ื•ื•ืขืจ ืขืก ื™ื– ืฆื• ื ื•ืฆืŸ. (ืื•ืŸ ื“ืึธืก ื•ื•ืขื˜ ื“ืขืจืฉื™ื™ึทื ืขืŸ ืื™ืŸ ื ื™ื™ึทืขืก ื“ื™ื“ื–ืฉืึทืฅ ืคื•ืŸ ื ื™ื™ึทืข ืคึฟืขื™ึดืงื™ื™ื˜ืŸ ืืื–"ื• ื•)

ื•ื•ืึธืก ื–ืึธืœ ื–ื™ื™ืŸ ืื™ืŸ ื“ื™ ืกื˜ืึธืจื™ื“ื–ืฉ?

ืขืก ื–ืึธืœ ื–ื™ื™ืŸ ืื ื’ืขื•ื•ื™ื–ืŸ ืึทื– ืื•ื ื“ื–ืขืจ ืคื™ืจืžืข ื”ืื˜ ื–ื™ื™ืขืจ ื”ื•ื™ืš ืกื˜ืึทื ื“ืึทืจื“ืก ืคึฟืึทืจ ืงืึทืžืคึผืœื™ื˜ื ืึทืก, ืจื™ืœื™ื™ืึทื‘ื™ืœืึทื˜ื™ ืื•ืŸ ืงื•ื™ืœืขืœื“ื™ืง ืงื•ื•ืึทืœื™ื˜ืขื˜, ืื•ืŸ ืคื•ืŸ ื“ื™ 6000+ ืคืึทื ื’ืงืฉืึทื ื– ื•ื•ืึธืก ืžื™ืจ ื”ืึธื‘ืŸ ืฉื•ื™ืŸ ื’ืขื‘ื•ื™ื˜ ืื™ืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš ืื™ืŸ ื“ื™ ืœืขืฆื˜ืข 30+ ื™ืึธืจ, ืึทืœืข ื˜ืจืขืคืŸ ื“ื™ ืื•ื™ื‘ืŸ ืจืขืงื•ื•ื™ืจืขืžืขื ืฅ. ื“ืขืจ ืฆื™ืœ ืคื•ืŸ ื“ื™ Wolfram Function Repository ืื™ื– ืฆื• ื ื•ืฆืŸ ืึทืœืข ื“ื™ ืกื˜ืจื•ืงื˜ื•ืจ ืื•ืŸ ืคืึทื ื’ืงืฉืึทื ืึทืœื™ื˜ื™ ื•ื•ืึธืก ืฉื•ื™ืŸ ื™ื’ื–ื™ืกืฅ ืื™ืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš ืื™ืŸ ืกื“ืจ ืฆื• ืœื™ื™ื’ืŸ ื•ื•ื™ ืคื™ืœืข ืœื™ื™ื˜ืขืจ ืคืึทื ื’ืงืฉืึทื ื– (ื“"ื”, ื”ืขื›ืขืจ ืคืึธืจืฉื˜ืขืœื•ื ื’ ืคืึทื ื’ืงืฉืึทื ื–) ื•ื•ื™ ืžืขื’ืœืขืš.

ืคื•ืŸ ืงื•ืจืก, ืคืึทื ื’ืงืฉืึทื ื– ืื™ืŸ ื“ื™ Wolfram ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ืžื•ื–ืŸ ืงืึทื ืคืึธืจื ืฆื• ื“ื™ ืคึผืœืึทืŸ ืคึผืจื™ื ืกืึทืคึผืึทืœื– ืคื•ืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš - ืึทื–ื•ื™ ื–ื™ื™ ืงืขื ืขืŸ ื’ืึธืจ ื™ื ื˜ืขืจืึทืงื˜ ืžื™ื˜ ืื ื“ืขืจืข ืคืึทื ื’ืงืฉืึทื ื– ืื•ืŸ ื“ื™ ืขืงืกืคึผืขืงื˜ื™ื™ืฉืึทื ื– ืคื•ืŸ ื ื™ืฆืขืจืก ืคื•ืŸ ื•ื•ื™ ื“ื™ ืคื•ื ืงืฆื™ืข ื–ืึธืœ ืึทืจื‘ืขื˜ืŸ ืจืขื›ื˜. ืึธื‘ืขืจ, ื“ื™ ืคืึทื ื’ืงืฉืึทื ื– ื˜ืึธืŸ ื ื™ื˜ ื”ืึธื‘ืŸ ืฆื• ื–ื™ื™ืŸ ืคื•ืŸ ื’ืœื™ื™ึทืš ืงืึทืžืคึผืœื™ื˜ื ืึทืก ืึธื“ืขืจ ืจื™ืœื™ื™ืึทื‘ื™ืœืึทื˜ื™.

ืื™ืŸ ื“ื™ ื’ืขื‘ื•ื™ื˜-ืื™ืŸ ืคืึทื ื’ืงืฉืึทื ื– ืคื•ืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš, ืžื™ืจ ืึทืจื‘ืขื˜ืŸ ืฉื•ื•ืขืจ ืฆื• ืžืึทื›ืŸ ืคึผืจืึธื’ืจืึทืžืžื™ื ื’ ืคืึทื ื’ืงืฉืึทื ื– ื•ื•ื™ ืึทืœื’ืขืžื™ื™ืŸ ื•ื•ื™ ืžืขื’ืœืขืš. ื“ืึธืก ืื™ื– ื’ืขื–ืึธื’ื˜, ื•ื•ืขืŸ ืื™ืŸ ื“ื™ Wolfram ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ืขืก ืื™ื– ื’ืึธืจื ื™ืฉื˜ ืคืึทืœืฉ ืžื™ื˜ ืึท ืคื•ื ืงืฆื™ืข ืื™ืŸ ืขืก ื•ื•ืึธืก ืคืฉื•ื˜ ื›ืึทื ื“ืึทืœื– ืขื˜ืœืขื›ืข ื–ื™ื™ืขืจ ืกืคึผืขืฆื™ืคื™ืฉ ืึธื‘ืขืจ ื ื•ืฆื™ืง ืคืึทืœ. ืคึฟืึทืจ ื‘ื™ื™ึทืฉืคึผื™ืœ, ื“ื™ ืคึฟื•ื ืงืฆื™ืข SendMailFromNotebook ืงืขื ืขืŸ ื‘ืึทืงื•ืžืขืŸ ื˜ืขืงืขืก ืื™ืŸ ืื™ื™ืŸ ืกืคึผืขืฆื™ืคื™ืฉ ืคึฟืึธืจืžืึทื˜ ืื•ืŸ ืฉืึทืคึฟืŸ ืคึผืึธืกื˜ ืื™ืŸ ืื™ื™ืŸ ืกืคึผืขืฆื™ืคื™ืฉ ื•ื•ืขื’. ืคึผืึธืœื™ื’ืึธื ืึทืœ ื“ื™ืึทื’ืจืึทื ืงืจื™ื™ื™ืฅ ื˜ืฉืึทืจืฅ ืžื™ื˜ ื‘ืœื•ื™ื– ื–ื™ื›ืขืจ ืคืืจื‘ืŸ ืื•ืŸ ืœื™ื™ื‘ืœื™ื ื’, ืืื–"ื• ื•.

ืืŸ ืื ื“ืขืจ ืคื•ื ื˜ ืฉื™ื™ึทื›ื•ืช ืฆื• ื“ื™ ื’ืขื‘ื•ื™ื˜-ืื™ืŸ ืคืึทื ื’ืงืฉืึทื ื– ืื™ื– ืึทื– ืื•ื ื“ื–ืขืจ ืคื™ืจืžืข ืžืื›ื˜ ืึทืœืข ืžื™ ืฆื• ืฉืขืคึผืŸ ืึทืœืข ื™ื™ื˜ื™ืคึผื™ืงืึทืœ ืงืึทืกืขืก, ืฆื• ืจื™ื›ื˜ื™ืง ืฉืขืคึผืŸ ืคืึทืœืฉ ืึทืจื™ื™ึทื ืฉืจื™ื™ึทื‘, ืื•ืŸ ืึทื–ื•ื™ ืื•ื™ืฃ. ืื™ืŸ ืึท ืคึฟื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™, ืขืก ืื™ื– ื’ืึธืจ ื ืึธืจืžืึทืœ ืึทื– ืขืก ืื™ื– ืึท ืกืคึผืขืฆื™ืขืœ ืคึฟื•ื ืงืฆื™ืข ื•ื•ืึธืก ื›ืึทื ื“ืึทืœื– ื“ื™ ื”ื•ื™ืคึผื˜ ืงืึทืกืขืก ืคื•ืŸ ืกืึทืœื•ื•ื™ื ื’ ืึท ืคึผืจืึธื‘ืœืขื ืื•ืŸ ืื™ื’ื ืึธืจื™ืจืŸ ืึทืœืข ืื ื“ืขืจืข.

ื“ืขืจ ืงืœืึธืจ ื•ื•ื™ ื“ืขืจ ื˜ืึธื’ ืคื•ื ื˜ ืื™ื– ืึทื– ืขืก ืื™ื– ื‘ืขืกืขืจ ืฆื• ื”ืึธื‘ืŸ ืคืึทื ื’ืงืฉืึทื ื– ื•ื•ืึธืก ื˜ืึธืŸ ืžืขืจ ืื•ืŸ ื˜ืึธืŸ ื“ืึธืก ื‘ืขืกืขืจ, ืึธื‘ืขืจ ืึทืคึผื˜ืึทืžืึทื–ื™ื™ืฉืึทืŸ ืคึฟืึทืจ ืึท ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ - ื•ื•ื™ ืงืขื’ืŸ ืฆื• ื“ื™ ื’ืขื‘ื•ื™ื˜-ืื™ืŸ ืคืึทื ื’ืงืฉืึทื ื– ืคื•ืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš - ื–ืึธืœ ื”ืึธื‘ืŸ ืžืขืจ ืคืึทื ื’ืงืฉืึทื ื– ื‘ืึทื ื“ืึทืœื“ ืžื™ื˜ ืžืขืจ ืคืึทื ื’ืงืฉืึทื ื– ืืœื ื•ื•ื™ ื“ื™ืœื™ื ื’ ืื™ืŸ. ื“ื™ ื™ืžืคึผืœืึทืžืขื ื˜ื™ื™ืฉืึทืŸ ืคึผืจืึทืกืขืกืึทื– ืคื•ืŸ ื™ืขื“ืขืจ ืกืคึผืขืฆื™ืคื™ืฉ ืคึฟื•ื ืงืฆื™ืข.

ืื™ืฆื˜ ืœืึธืžื™ืจ ื–ืขืŸ ืึท ื‘ื™ื™ืฉืคึผื™ืœ ืคื•ืŸ ื˜ืขืกื˜ื™ื ื’ ืคืึทื ื’ืงืฉืึทื ื– ืื™ืŸ ืึท ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™. ืงืึธื ืกื™ืกื˜ืขื ืกื™ ืขืงืกืคึผืขืงื˜ื™ื™ืฉืึทื ื– ืคึฟืึทืจ ืึทื–ืึท ืคืึทื ื’ืงืฉืึทื ื– ื–ืขื ืขืŸ ื’ืขื•ื•ื™ื™ื ื˜ืœืขืš ืคื™ืœ ื ื™ื“ืขืจื™ืงืขืจ ื•ื•ื™ ืคึฟืึทืจ ื’ืขื‘ื•ื™ื˜-ืื™ืŸ ืฉืคึผืจืึทืš ืคืึทื ื’ืงืฉืึทื ื–. ื“ืึธืก ืื™ื– ืกืคึผืขืฆื™ืขืœ ืืžืช ืื™ืŸ ืงืึทืกืขืก ื•ื•ื• ืคืึทื ื’ืงืฉืึทื ื– ืึธืคืขื ื’ืขืŸ ืื•ื™ืฃ ืคื•ื ื“ืจื•ื™ืกื ื“ื™ืง ืจืขืกื•ืจืกืŸ ืึทื–ืึท ื•ื•ื™ ืึทืคึผื™ืก, ืขืก ืื™ื– ื•ื•ื™ื›ื˜ื™ืง ืฆื• ืงืขืกื™ื™ื“ืขืจ ื“ื•ืจื›ืคื™ืจืŸ ืงืึธื ืกื™ืกื˜ืขื ื˜ ื˜ืขืกืฅ, ื•ื•ืึธืก ืื•ื™ื˜ืึธืžืึทื˜ื™ืฉ ื›ืึทืคึผืึทื ื– ืื™ืŸ ื“ื™ ื•ื•ืขืจืึทืคืึทืงื™ื™ืฉืึทืŸ ืึทืœื’ืขืจื™ื“ืึทืžื–. ืื™ืŸ ื“ื™ nb ื˜ืขืงืข, ืื™ืจ ืงืขื ืขืŸ ื‘ืคื™ืจื•ืฉ ืกืคึผืขืฆื™ืคื™ืฆื™ืจืŸ ื–ื•ืš (ืื™ืŸ ื“ื™ ื ืึธืš ืื™ื ืคึฟืึธืจืžืึทืฆื™ืข ืึธืคึผื˜ื™ื™ืœื•ื ื’) ืื•ืŸ ืกืคึผืขืฆื™ืคื™ืฆื™ืจืŸ ื•ื•ื™ ืคื™ืœืข ื˜ืขืกืฅ ื•ื•ื™ ื“ื™ืคื™ื™ื ื“ ื“ื•ืจืš ืึทืจื™ื™ึทื ืฉืจื™ื™ึทื‘ ืื•ืŸ ืจืขื–ื•ืœื˜ืึทื˜ ืกื˜ืจื™ื ื’ืก ืึธื“ืขืจ ืคื•ืœ ื›ืึทืจืึทืงื˜ืขืจ ืึทื‘ื“ื–ืฉืขืงืฅ ืคื•ืŸ ื˜ื™ืคึผ. ื•ื•ืขืจื™ืคื™ืงืึทื˜ื™ืึธืŸ ื˜ืขืกื˜, ืฐื™ืคื™ ืœ ืื™ื” ืจ ื–ืขื” ื˜ . ืื™ืŸ ืึทื“ื™ืฉืึทืŸ, ื“ื™ ืกื™ืกื˜ืขื ืื™ื– ืงืขืกื™ื™ื“ืขืจ ื˜ืจื™ื™ื ื’ ืฆื• ื•ื•ืขื ื“ืŸ ื“ื™ ื“ืึทืงื™ื•ืžืขื ื˜ื™ื™ืฉืึทืŸ ื‘ื™ื™ืฉืคื™ืœืŸ ืื™ืจ ืฆื•ืฉื˜ืขืœืŸ ืื™ืŸ ืึท ื•ื•ืขืจืึทืคืึทืงื™ื™ืฉืึทืŸ ืคึผืจืึธืฆืขืก (ืื•ืŸ ืžืืœ ื“ืึธืก ืงืขืŸ ื–ื™ื™ืŸ ื’ืึทื ืฅ ืจื™ืกืึธืจืก-ืื™ื ื˜ืขื ืกื™ื•ื•ืข, ืœืžืฉืœ, ืคึฟืึทืจ ืึท ืคื•ื ืงืฆื™ืข ื•ื•ืขืžืขื ืก ืจืขื–ื•ืœื˜ืึทื˜ ื“ืขืคึผืขื ื“ืก ืื•ื™ืฃ ื˜ืจืึทืค - ื ื•ืžืขืจืŸ ืึธื“ืขืจ ื“ื™ ืฆื™ื™ื˜ ืคื•ืŸ ื˜ืึธื’).

ื•ื•ื™ ืึท ืจืขื–ื•ืœื˜ืึทื˜, ื“ื™ ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ื•ื•ืขื˜ ื”ืึธื‘ืŸ ืึท ื ื•ืžืขืจ ืคื•ืŸ ื™ืžืคึผืœืึทืžืขื ื˜ื™ื™ืฉืึทืŸ ืงืึทืžืคึผืœืขืงืกื™ื˜ื™ื–. ืขื˜ืœืขื›ืข ื•ื•ืขื˜ ื–ื™ื™ืŸ ื‘ืœื•ื™ื– ืึท ืื™ื™ืŸ ืฉื•ืจื” ืคื•ืŸ ืงืึธื“, ืื ื“ืขืจืข ืงืขืŸ ืึทืจื™ื™ึทื ืฆื™ืขืŸ ื˜ื•ื™ื–ื ื˜ืขืจ ืึธื“ืขืจ ื˜ืขื ืก ืคื•ืŸ ื˜ื•ื™ื–ื ื˜ืขืจ ืคื•ืŸ ืฉื•ืจื•ืช, ืžื™ืกื˜ืึธืžืข ื ื™ืฆืŸ ืคื™ืœืข ื”ืขืœืคึผืขืจ ืคืึทื ื’ืงืฉืึทื ื–. ื•ื•ืขืŸ ืื™ื– ืขืก ื•ื•ืขืจื˜ ืฆื• ืœื™ื™ื’ืŸ ืึท ืคึฟื•ื ืงืฆื™ืข ื•ื•ืึธืก ืจื™ืงื•ื•ื™ื™ืขืจื– ื–ื™ื™ืขืจ ืงืœื™ื™ืŸ ืงืึธื“ ืฆื• ื“ืขืคื™ื ื™ืจืŸ? ื‘ื™ื™ืกื™ืงืœื™, ืื•ื™ื‘ ืคึฟืึทืจ ืึท ืคึฟื•ื ืงืฆื™ืข ืขืก ืื™ื– ื’ื•ื˜ ืžื ืขืžืึทื ื™ืง ื ืึธืžืขืŸ, ื•ื•ืึธืก ื™ื•ื–ืขืจื– ื•ื•ืึธืœื˜ ื’ืจื™ื ื’ ืคึฟืึทืจืฉื˜ื™ื™ืŸ ืื•ื™ื‘ ื–ื™ื™ ื–ืขืŸ ืขืก ืื™ืŸ ืึท ืฉื˜ื™ืง ืคื•ืŸ ืงืึธื“, ืขืก ืงืขื ืขืŸ ืฉื•ื™ืŸ ื–ื™ื™ืŸ ืžื•ืกื™ืฃ. ืึทื ื“ืขืจืฉ, ืขืก ืื™ื– ืžื™ืกื˜ืึธืžืข ื‘ืขืกืขืจ ืฆื• ื ืึธืจ ืฆื•ื’ืขื‘ืŸ ื“ื™ ืงืึธื“ ืฆื• ื“ื™ื™ืŸ ืคึผืจืึธื’ืจืึทื ื™ืขื“ืขืจ ืžืึธืœ ืื™ืจ ื“ืึทืจืคึฟืŸ ืฆื• ื ื•ืฆืŸ ืขืก.

ื“ืขืจ ื”ื•ื™ืคึผื˜ ืฆื™ืœ ืคื•ืŸ ืึท ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ (ื•ื•ื™ ื–ื™ื™ืŸ ื ืึธืžืขืŸ ืกืึทื’ื“ื–ืฉืขืก) ืื™ื– ืฆื• ื‘ืึทืงืขื ืขืŸ ื ื™ื™ึทืข ืคึฟืขื™ึดืงื™ื™ื˜ืŸ ืื™ืŸ ื“ืขืจ ืฉืคึผืจืึทืš. ืื•ื™ื‘ ืื™ืจ ื•ื•ื™ืœืŸ ืฆื• ืœื™ื™ื’ืŸ ื ื™ื™ึท ื“ืึทื˜ืŸ ืึธื“ืขืจ ื ื™ื™ึท ืขื ื˜ื™ื˜ื™ื–, ื ื•ืฆืŸ ื•ื•ืึธืœืคืจืึทื ื“ืึทื˜ืึท ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™. ืึธื‘ืขืจ ื•ื•ืึธืก ืื•ื™ื‘ ืื™ืจ ื•ื•ื™ืœืŸ ืฆื• ื‘ืึทืงืขื ืขืŸ ื ื™ื™ึทืข ื˜ื™ื™ืคึผืก ืคื•ืŸ ืึทื‘ื“ื–ืฉืขืงืฅ ืคึฟืึทืจ ื“ื™ื™ืŸ ื—ืฉื‘ื•ื ื•ืช?

ืขืก ื–ืขื ืขืŸ ืคืืงื˜ื™ืฉ ืฆื•ื•ื™ื™ ื•ื•ืขื’ืŸ. ืื™ืจ ืงืขืŸ ื•ื•ืขืœืŸ ืฆื• ื‘ืึทืงืขื ืขืŸ ืึท ื ื™ื™ึทืข ื›ื™ื™ืคืขืฅ ื˜ื™ืคึผ ื•ื•ืึธืก ื•ื•ืขื˜ ื–ื™ื™ืŸ ื’ืขื•ื•ื™ื™ื ื˜ ืื™ืŸ ื ื™ื™ึทืข ืคืึทื ื’ืงืฉืึทื ื– ืื™ืŸ ื“ื™ ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™. ืื•ืŸ ืื™ืŸ ื“ืขื ืคืึทืœ, ืื™ืจ ืงืขื ืขืŸ ืฉื˜ืขื ื“ื™ืง ืฉืจื™ื™ึทื‘ืŸ ืึทืจืึธืคึผ ื–ื™ื™ึทืŸ ืกื™ืžื‘ืึธืœื™ืฉ ืคืึทืจื˜ืจืขื˜ื•ื ื’ ืื•ืŸ ื ื•ืฆืŸ ืขืก ื•ื•ืขืŸ ื™ื ืคึผื•ื˜ื™ื ื’ ืึธื“ืขืจ ืจืขื–ื•ืœื˜ืึทื˜ ืคืึทื ื’ืงืฉืึทื ื– ืื™ืŸ ืึท ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™.

ืื‘ืขืจ ื•ื•ืึธืก ืื•ื™ื‘ ืื™ืจ ื•ื•ื™ืœืŸ ืฆื• ืคืึธืจืฉื˜ืขืœืŸ ืึท ื›ื™ื™ืคืขืฅ ืื•ืŸ ื“ืขืžืึธืœื˜ ื“ืขืคื™ื ื™ืจืŸ, ื“ื•ืจืš ื™ื’ื–ื™ืกื˜ื™ื ื’ ืคืึทื ื’ืงืฉืึทื ื– ืื™ืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš, ืึทื– ืื™ืจ ื•ื•ื™ืœืŸ ืฆื• ืึทืจื‘ืขื˜ืŸ ืžื™ื˜ ืื™ื? ื“ื™ ื•ื•ืึธืœืคืจืึทื ืฉืคึผืจืึทืš ื”ืื˜ ืฉื˜ืขื ื“ื™ืง ื’ืขื”ืื˜ ืึท ืœื™ื™ื˜ื•ื•ื™ื™ื˜ ืžืขืงืึทื ื™ื–ืึทื ืคึฟืึทืจ ื“ืขื, ื’ืขืจื•ืคืŸ UpValues. ืžื™ื˜ ืขื˜ืœืขื›ืข ืจื™ืกื˜ืจื™ืงืฉืึทื ื– (ืกืคึผืขืฆื™ืขืœ ืคึฟืึทืจ ืคืึทื ื’ืงืฉืึทื ื– ืึทื– ืงืขื ืขืŸ ื ื™ืฉื˜ ืึธืคึผืฉืึทืฆืŸ ื–ื™ื™ืขืจ ื˜ืขื ื•ืช), ืึท ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ืึทืœืึทื•ื– ืื™ืจ ืฆื• ืคืฉื•ื˜ ืคืึธืจืฉื˜ืขืœืŸ ืึท ืคึฟื•ื ืงืฆื™ืข ืื•ืŸ ื“ืขืคื™ื ื™ืจืŸ ื•ื•ืึทืœื•ืขืก ืคึฟืึทืจ ืขืก. (ืฆื• ื›ืึทืคึผืŸ ื“ื™ ื“ืขืจื•ื•ืึทืจื˜ื•ื ื’ ืคื•ืŸ ืงืึธื ืกื™ืกื˜ืขื ืกื™ ื•ื•ืขืŸ ืงืจื™ื™ื™ื˜ื™ื ื’ ืึท ื ื™ื™ึทืข ื”ื•ื™ืคึผื˜ ืคึผืœืึทืŸ ื•ื•ืึธืก ืื™ื– ื’ืึธืจ ื™ื ืึทื’ืจื™ื™ื˜ื™ื“ ืื™ื‘ืขืจ ื“ื™ Wolfram ืฉืคึผืจืึทืš ืื™ื– ื‘ื›ืœืœ ืึท ื–ื™ื™ืขืจ ื•ื•ื™ื›ื˜ื™ืง ืคึผืจืึธืฆืขื“ื•ืจ ื•ื•ืึธืก ืงืขื ืขืŸ ื ื™ื˜ ื–ื™ื™ืŸ ืึทื˜ืฉื™ื•ื•ื“ ื“ื•ืจืš ืคืฉื•ื˜ ื™ื ืงืจื™ืกื™ื ื’ ื“ื™ ืคึผืจื™ื™ึทื– ืคื•ืŸ ื“ื™ ืคึผืจื•ื™ืขืงื˜ ืื•ืŸ ืื™ื– ืขืคึผืขืก ื•ื•ืึธืก ืื•ื ื“ื–ืขืจ ืคื™ืจืžืข ื˜ื•ื˜ ื•ื•ื™ ืึท ื˜ื™ื™ืœ ืคื•ืŸ ืคึผืจืึทื“ื–ืฉืขืงืก. ืคึฟืึทืจ ืœืึทื ื’-ื˜ืขืจืžื™ืŸ ืึทื ื˜ื•ื•ื™ืงืœื•ื ื’ ืคื•ืŸ ื“ืขืจ ืฉืคึผืจืึทืš, ื“ืขื ืึทืจื‘ืขื˜ ืื™ื– ื ื™ืฉื˜ ืึท ืฆื™ืœ ื•ื•ืึธืก ืื™ื– ื‘ืึทืฉื˜ื™ืžื˜ ื•ื•ื™ ืึท ื˜ื™ื™ืœ ืคื•ืŸ ื“ืขืจ ืึทื ื˜ื•ื•ื™ืงืœื•ื ื’ ืคื•ืŸ ื“ื™ ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™).

ืึทื–ื•ื™, ื•ื•ืึธืก ืงืขืŸ ื–ื™ื™ืŸ ืื™ืŸ ื“ื™ ืคื•ื ืงืฆื™ืข ืงืึธื“ ืื™ืŸ ืึท ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™? ืึทืœืฅ ื’ืขื‘ื•ื™ื˜ ืื™ืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš, ืคื•ืŸ ืงื•ืจืก (ืœืคึผื—ื•ืช ืื•ื™ื‘ ืขืก ืื™ื– ื ื™ืฉื˜ ืคืึธืจืฉื˜ืขืœืŸ ื˜ืจืขืฅ ืคืึทืจ security ืื•ืŸ ื“ื™ ืคืึธืจืฉื˜ืขืœื•ื ื’ ืคื•ืŸ ื“ื™ ืคึผืจืึธื’ืจืึทื ื–ื™ืš, ื•ื•ื™ ืึท ืงืึทืžืคึผื™ื•ื˜ื™ื ื’ ืกื•ื•ื™ื•ื•ืข) ื•ื•ื™ ื’ืขื–ื•ื ื˜ ื•ื•ื™ ืงื™ื™ืŸ ืคื•ื ืงืฆื™ืข ืคึฟื•ืŸ ื“ื™ ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™. ืึธื‘ืขืจ, ืขืก ื–ืขื ืขืŸ ืื ื“ืขืจืข ืคืึทื ื’ืงืฉืึทื ืึทืœื™ื˜ื™: ืึท ืคื•ื ืงืฆื™ืข ืื™ืŸ ืึท ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ืงืขื ืขืŸ ืจื•ืคืŸ ืึทืŸ ืึทืคึผื™, ืึธื“ืขืจ ืื™ืŸ ื•ื•ืึธืœืคืจืึทื ืงืœืึธื•ื“ืึธื“ืขืจ ืคื•ืŸ ืืŸ ืื ื“ืขืจ ืžืงื•ืจ. ืคื•ืŸ ืงื•ืจืก, ืขืก ื–ืขื ืขืŸ ืขื˜ืœืขื›ืข ืจื™ืกืงืก ืคึฟืึทืจื‘ื•ื ื“ืŸ ืžื™ื˜ ื“ืขื. ืจืขื›ื˜ ืฆื• ื“ืขื ืคืึทืงื˜ ืึทื– ืขืก ื–ืขื ืขืŸ ืงื™ื™ืŸ ื’ืขืจืึทื ื˜ื™ื– ืึทื– ื“ื™ ืึทืคึผื™ ื•ื•ืขื˜ ื ื™ืฉื˜ ื˜ื•ื™ืฉืŸ, ืื•ืŸ ื“ื™ ืคื•ื ืงืฆื™ืข ืื™ืŸ ื“ื™ ืคื•ื ืงืฆื™ืข ืงืจืึธื ื•ื•ืขื˜ ื”ืึทืœื˜ืŸ ืืจื‘ืขื˜ืŸ. ืฆื• ื”ืขืœืคืŸ ื™ื“ืขื ื˜ื™ืคื™ืฆื™ืจืŸ ื™ืฉื•ื– ื•ื•ื™ ื“ืขื, ืขืก ืื™ื– ืึท ื˜ืึธืŸ ืื•ื™ืฃ ื“ื™ ื“ืึทืงื™ื•ืžืขื ื˜ื™ื™ืฉืึทืŸ ื‘ืœืึทื˜ (ืื™ืŸ ื“ื™ ืจืขืงื•ื•ื™ืจืขืžืขื ืฅ ืึธืคึผื˜ื™ื™ืœื•ื ื’) ืคึฟืึทืจ ืงื™ื™ืŸ ืฉื˜ืจื™ืš ื•ื•ืึธืก ืจื™ืœื™ื™ื– ืื•ื™ืฃ ืžืขืจ ื•ื•ื™ ื‘ืœื•ื™ื– ื“ื™ ื’ืขื‘ื•ื™ื˜-ืื™ืŸ Wolfram ืฉืคึผืจืึทืš ืคืึทื ื’ืงืฉืึทื ืึทืœื™ื˜ื™. (ื“ืึธืš, ื•ื•ืขืŸ ืขืก ืงื•ืžื˜ ืฆื• ืคืึทืงื˜ื™ืฉ ื“ืึทื˜ืŸ, ืขืก ืงืขืŸ ื–ื™ื™ืŸ ืคืจืื‘ืœืขืžืขืŸ ืืคื™ืœื• ืžื™ื˜ ื“ืขื ืคืึทื ื’ืงืฉืึทื ืึทืœื™ื˜ื™ - ื•ื•ื™ื™ึทืœ ืคืึทืงื˜ื™ืฉ ื•ื•ืขืœื˜ ื“ืึทื˜ืŸ ืื™ื– ืงืขืกื™ื™ื“ืขืจ ื˜ืฉืึทื ื’ื™ื ื’, ืื•ืŸ ืžืืœ ืืคื™ืœื• ื“ื™ ื“ืขืคึฟื™ื ื™ืฆื™ืข ืื•ืŸ ืกื˜ืจื•ืงื˜ื•ืจ ื˜ื•ื™ืฉืŸ.)

ื–ืึธืœ ืึทืœืข ืงืึธื“ ืคึฟืึทืจ ื“ื™ Wolfram ืฉื˜ืจื™ืš ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ื–ื™ื™ืŸ ื’ืขืฉืจื™ื‘ืŸ ืื™ืŸ Wolfram? ืึทื•ื•ืึทื“ืข, ื“ื™ ืงืึธื“ ืื™ืŸ ื“ื™ ืคื•ื ื“ืจื•ื™ืกื ื“ื™ืง ืึทืคึผื™ ื–ืึธืœ ื ื™ืฉื˜ ื–ื™ื™ืŸ ื’ืขืฉืจื™ื‘ืŸ ืื™ืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš, ื•ื•ืึธืก ื˜ื•ื˜ ื ื™ืฉื˜ ืืคื™ืœื• ืžืึทื›ืŸ ื“ื™ ืฉืคึผืจืึทืš ืงืึธื“. ืื™ืŸ ืคืึทืงื˜, ืื•ื™ื‘ ืื™ืจ ื’ืขืคึฟื™ื ืขืŸ ืึท ืคึฟื•ื ืงืฆื™ืข ืื™ืŸ ื›ึผืžืขื˜ ืงื™ื™ืŸ ืคื•ื ื“ืจื•ื™ืกื ื“ื™ืง ืฉืคึผืจืึทืš ืึธื“ืขืจ ื‘ื™ื‘ืœื™ืึธื˜ืขืง, ืื™ืจ ืงืขื ืขืŸ ืžืึทื›ืŸ ืึท ืจืึทืคึผืขืจ ื•ื•ืึธืก ืึทืœืึทื•ื– ืื™ืจ ืฆื• ื ื•ืฆืŸ ืขืก ืื™ืŸ ื“ื™ Wolfram ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™. (ื™ื•ื–ืฉืึทื•ื•ืึทืœื™ ืื™ืจ ื–ืึธืœ ื ื•ืฆืŸ ื“ื™ ื’ืขื‘ื•ื™ื˜-ืื™ืŸ ืคืึทื ื’ืงืฉืึทื ื– ืคึฟืึทืจ ื“ืขื ExternalEvaluate ืึธื“ืขืจ ืขืงืกื˜ืขืจื ืึทืœ ืคื•ื ืงืฆื™ืข ืื™ืŸ Wolfram ืฉืคึผืจืึทืš ืงืึธื“.)

ืึทื–ื•ื™ ื•ื•ืึธืก ืื™ื– ื“ื™ ืคื•ื ื˜ ืคื•ืŸ ื˜ืึธืŸ ื“ืึธืก? ื™ืกืขื ืฉืึทืœื™, ื“ืึธืก ืึทืœืึทื•ื– ืื™ืจ ืฆื• ื ื•ืฆืŸ ื“ื™ ื’ืื ืฆืข ื™ื ืึทื’ืจื™ื™ื˜ื™ื“ Wolfram ืฉืคึผืจืึทืš ืกื™ืกื˜ืขื ืื•ืŸ ื“ื™ ื’ืื ืฆืข ื™ื•ื ืึทืคื™ื™ื“ ื’ืึทื ื’ ืคื•ืŸ ื•ื•ื™ื™ื›ื•ื•ืืจื’ ืงื™ื™ืคึผืึทื‘ื™ืœืึทื˜ื™ื–. ืื•ื™ื‘ ืื™ืจ ื‘ืึทืงื•ืžืขืŸ ื“ื™ ื‘ืึทื–ืข ื™ืžืคึผืœืึทืžืขื ื˜ื™ื™ืฉืึทืŸ ืคื•ืŸ ืึท ืคื•ื ื“ืจื•ื™ืกื ื“ื™ืง ื‘ื™ื‘ืœื™ืึธื˜ืขืง ืึธื“ืขืจ ืฉืคึผืจืึทืš, ืื™ืจ ืงืขื ื˜ ื ื•ืฆืŸ ื“ื™ ืจื™ื™ึทืš ืกื™ืžื‘ืึธืœื™ืฉ ืกื˜ืจื•ืงื˜ื•ืจ ืคื•ืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš ืฆื• ืฉืึทืคึฟืŸ ืึท ื‘ืึทืงื•ื•ืขื ืฉืคึผื™ืฅ-ืžื“ืจื’ื” ืคื•ื ืงืฆื™ืข ื•ื•ืึธืก ืึทืœืึทื•ื– ื ื™ืฆืขืจืก ืฆื• ืœื™ื™ื›ื˜ ื ื•ืฆืŸ ืงื™ื™ืŸ ืฉื•ื™ืŸ ื™ืžืคึผืœืึทืžืขื ืึทื“ ืคืึทื ื’ืงืฉืึทื ืึทืœื™ื˜ื™. ืื™ืŸ ืžื™ื ื“ืกื˜ืขืจ, ื“ืึธืก ื–ืึธืœ ื–ื™ื™ืŸ ืคื™ื–ืึทื‘ืึทืœ ืื™ืŸ ืึทืŸ ืื™ื“ืขืืœ ื•ื•ืขืœื˜ ื•ื•ื• ืึทืœืข ื“ื™ ื‘ื ื™ืŸ ื‘ืœืึทืงืก ืคื•ืŸ ืœืึธื•ื“ื™ื ื’ ื‘ื™ื‘ืœื™ืึธื˜ืขืง ืขื˜ืง ืขืงืกื™ืกื˜ื™ืจืŸ, ืื™ืŸ ื•ื•ืึธืก ืคืึทืœ ื–ื™ื™ ื•ื•ืึธืœื˜ ื–ื™ื™ืŸ ื›ืึทื ื“ืึทืœื“ ืื•ื™ื˜ืึธืžืึทื˜ื™ืฉ ื“ื•ืจืš ื“ื™ Wolfram ืฉืคึผืจืึทืš. (ืขืก ื–ืึธืœ ื–ื™ื™ืŸ ืื ื’ืขื•ื•ื™ื–ืŸ ืึทื– ืื™ืŸ ืคื™ืจ ืขืก ืงืขืŸ ื–ื™ื™ืŸ ืคึผืจืึธื‘ืœืขืžืก ืžื™ื˜ ื‘ืึทืฉื˜ืขื˜ื™ืงืŸ ืคื•ื ื“ืจื•ื™ืกื ื“ื™ืง ืฉืคึผืจืึทื›ืŸ ืกืคึผืขืฆื™ืคื™ืฉ ืงืึธืžืคึผื™ื•ื˜ืขืจ ืกื™ืกื˜ืขื ืื•ืŸ ื•ื•ืึธืœืงืŸ ืกื˜ืึธืจื™ื“ื–ืฉ ืงืขืŸ ื–ื™ื™ืŸ ื ืึธืš ื–ื™ื›ืขืจื”ื™ื™ื˜ ื™ืฉื•ื–).

ื“ื•ืจืš ื“ืขื ื•ื•ืขื’, ื•ื•ืขืŸ ืื™ืจ ืขืจืฉื˜ืขืจ ืงื•ืง ืื™ืŸ ื˜ื™ืคึผื™ืฉ ืคื•ื ื“ืจื•ื™ืกื ื“ื™ืง ืœื™ื™ื‘ืจืขืจื™ื–, ื–ื™ื™ ืึธืคื˜ ื•ื™ืกืงื•ืžืขืŸ ืฆื• ืงืึธืžืคึผืœื™ืฆื™ืจื˜ ืฆื• ื–ื™ื™ืŸ ื‘ืื“ืขืงื˜ ืื™ืŸ ื‘ืœื•ื™ื– ืึท ื‘ื™ืกืœ ืคืึทื ื’ืงืฉืึทื ื–, ืึธื‘ืขืจ ืื™ืŸ ืคื™ืœืข ืงืึทืกืขืก, ืคื™ืœ ืคื•ืŸ ื“ื™ ืงืึทืžืคึผืœืขืงืกื™ื˜ื™ ืงื•ืžื˜ ืคื•ืŸ ืงืจื™ื™ื™ื˜ื™ื ื’ ื“ื™ ื™ื ืคืจืึทืกื˜ืจืึทืงื˜ืฉืขืจ ื“ืืจืฃ ืคึฟืึทืจ ื“ื™ ื‘ื™ื‘ืœื™ืึธื˜ืขืง ืื•ืŸ ืึทืœืข ื“ื™ ืคืึทื ื’ืงืฉืึทื ื– ืฆื• ืฉื˜ื™ืฆืŸ ืขืก . ืึธื‘ืขืจ, ื•ื•ืขืŸ ื ื™ืฆืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš, ื“ื™ ื™ื ืคืจืึทืกื˜ืจืึทืงื˜ืฉืขืจ ืื™ื– ื˜ื™ืคึผื™ืงืœื™ ืฉื•ื™ืŸ ื’ืขื‘ื•ื™ื˜ ืื™ืŸ ื“ื™ ืคึผืึทืงืึทื“ื–ืฉืึทื–, ืื•ืŸ ืึทื–ื•ื™ ืขืก ืื™ื– ื ื™ื˜ ื“ืึทืจืคึฟืŸ ืฆื• ื•ื™ืกืฉื˜ืขืœืŸ ืึทืœืข ื“ื™ ืฉื˜ื™ืฆืŸ ืคืึทื ื’ืงืฉืึทื ื– ืื™ืŸ ื“ืขื˜ืึทืœ, ืึธื‘ืขืจ ื‘ืœื•ื™ื– ืฉืึทืคึฟืŸ ืคืึทื ื’ืงืฉืึทื ื– ืคึฟืึทืจ ื“ื™ "ืฉืคึผื™ืฅ-ืกืคึผืขืฆื™ืคื™ืฉ ืคืึทื ื’ืงืฉืึทื ื– ืื™ืŸ ื“ืขืจ ื‘ื™ื‘ืœื™ืึธื˜ืขืง" .

"ื™ืงืึธื•ืกื™ืกื˜ืึทื" ืคื•ืŸ ื“ื™ ื•ื•ื™ืกืŸ ื‘ืึทื–ืข

ืื•ื™ื‘ ืื™ืจ ื”ืึธื˜ ื’ืขืฉืจื™ื‘ืŸ ืคืึทื ื’ืงืฉืึทื ื– ื•ื•ืึธืก ืื™ืจ ื ื•ืฆืŸ ืงืขืกื™ื™ื“ืขืจ, ืคืึธืจืœื™ื™ื’ืŸ ื–ื™ื™ ืฆื• ื“ื™ Wolfram Function Repository! ืื•ื™ื‘ ืขืคึผืขืก ืžืขืจ ืงืขืŸ ื ื™ืฉื˜ ืงื•ืžืขืŸ ืื•ื™ืก ืคื•ืŸ ื“ืขื (ืฉืคึผืจืึทืš ืึทื ื˜ื•ื•ื™ืงืœื•ื ื’), ืึทืคึฟื™ืœื• ื“ืขืžืึธืœื˜ ืขืก ื•ื•ืขื˜ ื–ื™ื™ืŸ ืคื™ืœ ืžืขืจ ื‘ืึทืงื•ื•ืขื ืคึฟืึทืจ ืื™ืจ ืฆื• ื ื•ืฆืŸ ื“ื™ ืคืึทื ื’ืงืฉืึทื ื– ืคึฟืึทืจ ืคึผืขืจื–ืขื ืœืขืš ื ื•ืฆืŸ. ืึธื‘ืขืจ, ืขืก ืื™ื– ืœืึทื“ื–ืฉื™ืงืึทืœ ืฆื• ื™ื‘ืขืจื ืขืžืขืŸ ืึทื– ืื•ื™ื‘ ืื™ืจ ื ื•ืฆืŸ ื“ื™ ืคืึทื ื’ืงืฉืึทื ื– ืงืขืกื™ื™ื“ืขืจ, ื˜ืึธืžืขืจ ืื ื“ืขืจืข ื ื™ืฆืขืจืก ื•ื•ืขืœืŸ ืื•ื™ืš ื’ืขืคึฟื™ื ืขืŸ ื–ื™ื™ ื ื•ืฆื™ืง.

ื’ืขื•ื•ื™ื™ื ื˜ืœืขืš, ืื™ืจ ืงืขืŸ ื’ืขืคึฟื™ื ืขืŸ ื–ื™ืš ืื™ืŸ ืึท ืกื™ื˜ื•ืึทืฆื™ืข ื•ื•ื• ืื™ืจ ืงืขื ืขืŸ ื ื™ืฉื˜ - ืึธื“ืขืจ ื˜ืึธืŸ ื ื™ืฉื˜ ื•ื•ืขืœืŸ - ืฆื• ื˜ื™ื™ืœืŸ ื“ื™ื™ืŸ ืคืึทื ื’ืงืฉืึทื ื– ืึธื“ืขืจ ืื™ืŸ ืคืึทืœ ืคื•ืŸ ืึทืงืกืขืก ืฆื• ืคึผืจื™ื•ื•ืึทื˜ ืื™ื ืคึฟืึธืจืžืึทืฆื™ืข ืจืขืกื•ืจืกืŸ. ืืคื™ืœื• ืื™ืŸ ืึทื–ืึท ืงืึทืกืขืก, ืื™ืจ ืงืขื ืขืŸ ืคืฉื•ื˜ ืฆืขื•ื•ื™ืงืœืขืŸ ื“ื™ ืคืึทื ื’ืงืฉืึทื ื– ืื™ืŸ ื“ื™ื™ืŸ ืื™ื™ื’ืขื ืข ื•ื•ืึธืœืงืŸ ื—ืฉื‘ื•ืŸ, ืกืคึผืขืฆื™ืคื™ืฆื™ืจืŸ ืจืขื›ื˜ ืฆื•ื˜ืจื™ื˜ ืฆื• ื–ื™ื™. (ืื•ื™ื‘ ื“ื™ื™ืŸ ืึธืจื’ืึทื ื™ื–ืึทืฆื™ืข ื”ืื˜ Wolfram Enterprise ืคึผืจื™ื•ื•ืึทื˜ ื•ื•ืึธืœืงืŸ, ื“ืขืžืึธืœื˜ ืขืก ื•ื•ืขื˜ ื‘ืึทืœื“ ื–ื™ื™ืŸ ื‘ื™ื›ื•ืœืช ืฆื• ื‘ืึทืœืขื‘ืึธืก ื–ื™ื™ืŸ ืื™ื™ื’ืขื ืข ืคึผืจื™ื•ื•ืึทื˜ ืฉื˜ืจื™ืš ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™, ื•ื•ืึธืก ืงืขื ืขืŸ ื–ื™ื™ืŸ ืึทื“ืžื™ื ืึทืกื˜ืขืจื“ ืคึฟื•ืŸ ื“ื™ื™ืŸ ืึธืจื’ืึทื ื™ื–ืึทืฆื™ืข ืื•ืŸ ืฉื˜ืขืœืŸ ืฆื™ ืฆื• ืฆื•ื•ื™ื ื’ืขืŸ ืงื•ืงืŸ ืฆื• ื–ื™ื™ืŸ ื•ื•ื™ื•ื“ ื“ื•ืจืš ื“ืจื™ื˜-ืคึผืึทืจื˜ื™ื™ ื™ื•ื–ืขืจื– ืึธื“ืขืจ ื ื™ืฉื˜.)

ื“ื™ ืคืึทื ื’ืงืฉืึทื ื– ืื™ืจ ืคืึธืจืœื™ื™ื’ืŸ ืฆื• ื“ื™ Wolfram ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ื˜ืึธืŸ ื ื™ื˜ ื”ืึธื‘ืŸ ืฆื• ื–ื™ื™ืŸ ื’ืื ืฅ; ื–ื™ื™ ื ืึธืจ ื”ืึธื‘ืŸ ืฆื• ื–ื™ื™ืŸ ื ื•ืฆื™ืง. ื“ืึธืก ืื™ื– ืึท ื‘ื™ืกืœ ื•ื•ื™ ื“ื™ "ืขืจืจืึธืจืก" ืึธืคึผื˜ื™ื™ืœื•ื ื’ ืื™ืŸ ืงืœืึทืกื™ืฉ ื™ื•ื ื™ืงืก ื“ืึทืงื™ื•ืžืขื ื˜ื™ื™ืฉืึทืŸ - ืื™ืŸ ื“ื™ "ื“ืขืคื™ื ื™ืฉืึทื ื– ืึธืคึผื˜ื™ื™ืœื•ื ื’" ืขืก ืื™ื– ืึทืŸ "ืžื—ื‘ืจ ืก ื ืึธื˜ืขืก" ืึธืคึผื˜ื™ื™ืœื•ื ื’ ื•ื•ื• ืื™ืจ ืงืขื ืขืŸ ื‘ืึทืฉืจื™ื™ึทื‘ืŸ ืœื™ืžื™ื˜ื™ื™ืฉืึทื ื–, ืคึผืจืึธื‘ืœืขืžืก, ืืื–"ื• ื• ื•ื•ืึธืก ืื™ืจ ืฉื•ื™ืŸ ื•ื•ื™ืกืŸ ื•ื•ืขื’ืŸ ื“ื™ื™ืŸ ืคื•ื ืงืฆื™ืข. ืึทื“ื“ื™ื˜ื™ืึธื ืึทืœืœื™, ื•ื•ืขืŸ ืื™ืจ ืคืึธืจืœื™ื™ื’ืŸ ื“ื™ื™ืŸ ืฉื˜ืจื™ืš ืฆื• ื“ื™ ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™, ืื™ืจ ืงืขื ืขืŸ ืœื™ื™ื’ืŸ ืกืึทื‘ืžื™ืฉืึทืŸ ื”ืขืจื•ืช ื•ื•ืึธืก ื•ื•ืขื˜ ื–ื™ื™ืŸ ืœื™ื™ืขื ืขืŸ ื“ื•ืจืš ืึท ื“ืขื“ืึทืงื™ื™ื˜ืึทื“ ืžืึทื ืฉืึทืคึฟื˜ ืคื•ืŸ ืงื•ืจืึทื˜ืึธืจืก.

ืึทืžืึธืœ ืึท ืฉื˜ืจื™ืš ืื™ื– ืืจื•ื™ืก, ื–ื™ื™ืŸ ื‘ืœืึทื˜ ืฉื˜ืขื ื“ื™ืง ื”ืื˜ ืฆื•ื•ื™ื™ ืœื™ื ืงืก ืื™ืŸ ื“ื™ ื“ื ืึธ: "ืฉื™ืงืŸ ืึท ืึธื ื–ืึธื’ ื•ื•ืขื’ืŸ ื“ืขื ืฉื˜ืจื™ืš"ืื•ืŸ"ื“ื™ืกืงื•ื˜ื™ืจืŸ ืื™ืŸ ื“ื™ Wolfram ืงื”ืœ" ืื•ื™ื‘ ืื™ืจ ืึทื˜ืึทื˜ืฉื˜ ืึท ื˜ืึธืŸ (ืœืžืฉืœ, ื–ืึธื’ืŸ ืžื™ืจ ื•ื•ืขื’ืŸ ื‘ืึทื’ื–), ืื™ืจ ืงืขื ืขืŸ ืงืึธื ื˜ืจืึธืœื™ืจืŸ ื“ื™ ืงืขืกื˜ืœ ื•ื•ืึธืก ื–ืื’ื˜ ืึทื– ืื™ืจ ื•ื•ื™ืœืŸ ื“ื™ื™ืŸ ืึธื ื–ืึธื’ ืื•ืŸ ืงืึธื ื˜ืึทืงื˜ ืื™ื ืคึฟืึธืจืžืึทืฆื™ืข ืฆื• ื–ื™ื™ืŸ ืฉืขืจื“ ืžื™ื˜ ื“ื™ ืžื—ื‘ืจ ืคื•ืŸ ื“ื™ ืฉื˜ืจื™ืš.

ืžืืœ ืื™ืจ ื ืึธืจ ื•ื•ื™ืœืŸ ืฆื• ื ื•ืฆืŸ ืคืึทื ื’ืงืฉืึทื ื– ืคื•ืŸ ื“ื™ Wolfram ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™, ืึทื–ืึท ื•ื•ื™ ื’ืขื‘ื•ื™ื˜-ืื™ืŸ ืคืึทื ื’ืงืฉืึทื ื–, ืึธืŸ ืงื•ืงืŸ ืื™ืŸ ื–ื™ื™ืขืจ ืงืึธื“. ืึธื‘ืขืจ, ืื•ื™ื‘ ืื™ืจ ื•ื•ื™ืœืŸ ืฆื• ื ืขืžืขืŸ ืึท ืงื•ืง ื™ืŸ, ืขืก ืื™ื– ืฉื˜ืขื ื“ื™ืง ืึท ื ืึธื˜ืขืคึผืึทื“ ืงื ืขืคึผืœ ืื™ืŸ ื“ื™ ืฉืคึผื™ืฅ. ื“ืจื™ืงื˜ ืื•ื™ืฃ ืขืก ืื•ืŸ ืื™ืจ ื•ื•ืขื˜ ื‘ืึทืงื•ืžืขืŸ ื“ื™ื™ืŸ ืื™ื™ื’ืขื ืข ืงืึธืคึผื™ืข ืคื•ืŸ โ€‹โ€‹โ€‹โ€‹ื“ืขืจ ืึธืจื™ื’ื™ื ืขืœ ื“ืขืคึฟื™ื ื™ืฆื™ืข ื”ืขืคื˜ ื•ื•ืึธืก ืื™ื– ื’ืขื•ื•ืขืŸ ื“ืขืจืœืื ื’ื˜ ืฆื• ื“ื™ ืฉื˜ืจื™ืš ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™. ืžืืœ ืื™ืจ ืงืขื ืขืŸ ื ืึธืจ ื ื•ืฆืŸ ืขืก ื•ื•ื™ ืึท ื‘ื™ื™ืฉืคึผื™ืœ ืคึฟืึทืจ ื“ื™ื™ืŸ ื‘ืื“ืขืจืคืขื ื™ืฉืŸ. ืื™ืŸ ื“ืขืจ ื–ืขืœื‘ื™ืงืขืจ ืฆื™ื™ื˜, ืื™ืจ ืงืขื ืขืŸ ืื•ื™ืš ืึทื ื˜ื•ื•ื™ืงืœืขืŸ ื“ื™ื™ืŸ ืื™ื™ื’ืขื ืข ืžืึธื“ื™ืคื™ืงืึทื˜ื™ืึธืŸ ืคื•ืŸ ื“ืขื ืคึฟื•ื ืงืฆื™ืข. ืื™ืจ ืงืขืŸ ื•ื•ืขืœืŸ ืฆื• ืคึผืึธืกื˜ืŸ ื“ื™ ืคืึทื ื’ืงืฉืึทื ื– ืื™ืจ ื’ืขืคึฟื•ื ืขืŸ ืคึฟื•ืŸ ื“ื™ ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ืื•ื™ืฃ ื“ื™ื™ืŸ ืงืึธืžืคึผื™ื•ื˜ืขืจ ืึธื“ืขืจ ืื™ืŸ ื“ื™ื™ืŸ ืึทืคื™ื“ ื•ื•ืึธืœืงืŸ ืกื˜ืึธืจื™ื“ื–ืฉ ื—ืฉื‘ื•ืŸ, ื˜ืึธืžืขืจ ืื™ืจ ื•ื•ื™ืœืŸ ืฆื• ืคืึธืจืœื™ื™ื’ืŸ ื–ื™ื™ ืฆื• ื“ื™ ืคื•ื ืงืฆื™ืข ื•ื•ื™ืกืŸ ื‘ืึทื–ืข, ื˜ืึธืžืขืจ ื•ื•ื™ ืึท ื™ืžืคึผืจื•ื•ื•ื“, ื™ืงืกืคึผืึทื ื“ื™ื“ ื•ื•ืขืจืกื™ืข ืคื•ืŸ โ€‹โ€‹โ€‹โ€‹ื“ืขืจ ืึธืจื™ื’ื™ื ืขืœ ืคื•ื ืงืฆื™ืข.

ืื™ืŸ ื“ืขืจ ืฆื•ืงื•ื ืคึฟื˜, ืžื™ืจ ืคึผืœืึทื ื™ืจืŸ ืฆื• ืฉื˜ื™ืฆืŸ Git-ื ื•ืกื— ืคืึธืจืงื™ื ื’ ืคึฟืึทืจ ืฉื˜ืจื™ืš ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ื–, ืึธื‘ืขืจ ืื™ืฆื˜ ืžื™ืจ ืคึผืจื•ื‘ื™ืจืŸ ืฆื• ื”ืึทืœื˜ืŸ ืขืก ืคึผืฉื•ื˜, ืื•ืŸ ืžื™ืจ ืฉื˜ืขื ื“ื™ืง ื”ืึธื‘ืŸ ื‘ืœื•ื™ื– ืื™ื™ืŸ ืื ื’ืขื ื•ืžืขืŸ ื•ื•ืขืจืกื™ืข ืคื•ืŸ โ€‹โ€‹โ€‹โ€‹ื™ืขื“ืขืจ ืฉื˜ืจื™ืš ื’ืขื‘ื•ื™ื˜ ืื™ืŸ ื“ืขืจ ืฉืคึผืจืึทืš. ืžืขืจ ืึธืคื˜ ื•ื•ื™ ื ื™ื˜ (ืกื™ื™ึทื“ืŸ ื“ืขื•ื•ืขืœืึธืคึผืขืจืก ื’ืขื‘ืŸ ืึทืจื•ื™ืฃ ื“ื™ ืคืึทื ื’ืงืฉืึทื ื– ื–ื™ื™ ื“ืขื•ื•ืขืœืึธืคึผืขื“ ืื•ืŸ ืจื™ืกืคึผืึทื ื“ ืฆื• ื‘ืึทื ื™ืฆืขืจ ืกืึทื‘ืžื™ืฉืึทื ื–), ื“ืขืจ ืึธืจื™ื’ื™ื ืขืœ ืžื—ื‘ืจ ืคื•ืŸ ื“ื™ ืฉื˜ืจื™ืš ื ืขืžื˜ ืงืึธื ื˜ืจืึธืœ ืคื•ืŸ ื“ืขืจื”ื™ื™ึทื ื˜ื™ืงื•ื ื’ืขืŸ ืฆื• ืขืก ืื•ืŸ ืกืึทื‘ืžื™ืฅ ื ื™ื™ึทืข ื•ื•ืขืจืกื™ืขืก, ื•ื•ืึธืก ื–ืขื ืขืŸ ืจื™ื•ื•ื™ื•ื“ ืื•ืŸ, ืื•ื™ื‘ ื–ื™ื™ ืคืึธืจืŸ ื“ื™ ืึธืคึผืฉืึทืฆื•ื ื’ ืคึผืจืึธืฆืขืก , ืืจื•ื™ืกื’ืขื’ืขื‘ ืŸ ืื™ ืŸ ื“ืข ืจ ืฉืคืจืืš .

ื–ืืœ ืก ื‘ืึทื˜ืจืึทื›ื˜ืŸ ื“ื™ ืงืฉื™ื ืคื•ืŸ ื•ื•ื™ "ื•ื•ืขืจืกื™ืึธืŸ" ืคื•ืŸ ื“ืขื•ื•ืขืœืึธืคึผืขื“ ืคืึทื ื’ืงืฉืึทื ื– ืึทืจื‘ืขื˜. ืจืขื›ื˜ ืื™ืฆื˜, ื•ื•ืขืŸ ืื™ืจ ื ื•ืฆืŸ ืึท ืคื•ื ืงืฆื™ืข ืคึฟื•ืŸ ื“ื™ ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™, ื“ื™ ื“ืขืคึฟื™ื ื™ืฆื™ืข ื•ื•ืขื˜ ื–ื™ื™ืŸ ืคึผืขืจืžืึทื ืึทื ื˜ืœื™ ืกื˜ืึธืจื“ ืื•ื™ืฃ ื“ื™ื™ืŸ ืงืึธืžืคึผื™ื•ื˜ืขืจ (ืึธื“ืขืจ ืื™ืŸ ื“ื™ื™ืŸ ื•ื•ืึธืœืงืŸ ื—ืฉื‘ื•ืŸ ืื•ื™ื‘ ืื™ืจ ื ื•ืฆืŸ ื“ื™ ื•ื•ืึธืœืงืŸ). ืื•ื™ื‘ ืึท ื ื™ื™ึทืข ื•ื•ืขืจืกื™ืข ืคื•ืŸ โ€‹โ€‹โ€‹โ€‹ืึท ืฉื˜ืจื™ืš ืื™ื– ื‘ื ื™ืžืฆื, ื“ื™ ื•ื•ื™ื™ึทื˜ืขืจ ืžืึธืœ ืื™ืจ ื ื•ืฆืŸ ืขืก, ืื™ืจ ื•ื•ืขื˜ ื‘ืึทืงื•ืžืขืŸ ืึท ืึธื ื–ืึธื’ ืžื™ื˜ ื“ื™ ืึธื ื–ืึธื’ ื•ื•ืขื’ืŸ ื“ืขื. ืื•ืŸ ืื•ื™ื‘ ืื™ืจ ื•ื•ื™ืœืŸ ืฆื• ื“ืขืจื”ื™ื™ึทื ื˜ื™ืงืŸ ื“ื™ ืคื•ื ืงืฆื™ืข ืฆื• ืึท ื ื™ื™ึทืข ื•ื•ืขืจืกื™ืข, ืื™ืจ ืงืขื ืขืŸ ื˜ืึธืŸ ื“ืึธืก ืžื™ื˜ ื“ื™ ื‘ืึทืคึฟืขืœ ResourceUpdate. (ื“ื™ "ืคื•ื ืงืฆื™ืข ื‘ืœืึธื‘" ืึทืงื˜ืฉืึทื•ื•ืึทืœื™ ืกื˜ืึธืจื– ืžืขืจ ื•ื•ืขืจืกื™ืข ืื™ื ืคึฟืึธืจืžืึทืฆื™ืข, ืื•ืŸ ืžื™ืจ ืคึผืœืึทื ื™ืจืŸ ืฆื• ืžืึทื›ืŸ ื“ืขื ืžืขืจ ืฆื•ื˜ืจื™ื˜ืœืขืš ืคึฟืึทืจ ืื•ื ื“ื–ืขืจ ื™ื•ื–ืขืจื– ืื™ืŸ ื“ืขืจ ืฆื•ืงื•ื ืคึฟื˜.)

ืื™ื™ื ืขืจ ืคื•ืŸ ื“ื™ ืฉื™ื™ืŸ ื˜ื™ื ื’ื– ื•ื•ืขื’ืŸ ื“ื™ Wolfram Function Repository ืื™ื– ืึทื– ื™ืขื“ืขืจ Wolfram ืฉืคึผืจืึทืš ืคึผืจืึธื’ืจืึทื, ืขืจื’ืขืฅ, ืงืขื ืขืŸ ื ื•ืฆืŸ ืคืึทื ื’ืงืฉืึทื ื– ืคึฟื•ืŸ ืขืก. ืื•ื™ื‘ ืึท ืคึผืจืึธื’ืจืึทื ืื™ื– ืืจื•ื™ืก ืื™ืŸ ืึท ื ืึธื˜ืขืคึผืึทื“, ืขืก ืื™ื– ืึธืคื˜ ื‘ืึทืงื•ื•ืขื ืฆื• ืคึฟืึธืจืžืึทื˜ ื“ื™ ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ืคืึทื ื’ืงืฉืึทื ื– ื•ื•ื™ ื’ืจื™ื ื’ ืฆื• ืœื™ื™ืขื ืขืŸ "ืคื•ื ืงืฆื™ืข ื‘ื™ื™ื ืขืจื™ ื›ื™ื™ืคืขืฅ" ืคืึทื ื’ืงืฉืึทื ื– (ื˜ืึธืžืขืจ ืžื™ื˜ ืึท ืฆื•ื ืขืžืขืŸ ื•ื•ืขืจืกื™ืข ืฉื˜ืขืœืŸ).

ืื™ืจ ืงืขื ื˜ ืฉื˜ืขื ื“ื™ืง ืึทืงืกืขืก ืงื™ื™ืŸ ืคื•ื ืงืฆื™ืข ืื™ืŸ ื“ื™ ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ืžื™ื˜ ื˜ืขืงืกื˜ ืžื™ื˜ืœ ืคึฟื•ื ืงืฆื™ืข[...]. ืื•ืŸ ื“ืึธืก ืื™ื– ื–ื™ื™ืขืจ ื‘ืึทืงื•ื•ืขื ืื•ื™ื‘ ืื™ืจ ืฉืจื™ื™ึทื‘ืŸ ืงืึธื“ ืึธื“ืขืจ ืกืงืจื™ืคึผืก ื’ืœื™ื™ึทืš ืคึฟืึทืจ ื“ื™ Wolfram Engine, ืœืžืฉืœ, ืžื™ื˜ ื ื™ืฆืŸ ืึทืŸ IDE ืึธื“ืขืจ ื˜ืขืงืกื˜ ืงืึธื“ ืจืขื“ืึทืงื˜ืึธืจ (ืขืก ื–ืึธืœ ื–ื™ื™ืŸ ืกืคึผืขืฆื™ืขืœ ื‘ืืžืขืจืงื˜ ืึทื– ื“ื™ ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ืื™ื– ื’ืึธืจ ืงืึทืžืคึผืึทื˜ืึทื‘ืึทืœ ืžื™ื˜ Free Wolfram Engine ืคึฟืึทืจ ื“ืขื•ื•ืขืœืึธืคึผืขืจืก).

ื•ื•ื™ ื˜ื•ื˜ ืขืก ืึทืจื‘ืขื˜?

ืื™ืŸ ื“ื™ ืคืึทื ื’ืงืฉืึทื ื– ืื™ืŸ ื“ื™ Wolfram ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™, ื“ืึธืก ืื™ื– ืžืขื’ืœืขืš ืžื™ื˜ ืคึผื•ื ืงื˜ ื“ื™ ื–ืขืœื‘ืข ืžื™ื˜ืœ ืกื™ืกื˜ืขืžืขืŸ ื‘ืึทืกืขืก, ื•ื•ื™ ืื™ืŸ ืึทืœืข ืื•ื ื“ื–ืขืจ ืื ื“ืขืจืข ื™ื’ื–ื™ืกื˜ื™ื ื’ ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ื– (ื“ืึทื˜ืŸ ืงืจืึธื, ื ืขื•ืจืึทืœ ื ืขื˜ ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™, ื–ืึทืžืœื•ื ื’ ืคื•ืŸ ื“ืขืžืึธ ืคึผืจืึทื“ื–ืฉืขืงืก ืืื–"ื• ื•), ื•ื•ื™ ืึทืœืข ืื ื“ืขืจืข Wolfram ืกื™ืกื˜ืขื ืจืขืกื•ืจืกืŸ, ืจื™ืกืึธืจืกืคื•ื ืงื˜ื™ืึธืŸ ืœืขืกืึธืฃ ื‘ืื–ื™ืจื˜ ืื•ื™ืฃ ืคึฟื•ื ืงืฆื™ืข ResourceObject.

ื‘ืึทื˜ืจืึทื›ื˜ืŸ ืจื™ืกืึธืจืกืคื•ื ืงื˜ื™ืึธืŸ:

Wolfram Function Repository: ืขืคึฟืŸ ืึทืงืกืขืก ืคึผืœืึทื˜ืคืึธืจืžืข ืคึฟืึทืจ Wolfram ืฉืคึผืจืึทืš ื™ืงืกื˜ืขื ืฉืึทื ื–

ื™ืŸ ืื™ืจ ืงืขื ืขืŸ ื–ืขืŸ ืขื˜ืœืขื›ืข ืื™ื ืคึฟืึธืจืžืึทืฆื™ืข ื ื™ืฆืŸ ื“ื™ ืคื•ื ืงืฆื™ืข ืื™ื ืคึฟืึธืจืžืึทืฆื™ืข:

Wolfram Function Repository: ืขืคึฟืŸ ืึทืงืกืขืก ืคึผืœืึทื˜ืคืึธืจืžืข ืคึฟืึทืจ Wolfram ืฉืคึผืจืึทืš ื™ืงืกื˜ืขื ืฉืึทื ื–

ื•ื•ื™ ืึทื–ื•ื™ ืึทืจื‘ืขื˜ ื‘ืึทืฉื˜ืขื˜ื™ืงืŸ ืึท ืžื™ื˜ืœ ืคื•ื ืงืฆื™ืข? ื“ื™ ืกื™ืžืคึผืœืึทืกื˜ ืื™ื™ื ืขืจ ืื™ื– ืึท ืจื™ื™ืŸ ื”ื™ื’ืข ืคืึทืœ. ื“ืึธ ืก ืึท ื‘ื™ื™ืฉืคึผื™ืœ ื•ื•ืึธืก ื ืขืžื˜ ืึท ืคึฟื•ื ืงืฆื™ืข (ืื™ืŸ ื“ืขื ืคืึทืœ ื ืึธืจ ืึท ืจื™ื™ืŸ ืคึฟื•ื ืงืฆื™ืข) ืื•ืŸ ื“ื™ืคื™ื™ื ื– ืขืก ื•ื•ื™ ืึท ืžื™ื˜ืœ ืคึฟื•ื ืงืฆื™ืข ืคึฟืึทืจ ืึท ื’ืขื’ืขื‘ืŸ ืคึผืจืึธื’ืจืึทื ืกืขืกื™ืข:

Wolfram Function Repository: ืขืคึฟืŸ ืึทืงืกืขืก ืคึผืœืึทื˜ืคืึธืจืžืข ืคึฟืึทืจ Wolfram ืฉืคึผืจืึทืš ื™ืงืกื˜ืขื ืฉืึทื ื–

ืึทืžืึธืœ ืื™ืจ ื”ืึธื‘ืŸ ื’ืขืžืื›ื˜ ื“ื™ ื“ืขืคึฟื™ื ื™ืฆื™ืข, ืื™ืจ ืงืขื ืขืŸ ื ื•ืฆืŸ ื“ื™ ืžื™ื˜ืœ ืคื•ื ืงืฆื™ืข:

Wolfram Function Repository: ืขืคึฟืŸ ืึทืงืกืขืก ืคึผืœืึทื˜ืคืึธืจืžืข ืคึฟืึทืจ Wolfram ืฉืคึผืจืึทืš ื™ืงืกื˜ืขื ืฉืึทื ื–

ื‘ืึทืžืขืจืงื•ื ื’ ืึทื– ืขืก ืื™ื– ืึท ืฉื•ื•ืึทืจืฅ ื™ื™ืงืึทืŸ ืื™ืŸ ื“ืขื ืคื•ื ืงืฆื™ืข ื‘ืœืึธื‘ Wolfram Function Repository: ืขืคึฟืŸ ืึทืงืกืขืก ืคึผืœืึทื˜ืคืึธืจืžืข ืคึฟืึทืจ Wolfram ืฉืคึผืจืึทืš ื™ืงืกื˜ืขื ืฉืึทื ื–. ื“ืขื ืžื™ื˜ืœ ืึทื– ื“ื™ BLOB ืคื•ื ืงืฆื™ืข ืจืขืคืขืจืก ืฆื• ื“ื™ ืื™ืŸ-ื–ื™ืงืึธืจืŸ ืžื™ื˜ืœ ืคื•ื ืงืฆื™ืข ื“ื™ืคื™ื™ื ื“ ืคึฟืึทืจ ื“ื™ ืงืจืึทื ื˜ ืกืขืกื™ืข. ื ืžื™ื˜ืœ ืฉื˜ืจื™ืš ื•ื•ืึธืก ืื™ื– ืคึผืขืจืžืึทื ืึทื ื˜ืœื™ ืกื˜ืึธืจื“ ืื•ื™ืฃ ื“ื™ื™ืŸ ืงืึธืžืคึผื™ื•ื˜ืขืจ ืึธื“ืขืจ ื•ื•ืึธืœืงืŸ ื—ืฉื‘ื•ืŸ ื”ืื˜ ืึท ื’ืจื•ื™ ื‘ื™ืœื“ืœ Wolfram Function Repository: ืขืคึฟืŸ ืึทืงืกืขืก ืคึผืœืึทื˜ืคืึธืจืžืข ืคึฟืึทืจ Wolfram ืฉืคึผืจืึทืš ื™ืงืกื˜ืขื ืฉืึทื ื–. ืื•ืŸ ืขืก ืื™ื– ืึท ืžืึทืจืึทื ืฅ ื™ื™ืงืึทืŸ ืคึฟืึทืจ ืึท ื‘ืึทืึทืžื˜ืขืจ ืžื™ื˜ืœ ืฉื˜ืจื™ืš ืื™ืŸ ื“ื™ Wolfram Feature Repository Wolfram Function Repository: ืขืคึฟืŸ ืึทืงืกืขืก ืคึผืœืึทื˜ืคืึธืจืžืข ืคึฟืึทืจ Wolfram ืฉืคึผืจืึทืš ื™ืงืกื˜ืขื ืฉืึทื ื–.

ืึทื–ื•ื™ ื•ื•ืึธืก ื›ืึทืคึผืึทื ื– ื•ื•ืขืŸ ืื™ืจ ื ื•ืฆืŸ ื“ื™ ืขืงืกืคึผืึทื ื“ ืžืขื ื™ื• ืื™ืŸ ื“ื™ ื“ืขืคึฟื™ื ื™ืฆื™ืข ื ืึธื•ื˜ื‘ื•ืง? ืขืจืฉื˜ืขืจ, ืขืก ื ืขืžื˜ ืึทืœืข ื“ื™ ื“ืขืคึฟื™ื ื™ืฆื™ืข ืื™ืŸ ื“ื™ ื ืึธื˜ืขืคึผืึทื“ ืื•ืŸ ืคึฟื•ืŸ ื–ื™ื™ ืงืจื™ื™ื™ืฅ ืึท ืกื™ืžื‘ืึธืœื™ืฉ ResourceObject). (ืื•ืŸ ืื•ื™ื‘ ืื™ืจ ื ื•ืฆืŸ ืึท ื˜ืขืงืกื˜-ื‘ืื–ื™ืจื˜ IDE ืึธื“ืขืจ ืคึผืจืึธื’ืจืึทื, ืื™ืจ ืงืขื ื˜ ืื•ื™ืš ืฉืึทืคึฟืŸ ResourceObject)

ืœืืงืืœืข ื“ื™ืคึผืœื•ื™ืžืึทื ื˜ ืคื•ืŸ ืึท ืคึฟื•ื ืงืฆื™ืข ืคึฟื•ืŸ ืึท ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ืื•ื™ืฃ ื“ื™ื™ืŸ ืงืึธืžืคึผื™ื•ื˜ืขืจ ืื™ื– ื“ื•ืจื›ื’ืขืงืึธื›ื˜ ืžื™ื˜ ื“ืขื ื‘ืึทืคึฟืขืœ LocalCache ืคึฟืึทืจ ืึท ืžื™ื˜ืœ ื›ื™ื™ืคืขืฅ ืฆื• ืจืึทื˜ืขื•ื•ืขืŸ ืขืก ื•ื•ื™ LocalObject ืื•ื™ืฃ ื“ื™ื™ืŸ ื˜ืขืงืข ืกื™ืกื˜ืขื. ื“ื™ืคึผืœื•ื™ืžืึทื ื˜ ืฆื• ืึท ื•ื•ืึธืœืงืŸ ื—ืฉื‘ื•ืŸ ืื™ื– ื“ื•ืจื›ื’ืขืงืึธื›ื˜ ืžื™ื˜ ื“ื™ ื‘ืึทืคึฟืขืœ CloudDeploy ืคึฟืึทืจ ืึท ืžื™ื˜ืœ ื›ื™ื™ืคืขืฅ, ืื•ืŸ ืึท ืฆื™ื‘ื•ืจ ื•ื•ืึธืœืงืŸ ื“ื™ืคึผืœื•ื™ืžืึทื ื˜ ืื™ื– CloudPublish. ืื™ืŸ ืึทืœืข ืงืึทืกืขืก ืจื™ืกืึธืจืกืจืขื’ื™ืกื˜ืขืจ ืื•ื™ืš ื’ืขื ื™ืฆื˜ ืฆื• ืจืขื’ื™ืกื˜ืจื™ืจืŸ ื“ื™ ืžื™ื˜ืœ ืคื•ื ืงืฆื™ืข ื ืึธืžืขืŸ, ืึทื–ื•ื™ ืžื™ื˜ืœ ืคึฟื•ื ืงืฆื™ืข["ื ืึธืžืขืŸ"] ื•ื•ืขื˜ ืึทืจื‘ืขื˜ืŸ.

ืื•ื™ื‘ ืื™ืจ ื’ื™ื˜ ื“ื™ ืคืึธืจืœื™ื™ื’ืŸ ืงื ืขืคึผืœ ืคึฟืึทืจ ืึท ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™, ื•ื•ืึธืก ื›ืึทืคึผืึทื ื– ืื•ื ื˜ืขืจ ืขืก ResourceSubmit ื’ืขืจื•ืคืŸ ืื•ื™ืฃ ืึท ืžื™ื˜ืœ ื›ื™ื™ืคืขืฅ. (ืื•ืŸ ืื•ื™ื‘ ืื™ืจ ื ื•ืฆืŸ ืึท ื˜ืขืงืกื˜ ืึทืจื™ื™ึทื ืฉืจื™ื™ึทื‘ ืฆื•ื‘ื™ื ื“, ืื™ืจ ืงืขื ื˜ ืื•ื™ืš ืจื•ืคืŸ ResourceSubmit ื’ืœื™ื™ึทืš.)

ื“ื•ืจืš ืคืขืœื™ืงื™ื™ึทื˜, ืกืึทื‘ืžื™ืฉืึทื ื– ื–ืขื ืขืŸ ื’ืขืžืื›ื˜ ืื•ื ื˜ืขืจ ื“ื™ ื ืึธืžืขืŸ ืคึฟืึทืจื‘ื•ื ื“ืŸ ืžื™ื˜ ื“ื™ื™ืŸ Wolfram ID. ืึธื‘ืขืจ ืื•ื™ื‘ ืื™ืจ ืคืึธืจืœื™ื™ื’ืŸ ืึท ืึทืคึผืœืึทืงื™ื™ืฉืึทืŸ ืื•ื™ืฃ ื‘ื™ื›ืึทืฃ ืคื•ืŸ ืึท ืึทื ื˜ื•ื•ื™ืงืœื•ื ื’ ืžืึทื ืฉืึทืคึฟื˜ ืึธื“ืขืจ ืึธืจื’ืึทื ื™ื–ืึทืฆื™ืข, ืื™ืจ ืงืขื ืขืŸ ืฉื˜ืขืœืŸ ื‘ืึทื–ื•ื ื“ืขืจ ืึทืจื•ื™ืกื’ืขื‘ืขืจ ืฉื™ื™ึทืŸ ืื•ืŸ ืึทื ืฉื˜ืึธื˜ ื ื•ืฆืŸ ืขืก ื•ื•ื™ ื“ื™ ื ืึธืžืขืŸ ืฆื• ื™ื ื˜ืขืจืึทืงื˜ ืžื™ื˜ ื“ื™ื™ืŸ ืžื™ื™ื ื•ื ื’ืขืŸ.

ื ืึธืš ืื™ืจ ื”ืึธื˜ ื“ืขืจืœืื ื’ื˜ ืงื™ื™ืŸ ืคื•ืŸ ื“ื™ื™ืŸ ืคืึทื ื’ืงืฉืึทื ื– ืฆื• ื“ื™ ืคื•ื ืงืฆื™ืข ื•ื•ื™ืกืŸ ื‘ืึทื–ืข, ืขืก ื•ื•ืขื˜ ื–ื™ื™ืŸ ืจื™ื•ื•ื™ื•ื“ ืคึฟืึทืจ ืึธืคึผืฉืึทืฆื•ื ื’. ืื•ื™ื‘ ืื™ืจ ื‘ืึทืงื•ืžืขืŸ ื‘ืึทืžืขืจืงื•ื ื’ืขืŸ ืื™ืŸ ืขื ื˜ืคืขืจ, ื–ื™ื™ ื•ื•ืขืœืŸ ื™ื•ื–ืฉืึทื•ื•ืึทืœื™ ื–ื™ื™ืŸ ืื™ืŸ ื“ื™ ืคืึธืจืขื ืคื•ืŸ ืึท ื˜ืขืงืกื˜ ื˜ืขืงืข ืžื™ื˜ ื ืึธืš "ืงืึธืžืขื ื˜ืึทืจ ืกืขืœื–" ืฆื•ื’ืขื’ืขื‘ืŸ. ืื™ืจ ืงืขื ื˜ ืฉื˜ืขื ื“ื™ืง ืงืึธื ื˜ืจืึธืœื™ืจืŸ ื“ื™ ืกื˜ืึทื˜ื•ืก ืคื•ืŸ ื“ื™ื™ืŸ ืึทืคึผืœืึทืงื™ื™ืฉืึทืŸ ื“ื•ืจืš ื‘ืึทื–ื•ื›ืŸ ืžื™ื˜ืœ ืกื™ืกื˜ืขื ืžื™ื˜ื’ืœื™ื“ ื˜ื•ื™ืขืจ. ืึธื‘ืขืจ ืึทืžืึธืœ ื“ื™ื™ืŸ ืฉื˜ืจื™ืš ืื™ื– ื‘ืื•ื•ื™ืœื™ืงื˜, ืื™ืจ ื•ื•ืขื˜ ื–ื™ื™ืŸ ื ืึธื•ื˜ืึทืคื™ื™ื“ (ื“ื•ืจืš ื‘ืœื™ืฆืคึผืึธืกื˜) ืื•ืŸ ื“ื™ื™ืŸ ืฉื˜ืจื™ืš ื•ื•ืขื˜ ื–ื™ื™ืŸ ืึทืจื™ื™ึทื ื’ืขืฉื™ืงื˜ ืฆื• ื“ื™ Wolfram ืฉื˜ืจื™ืš ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™.

ืขื˜ืœืขื›ืข ืกืึทื˜ืึทืœื˜ื™ื– ืื™ืŸ ืึทืจื‘ืขื˜

ืื™ืŸ ืขืจืฉื˜ืขืจ ื‘ืœื™ืง ืขืก ืงืขืŸ ื•ื™ืกืงื•ืžืขืŸ ื•ื•ื™ ืื™ืจ ืงืขื ืขืŸ ื ืึธืจ ื ืขืžืขืŸ ืึท ื“ืขืคึฟื™ื ื™ืฆื™ืข ื”ืขืคื˜ ืื•ืŸ ืฉื˜ืขืœืŸ ืขืก ื•ื•ืขืจื‘ืึทื˜ื™ื ืื™ืŸ ืึท ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™, ืึธื‘ืขืจ, ืขืก ื–ืขื ืขืŸ ืึทืงืฉืœื™ ืึท ืคึผืœืึทืฅ ืคื•ืŸ ืกืึทื˜ืึทืœื˜ื™ื– ื™ื ื•ื•ืึทืœื•ื•ื“ - ืื•ืŸ ื“ื™ ื”ืึทื ื“ืœื™ื ื’ ืคื•ืŸ ื–ื™ื™ ืจื™ืงื•ื•ื™ื™ืขืจื– ืึท ืฉื™ื™ืŸ ืงืึธืžืคึผืœืขืงืก ืžืขื˜ืึท-ืคึผืจืึธื’ืจืึทืžืžื™ื ื’, ื”ืึทื ื“ืœื™ื ื’ ืžื™ื˜ ืกื™ืžื‘ืึธืœื™ืฉ ืคึผืจืึทืกืขืกื™ื ื’. ื•ื•ื™ ื“ืขืจ ืงืึธื“ ื•ื•ืึธืก ื“ื™ืคื™ื™ื ื– ื“ื™ ืคึฟื•ื ืงืฆื™ืข, ืื•ืŸ ื“ื™ ื ืึธื˜ืขืคึผืึทื“ ื–ื™ืš ืื™ื– ื“ื™ืคื™ื™ื ื“. ืจื•ื‘ึฟ ืคื•ืŸ ื“ืขื ื›ืึทืคึผืึทื ื– ื™ื ืขื•ื•ื™ื™ื ื™ืง, ื”ื™ื ื˜ืขืจ ื“ื™ ืกื™ื ื–, ืึธื‘ืขืจ ืขืก ืงืขืŸ ื”ืึธื‘ืŸ ืขื˜ืœืขื›ืข ื™ืžืคึผืœืึทืงื™ื™ืฉืึทื ื– ื•ื•ืึธืก ื–ืขื ืขืŸ ื•ื•ืขืจื˜ ืคืืจืฉื˜ืื ื“ ืื•ื™ื‘ ืื™ืจ ื•ื•ืขื˜ ื‘ื™ื™ืฉื˜ื™ื™ืขืจืŸ ืฆื• ื“ืขืจ ืฉื˜ืจื™ืš ื•ื•ื™ืกืŸ ื‘ืึทื–ืข.

ืขืจืฉื˜ืขืจ ื’ืœื™ื™ืš ืกืึทื˜ืึทืœื˜ื™: ื•ื•ืขืŸ ืื™ืจ ืคึผืœืึธืžื‘ื™ืจืŸ ื“ื™ ื“ืขืคื™ื ื™ื˜ื™ืึธืŸ ื ืึธื•ื˜ื‘ื•ืง, ืื™ืจ ืงืขื ืขืŸ ืคืฉื•ื˜ ืึธืคึผืฉื™ืงืŸ ืฆื• ื“ื™ื™ืŸ ืคื•ื ืงืฆื™ืข ืื•ืžืขื˜ื•ื ืžื™ื˜ ืึท ื ืึธืžืขืŸ ื•ื•ื™ MyFunction, ื•ื•ืึธืก ืงื•ืงื˜ ื•ื•ื™ ืึท ืจืขื’ื•ืœืขืจ ื ืึธืžืขืŸ ืคึฟืึทืจ ืึท ืคึฟื•ื ืงืฆื™ืข ืื™ืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš, ืึธื‘ืขืจ ืคึฟืึทืจ ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ื“ืึทืงื™ื•ืžืขื ื˜ื™ื™ืฉืึทืŸ, ื“ืึธืก ืื™ื– ืจื™ืคึผืœื™ื™ืกื˜ ืžื™ื˜ืœ ืคึฟื•ื ืงืฆื™ืข["ืžื™ื™ืคื•ื ืงื˜ื™ืึธืŸ"] ืื™ื– ื•ื•ืึธืก ื ื™ืฆืขืจืก ื•ื•ืขืœืŸ ืึทืงืฉืœื™ ื ื•ืฆืŸ ื•ื•ืขืŸ ื–ื™ื™ ืึทืจื‘ืขื˜ืŸ ืžื™ื˜ ื“ื™ ืคื•ื ืงืฆื™ืข.

ื“ื™ ืจื’ืข ืกืึทื˜ืึทืœื˜ื™: ื•ื•ืขืŸ ืื™ืจ ืฉืึทืคึฟืŸ ืึท ืžื™ื˜ืœ ืคื•ื ืงืฆื™ืข ืคึฟื•ืŸ ื“ื™ ื“ืขืคึฟื™ื ื™ืฆื™ืข ื ืึธื•ื˜ื‘ื•ืง, ืึทืœืข ื“ื™ืคึผืขื ื“ืึทื ืกื™ื– ื™ื ื•ื•ืึทืœื•ื•ื“ ืื™ืŸ ื“ื™ ืคื•ื ืงืฆื™ืข ื“ืขืคึฟื™ื ื™ืฆื™ืข ืžื•ื–ืŸ ื–ื™ื™ืŸ ืงืึทืคึผื˜ืฉืขืจื“ ืื•ืŸ ื‘ืคื™ืจื•ืฉ ื™ื ืงืœื•ื“ืขื“. ืึธื‘ืขืจ, ืฆื• ืขื ืฉื•ืจ ืึทื– ื“ื™ ื“ืขืคึฟื™ื ื™ืฆื™ืข ื‘ืœื™ื™ื‘ืŸ ืžืึทื“ื–ืฉืึทืœืขืจ, ืื™ืจ ื“ืึทืจืคึฟืŸ ืฆื• ืฉื˜ืขืœืŸ ืึทืœืฅ ืื™ืŸ ืึท ื™ื™ื ืฆื™ืง ื ืึธืžืขืŸ ืคึผืœืึทืฅ. (ื–ื™ื›ืขืจ, ืคืึทื ื’ืงืฉืึทื ื– ื•ื•ืึธืก ื˜ืึธืŸ ื“ืึธืก ืึทืœืข, ื–ืขื ืขืŸ ืื™ืŸ ื“ื™ ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™.)

ื˜ื™ืคึผื™ืงืึทืœืœื™ ืื™ืจ ื•ื•ืขื˜ ืงื™ื™ื ืžืึธืœ ื–ืขืŸ ืงื™ื™ืŸ ืฉืคึผื•ืจ ืคื•ืŸ ื“ื™ ืงืึธื“ ื’ืขื ื™ืฆื˜ ืฆื• ืงืึทื ืคื™ื’ื™ืขืจ ื“ืขื ื ืึทืžืขืกืคึผืึทืกืข. ืึธื‘ืขืจ ืื•ื™ื‘ ืคึฟืึทืจ ืขื˜ืœืขื›ืข ืกื™ื‘ื” ืื™ืจ ืจื•ืคืŸ ืึทืŸ ืื•ื ื˜ืขืจ-ืขืงืกืึทืงื™ื•ื˜ืึทื“ ืกื™ืžื‘ืึธืœ ืื™ืŸ ื“ื™ื™ืŸ ืคึฟื•ื ืงืฆื™ืข, ืื™ืจ ื•ื•ืขื˜ ื–ืขืŸ ืึทื– ื“ืขืจ ืกื™ืžื‘ืึธืœ ืื™ื– ืื™ืŸ ื“ื™ ื™ื ืขืจืœืขืš ืงืึธื ื˜ืขืงืกื˜ ืคื•ืŸ ื“ื™ ืคึฟื•ื ืงืฆื™ืข. ืึธื‘ืขืจ, ื•ื•ืขืŸ ืคึผืจืึทืกืขืกื™ื ื’ ื“ื™ ื“ืขืคึฟื™ื ื™ืฆื™ืข ื ืึธื˜ืขืคึผืึทื“, ืื™ืŸ ืžื™ื ื“ืกื˜ืขืจ ื“ืขืจ ืกื™ืžื‘ืึธืœ ืงืึธืจืึทืกืคึผืึทื ื“ื™ื ื’ ืฆื• ื“ื™ ืคึฟื•ื ืงืฆื™ืข ื–ื™ืš ืื™ื– ืึทื“ื–ืฉืึทืกื˜ืึทื‘ืึทืœ ืคึฟืึทืจ ื‘ืขืกื˜ืขืจ ืึทืจื•ื™ืกื•ื•ื™ื™ึทื–ืŸ ื•ื•ื™ ืึท ืคืึทื ื’ืงืฉืึทื ืึทืœ ื‘ืœืึธื‘ ืืœื ื•ื•ื™ ืึท ืจื•ื™ ื›ืึทืจืึทืงื˜ืขืจ ืื™ืŸ ื“ื™ ื™ื ืขืจืœืขืš ืงืึธื ื˜ืขืงืกื˜.

ื“ื™ ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ืื™ื– ืคึฟืึทืจ ื“ื™ืคื™ื™ื ื™ื ื’ ื ื™ื™ึท ืคืึทื ื’ืงืฉืึทื ื–. ืื•ืŸ ื“ื™ ืคืึทื ื’ืงืฉืึทื ื– ืงืขืŸ ื”ืึธื‘ืŸ ืึธืคึผืฆื™ืขืก. ืึธืคื˜ ื“ื™ ืคึผืึทืจืึทืžืขื˜ืขืจืก (ืœืžืฉืœ, ืžืขื˜ืึธื“ ืึธื“ืขืจ ื‘ื™ืœื“ ื’ืจื™ื™ืก) ื•ื•ืขื˜ ืงืขื ืขืŸ ืฆื• ื–ื™ื™ืŸ ื’ืขื ื•ืฆื˜ ืคึฟืึทืจ ื’ืขื‘ื•ื™ื˜-ืื™ืŸ ืคืึทื ื’ืงืฉืึทื ื–, ื•ื•ื™ ื’ืขื–ื•ื ื˜ ื•ื•ื™ ืคึฟืึทืจ ื“ื™ ื•ื•ืึธืก ืขืก ื–ืขื ืขืŸ ืฉื•ื™ืŸ ื’ืขื‘ื•ื™ื˜-ืื™ืŸ ืกื™ืžื‘ืึธืœืก. ืื‘ืขืจ ืžืืœ ืึท ื ื™ื™ึทืข ืฉื˜ืจื™ืš ืงืขืŸ ื“ืึทืจืคืŸ ื ื™ื™ึทืข ืึธืคึผืฆื™ืขืก. ืื™ืŸ ืกื“ืจ ืฆื• ื”ืึทืœื˜ืŸ ืžืึทื“ื–ืฉืึทืœืขืจืึทื˜ื™, ื“ื™ ืคึผืึทืจืึทืžืขื˜ืขืจืก ื“ืึทืจืคึฟืŸ ืฆื• ื–ื™ื™ืŸ ืกื™ืžื‘ืึธืœืก ื“ื™ืคื™ื™ื ื“ ืื™ืŸ ืึท ื™ื™ื ืฆื™ืง ื™ื ืขืจืœืขืš ืงืึธื ื˜ืขืงืกื˜ (ืึธื“ืขืจ ืขืคึผืขืก ื•ื•ื™ ื’ืึทื ืฅ ืžื™ื˜ืœ ืคืึทื ื’ืงืฉืึทื ื–, ื“ืึธืก ืื™ื– ื–ื™ืš). ืคึฟืึทืจ ืคึผืึทืฉื˜ืขืก, ื“ื™ ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ืึทืœืึทื•ื– ืื™ืจ ืฆื• ื“ืขืคื™ื ื™ืจืŸ ื ื™ื™ึทืข ืึธืคึผืฆื™ืขืก ืื™ืŸ ืฉื˜ืจื™ืงืœ ื–ื•ืš. ืื•ืŸ ืคึฟืึทืจ ื“ื™ ืงืึทื ื•ื•ื™ื ื™ืึทื ืก ืคื•ืŸ ื“ื™ ื‘ืึทื ื™ืฆืขืจ, ื“ื™ ื“ืขืคึฟื™ื ื™ืฆื™ืขืก (ืึทืกื•ืžื™ื ื’ ื–ื™ื™ ื’ืขื•ื•ื™ื™ื ื˜ OptionValue ะธ ืึธืคึผืฆื™ืขืก ืžื•ืกื˜ืขืจ) ื–ืขื ืขืŸ ืื•ื™ืš ืคึผืจืึทืกืขืกื˜ ืึทื–ื•ื™ ืึทื– ื•ื•ืขืŸ ื ื™ืฆืŸ ืคืึทื ื’ืงืฉืึทื ื–, ืคึผืึทืจืึทืžืขื˜ืขืจืก ืงืขื ืขืŸ ื–ื™ื™ืŸ ืกืคึผืขืกื™ืคื™ืขื“ ื ื™ื˜ ื‘ืœื•ื™ื– ื•ื•ื™ ืกื˜ืจื™ื ื’ืก, ืึธื‘ืขืจ ืื•ื™ืš ื•ื•ื™ ื’ืœืื‘ืืœืข ืกื™ืžื‘ืึธืœืก ืžื™ื˜ ื“ื™ ื–ืขืœื‘ืข ื ืขืžืขืŸ.

ืจื•ื‘ึฟ ืคืึทื ื’ืงืฉืึทื ื– ืคืฉื•ื˜ ื˜ืึธืŸ ื•ื•ืึธืก ื–ื™ื™ ื–ืขื ืขืŸ ื’ืขืžื™ื™ื ื˜ ืฆื• ื˜ืึธืŸ ื™ืขื“ืขืจ ืžืึธืœ ื–ื™ื™ ื–ืขื ืขืŸ ื’ืขืจื•ืคืŸ, ืึธื‘ืขืจ ืขื˜ืœืขื›ืข ืคืึทื ื’ืงืฉืึทื ื– ื“ืึทืจืคึฟืŸ ืฆื• ื–ื™ื™ืŸ ื™ื ื™ื˜ื™ืึทืœื™ื™ื–ื“ ืื™ื™ื“ืขืจ ื–ื™ื™ ืงืขื ืขืŸ ืœื•ื™ืคืŸ ืื™ืŸ ืึท ื‘ืึทื–ื•ื ื“ืขืจ ืกืขืกื™ืข - ืื•ืŸ ืฆื• ืกืึธืœื•ื•ืข ื“ืขื ืคึผืจืึธื‘ืœืขื, ืขืก ืื™ื– ืึทืŸ "ื™ื ื™ื˜ื™ืึทืœื™ื–ืึทื˜ื™ืึธืŸ" ืึธืคึผื˜ื™ื™ืœื•ื ื’ ืื™ืŸ ื“ื™ ื“ืขืคึฟื™ื ื™ืฆื™ืข ืึธืคึผื˜ื™ื™ืœื•ื ื’.

ืคืึทื ื’ืงืฉืึทื ื– ืคื•ืŸ ืึท ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ืงืขื ืขืŸ ื ื•ืฆืŸ ืื ื“ืขืจืข ืคืึทื ื’ืงืฉืึทื ื– ื•ื•ืึธืก ื–ืขื ืขืŸ ืฉื•ื™ืŸ ืื™ืŸ ื“ื™ ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™; ืื™ืŸ ืกื“ืจ ืฆื• ืฉื˜ืขืœืŸ ืึทืจื•ื™ืฃ ื“ืขืคึฟื™ื ื™ืฆื™ืข ืคึฟืึทืจ ืึท ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ื•ื•ืึธืก ืึทืจื™ื™ึทื ื ืขืžืขืŸ ืฆื•ื•ื™ื™ (ืึธื“ืขืจ ืžืขืจ) ืคืึทื ื’ืงืฉืึทื ื– ื•ื•ืึธืก ืจืขืคึฟืขืจืขื ืฅ ื™ืขื“ืขืจ ืื ื“ืขืจืขืจ, โ€‹โ€‹ืื™ืจ ืžื•ื–ืŸ ืฆืขื•ื•ื™ืงืœืขืŸ ื–ื™ื™ ืื™ืŸ ื“ื™ื™ืŸ ืคึผืจืึธื’ืจืึทื ืกืขืกื™ืข ืึทื–ื•ื™ ืึทื– ืื™ืจ ืงืขื ืขืŸ. ื“ืขืจืžืึธื ืขืŸ ื•ื•ื™ ืื•ื™ืฃ ื–ื™ื™ ืžื™ื˜ืœ ืคึฟื•ื ืงืฆื™ืข["ื ืึธืžืขืŸ"], ื“ืขืžืึธืœื˜ ืื™ืจ ืงืขื ืขืŸ ืžืึทื›ืŸ ื“ื™ ืงืึทืžื‘ืึทื ื™ื™ืฉืึทื ื– ืคื•ืŸ ื“ื™ ืคืึทื ื’ืงืฉืึทื ื– ืื™ืจ ื“ืึทืจืคึฟืŸ, ื‘ื™ื™ืฉืคื™ืœืŸ (ืื™ืš ื”ืื˜ ื ื™ื˜ ืคึฟืึทืจืฉื˜ื™ื™ืŸ) ืื•ืŸ ืœื™ื™ื’ืŸ ืึท ื ื™ื™ึทืข ืคื•ื ืงืฆื™ืข ืฆื• ื“ื™ ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ื‘ืื–ื™ืจื˜ ืื•ื™ืฃ ื“ื™ ืฉื•ื™ืŸ ืึทืจื™ื™ึทื ื’ืขืฉื™ืงื˜ ืคืจื™ืขืจ. (ืึธื“ืขืจ ืฉื•ื™ืŸ ืึธื“ืขืจ ืคืจื™ืขืจ - ื‘ื™ื™ื“ืข ื•ื•ืขืจื˜ืขืจ ื–ืขื ืขืŸ ืœืขืคึผื™ืฉ)

ืึทื ื˜ื•ื•ื™ืงืœื•ื ื’ ืคึผืจืึทืกืคึผืขืงืก. ื•ื•ืึธืก ื–ืึธืœ ืคึผืึทืกื™ืจืŸ ื•ื•ืขืŸ ื“ื™ ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ื•ื•ืขืจื˜ ื˜ืึทืงืข ื’ืจื•ื™ืก?

ื”ื™ื™ึทื ื˜ ืžื™ืจ ื–ืขื ืขืŸ ืคึผื•ื ืงื˜ ืœืึธื ื˜ืฉื™ื ื’ ื“ื™ Wolfram Feature Repository, ืึธื‘ืขืจ ืžื™ื˜ ืฆื™ื™ื˜ ืžื™ืจ ื“ืขืจื•ื•ืึทืจื˜ืŸ ืึทื– ื–ื™ื™ืŸ ื’ืจื™ื™ืก ืื•ืŸ ืคืึทื ื’ืงืฉืึทื ืึทืœื™ื˜ื™ ืงืขืŸ ืคืึทืจื’ืจืขืกืขืจืŸ ื“ืจืึทืžืึทื˜ื™ืงืœื™, ืื•ืŸ ื•ื•ืขืŸ ืขืก ื•ื•ืืงืกื˜ ืื™ืŸ ืึทื ื˜ื•ื•ื™ืงืœื•ื ื’, ืขืก ื•ื•ืขื˜ ื–ื™ื™ืŸ ืคืึทืจืฉื™ื“ืŸ ืคึผืจืึธื‘ืœืขืžืก ื•ื•ืึธืก ืžื™ืจ ืฉื•ื™ืŸ ื“ืขืจื•ื•ืึทืจื˜ืŸ ืงืขืŸ ืื•ื™ืคืฉื˜ื™ื™ืŸ.

ื“ืขืจ ืขืจืฉื˜ืขืจ ืคึผืจืึธื‘ืœืขื ืงืึทื ืกืขืจื ื– ืคึฟื•ื ืงืฆื™ืข ื ืขืžืขืŸ ืื•ืŸ ื–ื™ื™ืขืจ ืื™ื™ื’ื ืืจื˜ื™ืงื™ื™ื˜. ื“ื™ ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ืื™ื– ื“ื™ื–ื™ื™ื ื“ ืื™ืŸ ืึทื–ืึท ืึท ื•ื•ืขื’ ืึทื–, ื•ื•ื™ ื“ื™ ื’ืขื‘ื•ื™ื˜-ืื™ืŸ ืคืึทื ื’ืงืฉืึทื ื– ืื™ืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš, ืื™ืจ ืงืขื ืขืŸ ื“ืขืจืžืึธื ืขืŸ ืงื™ื™ืŸ ื’ืขื’ืขื‘ืŸ ืคื•ื ืงืฆื™ืข ืคืฉื•ื˜ ื“ื•ืจืš ืกืคึผืขืฆื™ืคื™ืฆื™ืจืŸ ื–ื™ื™ืŸ ื ืึธืžืขืŸ. ืึธื‘ืขืจ ื“ืึธืก ื™ื ืขื•ื•ืึทื˜ืึทื‘ืœื™ ืžื™ื˜ืœ ืึทื– ืคึฟื•ื ืงืฆื™ืข ื ืขืžืขืŸ ืžื•ื–ืŸ ื–ื™ื™ืŸ ื’ืœืึธื•ื‘ืึทืœื™ ื™ื™ื ืฆื™ืง ืึทืจื™ื‘ืขืจ ื“ื™ ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™, ืึทื–ื•ื™ ืึทื–, ืœืžืฉืœ, ืขืก ืงืขืŸ ื–ื™ื™ืŸ ื‘ืœื•ื™ื– ืื™ื™ืŸ ืžื™ื˜ืœ ืคึฟื•ื ืงืฆื™ืข["MyFavoriteFunction"].

ื“ืึธืก ืงืขืŸ ื•ื™ืกืงื•ืžืขืŸ ื•ื•ื™ ืึท ื’ืจื•ื™ืก ืคึผืจืึธื‘ืœืขื ืื™ืŸ ืขืจืฉื˜ืขืจ, ืึธื‘ืขืจ ืขืก ืื™ื– ื•ื•ืขืจื˜ ืฆื• ืคืึทืจืฉื˜ื™ื™ืŸ ืึทื– ื“ืึธืก ืื™ื– ื‘ื™ื™ืกื™ืงืœื™ ื“ื™ ื–ืขืœื‘ืข ืคึผืจืึธื‘ืœืขื ื•ื•ื™ ืคึฟืึทืจ ื–ืื›ืŸ ื•ื•ื™ ืื™ื ื˜ืขืจื ืขื˜ ื“ืึธื•ืžื™ื™ื ื– ืึธื“ืขืจ ื’ืขื–ืขืœืฉืึทืคื˜ืœืขืš ืžื™ื“ื™ืึท ื›ืึทื ื“ืึทืœื–. ืื•ืŸ ื“ืขืจ ืคืึทืงื˜ ืื™ื– ืึทื– ื“ื™ ืกื™ืกื˜ืขื ื“ืึทืจืฃ ื ืึธืจ ื”ืึธื‘ืŸ ืึท ืจืขื’ื™ืกื˜ืจืึทื˜ืึธืจ - ืื•ืŸ ื“ืึธืก ืื™ื– ืื™ื™ื ืขืจ ืคื•ืŸ ื“ื™ ืจืึธืœืขืก ื•ื•ืึธืก ืื•ื ื“ื–ืขืจ ืคื™ืจืžืข ื•ื•ืขื˜ ื“ื•ืจื›ืคื™ืจืŸ ืคึฟืึทืจ ื“ื™ Wolfram ืคื•ื ืงืฆื™ืข ื•ื•ื™ืกืŸ ื‘ืึทื–ืข. (ืคึฟืึทืจ ืคึผืจื™ื•ื•ืึทื˜ืข ื•ื•ืขืจืกื™ืขืก ืคื•ืŸ ืึท ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™, ื–ื™ื™ืขืจ ืจืขื’ื™ืกื˜ืจืึทื˜ืึธืจืก ืงืขื ืขืŸ ื–ื™ื™ืŸ ืึทื“ืžื™ื ื™ืกื˜ืจืึทื˜ืึธืจืก.) ืคื•ืŸ ืงื•ืจืก, ืึทืŸ ืื™ื ื˜ืขืจื ืขืฅ ืคืขืœื“ ืงืขื ืขืŸ ื–ื™ื™ืŸ ืจืขื’ื™ืกื˜ืจื™ืจื˜ ืึธืŸ ืงื™ื™ืŸ ืขืคึผืขืก ืื•ื™ืฃ ืขืก, ืึธื‘ืขืจ ืื™ืŸ ืึท ืคึฟื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™, ืึท ืคึฟื•ื ืงืฆื™ืข ื ืึธืžืขืŸ ืงืขื ืขืŸ ื–ื™ื™ืŸ ืจืขื’ื™ืกื˜ืจื™ืจื˜ ื‘ืœื•ื™ื– ืื•ื™ื‘ ืขืก ืื™ื– ืึทืŸ ืคืึทืงื˜ื™ืฉ ื“ืขืคึฟื™ื ื™ืฆื™ืข ืคื•ืŸ ื“ื™ ืคึฟื•ื ืงืฆื™ืข.

ื˜ื™ื™ืœ ืคื•ืŸ ืื•ื ื“ื–ืขืจ ืจืึธืœืข ืื™ืŸ ืึธื ืคื™ืจื•ื ื’ ื“ื™ Wolfram ืคื•ื ืงืฆื™ืข ื•ื•ื™ืกืŸ ื‘ืึทื–ืข ืื™ื– ืฆื• ืขื ืฉื•ืจ ืึทื– ื“ืขืจ ื ืึธืžืขืŸ ืื•ื™ืกื“ืขืจื•ื•ื™ื™ืœื˜ ืคึฟืึทืจ ืึท ืคึฟื•ื ืงืฆื™ืข ืื™ื– ืœืึทื“ื–ืฉื™ืงืึทืœ ื•ื•ื™ื™ึทืœ ืคื•ืŸ ื“ื™ ื“ืขืคึฟื™ื ื™ืฆื™ืข ืคื•ืŸ โ€‹โ€‹ื“ื™ ืคึฟื•ื ืงืฆื™ืข ืื•ืŸ ืึทื– ืขืก ื’ื™ื™ื˜ ืœื•ื™ื˜ Wolfram ืฉืคึผืจืึทืš ื ืึทืžื™ื ื’ ืงืึทื ื•ื•ืขื ืฉืึทื ื–. ืžื™ืจ ื”ืึธื‘ืŸ ืื™ื‘ืขืจ 30 ื™ืึธืจ ื“ืขืจืคืึทืจื•ื ื’ ืžื™ื˜ ื“ื™ ื ืึธืžืขืŸ ืคื•ืŸ ื’ืขื‘ื•ื™ื˜-ืื™ืŸ ืคืึทื ื’ืงืฉืึทื ื– ืื™ืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš, ืื•ืŸ ืื•ื ื“ื–ืขืจ ืžืึทื ืฉืึทืคึฟื˜ ืคื•ืŸ ืงื•ืจืึทื˜ืึธืจืก ื•ื•ืขื˜ ืื•ื™ืš ื‘ืจืขื ื’ืขืŸ ื“ื™ ื“ืขืจืคืึทืจื•ื ื’ ืฆื• ื“ื™ ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™. ืคื•ืŸ ืงื•ืจืก, ืขืก ื–ืขื ืขืŸ ืฉื˜ืขื ื“ื™ืง ืื•ื™ืกื ืขืžืขืŸ. ืฆื•ื ื‘ื™ื™ืฉืคึผื™ืœ, ืขืก ืงืขืŸ ื–ื™ื™ืŸ ื‘ืขืกืขืจ ืฆื• ื”ืึธื‘ืŸ ืึท ืงื•ืจืฅ ื ืึธืžืขืŸ ืคึฟืึทืจ ืขื˜ืœืขื›ืข ืคึฟื•ื ืงืฆื™ืข, ืึธื‘ืขืจ ืขืก ืื™ื– ื‘ืขืกืขืจ ืฆื• "ืคืึทืจื˜ื™ื™ื“ื™ืงืŸ" ืžื™ื˜ ืึท ืžืขืจ, ืžืขืจ ืกืคึผืขืฆื™ืคื™ืฉ ื ืึธืžืขืŸ ื•ื•ื™ื™ึทืœ ืื™ืจ ื–ืขื ื˜ ื•ื•ื™ื™ื ื™ืงืขืจ ืžืกืชึผืžื ืฆื• ืœื•ื™ืคืŸ ืื™ืŸ ืขืžืขืฆืขืจ ื•ื•ืืก ื•ื•ื™ืœืŸ ืฆื• ืžืึทื›ืŸ ืึท ืขื ืœืขืš ืคึฟื•ื ืงืฆื™ืข ื ืึธืžืขืŸ ืื™ืŸ ื“ืขืจ ืฆื•ืงื•ื ืคึฟื˜ .

(ืขืก ื–ืึธืœ ื–ื™ื™ืŸ ื‘ืืžืขืจืงื˜ ื“ืึธ ืึทื– ืคืฉื•ื˜ ืึทื“ื™ื ื’ ืขื˜ืœืขื›ืข ืžื™ื˜ื’ืœื™ื“ ืงื•ื•ื™ื˜ืœ ืฆื• ื“ื™ืกืึทืžื‘ื™ื’ื™ื•ื™ื™ื˜ ืคืึทื ื’ืงืฉืึทื ื– ื•ื•ืขื˜ ื ื™ืฉื˜ ื”ืึธื‘ืŸ ื“ื™ ื‘ื“ืขื” ื•ื•ื™ืจืงื•ื ื’. ื•ื•ื™ื™ึทืœ ืื•ื™ื‘ ืื™ืจ ื‘ืึทืฉื˜ื™ื™ืŸ ืื•ื™ืฃ ืฉื˜ืขื ื“ื™ืง ืึทืกื™ื™ื ื™ื ื’ ืึท ืงื•ื•ื™ื˜ืœ, ืื™ืจ ื•ื•ืขื˜ ื“ืึทืจืคึฟืŸ ืฆื• ื“ืขืคื™ื ื™ืจืŸ ืึท ืคืขืœื™ืงื™ื™ึทื˜ ืงื•ื•ื™ื˜ืœ ืคึฟืึทืจ ืงื™ื™ืŸ ื’ืขื’ืขื‘ืŸ ืคึฟื•ื ืงืฆื™ืข, ืื•ืŸ ืื•ื™ืš ืฆื•ื˜ื™ื™ืœืŸ ืžื—ื‘ืจ ื˜ืึทื’ืก , ื•ื•ืึธืก ื•ื•ื™ื“ืขืจ ื•ื•ืึธืœื˜ ื“ืึทืจืคืŸ ื’ืœืื‘ืืœืข ืงืึธื•ืึธืจื“ืึทื ื™ื™ืฉืึทืŸ.)

ื•ื•ืขืŸ ื“ื™ ื•ื•ื™ืกืŸ ื‘ืึทื–ืข ืคื•ืŸ โ€‹โ€‹Wolfram ืคืึทื ื’ืงืฉืึทื ื– ื•ื•ืืงืกื˜, ืื™ื™ื ืขืจ ืคื•ืŸ ื“ื™ ืคืจืื‘ืœืขืžืขืŸ ื•ื•ืึธืก ื•ื•ืขื˜ ืžืกืชึผืžื ืื•ื™ืคืฉื˜ื™ื™ืŸ ืื™ื– ื“ื™ ื“ื™ืกืงืึทื•ื•ืขืจืึทื‘ื™ืœื™ื˜ื™ ืคื•ืŸ ืคืึทื ื’ืงืฉืึทื ื–, ืคึฟืึทืจ ื•ื•ืึธืก ื“ื™ ืกื™ืกื˜ืขื ื’ื™ื˜ ื–ื•ื›ืŸ ืคึฟื•ื ืงืฆื™ืข (ืื•ืŸ ื“ืขืคึฟื™ื ื™ืฆื™ืข ื˜ืขืงืขืก ืงืขื ืขืŸ ืึทืจื™ื™ึทื ื ืขืžืขืŸ ื˜ืขืจืžื™ื ืขืŸ, ืืื–"ื• ื•). ืคึฟืึทืจ ื’ืขื‘ื•ื™ื˜-ืื™ืŸ ืคืึทื ื’ืงืฉืึทื ื– ืื™ืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš, ืขืก ื–ืขื ืขืŸ ืึทืœืข ืกืึธืจืฅ ืคื•ืŸ ืงืจื™ื™ึทื–-ืจืขืคืขืจืขื ืฆืŸ ืื™ืŸ ื“ื™ ื“ืึทืงื™ื•ืžืขื ื˜ื™ื™ืฉืึทืŸ ืฆื• ื”ืขืœืคืŸ "ืžืขืœื“ืŸ" ื“ื™ ืคืึทื ื’ืงืฉืึทื ื–. ืคืึทื ื’ืงืฉืึทื ื– ืื™ืŸ ืึท ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ืงืขื ืขืŸ ื“ืขืจืžืึธื ืขืŸ ื’ืขื‘ื•ื™ื˜-ืื™ืŸ ืคืึทื ื’ืงืฉืึทื ื–. ืื‘ืขืจ ื•ื•ืึธืก ื•ื•ืขื’ืŸ ื“ื™ ืื ื“ืขืจืข ื•ื•ืขื’ ืึทืจื•ื? ืฆื• ื˜ืึธืŸ ื“ืึธืก, ืžื™ืจ ื•ื•ืขืœืŸ ืขืงืกืคึผืขืจื™ืžืขื ื˜ ืžื™ื˜ ืคืึทืจืฉื™ื“ืขื ืข ื“ื™ื–ื™ื™ื ื– ืฆื• ื•ื™ืกืฉื˜ืขืœืŸ ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ืคืึทื ื’ืงืฉืึทื ื– ืื™ืŸ ื“ืึทืงื™ื•ืžืขื ื˜ื™ื™ืฉืึทืŸ ื‘ืœืขื˜ืขืจ ืคึฟืึทืจ ื’ืขื‘ื•ื™ื˜-ืื™ืŸ ืคืึทื ื’ืงืฉืึทื ื–.

ืคึฟืึทืจ ื’ืขื‘ื•ื™ื˜-ืื™ืŸ ืคืึทื ื’ืงืฉืึทื ื– ืื™ืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš ืขืก ืื™ื– ืึท ืึทื–ื•ื™ ื’ืขืจื•ืคืขื ืข ื“ื™ื˜ืขืงืฉืึทืŸ ืฉื™ื›ื˜ืข ืฆื•ื’ืขืฉื˜ืขืœื˜ ื“ื•ืจืš ื ืขืฅ ืคื•ืŸ "ื”ื™ืœืฃ ื‘ืœืขื˜ืขืจ", ื•ื•ืึธืก ืฆื•ืฉื˜ืขืœืŸ ืึธืจื’ืึทื ื™ื–ื™ืจื˜ ืจืฉื™ืžื•ืช ืคื•ืŸ ืคึฟืขื™ึดืงื™ื™ื˜ืŸ ืฉื™ื™ืš ืฆื• ืกืคึผืขืฆื™ืคื™ืฉ ื’ืขื‘ื™ื˜ืŸ. ืขืก ืื™ื– ืฉื˜ืขื ื“ื™ืง ืฉื•ื•ืขืจ ืฆื• ื‘ืึทืœืึทื ืกื™ืจืŸ ืžืขื ื˜ืฉ ื‘ืœืขื˜ืขืจ, ืื•ืŸ ื•ื•ื™ ื“ื™ ื•ื•ืึธืœืคืจืึทื ืฉืคึผืจืึทืš ื•ื•ืึทืงืกืŸ, ืžืขื ื˜ืฉ ื‘ืœืขื˜ืขืจ ืึธืคื˜ ื“ืึทืจืคึฟืŸ ืฆื• ื–ื™ื™ืŸ ื’ืึธืจ ืจื™ืึธืจื’ืึทื ื™ื™ื–ื“. ืขืก ืื™ื– ื’ืึทื ืฅ ื’ืจื™ื ื’ ืฆื• ืฉื˜ืขืœืŸ ืคืึทื ื’ืงืฉืึทื ื– ืคื•ืŸ ืึท ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ืื™ืŸ ื‘ืจื™ื™ื˜ ืงืึทื˜ืขื’ืึธืจื™ืขืก, ืื•ืŸ ืืคื™ืœื• ืฆื• ื‘ืจืขื›ืŸ ื“ื™ ืงืึทื˜ืขื’ืึธืจื™ืขืก ืงืึทื ืกื™ืกื˜ืึทื ื˜ืœื™, ืึธื‘ืขืจ ืขืก ืื™ื– ืคื™ืœ ืžืขืจ ื•ื•ืขืจื˜ืคื•ืœ ืฆื• ื”ืึธื‘ืŸ ืจืขื›ื˜ ืึธืจื’ืึทื ื™ื–ื™ืจื˜ ืฉืคึผืจืึทืš ืจืขืคึฟืขืจืขื ืฅ ื‘ืœืขื˜ืขืจ. ืขืก ืื™ื– ื ืึธืš ื ื™ืฉื˜ ืงืœืึธืจ ื•ื•ื™ ื‘ืขืกื˜ืขืจ ืฆื• ืžืึทื›ืŸ ื–ื™ื™ ืคึฟืึทืจ ื“ื™ ื’ืื ืฆืข ืคื•ื ืงืฆื™ืข ื•ื•ื™ืกืŸ ื‘ืึทื–ืข. ืœืžืฉืœ, CreateResourceObjectGallery ืื™ืŸ ื“ื™ ืฉื˜ืจื™ืš ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™, ื•ื•ืขืจ ืขืก ื™ื– ืงืขื ืขืŸ ืคึผืึธืกื˜ืŸ ืึท ื•ื•ืขื‘ ื‘ืœืึทื˜ ืžื™ื˜ ื–ื™ื™ืขืจ "ืคึผื™ืงืก" ืคึฟื•ืŸ ื“ื™ ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™:

Wolfram Function Repository: ืขืคึฟืŸ ืึทืงืกืขืก ืคึผืœืึทื˜ืคืึธืจืžืข ืคึฟืึทืจ Wolfram ืฉืคึผืจืึทืš ื™ืงืกื˜ืขื ืฉืึทื ื–

ื“ื™ Wolfram ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ืื™ื– ืงืึทื ืคื™ื’ื™ืขืจื“ ื•ื•ื™ ืึท ืคึผืขืจืกื™ืกื˜ืขื ื˜ ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™, ื•ื•ื• ืงื™ื™ืŸ ืคื•ื ืงืฆื™ืข ืื™ืŸ ืขืก ื•ื•ืขื˜ ืฉื˜ืขื ื“ื™ืง ืึทืจื‘ืขื˜ืŸ. ืคื•ืŸ ืงื•ืจืก, ื ื™ื™ึทืข ื•ื•ืขืจืกื™ืขืก ืคื•ืŸ ืคึฟืขื™ึดืงื™ื™ื˜ืŸ ืงืขืŸ ื–ื™ื™ืŸ ื‘ืืจืขื›ื˜ื™ื’ื˜, ืื•ืŸ ืžื™ืจ ื“ืขืจื•ื•ืึทืจื˜ืŸ ืึทื– ืขื˜ืœืขื›ืข ืคึฟืขื™ึดืงื™ื™ื˜ืŸ ื•ื•ืขื˜ ื–ื™ื™ืŸ ืคืึทืจืขืœื˜ืขืจื˜ ืžื™ื˜ ืฆื™ื™ื˜. ื“ื™ ืคืึทื ื’ืงืฉืึทื ื– ื•ื•ืขื˜ ืึทืจื‘ืขื˜ืŸ ืื•ื™ื‘ ื–ื™ื™ ื–ืขื ืขืŸ ื’ืขื ื™ืฆื˜ ืื™ืŸ ืžื’ื™ืœื”, ืึธื‘ืขืจ ื–ื™ื™ืขืจ ื“ืึทืงื™ื•ืžืขื ื˜ื™ื™ืฉืึทืŸ ื‘ืœืขื˜ืขืจ ื•ื•ืขื˜ ืคึฟืึทืจื‘ื™ื ื“ื•ื ื’ ืฆื• ื ื™ื™ึทืข, ืžืขืจ ืึทื•ื•ืึทื ืกื™ืจื˜ืข ืคืึทื ื’ืงืฉืึทื ื–.

ื“ื™ Wolfram Feature Repository ืื™ื– ื“ื™ื–ื™ื™ื ื“ ืฆื• ื”ืขืœืคึฟืŸ ืื™ืจ ื’ืขืฉื•ื•ื™ื ื“ ืึทื ื˜ื“ืขืงืŸ ื ื™ื™ึทืข ืคึฟืขื™ึดืงื™ื™ื˜ืŸ ืื•ืŸ ืœืขืจื ืขืŸ ื ื™ื™ึทืข ื•ื•ืขื’ืŸ ืฆื• ื ื•ืฆืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš. ืžื™ืจ ื–ืขื ืขืŸ ื–ื™ื™ืขืจ ืึธืคึผื˜ื™ืžื™ืกื˜ื™ืฉ ืึทื– ืขื˜ืœืขื›ืข ืคื•ืŸ โ€‹โ€‹โ€‹โ€‹ื•ื•ืึธืก ืื™ื– ื’ืขื•ื•ืขืŸ ื™ืงืกืคึผืœืึธืจื“ ืื™ืŸ ื“ื™ ืฉื˜ืจื™ืš ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ื•ื•ืขื˜ ื™ื•ื•ืขื ื˜ืฉืึทื•ื•ืึทืœื™ ืžืึทื›ืŸ ื–ื™ื ืขืŸ ืฆื• ื•ื•ืขืจืŸ ื’ืขื‘ื•ื™ื˜-ืื™ืŸ ืคึผืึทืจืฅ ืคื•ืŸ ื“ื™ ื”ืึทืจืฅ Wolfram ืฉืคึผืจืึทืš. ืื™ืŸ ื“ื™ ืœืขืฆื˜ืข ื™ืึธืจืฆืขื ื“ืœื™ื ื’ ืžื™ืจ ื”ืึธื‘ืŸ ืึท ืขื ืœืขืš ื’ืึทื ื’ ืคึฟืขื™ึดืงื™ื™ื˜ืŸ ื•ื•ืึธืก ื–ืขื ืขืŸ ืขืจื™ื“ื–ืฉื ืึทืœื™ ื‘ืึทืงืขื ืขื  ืื™ืŸ Wolfram | ืึทืœืฃ. ืื•ืŸ ืื™ื™ื ืขืจ ืคื•ืŸ ื“ื™ ืœืขืงืฆื™ืขืก ื’ืขืœืขืจื ื˜ ืคื•ืŸ ื“ืขืจ ื“ืขืจืคืึทืจื•ื ื’ ืื™ื– ืึทื– ื“ืขืจื’ืจื™ื™ื›ืŸ ื“ื™ ืกื˜ืึทื ื“ืึทืจื“ืก ืคื•ืŸ ืงื•ื•ืึทืœื™ื˜ืขื˜ ืื•ืŸ ืงืึธื ืกื™ืกื˜ืขื ืกื™ ื•ื•ืึธืก ืžื™ืจ ืคืึธืงื•ืก ืื•ื™ืฃ ืื™ืŸ ืึทืœืฅ ื’ืขื‘ื•ื™ื˜ ืื™ืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš ืจื™ืงื•ื•ื™ื™ืขืจื– ืึท ืคึผืœืึทืฅ ืคื•ืŸ ืึทืจื‘ืขื˜, ื•ื•ืึธืก ืื™ื– ืึธืคื˜ ืžืขืจ ืฉื•ื•ืขืจ ื•ื•ื™ ื“ื™ ืขืจืฉื˜ ืžื™ ืฆื• ื™ืžืคึผืœืึทืžืขื ื˜ื™ื™ืฉืึทืŸ ืคื•ืŸ ื“ืขื ื’ืขื“ืึทื ืง. ืืคื™ืœื• ืึทื–ื•ื™, ืึท ืคึฟื•ื ืงืฆื™ืข ืื™ืŸ ื“ืขืจ ืคื•ื ืงืฆื™ืข ื•ื•ื™ืกืŸ ื‘ืึทื–ืข ืงืขื ืขืŸ ื“ื™ื ืขืŸ ื•ื•ื™ ืึท ื–ื™ื™ืขืจ ื ื•ืฆื™ืง ื“ืขืจื•ื•ื™ื™ึทื– ืคื•ืŸ ื‘ืึทื’ืจื™ืฃ ืคึฟืึทืจ ืึท ืฆื•ืงื•ื ืคึฟื˜ ืคึฟื•ื ืงืฆื™ืข ื•ื•ืึธืก ืงืขืŸ ื™ื•ื•ืขื ื˜ืฉืึทื•ื•ืึทืœื™ ื–ื™ื™ืŸ ื’ืขื‘ื•ื™ื˜ ืื™ืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš.

ื“ื™ ืžืขืจืกื˜ ื•ื•ื™ื›ื˜ื™ืง ื–ืึทืš ื“ืึธ ืื™ื– ืึทื– ืึท ืคื•ื ืงืฆื™ืข ืื™ืŸ ืึท ืคื•ื ืงืฆื™ืข ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ืื™ื– ืขืคึผืขืก ื•ื•ืึธืก ืื™ื– ื‘ืืจืขื›ื˜ื™ื’ื˜ ืคึฟืึทืจ ื™ืขื“ืขืจ ื‘ืึทื ื™ืฆืขืจ ืฆื• ื ื•ืฆืŸ ืจืขื›ื˜ ืื™ืฆื˜. ืขืก ืื™ื– ืžืขื’ืœืขืš ืึทื– ืึท ื’ืขื‘ื•ื™ืจืŸ ืฉืคึผืจืึทืš ืฉื˜ืจื™ืš ืงืขืŸ ื–ื™ื™ืŸ ืคื™ืœ ื‘ืขืกืขืจ ืื•ืŸ ืžืขืจ ืขืคืขืงื˜ื™ื•ื•, ืึธื‘ืขืจ ืึท ืฉื˜ืจื™ืš ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ื•ื•ืึธืœื˜ ืœืึธื–ืŸ ื™ื•ื–ืขืจื– ืฆื• ื”ืึธื‘ืŸ ืึทืงืกืขืก ืฆื• ืึทืœืข ื“ื™ ื ื™ื™ึทืข ืคึฟืขื™ึดืงื™ื™ื˜ืŸ ื’ืœื™ื™ืš. ืื•ืŸ, ืจื•ื‘ึฟ ื™ืžืคึผืึธืจื˜ืึทื ื˜ืœื™, ื“ืขื ื‘ืึทื’ืจื™ืฃ ืึทืœืึทื•ื– ืึทืœืขืžืขืŸ ืฆื• ืœื™ื™ื’ืŸ ืงื™ื™ืŸ ื ื™ื™ึทืข ืคึฟืขื™ึดืงื™ื™ื˜ืŸ ื–ื™ื™ ื•ื•ื™ืœืŸ.

ืคึฟืจื™ึดืขืจ ืื™ืŸ ื“ืขืจ ื’ืขืฉื™ื›ื˜ืข ืคึฟื•ืŸ ื“ืขืจ ื•ื•ืึธืœืคึฟืจืึทื ืฉืคึผืจืึทืš, ื•ื•ืึธืœื˜ ื“ืขืจ ื’ืขื“ืึทื ืง ื ื™ืฉื˜ ื’ืขืึทืจื‘ืขื˜ ืึทื–ื•ื™ ื’ื•ื˜ ื•ื•ื™ ืขืก ื”ืึธื˜ ื’ืขื˜ืึธืŸ, ืึธื‘ืขืจ ืื™ืŸ ื“ืขื ื‘ื™ื ืข ืื™ื– ืึทืจืฒึทืŸ ืื™ืŸ ื“ืขืจ ืฉืคึผืจืึทืš ืึทื–ื•ื™ ืคึฟื™ืœ ืžื™ ืื•ืŸ ืึทื–ืึท ื˜ื™ืคึฟืŸ ืคึฟืึทืจืฉื˜ืึทื ื“ ืคึฟื•ืŸ ื“ื™ ืคึผืจื™ื ืฆื™ืคึผืŸ ืคึฟื•ืŸ ืฉืคึผืจืึทืšึพื“ื™ื–ื™ื™ืŸ, ืึทื– ืขืก ื–ืขื˜ ื–ื™ืš ืื™ืฆื˜ ืื•ื™ืก ื–ื™ื™ืขืจ. ืžืขื’ืœืขืš ืคึฟืึทืจ ืึท ื’ืจื•ื™ืก ืงื”ืœ ืคื•ืŸ ื™ื•ื–ืขืจื– ืฆื• ืœื™ื™ื’ืŸ ืคึฟืขื™ึดืงื™ื™ื˜ืŸ ื•ื•ืึธืก ื•ื•ืขื˜ ื”ืึทืœื˜ืŸ ืคึผืœืึทืŸ ืงืึธื ืกื™ืกื˜ืขื ืกื™ ืฆื• ืžืึทื›ืŸ ื–ื™ื™ ื ื•ืฆื™ืง ืคึฟืึทืจ ืึท ื‘ืจื™ื™ื˜ ืงื™ื™ื˜ ืคื•ืŸ ื ื™ืฆืขืจืก.

ืขืก ืื™ื– ืึทืŸ ื’ืœื™ื™ื‘ืŸ ื’ื™ื™ืกื˜ ืคื•ืŸ ื˜ืึทืœืึทื ื˜ (?) ืื™ืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš ื‘ืึทื ื™ืฆืขืจ ืงื”ืœ. (ื“ืึธืš, ื“ื™ ืงื”ื™ืœื” ื™ื ืงืœื•ื“ื– ืคื™ืœืข ืœื™ื“ื™ื ื’ R&D ืžืขื ื˜ืฉืŸ ืื™ืŸ ืึท ืคืึทืจืฉื™ื™ื“ื ืงื™ื™ึทื˜ ืคื•ืŸ ืคืขืœื“ืขืจ.) ืื™ืš ื”ืึธืคึฟืŸ ืึทื– ื“ื™ Wolfram Feature Repository ื•ื•ืขื˜ ืฆื•ืฉื˜ืขืœืŸ ืึทืŸ ืขืคืขืงื˜ื™ื•ื• ืคึผืœืึทื˜ืคืึธืจืžืข ืคึฟืึทืจ ืึทื ืœืึทืงื™ื ื’ ืื•ืŸ ืคืึทืจืฉืคึผืจื™ื™ื˜ืŸ ื“ืขื ื’ื™ื™ืกื˜ ืคื•ืŸ ื˜ืึทืœืึทื ื˜. ื‘ืœื•ื™ื– ืฆื•ื–ืึทืžืขืŸ ืงืขื ืขืŸ ืžื™ืจ ืžืึทื›ืŸ ืขืคึผืขืก ื•ื•ืึธืก ื•ื•ืขื˜ ื‘ืื˜ื™ื™ื˜ื™ืง ื™ืงืกืคึผืึทื ื“ ื“ื™ ืฉื˜ื— ืฆื• ื•ื•ืึธืก ื“ื™ Wolfram ืฉืคึผืจืึทืš ืงืึทืžืคึผื™ื•ื˜ื™ื ื’ ืคึผืึทืจืึทื“ื™ื’ื ืงืขื ืขืŸ ื–ื™ื™ืŸ ื’ืขื•ื•ืขื ื“ื˜.

ืื™ืŸ ืžืขืจ ื•ื•ื™ 30 ื™ืึธืจ, ืžื™ืจ ื”ืึธื‘ืŸ ืงื•ืžืขืŸ ืึท ืœืึทื ื’ ื•ื•ืขื’ ืžื™ื˜ ื“ื™ ื•ื•ืึธืœืคืจืึทื ืฉืคึผืจืึทืš. ืื™ืฆื˜ ืฆื•ื–ืึทืžืขืŸ, ืœืึธืžื™ืจ ื’ื™ื™ืŸ ื ืึธืš ื•ื•ื™ื™ื˜ืขืจ. ืื™ืš ืฉื˜ืืจืง ืžื•ื˜ื™ืงืŸ ืึทืœืข ืจืขืกืคึผืขืงื˜ืขื“ ื ื™ืฆืขืจืก ืคื•ืŸ ื“ื™ Wolfram ืฉืคึผืจืึทืš ืึทืจื•ื ื“ื™ ื•ื•ืขืœื˜ ืฆื• ื ื•ืฆืŸ ื“ื™ ืฉื˜ืจื™ืš ืจื™ืคึผืึทื–ืึทื˜ืึธืจื™ ื•ื•ื™ ืึท ืคึผืœืึทื˜ืคืึธืจืžืข ืคึฟืึทืจ ื“ืขื, ื•ื•ื™ ื’ืขื–ื•ื ื˜ ื•ื•ื™ ื“ื™ ื ื™ื™ึทืข ื•ื•ื™ื™ื›ื•ื•ืืจื’ ืคึผืจื•ื™ืขืงื˜ ื•ื•ื™ ื“ื™ Free Wolfram Engine ืคึฟืึทืจ ื“ืขื•ื•ืขืœืึธืคึผืขืจืก.

ืžืงื•ืจ: www.habr.com

ืœื™ื™ื’ืŸ ืึท ื‘ืึทืžืขืจืงื•ื ื’