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isympy - ืžืงื•ื•ืŸ ื‘ืขื ืŸ

ื”ืคืขืœ ืืช isympy ื‘ืกืคืง ืื™ืจื•ื— ื—ื™ื ืžื™ ืฉืœ OnWorks ืขืœ ืื•ื‘ื•ื ื˜ื• ืื•ื ืœื™ื™ืŸ, ืคื“ื•ืจื” ืื•ื ืœื™ื™ืŸ, ืืžื•ืœื˜ื•ืจ ืžืงื•ื•ืŸ ืฉืœ Windows ืื• ืืžื•ืœื˜ื•ืจ ืžืงื•ื•ืŸ ืฉืœ MAC OS

ื–ื•ื”ื™ ื”ืคืงื•ื“ื” isympy ืฉื ื™ืชืŸ ืœื”ืคืขื™ืœ ื‘ืกืคืง ื”ืื™ืจื•ื— ื”ื—ื™ื ืžื™ ืฉืœ OnWorks ื‘ืืžืฆืขื•ืช ืื—ืช ืžืชื—ื ื•ืช ื”ืขื‘ื•ื“ื” ื”ืžืงื•ื•ื ื•ืช ื”ืžืจื•ื‘ื•ืช ืฉืœื ื•, ื›ื’ื•ืŸ Ubuntu Online, Fedora Online, ืืžื•ืœื˜ื•ืจ ืžืงื•ื•ืŸ ืฉืœ Windows ืื• ืืžื•ืœื˜ื•ืจ ืžืงื•ื•ืŸ ืฉืœ MAC OS

ืชึธื›ึฐื ึดื™ืช:

ืฉืึตื


isympy - ืžืขื˜ืคืช ืื™ื ื˜ืจืืงื˜ื™ื‘ื™ืช ืขื‘ื•ืจ SymPy

ืชึทืงืฆึดื™ืจ


ืื™ืกื™ืžืคื™ [-c | --ืœึฐื ึทื—ึตื] [-p ืงื™ื“ื•ื“ | --ื™ืคื” ืงื™ื“ื•ื“] [-t TYPE | --ืกื•ื’ื™ื TYPE] [-o
ืกื“ืจ | --ืœื”ื–ืžื™ืŸ ืœื”ื–ืžื™ืŸ] [-q | --ืฉืึถืงึถื˜] [-d | --ื“ื•ืงื˜ื•ืจื˜] [-C | --ืœืœื ืžื˜ืžื•ืŸ] [-a |
--ืื•ื˜ื•ืžื˜ื™] [-D | --ืœื ืคื•ืช] [ -- | PYTHONOPTIONS]
ืื™ืกื™ืžืคื™ [ {-h | - ืขื–ืจื”} | {-v | --ื’ึดืจึฐืกึธื”} ]

ืชื™ืื•ืจ


isympy ื”ื™ื ืžืขื˜ืคืช Python ืขื‘ื•ืจ SymPy. ื–ื•ื”ื™ ืจืง ืžืขื˜ืคืช ืคื™ืชื•ืŸ ืจื’ื™ืœื” (ืžืขื˜ืคืช ipython ืื ืืชื”
ื”ืชืงื ืช ืืช ื”ื—ื‘ื™ืœื” ipython) ืฉืžื‘ืฆืขืช ืืช ื”ืคืงื•ื“ื•ืช ื”ื‘ืื•ืช ื›ื“ื™ ืฉืœื ืชืขืฉื” ื–ืืช
ื—ื™ื™ื‘:

>>> ืžื—ื˜ื™ื‘ืช ื”ื™ื‘ื•ื __ืขืชื™ื“__
>>> ืž-Sympy Import *
>>> x, y, z = symbols("x,y,z")
>>> k, m, n = symbols("k,m,n", integer=True)

ืื– ื”ืชื—ืœืช isympy ืฉื•ื•ื” ืขืจืš ืœื”ืคืขืœืช python (ืื• ipython) ื•ื‘ื™ืฆื•ืข ื”ืืžื•ืจ ืœืขื™ืœ
ืคืงื•ื“ื•ืช ื‘ื™ื“. ื–ื” ื ื•ืขื“ ืœื”ืชื ืกื•ืช ืงืœื” ื•ืžื”ื™ืจื” ืขื SymPy. ืœืขื•ื“
ืชื•ื›ื ื•ืช ืžืกื•ื‘ื›ื•ืช, ืžื•ืžืœืฅ ืœื›ืชื•ื‘ ืกืงืจื™ืคื˜ ื•ืœื™ื™ื‘ื ื“ื‘ืจื™ื ื‘ืžืคื•ืจืฉ
(ื‘ืืžืฆืขื•ืช ื”ื‘ื™ื˜ื•ื™ "ืž-sympy import sin, log, Symbol, ...").

ืืคืฉืจื•ื™ื•ืช


-c SHELL, --ืงื•ื ืกื•ืœื”=SHELL
ื”ืฉืชืžืฉ ื‘ืžืขื˜ืคืช ืฉืฆื•ื™ื ื” (python ืื• ipython) ื‘ืชื•ืจ ืงืฆื” ืื—ื•ืจื™ ืฉืœ ื”ืžืกื•ืฃ ื‘ืžืงื•ื
ื‘ืจื™ืจืช ืžื—ื“ืœ (ipython ืื ืงื™ื™ื ืื• python ืื—ืจืช).

ื“ื•ื’ืžื”: isympy -c python

SHELL ื™ื›ื•ืœ ืœื”ื™ื•ืช 'ืื™ืคื™ืชื•ืŸ' ืื• 'ืคื™ืชื•ืŸ'

-p ื”ึทืฆืคึผึธื ึธื”, --ื™ืคื”=ื”ึทืฆืคึผึธื ึธื”
ื”ื’ื“ืจ ื”ื“ืคืกื” ื™ืคื” ื‘-SymPy. ื›ื‘ืจื™ืจืช ืžื—ื“ืœ, ื”ื”ื“ืคืกื” ื”ื™ืคื” ื‘ื™ื•ืชืจ ื‘-unicode ื”ื™ื
ืžื•ืคืขืœ (ืื ื”ืžืกื•ืฃ ืชื•ืžืš ื‘ื›ืš). ืืชื” ื™ื›ื•ืœ ืœื”ืฉืชืžืฉ ื‘ื”ื“ืคืกืช ASCII ืคื—ื•ืช ื™ืคื”
ื‘ืžืงื•ื ืื• ื‘ืœื™ ื”ื“ืคืกื” ื™ืคื” ื‘ื›ืœืœ.

ื“ื•ื’ืžื”: isympy -p no

ื”ึทืฆืคึผึธื ึธื” ื—ื™ื™ื‘ ืœื”ื™ื•ืช ืื—ื“ ืฉืœ 'unicode', 'ascii' ืื• 'ืœื'.

-t ืกื•ื’, --ืกื•ื’ื™ื=ืกื•ื’
ื”ื’ื“ืจ ืืช ืกื•ื’ื™ ื”ืงืจืงืข ืขื‘ื•ืจ ื”ืคื•ืœื™ืก. ื›ื‘ืจื™ืจืช ืžื—ื“ืœ, ื ืขืฉื” ืฉื™ืžื•ืฉ ื‘ืกื•ื’ื™ ืงืจืงืข gmpy if
gmpy2 ืื• gmpy ืžื•ืชืงืŸ, ืื—ืจืช ื”ื•ื ื ื•ืคืœ ื‘ื—ื–ืจื” ืœืกื•ื’ื™ ืงืจืงืข python, ืืฉืจ
ื”ื ืงืฆืช ื™ื•ืชืจ ืื™ื˜ื™ื™ื. ืืชื” ื™ื›ื•ืœ ืœื‘ื—ื•ืจ ื™ื“ื ื™ืช ืกื•ื’ื™ ืงืจืงืข ืคื™ืชื•ืŸ ื’ื ืื ื”ื gmpy
ืžื•ืชืงืŸ (ืœืžืฉืœ, ืœืžื˜ืจื•ืช ื‘ื“ื™ืงื”).

ืฉื™ื ืœื‘ ืฉืกื•ื’ื™ ืงืจืงืข ืฉืœ ืกื™ืžืคื™ ืื™ื ื ื ืชืžื›ื™ื, ื•ื™ืฉ ืœื”ืฉืชืžืฉ ื‘ื”ื ืจืง ืขื‘ื•ืจ
ืžื˜ืจื•ืช ื ื™ืกื•ื™.

ืฉื™ืžื• ืœื‘ ืฉืกื•ื’ ื”ืงืจืงืข gmpy1 ืžื™ื•ืขื“ ื‘ืขื™ืงืจ ืœื‘ื“ื™ืงื”; ื–ื” ื”ืฉื™ืžื•ืฉ ืฉืœ
gmpy ื’ื ืื gmpy2 ื–ืžื™ืŸ.

ื–ื” ื–ื”ื” ืœื”ื’ื“ืจืช ืžืฉืชื ื” ื”ืกื‘ื™ื‘ื” SYMPY_GROUND_TYPES ืœ-
ืกื•ื’ ื”ืงืจืงืข ื ืชื•ืŸ (ืœืžืฉืœ, SYMPY_GROUND_TYPES='gmpy')

ื ื™ืชืŸ ืœืงื‘ื•ืข ืืช ืกื•ื’ื™ ื”ืงืจืงืข ื‘ืื•ืคืŸ ืื™ื ื˜ืจืืงื˜ื™ื‘ื™ ืžื”ืžืฉืชื ื”
sympy.polys.domains.GROUND_TYPES ื‘ืชื•ืš ืžืขื˜ืคืช isympy ืขืฆืžื”.

ื“ื•ื’ืžื”: isympy -t python

ืกื•ื’ ื—ื™ื™ื‘ ืœื”ื™ื•ืช ืื—ื“ ืž'gmpy', 'gmpy1' ืื• 'python'.

-o ืœื”ื–ืžื™ืŸ, --ืกื“ืจ=ืœื”ื–ืžื™ืŸ
ื”ื’ื“ืจ ืืช ืกื“ืจ ื”ืชื ืื™ื ืœื”ื“ืคืกื”. ื‘ืจื™ืจืช ื”ืžื—ื“ืœ ื”ื™ื lex, ืฉืžื–ืžื™ืŸ ืžื•ื ื—ื™ื
ืžื‘ื—ื™ื ื” ืœืงืกื™ืงื•ื’ืจืคื™ืช (ืœืžืฉืœ, x**2 + x + 1). ืืชื” ื™ื›ื•ืœ ืœื‘ื—ื•ืจ ื”ื–ืžื ื•ืช ืื—ืจื•ืช, ื›ื’ื•ืŸ
rev-lex, ืฉื™ืฉืชืžืฉ ื‘ืกื“ืจ ืœืงืกื™ืงื•ื’ืจืคื™ ื”ืคื•ืš (ืœืžืฉืœ, 1 + x + x**2).

ืฉื™ืžื• ืœื‘ ืฉืขื‘ื•ืจ ื‘ื™ื˜ื•ื™ื™ื ื’ื“ื•ืœื™ื ืžืื•ื“, ORDER='none' ืขืฉื•ื™ ืœื”ืื™ืฅ ืืช ื”ื”ื“ืคืกื”
ื‘ืžื™ื“ื” ื ื™ื›ืจืช, ืขื ื”ืคืฉืจื” ืฉืกื“ืจ ื”ืชื ืื™ื ื‘ืžื•ื“ืคืก
ืœื‘ื™ื˜ื•ื™ ืœื ื™ื”ื™ื” ืกื“ืจ ืงื ื•ื ื™

ื“ื•ื’ืžื”: isympy -o rev-lax

ืœื”ื–ืžื™ืŸ ื—ื™ื™ื‘ ืœื”ื™ื•ืช ืื—ื“ ืž'lex', 'rev-lex', 'grlex', 'rev-grlex', 'grevlex', 'rev-
grevlex', 'ื™ืฉืŸ' ืื• 'ืืฃ ืื—ื“'.

-q, --ืฉืึถืงึถื˜
ื”ื“ืคืก ืจืง ืืช ื”ื’ืจืกืื•ืช ืฉืœ Python ื•-SymPy ืœ-stdout ื‘ืขืช ื”ื”ืคืขืœื”, ื•ืชื• ืœื.

-d, --ื“ื•ืงื˜ื•ืจื˜
ื”ืฉืชืžืฉ ื‘ืื•ืชื• ืคื•ืจืžื˜ ืฉืืžื•ืจ ืœืฉืžืฉ ืขื‘ื•ืจ ื‘ื“ื™ืงื•ืช ื“ื•ืงื˜ื•ืจื˜. ื–ื” ืฉื•ื•ื” ืขืจืš ืœ'ืื™ืกื™ืžืคื™
-c ืคึผึดื™ืชื•ึนืŸ -p ืœื'.

-C, --ืœืœื ืžื˜ืžื•ืŸ
ื”ืฉื‘ืช ืืช ืžื ื’ื ื•ืŸ ื”ืื—ืกื•ืŸ ื‘ืžื˜ืžื•ืŸ. ื”ืฉื‘ืชืช ื”ืžื˜ืžื•ืŸ ืขืœื•ืœื” ืœื”ืื˜ ืคืขื•ืœื•ืช ืžืกื•ื™ืžื•ืช
ื‘ืžื™ื“ื” ื ื™ื›ืจืช. ื–ื” ืฉื™ืžื•ืฉื™ ืขื‘ื•ืจ ื‘ื“ื™ืงืช ื”ืžื˜ืžื•ืŸ, ืื• ืขื‘ื•ืจ benchmarking, ื›ืžื•
ืžื˜ืžื•ืŸ ืขืœื•ืœ ืœื’ืจื•ื ืœืชื–ืžื•ื ื™ ื‘ื™ืฆื•ืขื™ื ืžื˜ืขื™ื.

ื–ื” ื–ื”ื” ืœื”ื’ื“ืจืช ืžืฉืชื ื” ื”ืกื‘ื™ื‘ื” SYMPY_USE_CACHE ืœ'ืœื'.

-a, --ืื•ื˜ื•ืžื˜ื™
ืฆื•ืจ ืกืžืœื™ื ื—ืกืจื™ื ื‘ืื•ืคืŸ ืื•ื˜ื•ืžื˜ื™. ื‘ื“ืจืš ื›ืœืœ, ื”ืงืœื“ืช ืฉื ืฉืœ ืกืžืœ ืฉื™ืฉ ืœื•
ืœื ืžื•ืคืขืœืช ืชื—ื™ืœื” ื™ื’ืจื•ื ืœ-NameError, ืื‘ืœ ืขื ืืคืฉืจื•ืช ื–ื• ืžื•ืคืขืœืช,
ื›ืœ ืฉื ืœื ืžื•ื’ื“ืจ ื™ื™ื•ื•ืฆืจ ืื•ื˜ื•ืžื˜ื™ืช ื›ืกืžืœ. ื–ื” ืขื•ื‘ื“ ืจืง ื‘
IPython 0.11.

ืฉื™ื ืœื‘ ืฉื–ื” ืžื™ื•ืขื“ ืจืง ืœืฉื™ืžื•ืฉ ืื™ื ื˜ืจืืงื˜ื™ื‘ื™ ื‘ืกื’ื ื•ืŸ ืžื—ืฉื‘ื•ืŸ. ื‘
ืกืงืจื™ืคื˜ ืฉืžืฉืชืžืฉ ื‘-SymPy, ืกื™ืžื ื™ื ืฆืจื™ื›ื™ื ืœื”ื™ื•ืช ืžื•ืคืขื™ื ื‘ื—ืœืง ื”ืขืœื™ื•ืŸ, ื›ืš ืฉื–ื” ื™ื”ื™ื”
ื‘ืจื•ืจ ืžื” ื”ื.

ื–ื” ืœื ื™ืขืงื•ืฃ ืฉืžื•ืช ืฉื›ื‘ืจ ืžื•ื’ื“ืจื™ื, ื”ื›ื•ืœืœื™ื ืืช
ืื•ืชื™ื•ืช ืชื•ื•ื™ื ื‘ื•ื“ื“ื•ืช ื”ืžื™ื•ืฆื’ื•ืช ืขืœ ื™ื“ื™ ื”-QCOSINE ื”ืžื ืžื•ื ื™ืช (ืจืื” ืืช ื”-"Gotchas and
ืžืกืžืš ืžืœื›ื•ื“ื•ืช" ื‘ืชื™ืขื•ื“). ื ื™ืชืŸ ืœืžื—ื•ืง ืฉืžื•ืช ืงื™ื™ืžื™ื ืขืœ ื™ื“ื™
ื‘ื™ืฆื•ืข "del name" ื‘ืžืขื˜ืคืช ืขืฆืžื”. ืืชื” ื™ื›ื•ืœ ืœืจืื•ืช ืื ืฉื ืžื•ื’ื“ืจ ืขืœ ื™ื“ื™
ื”ืงืœื“ืช "'name' ื‘-globals()".

ืœืกืžืœื™ื ืฉื ื•ืฆืจื™ื ื‘ืืžืฆืขื•ืช ื–ื” ื™ืฉ ื”ื ื—ื•ืช ื‘ืจื™ืจืช ืžื—ื“ืœ. ืื ืืชื” ืจื•ืฆื”
ื”ื ื— ื”ื ื—ื•ืช ืขืœ ืกืžืœื™ื, ืขืœื™ืš ืœื™ืฆื•ืจ ืื•ืชืŸ ื‘ืืžืฆืขื•ืช symbols() ืื• var().

ืœื‘ืกื•ืฃ, ื–ื” ืขื•ื‘ื“ ืจืง ื‘ืžืจื—ื‘ ื”ืฉืžื•ืช ื‘ืจืžื” ื”ืขืœื™ื•ื ื”. ืื–, ืœืžืฉืœ, ืื ืืชื” ืžื’ื“ื™ืจ
ืคื•ื ืงืฆื™ื” ื‘-isympy ืขื ืกืžืœ ืœื ืžื•ื’ื“ืจ, ื”ื™ื ืœื ืชืขื‘ื•ื“.

-D, --ืœื ืคื•ืช
ืืคืฉืจ ืคืœื˜ ื ื™ืคื•ื™ ื‘ืื’ื™ื. ื–ื” ื–ื”ื” ืœื”ื’ื“ืจืช ืžืฉืชื ื” ื”ืกื‘ื™ื‘ื”
SYMPY_DEBUG ืœ-'True'. ืžืฆื‘ ื ื™ืคื•ื™ ื”ื‘ืื’ื™ื ื ืงื‘ืข ื‘ืžืฉืชื ื” SYMPY_DEBUG ื‘ืชื•ืš
ืื™ืกื™ืžืคื™.

-- PYTHONOPTIONS
ืืคืฉืจื•ื™ื•ืช ืืœื• ื™ื•ืขื‘ืจื• ืœ ืคึผึดื™ืชื•ึนืŸ (1) ืฆื“ืฃ. ื ืชืžืš ืจืง ื›ืืฉืจ ipython
ื ืžืฆื ื‘ืฉื™ืžื•ืฉ (ืžืขื˜ืคืช ืคื™ืชื•ืŸ ืกื˜ื ื“ืจื˜ื™ืช ืœื ื ืชืžื›ืช).

ืฉื ื™ ืžืงืคื™ื (--) ื ื“ืจืฉื™ื ื›ื“ื™ ืœื”ืคืจื™ื“ PYTHONOPTIONS ืžื”ืื™ื–ื™ืžืคื™ ื”ืฉื ื™
ืืคืฉืจื•ื™ื•ืช.

ืœื“ื•ื’ืžื”, ื›ื“ื™ ืœื”ืคืขื™ืœ ืืช iSymPy ืœืœื ื‘ืื ืจ ื”ืคืขืœื” ื•ืฆื‘ืขื™ื:

isympy -q -c ipython -- --colors=NoColor

-h, - ืขื–ืจื”
ื”ื“ืคืก ืขื–ืจื” ืคืœื˜ ื•ื™ืฆื™ืื”.

-v, --ื’ึดืจึฐืกึธื”
ื”ื“ืคืก ืžื™ื“ืข ืขืœ ื’ืจืกืช ืื™ืกื™ืžืคื™ื•ืช ื•ืฆื.

ื”ืฉืชืžืฉ ื‘-isympy ื‘ืื™ื ื˜ืจื ื˜ ื‘ืืžืฆืขื•ืช ืฉื™ืจื•ืชื™ onworks.net


ืฉืจืชื™ื ื•ืชื—ื ื•ืช ืขื‘ื•ื“ื” ื‘ื—ื™ื ื

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