Computer Algebra System

Computer Algebra System (forkortet CAS)^[1] er en betegnelse for lommeregnere og software, som kan foretage symbolsk manipulation af matematiske udtryk,^[2] herunder at løse ligninger med eksakte løsninger;^[3] for at løse en ligning kræves typisk kommandoen solve(...). Flere CAS-værktøjer kan også foretage beregninger indenfor differetialregning (altså beregne differentialkvotienter), kommandoen er ofte diff(...); samt foretage beregninger indenfor integralregning (dvs. beregne stamfunktioner samt beregne ubestemte integraler såvel som bestemte integraler. Kommandoen er for nogle CAS-værtøjer: int(...). Enkelte CAS-værktøjer kan endda løse differentialligninger algebraisk;^[4] hvilket typisk gøres via kommandoen desolve(...) eller dsolve(...).

Til CAS-værktøjer hører flere af Texas Instruments grafregnere (TI-89^[5] samt TI-Nspire CAS^[6] bl.a.) samt kommerciel software (f.eks. Maple^[7] og Wolfram Mathematica^[8]) og fri software (fx Geogebra og Xcas^[9] samt Yacas^[10]).

Tabel[redigér | rediger kildetekst]

over nogle^[11] CAS-softwares^[12]

Navn	Software licens	Programmeringssprog	MS Windows	macOS	Linux	Andre OS	Kommando løser differentialligning	Note og kilde
CPMP-Tools	freeware eller fri software	java	Windows	macOS	Linux			^[13]
ExpressionsinBar	freeware eller fri software	?		64 bit app for macOS			desolve( $y'=b\cdot y-a$ , $y$ )	^[14]
GeoGebra	freeware eller fri software	java	Windows	macOS	Linux	Android & iOS	SolveODE(^[15]	også som web app^[16]
Maple *	kommerciel	C, Java, Maple	Windows	macOS	Linux		dsolve $(y'(x)=k\cdot y(x)$ , $y(x))$ ^[17]	^[18]
Mathematica *	kommerciel	Wolfram Language, Lisp	Windows	macOS	Linux	Solaris	DSolve( $y'=k\cdot y$ , $y$ )^[19]	også som web^[20] app^[21]
MATLAB	kommerciel	C/C++, MATLAB	Windows	macOS	Linux			^[22]
Maxima	freeware eller fri software	Common Lisp	Windows	macOS	Linux	Android	ode2 (eqn, dvar, ivar)^[23]	også som online app^[24]
SageMath	freeware eller fri software	Python 3	Windows	macOS	Linux		desolve( $y'=b\cdot y-a$ , $y$ )^[25]	^[26]
Singular	freeware eller fri software	C++	Windows	macOS	Linux			findes^[27] også online^[28]
TI-Nspire CX CAS	kommerciel	?	Windows	macOS			deSolve( $y'=b\cdot y-a$ , $x$ , $y$ )^[29]	^[30]^[31]
TI-89 simulator & TI-92 Plus emulator	freeware eller fri software	?	online				deSolve( $y'=b\cdot y-a$ , $x$ , $y$ )	^[32]^[33]
Xcas	freeware eller fri software	C++	Windows	macOS	Linux		desolve( $y'=b\cdot y-a$ , $y$ )^[34]	^[35]
Yacas	freeware eller fri software	C++	Windows	macOS	Linux		OdeSolve( $y''-4*y==0$ )^[36]	^[37]

* løser også triple integraler.

Referencer[redigér | rediger kildetekst]

^ https://www.maplesoft.com/ns/maple/cas/computer-algebra-systems-math-education.aspx
^ https://cedric.cnam.fr/fichiers/art_3390.pdf
^ "Arkiveret kopi". Arkiveret fra originalen 23. januar 2020. Hentet 10. januar 2020.
^ https://www.unf.edu/~ddreibel/cas/
^ https://education.ti.com/en/products/calculators/graphing-calculators/ti-89-titanium
^ https://education.ti.com/da/products/computer-software/ti-nspire-cas-student-sw
^ https://www.maplesoft.com/mapleskole/
^ https://www.wolfram.com/mathematica/analysis/
^ https://www-fourier.ujf-grenoble.fr/~parisse/giac/troussesurvie_en.pdf
^ http://www.yacas.org
^ https://www.ubuntupit.com/top-20-best-computer-algebra-systems-for-linux/
^ https://enacademic.com/dic.nsf/enwiki/1062713
^ "Arkiveret kopi". Arkiveret fra originalen 12. januar 2020. Hentet 10. januar 2020.
^ http://www.alelvisoftware.com/Expressions/ExpressionsinBar.html
^ https://wiki.geogebra.org/en/SolveODE_Command
^ https://www.geogebra.org/classic?lang=da
^ https://www.maplesoft.com/support/help/Maple/view.aspx?path=dsolve%2finteractive
^ https://www.maplesoft.com/
^ https://reference.wolfram.com/language/tutorial/DSolveIntroduction.html
^ https://www.wolframalpha.com/
^ https://www.wolfram.com/mathematica/
^ https://www.mathworks.com/products/matlab.html
^ https://maxima.sourceforge.io/docs/manual/maxima_105.html#ode2
^ https://web.archive.org/web/20181101184600/http://maxima-online.org/
^ https://doc.sagemath.org/html/en/reference/calculus/sage/calculus/desolvers.html
^ https://www.sagemath.org/
^ https://www.singular.uni-kl.de/
^ "Arkiveret kopi". Arkiveret fra originalen 20. juli 2017. Hentet 26. december 2020.
^ "Arkiveret kopi". Arkiveret fra originalen 23. oktober 2020. Hentet 26. december 2020.
^ https://education.ti.com/en/software/details/en/3dc447eb50e0466697761768fe3b6391/student-nspirecxcas
^ https://education.ti.com/html/webhelp/EG_TINspire/DA/index.html
^ https://ti89-simulator.com/
^ https://tiplanet.org/emu68k_fork/
^ http://www-fourier.ujf-grenoble.fr/~parisse/giac/cascmd_en.pdf
^ https://www-fourier.ujf-grenoble.fr/~parisse/giac.html
^ https://yacas.readthedocs.io/en/latest/reference_manual/ode.html?highlight=desolve#OdeSolve
^ http://www.yacas.org/

[1] ttps://www.maplesoft.com/ns/maple/cas/computer-algebra-systems-math-education.aspx

[:0-2] ttps://cedric.cnam.fr/fichiers/art_3390.pdf

[3] "Arkiveret kopi". Arkiveret fra originalen 23. januar 2020. Hentet 10. januar 2020.

[4] ttps://www.unf.edu/~ddreibel/cas/

[5] ttps://education.ti.com/en/products/calculators/graphing-calculators/ti-89-titanium

[6] ttps://education.ti.com/da/products/computer-software/ti-nspire-cas-student-sw

[7] ttps://www.maplesoft.com/mapleskole/

[8] ttps://www.wolfram.com/mathematica/analysis/

[9] ttps://www-fourier.ujf-grenoble.fr/~parisse/giac/troussesurvie_en.pdf

[10] ttp://www.yacas.org

[11] ttps://www.ubuntupit.com/top-20-best-computer-algebra-systems-for-linux/

[12] ttps://enacademic.com/dic.nsf/enwiki/1062713

[13] "Arkiveret kopi". Arkiveret fra originalen 12. januar 2020. Hentet 10. januar 2020.

[14] ttp://www.alelvisoftware.com/Expressions/ExpressionsinBar.html

[15] ttps://wiki.geogebra.org/en/SolveODE_Command

[16] ttps://www.geogebra.org/classic?lang=da

[17] ttps://www.maplesoft.com/support/help/Maple/view.aspx?path=dsolve%2finteractive

[18] ttps://www.maplesoft.com/

[19] ttps://reference.wolfram.com/language/tutorial/DSolveIntroduction.html

[20] ttps://www.wolframalpha.com/

[21] ttps://www.wolfram.com/mathematica/

[22] ttps://www.mathworks.com/products/matlab.html

[23] ttps://maxima.sourceforge.io/docs/manual/maxima_105.html#ode2

[24] ttps://web.archive.org/web/20181101184600/http://maxima-online.org/

[25] ttps://doc.sagemath.org/html/en/reference/calculus/sage/calculus/desolvers.html

[26] ttps://www.sagemath.org/

[27] ttps://www.singular.uni-kl.de/

[28] "Arkiveret kopi". Arkiveret fra originalen 20. juli 2017. Hentet 26. december 2020.

[:10-29] "Arkiveret kopi". Arkiveret fra originalen 23. oktober 2020. Hentet 26. december 2020.

[30] ttps://education.ti.com/en/software/details/en/3dc447eb50e0466697761768fe3b6391/student-nspirecxcas

[31] ttps://education.ti.com/html/webhelp/EG_TINspire/DA/index.html

[:9-32] ttps://ti89-simulator.com/

[:8-33] ttps://tiplanet.org/emu68k_fork/

[34] ttp://www-fourier.ujf-grenoble.fr/~parisse/giac/cascmd_en.pdf

[35] ttps://www-fourier.ujf-grenoble.fr/~parisse/giac.html

[36] ttps://yacas.readthedocs.io/en/latest/reference_manual/ode.html?highlight=desolve#OdeSolve

[37] ttp://www.yacas.org/

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