Maxima

Maxima er et frit computeralgebrasystem (CAS),^[1] som er open-source-software,^[2] der er udviklet under GNU General Public License.

Maxima kan downloades til flere styresystemer.^[3]

Programmeringssprog og grafiske brugerflader[redigér | rediger kildetekst]

Maxima er skrevet i programmeringssproget Common Lisp.^[4] Der findes adskillige grafiske brugerflader (GUI) til Maxima.^[5]

SageMath er et frit CAS-software, som har lånt flere biblioteker af Maxima.

Styresystemer[redigér | rediger kildetekst]

Maxima kan anvendes til disse fire styresystemer:^[3]

Historie[redigér | rediger kildetekst]

Maxima var oprindeligt baseret på CAS-programmet Macsyma. Den første version af Macsyma blev lanceret i 1982 af William Schelter, der var professor i matematik. Navnet Maxima har eksisteret siden 1998, da Schelter fik USA’s energiministeriums tilladelse til at offentliggøre programmet.^[7]

I perioden 1982-99 gennemgik Maxima en række ændringer. Siden 2017 har der været introduktionsvideoer^[8] til Maxima. Den 31. maj 2019 blev Maxima 5.43.0 publiceret.^[9]

Features (udvalg)^[1][redigér | rediger kildetekst]

Løse ligninger
Plotte funktioners grafer^[6]
Faktorisere polynomier
Faktorisere store tal
Differentialregning, altså beregne differentialkvotienter
Integralregning, dvs. beregne stamfunktioner
Linear algebra
Taylor serier
Løse differentialligninger^[10] (se tabel nedenfor)
Vektorregning^[6]
Matrixer^[6]
Komplekse tal^[6]
3D grafer^[11]

Se også[redigér | rediger kildetekst]

Maxima hører til denne gruppe^[12] af CAS-softwares^[13]

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			^[14]
ExpressionsinBar	freeware eller fri software	?		64 bit app for macOS			desolve( $y'=b\cdot y-a$ , $y$ )	^[15]
GeoGebra	freeware eller fri software	java	Windows	macOS	Linux	Android & iOS	SolveODE(^[16]	også som web app^[17]
Maple *	kommerciel	C, Java, Maple	Windows	macOS	Linux		dsolve $(y'(x)=k\cdot y(x)$ , $y(x))$ ^[18]	^[19]
Mathematica *	kommerciel	Wolfram Language, Lisp	Windows	macOS	Linux	Solaris	DSolve( $y'=k\cdot y$ , $y$ )^[20]	også som web^[21] app^[22]
MATLAB	kommerciel	C/C++, MATLAB	Windows	macOS	Linux			^[23]
Maxima	freeware eller fri software	Common Lisp	Windows	macOS	Linux	Android	ode2 (eqn, dvar, ivar)^[24]	også som online app^[25]
SageMath	freeware eller fri software	Python 3	Windows	macOS	Linux		desolve( $y'=b\cdot y-a$ , $y$ )^[26]	^[27]
Singular	freeware eller fri software	C++	Windows	macOS	Linux			findes^[28] også online^[29]
TI-Nspire CX CAS	kommerciel	?	Windows	macOS			deSolve( $y'=b\cdot y-a$ , $x$ , $y$ )^[30]	^[31]^[32]
TI-89 simulator & TI-92 Plus emulator	freeware eller fri software	?	online				deSolve( $y'=b\cdot y-a$ , $x$ , $y$ )	^[33]^[34]
Xcas	freeware eller fri software	C++	Windows	macOS	Linux	Android	desolve( $y'=b\cdot y-a$ , $y$ )^[35]	^[36]
Yacas	freeware eller fri software	C++	Windows	macOS	Linux		OdeSolve( $y''-4*y==0$ )^[37]	^[38]

* løser også triple integraler.

Eksterne henvisninger[redigér | rediger kildetekst]

https://sourceforge.net/p/maxima/code/ci/master/tree/

List of computer algebra systems (engelsk)

Maxima online^[39][redigér | rediger kildetekst]

https://web.archive.org/web/20181101184600/http://maxima-online.org/

Bog om Maxima[redigér | rediger kildetekst]

Timberlake, Todd Keene; Mixon, Jr., J. Wilson (2015). Classical Mechanics with Maxima. Springer. ISBN 978-1-4939-3206-1.

Referencer[redigér | rediger kildetekst]

^ ^a ^b Maxima, a Computer Algebra System
^ https://www.zqs.uni-hannover.de/fileadmin/zqs/PDF/E-Learning/Einfu__hrung_ins_ILIAS_-_STACK.pdf
^ ^a ^b Maxima - Downloads
^ GitHub - robert-dodier/maxima-jupyter: A Maxima kernel for Jupyter, based on CL-Jupyter (Common Lisp kernel)
^ "GMaxima :: Home". Arkiveret fra originalen 28. juli 2018. Hentet 10. januar 2020.
^ ^a ^b ^c ^d ^e ^f ^g Maxima Examples (Webside ikke længere tilgængelig)
^ Maxima - The Authorization Letter
^ Tutorial Software Maxima #2: Primeros Pasos - YouTube
^ [https://web.archive.org/web/20200101040713/https://sourceforge.net/p/maxima/code/ci/master/tree/ChangeLog-5.43.md Arkiveret 1. januar 2020 hos Wayback Machine Maxima - GPL CAS based on DOE-MACSYMA / Code / [264408] /ChangeLog-5.43.md]
^ https://www.mb.uni-siegen.de/kobelev/maxima.pdf
^ https://www.mathematik.uni-kassel.de/ACA2016/docs/ACAproc.pdf
^ 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 23. december 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 23. december 2020.
^ "Arkiveret kopi". Arkiveret fra originalen 23. oktober 2020. Hentet 20. 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/
^ https://www.maximaonline.com

[autogeneret1-1] Maxima, a Computer Algebra System

[2] ttps://www.zqs.uni-hannover.de/fileadmin/zqs/PDF/E-Learning/Einfu__hrung_ins_ILIAS_-_STACK.pdf

[:0-3] Maxima - Downloads

[4] GitHub - robert-dodier/maxima-jupyter: A Maxima kernel for Jupyter, based on CL-Jupyter (Common Lisp kernel)

[5] "GMaxima :: Home". Arkiveret fra originalen 28. juli 2018. Hentet 10. januar 2020.

[:1-6] ^ ^a ^b ^c ^d ^e ^f ^g Maxima Examples (Webside ikke længere tilgængelig)

[7] Maxima - The Authorization Letter

[8] Tutorial Software Maxima #2: Primeros Pasos - YouTube

[9] [https://web.archive.org/web/20200101040713/https://sourceforge.net/p/maxima/code/ci/master/tree/ChangeLog-5.43.md Arkiveret 1. januar 2020 hos Wayback Machine Maxima - GPL CAS based on DOE-MACSYMA / Code / [264408] /ChangeLog-5.43.md]

[10] ttps://www.mb.uni-siegen.de/kobelev/maxima.pdf

[11] ttps://www.mathematik.uni-kassel.de/ACA2016/docs/ACAproc.pdf

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

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

[14] "Arkiveret kopi". Arkiveret fra originalen 12. januar 2020. Hentet 23. december 2020.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[29] "Arkiveret kopi". Arkiveret fra originalen 20. juli 2017. Hentet 23. december 2020.

[:10-30] "Arkiveret kopi". Arkiveret fra originalen 23. oktober 2020. Hentet 20. december 2020.

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

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

[:9-33] ttps://ti89-simulator.com/

[:8-34] ttps://tiplanet.org/emu68k_fork/

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

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

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

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

[39] ttps://www.maximaonline.com

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