SageMath

SageMath
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SageMath(forkortelse for eng.System forAlgebra andGeometryExperimentationMathematics) er etfrit open-source-software,^[2]der er underlagtGNU General Public License.SageMath anvendes til at løsematematiskeproblemstillinger, for SageMath er etComputer Algebra System(CAS), der kan løse en række opgaver indenfor bl.a.algebraogtalteori.SageMath findes til flerestyresystemer.

Programmeringssprog

SageMath version 9.0 (som er lanceret i januar2020) er skrevet iPython3.^[3]^[4]

Styresystemer

SageMath findes til disse tre styresystemer:

SageMath kan løse problemstillinger indenfor

Algebra (herunderLineær AlgebraogKommutativ Algebra)
Ligninger
Differentialregning
Integralregning
Differentialligninger(se tabel nedenfor)
Talteori
Tegnefunktioners grafer(2D såvel som 3D)^[5]

Features og kommandoer (uddrag)^[6]

Løseligning:sage: x = var('x')

sage: solve(x^2 + 3*x + 2, x)

[x == -2, x == -1]

Beregnedifferentialkvotient:sage: u = var('u')

sage: diff(sin(u), u)

cos(u)

Beregnestamfunktion:sage: integral(x*sin(x^2), x)

-1/2*cos(x^2)

sage: integral(x/(x^2+1), x, 0, 1)

1/2*log(2)

Løsedifferentialligning:sage: t = var('t') # define a variable t

sage: x = function('x')(t) # define x to be a function of that variable

sage: DE = diff(x, t) + x - 1

sage: desolve(DE, [x,t])

(_C + e^t)*e^(-t)

Historie

SageMath har tidligere heddetSageellerSAGE.Den første version af SageMath blev offentliggjort i2005af den amerikanske matematikerprofessor William Arthur Stein.^[7]Professor Steins intention med at designe og publicere SageMath var at fremstille et frit open-source-alternativ til de kommercielle CAS-programmer som eksempelvisMagma,Maple,Mathematica,andMatlab.^[8]

Tidligere versioner af SageMath blev skrevet iPython;men fremtidige versioner af SageMath vil blive skrevet i programmeringssproget C for at øge den hastighed, hvormed SageMath beregner.^[9]

Siden 2017 findes der en række forklarende videoer om SageMath.^[10]^[11]

Hæder

William A. Stein og hans team af udviklere har modtaget en række priser for deres arbejde. Således blev SageMath i2007belønnet med førstepræmien i kategorienLogiciels scientifiques(videnskabeligt software) ved den verdensomspændende konkurrenceLes Trophées du Librefor open-source-software.^[12]I2013fik SageMath tildeltSIGSAM Jenks PrizeafAssociation for Computing Machinery(ACM).^[13]^[14]

SageMath er omtalt på flere universiteters hjemmesider

Harvard University^[2]
San Diego State Universityhar entutorialom SageMath på sin hjemmeside.^[15]
Fleretyskeuniversiteter^[16]^[17]^[18]
Københavns Universitet^[19]

Se også

SageMath hører til dennegruppe^[20]afCAS-softwares^[21]

Navn	Software licens	Programmeringssprog	MS Windows	macOS	Linux	Andre OS	Kommando løserdifferentialligning	Note og kilde
CPMP-Tools	freeware eller fri software	java	Windows	macOS	Linux			^[22]
ExpressionsinBar	freeware eller fri software	?		64 bit app for macOS			desolve( $y'=b\cdot y-a$ , $y$ )	^[23]
GeoGebra	freeware eller fri software	java	Windows	macOS	Linux	Android & iOS	SolveODE(^[24]	også som web app^[25]
Maple*	kommerciel	C, Java, Maple	Windows	macOS	Linux		dsolve $(y'(x)=k\cdot y(x)$ , $y(x))$ ^[26]	^[27]
Mathematica*	kommerciel	WolframLanguage, Lisp	Windows	macOS	Linux	Solaris	DSolve( $y'=k\cdot y$ , $y$ )^[28]	også som web^[29]app^[30]
MATLAB	kommerciel	C/C++, MATLAB	Windows	macOS	Linux			^[31]
Maxima	freeware eller fri software	Common Lisp	Windows	macOS	Linux	Android	ode2 (eqn, dvar, ivar)^[32]	også som online app^[33]
SageMath	freeware eller fri software	Python3	Windows	macOS	Linux		desolve( $y'=b\cdot y-a$ , $y$ )^[34]	^[3]
Singular	freeware eller fri software	C++	Windows	macOS	Linux			findes^[35]også online^[36]
TI-Nspire CX CAS	kommerciel	?	Windows	macOS			deSolve( $y'=b\cdot y-a$ , $x$ , $y$ )^[37]	^[38]^[39]
TI-89simulator &TI-92Plus emulator	freeware eller fri software	?	online				deSolve( $y'=b\cdot y-a$ , $x$ , $y$ )	^[40]^[41]
Xcas	freeware eller fri software	C++	Windows	macOS	Linux	Android	desolve( $y'=b\cdot y-a$ , $y$ )^[42]	^[43]
Yacas	freeware eller fri software	C++	Windows	macOS	Linux		OdeSolve( $y''-4*y==0$ )^[44]	^[45]

* løser ogsåtriple integraler.

Eksterne Henvisninger

https://www.sagemath.org
List of computer algebra systems(engelsk)

Referencer

^"Sagemath.org Site Info".Alexa Internet.Arkiveret fraoriginalen14. januar 2020.Hentet2018-02-13.
^^a ^bIntroduction to Python
^^a ^bSageMath - Open-Source Mathematical Software System
^http://www.algebra.uni-linz.ac.at/people/mkauers/publications/kauers19c.pdf
^SageMath - Tour
^Basic Algebra and Calculus — Sage Tutorial v9.2
^https://wstein.org
^SageMath - Development
^Sage: Open Source Mathematics Software: Cython, Sage, and the Need for Speed
^Sage Tutorial Video - YouTube
^Tutorial 1: Getting started with SageMath - YouTube
^https://www.sciencedaily.com/releases/2007/12/071206145213.htm
^http://www.sigsam.org/awards/jenks/a(Webside ikke længere tilgængelig)wardees/2013/
^SageMath - Acknowledgment
^About this tutorial — SDSU Sage Tutorial v1.2
^Toric Geometry and Sage - Arnold Sommerfeld Center - LMU Munich
^Sage – Doc-Wiki
^Mod-p Group Cohomology Package — "p_group_cohomology" 3.3.2 documentation
^Arithmetic statistics of modular symbols
^Top 20 Best Computer Algebra Systems for Linux in 2020
^Comparison of computer algebra systems
^"CPMP-Tools Software".Arkiveret fraoriginalen12. januar 2020.Hentet 23. december 2020.
^ExpressionsinBar
^SolveODE Command - GeoGebra Manual
^GeoGebra Classic - GeoGebra
^interactive symbolic and numeric solution of ordinary differential equations - Maple Programming Help
^https://www.maplesoft.com/
^Introduction to Differential Equation Solving with DSolve—Wolfram Language Documentation
^Wolfram|Alpha: Computational Intelligence
^Wolfram Mathematica: Modern Technical Computing
^MATLAB - MathWorks - MATLAB & Simulink
^Functions and Variables for Differential Equations (Maxima 5.44.0 Manual)
^Online Algebra Calculator | Maxima-online
^Solving ordinary differential equations — Sage 9.2 Reference Manual: Symbolic Calculus
^Singular
^"Singular".Arkiveret fraoriginalen20. juli 2017.Hentet 23. december 2020.
^"Differentialligninger - TI-nspire hjælp".Arkiveret fraoriginalen23. oktober 2020.Hentet 20. december 2020.
^"Download Your TI-Nspire™ CAS Student Software - Texas Instruments - US and Canada".Arkiveret fraoriginalen20. august 2021.Hentet 20. december 2020.
^Undervisningmidler - Texas Instruments
^TI-89 Online Simulator
^TI-89 / TI-92+ / TI-V200 / TI-89T emulator (beta version 12-debrouxl)
^http://www-fourier.ujf-grenoble.fr/~parisse/giac/cascmd_en.pdf
^Giac/Xcas, a free computer algebra system
^Differential Equations — Yacas
^Yacas

[alexa-1] "Sagemath.org Site Info".Alexa Internet.Arkiveret fraoriginalen14. januar 2020.Hentet2018-02-13.

[:0-2] Introduction to Python

[autogeneret1-3] SageMath - Open-Source Mathematical Software System

[4] ttp://www.algebra.uni-linz.ac.at/people/mkauers/publications/kauers19c.pdf

[5] SageMath - Tour

[6] Basic Algebra and Calculus — Sage Tutorial v9.2

[7] ttps://wstein.org

[8] SageMath - Development

[9] Sage: Open Source Mathematics Software: Cython, Sage, and the Need for Speed

[10] Sage Tutorial Video - YouTube

[11] Tutorial 1: Getting started with SageMath - YouTube

[12] ttps://www.sciencedaily.com/releases/2007/12/071206145213.htm

[13] ttp://www.sigsam.org/awards/jenks/a(Webside ikke længere tilgængelig)wardees/2013/

[14] SageMath - Acknowledgment

[15] About this tutorial — SDSU Sage Tutorial v1.2

[16] Toric Geometry and Sage - Arnold Sommerfeld Center - LMU Munich

[17] Sage – Doc-Wiki

[18] Mod-p Group Cohomology Package — "p_group_cohomology" 3.3.2 documentation

[19] Arithmetic statistics of modular symbols

[20] Top 20 Best Computer Algebra Systems for Linux in 2020

[21] Comparison of computer algebra systems

[22] "CPMP-Tools Software".Arkiveret fraoriginalen12. januar 2020.Hentet 23. december 2020.

[23] ExpressionsinBar

[24] SolveODE Command - GeoGebra Manual

[25] GeoGebra Classic - GeoGebra

[26] teractive symbolic and numeric solution of ordinary differential equations - Maple Programming Help

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

[28] Introduction to Differential Equation Solving with DSolve—Wolfram Language Documentation

[29] Wolfram|Alpha: Computational Intelligence

[30] Wolfram Mathematica: Modern Technical Computing

[31] MATLAB - MathWorks - MATLAB & Simulink

[32] Functions and Variables for Differential Equations (Maxima 5.44.0 Manual)

[33] Online Algebra Calculator | Maxima-online

[34] Solving ordinary differential equations — Sage 9.2 Reference Manual: Symbolic Calculus

[35] Singular

[36] "Singular".Arkiveret fraoriginalen20. juli 2017.Hentet 23. december 2020.

[:10-37] "Differentialligninger - TI-nspire hjælp".Arkiveret fraoriginalen23. oktober 2020.Hentet 20. december 2020.

[38] "Download Your TI-Nspire™ CAS Student Software - Texas Instruments - US and Canada".Arkiveret fraoriginalen20. august 2021.Hentet 20. december 2020.

[39] Undervisningmidler - Texas Instruments

[:9-40] TI-89 Online Simulator

[:8-41] TI-89 / TI-92+ / TI-V200 / TI-89T emulator (beta version 12-debrouxl)

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

[43] Giac/Xcas, a free computer algebra system

[44] Differential Equations — Yacas

[45] Yacas

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[[Fil:\|113px]]
Platform	Personal computersandweb platform IA-32,x86-64,ARM,Itanium,SPARC
Alexarang	84,833 (Skabelon:As of)^[1]