Singular

Singular (ifølge egen hjemmeside skrives navnet SINGULAR) er et frit open-source computerprogram^[1] af typen Computer Algebra System (CAS)^[2] til brug indenfor regning og matematik.^[3] Singular findes til flere styresystemer og står under GNU General Public License.

Programmeringssprog

Singular er skrevet i programmeringssproget C++^[4]

Styresystemer

Singular findes til de tre styresystemer:

Til programmets features hører

Løse differentialligninger^[5] (se tabel nedenfor)

Historie

Singular er udviklet af et forskerteam ved Technische Universität Kaiserslautern i Rheinland-Pfalz, Tyskland. Til forskerteamet hører Wolfram Decker, Gert-Martin Greuel, Gerhard Pfister og Hans Schönemann.

Se også

Singular hører til denne gruppe^[6] af CAS-softwares^[7]

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			^[8]
ExpressionsinBar	freeware eller fri software	?		64 bit app for macOS			desolve( $y'=b\cdot y-a$ , $y$ )	^[9]
GeoGebra	freeware eller fri software	java	Windows	macOS	Linux	Android & iOS	SolveODE(^[10]	også som web app^[11]
Maple *	kommerciel	C, Java, Maple	Windows	macOS	Linux		dsolve $(y'(x)=k\cdot y(x)$ , $y(x))$ ^[12]	^[13]
Mathematica *	kommerciel	Wolfram Language, Lisp	Windows	macOS	Linux	Solaris	DSolve( $y'=k\cdot y$ , $y$ )^[14]	også som web^[15] app^[16]
MATLAB	kommerciel	C/C++, MATLAB	Windows	macOS	Linux			^[17]
Maxima	freeware eller fri software	Common Lisp	Windows	macOS	Linux	Android	ode2 (eqn, dvar, ivar)^[18]	også som online app^[19]
SageMath	freeware eller fri software	Python 3	Windows	macOS	Linux		desolve( $y'=b\cdot y-a$ , $y$ )^[20]	^[21]
Singular	freeware eller fri software	C++	Windows	macOS	Linux			findes^[22] også online^[23]
TI-Nspire CX CAS	kommerciel	?	Windows	macOS			deSolve( $y'=b\cdot y-a$ , $x$ , $y$ )^[24]	^[25]^[26]
TI-89 simulator & TI-92 Plus emulator	freeware eller fri software	?	online				deSolve( $y'=b\cdot y-a$ , $x$ , $y$ )	^[27]^[28]
Xcas	freeware eller fri software	C++	Windows	macOS	Linux	Android	desolve( $y'=b\cdot y-a$ , $y$ )^[29]	^[30]
Yacas	freeware eller fri software	C++	Windows	macOS	Linux		OdeSolve( $y''-4*y==0$ )^[31]	^[32]

* løser også triple integraler.

Eksterne henvisninger

https://www.singular.uni-kl.de/
List of computer algebra systems (engelsk)

Online manual

https://www.singular.uni-kl.de/Manual/4-0-2/sing_469.htm

Artikler

G.-M. Greuel, G. Pfister: A Singular Introduction to Commutative Algebra (with contributions by O. Bachmann, C. Lossen, and H. Schönemann). Springer-Verlag, Berlin – Heidelberg – New York, 2002, ISBN 3-540-42897-6.
C. Lossen, H. Schönemann: 21 Years of Singular Experiments in Mathematics. In: C. Lossen and G. Pfister (Herausgeber), Singularities and Computer Algebra. Lecture Notes of LMS, Cambridge University Press, 2006, ISBN 0-521-68309-2.
C: Lossen, W. Decker: Computing in Algebraic Geometry: A Quick Start using SINGULAR. Springer-Verlag, Berlin – Heidelberg – New York, 2006, ISBN 3-540-28992-5.

Referencer

↑ Related projects
↑ Related projects
↑ SymbolicData Standalone Info Page^{[permanent dødt link]}
↑ The Singular Open Source Project on Open Hub: Languages Page
↑ zbMATH - the first resource for mathematics
↑ 20 Best Computer Algebra Systems for Linux
↑ "Comparison of computer algebra systems". Arkiveret fra originalen 7. august 2018. Hentet 24. december 2020.
↑ "CPMP-Tools Software". Arkiveret fra originalen 12. januar 2020. Hentet 23. december 2020.
↑ ExpressionsinBar
↑ "SolveODE Command - GeoGebra Manual". Arkiveret fra originalen 30. november 2020. Hentet 22. december 2020.
↑ GeoGebra Classic - GeoGebra
↑ interactive - Maple 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
↑ "Introduction to QUADPACK (Maxima 5.47.0 Manual)". Arkiveret fra originalen 4. november 2021. Hentet 23. december 2020.
↑ Online Algebra Calculator | Maxima-online
↑ Solving ordinary differential equations - Symbolic Calculus
↑ SageMath - Open-Source Mathematical Software System
↑ Singular
↑ "Singular". Arkiveret fra originalen 20. juli 2017. Hentet 23. december 2020.
↑ "Differentialligninger". Arkiveret fra originalen 23. oktober 2020. Hentet 20. december 2020.
↑ "Download Your TI-Nspire™ CAS Student Software". Arkiveret fra originalen 20. august 2021. Hentet 20. december 2020.
↑ eGuide til teknologien i TI-Nspire™ - 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

[1] Related projects

[2] Related projects

[3] SymbolicData Standalone Info Page^{[permanent dødt link]}

[4] The Singular Open Source Project on Open Hub: Languages Page

[5] zbMATH - the first resource for mathematics

[6] 20 Best Computer Algebra Systems for Linux

[7] "Comparison of computer algebra systems". Arkiveret fra originalen 7. august 2018. Hentet 24. december 2020.

[8] "CPMP-Tools Software". Arkiveret fra originalen 12. januar 2020. Hentet 23. december 2020.

[9] ExpressionsinBar

[10] "SolveODE Command - GeoGebra Manual". Arkiveret fra originalen 30. november 2020. Hentet 22. december 2020.

[11] GeoGebra Classic - GeoGebra

[12] teractive - Maple Help

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

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

[15] Wolfram|Alpha: Computational Intelligence

[16] Wolfram Mathematica: Modern Technical Computing

[17] MATLAB

[18] "Introduction to QUADPACK (Maxima 5.47.0 Manual)". Arkiveret fra originalen 4. november 2021. Hentet 23. december 2020.

[19] Online Algebra Calculator | Maxima-online

[20] Solving ordinary differential equations - Symbolic Calculus

[21] SageMath - Open-Source Mathematical Software System

[22] Singular

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

[:10-24] "Differentialligninger". Arkiveret fra originalen 23. oktober 2020. Hentet 20. december 2020.

[25] "Download Your TI-Nspire™ CAS Student Software". Arkiveret fra originalen 20. august 2021. Hentet 20. december 2020.

[26] Guide til teknologien i TI-Nspire™ - Texas Instruments

[:9-27] TI-89 Online Simulator

[:8-28] TI-89 / TI-92+ / TI-V200 / TI-89T emulator (beta version 12-debrouxl)

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

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

[31] Differential Equations — Yacas

[32] Yacas

[1]

[2]

[3]

[4]

[5]

[6]

[7]

[8]

[9]

[10]

[11]

[12]

[13]

[14]

[15]

[16]

[17]

[18]

[19]

[20]

[21]

[22]

[23]

[24]

[25]

[26]

[27]

[28]

[29]

[30]

[31]

[32]