Yacas

Yacas er akronym for Yet Another Computer Algebra System, er et frit Computer Algebra System (CAS).

Yacas anvendes i regning og matematik samt naturvidenskaber og ingiørvidenskaber.^[1] Yacas kan foretage symbolsk manipulation af matematiske udtryk.^[2]

Yacas er offentliggjort som GNU Lesser General Public License.

Der findes en interface til Yacas ved navn Ryacas.^[3]

Programmeringssprog redigér

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

Historie redigér

Yacas blev lanceret i 1999.^[5]

Features og kommanoer (uddrag) redigér

Yacas kan bl.a.:^[6]^[7]

Anvendes som basal lommeregner
Beregne binominalkoefficienter (dette er et eksempel): Bin(10, 4)
Beregne permutationer (dette er et eksempel): Permutations({a,b,c})
Løse ligninger: solve(ligning,x)
Løse differentialligninger, [se tabel nedenfor] (dette er et eksmpel): OdeSolve( y + y == 0 )
Differentiere: D(funktion,x)
Integrere: Integrate(funktion,x)
Beregne vektorprodukt alias krydsprodukt: CrossProduct(u, v)
Beregne determinant af en matrix: Determinant(M)
Tegne funktioners grafer (2D såvel som 3D)
Yacas er et programerbart software^[8]

Yacas har flere kommandoer til fælles med andre programmer^[9]^[10] bl.a.: Mathematica,^[11] Maple,^[12]^[13] Xcas^[14] og GeoGebra^[15] samt med grafregnerne TI-89,^[16] TI-92, Voyage 200 og TI-Nspire.

Styresystemer redigér

Yacas findes til disse tre styresystemer:

Se også redigér

Yacas hører til denne gruppe^[17] af CAS-softwares^[18]

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			^[19]
ExpressionsinBar	freeware eller fri software	?		64 bit app for macOS			desolve( $y'=b\cdot y-a$ , $y$ )	^[20]
GeoGebra	freeware eller fri software	java	Windows	macOS	Linux	Android & iOS	SolveODE(^[21]	også som web app^[22]
Maple *	kommerciel	C, Java, Maple	Windows	macOS	Linux		dsolve $(y'(x)=k\cdot y(x)$ , $y(x))$ ^[23]	^[24]
Mathematica *	kommerciel	Wolfram Language, Lisp	Windows	macOS	Linux	Solaris	DSolve( $y'=k\cdot y$ , $y$ )^[25]	også som web^[26] app^[27]
MATLAB	kommerciel	C/C++, MATLAB	Windows	macOS	Linux			^[28]
Maxima	freeware eller fri software	Common Lisp	Windows	macOS	Linux	Android	ode2 (eqn, dvar, ivar)^[29]	også som online app^[30]
SageMath	freeware eller fri software	Python 3	Windows	macOS	Linux		desolve( $y'=b\cdot y-a$ , $y$ )^[31]	^[32]
Singular	freeware eller fri software	C++	Windows	macOS	Linux			findes^[33] også online^[34]
TI-Nspire CX CAS	kommerciel	?	Windows	macOS			deSolve( $y'=b\cdot y-a$ , $x$ , $y$ )^[35]	^[36]^[37]
TI-89 simulator & TI-92 Plus emulator	freeware eller fri software	?	online				deSolve( $y'=b\cdot y-a$ , $x$ , $y$ )	^[38]^[39]
Xcas	freeware eller fri software	C++	Windows	macOS	Linux	Android	desolve( $y'=b\cdot y-a$ , $y$ )^[40]	^[41]
Yacas	freeware eller fri software	C++	Windows	macOS	Linux		OdeSolve( $y''-4*y==0$ )^[42]	^[43]

* løser også triple integraler.

Referencer redigér

^ "Arkiveret kopi". Arkiveret fra originalen 26. juni 2018. Hentet 6. januar 2020.
^ https://cran.curtin.edu.au/web/packages/Ryacas/Ryacas.pdf
^ "Arkiveret kopi" (PDF). Arkiveret fra originalen (PDF) 6. marts 2021. Hentet 6. januar 2020.
^ The yacas Open Source Project on Open Hub: Languages Page. (https://www.openhub.net/ p/yacas/analyses/latest/languages_summary) In: Open Hub. (abgerufen am 30. Oktober 2018).
^ Pinkus, Ayal Z.; Winitzki, Serge (2002), "Yacas : A Do-It-Yourself Symbolic Algebra Environment", Artificial Intelligence, Automated Reasoning, and Symbolic Computation (htt p://www.springerlink.com/content/j368wkh0yq00bdp3/ (Webside ikke længere tilgængelig)), Lecture Notes in Computer Science, 2385, Springer, pp. 332–336
^ Reference Manual — Yacas. (https://yacas.readthedocs.io/en/latest/reference_manual/inde (Webside ikke længere tilgængelig) x.html)
^ Tutorial — Yacas. (https://yacas.readthedocs.io/en/latest/tutorial/)
^ https://dblp.uni-trier.de/rec/html/conf/aisc/PinkusW02
^ https://publikationen.sulb.uni-saarland.de/bitstream/20.500.11880/26153/1/goguadzeDiss2011.pdf
^ https://www.mathematik.uni-kassel.de/ACA2016/docs/ACAproc.pdf
^ http://web.mit.edu/axiom-math_v8.14/arch/amd64_ubuntu1404/mnt/ubuntu64/doc/rosetta.pdf
^ A brief list of the most important commands in YACAS, with examples. (http://lateblt.tripod.c (Webside ikke længere tilgængelig) om/yacas.htm)
^ https://www.bccms.uni-bremen.de/fileadmin/BCCMS/CMS/lehre/compsoft1/02_Maple_Intro.pdf
^ yaCAS - xCAS for nspire blue. (https://www.omnimaga.org/ti-nspire-projects/yacas-xcas-for- nspire-blue/)
^ https://www.dms.uni-landau.de/roth/veroeffentlichungen/systematische_variation_vernetzung_geometrie_algebra/roth_systematische_variation_eine_lernumgebung_vernetzt_geometrie_und_algebra.pdf
^ https://sourceforge.net/p/yacas/mailman/yacas-devel/thread/482EFAFB.8050008@cesmail.net/
^ 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/

Eksterne henvisninger redigér

Officiel hjemmeside
List of computer algebra systems (engelsk)

[1] "Arkiveret kopi". Arkiveret fra originalen 26. juni 2018. Hentet 6. januar 2020.

[2] ttps://cran.curtin.edu.au/web/packages/Ryacas/Ryacas.pdf

[3] "Arkiveret kopi" (PDF). Arkiveret fra originalen (PDF) 6. marts 2021. Hentet 6. januar 2020.

[4] The yacas Open Source Project on Open Hub: Languages Page. (https://www.openhub.net/ p/yacas/analyses/latest/languages_summary) In: Open Hub. (abgerufen am 30. Oktober 2018).

[5] Pinkus, Ayal Z.; Winitzki, Serge (2002), "Yacas : A Do-It-Yourself Symbolic Algebra Environment", Artificial Intelligence, Automated Reasoning, and Symbolic Computation (htt p://www.springerlink.com/content/j368wkh0yq00bdp3/ (Webside ikke længere tilgængelig)), Lecture Notes in Computer Science, 2385, Springer, pp. 332–336

[6] Reference Manual — Yacas. (https://yacas.readthedocs.io/en/latest/reference_manual/inde (Webside ikke længere tilgængelig) x.html)

[7] Tutorial — Yacas. (https://yacas.readthedocs.io/en/latest/tutorial/)

[8] ttps://dblp.uni-trier.de/rec/html/conf/aisc/PinkusW02

[9] ttps://publikationen.sulb.uni-saarland.de/bitstream/20.500.11880/26153/1/goguadzeDiss2011.pdf

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

[11] ttp://web.mit.edu/axiom-math_v8.14/arch/amd64_ubuntu1404/mnt/ubuntu64/doc/rosetta.pdf

[12] A brief list of the most important commands in YACAS, with examples. (http://lateblt.tripod.c (Webside ikke længere tilgængelig) om/yacas.htm)

[13] ttps://www.bccms.uni-bremen.de/fileadmin/BCCMS/CMS/lehre/compsoft1/02_Maple_Intro.pdf

[14] yaCAS - xCAS for nspire blue. (https://www.omnimaga.org/ti-nspire-projects/yacas-xcas-for- nspire-blue/)

[15] ttps://www.dms.uni-landau.de/roth/veroeffentlichungen/systematische_variation_vernetzung_geometrie_algebra/roth_systematische_variation_eine_lernumgebung_vernetzt_geometrie_und_algebra.pdf

[16] ttps://sourceforge.net/p/yacas/mailman/yacas-devel/thread/482EFAFB.8050008@cesmail.net/

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[:10-35] "Arkiveret kopi". Arkiveret fra originalen 23. oktober 2020. Hentet 20. december 2020.

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

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

[:9-38] ttps://ti89-simulator.com/

[:8-39] ttps://tiplanet.org/emu68k_fork/

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

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

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

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

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