Se kilde til Xcas

{{Infoboks software
|navn=Xcas
|logo=
|skærmbillede=xcas.png
|billedtekst=Xcas
|skaber=Bernard Parisse
|udgivet={{Start date and age|df=yes|2000}}
|nyeste_version=1.4.9-45
|nyeste_version_udgivet=januar 2018
|programmerings_sprog=[[C++]]
|operativsystem=[[Microsoft Windows|Windows]], [[macOS]], [[Linux]], [[FreeBSD]], [[Google Android|Android]], [[iOS (Apple)|iOS]]
|type=[[Computer Algebra System]] (CAS)
|licens=[[GNU]] [[GNU General Public License|GPL]]
|hjemmeside={{URL|www-fourier.ujf-grenoble.fr/~parisse/giac.html}}
}}
[[Fil:Xcas icon 2.png|thumb|fig. 1: Ikon for Xcas, the swiss knife for mathematics.]]
[[Fil:Xcas 1.5 running on windows 10.png|thumb|fig. 2: Xcas på [[Microsoft Windows 10|Windows 10]]]]
[[Fil:Xcas brøk ny.png|thumb|fig. 3: Fællesnævner er overflødig: Xcas klarer brøkregning uden fælles nævner. (Kun ved division med en brøk er parenteser nødvendige.)]]
[[Fil:Xcas løser ligning, beregner differentialkvotient og stamfunktion mm.png|thumb|fig. 4: Xcas løser [[ligning]]<ref>{{Cite web |url=https://www.mathematicus.dk/matematik/kernestof/Regning.pdf |title=Arkiveret kopi |access-date= 1. juni 2021 |archive-date= 2. juni 2021 |archive-url=https://web.archive.org/web/20210602220036/https://www.mathematicus.dk/matematik/kernestof/Regning.pdf |url-status=dead }}</ref> og faktoriserer [[andengradspolynomium]] bl.a.]]
[[Fil:Ny Xcas differentierer og integrerer.png|thumb|fig. 5: Xcas [[Differentialregning|differentierer]]<ref>[https://www.mathematicus.dk/matematik/kernestof/Differentialregning.pdf Differentialregning<!-- Botgenereret titel -->]</ref> og [[Integralregning|integrerer]].<ref>[https://www.mathematicus.dk/matematik/kernestof/Integralregning.pdf Integralregning<!-- Botgenereret titel -->]</ref><ref>https://www.matematikfysik.dk/mat/noter_tillaeg/integralregning.pdf</ref>]]
[[Fil:Xcas forsøg Xcas løser differentialligninger algebraisk.png|thumb|fig. 6: Xcas løser såvel første ordens som anden ordens [[differentialligning]]er<ref>[https://www.mathematicus.dk/matematik/kernestof/Differentialligninger.pdf Differentialligninger<!-- Botgenereret titel -->]</ref> [[algebra]]isk.<ref>https://emu.dk/sites/default/files/2019-11/mat-A-stx-formelsamling-feb-2019.pdf</ref>]]
'''Xcas''', '''the swiss knife for mathematics,'''<ref name="autogeneret8">[https://www-fourier.ujf-grenoble.fr/~parisse/giac.html Giac/Xcas, a free computer algebra system<!-- Botgenereret titel -->]</ref> er et [[fri software|frit]],<ref>{{Cite web |url=https://getalternative.net/software/berkeley-madonna |title=Arkiveret kopi |access-date=20. april 2020 |archive-date=12. april 2021 |archive-url=https://web.archive.org/web/20210412124118/https://getalternative.net/software/berkeley-madonna |url-status=dead }}</ref> [[open source]]<ref>https://dergipark.org.tr/en/download/article-file/508335</ref> [[computerprogram]] til brug i [[Aritmetik|regning]] og [[matematik]]. Xcas er et [[Computer Algebra System]] (CAS),<ref name=":1">https://mpra.ub.uni-muenchen.de/63898/1/MPRA_paper_63898.pdf</ref> der kan løse [[ligning]]er (fig. 4) og [[differentialligning]]er (fig. 6) m.m. ved symbolmanipulation.<ref>[https://lwn.net/Articles/710537/ Symbolic mathematics on Linux] på lwn.net</ref>

Basalt set er Xcas en brugergrænseflade til '''Giac''',<ref>[https://melusine.eu.org/syracuse/giac/ Présentation<!-- Botgenereret titel -->]</ref> som er skrevet i [[programmeringssprog]]et [[C++]]<ref name="autogeneret1">[https://www.semanticscholar.org/topic/Xcas/472762 Xcas | Semantic Scholar<!-- Botgenereret titel -->]</ref> og Xcas virker i [[offline]]-tilstand til flere [[styresystem]]er.<ref name=":0">[https://www.scribd.com/document/363002275/Xcas-Calcul-Formel-Lycee Xcas Calcul Formel Lycee | Intégral | Variable (Mathématiques)<!-- Botgenereret titel -->]</ref>

== Features (uddrag) ==
Flere af disse features er fælles for Xcas & [[GeoGebra]]:<ref name=":3">[https://wiki.geogebra.org/en/Manual GeoGebra Manual<!-- Botgenereret titel -->]</ref>
* Xcas er bl.a. en basal [[lommeregner]], der kan skrive [[TI-89|pretty print]] ligesom [[LaTeX]]<ref>[http://bernard.parisse.pagesperso-orange.fr/english.html Giac/Xcas, free computer algebra system<!-- Botgenereret titel -->]</ref> og flere [[equation editor]]s. Dertil kommer, at Xcas kan vise [[input]].
* Xcas fungerer også som [[regneark]].<ref>[https://www.yumpu.com/en/document/read/21966726/xcas-reference-card Xcas reference card<!-- Botgenereret titel -->]</ref>
* [[Faktorisering|faktorisere]] [[Polynomium|polynomier]]
* tegne [[Funktion (matematik)|funktioners]] [[graf]]er (såvel 2-d som 3-d)<ref name="autogeneret3" />
* løse [[ligning]]er<ref>https://melusine.eu.org/syracuse/giac/exemples.pdf</ref> endda med [[Komplekse tal|komplekse rødder]] eller [[Komplekse tal|komplekse]] løsninger<ref>https://webusers.imj-prg.fr/~frederic.han/xcas/giacpy/giacpy_sage-doc.pdf</ref> (fig. 4)
* løse [[Trigonometrisk funktion|trigonometriske]] ligninger
* løse [[differentialligning]]er<ref>[https://ui.adsabs.harvard.edu/abs/2011AIPC.1389.1769H/abstract Xcas as a Programming Environment for Stability Conditions for a Class of Differential Equation Models in Economics - NASA/ADS<!-- Botgenereret titel -->]</ref><ref>http://www.technicalc.org/benchmark/benchmark.pdf</ref> (se fig. 6 og tabel nedenfor)<ref>[https://link.springer.com/chapter/10.1007%2F978-3-319-69242-5_6 Integration and Differential Equations | SpringerLink<!-- Botgenereret titel -->]</ref>
* beregne [[Regneregler for differentiation|differentialkvotienter]] og dermed [[differentialregning]]<ref>[https://ljk.imag.fr/membres/Bernard.Ycart/polys/dxcas/dxcas.pdf dxcas.dvi<!-- Botgenereret titel -->]</ref> (se fig. 5)
* beregne [[stamfunktion]]er og således [[integralregning]]<ref>[http://briand-lyc.spip.ac-rouen.fr/IMG/pdf/xcas_fonctions.pdf Les fonctions de XCAS<!-- Botgenereret titel -->]</ref> (se fig. 5)
* beregne [[areal]]er og [[Bestemt integrale|bestemte integraler]]
* beregne flere [[Regressionsanalyse|regressionstyper]] ([[Eksponentiel vækst|eksponentiel]], [[Lineær funktion|lineær]],<ref>[http://casedesmaths.net/images/pour_tous/xcas.pdf Prise en main de Xcas<!-- Botgenereret titel -->]</ref> [[Logaritme|logaritmisk]], [[Logistisk vækst|logistisk]], polynomial, potens)
* [[programmering]]<ref>[https://pdfs.semanticscholar.org/c0b7/94d15e63ffcf94824df451c05e4d5a79900c.pdf [PDF&#93; Using Xcas in Calculus Curricula: a Plan of Lectures and Laboratory Projects | Semantic Scholar<!-- Botgenereret titel -->]</ref><ref>http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.580.4878&rep=rep1&type=pdf</ref>

== Kommandoer (uddrag) ==
Uddrag af manualen ''Symbolic algebra and Mathematics with Xcas'':<ref name="autogeneret6">http://www-fourier.ujf-grenoble.fr/~parisse/giac/cascmd_en.pdf</ref>

* Tegne funktions graf: plot(forskrift)
* Tegne en lodret linje: line(forskrift) f.eks. line(<math>x=1</math>)
* [[Kvadratrod]]: sqrt(49) = 7
* propfrac(42/15) = 2+4/5
* Beregne [[determinant]] af en matriks: det([1,2],[3,4]) = -2
* Beregne [[gennemsnit]] alias middeltal: mean([3,4,2]) = 3
* Beregne [[standardafvigelse]]: stddev([3,4,2]) = sqrt(2/3)
* Beregne varians: variance([3,4,2]) = 2/3
* Beregne lokale ekstrema: extrema(-2*cos(<math>x
</math>)-cos(<math>x
</math>)^2,<math>x
</math>) = [0],[pi]
* [[Krydsprodukt|Vektorprodukt]] alias cross product: cross([1,2,3],[4,3,2]) = [-5,10,-5]
* Beregne antal [[Permutation]]er: nPr(
* Beregne antal [[Kombination (matematik)|Kombinationer]]: nCr(
* Faktorisere polynimium: factor(polynomium,<math>x
</math>) eller cfactor(polynomium,<math>x
</math>)
* Løse ligning (isolere <math>x
</math>): solve(ligning,<math>x
</math>)
* Foretage [[separation af de variable]]: split(<math>x
</math>+1)*(<math>y
</math>-2),[<math>x
</math>,<math>y
</math>) = [<math>x
</math>+1,<math>y
</math>-2]
* Løse differentialligning (differentialligningens højre-side skrives som <math>y' =
</math> eller <math>y'' =
</math>): desolve(differentialligning,<math>y
</math>) f.eks. desolve(<math>y' = k\cdot y,y
</math>) eller desolve(<math>y'' = k\cdot y,y
</math>'')''
* Beregne differentialkvotient: diff(funktion,<math>x
</math>)
* Beregne ubestemt integrale (stamfunktion): int(funktion,<math>x
</math>)
* Beregne bestemt integrale (areal under kurve): int(funktion,<math>x
</math>,nedreGrænse,øvreGrænse)
* Beregne volumen af omdrejningslegeme 360 grader omkring <math>x
</math>-aksen: int(pi*funktion^2,<math>x
</math>,nedreGrænse,øvreGrænse)
* Beregne volumen af omdrejningslegeme 360 grader omkring <math>y
</math>-aksen (for en aftagende funktion): int(2*pi*<math>x
</math>*funktion,<math>x
</math>,nedreGrænse,øvreGrænse)

== Styresystemer ==
Xcas findes til flere styresystemer:<ref name=":0" />

* [[Microsoft]] [[Microsoft Windows|Windows]]<ref>[https://www.logitheque.com/en/software/windows/education/maths-and-arithmetic/download/xcas_62297.htm Download Xcas - Logitheque English<!-- Botgenereret titel -->]</ref>
* [[Apple Inc.|Apple]] [[Mac OS|macOS]]<ref>[https://www.logitheque.com/en/software/macintosh/education/maths-and-arithmetic/ All the Mac Maths and Arithmetic software<!-- Botgenereret titel -->]</ref>
* [[Linux]]/Unix<ref>[https://www.linuxjournal.com/content/symbolic-algebra-everywhere Symbolic Algebra Everywhere | Linux Journal<!-- Botgenereret titel -->]</ref><ref name="autogeneret7">[https://www.ubuntupit.com/top-20-best-computer-algebra-systems-for-linux/ Top 20 Best Computer Algebra Systems for Linux in 2020<!-- Botgenereret titel -->]</ref>
* [[FreeBSD]]<ref>https://www.researchgate.net/publication/294584414_Freeware_and_Open_Source_Software_Tools_for_Distance_Learning_in_Mathematics</ref>
* [[Google Android|Android]]<ref>https://play.google.com/store/apps/details?id=org.kde.necessitas.mucephi.android_xcas&hl=da&gl=US</ref>
* [[IOS (Apple)|iOS]] (betalt version)
Xcas kan også anvendes [[online]].<ref>[https://www.xcasenligne.fr/giac_online/demoGiacPhp.php Xcas en ligne<!-- Botgenereret titel -->]</ref>

== Xcas & GeoGebra ==

=== Historie ===
Xcas er [[Open source|open-source]]-projekter<ref>{{Cite web |url=http://getalternative.net/software/xcas |title=Arkiveret kopi |access-date=26. februar 2022 |archive-date=26. februar 2022 |archive-url=https://web.archive.org/web/20220226154532/http://getalternative.net/software/xcas |url-status=dead }}</ref> udviklet af en gruppe ledet af den franske [[matematiker]] [[Bernard Parisse]]<ref>[https://www.hpcalc.org/authors/345 Bernard Parisse - author detailed information<!-- Botgenereret titel -->]</ref><ref name=":1" /> ved [[Joseph Fourier-universitetet]]<ref>https://pnp.mathematik.uni-stuttgart.de/igt/eiserm/enseignement/mao/mao-presentation.paper-2x4.pdf</ref> i [[Grenoble]] ([[Isère]]), [[Frankrig]], siden år [[2000]].<ref>[https://www.omnimaga.org/ti-nspire-projects/(project)-port-xcas-or-maxima-to-tinspire/ [Project&#93; port xCAS or Maxima to TInspire<!-- Botgenereret titel -->]</ref> Xcas og Giac er baseret på [[erfaring]]er opnået med Parisses tidligere [[projekt]] ''[[Erable]]''.<ref>[http://dbpedia.org/page/Xcas About: Xcas<!-- Botgenereret titel -->]</ref> I 2013 blev Xcas integreret med det [[østrig]]ske CAS-program GeoGebra,<ref name="autogeneret1" /> der anvender Xcas som CAS-kerne.<ref name="autogeneret8" /> Integrationen mellem Xcas & GeoGebra er sket, selvom GeoGebra er skrevet i [[Java (programmeringssprog)|java]].<ref>{{Cite web |url=https://help.geogebra.org/topic/java-and-geogebra |title=Arkiveret kopi |access-date=26. februar 2022 |archive-date=21. april 2022 |archive-url=https://web.archive.org/web/20220421115813/https://help.geogebra.org/topic/java-and-geogebra |url-status=dead }}</ref> Siden 2013 findes forklarende videoer om Xcas<ref>[https://www.hpmuseum.org/forum/thread-9977.html 1 or 2 Variable Command Line Programs - Func(Var1, [Var2&#93;)<!-- Botgenereret titel -->]</ref> online.<ref>Bernard Parisse - "GIAC/XCAS and PARI/GP":

https://www.youtube.com/watch?v=vobVCyDAecY</ref> [[OpenOffice.org]] anvender Xcas til beregninger.<ref>https://www-fourier.ujf-grenoble.fr/~parisse/giac/tutoriel_en.pdf</ref>

== Xcas & GeoGebra anvendes i undervisning ==
Siden år 2000 har Xcas, the swiss knife for mathematics, opnået at blive meget udbredt i det franske uddannelsessystem;<ref>[https://trac.sagemath.org/ticket/10940 #10940 (giac interface) – Sage<!-- Botgenereret titel -->]</ref> Også [[Spanien|spanske]] og [[Mexico|mexicanske]] uddannelsesinstitutioner har taget Xcas til sig.<ref>[https://www.redalyc.org/pdf/1794/179429882005.pdf Redalyc.La enseÃ±anza de las matemÃ¡ticas y la tecnologÃ�a<!-- Botgenereret titel -->]</ref> Nogle [[Tyskland|tyske]]<ref name=":1" /><ref>[https://www.didaktik.mathematik.uni-wuerzburg.de/edumatics/mod2/technology.html Module 2 - Introduction<!-- Botgenereret titel -->]</ref> og [[USA|amerikanske]] universiteter anvender Xcas: University of North Carolina Wilmington<ref>[http://people.uncw.edu/freezem/tools/webxcas/webxcas2.htm Xcas_session<!-- Botgenereret titel -->]</ref> og University of New Mexico.<ref>[https://math.unm.edu/~aca/ACA/2015/education.html Computer Algebra in Education<!-- Botgenereret titel -->]</ref>

=== I Danmark anvendes Xcas & GeoGebra og andre programmer ===
På trods af integrationen mellem Xcas og GeoGebra, så har Xcas i Danmark<ref>[http://quizcomposer.student.dtu.dk/~qzcmpsr/html.d/newlyadded.htm Guide to QuizComposer©<!-- Botgenereret titel -->]{{Dødt link|date=november 2022 |bot=InternetArchiveBot |fix-attempted=yes }}</ref> har endnu kun fundet begrænset anvendelse.<ref>[https://lfph.dk/paedagogik/undervisningen/fagbeskrivelser/fagbeskrivelser-6-9-klasse/matematik/?lang=da Matematik | Lycée Francais Prins Henrik<!-- Botgenereret titel -->]{{Dead link|date=januar 2022 |bot=InternetArchiveBot |fix-attempted=yes }}</ref> Derimod anvender [[folkeskolen]]<ref name=":02">{{Cite web |url=https://www.folkeskolen.dk/892123/er-der-gaaet-pensumnitis-i-brugen-af-geogebra |title=Er der gået ”pensumnitis” i brugen af GeoGebra? - Folkeskolen.dk<!-- Botgenereret titel --> |access-date=25. februar 2022 |archive-date=28. september 2020 |archive-url=https://web.archive.org/web/20200928023202/https://www.folkeskolen.dk/892123/er-der-gaaet-pensumnitis-i-brugen-af-geogebra |url-status=dead }}</ref> GeoGebra meget<ref>{{Cite web |url=https://www.folkeskolen.dk/blogs/geogebra-bloggen/ |title=GeoGebra-bloggen - Folkeskolen.dk<!-- Botgenereret titel --> |access-date=25. februar 2022 |archive-date= 1. oktober 2020 |archive-url=https://web.archive.org/web/20201001170112/https://www.folkeskolen.dk/blogs/geogebra-bloggen/ |url-status=dead }}</ref> som supplement til [[LibreOffice]]<ref>{{Cite web |url=https://www.folkeskolen.dk/1851861/gode-overvejelser-ved-valg-af-teknologi-til-klassevaerelset |title=Arkiveret kopi |access-date=26. februar 2022 |archive-date=25. februar 2022 |archive-url=https://web.archive.org/web/20220225192829/https://www.folkeskolen.dk/1851861/gode-overvejelser-ved-valg-af-teknologi-til-klassevaerelset |url-status=dead }}</ref> [[regneark]] (Calc) og equation editor (Math).<ref>[https://www.libreoffice.org/discover/libreoffice/ What is LibreOffice? | LibreOffice - Free and private office suite - Based on OpenOffice - Compatible with Microsoft<!-- Botgenereret titel -->]</ref> [[Gymnasium|Gymnasier]] anvender både GeoGebra,<ref>{{Cite web |url=https://gymnasieskolen.dk/sites/default/files/Undervisning/Matematikudredningen2015endelig.pdf |title=Arkiveret kopi |access-date= 1. marts 2022 |archive-date= 4. marts 2021 |archive-url=https://web.archive.org/web/20210304200950/https://gymnasieskolen.dk/sites/default/files/Undervisning/Matematikudredningen2015endelig.pdf |url-status=dead }}</ref> [[TI-Nspire|TI-NSpire]] og [[Maple]],<ref>[https://www.maplesoft.com/dk/maplegym/ Maple til danske gymnasier - Maplesoft<!-- Botgenereret titel -->]</ref> mens [[universitet]]er<ref>[https://kurser.ku.dk/course/SODB16031U/2020-2021 Medicinsk genetik, Odontologi - 2020/2021<!-- Botgenereret titel -->]</ref> anvender Maple.<ref>[https://01005.compute.dtu.dk/Info-Maple DTU Course Website 01005<!-- Botgenereret titel -->]</ref>

== Xcas & GeoGebra er CAS-programmer blandt flere ==
Flere kommandoer for Xcas er kompatible med kommandoer til [[:en:List_of_computer_algebra_systems|flere programmer]],<ref>Database of Academic Research Journals. url: http://www.worldjournal.org/articles/eng/Xcas {{Webarchive|url=https://web.archive.org/web/20191231062441/http://www.worldjournal.org/articles/eng/xcas |date=31. december 2019 }}</ref><ref>{{Cite web |url=https://reposcope.com/package/xcas |title=xcas - Computer Algebra System - console and graphical calculator<!-- Botgenereret titel --> |access-date=12. april 2020 |archive-date=12. april 2020 |archive-url=https://web.archive.org/web/20200412162615/https://reposcope.com/package/xcas |url-status=dead }}</ref> f.eks. [[Wolfram Alpha]],<ref>https://dspace.ut.ee/bitstream/handle/10062/58398/tonisson_eno.pdf?sequence=1&isAllowed=y</ref> [[Mathematica]],<ref>[https://luckytoilet.wordpress.com/2014/08/11/beginners-comparison-of-computer-algebra-systems-mathematica-maxima-maple/ Beginner’s comparison of Computer Algebra Systems (Mathematica / Maxima / Maple) – Lucky's Notes<!-- Botgenereret titel -->]</ref> [[Maxima]],<ref>[https://books.google.dk/books?id=2_8sBAAAQBAJ&pg=PR7&lpg=PR7&dq=Hoon+Hong,+Chee+Yap:+Mathematical+Software+--+ICMS+2014:+4th+International+Conference,+Seoul,+South+Korea,+August+5-9,+2014,+Proceedings.+Springer,+2014&source=bl&ots=3TleXQrnJK&sig=ACfU3U3WjkzexdXjVarusA3_EB9eKKjhkg&hl=da&sa=X&ved=2ahUKEwjyw7_OyuzmAhU1zMQBHWanAGwQ6AEwB3oECAoQAQ#v=onepage&q=Hoon%20Hong%2C%20Chee%20Yap%3A%20Mathematical%20Software%20--%20ICMS%202014%3A%204th%20International%20Conference%2C%20Seoul%2C%20South%20Korea%2C%20August%205-9%2C%202014%2C%20Proceedings.%20Springer%2C%202014&f=false Mathematical Software - ICMS 2014: 4th International Conference, Seoul ... - Google Bøger<!-- Botgenereret titel -->]</ref> Maple,<ref>[http://www.12000.org/my_notes/CAS_integration_tests/index.htm Computer Algebra Independent Integration Tests<!-- Botgenereret titel -->]</ref><ref>www.12000.org/my_notes/CAS_integration_tests/index.htm</ref> [[Matlab]],<ref>[https://fachgruppe-computeralgebra.de/systeme/ Systeme |<!-- Botgenereret titel -->]</ref> [[Yacas]],<ref name="autogeneret2">[https://magmath.com/math-links-list-of-computer-tools-in-math.html List of Computer Tools in Mathematics<!-- Botgenereret titel -->]</ref><ref name="autogeneret2" /> [[SageMath]],<ref>[https://trac.sagemath.org/ticket/22280 #22280 (Giac miscompiles on non-x86_64 platforms) – Sage<!-- Botgenereret titel -->]</ref> [[Singular]],<ref>https://www.singular.uni-kl.de</ref> [[MuPAD]], Qcas, [[CPMP-Tools]],<ref>[https://swmath.org/software/11573 CPMP - Mathematical software - swMATH<!-- Botgenereret titel -->]</ref><ref name="autogeneret4">{{Cite web |url=http://www.core-plusmath.org/CPMP-Tools/ |title=CPMP-Tools Software<!-- Botgenereret titel --> |access-date=12. januar 2020 |archive-date=12. januar 2020 |archive-url=https://web.archive.org/web/20200112135410/http://www.core-plusmath.org/CPMP-Tools/ |url-status=dead }}</ref> [[WordMat]] (addon til Microsoft [[Microsoft Word|Word]]<ref>[http://www.eduap.com/wordmat/ WordMath - EDUAP<!-- Botgenereret titel -->]</ref>) og [[ExpressionsinBar]] (64 bit app for macOS<ref name="autogeneret5">[http://www.alelvisoftware.com/Expressions/ExpressionsinBar.html ExpressionsinBar<!-- Botgenereret titel -->]</ref><ref>[https://www.youtube.com/watch?v=h0QTnlzraWI ExpressionsinBar - YouTube<!-- Botgenereret titel -->]</ref>) samt [[Graphmatica]]<ref>[http://www.graphmatica.com/ Graphmatica by kSoft<!-- Botgenereret titel -->]</ref> og [[Kig]].<ref>[https://edu.kde.org/kig/ Kig - KDE Applications<!-- Botgenereret titel -->]</ref><ref>[https://docs.kde.org/stable5/en/kig/kig/index.html The Kig Handbook<!-- Botgenereret titel -->]</ref> Grafregnerne [[TI-89]], [[TI-92]],<ref>http://faculty.uml.edu/jennifer_gonzalezzugasti/Calculus%20II%20Video%20Lectures/documents/8.5CAScomputeralgebrasystem.pdf</ref> [[Voyage 200]] og [[TI-Nspire]]<ref name="autogeneret3">[https://swmath.org/software/6662 Xcas - Mathematical software - swMATH<!-- Botgenereret titel -->]</ref> rummer også kommandoer, som udviser ligheder med Xcas.<ref name="autogeneret3" /> Der er et forum for spørgsmål om Xcas.<ref>[https://xcas.univ-grenoble-alpes.fr/forum/ Le forum de XCAS - Page d’accueil<!-- Botgenereret titel -->]</ref>

'''Xcas & GeoGebra hører til denne''' '''gruppe'''<ref name="autogeneret7" /> '''af [[Computer Algebra System|CAS]]-softwares'''<ref>[https://enacademic.com/dic.nsf/enwiki/1062713 Comparison of computer algebra systems<!-- Botgenereret titel -->]</ref>
{| class="wikitable sortable"
!Navn
!Software licens
!Programmeringssprog
!MS Windows
!macOS
!Linux
!Andre OS
!Kommando løser [[differentialligning]]
!Note og kilde
|-
|[[CPMP-Tools]]
|freeware eller fri software
|[[Java (programmeringssprog)|java]]
|Windows
|macOS
|Linux
|
|
|<ref name="autogeneret4" />
|-
|[[ExpressionsinBar]]
|freeware eller fri software
|?
|
|64 bit app for macOS
|
|
|desolve(<math> y' = b\cdot y - a </math> , <math> y </math>)
|<ref name="autogeneret5" />
|-
|[[GeoGebra]]
|freeware eller fri software
|java
|Windows
|macOS
|Linux
|Android & iOS
|SolveODE(<ref>[https://wiki.geogebra.org/en/SolveODE_Command SolveODE Command - GeoGebra Manual<!-- Botgenereret titel -->]</ref>
|også som web app<ref>[https://www.geogebra.org/classic?lang=da GeoGebra Classic - GeoGebra<!-- Botgenereret titel -->]</ref>
|-
|[[Maple]] *
|kommerciel
|C, Java, Maple
|Windows
|macOS
|Linux
|
|dsolve<math> (y'(x) = k\cdot y(x) </math> , <math> y(x)) </math><ref>[https://www.maplesoft.com/support/help/Maple/view.aspx?path=dsolve%2finteractive interactive symbolic and numeric solution of ordinary differential equations - Maple Programming Help<!-- Botgenereret titel -->]</ref>
|<ref>https://www.maplesoft.com/</ref>
|-
|[[Mathematica]] *
|kommerciel
|[[Wolfram Alpha|Wolfram]] Language,  Lisp
|Windows
|macOS
|Linux
|Solaris
|DSolve(<math> y' = k\cdot y </math> , <math> y </math>)<ref>[https://reference.wolfram.com/language/tutorial/DSolveIntroduction.html Introduction to Differential Equation Solving with DSolve—Wolfram Language Documentation<!-- Botgenereret titel -->]</ref>
|også som web<ref>[https://www.wolframalpha.com/ Wolfram|Alpha: Computational Intelligence<!-- Botgenereret titel -->]</ref> app<ref>[https://www.wolfram.com/mathematica/ Wolfram Mathematica: Modern Technical Computing<!-- Botgenereret titel -->]</ref>
|-
|[[MATLAB]]
|kommerciel
|C/C++, MATLAB
|Windows
|macOS
|Linux
|
|
|<ref>[https://www.mathworks.com/products/matlab.html MATLAB - MathWorks - MATLAB & Simulink<!-- Botgenereret titel -->]</ref>
|-
|[[Maxima]]
|freeware eller fri software
|Common Lisp
|Windows
|macOS
|Linux
|Android
|ode2 (eqn, dvar, ivar)<ref>[https://maxima.sourceforge.io/docs/manual/maxima_105.html#ode2 Functions and Variables for Differential Equations (Maxima 5.44.0 Manual)<!-- Botgenereret titel -->]</ref>
|også som online app<ref>[https://web.archive.org/web/20181101184600/http://maxima-online.org/ Online Algebra Calculator | Maxima-online<!-- Botgenereret titel -->]</ref>
|-
|[[SageMath]]
|freeware eller fri software
|[[Python (programmeringssprog)|Python]] 3
|Windows
|macOS
|Linux
|
|desolve(<math> y' = b\cdot y - a </math> , <math> y </math>)<ref>[https://doc.sagemath.org/html/en/reference/calculus/sage/calculus/desolvers.html Solving ordinary differential equations — Sage 9.2 Reference Manual: Symbolic Calculus<!-- Botgenereret titel -->]</ref>
|<ref>[https://www.sagemath.org/ SageMath - Open-Source Mathematical Software System<!-- Botgenereret titel -->]</ref>
|-
|[[Singular]]
|freeware eller fri software
|[[C++]]
|Windows
|macOS
|Linux
|
|
|findes<ref>[https://www.singular.uni-kl.de/ Singular<!-- Botgenereret titel -->]</ref> også online<ref>{{Cite web |url=https://www.singular.uni-kl.de:8003/ |title=Singular<!-- Botgenereret titel --> |access-date=23. december 2020 |archive-date=20. juli 2017 |archive-url=https://web.archive.org/web/20170720090535/https://www.singular.uni-kl.de:8003/ |url-status=dead }}</ref>
|-
|[[TI-Nspire|TI-Nspire CX CAS]]
|kommerciel
|?
|Windows
|macOS
|
|
|deSolve('''<math> y' = b\cdot y - a </math>, <math> x </math>,<math> y </math>''')'''<ref name=":10">{{Cite web |url=https://sites.google.com/a/boag.nu/ti-nspire-hjaelp/differentialligninger |title=Differentialligninger - TI-nspire hjælp<!-- Botgenereret titel --> |access-date=20. december 2020 |archive-date=23. oktober 2020 |archive-url=https://web.archive.org/web/20201023143912/https://sites.google.com/a/boag.nu/ti-nspire-hjaelp/differentialligninger |url-status=dead }}</ref>'''
|<ref>{{Cite web |url=https://education.ti.com/en/software/details/en/3dc447eb50e0466697761768fe3b6391/student-nspirecxcas |title=Download Your TI-Nspire™ CAS Student Software - Texas Instruments - US and Canada<!-- Botgenereret titel --> |access-date=20. december 2020 |archive-date=20. august 2021 |archive-url=https://web.archive.org/web/20210820234035/https://education.ti.com/en/software/details/en/3dc447eb50e0466697761768fe3b6391/student-nspirecxcas |url-status=dead }}</ref><ref>[https://education.ti.com/html/webhelp/EG_TINspire/DA/index.html Undervisningmidler - Texas Instruments<!-- Botgenereret titel -->]</ref>
|-
|[[TI-89]] simulator & [[TI-92]] Plus emulator
|freeware eller fri software
|?
| colspan="4" |online
|deSolve('''<math> y' = b\cdot y - a </math>, <math> x </math>,<math> y </math>''')
|<ref name=":9">[https://ti89-simulator.com/ TI-89 Online Simulator<!-- Botgenereret titel -->]</ref><ref name=":8">[https://tiplanet.org/emu68k_fork/ TI-89 / TI-92+ / TI-V200 / TI-89T emulator (beta version 12-debrouxl)<!-- Botgenereret titel -->]</ref>
|-
|Xcas
|freeware eller fri software
|C++
|Windows
|macOS
|Linux
|Android
|desolve(<math> y' = b\cdot y - a </math> , <math> y </math>)<ref name="autogeneret6" />
|<ref name="autogeneret8" />
|-
|[[Yacas]]
|freeware eller fri software
|C++
|Windows
|macOS
|Linux
|
|OdeSolve(<math> y'' - 4*y == 0 </math> )<ref>[https://yacas.readthedocs.io/en/latest/reference_manual/ode.html?highlight=desolve#OdeSolve Differential Equations — Yacas<!-- Botgenereret titel -->]</ref>
|<ref>[http://www.yacas.org/ Yacas<!-- Botgenereret titel -->]</ref>
|}
<nowiki>*</nowiki> løser også [[Multipelt integral|triple integraler]].

== Se også ==
[[Wolfram Alpha]]

== Referencer ==
{{reflist}}

== Eksterne henvisninger ==
* [https://www-fourier.ujf-grenoble.fr/~parisse/giac.html Webside] {{en-sprog}} (med mulighed for [[download]])
* [https://www-fourier.ujf-grenoble.fr/~parisse/hp-prime_cas.pdf Mere information] {{en-sprog}}
* {{kilde www|title="MATHEMATICS EDUCATION AS A SCIENCE AND A PROFESSION" (PDF)|author-first=Josip|author-last=Juraj Strossmayer|date=2017-10-05|orig-year=2017|url=https://files.eric.ed.gov/fulltext/ED577935.pdf#page=201|access-date=2019-05-02|archive-date=}} {{en-sprog}}
* {{kilde www|title=Symbolic computation and Mathematics with the calculator HP Prime|author-first=Renée|author-last=De Graeve|translator-first=Jean Michel|translator-last=Lecointre|date=2018-01-19|orig-year=2013|url=https://www-fourier.ujf-grenoble.fr/~parisse/hp-prime_cas.pdf|access-date=2018-01-22|archive-date=}} {{en-sprog}}
** {{cite web|title=Perspectives on integrating a computer algebra system into advanced calculus curricula|author-first=George|author-last=Halkos|date=2015-04-25|orig-year=2014|url=https://mpra.ub.uni-muenchen.de/63898/1/MPRA_paper_63898.pdf|access-date=2019-09-06|archive-date=}}
* {{cite news|title=Computeralgebra-Rundbrief Nr. 62: Fachgruppe Computeralgebra|url=http://www.fachgruppe-computeralgebra.de/data/CA-Rundbrief/car62.pdf|access-date=2019-05-02|publisher=(Gesellschaft für Informatik e.V.|date=2018-03-02}}) (tysk)
* http://www.mathsaulycee.sitew.com/fs/premiere_s/8uoow-xcas_commande_utile.pdf (PDF) (fransk)
* http://briand-lyc.spip.ac-rouen.fr/IMG/pdf/xcas_fonctions.pdf (PDF) (fransk)
* Barnard Parisse: ''[https://www.apmep.fr/IMG/pdf/16-Xcas.pdf Mathématiques avec Xcas]'' (PDF) (fransk)
* [https://visca.pagesperso-orange.fr/html/xcas.html Les Maths et Mes Tics] {{Webarchive|url=https://web.archive.org/web/20220702142837/https://visca.pagesperso-orange.fr/html/xcas.html |date= 2. juli 2022 }} (fransk)

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