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- At the moment the following articles are available for CoCoA 5: *[[CoCoA:CoCoA5_Faq|FAQ]]153 bytes (22 words) - 16:34, 14 October 2007
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- At the moment the following articles are available for CoCoA 5: *[[CoCoA:CoCoA5_Faq|FAQ]]153 bytes (22 words) - 16:34, 14 October 2007
- <h3>What is CoCoA?</h3> ...ersion:''' [http://cocoa.dima.unige.it/cocoa/download/RelNotes.shtml CoCoA-5.4.0] (11.04.2022)1 KB (162 words) - 10:27, 15 February 2023
- =What is CoCoA?= ...putations in '''Co'''mmutative '''A'''lgebra. [http://cocoa.dima.unige.it/ CoCoA] is being developed at the University of Genova (Italy).2 KB (224 words) - 15:05, 6 March 2023
- ...Computer Algebra Framework based on CoCoA-5. ApCoCoA-2 is basically CoCoA-5 extended by some packages and functionalities and wrapped in an [https://ww ...cial [https://cocoa.dima.unige.it/cocoa/download/CoCoAManual/html/toc.html CoCoA Manual].881 bytes (123 words) - 12:57, 6 March 2023
- ...can be downloaded from the [http://cocoa.dima.unige.it/cocoalib/ official CoCoA website].255 bytes (42 words) - 10:38, 14 February 2023
- L1 >< L2 >< [5]; -- same as CartesianProduct(L1, L2, [5]); -- same as1 KB (173 words) - 10:02, 24 October 2007
- [[:Image:KR_tutorial_5.pdf|Tutorial 5: Variations on BBA]] [[:Image:Reduce.coc|CoCoA function for reducing a set of polynomials]] so that they are K-linearly in1 KB (186 words) - 13:22, 22 June 2007
- ...p://cocoa.dhsphue.edu.vn/Modules/Tintuc/front_detail_news.aspx?idmenu=1170 CoCoA School] in Hue, Vietnam * 2020/02/26: Release of ApCoCoA-2.0 Beta based on CoCoA 5 and with a new IntelliJ interface388 bytes (51 words) - 12:57, 6 March 2023
- possible cardinality. The minimal set of generators found by CoCoA is I := Ideal(x-y^2,z-y^5,x^5-z^2);1 KB (200 words) - 10:02, 24 October 2007
- ...nomial. The output is a matrix of size <ref>CoCoA:Len|Len</ref>(OO) x <ref>CoCoA:Len|Len</ref>(OO) over the ring <tt>BBS=K[c_{ij}]</tt>. [0, BBS :: c[1,6], BBS :: c[1,5], BBS :: c[1,3]],1 KB (194 words) - 09:40, 7 October 2020
- NB: In CoCoA-5 will me managed differently to allow more flexibility. Use R ::= Q[x,y], Weights(Mat([[1,2],[3,4],[5,6]]));925 bytes (110 words) - 10:02, 24 October 2007
- NB: every time you restart CoCoA the sequence of random numbers will Seed(5);1 KB (127 words) - 10:02, 24 October 2007
- possible cardinality. The minimal set of generators found by CoCoA is I := Ideal(x-y^2,z-y^5,x^5-z^2);1 KB (203 words) - 10:02, 24 October 2007
- <short_description>extend a positive grading (for CoCoA-4 CoCoA-4 does not allow zero entries in the first row of the weights matrix.1 KB (150 words) - 10:02, 24 October 2007
- I := Ideal(t^3-x,t^4-y,t^5-z); J := I^5; Time G := GBasisTimeout(J, 1);1 KB (162 words) - 10:02, 24 October 2007
- command for getting information about CoCoA online. For information Return X+5;1 KB (205 words) - 10:02, 24 October 2007
- ...chern lassen. Jedoch wollen wir nicht so schnell aufgeben, symbolisch kann CoCoA}mit dem Objekt <math>\sqrt{2}</math> ohne Probleme umgehen. ...ht]:=\mathbb{Z}/\!\;\!_{5\mathbb{Z}}\left[x,y\right]</math> mit <tt>S::=Z/(5)[x,y];</tt> unter dem Namen <tt>S</tt> bereitgestellt.3 KB (433 words) - 19:10, 17 July 2008
- =Problems with ambiguity in the language in CoCoA 4.X= ...a function F and also a variable F that contains a polynomial. What should CoCoA do when encountering the two constructs from above?2 KB (283 words) - 15:20, 16 October 2007
- ...- y[1]^8 + 6x[1]^2y[1]^5 - x[1]y[1]^6 + y[1]^7 + 3x[1]^2y[1]^4 - 6x[1]y[1]^5 + 2y[1]^6 + x[1]^2y[1]^3 - 6x[1]y[1]^4 + 4y[1]^5 + x[1]^2y[1]^2 + 2x[1]y[1]^3 + 2x[1]^2y[1] + 2x[1]y[1]^2 - 2y[1]^3 + 3x[1]^4 KB (571 words) - 10:39, 7 October 2020
- All the <tt>5</tt> functions behave like the corresponding function in CoCoA-4, i.e. should give the same output!4 KB (504 words) - 10:02, 24 October 2007
- Mit CoCoA ist es ein leichtes, Gleichungssysteme zu lösen, wir müssen sie nur ein w In CoCoA geben wir das Ideal mit dem <tt>Ideal(...);</tt>-Befehl ein, also2 KB (241 words) - 19:59, 17 July 2008
- The fields representation is ((Z/(2))[x])/(x^5 + x^2 + 1). CoCoA::ring R = ApCoCoA::AlgebraicCore::NewRingF32();3 KB (549 words) - 17:17, 6 March 2008
- ...nomial. The output is a matrix of size <ref>CoCoA:Len|Len</ref>(OO) x <ref>CoCoA:Len|Len</ref>(OO) over the ring <tt>BBS=K[c_{ij}]</tt>. [0, 1, 0, BBS :: c[3,5], BBS :: c[3,3]],1 KB (198 words) - 09:40, 7 October 2020
- <->0*x^5 + 0*x^4 + 1*x^3 + 0*x^2 + 1*x^1 + 1*x^0 = x^3 + x + 1 CoCoA::ring R = ApCoCoA::AlgebraicCore::NewRingF64();3 KB (557 words) - 17:19, 6 March 2008
- Square(5); L := L + 5;4 KB (605 words) - 10:02, 24 October 2007
- ...erver using LinBox functions. Please note that in contrary to the built in CoCoA <tt>Det</tt> function the entries of <tt>M</tt> are only allowed to be of t LinAlg.Det(Mat([[1,2],[0,5]]));2 KB (235 words) - 10:10, 7 October 2020
- The fields representation is ((Z/(2))[x])/(x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + 1). <-> 0*x^7+ 0*x^6 + 0*x^5 + 0*x^4 + 1*x^3 + 0*x^2 + 1*x^1 + 1*x^03 KB (536 words) - 17:26, 6 March 2008
- ...er:Andraschko| Bernhard Andraschko]] (Wiki, Migration of packages to CoCoA-5) ...am ([http://cocoa.dima.unige.it/cocoa/research/ http://cocoa.dima.unige.it/cocoa/research/])2 KB (220 words) - 17:59, 4 May 2024
- CoCoA stellt verschiedene Objekttypen zur Verfügung, aber eh wir uns diese genau ...ekte, welche klein geschrieben werden sind Variablen, d.h. aber auch, dass CoCoA zum Beispiel <tt>quit;</tt> als das Produkt <math>q\cdot u\cdot i\cdot t</m7 KB (1,129 words) - 19:07, 17 July 2008
- The fields representation is ((Z/(2))[x])/(x^11 +x^3 + x^5 +x + 1). CoCoA::ring R = ApCoCoA::AlgebraicCore::NewRingF2048();3 KB (530 words) - 17:32, 6 March 2008
- | bgcolor="#FFFFFF" | 5 | bgcolor="#FFFF00" | 5 ApCoCoA-meeting11 KB (1,248 words) - 16:18, 28 April 2009
- <-> 0*x^6 + 0*x^5 + 0*x^4 + 1*x^3 + 0*x^2 + 1*x^1 + 1*x^0 CoCoA::ring R = ApCoCoA::AlgebraicCore::NewRingF128();3 KB (525 words) - 17:24, 6 March 2008
- CoCoA 4 was first published in July 2000. ===CoCoA 4===7 KB (946 words) - 09:20, 16 October 2007
- For more information about memory in CoCoA, see the chapter entitled ENV.R.Y := 5; -- a global variable bound to R1 KB (156 words) - 10:02, 24 October 2007
- ...erver using LinBox functions. Please note that in contrary to the built in CoCoA <tt>Det</tt> function the entries of <tt>M</tt> are only allowed to be of t LinBox.Det(Mat([[1,2],[0,5]]));2 KB (282 words) - 10:11, 7 October 2020
- No. of Columns=5 No. of Columns=57 KB (905 words) - 09:57, 7 October 2020
- For more information about memory in CoCoA, see the chapter entitled ENV.R.Y := 5; -- in global memory bound to R2 KB (335 words) - 10:02, 24 October 2007
- 4*x+5*y+6, ...:Introduction to Groebner Basis in CoCoA|Introduction to Groebner Basis in CoCoA</see>2 KB (331 words) - 09:43, 7 October 2020
- CoCoA::ring R = ApCoCoA::AlgebraicCore::NewRingF4(); To see if a given CoCoA::ring R is an instance of RingF4 you can check3 KB (467 words) - 17:09, 6 March 2008
- /plugins/apcocoa/lib/cocoa/packages/apcocoa/ ...contained, you can first put it anywhere and load it into ApCoCoA or CoCoA-5 for testing the functions. Otherwise, we recommend putting it in the ApCoCo4 KB (654 words) - 11:01, 29 October 2020
- ...geht sollte man mit Listen arbeiten, da aufgrund der inneren Struktur von CoCoA auf diese und in ihnen ein sehr schneller Zugriff möglich ist. <tt>L:=[0,1,2,3,4,5,6,7,8,9]</tt>. Die Liste trägt nun den Namen <tt>L</tt> und enthält 10 El6 KB (954 words) - 19:08, 17 July 2008
- ...t is a collection of thoughts about where we want to go with the new CoCoA 5 client. * We have 2 modes: CoCoA 4 and CoCoA 510 KB (1,564 words) - 17:45, 20 October 2007
- VERY IMPORTANT: CoCoA cannot accept the ring R as one of the inputs, I := Ideal(x^5, y^3, z^2);4 KB (615 words) - 10:02, 24 October 2007
- No. of Columns=5 No. of Columns=58 KB (1,077 words) - 09:56, 7 October 2020
- NB: every time you restart CoCoA the sequence of random numbers will Randomized(x^2 + 3x - 5);1 KB (196 words) - 10:02, 24 October 2007
- This command computes a Groebner basis in the field <tt>F_32 = (Z/(2))[x]/(x^5 + x^2 + 1)</tt>. ...:Introduction to Groebner Basis in CoCoA|Introduction to Groebner Basis in CoCoA</see>3 KB (387 words) - 09:54, 7 October 2020
- ...putes a Groebner basis in the field <tt>F_2048 = (Z/(2))[x]/(x^11 +x^3 + x^5 +x + 1)</tt>. ...:Introduction to Groebner Basis in CoCoA|Introduction to Groebner Basis in CoCoA</see>3 KB (389 words) - 09:54, 7 October 2020
- CoCoA::ring R = ApCoCoA::AlgebraicCore::NewRingF512(); To see if a given CoCoA::ring R is an instance of RingF512 you can check3 KB (528 words) - 17:28, 6 March 2008
- CoCoA::ring R = ApCoCoA::AlgebraicCore::NewRingF4096(); To see if a given CoCoA::ring R is an instance of RingF4096 you can check3 KB (530 words) - 17:35, 6 March 2008
- CoCoA::ring R = ApCoCoA::AlgebraicCore::NewRingF1024(); To see if a given CoCoA::ring R is an instance of RingF1024 you can check3 KB (530 words) - 17:30, 6 March 2008
- ...a Groebner basis in the field <tt>F_256 = (Z/(2))[x]/(x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + 1)</tt>. ...:Introduction to Groebner Basis in CoCoA|Introduction to Groebner Basis in CoCoA</see>3 KB (391 words) - 09:54, 7 October 2020
- CoCoA::ring R = ApCoCoA::AlgebraicCore::NewRingF8(); To see if a given CoCoA::ring R is an instance of RingF8 you can check3 KB (546 words) - 17:11, 6 March 2008
- No. of Columns=5 No. of Columns=58 KB (1,140 words) - 09:56, 7 October 2020
- CoCoA::ring R = ApCoCoA::AlgebraicCore::NewRingF16(); To see if a given CoCoA::ring R is an instance of RingF16 you can check3 KB (548 words) - 17:14, 6 March 2008
- 4*x+5*y+6, ...:Introduction to Groebner Basis in CoCoA|Introduction to Groebner Basis in CoCoA</see>3 KB (395 words) - 09:43, 7 October 2020
- This page is an introduction into term orderings in CoCoA-5 or ApCoCoA-2. In order to understand this topic, we assume that the reader == Term Orderings in CoCoA ==8 KB (1,311 words) - 11:26, 14 February 2021
- I := Ideal(t^3-x,t^4-y,t^5-z); <see>Introduction to Groebner Bases in CoCoA</see>1 KB (231 words) - 10:02, 24 October 2007
- 0 --> R^2(-6) --> R(-4)(+)R^3(-5) --> R^2(-2)(+)R(-3) <see>Introduction to Groebner Bases in CoCoA</see>2 KB (258 words) - 10:02, 24 October 2007
- describes three different algorithms; the one implemented in CoCoA is Ideal(-x^16 + y^2z^5)3 KB (487 words) - 10:02, 24 October 2007
- ...all problems as long as it is somehow related to [[:Category:CoCoA5|CoCoA 5]]. After running the configure script provided with the CoCoA Library source you need to edit configuration/autoconf.mk. Change7 KB (1,193 words) - 09:22, 16 October 2007
- * Download the latest CoCoALib source files from the CoCoA website: [http://cocoa.dima.unige.it/cocoalib/changelog-0.99.html Download Page]. specific for the Microsoft environment using MSVC 2003/5.4 KB (619 words) - 09:41, 29 October 2020
- ...5. For the official CoCoA releases, visit the [http://cocoa.dima.unige.it CoCoA home page].11 KB (1,486 words) - 10:03, 9 March 2023
- ...etup.exe. At the moment of writing this document the current version was 1.5.17-1. Start setup.exe and install it to C:\cygwin (with default settings). ...ttp://www.swox.com/gmp/ (since GMP 4.1.3 contains a critical bug affecting CoCoA::RingFloat). Unpack to /home/Administrator/ which translates to C:\cygwin\h8 KB (1,272 words) - 09:21, 16 October 2007
- ...Beingung''</tt> <tt>FALSE</tt> ergibt. Die üblichen Bedingungen sind <tt>N=5</tt> (gleich --- Vorsicht: hier kein <tt>:</tt> verwenden), <tt><=</tt> (kl Auch wenn eine Funktion wie der Absolutbetrag in CoCoA schon längst implementiert ist (<tt>Abs(N)</tt>), so wollen wir diese doch3 KB (441 words) - 20:01, 17 July 2008
- At the [http://cocoa.dima.unige.it/conference/schooliv/ CoCoA Summer School 2005] there was a discussion about the possibility to plot or These tools use [[CoCoA:CoCoA_4|CoCoa 4]] and either [http://povray.com POV-Ray] or Latex.15 KB (1,931 words) - 09:42, 29 October 2020
- 5. If the object E in R is a polynomial or rational function (or list, second form, V is a variable containing a CoCoA object dependent on R3 KB (578 words) - 10:02, 24 October 2007
- Analogously to the CoCoA-5 function <code>interreduced</code>, the SAGBI package contains the function f := x^10*y^2 +x^6*y^6 -2*x^10*z^2 -5*x^8*y^2*z^2 +6*x^5*y^5*z^2 +10*x^8*z^4 +10*x^6*y^2*z^4 +15*x^4*y^4*z^4 -20*x^6*z^6 -10*x^4*y^2*z^612 KB (2,168 words) - 20:21, 8 November 2020
- The files in this directory comprise the documentation for the CoCoA Library. All the documentation for the CoCoA Library is made available under the20 KB (3,296 words) - 06:31, 20 July 2005
