ApCoCoA-1:DA.DiffGB

From ApCoCoAWiki
Revision as of 13:29, 29 October 2020 by AndraschkoBot (talk | contribs) (replaced <quotes> tag by real quotes)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
This article is about a function from ApCoCoA-1.

DA.DiffGB

Computes a differential Groebner basis.

Syntax

DA.DiffGB(I:IDEAL):LIST

Description

Returns a differential Groebner basis of the ideal I which is differentially generated by a set of differential polynomials wrt. the current differential term ordering. This function only terminates if the ideal I is zero dimensional and has a finite differential Groebner basis.

  • @param I A differential ideal.

  • @return If terminating, a list of differential polynomials that form a differential Groebner basis of I.

Example

Use QQ[x[1..1,0..20]];
Use QQ[x[1..1,0..20]], Ord(DA.DiffTO("Lex"));
DA.DiffGB([x[1,1]^4+x[1,0]]);
-------------------------------
[x[1,3] - 8x[1,1]x[1,2]^3, x[1,1]^2x[1,2]^2 + 1/4x[1,2], x[1,0]x[1,2] - 1/4x[1,1]^2, x[1,1]^4 + x[1,0]]
-------------------------------