# ApCoCoA-1:DA.DiffGB

From ApCoCoAWiki

Revision as of 13:29, 29 October 2020 by AndraschkoBot (talk | contribs) (replaced <quotes> tag by real quotes)

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]] -------------------------------