ApCoCoA-1:DA.DiffReduce
From ApCoCoAWiki
| This article is about a function from ApCoCoA-1. |
DA.DiffReduce
Computes a differential normal form of a differential polynomial wrt. a list of differential polynomials.
Syntax
DA.DiffReduce(F:POLY, G:LIST):POLY
Description
DA.DiffReduce computes the differential normal form of F wrt. the set of differential polynomials G.
To this end, the elements of G are differentiated sufficiently often and the usual normal form is built.
@param F Differential polynomial to compute the normal form of.
@param G List of differential polynomials to wrt. which the normal form of F is computed.
@return Normal form of F wrt. G.
Example
Use QQ[x[1..1,0..20]];
Use QQ[x[1..1,0..20]], Ord(DA.DiffTO("Lex"));
DA.DiffReduce(x[1,2]^2+x[1,0]^2+3, [x[1,1]+3x[1,0]]);
-------------------------------
82x[1,0]^2 + 3
-------------------------------
