ApCoCoA-1:DA.DiffReduce

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 Q[x[1..1,0..20]];
Use Q[x[1..1,0..20]], Ord(DA.DiffTO(<quotes>Lex</quotes>));
DA.DiffReduce(x[1,2]^2+x[1,0]^2+3, [x[1,1]+3x[1,0]]);
-------------------------------
82x[1,0]^2 + 3
-------------------------------

DA.DiffTO