ApCoCoA-1:DA.DiffReduce

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diffalg.DiffReduce

Compute a differential normal form of a differential Polynomial wrt. a list of differential polynomials.

Syntax

$diffalg.DiffReduce(F:POLY, G:LIST):POLY

Description

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.

Example

Use Q[x[1..1,0..20]];
Use Q[x[1..1,0..20]], Ord($diffalg.DiffTO("Lex"));
$diffalg.DiffReduce(x[1,2]^2+x[1,0]^2+3, [x[1,1]+3x[1,0]]);
-------------------------------
82x[1,0]^2 + 3
-------------------------------

Diffalg.DiffTO