# ApCoCoA-1:DA.DiffReduce

From ApCoCoAWiki

## 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(<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 -------------------------------