# ApCoCoA-1:DA.DiffReduce

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Revision as of 14:06, 22 April 2009 by S schuster (talk | contribs) (ApCoCoA:Diffalg.DiffReduce moved to ApCoCoA:DA.DiffReduce: To comply with style principles.)

## 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("Lex")); DA.DiffReduce(x[1,2]^2+x[1,0]^2+3, [x[1,1]+3x[1,0]]); ------------------------------- 82x[1,0]^2 + 3 -------------------------------