Difference between revisions of "ApCoCoA-1:DA.DiffReduce"
From ApCoCoAWiki
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<example> | <example> | ||
Use Q[x[1..1,0..20]]; | Use Q[x[1..1,0..20]]; | ||
| − | Use Q[x[1..1,0..20]], Ord(DA.DiffTO( | + | 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]]); | DA.DiffReduce(x[1,2]^2+x[1,0]^2+3, [x[1,1]+3x[1,0]]); | ||
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Revision as of 13:10, 27 April 2009
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 -------------------------------
