Difference between revisions of "ApCoCoA-1:DA.DiffReduce"
From ApCoCoAWiki
m (Bot: Category moved) |
|||
Line 30: | Line 30: | ||
<key>diffalg.DiffReduce</key> | <key>diffalg.DiffReduce</key> | ||
<key>differential.DiffReduce</key> | <key>differential.DiffReduce</key> | ||
− | <wiki-category>Package_diffalg</wiki-category> | + | <wiki-category>ApCoCoA-1:Package_diffalg</wiki-category> |
</command> | </command> |
Revision as of 16:04, 2 October 2020
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 -------------------------------