ApCoCoA-1:DA.DiffReduce: Difference between revisions

From ApCoCoAWiki
S schuster (talk | contribs)
New page: <command> <title>diffalg.DiffReduce</title> <short_description>Compute a differential normal form of a differential Polynomial wrt. a list of differential polynomials.</short_descr...
 
S schuster (talk | contribs)
No edit summary
Line 1: Line 1:
<command>
<command>
     <title>diffalg.DiffReduce</title>
     <title>diffalg.DiffReduce</title>
     <short_description>Compute a differential normal form of a differential Polynomial wrt. a list of differential polynomials.</short_description>
     <short_description>compute a differential normal form of a differential Polynomial wrt. a list of differential polynomials</short_description>
<syntax>
<syntax>
$diffalg.DiffReduce(F:POLY, G:LIST):POLY
$diffalg.DiffReduce(F:POLY, G:LIST):POLY

Revision as of 08:47, 22 December 2008

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