Difference between revisions of "ApCoCoA-1:DA.DiffAutoReduce"

From ApCoCoAWiki
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<command>
 
<command>
     <title>diffalg.DiffAutoReduce</title>
+
     <title>DA.DiffAutoReduce</title>
     <short_description>compute a reduced list of diff. polynomials from a given list of diff. polynomials</short_description>
+
     <short_description>Computes a reduced list of differential polynomials.</short_description>
 
<syntax>
 
<syntax>
$diffalg.DiffAutoReduce(G:LIST):LIST
+
DA.DiffAutoReduce(G:LIST):LIST
 
</syntax>
 
</syntax>
 
<description>
 
<description>
DiffAutoReduce computes for a given set G of differential polynomials a reduced list of differential polynomials H, s.t. every element of G reduces to zero wrt. H.
+
DA.DiffAutoReduce computes for a given set G of differential polynomials a reduced list of differential polynomials H, s.t. every element of G reduces to zero wrt. H.
  
 
<example>
 
<example>
 
Use Q[x[1..1,0..20]];
 
Use Q[x[1..1,0..20]];
Use Q[x[1..1,0..20]], Ord($diffalg.DiffTO("Lex"));
+
Use Q[x[1..1,0..20]], Ord(DA.DiffTO("Lex"));
$diffalg.DiffAutoReduce([x[1,2]^2+x[1,0]^2+3, x[1,1]+3x[1,0]]);
+
DA.DiffAutoReduce([x[1,2]^2+x[1,0]^2+3, x[1,1]+3x[1,0]]);
 
-------------------------------
 
-------------------------------
 
[x[1,1] + 3x[1,0], 82x[1,0]^2 + 3]
 
[x[1,1] + 3x[1,0], 82x[1,0]^2 + 3]
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</example>
 
</example>
 
</description>
 
</description>
<see>Diffalg.DiffTO</see>
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<types>
<see>Diffalg.DiffReduce</see>
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<type>polynomial</type>
 +
</types>
 +
<see>DA.DiffTO</see>
 +
<see>DA.DiffReduce</see>
 +
<key>DiffAutoReduce</key>
 +
<key>DA.DiffAutoReduce</key>
 +
<key>diffalg.DiffAutoReduce</key>
 +
<key>differential.DiffAutoReduce</key>
 
<wiki-category>Package_diffalg</wiki-category>
 
<wiki-category>Package_diffalg</wiki-category>
 
</command>
 
</command>

Revision as of 12:27, 22 April 2009

DA.DiffAutoReduce

Computes a reduced list of differential polynomials.

Syntax

DA.DiffAutoReduce(G:LIST):LIST

Description

DA.DiffAutoReduce computes for a given set G of differential polynomials a reduced list of differential polynomials H, s.t. every element of G reduces to zero wrt. H.

Example

Use Q[x[1..1,0..20]];
Use Q[x[1..1,0..20]], Ord(DA.DiffTO("Lex"));
DA.DiffAutoReduce([x[1,2]^2+x[1,0]^2+3, x[1,1]+3x[1,0]]);
-------------------------------
[x[1,1] + 3x[1,0], 82x[1,0]^2 + 3]
-------------------------------

DA.DiffTO

DA.DiffReduce