Difference between revisions of "ApCoCoA-1:DA.PseudoAutoReduce"
From ApCoCoAWiki
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<command> | <command> | ||
| − | <title> | + | <title>DA.PseudoAutoReduce</title> |
| − | <short_description> | + | <short_description>Calculate a pseudo reduced list of differential polynomials.</short_description> |
<syntax> | <syntax> | ||
| − | + | DA.PseudoAutoReduce(G:LIST):LIST | |
</syntax> | </syntax> | ||
<description> | <description> | ||
| − | PseudoAutoReduce returns a pseudo reduced list, i.e., every element of G reduces | + | DA.PseudoAutoReduce returns a pseudo reduced list, i.e., every element of G reduces |
to zero with respect to the returned list. | to zero with respect to the returned list. | ||
| − | + | <itemize> | |
| + | <item>@param G List of differential polynomials.</item> | ||
| + | <item>@return An autoreduced list of differential polynomials.</item> | ||
| + | </itemize> | ||
<example> | <example> | ||
Use Q[x[1..2,0..20]]; | Use Q[x[1..2,0..20]]; | ||
| − | Use Q[x[1..2,0..20]], Ord( | + | Use Q[x[1..2,0..20]], Ord(DA.DiffTO("Lex")); |
| − | + | DA.PseudoAutoReduce([x[1,1]^4 + x[2,0], x[1,0]^2 + 3x[1,0], x[1,2]^2-x[2,2]^2]); | |
------------------------------- | ------------------------------- | ||
[x[1,0]^2 + 3x[1,0], x[2,0] + x[1,1]^4] | [x[1,0]^2 + 3x[1,0], x[2,0] + x[1,1]^4] | ||
| Line 18: | Line 21: | ||
</example> | </example> | ||
</description> | </description> | ||
| + | <types> | ||
| + | <type>polynomial</type> | ||
| + | </types> | ||
<see>Diffalg.DiffTO</see> | <see>Diffalg.DiffTO</see> | ||
<see>Diffalg.PseudoReduce</see> | <see>Diffalg.PseudoReduce</see> | ||
| + | <key>PseudoAutoReduce</key> | ||
| + | <key>DA.PseudoAutoReduce</key> | ||
| + | <key>diffalg.PseudoAutoReduce</key> | ||
| + | <key>differential.PseudoAutoReduce</key> | ||
<wiki-category>Package_diffalg</wiki-category> | <wiki-category>Package_diffalg</wiki-category> | ||
</command> | </command> | ||
Revision as of 13:46, 22 April 2009
DA.PseudoAutoReduce
Calculate a pseudo reduced list of differential polynomials.
Syntax
DA.PseudoAutoReduce(G:LIST):LIST
Description
DA.PseudoAutoReduce returns a pseudo reduced list, i.e., every element of G reduces
to zero with respect to the returned list.
@param G List of differential polynomials.
@return An autoreduced list of differential polynomials.
Example
Use Q[x[1..2,0..20]];
Use Q[x[1..2,0..20]], Ord(DA.DiffTO("Lex"));
DA.PseudoAutoReduce([x[1,1]^4 + x[2,0], x[1,0]^2 + 3x[1,0], x[1,2]^2-x[2,2]^2]);
-------------------------------
[x[1,0]^2 + 3x[1,0], x[2,0] + x[1,1]^4]
-------------------------------
