ApCoCoA-1:DA.PseudoAutoReduce: Difference between revisions
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{{Version|1}} | |||
<command> | <command> | ||
<title> | <title>DA.PseudoAutoReduce</title> | ||
<short_description> | <short_description>Computes 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 | <ref>ApCoCoA-1:DA.PseudoAutoReduce|DA.PseudoAutoReduce</ref> returns a pseudo reduced list, i.e., every element of <tt>G</tt> reduces | ||
to zero with respect to the returned list. | to zero with respect to the returned list. | ||
<itemize> | |||
<item>@param <em>G</em> List of differential polynomials.</item> | |||
<item>@return An autoreduced list of differential polynomials.</item> | |||
</itemize> | |||
<example> | <example> | ||
Use | Use QQ[x[1..2,0..20]]; | ||
Use | Use QQ[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] | ||
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</example> | </example> | ||
</description> | </description> | ||
<see> | <types> | ||
<see> | <type>polynomial</type> | ||
<wiki-category>Package_diffalg</wiki-category> | </types> | ||
<see>ApCoCoA-1:DA.DiffTO|DA.DiffTO</see> | |||
<see>ApCoCoA-1:DA.PseudoReduce|DA.PseudoReduce</see> | |||
<key>PseudoAutoReduce</key> | |||
<key>DA.PseudoAutoReduce</key> | |||
<key>diffalg.PseudoAutoReduce</key> | |||
<key>differential.PseudoAutoReduce</key> | |||
<wiki-category>ApCoCoA-1:Package_diffalg</wiki-category> | |||
</command> | </command> | ||
Latest revision as of 13:30, 29 October 2020
| This article is about a function from ApCoCoA-1. |
DA.PseudoAutoReduce
Computes 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 QQ[x[1..2,0..20]];
Use QQ[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]
-------------------------------
