Difference between revisions of "ApCoCoA-1:DA.PseudoAutoReduce"
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S schuster (talk | contribs) m (ApCoCoA:Diffalg.PseudoAutoReduce moved to ApCoCoA:DA.PseudoAutoReduce: To comply with style principles.) |
m (replaced <quotes> tag by real quotes) |
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| + | {{Version|1}} | ||
<command> | <command> | ||
<title>DA.PseudoAutoReduce</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 | DA.PseudoAutoReduce(G:LIST):LIST | ||
</syntax> | </syntax> | ||
<description> | <description> | ||
| − | DA.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> | <itemize> | ||
| − | <item>@param G List of differential polynomials.</item> | + | <item>@param <em>G</em> List of differential polynomials.</item> |
<item>@return An autoreduced list of differential polynomials.</item> | <item>@return An autoreduced list of differential polynomials.</item> | ||
</itemize> | </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]); | DA.PseudoAutoReduce([x[1,1]^4 + x[2,0], x[1,0]^2 + 3x[1,0], x[1,2]^2-x[2,2]^2]); | ||
------------------------------- | ------------------------------- | ||
| Line 24: | Line 25: | ||
<type>polynomial</type> | <type>polynomial</type> | ||
</types> | </types> | ||
| − | <see>DA.DiffTO</see> | + | <see>ApCoCoA-1:DA.DiffTO|DA.DiffTO</see> |
| − | <see>DA.PseudoReduce</see> | + | <see>ApCoCoA-1:DA.PseudoReduce|DA.PseudoReduce</see> |
| + | |||
<key>PseudoAutoReduce</key> | <key>PseudoAutoReduce</key> | ||
<key>DA.PseudoAutoReduce</key> | <key>DA.PseudoAutoReduce</key> | ||
<key>diffalg.PseudoAutoReduce</key> | <key>diffalg.PseudoAutoReduce</key> | ||
<key>differential.PseudoAutoReduce</key> | <key>differential.PseudoAutoReduce</key> | ||
| − | <wiki-category>Package_diffalg</wiki-category> | + | <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]
-------------------------------
