ApCoCoA-1:DA.PseudoAutoReduce: Difference between revisions

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<command>
<command>
     <title>diffalg.PseudoAutoReduce</title>
     <title>DA.PseudoAutoReduce</title>
     <short_description>calculate a pseudo reduced list of differential polynomials</short_description>
     <short_description>Calculate a pseudo reduced list of differential polynomials.</short_description>
<syntax>
<syntax>
$diffalg.PseudoAutoReduce(G:LIST):LIST
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($diffalg.DiffTO("Lex"));
Use Q[x[1..2,0..20]], Ord(DA.DiffTO("Lex"));
$diffalg.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]);
-------------------------------
-------------------------------
[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>
<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]
-------------------------------

Diffalg.DiffTO

Diffalg.PseudoReduce