ApCoCoA-1:DA.DiffAutoReduce: Difference between revisions
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{{Version|1}} | |||
<command> | <command> | ||
<title>DA.DiffAutoReduce</title> | <title>DA.DiffAutoReduce</title> | ||
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</syntax> | </syntax> | ||
<description> | <description> | ||
DA.DiffAutoReduce computes for a given set G of differential polynomials a list of reduced differential polynomials H, s.t. every element of G reduces to zero wrt. H. | DA.DiffAutoReduce computes for a given set <tt>G</tt> of differential polynomials a list of reduced differential polynomials <tt>H</tt>, s.t. every element of <tt>G</tt> reduces to zero wrt. <tt>H</tt>. | ||
<itemize> | <itemize> | ||
<item>@param G A set of differential polynomials.</item> | <item>@param <em>G</em> A set of differential polynomials.</item> | ||
<item>@return A list of reduced differential polynomials.</item> | <item>@return A list of reduced differential polynomials.</item> | ||
</itemize> | </itemize> | ||
<example> | <example> | ||
Use | Use QQ[x[1..1,0..20]]; | ||
Use | Use QQ[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]]); | DA.DiffAutoReduce([x[1,2]^2+x[1,0]^2+3, x[1,1]+3x[1,0]]); | ||
------------------------------- | ------------------------------- | ||
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<type>polynomial</type> | <type>polynomial</type> | ||
</types> | </types> | ||
<see>DA.DiffTO</see> | |||
<see>DA.DiffReduce</see> | <seealso> | ||
<see>ApCoCoA-1:DA.DiffTO|DA.DiffTO</see> | |||
<see>ApCoCoA-1:DA.DiffReduce|DA.DiffReduce</see> | |||
</seealso> | |||
<key>DiffAutoReduce</key> | <key>DiffAutoReduce</key> | ||
<key>DA.DiffAutoReduce</key> | <key>DA.DiffAutoReduce</key> | ||
<key>diffalg.DiffAutoReduce</key> | <key>diffalg.DiffAutoReduce</key> | ||
<key>differential.DiffAutoReduce</key> | <key>differential.DiffAutoReduce</key> | ||
<wiki-category>Package_diffalg</wiki-category> | <wiki-category>ApCoCoA-1:Package_diffalg</wiki-category> | ||
</command> | </command> | ||
Latest revision as of 13:28, 29 October 2020
| This article is about a function from ApCoCoA-1. |
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 list of reduced differential polynomials H, s.t. every element of G reduces to zero wrt. H.
@param G A set of differential polynomials.
@return A list of reduced differential polynomials.
Example
Use QQ[x[1..1,0..20]];
Use QQ[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]
-------------------------------
See also
