Difference between revisions of "ApCoCoA-1:DA.DiffAutoReduce"

From ApCoCoAWiki
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{{Version|1}}
 
<command>
 
<command>
     <title>diffalg.DiffAutoReduce</title>
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     <title>DA.DiffAutoReduce</title>
     <short_description>compute a reduced list of diff. polynomials from a given list of diff. polynomials</short_description>
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     <short_description>Computes a reduced list of differential polynomials.</short_description>
 
<syntax>
 
<syntax>
$diffalg.DiffAutoReduce(G:LIST):LIST
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DA.DiffAutoReduce(G:LIST):LIST
 
</syntax>
 
</syntax>
 
<description>
 
<description>
DiffAutoReduce computes for a given set G of differential polynomials a reduced list of differential polynomials H, s.t. every element of G reduces to zero wrt. H.
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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>.
 
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<itemize>
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<item>@param <em>G</em> A set of differential polynomials.</item>
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<item>@return A list of reduced differential polynomials.</item>
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</itemize>
 
<example>
 
<example>
Use Q[x[1..1,0..20]];
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Use QQ[x[1..1,0..20]];
Use Q[x[1..1,0..20]], Ord($diffalg.DiffTO("Lex"));
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Use QQ[x[1..1,0..20]], Ord(DA.DiffTO("Lex"));
$diffalg.DiffAutoReduce([x[1,2]^2+x[1,0]^2+3, x[1,1]+3x[1,0]]);
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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]
 
[x[1,1] + 3x[1,0], 82x[1,0]^2 + 3]
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</example>
 
</example>
 
</description>
 
</description>
<see>Diffalg.DiffTO</see>
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<types>
<see>Diffalg.DiffReduce</see>
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<type>polynomial</type>
<wiki-category>Package_diffalg</wiki-category>
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</types>
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<seealso>
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<see>ApCoCoA-1:DA.DiffTO|DA.DiffTO</see>
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<see>ApCoCoA-1:DA.DiffReduce|DA.DiffReduce</see>
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</seealso>
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<key>DiffAutoReduce</key>
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<key>DA.DiffAutoReduce</key>
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<key>diffalg.DiffAutoReduce</key>
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<key>differential.DiffAutoReduce</key>
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<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

DA.DiffTO

DA.DiffReduce