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

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{{Version|1}}
 
<command>
 
<command>
 
     <title>DA.PseudoReduce</title>
 
     <title>DA.PseudoReduce</title>
     <short_description>Calculate a pseudo normal form of a differential polynomial.</short_description>
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     <short_description>Computes a pseudo normal form of a differential polynomial.</short_description>
 
<syntax>
 
<syntax>
 
DA.PseudoReduce(F:POLY, G:LIST):POLY
 
DA.PseudoReduce(F:POLY, G:LIST):POLY
 
</syntax>
 
</syntax>
 
<description>
 
<description>
DA.PseudoReduce computes the pseudo normal form of the differential polynomial F wrt. the list G of differential polynomials.
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<ref>ApCoCoA-1:DA.PseudoReduce|DA.PseudoReduce</ref> computes the pseudo normal form of the differential polynomial <tt>F</tt> wrt. the list <tt>G</tt> of differential polynomials.
 
<itemize>
 
<itemize>
<item>@param F Differential polynomial for which to compute the pseudo normal.</item>
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<item>@param <em>F</em> Differential polynomial for which to compute the pseudo normal.</item>
<item>@param G List of differential polynomials wrt. which the normal form of F has to be computed.</item>
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<item>@param <em>G</em> List of differential polynomials wrt. which the normal form of <tt>F</tt> has to be computed.</item>
<item>@return The pseido normal form of F wrt. G.</item>
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<item>@return The pseudo normal form of <tt>F</tt> wrt. <tt>G</tt>.</item>
 
</itemize>
 
</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(DA.DiffTO("Lex"));
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Use QQ[x[1..1,0..20]], Ord(DA.DiffTO("Lex"));
 
DA.PseudoReduce(x[1,1]^4+x[1,0], [x[1,0]^2+3x[1,0]]);
 
DA.PseudoReduce(x[1,1]^4+x[1,0], [x[1,0]^2+3x[1,0]]);
 
-------------------------------
 
-------------------------------
 
-3x[1,0]
 
-3x[1,0]
 
-------------------------------
 
-------------------------------
 
 
</example>
 
</example>
 
</description>
 
</description>
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<type>polynomial</type>
 
<type>polynomial</type>
 
</types>
 
</types>
<see>DA.DiffTO</see>
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<see>ApCoCoA-1:DA.DiffTO|DA.DiffTO</see>
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<key>PseudoReduce</key>
 
<key>PseudoReduce</key>
 
<key>DA.PseudoReduce</key>
 
<key>DA.PseudoReduce</key>
 
<key>diffalg.PseudoReduce</key>
 
<key>diffalg.PseudoReduce</key>
 
<key>differential.PseudoReduce</key>
 
<key>differential.PseudoReduce</key>
<wiki-category>Package_diffalg</wiki-category>
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<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.PseudoReduce

Computes a pseudo normal form of a differential polynomial.

Syntax

DA.PseudoReduce(F:POLY, G:LIST):POLY

Description

DA.PseudoReduce computes the pseudo normal form of the differential polynomial F wrt. the list G of differential polynomials.

  • @param F Differential polynomial for which to compute the pseudo normal.

  • @param G List of differential polynomials wrt. which the normal form of F has to be computed.

  • @return The pseudo normal form of F wrt. G.

Example

Use QQ[x[1..1,0..20]];
Use QQ[x[1..1,0..20]], Ord(DA.DiffTO("Lex"));
DA.PseudoReduce(x[1,1]^4+x[1,0], [x[1,0]^2+3x[1,0]]);
-------------------------------
-3x[1,0]
-------------------------------

DA.DiffTO