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

From ApCoCoAWiki
(Applied style principles.)
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<command>
 
<command>
     <title>diffalg.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>Calculate a pseudo normal form of a differential polynomial.</short_description>
 
<syntax>
 
<syntax>
$diffalg.PseudoReduce(F:POLY, G:LIST):POLY
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DA.PseudoReduce(F:POLY, G:LIST):POLY
 
</syntax>
 
</syntax>
 
<description>
 
<description>
PseudoReduce computes the pseudo normal form of the differential polynomial F wrt. the list G of differential polynomials.
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DA.PseudoReduce computes the pseudo normal form of the differential polynomial F wrt. the list G of differential polynomials.
 
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<itemize>
 +
<item>@param F 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>
 +
<item>@return The pseido normal form of F wrt. G.</item>
 +
</itemize>
 
<example>
 
<example>
 
Use Q[x[1..1,0..20]];
 
Use Q[x[1..1,0..20]];
Use Q[x[1..1,0..20]], Ord($diffalg.DiffTO("Lex"));
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Use Q[x[1..1,0..20]], Ord(DA.DiffTO("Lex"));
$diffalg.PseudoReduce(x[1,1]^4+x[1,0], [x[1,0]^2+3x[1,0]]);
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DA.PseudoReduce(x[1,1]^4+x[1,0], [x[1,0]^2+3x[1,0]]);
 
-------------------------------
 
-------------------------------
 
-3x[1,0]
 
-3x[1,0]
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</example>
 
</example>
 
</description>
 
</description>
<see>Diffalg.DiffTO</see>
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<types>
 +
<type>polynomial</type>
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</types>
 +
<see>DA.DiffTO</see>
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<key>PseudoReduce</key>
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<key>DA.PseudoReduce</key>
 +
<key>diffalg.PseudoReduce</key>
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<key>differential.PseudoReduce</key>
 
<wiki-category>Package_diffalg</wiki-category>
 
<wiki-category>Package_diffalg</wiki-category>
 
</command>
 
</command>

Revision as of 13:54, 22 April 2009

DA.PseudoReduce

Calculate 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 pseido normal form of F wrt. G.

Example

Use Q[x[1..1,0..20]];
Use Q[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