Difference between revisions of "ApCoCoA-1:DA.PseudoReduce"
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<command> | <command> | ||
<title>DA.PseudoReduce</title> | <title>DA.PseudoReduce</title> | ||
| − | <short_description> | + | <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. | + | <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 <em>F</em> Differential polynomial for which to compute the pseudo normal.</item> | <item>@param <em>F</em> Differential polynomial for which to compute the pseudo normal.</item> | ||
| − | <item>@param <em>G</em> List of differential polynomials wrt. which the normal form of F has to be computed.</item> | + | <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 | + | <item>@return The pseudo normal form of <tt>F</tt> wrt. <tt>G</tt>.</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.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> | + | <see>ApCoCoA-1:DA.DiffTO|DA.DiffTO</see> |
<key>PseudoReduce</key> | <key>PseudoReduce</key> | ||
| Line 31: | Line 31: | ||
<key>diffalg.PseudoReduce</key> | <key>diffalg.PseudoReduce</key> | ||
<key>differential.PseudoReduce</key> | <key>differential.PseudoReduce</key> | ||
| − | <wiki-category>Package_diffalg</wiki-category> | + | <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]
-------------------------------
