ApCoCoA-1:DA.PseudoReduce: Difference between revisions
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<command> | <command> | ||
<title>DA.PseudoReduce</title> | <title>DA.PseudoReduce</title> | ||
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<description> | <description> | ||
<ref>DA.PseudoReduce</ref> computes the pseudo normal form of the differential polynomial <tt>F</tt> wrt. the list <tt>G</tt> 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> | ||
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<example> | <example> | ||
Use QQ[x[1..1,0..20]]; | Use QQ[x[1..1,0..20]]; | ||
Use QQ[x[1..1,0..20]], Ord(DA.DiffTO( | 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]]); | ||
------------------------------- | ------------------------------- | ||
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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> | ||
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]
-------------------------------
