Difference between revisions of "ApCoCoA-1:DA.PseudoReduce"
From ApCoCoAWiki
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</syntax> | </syntax> | ||
<description> | <description> | ||
| − | DA.PseudoReduce computes the pseudo normal form of the differential polynomial F wrt. the list G of differential polynomials. | + | <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. |
<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 pseudo normal form of F wrt. G.</item> | + | <item>@return The pseudo normal form of <tt>F</tt> wrt. <tt>G</tt>.</item> |
</itemize> | </itemize> | ||
<example> | <example> | ||
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-3x[1,0] | -3x[1,0] | ||
------------------------------- | ------------------------------- | ||
| − | |||
</example> | </example> | ||
</description> | </description> | ||
Revision as of 13:22, 7 July 2009
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(<quotes>Lex</quotes>)); DA.PseudoReduce(x[1,1]^4+x[1,0], [x[1,0]^2+3x[1,0]]); ------------------------------- -3x[1,0] -------------------------------
