Difference between revisions of "ApCoCoA-1:DA.PseudoReduce"
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| − | <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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<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> | ||
Revision as of 08:11, 7 October 2020
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] -------------------------------
