Difference between revisions of "ApCoCoA-1:DA.PseudoReduce"
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S schuster (talk | contribs) m (ApCoCoA:Diffalg.PseudoReduce moved to ApCoCoA:DA.PseudoReduce: To comply with style principles.) |
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DA.PseudoReduce computes the pseudo normal form of the differential polynomial F wrt. the list G of differential polynomials. | DA.PseudoReduce computes the pseudo normal form of the differential polynomial F wrt. the list G of differential polynomials. | ||
<itemize> | <itemize> | ||
| − | <item>@param F 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 G 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 F has to be computed.</item> |
<item>@return The pseido normal form of F wrt. G.</item> | <item>@return The pseido normal form of F wrt. G.</item> | ||
</itemize> | </itemize> | ||
| Line 26: | Line 26: | ||
</types> | </types> | ||
<see>DA.DiffTO</see> | <see>DA.DiffTO</see> | ||
| + | |||
<key>PseudoReduce</key> | <key>PseudoReduce</key> | ||
<key>DA.PseudoReduce</key> | <key>DA.PseudoReduce</key> | ||
Revision as of 11:10, 23 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]
-------------------------------
