ApCoCoA-1:DA.DiffReduce: Difference between revisions
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DA.DiffReduce computes the differential normal form of F wrt. the set of differential polynomials G. | <ref>DA.DiffReduce</ref> computes the differential normal form of <tt>F</tt> wrt. the set of differential polynomials <tt>G</tt>. | ||
To this end, the elements of G are differentiated sufficiently often and the usual normal form is built. | To this end, the elements of <tt>G</tt> are differentiated sufficiently often and the usual normal form is built. | ||
<itemize> | <itemize> | ||
<item>@param <em>F</em> Differential polynomial to compute the normal form of.</item> | <item>@param <em>F</em> Differential polynomial to compute the normal form of.</item> | ||
<item>@param <em>G</em> List of differential polynomials to wrt. which the normal form of F is computed.</item> | <item>@param <em>G</em> List of differential polynomials to wrt. which the normal form of <tt>F</tt> is computed.</item> | ||
<item>@return Normal form of F wrt. G.</item> | <item>@return Normal form of <tt>F</tt> wrt. <tt>G</tt>.</item> | ||
</itemize> | </itemize> | ||
<example> | <example> | ||
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82x[1,0]^2 + 3 | 82x[1,0]^2 + 3 | ||
------------------------------- | ------------------------------- | ||
</example> | </example> | ||
</description> | </description> | ||
Revision as of 12:44, 7 July 2009
DA.DiffReduce
Computes a differential normal form of a differential polynomial wrt. a list of differential polynomials.
Syntax
DA.DiffReduce(F:POLY, G:LIST):POLY
Description
DA.DiffReduce computes the differential normal form of F wrt. the set of differential polynomials G.
To this end, the elements of G are differentiated sufficiently often and the usual normal form is built.
@param F Differential polynomial to compute the normal form of.
@param G List of differential polynomials to wrt. which the normal form of F is computed.
@return 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.DiffReduce(x[1,2]^2+x[1,0]^2+3, [x[1,1]+3x[1,0]]); ------------------------------- 82x[1,0]^2 + 3 -------------------------------
