Difference between revisions of "ApCoCoA-1:DA.InitialOfDer"
From ApCoCoAWiki
(Description update.) |
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</syntax> | </syntax> | ||
<description> | <description> | ||
| − | DA.InitialOfDer returns the polynomial leading coefficient of polynomial F regarded as polynomial in the derivative X. | + | <ref>DA.InitialOfDer</ref> returns the polynomial leading coefficient of polynomial <tt>F</tt> regarded as polynomial in the derivative <tt>X</tt>. |
<itemize> | <itemize> | ||
<item>@param <em>F</em> A differential polynomial.</item> | <item>@param <em>F</em> A differential polynomial.</item> | ||
<item>@param <em>X</em> A indeterminate.</item> | <item>@param <em>X</em> A indeterminate.</item> | ||
| − | <item>@return Initial of F wrt. X.</item> | + | <item>@return Initial of <tt>F</tt> wrt. <tt>X</tt>.</item> |
</itemize> | </itemize> | ||
<example> | <example> | ||
Revision as of 12:52, 7 July 2009
DA.InitialOfDer
Computes the initial wrt. a given derivative.
Syntax
DA.InitialOfDer(F:POLY, X:INDET):POLY
Description
DA.InitialOfDer returns the polynomial leading coefficient of polynomial F regarded as polynomial in the derivative X.
@param F A differential polynomial.
@param X A indeterminate.
@return Initial of F wrt. X.
Example
Use QQ[x[1..2,0..20]]; Use QQ[x[1..2,0..20]], Ord(DA.DiffTO(<quotes>Lex</quotes>)); F:=x[1,2]^3x[2,2]^2 + x[1,1]^3x[2,2]^2 + 1/4x[1,2]; DA.InitialOfDer(F, x[1,2]); ------------------------------- x[2,2]^2 -------------------------------
