ApCoCoA-1:DA.InitialOfDer: Difference between revisions
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<ref>DA.InitialOfDer</ref> returns the polynomial leading coefficient of polynomial <tt>F</tt> regarded as polynomial in the derivative <tt>X</tt>. | <ref>ApCoCoA-1:DA.InitialOfDer|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> | ||
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<type>polynomial</type> | <type>polynomial</type> | ||
</types> | </types> | ||
<see>DA.Initial</see> | <see>ApCoCoA-1:DA.Initial|DA.Initial</see> | ||
<see>DA.DiffTO</see> | <see>ApCoCoA-1:DA.DiffTO|DA.DiffTO</see> | ||
<key>InitialOfDer</key> | <key>InitialOfDer</key> | ||
Revision as of 08:10, 7 October 2020
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 -------------------------------
