Difference between revisions of "ApCoCoA-1:DA.InitialOfDer"
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DA.InitialOfDer returns the polynomial leading coefficient of polynomial F regarded as polynomial in the derivative X. | DA.InitialOfDer returns the polynomial leading coefficient of polynomial F regarded as polynomial in the derivative X. | ||
<itemize> | <itemize> | ||
| − | <item>@param F A differential polynomial.</item> | + | <item>@param <em>F</em> A differential polynomial.</item> |
| − | <item>@param X A indeterminate.</item> | + | <item>@param <em>X</em> A indeterminate.</item> |
<item>@return Initial of F wrt. X.</item> | <item>@return Initial of F wrt. X.</item> | ||
</itemize> | </itemize> | ||
| Line 29: | Line 29: | ||
<see>DA.Initial</see> | <see>DA.Initial</see> | ||
<see>DA.DiffTO</see> | <see>DA.DiffTO</see> | ||
| + | |||
<key>InitialOfDer</key> | <key>InitialOfDer</key> | ||
<key>DA.InitialOfDer</key> | <key>DA.InitialOfDer</key> | ||
Revision as of 11:05, 23 April 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 Q[x[1..2,0..20]];
Use Q[x[1..2,0..20]], Ord(DA.DiffTO("Lex"));
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
-------------------------------
