ApCoCoA-1:DA.Sep
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Revision as of 09:59, 15 December 2008 by S schuster (talk | contribs) (New page: <command> <title>diffalg.Sep</title> <short_description>Returns the separand of F wrt. the current differential term ordering. </short_description> <syntax> $diffalg.Sep(F:POLY):PO...)
diffalg.Sep
Returns the separand of F wrt. the current differential term ordering.
Syntax
$diffalg.Sep(F:POLY):POLY
Description
Sep returns the separand of polynomial F wrt. the current differential term ordering, or the hereby induced ranking, respectivly.
The sperand of F is just the initial of the derivative of F.
Example
Use Q[x[1..2,0..20]];
Use Q[x[1..2,0..20]], Ord($diffalg.DiffTO("Lex"));
F:=x[1,2]^3x[2,2]^2 + x[1,1]^3x[2,2]^2 + 1/4x[1,2];
G:=$diffalg.Differentiate(F);
$diffalg.Initial(G);
-------------------------------
2x[1,2]^3x[2,2] + 2x[1,1]^3x[2,2]
-------------------------------
$diffalg.Sep(F);
-------------------------------
2x[1,2]^3x[2,2] + 2x[1,1]^3x[2,2]
-------------------------------
