ApCoCoA-1:DA.Sep

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diffalg.Sep

the separand of a differential polynomial

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]
-------------------------------


Diffalg.DiffTO

Diffalg.Differentiate

Diffalg.Initial