# ApCoCoA-1:DA.Sep

From ApCoCoAWiki

Revision as of 09:13, 22 December 2008 by S schuster (talk | contribs)

## 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] -------------------------------