# Difference between revisions of "ApCoCoA-1:DA.Sep"

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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...) |
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<title>diffalg.Sep</title> | <title>diffalg.Sep</title> | ||

− | <short_description> | + | <short_description>the separand of a differential polynomial</short_description> |

<syntax> | <syntax> | ||

$diffalg.Sep(F:POLY):POLY | $diffalg.Sep(F:POLY):POLY |

## Revision as of 09:13, 22 December 2008

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