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

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(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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<command>
 
<command>
 
     <title>diffalg.Sep</title>
 
     <title>diffalg.Sep</title>
     <short_description>Returns the separand of F wrt. the current differential term ordering. </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]
-------------------------------


Diffalg.DiffTO

Diffalg.Differentiate

Diffalg.Initial