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

From ApCoCoAWiki
m (fixed links to namespace ApCoCoA)
m (replaced <quotes> tag by real quotes)
 
(One intermediate revision by the same user not shown)
Line 1: Line 1:
 +
{{Version|1}}
 
<command>
 
<command>
 
     <title>DA.Sep</title>
 
     <title>DA.Sep</title>
Line 15: Line 16:
 
<example>
 
<example>
 
Use QQ[x[1..2,0..20]];
 
Use QQ[x[1..2,0..20]];
Use QQ[x[1..2,0..20]], Ord(DA.DiffTO(<quotes>Lex</quotes>));
+
Use QQ[x[1..2,0..20]], Ord(DA.DiffTO("Lex"));
  
 
F:=x[1,2]^3x[2,2]^2 + x[1,1]^3x[2,2]^2 + 1/4x[1,2];
 
F:=x[1,2]^3x[2,2]^2 + x[1,1]^3x[2,2]^2 + 1/4x[1,2];

Latest revision as of 13:30, 29 October 2020

This article is about a function from ApCoCoA-1.

DA.Sep

Computes the separand of a differential polynomial.

Syntax

DA.Sep(F:POLY):POLY

Description

DA.Sep returns the separand of polynomial F wrt. the current differential term ordering, or the hereby induced ranking, respectively. The seperand of F is just the initial of the derivative of F.

  • @param F A differential polynomial.

  • @return The seperand of F wrt. to the current differential term ordering.

Example

Use QQ[x[1..2,0..20]];
Use QQ[x[1..2,0..20]], Ord(DA.DiffTO("Lex"));

F:=x[1,2]^3x[2,2]^2 + x[1,1]^3x[2,2]^2 + 1/4x[1,2];
G:=DA.Differentiate(F);
DA.Initial(G);
-------------------------------
2x[1,2]^3x[2,2] + 2x[1,1]^3x[2,2]
-------------------------------
DA.Sep(F);
-------------------------------
2x[1,2]^3x[2,2] + 2x[1,1]^3x[2,2]
-------------------------------


DA.DiffTO

DA.Differentiate

DA.Initial