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

From ApCoCoAWiki
Line 13: Line 13:
 
<example>
 
<example>
 
Use Q[x[1..2,0..20]];
 
Use Q[x[1..2,0..20]];
Use Q[x[1..2,0..20]], Ord(DA.DiffTO("Lex"));
+
Use Q[x[1..2,0..20]], Ord(DA.DiffTO(<quotes>Lex</quotes>));
  
 
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];

Revision as of 13:15, 27 April 2009

DA.Initial

Computes the initial of a differential polynomial.

Syntax

DA.Initial(F:POLY):POLY

Description

Initial returns the initial of polynomial F wrt. the current differential term ordering, or the hereby induced ranking, respectively.

  • @param F A differential polynomial.

  • @return The initial of F.

Example

Use Q[x[1..2,0..20]];
Use Q[x[1..2,0..20]], Ord(DA.DiffTO(<quotes>Lex</quotes>));

F:=x[1,2]^3x[2,2]^2 + x[1,1]^3x[2,2]^2 + 1/4x[1,2];

DA.LD(F);
-------------------------------
x[2,2]
-------------------------------
DA.LPot(F);
-------------------------------
x[2,2]^2
-------------------------------
DA.Initial(F);
-------------------------------
x[1,2]^3 + x[1,1]^3
-------------------------------

DA.LD

DA.LPot

DA.DiffTO