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

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{{Version|1}}
 
<command>
 
<command>
 
     <title>DA.LD</title>
 
     <title>DA.LD</title>
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<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>DegOrd</quotes>));
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Use QQ[x[1..2,0..20]], Ord(DA.DiffTO("DegOrd"));
 
F:=x[1,2]^2*x[1,1]-x[2,4]^3;
 
F:=x[1,2]^2*x[1,1]-x[2,4]^3;
 
DA.LD(F);
 
DA.LD(F);

Latest revision as of 13:30, 29 October 2020

This article is about a function from ApCoCoA-1.

DA.LD

Computes the leading derivative of a differential polynomial.

Syntax

DA.LD(F:POLY):POLY

Description

DA.LD computes the leading derivative of polynomial F wrt. the current differential term ordering, or the hereby induced ranking respectively.

  • @param F A differential polynomial.

  • @return The leading derivative of F.

Example

Use QQ[x[1..2,0..20]];
Use QQ[x[1..2,0..20]], Ord(DA.DiffTO("DegOrd"));
F:=x[1,2]^2*x[1,1]-x[2,4]^3;
DA.LD(F);
-------------------------------
x[2,4]
-------------------------------

DA.DiffTO