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

From ApCoCoAWiki
Line 1: Line 1:
 
<command>
 
<command>
     <title>diffalg.LD</title>
+
     <title>DA.LD</title>
 
     <short_description>the leading derivative of a differential polynomial</short_description>
 
     <short_description>the leading derivative of a differential polynomial</short_description>
 
<syntax>
 
<syntax>
$diffalg.LD(F:POLY):POLY
+
DA.LD(F:POLY):POLY
 
</syntax>
 
</syntax>
 
<description>
 
<description>
LD computes the leading derivative of polynomial F wrt. the current differential term ordering, or the hereby induced ranking respectivly.
+
DA.LD computes the leading derivative of polynomial F wrt. the current differential term ordering, or the hereby induced ranking respectivly.
 +
<itemize>
 +
<item>@param F A differential polynomial.</item>
 +
<item>@return The leading derivative of F.</item>
 +
</itemize>
 
<example>
 
<example>
 
Use Q[x[1..2,0..20]];
 
Use Q[x[1..2,0..20]];
Use Q[x[1..2,0..20]], Ord($diffalg.DiffTO("DegOrd"));
+
Use Q[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;
$diffalg.LD(F);
+
DA.LD(F);
 
-------------------------------
 
-------------------------------
 
x[2,4]
 
x[2,4]
Line 17: Line 21:
 
</example>
 
</example>
 
</description>
 
</description>
<see>Diffalg.DiffTO</see>
+
<types>
 +
<type>polynomial</type>
 +
</types>
 +
<see>DA.DiffTO</see>
 +
<key>LD</key>
 +
<key>DA.LD</key>
 +
<key>diffalg.LD</key>
 +
<key>differential.LD</key>
 
<wiki-category>Package_diffalg</wiki-category>
 
<wiki-category>Package_diffalg</wiki-category>
 
</command>
 
</command>

Revision as of 13:35, 22 April 2009

DA.LD

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 respectivly.

  • @param F A differential polynomial.

  • @return The leading derivative of F.

Example

Use Q[x[1..2,0..20]];
Use Q[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