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

From ApCoCoAWiki
m (ApCoCoA:Diffalg.LD moved to ApCoCoA:DA.LD: To comply with style principles.)
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DA.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>
 
<itemize>
<item>@param F A differential polynomial.</item>
+
<item>@param <em>F</em> A differential polynomial.</item>
 
<item>@return The leading derivative of F.</item>
 
<item>@return The leading derivative of F.</item>
 
</itemize>
 
</itemize>
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</types>
 
</types>
 
<see>DA.DiffTO</see>
 
<see>DA.DiffTO</see>
 +
 
<key>LD</key>
 
<key>LD</key>
 
<key>DA.LD</key>
 
<key>DA.LD</key>

Revision as of 11:06, 23 April 2009

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 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