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

From ApCoCoAWiki
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{{Version|1}}
 
<command>
 
<command>
 
     <title>DA.LD</title>
 
     <title>DA.LD</title>
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</syntax>
 
</syntax>
 
<description>
 
<description>
DA.LD computes the leading derivative of polynomial F wrt. the current differential term ordering, or the hereby induced ranking respectively.
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<ref>ApCoCoA-1:DA.LD|DA.LD</ref> computes the leading derivative of polynomial <tt>F</tt> wrt. the current differential term ordering, or the hereby induced ranking respectively.
 
<itemize>
 
<itemize>
 
<item>@param <em>F</em> A differential polynomial.</item>
 
<item>@param <em>F</em> A differential polynomial.</item>
<item>@return The leading derivative of F.</item>
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<item>@return The leading derivative of <tt>F</tt>.</item>
 
</itemize>
 
</itemize>
 
<example>
 
<example>
Use Q[x[1..2,0..20]];
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Use QQ[x[1..2,0..20]];
Use Q[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);
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<type>polynomial</type>
 
<type>polynomial</type>
 
</types>
 
</types>
<see>DA.DiffTO</see>
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<see>ApCoCoA-1:DA.DiffTO|DA.DiffTO</see>
  
 
<key>LD</key>
 
<key>LD</key>
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<key>diffalg.LD</key>
 
<key>diffalg.LD</key>
 
<key>differential.LD</key>
 
<key>differential.LD</key>
<wiki-category>Package_diffalg</wiki-category>
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<wiki-category>ApCoCoA-1:Package_diffalg</wiki-category>
 
</command>
 
</command>

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