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

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(New page: <command> <title>diffalg.LD</title> <short_description>Compute the leading derivative of a polynomial.</short_description> <syntax> $diffalg.LD(F:POLY):POLY </syntax> <description>...)
 
m (replaced <quotes> tag by real quotes)
 
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{{Version|1}}
 
<command>
 
<command>
     <title>diffalg.LD</title>
+
     <title>DA.LD</title>
     <short_description>Compute the leading derivative of a polynomial.</short_description>
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     <short_description>Computes the leading derivative of a differential polynomial.</short_description>
 
<syntax>
 
<syntax>
$diffalg.LD(F:POLY):POLY
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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.
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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>
 +
<item>@param <em>F</em> A differential polynomial.</item>
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<item>@return The leading derivative of <tt>F</tt>.</item>
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</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($diffalg.DiffTO("DegOrd"));
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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;
$diffalg.LD(F);
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DA.LD(F);
 
-------------------------------
 
-------------------------------
 
x[2,4]
 
x[2,4]
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</example>
 
</example>
 
</description>
 
</description>
<see>Diffalg.DiffTO</see>
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<types>
<wiki-category>Package_diffalg</wiki-category>
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<type>polynomial</type>
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</types>
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<see>ApCoCoA-1:DA.DiffTO|DA.DiffTO</see>
 +
 
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<key>LD</key>
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<key>DA.LD</key>
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<key>diffalg.LD</key>
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<key>differential.LD</key>
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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