ApCoCoA-1:DA.LD: Difference between revisions
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S schuster (talk | contribs) 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>... |
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{{Version|1}} | |||
<command> | <command> | ||
<title> | <title>DA.LD</title> | ||
<short_description> | <short_description>Computes the leading derivative of a differential polynomial.</short_description> | ||
<syntax> | <syntax> | ||
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 | <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> | |||
<item>@return The leading derivative of <tt>F</tt>.</item> | |||
</itemize> | |||
<example> | <example> | ||
Use | Use QQ[x[1..2,0..20]]; | ||
Use | 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); | |||
------------------------------- | ------------------------------- | ||
x[2,4] | x[2,4] | ||
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</example> | </example> | ||
</description> | </description> | ||
<see> | <types> | ||
<wiki-category>Package_diffalg</wiki-category> | <type>polynomial</type> | ||
</types> | |||
<see>ApCoCoA-1:DA.DiffTO|DA.DiffTO</see> | |||
<key>LD</key> | |||
<key>DA.LD</key> | |||
<key>diffalg.LD</key> | |||
<key>differential.LD</key> | |||
<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]
-------------------------------
