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

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<command>
 
<command>
 
     <title>DA.LPot</title>
 
     <title>DA.LPot</title>
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</syntax>
 
</syntax>
 
<description>
 
<description>
<ref>DA.LPot</ref> returns the leading power of polynomial <tt>F</tt> wrt. the current differential term order, or the hereby induced ranking respectively.
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<ref>ApCoCoA-1:DA.LPot|DA.LPot</ref> returns the leading power of polynomial <tt>F</tt> wrt. the current differential term order, 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>
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<example>
 
<example>
 
Use QQ[x[1..2,0..20]];
 
Use QQ[x[1..2,0..20]];
Use QQ[x[1..2,0..20]], Ord(DA.DiffTO(<quotes>Lex</quotes>));
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Use QQ[x[1..2,0..20]], Ord(DA.DiffTO("Lex"));
 
DA.LPot(x[1,1]^2x[1,2]^2 + 1/4x[1,2]);
 
DA.LPot(x[1,1]^2x[1,2]^2 + 1/4x[1,2]);
 
-------------------------------
 
-------------------------------
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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>LPot</key>
 
<key>LPot</key>

Latest revision as of 13:30, 29 October 2020

This article is about a function from ApCoCoA-1.

DA.LPot

Computes the leading power of a differential polynomial.

Syntax

DA.LPot(F:POLY):POLY

Description

DA.LPot returns the leading power of polynomial F wrt. the current differential term order, or the hereby induced ranking respectively.

  • @param F A differential polynomial.

  • @return The leading power of F.

Example

Use QQ[x[1..2,0..20]];
Use QQ[x[1..2,0..20]], Ord(DA.DiffTO("Lex"));
DA.LPot(x[1,1]^2x[1,2]^2 + 1/4x[1,2]);
-------------------------------
x[1,2]^2
-------------------------------

DA.DiffTO