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

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m (ApCoCoA:Diffalg.LPot moved to ApCoCoA:DA.LPot: To comply with style principles.)
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DA.LPot returns the leading power of polynomial F wrt. the current differential term order, or the hereby induced ranking respectively.
 
DA.LPot returns the leading power of polynomial F wrt. the current differential term order, or the hereby induced ranking respectively.
 
<itemize>
 
<itemize>
<item>@param F A differential polynomial.</item>
+
<item>@param <em>F</em> A differential polynomial.</item>
 
<item>@return The leading power of F.</item>
 
<item>@return The leading power of F.</item>
 
</itemize>
 
</itemize>
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</types>
 
</types>
 
<see>DA.DiffTO</see>
 
<see>DA.DiffTO</see>
 +
 
<key>LPot</key>
 
<key>LPot</key>
 
<key>DA.LPot</key>
 
<key>DA.LPot</key>

Revision as of 11:06, 23 April 2009

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 Q[x[1..2,0..20]];
Use Q[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