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

From ApCoCoAWiki
m (ApCoCoA:Diffalg.Initial moved to ApCoCoA:DA.Initial: To comply with style principles.)
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Initial returns the initial of polynomial F wrt. the current differential term ordering, or the hereby induced ranking, respectively.
 
Initial returns the initial of polynomial F wrt. the current differential term ordering, 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 initial of F.</item>
 
<item>@return The initial of F.</item>
 
</itemize>
 
</itemize>
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<see>DA.LPot</see>
 
<see>DA.LPot</see>
 
<see>DA.DiffTO</see>
 
<see>DA.DiffTO</see>
 +
 
<key>Initial</key>
 
<key>Initial</key>
 
<key>DA.Initial</key>
 
<key>DA.Initial</key>

Revision as of 11:04, 23 April 2009

DA.Initial

Computes the initial of a differential polynomial.

Syntax

DA.Initial(F:POLY):POLY

Description

Initial returns the initial of polynomial F wrt. the current differential term ordering, or the hereby induced ranking, respectively.

  • @param F A differential polynomial.

  • @return The initial of F.

Example

Use Q[x[1..2,0..20]];
Use Q[x[1..2,0..20]], Ord(DA.DiffTO("Lex"));

F:=x[1,2]^3x[2,2]^2 + x[1,1]^3x[2,2]^2 + 1/4x[1,2];

DA.LD(F);
-------------------------------
x[2,2]
-------------------------------
DA.LPot(F);
-------------------------------
x[2,2]^2
-------------------------------
DA.Initial(F);
-------------------------------
x[1,2]^3 + x[1,1]^3
-------------------------------

DA.LD

DA.LPot

DA.DiffTO