Difference between revisions of "ApCoCoA-1:DA.Sep"
From ApCoCoAWiki
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</syntax> | </syntax> | ||
<description> | <description> | ||
| − | DA.Sep returns the separand of polynomial F wrt. the current differential term ordering, or the hereby induced ranking, respectivly. | + | DA.Sep returns the separand of polynomial F wrt. the current differential term ordering, or the hereby induced ranking, respectivly. The seperand of F is just the initial of the derivative of F. |
| − | |||
| − | The seperand of F is just the initial of the derivative of F. | ||
<itemize> | <itemize> | ||
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<type>polynomial</type> | <type>polynomial</type> | ||
</types> | </types> | ||
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<see>DA.DiffTO</see> | <see>DA.DiffTO</see> | ||
<see>DA.Differentiate</see> | <see>DA.Differentiate</see> | ||
Revision as of 11:29, 24 April 2009
DA.Sep
Computes the separand of a differential polynomial.
Syntax
DA.Sep(F:POLY):POLY
Description
DA.Sep returns the separand of polynomial F wrt. the current differential term ordering, or the hereby induced ranking, respectivly. The seperand of F is just the initial of the derivative of F.
@param F A differential polynomial.
@return The seperand of F wrt. to the current differential term ordering.
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];
G:=DA.Differentiate(F);
DA.Initial(G);
-------------------------------
2x[1,2]^3x[2,2] + 2x[1,1]^3x[2,2]
-------------------------------
DA.Sep(F);
-------------------------------
2x[1,2]^3x[2,2] + 2x[1,1]^3x[2,2]
-------------------------------
