ApCoCoA-1:DA.Sep: Difference between revisions
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<ref>DA.Sep</ref> returns the separand of polynomial <tt>F</tt> wrt. the current differential term ordering, or the hereby induced ranking, respectively. The seperand of <tt>F</tt> is just the initial of the derivative of <tt>F</tt>. | <ref>ApCoCoA-1:DA.Sep|DA.Sep</ref> returns the separand of polynomial <tt>F</tt> wrt. the current differential term ordering, or the hereby induced ranking, respectively. The seperand of <tt>F</tt> is just the initial of the derivative of <tt>F</tt>. | ||
<itemize> | <itemize> | ||
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<see>DA.DiffTO</see> | <see>ApCoCoA-1:DA.DiffTO|DA.DiffTO</see> | ||
<see>DA.Differentiate</see> | <see>ApCoCoA-1:DA.Differentiate|DA.Differentiate</see> | ||
<see>DA.Initial</see> | <see>ApCoCoA-1:DA.Initial|DA.Initial</see> | ||
<key>Sep</key> | <key>Sep</key> | ||
Revision as of 08:11, 7 October 2020
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, respectively. 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 QQ[x[1..2,0..20]]; Use QQ[x[1..2,0..20]], Ord(DA.DiffTO(<quotes>Lex</quotes>)); 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] -------------------------------
