Difference between revisions of "ApCoCoA-1:DA.DiffTO"
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<command> | <command> | ||
<title>DiffTO</title> | <title>DiffTO</title> | ||
| − | <short_description> | + | <short_description>the matrix corresponding to predefined differential term orderings</short_description> |
<syntax> | <syntax> | ||
DA.DiffTO(D:STRING):MATRIX | DA.DiffTO(D:STRING):MATRIX | ||
Revision as of 09:03, 22 December 2008
DiffTO
the matrix corresponding to predefined differential term orderings
Syntax
DA.DiffTO(D:STRING):MATRIX
Description
This function returns the matrix corresponding to the indicated term ordering D.
Example
-- Assume that the current ring is given by Q[x[1..n,0..m]].
-- Then D can be one of the following values:
-- "Lex": Lexicographic ordering with 1<x[1,0]<x[1,1]<x[1,2]<...<x[2,0]<x[2,1]<...
-- "DegLex": S > T iff Deg(S) > Deg(T) or Deg(S) = Deg(T) and S >_Lex T
-- "WLex": S > T iff Weight(S) > Weight(T) or Weight(S) = Weight(T) and S >_Lex T
-- "Ord": Lexicographic ordering with 1<x[1,0]<x[2,0]<...<x[1,1]<x[2,1]<...
-- "DegOrd": S > T iff Deg(S) > Deg(T) or Deg(S) = Deg(T) and S >_Ord T
-- "WOrd": S > T iff Weight(S) > Weight(T) or Weight(S) = Weight(T) and S >_Ord T
--
-- Use as follows:
Use Q[x[1..1,0..20]];
Use Q[x[1..1,0..20]], Ord(DiffTO("Lex"));
