Difference between revisions of "ApCoCoA1:DA.DiffTO"
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Revision as of 14:07, 22 April 2009
DA.DiffTO
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.
@param D Name of a predefined differential term ordering.
@return The matrix corresponding to the predefined term ordering.
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"));