Difference between revisions of "ApCoCoA-1:DA.DiffTO"
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This function returns the matrix corresponding to the indicated term ordering D. | This function returns the matrix corresponding to the indicated term ordering D. | ||
<itemize> | <itemize> | ||
| − | <item>@param D Name of a predefined differential term ordering.</item> | + | <item>@param <em>D</em> Name of a predefined differential term ordering.</item> |
<item>@return The matrix corresponding to the predefined term ordering.</item> | <item>@return The matrix corresponding to the predefined term ordering.</item> | ||
</itemize> | </itemize> | ||
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</types> | </types> | ||
<see>DA.Weight</see> | <see>DA.Weight</see> | ||
| − | <key> | + | <key>DiffTO</key> |
<key>DA.DiffTO</key> | <key>DA.DiffTO</key> | ||
<key>diffalg.DiffTO</key> | <key>diffalg.DiffTO</key> | ||
Revision as of 11:03, 23 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"));
