Difference between revisions of "ApCoCoA-1:DA.DiffTO"
From ApCoCoAWiki
S schuster (talk | contribs) |
S schuster (talk | contribs) |
||
| Line 1: | Line 1: | ||
<command> | <command> | ||
| − | <title>DiffTO</title> | + | <title>DA.DiffTO</title> |
| − | <short_description> | + | <short_description>Matrix corresponding to predefined differential term orderings.</short_description> |
<syntax> | <syntax> | ||
DA.DiffTO(D:STRING):MATRIX | DA.DiffTO(D:STRING):MATRIX | ||
| Line 7: | Line 7: | ||
<description> | <description> | ||
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> | ||
| + | <item>@param D Name of a predefined differential term ordering.</item> | ||
| + | <item>@return The matrix corresponding to the predefined term ordering.</item> | ||
| + | </itemize> | ||
<example> | <example> | ||
| Line 23: | Line 27: | ||
</example> | </example> | ||
</description> | </description> | ||
| − | |||
<types> | <types> | ||
<type>cocoaserver</type> | <type>cocoaserver</type> | ||
</types> | </types> | ||
| − | <key> | + | <see>DA.Weight</see> |
| − | <key> | + | <key>Class</key> |
| − | <key> | + | <key>DA.DiffTO</key> |
| + | <key>diffalg.DiffTO</key> | ||
| + | <key>differential.DiffTO</key> | ||
<wiki-category>Package_diffalg</wiki-category> | <wiki-category>Package_diffalg</wiki-category> | ||
</command> | </command> | ||
Revision as of 13:17, 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"));
