# Difference between revisions of "ApCoCoA-1:DA.DiffTO"

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S schuster (talk | contribs) m (ApCoCoA:Diffalg.DiffTO moved to ApCoCoA:DA.DiffTO: To comply with style principles.) |
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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"));