Difference between revisions of "ApCoCoA-1:BBSGen.NonStand"
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| + | <command> | ||
| + | <title>BBSGen.Wmat</title> | ||
| + | <short_description>This function computes the non-standard Indeterminates with respect to the arrow grading in the Coordinate Ring of Border Basis Scheme. </short_description> | ||
| + | |||
| + | <syntax> | ||
| + | NonStand(OO,BO,N,W); | ||
| + | NonStand(OO:LIST,BO:LIST,N:INTEGER,W:MATRIX):LIST | ||
| + | </syntax> | ||
| + | <description> | ||
| + | <itemize> | ||
| + | <item>@param The order ideal OO, the border BO the number of Indeterminates of the Polynomial Ring and the Weight Matrix.</item> | ||
| + | <item>@return List of Indeterminates and their degree wrt. the arrow grading. </item> | ||
| + | </itemize> | ||
| + | |||
| + | |||
| + | <example> | ||
| + | Use R::=QQ[x[1..2]]; | ||
| + | |||
| + | OO:=BB.Box([1,1]); | ||
| + | BO:=BB.Border(OO); | ||
| + | W:=BBSGen.Wmat(OO,BO,N); | ||
| + | |||
| + | |||
| + | |||
| + | BBSGen.NonStand(OO,BO,N,W); | ||
| + | |||
| + | [[c[1,3], [R :: 1, R :: 2]], | ||
| + | [c[1,4], [R :: 2, R :: 1]], | ||
| + | [c[2,3], [R :: 1, R :: 1]], | ||
| + | [c[3,4], [R :: 1, R :: 1]]] | ||
| + | |||
| + | </example> | ||
| + | |||
| + | </description> | ||
| + | <types> | ||
| + | <type>borderbasis</type> | ||
| + | <type>list</type> | ||
| + | </types> | ||
| + | <see>BB.Border</see> | ||
| + | <see>BB.Box</see> | ||
| + | <see> BBSGen.Wmat</see> | ||
| + | <key>Wmat</key> | ||
| + | <key>BBSGen.Wmat</key> | ||
| + | <key>bbsmingensys.Wmat</key> | ||
| + | <wiki-category>Package_bbsmingensys</wiki-category> | ||
| + | </command> | ||
Revision as of 15:45, 31 May 2012
BBSGen.Wmat
This function computes the non-standard Indeterminates with respect to the arrow grading in the Coordinate Ring of Border Basis Scheme.
Syntax
NonStand(OO,BO,N,W); NonStand(OO:LIST,BO:LIST,N:INTEGER,W:MATRIX):LIST
Description
@param The order ideal OO, the border BO the number of Indeterminates of the Polynomial Ring and the Weight Matrix.
@return List of Indeterminates and their degree wrt. the arrow grading.
Example
Use R::=QQ[x[1..2]]; OO:=BB.Box([1,1]); BO:=BB.Border(OO); W:=BBSGen.Wmat(OO,BO,N); BBSGen.NonStand(OO,BO,N,W); [[c[1,3], [R :: 1, R :: 2]], [c[1,4], [R :: 2, R :: 1]], [c[2,3], [R :: 1, R :: 1]], [c[3,4], [R :: 1, R :: 1]]]
