Difference between revisions of "ApCoCoA-1:BBSGen.Wmat"

From ApCoCoAWiki
(Removing all content from page)
Line 1: Line 1:
 +
<command>
 +
  <title>BBSGen.Wmat</title>
 +
  <short_description>This function computes the Weight Matrix with respect to the arrow grading. </short_description>
 +
 
 +
<syntax>
 +
WMat(OO,BO,N):
 +
WMat(OO:LIST,BO:LIST,N:INTEGER):MATRIX
  
 +
</syntax>
 +
  <description>
 +
 +
<itemize>
 +
  <item>@param The order ideal OO, the border BO and the number of Indeterminates of the Polynomial Ring.
 +
</item>
 +
  <item>@return Weight Matrix.</item>
 +
</itemize>
 +
 +
 +
<example>
 +
Use R::=QQ[x[1..2]];
 +
OO:=BB.Box([1,1]);
 +
BO:=BB.Border(OO);
 +
N:=Len(Indets());
 +
----------------------
 +
W:=Wmat(OO,BO,N);
 +
W;
 +
 +
Mat([
 +
  [0, 2, 1, 2, 0, 2, 1, 2, -1, 1, 0, 1, -1, 1, 0, 1],
 +
  [2, 0, 2, 1, 1, -1, 1, 0, 2, 0, 2, 1, 1, -1, 1, 0]
 +
])
 +
 +
 +
</example>
 +
 +
  </description>
 +
<see>Package_borderbasis</see>
 +
  <see>BB.Box</see>
 +
  <see>BB.Border</see>
 +
  <types>
 +
    <type>borderbasis</type>
 +
    <type>ideal</type>
 +
    <type>apcocoaserver</type>
 +
  </types>
 +
  <key>Wmat</key>
 +
  <key>BBSGen.Wmat</key>
 +
  <key>bbsmingen.Wmat</key>
 +
  <wiki-category>Package_borderbasismingen</wiki-category>
 +
</command>

Revision as of 15:19, 31 May 2012

BBSGen.Wmat

This function computes the Weight Matrix with respect to the arrow grading.

Syntax

WMat(OO,BO,N):
WMat(OO:LIST,BO:LIST,N:INTEGER):MATRIX

Description


  • @param The order ideal OO, the border BO and the number of Indeterminates of the Polynomial Ring.

  • @return Weight Matrix.


Example

Use R::=QQ[x[1..2]];
OO:=BB.Box([1,1]); 
BO:=BB.Border(OO);
N:=Len(Indets());
----------------------
W:=Wmat(OO,BO,N); 
W;

Mat([
  [0, 2, 1, 2, 0, 2, 1, 2, -1, 1, 0, 1, -1, 1, 0, 1],
  [2, 0, 2, 1, 1, -1, 1, 0, 2, 0, 2, 1, 1, -1, 1, 0]
])



Package_borderbasis

BB.Box

BB.Border