ApCoCoA-1:BBSGen.Wmat: Difference between revisions

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<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