ApCoCoA-1:BB.ASneighbors: Difference between revisions

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<command>
<command>
    <title>BB.ASneighbors</title>
  <title>BB.ASneighbors</title>
    <short_description>Compute a list of across-the-street neighbors.</short_description>
  <short_description>Compute a list of across-the-street neighbors.</short_description>
<syntax>
  <syntax>BB.ASneighbors(OO:LIST):LIST</syntax>
BB.ASneighbors(OO:LIST):LIST
  <description>
</syntax>
    <description>
Computes the list of across-the-street neighbors in the border of the order ideal OO. The input is a list OO of terms that specify an order ideal. The output is a list of quadruples [i,j,k,l] such that x_k * b_i = x_l * b_j.
Computes the list of across-the-street neighbors in the border of the order ideal OO. The input is a list OO of terms that specify an order ideal. The output is a list of quadruples [i,j,k,l] such that x_k * b_i = x_l * b_j.
<itemize>
<itemize>
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-------------------------------
-------------------------------
</example>
</example>
    </description>
  </description>
<types>
  <types>
<type>list</type>
    <type>list</type>
</types>
  </types>
    <see>BB.NDneighbors</see>
  <see>BB.NDneighbors</see>
    <key>ASneighbors</key>
  <key>ASneighbors</key>
    <key>BB.ASneighbors</key>
  <key>BB.ASneighbors</key>
    <key>borderbasis.ASneighbors</key>
  <key>borderbasis.ASneighbors</key>
    <wiki-category>Package_borderbasis</wiki-category>
  <wiki-category>Package_borderbasis</wiki-category>
</command>
</command>

Revision as of 10:57, 24 April 2009

BB.ASneighbors

Compute a list of across-the-street neighbors.

Syntax

BB.ASneighbors(OO:LIST):LIST

Description

Computes the list of across-the-street neighbors in the border of the order ideal OO. The input is a list OO of terms that specify an order ideal. The output is a list of quadruples [i,j,k,l] such that x_k * b_i = x_l * b_j.

  • @param OO A list of terms representing an order ideal.

  • @return A list of across-the-street neighbors of OO.

Example

Use QQ[x,y,z];
BB.ASneighbors([1,x]);
[[1, 2, 2, 3], [3, 4, 2, 3], [3, 5, 1, 3], [4, 5, 1, 2]]
-------------------------------

BB.NDneighbors