ApCoCoA-1:BB.ASneighbors: Difference between revisions
From ApCoCoAWiki
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<command> | <command> | ||
<title>borderbasis.ASneighbors</title> | <title>borderbasis.ASneighbors</title> | ||
<short_description> | <short_description>list of across-the-street neighbors</short_description> | ||
<syntax> | <syntax> | ||
$borderbasis.ASneighbors(OO:LIST):LIST | $borderbasis.ASneighbors(OO:LIST):LIST | ||
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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 <formula>[i,j,k,l]</formula> such that <formula>x_k * b_i = x_l * b_j</formula>. | 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 <formula>[i,j,k,l]</formula> such that <formula>x_k * b_i = x_l * b_j</formula>. | ||
<example> | <example> | ||
ASneighbors([1,x]); | $borderbasis.ASneighbors([1,x]); | ||
[[1, 2, 2, 3], [3, 4, 2, 3], [3, 5, 1, 3], [4, 5, 1, 2]] | [[1, 2, 2, 3], [3, 4, 2, 3], [3, 5, 1, 3], [4, 5, 1, 2]] | ||
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Revision as of 20:42, 7 November 2007
borderbasis.ASneighbors
list of across-the-street neighbors
Syntax
$borderbasis.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 <formula>[i,j,k,l]</formula> such that <formula>x_k * b_i = x_l * b_j</formula>.
Example
$borderbasis.ASneighbors([1,x]); [[1, 2, 2, 3], [3, 4, 2, 3], [3, 5, 1, 3], [4, 5, 1, 2]] -------------------------------
