Difference between revisions of "ApCoCoA-1:BB.ASneighbors"

From ApCoCoAWiki
(adding formula tags)
(Reviewed text and added example)
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<command>
 
<command>
 
     <title>borderbasis.ASneighbors</title>
 
     <title>borderbasis.ASneighbors</title>
     <short_description>Compute list of AS neighbors in border of OO</short_description>
+
     <short_description>compute list of across-the-street neighbors</short_description>
 
<syntax>
 
<syntax>
 
$borderbasis.ASneighbors(OO:LIST):LIST
 
$borderbasis.ASneighbors(OO:LIST):LIST
 
</syntax>
 
</syntax>
 
     <description>
 
     <description>
Computes the list of across-the-street neighbors in the border of OO. The input is a list of terms OO (2nd element of type POLY). The output is a list of quadruples <formula>[i,j,k,l]</formula> s.t. <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 of terms OO that specifies 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>.
 
     </description>
 
     </description>
 +
    <see>borderbasis.NDneighbors</see>
 
     <key>Kreuzer</key>
 
     <key>Kreuzer</key>
 
     <key>borderbasis.asneighbors</key>
 
     <key>borderbasis.asneighbors</key>

Revision as of 20:20, 7 November 2007

borderbasis.ASneighbors

compute 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 of terms OO that specifies 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>.

borderbasis.NDneighbors