Difference between revisions of "ApCoCoA-1:BB.GenericBB"
From ApCoCoAWiki
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KHiddemann (talk | contribs) (adding formula and quotes tags) |
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<command> | <command> | ||
<title>borderbasis.GenericBB</title> | <title>borderbasis.GenericBB</title> | ||
| − | <short_description>Compute | + | <short_description>Compute <quotes>generic</quotes> BB w.r.t. order ideal</short_description> |
<syntax> | <syntax> | ||
$borderbasis.GenericBB(OO:LIST):LIST | $borderbasis.GenericBB(OO:LIST):LIST | ||
</syntax> | </syntax> | ||
<description> | <description> | ||
| − | Computes the | + | Computes the <quotes>generic</quotes> border basis w.r.t. an order ideal OO i.e. the polys <formula>g_j = b_j - \sum_i c_{ij} t_i</formula>. The input is a list of terms OO (2nd element of type POLY). The output is a list of POLY in a <quotes>universal family ring</quotes> UF where <formula>UF = K[x_1,..,x_n,c{ij}]</formula>. |
</description> | </description> | ||
<key>Kreuzer</key> | <key>Kreuzer</key> | ||
Revision as of 01:40, 2 November 2007
borderbasis.GenericBB
Compute "generic" BB w.r.t. order ideal
Syntax
$borderbasis.GenericBB(OO:LIST):LIST
Description
Computes the "generic" border basis w.r.t. an order ideal OO i.e. the polys <formula>g_j = b_j - \sum_i c_{ij} t_i</formula>. The input is a list of terms OO (2nd element of type POLY). The output is a list of POLY in a "universal family ring" UF where <formula>UF = K[x_1,..,x_n,c{ij}]</formula>.
