ApCoCoA-1:BB.GenericBB: Difference between revisions
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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, | 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 00:54, 4 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>.