ApCoCoA-1:BB.GenericBB: Difference between revisions

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</syntax>
</syntax>
     <description>
     <description>
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>.
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>.