Difference between revisions of "ApCoCoA-1:BB.GenericBB"
From ApCoCoAWiki
KHiddemann (talk | contribs) (adding formula and quotes tags) |
KHiddemann (talk | contribs) m |
||
Line 6: | Line 6: | ||
</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, | + | 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>.