ApCoCoA-1:BB.LiftHomND: Difference between revisions
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<title>BB.LiftHomND</title> | <title>BB.LiftHomND</title> | ||
<short_description>homogeneous | <short_description>Compute the homogeneous border basis scheme ideal generators obtained from lifting of ND neighbors.</short_description> | ||
<syntax> | <syntax> | ||
BB.LiftHomND(OO:LIST):LIST | BB.LiftHomND(OO:LIST):LIST | ||
Revision as of 16:15, 21 April 2009
BB.LiftHomND
Compute the homogeneous border basis scheme ideal generators obtained from lifting of ND neighbors.
Syntax
BB.LiftHomND(OO:LIST):LIST
Description
Computes the generators of the border basis scheme ideal <formula>I(\mathbb{B}^{\textrm{hom}}_\mathcal{O})</formula> that result from the lifting of next-door neighbors. The input is a list of terms OO (2nd element of type POLY). The output is a list of poly in the ring <formula>BBS=K[c_{ij}]</formula>.
Example
Use Q[x,y,z], DegRevLex; BB.LiftHomND([Poly(1), x, y, xy]); [BBS :: c[3,1]c[4,4] + c[2,1] - c[4,2], BBS :: c[2,1]c[4,5] + c[3,1] - c[4,3]] -------------------------------
