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4.14.1 Commands using the CoCoAServer
The following are commands and functions for modules:
BBasis5 compute a Border Basis of zero dimensional ideal
FGLM5 perform a FGLM Groebner Basis conversion
GBasis5, Intersection5, Elim5 calculations using the CoCoAServer
Numerical.BBasisOfPoints5 computes an almost vanishing ideal's Border basis for a given set of points
Numerical.BBasisOfPointsInIdeal5 compute a border basis of a almost vanishing sub ideal for a given set of points and ideal
Numerical.FirstVanishingRelations5 compute the first vanishing relations for a given set of points and stops afterwards
Numerical.FirstVanishingRelationsInIdeal5 compute the first almost vanishing polynomials of a almost vanishing sub ideal for a given set of points and ideal.
Numerical.GBasisOfPoints5 computes an almost vanishing ideal's Groebner basis for a given set of points
Numerical.GBasisOfPointsInIdeal5 compute an almost Groebner basis of an almost vanishing sub ideal for a given set of points and ideal
Numerical.HBasisOfPoints5 computes an almost vanishing ideal's MacCauley basis for a given set of points.
Numerical.HBasisOfPointsInIdeal5 compute a MacCaulay basis of a almost vanishing sub ideal for a given set of points and ideal.
Numerical.QR5 computes the QR-decomposition of a matrix
Numerical.SVD5 Computes the singular value decomposition of a matrix