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6.1.3 Package borderbasis
The following are commands and functions within the package borderbasis:
BB.ASgens Computes the generators of the vanishing ideal of a border basis scheme.
BB.ASneighbors Computes a list of across-the-street neighbors.
BB.BBasis Computes the border basis of a zero-dimensional ideal.
BB.BBasisForMP Computes the border basis of a zero-dimensional ideal generated by marked polynomials.
BB.BBasisForOI Computes the border basis of an ideal w.r.t. a given order ideal.
BB.BBscheme Computes the defining equations of a border basis scheme.
BB.Border Computes the border of an order ideal.
BB.BorderDivAlg Applies the border division algorithm.
BB.Box Computes a box order ideal.
BB.CoeffOfBB Computes the coefficient matrix of a border basis.
BB.GenericBB Computes a generic border basis.
BB.GenericHomBB Computes a generic homogeneous border basis.
BB.GenHomMultMat Computes a generic homogeneous multiplication matrix.
BB.GenMultMat Computes a generic multiplication matrix.
BB.HomASgens Computes the generators of the vanishing ideal of a homogeneous border basis scheme.
BB.HomBBscheme Computes the defining equations of a homogeneous border basis scheme.
BB.HomNDgens Computes the generators of the vanishing ideal of a homogeneous border basis scheme.
BB.LiftAS Computes the border basis scheme ideal generators obtained from lifting of AS neighbours.
BB.LiftASViaServer Computes the border basis scheme ideal generators obtained from lifting of AS neighbours.
BB.LiftHomAS Computes the homogeneous border basis scheme generators obtained from lifting of AS neighbours.
BB.LiftHomND Computes the homogeneous border basis scheme ideal generators obtained from lifting of next-door neighbors.
BB.LiftND Computes the border basis scheme ideal generators obtained from lifting of next-door neighbours.
BB.LiftNDViaServer Computes the border basis scheme ideal generators obtained from lifting of next-door neighbors.
BB.MultMat Computes the i-th multiplication matrix associated to a border basis.
BB.NDgens Computes the generators of the vanishing ideal of a border basis scheme.
BB.NDneighbors Computes a list of next-door neighbors.
BB.TransformBBIntoGB Transforms a border basis into a Groebner basis.
BB.TransformGBIntoBB Transforms a Groebner basis into a border basis.




For details look up each item by name. Online, try ?ItemName or H.Syntax("ItemName").