Numerical Border Basis of ideal of points This function is implemented in CoCoALib (i.e. it requires an active CoCoAServer). It also checks that the current ring is suitable: see below for details. This function returns a record containing a factor-closed set of power-products QB and a list of almost vanishing polynomials. If the cardinality of QB is equal to the number of points, it is in fact a quotient basis of the ideal of points, and in this case a border basis founded on it is also returned.