NP(I)
Given a monomial ideal I in $k[x_1,\dots,x_d]$, the convex hull in $\mathbb{R}^d$ of the set of exponents of all monomials in I is called the Newton polyhedron of I.



Note that a monomial is in the integral closure of I if and only if its exponent vector is in NP(I).


The object NP is a method function.