We present a formula for the degree of the discriminant of a smooth projective toric variety associated to a lattice polytope P, in terms of the number of integral points in the interior of dilates of faces of dimension ...

The strain smoothing technique over higher order elements and arbitrary polytopes yields less accurate solutions than other techniques such as the conventional polygonal finite element method. In this work, we propose a ...

In this paper, the recently proposed linearly consistent one point integration rule for the meshfree methods is extended to arbitrary polytopes. The salient feature of the proposed technique is that it requires only one ...

We give formulas for the multiplicity of any affine isolated zero of a generic polynomial system of n equations in n unknowns with prescribed sets of monomials. First, we consider sets of supports such that the origin is ...

En este trabajo, investigamos el retículo de caras, la propiedad de aditividad, el f-vector y algunas conexiones con clases de matrices combinatorias de unos politopos asociados con tres conceptos de mayorización. El ...

Ehrhart Theory presents a tool for the study of integer dilations of integral polytopes (convex polytopes whose vertices all have integer coordinates) via an associated polynomial in the dilation factor. This is then ...