We give a criterion which characterizes real multi-variate Laurent polynomial with full-dimensional smooth Newton polytope to have the property that all sufficiently large powers of fully positive coefficients. Here is said coefficients if its monomial terms indexed by lattice points are positive. Our result generalizes an earlier Colin Tan and author, corresponds special case when translate st...

Presents article is deal with optimization of the fixture for end milling process, the most important objective being the minimization of work piece deformation by changing the layout of fixture elements and the clamping forces. The main objective of this work has been the optimization of the fixtures Work piece deformation subjected to clamping forces for End milling operation. The present ana...

This article first presents three-level simplex designs of n = k+1 runs for k factors. Each simplex design is composed of k treatment combinations from a two-level factorial design, plus an additional base run that represents a third level for each factor. These orthogonal, first-order designs are simple to construct. It is also noted that the k treatment combinations in each simplex design • f...

In this licentiate thesis we study relations among invariants of lattice polytopes, with particular focus on bounds for the volume. In the first paper we give an upper bound on the volume vol(P∗) of a polytope P∗ dual to a d-dimensional lattice polytope P with exactly one interior lattice point, in each dimension d . This bound, expressed in terms of the Sylvester sequence, is sharp, and is ach...

We develop the filter theory in triangle algebras. We define several interval valued residuated lattice-filters (IVRL-filters for short) in triangle algebras. We investigate the relationships among these types of IVRL-filters. Also, some special triangle algebras are introduced and studied in details.

Borozan and Cornuéjols introduced a semi-infinite relaxation for mixed-integer linear programs, derived from the simplex tableau relative to a fractional vertex f of the linear relaxation. They showed that any minimal valid inequality for such relaxation is determined by a maximal lattice-free convex set containing f . In this note we show that, for the purpose of generating cuts for the origin...

Objective: Quantum algorithm are stronger and more secure than the classical computers not because they run on faster harder but also, require fewer steps. With attackers have high computing power with quantum can easily break cryptographic system. Lattice is regularly spaced grid of points stretching to infinity. safe security algorithms resistant both attacks caused by attack computers. based...