We give the distribution functions, the expected values, and the moments of linear combinations of lattice polynomials from the uniform distribution. Linear combinations of lattice polynomials, which include weighted sums, linear combinations of order statistics, and lattice polynomials, are actually those continuous functions that reduce to linear functions on each simplex of the standard tria...

This study aims to determine the concentration of SLS and NaCl which can produce best formula aloe vera extract liquid soap (Aloe L.). The method used in this is Simplex Lattice Design method. Eight formulas were made with different concentrations NaCl, then parameters viscosity, specific gravity, foam resistance, pH determined. data obtained was tested one sample t-test see difference between ...

Given a non-negative integer k, we construct a lattice 3-simplex P with the following property: The affine semigroup QP associated to P is not normal, and every element q ∈ QP \ QP has lattice distance at least k above every facet of QP .

Published descriptions of families with lattice dystrophy of the cornea reveal a much more varied clinical course and a more pleomorphic corneal picture than the rather stereotyped textbook descriptions would suggest. This report describes a family with lattice dystrophy of unusually late onset with retention of useful vision into the 7th decade. Herpes simplex keratitis was misdiagnosed in 5 m...

A simplex-lattice mixture design with response surface methodology was used to evaluate in vitro synergistic antioxidant activity of red, green, and brown Brazilian propolis extract blends. The capacity blends measured using the fluorine method oxygen radical absorption assay (ORAC assay). interaction identified between green extracts, predictive model accused a binary composed 59% 41% extracts...

A theorem of Howe states that every 3-dimensional lattice polytope P whose only lattice points are its vertices, is a Cayley polytope, i.e. P is the convex hull of two lattice polygons with distance one. We want to generalize this result by classifying 3-dimensional lattice polytopes without interior lattice points. The main result will be, that they are up to finite many exceptions either Cayl...