This paper studies the polynomial basis that generates smallest n-simplex enclosing a given nth-degree curve in Rn. Although Bernstein and B-Spline bases provide feasible solutions to this problem, simplexes obtained by these are not possible, which leads overly conservative results many CAD (computer-aided design) applications. We first prove solves problem (MINVO basis) also for with largest ...

We report RBC and RBC/UKQCD lattice QCD numerical calculations of nucleon electroweak matrix elements with dynamical domain-wall fermions (DWF) quarks. The first, RBC, set of dynamical DWF ensembles employs two degenerate flavors of DWF quarks and the DBW2 gauge action. Three sea quark mass values of 0.04, 0.03 and 0.02 in lattice units are used with 220 gauge configurations each. The lattice c...

Given a lattice Λ, a lattice polyhedra is a convex polyhedra P , such that all vertices of P are lattice points and no other other point in P is a lattice point. By lattice-free convex set we mean a convex set with no lattice point from Λ in its strict interior. However lattice points are allowed on the boundary. We will usually work with the standard lattice in R3, i.e. points which have all t...

The purpose of the study was to prepare and evaluate clarithromycin (CLA) floating tablets using experimental mixture design for treatment of Helicobacter pylori provided by prolonged gastric residence time and controlled plasma level. Ten different formulations were generated based on different molecular weight of hypromellose (HPMC K100, K4M, K15M) by using simplex lattice design (a sub-class...

The current status of some nucleon isovector observables, the vector charge, gV , axial charge, gA, quark momentum fraction, 〈x〉u−d , and quark helicity fraction, 〈x〉∆u−∆d , calculated using recent RBC/UKQCD 2+1-flavor dynamical domain-wall fermions (DWF) lattice QCD ensembles are reported: with Iwasaki gauge action at inverse lattice spacing, a−1, of about 1.7 GeV, linear lattice extent, L, of...

The linear span of isomorphism classes of posets, P, has a Newtonian coalgebra structure. We observe that the ab-index is a Newtonian coalgebra map from the vector space P to the algebra of polynomials in the non-commutative variables a and b. This enables us to obtain explicit formulas showing how the cd-index of the face lattice of a convex polytope changes when taking the pyramid and the pri...

A class of parametric supports in the lattice space Z is found to be inherently improper because any rational parametrization from C to C defined on such a support is improper. For a generic rational parametrization defined on an inherently improper support, we prove that its improper index is the gcd of the normalized volumes of all the simplex sub-supports and give an algorithm to obtain a pr...

Celecoxib is a hydrophobic and highly permeable drug belonging to class II of biopharmaceutics classification system. Low aqueous solubility of celecoxib leads to high variability in absorption after oral administration. Cohesiveness, low bulk density and compressibility, and poor flow properties of celecoxib impart complications in it's processing into solid dosage forms. To improve the solubi...

Fermented drinks are regarded as healthy food due to their probiotic nature. Vegan consumers who choose sustainable diet and people allergic dairy products demand alternatives for products. We aimed develop a non-dairy plant-based yogurt from peanut, oats, coconut milk.
 Yogurt was formulated with addition of sugar, corn starch, pectin, xanthan gum. Simplex-lattice mixture design applied o...

Dedicated to Gian-Carlo Rota on his 2 6 th birthday. Abstract The linear span of isomorphism classes of posets, P, has a Newtonian coalgebra structure. We observe that the ab-index is a Newtonian coalgebra map from the vector space P to the algebra of polynomials in the non-commutative variables a and b. This enables us to obtain explicit formulas showing how the cd-index of the face lattice of...