SNEDDS merupakan campuran isotropik yang terdiri dari obat, surfaktan, ko-surfaktan dan minyak. Pengembangan optimasi formulasi tepat diperlukan untuk meminimalisir waktu, biaya, serta menjamin optimal. Tujuan penulisan artikel ini adalah menjelaskan aplikasi simplex lattice design (SLD) box behnken (BBD) dalam SNEDDS. Metode digunakan menyusun review yaitu teknik studi pustaka dengan mencari l...

Ah&act-If a point is picked at random inside a regular simplex, octahedron, 600-cell, or other polytope, what is its average squared distance from the centroid? In n-dimensional space, what is the average squared distance of a random point from the closest point of the lattice A, (or D,, , En, A: or D,*)? The answers are given here, together with a description of the Voronoi (or nearest neighbo...

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 development of banana-based snack bars that fulfill the nutritional requirement for toddlers is required. In this study, we analyzed effects different concentrations banana puree, flour and potato starch on characteristics inulin, dietary fiber, protein, potassium as well hardness using response surface methodology. total, 14 experimental models were generated a simplex lattice design. Resu...

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...

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...

augmented downhill simplex method (adsm) is introduced here, that is a heuristic combination of downhill simplex method (dsm) with random search algorithm. in fact, dsm is an interpretable nonlinear local optimization method. however, it is a local exploitation algorithm; so, it can be trapped in a local minimum. in contrast, random search is a global exploration, but less efficient. here, rand...

When generating cutting-planes for mixed-integer programs from multiple rows of the simplex tableau, the usual approach has been to relax the integrality of the non-basic variables, compute an intersection cut, then strengthen the cut coefficients corresponding to integral non-basic variables using the so-called trivial lifting procedure. Although of polynomialtime complexity in theory, this li...

Let n ≥ 2 be an integer and consider the set Tn of n× n permutation matrices π for which πij = 0 for j ≥ i+ 2. In this paper we study the convex hull of Tn, which we denote by Pn. Pn is a polytope of dimension ( n 2 ) . Our main purpose is to provide evidence for the following conjecture concerning its volume. Let vn denote the minimum volume of a simplex with vertices in the affine lattice spa...