msu-s mesoporous catalyst with [sio2]/[al2o3] ratio of 55 was synthesized using tetrapropylammonium hydroxide (tpaoh) as a structure directing agent and hexadecyltrimethylammonium bromide (ctab) as a surfactant. the catalytic activity of the calcined sample was evaluated for the dehydration of methanol to dimethyl ether (dme) in a vertical fixed bed microreactor at a weight hurly space velocity...

in order to perform preventive maintenance (pm), two approaches have evolved in the literature. the traditional approach is based on the use of statistical and reliability analysis of equipment failure. under statistical-reliability (s-r)-based pm, the objective of achieving the minimum total cost is pursued by establishing fixed pm intervals, which are statistically optimal, at which to replac...

Let f ∈ L 2 (S 2) be an arbitrary fixed function on the unit sphere S 2 , and D ⊂ R 3 be an arbitrary fixed bounded domain. Let k > 0 and α ∈ S 2 be fixed. It is proved that there exists a potential q ∈ L 2 (D) such that the corresponding scattering amplitude A(α ′) = A q (α ′) = A q (α ′ , α, k) approximates f (α ′) with arbitrary high accuracy: f (α ′) − A q (α ′) L 2 (S 2) ≤ ε where ε > 0 is...

in the present paper, measure differential equations involving the distributional henstock-kurzweil integral are investigated. theorems on the existence and structure of the set of solutions are established by using schauder$^prime s$ fixed point theorem and vidossich theorem. two examples of the main results paper are presented. the new results are generalizations of some previous results in t...

It is shown that the optimum of an integer program in fixed dimension with a fixed number of constraints can be computed with O(s) basic arithmetic operations, where s is the binary encoding length of the input. This improves on the quadratic running time of previous algorithms, which are based on Lenstra’s algorithm and binary search. It follows that an integer program in fixed dimension, whic...

Using the local potential approximation of the exact renormalization group (RG) equation , we show the various domains of values of the parameters of the O(1)-symmetric scalar Hamiltonian. In three dimensions, in addition to the usual critical surface S c (attraction domain of the Wilson-Fisher fixed point), we explicitly show the existence of a first-order phase transition domain S f separated...

Using the local potential approximation of the exact renormalization group (RG) equation , we show the various domains of values of the parameters of the O(1)-symmetric scalar hamiltonian. In three dimensions, in addition to the usual critical surface S c (attraction domain of the Wilson-Fisher fixed point), we explicitly show the existence of a first-order phase transition domain S f separated...

holds for all x, y ∈ [,∞), λ ∈ [, ] and for some fixed s ∈ (, ]. The class of s-convex functions in the second sense is usually denoted by K s . It can be easily seen that for s =  s-convexity reduces to ordinary convexity of functions defined on [,∞). It is proved in [] that all functions from K s , s ∈ (, ) are nonnegative. Similarly, a function f : [,∞)→ R is said to be s-concav...

In the present paper, measure differential equations involving the distributional Henstock-Kurzweil integral are investigated. Theorems on the existence and structure of the set of solutions are established by using Schauder$^prime s$ fixed point theorem and Vidossich theorem. Two examples of the main results paper are presented. The new results are generalizations of some previous results in t...

The monotonicity and the Schur-convexity with parameters (s, t) in R2 for fixed (x, y) and the Schur-convexity and the Schur-geometrically convexity with variables (x, y) in R++ for fixed (s, t) of Gini mean G(r, s;x, y) are discussed. Some new inequalities are obtained.