We consider an M/G/1 retrial queue, where the service time distribution has a regularly varying tail with index −β, 1 < β < 2. It is shown that the waiting time distribution has a regularly varying tail with index 1− β, and the pre-factor is determined explicitly. The result is obtained by comparing the waiting time in the M/G/1 retrial queue with the waiting time in the ordinary M/G/1 queue wi...

Let G be a chordal graph and I(G) its edge ideal. Let β(I(G)) = (β0, β1, . . . , βp) denote the Betti sequence of I(G), where βi stands for the ith total Betti number of I(G) and where p is the projective dimension of I(G). It will be shown that there exists a simplicial complex ∆ of dimension p whose f -vector f(∆) = (f0, f1, . . . , fp) coincides with β(I(G)).

This study investigated the production and quality evaluation of selected spices [Ginger (Zingiber officinale), garlic (Allium sativum), turmeric (Curcuma longa) clove (Syzygium aromaticum)]. The were labeled GP (garlic powder), TP (turmeric CP (cloves powder) GPW (ginger powder). samples evaluated for phytochemicals, β-carotene minerals using standard procedures. phytochemicals ranged as follo...

Beta-carotene is converted in the body to vitamin A, a powerful antioxidant that plays an essential role maintaining healthy eyes, skin, and neurological function. other carotenoids have activities are valued for their ability prevent chronic disease. β-carotene found yellow, orange, red, green fruits. The purpose of this study was determine Jongi. Jongi (Dillenia Serrata Thunb.) endemic fruit ...

Let g be a Riemannian metric on a bounded domain in two dimensions with a Lipschitz boundary. We show that one can determine the equivalent class of g and β in the W 1,p topology, p > 2, from knowledge of the associated Dirichletto-Neumann (DN) map g,β to the elliptic equation divg(β∇gu) = 0. The DN map encodes all the voltage and current measurements at the boundary.

OBJECTIVE In the present study, we aimed to assess whether gelatin/β-tricalcium phosphate (β-TCP) composite porous scaffolds could be used as a local controlled release system for vancomycin. We also investigated the efficiency of the scaffolds in eliminating infections and repairing osteomyelitis defects in rabbits. METHODS The gelatin scaffolds containing differing amounts of of β-TCP (0%, ...

Let β G X denote the maximal equivariant compactiίication (G-com-pactίfication) of the G-space X (i.e. a topological space X, completely regular and Hausdorff, on which the topological group G acts as a continuous transformation group). If G is locally compact and locally connected, then we show that β G (XX Y) = β G X X β G Y if and only if X X Y is what we call G-pseudocompact, provided X and...

• Prop. 8. If g imperfectly dominates f, then hβ(f,g) imperfectly dominates f. ... and yield a hierarchy of manipulability and efficiency. • Prop. 9./10. Given f SP, g manipulable and weakly less varying than f, g imperfectly dominates f, 0≤β<β‘≤1, then 1. hβ‘(f,g) is intensely and strongly more manipulable than hβ(f,g) 2. hβ‘(f,g) imperfectly dominates hβ(f,g). ... which preserve PSP, are comp...

An edge dominating set F of a graph G is a subset of E(G) such that every edge in E(G) \ F is incident with at least one vertex that is an end-point of an edge in F . Edge dominating sets of small cardinality are of interest. We refer to the size of a smallest edge dominating set of a graph G as the edge domination number of G and denote this by β(G). In this paper we improve all current known ...

In this paper, we give new sparse interpolation algorithms for black box univariate and multivariate rational functions h = f/g whose coefficients are integers with an upper bound. The main idea is as follows: choose a proper integer β and let h(β) = a/b with gcd(a, b) = 1. Then f and g can be computed by solving the polynomial interpolation problems f(β) = ka and g(β) = ka for some integer k. ...