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A method to generate lower bounds for the channel assignment problem is given. The method is based on the reduction of the channel assignment problem to a problem of covering the demand in a cellular network by preassigned blocks of cells called tiles. This tile cover approach is applied to networks...
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A simple formula for computing the generalized Hubbell radiation rectangular source integralis introduced. Tables are given to compare the numerical values derived from our approximation formula with those given earlier in the literature.
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Many previous studies of obese rodents documented biochemical changes in pancreatic islets that contribute to hyperinsulinemia in vivo. Those studies used heterogeneous populations of islets, although the size of islets from obese rats ranges from 500 microm. Here, functional and morphological chang...
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The Australian Institute of Marine Science (AIMS) conducted a pilot study around the Harriet A oil production platform oil the Northwest Shelf of Australia. We evaluated hepatic ethoxyresorufin-O-deethylse (EROD) activity, fluorescent aromatic compounds (FACs) in bile and immunodetection of CYP1A-li...
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A tensorial Green-function treatment of the electronic transmission properties of an atomic wire T-junction is presented within the framework of the tight-binding approximation. The adoption of the tensorial formalism enables overlap effects to be included in a straightforward manner, without the ne...
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Cigarette smoking is the predominant risk factor for bladder cancer in males and females. The tobacco carcinogens are metabolized by various xenobiotic metabolizing enzymes such as N-acetyltransferases (NAT) and glutathione S-transferases (GST). Polymorphisms in NAT and GST genes alter the ability o...
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We analyze the polynomial solutions of the linear differential equation where is a -degree polynomial. We discuss all the possible polynomial solutions and their dependence on the parameters of the polynomials . Special cases are related to known differential equations of mathematical physics. Class...
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In this article we study a natural weakening – which we refer to as paratransitivity – of the well-known notion of transitivity of an algebra AA of linear operators acting on a finite-dimensional vector space VV. Given positive integers k and m, we shall say that such an algebra AA is (k,m)(k,m)...
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In this paper, the authors continue the analysis, first undertaken in Livshits et al. (2013) [2], of algebras AA of linear transformations on an n-dimensional complex vector space VV which have the property that if WW is a k-dimensional subspace of VV, then the image of WW under the action of the al...
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In [M.R. Burke, Large entire cross-sections of second category sets in Rn+1Rn+1, Topology Appl. 154 (2007) 215–240], a model was constructed in which for any everywhere second category set A⊆Rn+1A⊆Rn+1 there is an entire function f:Rn→Rf:Rn→R which cuts a large section through A in the sen...
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We consider the geometric Markov renewal processes (GMRP) as a model for a security market. Normal deviations of the geometric Markov renewal processes for ergodic averaging and double averaging schemes are derived. We introduce Poisson averaging scheme for the geometric Markov renewal processes. Eu...
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The one-dimensional Schr ̈odinger’s equation is analysed w ith regard to the existence of exact solutions for decatic polynomial potentials. Under c ertain conditions on the potential’s pa- rameters, we show that the decatic polynomial potential V ( x ) = ax 10 + bx 8 + cx 6 + dx 4 + ex 2 , a >...
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Let T = {τ1, τ2, ..., τK; p1, p2, ..., pK} be a position dependent random map on [0, 1], where {τ1, τ2, ..., τK} is a collection of nonsingular maps on [0, 1] into [0, 1] and {p1, p2, ..., pK} is a collection of position dependent probabilities on [0, 1]. We assume that the random map T has a ...
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The problem is to determine the number of ‘cops’ needed to capture a ‘robber’ in a game in which the cops always know the location of the robber, and the cops and robber move alternately along edges of a reflexive graph. The cops capture the robber if one of them occupies the same vertex as ...
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The larval stages of the cynipid wasp Diplolepis rosaefolii induce the formation of single-chambered, lenticular galls on the leaves of the wild shrub rose, Rosa virginiana. The development of galls induced by D. rosaefolii was studied using light and scanning electron microscopy. The gall consists ...
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By the Kuratowski-Ulam theorem, if A subset of Rn+1 = R-n x R is a Borel set which has second category intersection with every ball (i.e., is "everywhere second category"), then there is a y is an element of R such that the section A boolean AND (R-n x {y}) is everywhere second category in R-n x {y}...
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In this paper we investigate two main problems. One of them is the question on the existence of category liftings in the product of two topological spaces. We prove, that if X x Y is a Baire space, then, given (strong) category liftings rho and sigma on X and Y, respectively, there exists a (strong)...
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