Let $pounds$ be the category of all locally compact abelian (LCA) groups‎. ‎In this paper‎, ‎the groups $G$ in $pounds$ are determined such that every extension $0to Xto Yto Gto 0$ with divisible‎, ‎$sigma-$compact $X$ in $pounds$... more
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Computing driving directions has motivated many shortest path algorithms based on preprocessing. Given a graph, the preprocessing stage computes a modest amount of auxiliary data, which is then used to speed up online queries. In... more
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Critical‐band spectrum is known to represent the redundancies of the human auditory system. Vector quantization constitutes a minimal redundant code set for a given signal source. In this study, these techniques are combined in a low‐rate... more
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The additive (s1, s2)–functional inequality of the form ‖f(x + 2y + 3z)− f(x + z)− 2f(y + z)‖ ≤ ‖s1(f(x + 2y − 3z)− f(x− z)− 2f(y − z))‖ + ∥∥∥∥s2 (f(x + z) + 2f(y + z)− 2f (x + 2y + 3z 2 ))∥∥∥∥ is solved without any regularity... more
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• Mathematics
For a fixed positive integer \kappa, the functional equation \kappa f(m^2 + n^2) = f(\kappa m^2) + \kappa f(n^2), (m,n\in\mathbb{N}) is solved for multiplicative functions f. This complements a 1996 result of Chung [2] which deals with... more
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• Mathematics
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ABSTRACT The characterization of distributions is well known in the field of statistics and reliability. This paper characterizes a few distributions with the help of failure rate, mean residual, log-odds rate, and aging intensity... more
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We give a new separability criterion, a necessary condition for separability of N-partite quantum states. The criterion is based on the Bloch representation of a N-partite quantum state and makes use of multilinear algebra, in particular,... more
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In developing modern logic, Frege aims to substantiate the logicist view of arithmetic. In this view, arithmetic is reducible to logic: one can define all arithmetical notions using only logical notions, and prove all arithmetic truths... more
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One of characteristics of the traffic intensity in M/M/1 queue is the expected queue length. In this article, the problem of Bayes, E-Bayes, and robust Bayes estimation of the expected length in a ...
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This paper presents a technique for the optimization of bound queries over disjunctive deductive databases with constraints. The proposed approach is an extension of the well-known Magic-Set technique and is well-suited for being... more
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ABSTRACT The aim of this note is to give an extension of a result by McShane to a general stochastic integral operator with a non-Lipschitz condition on the coefficient functions.
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We consider a class of stochatic dieren tial equations with non- Lipschitz coecien t functions which modeling the evolution of the price of stocks on the nancial market. We study the existence and uniqueness of so- lution processes as... more
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ABSTRACT Very high-order transverse mode selection using intra-cavity phase elements in passive Q-switched Nd:YAG and Er:glass lasers is reported. Stable operation of pure high-order modes is achieved (TEM44), resulting in considerable... more
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