in this paper we find sufficient conditions on primitive inverse topological semigroup s under which: the inversion inv : (h(s)) (h(s)) is continuous; we show that every topologically periodic countable compact primitive inverse topological semigroups with closed h-classes is topologically isomorphic to an orthogonal sum p i2= bi (gi) of topological brandt extensions bi (gi) of countably compac...

We present a unified method to generate conformational statistics which can be applied to any of the classical discrete-chain polymer models. The proposed method employs the concepts of Fourier transform and generalized convolution for the group of rigid-body motions in order to obtain probability density functions of chain end-to-end distance. In this paper, we demonstrate the proposed method ...

one of the most important structural components of engine compartment assembly in a car body is the srail. s-rails has significant role in absorbing energy during crash events and therefore it is designed for efficient behavior in such conditions. driving the peak crushing force of the s-rails is one of the important objectives in the design process of such structures. peak crushing force is ex...

We prove the following isoperimetric inequality in R, conjectured by Glazyrin and Morić. Given a convex body S and k pairwise disjoint convex bodies C1, . . . , Ck that are contained in S, then ∑k i=1 Per(Ci) ≤ Per(S) + 2(k − 1)Diam(S). Here Per(·) denotes the perimeter of a set and Diam(·) is the diameter of a set.

Pairwise forces between particles in cosmological N-body simulations are generally softened to avoid hard collisions. Physically, this softening corresponds to treating the particles as diffuse clouds rather than point masses. For particles of unequal mass (and hence unequal softening length), computing the softened force involves a nontrivial double integral over the volumes of the two particl...

We apply methods of tropical optimization to handle problems of rating alternatives on the basis of the log-Chebyshev approximation of pairwise comparison matrices. We derive a direct solution in a closed form, and investigate the obtained solution when it is not unique. Provided the approximation problem yields a set of score vectors, rather than a unique (up to a constant factor) one, the set...

The concept of  somewhat pairwise fuzzy $alpha$-irresolute continuous mappings and somewhat pairwise fuzzy irresolute $alpha$-open mappings have been introduced and studied. Besides, some interesting properties of those mappings are given.

An important problem in multiresolution analysis of signals and images consists in restoring continuous hidden random variables x = {xs}s∈S from observed ones y = {ys}s∈S . This is done classically in the context of Hidden Markov Trees (HMT). HMT have been generalized recently to Pairwise Markov Trees (PMT). In this paper we propose a smoothing restoration algorithm for Gaussian PMT.