in the present paper we introduce and study the notion of pairwise weakly lindelof bitopological spaces and obtain some results. further, we also study the pairwise weakly lindelof subspaces and subsets, and investigate some of their properties. it was proved that a pairwise weakly lindelof property is not a hereditary property.

In a previous paper we showed that, for any , most sets of points in are determined (up to rotations, reflections, translations and relabeling of the points) by the distribution of their pairwise distances. But there are some exceptional point configurations which are not reconstructible from the distribution of distances in the above sense. In this paper, we concentrate on the planar case and ...

The transmission over the memoryless additive white Class-A noise (AWCN) channel is considered. For uncoded transmission, an exact expression for the symbol error rate is derived. For coded transmission, the Chernoff bound on the pairwise error probability is calculated and the performance achieved on the real and the complex AWCN channels is compared. Moreover, a lowcomplexity, suboptimum deco...

Pairwise conversions of neutrinos have complicated the challenging goal quantifying relevance neutrino microphysics in compact astrophysical objects, limiting ability to perform numerical simulations and encouraging employment semi-analytical tools, such as linear stability analysis. Given high density, dependence pairwise on energy has been deemed play a negligible role. We show that fast are ...

In micropropagation of lily, preferably bulblets should be produced: Because bulblets are compact and robust, they are much easier to handle and to plant in soil than shoots. In this review, the various factors that determine bulblet growth in vitro are discussed. Gibberellins, jasmonates (JA) and abscisic acid (ABA) are the major identified plant growth regulators (PGRs) for storage organ form...

in the following work we present a proof for the strong law of large numbers for pairwise negatively dependent random variables which relaxes the usual assumption of pairwise independence. let be a double sequence of pairwise negatively dependent random variables. if for all non-negative real numbers t and , for 1 < p < 2, then we prove that (1). in addition, it also converges to 0 in . the res...

| The problem of classifying signals is of interest in several application areas. Typically we are given a nite number m of pairwise disjoint sets C 1 ;: : : ;Cm of signals , and we would like to synthesize a system that maps the elements of each C j into a real number a j , such that the numbers a 1 ; :: : ;am are distinct. In a recent paper it is shown that this classiication can be performed...

A numerical study of the nonlinear wave solutions of the Rosenau-Pikovsky K(cos) equation is presented. This equation supports at least two kind of solitary waves with compact support: compactons of varying amplitude and speed, both bounded, and kovatons which have the maximum compacton amplitude, but arbitrary width. A new Padé numerical method is used to simulate the propagation and, with sma...

Let M be an orientable compact flat Riemannian manifold endowed with a spin structure. In this paper we determine the spectrum of Dirac operators acting on smooth sections of twisted spinor bundles of M , and we derive a formula for the corresponding eta series. In the case of manifolds with holonomy group Z2 , we give a very simple expression for the multiplicities of eigenvalues that allows t...