In this paper we introduce a family of ordered sets we call k-weak orders which generalize weak orders, semi-orders, and bipartite orders. For each k, we give a polynomial-time recognition algorithm for k-weak orders and a partial characterization. In addition, we prove that among 1-weak orders, the classes of bounded bitolerance orders and totally bounded bitolerance orders are equal. This ena...

Let V be a vertex operator algebra. It is shown that the categories of weak, admissible and ordinary g-twisted modules for the tensor product VOA V ⊗k are isomorphic to the categories of weak, admissible and ordinary V -modules respectively where g is a k cycle automorphism of V ⊗k. For arbitrary permutation automorphism g of V ⊗k the category of admissible g-twisted modules for V ⊗k is semi si...

Hyper-tubes consisting of hyper-cubes of n-dimensions were designed and formulas for substructures of vary dimensions established.

The ontogeny of osmoregulation was studied in laboratory-reared early developmental stages of the Chinese mitten crab Eriocheir sinensis from the Elbe estuary (North Sea, Germany). At salinities ranging from 0.16 to 44.3‰, survival rate was quantified, hemolymph osmolality was measured, and osmoregulatory capacity was calculated as the difference between osmolality of the hemolymph and that of ...

A large number of applications such as querying sensor networks, and analyzing proteinprotein interaction (PPI) networks, rely on mining uncertain graph and hypergraph databases. In this work we study the following problem: Given an uncertain, weighted (hyper)graph, how can we efficiently find a (hyper)matching with high expected reward, and low risk? This problem naturally arises in the contex...

Let K be a compact space, and denote by K̃ its hyperStonean envelope. We discuss the class of spaces K with the property that K̃ is homeomorphic to Ĩ, the hyper-Stonean envelope of the closed unit interval I. Certainly each uncountable, compact, metrizable space K belongs to this class. We describe several further classes of compact spaces K for which K̃ = Ĩ. In fact, K̃ = Ĩ if and only if the Bana...

In this paper, we investigate the order and the hyper order of entire solutions of the higher order linear differential equation f +Ak−1 (z) e k−1f +...+A1 (z) e 1f ′ +A0 (z) e 0f = 0 (k ≥ 2) , where Pj (z) (j = 0, ..., k − 1) are nonconstant polynomials such that degPj = n (j = 0, ..., k − 1) and Aj (z) ( ≡ 0) (j = 0, ..., k − 1) are entire functions with ρ (Aj) < n (j = 0, ..., k − 1). Under ...

An analytical solution to the problem of wave transport matter through composite hyper-fine barriers is constructed. It shown that, for a membrane consisting two identical ultra-thin layers, there are always distances between layers at which resonant passage one components realized. Resonance makes it possible separate de Broiler waves particles with same properties, differ only in masses. Broa...