Aweak completeness phenomenon is investigated in the complexity class E = DTIME(2linear). According to standard terminology, a language H is m-hard for E if the set Pm(H), consisting of all languages A m H , contains the entire class E. A language C is P m-complete for E if it is m-hard for E and is also an element of E. Generalizing this, a language H is weakly m-hard for E if the set Pm(H) do...

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.

The goal of this article is to present the graded weakly S-primary ideals and g-weakly which are extensions primary ideals. We state P a ideal R if there exists s ∈ S such that for all x, y h(R), 0 6=xy P, then sx or sy Grad(P). Several properties characteristics as well investigated.

Residual dipolar couplings measured for weakly aligned proteins provide important restraints for molecular structure determinations by NMR1 spectroscopy which cannot be obtained otherwise.2 Residual dipolar couplings are usually measured by comparing multiplet splittings measured in anisotropic phase with those measured in isotropic phase.2,3 In the absence of scalar couplings, a residual dipol...

Abstract: This paper presents a new algorithm for the closed-loop H∞ composite control of weakly coupled bilinear systems with time-varying parameter uncertainties and exogenous disturbance using the successive Galerkin approximation (SGA). By using weak coupling theory, the robust H∞ control can be obtained from two reduced-order robust H∞ control problems in parallel. The H∞ control theory gu...

A locally compact group G is discrete if and only the Fourier algebra A(G) has a non-zero (weakly) multiplier. We partially extend this result to setting of ultraspherical hypergroups. Let H be an hypergroup let A(H) denote corresponding algebra. will give several characterizations discreteness in terms algebraic properties A(H). also study Arens regularity closed ideals

We present an algorithm to count the number of occurrences a pattern graph H on h vertices as induced subgraph in host G. If G belongs bounded expansion class, runs linear time, if nowhere dense class it almost-linear time. Our design choices are motivated by need for approach that can be engineered into practical implementation sparse graphs. Specifically, we introduce decomposition called cou...

in this paper we introduce the concept of weakly prime ternary subsemimodules of a ternary semimodule over a ternary semiring and obtain some characterizations of weakly prime ternary subsemimodules. we prove that if $n$ is a weakly prime subtractive ternary subsemimodule of a ternary $r$-semimodule $m$, then either $n$ is a prime ternary subsemimodule or $(n : m)(n : m)n = 0$. if $n$ is a $q$-...

In this paper we give some necessary and sufficient conditions for which each Banach lattice  is    space and we study some properties of b-weakly compact operators from a Banach lattice  into a Banach space . We show that every weakly compact operator from a Banach lattice  into a Banach space  is b-weakly compact and give a counterexample which shows that the inverse is not true but we prove ...