Nuclear magnetic resonance is used to characterize local atomic motions in the glassy and supercooled liquid states of the bulk metallic glass system Pd43Ni10Cu27P20. The temperature dependence of the Knight shift reveals that certain local atomic motion decreases rapidly below a crossover temperature T(c) down to the glass transition temperature T(g). Above T(c) as well as below T(g) the mean-...

In this paper, the definitions of novel classes generalized connected sets (briefly, g-Tg-connected sets) and disconnected g-Tg-disconnected in topological spaces Tg-spaces) are defined terms g-Tg -sets) and, their properties characterizations with respect to set-theoretic relations presented. The basic notions local, pathwise, local pathwise simple g-Tg-connectedness also study shows that -con...

Abstract We study consensus formation in interacting systems that evolve by multi-state majority rule and by plurality rule. In an update event, a group of G agents (with G odd), each endowed with an s-state spin variable, is specified. For majority rule, all group members adopt the local majority state; for plurality rule the group adopts the local plurality state. This update is repeated unti...

Let G be a multidigraph with vertices V (G) and arcs A(G). G is balanced if d+G(v) = d − G(v) for every v ∈ V (G). Let ri, rj be the number of cycles in G that include ai, aj ∈ A(G) respectively, and ri ≥ rj. Local quality index of G is defined as the largest ratio ri rj for opposite arcs ai, aj . Global quality index of G is defined as the largest ratio ri rj for distinct arcs ai, aj . In this...

Let F be a non-Archimedean local field of characteristic 0 and G be an inner form of the general linear group G = GLn over F . We show that the rectifying character appearing in the essentially tame Jacquet-Langlands correspondence of Bushnell and Henniart for G and G can be factorized into a product of some special characters, called zeta-data in this paper, in the theory of endoscopy of Langl...

Informally speaking, the Furstenberg Correspondence [5, 6] shows that the “local behavior” of a dynamical system is controlled by the behavior of sufficiently large finite systems. By the local behavior of a dynamical system (X,B, μ,G), we mean the properties which can be stated using finitely many actions of G and the integral given by μ1. By a finite system, we just mean (S,P(S), c, G) where ...

The response of the one loop effective action for a gauge theory with local couplings g(x), θ(x) under a local Weyl rescaling of the background metric is calculated. Apart from terms which may be removed by local contributions to the effective action the result is compatible with Sl(2, R) symmetry acting on g, θ. Two loop effects are also discussed. PACS no:11.10Gh, 11.15-q, 11.30Pb

the quality of hg contaminated sediments in artisanal gold mining areas of tanzania have to date only been assessed through bulk chemical analysis. however, measurement of contaminant levels alone has a limited ability to predict adverse effects on living resources. in this study we investigated the possible effects of hg contaminated sediments from the river mabubi which drains the artisanal g...

Let R be a local Cohen-Macaulay ring, I an R-ideal and G the associated graded ring of I. We give an estimate for the depth of G when G fails to be Cohen-Macaulay. We assume that I has small reduction number, sufficiently good residual intersection properties, and satisfies local conditions on the depth of some powers. The main theorem unifies and generalizes several known results. We also give...