Exponential distributions on semigroups

Three fundamental characterizations of the standard exponential distribution on [0, ) are the remaining life, memoryless and constant failure properties. Analogs of these properties are studied for distributions on a class of semigroups in which the semigroup operation replaces addition, a compatible partial order replaces the ordinary order, and a left-invariant measure replaces Lebesgue measure. Partial characterizations of exponential distributions on such semigroups are obtained and the semigroup formulation provides new characterizations of certain aging properties studied in reliability-increasing failure rate, new better than used, and increasing failure rate average.     

Rate conservation laws: A survey

We survey the rate conservation law, RCL for short, arising in queues and related stochastic models. RCL was recognized as one of the fundamental principles to get relationships between time and embedded averages such as the extended Little's formulaH=G, but we show that it has other applications. For example, RCL is one of the important techniques for deriving equilibrium equations for stochastic processes. It is shown that the various techniques, including Mecke's formula for a stationary random measure, can be formulated as RCL. For this purpose, we start with a new definition of the rate with respect to a random measure, and generalize RCL by using it. We further introduce the notion of quasi-expectation, which is a certain extension of the ordinary expectation, and derive RCL applicable to the sample average results. It means that the sample average formulas such asH=G can be obtained as the stationary RCL in the quasi-expectation framework. We also survey several extensions of RCL and discuss examples. Throughout the paper, we would like to emphasize how results can be easily obtained by using a simple principle, RCL.     

Spectrum of positive entropy multidimensional dynamical systems with a mixed time

It is shown that if an abelian countable group is such that is a finite group and every aperiodic positive entropy action of on a Lebesgue probability space has a countable Haar spectrum in the subspace , where denotes the Pinsker -
algebra of , then every aperiodic positive entropy action of on has the same property. A positive answer to the question of J.P. Thouvenot is obtained as a corollary.

     

HYPERFINITE TRANSVERSAL THEORY. II

We continue the investigation of validity of Hall's theorem in the case of the Loeb space of an internal, uniformly distributed, hyperfinite measure space initiated in1992 by the author. Some new classes of graphs are introduced for which the measure theoretic version of Hall's theorem still holds.

     

Carleson measure characterization of Bloch functions

We give several equivalences of Bloch functions and little Bloch functions. Using these results we obtain the generalized Carleson measure characterization of Bloch functions and the generalized vanishing Carleson measure characterization of little Bloch functions, that is,f B if and only if |D f(z)| ^p (1-|z|²)^p-1 dm(z) is a generalized Carleson measure;f B ₀ if and only if |D f(z)| ^p (1-|z|²)^p-1 dm(z) is a generalized vanishing Carleson measure, whereD f( > 0) is the fractional derivative of analytic functionf of order, m denotes the normalised Lebesgue measure.Supported partly by the Young Teacher Natural Science Foundation of Shandong Province.     

硅藻土增强橡胶复合材料的研究进展

硅藻土是单细胞硅藻的遗骸经自然条件形成的硅质沉积岩,因其具有质轻、大的比表面积、超强的吸附性、隔音、耐磨、耐热以及耐腐蚀等特点而被广泛应用于化工、石油、建材、生物医药卫生以及环保等众多领域。然而由于硅藻土与白炭黑的结构成分相似,白炭黑通常用作橡胶的补强填料,目前硅藻土用于橡胶补强填料的研究鲜少报道。本文综述了硅藻土的性能、硅藻土的国内外研究现状、硅藻土的改性以及硅藻土增强橡胶复合材料的制备过程,并对硅藻土增强橡胶复合材料的发展趋势做了展望。     

Repleteness and regular lattice measures

Let X be an abstract set and L a lattice of subsets of X. To each lattice regular measure µ, we associate two induced measures and on suitable lattices of the Wallman space IR(L) and another measure µ on the spaceIR(L). We will investigate the reflection of smoothness properties of p onto , and µ; and try to set some new criterion for repleteness and measure repleteness.     

Protective effects of vitamin E against CCl<Subscript>4</Subscript>-induced hepatotoxicity in rabbits

The influence of CCl₄ on the activity of superoxide dismutase (SOD), glutathione peroxidase (GPx), glutathione reductase (GR), the value of the total antioxidant status (TAS), and the concentration of malonic dialdehyde (MDA) and glutathione (GSH) was monitored in plasma or whole blood of rabbits. The administration of CCl₄ caused the increase of the SOD activity to approximately 150 % and the decrease in the activity of GPx and GR by about 50 %. These changes were accompanied with the increase in TAS value and MDA concentration and the decrease of GSH concentration. The effect of CCl₄ was suppressed by the previous 7 days lasting or simultaneous administration of vitamin E. Oxidative stress caused by CCl₄ was accompanied by the development of reactive oxygen forms, especially superoxide radical anion.     

浅析计算机网络安全

计算机网络具有联结形式多样性、终端分布不均匀性和网络的开放性、互连性等特征,致使网络易受攻击,所以网上信息的安全和保密是一个重要问题。无论在局域网或广域网中,都存在自然和人为等因素的脆弱性和潜在威胁。计算机网络的安全措施应是能全方位地针对各种不同的威胁和脆弱性,这样才能确保网络信息的保密性、完整性和可用性。文中介绍了计算机网络面临的威胁,以及计算机网络安全的策略和措施,包括物理安全、访问控制、数据加密和网络安全管理等方面。     

Finitely maxitive T-conditional possibility theory: Coherence and extension

Starting from the axiomatic definition of finitely maxitive T-conditional possibility (where T is a continuous triangular norm), the paper aims at a comprehensive and self-contained treatment of coherence and extension of a possibilistic assessment defined on an arbitrary set of conditional events. Coherence (or consistence with a T-conditional possibility) is characterized either in terms of existence of a linearly ordered class of finitely maxitive possibility measures (T-nested class) agreeing with the assessment, or in terms of solvability of a finite sequence of nonlinear systems for every finite subfamily of conditional events. Coherence reveals to be a necessary and sufficient condition for the extendibility of an assessment to any superset of conditional events and, in the case of T equal to the minimum or a strict t-norm, the set of coherent values for the possibility of a new conditional event can be computed solving two optimization problems over a finite sequence of nonlinear systems for every finite subfamily of conditional events.