Fuzzy向量测度及其积分

本文首先在欧氏空间Ｒ￣ｍ中引进序“≤”关系,定义了取值于Ｒ中的Ｆｕｚｚｙ向量测度。在第三部分讨论了取值于Ｒ中的可测向量函数列的收敛,在第四部分定义了可测向量函数关于Ｆｕｕｚｙ向量测度的积分并讨论了这种积分的收敛性。     

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.

     

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.     

获取路面谱的一种新方法

通过理论分析和实际路面的测量,阐述了直接在汽车车桥上安装传感器测量路面谱的一种简便方法,并通过与用五轮仪测量路面谱方法的结果对比,得出了此种方法在一般汽车性能试验中的实际应用价值．     

多维OU型Markov过程的弱对偶半群及其无穷小算子

研究多维ＯＵ型Ｍａｒｋｏｖ过程的不变测度、参考测度、弱对偶半群及其无穷小算子．说明了ＯＵ型Ｍａｒｋｏｖ过程不变概率测度和弱对偶半群的存在唯一性,Ｌéｖｙ过程Ａｔ的不变测度不一定是由它产生的ＯＵ型Ｍａｒｋｏｖ过程的不变测度,以及Ｌｅｂｅｓｇｕｅ测度ｍ和极限分布ξ在ｓｕｐｐξ＝Ｒｄ的条件下都是ＯＵ型Ｍａｒｋｏｖ过程的参考测度．     

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.     

基于生态足迹模型的贵州可持续发展能力定量评价

定量测度可持续发展能力是目前可持续发展研究的重要课题和前沿领域．其核心是确定人类是否生存于生态系统的承载力范围内．本文介绍了Wackemagel M等1996年以来提出和发展的可持续发展的定量测度方法——生态足迹法，并运用此方法计算和分析了贵州省2001年的生态足迹．其生态足迹由三个部分组成：1)生物资源；2)能源消费；3)贸易调整．按照这种方法计算，贵州省2001年人均生态足迹为1．49525hm^2，人均生态足迹赤字为1．153433hm^2．反映出目前贵州的生产、生活强度已经超过了生态系统的承载能力，区域生态系统处于人类的过度开发利用和压力之下．在此基础上作者提出了提高贵州省可持续发展能力的途径，最后还讨论了方法本身存在的一些缺陷．     

信用证诈骗分析及其防范对策

随着世界经济一体化和高科技的发展,信用证已成为国际贸易中重要的信用支付工具,然而信用证诈骗案件也随之不断增加.本文通过对信用证诈骗方式及原因进行分析,并提出了相应的防止利用信用证进行金融诈骗的对策.