Sensitivity analysis of regenerative queuing models

Queuing models described as regenerative processes driven by several sequences are under investigation. Occurrence times in these sequences are supposed to be asynchronous, in general. Sensitivity coefficients that are derivatives of some stationary performance measures with respect to definite parameters as well as derivatives of higher orders are derived for such queuing models. These sensitivity coefficients can be evaluated by simulation.     

周期多尺度分析的特征及它的一个应用

在这篇文章里，我们研究了周期多尺度分析的性质，给出了尺度函数序列的一个特征．这个特征能够使我们从一个尺度函数序列得到另一个尺度函数序列．最后，我们给出了主要结果的一个应用．     

基于混沌加密的小波包盲水印算法

利用混沌系统的特点调制了两种不同的混沌序列,分别用于水印加密和子图像的抽取.对子图像进行小波包分解,通过修改小波包的系数来嵌入数字水印.水印的提取不需要原始图像,实现了盲提取.实验结果表明,该算法对于常见的JPEG压缩、高斯噪声,裁剪和缩放等攻击具有较好的鲁棒性.     

m-可乘序列谱测度的关联维数

作者利用关联函数的递减速度与Fourier谱特征之间的关系,计算出无穷m -可乘序列谱测度的关联维数. 且通过对m -可乘序列关联函数的研究,验证了其谱测度是奇异连续的结论.     

Banach空间中非Lipschitz的渐近伪压缩映象不动点的迭代逼近问题

本文在去掉条件“‖Tnxn-xn‖→0(n→∞)”的情况下,在任意实的Banach空间中研究了用具误差的修正的Ishikawa与Mann迭代程序来逼近非Lipschitz的渐近伪压缩映象不动点的强收敛性问题;所得结果不但改进和推广了张石生教授与曾六川教授的结果,而且也从根本上改进了定理的证明方法．     

Almost periodic random sequences in probability

In this paper almost periodic random sequence in probability is defined and investigated. It is also applied to random difference equations by means of exponential dichotomy. The existence of such kind of solutions of random difference equations is discussed.     

斐波那契序列与准晶态

本文从兔子繁殖的数学问题谈起,引入Fibonacci数列.研究了晶体的准周期结构,表明它与Fibonacci数列有密切的关系.     

LARGE DEVIATIONS AND MODERATE DEVIATIONS FOR m-NEGATIVELY ASSOCIATED RANDOM VARIABLES

M-negatively associated random variables,which generalizes the classical one of negatively associated random variables and includes m-dependent sequences as its par- ticular case,are introduced and studied.Large deviation principles and moderate devi- ation upper bounds for stationary m-negatively associated random variables are proved. Kolmogorov-type and Marcinkiewicz-type strong laws of large numbers as well as the three series theorem for m-negatively associated random variables are also given.     

Endpoint theory for set-valued nonlinear asymptotic contractions with respect to generalized pseudodistances in uniform spaces

In uniform spaces, inspired by ideas of Banach, Tarafdar and Yuan, we introduce the concepts of generalized pseudodistances and generalized gauge maps, for set-valued dynamic systems we define various nonlinear asymptotic contractions and contractions with respect to these pseudodistances and gauges, provide conditions on the iterates of these set-valued dynamic systems and present a method which is useful for establishing conditions guaranteeing the existence and uniqueness of endpoints (stationary points) of these set-valued dynamic systems and conditions that each generalized sequence of iterations (in particular, each dynamic process) converges and the limit of a generalized sequence of iterations is an endpoint. The definitions, the results and the method are new for set-valued dynamic systems in uniform, locally convex and metric spaces and even for single-valued maps. The paper includes a number of various examples which show a fundamental difference between our results and those existing in the literature.     

数列的极限及其应用分析

根据数列的极限及级数的收敛的定义和准则,详尽地分析了两个具体的物理问题的极限存在性(即物理解的存在性),据此便捷地求解了这两个问题,体现了数列极限思想在物理问题中的重要性.