关于概率测度收敛的注记(英文)

本文给出并证明了概率测度收敛中不为人俗知的一个结果 .     

水库闸坝自动化监控系统浅析

水库闸坝自动化监控系统对于提高闸坝的运行管理水平和组建流域水文调度系统具有重要作用。该系统具有远程控制与调节能力、大坝安全检测系统及自动监控系统，为水库的安全运行提供有力的保障。     

砂质泥岩工程地质特性及其灾害防治对策

文章阐述了砂质泥岩的工程地质特性及其风化规律，在不同状态下形成的灾害，提出了防治对策。     

证券投资基金持股的风险特征实证研究

使用股票的平均收益、CAPM风险测度(β值)和传统风险测度(标准差、偏度和峰度)对我国证券投资基金在2000～2002年期间的投资决策进行了实证分析．结果表明，在这3年中，基金的持股比重与股票的卢值具有不显著的相关性，而与股票的标准差、偏度和峰度之间的相关性则比较显著，这表明了基于个股属性的传统风险测度对基金经理的投资决策起着重要作用，而CAPM理论是否得到基金经理的广泛运用还有待于进一步论证．     

Inexact Newton methods for the nonlinear complementarity problem

An exact Newton method for solving a nonlinear complementarity problem consists of solving a sequence of linear complementarity subproblems. For problems of large size, solving the subproblems exactly can be very expensive. In this paper we study inexact Newton methods for solving the nonlinear, complementarity problem. In such an inexact method, the subproblems are solved only up to a certain degree of accuracy. The necessary accuracies that are needed to preserve the nice features of the exact Newton method are established and analyzed. We also discuss some extensions as well as an application. This research was based on work supported by the National Science Foundation under grant ECS-8407240.     

Equivariant mappings: a new approach in stochastic simulations

Stochastic simulations on manifolds usually are traced back to ⁿ via charts. If a group G is acting on a manifold M and if the respective distribution v is invariant under this group action then in many cases of practical interest there exists a more convenient approach which uses equivariant mappings. The concept of equivariant mappings will be discussed intensively at the instance of the Grassman manifold in which case G equals the orthogonal group. Further advantages of this concept will be demonstrated by applying it to a probabilistic problem from the field of combinatorial geometry.     

实空间上的闭子集与相似包含关系

Paul Frdos曾提出如下关于实直线R的问题：是否对R的每一个无限子集X，都存在一个具有正测度（Lebesgue测度）的闭子集E，使得E的任何子集都不相似于X（E的任何子集都不与X线性同胚）。1984年，Falconer证明了如下结论：对于一个满足limxn=0和linxn 1/xn＝1的单调递减的正实数列{xn}，Erdos问题有一个部分肯定的解答。本文将证明：上述关于数列的条件可以替换为更一般的（弱一些的）条件。最后把本文的相应结论推广到有限维欧氏空间R^n中。     

一种实用的角度-数字传感方法

介绍了一种实用的角度测量方法 .本方法具有制造方便、成本低的特点 ,在测角精度要求不高的情况下 ,具有较大的实用价值     

绝对连续测度的Loeb代数

It is proved that if μ and v be finite measures on a measurable space (X,S) and v is absolutely continuous with respect to v, then it is holds that L(^*S,^*v) C L(^*S,^*v), while L(^*S,^*v) and L(^*S,^*v) are the Loeb algebras with respect to measure spaces (X,S,μ) and(X,S,μ).     

R￣d中Hausdorff维数和packing维数的确定

本文目的在于建立确定Ｒ￣ｄ中Ｈａｕｓｄｏｒｆｆ维数ｄｉｍ和ｐａｃｋｉｎｇ维数Ｄｉｍ的两个命题（定理１和定理２），进而寻求Ｒ￣ｄ中Ｈａｕｓｄｏｒｆｆ维数ｄｉｍ与ｐａｃｋｉｎｇ维数Ｄｉｍ相等的条件；这使得我们能够引入分形测度的测度论定义。