The Manifold-Valued Dirichlet Problem for Symmetric Diffusions

Harmonic maps between two Riemannian manifolds M and N are often constructed as energy minimizing maps. This construction is extended for the Dirichlet problem to the case where the Riemannian energy functional on M is replaced by a more general Dirichlet form. We obtain weakly harmonic maps and prove that these maps send the diffusion to N-valued martingales. The basic tools are the reflected Dirichlet space and the stochastic calculus for Dirichlet processes.     

An analysis of Taguchi's on‐line quality monitoring procedure for attributes with diagnosis errors

The on‐line quality monitoring procedure for attributes proposed by Taguchi, Elsayed and Hsiang for processes in which the fraction defective shifts from 0 at some point are examined under the assumption of diagnosis errors. The renewal reward (economic) approach of Nayebpour and Woodall is used to develop a mathematical expression for the long‐run expected cost per item produced and assessment of the optimum inspection interval is discussed. Copyright © 2001 John Wiley & Sons, Ltd.     

透明管径及管厚的CCD成像在线测量方法

应用光线透过透明管径的折射规律,提出线阵CCD成像在线测量透明管状外径及壁厚的新方法。该方法用计算机进行模拟导出了数理模型。实验证明了这一方法的可行性,为透明管状产品的批量生产、高速、动态、非接触实时在线测量提供了一条新的技术途径。     

基金与基金组合投资

本根据组合证券投资理论了基金的投资原理,建立了基金管理决策模型与基金组合投资决策模型,并进行了静态分析和动态分析。     

Sequential Convergences on Boolean Algebras Defined by Systems of Maximal Filters

We study sequential convergences defined on a Boolean algebra by systems of maximal filters. We describe the order properties of the system of all such convergences. We introduce the category of 2-generated convergence Boolean algebras and generalize the construction of Novak sequential envelope to such algebras.     

Reduction of Time-Dependent Systems Admitting a Superposition Principle

The problem of differential equation systems admitting a nonlinear superposition principle is analyzed from a geometric perspective. We show how it is possible to reduce the problem of finding the general solution of such a differential equation system defined by a Lie group G to a pair of simpler problems, one in a subgroup H and the other on a homogeneous space. The theory is illustrated with several examples and applications.     

Geometric Integration of Ordinary Differential Equations on Manifolds

This article illustrates how classical integration methods for differential equations on manifolds can be modified in order to preserve certain geometric properties of the exact flow. Projection methods as well as integrators based on local coordinates are considered. The central ideas of this article have been presented at the 40th anniversary meeting of the journal BIT.This revised version was published online in October 2005 with corrections to the Cover Date.     

在线分析己烷中痕量四氢呋喃的气相色谱柱系统研究

 根据 30万t乙烯工程“橡胶”装置中生产工艺控制的实际需要 ,研究了在线分析己烷中痕量四氢呋喃的气相色谱柱系统。使用自制的 7μm特厚膜甲基硅氧烷大孔径弹性石英毛细管柱 ,通过试验不同条件下色谱柱的分离特性及研究组分在柱内的运动轨迹 ,给出了总的柱切换时间程序。在上述基础上 ,完成了正己烷、环己烷中 10 -6(体积分数 )级的四氢呋喃分析。现场应用一年多的实践表明 ,所研制的柱系统从分析时间、运行稳定性、定量准确性 (相对标准偏差小于 5 % )等方面均满足工艺控制的要求。     

镀镍液中镍的在线分析研究

基于硫酸镍溶液的光谱吸收特征,采用双波长双通道流动注射分光光度法测定镀镍液中镍的含量。借助计算机控制,实现了镀镍液中镍的在线分析,能满足生产工艺分析的要求。     

Aluminium ions at polyelectrolyte interfaces. I. Mechanism of polyacrylic acid/aluminium oxide and humic acid/kaolinite complex formation

Understanding adsorption phenomena involving humic acids and clays is a difficult challenge owing to their complex nature. Thus, to progress in the study of such systems, attempts were made to replace natural systems by polyacids and oxides of simpler chemical and morphological structure. Since the present investigation was dedicated to determine some characteristics of acidic soils which contain traces of aluminium ions, these ions were added to the adsorbent/polyacid systems as trace constituents. Phenomena related to the interactions of humic or polyacrylic acid with aluminium oxide and kaolinite clay have been investigated and the well-differentiated interfacial behaviour of the oxide and kaolinite was determined and discussed. The results of electrophoretic mobility measurements demonstrated the huge time-dependent effect of polymeric layers adsorbed on oxides and modified clays. Received: 24 July 2000 Accepted: 20 December 2000