Ruin Probability with Variable Premium Rate and Disturbed by Diffusion in a Markovian Environment

We consider a risk model with a premium rate which varies with the level of free reserves. In this model, the occurrence of claims is described by a Cox process with Markov intensity process, and the influence of stochastic factors is considered by adding a diffusion process. The integro-differential equation for the ruin probability is derived by a infinitesimal method.     

SolidWorks 2001 Plus三维CAD软件在锅炉设计中的应用

对手工制图、二维CAD制图和三维CAD制图3种方式进行了比较，指出三维CAD软件有取代二维CAD软件的趋势。成功应用SolidWorks 2001Plus三维CAD软件进行锅炉设计，可极大提高企业的产品开发效率。     

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。     

Newton's Easy Quadratures ``Omitted for the Sake of Brevity'

In the 1687 Principia, Newton gave a solution to the direct problem (given the orbit and center of force, find the central force) for a conic-section with a focal center of force (answer: a reciprocal square force) and for a spiral orbit with a polar center of force (answer: a reciprocal cube force). He did not, however, give solutions for the two corresponding inverse problems (given the force and center of force, find the orbit). He gave a cryptic solution to the inverse problem of a reciprocal cube force, but offered no solution for the reciprocal square force. Some take this omission as an indication that Newton could not solve the reciprocal square, for, they ask, why else would he not select this important problem? Others claim that ``it is child's play' for him, as evidenced by his 1671 catalogue of quadratures (tables of integrals). The answer to that question is obscured for all who attempt to work through Newton's published solution of the reciprocal cube force because it is done in the synthetic geometric style of the 1687 Principia rather than in the analytic algebraic style that Newton employed until 1671. In response to a request from David Gregory in 1694, however, Newton produced an analytic version of the body of the proof, but one which still had a geometric conclusion. Newton's charge is to find both ``the orbit' and ``the time in orbit.' In the determination of the dependence of the time on orbital position, t(r), Newton evaluated an integral of the form ∫dx/x <sup>n</sup> to calculate a finite algebraic equation for the area swept out as a function of the radius, but he did not write out the analytic expression for time t = t(r), even though he knew that the time t is proportional to that area. In the determination of the orbit, θ (r), Newton obtained an integral of the form ∫dx/√(1−x<sup>2</sup>) for the area that is proportional to the angle θ, an integral he had shown in his 1669 On Analysis by Infinite Equations to be equal to the arcsin(x). Since the solution must therefore contain a transcendental function, he knew that a finite algebraic solution for θ=θ(r) did not exist for ``the orbit' as it had for ``the time in orbit.' In contrast to these two solutions for the inverse cube force, however, it is not possible in the inverse square solution to generate a finite algebraic expression for either ``the orbit' or ``the time in orbit.' In fact, in Lemma 28, Newton offers a demonstration that the area of an ellipse cannot be given by a finite equation. I claim that the limitation of Lemma 28 forces Newton to reject the inverse square force as an example and to choose instead the reciprocal cube force as his example in Proposition 41. (Received August 14, 2002) Published online March 26, 2003 Communicated by G. Smith     

物理教学应重视思维能力的培养

本文研究了科学思维方法在物理学发展中所起的重要作用以及如何在普物教学中培养学生的科学思维能力,结合教学实践的探索,提出了基础课必须加强思维能力培养的重要性。     

STABILITY CRITERIA FOR A CLASS OF UNCERTAINSYSTEMS WITH TIME—DELAY

Some stability criteria are obtained for a class of uncertain systems with time-delay usingLyapunov functional and analytic techniques. It is easy to check the criteria by making use of theboundedness of the uncertainties.     

论拓扑一般Boole格的同态的可逆性

本文评述了“拓扑空间概论”一书中的一点疏忽.讨论了拓扑序集同态可逆性定义及与其相关的一些基本定理.     

Technical Notes ：STUDIES ON THE VALUE OF SECONDARY MARKET TO THE SUPPLY CHAIN

This paper investigates the impact of a secondary market, where retailers can buy and sell excessinventories, on the supply chain. We develop a two-period model with a single manufacturer and tworetailers. At the beginning of the first period the retailers order and receive products from themanufacturer, but at the beginning of the second period, they can trade surplus products betweenthemselves in the secondary market. We investigate the impact of the correlated dependence ofretailers' demand on both the quantity effect and the allocation effect under the secondary market.Lastly,we study potential strategies for the manufacturer to increase sales with the existence of thesecondary market.     

基于模糊神经网络方法的新构造控水专家系统

在对大量野外地质资料统计和综合分析基础上，依据地质专家在新构造领域的理论知识和成功经验，运用模糊数学理论和神经网络理论相结合的方法，提出一种用线性单元并联实现非线性划分的神经元网络模型，并研制出相应具有较强推理能力和学习功能、广泛用于非定性系统数据处理的专家系统，该系统经实例验证具有较强的适用性。     

积木式教学黑白电视机的设计

为方便教学,将电视机按功能分成9个部分,每个部分的元件安装在一块独立的电路板上,并用金属匣子封装成为一个电路模块,各模块通过接插件组合起来,就是一台完整的电视机。可对单个模块进行实验与检修操作。