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.     

PRELIMINARY STUDY ON RETRO-REFLECTIVE COATED PAPER BASED ON MICROGLASS BEADS

INTRODUCTIONThe micro-glass bead[1-2] is a new kind of silicate material, with good properties of chemical stability, mechanical strength as well as electro-resistance. When its diameter is below 0.08mm and the reflective index is in the range of 1.9~2.1, retro-reflective characteristics can be achieved. When a beam of ray from any direction irradiates the surface of the micro-glass beads, it can be converged at the special reflective layer consisted of focuses of micro-glass beads, owing …     

美国五次并购浪潮及其历史背景

美国历史上曾发生过五次大的并购浪潮，对这段历史进行研究，对于进一步加强对我国并购活动管理工作具有重要的指导意义。     

探索学生学习效能的提高--兼数学教学活动

学生学习效能差异很大，这和内外因的各种因素有关，文章着重激发学生学习中的内驱力和教师教学方法等外驱力的作用展开探讨．     

马房沟提水工程首部引水枢纽优化设计

为使工程布置和建筑物设计更趋经济实用、安全合理，文章从引水工程布局、运行调度、工程投资、管理维护等方面对马房沟提水工程首部引水枢纽的设计方案进行了优化比选。     

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     

磁放大器原理及执行器故障分析

论述了磁放大器的工作原理和特点 ,介绍了磁放大器在执行器中的应用 ,对执行器的两种常见故障作了分析     

大学非英语专业高年级开设专业英语课程的探讨

中国的外语教学应在大学非英语专业高年级阶段开设专业英语课程,理由如下:1、符合语言教学的目标;2、符合“以内容为中心”的语言教学理论;3、符合外语学习中的“习得”理论;4、等同于汉语和英语专业的课程设置。本文同时指出了这一做法的可行性和困难,并提出了解决这些困难的粗浅办法。     

新型分子烙印手性功能单体的合成

本文采用β-环糊精与甲基丙烯酸缩水甘油合成一种新型具有手性分离能力的功能单体。详细讨论了反应温度，反应时问，反应溶剂对合成的影响。目标产物β-环糊精衍生物通过红外吸收光谱分析得到确定。     

实现汽车发动机可变气门相位的新方法

介绍一种用于双顶置凸轮轴式发动机的采用两级谐波传动的新型进气凸轮轴调相机构。它由输入刚轮（正时带轮）、柔轮、输出刚轮（与进气凸轮轴联接）、固定波发生器、动波发生器和步进电机等组成。用步进电机驱动动波发生器可改变输出、输入刚轮的相对位置，从而改变进气相位。该机构能在很大角度范围内，以小步长实现多级调相，轴向尺寸小，转动惯量小，控制驱动功率小。２００ｈ试验表明，该机构工作可靠，能够准确地根据控制信号进行凸轮轴的调相。