建筑卷扬机卷筒端侧板强度的理论分析与试验研究

本文依据理论分析、光弹性试验、电测试验并经数学拟合,建立了卷扬机卷筒端侧板强度计算公式.     

千兆以太网在高速公路综合业务数字网的应用

文章通过介绍、分析现有高速公路通信综合业务数字网以及基于SDH的千兆以太网的网络结构及特点，提出基于SDH的千兆以太网在高速公路通信系统中的应用。     

高等学校实验室及实验教学改革模式探讨

本文分析了目前高校实验室建设中存在的主要问题,对高校实验教学和实验室管理模式的改革方式进行了探讨.     

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.     

弘扬国学精粹 提高人文素质--高校非中文专业开设"中国古典文学鉴赏"课的必要性与可行性

从高校非中文专业学生知识结构的现状出发，阐述加强人文素质教育的重要性；“中国古典文学鉴赏”课的课程特点及其在人文素质教育中所起的作用决定了在高校非中文专业学生中开设这门课程的必要性和可行性。     

浅谈工程造价在工程管理中的作用及编制方法

工程造价有两种含义，一是工程投资费用，另一种是工程价格。文章重点描述了工程造价的施工预算的编制方法。     

求代数方程组数值解的智能新方法

本文针对解代数方程组计算复杂和非线性方程组的解难以得到问题，提出了一种适合于不同类型方程组的通用算法．模拟生物进化过程，利用仅以变异作为唯一基因操作的EP方法来求方程组的最优解或次最优解．首先建立智能化的通用方程组，再利用改进的EP方法(在自适应方法中引入小生境思想)来求解方程组．算法既简单又具有通用性，最后举例说明本方法的有效性．     

论GIS模糊不确定性以及处理方法探讨

论述了GIS模糊不确定性的认识，介绍了不确定性的相关概念，阐述了GIS的模糊不确定性，及其处理方法。     

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。     

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