溶剂化缔合物模型与溶解度

提出了一种适合于研究非理想溶液的溶剂化缔合物模型.借助该模型,对物质的溶解度在定量和半定量的水平上进行了研究,并获得了满意的结果。     

用栅板剪切干涉法确定应力强度因子

本文介绍了一种用栅板剪切干涉法确定应力强度因子的新方法,阐明了该方法的基本原理与实验技术,通过三点弯曲梁确定了Ⅰ型裂纹应力强度因子,实验结果与理论上近似计算结果相符合。     

三峡二期围堰工程几个问题的研究及实践

三峡工程二期围堰是三峡工程最重要的临时建筑物之一，大江截流水深大，流量大；防渗墙深度大，工程量大，工期紧，且还要穿过各种复杂地层，通过试验，研究，采取有效地对策确保大江安全，顺利截流，基坑按三峡总工期目标要求抽干，检查渗漏量仅为设计估计量的1／10。     

光学系统自动设计中应用动态规划的个算法

本文用动态规划方法求解具有等式和不等式约束的光学系统的最优化问题,以Kuhn-Tucker条件为基础,利用牛顿迭代法提出最优决策的一个算法,并证明其局部收敛性。     

Millikan′s油滴实验数据处理透析

本文从误差传递的角度出发，代入合理的数据，来说明目前高校实验中对此内容的数据处理的问题所在以及应怎样采取措施解决。     

钻柱系统振动测试和分析

利用应变和压电测试系统以及随机信号和振动分析系统,在模型和试验钻机上,进行了钻柱系统的固有频率、响应、钻头的动态压力、功率谱和动态传递函数等测试分析。在横向振动支承条件,岩石的刚度以及动态碎岩机理等方面得到了一些有益的研究结果,并提出了岩石刚度动态测定法。以上研究为理论分析提供了依据。     

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.     

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     

LOGISTICS SCHEDULING： ANALYSIS OFTWO-STAGE PROBLEMS

This paper studies the coordination effects between stages for scheduling problems where decision-making is a two-stage process. Two stages are considered as one system. The system can be a supply chain that links two stages, one stage representing a manufacturer; and the other, a distributor It also can represent a single manufacturer, while each stage represents a different department responsible for a part of operations. A problem that jointly considers both stages in order to achieve ideal overall system performance is defined as a system problem. In practice, at times, it might not be feasible for the two stages to make coordinated decisions due to (i) the lack of channels that allow decision makers at the two stages to cooperate, and/or (ii) the optimal solution to the system problem is too difficult (or costly) to achieve.Two practical approaches are applied to solve a variant of two-stage logistic scheduling problems. The Forward Approach is defined as a solution procedure by which the first sta     

Application of the Constrained Predicated Nets and Interval Logic to Production Systems

1 .INTRODUCTIONDuetotheireconomicsignificanceandclosenesstopersons,productionsystemsmustbemodeledbeforetheirimplementationanduse,thus,amethodwhichspecifies ,analyzesandsynthesizestheproductionsys tems—discreteeventsystems (DES)hasbeenestab lishedanddevelopedstepbystepinrecentyears.DESmethodspecifiestheplantbasedonitsdiscretecharacters,however,intherealworld ,therearefewplantsthatcanbemodeledbypurelydiscretemathe maticalmodelbecausetherearealwayssomecontinu ousparametersforstudyinnearlya…