微连接用无铅钎料及稀土在钎料中的应用现状

综述了微连接用无铅钎料的应用研究现状，指出SnAgCu系合金因良好的综合性能将成为最有潜力的锡铅钎料替代品。基于对稀土在钎料中应用研究成果的分析，认为添加微量稀土有望成为改善SnAgCu系无铅钎料蠕变性能的重要途径。充分利用我国丰富的稀土资源开发低Ag的SnAgCuRE系钎料，应当成为中国今后无铅钎料研究开发的重点。     

流线型挤出模曲面构造

根据塑料挤出的特点，在编程实现对型材截面轮廓凸凹性自动判断的基础上，采用射线法与比例间隔法相结合的方法，确定流道入口圆周上型值点的位置．以三次多项式作为流道模腔型曲线的数学模型，依据流线型要求给出的初始、边界条件，得出型曲线的数学方程．构建了挤出模流道的三维参数化曲面模型．有限元分析结果显示，该方法创建的流线型流道模型，其流动稳定性和平顺性都优于直线型流道．     

生存的悖论:言语与沉默

通过对瑞典导演伯格曼的电影《假面》所进行的电影美学方面的文本分析,探讨存在于人类的言语与沉默之间的哲学与美学关系,并进而探讨电影作为一种语言的形式的本体论意义。     

婚姻制度是人类生存的绝对必要条件吗?

在精致细腻的民族志描写和严谨细密的理论分析基础上,重新定义了血缘关系、乱伦禁忌、婚姻与家庭四个基本概念,指出与此前人类学界一致相信的情况相反,婚姻的目的并不在于保证人类的繁衍,从而解开半个世纪前由列维一斯特劳斯提出的婚姻家庭悖论。进而揭示了支配人类社会生活的基本定律——社会血亲性排斥定律和欲望原理,并且提出仅仅由血亲构成的一元亲属制度和由血亲加姻亲组成的二元亲属结构才是真正的亲属关系的基本结构。     

弱可数紧集与Arrow-Barankin-Blackwell定理

陈光亚研究员在局部凸空间的框架下推广了A rrow-B arank in-B lackw e ll稠密性定理.将此定理条件中的“弱序列紧”减弱为“弱可数紧”,从而对A rrow-B arank in-B lackw e ll定理进行了推广.     

视频信息监控与处理--ATM视频监控系统下

针对银行ATM管理上的缺陷，提出了ATM视频监控系统，并就系统的功能及其信息处理与安全方面的特点作了论述。     

风速计调节喷泉喷水量问题的分析

针对大型喷泉系统喷水量调节问题，采用流体力学风洞模型试验得出的三维物体型阻理论、微气象学、建筑给水、排水工程喷泉设计导论，以及物理学基本运动学理论，得出了喷泉喷水量调节的基本理论依据以及解决方法，为大型喷泉调节系统设计工作提供了有力支持。     

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     

应用不定量凸模型的遗传算法解决结构设计的优化问题

针对不定静载荷和由不定搜索而产生的最不利情况 ,应用遗传算法来解决桁架的优化问题。说明了在考虑不定量的结构设计优化问题中 ,应用遗传算法实现的高效性。