结构稳定性在非线性系统鲁棒性分析中的应用

探讨了非线性系统的结构稳定性、分叉点和鲁棒性之间的关系，提出了一种分析非线性系统鲁棒稳定性的方法，并给出了相应的计算实例．     

整体优化 提高高校学报质量

本文从学报形成的全过程入手,分析了影响学报质量的诸因素,提出了人与科学技术相结合;编者与作者相结合;编者与读者需要相结合;办刊与高校教育相结合来提高学报质量的观点,使学报在信息传播的全过程中实现整体优化。     

无可信中心的(t,k)门限RSA数字签名体制

提出了一种新的不需要可信中心的门限数字签名方案.在k个成员组成的群组中,只有t个或t个以上成员才能够代表群组签名,而少于t个成员则不能代表群组签名.方案基于Boneh等学者的分布式RSA密钥产生协议和Shamir秘密共享方案而构建.签名过程分为四个阶段:系统初始化、生成个体签名、生成群签名以及签名验证.在系统的初始化阶段不需要可信中心的参与,并且个体签名的生成、群签名的生成和验证都可以方便地实现.通过对方案的安全性分析显示,个体签名和群签名都是不可伪造的,并且在整个签名过程中都没有系统秘密信息的泄漏.     

数学中的探索研究和发现

本书是一本关于数学“解题术”的论著，其目的是引导中学生和大学低年级学生通过解数学题提高思维能力和解题技巧，着重培养他们数学学习中的探索精神，以研究解题规律和发现新的问题和结果。     

Ontology-Based Semantic Annotation for Problem Set Archives in the Web

0 IntroductionAsneim mapnotircta nWte pbre i-sco tnhdieti oabnilfiotry r etaoli zainnngotthatee go aWle obf trhe-esources with semanticinformation[1]. However ,annotationtools so far basically allowthe user to annotate with plaintext using the method of information extraction.In manycases ,one can hardly extract semantics from Web docu-ments ,such as problemset archivesinthe Web.Massive problemset archives are availableinthe Web,for example,http://acm.uva.es, while each problemsetarchives pr…     

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.     

电子碰撞Ag的L壳层电离截面的测量

作者用Si(Li)探测器测量了能量为5～2keV的电子碰撞Ag的L壳总平均电离截面；用Monte Carlo方法计算的电子反射能谱，修正了来自衬底的反射电子对测量结果的影响．作者对实验结果与Cryzinski的理论计算结果进了比较．     

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     

也论中西精神--与张秀成先生商榷

本文认为，中学和西学各有优劣，应互相吸取，但在总体上是西学优于中学。首先，在思维方式上，西学的分析思维，使西方社会分工较细，促进了社会化大生产的产生；也使西学学科门类众多；西学在方法上崇尚专精深，对任何问题都穷追不舍，非要证明或证伪，促进了科学的进步。中学的综合思维则使中国社会分工不细，学科门类不多，在研究方法上则不究细节。其次在义利关系上，西方私有神圣，最后却私也有了公也有了；中国公有神圣，改革开放前却公也没有私也没有。再次，在男女关系上，西学以个体为本，正是为了自身的尊严不受侵犯，才不得侵犯他人的尊严，这就有了平等精神。相反，古代中国的根本大法是三纲五常，夫为妻纲、男尊女卑，被论述为符合阳主阴辅的天道法则，追求男女平等，就是违反天道，就会被天诛地灭，中国没有男女平等。     

杜仲氨基酸成份的研究

本文借助氨基酸自动分析仪对杜仲离体培养愈伤组织、树叶、树皮中氨基酸含量进行了系统研究，共检测出１６种氨基酸，其总含量为４１．４９～２０８．２２ｍｇ／ｇ，其中包括７种必需氨基酸。