A NOTE ON ASSOCIATED GRADED RINGS OF IDEALS HAVING HIGHER ANALYTIC DEVIATION

In this note,we will generalize some results about the Cohen -Macaulaymess and Gorensteinness of Rees rings and associated graded rings of ideals having higher analytic deviation.     

朔望时地球所受引潮力的差别对地震活动的影响

对我国大量的地震史料进行统计分析,发现朔时与望时震次间的关系满足线性回归方程,即y=2.1x+7.39,前者是后者的2.1倍,讨论了地球在朔、望时所受引潮力的差别对地震活动的影响。     

分散控制系统稳定化的新方法

本文从实际考虑提出了一种使分散控制系统稳定的新方法。这是一种最优的稳定方法。它不仅使反馈控制器的结构具有站间的通讯费用最低的特点，而且也使控制结构有最少的通道数。数值计算的例子表明了本文所提方法的正确性和可操作性。     

一种用于自动标引系统的主题词自动切分方法

该文着重介绍一种知识指导下的主题词自动切分方法，该方法能灵活处理自然主题词、大幅度跳跃及关联词的切分问题，其字面切分精度达９９．３３％，综合切分精度达９８．９１％。     

北京市水资源承载力的现状及驱动力分析

本文阐述了水资源承载力的概念、特性及影响因素，根据北京市各县区的统计资料，分析了北京市自上个世纪80年代以来水资源承载力变化的总体趋势和驱动因子．结果表明：人口和GDP是影响北京市水资源承载力变化的主要驱动因素．2001年北京市人口总量已达1367．78万人，为水资源最大承载人口的5．81倍．再加上工农业的发展，已经大大超过了北京市水资源的承载力，使得北京成为世界上严重缺水的大城市之一．根据人口的GDP增长率，通过多元线性回归模型，预测出了2010年和2015年北京市水资源的供需状况．并提出要实现水资源的供需平衡，应当实行开源节流并重的政策．     

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.     

含第三对称平均值比的一个不等式及其应用

借助于数学归纳法建立了含第三对称平均值比的一个不等式 ,并将此结果用于正定矩阵 ,获得了一个有趣的结果 .     

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     

免用第三变量的两变量值交换

针对采用第三变量两变量值的交换占用多余内存的不足，提出算术运算法、布尔型变量的交换法、异或运算法和异或运算取反法等4个免用第三个临时变量的两变量值交换方法，并分析这些方法的优缺点。关键词：变量交换第三变量异或运算     

甘薯珠心细胞衰退过程的超微结构研究

阐述了甘薯珠心细胞衰退过程中的超微结构变化。发育成熟的珠心细胞，随着胚囊的发育和扩展以不同的方式衰退。在细胞质原位自溶方式，细胞质中的核糖核蛋白体密度迅速下降；细胞中可见许多被溶解的细胞组分的碎片；细胞核的染色质团块逐渐减少，核膜消失。最后在细胞中仅剩下细胞核和淀粉粒残体。在内质网对细胞质的吞噬和分隔方式中，同心环状和平行叠置的粗糙内质网大量增生，同时槽库膨大，并对细胞质组分进行分隔和吞噬；内质网膜膨大、断裂、分解，核糖体仍然存在，原生质体对电子染料的亲和性增强；接着质膜、液泡膜消失，原生质变为电子致密的物质。