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.     

M-泛函的经验似然置信区间

利用经验似然思想，分别讨论不含附加信息和含附加信息时，M-泛函的经验似然置信区间，并推广Zhang Biao (1997) 在独立同分布下的结果。     

古代象数观和现代数字化技术思想

当今的数字化技术可从周易象数观的"象与数"相互转换中,发现其思想源头.正如西方的"原子论"可溯及古希腊哲学家所提出的"原子"概念和17世纪德国数学家莱布尼兹发现周易的"二进制"功能一样.<系辞>说象,拟诸形容而有象与极数而定象,说明了模拟和数字的两种过程.河图、洛书的图像,隐含着诸多神秘的数字关系,是世界上图像和数字之间完美结合的典范.邵雍给六十四卦赋以数字有两套系统:一是卦象的序数(含"加一倍"法);二是卦象的所当之数.周易的"数字化"思想,的确是开了先河.周易象数观的确有再研究的必要.     

以4,4''''-二(咪唑基亚甲基)联苯为客体的环糊精类轮烷的合成与表征

以4,4'-二(咪唑基亚甲基)联苯(bibp)为客体,通过自组装合成了4,4'-二(咪唑基亚甲基)联苯和环糊精的[3]类轮烷,并通过元素分析,1HNMR,ESI-MS,IR,TG-DSC进行了表征和固体热稳定性等研究,结果表明:由于bibp客体分子链较长,含有两个苯环,所以可穿入两个β-环糊精分子,形成[3]类轮烷.     

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     

中国入世对政府的影响及政府应对问题

中国成功入世后，各行各业和各市场主体都面临新的机遇和挑战，以及自我适应和应对的问题。相对而言，政府受到的影响是首要的、最为全面而深远的，政府率先入世既十分必要又相当紧迫。政府要实现真正意义上的入世，关键是要转变公务员队伍观念，提高公务员队伍的整体综合素质，转变政府职能，转变行政方式，实现依法行政。     

谈在药品监督执法中要体现服务

文章阐述了在药品监督执法的同时，如何体现服务。     

水－仲丁醇－碳4三元体系8MPa时的液液平衡

在国内首次建立的一套温度高达３５０℃，压力直至２０ＭＰａ的高压液液相平衡测定装置上，测定了水－仲丁醇－碳４三元体系在８ＭＰａ和４０３．１５，４２３．１５，４４３．１５Ｋ时液液相平衡数据。采用修改的Ｒ－Ｋ方程对此数据进行了理论关联。关联结果与实验数据一致。     

高氯废水中COD的测定

沿海城市以海水为工业用水,其废水经处理后,用标准方法测定COD 时,产生了几十倍甚至于上百倍的正误差,当改用研究的“高氯废水COD 测定方法”测定时,有效地消除了 Cl~-离子对 COD 测定的影响,测定结果的准确度及精密度均符合我国“环境监测技术规范”的规定。     

植物药超氧物歧化酶活性与某些性质的研究

应用NBT光还原法对23种植物药材SOD粗提液活性研究表明。供试材料全部达到200units·g~(-1)F·W的水平,13种超过300units·g~(-1)F·W,野山楂高达812.5units。酶的比活,玄参、何首乌位列前茅,超过300units·mg~(-1)protein~-,野山楂、枸杞等都在150units·mg~(-1)protein~(-1)以上。综合分析,何首乌、野山楂、玄参与枸杞等酶活性与比活都高,有开发利用的价值。植物药普遍具有Mn-SOD与Cu·Zn-SOD,本研究首先发现枸杞、宁夏枸杞、沙参和合子草具有Fe-SOD。酶粗提液的热稳定性明显优于纯化酶。