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。     

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     

国内“自驾车旅游”的发展现状与问题分析

近年来，自驾车旅游作为一种旅游新产品，开始在国内的一些地方流行．为了更好地开发和推动这一新的专项旅游新产品，笔者对其内涵、现状、组织形式、线路设计、存在的问题、制约的瓶颈以及发展前景等方面进行了初步分析．     

STABILITY CRITERIA FOR A CLASS OF UNCERTAINSYSTEMS WITH TIME—DELAY

Some stability criteria are obtained for a class of uncertain systems with time-delay usingLyapunov functional and analytic techniques. It is easy to check the criteria by making use of theboundedness of the uncertainties.     

Technical Notes ：STUDIES ON THE VALUE OF SECONDARY MARKET TO THE SUPPLY CHAIN

This paper investigates the impact of a secondary market, where retailers can buy and sell excessinventories, on the supply chain. We develop a two-period model with a single manufacturer and tworetailers. At the beginning of the first period the retailers order and receive products from themanufacturer, but at the beginning of the second period, they can trade surplus products betweenthemselves in the secondary market. We investigate the impact of the correlated dependence ofretailers' demand on both the quantity effect and the allocation effect under the secondary market.Lastly,we study potential strategies for the manufacturer to increase sales with the existence of thesecondary market.     

环境与经济整体优化分析

企业生产应该将经济效益与环境效益相结合 ,政府充分利用排放税、费等经济手段来管理企业的环境行为 .在对环境影响分类的基础上 ,建立了环境与经济整体优化的双层规划模型 ,并用这一模型对政府如何确定环境补贴与税收政策以达到污染物排放最小进行了分析 .     

慢性萎缩性胃炎与正常胃活检组织RNA分布的研究

采用异硫氰酸荧光素（FITC）标记的核糖核酸酶（FITC－RNase）作为探针，结合半薄切片技术，观察了慢性萎缩性胃炎与正常胃活检组织中RNA的分布变化，结果表明：慢性萎缩性胃啖腺体细胞内RNA明显减少，分布部位与正常胃腺体细胞差异较大，这些结果于慢性萎缩性胃炎的病理诊断提供了一些依据，对进一步从分子水平上研究慢性萎缩性胃炎的病理变化及其与胃癌的关系具有一定的意义。     

对先进生产力与先进文化之间关系的结构性解读

为了实现“中华民族的伟大复兴” ,需要理论指导 ,对“什么是先进生产力和什么是先进文化”二者之间的关系及结构进行的解读 ,其目的在于指出要达到的二者动态平衡将是一个艰巨、长期和复杂的过程。