关于计量经济学学习的几点思考

计量经济学是一门独特的学科,它的学科基础十分广泛,学习的方法与思维有别于其他的学科,并且实际的操作性很强,从宏观的角度把握了它的一些特点,有利于从总体上理解并学好计量经济学。     

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.     

PRELIMINARY STUDY ON RETRO-REFLECTIVE COATED PAPER BASED ON MICROGLASS BEADS

INTRODUCTIONThe micro-glass bead[1-2] is a new kind of silicate material, with good properties of chemical stability, mechanical strength as well as electro-resistance. When its diameter is below 0.08mm and the reflective index is in the range of 1.9~2.1, retro-reflective characteristics can be achieved. When a beam of ray from any direction irradiates the surface of the micro-glass beads, it can be converged at the special reflective layer consisted of focuses of micro-glass beads, owing …     

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     

水下沉桩施工新技术

肇庆换流站供水工程之一的五尺峡取水泵站施工中，在受施工条件限制的情况下，采用将钢筋混凝土预制桩改为开口钢管桩，将双排桩改为单排桩，尝试搭设水上竹平台作沉桩施工平台等措施均取得成功，保证了质量、安全、进度，降低了施工成本．     

食物安全的内涵及其与相关概念的比较

食物是人类赖以生存和发展的基本物质基础,食物安全状况不仅关系到人民的身体健康,更影响到国家的安全和民族的整体素质.因此,食物安全成为政府重视、社会关注和人民群众极大关心的焦点,也必然地成为科学研究的重点课题.     

乙酸乙酯分离竹子中木质素制浆造纸研究

用乙酸乙酯浸提竹子制取纸浆，并用造纸行业相关国家标准对纸浆进行了分析。探讨了乙酸乙酯浓度、反应温度、反应时间、原料与溶剂的固液比对纸浆质量的影响。实验结果表明：当乙酸乙酯浓度为60％、反应温度为180℃、反应时间2h、原料-溶剂比为1：6时，制得的纸浆中残余木素含量相对较低、纸浆得率较高。     

A ROBUST DECOMPOSITION OF LINEAR PROGRAMMING USING A GOAL-PARTITIONING METHOD

The Dantzig/Wolfe linear programming decomposition algorithm has had important economicinterpretations as well as a widespread impact on solving large scale linear programming problem.Inthis paper we consider a similar underlying structure,where however there is only one couplinginequality or equation.With this simplification,we demonstrate how to achieve an equitable partitionof the overall coupling resource to individual subproblem constraints through a simple iterationprocedure which appears to be very efficient.     

算子子空间的D_σ~(n)(r)性质的一个充分条件

给出了一个确定算子子空间具有性质D_σ~(n)(r)的方法。     

断裂带中岩石硅化的微束研究

断裂带中岩石的硅化现象,通常称之为硅化岩或硅化破碎带,即经动力变质作用的断层岩,通过微束技术对其观察,它们显示出下列特征:在扫描电镜(SEM)下,硅化物质表现为细脉状,而在偏光里微镜下则表现为浸染状;对硅化岩进行组构观察,可见压扁 S 面和剪切 S 面;在透射电镜(TEM)下,可进一步区别不同的位错现象;断裂带岩石的硅化现象是受组成岩石的化学元素的构造地球化学作用所制约的,包括动力分异和化学亲和作用,动热变质作用和退化变质作用,氧化和还原作用以及脱水和水解作用。