中国南海海绵化学成份研究Ⅱ—B·C

从中国南海西沙群岛永胜岛附近海域采集到的一种海绵(种属未定)分离到两种新的三羟基长链酰胺类化合物S—Ⅱ(C_(49)H_(99)NO_4,M=765,m.p.138-140℃)和S—Ⅲ(C_(45)H_(93)NO_4,M=723,m.p.92—93℃),通过对它们的IR,MS,~1HNMR,~(13)CNMR及~(13)CNMR DEPT等波谱数据分析,S—Ⅱ和S—Ⅲ的结构分别确定为N-(1-乙基-3,22-二羟基)二十二烷基-2-甲基-4-羟基二十四脂肪酸酰胺和N-(1-羟甲基-2-乙基-4-甲基-3,18-二羟基)十九烷基—二十三脂肪酸酰胺。     

新型锆质不定形耐火材料的研制

以废旧电熔锆刚玉为主要原料,采用合理的粒度级配,应用复合结合剂和外加剂以凝聚结合的方式研制成功具有高荷重软化温度、高强度、低气孔率、低烧结线变化的新型锆质不定形耐火材料。图4,表4,参3。     

计算学科中的实验体系

本文讨论了计算学科中的实验体系,阐述了建立实验体系的框架,进入实验规划和实施方案和内容,讨论了实验改革和创新的思路,以及建立软件实验、虚拟实验的探索和建立移动实验室的构想。     

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.     

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     

结构可靠性设计中尺寸变差系数的确定方法

提出了在结构可靠性设计中,根据现有加工条件和设计要求确定几何尺寸变差系数的思想,并给出了当已知精度等级时,直接加工尺寸和组合尺寸变差系数的计算方法和程序。采用该方法使可靠性设计更切合实际。     

季节性冰冻地区公路冻害的防治对策

季节性冰冻地区，路面及路基上部的冻胀与翻浆破坏，不仅严重影响着行车的舒适性与通行能力，而且使各种等级公路的使用寿命大大缩短。针对季节性冰冻地区冻胀与翻浆的成因，给出了一些常用的公路冻害防治办法和对策。     

一类四阶方程边值问题正解的存在性

得到了一类四阶方程边值问题相应的Green函数。从而将该问题转化为相应的Hammerstein型积分方程，并利用锥拉伸与锥压缩不动点定理，证明了它在一定条件下，至少有一个正解。     

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.