氯乙烯-乙酸乙烯酯共聚物组成的控制

本文提出了氯乙烯-乙酸乙烯酯共聚物组成的简化计算法,作出了配比为0.84—0.96克分子分数氯乙烯时的共聚物组成算图和组成分布图。如果对共聚物组成均一性的要求不十分严格,含82—95％(重量)氯乙烯的共聚物可以由一次投料法来生产。简化计算法可以推广于r_1>1、r_2<1而以单体1为主的共聚物组成的计算。     

SU4群与基本粒子的对称性

从李羣的一般理论,具体地讨论了SU₄的数学处理,给出了羣的代数结构、不可约表示维数的公式、三个基本表示的明显形式及表示直积分解的主要结果。根据SU₄对称,下列基本粒子的对称模型被构成:(1)Bacry和Van Hove模型,(2)Schwinger模型,(3)正反粒子对称的坂田模型,(4)正反粒子对称的八度法模型。在这些模型中,一些与实验一致的新的结果被得到。     

On the number of matchings of graphs formed by a graph operation

Let G be a simple graph. Define R(G) to be the graph obtained from G by adding a new vertex e* corresponding to each edge e = (a,b) of G and by joining each new vertex e* to the end vertices a and b of the edge e corresponding to it. In this paper, we prove that the number of matchings of R(G) is completely determined by the degree sequence of vertices of G.     

一般寿命分布和定时截尾的Bayes变量抽样方案

林（1994）研究了指数分布和定时截尾的变量抽样方案．本文将讨论一般寿命分布和定时截尾的一次抽样方案．在多项式损失函数的假设下,我们讨论了Weibull分布、双参数指数分布和-分布三种情形,并着重讨论Weibull分布的情形．本文还提出了一个可用于近似地确定最优抽样方案的有报算法,并且进行了灵敏度分析,还同林较早的模型（1990,1994）做了比较．     

A Two-stage screening procedure for mailing credit assessment

Direct mailing is one of the tools of business marketing. Itcan stimulate the purchase of mail-order products or financialservices. When selecting a mailing list, we hope to obtain ahigher mailing response; on the other hand, we also have toconsider the risk of defaulting. In the case of selling financialservices, customers who respond must be examined for credit.In order to avoid jeopardizing the existing relations with suchcustomers, companies try to reduce their rate of declining suchapplicants by controlling, at the mailing stage, for the riskof choosing customers who will default. In this article, a two-stage screening procedure is constructedto solve a problem of mailing credit assessment with mailingand credit-assessment stages;A screening method can be appliedto select a mailing list at the mailing stage, while the needfor a credit assessment depends on the types of product or service.Therefore, this problem may include four possible models: screeningwith or without credit assessment and random sampling with orwithout credit assessment. Moreover, the optimal cutoff scoresare determined by maximizing total profit. A mailing exampleis then given to illustrate the use of the proposed models formailing credit assessment. Compared with a random sampling method,a screening method has a significant improvement in terms ofresponse rate, decline rate, bad rate, and total profit.     

由荧光和反射光谱研究胶原蛋白与抗坏血酸对老化肌肤的吸收速率和治疗效果

胶原蛋白是皮肤组织中的结构性蛋白,其数量和健康关系到外表皱纹的生成与皮肤的老化现象;而抗坏血酸有良好的美白与抗氧化能力,可使肌肤外表更白皙亮丽和保持健康。由于胶原蛋白具有自体荧光,因此我们提出一个藉由皮肤光谱来检验胶原蛋白含量的方法,此检测法更具实时性与非侵入性。本研究使用胶原蛋白和抗坏血酸,涂抹于健康的、与有斑点、皱纹等问题的肌肤,以其荧光与反射光谱随时间的变化,归纳出胶原蛋白与抗坏血酸对不同部位肌肤的吸收难易与修复疗效。结果显示,皮肤会对适当浓度的胶原蛋白或抗坏血酸之吸收效果较佳;加上适当浓度的抗坏血酸,胶原蛋白可被有效吸收同时产生良好的除皱效果;而抗坏血酸之去斑效果也在此研究中明确证实。藉由此一系列科学性的实验,可确实验证美容保养品的作用,帮助爱美人士对化妆保养品的正确选择与正确使用,发挥最好的疗效。     

The Asymmteric Syntheses of Alkaloids via Electro-Oxidation of Aza-Rings

Recently, we found the N-(hydroxyalkyl) aza-rings 1 can produce 2-oxazolidine 2 through electrolysis. With the chiral side chain, the 2-oxazolidine 2 can generate a new chiral center at the 0-aminocarbon when treated with Grignard reagents. Repeat the process of electro-oxidation and substitution by Grignard reagents, we can prepare the two most popular alkaloids bases, pyrroliding and piperidine, with substitutions in an enantioselective fashion. This presentation will discuss the efficiency of electro-oxidation of aza-ring compounds in terms of the oxidation conditions, such as the applied potential, quantity of electricity, solvent effect,and temperature effect. Meanwhile, several demonstrative syntheses of chiral alkaloids, such as Monomorine,(-)-pyrroliding 197B, and(-)-Solenopsin A, will also be presented.     

圆薄板大撓度问题

Equations for the large deflection of thin plate established by Th. von Karman has been well known for many years. But so far there have been only a few iproblems studied with numerical certainty. S. Way was the first to apply these equations to solve the problem of a clamped plate under uniform pressure by the method of power series. After this, S. Levy found the solution of the simply supported rectangular plate under uniform load by the method of double trigonometric series. Both methods are too labourious to be applicable to other more important cases. Lately, Chien Wei-zang treated Way's problem again by means of the perturbation method and obtained excellent results. By the method as given by Chien Wei-zang, Yeh Kai-yuan worked out the problem of circular plate with a central hole under central concentrated load.In this paper, more results are given for various circular plates under various edge conditions. These include uniformly loaded circular plate under various edge conditions (section 2) and central concentrated loaded circular plate under various edge conditions (section 3). Such edge conditions are: (1) simply supported, (2) simply hinged, (3) rigidly clamped, (4) clamped but free to slip, (5) edge clamped but with possible slipping in horizontal direction, (6) edge simply supported but elastically fastened, and (7) edge clamped in elastic wall.All these results are presented in such a form that direct application in design problem is possible. In particular cases, under edge conditions (1) to (4), as σ=0.3, design formulae and curves for central deflection, radial tensile stress and radial bending stress are presented.     

扁薄锥壳在周边弯矩和横向载荷共同作用下的非线性振动

从问题的变分方程和协调方程出发,选取扁锥壳中心最大振幅为摄动参数,采用摄动变分法,对周边简支的扁薄锥壳在周边弯矩和横向载荷共同作用下的非线性振动问题进行了求解.一次近似得到了扁薄锥壳在静载荷作用下的线性固有频率,二次近似得到了扁薄锥壳在静载荷作用下的精确度较高的非线性固有频率.并给出了小变形时固有频率与周边弯矩、横向载荷、振幅以及锥底角之间非线性关系的三次近似解析表达式,数值结果的图形反映了在一定范围内固有频率和各参数之间非线性关系的复杂性和规律性.     

Facile Selective Diels-Alder Reactions of Chiral 5, 5-Dimethyl-4,6-Mathano-2-Methoxycarbonyl-2-Cyclohexenone. Application to the Total Synthesis of Qinghaosu

Starting from (--)-β-pinene,an efficient synthesis of qinghaosu (8) in natural form hasbeen accomplished. The synthesis involves keto ester 7 as a key intermediate which is conveniently pre-pared using the Diels-Alder chemistry developed in our laboratory.