CALCULUS ON CANTOR TRIADIC SET （Ⅱ）—EXCEPTIONAL SET

In this paper the derivative and its exceptional set according to the alternatively jumping function and self-similar function respectively are discussed. And in the appendix, a proof of the statement 1.2(2) of “Calculus on Cantor triadic set (Ⅱ)—derivative” which is important to the discussion of exceptional set is given.     

弱极值的充分条件

欧拉方程F_y-F_y'x-F_(y'y)Y'-F_(y'y')Y~n=0若它的解为y=y(x)找出泛函T(y)达到弱板小值的充分条件。若曲线y=y(x)∈V满足:1)F_y-(d/dx)F_Y'=0 2)P(x)=(1/2)F_y'Y'>0 3)区间[a,b]不含x=a的共轭点,则此曲线y=y(x)使泛函T(y)达到弱极小值。     

变质量三体问题

本文研究了变质量圆型限制性三体问题的运动方程,Jacobi积分,给出了拉格朗日特解,并对零速度面和平动点附近的稳定性做了讨论。     

数字剪切散斑干涉术中的刚体位移补偿的新方法

给出一个数字剪切散斑干涉术中的刚体位移补偿的新方法，当刚体位移大于一个像素时，加载前后的散斑图将会由于位置的变化导致失相关，重新安排每一个像素将会克服此失相关，散斑平均、条纹重构以及迭代方法用来改善条纹质量，消除散斑噪声，最后得到可取结果。     

衍射光学元件的解析分析方法

从波动光学传播的菲涅尔衍射出发，探讨一次光学转换形成任意要求的图形的问题。导得两平行传播平面的函数关系，从而在确定像面分布的条件下可以逆求出原始面的振幅与倍相分布。文中给出了几个实例，充分表明这是有实用价值的一种衍射光学元件设计方法。     

稀磁合金的杂质效应对热导率和热电势的影响

本文采用李正中的Ｈａｍｉｌｔｏｎｉａｎ，讨论了稀磁合金中ｓｄ互作用效应（孤立杂质效应和ＲＫＫＹ关联效应）对热导率和热电势的影响．     

汉字史断代方法述评

汉字发展史是汉字研究的基础性课题之一,汉字史的断代研究异说纷呈,断代标准各有不同.主要有字体变化、四阶段论、中国历史进程、综合法、汉字性质变化、汉语史分期、汉字构形变化等.随着研究的深入,有些问题,学者们的看法渐趋一致.     

环上的一种群具体作用的G-等变K-群(Ⅰ)

讨论幺环上的一种群具体作用的G-等变代数K-群(本文只定义前两个群,其它高阶群将见我们的后续文章),这与通常熟知的经典情形(见[1,3])不相同,这里群在环上的作用相对于经典情形来说较"具体".然后,计算有理数域Q的第0阶群具体作用的G-等变代数K-群,这是本文的主要定理.     

Multiple Solutions and Its Morse Index for One-Dimensional Nonlinear Problem

The multiple solutions for one-dimensional cubic nonlinear problem u" u~3=0,u(0)=u(π)=0are computed,on the basis of the eigenpairs of-φ"_k=λ_(kφk),k=1,2,3....There exist two nonzero solutions±u_k corresponding to each k,and their Morse index MI(k) for 1(?)k(?)20 is to be exactly determined.It isshown by the numerical results that MI(k)(?)k.     

Explicit Expressions for the Ruin Probabilities of Erlang Risk Processes with Pareto Individual Claim Distributions

In this paper we first consider a risk process in which claim inter-arrival times and the time untilthe first claim have an Erlang (2) distribution.An explicit solution is derived for the probability of ultimateruin,given an initial reserve of u when the claim size follows a Pareto distribution.Follow Ramsay,Laplacetransforms and exponential integrals are used to derive the solution,which involves a single integral of realvalued functions along the positive real line,and the integrand is not of an oscillating kind.Then we showthat the ultimate ruin probability can be expressed as the sum of expected values of functions of two differentGamma random variables.Finally,the results are extended to the Erlang(n) case.Numerical examples aregiven to illustrate the main results.