新的空洞型损伤演化律及损伤弹塑性大变形有限元描述

本文通过对细观空洞模型的分析，推导出各向同性／运动混合强化材料更为真实和简单的损伤演化和弱化函数的表达式，式中考虑了空洞形状变化对损伤演化的影响，将所得的空洞演化率和弱化函数嵌入新的增量型内本构呆，并考虑损伤引起的塑性体积膨胀，得到了损伤弹塑性大变形内时本构方程，发展相应的轴对称有限元分析程序，用其分析圆柱拉伸试件的颈缩和开有切槽的圆柱试件在切槽前缘的应力和损伤分布，得到与实验较为吻合的结果。     

具有高次积分的二阶三阶常微分方程的结构定理

本文利用确定高次积分因子的引理与确定对应的高次积分的公式以及微分特征列集(吴)方法,给出了拥有高次积分的二阶三阶常微分方程结构定理.     

关于不定方程x^3-1=Dy^2

证明了如下结果：如果题设方程有非平凡整数解，D只有唯一的6k＋1形素因子p，则D要么没有其他素因子，要么任何其他素因子q都满足（3p／q）=1或（p／q）=1。     

Empirical likelihood inference for the regression model of mean quality‐adjusted lifetime with censored data

The authors consider the empirical likelihood method for the regression model of mean quality‐adjusted lifetime with right censoring. They show that an empirical log‐likelihood ratio for the vector of the regression parameters is asymptotically a weighted sum of independent chi‐squared random variables. They adjust this empirical log‐likelihood ratio so that the limiting distribution is a standard chi‐square and construct corresponding confidence regions. Simulation studies lead them to conclude that empirical likelihood methods outperform the normal approximation methods in terms of coverage probability. They illustrate their methods with a data example from a breast cancer clinical trial study.     

对光电效应方程的再认识

光电效应现象揭示了光的微粒性。爱因斯坦利用能量的转换和守恒定律,建立了著名的光电效应方程。本文从一个例题错误引发对光电效应方程的再认识。     

线性异或逻辑方程组和逻辑矩阵

线性异或逻辑方程组现有的求解方法均不适于用计算机求解。为此,本文引入了逻辑矩阵的概念。本文对逻辑矩阵、逻辑向量系的相关性、Cramer法则等进行了理论证明或分析。     

各向异性媒质填充圆波导中对称模的传播

从圆柱坐标系下各向异性媒质中的麦克斯韦方程出发,对对称模的去耦纵向场方程进行变换求解,推导出各向异性媒质填充的圆波导的对称模特征方程。借助于合流超几何函数的渐近展开公式,对对称模的传播常数进行了数值求解。     

Improved estimators for the selected location parameters

_i , i = 1, 2, ..., k be k independent exponential populations with different unknown location parameters θ _i , i = 1, 2, ..., k and common known scale parameter σ. Let Y _i denote the smallest observation based on a random sample of size n from the i-th population. Suppose a subset of the given k population is selected using the subset selection procedure according to which the population π _i is selected iff Y _i ≥Y ₍₁₎−d, where Y ₍₁₎ is the largest of the Y _i 's and d is some suitable constant. The estimation of the location parameters associated with the selected populations is considered for the squared error loss. It is observed that the natural estimator dominates the unbiased estimator. It is also shown that the natural estimator itself is inadmissible and a class of improved estimators that dominate the natural estimator is obtained. The improved estimators are consistent and their risks are shown to be O(kn ⁻²). As a special case, we obtain the coresponding results for the estimation of θ₍₁₎, the parameter associated with Y ₍₁₎. Received: January 6, 1998; revised version: July 11, 2000     

关于二维小波函数的进一步探讨

对二维小被函数作了进一步分析，讨论了二维频率响应的计算，将二维尺度函数用乘积空间中勒让德正交多项式展开，得到了一些可喜结果。     

一类抛物型方程的变网格时空有限元改进格式

研究了抛物型方程的有限元算法,通过在有限元格式中引入平衡项,解空间中放弃了满足初始条件的强制条件,得到了改进的变网格时空有限格式,并给出了cG(1)dG(0)格式的后验误差估计.