断裂力学的半解析相似边界元法

本文首先对弹性力学的相似边界元法进行了研究，推导了相应的计算公式。与传统的边界元法相比，相似边界元法由于只需在少数单元上进行数值积分，大大减少了计算量。在此基础上，对断裂力学问题，利用裂纹尖端位移场的解析表达式将裂纹尖端节点未知量转化为几个待定常数，提出了半解析相似边界元法，可大大减少最终形成的线性代数方程组的系数矩阵的阶数，进一步减小计算量。最后给出了算例，说明了本文方法的有效性。     

关于矩阵对角化的探讨

通过示例探讨了一类可对角化矩阵实施对角化的具体过程.     

Encapsulation of Bromothymol Blue pH‐Indicator into a Sol‐Gel Matrix

Transparent monolithic silica doping with bromothymol blue has been prepared by the acid catalyzed sol‐gel reaction of tetraethylorthosilicate in the presence of bromothymol blue. The immobilized bromothymol blue shows behavior similar to its solution counterpart. It retains its structure during the sol‐gel reactions in terms of response to pH. Polarized light microscopy has indicated that the bromothymol blue molecules are strongly interacted within the host silica network. The immobilization of bromothymol blue into sol‐gel matrix could be used as a solid indicator.     

台湾休闲农业企业核心竞争力评价指标体系研究

通过对相关研究进行梳理,归纳出评价台湾休闲农业企业核心竞争力的五类指标,即资源整合能力、资源创新能力、营销服务能力、品牌经营能力和战略领导能力;并运用德尔菲法和层次分析法,将这五类指标进一步细化、分解与赋权,构建了台湾休闲农业企业核心竞争力评价指标体系,为台湾休闲农业企业有效提升竞争优势提供了理论依据.     

从对称矩阵代数到全矩阵代数的线性群逆保持

设F是一个特征不为2的域,Mn(F)和Sn(F)分别记F上的n×n全矩阵代数和对称矩阵代数.所有的从Sn(F)到Mn(F)的保群逆的线性映射被刻划,作为一个中间步骤,三个矩阵的同时相似标准形也被证明.这个标准形简化了从Sn(F)到Mn(F)的保群逆的线性映射的刻划.     

Nonparametric Estimation of the Measurement Error Model Using Multiple Indicators

This paper considers the nonparametric estimation of the densities of the latent variable and the error term in the standard measurement error model when two or more measurements are available. Using an identification result due to Kotlarski we propose a two-step nonparametric procedure for estimating both densities based on their empirical characteristic functions. We distinguish four cases according to whether the underlying characteristic functions are ordinary smooth or supersmooth. Using the loglog Law and von Mises differentials we show that our nonparametric density estimators are uniformly convergent. We also characterize the rate of uniform convergence in each of the four cases.     

On the convergence rate of Newton interior-point methods in the absence of strict complementarity

In the absence of strict complementarity, Monteiro and Wright [7] proved that the convergence rate for a class of Newton interior-point methods for linear complementarity problems is at best linear. They also established an upper bound of 1/4 for the Q ₁-factor of the duality gap sequence when the steplengths converge to one. In the current paper, we prove that the Q ₁ factor of the duality gap sequence is exactly 1/4. In addition, the convergence of the Tapia indicators is also discussed.This author was supported in part by NSF Coop. Agr. No. CCR-8809615 and AFOSR 89-0363 and the REDI Foundation.This author was supported in part by NSF Coop. Agr. No. CCR-8809615, AFOSR 89-0363, DOE DEFG05-86ER25017 and ARO 9DAAL03-90-G-0093.Visiting member of the Center for Research on Parallel Computations, Rice University, Houston, Texas, 77251-1892. This author was supported in part by DOE DE-FG02-93ER25171.     

关于我国各省市区农林牧渔产值结构类型的区划——利用Motyka相似系数进行聚类分析

本文利用Motyka相似系数作为两个群落相似性的一种度量,给出了群落相似的Q型聚类分析方法,并利用这种方法对2002年我国各省市区农林牧渔各业产值结构类型进行了区划,并对其成因进行了统计分析。     

Cantor尘的Hausdorff测度的初等证明

本文从自相似集的几何性质出发 ,用初等的方法得到了 Cantor尘的 Hausdorff测度 .