基于ZnO/金刚石/Si结构的瑞利波频散特性计算

结合声表面波的基本理论和递归刚度矩阵法,通过将瑞利波从声表面波中分离,推导出基于ZNO/金刚石/Si结构的有效介电常数数学模型。根据所建立的数学模型,采用Matlab编制出相应程序,计算得到瑞利波的相速度和机电耦合系数频散曲线。该频散曲线具有较高的精确性,能很好地反映出瑞利波的频散特性。本文从解基本的波动方程理论出发,得到了三层结构的有效介电常数数学模型,并且将其程序化,最终得到了声表面波器件设计中的两个重要参数,为多层薄膜器件的设计奠定了一定的基础。     

逆向物流回收中心选址的新方法

分析了回收中心选址问题的特点和影响因素，运用一种全新的方法——两两比较分层递进矩阵法，结合AHP法和TOPSIS法建立回收中心选址决策模型。该模型全面考虑回收中心选址的各种影响因素，具有简便、数据处理量少的特点，为回收中心选址决策提供新的解决思路。最后给出示例。     

A Non-parametric Method for Defining a Global Preference Ranking of Industrial Products

Although experimentation is a crucial stage in the process of research and development of industrial products, no satisfactory procedure is available to deal with the common but rather important industrial problem of defining a preference ranking among all the studied product prototypes on the basis of performances. In this paper we propose a two-stage non-parametric procedure in which we firstly perform a set of C-sample testing procedures, followed by multiple comparisons, in this way evaluating a set of partial preference rankings, and secondly synthesise the partial rankings by combining them into a global ranking that provides a general product preference rule. The proposed method is particularly useful in the context of industrial experimentation and offers several advantages such as effectiveness, high flexibility and practical adherence to real problems where preference ranking is a natural goal.     

实对称正定矩阵的推广

把实对称正定矩阵推广到实方阵正定矩阵 ,并得到若干好的结果     

Some 'fractious energy'

Florian Coulmas (ed.). The Handbook of Sociolinguistics (Blackwell Handbooks in Linguistics, 4). Oxford: Blackwell. 1997. x + 532 pp. Cloth (0–631–19339–1) £70.00.     

分式线性递推数列通项的矩阵求法

本文利用求二阶矩阵乘方的方法，来统一处理求分式线性递推数列通项的问题。     

Conditional Studentized Survival Tests for Randomly Censored Models

It is shown that in the case of heterogenous censoring distributions Studentized survival tests can be carried out as conditional permutation tests given the order statistics and their censoring status. The result is based on a conditional central limit theorem for permutation statistics. It holds for linear test statistics as well as for sup-statistics. The procedure works under one of the following general circumstances for the two-sample problem: the unbalanced sample size case, highly censored data, certain non-convergent weight functions or under alternatives. For instance, the two-sample log rank test can be carried out asymptotically as a conditional test if the relative amount of uncensored observations vanishes asymptotically as long as the number of uncensored observations becomes infinite. Similar results hold whenever the sample sizes and are unbalanced in the sense that and hold.     

Cauchy-Buniakowski不等式的矩阵形式

Cauchy -Buniakowski不等式是Euclid空间理论的重要基石之一 ,文献 [1,2 ]都给出了该不等式的向量内积形式 .本文考虑矩阵乘积形式的Cauchy -Buniakowski不等式 ,通过在矩阵间引入偏序关系 ,讨论对称矩阵及Hermite矩阵的某些性质 ,得到矩阵形式的Cauchy -Buniakowski不等式和三角形不等式 ,从而推广了文献 [1,2 ]的结果     

加权平均不等式的加细及其应用

证明了加权调和平均、几何平均和算术平均的一个加细不等式链，并用此证明了加权ＫｙＦａｎ不等式     

计算多转子系统临界转速的整体传递矩阵法

提出了整体传递矩阵法中耦合单元的概念，导出了各向同性和各向异性耦合单元的传递矩阵，并给出了几个算例。整体传递矩阵法是取各转子状态向量的集合作为系统的状态向量，各转子同时对系统状态向量进行传递，求得多转子轴系的整体传递矩阵方程，代入整体边界条件进行求即可得到多转子轴系的临界速。与子结构传递矩阵法相比，整体传递矩阵法不必将多转子系统在耦合单元处分割开来，示引入未知内力和位移，也不必建立分割处的平衡方程或变形协调条件。