企业竞争与顾客矩阵

借用西方企业竞争战略的分析工具——顾客矩阵 ,探讨了中国企业实现可持续竞争优势的策略选择 ,即构造自己的顾客矩阵 ,并阐述了构造顾客矩阵的基本步骤和方法。     

关于一种竞赛图和(0,1)——矩阵的有关问题的猜想

本文首先提出了关于一种竞赛图Ｄ的两个猜想：（１） 这种竞赛图是哈密尔顿图;（２） Ｄ的邻接矩阵Ａ（Ｄ）是满秩的。然后,证明了当Ｄ的顶点个数ｎ＝ ３ 和ｎ＝ ５ 时,这两个猜想都成立。     

Haddon矩阵模型在技巧啦啦队训练损伤防范中的运用

本文应用Haddon矩阵模型理论对技巧啦啦队训练伤害的防范进行研究。试图以新的视角寻找损伤防范的规律,建立新的啦啦队训练赛事精准分析矩阵模型,将弥补技巧啦啦队训练伤害防范中的理论空白。并依据新矩阵模型,研究从运动者、物理环境、社会环境以及媒介四个方面提出减少训练损伤的方法。     

Toeplitz矩阵的性质及其应用

运用矩阵方法,研究了特殊的Toeplitz矩阵A和n阶幂零矩阵在相似变换下的广义逆,得到了Toeplitz矩阵的一些性质,并用这些性质刻画了幂零矩阵A在相似变换下的广义逆的表达形式.     

中国城乡居民代际收入流动分析

利用CGSS提供的中国28个省区微观调查数据,应用Atkinson回归模型和转移矩阵两种度量代际收入流动性的方法,研究了中国2005年的城乡居民代际收入流动性及其影响因素。研究发现：代际收入在不同的分类下流动弹性并不大,其中城市的流动高于农村;东、中、西部的流动弹性呈现逐渐递减趋势。利用转移矩阵对流动性进行测度,研究表明：总体的代际收入流动有一种保持效应,即从最低等级转向高一等级的概率较小,从最高等级转向低一等级的概率也较小,总体的不同等级间的流动性较差。性别、年龄、受教育年限和家庭背景对个人收入的高低起着积极的作用。     

Classification of difference matrices over cyclic groups

The existence of difference matrices over small cyclic groups is investigated in this computer-aided work. The maximum values of the parameters for which difference matrices exist as well as the number of inequivalent difference matrices in each case is determined up to the computational limit. Several new difference matrices have been found in this manner. The maximum number of rows is 9 for an r ×15 difference matrix over Z₃, 8 for an r ×15 difference matrix over Z₅, and 6 for an r ×12 difference matrix over Z₆; the number of inequivalent matrices with these parameters is 5, 2, and 7, respectively.     

Isomorphism check in fractional factorial designs via letter interaction pattern matrix

Two fractional factorial designs are considered isomorphic if one can be obtained from the other by relabeling the factors, reordering the runs, and/or switching the levels of factors. To identify the isomorphism of two designs is known as an NP hard problem. In this paper, we propose a three-dimensional matrix named the letter interaction pattern matrix (LIPM) to characterize the information contained in the defining contrast subgroup of a regular two-level design. We first show that an LIPM could uniquely determine a design under isomorphism and then propose a set of principles to rearrange an LIPM to a standard form. In this way, we can significantly reduce the computational complexity in isomorphism check, which could only take O(2^p)+O(3k³)+O(2^k) operations to check two 2^k−p designs in the worst case. We also find a sufficient condition for two designs being isomorphic to each other, which is very simple and easy to use. In the end, we list some designs with the maximum numbers of clear or strongly clear two-factor interactions which were not found before.     

基于EFE和IFE矩阵的职业教育发展策略

建立现代职业教育体系,加快发展职业教育是党和国家的重大战略部署。运用EFE、IFE矩阵分析法对职业教育内外部环境中存在的机会、威胁、优劣势进行定量与定性分析,结合SWOT矩阵分析,提出了推进职业教育深入发展的对策建议:推进现代职业教育体系建设;建立职业教育多元参与机制;提高技能型人才培养质量;提升职业教育发展保障水平;加强对职业教育的组织领导。     

D-Optimal Designs for Covariate Models

The problem of finding D-optimal designs in the presence of a number of covariates has been considered in the one-way set-up. This is an extension of Dey and Mukerjee (2006 Dey , A. , Mukerjee , R. ( 2006 ). D-optimal designs for covariate models . Statistics 40 : 297 – 305 .[Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]) in the sense that for fixed replication numbers of each treatment, an alternative upper bound to the determinant of the information matrix has been found through completely symmetric C-matrices for the regression coefficients; this upper bound includes the upper bound given in Dey and Mukerjee (2006 Dey , A. , Mukerjee , R. ( 2006 ). D-optimal designs for covariate models . Statistics 40 : 297 – 305 .[Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]) obtained through diagonal C-matrices. Because of the fact that a smaller class of C-matrices was used at the intermediate stage where the replication numbers were fixed, ultimately some optimal designs remained unidentified there. These designs have been identified here and thereby the conjecture made in Dey and Mukerjee (2006 Dey , A. , Mukerjee , R. ( 2006 ). D-optimal designs for covariate models . Statistics 40 : 297 – 305 .[Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]) has been settled.