实矩阵的分解性

考虑如下有趣的猜想:实矩阵可分解为一个对称阵与一个对合阵的乘积.从特征根的角度给出n=3的情形的新的证明.     

正规矩阵的性质

设H是Hermite正定矩阵，定义矩阵A的H——共轭为A’=H^-1AH．．若AA‘=A‘A，则称A为H—正规矩阵．本文得到了H—正规矩阵的一些性质．     

C*-代数上部分矩阵的可逆补

给出了有单位元的C*-代数上可逆矩阵的特征,讨论了C*-代数上部分矩阵的可逆补问题,得到C*-代数上部分矩阵(a? cb)有可逆补的条件.     

七元素调控宏观经济

经济哲学与宏观经济调控方略在经济发展中的重要性显而易见．回顾经济学流派的各种经济政策展示了调控的显著性，在当今国际经济一体化过程中，宏观经济政策的贫乏越加显现出来．创新是首要任务．以宏观经济指标理论，政策性和阶段性的宏观调控策略．宏观经济良性循环三大任务为综合目标的七元素调控宏观经济的数学模型是三率调控宏观经济的进一步深入和细致，我们分析了税收，存款利率，贷款利率，汇率，货币发行量，国债发行量，财政预算七元素与30个宏观经济指标变量间的经验关系，并由此建立粗略的阶段性的效益矩阵作为决策的基础．利用宏观经济指标对经济的贡献率确定加权系数，并建立线性的目标函数并求出离散组合优化值，为中国宏观经济的发展献一点调控策略。供政府部门的决策者参考．     

电磁场中二能级原子的密度矩阵

求解了经典电磁场中二能级原子系统的密度矩阵演化方程，得到了系统状态的演化规律。     

西安古都史当在5000年以上——西安作为黄帝“铸铜（鼎）地”和“都邑”新探

《史记》中的＂黄帝史观＂,在血缘、文化、＂治统＂和＂关中文明一元论＂四层含义上,把黄帝视为中华民族的唯一共同祖先,对维护中国统一和民族凝聚力曾具积极意义,但在科学上也有偏误。它关于＂黄帝铸铜鼎于荆山＂的记载,虽被镶嵌在黄帝史观背景上未可全信,但荆山作为黄帝＂铸铜地＂,却被考古所证实。《史记》在汉武帝＂为鼎而狂＂时,根据民间传说写下的这一笔,也是记录黄帝在西安荆山铸铜事件的信史。从《史记》其它记载看,作为黄帝＂铸铜地＂的西安,其实就是黄帝＂都邑＂,西安的古都城史应被提前至黄帝时期,当在5000年以上。     

基于分子结构矩阵的醇类化合物色谱保留指数的预测

根据分子结构创建了分子结构矩阵,将分子结构矩阵的行数、列数以及其向量的一范数的算术平方根为分子的结构信息指数,并将多元统计学中的因子分析方法引入QSPR/QSAR研究中,以优化的变量因子为自变量,预测了25种醇类化合物的色谱保留指数,结果令人满意.     

Emerging Educational Institutional Decision-Making Matrix

The ＂emerging educational institutional decision-making matrix＂ is developed to allow educational institutions to adopt a rigorous and consistent methodology of determining which of the myriad of emerging educational technologies will be the most compelling for the institution, particularly ensuring that it is the educational or pedagogical but not the technological imperative that drives the technology integration agenda. The matrix is designed to be used after some initial research into an emerging technology. Once a technology is put through the matrix, a member of options are available： （1） shelving the technology; （2） putting the technology on hold and maintaining a watching brief until the technology matures in the market; and （3） researching the product further by conducting a trial or placing in testing sandpit. After further research, the technology can be tested as a pilot to determine how well or otherwise, the technology works within the institution. If an emerging technology has more than one product associated with it, a second and third step in the matrix has been developed, and the second step assigns a rating to each of the categories within the matrix. With many products containing similar features, a third step has been developed to compare products on a feature level.     

次强Hermiter矩阵及其性质

在次Hermiter矩阵定义的基础上给出了次强Hermiter矩阵的概念,利用次Hermiter矩阵的研究方法及性质,推出了次强Hermiter矩阵的一些性质．     

Searching high gray scale FPD scanning matrix based on PSO

With the increase of gray scale and flat panel display (FPD) size, subspace bitwise scanning strategy can be replaced traditional scanning method to cut down frame frequency. However, the direct searching strategy (DSS) becomes unfeasible to obtain corresponding high gray scale scanning matrix. Thus, particle swarm optimization (PSO) is introduced to accelerate searching for high gray scale weights scanning matrix (WSM) with its parallelism and global optimization feature. Finally a WSM of 256 gray scales is found out successfully with Matlab, which both gray linearity and scanning efficiency are satisfied.