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.     

有界模糊数的比较与排序

利用两模糊数之间的距离公式,将模糊数之间的比较转换为模糊数与纵轴距离之间的比较。在此基础之上定义了模糊数空间上的序关系,并证明了它们的一些性质。这种方法的排序效果与人们的直觉是一致的且不悖逆于实数的自然序。利用距离方法定义的序关系,便于理解与计算机实现。     

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.     

自然数幂和通项公式证明的新方法

针对自然数幂和问题,利用多项式和矩阵理论,得到了一种计算自然数幂和通项公式的方法,给出了该方法的具体推导过程．此方法的优点是将自然数幂和问题转换为了线性方程组求解问题,更浅显易懂．     

求解矩阵Penrose广义逆的混合智能算法

有效求解矩阵Penrose广义逆是一个困难的问题．首先将求解Penrose广义逆转化为求最小极值问题,结合粒子群算法和差分算法的优点,设计了混合智能算法．仿真实验结果表明：混合智能算法求解Penrose广义逆是有效的和可行的．算法易于计算机实现,计算精度高．     

阶数n〉4的Hadamard矩阵不是循环矩阵的完整证明

从Hadamard矩阵和循环矩阵元素的一些性质出发,根据阶数n〉4的Hadamard矩阵中元素＋1与-1个数的存在情况,证明了这个Hadamard矩阵不可能由循环矩阵生成．所以,阶数n〉4的Hadamard矩阵不可能是一个循环矩阵．     

部分覆盖被动约束层阻尼板的动力特性分析

由薄板的基本方程出发,考虑粘弹性层与基板、约束层间的法向和切向相互作用力的影响,导出部分带状覆盖被动约束层阻尼（Passive Constrained Layer Damping,PCLD）板在两端简支另两端任意边界情况下的一阶常微分矩阵方程,方程的状态向量由4个独立的位移变量和内力变量组成,可方便地应用于位移和应力边界条件。同时,利用精细积分法和传递矩阵原理求解特征方程,计算了多种情况下PCLD板的固有频率和损耗因子。通过与参考文献结果相比,验证了本文方法的正确性。最后,分析了覆盖位置和覆盖率对结构减振特性的影响。     

基于(G)模糊积分的信息融合方法

采用单一模糊积分进行信息融合的结果有时可能明显失真。例如,(S)模糊积分融合时只考虑了单分类器的识别结果与相应分类器集重要程度中较小的那个量的信息,有时可能会产生错误的分类结果。为了弥补(S)模糊积分等模糊积分的局限性,提出基于(G)模糊积分的信息融合方法,将多个模糊积分的融合结果加权平均作为分类的依据,可以对各单一模糊积分融合效果取长补短,有助于提高多分类器融合系统的识别率和稳健性。