伴随矩阵的性质及其应用

讨论了矩阵的伴随矩阵在对称、反对称、正定、正交、相似和特征值等方面的性质及其在线性代数解题中的应用.     

高Tc超导材料Bi_2Sr_2CuO_6和Bi_2Sr_2CaCu_2O_8的晶格振动对称性分析

本文运用群论方法,对高T_c Bi 系超导体中的Bi_2Sr_2CuO_(?)和Bi_2Sr_2CaCu_2O_8的晶格振动模进行了系统的对称性分类.给出了其布里渊区中(?)点,X 点和△线振动模式的对称分解和对称化基.     

探求高等数学中的对称美

高等数学中的对称关分为三类：形式和结构的对称性、命题关系中的对偶性及解题策略中的对称法。     

应用对称性研究碱金属原子的能级分裂

应用对称性研究了碱金属原子在无外场而有自旋轨道耦合作用和在均匀强弱磁场中的能级分裂，并计算了其能级一级近似值。     

Why the Afshar experiment does not refute complementarity

A modified version of Young's experiment by Shahriar Afshar demonstrates that, prior to what appears to be a “which-way” measurement, an interference pattern exists. Afshar has claimed that this result constitutes a violation of the Principle of Complementarity. This paper discusses the implications of this experiment and considers how Cramer's Transactional Interpretation easily accommodates the result. It is also shown that the Afshar experiment is analogous in key respects to a spin one-half particle prepared as “spin up along x”, subjected to a nondestructive confirmation of that preparation, and post-selected in a specific state of spin along z. The terminology “which-way” or “which-slit” is critiqued; it is argued that this usage by both Afshar and his critics is misleading and has contributed to confusion surrounding the interpretation of the experiment. Nevertheless, it is concluded that Bohr would have had no more problem accounting for the Afshar result than he would in accounting for the aforementioned pre- and post-selection spin experiment, in which the particle's preparation state is confirmed by a nondestructive measurement prior to post-selection. In addition, some new inferences about the interpretation of delayed choice experiments are drawn from the analysis.     

On some tests-based projection pursuit for elliptical symmetry of a high-dimensional distribution

Some test statistics of Kolmogorov type and Cramér-von Mises type based on projection pursuit technique are proposed for the testing problem of sphericity of a high-dimensional distribution. The limiting distributions of the test statistics are derived under the null hypothesis and under any fixed alternative. The asymptotic properties of bootstrap approximation are investigated. Furthermore, for computational reasons, an approximation for the statistics, based on the number theoretic method, is suggested. An erratum to this article is available at .     

具有公共对称面的两个二次回转面的相贯线

本文论述了常见的两个二次回转面轴线相交和平等时,其相贯线在公共对称面（投影面）的投影分别为双曲线和抛物线,只有在特殊情况下是直线,椭圆和圆,并举例说明在计算机上绘图的方法。     

悬挂系统阻尼非对称性对车身振动的影响

采用瞬态信号等效替换随机激励的方法,通过计算讨论车辆在路面随机激励下双作用减振器阻尼的非对称性对车身振动的影响,并讨论了车辆在路面冲击激励下阻尼非对称对车身振动加速度响应的峰值以及总能量的影响。     

对称性对二相互作用玻色子耦合系数的制约

给出了一般形式下二体相互作用玻色系统对角化的一般方法,讨论了能对角化的条件,得到了制约耦合系数的两个关系式。     

基于三角点阵模型的自组织城市网络探讨

基于城市体系的三角点阵模型提出了自组织城市网络空间结构无标度性的数学定义和描述方法：假定区域城市是三角点阵格局上的无规分布，构造城市两两之间的空间关联函数；只要城市关联密度与码尺之间满足幂指数关系，就表明城市体系是无标度网络，可以用标度指数进行度量。以河南省为研究区，对城市空间关联进行了实证分析，发现在双对数坐标图上存在明确的无标度区，从而在揭示自组织城市网络内在复杂规律的同时，证实了上述方法刻画无标度城市网络的有效性。