非化学计量Li_6F_5团簇的几何结构和电离能

基于非化学计量Li6F5团簇的电离能的实验测量值,从第一性原理出发间接地确定了这个团簇的几何结构.首先选取若干可能的初始结构,然后在密度泛函理论框架内,使用B3LYP泛函和6-311+G(d)基组优化所有初始结构,从而获得能量较低的同分异构体.对该团簇本文找到8个同分异构体,其中最低能量结构是一个对称性为Cs的三维构型.其计算的绝热电离能3.9 eV与实验值4.1±0.1 eV符合很好,表明本文找到的最低能量结构是可靠的.     

数据缺失情况下具有测量误差的两个几何分布总体参数的估计和检验

讨论了部分数据缺失且存在测量误差的两个几何分布总体参数的估计与检验问题,给出了模型参数的矩估计,证明了估计量的强相合性和渐近正态性以及检验统计量的极限分布.     

Genetic and morphometric variation in the potamonautid river crab Potamonautes parvispina (Decapoda: Potamonautidae) from two Western Cape rivers,South Africa

Patterns of genetic and morphometric variation amongst five populations of Potamonautes parvispina from two rivers in the Western Cape, were examined. Genetic variation at 14 loci was investigated using protein gel electrophoresis. The results showed that the populations were genetically invariant within and between the two drainage systems. Discriminant functions analyses of seven carapace variables demonstrated regional differentiation between the population groups in the two drainage systems. Other morphometric characters exhibited a significant degree of variation within drainage systems. Morphometric data were highly variable and were discordant with the genetic data, which suggests that environmental factors may be responsible for the large degree of phenotypic plasticity. Results from the present study are discussed in terms of widespread gene flow and recent population divergence.     

高维空间几何不等式及其应用

就距离几何中研究热点高维空间中单形的几何不等式及其应用的研究，从 6个方面 ,即杨路－张景中不等式及其应用、伪对称集与有关的几何不等式、有关 n维单形的几何不等式、涉及多个单形的几何不等式、 Oppenheim不等式的高维推广、高维非欧空间中的单形之几何不等式 ,综述地报告了近年来我国学者在高维空间几何不等式上的研究成果和一些最新工作，并介绍了所做的研究工作.     

A hybrid-stress solid-shell element for non-linear analysis of piezoelectric structures

This paper presents eight-node solid-shell elements for geometric non-linear analyze of piezoelectric structures.To subdue shear,trapezoidal and thickness locking,the assumed natural strain method and an ad hoc modified generalized laminate stiffness matrix are employed.With the generalized stresses arising from the modified generalized laminate stiffness matrix assumed to be independent from the ones obtained from the displacement,an extended Hellinger-Reissner functional can be derived.By choosing the ass...     

Schur受控理论与n维单形不等式

讨论了单形中几何元素间的受控关系；应用Schur-Ostrowski定理的扩充形式，给出了几类Schur凸函数；并将Petrovic′不等式，Darling-Moser不等式及Finsler-Hadwiger不等式统一推广到n维单形。     

关于A-G的几个新的上下界

对于给定区间上的n个正数,它们的算术平均A和几何平均G的差的估计,一直是不等式理论研究中最基础的一部分.最值压缩定理已成为研究多元不等式的一种常用方法,作为最值压缩定理应用之一,给出了A-G的四个新的上下界,其中的一些强于相应的已知结果.     

有限尺寸反射板对天线阵方向图的影响

采用物理光学法和身体绕射理论（GTD）评论了有限尺寸反射板对天线阵方向图的影响。     

几何分布的几个性质

证明了几何分布的顺序统计量的一些性质，有的性质与指数分布相对应的性质有区别但又相似。     

微积分学基本定理图解

很多人容易误以为函数加上一个常数就是其对应的图形在y轴七平移,但是定积分是面积的函数,要用面积的眼光来看.本文通过图解,直观地解释了φ'(x)=f(x)和牛顿·莱布尼茨公式的几何意义.