“容球旋转体的共性”再探

文[1]、文[2]、文[3]分别给出以下3个定理： 定理1 在存在内切球的前提下，多面体的体积均等于其表面积与相应内切球半径乘积的三分之一．     

强激光远场焦斑重构算法研究

通过CCD图像采集单元结合传统的列阵相机测量高功率固体激光器的远场焦斑分布,采用图像处理技术的边缘算子提取焦斑的几何中心,提出通过几何中心对心的焦斑嵌套重构算法,解决了光斑饱和时的对心难题,实现了快捷准确测量激光焦斑,为激光器的实时控制提供参考数据。     

GEOMETRIC AND ELECTRONIC STRUCTURES OF Ti8C12 CLUSTER

The electronic structure of Ti₈C₁₂ clusters with three possible geometric structures suggested in the literature is studied using the discrete-variational local-density-functional method. The results show that the ground states of the clusters are all degenerate, which means further Jahn-Teller distortions for the geometric structures of clusters. The results also indicate that the distorted dodecahedral Ti₈C₁₂ cluster, which is proposed by Guo et al. and optimized by the first principle calculations, is the most stable one among the clusters we considered and its electronic structure can explain the experimental observations. In this cluster, there is a strong pd bonding between Ti and C atoms, and the density of states at the Fermi energy is high.     

GEOMETRIC AND ELECTRONIC STRUCTURES OF Ti8C12 CLUSTER

The electronic structure of Ti₈C₁₂ clusters with three possible geometric structures suggested in the literature is studied using the discrete-variational local-density-functional method. The results show that the ground states of the clusters are all degenerate, which means further Jahn-Teller distortions for the geometric structures of clusters. The results also indicate that the distorted dodecahedral Ti₈C₁₂ cluster, which is proposed by Guo et al. and optimized by the first principle calculations, is the most stable one among the clusters we considered and its electronic structure can explain the experimental observations. In this cluster, there is a strong pd bonding between Ti and C atoms, and the density of states at the Fermi energy is high.     

义务教育七年级数学研究性学习的一个案例

本案例依照北师大版义务教育课程标准实验教科书及其教学参考书 (七年级上册 )的指导思想进行设计和教学 ,文中的问题是以该教科书第 1 1 1页复习题C组第 3题为背景进行加工拓展而成的 ,特此说明 .1　学生作业单之一1 1　动手实践 :操作 1　用棋子摆出图 ( 1 )、( 2 )、( 3) ,数一数 :摆图 ( 1 )用个棋子 ,摆图 ( 2 )用个棋子 ,摆图 ( 3)用个棋子 .操作 2　按照上述方式摆出第 ( 4 )个图形和第 ( 5 )个图形 ,数一数 :摆图 ( 4 )用个棋子 ,摆图 ( 5 )用个棋子 .提示 :摆出第 ( 4 )、( 5 )个图形的方式是否唯一呢 ?1 2　自主探索 :问题 1　…     

Improvement of Security of Three-Party Quantum Secure Direct Communication Based on GHZ States

A protocol for three-party quantum secure direct communication based on Greenberger-Horne-Zeilinger （GHZ） states was recently proposed by 3in et al. [Phys. Lett. A 354 （2006） 67] By analysing the protocol we find some security loopholes, e.g. one bit of secret messages of a party （Alice in the original paper） can always be leaked straight to the public without any eavesdropping. These problems suggested previously are discussed and possible solutions are presented to improve the security of the original protocol.