c＝3，N＝2超共形场论的Z2 0rbifold—Prime模型

讨论了二维环面上中心荷c＝3，N＝2的超共形场论。特别给出该理论的配分函数，进一步，为了产生新的模型，回顾了一般的orbifold方法，然后构造了模不变的Z2 0rbifold—Prime模型。     

Extension of Isometries Between the Unit Spheres of Normed Space E and C（Ω）

In this paper, we study the extension of isometries between the unit spheres of normed space E and C（Ω）. We obtain that any surjective isometry between the unit spheres of normed space E and C（Ω） can be extended to be a linear isometry on the whole space E and give an affirmative answer to the corresponding Tingley＇s problem （where Ω be a compact metric space）.     

关于共形平坦流形中子流形的不等式

本文目的在于建立共形平坦黎曼流形中子流形的数量曲率截面曲率间关系的几个不等式,在流形是常曲率的情况下,这些不等式改进了B.Y.Chen和M.Okumura的结果。§1.基本公式和引理设M~(n+p)是一个n+p维的共形平坦黎曼流形,V~n是M~(n+p)的n维子流形。在M~(n+p)中选取局     

NUMERICAL ANALYSIS OF QUASICONFORMAL MAPPINGS BY CIRCLE PACKINGS

Thurston proposed that conformal mappings can be approximated by circle packing isomorphisms and the approach can be implemented efficiently. Based on the circle packing methods the rate of convergence of approximating solutions for quasiconformai mappings in the plane is discussed.     

两类拟共形映射的掩盖定理

In this paper we define two classes of quasiconformal mappings,and study their covering properties by methods of module.We obtain some new results.In the meantime,we give new methods to prove Koebe 1/2 covering theorem on convex conformal mappings.     

快中子照相中的点扩展函数计算

 快中子照相中，基于反冲核原理探测快中子的有机闪烁体平板是普遍采用的快中子辐射转换体。模拟了D-T中子垂直入射BC400闪烁体平板，计算了不同厚度平板闪烁体的点扩展函数，对14.1 MeV快中子照相中闪烁体固有分辨率随厚度的变化进行了研究。计算结果表明，在不考虑二次中子与闪烁体作用及背景噪声等情况时，点扩展函数几乎不依赖于闪烁体厚度。同时，计算还表明在一定的分辨率范围内，由于荧光收集效率的限制，闪烁体厚度增加并不会改善图像对比度。     

在SQUID心磁测量中基于奇异值分解和自适应滤波的噪声消除法

采用矩阵奇异值分解(singular value decomposition, SVD)的方法，对高温射频超导量子干涉仪(HTc rf-SQUID)采集到的单通道心磁信号进行处理.证明了对于近似周期性的心磁信号，在无参考噪声的情况下矩阵奇异值分解的方法与自适应窄带陷波相结合有较好的消除广谱噪声的效果. 关键词： 高温射频超导量子干涉仪 心磁信号 奇异值分解 噪声消除     

理想微裂纹系统中的随机扩展效应

本文讨论了在理想微裂纹系统中,由于微裂纹的随机性扩展,对微裂纹统计演化产生的效应。文中提供了一般的理论框架,给出了便于处理的转移概率的表达式。最后,用数值计算的例子展示了随机模型的统计演化特征,并比较了与确定性扩展模型下统计演化的异同。     

借形解题的几点注意

借形解题是以“形”研究“数”,它使我们可以借助直观,从整体上、本质上透视问题,十分有利于问题的解决.但是,如果忽视了图形的正确性、存在性、完整性和简洁性往往会使解题陷入困境或导致错误.1注意图形的正确性例1设t>0,求坐标平面上的两点A t 1t,t-1t,B(-1,0)之间的距离的最     

A New Holographic Entropy Bound from Conformal Field Theory at the Killing Horizon

A new holographic entropy bound is obtained by using conformal field theory at the Killing horizon.The entropy bound is tighter than the well-known bounds,such as the Bekenstein,Bekenstein-Mayo and‘t Hooft bounds.The result shows that the entropy of a system decreases when quantum effects are included.Therefore,the quantum effect will increase the degree of order of the system.