关于完备Riemann流形的本性谱

本文证明一类具非负截曲率完备Riemann流形的Laplace算子的本性谱为(0,+∞)。     

关于有界域的逆紧映照

本文对近20年来多复变函数的一个发展迅速的数学热门分支－逆紧映照作了一个回顾和整理。这是作者继续从事此方向研究的先声，也希望本文能为有志于此的研究者提供一些便利。本文从经典的结果开始，通过对逆紧映照在边界上的开拓及分支点的分布的讨论，详细地阐述了这些年来关于逆紧映照何时成为双全纯映照的若干结果。最后，对近年来关于逆紧映照另外的一些工作进行了简单的介绍。     

UNIQUENESS PROBLEM WITH TRUNCATED MULTIPLICITIES OF MEROMORPHIC MAPPINGS FOR MOVING TARGETS

In this article,two uniqueness theorems of meromorphic mappings on moving targets with truncated multiplicities are proved.     

Electro-Magnetic Control of Vortex Shedding Behind a Circular Cylinder

Both open- and closed-loop control algorithms have been developed for suppressing of vortex shedding behind a circular cylinder in an electrically low-conducting fluid. For the open-loop control, the localized Lorentz forces are generated parallel to the cylinder surface, which have the accelerated effect to the fluid. Furthermore, two closed-loop control methods have been derived from the equations of motion capable of determining at all times the intensity of the Lorentz force to control the vortex shedding of a cylinder.     

Teleportation of an arbitrary mixture of diagonal states of multiqudit

This paper proposes a scheme to teleport an arbitrary mixture of diagonal states of multiqutrit via classical correlation and classical communication. To teleport an arbitrary mixture of diagonal states of N qutrits, N classically correlated pairs of two qutrits are used as channel. The sender （Alice） makes Fourier transform and conditional gate （i.e., XOR（3） gate） on her qutrits and does measurement in appropriate computation bases. Then she sends N ctrits to the receiver （Bob）. Based on the received information, Bob performs the corresponding unitary transformation on his qutrits and obtains the teleported state. Teleportation of an arbitrary mixture of diagonal states of multiqudit is also discussed.     

翼型绕流电磁控制的实验和数值研究

分布在弱电介质溶液中的电磁力(Lorentz力)，可以有效地控制边界层的流动.利用以转动水槽为主的实验系统和基于双时间步Roe格式的数值方法，对翼型绕流的电磁控制进行了实验和数值研究.结果表明，对于一定攻角的翼型，电磁力可以控制其绕流形态.当电磁力方向与流动方向相同时，可以抑制分离，消除涡街，其效果与减小攻角类似.当电磁力的方向与流动方向相反时，可在流场中形成大涡组成的涡街，增强流体的混合能力，其效果与增大攻角类似.     

Scheme for implementing quantum secret sharing via cavity QED

An experimentally feasible scheme for implementing quantum secret sharing via cavity quantum electrodynamics （QED） is proposed. The scheme requires the large detuning of the cavity field from the atomic transition, the cavity is only virtually excited, thus the requirement on the quality factor of the cavity is greatly loosened.     

截断型亚纯映射的唯一性定理涉及到小映射的情形

唯一性定理是多复变值分布中重要的定理之一,本文在已有的研究成果上,运用Thai最新得到的第二基本定理,给出了多复变中截断型亚纯映射新的唯一性定理涉及到小映射情形.     

复射影曲线上特殊线丛的射影正规性

本文给出复射影曲线上特殊线丛正规生成的一系列充分条件.     

图簇GS*(i)j1j2…jt(p,tkm)的伴随多项式的因式分解及色性分析

令S1,k表示k+1个顶点的星,Pm表示m个顶点的路,G是任意的p阶连通图.设V(Pm)={V1,V2,…,Vm-1,Vm}及相应的度序列为(1,2,…,2,1).SP(i)km+1表示把kPm的每个分支的第i个顶点Vi分别与星S1,k的k个1度点重迭后得到的图,用GS*(i)j1j2…jt(p,tkm)表示把tSP(i)km+1的每个分支的k度点分别与图G的顶点uj1,uj2,…,ujt(t≤p)重迭后得到的图,这里p≥1,k≥2,m≥3,1≤i≤m,t≥1.我们通过讨论图簇SP(i)km+1∪(k-1)K1、SP(i)2rm+1,SP(i)(2r-1)m+1以及GS*(i)j1j2…jt(p,2rmt),GS*(i)j1j2…jt(p,(2r-1)mt)的伴随多项式的因式分解,证明了它们的补图的色等价图的结构定理.推广了张秉儒证明的文[8]中的定理2和定理4.