团簇LaO的理论研究

采用密度泛函理论研究LaO团簇体系。中性分子LaO的基态是两重态(2Σ),阴离子LaO-和阳离子LaO 的基态都是单重态(1Σ)。使用不同的方法计算团簇LaO的电子亲和能和电离能。计算结果表明用BLYP方法和弥散极化基组计算结果和实验数据吻合较好。用含时密度泛函理论计算团簇LaO的低能激发态,从理论上归属LaO-的光电子能谱的谱峰和LaO的吸收光谱的谱峰。计算得到与实验一致的结果。     

The average-shadowing property and transitivity for continuous flows

We prove that a continuous flow with the average-shadowing property is chain transitive and a Lyapunov stable continuous flow with the average-shadowing property is a minimal flow.     

The super-efficiency procedure for outlier identification,not for ranking efficient units

In this paper, we conduct simulation experiments to evaluate the performance of two alternative uses of the super-efficiency procedure in Data Envelopment Analysis (DEA). The first is for outlier identification and the second is for ranking efficient units. We find that the ranking procedure does not perform satisfactorily. In fact, the correlations between the true efficiency and the estimated super-efficiency are negative for the subset of efficient observations, and the conventional DEA model performs as well as the super-efficiency DEA model when all observations are considered. However, when data are contaminated with outliers, the use of the super-efficiency model to identify and remove outliers results in more accurate efficiency estimates than those obtained from the conventional DEA estimation model.     

An Algorithm to Construct <Emphasis Type="BoldItalic">k</Emphasis>-Regular <Emphasis Type="BoldItalic">k</Emphasis>-Connected Graphs with the Maximum <Emphasis Type="BoldItalic">k</Emphasis>-Diameter

 Let f(2m,k) be the Maximum k-diameter of k-regular k-connected graphs on 2m vertices. In this paper we give an algorithm and prove that we can construct k-regular k-connected graphs on 2m vertices with the maximum k-diameter using it. We also prove some known results about f(2m,k) and verify that we can get some unknown values of f(2m,k) by our algorithm. Received: December 1, 2000 Final version received: March 12, 2002 Acknowledgments. We thank the referee for many useful suggestions.     

不可压N-S方程的差分流线扩散法

In this paper, a Finite-Difference Streamline-Diffusion (FDSD as short) scheme for the incompressible Navier-Stokes Equations is constructed with linear finite element spaces. The analysis showes that the scheme considered has good stability and higher accuracy than the standard finite elemnet method.     

扩展的Boussinesq系统Lax对的Bcklund变换和递推求解公式的导出

本文研究2+1维的扩展经典Boussinesq系统。首先,研究了系统的Lax对,找出了一个形式十分新颖的带有一个任意函数的Bcklund变换。然后,又导出了Lax对的特征函数的生成公式。最后,利用Bcklund变换和Lax对特征函数生成公式相结合得出了Lax对的递推求解公式。利用此递推公式,求出了一些Lax对的解。     

基于背景运动补偿的红外目标运动分析

 介绍了基于运动补偿的红外目标运动分析方法。阐述了运动补偿的必要性、过程原理和实现方法，并用之于对红外运动目标的视频跟踪，通过用背景运动量补偿目标的相对运动量，得到明确而直观的目标运动轨迹，有效地揭示了目标运动的内在规律，为红外目标的轨迹预测与跟踪提供了更有效的分析依据。     

The synthesis of temperature-sensitive PMMA-coating PNIPAM particles via a rapid microwave-assisted polymerization

PMMA-coating PNIPAM particles were prepared via a rapid microwave-assisted polymerization. The PMMA shell was found to have a limitation on the movement of PNIPAM chains, which resulted in a reversible swelling and shrinking. The swelling-shrinking processes of particles were traced by laser light scattering, and the swelling factor of particles was found to be 1.63 with an average radius of 83.4 nm in the swelling state and of 70.8 nm in the shrinking state.     

一种研究非旋波近似演化问题的系统近似方法

以一个与玻色场耦合的二能级粒子为例，证实了在静态极化子问题的研究中取得成功的相干态近似方法，同样也能够有效地用于非旋波近似下量子系统的时间演化问题。结果同时表明，在一般情况下，哈密顿算符中的非旋波项不能被忽略；并提供了在频率空间进一步检测非旋波项效应的可能性。     

Rigidity theorems for closed hypersurfaces in a unit sphere

In this paper, we prove some rigidity theorems for closed hypersurfaces in a unit sphere.