Necessary Conditions for Differentiability of Distance Functions

Necessary conditions for the Gâteaux differentiability of the distance function to a set are considered. A series of characterizing results is obtained.     

Nonsensitiveness Regions for Threshold Ellipsoids

The problem is to determine nonsensitiveness regions for threshold ellipsoids within a regular mixed linear model.     

The one-dimensional Hubbard model for large or infiniteU

The magnetic properties of the one-dimensional Hubbard model with a hardcore interaction on a ring (periodic boundary conditions) are investigated. At finite temperatures it is shown to behave up to exponentially small corrections as a pure paramagnet. An explicit expression for the ground-state degeneracies is derived. The eigenstates of this model are used to perform a perlurbational treatment for large but finite interactions. In first order inU ¹ an effective Hamiltonian for the one-dimensional Hubbard model is derived. It is the Hamiltonian of the one-dimensional Hcisenberg model with antiferromagnetic couplings between nearest neighbor spins. An asymptotic expansion for the ground-state energy is given. The results are valid for arbitrary densities of electrons.     

关于正值函数无穷积分收敛性判别法的讨论

文 [1 ]给出了非负函数无穷积分收敛性的几个判别法 ,本文给出了比文 [1 ]判别法更精细的一个判别法 ,同时 ,通过与文 [1 ]中判别法的比较 ,说明它比文 [1 ]中的判别法都强 .     

Authorware制作课件解疑及操作技巧

介绍了Authorware软件使用过程中的一些常见问题并给出了具体的解决方案 ;说明了在Au thorware软件使用过程中如何利用一些操作技巧     

The measurement of subcritical electroconvection

Under idealized conditions, electroconvection in a nematic liquid crystal sets in at a well-defined threshold of the driving ac voltage. Fluctuating convection rolls of a small amplitude below that threshold have been observed recently. The measurement of the amplitude of these fluctuations is described in detail in this paper. It is based on averaging the light intensity signals using the structure function and a quantitative analysis of the light deflection.     

从立方抛物线谈起(1)--余弦型振动,椭圆余弦型振动与双曲线型非周期运动

从立方抛物线的特性谈起 ,用较初浅的方法 ,借助于雅可比椭圆函数求椭圆方程的解来说明一大类一维保守系统的余弦振动、椭圆余弦型振动与双曲线型非周期运动 .并以杜芬振子、单摆、倒摆、转动圆环上的小环运动为典型实例作了详细讨论     

Restrictions of Quadratic Forms to Lagrangian Planes,Quadratic Matrix Equations,and Gyroscopic Stabilization

We discuss the symplectic geometry of linear Hamiltonian systems with nondegenerate Hamiltonians. These systems can be reduced to linear second-order differential equations characteristic of linear oscillation theory. This reduction is related to the problem on the signatures of restrictions of quadratic forms to Lagrangian planes. We study vortex symplectic planes invariant with respect to linear Hamiltonian systems. These planes are determined by the solutions of quadratic matrix equations of a special form. New conditions for gyroscopic stabilization are found.     

浅谈大学引领社会发展的途径

阐述了新形势下大学职能的新变化。从为社会培养高素质的人才、进行科研创新以促进社会经济的发展、利用智力优势参与政府政策的制定等方面探讨了大学引领社会发展的各种途径。     

基于GIS的生态功能区划在生态城市建设中的应用——以陕西省凤县为例

在对目前生态功能区划众多方法进行比较的基础上,将GIS技术应用到陕西省宝鸡市凤县生态功能区划中。根据研究区生态环境要素、生态环境敏感性及生态服务功能的差异,把区域划分成四个不同的生态功能区,即北部森林生态重点保护区,中部林、药、养殖、矿产限制开发区,中部粮、椒、果、城镇与贸易重点开发区,南部生物多样性保护与生态旅游区,并综合考虑区域实际情况进行深一步规划研究。