位势理论

On the Theory of Chemical Bond in Dinitrogen Complexes.

配位势场理论的研究——正八面体场中dn组态的理论分析。

The model is run under the idealized conditions resresenting for the sea-ice diploe in the Okhotsk Sea and the Bering Sea, and the atmospheric forcing is from the data of the winter months i.

参考已有的理论和模拟研究结果，指出高纬地区低空大气的温度变化受直接热力学调整过程的影响明显，对称性响应分量明显，而高层大气温度和各层的大气位势高度变化是由直接热力学调整和间接动力过程响应所共同控制，非对称分量占主导。

This term studies mainly the applications of Theory of covering surface in differential equations, potential theory, complex dynamics and several complex variables, and researches the analysis and geometry properties of random Taylor series and random Dirichlet series.

本项目主要研究覆盖曲面理论及其在微分方程、位势理论、复解析动力系统以及多复变函数中的应用；研究随机泰勒级数、随机狄里克莱级数的分析性质和几何性质。

As known, using the porential theory Green's tormulae and the fundamental solutions wecan reduce the harmonic and biharmonic elliptic boundary value problems to integral equationson the boundary.

我们熟知，利用位势理论或由Green公式及基本解出发区域内调和及重调和边值问题可归化为边界上的积分方程。

Potential theory is used to transfer the exterior boundary value problem into the boundary integral equation of the first kind. A iterated Tikhonov regularization and a modified Tikhonov regularization are presented to solve the integral equation.

利用位势理论将外边值问题转化为第一类边界积分方程，再分别利用迭代的Tikhonov正则化方法和改进的Tikhonov正则化方法求解积分方程。

The main results and novelties of the paper are as follows:Firstly, we study the existence of nontrivial solution for the following nonlinear equations with singular pontential By using variational methods and critical point theory, we construct linking type critical value of this kind of singular elliptic equations, with the properties of the eigenvalue, we estimate the critical value and prove the local condition holds to show the existence of the nontrivial solution.

论文的创新点及主要结果如下：首先研究有界区域上具有奇异位势的非线性方程的非平凡解的存在性，运用变分方法与临界点理论，构造这一类奇异椭圆方程的环绕型临界值，并由特征值的性质给出临界值的估计，同时证明局部条件成立，最终证明方程非平凡解的存在性。

A theoretical study of potential energy of solid surfaces and a deeply discussing of the influence of the adsorbed gases in the solid surfaces to the process of absorption and desorption were given.

从分子之间的作用力和分子之间相互作用的能量的角度对真空科学中表面吸附的位势理论进行了理论研究，并深入地探讨了固体表面吸附的气体分子层对气体的吸附与脱附的影响。

This article introduced the grey potential energy theory and achieved a new method of fault diagnosis in transformer.

首先介绍灰色位势理论，然后提出了一种基于灰色位势理论的变压器故障诊断算法，给出了利用该算法进行故障诊断的基本步骤，最后用一个实例验证该方法的正确

We prove the con-vergence of this method using potential theory and discuss the approxima-tion of finite dimension space.

利用位势理论证明了该方法的收敛性，并讨论了有限维空间的逼近，为数值计算提供了理论依据。

In chapter 4,we introduce the basic properties for pluripotential theory and results about the existence of weak solutions. Then we prove the existence of weak solution in some special domain which is not strictly pseudoconvex.

第四章我们先介绍多重位势理论的一些基本知识，然后介绍复Monge-Ampere方程在严格拟凸域上的已有的两个重要结论，之后讨论一类特殊的非严格拟凸域上复Monge-Ampere方程弱解的存在性。

This paper discusses design and realizable methods of remote test output interface from logical design angle.

本文从逻辑设计的角度讨论遥测输出接口的设计及实现方法。

This also 星体投射plies to buildings, structures and geological features.

这也适用于建筑物和地质特征。