位势

Introduce the concept of random regular function and random potential function at first, a necessary and sufficient condition of random potential function for denumerable Markov chain in random environment is provided, and the unique decomposition property of nonnegative random super-regular function is discussed.

首先引入随机位势函数的概念，给出随机位势函数的一个首要条件，进而讨论非负随机上调和函数的唯一分解性。

The traditional virtual boundary integral expression is based on the extension of single layer potential, for the integral formulas related to single layer potential for parabolic problem, the numerical computation of the exponential integral function is unavoidable.

通常的虚边界积分公式是利用单层位势的延拓来建立虚边界元积分方程，但对带时间变量的单层位势，要涉及到指数积分函数的计算。

Firstly, the eigenvalue problem of a class of second order elliptic equation with critical potential and indefinite weights is considered. Then, using critical point theory, Trudinger-Moser inequality and the properties of the first eigenvalue, we prove the existence of a nontrivial solution for a class of nonlinear elliptic with critical potentialand indefinite weights in R~2. Secondly, we prove the existence of nontrivial solutions for a class of subcritical and critical elliptic systems with indefinite part in R~2 byusing a generalized linking theorem, Trudinger-Moser inequality and concentration-compactness principle.5. The existence of at least three weak solutions for discrete boundary value problem is established by using a three critical point theorem introduced by Ricceri.

首先，讨论了R~2中一类带不定权且含临界位势的二阶椭圆型方程的特征值问题，并借此特征值问题的第一特征值性质，利用山路引理及Trudinger-Moser不等式，证明了R~2中一类带不定权且含临界位势的非线性椭圆型方程非平凡解的存在性；其次，利用广义环绕定理，Trudinger-Moser不等式及集中列紧原理，得到了R~2上一类具有强不定部分的半线性椭圆型方程组在非线性项分别为次临界增长和临界增长情形下非平凡解的存在性。

The structure of potential wells and some properties of depth function of potential well are given.

给出了位势井的结构和位势井深度函数的性质。

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

The Variation of Atmospheric Latitudinal wind and disturbed geopotency of one class stems from the hearting of Ocean to Atmosphere and Kelvin wave. Latitudinal wind and disturbed geopotency of second class are affected by direct heating and short Rossby wave.

大气零阶的扰动位势和纬向风速的变化来自于海洋对大气加热的直接作用和海洋加热所产生的Kelvin波，而二阶的扰动位势和纬向风速则不仅受到海洋加热直接作用的影响，也受到Rossby短波的制约。

Chapter 5 and 6 are concentrated on the fundamental problem how to con-struct finite-dimensional and infinite-dimensional Liouville integrable Hamiltonsystem.Starting from two isospectral problems,Tu's scheme is applied to gen-erate the corresponding CKdV hierarohy and coupled Burgers hievachy,andthey are shown to be Liouville integrable Hamilton systems.Two spectral prob-lems,which contain three and four potentials respectively,are also studied byTu's scheme.Two new Liouville integrable Hamilton hierarchy are estab-lished.A new general approach using Lenard's gradient sequence is presentedto obtain Lax integrable hierarchy and their zero curvature representation,andsome examples are given.The nonlinearization procedure is applied to theeigenvalue problem of coupled Burgerrs hierarchy.It is shown that underBargmann constraint,the spatial part of the Lax pairs is nonlimearized to be afinite-dimensional Liouville completeiy integrable Hamilton system.

第五、六章研究如何从一个谱问题出发构造可积发展方程族及其零曲率表示、Hamilton结构和判断Liouville可积性：通过对二类具有2个位势的等谱问题直接研究，利用屠格式生成了耦合KdV族和耦合Burgers族，并证明它们均为Liouville可积的广义Hamilton方程族；而通过分别具有3个和4个位势的等谱问题，遵循屠格式构造了二族新的Liouville可积的广义Hamilton方程族；给出了利用Lenard梯度递推序列产生发展方程族及其零曲率表示的一种方法，作为应用，讨论了CKdV族，BPT族及耦合Burgers族的产生及其零曲率表示；应用非线性化技巧，证明了在Bargmann约束下，耦合Burgers族的Lax组可被线性化为Liou-ville完全可积的Hamilton系统。

In this paper, we use 500hPa geopotential height to study the abnormal disturbance for the North-ern Hemisphere poleward of 20°N summertime from 1957 to 1979, special focusing on persistent anom-alies which persistent time are longer than that of synoptic scale variability.

本文利用23年夏季3个月的500hPa位势高度场，对20°N以北的热带以外地区的位势高度异常进行了分析，着重研究了持续时间超过天气尺度扰动时间（大约1周）的持续异常。

The competition ability of a port is mainly decided by its capability of transhipping the hinterland cargoes.

将区位势概念模式运用到港口区位与腹地相互关系，建立了港口区位势的数学模型，定量分析港口区位发展潜力和竞争力。

We also used the latent heat daily data、sensible heat daily data、relative humidity data and OLR daily data from NCEP-DOE Reanalysis2 which formed as 2.5-degree latitude x 2.5-degree longitude global grid with 144x73 points(1982～2005). The data of subtropic high ridge offered by Bational Climate Center . With singular value decomposition analysis, we studied key region of ocean-atmosphere interaction in the mid-latitudes in the Pacific. Second, by using wavelet analysis to study the character of the key regions of SST.Moreover the correlation analysis can help us to understand the reason of the cold water formed and the physical process of ocean-atmosphere interaction in the mid-latitudes in the Pacific. There are three mostly SVD modes which contribution reach to 70%,So the three mostly modes can reflect the mostly structure in the key region.

采用奇异值分解方法对1982～2005年逐候SSTA场和500hPa位势高度场进行同期、大气超前海洋、大气滞后海洋的分析，确定中纬度西北太平洋海气相互作用的关键区；利用小波分析对关键区海温和副高脊线进行周期分析，深入了解研究区域海温和副高脊线的年际、年代际变化特征；通过关键区海温与500hPa位势高度距平场的相关分析，研究中纬度西北太平洋SST异常与副高位置异常的关系；针对2005年夏季关键区SST异常与副高脊线位置异常开展海气相互作用物理量分析和大气环流分析，探讨关键区SST异常对副高位置异常的可能影响过程。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷