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In this paper we review some recent progress on the nucleation of zeros and the structure of the nodal sets of the complex-valued solutions of Ginzburg-Landau system for superconductivity and of more general partial differential equations with magnetic Schrodinger operator.

本文考察了近年来对超导的Ginzburg-Landau方程复值解的零点的产生与零点集的结构的研究进展，也考察了含有磁Schrodinger算子的更一般的偏微分方程的相关问题。

Keywords: complex partial differential operator;spectrum;wavelet

中文关键词：复偏微分算子；谱；小波

In the third chapter, we discussed the problem about partial differential equation with small parameter on the high-order item.

第三章主要对小参数在高阶项的偏微分方程进行讨论，也就是一般意义上的边界层问题。

Lumped parameter systems are described by ordinary differential equations; while distributed parameter systems are described by partial differential equations.

传递函数的定义为系统在零初始条件下，其输出信号的拉氏变换与输入信号拉氏变换的比值。

The paper expounded internal difference between 0/0 of the derivative and of algebra, and discussed in detail the dual nature of 0/0 about algebraic substance of derivative on the basis of the philosophical thought about the concept of the differential quotient of Marx and Engels, and thus answered how derivative itself is converted to differential quotient logically.Then the discussion was extended to the Concept of the partial derivative, and proved that the form of differential quotient converted f...

本文依据马克思、恩格斯关于微商概念的哲学思想，阐述了代数的0/0与导数的0/0的内在差异，并详细讨论了导数的代数实体0/0的双重性质，从而回答了导数本身是如何合平逻辑地转化为微商的问题；其次，把这一讨论推广到偏导数的概念中去，论证了偏导数转化为微商形式的合理性，以及偏微商表述的意义，文中还就微商所牵涉到的形式逻辑与辩证逻辑的问题做了具体分析。

The paper expounded internal difference between 0/0 of the derivative and of algebra, and discussed in detail the dual nature of 0/0 about algebraic substance of derivative on the basis of the philosophical thought about the concept of the differential quotient of Marx and Engels, and thus answered how derivative itself is converted to differential quotient logically.Then the discussion was extended to the Concept of the partial derivative, and proved that the form of differential quotient converted from pa...

本文依据马克思、恩格斯关于微商概念的哲学思想，阐述了代数的0/0与导数的0/0的内在差异，并详细讨论了导数的代数实体0/0的双重性质，从而回答了导数本身是如何合平逻辑地转化为微商的问题；其次，把这一讨论推广到偏导数的概念中去，论证了偏导数转化为微商形式的合理性，以及偏微商表述的意义，文中还就微商所牵涉到的形式逻辑与辩证逻辑的问题做了具体分析。

The differential scattering cross sections, partial wave scattering cross sections and total scattering cross sections for collisions between He atoms and HCl molecules are calculated by using CC(Close-Coupling) method under three different potential models, respectively. And the results of the calculation are compared detailedly.

针对He-HCl碰撞体系的三种不同势能模型，采用公认的精确度较高的CC近似方法，分别计算了He-HCl体系的微分散射截面、分波散射截面和总截面；并对计算结果进行了比较和详细地分析。

The differential and partial wave scattering cross sections of Ne-H2(D2,T2) collisions have been calculated by close-coupling approximation method using Tang-Toennies potential model at the incident energy of 83.8 meV.

使用密耦近似（Close-Coupling）方法、采用Tang-Toennies势模型计算了惰性气体原子Ne与H2分子及同位素D2分子在碰撞能量为83.8 meV时的微分散射截面及分波截面，并与实验值和文献值进行比较。

Similar method may be applied in other types of partial differential equations.

类似的方法还可以用在其它类型的偏微分方程数值解中。

The use of Partial Differential Equations in image processing is a new research topic.

偏微分方程在图像处理中的应用是一个比较新的课题。

For the head-teacher of the class said that I had seriously broken the school rules,which led me to a three-day suspend class.

为什么呢？因为我的班主任说我严重的违反了校规，于是让我停课三天。

Many of them believe that the conversion of thousands of working-class folk in England spared that nation from the mass carnage and the tyranny that came with the revolution in France.

他们之中有许多人相信，在英国数以千计的劳工阶级之悔改信主使英国免於遭受如法国大革命所造成的大屠杀和专制暴政。