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With a partial differential equation can often be described in many different areas of problems.

同一个偏微分方程常常可描述许多不同领域中的问题。

Many problems in science can be eventually presented in the form of partial differential equations. Although the methods used to analyze and calculate the PDEs have particular advantages,they also have some shortcomings that need to be improved.

工程中的许多问题可以归类于求解相应的偏微分方程，传统的分析方法在具有其特定优点的同时，也有值得改进的地方；由于高架桥和轨道系统的复杂性和传统分析方法自身的局限性，运用小波分析这一新的分析方法对其动力响应进行分析，已被越来越多的学者所关注。

Now let's discuss the solution of differential equation of the form y=f, and assume the function f has continuous partial derivative.

1现在讨论型如y=f的微分方程的解，这里假设函数f有连续的偏导数。

As a re-sult, a wide classes of partial differential equations of this form which admit potential symmetries are obtained by systematic classifica-tion methods.

我们通过系统的分类方法得到了一大类允许势对称的这种形式的方程组，并给出了它们的对称群。

The thesis will study the harmonic analysis and also its application of partial differential equation and geometry analysis.

本学位论文将致力于调和分析及其在偏微分方程，几何分析的应用。

There are many approaches for image restoration,the most commonly used are based on partial differential equations or texture synthesis method.

图像修复的方法有很多种，目前最常用的有基于偏微分方程的方法和基于纹理合成的方法。

At last, we present some new progress on harmonic analysis method for partial differential equations.

与此同时，还给出了偏微分方程的调和分析方法这一领域的最新研究进畏。

With examples using VB expression of an order partial differential equations of the numerical method, we wish to offer you some help.

结合实例用VB编程表达了一阶偏微分方程的数值解法，希望能为您提供一点帮助。

Partial differential equation method of imagery processing［M］.

图像处理的偏微分方程方法［M］。

The proposed method is sample and does not need to compute both complex partial differential equation and operator equation of Riccati.

该方法计算简单，无须计算复杂的偏微分Riccati方程或算子Riccati方程。

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。