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1·It is a partial differential equation satisfied by the electric field e.

这是一个，由电场e确定的偏微分方程。

2·It is a new method to generate surfaces with partial differential equation (PDE).

用偏微分方程(PDE)构造曲面是一种新兴的曲面造型方法。

3·Partial differential equation is widely used in problems of science and engineering.

偏微分方程在科学和工程上有着广泛的应用。

4·The partial differential equation is solved by Alternating Direction Implicit algorithm.

采用交替方向隐式算法求解偏微分方程。

5·At last, an application of this problem in partial differential equation is also discussed.

最后，给出了上述问题在偏微分方程方面的一个应用。

6·And a partial differential equation is some relation between its partial derivatives. Let me see.

而一个偏微分方程就是，函数各个偏导之间的联系，看看。

7·This paper discusses a new partial differential equation model for resolution enhancement of image.

讨论一种新的图像分辨率增强的偏微分方程模型。

8·A partial differential equation is an equation that involves the partial derivatives of a function.

偏微分方程就是，跟函数各个偏导数有关的方程。

9·Basically, to every problem you might want to consider there is a partial differential equation to solve.

总的来讲，所有你想解决的问题，都可以用偏微分方程来做。

10·And just to tell you again that is a strange partial differential equation relating these two vector fields.

再说明一下，这是关于这两个向量场，多少有点奇怪的偏微分方程。