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The main objective of this course is to supply different methods to analyze partial differential equation and its applications.

本课程主要目的是介绍偏微分方程式与机械系统，电路系统的关系，并教授各种分析偏微分方程式的方法。

Therefore, in view of utilizing the best information distilled from the observational data, the traditional method of solving differential equation, of course, is not perfect.

因此从充分利用预测数据中包含的信息来看，传统的求解微分方程预测未来的方法显然是有缺陷的。

This course is meant to bring graduate students who will be using ideas from differential topology and differential geometry up to speed on these topics.

本课程的目的是让需要使用微分拓扑和微分几何的研究生能在这个方向上尽快入门。

Furthermore,this course is benefitial to study differential topology, Riemannian Geometry, Lie group and Nonlinear Analysis etc.

为进一步学习微分几何、微分拓扑、几何分析、黎曼几何、李群、低维拓扑和非线性分析等相关课程奠定良好的基础，并为阅读当代数学文献创造条件。

This course is suitable of students who have mastered infinitesimal calculus, linear algebra, set topology, differential geometry of curves and surfaces.

微分流形己成为现代数学研究的基本对象，是联系经典数学和当代数学文献的桥梁。

Of course, the difficulty is great.

当然难度也是很大的。

Its essence is the course of knowledge diffuseness.

其本质是知识的传播与扩散的过程。

Of course, the most important thing is that baby likes to drink the best, easy to digest.

当然，最重要的是宝宝喜欢的，喝了容易消化的才是最好。

Of course, the premise is that you have the network of digital certificates.

当然，前提是你公司有网上办公的数字证书。

This course mainly introduces the basic concept, principles and processing techniques of digital signal processing.

本课程主要介绍数字信号处理的基本概念、基本原理和处理技术。

Salt is good, but if the salt becomes flat and tasteless, with what do you season it?

14：33 盐本是好的，盐若失了味，可用什么叫它再咸呢？

He reiterated that the PLA is an army of the people under the leadership of the Communist Party of China.

他重申，人民解放军是在中国共产党领导下的人民军队。