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This course offers advanced topics for students who have learned ordinary differential equations. The course includes linear algebra which has topics as matrices, linear systems of equations, eigenvalue problems, vector differential and integral calculus. Fourier series, orthogonal functions, Fourier transforms and partial differential equations will also be introduced.

本课程为提供已有常微分方程式基础的同学修习，内容包括线性代数，矩阵运算，特徵值问题，向量的微分与积分，一阶线性微分方程组，傅力叶级数和正交函数，傅力叶转换，并将对椭圆，抛物线，双曲线型式的偏微分方程式作概略介绍。

This course offers advanced topics for students who have learned ordinary differential equations. The course includes linear algebra which has topics as matrices, linear systems of equations, eigenvalue problems, vector differential and integral calculus. Fourier series, orthogonal functions, Fourier

本课程为提供已有常微分方程式基础的同学修习、内容包括线性代数、矩阵运算、特徵值问题、向量的微分与积分、一阶线性微分方程组、傅力叶级数和正交函数、傅力叶转换、并将对椭圆、抛物线、双曲线型式的偏微分方程式作概略介绍。

Thinking ahead about the other categories of topics your site can support is an all around fail safe in case you decide to switch topics later or if your interests or tastes change.

思想提前约其他类别的主题您的网站能够支持是一所有周围的失败，在安全情况下，您决定转话题后，或者如果您的利益，还是口味改变。

Finally, the paper presents a relatively complete plan for the reform of course system regarding such special topics as projection principles and basic drawing skills, applied foundation of projection graphics and general purpose computer assisted graphics software, mechanical drawing and general purpose computer assisted drawing software, special computer assisted drawing topics, etc.

多媒体计算机辅助教学以其声音、图像、动画、文字为一体的技术特点，为教学手段的现代化及教学课程体系的改革带来了很好的机遇。

The topic can be of any genre, any type and any form of writing, there are no rules to be followed like for other particular genre of topics, the only thing that the writer should keep in mind is the group of people for whom the essay topics are going to be given.

广泛-主题可以是任何类型，任何类型和任何形式的文字，有没有像其他类型的题目，特别是遵守规则的，唯一的作家应该牢记是人民对他们来说，作文题目是将被给予组。

Content of the course consists of:(1)Basic Theories of Polynomials ;(2)Linear Algebra: topics on basic matrix theory, determinant, system of linear equations, vector space, linear transformation, eigenvalue problems, inner product and Euclidean space , and quadratic form etc.;(3) Analytic Geometry: topics on algebraic operations of vectors, coordinates, lines and planes, curves and curved surfaces, etc.

学习本课程后，学生应学会用线性空间与线性变换的观点处理包括线性代数方程组在内的有关理论与实际问题；学会熟练地运用矩阵工具；本课程还学习基本的多项式知识和空间解析几何的基本知识。课程内容包括几个主要部分：（1）多项式代数；（2）线性代数：矩阵，行列式，线性代数方程组，向量空间与线性变换理论，特征值问题，欧氏空间理论，二次型等；（3）解析几何：几何空间向量代数，通过建立坐标系以及借助向量方法研究空间平面与直线及点﹑线﹑面的相互关系，借助曲面方程研究空间曲面，尤其是柱面，锥面，旋转面和二次曲面以及曲面的交线等。

In the second part, there are six special topics separately. They are the main problems of today's media economy reformation. At first sight, they seem to be irrelatively. In fact, in my mind, the six topics are six representative questions of Chinese media economy.

电视传媒现在面临的主要问题有两个，一是中央电视台无比强大，二是地方频道过多过滥，这两个因素是影响电视传媒尤其是地方电视传媒生存的关键因素，令人关注；二、西部报业的发展问题。

At that moment I stopped still, for at no time did the professor ever cut up the lecture into topics and subtopics; nevertheless, the topics and subtopics were neatly packaged and embedded into the seeming onrush of words, waiting to be perceived by the student.

这时候，我突然停了下来，因为教授从来没有把课上的内容分成主要的和次要的。然而，这些主要和次要的内容都整齐地排列和隐藏在看似滔滔不绝的语言中，等待学生们去发现。

Topics covered include: density estimation incorporating such topics as kernel density estimates, nearest neighbor estimates, variable kernel methods, orthogonal series estimates, maximum penalized likelihood estimates

包括：密度估计（如：核密度估计，最近邻估计，可变核方法，正交序列估计，最大补偿似然估计法，带宽选择），非参数回归(如：核方法，样条方法，补偿似然估计，带宽选择，广义可加模型，)和bootstrapping方法。

Topics covered include: density estimation (incorporating such topics as kernel density estimates, nearest neighbor estimates, variable kernel methods, orthogonal series estimates, maximum penalized likelihood estimates, bandwidth choice), nonparametric regression (incorporating kernel methods, spline methods, penalized likelihood, bandwidth choice, generalized additive models), and bootstrapping.

非参数建模专题：非参数建模专题：基于计算机的非参数统计方法论。包括：密度估计(如：核密度估计，最近邻估计，可变核方法，正交序列估计，最大补偿似然估计法，带宽选择)非参数回归(如：，核方法，样条方法，补偿似然估计，带宽选择，广义可加模型，)和 bootstrapping 方法。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。