向量和

The method first analyses the wave decompound traffic data, sets up support vector machine model separately on basic signals and disturbing signals of different resolving rate, then compounds several forecasting results, finally the traffic forecasting result is obtained. With examples, the result shows that the model has relatively lower error rate and quite reliable.

首先对交通量数据进行小波分解，然后分别对基本信号和不同分辨率的干扰信号建立支持向量机模型，最后对多个预测结果进行合成，从而得到交通量的预测结果，并利用实例计算显示模型具有较低的误差，证明了该方法具有很好的可靠性。

For any dimension vector , there exist the generic decomposition, and a dense and closed subset V of system space R〓 corresponding to this decomposition such that, for each dynamical system M∈V, every indecomposable summand of M thus M is clear.

对任意的维数向量，存在一般分解，以及系统空间Rm，n，p中稠密的开子集V，并且我们对V中每个系统的不可分解直和项知道得很清楚，进而对V中每个系统也非常清楚。

Compared with traditional methods, the method in this thesis does not need to find all the eigenvalues and eigenvectors of a system, and to do diagonalization.

与常规方法相比，本文的方法不需要求系统全部特征值和特征向量，也不需要对角化。

We then diagonalize the matrix C and obtain the eigenvalue spectrum and eigenvectors. The large eigenvalues which go beyond the upper bound of the random matrix, i.e., the Wishart matrix, reflect the local correlations between stocks. The largest eigenvalue corresponds to the market mode, and next large eigenvalues represent the interactions between stocks in a same sector.

进一步，通过对角化，我们得到矩阵C的特征值谱和特征向量，超过随机的Wishart矩阵特征值谱上边界的特征值反映了股票间的局域关联，其中最大的特征值对应于市场模式，其余的次大特征值代表了同一板块内股票间的相互作用。

As the special characteristic of nonlinearity, several notions are introduced and used in this paper, such as differential manifold, vector field, diffeomorphism, tangent space, topological equivalence. Stable manifold and unstable manifold are also introduced.

针对非线性的特殊性，本文专门介绍了非线性中几个比较特殊的概念，如微分流形、向量场、微分同胚、切空间以及等价关系等，对稳定和不稳定流形也作了介绍。

This method doesn't require differentiable function, and has the advantage of faster convergent speed, the ability of optimization within global scope and the independence between eventual optimized paramaters and initial SVM paramaters.

该方法降低了对性能函数连续且可微的要求，收敛速度快，最终优化解与支持向量机的参数初始值无关。最后，通过仿真实验表明了该方法具有更高的分类和回归准确率。

Geometry of Manifolds analyzes topics such as the differentiable manifolds and vector fields and forms.

流形上的几何学讨论的问题是微分流形，向量场和微分形式。

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。

Support vector machine; pattern recognition; nonlinear system modeling; the law of oil and gas distribution; curve fitting

支持向量机，模式识别，非线性系统建模，油气分布规律，试井曲线拟和

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。