向量和

First, each shape is represented by the eigenvectors of an appropriately defined affinity matrix based on approximated geodesic distance, forming a spectral embedding which achieves normalization against rigid-body transformations, uniform scaling, and shape articulation (i.e., pose changing). This procedure is called the pose-oblivious transform.

首先，针对每一个形状都基于谱嵌入的方法求得其相应的谱嵌入表示，这里的谱嵌入是基于以近似测地距离为基础构造出的仿射矩阵的特征向量得到的，这一过程称为姿态无关变换，经过这一变换，模型的形状的描述符就具备了刚体变换不变、均匀缩放不变和姿态无关的特性。

In this section an intuitive geometric interpretation of the standard support vector machine for classification of both linearly separable and inseparable data are developed, and a rigorous derivation of the concepts behind the geometry are provided.

在这一节中，给出了线性可分离问题和线性不可分离情况标准支持向量机分类的直观解释，并在几何上给出严格的推导。

So Bell inequality and Entropy inequalitycorrespond to distance-related inequality;while partial energy transpositiontransformation and partial time-reversal transformation correspond to thechanges of certain geometrical parameter in vector expression of density matrix;and directly perceivable language description is available in entanglement region.

部分转置变换和部分时间反演变换对应于密度矩阵的向量表示中某些几何参数的改变，而纠缠区域更是可以有直观的语言描述。

This is a more complete graphical method.

本文提出用向量作图法解等角应变花的问题，这是一种比较完整的图解法，只需利用比例尺、三角板和量角器，就可用作图法简捷地得到所求的结果。

A new SVM is presented in this paper to solve the approximately linear separable problem of pattern recognition:First,we transform the two convex hulls which are made up of the approximately separable training set to make them separable;Second,we can figure out a separating hyperplane by halving the nearest points method or maximal margin method;Then,we get the approximately linear SVM by solving the dual problem of maximal margin method.

对模式分类中的近似线性可分问题提出了一种新的近似线性支持向量机：先对近似线性分类中的训练集所形成的两类凸壳进行了相似变形，使变形后的凸壳线性可分，再用平分最近点和最大间隔法求出理想的分划超平面，然后再通过求解最大间隔法的对偶问题得到基于相似压缩的近似线性SVM。

In order to construct the Hermitian matrix,an appropriate pulse in less than 1?ns duration time was generated firstly based on wavelet.

基于小波函数和Hermitian矩阵特征向量，提出了一种产生超宽带正交成形脉冲序列的方法。

Image sequence of images for each frame along the horizontal and vertical direction integral projection formed two integral projection Vector and applications based on the one-dimensional gradient estimated translation technology, thereby obtaining accurate two-dimensional space on the volume of translation.

将图像序列中的每一帧图像分别沿水平和垂直方向进行积分投影形成两个积分投影向量，并应用基于梯度的一维平移估计技术处理，从而精确地获取二维空间上的平移量。

The third chapter discusses and proves Il"yashenko"s Theorem, that is, if every vertex on the polycycle of an analytic vector field in the real plane is hyperbolic, then limit cycles cannot accumulate on this polycycle.

第三章详细讨论和证明了Il'yashenko定理，即平面解析向量场的多边环上每一顶均为双曲奇点，则此多边环附近不能结集无限多个极限环。

The separating hyperplane of traditional support vector machines is sensitive to noises and outliers.

摘要传统的支持向量机分类超平面对噪声和野值非常敏感。

The fuzzy hypersphere support vector machine is proposed for shallow buried target discrimination, and its two aspects, hyperparameter optimization and kernel function selection, are comprehensively studied.

提出了模糊超球面支持向量机浅埋目标鉴别算法，并对FHS-SVM的超参数优化和核函数选择两个问题进行了深入研究。

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。