向量

By the procedure, we first use the cosine values of the angle between view vector and normal vector on each vertex as the texture coordinates, through calculation of the dot product of the two vectors. The derivative of radial curvature on the model surface is used as the second pass texture mapping coordinates, by a calculation using Euler formula.

该方法首先通过模型顶点的视线向量和法线向量的点乘积计算其夹角的余弦值，作为第一步的纹理坐标进行映射；再通过欧拉公式计算径向曲率及其方向导数值，作为第二步映射的纹理坐标。

In chapter2 we obtain the constructure theorem and intechange theorem of 2-tournaments.wefind the correlation between the number of 3-cycles and 2-cycles in 2-tournament andits score vector,discuss a class of extreme value problem of tournament,answer partlya open problem posed by Brualdi.

第二章讨论了2-竞赛图和竞赛矩阵的一些基本问题：存在性和结构问题，证明了具有相同得分向量的任意两个2-竞赛矩阵可以通过三角形转换而互相得到，得到了2-竞赛图中2-圈与3-圈的数目与得分向量之间的关系式；讨论了2-竞赛中的一类极值问题，部分地回答了Brualdi〓的一个问题。

By combining the interval mathematics and the finite element analysis, the mass matrix, damping matrix, stiffness matrix and the external loads are represented as interval matrices and vector.

通过结合区间数学和有限元分析，结构质量矩阵、阻尼矩阵、刚度矩阵和外载荷列向量采用区间矩阵和区间向量来描述。

For some shortcomings of unknown quantity numbers in finite element method, QR-method establishes a transformed relationship between a unit node displacement vector and the entire framework of spline node displacement vector,making the structure of the total stiffness matrix, damping matrix, mass matrix directly superimposed in no need of finite element method in the first expansion after the superposition process. So the method greatly simplifies the calculation process and improves computing speed.

针对有限单元法中未知量数目很多的缺点，QR法建立起单元结点位移向量与整个框架样条结点位移向量的转化关系，使得结构总刚度矩阵、阻尼矩阵、质量矩阵可以直接叠加，不需要有限单元法中先扩张后叠加的手续，大大简化了计算过程，提高计算速度。

After comparing Bayes,K neighbors,neural network and support vector machine these four typical text categorization devices,the author builds a text categorization system using support vector machine.

在比较了贝叶斯、K近邻、神经网络和支持向量机四种典型的文本分类器的基础上，采用支持向量机分类器搭建了一个文本分类试验系统。

The foundations of support vector machines are introduced. Four mathematics models of support vector classifications including linearly hard margin SVM, linearly soft margin SVM, non- linearly hard margin SVM and non-linearly soft margin SVM are discussed.

摘 要：介绍了支持向量机的基本思想，依据是否引入核函数，是否具有惩罚因子，支持向量分类算法被分为线性分界面硬间隔、线性分界面软间隔、非线性分界面硬间隔和非线性分界面软间隔四类，并讨论了它们的数学模型。

In this paper, the performance of SVM based on Fourier kernel is studied which aims at the regression in signal processing questions, and the influence of parameter q on performance of SVM is analyzed. A conclusion is drew that the integral of Fourier kernel in one period is a constant and the concept of equivalent kernel function width is proposed.

本文针对信号处理中的回归问题，研究了基于傅立叶核函数支持向量机的性能，并分析了参数q对其性能的影响；根据推导得出傅立叶核函数在单个周期内积分为常数的结论，并提出了等效核宽度的概念；最后的仿真结果证实了，在信号处理领域，采用傅立叶核函数的支持向量机比采用径向基核函数的有着更好的性能。

After finding the free slots to place the vector, the transition vector must be recalculated as follows. Assuming the new place begins at b , the procedure for the relocation is

在找到空闲的位置来放这个向量，转移向量必须重新如下计算，假设新的位置开始于 b ，重新分配的过程如下

Gauss kernel function is widely used in support vector machine because of its good prosperities.

但是支持向量机的参数选择一直是支持向量机研究的难点。

It is one of the important characters of the grey system theory to utilize grey generation modeling. The basis structures of generating space in AGO and in IAGO are respectively obtained by the mathematical research of r-AGO series and r-IAGO series. The results are the following: the coherent and direct expression of the generating basis vector in AGO and r-AGO, the relation expression between two r-AGO series and two r-IAGO series, the relation among generating basis vector, generating series and moving operator.

利用灰色生成建模是灰色系统理论的重要特点之一，通过对r次生成序列（包含r-AGO序列和r-IAGO序列）的数学研究，得到了AGO生成空间和IAGO生成空间的基本结构：AGO和r-AGO生成基向量的统一的直观表达式、任意两个r-AGO序列间与任意两个r-IAGO序列间的关系式、生成基向量生成序列与移动算子间的关系。

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。