向量

Use this algorithm at supporting the preelection of vector to take, can reduce training example number, raise the training rate that supports vector machine.

将该算法用于支持向量的预选取，可减少练习样本数目，提高支持向量机的练习速度。

By initiating the values of vector description for a primitive element, all finite field elements could be generated by continue cyclic shifting, GMW sequences then could be generated by trace function calculation.

通过预置本原元向量表达的初始值，不断的进行向量循环移位来生成有限域中的元素。

II, Polynomial rings on a general field( on contrast of those over a number field): concepts of ring, ideals, field and several special rings as domains, principal ideal domains and unique factorization domains, the unique factorization theory of polynomial rings.

二、一般域上的多项式理论（是数域上多项式理论的推广）：学习环、域和几类特殊结构的环（整环、主理想环，唯一分解环等）的概念，多项式环的唯一分解定理；三、线性代数：讲述一般数域上的向量空间理论（是数域上向量空间理论的继续和推广），模的概念，主理想环上的模的结构及其线性变换的若当标准型等；四、一元多项式的解及域论：学习域扩张及其相关概念，伽罗瓦理论，用伽罗瓦定理判断根式解的存在性。

It is clear that the maximum principal component is mainly made up of the supply frequency component. The subspace II is spanned by the other eigenvectors related to the rest components.

子空间I由信号中的最大主分量和噪声所对应的特征向量张成，子空间II由其他分量的特征向量张成。

A weighted posterior probability method is presented to calculate the probability outputs of support vector machinesfor multi class cases.

中文摘要：为解决传统支持向量机方法不提供概率输出的问题，在支持向量机多类分类问题输出概率建模中，提出了加权后验概率建模方法。

The main topics are: determinants, matrices, rank of a matrix, vector spaces, linear equations, eigenvalues and eigenvectors, quadratics.

本课程的基本内容有行列式、矩阵、向量空间、线性方程组、矩阵的特征值与特征向量、二次型。

Based on data cloud, which is measured from 3-coordinate measuring machine or so, an algorithm to search lopological structure from 3D unorganized points using Envelopment-box technology is proposed in this thesis. Based on this method, we searching neighbor points of sampling point. We also improve the Max-Min angle criteria to realize local triangulation, and then get the normal of sampling point from the triangulation. Using the normal and neighbor relationship, classification of scattered data points is realized according to the quadric surface.

本文以测量得到的曲面数据点点云为基础，提出了一种基于包围盒的自动寻找三维散乱数据点之间拓扑结构的方法，采用该方法寻找采样点的邻域结点，并对三角剖分中的典型优化准则—最小内角最大准则提出了改进，按照改进后的优化准则实现了采样点的局部三角划分，并进一步求解得到采样点的法向量，依据法向量及邻域拓扑关系在二次曲面的基础上实现了散乱数据曲面重构中的数据点的自动分类。

A modified differential evolution algorithm was presented. In the proposed algorithm, the difference vector, which is employed in mutating each individual by simple differential evolution algorithm, was recorded. Each mutated individual was taken as the center of a neighborhood, the corresponding difference vector as radius.

提出了一种改进的差分演化算法，该算法记录下了差分演化算法在对每个个体进行变异操作时的差向量，然后以被变异的个体作为邻域的中心，以所记录的差向量作为邻域的半径，再在这个邻域内进行一次挖掘式的搜索。

Throughcalculation, we find that there are remarkable differences between coding and non-coding sequences, and vector from random sequences is closely related to that fromthe coding sequences.

通过计算，我们发现，编码区和非编码区所对应的4维向量有很大不同，并且随机序列与编码区对应的向量较为接近。

If the pertubation factors in judgments are stochastic,it was proved in this paper that the matrix of GMJ will converge in probability at a consistent positive reciprocal matrix whose vector of priorities is just the geometric mean of the vectors of p...

如果判断矩阵的干扰因子是随机的，文章证明了几何平均综合矩阵将依概率收敛于一个一致性的正互反矩阵，其排序向量刚好是各判断矩阵的几何平均综合排序向量。无疑这对于在群组决策时几何平均综合判断矩阵法的使用是重要的。

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。