向量

As the center or the Algebra subalgebra of a algebra plays an important role in reducing the number of state variables, the cartan subalgebra is a maximum Abelian subalgebra of an algebra, so it can be a powerful tool for the structure simplification of control systems.

由于代数的中心，或交换子代数在系统的变量降低方面具有重要作用，而Cartan子代数是李代数的极大交换子代数，因而它能成为简化系统结构的有力工具，第二部分利用向量场的积分曲线所定义的映射，构造出一个S—坐标，在该坐标下任一向量场都有一个标准的表示方法，一种无穷级数表示方法。

On the whole, we do as follows: Firstly, we list some conceptions and lemmas for later use. Secondly, we inducted the absolute value norm in the two-dimensional vector interspace, and also proved the two-dimensional vector interspace is a Banach Interspace. Thirdly, we define two-dimensional vector-valued functions on a interval by the definition of -fine partitions in part 1. Then, some sufficient and necessary conditions of integrabel are given, and discuss the property of the integral on two-dimensional vector-valued functions.

主要包括以下内容：在第一部分，我们介绍了本文所用到的几个基本概念和引理；第二部分，我们在二维向量空间中引入了绝对值范数，并且证明了二维向量空间是一个Banach空间；在第三部分中，通过第一部分关于-精细分划的定义，我们给出了在某区间上二维向量值函数积分的定义以及可积的充分必要条件，并讨论了二维向量值函数积分的一些性质。

In view of the the difficulty of mixture gas's characteristic absorption spectrum line overlapped, a novel seriatim mixture gas recognition method based on Support Vector Machine two classes classification and recognition model was presented.

针对混合气体种类光谱识别中组分气体特征谱线重叠严重的问题，将支持向量机用于混合气体种类光谱识别中，提出了一种基于支持向量机二值分类识别模型的逐一混合气体种类识别方法。

Some nonexistence results for p-degenerate sub-elliptic first order evolution inequalities associated with the generalized Baouendi-Grushin vector fields are given. The method is an improvement of the admissible function method in Euclidean space. The proof hardly depends on the properties of the generalized Baouendi-Grushin vector fields.

通过改进欧氏的容许函数法，应用广义Baouendi-Grushin向量场的一些性质，选取特殊的容许函数，利用Hlder不等式和Young不等式，证明了由广义Baouendi-Grushin向量场构成的p-退化次椭圆一阶发展不等方程，在适当条件下非平凡弱解的不存在性。

This paper presents a real-time alga classifier designed for flow-cytometry-based marine alga monitoring systems.

提出了一种基于支持向量机和支持向量域描述的赤潮藻类分类系统。

Determinants and their properties are also introduced. After review of the algebraic structure of the Euclidean space, the algebraic vector space then will be studied.

再复习欧几里德空间的一些代数性质与几何，然后学习向量空间与向量空间的性质。

The representative points of positive case support vectors and negative case support vectors in sample set are defined, the measure and eigenfunction between sample x and y allusiveness from initial space to eigen space under a kernel function k are researched, and a correlative theorem with demonstration is given.

定义了样本集中的正例支持向量和反例支持向量的代表点，研究了原始空间样本x，y在核函数k映射下在特征空间中的x，y映象之间的度量和特征函数并给出了相关的定理及证明。

Then gives judging the vector linear relevance by the value of determinant, the order of matrix, the solution to uneven sublinear system of equations, Cramer principle, linear substitution, the theory of matrix and so on in the linear space and Ou Shi space, produces 13 equivalences of the vector linearity relevant under the dissimilar condition, and elaborates the widespread application of the vector linearity relevant through concrete examples.

在线性空间、欧氏空间中给出了运用行列式的值、矩阵的秩、齐次线性方程组的解、Cramer法则、线性变换、矩阵理论等知识来判定向量的线性关系，及不同条件下向量线性相关性的十三个等价命题，并通过具体例题阐述向量线性相关性的广泛应用。

The main purpose of this paper is to propose a unsupervised clustering-based method to pre-extract the support vector for training the SVM in light of the theory that the classification facet of SVM is determined by support vector only. By analyzing the limitation existed in current multi-class classification methods, and taking into account comprehensively the separability of the class set of nodes, a hierarchical classification method of SVM binary tree based on tree classifier with optimized overall performance is designed.

针对SVM的分类面仅由支持向量决定的理论，提出一种基于无监督聚类方法来预抽取支持向量，训练向量机；并分析现有多类分类方法所存在的弊端，基于综合考虑节点的类集合可分性，设计一种基于树分类器整体性能最优的SVM二叉树层次分类方法。

However, by giving different linearly independent vectors to the Gram-Schmidt process, the resulting class-label vectors will be different and so do the corresponding discriminants. That is, the solution of multi-class MSE is not unique and may not be the optimal.

但是，给予不同的线性独立向量，多类别最小平方误差区别会解出不同的类别标签向量，因而所求出的区别向量也会不同，此方法所求出的解可能并不是最佳解。

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。