向量和

Instead of using a single term vector as event representation, the terms into four semantic classes are split(names, temporal expressions, spatial terms and contents) according to the semantic diffirence of them, form four vector spaces, and process and weigh the classes separately.

该方法没有使用传统向量空间模型中的单个向量，而是按照语义将特征词划分为4个组（人物，时间，地点，内容）并形成4个向量空间，每个空间进行独立的权重计算和相似度计算。

And designs a new algorithm which can judge whether or not a given nonnegative integral vector corresponds to a friable trasition sequence. Then the algorithm is used to analyze the reachability of net system which has unique reachable vector or has no T-invariants.

4对可达性与可达方程可满足性相互等价的证明进行补充，给出一个判定非负整数向量是否为可执行向量的判定算法，最后利用该算法对唯一可达向量网和不含T-不变量的Petri网的可达性进行判定。

In this thesis, we mainly study the theory of vector optimization in three aspects: the spectral scalarization of Euclidean Jordan algebra vector optimization, the robust methods for solving uncertain multiobjective linear optimization problem and the application in game theory.

本文共分四章，主要致力于向量优化三个方面的研究：欧几里德若当代数向量优化的谱标量化、不确定多目标线性优化问题的鲁棒方法和向量优化在对策论中的应用。

Such as seeking the solution of inverse matrix and maximum unconcerned system of linear equations,and solution of matrix equation,proving equation of system of vectors,and judging the linear independence of system of vectors,etc.

可以用来求逆矩阵，求向量组的极大无关组，证明向量组等价，解线性方程组，解矩阵方程和判断向量组的线性相关性，等等。

Can be used to inverse matrix, and Vector Group's nothing to do great group that Vector Group equivalent, of linear equations, and the judgement of the matrix equation Vector Group's linear, and so on.

可以用来求逆矩阵，求向量组的极大无关组，证明向量组等价，解线性方程组，解矩阵方程和判断向量组的线性相关性，等等。

In the solution process, the basis vectors can be obtained from the matrix perturbation or the Neumann series, and then the Epsilon-algorithm was used to obtain the approximate eigenvectors.

在求解过程中，利用Neumann级数产生基向量，然后用Epsilon算法求出近似特征向量，最后用Rayleigh商分析，求出了修改后结构的近似特征值和特征向量。

In this paper, some decision theorems are suggested about the matrix orthogonal problem on the subspace of the finite dimensional Euclidan subspace. In addition, some concise results are obtained by matrix representation of the orthogonal complement and injection of vectors on the subspace.

利用向量组的Gram矩阵和向量的坐标矩阵对有限维欧氏空间中子空间的正交性给出了矩阵判定条件，对子空间的正交补及向量在子空间上的内射影给出了矩阵表示，获得了一些简捷有用的结果。

In chapter one,we discuss tournament matrices that can not end in tie and theyare(0,1)-matrices,we first obtain a better lower bound for the number of regulartournament matrices,then we discuss the payoff matrix of tournament matrix,obtainsome properties of positive tournament matrices,a correlation between the spectralof a tournament matrix and its payoff matrix.We find serveal conditions that areequivalaent to a tournament matrix having 1 as its a eigenvalue.

第一章讨论不允许平局的竞赛矩阵-（0，1）-矩阵，得到了正则竞赛矩阵数目的一个下界，它改进了文献〓中已有的结果；在文献〓的基础上进一步讨论了正竞赛矩阵的性质，给出了利用已知平衡向量构造新平衡向量的方法；讨论了竞赛矩阵和它的支付矩阵的特征值之间的关系；指出了文献〓中的一个错误，回答了文献〓中的一个公开问题，得到了整数1为竞赛矩阵的特征值的充要条件及这种矩阵的谱根与得分向量之间的关系。

The generalized reliability of single failure mode component and unit structure under different kinds of uncertainty factors is treated perspicuously and classified. Combined with the three class fortify standard of aseismic design code,the conception of reliability vector of structures and systems with intermediate state before failure is put forward, and the calculation model of reliability vector with three stage working modes of "safety-intermediate-failure" and the operation rules of reliability vector of the simple aseismic engineering systems composed by structures are established.

针对各种不确定性因素下的单失效模式构件和单体结构，进行了广义可靠性的明晰化分类处理，结合抗震设计规范的三级设防标准，提出了具有中介状态结构与系统可靠性向量概念，建立了具有"安全-中介-失效"三级工作模式的可靠性向量计算模型，及其由结构组成的简单抗震工程系统的可靠性向量运算规则。

In this paper,a new algorithm is given by means of the complexification of the knots,i.e. the node in the plane is considered as a complex point,the vector as a complex vector,and then based on the construction of vector valued Thiele type rational interpolants and the backward three term recurrence relation for vector valued continued fractions,the recursive algorithm is obtained by appropriate transformation.

文章利用插值型值点复数化的方法讨论并给出了二元向量值有理插值的一种新算法，即把平面上的插值结点视为一个复数，所对应的向量视为一个复向量，使用一元Thiele型向量值有理插值公式的构造方法和向量连分式的向后三项递推关系式以及适当的变换，最后导出了这种递推算法。

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。