向量

During the initial partitioning phase of multilevel method, this paper proposed the algorithm of spectral partitioning for weighted undirected graph and gave the Fiedler vector calculation of Laplacian matrix using the Lanczos iteration method.

在多水平方法初始剖分阶段提出了一种基于谱方法的无向赋权图剖分算法SPWUG，给出了基于Lanczos迭代计算Laplacian矩阵次小特征值及特征向量的实现细节。

Firstly, those useless to classify texts are filtered according the category document frequency distribution difference of each feature; and then in order to overcome the limitations of TF-IDF weighting formula a novel weighting formula called TF-CDF is presented . Calculate the weight of each feature according to TF-CDF and build the Vector Space Model for the entire corpus. To select significant features, a feature selection approach based on Variable Precision Rough Set is also proposed and implement with some SQL sentences combining the definitions of VPRS with the advantages of SQL sentences.

该文首先根据特征词的类别分布差异进行特征过滤；然后，分析传统的权值公式TF-IDF的缺点，采用改进的权值计算公式简记为TF-CDF，依据TF-CDF公式计算每个特征词的权值，生成文档集的向量空间模型VSM；接着，提出了一种基于可变精度粗糙理论的特征选择进一步选择对分类贡献度大的特征，并用SQL实现。

The estimation errors, including the finite difference approximation error, the instrumentation channel mismatch error, and the error caused by ambient noise, are studied systematically.

文中基于声信号的空间互谱分析，给出了声强向量阵的定向原理，并系统分析了其定向误差，包括有限差分误差、通道失配误差和环境噪声引起的误差。

Assume the underlying vector space is finite dimensional (therefore issues such as continuity of a projection need not be considered).

假定底层的向量空间是有限维的(因此问题如投影的连续性不需要考虑)。

Based on the engineering structure, three dimensional finite element model is set up by SAP2000N software and its characteristics is calculated by eigenvectors method.

根据实际结构，在软件SAP2 0 0 0N的基础上建立了三维有限元模型，采用特征向量法，得到了该结构的各阶自振频率和模态的理论值。

A dynamical system is just a finite dimensional representation of the system quiver Q with dimension vector .

一个动力系统就是系统箭图Q的一个维数向量为的有限维表示。

This paper proposes s new method to construct wavelets decomposing and reconstructing matrices of wavelet coefficients without iterative calculation in symmetrical extension for finite length signal ,and correspondingly gives the base vectors and basis images of 9/7 wavelet. The matrices can be used for image-partition processing based on wavelet method.

给出了对称延拓方式下有限长信号不需逐级计算而直接得到小波系数的分解矩阵和由这些小波系数重构原信号的重构矩阵的构造方法，并给出了常用的相应于9/7小波的分解矩阵和重构矩阵及其基向量，它们可广泛用于基于小波的图像分块处理中。

The transient air gap magnetic fields under different conditions are also calculated and analyzed. The novel finite element method directly using magnetic induction as unknown variable has many advantage. It is analyzed theoretically in detail. Nonlinear eddy current field equations and finite element equations using magnetic induction as unknown variable are developed.

直线电机的磁场是一非均匀、非线性的涡流场，文中对非均匀磁场及材料的非线性进行了分析，提出了相应的解决办法，采用以向量磁位为求解量的传统有限元法，对不同合闸角下筒式复合次级圆筒型直线感应电机的瞬态特性进行了计算与试验分析，对不同条件下瞬态气隙磁场进行了研究。

Then the detected signal was decomposed into a sum of finite intrinsic mode functions by empirical mode decomposition. The normalized kurtosis value of the main IMF components was analyzed, and the eigenvectors of the detected signal could be extracted.

用动态压力变送器获取了管道的动态压力信号，利用经验模态分解的方法将信号分解为多个固有模态函数之和，选择主要的IMF分量进行归一化峭度分析，从而提取信号的特征向量。

The last chapter talks about the H"yashenko"s two-side cycle theorem, that is, every two-side cycle of an analytic vector field in the real plane is the finite polycycle. The quadratic finiteness theorem is a direct corollary of this theorem.

最后一章介绍了Il'yashenko两边形定理，即实平面上解析向量场的任一两边形均为有限多边环，这个定理的直接推论便是二次系统的有限性定理。

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。