向量

Given the training data the algorithm estimates mean vectors and covariation matrices for every class and then it uses them for prediction.

当给定了训练数据，算法将会估计每一个类别的向量均值和方差矩阵，然后根据这些进行预测。

Through calculating the generalized dimension by covering the signal with n-dimension boxes, three dimension feature vectors including the box dimension, the information dimension and the correlation dimension are got.

首先利用覆盖法求取广义维数得到该语音信号的三维特征向量，包括容量维数、信息维数、关联维数；然后计算信号的维数特征距离；最后根据特征距离对语音信号类别进行决策分类。

About ten years later, the Cray 1 supercomputer required highly optimizing compilers to allow traditional programs to make use of the machine's vector registers, and thus achieve supercomputer performance.

大约10年以后，巨型机Cray 1需要高度优化的编译器，使传统的程序能够利用该机器的向量寄存器，来提高巨型机的性能。

The coordinate transformation and numerical integration was executed on the discretized tetrahedral elements based on which the 3-D MT vector-finite element method was implemented. A whole computation framework for 3-D vector-finite element method with unstructured mesh was given. Based on this some typical models were tested which has demonstrated that our algorithm could distinctively avoid problems caused by the fake solution and both the accuracy and efficiency were enhanced which made our algorithm has a bright future for further application.3. According to theory of Sobolev vector space and the discretization of Helmholtz space, the error estimate which was suitable for 3-D MT vector-finite element modeling was deduced by which the procedure of adaptive technique was guaranteed.4. Based on the fully unstructured tetrahedralization and optical strategy, the 3-D magnetotelluric h-adaptive vector-finite element method was presented through combining the error estimate. With this work, the accuracy and creditableness for 3-D MT complicatedly modeling was guaranteed.5. The 3-D magnetotelluric h-adaptive vector-finite element algorithm with unstructured mesh was implemented.

针对非结构化的四面体单元，采用坐标变换和数值积分方法，实现了MT三维矢量有限单元分析，建立起基于非结构化网格的三维MT矢量有限元计算流程，并对典型模型和国际标准电磁模型进行了数值模拟，结果对比和分析表明，基于非结构化网格的三维MT矢量有限元不仅消除了节点型有限元的伪解，而且具有很高的计算精度和速度，有广阔的应用前景。3、根据Sobolev函数的向量空间和Hemlholtz空间的分解，推导出基于残差的三维大地电磁矢量有限元后验误差估计公式，为三维大地电磁自适应矢量有限元数值模拟的实现奠定了基础。4、在完全非结构化四面体单元剖分及优化基础上，结合三维大地电磁矢量有限元后验误差估计公式，提出了基于非结构化网格的三维大地电磁h-型自适应矢量有限元计算策略，保证了对复杂大地电磁模型数值计算的精度和可靠性。5、实现了基于非结构化网格的三维大地电磁h-型自适应矢量有限元计算流程，对典型模型和国际标准电磁模型进行了数值模拟。

The Vector Product node applies a Cross Product operation to the two vectors to multiply them together.

VectorProduct节点赋予一个积操作等到两个向量相乘的结果。

The article analysed the foreign trade effect to macroscopical economy through metric analysis method, the VAR model that uses vector to be returned to oneself will be opposite income of foreign trade amount, import total, export total, finance and foreign currency exchange rate undertake VAR is returned to, reach the; of cross correlation relation of many variable answered function to analyse the long-term and harmonious relationship between foreign trade and reform economic norms through concussion.

本文通过计量分析方法分析了进出口贸易对宏观经济的影响，运用向量自回归的VAR模型来对进出口贸易总额、进口总额、出口总额、财政收入和外汇汇率进行VAR回归，得出多个变量的互相关联关系；通过冲击响应函数分析了进出口贸易和改革经济指标间的长期均衡关系。

COV gathers can also be constructed through selecting traces from different cross spreads of a 3D survey. A simple and practical way of constructing COV gathers can he described as that 1 when a dominant receiver line direction is determined, the inline offset and crossline offset of every trace can be calculated; 2 the inline offset and crossline offset ranges fruit; negative to positive for the whole dataset can be well represented by the range of the receiver spread of a typical source; 3 the full range of inline offsets can be divided into several sob ranges using twice the source line spacing and the full range of crossline offsets can be divided using twice the receiver line spacing; and 4 one sod; sob-range inline offset and one such sob-range crossline offsets form a COV gather.

一个简便实用的构造COV道集的方法是：在给定检波线的走向后，计算出每一地震道的inline炮检距和crossline炮检距；用观测系统中一个具有代表性的炮点的检波器排列范围来确定整个数据的inline炮检距范围和crossline炮检距范围，用两倍的炮线间距把inline炮检距的范围分成若干份，用两倍的检波线间距将crossline炮检距的范围也分成若干份，一份inline炮检距和一份crossline炮检距就构成一个炮检距向量道集。

Chapter 2 introduces some propaedeutics of classic differential geometry, which include the first basic form, the second basic form, normal curvature, main curvature, mean curvature, Gauss curvature, unit normal vector, main vector, etc.

第二章介绍一系列的预备知识，主要是关于古典微分几何中第一，第二基本形式的定义，法曲率，主曲率，平均曲率，Gauss曲率，单位法向量，主方向等的定义。

Principal curvatures and principal directions are obtained by computing in closed form the eigenvalues and eigenvectors of certain 3×3 symmetric matrices defined by integral formulas, and closely related to the matrix representation of the tensor of curvature.

通过计算3×3对称矩阵的特征值和特征向量可以得出主曲率和主方向，而该对称矩阵是由积分公式定义并且与曲率张量的矩阵表达密切相关。

And obtain that compact submanifolds with parallel mean curvature vector must be totally geodesic.

以及具有平行平均曲率向量的紧致子流形的全测性质。

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。