向量代数

Real space-time ; multivector ; algebra ; set pair analysis ; contact number ; spinor ; manifold

实空间；多重向量；代数；集对分析；联系数；旋量；流形

The course content includes ordinary differential equation, linear algebra, vector calculus, Fourier analysis and partial differencial equation partial differential equation, with the aim to train students in establishing an exact perception to the meaning of theory, calculation and experimentation.

课程内容有常微分方程，线性代数，向量微积分，Fourier 分析及偏微分方程式等章节，训练同学在理论，计算及实验间建立正确的认知及意义。

Some important properties of singular value vector of color face image were proved, and then it was extracted as algebraic feature and applied to color face recognition.

首先证明了彩色图像的奇异值向量具有代数和几何不变性；然后将其提取为图像的代数特征并应用到人脸识别中。

In Kac-Moody algebra, if the given element is a real root vector or in Cartari subalgebra, there exists an element such that they can generate the algebra.

在Kac-Moody代数中，如果预先给定的元素属于Cartan子代数或者是实根向量，能够找到它的配对生成元。

This method is based on tensor and tensor algebra. To utilize the multidimensional data of the remote sensing image, the vector-based learning machine is generalized to the tensor-based learning machine which accepts tensors as input, then the convex optimization theory and the alternating projection procedure are used to get the solution of the TLM.

该方法基于张量数据模型和张量代数运算，针对遥感影像数据多维或高维的特点，将基于向量的监督法学习机扩展为基于张量的监督法学习机，然后利用凸函数最优化理论和交互投影迭代法求得张量学习机的最优解。

Vector is one of the important and basic concepts in modern mathematics. It is also a tool that links up algebra, geometry, and trigonometric.

向量是现代数学中重要和基本的数学概念之一，它是沟通代数、几何与三角函数的一种工具，有着极其丰富的应用背景。

Basic linear algebra in MATLAB . Vector and matrix addition and multiplication. Solving sets of linear equations using matrices.

使用MATLAB软件中的基础线性代数、向量和阵列的加法与乘法，以及使用阵列解决多组线性方程式。

We first show that the multiple harmonic Ritz values have only one harmonic Ritz vector associated with them in algebra.

用代数方法证明对每个重调和Ritz值，只有一个线性无关的调和Ritz向量与之对应。

The book review first vector and matrix algebra, the basic concepts and then described in detail geometry involved in a variety of two-dimensional graphics and three-dimensional geometric measurement of the object, the intersection of various algorithms and other issues, and provides information on the theme of a large number of computational geometry materials in order to facilitate quick reference.

全书先复习了向量和矩阵代数的基本概念，而后详细地描述了图形几何学涉及的各种二维和三维对象的几何测量、相交等问题的各种算法，并提供了关于计算几何学主题的大量材料以便于快速参考。

This article analyses the Vector Space Model based on Algebra, and expands the model: expresses the index terms with minterm in order to reflect the relationship between terms, uses singular value decomposition to present the semantic structure of documents.

本文分析了代数理论的向量空间模型，并对该模型进行了扩展：用最小项标引词以反映词与词之间的关系，用奇异值分解来捕捉文献的语义结构；最后对这三种模型进行了比较。

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。