几何向量

In 1986, H. Gauchman proved another famous rigidity theorem for compact minimal submanifolds in a sphere: Let M be an n-dimensional compact minimal subman-ifold in S~(1), if σ≤ 1/3 holds for any unit vector u ∈ UM, then either σ≡ 0, i.e..

若对任意单位切向量u∈UM，有σ≤1／3，其中σ=‖h‖~2，则σ≡0，即M是全测地子流形；或者σ≡1／3，并且要完全确定这类极小子流形的几何结构。

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。

Firstly, kinetic energy and potential energy expressions are obtained by a series of derivation, considering the extrinsic momentum. In the symplectic system, control equations of longitude and transverse coupling vibrations of rotating elastic structures, or Hamilton canonical equations are described. So the solution of the problem is boiled down to the eigenvalues and eigensolutions in the symplectic space.

首先，从能量的观点出发，通过一系列的理论推导，给出旋转结构的动能和势能表达式，并考虑外动量的影响，从而得到在辛体系中描述旋转结构纵向和横向耦合振动的控制方程，即哈密顿正则方程，于是将问题归结为辛几何空间的本征值和本征向量问题。

In the symplectic geometry space, which consist of the original variables, the displacement, electric potential, magnetic potential, and their duality variables, lengthways shearing stress, electric displacement and magnetic flux, the magnetoelectroelastic solids problems are led into symplectic solution system, so the effective methods of mathematical physics like the separation of variables and symplectic eigenfunction expansion can be employed to solve the problem.

在由原变量-位移、电势和磁势以及它们的对偶变量-纵向的剪应力、电位移和磁感应强度分量组成的辛几何空间，将电磁弹性固体问题导入辛求解体系，从而使有效的数学物理方法如分离变量法及辛本征向量展开法可以用于该问题的求解。

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。

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。

A method to calculate the volume of a computer model by vector analysis is introduced.

用向量几何的分析方法，推导了计算机声学仿真模型体积的计算方法。

Tu kids wall paintings, wall Carex nanella that the growth of moss, that the wires, how would I expect to see and vector geometry.

墙上孩子涂的画，墙边那矮丛生长的苔藓，那&飞檐走壁&的电线，怎么看都会让我想到几何和向量。

Each relevant experiment proved the table of genetic codes has its own permutable pattern from chemical reactants to products , instead of the descriptions in the table of genetic codes .

&密码子的氨基酸意义&破译实验中，将反应物多个不同类核苷酸分子共聚体的空间几何形象描述为密码表中三个字母的直线上单向排列，造成用一维空间刚量描述r维空间向量的数学描述错误。

It can be excluded with data dependent way based on Riemannian geometry for improved SVM.

基于黎曼几何的SVM数据依赖性改进方法能够剔除支持向量携带的冗余信息，改进SVM的性能。

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。