查询词典 Lie algebra

Color image sequence is presented by multivectors in geometric algebra,it is proved that if meet the constrained conditions for color optical flow analysis,a multivector instead of multichannel image processing method can be used to represent the continued distribution of images to expand the measurement range.

在几何代数域内对彩色图像序列用多重矢量表示，证明了彩色光流场分析时进行约束条件时的测量问题，通过多重矢量而非多通道的图像处理方法来表示图像连续特性，从而扩大了测量范围；然后依据物体色彩在运动过程中保持不变的原理，在几何代数域内推导了彩色图像序列的光流约束方程及其解法。

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

Nilpotency of a table algebra depends on that of their table subsets and quotient subsets, which is not fully corresponding to extension problems of nilpotent groups.

同时会发现该条件在表代数幂零性的判别方面并不完全对应于幂零群的中心扩张。

In this paper we give the concept ob approximation nilpotent alternate algebra,and sduty the relation ot nipotency and solvability to the approximation nilpotency .

在这篇文章中给出了交错代数的近似幂零性的概念。并且，讨论了交错代数的幂零性、可解性与近似幂零性之间的关系。

It is shown that sequences operations to implication distance in a normed lattice H implication algebra are bounded.

最后得到了在赋范格H蕴涵代数中的数列对于蕴涵距离是有界的结论。

Motivated by Baker\'s result, we introduce a functional index‖E‖_∞to prove that if a mapping f which is from a normed space to a normed algebra satisfying‖ab‖=‖a‖‖b‖satisfies that‖E‖_∞is bounded,then either f is bounded or f is exponential.

受到Baker的结论启发，通过引入一个泛函指标‖E‖∞，证明了从赋范空间到满足范数可乘性的赋范代数的映射f，只要满足‖E‖∞是有界的，则f要么是有界的，要么是指数的。

This course provides a basic introduction of topics such as: interpolation, solution of nonlinear equations, curve fitting to measured data, numerical linear algebra, numerical integration, numerical differentiation, etc..

本课程介绍内容包括：内插法，非线性方程式求解，曲线近似法，线性代数数值运算，数值积分，数值微分等课题。

Due to its wide application in science technology, solving nonlinear multiple variants equation by numerical methods is one of the basic problems in numerical algebra.

由于在科学技术中的广泛应用，多元非线性方程组的数值求解一直是数值代数的基本问题之一。

Using Matlab and its Add-ons Simulink, through establishing simulation maths model, the paper integrates open chain vector equation, numerical value simulation (computing velocity and displacement while given acceleration) and matrix algebra, etc.

利用MATLAB及其附加软件Simulink，通过建立仿真数学模型，综合开环矢量方程、数值仿真(在加速度已知时计算速度和位移)、以及矩阵代数等来完成机器人动态仿真，对所研究的机器人运动学分析结果进行验证，结果基本一致，为机器人的后续研究，如动力学，控制等奠定基础。

The one to one correspondence between values system and action selections informs a mapping between two spaces. The mapping link is the foundation for algebra analysis.

人们依据特定价值观集合的回报与成本做出选择，价值观体系和行为选择存在一个对应的关系，形成了两个空间的映射。

The witness also told the jury at the Royal Courts of Justice in London that he saw a paparazzo fighting with a member of the public who was trying to stop him taking pictures in the minutes before the emergency services arrived.

他还告诉在伦敦皇家法庭的陪审团，在急救服务到来之前，他当时看见一个狗仔队正和一群阻止他拍照的人打架。

The entire N／C program on a tape is made up of an accumulation of these successive data blocks.

纸带上的整个数控程序由这些连续数据单元连接而成。