查询词典 algebra

In multilinear algebra one deals with the 'several variables' problem of mappings linear in each of a number of different variables, inevitably leading to the tensor concept.

在实践中与非线性问题的差异是很重要的。用线性观点看待问题，并用线性代数的语言描述它，解决它的方法。

Some important applications of structure matrix in the tensor product multilinear mapping are given. Compared with the method of matrix algebra knowledge, the proposed method enjoys obvious advantages.

给出了结构矩阵在解决张量积多重线性映射问题时的一些重要应用，经过与用矩阵代数知识解决此问题相比较对照，更显示出用结构矩阵解决问题的优越性。

It is not easy to solve the problem of tensor product multilinear mapping if only matrix algebra knowledge is used. The introduction of structure matrix will make this problem much easier to be solved and more acceptable among people.

在解决张量积多重线性映射问题时，只用矩阵代数知识解决问题有些繁琐，而引入结构矩阵来解决张量积多重线性映射问题，不仅能使问题变得更加简单而且更加容易理解接受。

The main topics are: matrix algebra, multivariate normal distribution, discrimination and classification, principle components, factor analysis, canonical correlation analysis.

本课程的主要内容包括矩阵代数、多元正态分布、判别分析、聚类分析、主成分分析、因子分析、典型相关分析。

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。

As two important tools, the weight space decomposition of modules of a nilpotent Lie algebra (Section 1) and irreducible finite dimensional representations of solvable Lie superalgebras (Section 2.3) are presented in detail.

讨论过程中，作为两个重要的工具，对幂零李代数其模的权空间分解(第1节)，以及可解李超代数的有限维不可约表示(第2.3节)也作了详细的介绍。

Some properties, such as primeness, semiprimeness and nondegeneracy are introduced. The primeness and semiprimeness are lifted from a Lie color algebra to its algebras of quotients.

在此基础上，本文提出了Lie color代数的商代数和弱商代数的概念，定义了Lie color代数的一些性质如素性、半素性和非退化性等，并将素性和半素性推广到Lie color代数的商代数中。

Article 144 The Government of the Hong Kong Special Administrative Region shall maintain the policy previously practised in Hong Kong in respect of subventions for non-governmental organizations in fields such as education, medicine and health, culture, art, recreation, sports, social welfare and social

第一百四十四条香港特别行政区政府保持原在香港实行的对教育、医疗卫生、文化、艺术、康乐、体育、社会福利、社会工作等方面的民间团体机构的资助政策。原在香港各资助机构任职的人员均可根据原有制度继续受聘。

Small wonder, then, that the Chinese spend more in the shop than any other group of foreign visitors do .

这样的小惊喜，使中国顾客比任何国家的人消费得更多。