查询词典 algebra

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。

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。

Voiculescu independently in 1980s, is one of the important research subjects in operator algebra theory.

Voiculescu在上世纪八十年代几乎同时独立定义的，目前已成为算子代数理论中的重要研究对象之一。

In this thesis the research comes from the spatial operator algebra, the theories are investigated in a high level.

在实际工程领域和具体算例中运用这一理论，以证明该种方法的高效率和高精度。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。