查询词典 operator algebra

Specify what status the spatial operator algebra locates at in many methods of multibody systems dynamics formulations and what the relations are between the spatial operator algebra and other dynamics formulations.We explain the basic conception of the Lie group, Lie algebra and Riemannian manifolds in detail, deeply analyze and research the Special Euclidean Group SE(3) and se(3) in the Lie group, Lie algebra. Establish the relation between the adjoint transformation Adg and the operatorφ(k + 1,k) under a particular condition, substitute the operatorφ(k + 1,k)with spatial adjoint operator Ad kk ?

在多体系统动力学理论体系中，详细阐述了Lie群、Lie代数和Riemannian几何的基本概念，对Lie群、Lie代数中的特殊Euclidean群SE(3)和se(3)作深入分析与研究，建立Lie括号下的伴随变换Adg在特定条件下与空间算子代数理论中的空间变换算子φ(k + 1，k)之间的相互关系，并将空间伴随算子Ad kk ？

Develop the formulation of the the Lie group, Lie algebra and Riemannian manifolds and spatial operator algebra.

建立了Lie群和Lie代数、Riemannian流形与空间算子代数理论联系的模型。

In chapter 2, we study a kind of operator algebra acted on the Hilbert space H which is called the closed weakly reducible maximal triangular algebra, denoted by S.

第二章我们研究了一个作用在Hilbert空间Η上的闭弱可约极大三角代数S，证明了S的系数在Β中的任意阶完全有界Hochschild上同调群H_~nS，Β(Η(n≥1)是平凡的。

The Jacobin matrix of the multi-body system dynamics was studied based on the spatial operator algebra theory,and the realization of the Jacobin matrix procedure was built in the environment of Matahematic5.2 software.The high effective stepping method can be used to compute velocity and static force,and has a simple math expression.

应用空间算子代数理论，在通用计算机符号演算软件Mathematic5.2的环境下，对多体系统动力学雅可比矩阵进行设计与实现，主要用于速度和静力的高效递推算法，用空间算子代数理论求出雅可比矩阵简洁形式，具有编程效率高、直观等特征。

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 study of operator algebra theory began in 30times years of 20 century.

算子代数理论产生于20世纪30年代，是一门比较年轻的学科。

We use our unitary basis on an operator algebra to study of representations of two dimensional functions and discuss certain convergence.

我们使用算子代数上的酉基来研究二元函数的代表，并讨论其收敛性。

How to implement FMP algorithm and FMT algorithm with Mamdani implication operator, algebra product implication operator and Zadeh implication operator are given on the basis of POFI respectively.

首先分别给出了基於POFI方法的Mamdani蕴涵算子、代数积蕴涵运算子和Zadeh蕴涵运算子的FMP算法与FMT算法中寻求推理后件的计算运算式。

Then the interpolation representations of fuzzy controllers with Mamdani implication operator, algebra product implication operator, Zadeh implication operator and implication operator are introduced separately.

然后分别获得了基於POFI方法的Mamdani蕴涵算子模糊控制器、代数积蕴涵运算子模糊控制器、Zadeh蕴涵运算子模糊控制器及加乘运算子模糊控制器的插值表示，由此发现这些模糊控制器具有函数逼近的泛性。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。