查询词典 operator algebra

In the same time,from the view point of abstract algebra,the homomorphism between disturbing fuzzy logic operator group and class fuzzy logic operator group is studied.

从而使经典模糊逻辑的概念及性质得到进一步的推广，同时也揭示了在这种由一维到二维的推广中存在的问题。

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 ？

We discussthe propertiesofthe adjoint operator of unilateral weightedshift,prove that is astrongly irreducible Cowen- Douglas operator, and compute the 0 group of the commutant algebra of .

计算了代数я={f：f在开圆D盘上解析，在■上连续}的K_0群，讨论了内射单边加权移位算子的伴随算子的性质，证明了是强不可约的Cowen-Douglas算子，然后计算出的换位代数的K_0群

Difference from other algebraic structures which are introduced for some logic system, Implication Algebra is a abstraction of one logic connective, i. e. implicative operator, and other operators in it are all introduced by implicative operator.

特别值得提出的是，与其它为研究逻辑系统而引入的代数结构不同，蕴涵代数是对一个逻辑联结词，即蕴涵算子抽象而得到的，其它算子均是由蕴涵算子诱导而得到。

About Dirac eigenvalue problem with general two points' liner algebra, corresponding operator of which often is non-self-adjoint operator.

对于一般两点线性边界条件下的Dirac特征值问题，相应的算子一般说是非自伴的。

Nest algebra is an important class of non-selfadjoint reflexive operator algebras, which is the natural generalization of upper triangular matrix algebra in infinite dimensional space.

中文摘要：套代数是一类重要的非自伴、自反算子代数，它是上三角矩阵代数在无穷维空间上的自然推广。

In the front of this chapter,using operator inner-outer faetorization,we reduce the estimation problem to a distance minimization between a certain operator and the nest algebra in question.

本章第一节，利用算子中的内外分解理论以及Banach空间的对偶理论，将估计问题约化为某个算子与讨论的套代数之间的一个距离问题。

For the simplest interactive system of two particles with spin 1/2,the operator of Lie algebra can only realize the transition among the triplets, however, in order to realize the transition between the triplets and the singlet, the operators of Yangian must be involved, that is ,Yangian goes beyond Lie algebra in Quantum Mechanics.

对于最简单的两个-1/2的耦合系统，李代数生成元只能实现其自旋三重态之间的跃迁，而要实现三重态和单态之间的跃迁，必须由Yangian代数中的J 算子所引起，即 J 成为量子力学中超越李代数生成元的算子。

Some other conditions which the implicative operator of a Implication Algebra should satisfied in a logic system are given. The relations between MV-Algebra and Distributive Implication Algebra, Implication Algebra with condition are gained.

对于偏序集上蕴涵代数中的蕴涵算子引入了一些逻辑条件，得到了偏序集上具有不同条件的蕴涵代数与MV-代数之间的关系，给出了偏序集上蕴涵代数与MV代数之间的几个等价定理。

Harmonic oscillator: operator algebra, states.

谐振子：算子代数，态。

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。