查询词典 algebra

In order todiscuss the structure of operator algebra, in recent years, many scholars have focusedon linear maps and various multiplieative maps on opcrator algebras, and studied thealgebraic and geomrtrial properties and the problem of classification of these mapsMany deep and intercepting results have been achieved, and many new ideals and meanswas introduced.

为了进一步探讨算子代数的结构，近年来国内外许多学者对算子代数上的线性映射和各种可乘映射进行了系统研究，探讨这些映射的代数和几何性质以及刻画分类问题，取得丰富成果并不断提出新的思路和方法。

The study of operator algebra bagan in 30times of 20th century. Though compary with some other theory it is relatively new, but it has unexpected application in some mathematic theory and other subject, such as quantum mechanics, noncommutative geometry, linear system, contral theory, number theory and some other important branches of mathematics.

算子代数理论产生于20世纪30年代，它在数学和其他学科中都有着出人意料的应用，它与量子力学，非交换几何，线性系统，控制理论，数论以及其他一些重要数学分支都有着广泛的联系和相互渗透。

The study of operator algebra theory began in 30s of the 20th century: With thefast development of the theory, now it has become a hot branch playing the role ofan initiator in modern mathematics. It has unexpected relations and inter infiltrationswith quantum mechanics, noncommutative geometry, linear system and control theory,number theory as well as some other important branches of mathematics.

算子代数理论产生于20世纪30年代，随着这一理论的迅速发展，它已成为现代数学的一个热门分支，它与量子力学，非交换几何，线性系统和控制理论，数论以及其它一些数学分支有着出人意料的联系和相互渗透。

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。

179Banach Algebra Techniques in Operator Theory, Ronald G. Douglas180 A Course on Borel Sets, S.M.

Borel集是集合论和逻辑学的重要概念，本书介绍完备可分的测度空间的Borel子集，内容从基本的集合论概念到描述集合论的公开问题。

In Part Ⅱ, we first propose a unified approach via Liouville space operator algebra to revisit various conventional QDTs.

这一部分包括第四到第九章。

Harmonic oscillator: operator algebra, states.

谐振子：算子代数，态。

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。

Operator precedence follows the rules of algebra and may be altered by the use of parentheses.

操作符先要按照代数法则并且它可通过用来更改计算优先级。

The research of these subjects has related to pure and applied mathematics such as algebra, geometry, operator perturbation theory, matrix anal-ysis, approximation theory, multivariate linear modeling, optimality principle and quantum physics etc.

对它们的研究涉及到基础数学与应用数学的许多分支，诸如代数学、几何理论、算子扰动理论、矩阵理论、逼近论、优化理论与量子物理等。

I think people in this lifetime in a rebirth.

我觉得人在这一生里其实也在轮回。

He had to tie her hands together.

他不得不把她的双手绑在一起。