英汉词典

1.The invariant space has to be as well a deformation of a classical space, a deformation that makes it noncommutative.

这些不变的空间同样也是经典空间的变形，它们通过这种变形成为非对易空间。

2.Rules can also be used for commutative and noncommutative algebra.

规则可以用于交换和非交换代数。

3.Encyclopedia of Mathematical Physics, Complex Geometry; Differential Geometry; Low Dimensional Geometry; Noncommutative Geometry.

复几何；微分几何；低维几何；非交换几何（英文影印版）

4.Indeed, noncommutative geometry has arisen in at least three distinct but closely related contexts in string theory.

实际上在弦理论中，非对易几何自然地出现在至少三种不同而又密切相关的背景里。

5.The proposed research direction of black holes and cosmology on noncommutative spacetime has also led to unexpected productions.

关于非对易时空中的黑洞和宇宙学的研究方向也取得了意料之外的成果。

6.In the first paper of the second part , it studies two dimensional noncommutative Lie algebra and its solvability, completeness and nonsemisimplicity and so on .

在第二部分第一篇论文中，我们系统研究了二维非交换李代数及其全形的可解性、完备性与非半单性等性质。

7.In Chapter 1, briefly introduce the concept of noncommutative space and nori-commutative field theory, review the history and important results of studying the noncommutative soliton solution.

第一章，简要介绍非对易的概念及非对易场论，回顾前人在非对易孤子解方面的研究。

8.In the recent year, more and more physical problems on the noncommutative background are regarded as important for people with the study of the quantum Hull Effect and the string theory.

近几年，随着对量子霍尔效应和弦理论的研究，越来越多的非对易背景上的物理学问题引起人们的重视。