树脂温度分布、强度解析、拓扑学设计服务
Plastic thermal distribution, stress analysis, and topology design services
他的主要工作是在拓扑学和概率论 。
His main work was in topology and the theory of probability.
这个公理化模糊了与拓扑学的联系。
This axiomatization obscures the connection to topology.
正是在此信中指出，用"拓扑学"似乎第一次。
It is in this letter that the word "topology" appears for the first time.
它在集合论 ，拓扑学 和其他领域是一種重要的方法.
It is an important proof technique in set theory, topology and other fields.
域理论以非常一般化的方式形式化了逼近和收敛的直觉概念，并与拓扑学有密切联系。
Domain theory formalizes the intuitive ideas of approximation and convergence in a very general way and has close relations to topology.
前七位获奖者均因在拓扑学上的工作得奖。
The first seven prize winners were awarded for works in topology.
首先，拓扑学是数学的一个分支，它关注物体的基本属性。
First of all, topology is a branch of mathematics that focuses on fundamental properties of objects.
拓扑学中的其中一个基本问题涵括了对于拓扑空间（如球面）之间的连续映射之探讨。
One of the fundamental problems of topology consists of understanding continuous maps between topological spaces, such as the spheres.
拓扑学是数学的一个分支，通常用来描述一些逐步变化的性质。
Topology is a branch of mathematics that describes properties of objects.
关于模态逻辑的课本典型不太多提及它与布尔代数和拓扑学研究的联系。
Texts on modal logic typically do little more than mention its connections with the study of Boolean algebras and topology.
他继续进行研究，在拓扑学和集理论的结果，但不能在德国出版。
He continued to undertake research in topology and set theory but the results could not be published in Germany.
在一般拓扑学中被称为依赖于选择公理的很多其他定理实际上等价于BPI。
Many other theorems of general topology that are often said to rely on the axiom of choice are in fact equivalent to BPI.
在拓扑学和数学分析中，滤子被用来定义收敛，类似于序列在度量空间空间中所扮演的角色。
In topology and analysis, filters are used to define convergence in a manner similar to the role of sequences in a metric space.
在拓扑学中，我们经常考虑两 拓扑空间 X 与 Y 之间的映射。 我们不在这里给出定义，不过，您可以把 X 和 Y 分别想成是（举例而言）n 维和 p 维的球面。
In topology we often consider maps between topological spaces ? X and Y. We won't give the definition here, but you can think for example that X and Y are two spheres of dimension n and p.
例如，在欧几里德度量 Z n 中，只有r 2 可以写成整数 的n 平方和时，半径r 的球面才是非空的。 拓扑学 ［ 编辑 ］
For example, in Z n with Euclidean metric, a sphere of radius r is nonempty only if r 2 can be written as sum of n squares of integers. Topology Edit
他的主要工作，但是，在拓扑学，特别是在理论的流形。
His main work, however, was in topology, particularly in the theory of manifolds.
在拓扑学中，开集和闭集是对偶概念：开集的补是闭的，反之亦然。
In topology, open sets and closed sets are dual concepts: the complement of an open set is closed, and vice versa.
在拓扑学 中，n 球面定义为与（n + 1） 球体的边界同胚的空间；因此它与欧几里德n 球体同胚 ，但可能缺少其度量 。
In topology, an n -sphere is defined as a space homeomorphic to the boundary of an (n + 1) -ball; thus, it is homeomorphic to the Euclidean n -sphere, but perhaps lacking its metric.
纽曼将近四十岁，与J.H.C.怀特海一起，作为英国拓扑学最著名的倡导者。
Newman, then nearly forty, was with J.H.C. Whitehead the foremost British exponent of topology.
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