英语释义

1. a function that is a one-to-one mapping between sets such that both the function and its inverse are continuous and that in topology exists for geometric figures which can be transformed one into the other by an elastic deformation

片语

transfer homeomorphism转移同胚

local homeomorphismIn mathematics, more specifically topology, a local homeomorphism is intuitively a function, f, between topological spaces that preserves local structure.

unstable homeomorphism[数]

fuzzy homeomorphismFuzzy同胚

differential homeomorphism微分同胚

bicontinuous function同胚；[数] 双连续函数

cr homeomorphismcr同胚

almost homeomorphism几乎同胚

homeomorphism theory同胚理论

minimal homeomorphism[数]

英汉例句

• the homeomorphism classification of graph like manifolds can be transformed into a 2 edge colouring enumeration problem for graphs.

  图式流形的同胚分类可转化为图的一类2-边着色计数问题。

• so studying continuous and homeomorphism on the mapping of quotient spaces plays the vital role to study their nature and we may obtain the very good conclusion and the application of it.

  通过研究商空间之间映射的连续性和同胚性对于研究它们的性质有很重要的作用，所得结论可以得到更好应用。

• in this paper, we investigate the homeomorphism for contract - condensing mappings and monotone mappings by using topological degree.

  用拓扑度研究了压缩-紧的同胚映射和单调的同胚映射。

• in this paper, chaos behavior of two - dimensional differentiable homeomorphism is discussed. a sufficient condition which is easy to check is given.

  本文讨论了二维可微同胚映射的浑沌现象，并给出一个更为直接的，易于验证的充分条件。

• by using homeomorphism method and the extended inverse function theorem, the existence and uniqueness of the solution for the semi-linear pseudoparabolic equations is obtained.

  分别利用全局同胚理论和动力系统理论的一些结论，研究了非线性四阶椭圆边值问题解的存在性与唯一性。

• the definition of operator homeomorphism mapping, together with its characterizations, is given in this paper.

  在算子开集理论中给出了算子同胚映射的概念，得到了算子同胚映射的若干性质。

• in this paper we give the properties and structure of eigenfunctions and eigenvalues of the weakly ergodic homeomorphism on compact system.

  本文给出紧致系统上弱遍历自同胚的特征值与特征函数的结构性态。

• homeomorphism mapping;

  同胚映射；