1·Some details in numerical experiment are also presented, such as how to carry out one dimension search, how to set some initial values and how to adjust homotopy parameter.
介绍了在数值试验中一些细节处理，包括如何进行一维搜索，在试验中一些初值的设定，以及同伦参数的调节问题。
2·Homeomorphic morphism and homotopy equivalence are two important concepts in the theory of algebraic topology.
同胚映射和同伦等价是代数拓扑学中的两个重要概念。
3·Using the homotopy analysis method, the approximation solution is obtained.
利用同伦分析方法，得到了该模型的近似解。
4·Using the homotopy mapping theory, a class of nonlinear problems were studied.
利用同伦映射理论，本文研究了一类非线性问题。
5·In this paper the application of homotopy equivalence transformation of topological space sets to the topological classification of states and defects in ordered media is discussed.
该文论述了拓扑空间(组)的同伦等价变换在有序介质状态和缺陷的拓扑分类中的应用问题。