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1·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。

2·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。

3·The homotopy algorithm, basing on homotopy mapping, is convergent with wide range.

基于同伦映射的同伦算法，具有大范围收敛性。

4·This paper deals with the problem of identifying ARMAX model using homotopy approach.

论述了采用同伦法辨识armax模型的问题。

5·Based on idea of homotopy mapping, an improved gradient regularization algorithm was developed.

基于同伦映射的思想，改进了求解非线性反问题的梯度正则化算法。

6·Using the homotopy analysis method, the approximation of the solution for the model was obtained.

利用同伦分析方法，得到了该模型解的近似展开式。

7·A homotopy continuation algorithm is proposed to deal with parallel computation for this eigenvalue problem.

首次将连续同伦算法应用于非对称广义特征值问题的并行求解，提出并行连续同伦算法。

8·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。

9·Results Generalizing some results of homeomorphic morphism, homotopy equivalence and homotopy regular morphism.

结果推广了同胚映射、同伦等价和同伦正则态射的有关结果。

10·A time stepping scheme is used for the transient analysis and a homotopy method is adopted to solve the process.

时域上采用精细算法进行离散，并应用同伦算法进行求解。

同伦

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。