The homotopy operator of difference complex is an important result.

差分复形的同伦算子是文章的一个重要结果；

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.

Homotopy is a concept of algebra topology, and homotopy algorithm has been applied to solving the practical problems.

同伦是代数拓扑学中的概念，同伦算法已应用于一些工程实际问题的求解。

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。

Using the homotopy mapping theory, a class of nonlinear problems were studied.

摘要利用同伦映射理论, 本文研究了一类非线性问题.

Homotopy is a measure of all the different ways a loop can get caught.

利用同伦，我们便能量度究竟有多少种方式可以阻碍一个迴圈的收缩。

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.

We utilized the combined maximum entropy homotopy method to solve the general nonconvex nonlinear programming problems.

利用组合极大熵同伦方法,研究一般的非凸非线性规划问题.

By Lee symmetry of the theory, the approach is given to select the auxiliary operator of a linear in homotopy analysis method.

本文通过李对称的理论给出了同伦分析方法中选取辅助线性算子L的一个方法。