查询词典 stable homotopy group

In this thesis we study largely two problems in the context of the φ-mapping topological current theory proposed by Prof. Yishi Duan, ranging from inner structure of homotopy in algebraic topology to topological excitations in the atomic Bose-Einstein condensates.

本论文在段一士教授提出的φ映射拓扑流理论框架内研究了两个问题：代数拓扑中同伦理论的内部结构，及原子玻色-爱因斯坦凝聚体中的拓扑激发。。。。

For example, we study the properties of the"centroid curve" and the"auxiliary curve", and identify two planes in which these two curves are defined respectively; we also use the idea of homotopy method to prove a fact that the orbit of a differential system has no triple contact point with the line we considered. Another key technique, which we use several times, is deformation argument.

例如研究由Abel积分之比定义的"质心曲线"和"辅助曲线"的几何性质，并把这两条在不同平面上定义的曲线放在同一坐标系中考虑；利用拓扑中同伦的思想来证明微分系统的轨线不可能与某条直线三重相切；利用几何方法与分析计算相结合证明了某一曲线是正则的；以及连续变动参数的技巧。

The idea is to construct a homotopy connection of the identification based on ARMAX model with the one based on ARX model.

由于用以估计 ARX模型参数的误差函数是单峰的，因而没有局部最小点问题，这就使得有可能利用它们之间的同伦关系来解决 ARMAX模型参数的估计中的局部最小点问题。

This book is a comprehensive study of the relationship between a model category and its homotopy category.

这本书是一项在一个模型种类和它的homotopy 种类之间的关系的全面的研究。

The algorithm takes advantages of wavelet analysis and homotopy inversion method. It shows high capability of global search.

算法结合小波反演和同伦反演的优点，数值结果表明其具有较强的全局搜索能力。

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。

The main consideration is how to determine the minimal fixed point number in the sense of homotopy.

主要是研究在同伦的意义下，如何确定拓扑空间自映射的最少不动点个数。

In this chapter, we study these different homotopy forms and tell the subtle connections and differences with affluent examples.

本节通过对粗几何领域内不同同伦实现方式的研究辨析，指出它们之间的细微差别与联系。

Why is it hard to show two spaces are not homotopy equivalent?

原译：为什麼说明两个空间不是同伦等价很难？

First, widely convergent homotopy method is applied to the inversion process of operator identification.

首先，将大范围收敛的同伦方法引入到了算子参数识别反演过程，给出了同伦反演方法的一般形式。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。