On uniformly continuous function space U(G), Equivalence of invariant mean and topological invariant mean is showed by two methods.
设G为局部紧群，在一致连续函数空间U（ G）上，用两种方法证明左不变平均和拓扑左不变的等价性。
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。
This paper discusses the relationship between quasi-concave and pseudo-convex in the generalized convex function in the Linear topological space and offers some conditions of equivalence.
讨论了线性拓扑空间上广义凸函数中的拟凸与伪凸之间的关系，并给出它们之间的一些等价条件。
In this paper, we research region automata, zone automata and the method of state space minimization based on history equivalence and bisimulation transition.
本文主要研究了域自动机方法、带自动机方法以及基于历史等价和转换互模拟的最小化方法。
Secondly, in order to favor utilizing this theorem, several propositions are given on the homotopy equivalence between two topological space sets.
其次，为使此定理的应用变得直接简便，我们还给出了关于拓扑空间（组）之间同伦等价的几个命题。
The equivalence principle and moment method are used to derive the expression of equivalent magnetic current in the main cavity excited by the plane wave in the half-space.
利用等效原理和矩量法导出了由半空间中平面波在主谐振腔中激励的等效磁流的表达式；
The equivalence of attribute neural networks and attribute coordinate space is proved, and a method of numerical value inference is provided for attribute inference.
同时证明了属性神经网络与属性坐标系的等价性，从而为属性推理提供可操作的数值推导方法。
It is showed that the loop space functor and the suspension functor preserve the properties of homotopy regular. And a series of homotopy equivalence Spaces are constructed.
证明了闭路函子和同纬函子保持同伦正则性，同时构造出了一系列同伦等价的空间。
In Chapter 1, the space of families of pair of convex sets is introduced, which is the quotient space of the set of families of convex sets under suitable equivalence relations.
第1章介绍了凸集类对空间理论，及基于凸集类对空间理论介绍了广义拟可微函数的部分微分理论。
In Chapter 1, the space of families of pair of convex sets is introduced, which is the quotient space of the set of families of convex sets under suitable equivalence relations.
第1章介绍了凸集类对空间理论，及基于凸集类对空间理论介绍了广义拟可微函数的部分微分理论。
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