本文对有关互连网络拓扑等价的分析方法作了简单评述。
Various methods for analysing topological equivalence of multistage interconnection networks (MIN's) were reviewed briefly.
本文提出了互连网络拓扑等价的图分析法和描述网络逻辑名结构的逻辑名矩阵。
The graph analysis method for topological equivalence of interconnection networks, and the concept of logical name matrice for describing logical name structure are proposed.
本文主要讨论了由范数引入的2 -范数所产生的拓扑，给出了该拓扑与范数拓扑及弱拓扑等价的条件。
In this paper, we mainly discuss the topology of 2-norm determined by norm, we give the conditions on which the 2-norm topology and the norm topology, 2-norm topology and weak topology are equivalent.
本文对一致空间上的群作用，用等度连续性刻画了几乎周期的性质，并且论证了一致等度连续的群作用拓扑等价于一等距的群作用。
We characterize almost periodicity with equicontinuity, and prove that if the group is uniform equicontinuous then it is topologically equivalent to an isometric one.
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。
Secondly, in order to favor utilizing this theorem, several propositions are given on the homotopy equivalence between two topological space sets.
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。
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.
本文赋予超空间2x局部有限拓扑，并讨论此空间的一些局部覆盖性质。证明2 X中的某些覆盖性质等价于局部性质。
In this paper, we discuss some local covering properties of 2 X with locally finite topology, and prove that some covering properties are equivalent to local properties in 2 X.
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。
On uniformly continuous function space U(G), Equivalence of invariant mean and topological invariant mean is showed by two methods.
在这篇文章中我们讨论了一个半序集的内禀拓扑之间的关系及其等价性。
This paper discusses the relations and equivalency between the intrinsic topologies in a partially ordered set.
等价关系和距离的提升与超拓扑，商拓扑，拓扑熵间的关系。
The Relation Between Elevation of Equivalence Relation, Elevation of Distance, Hypertopology, Quotient topology and Topological Entropy.
摘要在L-拓扑空间中，定义了超分离性，并给出它的一些等价刻画，讨论了它们的性质。
In L-fuzzy topological spaces, ultra separation axioms were defined, some characterization of them were gvien, and their properties were discussed.
图对称理论刻画了网络中的对象(顶点和边)之间在拓扑结构上的等价关系。
Graph symmetry theory de-scribes the equivalence relationship on topological structure between graph objects (vertices and edges).
利用拓扑分析方法给出延伸集与延伸极限集的等价定义及它们是连通的条件。
The equivalent definitions of the first prolongation and the prolongational set of a set are 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。
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.
同胚映射和同伦等价是代数拓扑学中的两个重要概念。
Homeomorphic morphism and homotopy equivalence are two important concepts in the theory of algebraic topology.
利用单位分解，给出了多面体上连续自映射的拓扑压的函数定义，并证明了它与拓扑压的标准定义是等价的。
The topological pressure of a transformation is expressed in terms of partitions of unity. Its equivalence to the standard definition is showed.
本文讨论树映射的拓扑熵，得到树映射具有正拓扑熵的几个等价条件。
In this paper we discuss the topological entropy of a tree map and obtain several equivalent conditions for a tree map with positive topological entropy.
此外，还得到了树映射是强非混沌以及逐片单调树映射的拓扑熵为零的几个等价条件。
Furthermore, we also obtain a few equivalent conditions which a tree map is strongly not-chaotic and a few equivalent conditions which a piecewise monotone tree map has topological entropy zero.
作为结果，我们在没有凸结构的一般拓扑空间中给出了它的两种等价形式。
As a consequence, two equivalent formulations of the nonempty intersection theorem are obtained.
作为结果，我们在没有凸结构的一般拓扑空间中给出了它的两种等价形式。
As a consequence, two equivalent formulations of the nonempty intersection theorem are obtained.
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