给出了灰拓扑群的定义及有关定理。
In-this paper the definition and theorems of grey topological groups are introduced.
给出了未确知拓扑群的定义及有关定理。
The definition and theorems of unascertained topological groups are introduced.
推广了已有拓扑半群或者拓扑群的一些结果。
Thus the corresponding results related to topological semigroups or topological groups have been generalized.
从而获得每个（QU）型模糊拓扑群均可借助于群上的一个模糊复合伪范数来刻画的新特征。
Obtained a new character that each fuzzy topological group of tope (QU) is descried in terms of a composite fuzzy pseudonorm of a group.
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.
本文通过群作用和正则覆盖，利用拓扑刚性定理对此问题给出一个判定性条件。
By the use of group action and normal covering we give an answer in some conditions from topological rigidity theorem in this article.
建立GM（1，1）灰色拓扑模型群，通过结论分析，表明该模型在年径流预报中为一种较为理想的方法。
Setting up GM(1,1) grey topological model groups and through analyzing conclusion, it indicates that such model is a kind of comparatively ideal method in predicting annual surface flow.
本文证明了：群、欧几里得空间、距离空间和拓扑空间的公理系统的独立性。
It has been proved that the nature of independence exists in the axiomatic system of Group, Euclidean space, distance space and topological space.
本章通过实验仿真研究、验证蚁群算法中各参数的作用，并得出根据特定的拓扑确定蚁群算法中各个参数的步骤。
In ant colony algorithm, the choices of parameters play an important role for the performance of algorithm. Parameters will be different along with the change of topology.
本文主要研究右迁移单迁移线性半群、迁移单迁移线性半群和拓扑迁移半群。
In this dissertation, we mainly consider transitive linear semigroups and topologically transitive linear semigroups of M_n (c).
利用C -半群的概念，引入一新的局部凸向量拓扑，并对其基本性质以及在新的局部凸线性拓扑意义下c -半群的性质进行初步研究。
By using the C-semigroup of bounded linear operator, a new locally convex vector topological is introduced, and some propositions of it are given.
簇群成员节点和簇头的通信方式与簇群的拓扑结构决定整个簇群的能量消耗速度。
The whole cluster energy consumption was decided by the communication pattern and topology of cluster.
利用有界线性算子半群，引入了一新的局部凸向量拓扑，并对其基本性质进行了讨论。
By using the semigroup of bounded linear operator, a new locally convex vector topological is introduced, and some propositions of it are given.
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.
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.
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