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列紧空间

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We prove the fuzzy set-valued characteristicfunction of a compact Baire fuzzy set can be approached by fuzzy set-valuedcontinuous functions with fuzzy compact support sets,the integral of integrablesimple Baire fuzzy set-valued function can be approached not only by the integralsof integral simple fuzzy set-valued functions,but also by the integrals of fuzzy set-valued continuous function with fuzzy compact support sets.

定义了诱导空间上具有模糊紧支集的模糊集值连续函数,说明了它与分明的具有紧支集的连续函数的关系,证明了紧贝尔模糊集的模糊集值特征函数可以用具有模糊紧支集的连续函数列来逼近,可积简单贝尔模糊集值函数的积分可以用可积简单模糊集值函数的积分来逼近,还可以用具有模糊紧支集的模糊集值连续函数的积分来逼近。

Fuzzy sequentially compact set in fuzzy normed space was defined and the relations between fuzzy sequentially compact set and fuzzy total bounded set were studied some properties of topolisical space were generalized to fuzzy topolisical linear space.

在模糊赋范空间中给出了列紧集的概念,并对于模糊列紧集与模糊全有界集之间的关系作了进一步的研究,使得与分明的情况基本上协调起来。

We introduce the notion of fuzzy-valued continuous function on a compact set K in a metric space, and discuss its properties; On this base, we study the uniformly d∞-convergence of a sequence of fuzzy-valued continuous function on K. We prove that the space of fuzzy-valued continuous functions on K, i.e. C(K, E1), is a complete metric space with respect to the metric D.

引入了定义在某度量空间的紧子集K上的模糊数值连续函数和水平连续函数的概念,讨论了它们的某些性质;在此基础上,研究了K上模糊数值连续函数列的一致d∞-收敛性,证明了K上模糊数值连续函数空间C(K, E1)关于度量 D 构成一个完备的度量空间。

Chapter 3, in the above system, gives out the definitions of topological new transitivity, topological transitivity, topological strong transitivity and topological conjugate of a sequence of maps, studies basic properties of the above topological conjugate, and obtains some main results, proves topological new transitivity and topological transitivity are equivalent u-under a compact metric space, a sequence of full maps and interchangeable with each other, and that some conclusions associated with topological conjugate.

第三章,在上述系统中给出了一列映射的拓扑新传递、拓扑传递、拓扑强传递和拓扑共轭的定义;研究了一列映射的拓扑共轭的基本性质,得到了一些主要结果;证明了在底空间是紧致度量空间、一列映射是满映射并且两两可交换的条件下拓扑新传递和拓扑传递是等价的;还证明了几个与拓扑共轭相关的结论。

推荐网络例句

Objective: To study the effect of polycythemia on blood oxygen saturation.

裴蕾目的:观察RBC剧增而引起的高粘血症对血氧饱和度的影响。

Based on SIMPLER algorithm in the curvilinear body-fitted coordinates, the calculations were performed for Pr=0.7, Re=10~1000 on non-orthogonal non-staggered grids which are generated by elliptic equation systems.

采用曲线坐标系下压力与速度耦合的SIMPLER算法,数值研究了周期性渐扩渐缩波纹通道内脉动流动与换热情况,流动Re数的范围为10~1000,Pr数为0.7。

Such a traditional division of the zone of aeration is useful for illustrative purposes.

为了说明的目的,包气带的传统划分是有用的。