紧集

可数Fuzzy紧集的性质

Properties of Countably Fuzzy Compact Sets

文中证明了是E中的一个紧集。

Is a compact subset of E.

C（X）空间中列紧集的一个充要条件

The necessary and sufficient condition of series-compact sets in C ( X ) spaces

关于强F紧集

On strong fuzzy compact sets

一类Banach空间中列紧集的描述

Description of Relatively - compact Subset of a Banach Space

而本文讨论是在正规拓扑空间X中的相对紧集A上考虑的，因此使得研究的结果更具有广泛性。

Our phase spaces are relatively compact sets of a normal topology space X , thus the results are more general .

L－fuzzy拓扑空间中近良紧集的刻画

Some Characterizations of Near N-compact Sets inL-fuzzy Topological Spaces

紧集上布朗单水平集的Hausdorff维数

The Hausdorff dimension of the level sets of compact sets for a Brownian Sheet

Hausdorff拓扑线性空间内紧集与非紧集上的U.D.C.映射与不动点

U.D.C.Mappings and Fixed Points on Compact and Non-Compact Subsets of Hausdorff Topological Vector Spaces

紧集上N维非退化扩散过程样本水平集的Hausdorff维数

The Hausdorff Dimension of the Level Sets of Compact Sets for a N-dimension Nondegenerate Diffusion Process

Orlicz空间的收敛定理和弱列紧集

Convergent theorems and weakly sequentially compact sets in Orlicz spaces

基于Lyapunov定理证明了闭环系统稳定，跟踪误差指数收敛到任意小的有界紧集内。

It has been proved that the tracking error converge to an arbitrary small compact set in finite time by Lyapunov stability theorem .

在实Banach空间中，弱下半连续泛函在弱紧集上达到下界。

It is well known that weakly lower semi-continuous function can attain the maximum on weakly compact sets in real Banach space .

证得：在Banach空间中，相对紧集上的恒等算子可由一列有限秩连续拟线性投影算子一致逼近。

It is proved that the identity mapping on every precompact set in Banach space can be approximated uniformly by a sequence of finite rank continuous quasilinear projectors .

本文获得乐自相似马氏过程任意紧集过像集的Hausdorff维数以及自相似马氏过程水平集的一致Hausdorff维数。

The author obtains the Hausdorff dimensions of the inverse image for any compact set and the uniform Hausdorff dimension of level set under a self-similar Markov process .

本文证明了黎曼流形上的非爆炸正Harris常返扩散过程的强遍历性等价于某（任）一紧集击中时期望的一致有界性；

It is proved that the strong ergodicity for nonexplosive positive Harris recurrence diffusion processes on Riemannian manifold is equivalent to the uniform boundness of the expectation of the hitting time of some compact set .

对于抽象对偶系统（E，F）利用l1中的紧集，本文得到了一个Orlicz－Penttis型极端结果。

E an abstract set and F a family ofX-valued functions on E For the abstract duality pair ( E , F ), an extreme Orlicz-Pettis type result is obtained by using compact sets in li .

具有模糊IF-THEN规则集的模糊系统在给定的紧集内能一致逼近任意非线性不确定连续函数到任意精度。

Fuzzy systems with a collection of fuzzy IF-THEN , rules are capable of approximating any real continous function on a compact set with arbitrary accuracy .

本文介绍了TTE在康托空间、实数空间以及可计算度量空间上的计算复杂性，并对康托空间中紧集上的计算复杂性进行了进一步地探讨。

We introduce the computational complexity in Cantor space , real space and computable metric space . Further more , we discuss the computational complexity on compact set in Cantor space .

在lcs空间（X，T）中证明了Taa（Tka）是X上最大的与T有相同的绝对凸紧集（紧集）且与T相容的lcs拓扑；

In a lcs space ( X , T ), we prove that T aa ( T ka ) is the largest lcs topology which has the same absolutely convex compact ( compact ) sets as T and is compatible with T ;

在Markov性能势基础上，研究了一类转移速率不确定但受紧集约束的遍历连续时间Markov控制过程（CTMCP）的鲁棒控制问题。

Motivated by the needs of optimization and control of practical engineering systems with uncertain parameters , we considered , through the Markov performance potential theory , the robust control problems for a class of continuous time Markov control processes with uncertain transition rates that are constrained on compact sets .

该类网络构成了模糊值函数的一类泛逼近器，即在欧氏空间的任何紧集上，任意连续模糊值函数能被这类FNN逼近到任意精度。

Such a four-layer FNN constitutes a universal approximator of fuzzy valued function . That is , each continuous fuzzy valued function defined on any compact set of Euclidean space can be approximated by the FNN to any degree of accuracy .

本文主要讨论单个函数平移和伸缩的线性组合对Lp（Rn）中任一紧集内函数的逼近.给出一个很强的逼近结果.这在神经网络应用研究中具有重要意义。

In this paper , we give a strong approximate result to the functions in the compact set of LP ( Rn ) by the linear combinations of one function with its dilation and translation , this topic comes from the study of neural networks .

特别地，我们在任意有界闭集为紧集的度量空间中建立了一条在Li-Yorke意义下混沌的判定定理，它是由连接扩张不动点和鞍点异宿环导致的。

Especially , we get a criterion of chaos in the sense of Li-Yorke for heteroclinic cycles connecting repellers and saddles in metric spaces with the compactness in the sense that each bounded and closed set of the space is compact .

具有H-凸截口的非紧集的交定理及其应用

Intersection Theorems Concerning Noncompact Sets with H-Convex Sections and Their Applications

非紧集上的拓扑熵及其变分原理

On the Variational Principle for the Topological Entropy of Non-compact Set

弱紧集上的公共不动点与最佳逼近

Common fixed points and best approximation on weakly compact set

超紧集的刻划与层次结构

The characterization and gradation structure of ultra-fuzzy compact sets

一类可数紧集的计盒维数

Box Dimension on Class A of Countable Compact Sets

基于一种新的集合插值的非凸紧集的细分概型

Subdivision schemes for non-convex compact sets with a new definition of set interpolation