本文研究了诱导极限中的弱集与紧集。
In this paper, weakly compact sets and compact sets in inductive limits are investigated.
本文研究了诱导极限中的弱集与紧集。
In this article, we investigate the regularity of inductive limits with respect to weak topologies.
利用强连通来研究强紧集。
Strongly compact set was studied by means of strongly connected set.
目的研究线性拓扑空间中紧集端点存在性问题。
Aim to study the existence of the extreme points of a compact set in linear topological space.
对于强紧集得到了一些普通紧集所不具有的性质。
For the strongly compact set, this article gains, a few qualities of which common compact is not possessed.
最后，讨论了弱诱导包含式正则空间中层仿紧集的特征。
Finally , thecharacterizations of sheaf paracompact sets in weak induced contained type regularspaces are glven.
另一方面，在附加了弱于“C是紧集”的条件下，得到了强收敛结果。
On the other hand, we obtain the strong convergence theorem under a condition weaker than "c is compactness".
可连续扩张到边界的连续映射在列紧集上具有若干与紧集上相同的性质。
A continuous mapping on a sequential compact set that can be continuously extended to the boundary has the same properties as on a compact set.
利用强连通来研究强紧集。对于强紧集得到了一些普通紧集所不具有的性质。
Strongly compact set was studied by means of strongly connected set. For the strongly compact set, this article gains, a few qualities of which common compact is not possessed.
只要求第二空间是半序拓扑空间，B（D）是相对紧集，所得结果推广了近期相关结论。
It is only required that the second space is partly ordered topological space and B(D) possess the relatively compactness.
在这篇文章中，我们提出了最近邻估计在任意紧集上一致强收敛速度的概念，得到了一些较好的收敛速度。
In this paper, we propose the concept of rates of strong uniform convergence of nearest neighbor density estimates on any compact set and obtain some better convergence rates.
建立了一个新的极大极小不等式，并利用它研究了仿紧集上一类新型广义双拟变分不等式解的存在性问题。
A new minimax inequality theorem is established, which will be used to study the existence problem of solution for a new class of generalized bi-quasi-variational inequality.
本文在LF双拓扑空间中给出双-（半-）良紧集的概念，并讨论了它们的性质和相互关系，获得了一系列结果。
In this paper we give conpcept of pairwise (sime-) well compact sets in LF bitopological spaces and we discuss their property and relation.
关于算法分析的定理证明了这种混合算法对于紧致集内的权向量构成的任意连续函数能依概率1收敛于全局极小值。
It is shown that this algorithm ensures convergence to a global minimum with probability 1in a compact region of a weight vector space.
在非紧的一般拓扑空间中证明了一个涉及容许集值映象的叠合定理。
A new coincidence theorem involving admissible set-valued mappings is proved in general noncompact topological Spaces.
特别地，对紧支集小初值的情况，给出了经典解的生命区间及其在非线性波动方程中的应用。
In particular, for the case of small initial data with compact support, the author gives the life-span of classical solutions and its application to nonlinear wave equations.
定义了A-紧1-集压缩映象场的广义度，扩展了1984年张庆雍建立的半紧1-集压缩映射的不动点指数理论。
In the present paper, we define a generalized degree for A-compact 1-set contraction mapping, the result extends what Zhang Qingyong obtained in 1984.
给出了紧致度量空间上连续自映射的周期点集具有局部度量稳定性的必要条件和充分条件。
In this paper, a necessary and a sufficient condition for the continuous map on a compact metric space whose set of period points has the property of locally metric stability is obtained.
采用水平集方法描述结构的拓扑及其变化，使用紧支径向基函数对计算区域的水平集进行插值以得到参数化的水平集方法。
The level set method was adopted to describing the structural topology and its change, and the compactly supported radial basis function was introduced to getting the parametric level set method.
通过将多分辨分析扩展到多进小波的办法，本文也构造了一个具有双对称性、紧支撑集和高阶消失矩的4-进正交小波类。
By extending the theory of multi-resolution analysis to multi-bank wavelets, this paper also focuses on the study of 4-bank compactly supported bi-symmetric orthonormal wavelets.
延拓辅助原理的技巧研究一类取非紧值的集值映象的广义强非线性混合似变分不等式。
The auxiliary principle technique is extended to study a class of generalized strongly nonlinear mixed variational-like inequalities for set-valued mappings without compact values.
提出了线性t -S模糊系统以任意精度一致逼近紧致集上任意连续实函数的一个充分条件，并给出了数值示例。
This paper presents a new sufficient condition under which the linear t s fuzzy systems can uniformly approximate any real continuous functions defined on a compact set to any degree of accuracy.
研究了序凸集的一些运算性质，得到了紧序凸集的序端点表示定理。
The representation theorem with order-extremal points is obtained for compact order-convex sets.
给出了赋范共轭空间的点与(紧)凸集、紧凸集之间被原空间中的点分隔的定理。
It is shown that a point and a (compact) convex set are separated in this paper, and two compact convex sets are separated by a point of the original space in normed dual space.
构造紧支集小波正交基时发现：紧支集正交小波基函数与地震波极为相似，比较适合地震资料处理。
Through construct tight branch collection of orthogonal wavelet base, we find that tight branch collection of orthogonal base wavelet function resembles real seismic wave.
在第二章中，我们讨论紧致度量空间上连续自映射的可链点集的性质，特别是链回归点的可链点集的性质。
In Chapter Two, we discuss properties of the set of chainable points of a continuous self-map fon an impact metric space, especially those of chain recurrent points.
即证明了每一上半连续非空紧凸值集值映射至少存在一个该映射不动点集的极小连续本质集，以及该极小连续本质集是连通的。
It is proved that there exist at least one minimal continuously essential set of fixed points, and the minimal continuously essential set is connected.
在一般的假设条件下 ，我们应用性能势的基本性质直接建立了无限时间水平平均代价模型的最优性方程 ，并且证明了在紧致集上最优解的存在性 。
Under a general assumption, we establish directly the optimality equation for infinite time horizon average cost model and prove the existence of optimal solution in a compact action set by using p.
本文主要研究了非紧致集上的极大值函数和带不等式约束的广义半无限规划。
This dissertation is devoted to the study of sup-type function on non-compact set and the first-order optimality conditions for generalized semi-infinite programming with inequality constraints.
第1集：玩紧：在第三赛季的揭幕战，两歹徒谋杀亚美尼亚带来一些热的突击队和金钱列车得分。
1: Playing Tight: in the third-season opener, the murders of two Armenian mobsters bring some heat on the Strike Team and its money-train score.
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