一致等度连续

词组短语

uniform equicontinuity

与一致等度连续相关的网络例句 [注：此内容来源于网络，仅供参考]

We also give the showing style of these principles in Banach space and give some applied examples of them.

第三章讨论了等度连续原理、一致有界原理以及Banach-Steinhaus型定理的最新研究结果，给出了这些原理在Banach空间上的表现形式，并举出一些应用例子。

On this basis, we give the characterization of the compact set in E〓,τ

引入了模糊数网的最终等度左连续概念，利用它得到了模糊数序列在水平收敛意义下存在极限的一个充要条件，在此基础上给出了空间E〓，τ(l中紧集的特征刻画，即空间E〓，τ(l中的闭集U是紧的当且仅当U一致支集有界，且U的每个网有在（0，1上最终等度左连续、在λ=0处最终等度右连续的子网。

Suppose C is a Graph with k loops andf: G 梸- G is a continuous map with at least a peri- odic point. We prove the following three conditions are equivalent:(1) f is equicontinuous;(2) One of the following End + 2k + 1 conditions holds: in FJm.~0(E~+2L!= flJ1,m = l,2,挃,End J=1 + 2k; 1 0 = flf is a ioop on Gandf I~:0?- 0 is conjugate j=1 to a rational rotation;(3) One of the following End + 2k + 1 conditions holds: k m Lfl.m/~oE~(G+2i!~ is uniformly convergent, m = 1,2,,End+2k; n There is a poistive integer number n,~~~ is uniformly convergent.

假设G是含有k个圈的图，f是G到自身上的连续映射，并且至少有一个周期点，我们证明了下列三条陈述是等价的：（1）f是等度连续的；（2）下列End+2k+1个条件之一成立： m）F l）O=是G的一个圈，且fl_o：O→O共轭于一个有理旋转；（3）下列End+2k+1个条件之一成立： m）是一致收敛的，m=1，2，…，End+2k； l）存在某个正整数n，是一致收敛的。

At last the results have been applied to the tracking problem of a class of mechanical systems with discontinuous friction term. Chapter 3 mainly deals with uniformly ultimate boundedness of a class of nonautonomous systems with discontinuous right-hand sides and corresponding perturbed systems (in the sense of Filippov solutions). The definitions of globally uniformly strongly ultimate boundedness and globally uniformly weakly ultimate boundedness of discontinuous systems and the definition of globally equiuniformly strongly ultimate boundedness of corresponding perturbed systems are presented firstly.

首次给出不连续系统全局强一致最终有界、全局弱一致最终有界的定义，以及针对于扰动系统的全局强等度一致最终有界性的定义，并基于非光滑的Lyapunov函数得到了不连续系统全局一致强、弱最终有界的Lyapunov定理和扰动系统全局强等度一致最终有界性的Lyapunov定理。

Continuity,uniform continuity,uniform convergence and equicontinuity are very important qualities of functions or sequence of function s.

连续、一致连续、一致收敛和等度连续是函数或函数列非常重要的性质。

In this paper we mainly discuss the late extending styles of basic principles such as equicontinuity principle ,uniform boundedness principle ,Banach-Steinhaus theorem and ect., and describe the new characters of these new results in Banach space.

本文主要讨论等度连续原理、一致有界原理及Banach-Steinhaus定理等基本原理的最新推广形式，刻划这些新结果在Banach空间上的新特征。

Consisting of 3 Chapters, the Paper mainly includes the following contents: Chapter 1 of Introduct on presents the significance of extending uniform boundedness principle and elso reviews one hundred years development of uniform boundedness principle iind the work done by people in this aspect; Chapter 2 mainly introduce some preparatory knowledge including definitions of dissecting operators, absorbing operators, equicontinuity and some relative examples; In Chapter 3, We discuss the new researching results of equicontinuity principle,uniform boundedness principle and Banach-Steinhaus type theorem .

本文共分三章，主要内容如下：在第一章绪论中说明了推广一致有界原理的意义；回顾了已知一致有界原理一百多年来的发展及人们在此方面所做的工作。在第二章中主要介绍了一些预备知识，其中包括：解剖算子、吸收算子、等度连续的定义并举了一些相关的例子。

Main contents and conclusions are: 1 The ionization current was measured continuously by a charge-integration method with a computer after the introduction of radon into the chamber.

主要内容及结论：1充氡后利用计算机连续进行电离电流累积测量，得到了精细的电流随时间的变化曲线，可清楚看出氡及其子体的生成衰变造成的电离电流的生长—稳定—衰减过程，与理论计算值进行了比较，由电离电流衰减速度的变化得出氡吸附作用的影响，并测量到电离室冲洗后氡的反扩散现象；2由已知活度的标准源定出相对测量的刻度系数K值，K=24.62 Bq／pA，对同一个监测源以半年为周期进行多次测量后得出稳定性符合要求；3通过测量电离电流和气压的关系曲线以及不同气压下的饱和曲线，确定了常规的工作条件；4测量了盐酸清洗电离室内表面降低本底的效果；5不确定度分析表明相对测氡的扩展不确定度(k=2)小于5％，由本底涨落得出探测下限为0.5 Bq；6理论上对壁损失修正进行了计算，实验上保持电离室工作在饱和区的情况下，测量了不同气压下电离电流的变化，从中得出了壁损失随气压变化的规律，可以看出，电离电流的实测值和计算值随气压变化规律基本一致；当气压大于125 kPa时，端效应等其它因素造成的影响不大于2％，因而在此工作条件下，测量电离电流后通过计算修正壁损失可以实现近似的绝对测氡，提出了进一步提高绝对测量准确度的方法。