1) uniform continuity
一致连续
1.
Continuity,uniform continuity,uniform convergence and equicontinuity are very important qualities of functions or sequence of functions.
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。
2.
Based on the conclusion of mathematical analysis, the relation among eqnicontinuity,uniform continuity and uniform convergence are studied again in this paper and some newresults have been obtained.
本文在数分结论的基础上对等度连续，一致连续，一致收敛等概念间的关系进行了再度探讨，得到了若干新的结果。
2) Uniformly continuous
一致连续
1.
Proves the function uniformly continuous several theorems;
证明函数一致连续的几个定理
2.
The definitions and theorems of uniformly continuous function are made a summary, and the closer ties between the boundness and uniform continuity of function are stated here.
对函数的一致连续性的定义、定理加以系统的总结,指出了函数的收敛性和导数有界性与函数的一致收敛性的紧密联系。
3.
Let T:K→K be a uniformly continuous and Φ-hemicontractive mapping.
设T:K→K为一致连续Φ-半压缩映射。
3) uniformly continuity
一致连续
1.
Some problems about uniformly continuity;
关于函数的一致连续问题
2.
Some sorts of the uniformly continuit function in the infinite interval are given from the definition of the uniformly continuity of function.
从一致连续性的定义出发,给出了无穷区间上一致连续函数的几种类型。
3.
This paper discusses the uniformly continuity of power function y=x~α on respective domain of definition
对幂函数y=x~a的幂指数分a>1,0一致连续性进行了讨论。
4) Uniform autocontinuity
一致自连续
1.
Under the uniform autocontinuity condition, regular fuzzy measure of a subset approaches zero and so does the countable unions′.
在一致自连续的条件下 ,正则Fuzzy测度趋于零的集 ,其可数并的正则Fuzzy测度趋于零 ,正则Fuzzy测度的和与积是正则Fuzzy测度 。
2.
By the concept of convergence with respect to the fuzzy order of set sequences in m dimensional positive Euclid space,the weak autocontinuity of set-valued mapping is defined,and weak autocontinuity and uniform autocontinuity for the set-valued fuzzy measure are discussed,and the relationships between them are studied.
在m维正欧式空间的子集类上利用模糊序结构建立了序收敛的情况下,定义了集值模糊测度的弱自连续,讨论了它与集值模糊测度一致自连续的关系,得到了一些有趣的结果。
5) uniformly continuity
一致连续性
1.
From the angels of continuity,differentiable nature,uniformly continuity and convergence of improper integral,the paper provides the sufficient condition of limx→+∞f(x)=0.
从连续性、可微性、一致连续性、广义积分的收敛性诸方面给出了极限lim x→+∞f(x)=0的充分条件。
6) uniform continuity
一致连续性
1.
By studying gradient of several variables,provided two principles of continuity and uniform continuity under the conditions of several variables in gradient’s modular.
通过对多元函数梯度的研究,给出了多元函数在梯度的模有界的情形下连续和一致连续性的2个定理,给出了求多元函数极值的一个方法,并举例说明该方法的有效性。
补充资料：一致连续性
一致连续性
uniform continuity
一致连续性1.血谊m朋侧坛面ty:paBu0MePH明“eupe-poBuoc几1 函数(映射)j:X~Y的一种性质，其中X与Y为度量空间.它要求，对任给正数￡》0，有正数石>0使得对满足p(x、，xZ)<占的所有x、，xZeX，均有不等式p(f(x;)，f(xZ))<￡成立. 如果映射厂X~Y在X上连续，且X为紧统，那么厂在X上一致连续.一致连续映射的合成是一致连续的. 映射的一致连续性在拓扑群上也会发生.例如，设X。C=X，X，Y为拓扑群，映射f:XO~Y称为万致连续的(山五自n川y collt山uous)是指，对Y的单位元的任意邻域U，，存在X的单位元的一个邻域U二，使得对满足x，、于’任u二‘相应地，x厂‘xZ〔矶)的所有;，，xZ任戈，关系式.f(、，)[f(xZ)]一’任U，(相应地，[f(义、)1一’f(‘2)〔U，)均成立. 一致连续性概念已被推广到一致空间(训面皿印ace)上去.【补注l拓扑群上有好几种自然的一致结构;关于它们之间映射一致连续性的上面(含糊的)叙述可以用不同的方法来阐明.
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条