Uniform Continuity

Uniform Continuity of Grey Function in the Grey Region

灰区域上灰函数的一致连续性

Two Notes of the Uniform Continuity Function

函数一致连续性的两点注记

A New Proof of the Cantor Uniform Continuity Theorem

Cantor-致连续性定理的新证明

On uniform continuity and compactness in topological linear spaces

拓扑线性空间中的一致连续性和紧性

The continuity and the uniform continuity of gradient mappings in Locally Convex Spaces

局部凸空间下梯度映射的连续性和均匀连续性

Uniform Continuity Theorem in Normed Linear Spaces

线性赋范空间上算子的一致连续性定理

This paper gives some methods about the proof of the functional uniformity and continuity , and obtains some important theorems in the condition of Uniform continuity .

本文给出了函数一致连续性的几个证明方法，以及在函数一致连续性的条件下得到的几个重要结论。

Cantor , the paper presents conditions of uniform continuity of a function in arbitrary boundary , and discusses the simple distinguish method for nonuniform continuity . Theorem C.

康托尔定理出发，清晰的给出在任意区间的函数一致连续的条件，并且讨论非一致连续的简单的判别方法。

The necessary and sufficient condition of the uniform continuity function in closed interval is given in the textbook of higher mathematics . In this paper , we give two necessary and sufficient conditions of the uniform continuity function in open interval and two properties .

在高等数学教材中，主要给出了闭区间内函数一致连续的充要条件，本文给出开区间内函数一致连续的二个充要条件以及二个性质并加以证明。

This article key innovation designed one kind of falling plants evenly , which made the pulsation phenomenon of the seeder-metering device been solved by making the seed through the collision different number of times cushion piece uniform continuity falls in plants in the ditch .

本文重点创新设计了一种落种均匀器，使得排种器由于脉动现象排出的一股一股种子通过碰撞不同次数的缓冲片使种子均匀连续地落在种沟里。

In this paper a function of the geometric intuition in the teaching of mathematical analysis is shown by the zero-point theorem , the theorem of maximum minimum property , the derivation rule of inverse function , and the definitions of uniform continuity and inflection point .

通过零点定理、最值性定理、反函数的求导法则、一致连续性和拐点的定义来说明几何直观在《数学分析》教学中的作用。

In general Banach space , Ishikawa and Mann iteration sequence with errors for nonlinear multi-valued Φ - strongly accretive mapping are constructed . By using property of uniform continuity of multi-valued mappings , some sufficient conditions of convergence theorems of Ishikawa and Mann iterative sepuences with errors are given .

在一般巴拿赫空间中，构造非线性多值Φ强增生映象方程具误差的Ishikawa，Mann迭代序列，利用多值映象一致连续的性质，给出该序列收敛的一个充分条件。

The main method is to estimate the uniform norm of continuity of solution .

主要方法是估计未知函数的一致连续模。

Discussion on Condition of Uniform and Nonuniform Continuity of a Function in Arbitrary Boundary

关于函数在任意区间上一致连续与非一致连续的条件讨论

Based on the results of the uniform modulus of continuity for Brownian sheet , investigate the multifractal analysis properties of " fast points " sets with different increment forms and obtain their exact Hausdorff dimensions .

在布朗单一致连续模的基础上讨论α-快点集的重分形分析性质，得到了两类不同增量形式的α-快点集的Hausdorff维数。

This thesis firstly defines the uniform integrability and absolute continuity of fuzzy variables , discusses their relationships , and provides an approach to checking the uniform integrability of fuzzy variables .

本文首先定义模糊变量序列的一致可积和绝对连续，讨论它们之间的关系并且给出判别一致可积的方法。