一致连续

We obtain some sufficient conditions of uniformly continuous function.

得到了函数一致连续的几个充分条件。

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。

Uniform continuity;Lebesgue number;property L ;compactness

一致连续；；Lebesgue数；；性质L；；紧性

In this paper we have shown that if the partial derivative of function f with respect to x is uniformly continuous then total stability of zero solution of system implies uniformly exponential asymptotic stability of zero solution.

本文证明了若系统有一致连续的偏导数，则系统的零解在经常扰动下稳定可推出零解一致指数型渐近稳定。

The function's uniform continuity is one of the most important theories in the mathematics analysis course.

弄清函数的一致连续性的概念和掌握判断函数一致连续的方法无疑是学好函数一致连续性理论的关键。

This improve a result on uniform continuity of functions, and we obtain that continuous functions defined on compact subsets of R are uniformly continuous.

作为上述结果的一个推论，改进了通常关于函数一致连续性的一个结果，得到了R的紧致子集上的连续函数是一致连续的。

This paper helps to understand the connotation of the theory by making a thorough analysis and summary of the definition and the judgement condition of function's uniform continuity, and by producing some good ways to demonstrate the function's non-uniform continuity.

数学分析教材只给出一致连续的概念和判断函数在闭区间上一致连续的G·康托定理，内容篇幅少，为了使初学者对函数一致连续性的理论有正确的理解和全面的掌握，作为教材内容的适当

In this paper, we prove that a continuous function defined on a subest D with property L of R is uniformly continuous.

证明了如果R的子集D具有性质L，则定义在D上的连续函数是一致连续的。

In mathematics the smoothing of a function is often measured with the continuity, or nth deriv-ation, of the function, and the more precise measurement is the Lipschitz exponent of afunction.

函数在某点的光滑程度可用其在这点的连续性和各阶导数描述，但更细致的描述是用函数在这点的Lipschitz指数来刻划的，而函数在一个区间上的光滑性则可以用函数的一致连续和导函数来考察，更精确的是用一致Lipschitz指数来考虑。

Categories more relevant to the metric structure can be found by limiting the morphisms to

就是说，在拓扑空间和连续映射范畴中，或在一致空间和一致连续映射范畴内，离散空间''X''是集合''X''上的

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。