一致连续的

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。

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。

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 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 the forth chapter, the convergence problem of three Ishikawa and modified three Ishikawa iterative sequences under uniformly continuousΦ-strongly pseudo-contractive mapping and approximating pseudo-contractive mapping is

第四章主要讨论了三重迭代序列以及修改了的三重迭代序列在一致连续的Φ-强伪压缩映射、渐近伪压缩映象下的收敛问题，给出了其判别准则和结论描述。

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

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷