This article introduces three kinds of equal value definitions of function continuity, proves the equal value relation among them, and makes people understand further the continuity of function.
介绍了函数的连续性的三种等价定义，并对它们之间的的等价关系进行了互相证明，使人们更加深入地了解函数的连续性。
In this paper we introduce the concept of continuity of a fuzzy sample function, and solve the basic theoretical problem of continuity of fuzzy stochastic processes successfully.
本文首次引入了模糊样本函数的连续性的基本概念，并且成功地解决了模糊随机过程的连续性这一最基本的理论问题。
Cantor, the paper presents conditions of uniform continuity of a function in arbitrary boundary, and discusses the simple distinguish method for nonuniform continuity.
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。
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