关于实分析中“一致性”概念的探讨

Probe into the Conceptof Consistency in Realanalysis

本文对实分析中函数一致连续性、函数列一致收敛性、积分等度绝对连续性等一些重要的“一致性”概念进行了仔细的分析,探讨概念引入的方法,比较概念的描述,它们有一个相似的结构模式,这将有助于深刻理解和应用这些概念,也有助于数学创新能力的培养。

This paper makes careful analysis on such important concepts ofconsistency in real analysis as consistent continuity of function, consistent convergence of functional line and absolute continuity of integral equal degree. It probes into the method of the concept introduction and compares the descriptive method of the concept in order to get their identical structural mode. This will help to understand and apply these concepts deeply and also help to cultivate the innovative ability of mathematics.