数学分析中的距离与应用

Distance and Its Application in Mathematical Analysis

极限是数学分析中最重要的贯穿始终的概念,在所有与极限相关的概念中距离是最重要的因素.首先总结了数学分析中不同的极限形式中距离的表达形式,然后分析了距离的重要作用,最后通过介绍聚类分析说明数学分析中距离的思想方法在实际中的重要应用.

Limit is the most important concept in mathematical analysis and distance is the most important element in all concepts related to limit.The expressions of distance is summarized in different forms of limit,then the vital function of distance is analyzed.Finally,cluster analysis is introduced to illustrate the practical application of the idea of distance in real life.