关于测度

关于测度

摘要:本文主要通过说明黎曼积分的局限性，引入1种新的划分，导出勒贝格测度的概念，继而重点讨论勒贝格测度的性质．最后总结勒贝格可测集类和介绍构造 上勒贝格不可测集的方法,并给出了1个 上不可测集的例子．

关键字：黎曼积分；勒贝格测度；可测集；不可测集

About Measure

Abstract: In this paper, the limitation in the application of  the Riemann integral is pointed out, and the Lebesgue Measure is educed by introducing a new partition, and the Messurable Set and the Unmeasured Set are mainly discussed. In the end, the method to construst a Unmeasured Set in  is obtained,and a example of Unmeasured Set in   is given.
Keywords: Riemann integral; Lebesgue Measure; Messurable Set; Unmeasured Set