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关于测度

格式:DOC 上传日期:2023-01-06 03:18:00
关于测度
时间:2023-01-06 03:18:00     小编:

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

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