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关于测度

时间:2017-08-11 数学毕业论文 我要投稿

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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