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測度

時間:2024-09-27 23:15:19 數(shù)學畢業(yè)論文 我要投稿
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關于測度

關于測度


摘要:本文主要通過說明黎曼積分的局限性,引入1種新的劃分,導出勒貝格測度的概念,繼而重點討論勒貝格測度的性質(zhì).最后總結勒貝格可測集類和介紹構造 上勒貝格不可測集的方法,并給出了1個 上不可測集的例子.

關鍵字:黎曼積分;勒貝格測度;可測集;不可測集

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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