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            測度

            時間:2024-09-27 23:15:19 數學畢業論文 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.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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