關於測度

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關於測度

關於測度


摘要:本文主要通過說明黎曼積分的侷限性,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.最後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,並給出了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

TAGS:測度