測度

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