關(guān)于測度

關(guān)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(dǎo)出勒貝格測度的概念，繼而重點(diǎn)討論勒貝格測度的性質(zhì)．最后總結(jié)勒貝格可測集類和介紹構(gòu)造 上勒貝格不可測集的方法,并給出了1個(gè) 上不可測集的例子．

關(guān)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