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有限可加与σ可加的区别与联系

Finitely Additive Compares with σ Additive

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【作者】 陶应奇刘华林

【Author】 Tao Ying qi 1, Liu Hua lin 2(1 Chengdu Command College of the Chinese People’s Armed Police Force, Chengdu 610213;2 Department of Mathematics and Information Science, Mianyang Normal University, Mianyang 621000)

【机构】 武警成都指挥学院数理教研室绵阳师范学院数学与信息科学系 成都610213四川绵阳621000

【摘要】 对概率论中的有限可加与σ可加的区别与联系进行比较分析 ,得出如下结果 :(1 )σ可加可以推出有限可加 ;(2 )有限可加推不出σ可加

【Abstract】 In this paper, after a sound analysis and discussion of the difference and relation between finitely additive and σ additive, the authors reach the conclusion that finitely additive can be deduced from σ additive, but σ additive cannot be deduced from finitely additive.

【关键词】 有限可加σ可加测度
【Key words】 finitely additiveσ additivemeasure
  • 【分类号】O212
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