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基本上成立的概念及其应用
引用本文:林谦,杨祺.基本上成立的概念及其应用[J].云南师范大学学报(自然科学版),2014(4):48-54.
作者姓名:林谦  杨祺
作者单位:[1]云南师范大学数学学院,云南昆明650092 [2]云南农业大学附属中学,云南昆明650000
摘    要:主要讨论了基本上成立的一些概念,并给出与这些概念相关的一些性质,同时用基本上成立的概念简述一些定理和性质的叙述、证明及它们之间的关系.

关 键 词:基本上成立  基本上收敛  基本上一致收敛  基本上连续  基本上可导  关系

The Definition of "a Proposition Holds True Nearly" and Its Applications
LIN Qian,YANG Qi.The Definition of "a Proposition Holds True Nearly" and Its Applications[J].Journal of Yunnan Normal University (Natural Sciences Edition),2014(4):48-54.
Authors:LIN Qian  YANG Qi
Institution:1. School of Mathematics,Yunnan Normal University,Kunming 650092,China; 2. Affiliated Middle School, Yunnan Agricultural University, Kunming 650201, China)
Abstract:In this paper,we are concerned with some notations of "propositions hold true nearly" and some corresponding properties. In virtue of these notations,we state some Theorems,such as Egoroff's Theorem,Lusiffs Theorem,Lebesgue's Theorem and so on,and give proofs and relations in a simple way.
Keywords:Holds true nearly  Convergent nearly  Convergent uniformly and nearly  Continuous nearly  Differentiable nearly  Relation
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