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上半连续函数的充要条件
引用本文:庄中文.上半连续函数的充要条件[J].安顺学院学报,2010(2):77-78.
作者姓名:庄中文
作者单位:安顺学院数学与计算机科学系;
摘    要:在上半连续函数定义的基础上证明了闭区间上的上半连续函数是有界的这一重要性质,并在此基础上给出了两个判定函数在闭区间上是上半连续的充要条件。

关 键 词:上半连续  下半连续

Necessary and Sufficient Condition of upper Semi-continuous Functions
Zhuang Zhongwen.Necessary and Sufficient Condition of upper Semi-continuous Functions[J].Journal of Anshun College,2010(2):77-78.
Authors:Zhuang Zhongwen
Institution:Department of mathematics;Anshun normal college;Anshun561000;Guizhou;China
Abstract:This article proves the boundedness of upper semi-continuous functions on closed interval basing on the definitions of the upper semi-continuous functions,and the two necessary and sufficient conditions of upper semi-continuous functions on closed interval are also gived.
Keywords:upper semi-continuous  lower semi-continuous  
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