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Author:
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Issue:
Preposition Proof of Continuous Function Properties
Author(s):
PAN Yangyou
Pages:
55
-
56
Year:
2004
Issue:
5
Journal:
JOURNAL OF CHIZHOU TEACHERS COLLEGE
Keyword:
连续函数
;
致密性定理
;
一致连续
;
Abstract:
连续函数是分析学研究的重要对象,特别是它在闭区间上所具有的良好特性是人们研究函数性态的重要手段之一.考虑到所用教材在该问题证明上的相对滞后性,本文先给出了一个引理,再结合书中前面的相关定理给出闭区间上连续函数性质的详细证明,以帮助学生加深对这些性质的理性认识和运用.
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