| 关于函数在任意区间上一致连续与非一致连续的条件讨论 |
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| 引用本文： | 姜雄. 关于函数在任意区间上一致连续与非一致连续的条件讨论[J]. 辽宁科技学院学报, 2005, 7(2): 35-37 |
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| 作者姓名： | 姜雄 |
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| 作者单位： | 辽宁科技学院,基础部,辽宁,本溪,117022 |
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| 摘 要： | 一致连续与非一致连续是数学分析中的一个重要的概念.本文从G.康托尔定理出发,清晰的给出在任意区间的函数一致连续的条件,并且讨论非一致连续的简单的判别方法.
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| 关 键 词： | G.康托尔定理 一致连续 非一致连续 |
| 文章编号： | 1008-3723(2005)02-0035-03 |
| 修稿时间： | 2005-01-09 |
Discussion on Condition of Uniform and Nonuniform Continuity of a Function in Arbitrary Boundary |
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| Jiang XIONG. Discussion on Condition of Uniform and Nonuniform Continuity of a Function in Arbitrary Boundary[J]. Journal of Liaoning Institute of Science and Technology, 2005, 7(2): 35-37 |
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| Authors: | Jiang XIONG |
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| Abstract: | There is an important concept in mathematical analysis,nomely uniform continuity and nonuniform continuity.Proceeding from the theorem of G.Cantor,the paper presents conditions of uniform continuity of a function in arbitrary boundary,and discusses the simple distinguish method for nonuniform continuity. |
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| Keywords: | The theorem of G.Cantor Uniform continuity Nonuniform continuity |
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