| Cantor集性质的应用 |
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| 引用本文： | 董大校.Cantor集性质的应用[J].玉溪师范学院学报,2009,25(8). |
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| 作者姓名： | 董大校 |
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| 作者单位： | 临沧师范高等专科学校,云南临沧,677000 |
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| 摘 要： | Cantor集是集合论中的著名例子,为实变函数中的重要集合之一,是一个构思巧妙的特殊点集.从Cantor集合,我们可以学到一种思想方法:一种复杂图形,可以由非常简单的规则经过持续并不断重复的迭代过程而生成,这种简单过程可以生成复杂图形,而复杂图形中又包含着简单规则.
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| 关 键 词： | Cantor集 实变函数 迭代过程 |
The Application of the Characteristics of Cantor Set |
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| DONG Daxiao.The Application of the Characteristics of Cantor Set[J].Journal of Yuxi Teachers' College,2009,25(8). |
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| Authors: | DONG Daxiao |
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| Institution: | DONG Daxiao(Lincang Education College; Lincang; Yunnan 677000); |
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| Abstract: | Cantor set serves as a famous example of set theory.As one of the important sets of real variable function,it is a specially constructed point set,from which we can learn a way of thinking.A complex graph may be the result of constant iteration of very simple rules.A simple process can generate a complex graph and a complex graph may have a simple rule in it. |
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| Keywords: | Cantor set real variable function iteration process |
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