| Koch曲线的Hausdorff维数 |
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| 引用本文： | 铁勇. Koch曲线的Hausdorff维数[J]. 曲靖师范学院学报, 2007, 26(3): 13-14 |
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| 作者姓名： | 铁勇 |
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| 作者单位： | 曲靖师范学院,数学系,云南,曲靖,655011 |
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| 摘 要： | 关于分形维数的证明,如果能给出其下界和上界的估计,则证明成立,但是关于下界的估计往往比较困难.文章对Koch曲线深入讨论,给出其迭代函数系统,然后计算出其Hausdorff维数,并作详细的证明.
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| 关 键 词： | Koch曲线 迭代函数系统 Hausdorff维数 下界估计 |
| 文章编号： | 1009-8879（2007）03-0013-02 |
| 修稿时间： | 2006-12-18 |
Hausdorff Dimension of Koch Curve |
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| Tie Yong. Hausdorff Dimension of Koch Curve[J]. Journal of Qujing Normal College, 2007, 26(3): 13-14 |
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| Authors: | Tie Yong |
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| Affiliation: | Department of Mathematics, Qujing Normal University, Qujing Yunnan 655011, China |
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| Abstract: | The proof of fractal dimension can be proved by estimating its supremum and infimum,but estimating its infimum is very difficult.In this paper,basing on the discussion of Koch curve,we give and prove its iterated function system,and calculate its Hausdorff dimension. |
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| Keywords: | Koch curve iterated function system Hausdorff dimension estimating the infimum |
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