| Sierpinski圆垫片的Hausdorff测度 |
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| 引用本文： | 燕子宗,王章雄,陶少华. Sierpinski圆垫片的Hausdorff测度[J]. 长江大学学报(社会科学版), 2001, 0(2) |
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| 作者姓名： | 燕子宗 王章雄 陶少华 |
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| 作者单位： | 荆州师范学院数学系!434104(燕子宗，王章雄)，荆州师范学院物理系!434104(陶少华) |
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| 基金项目： | 湖北省高教科研经费赞助项目 |
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| 摘 要： | 从构造Sierpinski圆垫片出发 ,在一般意义下讨论了有关自相似集的Hausdorff测度的计算问题 ,并给出刚性与非刚性自相似集的等价关系 ,获得了更广泛一类自相似集的Hausdorff测度
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| 关 键 词： | Sierpinski圆垫片 刚性 非刚性 自相似集 Hausdorff维数和测度 收缩覆盖 |
THE HAUSDORFF MEASURE OF THE SIERPINSKI CARPET ON CIRCLE |
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| Yan Zizong+ Wang Zhangxiong+ Tao Shaohua+. THE HAUSDORFF MEASURE OF THE SIERPINSKI CARPET ON CIRCLE[J]. Journal of Yangtze University(Social Sciences), 2001, 0(2) |
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| Authors: | Yan Zizong+ Wang Zhangxiong+ Tao Shaohua+ |
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| Affiliation: | Yan Zizong+1 Wang Zhangxiong+1 Tao Shaohua+2 |
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| Abstract: | Take use of the self-similarity construction of the Sierpinski carpet on circle,a computation formula for general fractals was obtained.The equivalence relation of both the stiff self-similarity set and non-stiff self-similarity set was given also.As an application,the Hausdorff measures of some self-similarity set were achieved. |
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| Keywords: | Sierpinski carpet on circle stiff non-stiff self-similarity Hausdorff dimension measure deflation covering |
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