| 数字分配问题中测度与维数的研究 |
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| 引用本文： | 铁勇. 数字分配问题中测度与维数的研究[J]. 曲靖师专学报, 2012, 0(3): 10-13 |
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| 作者姓名： | 铁勇 |
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| 作者单位： | 曲靖师范学院数学与信息科学学院,云南曲靖655011 |
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| 摘 要： | 对于数字分配问题，将概率引入Cantor集中测度的相关问题，在其m进位制展开武的数字分配中，结合Hausdorff测度的性质和覆盖引理，推导出Hausdorff维数的一种有效的计算方法，这对于分形几何理论研究和分形曲线的性质的研究具有重要的作用．
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| 关 键 词： | 数字分配 概率 测度 Hausdorff维数 |
Rearch on the Problem of Measure and Dimension of Numerical Distribution |
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| Tie Yong. Rearch on the Problem of Measure and Dimension of Numerical Distribution[J]. , 2012, 0(3): 10-13 |
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| Authors: | Tie Yong |
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| Affiliation: | Tie Yong ( School of Mathematics and Information Science, Qujing Normal University, Qujing Yunnan 655011. P. R. China) |
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| Abstract: | The theory of measure and dimension of numerical distribution is an important content of fractal and geometry, which plays a role in researching on fractal properties. In this paper, probability is used in the problem of measure of Cantor set, in the numerical distribution of its - decimal expression, and a new effective solving formula of Hausdorff dimension is given by combining the character of Hausdorff measure. |
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| Keywords: | numerical distribution probability measure Hausdorff dimension |
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