|
| 摘要: |
| 首先引入了正四面体生成的一般Sierpinski块的概念及其构造，给出了正四面体生成的一般Sierpinski块的Hausdorff维数，并对其Hausdorff测度研究现状进行了分析；通过构造出一个新的迭代数列，得到了估计正四面体生成的一般Sierpinski块的Hausdorff测度的更好的公式，并计算得出了相关结果。 |
| 关键词: Sierpinski块 Hausdorff维数 Hausdorff测度 |
| DOI： |
| 分类号: |
| 基金项目: |
|
| The Estimate of the Hausdorff Measure of the General Sierpinski Block Generated by Regular Tetrahedron |
|
SUN Shan-hui,WU Yi-min,LI Zhuang-zhuang
|
| Abstract: |
| This paper firstly introduces the concept and construct of the general Sierpinski blok generated by the regular tetrahedron,then offers the Hausdorff dimension of the general Sierpinski block generated by the regular tetrahedron,analyzes the status quo of the reseach on the Hausdorff measure,by constructing a new iterative sequence of number,gives a better formular for the estimate of the Hausdorff measure of the general Sierpinski block generated by the regular tetrhedron,and obtains the relevant results by calculation. |
| Key words: Sierpinski block Hausdorff dimension Hausdorff measure |
