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The hausdorff measure of the general sierpinski block generated by regular tetrahedron and its comupter achievement

机译:正四面体生成的一般希尔平斯基块的hausdorff测度及其计算机实现

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摘要

In this paper, we firstly offer the definition and the construct of the general Sierpinski block, which is generated by the regular tetrahedron. Then, by a new iterative sequence, we get a much better upper estimate formular for calculating the Hausdorff measure of the general Sierpinski block. At last, we also obtain some better upper estimations of the Hausdorff measure of the general Sierpinski block by a new computer algorithm.
机译:在本文中,我们首先提供由规则四面体生成的一般Sierpinski块的定义和构造。然后,通过一个新的迭代序列,我们得到了一个更好的上估计公式,用于计算一般Sierpinski块的Hausdorff测度。最后,我们还通过一种新的计算机算法获得了对一般Sierpinski块的Hausdorff测度的更好的上估计。

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