【摘要】 本文提出了满足开集条件的自相似集的质量分布原理.作为应用,得到了计算一类满足开集条件的自相似集的Hausdorff测度的准确值的方法,并举例说明了此方法对于计算一类满足开集条件的自相似集的Hausdorff测度的准确值是行之有效的.更多还原

【Abstract】 In this paper,the mass distribution principle for the self-similar sets satisfying the open set condition(OSC) is set up.As an application,we obtain a new method for computing the exact value of the Hausdorff measure for a class of self-similar sets satisfying OSC.In addition,we give two examples to show that the new method is effective and workable to compute the exact values of the Hausdorff measures of a class of self-similar sets satisfying OSC.更多还原