log3

In this paper , the Hausdorff dimension and measure of a cantor set , with log2 / log3 and 1 respectively , are proven using a very elementary method . This method is then applied to a similar constructive set on a straight line .

以比较初等的方法重新证明了著名的Cantor三分集的Hasdorrff维数为s＝log2／log3，Hausdorffc测度为1，并对直线上类似的一类构造集推广了此方法。