log3
log3
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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。