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→Hausdorff measurement
===Hausdorff measurement===
===Hausdorff measurement豪斯多夫分形测量===
The Hausdorff outer measure is different from the unbounded Hausdorf content in that rather than considering all possible coverings of ''S'', we see what happens when the sizes of the balls go to zero. This is for <math>d \geq 0 </math>, we define the ''d''-dimensional Hausdorff outer measure of ''S'' as
The Hausdorff outer measure is different from the unbounded Hausdorf content in that rather than considering all possible coverings of ''S'', we see what happens when the sizes of the balls go to zero. This is for <math>d \geq 0 </math>, we define the ''d''-dimensional Hausdorff outer measure of ''S'' as
数学函数 h ^ d (s) : lim { r to 0} inf Bigl sum i r i ^ d: text {有一个{ s text by balls with radii }0 r i r Bigr }的封面。 数学
数学函数 h ^ d (s) : lim { r to 0} inf Bigl sum i r i ^ d: text {有一个{ s text by balls with radii }0 r i r Bigr }的封面。 数学
===Hausdorff dimension===
===Hausdorff dimension===