In mathematics, Hausdorff measure is a generalization of the traditional notions of area and volume to non-integer dimensions, specifically fractals and their Hausdorff dimensions. It is a type of outer measure, named for Felix Hausdorff, that assigns a number in [0,∞] to each set in R n {\displaystyle \mathbb {R} ^{n}} or, more generally, in any metric space.
In mathematics, Hausdorff measure is a generalization of the traditional notions of area and volume to non-integer dimensions, specifically fractals and their Hausdorff dimensions. It is a type of outer measure, named for Felix Hausdorff, that assigns a number in [0,∞] to each set in R n {\displaystyle \mathbb {R} ^{n}} or, more generally, in any metric space.
Source: Wikipedia "Hausdorff measure" · CC BY-SA 4.0
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