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Dimension
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===Hausdorff dimension=== The [[Hausdorff dimension]] is useful for studying structurally complicated sets, especially [[fractal]]s. The Hausdorff dimension is defined for all [[metric space]]s and, unlike the dimensions considered above, can also have non-integer real values.<ref name="Hausdorff dimension">[http://math.bu.edu/DYSYS/chaos-game/node6.html Fractal Dimension] {{webarchive|url=https://web.archive.org/web/20061027003440/http://math.bu.edu/DYSYS/chaos-game/node6.html |date=2006-10-27 }}, Boston University Department of Mathematics and Statistics</ref> The [[box-counting dimension|box dimension]] or [[Minkowski dimension]] is a variant of the same idea. In general, there exist more definitions of [[fractal dimension]]s that work for highly irregular sets and attain non-integer positive real values.
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