High Quality Content by WIKIPEDIA articles! In mathematics, the
Hausdorff dimension (also known as the Hausdorff-Besicovitch
dimension) is an extended non-negative real number associated to
any metric space. The Hausdorff dimension generalizes the notion of
the dimension of a real vector space. That is, the Hausdorff
dimension of an n-dimensional vector space equals n. This means,
for example the Hausdorff dimension of a point is zero, the
Hausdorff dimension of a line is one, and the Hausdorff dimension
of the plane is two. There are however many irregular sets that
have noninteger Hausdorff dimension. The concept was introduced in
1918 by the mathematician Felix Hausdorff. Many of the technical
developments used to compute the Hausdorff dimension for highly
irregular sets were obtained by Abram Samoilovitch Besicovitch.
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