Hausdorff Dimension
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Hausdorff Dimension

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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...