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Hausdorff Dimension Jesse Russell

Hausdorff Dimension

Jesse Russell

Published February 19th 2012
ISBN : 9785511738345
Paperback
136 pages
Enter the sum

 About the Book 

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 with any metric space. The Hausdorff dimension generalizes theMoreHigh 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 with 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 inner product 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.