Hausdorff dimension is a measure of roughness, or more specifically, fractal dimension, that was introduced in 1918 by mathematician Felix Hausdorff....

the Hausdorff-Besicovitch dimension strictly exceeds the topological dimension." Presented here is a list of fractals, ordered by increasing Hausdorff dimension...

one-dimensional Hausdorff measure of a simple curve in R n {\displaystyle \mathbb {R} ^{n}} is equal to the length of the curve, and the two-dimensional Hausdorff measure...

of the concept of a fractal dimension through the work of Hausdorff in the early 1900s who defined a "fractional" dimension that has come to be named after...

leads to the definition of the Minkowski dimension and its more sophisticated variant, the Hausdorff dimension, but there are also other answers to that...

r i d < δ . {\displaystyle \sum _{i\in I}r_{i}^{d}<\delta .} The Hausdorff dimension of X is defined by dim H ⁡ ( X ) := inf { d ≥ 0 : C H d ( X ) = 0...

named after him: Hausdorff completion Hausdorff convergence Hausdorff density Hausdorff dimension Hausdorff distance Hausdorff gap Hausdorff maximal principle...

Hausdorff (1868–1942), the German mathematician after whom Hausdorff spaces are named Hausdorff dimension, a measure theoretic concept of dimension Hausdorff...

and lower box dimensions are strongly related to the more popular Hausdorff dimension. Only in very special applications is it important to distinguish...

should concern the Hausdorff dimension of the set of badly approximable numbers. And indeed, V. Jarník proved that the Hausdorff dimension of this set is...