• the Hausdorff-Besicovitch dimension strictly exceeds the topological dimension." Presented here is a list of fractals, ordered by increasing Hausdorff dimension...
    52 KB (1,139 words) - 21:11, 7 August 2024
  • 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...
    44 KB (4,750 words) - 05:42, 4 June 2024
  • Thumbnail for Felix Hausdorff
    named after him: Hausdorff completion Hausdorff convergence Hausdorff density Hausdorff dimension Hausdorff distance Hausdorff gap Hausdorff maximal principle...
    55 KB (7,450 words) - 11:19, 18 July 2024
  • systems, the concept of Lyapunov dimension was suggested by Kaplan and Yorke for estimating the Hausdorff dimension of attractors. Further the concept...
    10 KB (1,571 words) - 00:57, 30 March 2023
  • Thumbnail for Four-dimensional space
    Four-dimensional space (4D) is the mathematical extension of the concept of three-dimensional space (3D). Three-dimensional space is the simplest possible...
    44 KB (5,322 words) - 04:41, 17 October 2024
  • Thumbnail for Five-dimensional space
    A five-dimensional space is a space with five dimensions. In mathematics, a sequence of N numbers can represent a location in an N-dimensional space....
    15 KB (1,598 words) - 23:59, 8 June 2024
  • A two-dimensional space is a mathematical space with two dimensions, meaning points have two degrees of freedom: their locations can be locally described...
    7 KB (803 words) - 22:02, 19 August 2024
  • Thumbnail for Three-dimensional space
    In geometry, a three-dimensional space (3D space, 3-space or, rarely, tri-dimensional space) is a mathematical space in which three values (coordinates)...
    34 KB (4,829 words) - 08:59, 5 October 2024
  • The Hausdorff paradox is a paradox in mathematics named after Felix Hausdorff. It involves the sphere S 2 {\displaystyle {S^{2}}} (the surface of a 3-dimensional...
    3 KB (451 words) - 07:09, 17 October 2024
  • dimension. The Gromov–Hausdorff distance turns the set of all isometry classes of compact metric spaces into a metric space, called Gromov–Hausdorff space...
    9 KB (993 words) - 19:21, 17 August 2024