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) - 23:59, 8 January 2024
the Hausdorff–Besicovitch dimension. These two particular areas have proved increasingly important as the years have gone by. The Kovner–Besicovitch measure...
9 KB (737 words) - 12:43, 12 March 2024
fractal set is one for which the fractal (Hausdorff-Besicovitch) dimension strictly exceeds the topological dimension Sharifi-Viand, A.; Mahjani, M. G.; Jafarian...
44 KB (4,750 words) - 06:03, 25 May 2024
is by definition a set for which the Hausdorff–Besicovitch dimension strictly exceeds the topological dimension." Later, seeing this as too restrictive...
74 KB (8,030 words) - 02:41, 26 May 2024
fact fails for every infinite-dimensional Gaussian measure on any (infinite-dimensional) separable Hilbert space. Besicovitch covering theorem (Vitali 1908)...
21 KB (3,323 words) - 22:02, 11 May 2024
Diophantine approximation (category CS1 German-language sources (de))
Lebesgue measure zero. The Jarník-Besicovitch theorem, due to V. Jarník and A. S. Besicovitch, states that the Hausdorff dimension of this set is equal to 1 /...
30 KB (4,058 words) - 14:28, 2 May 2024
Vojtěch Jarník (category CS1 German-language sources (de))
these have the smaller Hausdorff dimension 2/k. The second of these results was later rediscovered by Besicovitch. Besicovitch used different methods...
20 KB (2,190 words) - 01:40, 3 January 2024
original proof that the Hausdorff–Young inequality cannot be extended to p > 2 {\displaystyle p>2} is probabilistic. The proof of the de Leeuw–Kahane–Katznelson...
16 KB (1,849 words) - 15:27, 22 April 2024
List of Jewish mathematicians (category CS1 German-language sources (de))
mathematical analysis Ludwig Berwald (1883–1942), differential geometry Abram Besicovitch (1891–1970), mathematician (Karaite) Paul Biran (born 1969), symplectic...
179 KB (15,754 words) - 20:03, 10 May 2024