• Thumbnail for Kakeya set
    In mathematics, a Kakeya set, or Besicovitch set, is a set of points in Euclidean space which contains a unit line segment in every direction. For instance...
    27 KB (3,421 words) - 13:28, 9 June 2024
  • Kakeya may refer to: Kakeya, Shimane town Sōichi Kakeya, mathematician Kakeya set in mathematics This disambiguation page lists articles associated with...
    131 bytes (45 words) - 14:50, 9 October 2023
  • Thumbnail for Sōichi Kakeya
    Sōichi Kakeya (掛谷 宗一, Kakeya Sōichi, January 18, 1886 – January 9, 1947) was a Japanese mathematician who worked mainly in mathematical analysis and who...
    3 KB (150 words) - 19:24, 27 July 2024
  • outline Dvir's proof of the Finite Field Kakeya Conjecture using the polynomial method. Finite Field Kakeya Conjecture: Let F q {\displaystyle \mathbb...
    9 KB (1,385 words) - 05:20, 22 January 2024
  • shape that can be rotated and translated through an L-shaped corridor Kakeya set, a set of minimal area that can accommodate every unit-length line segment...
    7 KB (784 words) - 09:52, 2 June 2024
  • lemma and the Cauchy–Binet formula Four proofs of Cayley's formula Kakeya sets in vector spaces over finite fields Bregman–Minc inequality Dinitz problem...
    5 KB (454 words) - 06:52, 11 July 2024
  • fractional Hausdorff dimension, and a variant of the Kakeya set problem on the Hausdorff dimension of sets such that, for every possible direction, there is...
    9 KB (981 words) - 13:09, 10 June 2024
  • tangents, densities, projections, etc. Orthogonal projections, Kakeya sets, Besicovitch sets Uniform rectifiability Rectifiability and uniform rectifiability...
    7 KB (811 words) - 06:42, 10 September 2023
  • Nikodym sets are closely related to Kakeya sets (also known as Besicovitch sets). The existence of Nikodym sets is sometimes compared with the Banach–Tarski...
    2 KB (216 words) - 15:37, 10 October 2023
  • Thumbnail for Lebesgue's universal covering problem
    shape that can be rotated and translated through an L-shaped corridor Kakeya set, a set of minimal area that can accommodate every unit-length line segment...
    5 KB (550 words) - 22:07, 25 February 2023