• Thumbnail for Radon's theorem
    In geometry, Radon's theorem on convex sets, published by Johann Radon in 1921, states that: Any set of d + 2 points in Rd can be partitioned into two...
    17 KB (2,323 words) - 00:55, 28 April 2024
  • In mathematics, the Radon–Nikodym theorem is a result in measure theory that expresses the relationship between two measures defined on the same measurable...
    23 KB (3,596 words) - 08:59, 4 June 2024
  • Thumbnail for Helly's theorem
    nonempty intersection. We prove the finite version, using Radon's theorem as in the proof by Radon (1921). The infinite version then follows by the finite...
    9 KB (956 words) - 22:06, 27 September 2024
  • Thumbnail for Tverberg's theorem
    from this theorem is known as a Tverberg partition. The special case r = 2 was proved earlier by Radon, and it is known as Radon's theorem. The case d = 1...
    7 KB (945 words) - 08:51, 8 September 2024
  • Thumbnail for Johann Radon
    reconstruction); Radon's theorem, that d + 2 points in d dimensions may always be partitioned into two subsets with intersecting convex hulls; the Radon–Hurwitz...
    6 KB (573 words) - 08:50, 20 August 2024
  • analysis) Rado's theorem (harmonic analysis) Radon's theorem (convex sets) Radon–Nikodym theorem (measure theory) Raikov's theorem (probability) Ramanujam...
    73 KB (6,015 words) - 12:17, 2 August 2024
  • Helly's theorem Kirchberger's theorem N-dimensional polyhedron Radon's theorem, and its generalization Tverberg's theorem Krein–Milman theorem Choquet...
    14 KB (2,153 words) - 21:04, 8 July 2024
  • classical problem of differential topology, beginning with the hairy ball theorem, and early work on the classification of division algebras. Specifically...
    5 KB (646 words) - 11:04, 13 July 2023
  • Thumbnail for Convex set
    Holomorphically convex hull Integrally-convex set John ellipsoid Pseudoconvexity Radon's theorem Shapley–Folkman lemma Symmetric set Morris, Carla C.; Stark, Robert...
    25 KB (3,068 words) - 21:18, 3 October 2024
  • theorem, Carathéodory's theorem, and Radon's theorem all postdate Kirchberger's theorem. A strengthened version of Kirchberger's theorem fixes one of the given...
    8 KB (902 words) - 18:43, 27 November 2023