• geometry, Beck's theorem is any of several different results, two of which are given below. Both appeared, alongside several other important theorems...
    7 KB (1,102 words) - 23:42, 1 October 2023
  • Mock Beck, on monadic functors in category theory Beck's theorem (geometry) (1983) by József Beck, on finite collections of points in discrete geometry This...
    333 bytes (77 words) - 18:20, 14 November 2017
  • branch of mathematics, Beck's monadicity theorem gives a criterion that characterises monadic functors, introduced by Jonathan Mock Beck (2003) in about 1964...
    9 KB (1,050 words) - 05:25, 24 July 2024
  • Thumbnail for Geometry of numbers
    enumerate the lattice points in some convex bodies. In the geometry of numbers, the subspace theorem was obtained by Wolfgang M. Schmidt in 1972. It states...
    9 KB (1,054 words) - 20:14, 15 October 2024
  • Thumbnail for Pick's theorem
    In geometry, Pick's theorem provides a formula for the area of a simple polygon with integer vertex coordinates, in terms of the number of integer points...
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  • (See below.) The Szemerédi–Trotter theorem has a number of consequences, including Beck's theorem in incidence geometry and the Erdős-Szemerédi sum-product...
    16 KB (2,433 words) - 10:21, 18 August 2024
  • theorem (vector bundles) Beck's monadicity theorem (category theory) Beck's theorem (incidence geometry) Beckman–Quarles theorem (Euclidean geometry)...
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  • in terms of the implicit constants. This result can be used to prove Beck's theorem. A similar bound for the number of incidences is conjectured for point-circle...
    27 KB (3,316 words) - 07:34, 29 August 2023
  • Thumbnail for Sylvester–Gallai theorem
    The Sylvester–Gallai theorem in geometry states that every finite set of points in the Euclidean plane has a line that passes through exactly two of the...
    41 KB (5,243 words) - 02:53, 8 September 2024
  • 3295, MR 1932078, S2CID 8136773. Beck, Matthias; Zaslavsky, Thomas (2003), "A Meshalkin theorem for projective geometries", Journal of Combinatorial Theory...
    12 KB (2,010 words) - 10:08, 15 September 2022