geometry, Beck's theorem is any of several different results, two of which are given below. Both appeared, alongside several other important theorems...
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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...
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branch of mathematics, Beck's monadicity theorem gives a criterion that characterises monadic functors, introduced by Jonathan Mock Beck (2003) in about 1964...
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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...
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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...
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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...
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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...
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3295, MR 1932078, S2CID 8136773. Beck, Matthias; Zaslavsky, Thomas (2003), "A Meshalkin theorem for projective geometries", Journal of Combinatorial Theory...
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