• analysis, a branch of mathematics, a selection theorem is a theorem that guarantees the existence of a single-valued selection function from a given set-valued...
    7 KB (920 words) - 22:38, 30 May 2024
  • In mathematics, Helly's selection theorem (also called the Helly selection principle) states that a uniformly bounded sequence of monotone real functions...
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  • Rellich–Kondrachov selection theorem, since one "selects" a convergent subsequence. (However, today the customary name is "compactness theorem", whereas "selection theorem"...
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  • Michael selection theorem is a selection theorem named after Ernest Michael. In its most popular form, it states the following: Michael Selection Theorem—Let...
    7 KB (887 words) - 22:43, 25 August 2024
  • measurable selection theorem is a result from measure theory that gives a sufficient condition for a set-valued function to have a measurable selection function...
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  • Fisher's fundamental theorem of natural selection is an idea about genetic variance in population genetics developed by the statistician and evolutionary...
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  • theorem (proof theory) Deduction theorem (logic) Diaconescu's theorem (mathematical logic) Easton's theorem (set theory) Erdős–Dushnik–Miller theorem...
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  • In mathematics, the Fraňková–Helly selection theorem is a generalisation of Helly's selection theorem for functions of bounded variation to the case of...
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  • The Blaschke selection theorem is a result in topology and convex geometry about sequences of convex sets. Specifically, given a sequence { K n } {\displaystyle...
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  • The Arzelà–Ascoli theorem is a fundamental result of mathematical analysis giving necessary and sufficient conditions to decide whether every sequence...
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  • selections (Michael selection theorem, Bressan–Colombo directionally continuous selection theorem, Fryszkowski decomposable map selection). Likewise, upper...
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  • Thumbnail for Kazimierz Kuratowski
    subsets of metric spaces; the Kuratowski and Ryll-Nardzewski measurable selection theorem; Kuratowski's post-war works were mainly focused on three strands:...
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  • shorter vectors. It is also called his selection theorem, following an older convention used in naming compactness theorems, because they were formulated in...
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  • in model theory, and the Kuratowski and Ryll-Nardzewski measurable selection theorem. He became a member of the Polish Academy of Sciences in 1967. He...
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  • mathematician after whom Helly's theorem, Helly families, Helly's selection theorem, Helly metric, and the Helly–Bray theorem were named. Helly earned his...
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  • Thumbnail for Wilhelm Blaschke
    an eponym to a number of mathematical theorems and concepts: Blaschke selection theorem Blaschke–Lebesgue theorem Blaschke product Blaschke sum Blaschke...
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  • Thumbnail for Set-valued function
    continuous selection, Kuratowski and Ryll-Nardzewski measurable selection theorem, Aumann measurable selection, and Fryszkowski selection for decomposable...
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  • In mathematical analysis, the Kakutani fixed-point theorem is a fixed-point theorem for set-valued functions. It provides sufficient conditions for a set-valued...
    25 KB (3,237 words) - 13:30, 28 September 2024
  • measurable selections is important in the theory of differential inclusions, optimal control, and mathematical economics. See Selection theorem. Nicolas...
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  • to do so. Envelope theorem Brouwer fixed point theorem Kakutani fixed point theorem for correspondences Michael selection theorem Ok, Efe (2007). Real...
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  • goto commands and exclusively uses subroutines, sequences, selection and iteration. The theorem is typically credited to a 1966 paper by Corrado Böhm and...
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  • fundamental theorem is a theorem which is considered to be central and conceptually important for some topic. For example, the fundamental theorem of calculus...
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  • theorem can mean either Ryll-Nardzewski fixed-point theorem A theorem in Omega-categorical theory Kuratowski and Ryll-Nardzewski measurable selection...
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  • Thumbnail for Infinite monkey theorem
    The infinite monkey theorem states that a monkey hitting keys independently and at random on a typewriter keyboard for an infinite amount of time will...
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  • is paracompact. Michael selection theorem. This disambiguation page lists articles associated with the title Michael's theorem. If an internal link led...
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  • A Mathematical Theory of Natural and Artificial Selection is the title of a series of scientific papers by the British population geneticist J.B.S. Haldane...
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  • and related branches of mathematics, the Banach–Alaoglu theorem (also known as Alaoglu's theorem) states that the closed unit ball of the dual space of...
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  • Thumbnail for Lebesgue's universal covering problem
    line segment (with translations allowed, but not rotations) Blaschke selection theorem, which can be used to prove that Lebesgue's universal covering problem...
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  • quantum mechanics, the Landau–Yang theorem is a selection rule for particles that decay into two on-shell photons. The theorem states that a massive particle...
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  • Thumbnail for Moser's worm problem
    a smallest convex cover. Its existence follows from the Blaschke selection theorem. It is also not trivial to determine whether a given shape forms a...
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