Ramsey theory

Ramsey theory
A branch of mathematics which deals with the unexpected patterns which inevitably arise in sufficiently large data sets.

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  • Ramsey theory — This article provides an introduction. For a more detailed and technical article, see Ramsey s theorem. Ramsey theory, named for Frank P. Ramsey, is a branch of mathematics that studies the conditions under which order must appear. Problems in… …   Wikipedia

  • Ergodic Ramsey theory — is a branch of mathematics where problems motivated by additive combinatorics are proven using ergodic theory.Ergodic Ramsey theory arose shortly after Endre Szemerédi s proof that a set of positive upper density contains arbitrarily long… …   Wikipedia

  • Rado's theorem (Ramsey theory) — There is also a Rado s theorem about harmonic functions. Rado s theorem is a theorem from the branch of mathematics known as Ramsey theory. It is named for the English mathematician Richard Rado.Let Ax=0 be a system of linear equations, where A… …   Wikipedia

  • Large set (Ramsey theory) — For other uses of the term, see Large set. In Ramsey theory, a set S of natural numbers is considered to be a large set if and only if Van der Waerden s theorem can be generalized to assert the existence of arithmetic progressions with common… …   Wikipedia

  • Ramsey — may refer to:In places in the United Kingdom: * Ramsey, Cambridgeshire, a small market town in England * Ramsey Abbey, historic ecclesiastical centre near Ramsey, Cambridgeshire * Ramsey Island, off the coast of the St David s peninsula in… …   Wikipedia

  • Ramsey's theorem — This article goes into technical details quite quickly. For a slightly gentler introduction see Ramsey theory. In combinatorics, Ramsey s theorem states that in any colouring of the edges of a sufficiently large complete graph (that is, a simple… …   Wikipedia

  • Ramsey-Theorie — Die Ramseytheorie (nach Frank Plumpton Ramsey) ist ein Zweig der Kombinatorik innerhalb der Diskreten Mathematik. Sie behandelt die Frage, wie viele Elemente aus einer mit einer gewissen Struktur versehenen Menge ausgewählt werden müssen, damit… …   Deutsch Wikipedia

  • Ramsey (surname) — See also Ramsay for surnames. Ramsey is a surname, and may refer to:* Baron de Ramsey, a title in the Peerage of the United Kingdom, created in 1887 * Aaron Ramsey (1990 ndash;), Welsh footballer * Alexander Ramsey (1815 ndash;1903), American… …   Wikipedia

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  • Ramsey Dukes — is the current and most well known pen name of Lionel Snell, a contemporary magician, publisher and author on magick and philosophy. He also wrote under the pen name Lemuel Johnston.In his youth, Snell enjoyed a series of scholarships. They… …   Wikipedia

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