Ramsey theory

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High Quality Content by WIKIPEDIA articles! Ramsey theory, named after Frank P. Ramsey, is a branch of mathematics that studies the conditions under which order must appear. Problems in Ramsey theory typically ask a question of the form: "how many elements of some structure must there be to guarantee that a particular property will hold?"Suppose, for example, that we know that n pigeons have been housed in m pigeonholes. How big must n be before we can be sure that at least one pigeonhole houses at least two pigeons? The answer is the pigeonhole principle: if n m, then at least one pigeonhole will have at least two pigeons in it. Ramsey's theory generalizes this principle as explained below.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786130344054
    • Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
    • Sprache Englisch
    • Größe H220mm x B5mm x T150mm
    • Jahr 2010
    • EAN 9786130344054
    • Format Fachbuch
    • ISBN 978-613-0-34405-4
    • Titel Ramsey theory
    • Untertitel Frank P. Ramsey, Mathematics, Pigeonhole Principle, Graph Theory, Ramsey's Theorem, Theorem on Friends and Strangers, Van der Waerden's Theorem, Arithmetic Progression
    • Gewicht 135g
    • Herausgeber VDM Verlag Dr. Müller e.K.
    • Anzahl Seiten 88
    • Genre Mathematik

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