КОД (ISBN):
6130344058
6130344058
Книга: Ramsey theory: Frank P. Ramsey, Mathematics, Pigeonhole Principle, Graph Theory, Ramsey's Theorem, Theorem on Friends and Strangers, Van der Waerden's Theorem, Arithmetic Progression
Товар № 10196543
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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.
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