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continuum of numbers

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  • Continuum (John Mayer album) — Continuum Studio album by John Mayer Released September 9, 2006 …   Wikipedia

  • Continuum — may refer to: Continuum (theory), anything that goes through a gradual transition from one condition, to a different condition, without any abrupt changes Contents 1 Linguistics 2 Mathematics …   Wikipedia

  • continuum — [kən tin′yo͞o əm] n. pl. continua [kən tin′yo͞o ə] or continuums [L, neut. of continuus] 1. a continuous whole, quantity, or series; thing whose parts cannot be separated or separately discerned 2. Math. the set of all real numbers: See also… …   English World dictionary

  • Continuum hypothesis — This article is about the hypothesis in set theory. For the assumption in fluid mechanics, see Fluid mechanics. In mathematics, the continuum hypothesis (abbreviated CH) is a hypothesis, advanced by Georg Cantor in 1877[citation needed], about… …   Wikipedia

  • continuum hypothesis — Math. a conjecture of set theory that the first infinite cardinal number greater than the cardinal number of the set of all positive integers is the cardinal number of the set of all real numbers. [1935 40] * * * ▪ mathematics       statement of… …   Universalium

  • Continuum (mathematics) — In mathematics, the word continuum has at least two distinct meanings, outlined in the sections below. For other uses see Continuum.Ordered setThe term the continuum sometimes denotes the real line. Somewhat more generally a continuum is a… …   Wikipedia

  • Continuum (set theory) — In the mathematical field of set theory, the continuum means the real numbers, or the corresponding cardinal number, . The cardinality of the continuum is the size of the real numbers. The continuum hypothesis is sometimes stated by saying that… …   Wikipedia

  • Continuum (role-playing game) — C°ntinuum roleplaying in The Yet C°ntinuum cover; illustrated by Mike Kaluta. Designer(s) Chris Adams, Dave Fooden, Barbara Manui Illustrator(s) …   Wikipedia

  • continuum hypothesis — The hypothesis proposed by Cantor that there is no set with a cardinality greater than that of the natural numbers but less than the cardinality of the set of all subsets of the set of natural numbers (the power set of that set). The generalized… …   Philosophy dictionary

  • Continuum function — The continuum function is , i.e. raising 2 to the power of κ using cardinal exponentiation. Given a cardinal number, it is the cardinality of the power set of a set of the given cardinality. See also Continuum hypothesis Cardinality of the… …   Wikipedia

  • continuum — noun /kənˈtɪnjuəm/ a) A continuous series or whole, no part of which is noticeably different from its adjacent parts, although the ends or extremes of it are very different from each other. b) The set of all real numbers and, more generally, a… …   Wiktionary

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