- cardinal of continuum
- мат. мощность континуума
Большой англо-русский и русско-английский словарь. 2001.
cardinal of continuum
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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 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
Cardinal number — This article describes cardinal numbers in mathematics. For cardinals in linguistics, see Names of numbers in English. In mathematics, cardinal numbers, or cardinals for short, are generalized numbers used to measure the cardinality (size) of… … 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 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 (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
Cardinal de Hartogs — Ordinal de Hartogs En théorie des ensembles, l ordinal de Hartogs d un ensemble A désigne le plus petit ordinal qui ne s injecte pas dans A. Son existence utilise le remplacement et se démontre sans l axiome de choix, contrairement au théorème de … Wikipédia en Français
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] … Useful english dictionary
Cardinality of the continuum — In mathematics, the cardinality of the continuum, sometimes also called the power of the continuum, is the size (cardinality) of the set of real numbers mathbb R (sometimes called the continuum). The cardinality of mathbb R is often denoted by… … Wikipedia
Regular cardinal — In set theory, a regular cardinal is a cardinal number that is equal to its own cofinality. So, crudely speaking, a regular cardinal is one which cannot be broken into a smaller collection of smaller parts.(The situation is slightly more… … Wikipedia
Grand cardinal — En mathématiques, et plus précisément en théorie des ensembles, un grand cardinal est un nombre cardinal transfini satisfaisant une propriété qui le distingue des ensembles constructibles avec l axiomatique usuelle (ZFC) tels que aleph zéro,… … Wikipédia en Français
