• Thumbnail for Cardinality
    of infinite sets as something that had cardinality. To better understand infinite sets, a notion of cardinality was formulated c. 1880 by Georg Cantor...
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  • Thumbnail for Cardinal number
    rank among the infinite cardinals. Cardinality is defined in terms of bijective functions. Two sets have the same cardinality if, and only if, there is...
    26 KB (3,808 words) - 01:08, 27 April 2024
  • term cardinality refers to the uniqueness of data values contained in a particular column (attribute) of a database table. The lower the cardinality, the...
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  • In set theory, the cardinality of the continuum is the cardinality or "size" of the set of real numbers R {\displaystyle \mathbb {R} } , sometimes called...
    16 KB (2,375 words) - 13:31, 19 September 2024
  • Within data modelling, cardinality is the numerical relationship between rows of one table and rows in another. Common cardinalities include one-to-one,...
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  • Thumbnail for Aleph number
    Aleph number (category Cardinal numbers)
    letter aleph (ℵ). The cardinality of the natural numbers is ℵ0 (read aleph-nought, aleph-zero, or aleph-null), the next larger cardinality of a well-ordered...
    16 KB (1,957 words) - 08:24, 25 September 2024
  • Look up cardinality in Wiktionary, the free dictionary. Cardinality may refer to: Cardinality of a set, a measure of the "number of elements" of a set...
    535 bytes (116 words) - 14:46, 2 November 2021
  • Calculating the exact cardinality of the distinct elements of a multiset requires an amount of memory proportional to the cardinality, which is impractical...
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  • Thumbnail for Set (mathematics)
    statement that there is no set with cardinality strictly between the cardinality of the natural numbers and the cardinality of a straight line. In 1963, Paul...
    41 KB (4,806 words) - 20:44, 29 September 2024
  • Continuum hypothesis (category Cardinal numbers)
    numbers is the same size (cardinality) as the set of integers: they are both countable sets. Cantor gave two proofs that the cardinality of the set of integers...
    31 KB (3,922 words) - 21:39, 11 September 2024
  • Thumbnail for Arizona Cardinals
    The Arizona Cardinals are a professional American football team based in the Phoenix metropolitan area. The Cardinals compete in the National Football...
    88 KB (7,001 words) - 04:29, 28 September 2024
  • Thumbnail for Cardinal (Catholic Church)
    A cardinal (Latin: Sanctae Romanae Ecclesiae cardinalis; lit. 'cardinal of the Holy Roman Church') is a senior member of the clergy of the Catholic Church...
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  • the count-distinct problem (also known in applied mathematics as the cardinality estimation problem) is the problem of finding the number of distinct...
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  • Thumbnail for Ordinal number
    for β < α. Its cardinality is the limit of the cardinalities of these number classes. If n is finite, the n-th number class has cardinality ⁠ ℵ n − 1 {\displaystyle...
    48 KB (6,719 words) - 01:48, 8 September 2024
  • Look up Cardinal or cardinal in Wiktionary, the free dictionary. Cardinal or The Cardinal most commonly refers to Cardinalidae, a family of North and...
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  • Thumbnail for Power set
    of subsets of S of cardinality less than or equal to κ is sometimes denoted by Pκ(S) or [S]κ, and the set of subsets with cardinality strictly less than...
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  • Uncountable set (category Cardinal numbers)
    numbers to X. The cardinality of X is neither finite nor equal to ℵ 0 {\displaystyle \aleph _{0}} (aleph-null). The set X has cardinality strictly greater...
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  • Thumbnail for Subset
    set A is a subset of B, if and only if the cardinality of their intersection is equal to the cardinality of A. Formally: A ⊆ B  if and only if  | A ∩...
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  • particular maximum-cardinality matching in which prioritized vertices are matched first. The problem of finding a maximum-cardinality matching in hypergraphs...
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  • Thumbnail for The Cardinal
    The Cardinal is a 1963 American drama film produced independently, directed by Otto Preminger and distributed by Columbia Pictures. The screenplay was...
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  • known as cardinality; informally, this is the size of a set. In the above examples, the cardinality of the set A is 4, while the cardinality of set B...
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  • of cardinality κ {\displaystyle \kappa } . Then X {\displaystyle X} has cardinality at most 2 2 κ {\displaystyle 2^{2^{\kappa }}} and cardinality at most...
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  • Thumbnail for Infinite set
    if and only if for every natural number, the set has a subset whose cardinality is that natural number. If the axiom of choice holds, then a set is infinite...
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  • {\displaystyle 2^{\aleph _{0}}\!} , the cardinality of the power set of the natural numbers. The cardinality of the continuum is the size of the set of...
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  • Equinumerosity (category Cardinal numbers)
    Equinumerous sets are said to have the same cardinality (number of elements). The study of cardinality is often called equinumerosity (equalness-of-number)...
    14 KB (1,814 words) - 19:41, 27 April 2024
  • uncountable cardinal κ: κ is weakly compact. for every λ<κ, natural number n ≥ 2, and function f: [κ]n → λ, there is a set of cardinality κ that is homogeneous...
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  • are no intermediate cardinal numbers between ℵ 0 {\displaystyle \aleph _{0}} and the cardinality of the continuum (the cardinality of the set of real numbers):...
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  • The Cardinals were an American R&B group of the 1950s. Sharing a legacy with the Orioles, The Cardinals are remembered as one of the best R&B ballad acts...
    7 KB (1,039 words) - 18:48, 19 May 2024
  • [citation needed] The number of multisets of cardinality k, with elements taken from a finite set of cardinality n, is sometimes called the multiset coefficient...
    35 KB (4,850 words) - 11:27, 18 September 2024
  • Thumbnail for St. Louis Cardinals
    The St. Louis Cardinals are an American professional baseball team based in St. Louis. The Cardinals compete in Major League Baseball (MLB) as a member...
    232 KB (14,852 words) - 01:24, 30 September 2024