In mathematics, the cardinality of a set is the number of its members, which may be infinite. The cardinality or cardinal number of a set A {\displaystyle...

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...

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...

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...

Within data modelling, cardinality is the numerical relationship between rows of one table and rows in another. Common cardinalities include one-to-one,...

Look up Cardinal or cardinal in Wiktionary, the free dictionary. Cardinal or The Cardinal most commonly refers to Cardinal (Catholic Church), a senior...

term cardinality refers to the uniqueness of data values contained in a particular column (attribute) of a database table. The lower the cardinality, the...

lowercase Greek letter omega), also has cardinality ℵ 0 {\displaystyle \aleph _{0}} . A set has cardinality ℵ 0 {\displaystyle \aleph _{0}} if and only...

computation or estimation of the cardinality of finite sets. The cardinality of an infinite set is commonly represented by a cardinal number, exactly as the number...

particular maximum-cardinality matching in which prioritized vertices are matched first. The problem of finding a maximum-cardinality matching in hypergraphs...

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...

Calculating the exact cardinality of the distinct elements of a multiset requires an amount of memory proportional to the cardinality, which is impractical...

A cardinal is a senior member of the clergy of the Catholic Church. As titular members of the clergy of the Diocese of Rome, they serve as advisors to...

of cardinality κ {\displaystyle \kappa } . Then X {\displaystyle X} has cardinality at most 2 2 κ {\displaystyle 2^{2^{\kappa }}} and cardinality at most...

form a set of the same cardinality as the α-th number class. The cardinality of the (α + 1)-th number class is the cardinality immediately following that...

) Perhaps the simplest cardinal invariants of a topological space X {\displaystyle X} are its cardinality and the cardinality of its topology, denoted...

In set theory, the concept of cardinality is significantly developable without recourse to actually defining cardinal numbers as objects in the theory...

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...

Equinumerous sets are said to have the same cardinality (number of elements). The study of cardinality is often called equinumerosity (equalness-of-number)...

The Arizona Cardinals are a professional American football team based in the Phoenix metropolitan area. The Cardinals compete in the National Football...

ordinals. That is, the successor cardinal is the cardinality of the least ordinal into which a set of the given cardinality can be mapped one-to-one, but...

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 ∩...

The Cardinal is a 1963 American drama film produced independently, directed by Otto Preminger and distributed by Columbia Pictures. The screenplay was...

inaccessible cardinal κ {\displaystyle \kappa } describe a cardinality κ {\displaystyle \kappa } which can not be obtained as the cardinality of a result...

[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...

refined with respect to cardinality. A theory is κ-categorical (or categorical in κ) if it has exactly one model of cardinality κ up to isomorphism. Morley's...

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...

has cardinality strictly larger than C. Demonstrating a cardinality (namely that of 2C) larger than C, which was assumed to be the greatest cardinal number...

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):...

is equal to c {\displaystyle {\mathfrak {c}}} , the cardinality of the continuum (the cardinality of the set of the real numbers), and the third beth...