of equal cardinality

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• Cardinality — In mathematics, the cardinality of a set is a measure of the number of elements of the set . For example, the set A = {1, 2, 3} contains 3 elements, and therefore A has a cardinality of 3. There are two approaches to cardinality ndash; one which… …   Wikipedia

• 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

• Cardinality equals variety — The musical operation of scalar transposition shifts every note in a melody by the same number of scale steps. The musical operation of chromatic transposition shifts every note in a melody by the same distance in pitch class space. In general,… …   Wikipedia

• Integer — This article is about the mathematical concept. For integers in computer science, see Integer (computer science). Symbol often used to denote the set of integers The integers (from the Latin integer, literally untouched , hence whole : the word… …   Wikipedia

• Dimension (vector space) — In mathematics, the dimension of a vector space V is the cardinality (i.e. the number of vectors) of a basis of V. It is sometimes called Hamel dimension or algebraic dimension to distinguish it from other types of dimension. This description… …   Wikipedia

• Bipartite graph — In the mathematical field of graph theory, a bipartite graph (or bigraph) is a graph whose vertices can be divided into two disjoint sets U and V such that every edge connects a vertex in U to one in V ; that is, U and V are independent sets.… …   Wikipedia

• car|di|nal|i|ty — «KAHR duh NAL uh tee», noun. 1. the condition or property of being expressible in quantity. 2. the size of a mathematical set, without regard to the kinds of elements contained in the set: »Whenever we add one more member to an infinite set we do …   Useful english dictionary

• Banach–Tarski paradox — The Banach–Tarski paradox is a theorem in set theoretic geometry which states that a solid ball in 3 dimensional space can be split into several non overlapping pieces, which can then be put back together in a different way to yield two identical …   Wikipedia

• Pentagonal number theorem — In mathematics, the pentagonal number theorem, originally due to Euler, relates the product and series representations of the Euler function. It states that:prod {n=1}^infty (1 x^n)=sum {k= infty}^infty( 1)^kx^{k(3k 1)/2}.In other words, :(1 x)(1 …   Wikipedia

• equinumerous — adjective Having equal cardinality …   Wiktionary

• 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