bijective function

  • 61Epimorphism — In category theory an epimorphism (also called an epic morphism or an epi) is a morphism f : X rarr; Y which is right cancellative in the following sense: : g 1 o f = g 2 o f implies g 1 = g 2 for all morphisms g 1, g 2 : Y rarr; Z .Epimorphisms… …

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  • 62Ring homomorphism — In ring theory or abstract algebra, a ring homomorphism is a function between two rings which respects the operations of addition and multiplication. More precisely, if R and S are rings, then a ring homomorphism is a function f : R → S such that …

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  • 63Horizontal line test — In mathematics, the horizontal line test is a test used to determine if a function is injective, surjective or bijective.Suppose there is a function f : X → Y with a graph., and you have a horizontal line of X x Y :y 0 in Y, {(x,y 0): x in X} =… …

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  • 64Operator (mathematics) — This article is about operators in mathematics. For other uses, see Operator (disambiguation). In basic mathematics, an operator is a symbol or function representing a mathematical operation. In terms of vector spaces, an operator is a mapping… …

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  • 65Cantor's theorem — Note: in order to fully understand this article you may want to refer to the set theory portion of the table of mathematical symbols. In elementary set theory, Cantor s theorem states that, for any set A , the set of all subsets of A (the power… …

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  • 66Model theory — This article is about the mathematical discipline. For the informal notion in other parts of mathematics and science, see Mathematical model. In mathematics, model theory is the study of (classes of) mathematical structures (e.g. groups, fields,… …

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  • 67Catalan number — For names of numbers in Catalan, see List of numbers in various languages#Occitano Romance. In combinatorial mathematics, the Catalan numbers form a sequence of natural numbers that occur in various counting problems, often involving recursively… …

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  • 68Quantum circuit — In quantum information theory, a quantum circuit is a model for quantum computation in which a computation is a sequence of reversible transformations on a quantum mechanical analog of an n bit register. This analogous structure is referred to as …

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  • 69Unary numeral system — The unary numeral system is the bijective base 1 numeral system. It is the simplest numeral system to represent natural numbers: in order to represent a number N , an arbitrarily chosen symbol representing 1 is repeated N times. For example,… …

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  • 70Isometry — For the mechanical engineering and architecture usage, see isometric projection. For isometry in differential geometry, see isometry (Riemannian geometry). In mathematics, an isometry is a distance preserving map between metric spaces. Geometric… …

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