Involution (mathematics)
In mathematics, an involution, involutory function, or self-inverse function is a function f that is its own inverse, f(f(x)) = x for all x in the domain of f. Equivalently, applying f twice produces the original value. The term anti-involution refers to involutions based on antihomomorphisms (see below) f(xy) = f(y) f(x) such that xy = f(f(xy)) = f( f(y) f(x) ) = f(f(x)) f(f(y)) = xy.
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(−1)F3-transposition groupAbsolute valueAdditive inverseAffine involutionAffine symmetric groupAlgebra of setsAlternative algebraAnomalous cancellationAnti-involutionAntihomomorphismAnubis (cipher)Artin transfer (group theory)Automorphisms of the symmetric and alternating groupsB-theoremBack-face cullingBaer ringBanach algebraBanach spaceBender's methodBender–Knuth involutionBinary relationBinomial transformBipartite double coverBit-reversal permutationBoolean functionBorel functional calculusBrauer–Fowler theoremC*-algebraC-symmetryCartan decompositionCategory of relationsCayley–Dickson constructionCellular Message Encryption AlgorithmCharacteristic varietyChirality (physics)Classical involution theoremClifford algebraCombinatorial mapCommutation matrix
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Involution (mathematics)
In mathematics, an involution, involutory function, or self-inverse function is a function f that is its own inverse, f(f(x)) = x for all x in the domain of f. Equivalently, applying f twice produces the original value. The term anti-involution refers to involutions based on antihomomorphisms (see below) f(xy) = f(y) f(x) such that xy = f(f(xy)) = f( f(y) f(x) ) = f(f(x)) f(f(y)) = xy.
has abstract
Een involutie in de wiskunde i ...... n het domein van afbeelding f.
@nl
Em matemática, uma involução, ...... f(x) ) = f(f(x)) f(f(y)) = xy.
@pt
En matemática, una involución ...... e x es x. O, de otra manera: ;
@es
En mathématiques, une involuti ...... iée à un phénomène de dualité.
@fr
In matematica, un'involuzione ...... de con l'elemento di partenza.
@it
In mathematics, an involution, ...... f(x) ) = f(f(x)) f(f(y)) = xy.
@en
Inom matematiken är en involut ...... invers: , eller alternativt .
@sv
Involuce je v matematice takov ...... azení se nazývá involutornost.
@cs
Involution bedeutet in der Mat ...... ort involvere „einwickeln“ ab.
@de
Inwolucja – funkcja, która ma ...... teorii kategorii na morfizmy).
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@en
title
Involution
@en
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comment
Een involutie in de wiskunde i ...... n het domein van afbeelding f.
@nl
Em matemática, uma involução, ...... f(x) ) = f(f(x)) f(f(y)) = xy.
@pt
En matemática, una involución ...... e x es x. O, de otra manera: ;
@es
En mathématiques, une involuti ...... iée à un phénomène de dualité.
@fr
In matematica, un'involuzione ...... de con l'elemento di partenza.
@it
In mathematics, an involution, ...... f(x) ) = f(f(x)) f(f(y)) = xy.
@en
Inom matematiken är en involut ...... invers: , eller alternativt .
@sv
Involuce je v matematice takov ...... azení se nazývá involutornost.
@cs
Involution bedeutet in der Mat ...... ort involvere „einwickeln“ ab.
@de
Inwolucja – funkcja, która ma ...... teorii kategorii na morfizmy).
@pl
label
Involuce (matematika)
@cs
Involucio
@eo
Involució
@ca
Involución (matemática)
@es
Involutie (wiskunde)
@nl
Involution (Mathematik)
@de
Involution (matematik)
@sv
Involution (mathematics)
@en
Involution (mathématiques)
@fr
Involuzione (teoria degli insiemi)
@it