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Bijection - Composition and inverses | A Wisdom Archive on Bijection - Composition and inverses | | Bijection - Composition and inverses A selection of articles related to Bijection - Composition and inverses | |
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Bijection, Bijection - Bijections and cardinality, Bijection - Bijections and category theory, Bijection - Category theory, Bijection - Composition and inverses, Bijection - Examples and counterexamples, Bijection - Properties, injective function, isomorphism, permutation, symmetric group, surjective function
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ARTICLES RELATED TO Bijection - Composition and inverses | | | |  Bijection - Composition and inverses: Encyclopedia II - Bijection - Composition and inversesA function f is bijective if and only if its inverse relation f-1 is a function. In that case, f-1 is a bijection.
The composition (mathematics) gf of two bijections f XY and g YZ is a bijection. The inverse of gf is (gf)-1 = (f-1)(g-1).
On the other hand, if the composition g o f of two functions is bijective, we can only say ...
See also:Bijection, Bijection - Composition and inverses, Bijection - Bijections and cardinality, Bijection - Examples and counterexamples, Bijection - Properties, Bijection - Bijections and category theory, Bijection - Properties, Bijection - Category theory Read more here: » Bijection: Encyclopedia II - Bijection - Composition and inverses |
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