Identity function: Difference between revisions
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In [[mathematics]], the '''identity function''' on a set ''X'' is the [[function (mathematics)|function]] from ''X'' to itself which maps each element to itself: | In [[mathematics]], the '''identity function''' on a set ''X'' is the [[function (mathematics)|function]] from ''X'' to itself which maps each element to itself: | ||
Latest revision as of 15:38, 7 February 2009
In mathematics, the identity function on a set X is the function from X to itself which maps each element to itself:
The identity function is invertible (and is its own inverse function). It is a permutation of the set, and is the identity element of the symmetric group on X.