Difference between revisions of "Identity"

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File:Identityplot.png|Plot of $\mathrm{id}$ with $X=\mathbb{R}$.
 
File:Identityplot.png|Plot of $\mathrm{id}$ with $X=\mathbb{R}$.
File:Complexidentity.png|[[Domain coloring]] of [[analytic continuation]] of $\mathrm{id}$ with $X=\mathbb{C}$.
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File:Complexidentity.png|[[Domain coloring]] of $\mathrm{id}$ with $X=\mathbb{C}$.
 
</gallery>
 
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Revision as of 04:29, 9 September 2015

Let $X$ be any set. The function $\mathrm{id} \colon X \rightarrow X$ defined by $\mathrm{id}(x)=x$ is called the identity function on $X$.