Difference between revisions of "Identity"
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| − | Let $X$ be | + | 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 $X$. |
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| + | <div align="center"> | ||
| + | <gallery> | ||
| + | File:Complexidentity.png|[[Domain coloring]] of [[analytic continuation]] of $\mathrm{id}$ with $X=\mathbb{C}$. | ||
| + | </gallery> | ||
| + | </div> | ||
Revision as of 02:11, 10 August 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 $X$.
Domain coloring of analytic continuation of $\mathrm{id}$ with $X=\mathbb{C}$.
