Difference between revisions of "Identity"
From specialfunctionswiki
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<gallery> | <gallery> | ||
File:Identityplot.png|Plot of $\mathrm{id}$ with $X=\mathbb{R}$. | File:Identityplot.png|Plot of $\mathrm{id}$ with $X=\mathbb{R}$. | ||
| − | File:Complexidentityplot.png|[[Domain coloring]] of $\mathrm{id}$. | + | File:Complexidentityplot.png|[[Domain coloring]] of $\mathrm{id}$ with $X=\mathbb{C}$. |
</gallery> | </gallery> | ||
</div> | </div> | ||
[[Category:SpecialFunction]] | [[Category:SpecialFunction]] | ||
Revision as of 09:24, 5 June 2016
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 $X$.
Plot of $\mathrm{id}$ with $X=\mathbb{R}$.
Domain coloring of $\mathrm{id}$ with $X=\mathbb{C}$.
