Difference between revisions of "Identity"

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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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Let $X$ be any set. The function $\mathrm{id} \colon X \rightarrow X$ defined by $\mathrm{id}(x)=x$ is called the identity on $X$.
  
 
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<div align="center">
 
<gallery>
 
<gallery>
File:Complexidentity.png|[[Domain coloring]] of [[analytic continuation]] of $\mathrm{id}$ with $X=\mathbb{C}$.
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File:Identityplot.png|Plot of $\mathrm{id}$ with $X=\mathbb{R}$.
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File:Complexidentityplot.png|[[Domain coloring]] of $\mathrm{id}$ with $X=\mathbb{C}$.
 
</gallery>
 
</gallery>
 
</div>
 
</div>
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=Properties=
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=References=
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[[Category:SpecialFunction]]

Latest revision as of 23:02, 25 December 2016

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

Properties

References