# Function - Identity

An identity function is an algebraic law that defines when the output of the function is equal to the input.

## Linear Algebra

For any domain D: each domain element d map to itself:

 $id_D : D \rightarrow D$

## Example

Addition (+) $$x+0 = x$$

Division: (/) $$\frac{x}{1} = x$$

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(Function|Operator) - Algebraic (Laws|properties) - Axioms

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