Indicator Function for Branchless Piecewise Functions

Definiiton

For piecewise functions like PDF of Uniform Continuous Probability Distribution.

$$f(x)=\{\begin{array}{ll}\frac{1}{u-l}& x\in [u,l]\\ 0& ow\end{array}$$

It can be expressed single line using Indicator Function $f(x)=\frac{1}{u-l}\ast I(x\in [u,l])$