truncated power function

In mathematics, the truncated power function{{cite book

|title=Interpolation and Approximation with Splines and Fractals

|first=Peter|last=Massopust

|publisher= Oxford University Press, USA

|year=2010

|isbn=978-0-19-533654-2

|page=46

}} with exponent $n$ is defined as

:$x\_+^n\; =$

\begin{cases}

x^n &:\ x > 0 \\

0 &:\ x \le 0.

\end{cases}

In particular,

:$x\_+\; =$

\begin{cases}

x &:\ x > 0 \\

0 &:\ x \le 0.

\end{cases}

and interpret the exponent as conventional power.