Truncated power function

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Definition[edit]

The truncated power function[1] with exponent n is defined as

x_+^n = 
\begin{cases} 
x^n &:\ x > 0 \\
0 &:\ x \le 0.
\end{cases}

Alternatively, you may consider the subscript plus as an individual function with

x_+ = 
\begin{cases} 
x &:\ x > 0 \\
0 &:\ x \le 0.
\end{cases}

and interpret the exponent as conventional power.

Relations[edit]

External links[edit]

References[edit]

  1. ^ Massopust, Peter (2010). Interpolation and Approximation with Splines and Fractals. Oxford University Press, USA. p. 46. ISBN 0-19-533654-2.