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In the [[mathematical]] subfield of [[numerical analysis]] the '''truncated power function''' is a generalization of the [[indicator function]].
==Definition==
Given a function ''f'' the '''truncated power function''' is defined as
:<math>f_+^n :=
\left\{\begin{matrix}
f^n &\mbox{if}\ f \ge 0 \\
0 &\mbox{if}\ f < 0
\end{matrix}\right.
</math>
==Notes==
:<math>\chi_{(a,b]}(x) = (b-x)_+^0 - (a-x)_+^0</math>
==External Links==
[http://mathworld.wolfram.com/TruncatedPowerFunction.html Truncated Power Function on MathWorld]
[[Category:Numerical analysis]]
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