Truncated power function: Difference between revisions

Revision as of 22:04, 30 October 2009

Revision as of 05:22, 20 March 2010

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#REDIRECT [[B-spline]]

{{references|date=October 2009}}

{{expert-subject|Mathematics|date=October 2009}}

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]]

{{math-stub}}