Truncated power function

Truncated power function

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

:f_+^n := left{egin{matrix} f^n &mbox{if} f ge 0 \0 &mbox{if} f < 0end{matrix} ight.

Notes

:chi_{(a,b] }(x) = (b-x)_+^0 - (a-x)_+^0

External links

* [http://mathworld.wolfram.com/TruncatedPowerFunction.html Truncated Power Function on MathWorld]


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