Truncated power function

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In the mathematical subfield of numerical analysis the truncated power function is a generalization of the indicator function.

[edit] Definition

Given a function f the truncated power function is defined as

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

[edit] Notes

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

[edit] External links

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