Truncated power function: Difference between revisions

Revision as of 09:42, 14 September 2011

Revision as of 09:46, 14 September 2011

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and interpret the exponent as conventional [[power function|power]].

==NotesRelations==

* Truncated power functions can be used for construction of [[B-Spline]]s.

:<math>\chi_{(a,b]}(x) = (b-x)_+^0 - (a-x)_+^0</math>

* <math>x \mapsto x_+^0</math> is the [[Heaviside function]].

:* <math>\chi_{(a,b]}(x) = (b-x)_+^0 - (a-x)_+^0</math> where <math>\chi</math> is the [[indicator function]].

* Truncated power functions are [[refinable function|refinable]].

==External links==