Truncated power function - Alchetron, the free social encyclopedia

In mathematics, the truncated power function with exponent n is defined as

x + n = { x n : x > 0 0 : x ≤ 0.

In particular,

x + = { x : x > 0 0 : x ≤ 0.

and interpret the exponent as conventional power.

Relations

Truncated power functions can be used for construction of B-splines.

x ↦ x + 0 is the Heaviside function.

χ [ a , b ) ( x ) = ( b − x ) + 0 − ( a − x ) + 0 where χ is the indicator function.

Truncated power functions are refinable.

(Text) CC BY-SA