Truncated power function
Encyclopedia
Definition
The truncated power function with exponent
is defined as
Alternatively, you may consider the subscript plus as an individual function with
and interpret the exponent as conventional power
Power function
In mathematics, a power function is a function of the form , where c and a are constant real numbers and x is a variable.Power functions are a special case of power law relationships, which appear throughout mathematics and statistics....
.
Relations
- Truncated power functions can be used for construction of B-SplineB-splineIn the mathematical subfield of numerical analysis, a B-spline is a spline function that has minimal support with respect to a given degree, smoothness, and domain partition. B-splines were investigated as early as the nineteenth century by Nikolai Lobachevsky...
s. -
is the Heaviside function. -
where 
is the indicator function. - Truncated power functions are refinable.