rectification of antiperiodic function

Let the positive number p be the antiperiod of the real function f and

f(t)0for  0<t<p.

Then the functionMathworldPlanetmath f1 defined by

f1(t):=max{f(t), 0}={f(t)forf(t)>0,0   forf(t)0

is the half-wave rectification of f and the function f2 defined by


is the full-wave rectification of f.  They are periodic (, the former with period ( 2p and the latter with p.

The Laplace transformsDlmfMathworldPlanetmath are

Title rectification of antiperiodic function
Canonical name RectificationOfAntiperiodicFunction
Date of creation 2013-03-22 18:58:19
Last modified on 2013-03-22 18:58:19
Owner pahio (2872)
Last modified by pahio (2872)
Numerical id 6
Author pahio (2872)
Entry type Definition
Classification msc 44A10
Classification msc 26A99
Synonym rectification
Related topic MaximalNumber
Related topic LaplaceTransformOfPeriodicFunctions
Related topic MinimalAndMaximalNumber
Defines half-wave rectification
Defines full-wave rectification