Revision as of 16:00, 5 September 2008 by Moellerb (Talk)

Calculating the Energy of a Function

To calculate the energy of a function, use the following equation.

$ E=\int_{t1}^{t2}{|f(t)|^2dt} $

For clarity, follow the example below.

$ E=\int_{0}^{2\pi}{|2sin(t)|^2dt} $


$ E=2\int_{0}^{2\pi}{|sin(t)|^2dt} $


$ E=\int_0^{2\pi}(1-cos(2t))dt $


$ E=(t-\frac{1}{2}sin(2t))|_{t=0}^{t=2\pi} $


$ E=(t=2\pi} $

Alumni Liaison

Correspondence Chess Grandmaster and Purdue Alumni

Prof. Dan Fleetwood