View source for HW1.4 Max Paganini - Periodic and Non-Periodic Functions ECE301Fall2008mboutin - Rhea

=Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
<span style="color:green"> Read the instructor's comments [[hw1periodicECE301f08profcomments|here]]. </span>

== Periodic Functions ==

A Periodic Function is a function where the entire graph is formed from copies of a particular portion at specified intervals.

The Function :<math>f(x) = sin(x)\,\!</math> is a periodic function with a Period :<math>T = 2*\pi\,\!</math>.

This sine wave function repeats itself every period of :<math> 2*\pi,\!</math>

[[Image:Periodic‎_ECE301Fall2008mboutin.jpg|frame|center|Periodic function <math>f(x) = sin(x)</math>. The graph consists of copies of the values <math>T = 0</math> to <math>T = 2*\pi</math>.]]

== Non-Periodic Functions ==

The Function :<math>f(x) = cos(e^x)\,\!</math> is non-periodic since the graph does not consist of copies of one part of the graph positioned one after the other.

[[Image:Nonperiodic‎_ECE301Fall2008mboutin.jpg|frame|center|Non-Periodic function <math>f(x) = cos(e^x)</math>. The graph has no visible repeated copies of one part of the graph.]]


== Sources ==

http://en.wikipedia.org/wiki/Periodic_function