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[[Image:Periodic.jpg_ECE301Fall2008mboutin|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>.]] | [[Image:Periodic.jpg_ECE301Fall2008mboutin|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>.]] | ||
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| + | == Non-Periodic Functions == | ||
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| + | 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. | ||
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| + | [[Image:Nonperiodic.jpg_ECE301Fall2008mboutin|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 | ||
Revision as of 10:41, 2 September 2008
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 :$ f(x) = sin(x)\,\! $ is a periodic function with a Period :$ T = 2*\pi\,\! $.
This sine wave function repeats itself every period of :$ 2*\pi,\! $
File:Periodic.jpg ECE301Fall2008mboutin
Periodic function $ f(x) = sin(x) $. The graph consists of copies of the values $ T = 0 $ to $ T = 2*\pi $.
Non-Periodic Functions
The Function :$ f(x) = cos(e^x)\,\! $ is non-periodic since the graph does not consist of copies of one part of the graph positioned one after the other.
File:Nonperiodic.jpg ECE301Fall2008mboutin
Non-Periodic function $ f(x) = cos(e^x) $. The graph has no visible repeated copies of one part of the graph.
