(Periodic Function)
 
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== Non-Periodic Function ==
 
== Non-Periodic Function ==
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A function is said to be non-periodic with no certain pattern period. So, f(x) is not equal to f(x+np)
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For example, <math> f(x)=e^x </math>
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[[image:exp.gif]]

Latest revision as of 14:24, 5 September 2008

Periodic Function

A function is said to be periodic (or, when emphasizing the presence of a single period instead of multiple periods, singly periodic) with period

if $ f(x)=f(x+np) $ for , 2, ....

For example, the sine function $ f(x)=sin(x) $, illustrated below, is periodic with least period $ 2\pi $ (often simply called the period)

File:Periodic.gif

Non-Periodic Function

A function is said to be non-periodic with no certain pattern period. So, f(x) is not equal to f(x+np)

For example, $ f(x)=e^x $

File:Exp.gif

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