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== Non-Periodic Function == | == Non-Periodic Function == | ||
| − | A function is said to be non-periodic with no certain pattern period. So, <math> f(x) | + | A function is said to be non-periodic with no certain pattern period. So, <math> f(x) </math> |
| + | is not equal to <math> f(x+np) </math> | ||
Revision as of 14:01, 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)
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) $
