(Non-Periodic Function)
(Non-Periodic Function)
Line 11: Line 11:
 
== Non-Periodic Function ==
 
== Non-Periodic Function ==
  
A function is said to be non-periodic with no certain pattern period. So, <math> f(x) </math>
+
A function is said to be non-periodic with no certain pattern period. So, f(x) is not equal to f(x+np)
is not equal to <math> f(x+np) </math>
+

Revision as of 14:02, 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)

Alumni Liaison

To all math majors: "Mathematics is a wonderfully rich subject."

Dr. Paul Garrett