(New page: == Periodic Function == <math>y(x)=x+3</math> <pre> Proof: Assuming that y(x) is periodic, then there must be a non-zero integer T,that makes y(x+T)=y(x). y(x+T)=x+3 with any T that...) |
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Revision as of 14:38, 4 September 2008
Periodic Function
$ y(x)=x+3 $
Proof: Assuming that y(x) is periodic, then there must be a non-zero integer T,that makes y(x+T)=y(x).
y(x+T)=x+3 with any T that is a multiple of 3 will work.
Therefore y(x)=t+3 is aperiodic function.
Non-Periodic Functions
$ y(x)=1 $
Proof: Assuming that y(x) is periodic, then there must be a non-zero integer T,that makes y(x+T)=y(x).
y(x+T)=1 For all T except 0.
Therefore y(x)=1 is a non-periodic function.
