# Question about periodicity?

• Nov 11th 2011, 01:01 PM
Fabio010
Ok as we know, if$\displaystyle f(x+P) = f(x)$ then the function is periodic.

So if the function is not periodic,$\displaystyle f(x+p) = f(x)$, what it the value of p?
• Nov 11th 2011, 01:16 PM
Siron
Re: Question about periodicity?
It's just a positive real number, for example the $\displaystyle f(x)=\sin(x)$ is periodic with periodicity $\displaystyle 2\pi$ which is a positive real number.
• Nov 11th 2011, 01:21 PM
Fabio010
Re: Question about periodicity?
But in that: case f(x)is periodic.

for a function not periodic , the period is a positive real number too?
• Nov 11th 2011, 01:28 PM
Plato
Re: Question about periodicity?
Quote:

Originally Posted by Fabio010
Ok as we know, if$\displaystyle f(x+P) = f(x)$ then the function is periodic.

So if the function is not periodic,$\displaystyle f(x+p) = f(x)$, what it the value of p?

If this always true $\displaystyle f(x+0)=f(x)~?$
• Nov 11th 2011, 01:33 PM
Fabio010
Re: Question about periodicity?
So you are telling me that in not periodic functions P = 0?
• Nov 11th 2011, 01:41 PM
Plato
Re: Question about periodicity?
If you know that $\displaystyle f(x)$ is not periodic but for all $\displaystyle x$ you have $\displaystyle f(x+P)=f(x)$ then $\displaystyle P=~?$
• Nov 11th 2011, 02:01 PM
Fabio010
Re: Question about periodicity?
P = 0

so it is not periodic