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?

2. ## 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.

3. ## 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?

4. ## Re: Question about periodicity?

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 $\displaystyle f(x+0)=f(x)~?$

5. ## Re: Question about periodicity?

So you are telling me that in not periodic functions P = 0?

6. ## 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 $\displaystyle P=~?$

7. ## Re: Question about periodicity?

P = 0

so it is not periodic