@Jay

Wow, this is indeed interesting.

I mean theoretically it is clear that must have period 1 for two (strictly increasing continuous) solutions and of .

Because .

But to see it as graphs is another thing .

And I would think that it is in no way a sinus wave. However the periodic analytic functions can built by Fourier series.

Wow, this is indeed interesting.

I mean theoretically it is clear that must have period 1 for two (strictly increasing continuous) solutions and of .

Because .

But to see it as graphs is another thing .

And I would think that it is in no way a sinus wave. However the periodic analytic functions can built by Fourier series.