A periodic function is given by $ f(x+nT)=f(x) $, with 'n' an integer and T the period.
My question is if we can define a non-constant function with several periods; by that, I mean
$ f(x+T_{i})=f(x) $ with $ i=1,2,3,4,\dots $ a set of different numbers.
For example, a function that satisfies $ f(x+2)=f(x) $, as well as $ f(x+5.6)=f(x) $ and $ f(x+ \sqrt 2) =f(x) $, but $ f(x) $ is NOT a constant.