- #1

- 775

- 1

Consider the following function, $$ f : \mathbb{N} → \mathbb{R} $$, defined by

f[n] = 1 if n is a multiple of 2 or 3, and 0 otherwise.

Then it is clear that 2 and 3 are both periods of this function, since translation of the input by either 2 or 3 renders the function's value invariant.

6, being the least common multiple of 2 and 3, is also "a period" of this function. But which is the fundamental period?

Thanks to anyone who can clarify this confusion!

BiP