floor functional equation

[bo198214]

euh no.

how do you arrive at half-iterates ??

the half-iterate of a polynomial or the half-iterate of an exponential does not satisfy f(f({x}/e)) = {x}/e

we are searching for a solution to f(x) in f(f({x}/e)) = {x}/e.

not its half-iterate ?

Sorry, I meant a half-iterate of x not of f. We discussed that somewhere on the forum already. f(f(x))=x hence f(f({x}/e))={x}/e.