how about slog2(x) = x + v(x) [ slog(x) ] ...
maybe that works ... ill think about it.
(edit) ok i give up the second uniqueness ... and the first is very likely false too. sorry for those bad ideas.
at the edge of giving up , i was dreaming about (sexp(x) - sexp2(x))/(sexp(x)-sexp(x-1)) = v3(x) but im not even sure if v3(x) can be made periodic nor how to proceed from there ...
so that might be a dead end or a bad idea as well ...
maybe that works ... ill think about it.
(edit) ok i give up the second uniqueness ... and the first is very likely false too. sorry for those bad ideas.
at the edge of giving up , i was dreaming about (sexp(x) - sexp2(x))/(sexp(x)-sexp(x-1)) = v3(x) but im not even sure if v3(x) can be made periodic nor how to proceed from there ...
so that might be a dead end or a bad idea as well ...

