0.9438Hz, i.e. 1*(2^(-100/1200)) IIRC.

Ah, common issue. When that happens, you just start using your toes.

Pah, mathematicians and their generally applicable pure approach to solutions and fancy modulus operations, who needs 'em? Computing is applied and we always work with well-defined finite precision. Granted, writing the boilerplate for all possible 64 bit integers is a bit laborious, but we’re programmers! That’s what code generation is for.

Ah yes, the printing press: Likely the most cumulatively subversive memetic infection vector ever conceived.

Define ‘mind-control’. Trans-cranial magnetic stimulation has been perfectly capable of changing people’s broad moods since 1985 and is being actively used to treat depression right now. The underlying technology is only going to get more precise, especially as more research on spintronics is done for other purposes. Sure, right now our understanding of how what goes on in a given brain translates to ‘thoughts’ is insufficient to change those thoughts in any reliable way, but there’s little doubt that when we do, the technology to make it happen will almost certainly be around.