That is real numbers modulo an integer. I'm just interested in shuffling around +-*/ operations.
If a concrete example helps here's my current problem. (I'm from a programming background so there's probably a notation disconnect, sorry about that.)
LI(x) = (LI0 + x / PI) % 1
LF(x) = (LF0 + x / PF) % 1
LI(s) + 0.5 = LF(f)
f = s + PT / 2
I need to find a solution for s, given LI0, LF0, PI, PF and PT.
Also I think I might have a solution by dropping the %1's, solving for s and then modding that by:
1 / abs(1 / PI - 1 / PF)
But I can't tell if that actually works because it introduces an enormous rounding error.
Also while this is the problem at hand and solving it is my immediate goal, I really want to understand how to generate that solution, for next time.