Re:How many floating-point numbers are in the interval [0,1]?
by vog on Thursday March 02, 2017 @12:34PM
(#13776132)
Yes, that was exactly my line of thinking.
One minor nitpick: f(x)=1/x maps [-1,1] to [-inf,-1]u[+1,+inf] ... that is, 1 and -1 are in both sets and mapped onto themselves. However, this detail doesn't affect the argument much.
f(x) = 1/x takes takes numbers in the range (-1, 1) to numbers outside that range, and vice versa. The representable floats are split evenly between those two sets