posts from @joXn tagged #continued fractions

also:

There are plenty of reasons to be angry at the moment, but you probably weren't angry about Khinchin's constant. Yet. https://en.m.wikipedia.org/wiki/Khinchin%27s_constant

The upshot is that there is a very specific numerical property that is true for "almost all" x ∈ ℝ. But it is definitely not true for rational numbers, for quadratic roots, or for e. It looks like it might be true for π, but nobody has proved that, or proved it for any specific number except special cases which were constructed to satisfy the property.