4 ms·
This is the concept of [a "normal" number][0] (which is a strange choice of word, I think). Apparently pi is not proven to be normal. But the implication as I u
by wool_gather 8y ago
This is the concept of [a "normal" number][0] (which is a strange choice of word, I think). Apparently pi is not proven to be normal. But the implication as I understand is that, yes, any given sequence that you'd care to look for is there somewhere.
[0]:https://en.wikipedia.org/wiki/Normal_number https://en.wikipedia.org/wiki/Normal_number
- stephencanon 8y agoAlmost all numbers are normal, so it seems like a perfectly reasonable choice of terminology =) [On the other hand, almost none of the numbers someone on the street might name are normal, so ...]
- pmiller2 8y agoOffhand, I would guess that “normal” is the most overloaded word in mathematics. We should probably use it less.
- wool_gather 8y agoAh, I didn't realize that, thanks! That makes sense now that you say it.
- stephencanon 8y agoAlmost all real numbers are a lot of things, though: - uncomputable - irrational - transcendental - ... So it's not really that good of a justification. =)