Re:Cantor function, a.k.a. devil's staircase
by dhosek on Thursday June 11, 2020 @10:42PM
(#23495472)
Reminds me of something my complex analysis prof said with respect to some constant that it was unknown whether it was rational or irrational: “There’s no reason to think it’s rational, and statistically, the probability of any real number being rational is 0.”
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Re:Cantor function, a.k.a. devil's staircase
by alberto_ol on Friday June 12, 2020 @02:16AM
(#23496544)
He could have even said that that constant was almost certainly transcendental.
It always surprises me that almost all real are transcendental, but that there are only 2 transcendental real numbers I am familiar with: pi and e.
Re:Cantor function, a.k.a. devil's staircase
by sukilot on Friday June 12, 2020 @06:52PM
(#23504691)
That's because almost all transcendentals are not computable or nameable, whereas all algebraics are. So when you limit to the space of nameable computable numbers you get a different statistical intuition.