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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.”
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.
Re:Cantor function, a.k.a. devil's staircase by dhosek on Friday June 12, 2020 @02:21PM (#23502100)
I forget the constant, but as I recall, that was likely true as well.