High level people は自分達で勝手に立てたスレ28へどうぞ！sage進行推奨（＾＾； また、スレ43は、私が立てたスレではないので、私は行きません。そこでは、私はスレ主では無くなりますからね。このスレに不満な人は、そちらへ。 http://rio2016.2ch.net/test/read.cgi/math/1506152332/ 旧スレが512KBオーバー（又は間近）で、新スレ立てる （スレ主の趣味で上記以外にも脱線しています。ネタにスレ主も理解できていないページのURLも貼ります。関連のアーカイブの役も期待して。）
１） http://blog.computationalcomplexity.org/2016/07/solution-to-alice-bob-box-problem.html Solution to the Alice-Bob-Box problem. July 18, 2016 Posted by GASARCH Computational Complexity (抜粋) Peter Winkler told me this problem at the Joel Spencer 70th Bday conference. He got it from Sergui Hart who does not claim to be the inventor of it. （抜粋おわり）
２） http://math.stackexchange.com/questions/371184/predicting-real-numbers Predicting Real Numbers edited May 15 '13 Jared Mathematics Stack Exchange (抜粋) Here is an astounding riddle that at first seems impossible to solve. I'm certain the axiom of choice is required in any solution, and I have an outline of one possible solution, but would like to see how others might think about it.
３） 100 rooms each contain countably many boxes labeled with the natural numbers. Inside of each box is a real number. For any natural number n, all 100 boxes labeled n (one in each room) contain the same real number. In other words, the 100 rooms are identical with respect to the boxes and real numbers. (引用終り)
The Riddle: We assume there is an infinite sequence of boxes, numbered 0,1,2,…
. Each box contains a real number. No hypothesis is made on how the real numbers are chosen. You are a team of 100 mathematicians, and the challenge is the following: each mathematician can open as many boxes as he wants, even infinitely many, but then he has to guess the content of a box he has not opened. (引用終り)
100 rooms each contain countably many boxes labeled with the natural numbers. Inside of each box is a real number. For any natural number n, all 100 boxes labeled n (one in each room) contain the same real number. In other words, the 100 rooms are identical with respect to the boxes and real numbers. (引用終り)
