[過去ﾛｸﾞ] 現代数学の系譜 工学物理雑談 古典ガロア理論も読む49 (658ﾚｽ)
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485(2): 現代数学の系譜 雑談 古典ガロア理論も読む ◆e.a0E5TtKE [sage] 2018/01/14(日) 17:07:42.03 ID:fNVDpqMq(15/38) AAS
>>484 つづき
４）
http://mathoverflow.net/questions/151286/probabilities-in-a-riddle-involving-axiom-of-choice
Probabilities in a riddle involving axiom of choice - MathOverflow: edited Dec 9 '13 Denis
(抜粋)
The question is about a modification of the following riddle (you can think about it before reading the answer if you like riddles, but that's not the point of my question):
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)
つづく
486(1): 現代数学の系譜 雑談 古典ガロア理論も読む ◆e.a0E5TtKE [sage] 2018/01/14(日) 17:08:03.46 ID:fNVDpqMq(16/38) AAS
>>485 つづき
５）
http://mathoverflow.net/questions/152787/can-an-infinite-number-of-mathematicians-guess-the-number-in-a-box-with-only-one
Can an infinite number of mathematicians guess the number in a box with only one error? - MathOverflow edited Dec 26 '13 user44653
(抜粋)
In this question＊） the following observation was made:
＊）上記 Probabilities in a riddle involving axiom of choice - MathOverflow: edited Dec 9 '13 Denis mathoverflow にリンクされている
(引用終り)
これは内容的には無視していいかもしれんが、mathoverflowより時期が早いよね
http://brainden.com/forum/topic/16510-100-mathematicians-100-rooms-and-a-sequence-of-real-numbers/
100 mathematicians, 100 rooms, and a sequence of real numbers Asked by Jrthedawg, July 22, 2013 New Logic/Math Puzzles - BrainDen.com - Brain Teasers
(抜粋)
Question
I am a collector of math and logic puzzles, and this must be the best I've ever seen.
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)
以上
493(2): 現代数学の系譜 雑談 古典ガロア理論も読む ◆e.a0E5TtKE [sage] 2018/01/14(日) 17:43:33.98 ID:fNVDpqMq(20/38) AAS
>>480>>482
>高校時代に当時の女子高生達がよく用いていたチョベリバーの意味が分からなかったか。
それ、女子高生から自分に向けて使われていて、意味わからんかったと〜（＾＾
すごく、もてたんだろうね〜（＾＾
まあ、おっちゃん、時枝は、数学セミナーの原文見ないと無理だよ〜
原文ダメなら、まだ>>483-486の英文と、
Sergiu Hart氏のPDF http://www.ma.huji.ac.il/hart/puzzle/choice.pdf? （>>437）を読む方がましだろう
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