現代数学の系譜工学物理雑談古典ガロア理論も読む46

[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46 (692ﾚｽ)
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44: 現代数学の系譜 雑談 古典ガロア理論も読む ◆e.a0E5TtKE  [sage] 2017/11/12(日) 08:58:35.25 ID:cTg/FCp5

>>43 つづき

で、Alan D. Taylor さんの２つの論文のPDFリンク切れているから、検索し直した
下記、ご参照

１）
http://www.cs.umd.edu/~gasarch/
William Gasarch Professor of Computer Science Affiliate of Mathematics University of Maryland at College Park

http://www.cs.umd.edu/~gasarch/TOPICS/hats/hats.html
Papers on Hat Problems I want to read by William Gasarch

21. An Introduction to Infinite Hat Problems by Christopher Hardin and Alan Taylor. HAT GAME- infinite number of people, need to get all but a finite number of them right. Needs AC. Infinite Hats and AC

http://www.cs.umd.edu/~gasarch/TOPICS/hats/infinite-hats-and-ac.pdf
An Introduction to Infinite Hat Problems Chris Hardin and Alan Taylor THE MATHEMATICAL INTELLIGENCER 2008 Springer Science+Business Media, Inc

２）
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.365.7027&rank=2
A peculiar connection between the Axiom of Choice and predicting the future THE MATHEMATICAL ASSOCIATION OF AMERICA Monthly February 2008
http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.365.7027&rep=rep1&type=pdf

３）Taylorさん
https://en.wikipedia.org/wiki/Alan_D._Taylor
Alan D. Taylor

Alan Dana Taylor (born October 27, 1947) is an American mathematician who, with Steven Brams, solved the problem of envy-free cake-cutting for an arbitrary number of people with the Brams?Taylor procedure.

Taylor received his Ph.D. in 1975 from Dartmouth College.[2]

He currently is the Marie Louise Bailey professor of mathematics at Union College, in Schenectady, New York.

以上

http://rio2016.5ch.net/test/read.cgi/math/1510442940/44

479: 現代数学の系譜 雑談 古典ガロア理論も読む ◆e.a0E5TtKE  [sage] 2017/11/22(水) 19:16:31.41 ID:mEHYOxL2

>>478 つづき

そのために、Taylor先生達の本と論文から、下記関連事項を３つ引用する。

(>>44-45より)
https://pdfs.semanticscholar.org/8514/a9f8b30546ea81739b9409132673276713d3.pdf
[成書]The Mathematics of Coordinated Inference: A Study of Generalized Hat Problems Hardin, Christopher S., Taylor, Alan D.  November 26, 2012
(抜粋)
P109
Bibliography
[HT08b] Christopher S. Hardin and Alan D. Taylor. A peculiar connection between the axiom of choice and predicting the future. American Mathematical Monthly, 115(2):91{96, February 2008.
http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.365.7027&rep=rep1&type=pdf
[HT09] Christopher S. Hardin and Alan D. Taylor. Limit-like predictability for discontinuous functions. Proceedings of the AMS, 137:3123{3128, 2009.
http://www.jointmathematicsmeetings.org/proc/2009-137-09/S0002-9939-09-09877-3/S0002-9939-09-09877-3.pdf
(引用終り)（注：PDFのURLは、私が付与した）

（[HT08b](2008)が下記１）項関連、[HT09]（2009）が下記２）項関連、[成書]（2012）が３）項関連で、時間順です。）

（注：[HT08b] は、https://xorshammer.com/2008/08/23/set-theory-and-weather-prediction/
SET THEORY AND WEATHER PREDICTION XOR’S HAMMER Some things in mathematical logic that I find interesting WRITTEN BY MKOCONNOR Blog at WordPress.com. AUGUST 23, 2008
で 引用されており、かれの”Here’s a puzzle”の元ネタと思われる。

つづく

http://rio2016.5ch.net/test/read.cgi/math/1510442940/479

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