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Bücher Wissen & Bildung Englische Bücher Naturwissenschaft, Medizin, Informatik, Technik Mathematik Grundlagen The Mathematics of Coordinated Inference
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The Mathematics of Coordinated Inference
Christopher S. Hardin, Alan D. Taylor (Broschiert, Englisch)
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Beschreibung
Two prisoners are told that they will be brought to a room and seated so that each can see the other. Hats will be placed on their heads; each hat is either red or green. The two prisoners must simultaneously submit a guess of their own hat color, and they both go free if at least one of them guesses correctly. While no communication is allowed once the hats have been placed, they will, however,… be allowed to have a strategy session before being brought to the room. Is there a strategy ensuring their release? The answer turns out to be yes, and this is the simplest non-trivial example of a “hat problem.” This book deals with the question of how successfully one can predict the value of an arbitrary function at one or more points of its domain based on some knowledge of its values at other points. Topics range from hat problems that are accessible to everyone willing to think hard, to some advanced topics in set theory and infinitary combinatorics. For example, there is a method of predicting the value f(a) of a function f mapping the reals to the reals, based only on knowledge of f's values on the open interval (a – 1, a), and for every such function the prediction is incorrect only on a countable set that is nowhere dense. The monograph progresses from topics requiring fewer prerequisites to those requiring more, with most of the text being accessible to any graduate student in mathematics. The broad range of readership includes researchers, postdocs, and graduate students in the fields of set theory, mathematical logic, and combinatorics. The hope is that this book will bring together mathematicians from different areas to think about set theory via a very broad array of coordinated inference problems. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
23.08.2016
Sprache
Englisch
EAN
9783319376059
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Developments in Mathematics
Sonderedition
Nein
Autor
Christopher S. Hardin, Alan D. Taylor
Seitenanzahl
109
Einbandart
Broschiert
Buch Untertitel
A Study of Generalized Hat Problems
Schlagwörter
Gabay-O'Connor Theorem, Galvin's setting, Tutte-Berge formula, generalized hat problems, hat problem, prisoners hat problem, pseudo-scattered sets, set theory
Thema-Inhalt
PBCD - Mathematik: Logik
PBC - Mathematische Grundlagen
PBP - Topologie
PBUD - Spieltheorie
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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