The mathematics of coordinated inference : a study of generalized hat problems
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The work The mathematics of coordinated inference : a study of generalized hat problems represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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The mathematics of coordinated inference : a study of generalized hat problems
Resource Information
The work The mathematics of coordinated inference : a study of generalized hat problems represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 The mathematics of coordinated inference : a study of generalized hat problems
 Title remainder
 a study of generalized hat problems
 Statement of responsibility
 Christopher S. Hardin, Alan D. Taylor
 Language
 eng
 Summary
 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 simultaneouslysubmit a guess of their own hat color, and they both go free if atleast one of them guesses correctly. While no communication is allowedonce the hats have been placed, they will, however, be allowed to havea strategy session before being brought to the room. Is there astrategy ensuring their release? The answer turns out to be yes, and this is the simplest nontrivial 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 domainbased on some knowledge of its values at other points. Topics rangefrom hat problems that are accessible to everyone willing to thinkhard, to some advanced topics in set theory and infinitarycombinatorics. For example, there is a method of predicting the valuef(a) of a function f mapping the reals to the reals, based only onknowledge of f's values on the open interval (a 1, a), and for everysuch 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
 Cataloging source
 GW5XE
 Dewey number
 511.3
 Index
 index present
 LC call number
 QA9
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Developments in mathematics
 Series volume
 volume 33
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