The Resource The mathematics of coordinated inference : a study of generalized hat problems, Christopher S. Hardin, Alan D. Taylor
The mathematics of coordinated inference : a study of generalized hat problems, Christopher S. Hardin, Alan D. Taylor
Resource Information
The item The mathematics of coordinated inference : a study of generalized hat problems, Christopher S. Hardin, Alan D. Taylor represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item The mathematics of coordinated inference : a study of generalized hat problems, Christopher S. Hardin, Alan D. Taylor represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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
 Language
 eng
 Extent
 1 online resource.
 Contents

 1. Introduction
 2. The Finite Setting
 3. The Denumerable Setting: Full Visibility
 4. The Denumerable Setting: OneWay Visibility
 5. Dual Hat Problems and the Uncountable
 6. Galvin's Setting: Neutral and Anonymous Predictors
 7. The Topological Setting
 8. Universality of the Predictor
 9. Generalizations and GaloisTukey Connections
 Bibliography
 Index
 Isbn
 9783319013336
 Label
 The mathematics of coordinated inference : a study of generalized hat problems
 Title
 The mathematics of coordinated inference
 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
 http://library.link/vocab/creatorName
 Hardin, Christopher S
 Dewey number
 511.3
 Index
 index present
 LC call number
 QA9
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorDate
 1947
 http://library.link/vocab/relatedWorkOrContributorName
 Taylor, Alan D.
 Series statement
 Developments in mathematics
 Series volume
 volume 33
 http://library.link/vocab/subjectName

 Logic, Symbolic and mathematical
 MATHEMATICS
 Logic, Symbolic and mathematical
 Mathematics
 Mathematical Logic and Foundations
 Topology
 Game Theory, Economics, Social and Behav. Sciences
 Label
 The mathematics of coordinated inference : a study of generalized hat problems, Christopher S. Hardin, Alan D. Taylor
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 1. Introduction  2. The Finite Setting  3. The Denumerable Setting: Full Visibility  4. The Denumerable Setting: OneWay Visibility  5. Dual Hat Problems and the Uncountable  6. Galvin's Setting: Neutral and Anonymous Predictors  7. The Topological Setting  8. Universality of the Predictor  9. Generalizations and GaloisTukey Connections  Bibliography  Index
 Control code
 861967791
 Dimensions
 unknown
 Extent
 1 online resource.
 File format
 unknown
 Form of item
 online
 Isbn
 9783319013336
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319013336
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)861967791
 Label
 The mathematics of coordinated inference : a study of generalized hat problems, Christopher S. Hardin, Alan D. Taylor
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 1. Introduction  2. The Finite Setting  3. The Denumerable Setting: Full Visibility  4. The Denumerable Setting: OneWay Visibility  5. Dual Hat Problems and the Uncountable  6. Galvin's Setting: Neutral and Anonymous Predictors  7. The Topological Setting  8. Universality of the Predictor  9. Generalizations and GaloisTukey Connections  Bibliography  Index
 Control code
 861967791
 Dimensions
 unknown
 Extent
 1 online resource.
 File format
 unknown
 Form of item
 online
 Isbn
 9783319013336
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319013336
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)861967791
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