The mathematics of coordinated inference: a study of generalized hat problems
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cham [u.a.]
Springer
2013
|
| Schriftenreihe: | Developments in mathematics
33 |
| Schlagworte: | |
| Online-Zugang: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9783319013329 9783319013336 |
| DOI: | 10.1007/978-3-319-01333-6 |
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Datensatz im Suchindex
| _version_ | 1804151619172958208 |
|---|---|
| adam_text | THE MATHEMATICS OF COORDINATED INFERENCE
/ HARDIN, CHRISTOPHER S.
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
1. INTRODUCTION
2. THE FINITE SETTING
3. THE DENUMERABLE SETTING: FULL VISIBILITY
4. THE DENUMERABLE SETTING: ONE-WAY VISIBILITY
5. DUAL HAT PROBLEMS AND THE UNCOUNTABLE
6. GALVIN S SETTING: NEUTRAL AND ANONYMOUS PREDICTORS
7. THE TOPOLOGICAL SETTING
8. UNIVERSALITY OF THE Μ-PREDICTOR
9. GENERALIZATIONS AND GALOIS-TUKEY CONNECTIONS
BIBLIOGRAPHY
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
THE MATHEMATICS OF COORDINATED INFERENCE
/ HARDIN, CHRISTOPHER S.
: 2013
ABSTRACT / INHALTSTEXT
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 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 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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Hardin , Christopher S. Taylor, Alan D. 1947- |
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| dewey-full | 610 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 610 - Medicine and health |
| dewey-raw | 610 |
| dewey-search | 610 |
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| discipline | Mathematik Medizin |
| doi_str_mv | 10.1007/978-3-319-01333-6 |
| format | Electronic eBook |
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| spellingShingle | Hardin , Christopher S. Taylor, Alan D. 1947- The mathematics of coordinated inference a study of generalized hat problems Developments in mathematics Gefangenendilemma (DE-588)4139587-6 gnd Logikspiel (DE-588)1069630357 gnd |
| subject_GND | (DE-588)4139587-6 (DE-588)1069630357 |
| title | The mathematics of coordinated inference a study of generalized hat problems |
| title_auth | The mathematics of coordinated inference a study of generalized hat problems |
| title_exact_search | The mathematics of coordinated inference a study of generalized hat problems |
| title_full | The mathematics of coordinated inference a study of generalized hat problems Christopher S. Hardin ; Alan D. Taylor |
| title_fullStr | The mathematics of coordinated inference a study of generalized hat problems Christopher S. Hardin ; Alan D. Taylor |
| title_full_unstemmed | The mathematics of coordinated inference a study of generalized hat problems Christopher S. Hardin ; Alan D. Taylor |
| title_short | The mathematics of coordinated inference |
| title_sort | the mathematics of coordinated inference a study of generalized hat problems |
| title_sub | a study of generalized hat problems |
| topic | Gefangenendilemma (DE-588)4139587-6 gnd Logikspiel (DE-588)1069630357 gnd |
| topic_facet | Gefangenendilemma Logikspiel |
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