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Diophantine set: Integer, Diophantine equation, Coefficient, Recursively enumerable set, Hilbert's tenth problem, Pell's equation, Prime number, Gödel numbering - Softcover

 
9786132576330: Diophantine set: Integer, Diophantine equation, Coefficient, Recursively enumerable set, Hilbert's tenth problem, Pell's equation, Prime number, Gödel numbering
Softcover
ISBN 10: 6132576339 ISBN 13: 9786132576330
Verlag: OmniScriptum, 2010

Inhaltsangabe

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a Diophantine set of j-tuples of integers is a set S for which there is some polynomial with integer coefficients. Matiyasevich''s theorem, published in 1970, states that a set of integers is Diophantine if and only if it is recursively enumerable. A set S is recursively enumerable precisely if there is an algorithm that, when given an integer, eventually halts if that input is a member of S and otherwise runs forever. This means that the concept of general Diophantine set, apparently belonging to number theory, can be taken rather in logical or recursion-theoretic terms. This is far from obvious, however, and represented the culmination of some decades of work.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Reseña del editor

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a Diophantine set of j-tuples of integers is a set S for which there is some polynomial with integer coefficients. Matiyasevich''s theorem, published in 1970, states that a set of integers is Diophantine if and only if it is recursively enumerable. A set S is recursively enumerable precisely if there is an algorithm that, when given an integer, eventually halts if that input is a member of S and otherwise runs forever. This means that the concept of general Diophantine set, apparently belonging to number theory, can be taken rather in logical or recursion-theoretic terms. This is far from obvious, however, and represented the culmination of some decades of work.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
OmniScriptum
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
6132576339
ISBN 13 
9786132576330
Einband
Tapa blanda
Anzahl der Seiten
84
Herausgeber
Miller Frederic P., Vandome Agnes F., McBrewster John
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar