Lexicographical order: Mathematics, Order theory, Cartesian product, Partially ordered set, Total order, Alphabetical order, Well- order, Sorting ... vector space, Finite sequence, Shortlex order - Softcover

 
9786130767211: Lexicographical order: Mathematics, Order theory, Cartesian product, Partially ordered set, Total order, Alphabetical order, Well- order, Sorting ... vector space, Finite sequence, Shortlex order
Softcover
ISBN 10: 6130767218 ISBN 13: 9786130767211
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, the lexicographic or lexicographical order, (also known as dictionary order, alphabetic order or lexicographic(al) product), is a natural order structure of the Cartesian product of two ordered sets. Given two partially ordered sets A and B, the lexicographical order on the Cartesian product A × B is defined as (a,b) ≤ (a′,b′) if and only if a < a′ or (a = a′ and b ≤ b′). The result is a partial order. If A and B are totally ordered, then the result is a total order also. More generally, one can define the lexicographic order on the Cartesian product of n ordered sets, on the Cartesian product of a countably infinite family of ordered sets, and on the union of such sets.

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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, the lexicographic or lexicographical order, (also known as dictionary order, alphabetic order or lexicographic(al) product), is a natural order structure of the Cartesian product of two ordered sets. Given two partially ordered sets A and B, the lexicographical order on the Cartesian product A × B is defined as (a,b) ≤ (a′,b′) if and only if a < a′ or (a = a′ and b ≤ b′). The result is a partial order. If A and B are totally ordered, then the result is a total order also. More generally, one can define the lexicographic order on the Cartesian product of n ordered sets, on the Cartesian product of a countably infinite family of ordered sets, and on the union of such sets.

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Verlag
OmniScriptum
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
6130767218
ISBN 13 
9786130767211
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