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

 
9786130767211: Lexicographical order: Mathematics, Order theory, Cartesian product, Partially ordered set, Total order, Alphabetical order, Well- order, Sorting ... vector space, Finite sequence, Shortlex order
Couverture souple
ISBN 10 : 6130767218 ISBN 13 : 9786130767211
Editeur : Alphascript Publishing, 2010

Synopsis

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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Éditeur
Alphascript Publishing
Date d'édition
2010
Langue
anglais
ISBN 10 
6130767218
ISBN 13 
9786130767211
Reliure
Broché
Nombre de pages
84
Éditeur
Miller Frederic P., Vandome Agnes F., McBrewster John
Coordonnées du fabricant
non disponible
Personne responsable
non disponible