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

Frederic P. Miller

ISBN 10: 6130767218 / ISBN 13: 9786130767211

Published by Omniscriptum, 2010

About this Item

nach der Bestellung gedruckt Neuware - Printed after ordering.

Seller Inventory # 9786130767211

Bibliographic Details

• Title: Lexicographical order : Mathematics, Order theory, Cartesian product, Partially ordered set, Total order, Alphabetical order, Well- order, Sorting algorithm, Dictionary, Ordered vector space, Finite sequence, Shortlex order
• Publisher: Omniscriptum
• Publication Date: 2010
• Language: English
• ISBN 10: 6130767218
• ISBN 13: 9786130767211
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 6D millimeters 220 millimeters width by 150 millimeters height by 6 millimeters depth
• Weight: 143 grams

About this title

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.