What does lexicographic order mean?
Definitions for lexicographic order
lex·i·co·graph·ic or·der
This dictionary definitions page includes all the possible meanings, example usage and translations of the word lexicographic order.
Wiktionary
lexicographic ordernoun
Formally, given two partially ordered sets A and B, the order on the Cartesian product A × B such that (a,b) (a,b) if and only if a < a or (a = a and b b).
lexicographic ordernoun
Given sets (A, A, ..., A) and their total orderings (<, <, ..., <), the order < of A × A × ... × A such that (a, a, ..., a) < (b,b, ..., b) iff (m > 0) ( i < m) (a = b ) and (a < b )
Wikipedia
Lexicographic order
In mathematics, the lexicographic or lexicographical order (also known as lexical order, or dictionary order) is a generalization of the alphabetical order of the dictionaries to sequences of ordered symbols or, more generally, of elements of a totally ordered set. There are several variants and generalizations of the lexicographical ordering. One variant applies to sequences of different lengths by comparing the lengths of the sequences before considering their elements. Another variant, widely used in combinatorics, orders subsets of a given finite set by assigning a total order to the finite set, and converting subsets into increasing sequences, to which the lexicographical order is applied. A generalization defines an order on a Cartesian product of partially ordered sets; this order is a total order if and only if all factors of the Cartesian product are totally ordered.
Numerology
Chaldean Numerology
The numerical value of lexicographic order in Chaldean Numerology is: 4
Pythagorean Numerology
The numerical value of lexicographic order in Pythagorean Numerology is: 1
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"lexicographic order." Definitions.net. STANDS4 LLC, 2024. Web. 25 Apr. 2024. <https://www.definitions.net/definition/lexicographic+order>.
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