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- этимология
Что (кто) такое lexicographic order - определение
Lexicographic order
![Orderings of the 3-[[subset]]s of <math>\{1, \ldots, 6\},</math> represented as sets of red squares, increasing sequences (in blue), or by their [[indicator function]]s, converted in [[decimal notation]] (in grey). The grey numbers are also the rank of the subsets in all subsets of <math>\{1, \ldots, 6\},</math> numbered in colexicographical order, and starting from 0. The lexicographical (lex) and colexicographical (colex) orders are on the top and the corresponding reverse orders (rev) on the bottom<br>One passes from an order to its reverse order, either by reading bottom-up instead of up-bottom, or by exchanging red and white colors.](https://commons.wikimedia.org/wiki/Special:FilePath/Orderings; 6 choose 3.svg?width=200 "Orderings of the 3-[[subset]]s of <math>\{1, \ldots, 6\},</math> represented as sets of red squares, increasing sequences (in blue), or by their [[indicator function]]s, converted in [[decimal notation]] (in grey). The grey numbers are also the rank of the subsets in all subsets of <math>\{1, \ldots, 6\},</math> numbered in colexicographical order, and starting from 0. The lexicographical (lex) and colexicographical (colex) orders are on the top and the corresponding reverse orders (rev) on the bottom<br>One passes from an order to its reverse order, either by reading bottom-up instead of up-bottom, or by exchanging red and white colors.")
![inversion vectors]] (in red) of permutations in ''colex'' order are in ''revcolex'' order, and vice versa.](https://commons.wikimedia.org/wiki/Special:FilePath/Orderings; permutations 5-cycle.svg?width=200 "inversion vectors]] (in red) of permutations in ''colex'' order are in ''revcolex'' order, and vice versa.")
GENERALIZATION OF THE WAY THE ALPHABETICAL ORDER OF WORDS IS BASED ON THE ALPHABETICAL ORDER OF THEIR COMPONENT LETTERS
Lexicographical order; Ordering of lexicographic type; Lexicographic ordering; Lexiographic Order; Reverse lexicon; Lexicographical ordering; Colexicographical order; Colex; Colex order; Colex ordering; Lexicographical sort; Reverse lexicographic order; Lexical order; Lexigraphical order; Lexigraphic order; Quasi-lexicographic order; Colexicographic order; Lexicographically; Lexicographic sort
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.
Lexicographic dominance
STATISTICAL PROPERTY
Downward lexicographic
Lexicographic dominance is a total order between random variables. It is a form of stochastic ordering.
Shortlex order
VARIANT OF LEXICOGRAPHIC ORDER THAT SORTS SHORTER STRINGS FIRST
Length-plus-lexicographic ordering; Shortlex; ShortLex
In mathematics, and particularly in the theory of formal languages, shortlex is a total ordering for finite sequences of objects that can themselves be totally ordered. In the shortlex ordering, sequences are primarily sorted by cardinality (length) with the shortest sequences first, and sequences of the same length are sorted into lexicographical order.
