Перевод и анализ слов искусственным интеллектом ChatGPT
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- как употребляется слово
- частота употребления
- используется оно чаще в устной или письменной речи
- варианты перевода слова
- примеры употребления (несколько фраз с переводом)
- этимология
lexicographic order - перевод на Английский
![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.")
общая лексика
лексикографический [словарный] порядок
т.е. расположенный в порядке следования букв алфавита
Смотрите также
математика
лексикографическое упорядочение
общая лексика
лексикографическая сортировка
сортировка в лексикографическом порядке. При этом числа размещаются по их буквенному написанию
Смотрите также
Определение
Википедия
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.
