Enter a word or phrase in any language 👆
Language:
Translation and analysis of words by artificial intelligence
On this page you can get a detailed analysis of a word or phrase, produced by the best artificial intelligence technology to date:
- how the word is used
- frequency of use
- it is used more often in oral or written speech
- word translation options
- usage examples (several phrases with translation)
- etymology
What (who) is lexicographic product - definition
WIKIMEDIA DISAMBIGUATION PAGE
Lexicographical product; Lexicographic product (disambiguation)
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.
Product (category theory)
GENERALIZED OBJECT IN CATEGORY THEORY
Categorical product; Product category theory; Category product
In category theory, the product of two (or more) objects in a category is a notion designed to capture the essence behind constructions in other areas of mathematics such as the Cartesian product of sets, the direct product of groups or rings, and the product of topological spaces. Essentially, the product of a family of objects is the "most general" object which admits a morphism to each of the given objects.
Product (chemistry)
SUBSTANCE (SPECIES) FORMED FROM A CHEMICAL REACTION
Product (biology); Chemical products; Product (biochemistry)
Products are the species formed from chemical reactions. During a chemical reaction reactants are transformed into products after passing through a high energy transition state.
Wikipedia
Lexicographic product
In mathematics, a lexicographical or lexicographic product may be formed of
- graphs – see lexicographic product of graphs
- orders – see lexicographical order
