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The lexicographic order on the resulting sequences induces thus an order on the subsets, which is also called the lexicographical order. In this context, one generally prefer to sort first the subsets by cardinality, such as in the shortlex order. Therefore, in the following, we will consider only orders on subsets of fixed cardinal.
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Lexicography is the practice of creating books, computer programs, or databases that reflect lexicographical work and are intended for public use. These include dictionaries and thesauri which are widely accessible resources that present various aspects of lexicology, such as spelling, pronunciation, and meaning.
The 1973 Handbook of Integer Sequences contained about 2400 sequences, which were numbered by lexicographic order (the letter N plus four digits, zero-padded where necessary), and the 1995 Encyclopedia of Integer Sequences contained 5487 sequences, also numbered by lexicographic order (the letter M plus 4 digits, zero-padded where necessary ...
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Lexicology is the branch of linguistics that analyzes the lexicon of a specific language.A word is the smallest meaningful unit of a language that can stand on its own, and is made up of small components called morphemes and even smaller elements known as phonemes, or distinguishing sounds.
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. [1]
In mathematics, lexicographical order is a means of ordering sequences in a manner analogous to that used to produce alphabetical order. [ 16 ] Some computer applications use a version of alphabetical order that can be achieved using a very simple algorithm , based purely on the ASCII or Unicode codes for characters.