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The words in a lexicon (the set of words used in some language) have a conventional ordering, used in dictionaries and encyclopedias, that depends on the underlying ordering of the alphabet of symbols used to build the words. The lexicographical order is one way of formalizing word order given the order of the underlying symbols.
Similarly, (4,2,4) is lexicographically larger than (2,4,4). The following algorithm can be used to compute whether x is leximin-larger than y: Let x' be a vector containing the same elements of x but in ascending order; Let y' be a vector containing the same elements of y but in ascending order; Return "true" iff x' is lexicographically-larger ...
Lexicography is the study of lexicons and the art of compiling dictionaries. [1] It is divided into two separate academic disciplines: . Practical lexicography is the art or craft of compiling, writing and editing dictionaries.
In general, a lexmaxmin optimization problem may have more than one optimal solution. If and are two optimal solutions, then their ordered value vector must be the same, that is, [] = [] for all [], [5]: Thm.2 that is, the smallest value is the same, the second-smallest value is the same, and so on.
If one concatenates together, in lexicographic order, all the Lyndon words that have length dividing a given number n, the result is a de Bruijn sequence, a circular sequence of symbols such that each possible length-n sequence appears exactly once as one of its contiguous subsequences. For example, the concatenation of the binary Lyndon words ...
In economics, lexicographic preferences or lexicographic orderings describe comparative preferences where an agent prefers any amount of one good (X) to any amount of another (Y). Specifically, if offered several bundles of goods, the agent will choose the bundle that offers the most X, no matter how much Y there is.
The word lexicon derives from Greek word λεξικόν (lexikon), neuter of λεξικός (lexikos) meaning 'of or for words'. [ 1 ] Linguistic theories generally regard human languages as consisting of two parts: a lexicon, essentially a catalogue of a language's words (its wordstock); and a grammar , a system of rules which allow for the ...
Diachronic or historical lexicology is devoted to the evolution of words and word-formation over time. It investigates the origins of a word and the ways in which its structure, meaning, and usage have since changed. [9] Synchronic or descriptive lexicology examines the words of a language within a certain time frame. This could be a period ...