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Dyck Word
In the theory of formal languages of computer science, mathematics, and linguistics, a Dyck word is a balanced string of square brackets and The set of Dyck words forms the Dyck language. Dyck words and language are named after the mathematician Walther von Dyck. They have applications in the parsing of expressions that must have a correctly nested sequence of brackets, such as arithmetic or algebraic expressions. Formal definition Let \Sigma = \ be the alphabet consisting of the symbols and Let \Sigma^ denote its Kleene closure. The Dyck language is defined as: : \. Context-free grammar It may be helpful to define the Dyck language via a context-free grammar in some situations. The Dyck language is generated by the context-free grammar with a single non-terminal , and the production: : That is, ''S'' is either the empty string () or is " , an element of the Dyck language, the matching ", and an element of the Dyck language. An alternative context-free grammar for the D ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dyck Lattice D4
Dyck is a form of the Dutch surname van Dijck, (van) Dijck, which is also common among Russian Mennonites. Notable surnames * Anthony van Dyck (1599–1641), Flemish artist * Cornelius Van Allen Van Dyck (1818–1895), American missionary * Howard Dyck (born 1942), Canadian conductor * Lillian Dyck (born 1945), Canadian senator * Lionel Dyck (born 1944), Rhodesian-born mercenary * Paul Dyck (born 1971), Canadian ice hockey player * Peter George Dyck (1946–2020), Canadian politician * Rand Dyck (born 1943), Canadian professor * Walther von Dyck (1856–1934), German mathematician Fictional Dycks * Elsie Dyck, fictional Mennonite writer in Andrew Unger's novel ''Once Removed'' * Harry Dyck, recurring character in ''The Daily Bonnet'' * Noah and Anita Dyck, fictional Mennonite couple in the television show ''Letterkenny'' * A common misspelling of the movie ''Dick (film), Dick'' since the movie's box art title and logo on the trailer have the hands of a person pointed out to shape ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
