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CentralNotice From Wikipedia, the free encyclopedia Jump to: navigation , search In mathematical logic , the De Bruijn index is a notation invented by the Dutch mathematician Nicolaas Govert de Bruijn for representing terms in the λ calculus with the purpose of eliminating the names of the variable from the notation. [ 1 ] Terms written using these indices are invariant with respect to α conversion , so the check for α-equivalence is the same as that for syntactic equality. Each De Bruijn index is a natural number that represents an occurrence of a variable in a λ-term, and denotes the number of binders that are in scope between that occurrence and its corresponding binder. The following are some examples: The term λ x . λ y . x , sometimes called the K combinator , is written as λ λ 2 with De Bruijn indices. The binder for the occurrence x is the second λ in scope. T...

CentralNotice From Wikipedia, the free encyclopedia Jump to: navigation , search This article is about the American pioneer. For other uses, see Daniel Boone (disambiguation) . Daniel Boone This 1820 painting by Chester Harding is the only portrait of Daniel Boone made from life. [ 1 ] Born ( 1734-11-02 ) 2 November 1734 Daniel Boone Homestead , Oley Valley , Berks County , Pennsylvania Colony Died September 26, 1820 ( 1820-09-26 ) (aged 85) Nathan Boone's house , Femme Osage Creek , Missouri Resting place Frankfort Cemetery, Frankfort, Kentucky 38°11′37.45″N 84°51′57.78″W  /  38.1937361°N 84.8660500°W  / 38.1937361; -84.8660500 Spouse(s) Rebecca Bryan Boone Children James Boone Israel Boone Susannah Boone Hays Jemima Boone Callaway Levina Boone Scholl Rebecca Boone Goe Daniel Morgan Boone Jessie Bryan Boone William Bryan Boone Nath...