For the representation of variables with natural numbers, see De Bruijn index.
In mathematical logic, the De Bruijn notation is a syntax for terms in the λ calculus invented by the Dutch mathematician Nicolaas Govert de Bruijn.[1] It can be seen as a reversal of the usual syntax for the λ calculus where the argument in an application is placed next to its corresponding binder in the function instead of after the latter's body.
^De Bruijn, Nicolaas Govert (1980). "A survey of the project AUTOMATH". In Hindley J. R. and Seldin J. P. (ed.). To H. B. Curry: Essays on Combinatory Logic, Lambda Calculus and Formalism. Academic Press. pp. 29–61. ISBN 978-0-12-349050-6. OCLC 6305265.
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mathematical logic, the DeBruijnnotation is a syntax for terms in the λ calculus invented by the Dutch mathematician Nicolaas Govert deBruijn. It can be seen...
In mathematical logic, the deBruijn index is a tool invented by the Dutch mathematician Nicolaas Govert deBruijn for representing terms of lambda calculus...
Nicolaas Govert "Dick" deBruijn (Dutch: [nikoːˈlaːs ˈxoːvərt də ˈbrœyn]; 9 July 1918 – 17 February 2012) was a Dutch mathematician, noted for his many...
In combinatorial mathematics, a deBruijn sequence of order n on a size-k alphabet A is a cyclic sequence in which every possible length-n string on A...
DeBruijn is a Dutch surname meaning "the brown". Notable people with the surname include: Adrianus Cornelis deBruijn [de; nl] (1887–1968), Dutch politician...
abuse of notation, since the use of the equals sign could be misleading as it suggests a symmetry that this statement does not have. As deBruijn says, O(x)...
correspondence between programs and proofs DeBruijn index – notation disambiguating alpha conversions DeBruijnnotation – notation using postfix modification functions...
In analytic number theory, the Dickman function or Dickman–deBruijn function ρ is a special function used to estimate the proportion of smooth numbers...
syntactic, semantic, and computational constituents. Syntax is based on deBruijn’snotation, which overcomes the difficulties of using bound variables. The evaluations...
avoid variable names altogether by using a so-called "name-free" DeBruijn index notation. Explicit substitutions were sketched in the preface of Curry's...
{\displaystyle f(x)\sim g(x)\quad ({\text{as }}x\to \infty )} if and only if (deBruijn 1981, §1.4) lim x → ∞ f ( x ) g ( x ) = 1. {\displaystyle \lim _{x\to...
n ) {\displaystyle O(n/\log n)} , as expressed using big O notation. For binary deBruijn sequences, no better length is possible. The (decision version...
Tao, Terence (2018). "The DeBruijn–Newman constant is non-negative". arXiv:1801.05914 [math.NT]. (preprint) "The DeBruijn-Newman constant is non-negative"...
Edmonton) was an Austrian-Canadian mathematician, best known for his polygon notation. A native of Vienna, Leo Moser immigrated with his parents to Canada at...
the Hesse configuration. A related result is the deBruijn–Erdős theorem. Nicolaas Govert deBruijn and Paul Erdős proved the result in the more general...
von Mangoldt function in mathematical number theory. Lambda denotes the deBruijn–Newman constant which is closely connected with Riemann's hypothesis....
and therefore the cardinality of this multiset is 6. Nicolaas Govert deBruijn coined the word multiset in the 1970s, according to Donald Knuth.: 694 ...
Gardner 1997, p. 6 Gardner 1997, p. 19 Gardner 1997, chapter 1 deBruijn 1981 The P1–P3 notation is taken from Grünbaum & Shephard 1987, section 10.3 Grünbaum...
n)^{2}}}\right)\\&{}\qquad {\text{as }}n\to \infty \end{aligned}}} was established by deBruijn (1981). Gardner (1978) raised the question of whether infinitely many...
DFS V high-resolution site survey systems. Conversion between bases Moser–deBruijn sequence, the numbers that have only 0 or 1 as their base-4 digits Beeler...
objectives." A number of other constructions have been given, by: deBruijn (1976), deBruijn (1977) Rieger (1982) Knopfmacher & Knopfmacher (1987), Knopfmacher...
Article 08.4.8, arXiv:math.CO/0703865, Bibcode:2007math......3865B. Bruijn, N.G. de (1972), "A solitaire game and its relation to a finite field" (PDF)...
precision. The constant in the Berry–Esseen Theorem: 0.4097 < C < 0.4748 DeBruijn–Newman constant: 0 ≤ Λ ≤ 0.2 Chaitin's constants Ω, which are transcendental...
typical of the Sanger-data assemblers and relies on an overlap graph. deBruijn Graph (DBG) approach, which is most widely applied to the short reads...
Franel and Edmund Landau in 1924. The deBruijn–Newman constant denoted by Λ and named after Nicolaas Govert deBruijn and Charles M. Newman, is defined as...
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