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Calkin–Wilf tree
Known as:
Calkin (disambiguation)
, Neil Calkin
, Fusc
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In number theory, the Calkin–Wilf tree is a tree in which the vertices correspond 1-for-1 to the positive rational numbers. The tree is rooted at the…
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Related topics
Related topics
11 relations
Bit-reversal permutation
Breadth-first search
Euclidean algorithm
Floor and ceiling functions
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Papers overview
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2017
2017
The Calkin–Wilf Tree of a Quadratic Surd
Lionel Ponton
The American mathematical monthly
2017
Corpus ID: 119630670
Abstract By using the Calkin–Wilf tree, we prove the irrationality of numbers of the form where N is a positive integer that is…
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2014
2014
The (u,v)-Calkin-Wilf Forest
Sandie Han
,
Ariane M. Masuda
,
Satyanand Singh
,
Johann Thiel
2014
Corpus ID: 119328647
In this paper we consider a refinement, due to Nathanson, of the Calkin-Wilf tree. In particular, we study the properties of such…
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2011
2011
Two further generalizations of the Calkin–Wilf tree
T. Mansour
,
M. Shattuck
2011
Corpus ID: 54491070
In this paper, we consider two further analogues of the Calkin– Wilf tree and of the Calkin–Wilf sequence. We first consider (p…
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2011
2011
Christoffel Words and the Calkin-Wilf Tree
Alessandro De Luca
,
C. Reutenauer
Electronic Journal of Combinatorics
2011
Corpus ID: 15403264
In this note we present some results on the Calkin-Wilf tree of irreducible fractions, giving an insight on the duality relating…
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2010
2010
Enumerating the Rationals from Left to Right
S. Glasby
The American mathematical monthly
2010
Corpus ID: 5223003
Abstract The rationals can be enumerated using Stern-Brocot sequences 풮ℬn, Calkin-Wilf sequences 풞풲n, or Farey sequences ℱn. We…
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2009
2009
Youth Leadership Development: Perceptions and Preferences of Urban Students Enrolled in a Comprehensive Agriculture Program.
James C. Anderson
,
Eunyoung Kim
2009
Corpus ID: 154649682
This descriptive study explores the perceptions of and preferences for leadership development by students enrolled in a…
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2008
2008
Calkin-Wilf Tree
E. Weisstein
2008
Corpus ID: 133070646
A Calkin-Wilf tree is a special type of binary tree obtained by starting with the fraction 1/1 and iteratively adding a/(a+b) and…
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2007
2007
Statistical properties of the Calkin--Wilf tree: real an p-adic distribution
Giedrius Alkauskas
,
J. Steuding
2007
Corpus ID: 1794867
We examine statistical properties of the Calkin--Wilf tree and give number-theoretical applications.
Highly Cited
1992
Highly Cited
1992
Analysing system-user cooperation in KADS
J. Breuker
,
P. D. Greef
1992
Corpus ID: 16504796
1979
1979
A system for developing programs by transformation
M. Feather
1979
Corpus ID: 1488828
Much of the difficulty of programming can be atcribute: ' to the clash between the goal of efficiency and other desirable goals…
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