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2014, 1st Simon & Schuster hardcover edition., ISBN 1451640099, xiii, 337
.... He sifts through over 30,000 survey submissions to uncover the world's favorite number, and meets a mathematician who looks for universes in his garage... 
Mathematics
Book
Proceedings of the National Academy of Sciences - PNAS, ISSN 1091-6490, 2012, Volume 109, Issue 52, pp. 21182 - 21183
Journal Article
Journal of Experimental Psychology: Human Perception and Performance, ISSN 0096-1523, 02/2016, Volume 42, Issue 2, pp. 281 - 293
Journal Article
Journal of Knot Theory and Its Ramifications, ISSN 0218-2165, 12/2018, Volume 27, Issue 14, p. 1850075
In the paper, we introduce the concept of loop numbers of knot diagrams and we show that loop numbers are knot invariants for a large family of alternating knots... 
Research Article | flype | rational knot | Alternating knot | loop number | meander diagram | Montesinos knot | MATHEMATICS
Journal Article
Journal of experimental psychology. Human perception and performance, ISSN 1939-1277, 2014, Volume 40, Issue 1, pp. 71 - 82
Journal Article
1961, New mathematical library, 1, 136
Book
Cognitive Science, ISSN 0364-0213, 07/2018, Volume 42, Issue 5, pp. 1642 - 1676
.... These include concrete number systems like natural numbers, integers, and rational numbers. Here, we investigate how a more number system, the irrationals denoted by radical expressions like 2, is understood across three tasks... 
Number line | Irrational number | Perfect square | Strategy | Magnitude | Referential processing | Radicals | Arithmetic | MAGNITUDE KNOWLEDGE | WHOLE NUMBER | RATIONAL NUMBERS | REPRESENTATIONAL ANALYSIS | NUMERICAL ESTIMATION | PSYCHOLOGY, EXPERIMENTAL | MATHEMATICS ACHIEVEMENT | NEGATIVE NUMBERS | NUMERATION SYSTEMS | INDIVIDUAL-DIFFERENCES | LINE ESTIMATION | Numbers | Mathematics Instruction | Mathematical Formulas | Number Concepts | Computation | Number systems | Mathematics | Cognition
Journal Article
2017, Graduate studies in mathematics, ISBN 9781470437732, Volume 186., xv, 337 pages
Book
International Journal of Number Theory, ISSN 1793-0421, 02/2017, Volume 13, Issue 1, pp. 15 - 25
The Calkin–Wilf tree is an infinite binary tree whose vertices are the positive rational numbers... 
trees and forests | Calkin-Wilf tree | linear fractional transformations | semigroup actions | MATHEMATICS | RATIONALS
Journal Article
1993, Studies in mathematical thinking and learning., ISBN 0805811354, xi, 372
.... Integrating a number of different research perspectives is a complex task, and ways must be found to reduce the complexity without sacrificing the integration... 
Study and teaching | Fractions | Numbers, Rational | Cognitive Science | Thinking Skills
Book
Bulletin of the Australian Mathematical Society, ISSN 0004-9727, 06/2019, Volume 99, Issue 3, pp. 392 - 402
In this article, we prove the transcendence of certain infinite sums and products by applying the subspace theorem. In particular, we extend the results of... 
MATHEMATICS | rational approximation | subspace theorem | transcendence
Journal Article
2007, Encyclopedia of mathematics and its applications, ISBN 9780521865166, Volume 112, xv, 401
The classical fields are the real, rational, complex and p-adic numbers. Each of these fields comprises several intimately interwoven algebraical and topological structures... 
Numbers, Rational | Number theory | Numbers, Real
Book
Annals of Combinatorics, ISSN 0218-0006, 3/2016, Volume 20, Issue 1, pp. 21 - 58
The “classical” parking functions, counted by the Cayley number (n+1) n−1, carry a natural permutation representation of the symmetric group S n in which the number... 
diagonal harmonics | 05E10 | q, t -Catalan numbers | rational Catalan numbers | Shuffle Conjecture | 05E05 | rational parking functions | Mathematics | 05E18 | Combinatorics | q, t-Catalan numbers | MATHEMATICS, APPLIED | COMPACTIFIED JACOBIANS | STATISTICS | CONJECTURES | COMBINATORIAL FORMULA | CONTINUOUS FAMILY | CHARACTER
Journal Article
1978, Tata Institute of Fundamental Research lectures on mathematics and physics. Mathematics, ISBN 0387089438, Volume 60, 307
Book
2010, ISBN 9781416588252, xi, 319 pages
Whether writing about how algebra solved Swedish traffic problems, visiting the Mental Calculation World Cup to disclose the secrets of lightning calculation,... 
Number concept | Social aspects | Numeracy | Numbers, Rational
Book
Discrete Mathematics, ISSN 0012-365X, 2011, Volume 311, Issue 23, pp. 2708 - 2710
.... Chu, A binomial coefficient identity associated with Beukers’ conjecture on Apéry numbers, The Electronic Journal of Combinatorics 11 (2004) #N15... 
[formula omitted]-harmonic numbers | [formula omitted]-binomial coefficients | Algebraic identity | q-harmonic numbers | q-binomial coefficients | MATHEMATICS | CONGRUENCES | Electronic publishing | Algebra | Binomial coefficients | Mathematical analysis | Rational functions | Decomposition | Combinatorial analysis | Constraining
Journal Article
Journal of Experimental Psychology: General, ISSN 0096-3445, 2015, Volume 144, Issue 1, pp. 127 - 150
Journal Article
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