Results 1 to 10 of about 130,314 (163)
Continued fractions and the Thomson problem [PDF]
Scientific Reports, 2023 We introduce new analytical approximations of the minimum electrostatic energy configuration of n electrons, E(n), when they are constrained to be on the surface of a unit sphere.
Pablo Moscato +2 more
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Extreme Value Theory for Hurwitz Complex Continued Fractions [PDF]
Entropy, 2021 The Hurwitz complex continued fraction is a generalization of the nearest integer continued fraction. In this paper, we prove various results concerning extremes of the modulus of Hurwitz complex continued fraction digits. This includes a Poisson law and
Maxim Sølund Kirsebom
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Approximating the nuclear binding energy using analytic continued fractions [PDF]
Scientific ReportsUnderstanding nuclear behaviour is fundamental in nuclear physics. This paper introduces a data-driven approach, Continued Fraction Regression (cf-r), to analyze nuclear binding energy (B(A, Z)).
Pablo Moscato, Rafael Grebogi
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Convergence criteria of branched continued fractions
Researches in MathematicsThe convergence criteria of branched continued fractions with N branches of branching and branched continued fractions of the special form are analyzed.
I.B. Bilanyk, D.I. Bodnar, O.G. Vozniak
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Continued fractions for permutation statistics [PDF]
Discrete Mathematics & Theoretical Computer Science, 2018 We explore a bijection between permutations and colored Motzkin paths that has been used in different forms by Foata and Zeilberger, Biane, and Corteel.
Sergi Elizalde
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Pell Equations and ℱpl-Continued Fractions
Journal of Mathematics, 2022 In this note, the solvability of the Pell equation, X2−DY2=1, is discussed over ℤ×plℤ. In particular, we show that this equation is solvable over ℤ×plℤ for each prime p and natural number l.
Seema Kushwaha
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Algorithms, 2023 In the field of Artificial Intelligence (AI) and Machine Learning (ML), a common objective is the approximation of unknown target functions y=f(x) using limited instances S=(x(i),y(i)), where x(i)∈D and D represents the domain of interest.
Pablo Moscato +4 more
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Mathematics, 2021 We investigate the efficiency of several types of continued fraction expansions of a number in the unit interval using a generalization of Lochs theorem from 1964.
Dan Lascu, Gabriela Ileana Sebe
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Smarandache Continued Fractions [PDF]
, 2001 The theory of general continued fractions is developed to the extent required in order to calculate Smarandache continued fractions to a given number of decimal places.
Ibstedt, H.
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Generalized continued fractions: a unified definition and a Pringsheim-type convergence criterion
Advances in Difference Equations, 2019 In the literature, many generalizations of continued fractions have been introduced, and for each of them, convergence results have been proved. In this paper, we suggest a definition of generalized continued fractions which covers a great variety of ...
Hendrik Baumann
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