Results 261 to 270 of about 768,716 (287)

Irrationality exponent and convergence exponent in continued fraction expansions

Nonlinearity
Abstract Let x ∈ ( 0 , 1 ) be an irrational number with continued ...
Song, Kunkun, Tan, Xiaoyan, Zhang, Zhenliang   +2 more
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On the exponent of convergence of a packing of spheres

Mathematika, 1966
Suppose, in n-dimensional Euclidean space, a sequence of disjoint closed spheres is packed into the open unit n-cube In in such a way as to ensure that the residual set has zero volume. Then, of course, is convergent and it can be shown, for n = 2, that is divergent. Let the exponent of convergence of the packing be the supremum of those real numbers t
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Convergence Exponent of a Singular Series for a Multi–Dimensional Problem

Moscow University Mathematics Bulletin, 2018
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Arkhipova, L. G., Chubarikov, V. N.
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A Convergence exponent for multidimensional continued-fraction algorithms

Journal of Statistical Physics, 1992
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Convergence to a Gaussian limit as the normalization exponent tends to

Statistics & Probability Letters, 1991
Abstract Certain quadratic forms with long-range dependence, normalized by Nd with d > 1 2 , have a non-Gaussian limit, but under further normalization, as d → 1 2 , the limit becomes Gaussian.
Norma Terrin, Murad S. Taqqu
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Convergence Exponent of Pierce Expansion Digit Sequences

International Journal of Number Theory
In this paper, we investigate the convergence exponent of Pierce expansion digit sequences. We explore some basic properties of the convergence exponent as a real-valued function defined on the closed unit interval, as well as those of the level sets of the function.
Min Woong Ahn
exaly   +3 more sources

Relation between fractal dimension and convergence exponents

Physics Letters A, 1984
Abstract The convergence exponents α and β introduced by Grassberger for the box-counting algorithm are discussed. We show that α (1 + β) is an estimate from above of the fractal dimension and we verify the relation in two cases.
R. Badii, A. Politi
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Convergent Series with Exponents: 10928

The American Mathematical Monthly, 2003
Christopher J. Hillar, Patrick J. Fitzsimmons   +1 more
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The Exponent of Convergence of Poincaré Series

Proceedings of the London Mathematical Society, 1968
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The Exponent of Convergence of Poincaré Series

Journal of the London Mathematical Society, 1976
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