Results 51 to 60 of about 12,741 (164)
Sibirskie Elektronnye Matematicheskie Izvestiya, 2018 We introduce a class of self-similar sets which we call {\em twofold Cantor sets} $K_{pq}$ in $\mathbb R$ which are totally disconnected, do not have weak separation property and at the same time have isomorphic self-similar structures.
Kamalutdinov, K. G., Tetenov, A. V.
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Cantor Limit Set of a Topological Transformation Group on S1
International Journal of Mathematics and Mathematical Sciences, 2011 The limit set of a topological transformation group on S1 generated by two generators is proved to be totally disconnected (or thin) and perfect if the conditions (i–v) are satisfied. A concrete application to a Doubly Periodic Riccati equation is given.
Keying Guan, Zuming Chen
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Unambiguous Tree Languages Are Topologically Harder Than Deterministic Ones [PDF]
Electronic Proceedings in Theoretical Computer Science, 2012 The paper gives an example of a tree language G that is recognised by an unambiguous parity automaton and is analytic-complete as a set in Cantor space.
Szczepan Hummel
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Primality, Fractality, and Image Analysis
Entropy, 2019 This paper deals with the hidden structure of prime numbers. Previous numerical studies have already indicated a fractal-like behavior of prime-indexed primes. The construction of binary images enables us to generalize this result.
Emanuel Guariglia
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Vanishing sums of roots of unity and the Favard length of self-similar product sets
Discrete Analysis, 2022 Vanishing sums of roots of unity and the Favard length of self-similar product sets, Discrete Analysis 2022:19, 31 pp. An important theme in geometric measure theory is the typical size of a set when it is randomly projected. For example, suppose that $
Izabella Laba, Caleb Marshall
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Ophthalmic: Laboratorio virtual para el diseño de nuevas lentes oftálmicas
Modelling in Science Education and Learning, 2013 This work presents a new virtual laboratory, OPHTALMIC, developed with MATLAB GUI for using in Optics and Optometry courses as a computer tool for studying the focusing properties of multifocal diffractive both on unconventional structures both periodic ...
Arnau Calatayud +4 more
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Connected metrizable subtopologies and partitions into copies of the Cantor set
Applied General Topology, 2006 We prove under Martin’s Axiom that every separable metrizable space represented as the union of less than 2 ω zero-dimensional compact subsets is zero-dimensional. On the other hand, we show in ZFC that every separable completely metrizable space without
Irina Druzhinina
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On the structure of λ-Cantor set with overlaps
Advances in Applied Mathematics, 2019 28 pages, 1 ...
Dajani, Karma +2 more
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Open Mathematics, 2019 The set of subsums of the series ∑n=1∞$\begin{array}{} \sum_{n=1}^{\infty} \end{array}$ xn is known to be one of three types: a finite union of intervals, homeomorphic to the Cantor set, or of the type known as a Cantorval.
Ferdinands John, Ferdinands Timothy
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Non-local Integrals and Derivatives on Fractal Sets with Applications
Open Physics, 2016 In this paper, we discuss non-local derivatives on fractal Cantor sets. The scaling properties are given for both local and non-local fractal derivatives. The local and non-local fractal differential equations are solved and compared.
Golmankhaneh Alireza K., Baleanu D.
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