Results 61 to 70 of about 122,847 (179)
Complex Manifolds, 2019 In this paper, for a non-compact Riemman surface S homeomorphic to either: the Infinite Loch Ness monster, the Cantor tree and the Blooming Cantor tree, we give a precise description of an infinite set of generators of a Fuchsian group Γ < PSL(2, ℝ ...
Arredondo John A. +1 more
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Badly approximable vectors on a vertical Cantor set [PDF]
, 2012 For $i, j > 0, i + j = 1$, the set of badly approximable vectors with weight $(i, j)$ is defined by $Bad(i, j) = \{(x, y) \in \R^2 : \exists c > 0 \forall q\in\N, \;\; \max\{q||qx||^{1/i}, q||qy||^{1/j} \} > c\}$, where $||x||$ is the distance of $x$ to ...
Nesharim, Erez
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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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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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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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A Conversation on Divine Infinity and Cantorian Set Theory [PDF]
, 2012 This essay is written as a drama that opens with Aristotle, St. Augustine of Hippo, St. Thomas Aquinas, and Nicholas of Cusa debating the nature and reality of infinity, introducing historical concepts such as potential, actual, and divine infinity ...
Henry, Stephen G.
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Resonance between Cantor sets [PDF]
Ergodic Theory and Dynamical Systems, 2009 AbstractLet Ca be the central Cantor set obtained by removing a central interval of length 1−2a from the unit interval, and then continuing this process inductively on each of the remaining two intervals. We prove that if log b/log a is irrational, then where dim is Hausdorff dimension.
Peres, Y, Shmerkin, P
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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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Remainders, Singular Sets and the Cantor Set
Rocky Mountain Journal of Mathematics, 1994 The authors characterize when, for nonlocally compact \(X\), there is a compactification \(\alpha X\) of \(X\) for which the closure of \(\alpha X\smallsetminus X\) is homeomorphic to the Cantor set \(2^ \omega\).
Hatzenbuhler, James P., Mattson, Don A.
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