Results 11 to 20 of about 122,847 (179)
Strong Resonance of Light in a Cantor Set
Journal of the Physical Society of Japan, 2005 The propagation of an electromagnetic wave in a one-dimensional fractal object, the Cantor set, is studied. The transfer matrix of the wave amplitude is formulated and its renormalization transformation is analyzed. The focus is on resonant states in the
Bertolotti M. +7 more
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Visible and Invisible Cantor Sets [PDF]
, 2012 In this article we study for which Cantor sets there exists a gauge-function h, such that the h-Hausdorff-measure is positive and finite. We show that the collection of sets for which this is true is dense in the set of all compact subsets of a Polish space X.
Cabrelli, Carlos +2 more
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The American Mathematical Monthly, 2019 Provisionally accepted by the American Mathematical ...
Jayadev S. Athreya +2 more
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Characterization of the Local Growth of Two Cantor-Type Functions
Fractal and Fractional, 2019 The Cantor set and its homonymous function have been frequently utilized as examples for various physical phenomena occurring on discontinuous sets.
Dimiter Prodanov
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Using cantor sets for error detection [PDF]
PeerJ Computer Science, 2019 Error detection is a fundamental need in most computer networks and communication systems in order to combat the effect of noise. Error detection techniques have also been incorporated with lossless data compression algorithms for transmission across ...
Nithin Nagaraj
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Distinguishing Bing-Whitehead Cantor sets [PDF]
Transactions of the American Mathematical Society, 2011 Bing-Whitehead Cantor sets were introduced by DeGryse and Osborne in dimension three and greater to produce examples of Cantor sets that were non standard (wild), but still had simply connected complement. In contrast to an earlier example of Kirkor, the construction techniques could be generalized to dimensions bigger than three. These Cantor sets in $
Garity, Dennis +3 more
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Gramatyka nieskończoności. Ludwiga Wittgensteina krytyka teorii mnogości
Analiza i Egzystencja, 2023 The paper discusses a relatively underexamined element of Wittgenstein’s philosophy of mathematics associated with his critique of set theory. I outline Wittgenstein’s objections to the theories of Dedekind and Cantor, including the confounding of ...
Piotr Dehnel
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Translating the Cantor set by a random [PDF]
, 2011 We determine the constructive dimension of points in random translates of the Cantor set. The Cantor set "cancels randomness" in the sense that some of its members, when added to Martin-Lof random reals, identify a point with lower constructive dimension
Dougherty, Randall +3 more
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Some remarks on the Hausdorff measure of the Cantor set
SHS Web of Conferences, 2016 In this paper, the author further reveals some intrinsic properties of the Cantor set. By the properties, the author gives a new method for calculating the exact value of the Hausdorff measure of the Cantor set, and shows the facts that each covering ...
Wang Minghua
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Assouad and Lower Dimensions of Some Homogeneous Cantor Sets
Journal of Mathematics, 2022 We compute the Assouad dimensions and the lower dimensions of a class of homogeneous Cantor sets without the condition that the smallest compression ratio C⋆>0 and find that the lower dimension of a homogeneous Cantor set E may be any a number in the ...
Xiao JiaQing
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