Results 11 to 20 of about 290,972 (299)
Journal of Fractal Geometry, Mathematics of Fractals and Related Topics, 2021 Davis and Knuth in 1970 introduced the notion of revolving sequences, as representations of a Gaussian integer. Later, Mizutani and Ito pointed out a close relationship between a set of points determined by all revolving sequences and a self-similar set, which is called the Dragon.
Kawamura, Kiko, Allen, Andrew
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Nanoscale Research Letters, 2008 Abstract Self-similar patterns are frequently observed in Nature. Their reproduction is possible on a length scale 102–105 nm with lithographic methods, but seems impossible on the nanometer length scale. It is shown that this goal may be achieved via a multiplicative variant of the multi-spacer patterning technology, in this way permitting ...
Cerofolini, GF +3 more
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The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity, 2021 We develop a new definition of fractals which can be considered as an abstraction of the fractals determined through self-similarity. The definition is formulated through imposing conditions which are governed the relation between the subsets of a metric space to build a porous self-similar structure.
Akhmet, Marat, Alejaily, Ejaily Milad
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Fractal Calculus on Fractal Interpolation Functions [PDF]
Fractal and Fractional, 2021 In this paper, fractal calculus, which is called Fα-calculus, is reviewed. Fractal calculus is implemented on fractal interpolation functions and Weierstrass functions, which may be non-differentiable and non-integrable in the sense of ordinary calculus.
Gowrisankar, Arulprakash +2 more
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Betweenness Centrality of Fractal and Non-Fractal Scale-Free Model Networks and Tests on Real Networks [PDF]
, 2007 We study the betweenness centrality of fractal and non-fractal scale-free network models as well as real networks. We show that the correlation between degree and betweenness centrality $C$ of nodes is much weaker in fractal network models compared to ...
Havlin, Shlomo +5 more
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Acknowledgement to Reviewers of Fractal Fract in 2019
Fractal and Fractional, 2020 The editorial team greatly appreciates the reviewers who have dedicated their considerable time and expertise to the journal’s rigorous editorial process over the past 12 months, regardless of whether the papers are finally published or not [...]
Fractal and Fractional Editorial Office
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Classical Liquids in Fractal Dimension [PDF]
, 2015 We introduce fractal liquids by generalizing classical liquids of integer dimensions $d = 1, 2, 3$ to a fractal dimension $d_f$. The particles composing the liquid are fractal objects and their configuration space is also fractal, with the same non ...
Brady, John F. +3 more
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Fractal Pharmacokinetics [PDF]
Computational and Mathematical Methods in Medicine, 2009 Pharmacokinetics (PK) has been traditionally dealt with under the homogeneity assumption. However, biological systems are nowadays comprehensively understood as being inherently fractal. Specifically, the microenvironments where drug molecules interact with membrane interfaces, metabolic enzymes or pharmacological receptors, are unanimously recognized ...
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Evaluating social learning in participatory mapping of ecosystem services
Ecosystems and People, 2019 Recent studies have shown the opportunities and limitations of participatory mapping for ecosystem services management, although it is an incipient research area. One of the research questions yet to be addressed is whether the composition of stakeholder
Ana P. García-Nieto +6 more
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Fractal dimension for fractal structures
Topology and its Applications, 2014 The main goal of this paper has a double purpose. On the one hand, we propose a new definition in order to compute the fractal dimension of a subset respect to any fractal structure, which completes the theory of classical box-counting dimension. Indeed, if we select the so called natural fractal structure on each euclidean space, then we will get the ...
Fernández-Martínez, M. +1 more
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