Results 31 to 40 of about 164,071 (341)
A Brief Survey of Paradigmatic Fractals from a Topological Perspective
Fractal and Fractional, 2023 The key issues in fractal geometry concern scale invariance (self-similarity or self-affinity) and the notion of a fractal dimension D which exceeds the topological dimension d.
Julián Patiño Ortiz +3 more
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Artificial Intelligence, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Keith McGreggor +2 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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Using Fractals in Information Hiding [PDF]
Engineering and Technology Journal, 2009 Fractals are generated by simple, recursive calculations. Encryption anddecryption algorithms that take advantage of fractals are developed. This paper presents a new approach for information hiding using iterated function system (IFS) this approach ...
Nadia M. Al-Saidie, Thanaa A. Kadhim
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Comptes Rendus. Mathématique, 2020 This appendix gives a lower bound of the Billingsley-Hausdorff dimension of a level set related to Birkhoff average in the “non-compact” symbolic space $\mathbb{N}^{\mathbb{N}}$, defined by Gibbs measure.
Selmi, Bilel
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, 2022 Linear fractals associated with weights are investigated. Such fractals are important from a conservation law perspective that is relevant in a variety of physical systems such as materials science, sand dune fractals, barred galaxies, as well as in ...
Subhash Kak (9172688)
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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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Explicit Spectral Decimation for a Class of Self-Similar Fractals
Abstract and Applied Analysis, 2013 The method of spectral decimation is applied to an infinite collection of self-similar fractals. The sets considered are a generalization of the Sierpinski Gasket to higher dimensions; they belong to the class of nested fractals and are thus very ...
Sergio A. Hernández +1 more
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The Structure of Mn and Co Nanoparticles Obtained in Direct Surfactant Micelles [PDF]
Журнал нано- та електронної фізики, 2017 The article deals with synthesis of Co and Mn nanoparticles in micellar aqueous solutions of cetyl pyridinium chloride. The nanoparticles (3-4В nm) and the spherical fractals (50, 150, 500 nm) have been identified with electron spectroscopy, dynamic ...
I.G.В Vorobiova +2 more
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