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182“…It is revealed that the local maxima in the profit landscape are spread in the form of a fractal structure. The fractal structure implies that successful strategies are not localized to any region of the profit landscape and are neither spaced evenly throughout the profit landscape, which makes the optimization notoriously hard and hypersensitive for partial or limited information. …”
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183por Ong, Yi-Ting, Hilal, Saima, Cheung, Carol Yim-lui, Xu, Xin, Chen, Christopher, Venketasubramanian, Narayanaswamy, Wong, Tien Yin, Ikram, Mohammad Kamran“…In multivariable adjusted models, reduced retinal arteriolar and venular fractal dimensions were associated with an increased risk of CIND-mild and CIND-moderate. …”
Publicado 2014
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184por Hochman-Mendez, Camila, Cantini, Marco, Moratal, David, Salmeron-Sanchez, Manuel, Coelho-Sampaio, Tatiana“…Data in the present work suggest that the intrinsic fractal nature of polymerized laminin can be the structural basis for the fractal-like organization of basement membranes in the neurogenic niches of the central nervous system.…”
Publicado 2014
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185por Fabrizii, Markus, Moinfar, Farid, Jelinek, Herbert F., Karperien, Audrey, Ahammer, Helmut“…After image segmentation the box counting method as well as multifractal methods were applied to determine the relation between fractal dimension and grades of CIN. A total of 46 images were used to compare the pathologist's neoplasia grades with the predicted groups obtained by fractal methods. …”
Publicado 2014
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186“…Bipartite networks have attracted considerable interest in various fields. Fractality and multifractality of unipartite (classical) networks have been studied in recent years, but there is no work to study these properties of bipartite networks. …”
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187“…As a structure-based image compression technology, fractal image compression (FIC) has been applied not only in image coding but also in many important image processing algorithms. …”
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188por Gmachowski, Lech“…Lateral movement of a molecule in a biomembrane containing small compartments (0.23-μm diameter) and large ones (0.75 μm) is analyzed using a fractal description of its walk. The early time dependence of the mean square displacement varies from linear due to the contribution of ballistic motion. …”
Publicado 2017
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189por Remón, Laura, García-Delpech, Salvador, Udaondo, Patricia, Ferrando, Vicente, Monsoriu, Juan A., Furlan, Walter D.“…In this work, we present a new concept of IOL design inspired by the demonstrated properties of reduced chromatic aberration and extended depth of focus of Fractal zone plates. A detailed description of a proof of concept IOL is provided. …”
Publicado 2018
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190“…Such a series shows self-similarity similar to fractal objects. Here we used the number of distinct fragments to calculate the fractal dimension of the molecule. …”
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191“…We study the dynamics of semiflexible hyperbranched macromolecules having only dendritic units and no linear spacers, while the structure of these macromolecules is modeled through T-fractals. We construct a full set of eigenmodes of the dynamical matrix, which couples the set of Langevin equations. …”
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192“…Fractal processes have recently received a growing interest, especially in the domain of rehabilitation. …”
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193por Geiger, Bernhard C.“…We furthermore show that these sets are finely structured and self-similar in a well-defined sense, i.e., they have properties that are common to fractals.…”
Publicado 2018
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194“…Finally, the scale invariance of the fractal thermodynamical system is discussed in terms of the Callan–Symanzik equation.…”
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195por Abbasi, M., Bollini, A.L., Castillo, J.L.B., Deppman, A., Guidio, J.P., Matuoka, P.T., Meirelles, A.D., Policarpo, J.M.P., Ramos, A.A.G.F., Simionatto, S., Varona, A.R.P., Andrade-II, E., Panjeh, H., Trevisan, L.A.“…The hypothesis that fractal structures can be formed in cities as well as in larger networks is tested, indicating that indeed self-similarity may be found in networks connecting several cities.…”
Publicado 2020
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196por Woignier, Thierry, Primera, Juan, Alaoui, Adil, Dieudonne, Philippe, Duffours, Laurent, Beurroies, Isabelle, Calas-Etienne, Sylvie, Despestis, Florence, Faivre, Annelise, Etienne, Pascal“…In this review paper, we describe the fractal structure of silica aerogels that can develop depending on the synthesis conditions. …”
Publicado 2020
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197por Turcotte, Donald L.“…These studies introduced the controversial possibility that the extremes of floods and droughts could be fractal. An extensive study of flood gauge records at 1200 stations in the United States indicates a good correlation with fractal statistics. …”
Publicado 1994
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199“…These fluctuations were analyzed by Detrended Fluctuation Analysis to determine generalized fractal dimensions. Results indicate that tumor interface fractal dimension, local roughness exponent and surface regularity are parameters that discriminate between gliomas and meningiomas/schwannomas.…”
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200“…Here, we use theory and simulation to formulate such a connection by studying a fundamental topological property—the random knotting probability—for ring polymers with varying fractal dimension, d(f). Using straightforward scaling arguments, we generalize a classic mathematical result, showing that the probability of a trivial knot decays exponentially with chain size, N, for all fractal dimensions: P(0)(N) ∝ exp(−N/N(0)). …”
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