Results 31 to 40 of about 193,673 (231)
From Fractal Geometry to Fractal Analysis
Applied Mathematics, 2016 Euclidian geometry pertained only to the artificial realities of the first, second and third dimensions. Fractal geometry is a new branch of mathematics that proves useful in representing natural phenomena whose dimensions (fractal dimensions) are non-integer values. Fractal geometry was conceived in the 1970s, and mainly developed by Benoit Mandelbrot.
Gabriele A. Losa +4 more
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Determination of the Fractal Dimension of CO2 Adsorption Isotherms on Shale Samples
Geofluids, 2022 The fractal theory has been widely applied to the analysis of gas adsorption isotherms, which are used for the pore structure characterization in unconventional reservoirs. Fractal dimension is a key parameter that can indicate the complexity of the pore
Hongyan Qi +4 more
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Fractal and multifractal analysis of PET-CT images of metastatic melanoma before and after treatment with ipilimumab [PDF]
, 2015 PET/CT with F-18-Fluorodeoxyglucose (FDG) images of patients suffering from metastatic melanoma have been analysed using fractal and multifractal analysis to assess the impact of monoclonal antibody ipilimumab treatment with respect to therapy outcome ...
Breki, Christina-Marina +6 more
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Fractals, 2009 The formulation of a new analysis on a zero measure Cantor set C(⊂I = [0,1]) is presented. A non-Archimedean absolute value is introduced in C exploiting the concept of relative infinitesimals and a scale invariant ultrametric valuation of the form log ε-1 (ε/x) for a given scale ε > 0 and infinitesimals 0 < x < ε, x ∈ I\C.
Raut, Santanu, Datta, Dhurjati Prasad
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Fractal Fidelity as a signature of Quantum Chaos
, 2007 We analyze the fidelity of a quantum simulation and we show that it displays fractal fluctuations iff the simulated dynamics is chaotic. This analysis allows us to investigate a given simulated dynamics without any prior knowledge.
D. Rossini +7 more
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Deterministic fractals: extracting additional information from small-angle scattering data
, 2011 The small-angle scattering curves of deterministic mass fractals are studied and analyzed in the momentum space. In the fractal region, the curve I(q)q^D is found to be log-periodic with a good accuracy, and the period is equal to the scaling factor of ...
Anitas, E. M. +3 more
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A Comparative Study of Fractal Models Applied to Artificial and Natural Data
Fractal and FractionalThis paper presents an original and comprehensive comparative analysis of eight fractal analysis methods, including Box Counting, Compass, Detrended Fluctuation Analysis, Dynamical Fractal Approach, Hurst, Mass, Modified Mass, and Persistence.
Gil Silva +9 more
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Fractal Analysis Of Colors And Shapes For Natural And Urbanscapes URBANSCAPES [PDF]
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2015 Fractal analysis has been applied in many fields since it was proposed by Mandelbrot in 1967. Fractal dimension is a basic parameter of fractal analysis.
J. Wang, S. Ogawa
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Small-angle scattering from fat fractals
, 2014 A number of experimental small-angle scattering (SAS) data are characterized by a succession of power-law decays with arbitrarily decreasing values of scattering exponents.
Anitas, Eugen M.
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Understanding Fractal Analysis? The Case of Fractal Linguistics [PDF]
Complexus, 2006 Terms such as ‘self-similarity’, ‘space filling’, ‘fractal dimension’, and associated concepts have different meanings to different people depending on their background. We examine how methodology in fractal analysis is influenced by diverse definitions of fundamental concepts that lead to difficulties in understanding fundamental issues.
Jelinek, Herbert F. +5 more
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