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“…BACKGROUND: Fractal analysis is, a noninvasive method, used to determine the intricate characteristics of the matter. …”
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“…One type of fractal dimension definition is based on the generalized entropy function. …”
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“…The pulmonary pathological symptoms reflected through the lung sound opens a possibility of detection through auscultation and of employing spectral, fractal, nonlinear time series and principal component analyses. …”
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“…This fractal property is governed by power-law functions characterized by the fractal dimension (FD). …”
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“…Here, we use non-equilibrium molecular dynamics simulations to calculate lattice thermal conductivity of [Formula: see text] monolayer crystals including [Formula: see text] alloys with substitutional point defects, periodic [Formula: see text] heterostructures with characteristic length scales and scale-free fractal [Formula: see text] heterostructures. Each of these features has a distinct effect on phonon propagation in the crystal, which can be used to design fractal and periodic alloy structures with highly tunable thermal conductivities. …”
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“…We investigate the degree to which neurons are fractal, the origin of this fractality, and its impact on functionality. …”
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“…The work is intended to summarize the recent progress in the work of fractal theory in packaging material to provide important insights into applied research on fractal in packaging materials. …”
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“…The CuO microtufts along with high surface area fractals allowed an effective and sustainable way to capture and transport water. …”
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“…We report on the fabrication of fractal dendrites using laser-induced melting of aluminum alloys. …”
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“…We hypothesize that fractal algorithms applied to electroencephalographic (EEG) signals may track brain impairment after stroke. …”
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“…Here, using Vibrio cholerae as our model organism, a custom-built adaptive stereo microscope, fluorescence imaging, mechanical theory, and simulations, we report a fractal wrinkling morphogenesis program that differs radically from the well-known coalescence of wrinkles into folds that occurs in passive thin films at fluid–fluid interfaces. …”
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“…This paper introduces a novel outlier evaluation approach by integrating the fractal dimension (FD), capturing the geometrical complexity of patterns, as an additional parameter with the heat map. …”
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“…Currently, Atangana proposed new fractal-fractional operators that had extensively used to observe the unpredictable elements of an issue. …”
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“…Fractals are intriguing structures that repeat themselves at various length scales. …”
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“…They imply in particular that any fractal boundary is touched by macroscopic clusters, uniformly in its roughness or the configuration on the boundary. …”
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“…While brain white matter loss is a characteristic lesion during neurodegeneration, the main objective of this study was to create a computational tool for high precision measuring structural brain changes using the fractal dimension (FD) definition. The validation of the BrainFD software is based on T1-weighted MRI images from the Open Access Series of Imaging Studies (OASIS)-3 brain database, where each participant has multiple MRI scan sessions. …”
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“…We derived a three-parameter model and show that the “fractal” exponent h of time larger than unity can capture the impact of preventive measures affecting population mobility.  …”
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“…This special issue of the European Physical Journal Special Topics titled “Frontiers of Fractals for Complex Systems: Recent Advances and Future Challenges”  is a collection of cutting-edge research proposing the application of fractal features to the dynamics of highly nonlinear complex systems.…”
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