“…Furthermore, fractal properties are also apparent from the analysis of the diffusion path of guest species through the gel’s porous network. …”
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“…Fractal geometry (FG) is a branch of mathematics that instructively characterizes structural complexity. …”
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“…This paper applies the entropy-based fractal indexing scheme that enables the grid environment for fast indexing and querying. …”
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“…PURPOSE: The present study aimed at evaluating the effectiveness of fractal analysis on determining the osseointegration of dental implants. …”
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“…The fractal images for each region are able to highlight the item causing the deviation from fractal shapes in each region. …”
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“…Fractal analysis provides a global assessment of vascular networks (e.g., geometric complexity). …”
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“…Fractal dimension (FD) calculated on oral radiographs has been proposed as a useful tool to screen for osteoporosis. …”
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“…MATLAB simulation tools have been used for testing different fractal fractional orders considering the data of aforementioned three regions. …”
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“…As the blood flow in a vascular tree varies in a large range of scales and fractal analysis owns the ability to describe multi-scale properties, it is reasonable to apply fractal analysis to depict the blood flow distribution. …”
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“…In addition, this study also emphasis a feasible reconstruction of the death rate based on the fractal interpolation function. Subsequently, the normal probability plot is portrayed for the original data and the predicted data, derived through the fractal interpolation function to estimate the accuracy of the prediction. …”
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“…Statistically significant differences in fractal dimension before and after treatment were observed only in the analysis of photographs taken in 405 + 450 nm wavelength. …”
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“…Polymer microspheres (PMs) are a kind of self-similar volume expansion particle, and their fractal dimension varies with hydration swelling. …”
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“…The centerline streamwise and cross-sectional (x/D(h) = 0.425) turbulence characteristics of a 2D planar space-filling square-fractal-grid (SFG) composed of self-similar patterns superimposed at multiple length-scales is experimentally unveiled via piezoelectric thin-film flapping velocimetry (PTFV). …”
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“…Since self-organizing systems often produce fractal patterns in nature, this study combines approaches of land use science, city ranking, and urban planning under a fractal theory framework, to analyze the settlement system of the Indian Punjab. …”
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“…The fractal characteristics of DNA sequences are studied using the frequency chaos game representation (FCGR) and small-angle scattering (SAS) technique. …”
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“…To improve the prediction accuracy, by introducing the Local Fuzzy Fractal Dimension (LFFD) of complex networks into the analysis of the PPI network, we propose a novel algorithm named LDS, which combines the LFFD of the PPI network with the protein subcellular location information. …”
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“…PURPOSE: The aim of this study was to compare the fractal dimension (FD) measured at 2 bone sites (second cervical vertebra and mandible) on cone-beam computed tomography (CBCT). …”
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“…Within the present paper, a novel approach for extending the isothermal processing window towards significantly lower temperatures by applying the quasi-simultaneous laser-based exposure of fractal scan paths is proposed. The proposed approach is based on the temporal and spatial discretization of the melting and subsequent crystallization of semi-crystalline thermoplastics, hence allowing for the mesoscale compensation of crystallization shrinkage of distinct segments. …”
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“…We analyse the fractal nature of geomagnetic field northward and eastward horizontal components with 1 min resolution measured by the four stations Belsk, Hel, Sodankylä and Hornsund during the period of 22 August–1 September, when the 26 August 2018 geomagnetic storm appeared. …”
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