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  1. 1281
    “…However, box-covering dimensions are only applicable to fractal networks. The construction of these network-dimensions relies on concepts proposed to measure fractality or complexity of irregular sets in [Formula: see text] . …”
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    Online Artículo Texto
    A new method to measure complexity in binary or weighted networks and applications to functional connectivity in the human brain
  2. 1282
    “…Trends with 1/f characteristics comprise fractal properties with repeating oscillation patterns in multiple time scales. …”
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    Mapping Transient Hyperventilation Induced Alterations with Estimates of the Multi-Scale Dynamics of BOLD Signal
  3. 1283
    “…Scattering results reveal that the external surface of micro-sized TATB crystallites are continuous and smooth interfaces and their internal pores display a surface fractal structure (surface fractal dimension 2.15 < D(S) < 2.25), while the external surface of nano-sized TATB particles exhibit a surface fractal structure (surface fractal dimension 2.36 < D(S) < 2.55) and their internal pores show a two-level volume fractal structure (large voids consist of small voids). …”
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    Contrast Variation Small Angle Neutron Scattering Investigation of Micro- and Nano-Sized TATB
  4. 1284
    “…Differential entropy, along with fractal dimension, is herein employed to describe and interpret the shape complexity of self-similar organic islands. …”
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    Online Artículo Texto
    Differential Entropy: An Appropriate Analysis to Interpret the Shape Complexity of Self-Similar Organic Islands
  5. 1285
    “…As a generalization of fractal analysis, multifractal analysis (MFA) is a useful way to systematically describe the spatial heterogeneity of both theoretical and experimental fractal patterns. …”
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    Multifractal analysis of weighted networks by a modified sandbox algorithm
  6. 1286
    “…However, neurodegenerative diseases may also affect the complexity of cortical shape, such as the fractal dimension of the brain surface. OBJECTIVE: In this study, we aimed at assessing the regional patterns of cortical thickness and fractal dimension changes in a cross-sectional cohort of patients with AD and FTD. …”
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    Online Artículo Texto
    Cortical Complexity Analyses and Their Cognitive Correlate in Alzheimer’s Disease and Frontotemporal Dementia
  7. 1287
    “…OBJECTIVES: Fractal analysis is a mathematical method used for the calculation of bone trabeculation and lacunarity. …”
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    Online Artículo Texto
    Peri-implant bone microstructural analysis and comparison of resonance frequency analysis before prosthetic placement: a retrospective study
  8. 1288
    “…Recently, we put forward a new signal amplification technique, which we termed fluorescent signal amplification via cyclic staining of target molecules (FRACTAL). FRACTAL amplifies IF signals by repeatedly labeling target proteins with a pair of secondary antibodies that bind to each other. …”
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    Online Artículo Texto
    Simultaneous amplification of multiple immunofluorescence signals via cyclic staining of target molecules using mutually cross-adsorbed antibodies
  9. 1289
    “…Considerations involve anomalous diffusion (Lévy flights), fractal geometry (fractal-β, bi-fractal and multi-fractal model) and fractional dynamics. …”
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    Nonlinear, nonlocal and fractional turbulence: alternative recipes for the modeling of turbulence
  10. 1290
    por Gao, Honghong, Qiang, Tao
    Publicado 2017
    “…Their surface morphology from impact fracture were imaged with scanning electron microscopy (SEM) and investigated by calculating their fractal dimensions. Then, linear regression was used to explore the relationship between fractal dimension and impact strength of the resultant cellulose/PLA composite materials. …”
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    Fracture Surface Morphology and Impact Strength of Cellulose/PLA Composites
  11. 1291
    por Wu, Tao, Wang, Qian, Wang, Shifang
    Publicado 2021
    “…The predictions from the apparent gas permeability model based on the fractal theory match well with the published permeability model and experimental data, which verifies the rationality of the present fractal apparent gas permeability model.…”
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    An Apparent Gas Permeability Model for Real Gas Flow in Fractured Porous Media with Roughened Surfaces
  12. 1292
    por Braverman, Boris, Tambasco, Mauro
    Publicado 2013
    “…Fractal geometry has been applied widely in the analysis of medical images to characterize the irregular complex tissue structures that do not lend themselves to straightforward analysis with traditional Euclidean geometry. …”
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    Scale-Specific Multifractal Medical Image Analysis
  13. 1293
    “…The fractal dimension was linearly correlated with the UCS and porosity. …”
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    Study on the Macro-Micro Mechanical Properties of Grout Consolidated Coal under Different Loading Rates
  14. 1294
    “…Complex and irregular cell architecture is known to statistically exhibit fractal geometry, i.e., a pattern resembles a smaller part of itself. …”
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    Morphological profiling by high-throughput single-cell biophysical fractometry
  15. 1295
    “…The fragment size distribution of the specimen has obvious fractal characteristics. In addition, its fractal dimension increases with the increase of loading rate and heating temperature, the average size of the specimen fragments decreases correspondingly, and the fracture of the specimen becomes more serious. …”
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    Research on the Impact Loading and Energy Dissipation of Concrete after Elevated Temperature under Different Heating Gradients and Cooling Methods
  16. 1296
    “…A method to describe the roughness by fractal dimension and fractal intercept. We put the fractal dimension and fractal intercept into Matlab to randomly generate three-dimensional laser scanning data of tunnels. …”
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    Calculation model for ventilation friction resistance coefficient by surrounding rock roughness distribution characteristics of mine tunnel
  17. 1297
    “…[Image: see text] Quantitative characterization of the change in the cleat and pore structures and fractal dimensions in anthracite after electrochemical modification is crucial for better understanding of the modification effect. …”
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    Characterization of Pore Structures with Mercury Intrusion Porosimetry after Electrochemical Modification: A Case Study of Jincheng Anthracite
  18. 1298
    “…In this paper, Image-Pro Plus 6.0 software was used to extract the data from SEM images, and the parameters of the area, and the perimeter, aspect ratio and roundness of the pores in the SEM images were obtained. The fractal characteristics of the pores in the SEM image were obtained by using the slit island method fractal theory. …”
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    Study of the Macro and Micro Characteristics of and Their Relationships in Cemented Backfill Based on SEM
  19. 1299
    “…The aim of this study was to find out if the values of volume, fractal dimension, and bone mineral density are correlated with bone strength. …”
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    Microarchitecture Parameters Describe Bone Structure and Its Strength Better Than BMD
  20. 1300
    “…Fractal analyses have become very popular and have been applied on a wide variety of empirical time series. …”
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    Relative Roughness: An Index for Testing the Suitability of the Monofractal Model
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