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  1. 1161
    “…For this, we start defining the production rules of the L-systems to generate the Hilbert fractal, since these rules facilitate the generation of this fractal, which is a fill-space curve. …”
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    Distributed Learning Fractal Algorithm for Optimizing a Centralized Control Topology of Wireless Sensor Network Based on the Hilbert Curve L-System
  2. 1162
    “…We further examined whether this difference could be explained by fractal temporal correlations (wielding dynamics). …”
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    Fractal fluctuations in exploratory movements predict differences in dynamic touch capabilities between children with Attention-Deficit Hyperactivity Disorder and typical development
  3. 1163
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    Editorial: Fractal and Multifractal Facets in the Structure and Dynamics of Physiological Systems and Applications to Homeostatic Control, Disease Diagnosis and Integrated Cyber-Physical Platforms
  4. 1164
    “…The aim of this study was to apply texture analysis (TA) and fractal dimension analysis (FDA) to estimate the effectiveness of OL treatment using an Er:YAG laser. …”
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    Application of Texture and Fractal Dimension Analysis to Estimate Effectiveness of Oral Leukoplakia Treatment Using an Er:YAG Laser—A Prospective Study
  5. 1165
    “…We correct some numerical results of [Chaos Solitons Fractals 135 (2020), 109846], by providing the correct numbers and plots. …”
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    Corrigendum to “Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan” [Chaos Solitons Fractals 135 (2020), 109846]
  6. 1166
    “…Adding venular tortuosity to a model including established risk factors for diabetic retinopathy (HbA(1c), BP and kidney function) improved the discriminative ability (C statistic increased from 0.624 to 0.640, p = 0.013), but no such benefit was found with fractal dimension. CONCLUSIONS/INTERPRETATION: Increased retinal venular tortuosity and decreased fractal dimension are associated with incident diabetic retinopathy, independent of classical risk factors. …”
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    Retinal venular tortuosity and fractal dimension predict incident retinopathy in adults with type 2 diabetes: the Edinburgh Type 2 Diabetes Study
  7. 1167
    “…This would imply that people prefer more complex fractal patterns, but some research has instead suggested people prefer lower-D fractals. …”
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    Parametric Cortical Representations of Complexity and Preference for Artistic and Computer-Generated Fractal Patterns Revealed by Single-Trial EEG Power Spectral Analysis
  8. 1168
    por Pan, Yuhang
    Publicado 2021
    “…The numerical simulations for some specific fractional order and fractal dimension are presented. Furthermore, these results obtained via generalized Caputo–Fabrizio and fractal–fractional derivative show some crossover effects, which is due to non-index law property. …”
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    Nonlinear analysis of a four-dimensional fractional hyper-chaotic system based on general Riemann–Liouville–Caputo fractal–fractional derivative
  9. 1169
    por Chakraborty, Avishek
    Publicado 2022
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    A remark on “COVID-19: Perturbation dynamics resulting chaos to stable with seasonality transmission” [Chaos, Solitons and Fractals 145 (2021) 110772]
  10. 1170
    “…The complexity of pore structure is discussed through the fractal dimension calculated by the fractal Frenkel–Halsey–Hill (FHH) model. …”
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    Pore Structure and Fractal Characteristics of Deep Shale: A Case Study from Permian Shanxi Formation Shale, from the Ordos Basin
  11. 1171
    “…In relation to the fact that the charge carrier circulation is assumed to take place on fractal curves, the so-called fractality type, electrical charge transport can be resolved by an extended scale relativity method. …”
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    Fractal Modeling of Polymer Plasma Laser Ablation, Plasma Plume Tsallis Entropy and Its q-Statistics Interpretation, Part I: Theory
  12. 1172
    por Karadag, Ilkim, Yilmaz, Hasan Guney
    Publicado 2022
    “…The purpose of this study is to observe the change in trabecular bone with fractal dimensional analysis from baseline to 3rd month of implant placement. …”
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    Evaluation of change in trabecular bone structure surrounding dental implants by fractal dimension analysis and comparison with radiomorphometric indicators: a retrospective study
  13. 1173
    “…The results indicated that the bimodal mesoporous BMMs-based samples with short worm-like mesoporous channels possessed both mass and surface fractal features, whereas the MCM-41- and SBA-15-based samples with long-range ordered structures only showed surface fractal features. …”
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    Comparison of mesoporous fractal characteristics of silica-supported organocatalysts derived from bipyridine-proline and resultant effects on the catalytic asymmetric aldol performances
  14. 1174
    “…For special values of parameters, we show that the proposed 10-D system has a very high Kaplan-Yorke fractal dimension, which can reach up to 9.067 indicating the very complexity of the 10-D system dynamics. …”
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    A new 10-D hyperchaotic system with coexisting attractors and high fractal dimension: Its dynamical analysis, synchronization and circuit design
  15. 1175
    por Ma, Yiran, He, Xinyi, Wu, Rui, Shen, Chenhua
    Publicado 2022
    “…In this work, we utilise a well-established multi-fractal detrended fluctuation analysis to examine the multi-fractal scaling behaviour of a column-averaged dry-air mole fraction of carbon dioxide (XCO(2)) concentration time series over China, and portray the spatial distribution of the multi-fractal scaling behaviour. …”
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    Spatial Distribution of Multi-Fractal Scaling Behaviours of Atmospheric XCO(2) Concentration Time Series during 2010–2018 over China
  16. 1176
    “…However, computed tomography (CT) frequently underestimates tumour size due to insufficient depiction of the tumour rim. CT-derived fractal dimension (FD) maps might help to visualise perfusion chaos, thus allowing more realistic size measurement. …”
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    Fractal analysis improves tumour size measurement on computed tomography in pancreatic ductal adenocarcinoma: comparison with gross pathology and multi-parametric MRI
  17. 1177
    “…This article investigates the dynamical complexity and fractal characteristics changes of the Bitcoin/US dollar (BTC/USD) and Euro/US dollar (EUR/USD) returns in the period before and after the outbreak of the COVID-19 pandemic. …”
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    Investigating Dynamical Complexity and Fractal Characteristics of Bitcoin/US Dollar and Euro/US Dollar Exchange Rates around the COVID-19 Outbreak
  18. 1178
    por Steeb, Willi-Hans
    Publicado 1999
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    The nonlinear workbook: chaos, fractals, cellular automata,neural networks, genetic algorithms, fuzzy logic with C++, Java, symbolic C++ and Reduce programs
  19. 1179
    por Kubra, Khadija Tul, Ali, Rooh
    Publicado 2023
    “…In this paper, we examined the disease from the perspective of a fractal fractional derivative in the Caputo sense with a power law type kernal. …”
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    Modeling and analysis of novel COVID-19 outbreak under fractal-fractional derivative in Caputo sense with power-law: a case study of Pakistan
  20. 1180
    “…BACKGROUND: It is aimed to investigate whether there was a difference in radiographic changes in the operational areas between genioplasty alone and genioplasty combined with mandibular advancement and to evaluate the fractal dimension (FD) to assess trabecular changes after genioplasty surgery. …”
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    Evaluation of trabecular changes following advancement genioplasty combined with or without bilateral sagittal split osteotomy by fractal analysis: a retrospective cohort study
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