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  1. 2201
    “…The largest increase was with the treatment of Pennisetum sinese, while the fractal dimension (FD) of mechanically stable aggregates could be significantly reduced by the treatment of Pennisetum sp. …”
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    In situ phytoremediation of copper and cadmium in a co-contaminated soil and its biological and physical effects
  2. 2202
    “…SEM images and variations in the fractal dimension index indicated that complex-structure, feather-like leaves became coral-like branches between 30 and 60 min of synthesis. …”
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    Effect of synthesis time on plasmonic properties of Ag dendritic nanoforests
  3. 2203
    “…The experimental data for the real and imaginary impedance parts were mounted on the equivalent grain resistance (R(g))//fractal capacitance (CPE) circuit. Indeed, the activation energies extracted from the electrical conductivity and the resistance of the grain resistance (R(g)) closed and confirmed a transformation of the electrical behavior confirmed by a decrease in the resistance of the materials. …”
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    Structural, morphological, and electrical properties of silver-substituted ZnAl(2)O(4) nanoparticles
  4. 2204
    “…In this work, we will review some typical applications of these methods, ranging from the field of colloidal fractal aggregation to the polymerization of biologic networks made of randomly entangled nanosized fibers. …”
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    Light Scattering and Turbidimetry Techniques for the Characterization of Nanoparticles and Nanostructured Networks
  5. 2205
    “…We obtain a complex spectral signal of the Omicron variant genome where the fingerprints of nucleobases in nucleosides are clearly unveiled and assigned in detail. Furthermore, the fractal SERS layer offers the presence of confined spatial regions in which the analyte remains trapped under hydration conditions. …”
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    Molecular Fingerprinting of the Omicron Variant Genome of SARS-CoV-2 by SERS Spectroscopy
  6. 2206
    por Ancona, Marco, Brackley, Chris A.
    Publicado 2022
    “…If the protein-protein interactions have a strictly limited valence, fractal or gel-like condensates are instead observed. …”
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    Simulating the chromatin-mediated phase separation of model proteins with multiple domains
  7. 2207
    “…A number of equations and kinetic models were used to describe the adsorption rate data, including first (FOE) and second (SOE) order kinetic equations, 1,2-mixed-order kinetic equation (MOE), fractal-like MOE equation (f-MOE), multi-exponential equation (m-exp), in addition to diffusion models: intraparticle diffusion model (IDM) and pore diffusion model (PDM). …”
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    Adsorption of Non-Steroidal Anti-Inflammatory Drugs on Alginate-Carbon Composites—Equilibrium and Kinetics
  8. 2208
    “…Network identification is achieved with the Functional Source Separation (FSS) algorithm applied to electroencephalographic (EEG) recordings, the neurodynamics quantified through signal complexity with the Higuchi Fractal Dimension (HFD), and functional connectivity with the Directed Transfer Function (DTF). …”
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    Functional Source Separation-Identified Epileptic Network: Analysis Pipeline
  9. 2209
    “…In this paper, a Minkowski-fractal metamaterial absorber (MMA) with the resistive film is proposed in the GPR transceiver antenna to reduce the mutual coupling. …”
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    Mutual Coupling Suppression of GPR Antennas by Depositing Wideband Meta-Absorber with Resistive Film
  10. 2210
    “…Naturally occurring body movements and collective neural activity both exhibit complex dynamics, often with scale-free, fractal spatiotemporal structure. Scale-free dynamics of both brain and behavior are important because each is associated with functional benefits to the organism. …”
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    Scale-free behavioral dynamics directly linked with scale-free cortical dynamics
  11. 2211
    “…The alpha PSD increased in all brain areas during mindfulness in both weeks. For complexity, Fractal Dimension (FD) increased significantly during meditation in the week six recording. …”
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    Intermediate effects of mindfulness practice on the brain activity of college students: An EEG study
  12. 2212
    “…The possible promotion mechanism regarding the nucleation and growth behaviors of the sol-gel particles was proposed. The fractal evolutions of the aluminosilicate species with crystallization time implied that the aluminosilicate species became gradually smooth to rough during the crystallization procedures since the amorphous structures transformed into flower-like morphologies. …”
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    Amphipathic Solvent-Assisted Synthetic Strategy for Random Lamellae of the Clinoptilolites with Flower-like Morphology and Thinner Nanosheet for Adsorption and Separation of CO(2) and CH(4)
  13. 2213
    “…The value of the maximal robustness is given by a fractal continuous everywhere but differentiable nowhere sums-of-digits function from number theory. …”
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    Maximum mutational robustness in genotype–phenotype maps follows a self-similar blancmange-like curve
  14. 2214
    “…Additionally, the absorber demonstrates a high level of symmetry, resulting in insensitivity to TE mode polarisation angle and incident angle. The fractal resonators exhibited a capacitive effect at lower frequencies, while the SRRs demonstrated a capacitive effect at higher frequencies. …”
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    Simulation of the microwave five-band a perfect metamaterial absorber for the 5G communication‏
  15. 2215
    por Dudczyk, Janusz, Rybak, Łukasz
    Publicado 2023
    “…The data processing in the mentioned types of systems is a very sophisticated issue and is based on advanced machine learning algorithms, artificial neural networks, fractal analysis, intra-pulse analysis, unintentional out-of-band emission analysis, and hybrids of these methods. …”
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    Application of Data Particle Geometrical Divide Algorithms in the Process of Radar Signal Recognition
  16. 2216
    “…Fractional calculus is an essential tool in studying new phenomena in hydromechanics and heat and mass transfer, particularly anomalous hydromechanical advection–dispersion considering the fractal nature of the porous medium. They are valuable in solving the urgent problem of convective mass transfer in a porous medium (e.g., membranes, filters, nozzles, convective coolers, vibrational prillers, and so on). …”
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    Parameter Identification of the Fractional-Order Mathematical Model for Convective Mass Transfer in a Porous Medium
  17. 2217
    “…We also examine the local fractal or geometrical properties of proteins via computational measurements of the end-to-end distance and the degree of interpenetration of its subchains. …”
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    Statistics of Knots, Geometry of Conformations, and Evolution of Proteins
  18. 2218
    por Vinga, Susana, Almeida, Jonas S
    Publicado 2007
    “…Subsequent work proposed a fractal pdf kernel as a more exact solution for the iterated map representation. …”
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    Local Renyi entropic profiles of DNA sequences
  19. 2219
    “…To test this, we addressed the possible interaction between cognitive task performance and endogenous fMRI oscillations in an experiment designed to answer two questions: 1) Does performance of a cognitively effortful task significantly change fractal scaling properties of fMRI time series compared to their values before task performance? …”
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    Endogenous Human Brain Dynamics Recover Slowly Following Cognitive Effort
  20. 2220
    por Földes-Papp, Zeno, Baumann, Gerd
    Publicado 2011
    “…For this reason, we first introduce a kind of Continuous Time Random Walks (CTRW), which we call Limited Continuous Time Random Walks (LCTRW) on fractal support. The random waiting time distributions are sampled at points which fulfill the condition N < 1, where N is the Poisson probability of finding a single molecule in the femtoliter-sized observation volume ΔV at the single-molecule level. …”
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    Fluorescence Molecule Counting for Single-Molecule Studies in Crowded Environment of Living Cells without and with Broken Ergodicity
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