“…For example, one can bin finer time steps into time steps of interest to simulate the fractal diffusion or simply introduce a correction factor for the simulations. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Next, the mathematical diagnosis was determined with the law based on the spatial occupation of the attractor, and the fractal dimension was calculated. Finally, statistical validation of the mathematical method in 18 hours was performed against the Gold Standard. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Flocculation–sedimentation batch tests were performed to ascertain the aggregate size distribution, the hindered settling rate, and the structure of flocs expressed through their fractal dimension and density. The aggregates’ properties were characterized by the Focused Beam Reflectance Measurement (FBRM) and Particle Vision Microscope (PVM) techniques. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…The atomic level assembly of silver dendrite has never been disclosed despite the numerous studies published on fractal dendrite structures. We report for the first time an HRTEM investigation of the formation of atomic embryos (< 5 nm) and the self-assembly of atoms on an atomic plane of the tip of a dendrite arm. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…The parameter-relative area, determined by area scale fractal analysis, can effectively characterize the surface roughness, predict the texture component of bond strength, and establish a connection between which and the bonding performance of the geopolymer coating at a high level of confidence. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…The obtained results were compared with the behaviour of the polycrystalline silicon reference sample. The fractal analysis of time-resolved curves for indenter penetration depth demonstrated regularities of damage accumulation in the coatings at the early stage of wear. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Power spectral density analysis exhibited that E_100cy possesses smallest surface features contributing to the PEC response with a lower cut off length scale of 17.23, upper cut off length scale of 150.45, maximum fractal dimension of 2.62 and maximum average rms roughness of 17.52 nm, offering the maximum surface area for charge transfer reactions at the electrode/electrolyte interface. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…The relative breakage rate of the same particle size group has a good linear relationship with a fractal dimension. Moreover, for the same particle size, the relationship between plastic work and relative breakage rate can be fitted by a power function, which is not significantly affected by relative density or effective confining pressure. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…These jets are mostly interfacial, spreading out on the substrate surface, and exhibit fractal branching out into smaller streams to eventually disrupt, forming secondary droplets. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Muscle fiber conduction velocity (CV) and fractal dimension (FD) of both muscles were calculated to reflect peripheral and central fatigue. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…[Image: see text] In this paper, a terahertz (THz) metamaterial absorber (MTMA), incorporating surface Pythagorean tree fractal resonators, was designed and experimentally fabricated on the flexible substrate of polyethylene terephthalate. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…We also estimated the non-linear measure resting-state functional MRI BOLD signal’s complexity using Higuchi fractal dimension (FD) and correlated DTI/fMRI findings with patients’ clinical characteristics. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…We fabricated quantum confined fractal arrays of Si NWs with room temperature emission at 700 nm obtained by thin-film, metal-assisted, chemical etching with high production output at low cost. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…We compared the complexity of EEG signals during mind wandering and breath focus states using three different algorithms: Higuchi's fractal dimension (HFD), Lempel-Ziv complexity (LZC), and Sample entropy (SampEn). …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…In this study, the EEG data were analyzed by microstate analysis, and the support vector machine (SVM) classifier was used for automatic epileptic EEG classification based on features of the EEG microstate series, including microstate parameters (duration, occurrence, and coverage), linear features (median, second quartile, mean, kurtosis, and skewness) and non-linear features (Petrosian fractal dimension, approximate entropy, sample entropy, fuzzy entropy, and Lempel–Ziv complexity). …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…The influence mechanism of different groove widths, friction impacts and climbing heights on the friction and wear properties of the micromechanical groove texture on the surface of 0Cr17Ni7Al stainless steel is studied at the nano-fractal scale. The effects of different width grooves on the surface texture and tribological properties of the micromachine are studied.…”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Power of the sway changed, but the changes were not statistically significant. The fractal dimension confidence circle area decreased significantly in eyes closed trials (p < 0.05). …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Moreover, the surface roughness, fractal dimension analysis, and texture analysis were calculated. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Both researchers and professionals will profit from the authors’ broad experience in Distributed Manufacturing and Fractal Enterprise implementations, where they initiated and completed a number of successful research projects: within the global Intelligent Manufacturing Systems (IMS) scheme, within the European Research Area frameworks as well as national contexts, and both in industry and at leading research institutions. …”
Enlace del recurso
Enlace del recurso

“…The first part covers fractals and focuses on how self-similar structures sort themselves out through competition. …”
Enlace del recurso
Enlace del recurso