“…RESULTS: The findings confirm that force estimation through EEG signals is feasible, especially using fractal dimension feature. The R-squared values for Fractal dimension, Lyapunov exponent, and entropy and correlation dimension features for linear trend line were 0.93, 0.7, 0.86, and 0.41, respectively. …”
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“…On one hand, we propose a fractal approach to determine fiber type organization, using the fractal correlation method in software Fractalyse. …”
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“…However, two-jet subsamples have anisotropic fluctuations, corresponding to a self-affine fractal. These features are, at least qualitatively, reproduced by the Monte Carlo models JETSET and HERWIG. (5 refs).…”
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“…The use of Chaos Game Representation (CGR) or its generalization, Universal Sequence Maps (USM), to describe the distribution of biological sequences has been found objectionable because of the fractal structure of that coordinate system. Consequently, the investigation of distribution of symbolic motifs at multiple scales is hampered by an inexact association between distance and sequence dissimilarity. …”
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“…The relationship between fractal parameters and tensile strength of reinforcing bars are discussed. …”
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“…The value we find for H of 0.57 shows that the gaze dynamics during free viewing of fractal images are consistent with a random walk process with persistent movements. …”
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“…Through finite size scaling, we find that the fractal dimension is 1.31 ± 0.02 which is significantly higher than the fractal dimension of the topological watershed. …”
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“…SEM technology and pore fractal theory were used to predict the soil salinity curve and unsaturated hydraulic conductivity of the improved saline soil.…”
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“…The value of the alpha coefficient by DFA showed to be less than 0.5, characteristic of anti-persistent long-range memory, in which large events alternate with small events, and vice-versa. The fractal dimension of the phase space set was a fractal number, between 1 and 2, another indicator that the growth factor of the disease is not random. …”
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“…In this paper, we demonstrate the relationship between the mean roughness values and the fractal dimension of rough and self-affine PTFE surfaces. …”
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“…The separated impacts of the considered effects are numerically investigated for more sophisticated resonance structures—with different types of slots, with defected grounds and in fractal resonators for the first three fractal iterations. …”
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“…How does this “black swan” event affect the fractal behaviors of the stock market? How to improve the forecasting accuracy after that? …”
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“…This modified driven IFS approach is used to generate compact fractal portraits of the financial markets in form of percentage CGR (PC) plots and subtraction percentage (SP) plots. …”
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“…We numerically characterize the growth dynamics of aggregates and find that their radius of gyration, R(g), grows approximately as R(g) ∼ t(1.02) for classical DLCA but slows to an approximate growth rate of R(g) ∼ t(0.71) when diffusivity is size-dependent. We also analyze the fractal structure of the resulting aggregates and find that their fractal dimension, d, decreases from d ≈ 1.8 for classical DLCA to d ≈ 1.7 when size-dependent rotational diffusion is included. …”
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“…The book analyzes various structures of many-particle systems, such as crystal structures, lamellar structures, fractal aggregates and fractal structures, while comparing different methods of description for certain systems and phenomena.Developed from a lecture course on statistical physics and kinetic theory of various atomic systems, the text provides a maximum number of concepts in the simplest way, based on simple problems and using various methods…”
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“…CONCLUSIONS: We propose the use of the fractal dimension as a new morphological descriptor of the nephron integrity.…”
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“…This results in an exponential step-length distribution in homogeneous environments and in generalized stretched exponential step-length distributions in more complex fractal environments. We find support for these predictions in the movement patterns of the Australian bull ant Myrmecia midas searching on natural surfaces and on artificial uniform and quasi-fractal surfaces. …”
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“…The analyzed AFM images demonstrate a fractal nature of the surface, which is not considered in classical surface statistical parameters. …”
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“…In terms of the stride time’s fractal scaling, we observed that the fractal stimulus induced higher values compared to random and invariant stimuli. …”
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“…Fractal analysis can be considered as an alternate method of analyzing the kinetics of binding and dissociation during hybridization in these types of analyte–receptor reactions occurring on biosensor surfaces.…”
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