“…An artificial neural network was used for fault classification using the fractal dimension data extracted from the sound of the engine. …”
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“…The results showed relatively wide size distributions, especially for the spherical fraction, and indicated an ongoing sintering, from fractal to spherical particles.…”
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“…The analysis of the geometric product specification was performed by means of height parameters Sx, functional volume parameters Vx, and fractal dimension Df. Surface topography measurements were carried out using an optical profilometer with focus variation technology. …”
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“…The fractal dimension of the air void increases with the increase in load. …”
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“…A small part of missing spatial data can be compensated for by predicted values. Second, the fractal properties of traffic flows can be revealed. …”
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“…Fractal dimension is particularly widely used, and we provide a critical examination of it drawing on research from other scientific fields. …”
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“…In particular, (18)F-FDG standardized uptake value (SUV(mean), SUV(max)) and fractal dimension (FD) of melanoma lesions adversely affected PFS, while FD of the thyroid, as well as SUV(max) and k(3) of the bone marrow, positively affected PFS. …”
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“…RESULTS: There were no significant interactions of age and sex with cortical thickness, fractal dimension, or gyrification index. Rather, we found that both males and females showed age-related decreases in cortical thickness, fractal dimension, and gyrification index. …”
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“…Among the topics discussed are: stochastic differential equations, spectra of the Laplacian and Schrödinger operators, nonlinear partial differential equations which generate dissipative dynamical systems, fractal analysis on self-similar sets and the global structure of analytic functions.…”
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“…The cracks in the coal first start from two symmetrical angles, and finally distribute in a 360 deg circumferential direction, forming a multiangle crack spatial network structure. The fractal dimension of the crack group increases, the number of microcracks and the roughness of the crack group increases, the overall fractal dimension of the specimen decreases, and the roughness between cracks weakens. …”
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“…To determine discriminative feature and EEG channel between the alcoholic and normal EEG signal, different frequency and non-frequency features of EEG signal, including power of EEG signal, permutation entropy (PE), approximate entropy (ApEn), katz fractal dimension (katz FD) and Petrosion fractal dimension (Petrosion FD) were extracted from alcoholic and normal EEG signal. …”
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“…The MIP data show that the pore structure of coal samples is more complex after the action of different fracturing fluids, and acidic fracturing fluids can increase the fractal dimension of the pore by about 7%. The LT-N(2)A data showed that the fractal dimension of micropores and transition pores decreased after the action of different fracturing fluids. …”
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“…The strain energy in the strength loss stage is negatively correlated with the dissipated energy, and the dissipated energy of the four groups of specimens is positively correlated with the content of quartz; ③ the damage rates for the specimens in Groups 1 to 4 quantitatively analyzed using fracture fractal dimension are 56.8, 59.1, 65.8, and 70.7%, respectively. …”
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“…Results show that (1) shear and tension cracks are respectively main damage forms in samples A and B; (2) there is a drop valley of variations of AE count fractal dimension (D(1)) over time before the stress peak, and compared with sample B, the drop valley for sample A are much wider; (3) many fractures between joint planes formed at yielding and postpeak stages, fracture fractal dimensions (D(2)) first increase slightly with loading and then increase significantly at yielding and postpeak stages; especially D(2) of sample A is larger than that of sample B; (4) the accumulative value of D(1) (AD(1)) increases with D(2) monotonously, and an expression of porosity or connectivity of the compressed jointed coal was developed, by which the porosity and connectivity of jointed coal could be calculated. …”
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“…The supply-demand principle is evaluated by examining the supply term and the demand term in outward-directed lattice models of nutrient and water distribution systems and by applying the principle to fractal-like models of mammalian arterial systems. …”
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“…More specifically, it requires the regular fractal nesting of polygons. A first attempt at a general solution was proposed by Fiser 1994 by using non-overlapping circles that contain the polygons. …”
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“…The complex morphology of human embryonic palatal mesenchyme stem cell (HEPM) requires analysis of fractal dimensions to provide an objective quantification of self-similarity, a statistical transformation of cellular shape and border complexity. …”
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“…RESULTS AND CONCLUSION: The fractal dimensions of both the straight line and Koch curve showed consistency with the SIPL coefficients, which indicated the power law behavior of the SIPL method. …”
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“…Using form factor, solidity, convexity, and fractal dimension, microglial activation was quantitatively assessed by two-dimensional, and for the first time, three-dimensional morphology. …”
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“…The dynamic structure of recorded reaction times was examined using fractal statistics and instantaneous cross-correlation. …”
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