Results 141 to 150 of about 130,460 (340)
Algorithmic interpretations of fractal dimension
We study algorithmic problems on subsets of Euclidean space of low fractal dimension. These spaces are the subject of intensive study in various branches of mathematics, including geometry, topology, and measure theory. There are several well-studied notions of fractal dimension for sets and measures in Euclidean space.
Sidiropoulos, Anastasios, Sridhar, Vijay
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Fine modeling of a three‐dimensional fracture structure under dynamic loading of coal is carried out. The streamline distribution law of pressure and velocity field in the loading process of the coal specimen is analyzed, the absolute permeability of the coal specimen is calculated, and the feasibility of the pore network model algorithm and finite ...
Huazhe Jiao+6 more
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Fractal structure in two-dimensional quantum Regge calculus [PDF]
Jun Nishimura, Masaki Oshikawa
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Based on acoustic emission response characteristics, it can be more accurate to identify the damage evolution process of coal under the combined dynamic and static loads, reveal the moment corresponding to coal damage, and identify the characteristics of coal failure. The research results are conducive to the further use of acoustic emission monitoring
Wei Zhang+10 more
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In this article, the finite element method‐smoothed particle hydrodynamics adaptive coupling algorithm is applied to numerically simulate and analyze the dynamic response of the slit tube and the crack propagation under high in situ stress. The dynamic response of the slit tube mainly exhibits radial response in the vertical direction of the slit and ...
Zhe Sui+3 more
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The fractal theory can effectively describe the complexity and multi-scale of concrete under impact load and provide a scientific basis for evaluating concrete’s impact resistance.
Xianggang Zhang+4 more
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Fractal dimension of gauge-fixing defects [PDF]
M. I. Polikarpov, Ken Yee
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Particle rounding effects comparison of different methods: (a), (b), and (c) are the rounding results using the B‐spline curve method with different R; (d), (e), and (f) are the results of vertex rounding substitution method with different rounding radii.
Jiabin Dong+6 more
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Fractal wavelet dimensions and localization
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The present manuscript explored the effects of joint configurations on the cyclic shear behavior of intermittent joints for the first time. The cyclic shear response, shear strength degradation, dilation characteristics evolution, frictional property, fractal dimension, and dissipative energy were further analyzed during shear cycles, which is crucial ...
Bin Wang+3 more
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