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Fractal Modeling and Fractal Dimension Description of Urban Morphology
The conventional mathematical methods are based on characteristic length, while urban form has no characteristic length in many aspects. Urban area is a scale-dependence measure, which indicates the scale-free distribution of urban patterns.
Yanguang Chen
semanticscholar +1 more source
Grain textural analysis across a range of glacial facies [PDF]
A technique proposed by Hooke and Iverson (1995) to identify deformed subglacial sediments is reviewed and tested, based on two main objectives. First, an investigation of whether the fractal dimension can distinguish between non-deformed and deformed ...
Hart, JK, Khatwa, A, Payne, AJ
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From rock microstructure to macromechanical properties based on fractal dimensions
Basic rock mechanical parameters, that is, the uniaxial compressive strength σ c and elastic modulus E , have close relationships with the fractal dimension and inhomogeneity.
Dongmei Huang +4 more
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Numerical Simulation of Rockfill Materials Based on Fractal Theory
With the use of the particle flow code in two dimensions, a fractal model is established with the number of particles of different particle fractions used as the statistics to study the fractal characteristics of particle size distribution.
Hongxing Han +4 more
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The scattering from generalized Cantor fractals
We consider a fractal with a variable fractal dimension, which is a generalization of the well known triadic Cantor set. In contrast with the usual Cantor set, the fractal dimension is controlled using a scaling factor, and can vary from zero to one in ...
A. I. Kuklin +28 more
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Study of the development of three-dimensional sets of fluid particles and iso-concentration fields using kinematic simulation [PDF]
We use kinematic simulation (KS) to study the development of a material line immersed in a three-dimensional turbulent flow. We generalize this study to a material surface, cube and sphere.
Elmaihy, A., Nicolleau, F.C.G.A.
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Fractal Dimension of Particle Showers Measured in a Highly Granular Calorimeter
We explore the fractal nature of particle showers using Monte-Carlo simulation. We define the fractal dimension of showers measured in a high granularity calorimeter designed for a future lepton collider.
Boudry, Vincent +4 more
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Electroencephalographic Fractal Dimension in Healthy Ageing and Alzheimer’s Disease
Brain activity is complex; a reflection of its structural and functional organization. Among other measures of complexity, the fractal dimension is emerging as being sensitive to neuronal damage secondary to neurological and psychiatric diseases.
F. Smits +5 more
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【Objective and objective】 Soil aggregate is a function unit commonly used to describe the impact of soil structure on soil fertility and quality. It is temporally dynamic, modulated by a myriad of biotic and abiotic factors such as wetting-drying cycles ...
HAN Xiao +3 more
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Fractal dimension of interfaces in Edwards-Anderson spin glasses for up to six space dimensions
The fractal dimension of domain walls produced by changing the boundary conditions from periodic to anti-periodic in one spatial direction is studied using both the strong-disorder renormalization group and the greedy algorithm for the Edwards-Anderson ...
Katzgraber, Helmut G. +2 more
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