Results 11 to 20 of about 128,862 (220)
Classical Liquids in Fractal Dimension [PDF]
Physical Review Letters, 2015 We introduce fractal liquids by generalizing classical liquids of integer dimensions $d = 1, 2, 3$ to a fractal dimension $d_f$. The particles composing the liquid are fractal objects and their configuration space is also fractal, with the same non-integer dimension.
Heinen, Marco +3 more
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Modeling Urban Growth and Form with Spatial Entropy
Complexity, 2020 Entropy is one of the physical bases for the fractal dimension definition, and the generalized fractal dimension was defined by Renyi entropy. Using the fractal dimension, we can describe urban growth and form and characterize spatial complexity.
Yanguang Chen
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Trans-scale relationship analysis between the pore structure and macro parameters of backfill and slurry [PDF]
Royal Society Open Science, 2019 The characteristics of the porous structure of backfill are directly related to the macro parameters of the flowability of the filling slurry and the mechanical features of the backfill, which are fundamental to the study of multiscale mechanics of ...
Jianhua Hu +3 more
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Fractal Dimensions of Macromolecular Structures [PDF]
Molecular Informatics, 2014 AbstractQuantifying the properties of macromolecules is a prerequisite for understanding their roles in biochemical processes. One of the less‐explored geometric features of macromolecules is molecular surface irregularity, or ‘roughness’, which can be measured in terms of fractal dimension (D).
Todoroff, Nickolay +5 more
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Fractal dimension for fractal structures
Topology and its Applications, 2014 The main goal of this paper has a double purpose. On the one hand, we propose a new definition in order to compute the fractal dimension of a subset respect to any fractal structure, which completes the theory of classical box-counting dimension. Indeed, if we select the so called natural fractal structure on each euclidean space, then we will get the ...
Manuel Fernández-Martínez +1 more
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, 2022 Fractal geometry provides a powerful tool for scale-free spatial analysis of cities, but the fractal dimension calculation results always depend on methods and scopes of the study area. This phenomenon has been puzzling many researchers. This paper is devoted to discussing the problem of uncertainty of fractal dimension estimation and the potential ...
Bekmirzayev D.A, Uralova I.A
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Closed Contour Fractal Dimension Estimation by the Fourier Transform [PDF]
, 2011 This work proposes a novel technique for the numerical calculus of the fractal dimension of fractal objects which can be represented as a closed contour.
Beck +31 more
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Predictive modeling of low-temperature performance of SMA-13 cold-patching asphalt mixtures based on fractal theory [PDF]
E3S Web of ConferencesIn order to study the relationship between the low-temperature performance of cold-patching asphalt mixtures and the fractal of gradation, 13 groups of SMA-13 gradations were designed, and then the low-temperature performance test of cold-patching ...
Sun Zhao-Hui, Xie Jie-Ru, Guo Ke
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Seepage–Fractal Model of Embankment Soil and Its Application
Fractal and Fractional, 2022 Over time and across space, the hydraulic conductivity, fractal dimension, and porosity of embankment soil have strong randomness, which makes analyzing seepage fields difficult, affecting embankment risk analysis and early disaster warning.
Xiaoming Zhao +4 more
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Application of Fractal Dimension for Quantifying Noise Texture in Computed Tomography Images [PDF]
, 2018 Purpose Evaluation of noise texture information in CT images is important for assessing image quality. Noise texture is often quantified by the noise power spectrum (NPS), which requires numerous image realizations to estimate.
Crotty, Dominic J. +4 more
core +2 more sources