Stage division of urban growth based on logistic model of fractal dimension curves
The time series of fractal dimension values of urban form always take on sigmoid curves. The basic model of these curves is logistic function. From the logistic model of fractal dimension curves, we can derive the speed formula and acceleration formula ...
Yanguang Chen
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Fractal dimension for fractal structures
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 ...
Fernández-Martínez, M. +1 more
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Predictive modeling of low-temperature performance of SMA-13 cold-patching asphalt mixtures based on fractal theory [PDF]
In 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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Using fractal characteristics to analyze the development of whole-rolled wheel destruction [PDF]
Purpose: Determination of mechanical characteristics of wheel steel by analyzing the development of destruction of solid-rolled wheels. Methods: Determination of the crack resistance of all-rolled wheels by testing samples from wheel steel for off-center
Kononov Dmitry +3 more
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THE FRACTAL DIMENSION OF AN OIL SPRAY [PDF]
We study the fractal dimension of the contour of the liquid-gas interface in a spray. Our images include both the linking region and the break-up region, and are obtained with a high-resolution shadowgraph technique. This means that the images can then be subjected to an intensity filtering, equivalent to a threshold analysis, that enables the ...
Castrejón García, R +3 more
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Ultimate state and probability of particle breakage for rockfill materials based on fractal theory
In order to study the particle breakage rules of rockfill with fractal gradation, a large-scale triaxial test equipment for coarse soil is used to carry out particle breakage experiments under different confining pressures for scaled rockfill materials ...
CHEN Zi-yu 1, LI Guo-ying 1, WEI Kuang-min 1, WU Li-qiang 2, ZHU Yu-meng 1
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Fractal Dimensions of Macromolecular Structures [PDF]
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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Signal Pattern Recognition Based on Fractal Features and Machine Learning
As a typical pattern recognition method, communication signal modulation involves many complicated factors. Fractal theory can be used for signal modulation feature extraction and recognition because of its good ability to express complex information. In
Chang-Ting Shi
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Research on a Fractal Dimension Calculation Method for a Nano-Polymer Microspheres Dispersed System
Polymer microspheres (PMs) are a kind of self-similar volume expansion particle, and their fractal dimension varies with hydration swelling. However, there is no unique fractal dimension calculation method for their characteristics.
Wenyue Zhao +6 more
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Evaluation of long term storage of apples by means of fractal analysis
Realization of long-term apple storage requires the most detailed information about the flesh structure and texture, whose quality is contributing by responsible way to the whole quality of the evaluated fruits.
Ľ. Kubík +5 more
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