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Physical Review Letters, 1988
In the past few years a great deal of activity has been devoted to the study of fractal structures [3] in relation to physical phenomena [4,5]. The prototype fractal growth model is based on a combination of the Laplace equation and a stochastic field. The first model of this class to be formulated was Diffusion Limited Aggregation (DLA) [6].
PIETRONERO, Luciano +2 more
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In the past few years a great deal of activity has been devoted to the study of fractal structures [3] in relation to physical phenomena [4,5]. The prototype fractal growth model is based on a combination of the Laplace equation and a stochastic field. The first model of this class to be formulated was Diffusion Limited Aggregation (DLA) [6].
PIETRONERO, Luciano +2 more
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To the Origins of Fractal Theory
Voprosy Filosofii, 2022The article attempts to give internal contours of historical genesis of the general theory of fractality. Through the analysis of current scientific positions the necessity of theoretical comprehension of fractal as a philosophical category is shown and the absence of its unified theory is stated.
Victor N. Knyazev, Maxim Yu. Morozov
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, 2020
The quality of “non-landslide” negative samples may result in unreasonable prediction results for machine learning (ML) models. The aim of this study is to improve the performance of ML models by perfecting the quality of “non-landslide” samples in ...
Q. Hu, Yi Zhou, Shixing Wang, Futao Wang
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The quality of “non-landslide” negative samples may result in unreasonable prediction results for machine learning (ML) models. The aim of this study is to improve the performance of ML models by perfecting the quality of “non-landslide” samples in ...
Q. Hu, Yi Zhou, Shixing Wang, Futao Wang
semanticscholar +1 more source
Physica Scripta, 1989
Abstract The problem we consider is to understand why nature gives rise to fractal structures. The first step is to formulate models of fractal growth based on physical mechanisms like the Diffusion Limited Aggregation and the more general Dielectric Breakdown Model.
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Abstract The problem we consider is to understand why nature gives rise to fractal structures. The first step is to formulate models of fractal growth based on physical mechanisms like the Diffusion Limited Aggregation and the more general Dielectric Breakdown Model.
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Review on the application of fractal theory in mechanical engineering
Engineering Research ExpressFractal theory, rooted in the study of complex and self-similar patterns, has found profound applications in mechanical engineering. This review examines the integration of fractal geometry into various domains, including fatigue and fracture mechanics ...
Ondrej Krejcar, H. Namazi
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Mathematical Structures in Computer Science, 2004
We show that a measurement $\mu$ on a continuous dcpo $D$ extends to a measurement $\skew3\bar{\mu}$ on the convex powerdomain ${\mathbf C} D$ iff it is a Lebesgue measurement. In particular, $\ker\mu$ must be metrisable in its relative Scott topology.
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We show that a measurement $\mu$ on a continuous dcpo $D$ extends to a measurement $\skew3\bar{\mu}$ on the convex powerdomain ${\mathbf C} D$ iff it is a Lebesgue measurement. In particular, $\ker\mu$ must be metrisable in its relative Scott topology.
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Proceedings of the 26th annual international ACM SIGIR conference on Research and development in informaion retrieval, 2003
In this paper, we introduce the fractal summarization model based on the fractal theory. In fractal summarization, the important information is captured from the source text by exploring the hierarchical structure and salient features of the document.
Christopher C. Yang, Fu Lee Wang
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In this paper, we introduce the fractal summarization model based on the fractal theory. In fractal summarization, the important information is captured from the source text by exploring the hierarchical structure and salient features of the document.
Christopher C. Yang, Fu Lee Wang
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Preliminary Evidence for a Theory of the Fractal City
Environment and Planning A: Economy and Space, 1996In this paper, we argue that the geometry of urban residential development is fractal. Both the degree to which space is filled and the rate at which it is filled follow scaling laws which imply invariance of function, and self-similarity of urban form across scale.
M Batty, Y Xie
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Evaluation of liquid CO2 phase change fracturing effect on coal using fractal theory
, 2020As an alternative and safe method for coal reservoir stimulation, liquid CO2 phase change fracturing (LCPCF) technology has large potential for enhancing coalbed methane drainage. In order to gain clearer insights into the changing laws of pore structure
Binwei Xia +5 more
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Communications in Nonlinear Science and Numerical Simulation
This paper provides a comprehensive study of fractal calculus and its application to differential equations within fractal spaces. It begins with a review of fractal calculus, covering fundamental definitions and measures related to fractal sets.
Alireza Khalili Golmankhaneh +4 more
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This paper provides a comprehensive study of fractal calculus and its application to differential equations within fractal spaces. It begins with a review of fractal calculus, covering fundamental definitions and measures related to fractal sets.
Alireza Khalili Golmankhaneh +4 more
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