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Assembling molecular Sierpiński triangle fractals
Nature Chemistry, 2015Yongfeng Wang, Jingxin Dai, Xiong Zhou
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, 2020
Important developments in the progress of the theory of rock mechanics during recent years are based on fractals and damage mechanics. The concept of fractals has proved to be a useful way of describing the statistics of naturally occurring geometrics ...
Heping Xie
semanticscholar +1 more source
Important developments in the progress of the theory of rock mechanics during recent years are based on fractals and damage mechanics. The concept of fractals has proved to be a useful way of describing the statistics of naturally occurring geometrics ...
Heping Xie
semanticscholar +1 more source
Fractal Dimension of Color Fractal Images [PDF]
IEEE Transactions on Image Processing, 2011 Fractal dimension is a very useful metric for the analysis of the images with self-similar content, such as textures. For its computation there exist several approaches, the probabilistic algorithm being accepted as the most elegant approach. However, all the existing methods are defined for 1-D signals or binary images, with extension to grayscale ...
Mihai Ivanovici, Noël Richard
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Fractals and Reactions on Fractals [PDF]
, 1989 Many of the structures which surround us in nature (mountains, rivers, coastlines, clouds, the vascular system and other biological structures, for example) and systems of scientific interest (aggregates, macromolecules, rough surfaces, “strange” attractors, etc.) cannot be adequately described in terms of the concepts of Euclidean geometry.
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, 2019
Fractals have recently become an important topic of discussion in such varied branches of science as mathematics, computer science, and physics. Accordingly, there is an interest in the mathematical underpinnings for a (yet to be realized) theory of ...
G. A. Edgar
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Fractals have recently become an important topic of discussion in such varied branches of science as mathematics, computer science, and physics. Accordingly, there is an interest in the mathematical underpinnings for a (yet to be realized) theory of ...
G. A. Edgar
semanticscholar +1 more source
2008
Fractals have become increasingly useful tools for the statistical modelling of financial prices. While early research assumed invariance of the return density with the time horizon, new processes have recently been developed to capture nonlinear changes in return dynamics across frequencies.
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Fractals have become increasingly useful tools for the statistical modelling of financial prices. While early research assumed invariance of the return density with the time horizon, new processes have recently been developed to capture nonlinear changes in return dynamics across frequencies.
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Fractals and Multi-fractals in Turbulence
1997Turbulent flows refer to situations in which the flow properties at any point vary in a statistically random manner. Fourier analysis shows that wave fluctuations in a range of frequencies and wave numbers are present, the width of the range changing with certain flow parameters like the Reynolds number. (Attempts at characterizing turbulence structure
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