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FRACTAL DERIVATIVE MODEL FOR TSUNAMI TRAVELING

Fractals, 2019
Tsunami traveling in an unsmooth boundary is studied, where the boundary is considered as a fractal surface, and mass conservation and moment conservation in a fractal space are established, and a fractal derivative-based tsunami model is established ...
Yan Wang, Qigen Deng
semanticscholar   +1 more source

Fractals in microscopy

Journal of Microscopy, 2010
Fractal geometry, developed by B. Mandelbrot, has provided new key concepts necessary to the understanding and quantification of some aspects of pattern and shape randomness, irregularity, complexity and self-similarity. In the field of microscopy, fractals have profound implications in relation to the effects of magnification and scaling on morphology
openaire   +3 more sources

Fractals and foods

Critical Reviews in Food Science and Nutrition, 1993
Fractal geometry and related concepts have had only a very minor impact on food research. The very few reported food applications deal mainly with the characterization of the contours of agglomerated instant coffee particles, the surface morphology of treated starch particles, the microstructure of casein gels viewed as a product limited diffusion ...
Micha Peleg, Gustavo V. Barbosa
openaire   +3 more sources

Fractals, Multi-Fractals, Psuedo-Fractals and Non-Fractals in Energy Spectral Techniques

EAGE Workshop on Non-Seismic Methods, 2008
The demonstration of fractal processes within the earth has been an important step in understanding many processes and the nature of resultant geomorphology. However the complex nature of interplay between many different processes does not lead to simple measures of fractal geometry in practice.
openaire   +2 more sources

A REMARK ON WANG’S FRACTAL VARIATIONAL PRINCIPLE

, 2019
Wang et al. established successfully a variational principle in a fractal space by the semi-inverse method.
Kang-le Wang, Chun-Hui He
semanticscholar   +1 more source

Fractal Electrodes, Fractal Membranes, and Fractal Catalysts

1991
How do irregular surfaces operate? This chapter is devoted to this general question, which has been revived by the concept of fractal geometry.
openaire   +2 more sources

Fractal Rivers in Fractal Landscapes

Physica Scripta, 1991
In the spirit of the "fractal forgeries" of Mandelbrot and Voss, the centered tile midpoint displacement algorithm of Mandelbrot is modified to introduce fractal rivers into fractal landscapes. The rivers and river networks co-evolve with the landscape to produce valleys and gulleys.
openaire   +2 more sources

Fractals and fractal approximation in structural mechanics

Meccanica, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Fractal walk and walk on fractals

Technical Physics, 2004
The one-dimensional walk of a particle executing instantaneous jumps between the randomly distributed “atoms” at which it resides for a random time is considered. The random distances between the neighboring atoms and the time intervals between jumps are mutually independent. The asymptotic (t → ∞) behavior of this process is studied in connection with
openaire   +2 more sources

Fractals in Neuroimaging

2016
Several natural phenomena can be described by studying their statistical scaling patterns, hence leading to simple geometrical interpretation. In this regard, fractal geometry is a powerful tool to describe the irregular or fragmented shape of natural features, using spatial or time-domain statistical scaling laws (power-law behavior) to characterize ...
Antonio Di Ieva   +2 more
openaire   +3 more sources

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