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Fractals is work number 6 of 12 in a collection titled The Improbabilities of Theoretical Math and Physics. In the way that theories are complex, I challenge myself to meet the theoretical complexity with my technique and creativity and by examining the ...
Oyler, Lindi
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This unit discusses fractals as a framework for understanding the way cartographic objects change with generalization or changes in scale. It presents a brief history and introduces introductory concepts related to fractals, including scale-dependence ...
Klinkenberg, Brian, Unit 47, CC in GIS
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Manipulating drying‐induced carbon nanotube assemblies through substrate surface engineering
During the observation of CNT droplet drying on modified substrates with varying surface properties, high‐friction surfaces induced long‐range orientation of CNTs through fixed contact lines and material flow during evaporation. This provides a programmable substrate strategy for assembling ordered nanostructures via controlled droplet drying ...
Ke Shui +10 more
wiley +1 more source
Hydraulic fracturing in tight sandstone and fracture propagation characteristics using backscattered electron‐scanning electron microscope (BSE‐SEM) images. Abstract This study focuses on hydraulic fracturing experiments conducted under triaxial conditions on tight sandstone specimens from Shivpuri district, Madhya Pradesh, India.
Pankaj Rawat, Narendra Kumar Samadhiya
wiley +1 more source
Applications of Fractal Signals [PDF]
"Fractal" term - which in Latin languagedefines something fragmented anomalous - wasintroduced in mathematics by B. B. Mandelbrot in1975. He avoided to define it rigorously and used it todesignate some "rugged" and "self-similar"geometrical forms ...
Ion TUTĂNESCU, Dumitru ŞCHEIANU
doaj
Benoit Mandelbrot (1924 - 2011 ) : A Greek among Romans
Posthumous tributes to Benoit Mandelbrot (1924-2010) have highlighted his remarkable influence on the natural sciences, from geometry to meteorology, to theories with non-Euclidean spaces and geospatial models approach.
Estrada, Fernando
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Fractals: Theory and Applications in Engineering
Owing to the rapid emergence and growth of techniques in the engineering application of fractals, it has become necessary to gather the most recent advances on a regular basis.
Lévy Véhel, Jacques +3 more
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This study investigates the blast‐induced rock damage patterns under different cut‐hole layouts and ground stress conditions through numerical simulations and field tests. The findings in this study provide valuable insights for similar underground engineering applications.
Junjie Zhao +5 more
wiley +1 more source
On Complex Dimensions and Heat Content of Self-Similar Fractals
Complex fractal dimensions, defined as poles of appropriate fractal zeta functions, describe the geometric oscillations in fractal sets. In this work, we show that the same possible complex dimensions in the geometric setting also govern the asymptotics ...
William E. Hoffer, Michel L. Lapidus
doaj +1 more source
Statistical properties of ecological and geologic fractals
To use fractal models for ecological and geologic data, the statistical properties of fractals need to be clarified. No sampling or estimation theory for fractals currently exists. Several concrete steps in this direction are taken here.
and Bai-Lian Li, Craig Loehlea
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