Results 31 to 40 of about 21,626 (312)

Lacunarity of Fractal Superlattices: a Remote Estimation using Wavelets [PDF]

open access: yes, 2005
The lacunarity provides a useful parameter for describing the distribution of gap sizes in discrete self-similar (fractal) superlattices and is used in addition to the similarity dimension to describe fractals.
Jaggard, Dwight L.   +3 more
core   +1 more source

The Continued Fraction Structure in Physical Fractal Theory

open access: yesFractal and Fractional
The objective of this study is to reveal the intrinsic connection between fractal operators in physical fractal spaces and continued fractions. The specific contributions include: (1) reviewing fundamental concepts of continued fractions and physical ...
Ruiheng Jiang, Tianyi Zhou, Yajun Yin
doaj   +1 more source

Fractal-Based Research Approach for Lignocellulose-to-Ethanol Conversion

open access: yesBioResources, 2014
The microstructure of porous lignocellulose has irregularity, which represents self-similarity within the scope of a certain scale, and the conversion process of lignocellulose to bioethanol is complex.
Congcong Chi   +4 more
doaj   +1 more source

Fractal Analysis of Particle Distribution and Scale Effect in a Soil–Rock Mixture

open access: yesFractal and Fractional, 2022
A soil–rock mixture (SRM) is a type of heterogeneous geomaterial, and the particle distribution of SRM can be described by fractal theory. At present, it is difficult to quantify the fractal dimension of a particle size distribution and understand the ...
Xiaodong Fu   +5 more
doaj   +1 more source

Analytic Solution of the Langevin Differential Equations Dominated by a Multibrot Fractal Set

open access: yesFractal and Fractional, 2021
We present an analytic solvability of a class of Langevin differential equations (LDEs) in the asset of geometric function theory. The analytic solutions of the LDEs are presented by utilizing a special kind of fractal function in a complex domain ...
Rabha W. Ibrahim, Dumitru Baleanu
doaj   +1 more source

Counterexamples in theory of fractal dimension for fractal structures [PDF]

open access: yesChaos, Solitons & Fractals, 2016
Fractal dimension constitutes the main tool to test for fractal patterns in Euclidean contexts. For this purpose, it is always used the box dimension, since it is easy to calculate, though the Hausdorff dimension, which is the oldest and also the most accurate fractal dimension, presents the best analytical properties.
M. Fernández-Martínez   +2 more
openaire   +2 more sources

Research progress in design and characterization of porous materials based on fractal theory

open access: yesCailiao gongcheng
The complexity of cavities, randomness of pore distribution, and multi-scale of pore size in porous materials make it difficult to quantitatively characterize pore microstructure.
XUE Xin   +3 more
doaj   +1 more source

Reconstructing images from their most singular fractal manifold [PDF]

open access: yes, 2002
Real-world images are complex objects, difficult to describe but at the same time possessing a high degree of redundancy. A very recent study [1] on the statistical properties of natural images reveals that natural images can be viewed through different ...
Turiel Martínez, Antonio M.   +3 more
core   +1 more source

A commutative noncommutative fractal geometry

open access: yes, 2011
In this thesis examples of spectral triples, which represent fractal sets, are examined and new insights into their noncommutative geometries are obtained.
Samuel, Tony; id_orcid, Samuel, Anthony
core   +1 more source

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