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Tribology Letters, ISSN 1023-8883, 4/2014, Volume 54, Issue 1, pp. 99 - 106
Journal Article
Journal of Atmospheric and Solar-Terrestrial Physics, ISSN 1364-6826, 05/2015, Volume 127, pp. 66 - 72
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 09/2017, Volume 27, Issue 10, p. 1750164
Definitions of Hausdorff–Lebesgue measure and dimension are introduced. Combination of Hausdorff and Lebesgue ideas are used. Methods for upper and lower... 
Lorenz system | fractal | attractors | Hausdorff-Lebesgue | Hausdorff | dimension | Lyapunov | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MULTIDISCIPLINARY SCIENCES | Mathematics - Dynamical Systems
Journal Article
Information Sciences, ISSN 0020-0255, 2008, Volume 178, Issue 12, pp. 2722 - 2733
This article discusses methods to identify plants by analysing leaf complexity based on estimating their fractal dimension. Leaves were analyzed according to... 
biometrics | Image processing | Fractal dimension | Vegetal taxonomy | image processing | TEXTURE | IMAGES | fractal dimension | SEGMENTATION | COMPUTER SCIENCE, INFORMATION SYSTEMS | vegetal taxonomy | BONE | Analysis
Journal Article
Chaos: An Interdisciplinary Journal of Nonlinear Science, ISSN 1054-1500, 05/2019, Volume 29, Issue 5, p. 053110
In this article, we propose and investigate the possibility of signature identification based on its fractal Minkowski dimension. We consider a signature as a... 
MATHEMATICS, APPLIED | FRACTAL DIMENSION | MOTION | PHYSICS, MATHEMATICAL | ALGORITHM | VERIFICATION
Journal Article
Journal of Colloid And Interface Science, ISSN 0021-9797, 09/2017, Volume 502, pp. 193 - 200
[Display omitted] Fullerene (C60) aggregation mechanisms in aqueous media require considerable attention in the near future due to the heavy use and... 
Characterization | Fractal dimension | Fullerene aggregates | NANOPARTICLES | BEHAVIOR | CHEMISTRY, PHYSICAL | C-60 | NATURAL ORGANIC-MATTER | HUMIC-ACID | WATER | Nanotechnology | Hydrology | Earth Sciences | Sciences of the Universe
Journal Article
ACM Transactions on Computation Theory (TOCT), ISSN 1942-3454, 07/2015, Volume 7, Issue 3, pp. 1 - 26
We define the lower and upper mutual dimensions mdim ( x : y ) and Mdim ( x : y ) between any two points x and y in Euclidean space. Intuitively, these are the... 
data processing inequality | Computable analysis | mutual information | effective fractal dimensions | Kolmogorov complexity | Data processing inequality | Effective fractal dimensions | Mutual information
Journal Article
Pattern Recognition, ISSN 0031-3203, 2009, Volume 42, Issue 11, pp. 2460 - 2469
Fractal dimension (FD) is a useful feature for texture segmentation, shape classification, and graphic analysis in many fields. The box-counting approach is... 
Texture image | Remote sensing image | Fractal dimension | Box-counting dimension | Fractional Brownian motion | SEGMENTATION | CLASSIFICATION | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | GEOMETRY | ENGINEERING, ELECTRICAL & ELECTRONIC | Analysis | Remote sensing | Methods
Journal Article
Chaos, ISSN 1054-1500, 05/2019, Volume 29, Issue 5
In this article, we propose and investigate the possibility of signature identification based on its fractal Minkowski dimension. We consider a signature as a... 
Machine learning | Fractals | Signatures
Journal Article
Theoretical Computer Science, ISSN 0304-3975, 06/2018, Volume 731, pp. 68 - 87
If S and T are infinite sequences over a finite alphabet, then the lower and upper mutual dimensionsmdim(S:T) and Mdim(S:T) are the upper and lower densities... 
Coupled randomness | Effective fractal dimensions | Mutual information | Kolmogorov complexity | Algorithmic information theory | DEFINITION | COMPUTER SCIENCE, THEORY & METHODS | Computer science
Journal Article
Thrombosis and Haemostasis, ISSN 0340-6245, 2015, Volume 113, Issue 6, pp. 1251 - 1259
Journal Article
Journal of Colloid And Interface Science, ISSN 0021-9797, 02/2019, Volume 536, pp. 493 - 498
[Display omitted] We present a box counting fractal dimension (FD) analysis of the dendritic patterns obtained under conditions far from equilibrium via rapid... 
Fractal dimension analysis | Reactive nanofluids | Coffee ring effect | Evaporation induced self-assembly | Evaporative drying | Bénard-Marangoni instabilities | Zinc oxide | DIFFUSION-LIMITED AGGREGATION | CHEMISTRY, PHYSICAL | Benard-Marangoni instabilities | Analysis
Journal Article
Advances in Mathematics, ISSN 0001-8708, 04/2015, Volume 274, pp. 881 - 927
We introduce a new concept of dimension for metric spaces, the so-called topological Hausdorff dimension. It is defined by a very natural combination of the... 
Brownian motion | Typical | Hausdorff dimension | Mandelbrot's fractal percolation | Level set | Generic continuous function | Critical probability | MATHEMATICS | LEVEL SETS | TREES | INTERSECTION-EQUIVALENCE | PERCOLATION
Journal Article
Fuel, ISSN 0016-2361, 12/2016, Volume 185, pp. 709 - 717
•Physicochemical characteristics of SIDI particles were studied at different AFRs.•Fractal dimensions decreased with increases in the AFR after an initial... 
Nanostructure | Exhaust particle | Fractal dimension | Primary particle size | Morphology | SIDI engine | COMBUSTION | SOOT PARTICLES | ENERGY & FUELS | REACTIVITY | DIESEL-ENGINE | ENGINEERING, CHEMICAL | NANOPARTICLES | CARBON-BLACK | IMPACT | ELECTRON-MICROSCOPY TEM | GAS RECIRCULATION EGR | PARTICULATE
Journal Article
AIP Conference Proceedings, ISSN 0094-243X, 02/2019, Volume 2075, Issue 1
Soot particles are dominant aerosol particles responsible for absorption and scattering of solar radiation. Soot particles created during combustion processes... 
fractal dimension | image | morphology | soot aggregates | Aerosol | Scanning electron microscopy | Aggregates | Soot | Fractal analysis | Morphology | Clusters | Chains | Fractals | Solar radiation | Image acquisition | Spherules
Journal Article
Physics Letters A, ISSN 0375-9601, 03/2014, Volume 378, Issue 16-17, pp. 1091 - 1094
•The proposed measure is more practical than the classical information dimension.•The difference of information for box in the box-covering algorithm is... 
Fractal | Information dimension | Complex networks | Self-similarity | PHYSICS, MULTIDISCIPLINARY | SMALL-WORLD | FRACTAL DIMENSION | Algorithms | Networks | Mathematical analysis | Fractal analysis | Solid state physics | Fractals
Journal Article
Topology and its Applications, ISSN 0166-8641, 02/2014, Volume 163, Issue 1, pp. 93 - 111
The main goal of this paper is to provide a generalized definition of fractal dimension for any space equipped with a fractal structure. This novel theory... 
Fractal structure | Fractal | Generalized-fractal space | Fractal dimension | Box-counting dimension | Self-similar set | MATHEMATICS | MATHEMATICS, APPLIED | SPACES
Journal Article