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Fractal Analysis of Pi Normality [PDF]
Experimental Mathematics, 2017 \begin{abstract} $π$, the ratio between a circumference and is radius, is an irrational transcendental number. Fractal analysis is used here to show that $π$\textquoteright{s} digit sequence corresponds to a uniformly distributed random succession of independent decimal digits, and that these properties get clearer as the number of digits in the series
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Applications of fractal analysis to physiology [PDF]
Journal of Applied Physiology, 1991 This review describes approaches to the analysis of fractal properties of physiological observations. Fractals are useful to describe the natural irregularity of physiological systems because their irregularity is not truly random and can be demonstrated to have spatial or temporal correlation.
R W, Glenny +3 more
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Fractal Derivatives, Fractional Derivatives and q-Deformed Calculus
Entropy, 2023 This work presents an analysis of fractional derivatives and fractal derivatives, discussing their differences and similarities. The fractal derivative is closely connected to Haussdorff’s concepts of fractional dimension geometry.
Airton Deppman +2 more
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Formation of fractal structure in many-body systems with attractive power-law potentials [PDF]
, 2005 We study the formation of fractal structure in one-dimensional many-body systems with attractive power-law potentials. Numerical analysis shows that the range of the index of the power for which fractal structure emerges is limited.
A. Fersht +8 more
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On the Lebesgue measure of one generalised set of subsums of geometric series
Математичні СтудіїIn the present paper, we study a set that can be treated as a generalised set of subsums for a geometric series. This object was discovered independently in various mathematical aspects.
O. P. Makarchuk, D. M. Karvatskyi
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Fractal Analysis on Surface Topography of Thin Films: A Review
Fractal and Fractional, 2022 The topographies of various surfaces have been studied in many fields due to the significant influence that surfaces have on the practical performance of a given sample.
Wenmeng Zhou +5 more
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, 2015 We formulate the helicaliser, which replaces a given smooth curve by another curve that winds around it. In our analysis, we relate this formulation to the geometrical properties of the self-similar circular fractal (the discrete version of the curved ...
Chew, Lock Yue, Saw, Vee-Liem
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AIP Advances, 2016 Needleless electrospinning technology is considered as a better avenue to produce nanofibrous materials at large scale, and electric field intensity and its distribution play an important role in controlling nanofiber diameter and quality of the ...
Wenxiu Yang +5 more
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Determination of the Fractal Dimension of CO2 Adsorption Isotherms on Shale Samples
Geofluids, 2022 The fractal theory has been widely applied to the analysis of gas adsorption isotherms, which are used for the pore structure characterization in unconventional reservoirs. Fractal dimension is a key parameter that can indicate the complexity of the pore
Hongyan Qi +4 more
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Fractal metrology for biogeosystems analysis [PDF]
Biogeosciences, 2010 Abstract. The solid-pore distribution pattern plays an important role in soil functioning being related with the main physical, chemical and biological multiscale and multitemporal processes. In the present research, this pattern is extracted from the digital images of three soils (Chernozem, Solonetz and "Chocolate'' Clay) and compared in terms of ...
V. Torres-Argüelles +6 more
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