Results 21 to 30 of about 29,274 (167)
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
doaj +1 more source
From Fractal Geometry to Fractal Analysis
Applied Mathematics, 2016 Euclidian geometry pertained only to the artificial realities of the first, second and third dimensions. Fractal geometry is a new branch of mathematics that proves useful in representing natural phenomena whose dimensions (fractal dimensions) are non-integer values. Fractal geometry was conceived in the 1970s, and mainly developed by Benoit Mandelbrot.
Gabriele A. Losa +4 more
openaire +2 more sources
Fractals, 2009 The formulation of a new analysis on a zero measure Cantor set C(⊂I = [0,1]) is presented. A non-Archimedean absolute value is introduced in C exploiting the concept of relative infinitesimals and a scale invariant ultrametric valuation of the form log ε-1 (ε/x) for a given scale ε > 0 and infinitesimals 0 < x < ε, x ∈ I\C.
Raut, Santanu, Datta, Dhurjati Prasad
openaire +2 more sources
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
doaj +1 more source
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
doaj +1 more source
A Comparative Study of Fractal Models Applied to Artificial and Natural Data
Fractal and FractionalThis paper presents an original and comprehensive comparative analysis of eight fractal analysis methods, including Box Counting, Compass, Detrended Fluctuation Analysis, Dynamical Fractal Approach, Hurst, Mass, Modified Mass, and Persistence.
Gil Silva +9 more
doaj +1 more source
Understanding Fractal Analysis? The Case of Fractal Linguistics [PDF]
Complexus, 2006 Terms such as ‘self-similarity’, ‘space filling’, ‘fractal dimension’, and associated concepts have different meanings to different people depending on their background. We examine how methodology in fractal analysis is influenced by diverse definitions of fundamental concepts that lead to difficulties in understanding fundamental issues.
Jelinek, Herbert F. +5 more
openaire +2 more sources
Advanced Functional Materials, EarlyView.Herein presented supraparticles combine the nanoparticulate photocatalyst graphitic carbon nitride with the enzyme horseradish peroxidase, which is immobilized on silica nanoparticles. In an optimized compatibility range, both catalysts operate effectively within the hybrid supraparticles and catalyze a cascade reaction consisting of the photocatalytic
Bettina Herbig +11 more
wiley +1 more source
Journal of Inequalities and ApplicationsIn this paper, an integral identity is developed using the framework of multiplicative tempered Riemann-Liouville fractional integrals. By utilizing the identity several Newton-type inequalities are established for twice *differentiable multiplicatively ...
Muhammad Samraiz +3 more
doaj +1 more source
Deciphering Shale Gas Production Dynamics: A Fractal Theory Approach
Fractal and FractionalShale gas production dynamics display strong heterogeneity and nonlinearity, posing challenges to conventional analytical methods. This study applies fractal theory to analyze long-term production data from 178 global shale gas fields by calculating ...
Baolei Liu +3 more
doaj +1 more source