Results 11 to 20 of about 21,689 (298)
Fractals: An Eclectic Survey, Part-I
Fractal and Fractional, 2022 Fractals are geometric shapes and patterns that may repeat their geometry at smaller or larger scales. It is well established that fractals can describe shapes and surfaces that cannot be represented by the classical Euclidean geometry.
Akhlaq Husain +2 more
exaly +3 more sources
Pseudoinversion Fractals [PDF]
, 2016 In this paper, we present some modifications of inversion fractals. The first modification is based on the use of different metrics in the inversion transformation. Moreover, we propose a switching process between different metric spaces. All the proposed modifications allowed us to obtain new and diverse fractal patterns that differ from the original ...
Krzysztof Gdawiec, Gdawiec, Krzysztof
openaire +6 more sources
Paediatric Respiratory Reviews, 2010 There is increasing interest in the study of fractals in medicine. In this review, we provide an overview of fractals, of techniques available to describe fractals in physiological data, and we propose some reasons why a physician might benefit from an understanding of fractals and fractal analysis, with an emphasis on paediatric respiratory medicine ...
Thamrin, Cindy +2 more
openaire +5 more sources
Regular, Singular and Hypersingular Integrals over Fractal Contours
Mathematics, 2023 The paper is devoted to the approximate calculation of Riemann definite integrals, singular and hypersingular integrals over closed and open non-rectifiable curves and fractals.
Ilya Boykov +2 more
doaj +1 more source
Fractals: An Eclectic Survey, Part II
Fractal and Fractional, 2022 Fractals are geometric shapes and patterns that can describe the roughness (or irregularity) present in almost every object in nature. Many fractals may repeat their geometry at smaller or larger scales.
Akhlaq Husain +3 more
doaj +1 more source
Fractal Calculus on Fractal Interpolation Functions [PDF]
Fractal and Fractional, 2021 In this paper, fractal calculus, which is called Fα-calculus, is reviewed. Fractal calculus is implemented on fractal interpolation functions and Weierstrass functions, which may be non-differentiable and non-integrable in the sense of ordinary calculus.
Gowrisankar, Arulprakash +2 more
openaire +3 more sources
FRACTAL RADIOPHYSICS. 1. THEORETICAL BASES [PDF]
Radio Physics and Radio Astronomy, 2020 Purpose: Currently, there is a tendency to “fractalize” the science. Radiophysics is no exception. The subject of this work is a review of the basic ideas of “fractalization”, the mathematical foundations of modern fractal methods for describing and ...
O. V. Lazorenko, L. F. Chernogor
doaj +1 more source
Incomplete fractal showers and restoration of dimension [PDF]
EPJ Web of Conferences, 2019 The S ePaC and BC methods are used in the fractal analysis of mixed events containing incomplete fractals. The reconstruction of the event distribution by the dimension DF is studied.
Dedovich Tatiana, Tokarev Mikhail
doaj +1 more source
Recursive evolution of spin-wave multiplets in magnonic crystals of antidot-lattice fractals
Scientific Reports, 2021 We explored spin-wave multiplets excited in a different type of magnonic crystal composed of ferromagnetic antidot-lattice fractals, by means of micromagnetic simulations with a periodic boundary condition.
Gyuyoung Park +2 more
doaj +1 more source