Results 31 to 40 of about 174,740 (173)
Acknowledgement to Reviewers of Fractal Fract in 2018
Fractal and Fractional, 2019 Rigorous peer-review is the corner-stone of high-quality academic publishing [...]
Fractal Fract Editorial Office
doaj +1 more source
Scattering from surface fractals in terms of composing mass fractals [PDF]
J. Appl. Cryst. 50, 919-931 (2017), 2015 We argue that a finite iteration of any surface fractal can be composed of mass-fractal iterations of the same fractal dimension. Within this assertion, the scattering amplitude of surface fractal is shown to be a sum of the amplitudes of composing mass fractals. Various approximations for the scattering intensity of surface fractal are considered.
arxiv +1 more source
Fractal Modeling and Fractal Dimension Description of Urban Morphology [PDF]
Entropy, 2020,22: 961, 2018 The conventional mathematical methods are based on characteristic length, while urban form has no characteristic length in many aspects. Urban area is a measure of scale dependence, which indicates the scale-free distribution of urban patterns. Thus, the urban description based on characteristic lengths should be replaced by urban characterization ...
arxiv +1 more source
On Fractal Features and Fractal Linear Space About Fractal Continuous Functions [PDF]
Fractals, 29(1), 2021, 2021 This paper investigates fractal dimension of linear combination of fractal continuous functions with the same or different fractal dimensions. It has been proved that: (1) $BV_{I}$ all fractal continuous functions with bounded variation is fractal linear space; (2) ${}^{1}D_{I}$ all fractal continuous functions with Box dimension one is a fractal ...
arxiv
Quadrilateral Labyrinth Fractals [PDF]
arXiv, 2021 In this paper, a class of fractals, called quadrilateral labyrinth fractals, are introduced and studied. They are a special kind of fractals on any quadrilateral on the plane. This type of fractal is motivated by labyrinth fractal on the unit square and triangle, which were already studied. This paper mainly deals with the construction of quadrilateral
arxiv
Crystallization of space: Space-time fractals from fractal arithmetic [PDF]
Chaos, Solitons and Fractals 83 (2016) 201-211, 2015 Fractals such as the Cantor set can be equipped with intrinsic arithmetic operations (addition, subtraction, multiplication, division) that map the fractal into itself. The arithmetics allows one to define calculus and algebra intrinsic to the fractal in question, and one can formulate classical and quantum physics within the fractal set. In particular,
arxiv +1 more source
EIRP Proceedings, 2022 Classical statistical and econometric theory, intended to provide functional forecasting models in capital markets, is the mathematical foundation for a number of theories - efficient market theory, Harry Markowitz's optimized portfolio theory, the ...
Ana-Maria Metescu
doaj
The Mellin Transform and Non-local Derivatives of Fractal Calculus [PDF]
arXiv, 2023 In this paper, the fractal calculus of fractal sets and fractal curves are compared. The analogues of the Riemann-Liouville and the Caputo integrals and derivatives are defined for the fractal curves which are non-local derivatives. The analogous for the fractional Laplace concepts are defined to solve fractal non-local differential equations on ...
arxiv
Fractal Calculus on Fractal Interpolation Functions
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.
A. Gowrisankar +2 more
semanticscholar +1 more source
Fractal kinetic characteristics of hard-rock uranium leaching with sulfuric acid [PDF]
Royal Society Open Science, 2018 In order to study the fractal dynamic properties of uranium leach mining and discuss the influence of ore crushing on the dynamics of leach mining, uranium mine ore rocks in southern China were selected as the research object and an acid leaching ...
Sheng Zeng +3 more
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