Results 41 to 50 of about 174,740 (173)
Electromagnetic Fields on Fractals [PDF]
Modern Physics Letters A. Vol.21. No.20. (2006) 1587-1600, 2007 Fractals are measurable metric sets with non-integer Hausdorff dimensions. If electric and magnetic fields are defined on fractal and do not exist outside of fractal in Euclidean space, then we can use the fractional generalization of the integral Maxwell equations. The fractional integrals are considered as approximations of integrals on fractals.
arxiv +1 more source
Fuzzification of Fractal Calculus [PDF]
arXiv, 2023 In this manuscript, fractal and fuzzy calculus are summarized. Fuzzy calculus in terms of fractal limit, continuity, its derivative, and integral are formulated. The fractal fuzzy calculus is a new framework that includes fractal fuzzy derivatives and fractal fuzzy integral.
arxiv
Aprendendo a ensinar Matemática no Ensino Remoto
Revista Baiana de Educação Matemática, 2021 Este é um relato de experiência que apresenta as reflexões acerca do Estágio Supervisionado desenvolvido por estudantes de Licenciatura em Matemática da Universidade Federal de Goiás (UFG).
Isabela Santos +2 more
doaj
The 100th anniversary of fractal geometry: From Julia and Fatou through Hausdorff and Besicovitch to Mandelbrot [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамика, 2020 The purpose of this article is to present the biographies of the main creators of fractal geometry from the moment the first ideas arose, when the term «fractal» did not exist, to the present day.
Vdovina, Galina Mihajlovna +1 more
doaj +1 more source
Solving and Applying Fractal Differential Equations: Exploring Fractal Calculus in Theory and Practice [PDF]
arXiv, 2023 In this paper, we delve into the fascinating realm of fractal calculus applied to fractal sets and fractal curves. Our study includes an exploration of the method analogues of the separable method and the integrating factor technique for solving $\alpha$-order differential equations.
arxiv
Micro and Macro Fractals generated by multi-valued dynamical systems [PDF]
Fractals 22:4 (2014), 1450012, 2013 Given a multi-valued function $\Phi$ on a topological space $X$ we study the properties of its fixed fractal, which is defined as the closure of the orbit $\Phi^\omega(Fix(\Phi))=\bigcup_{n\in\omega}\Phi^n(Fix(\Phi))$ of the set $Fix(\Phi)=\{x\in X:x\in\Phi(x)\}$ of fixed points of $\Phi$.
arxiv +1 more source
TH Open, 2017 Circulating platelets and platelet-derived microparticles are regulators of cancer metastasis. In this study, we show that breast cancer cells induce platelet aggregation and lead to the release of platelet-derived microparticles.
Marta Zarà +8 more
doaj +1 more source
The solutions to uncertainty problem of urban fractal dimension calculation [PDF]
Entropy, 2019, 21, 453, 2017 Fractal geometry provides a powerful tool for scale-free spatial analysis of cities, but the fractal dimension calculation results always depend on methods and scopes of study area. This phenomenon has been puzzling many researchers. This paper is devoted to discussing the problem of uncertainty of fractal dimension estimation and the potential ...
arxiv +1 more source
Mathematical methods in the applied sciences, 2020 The newly generalized energy storage component, namely, memristor, which is a fundamental circuit element so called universal charge‐controlled mem‐element, is proposed for controlling the analysis and coexisting attractors.
K. A. Abro, A. Atangana
semanticscholar +1 more source
Frontiers in Physiology, 2012 When investigating fractal phenomena, the following questions are fundamental for the applied researcher: (1) What are essential statistical properties of 1/f noise? (2) Which estimators are available for measuring fractality?
Tatjana eStadnitski
doaj +1 more source