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Quadratic dynamics over hyperbolic numbers: a brief survey [PDF]
Surveys in Mathematics and its Applications, 2022 Hyperbolic numbers, also called split complex or perplex numbers in the literature, are a variation of complex numbers established as a theory primarily by W. Clifford in the nineteenth century who applied them to mechanics.
Sandra Hayes
doaj
Finite Basin's Area Fractal via Complex Newton's Method [PDF]
Kirkuk Journal of Science, 2018 In this study, we explain that when we applied Newton’s method on , the basins of roots have finite area when , where and . Using MATLAB we obtained nice fractals in order to prove the finite basins area when .
Zainab Weli Murad
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Graphical exploration of the connectivity sets of alternated Julia sets [PDF]
Nonlinear Dynamics, 2013 7 ...
Danca, Marius-F. +2 more
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Analysis of Neutrosophic Set, Julia Set in Aircraft Crash
Neutrosophic Sets and SystemsA neutrosophic fuzzy set that generalizes the classical set is represented by a closed interval [0,1]. Let us generalize the fuzzy set to the Neutrosophic set, which is defined as three membership functions between interval ]-0,1+ [.
M.N. Bharathi, G. Jayalalitha
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Mandelbrot and Julia Sets of Transcendental Functions Using Picard–Thakur Iteration
Fractal and Fractional, 2023 The majority of fractals’ dynamical behavior is determined by escape criteria, which utilize various iterative procedures. In the context of the Julia and Mandelbrot sets, the concept of “escape” is a fundamental principle used to determine whether a ...
Ashish Bhoria +2 more
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Tumor B‐cell infiltration in platinum‐treated advanced muscle‐invasive urothelial carcinoma
Molecular Oncology, EarlyView.Bladder tumors with higher pretreatment memory B‐cell infiltration were linked to longer survival after cisplatin chemotherapy, but not carboplatin. These tumors also showed more organized immune structures (tertiary lymphoid structures) and a shared pro‐inflammatory B‐cell‐rich community, suggesting that memory B cells may help identify patients most ...
Konrad Stawiski +10 more
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From tumor‐centric to ecosystem‐based hypotheses in brain tumor research and care
Molecular Oncology, EarlyView.Primary brain tumors, whether in adults or children, present a major challenge because of their dramatic prognosis and the ongoing lack of efficient therapeutic approaches. In recent years, a shift has occurred from tumor‐centric concepts to a more holistic view of these tumors as dynamic ecosystems.
Julie Gavard +8 more
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Fractals via Generalized Jungck–S Iterative Scheme
Discrete Dynamics in Nature and Society, 2021 The purpose of this research is to introduce a Jungck–S iterative method with m,h1,h2–convexity and hence unify different comparable iterative schemes existing in the literature.
Zhihua Chen +3 more
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Fractals Parrondo’s Paradox in Alternated Superior Complex System
Fractal and Fractional, 2021 This work focuses on a kind of fractals Parrondo’s paradoxial phenomenon “deiconnected+diconnected=connected” in an alternated superior complex system zn+1=β(zn2+ci)+(1−β)zn,i=1,2.
Yi Zhang, Da Wang
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The capacity of parabolic julia sets
Mathematische Zeitschrift, 1992 We prove that the Hausdorff dimension \(h\) of the Julia set of a parabolic rational map is equal to its capacity (box dimension), and is also equal to the Hausdorff dimension of the unique \(h\)-conformal measure.
Denker, M., Urbanski, M.
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