Training Deep Learning Based Dynamic MR Image Reconstruction Using Synthetic Fractals. [PDF]
Magn Reson MedABSTRACT Purpose To investigate whether synthetically generated fractal data can be used to train deep learning (DL) models for dynamic MRI reconstruction, thereby avoiding the privacy, licensing, and availability limitations associated with cardiac MR training datasets.
Raman A +10 more
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Pretransplant Malnutrition Risk Components are Associated With Adverse Outcomes After Simultaneous Pancreas and Kidney and Solitary Pancreas Transplantation. [PDF]
Clin TransplantABSTRACT Background Malnutrition is common among patients with end‐organ disease. The impact of any criterion of malnutrition (weight loss, muscle depletion, fat depletion, inadequate oral intake, or reduced functionality) pretransplant among simultaneous pancreas‐kidney (SPK) or solitary pancreas transplant (SPT) recipients is understudied. Methods In
Kennedy K +9 more
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Fluctuating asymmetry based on fractal geometry does not track environmental stress in an intertidal habitat-forming fucoid. [PDF]
J PhycolAbstract The availability of easy‐to‐measure and inexpensive biomarkers is a challenge for monitoring environmental stress in organisms. Although it has been proposed that non‐directional deviations from a symmetrical pattern in morphological traits (called fluctuating asymmetry.
Flores-Moya A +3 more
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Computational Geometry of Period-3 Hyperbolic Components in the Mandelbrot Set
Mathematics, 2021 A parametric theoretical boundary equation of a period-3 hyperbolic component in the Mandelbrot set is established from a perspective of Euclidean plane geometry.
Young-Hee Geum, Young-Ik Kim
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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
Exploring parameter spaces in complex dynamics
Selecciones Matemáticas, 2023 We show the structure of the parameter space for a family of rational maps containing Blaschke products. Through numerical simulations using the orbit of a single critical point, we reveal the existence of infinitely many Mandelbrot-like sets along the ...
Pedro Iván Suárez Navarro
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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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On the Inhomogeneity of the Mandelbrot Set [PDF]
International Mathematics Research Notices, 2019 Abstract We will show that the Mandelbrot set $M$ is locally conformally inhomogeneous; the only conformal map $f$ defined in an open set $U$ intersecting $\partial M$ and satisfying $f(U\cap \partial M)=f(U)\cap \partial M$ is the identity map.
openaire +2 more sources
On the Fibonacci–Mandelbrot set
Indagationes Mathematicae, 2015 Let \(\mathbb{D}:=\{z\in\mathbb{C}\, ; |z|
Sirvent, Víctor F. +1 more
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Anti Mandelbrot Sets via Jungck-M Iteration
IEEE Access, 2020 Complex fractals achieved the highest popularity in the last ten years. Researchers used the fixed point iterations to visualize the fractals and compared the image generation times to check the efficiencies of iterations.
Hengxiao Qi +3 more
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