Results 111 to 120 of about 64,522 (306)
Bulletin of the London Mathematical SocietyAbstractWe prove that the rational Hilbert space, known as the Erdős space , surfaces in complex dynamics via iteration of . More precisely, is topologically equivalent to the set of endpoints of the Julia set whose orbits tend to infinity in the imaginary direction.
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Julia sets and self-similar sets
Topology and its Applications, 1993 The paper establishes relationships between self-similar sets and Julia sets. The main result states the condition for a self-similar set to be homeomorphic to the Julia set for some polynomial map. It is known that for some polynomial map, under some conditions, Julia sets are self-similar and therefore can be defined by iterated function systems ...
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AIMS MathematicsA dynamic visualization of Julia and Mandelbrot fractals involves creating animated representations of these fractals that change over time or in response to user interaction which allows users to gain deeper insights into the intricate structures and ...
Arunachalam Murali , Krishnan Muthunagai
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Advanced Science, EarlyView.In trophoblast cells, T/S (TNFα + SM164) activated caspase‐3, which cleaved GSDME to switch apoptosis to pyroptosis, causing cell swelling, membrane rupture, and release of LDH, HMGB1, IL‐1β and IL‐18. These cytokines induced pro‐inflammatory macrophage polarization, which in turn reinforced pyroptotic signaling in trophoblasts, amplifying systemic ...
Baoying Huang +15 more
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Rigidity and non local connectivity of Julia sets of some quadratic\n polynomials [PDF]
, 2007 Genadi Levin
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Durable Thin‐Film Porous Transport Electrodes for High Current Density PEM Water Electrolysis
Advanced Science, EarlyView.Water electrolysis using porous transport electrodes with sputter‐deposited, ionomer‐free thin films of rutile IrO2 catalyst suppresses Ir dissolution by >10x over other forms of IrOx. The rutile IrO2 catalyst prepared by this readily scalable electrode synthesis method provides stable cell operation at 3 A cm−2 while using low Ir loading (0.4 mg Ir cm−
James L. Young +18 more
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Resilient Calvarial Bone Marrow Supports Retinal Repair in Type 2 Diabetes
Advanced Science, EarlyView.Skull bone (calvarium) marrow in diabetic mice stay structurally intact and keeps making blood cells, unlike the bone marrow of the leg bones. The skull marrow is exposed to cerebrospinal fluid (CSF), which contains protective molecules called oxysterols.
Bright Asare‐Bediako +16 more
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A bounded sequence of bitransitive and capture Sierpiński curve Julia sets for 3-circle inversions [PDF]
, 2023 Daniel M. Look
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Quantitative Stain Mapping in X‐Ray Virtual Histology
Advanced Science, EarlyView.Virtual histology promises 3D tissue examination without physical sectioning, yet has lacked the tissue‐specificity of conventional pathology. This work demonstrates the first quantitative three‐dimensional stain mapping at histologically relevant resolution, separating contrast agent from tissue to reveal cellular features such as nuclei. The approach
Dominik John +16 more
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Fekete polynomials and shapes of Julia sets [PDF]
, 2017 Kathryn Lindsey, Malik Younsi
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