Results 51 to 60 of about 16,319,095 (224)
Statistics about elliptic curves over finite prime fields [PDF]
, 2006 We derive formulas for the probabilities of various properties (cyclicity, squarefreeness, generation by random points) of the point groups of randomly chosen elliptic curves over random prime ...
Gekeler, Ernst-Ulrich
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Advanced Science, EarlyView.A versatile framework integrates addressable electrothermal actuation and strain‐constraint mechanisms to construct programmable shape‐morphing soft matter systems. By combining an analytical inverse design strategy for high‐fidelity 3D surface reconstruction with deep learning‐based closed‐loop control, this approach enables zero‐energy shape locking,
Kai Liu +5 more
wiley +1 more source
Heegner modules and elliptic curves
, 2004 Heegner points on both modular curves and elliptic curves over global fields of any characteristic form the topic of this research monograph. The Heegner module of an elliptic curve is an original concept introduced in this text.
Brown, Martin L
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Advanced Science, EarlyView.Cross‐disciplinary endeavors are blossoming across the broad chemical sciences. This perspective provides a glimpse into the rewarding interdisciplinary journey taken by the Charles Loh research group in pioneering the σ‐hole based catalytic glycosylation strategy.
Charles C. J. Loh
wiley +1 more source
Advanced Science, EarlyView.In human oral keratinocytes, OTUD6A promoted cell migration by deubiquitinating and stabilizing PRDX1. Conversely, OTUD6A deficiency reduced PRDX1 stability, triggering mitochondrial dysfunction and aggravating OU progression. ABSTRACT Oral ulcers (OU), as the most highly prevalent and recurrent oral mucosal lesion, have an unclear pathogenesis that ...
Xiaoyu Sun +15 more
wiley +1 more source
p-adic uniformization of elliptic curves [PDF]
openThis thesis studies elliptic curves on various fields to gain a deeper understanding of Tate’s p-adic uniformisation theorem. The first chapter consists of an overview on elliptic curves with their properties, for example the Group Law, and elliptic ...
TONON, FRANCESCO
core
Dipolar Coupling Errors in Nuclear Spin Qubits
Advanced Science, EarlyView.Multi‐nuclear spin registers of phosphorus‐atom qubits in silicon have demonstrated 99.99% single and >$>$99.9% two qubit gate fidelities. Despite nanometer separation, read‐out fidelities between individual nuclear spins within the register are not identical.
I. D. Thorvaldson +15 more
wiley +1 more source
Local-global principle for 11-isogenies of elliptic curves is true over quadratic fields
9 pages; Title has changed; We have added referees' comments;
Gajović, S. ; https://orcid.org/0000-0003-3846-5199 +2 more
openaire +3 more sources
Advanced Science, EarlyView.A metasurface‐enabled helical wavefront fingerprint (MHWF) paradigm is proposed for quantitative and specific retrieval of a liquid medium's refractive index and extinction coefficient. The liquid's complex dielectric response governs the wavefront evolution of the metasurface‐generated focused vortex beam, forming a distinctive three‐dimensional ...
Yuting Zhou +10 more
wiley +1 more source
Discrete 2D Material Programming for 3D Shaping and Morphogenesis‐Inspired 4D Bioprinting
Advanced Science, EarlyView.Cell‐compatible discrete 2D material programming enables 2‐to‐3D shape transformation and morphogenesis‐inspired 4D bioprinting. By patterning cell‐supportive microdomains within a responsive hydrogel, the approach programs in‐plane growth to encode target metrics.
Fereshteh Family +3 more
wiley +1 more source