Results 91 to 100 of about 117,996 (268)
Families of elliptic curves with genus 2 covers of degree 2
, 2006 We study genus 2 covers of relative elliptic curves over an arbitrary base in which 2 is invertible. Particular emphasis lies on the case that the covering degree is 2.
Diem, Claus
core
Advanced Healthcare Materials, EarlyView.3D printed hybrid scaffolds combining bioactive silica–calcium chemistry with elastic polymers guide human bone stem cells to form bone. The scaffolds support cell survival, organization, and invasion while releasing osteogenic ions. Together, architecture and composition drive bone‐specific gene expression, extracellular matrix organization, and ...
David R. Sory +3 more
wiley +1 more source
Advanced Healthcare Materials, EarlyView.Wound closure is governed by geometry‐orientation coupling: aligned fibers speed migration along their axis but hinder perpendicular advance. In vivo diabetic wound experiments with composition‐matched fibrin, combined with an anisotropic diffusion (biased random‐walk) model, quantify this trade‐off and generate a healing landscape.
Yin‐Yuan Huang +13 more
wiley +1 more source
Building cryptographic schemes based on elliptic curves over rational numbers
Научно-технический вестник информационных технологий, механики и оптикиThe possibility of using elliptic curves over the rational field of non-zero ranks in cryptographic schemes is studied. For the first time, the construction of cryptosystems is proposed the security of which is based on the complexity of solving the ...
V. V. Davydov +3 more
doaj +1 more source
COMPUTING IMAGES OF GALOIS REPRESENTATIONS ATTACHED TO ELLIPTIC CURVES
Forum of Mathematics, Sigma, 2016 Let $E$ be an elliptic curve without complex multiplication (CM) over a number field $K$
ANDREW V. SUTHERLAND
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Enhanced Endoscopic Internal Drainage of Gastric Abscess Through Additively Manufactured Stents
Advanced Healthcare Materials, EarlyView.Postoperative gastric leaks are often treated with off‐label biliary double‐pigtail stents, yet conventional extruded designs are not optimized for leak anatomy, can migrate, and may limit abscess evacuation. PETALS is introduced to optimize transmural drainage geometry and enable patient‐specific 3D‐printable stents.
Parima Phowarasoontorn +14 more
wiley +1 more source
Controllable Dynamic Mechanical Cell Stimulation using Magnetically Actuated Artificial Cilia
Advanced Healthcare Materials, EarlyView.This paper introduces a platform based on magnetic artificial cilia for providing controllable dynamic mechanical stimulation to single cells, suitable for investigating large cell populations and enabling live cell imaging. Proof‐of‐principle experiments show that cell morphology is strongly influenced by the artificial cilia, that cellular forces can
Roel Kooi +5 more
wiley +1 more source
Symmetry Arguments for Edwards Elliptic Curves
MathematicsWe revisit Edwards normal form for elliptic curves, and show how elementary symmetry arguments lead to a more general expression for his addition formula on these curves.
Stephen Andryc, Joel Langer
doaj +1 more source
Methods for using elliptic curves in cryptography [PDF]
E3S Web of ConferencesElliptic Curve Cryptography (ECC), a significant modern cryptography, is more secure and robust than most others due to its construction using an elliptic curve and the application of mathematical operations for encryption and key generation. Furthermore,
Obukhov Vadim +4 more
doaj +1 more source
Advanced Healthcare Materials, EarlyView.A superhydrophobic 3D cell culture platform enables rapid and consistent formation of heterotypic tumor–stroma clusters, and reveals how physiological shear conditions influence metastatic signaling. Mechanical stimulation of cancer‐associated fibroblasts promotes sustained cytokine secretion and survival‐promoting pathways, showing how multicellular ...
Alexandria T. Carter +5 more
wiley +1 more source