Results 41 to 50 of about 17,749 (300)
Mathematics, 2017 In this article, we show how to use the first and second Minkowski Theorems and some Diophantine geometry to bound explicitly the height of the points of rank N - 1 on transverse curves in E N , where E is an elliptic curve without Complex
Evelina Viada
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Advanced Functional Materials, EarlyView.Anisometric carbon nanodots are synthesized directly from a liquid crystal precursor and embedded into polymer network liquid crystals to create soft, multifunctional photonic films. These hybrid devices exhibit polarized photoluminescence, broad UV absorption, and fast, electrically tunable light modulation.
Mangesh D. Patekari +4 more
wiley +1 more source
Average Analytic Ranks of Elliptic Curves over Number Fields
Forum of Mathematics, SigmaWe give a conditional bound for the average analytic rank of elliptic curves over an arbitrary number field. In particular, under the assumptions that all elliptic curves over a number field K are modular and have L-functions which satisfy the ...
Tristan Phillips
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Application of mathematical optimization in elliptic curve arithmetic
Безопасность информационных технологий, 2017 Currently, a lot of standardized elliptic curve cryptographic algorithms are widely used. Due to the constantly increasing execution speed demands, implementation optimization problem become actual.
Alexander Igorevich Skripko +1 more
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pH‐Tunable Material Properties of Glycine‐Rich Condensates from Tick Bioadhesive
Advanced Functional Materials, EarlyView.This work studies the influence of pH on the phase separation behavior of a disordered glycine‐rich protein found in tick bioadhesive. The results show profound impact on the propensity of coacervation, condensate microstructure and viscosity, amphiphilicity of the peptides, and effective encapsulation of therapeutic molecules.
Manali Nandy +5 more
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Faster Complete Addition Laws for Montgomery Curves
Transactions on Cryptographic Hardware and Embedded SystemsAn addition law for an elliptic curve is complete if it is defined for all possible pairs of input points on the elliptic curve. In Elliptic Curve Cryptography (ECC), a complete addition law provides a natural protection against side-channel attacks ...
Reza Rezaeian Farashahi +2 more
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On hashing into elliptic curves
Journal of Mathematical Cryptology, 2009 We study the hash function from a finite field 𝔽q into an elliptic curve over 𝔽q which has recently been introduced by T. Icart. In particular we slightly adjust and prove the asymptotic formula conjectured by T. Icart for the image size of this function.
Farashahi Reza R. +2 more
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Peptide Sequencing With Single Acid Resolution Using a Sub‐Nanometer Diameter Pore
Advanced Functional Materials, EarlyView.To sequence a single molecule of Aβ1−42–sodium dodecyl sulfate (SDS), the aggregate is forced through a sub‐nanopore 0.4 nm in diameter spanning a 4.0 nm thick membrane. The figure is a visual molecular dynamics (VMD) snapshot depicting the translocation of Aβ1−42–SDS through the pore; only the peptide, the SDS, the Na+ (yellow/green) and Cl− (cyan ...
Apurba Paul +8 more
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Heuristics on pairing-friendly elliptic curves
Journal of Mathematical Cryptology, 2012 We present a heuristic asymptotic formula as for the number of isogeny classes of pairing-friendly elliptic curves over prime fields with fixed embedding degree , with fixed discriminant, with rho-value bounded by a fixed such that , and with prime ...
Boxall John
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Advanced Functional Materials, EarlyView.This work reveals a fundamental trade‐off between plasmonic and dielectric metasurfaces for molecular sensing. A clear performance crossover is identified: dielectric metasurfaces excel in air, while plasmonic metasurfaces dominate in lossy solvents. These results establish design rules for infrared metasurface sensors and enable optimized performance ...
Tao Jiang +8 more
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