Results 41 to 50 of about 117,996 (268)
Finding ECM-friendly curves through a study of Galois properties [PDF]
, 2012 In this paper we prove some divisibility properties of the cardinality of elliptic curves modulo primes. These proofs explain the good behavior of certain parameters when using Montgomery or Edwards curves in the setting of the elliptic curve method (ECM)
Barbulescu, Razvan +4 more
core +3 more sources
Advanced Engineering Materials, EarlyView.The wettability of aluminum droplets (Al) on different copper substrates (Cu), where liquid Al spreads on solid Cu surfaces to form a liquid–solid interface, is studied numerically and experimentally. The experimental and numerical results show good agreement in the fast‐spreading regime.
Shan Lyu +8 more
wiley +1 more source
Abelian varieties over Q and modular forms [PDF]
, 1992 This paper gives a conjectural characterization of those elliptic curves over the field of complex numbers which "should" be covered by standard modular curves.
Ribet, Kenneth A.
core
Advanced Engineering Materials, EarlyView.This study demonstrates how optimizing laser power, scanning speed, and hatching distance in laser powder bed fusion can boost the productivity of Inconel 718 manufacturing by up to 29% while maintaining mechanical integrity. The work delivers a validated process window and cost–time analysis, offering industry‐ready guidelines for efficient additive ...
Amir Behjat +7 more
wiley +1 more source
Aperiodic Photonics of Elliptic Curves
Crystals, 2019 In this paper we propose a novel approach to aperiodic order in optical science and technology that leverages the intrinsic structural complexity of certain non-polynomial (hard) problems in number theory and cryptography for the engineering of optical ...
Luca Dal Negro +2 more
doaj +1 more source
Homogeneous Mapping Model of ECC for Preventing Differential Power Analysis [PDF]
Jisuanji gongcheng, 2017 Existing public key research is based on increasing the redundance operation of Elliptic Curve Cryptosystems(ECC) aginst Differential Power Analysis(DPA) attacks,it causes ECC efficiency low,and affects the application of ECC in computation resource ...
WU Keke,LI Huiyun,YAN Lijun
doaj +1 more source
Supersingular Elliptic Curves and Moonshine
, 2019 We generalize a theorem of Ogg on supersingular $j$-invariants to supersingular elliptic curves with level. Ogg observed that the level one case yields a characterization of the primes dividing the order of the monster.
Aricheta, Victor Manuel
core +1 more source
Numerical Modeling of Tank Cars Carrying Hazardous Materials With and Without Composite Metal Foam
Advanced Engineering Materials, EarlyView.Large‐scale puncture models consisting of hazardous materials (HAZMATs) tank car with protective steel–steel composite metal foam (S–S CMF) are solved numerically. Tank car plate with added 10.91–13.33 mm thick S–S CMF layer does not puncture. Protective S–S CMF absorbs impact energy, reduces plate deformation, and prevents shear bands formation ...
Aman Kaushik, Afsaneh Rabiei
wiley +1 more source
Boundary asymptotics of the relative Bergman kernel metric for hyperelliptic curves
Complex Manifolds, 2017 We survey variations of the Bergman kernel and their asymptotic behaviors at degeneration. For a Legendre family of elliptic curves, the curvature form of the relative Bergman kernel metric is equal to the Poincaré metric on ℂ \ {0,1}. The cases of other
Dong Robert Xin
doaj +1 more source
Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
Advanced Engineering Materials, EarlyView.The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley +1 more source