Results 61 to 70 of about 2,144,780 (355)

On Modular Elliptic Curves

open access: yesJournal of Number Theory, 1993
Let \(J_ 0(N)/ \mathbb{Q}\) denote the Jacobian of the modular curve \(X_ 0(N)/ \mathbb{Q}\). Fix a prime \(p \geq 5\), and let \(K\) denote the maximal unramified extension of \(\mathbb{Q}_ p\). Given an abelian variety \(A/K\), the connected component of zero of the special fiber of its Néron model is an extension of an abelian variety of dimension \(
openaire   +3 more sources

Enhancing Corrosion Resistance and Mechanical Strength of 3D‐Printed Iron Polylactic Acid for Marine Applications via Laser Surface Texturing

open access: yesAdvanced Engineering Materials, EarlyView.
Laser surface texturing significantly improves the corrosion resistance and mechanical strength of 3D‐printed iron polylactic acid (Ir‐PLA) for marine applications. Optimal laser parameters reduce corrosion by 80% and enhance tensile strength by 25% and ductility by 15%.
Mohammad Rezayat   +6 more
wiley   +1 more source

Subgrain and Cavity Development during Creep of Al‐3.85%Mg

open access: yesAdvanced Engineering Materials, EarlyView.
Al‐3.85%Mg does form subgrains if crept at very high strains. This fact allows the unification of the creep description in two different alloys such as pure Al and Al–Mg alloys. It is classically considered that the creep mechanisms for type M (e.g., pure Al) and type A alloys (e.g., Al–Mg alloys) are different.
Augusta Isaac   +6 more
wiley   +1 more source

Aperiodic Photonics of Elliptic Curves

open access: yesCrystals, 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

Residual Stress States in Microstructurally Graded PBF–LB/M Austenitic Steel Components

open access: yesAdvanced Engineering Materials, EarlyView.
This study examines microstructurally graded 316L rectangular tube profiles fabricated via PBF–LB/M using a dual‐laser system. A 1 kW top‐hat and a 400 W Gaussian laser create distinct grain sizes and crystallographic texture. Mechanical properties are linked to microstructural evolution driven by processing conditions.
Nico Möller   +5 more
wiley   +1 more source

Boundary asymptotics of the relative Bergman kernel metric for hyperelliptic curves

open access: yesComplex 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

The Birch and Swinnerton-Dyer Formula for Elliptic Curves of Analytic Rank One [PDF]

open access: yes, 2015
Let $E/\mathbb{Q}$ be a semistable elliptic curve such that $\mathrm{ord}_{s=1}L(E,s) = 1$. We prove the $p$-part of the Birch and Swinnerton-Dyer formula for $E/\mathbb{Q}$ for each prime $p \geq 5$ of good reduction such that $E[p]$ is irreducible: $$ \
Dimitar Jetchev, C. Skinner, X. Wan
semanticscholar   +1 more source

Impact of Hot Isostatic Pressing on Microstructure Evolution and Creep Performance of Powder Bed Fusion–Laser Beam Processed CM247LC

open access: yesAdvanced Engineering Materials, EarlyView.
The influence of Hot Isostatic Pressing (HIP) temperature on the microstructure and creep performance of powder bed fusion–laser beam processed CM247LC superalloy is investigated. Grain growth and γ’ precipitate evolution are characterized following HIP at varying temperatures.
Ahmed Fardan   +4 more
wiley   +1 more source

An exploration of affine group laws for elliptic curves

open access: yesJournal of Mathematical Cryptology, 2011
Several forms of elliptic curves are suggested for an efficient implementation of Elliptic Curve Cryptography. However, a complete description of the group law has not appeared in the literature for most popular forms.
Hisil Huseyin   +3 more
doaj   +1 more source

Micromechanical Characterization of 316L‐V4E Steel Transitions Produced by Electron Beam Powder Bed Fusion with Dual‐Hopper Alternating Layer Strategy

open access: yesAdvanced Engineering Materials, EarlyView.
This work applies High‐Speed Nanoindentation to study multi‐material transitions in powder bed fusion–electron beam melting components. The aim is to assess the mechanical gradients and interfacial behavior between American iron and steel institute 316L stainless steel and V4E tool steel in additively manufactured structures.
Laia Ortiz‐Membrado   +6 more
wiley   +1 more source

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