Results 61 to 70 of about 176,423 (294)

Finite Fields

open access: yesFormalized Mathematics
Summary We continue the formalization of field theory in Mizar. Here we prove existence and uniqueness of finite fields by constructing the splitting field of the polynomial X(pn) −X over the prime field of a field with characteristic p.
openaire   +2 more sources

A Novel Approach on Rapid Alloy Development of Tool Steels for Laser Powder Bed Fusion by In Situ Alloying

open access: yesAdvanced Engineering Materials, EarlyView.
A novel approach for alloy development in laser powder bed fusion is introduced. Instead of producing massive samples of one composition at a time, prepressed powder bed samples produced from powder mixtures are processed. Guidelines for the selection of precursor powders are developed.
Felix Großwendt   +6 more
wiley   +1 more source

Consolidate Overview of Ribonucleic Acid Molecular Dynamics: From Molecular Movements to Material Innovations

open access: yesAdvanced Engineering Materials, EarlyView.
Molecular dynamics simulations are advancing the study of ribonucleic acid (RNA) and RNA‐conjugated molecules. These developments include improvements in force fields, long‐timescale dynamics, and coarse‐grained models, addressing limitations and refining methods.
Kanchan Yadav, Iksoo Jang, Jong Bum Lee
wiley   +1 more source

Beyond Order: Perspectives on Leveraging Machine Learning for Disordered Materials

open access: yesAdvanced Engineering Materials, EarlyView.
This article explores how machine learning (ML) revolutionizes the study and design of disordered materials by uncovering hidden patterns, predicting properties, and optimizing multiscale structures. It highlights key advancements, including generative models, graph neural networks, and hybrid ML‐physics methods, addressing challenges like data ...
Hamidreza Yazdani Sarvestani   +4 more
wiley   +1 more source

Low‐Activation Compositionally Complex Alloys for Advanced Nuclear Applications—A Review

open access: yesAdvanced Engineering Materials, EarlyView.
Low‐activation compositionally complex alloys (LACCAs) are advanced metallic materials primarily composed of low‐activation elements, offering advantages such as rapid compliance with operational standards and safe recyclability. This review highlights their potential for extreme high‐temperature irradiation environments as structural materials for ...
Yangfan Wang   +8 more
wiley   +1 more source

Point Compression and Coordinate Recovery for Edwards Curves over Finite Field

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2014
We present two computational approaches for the purpose of point compression and decompression on Edwards curves over the finite field Fp where p is an odd prime.
Justus Benjamin
doaj   +1 more source

On the Brauer Monoid for Finite Fields [PDF]

open access: yes, 2001
The Brauer monoid is studied by the notion of 0-cohomology. We investigate the impact of invertible elements of modifications on the structure of the Brauer monoid, especially for finite fields.
Vladimir V. Kirichenko, Boris Novikov
openaire   +3 more sources

An Integrated MATLAB Code for Homogenization‐Based Topology Optimization and Generating Functionally Graded Surface Lattices for Additive Manufacturing

open access: yesAdvanced Engineering Materials, EarlyView.
Unlocking structural efficiency, this work integrates homogenization‐based topology optimization with functionally graded triply periodic minimal surface lattices to create highly efficient, customizable lattice structures. Key achievements include the development of a versatile MATLAB framework, optimization of mechanical properties for additive ...
Mirhan Ozdemir   +4 more
wiley   +1 more source

An Examination of Aerosol Jet‐Printed Surface Roughness and its Impact on the Performance of High‐Frequency Electronics

open access: yesAdvanced Engineering Materials, EarlyView.
This study explores aerosol jet‐printed (AJP) surface roughness, its effects on the performance of microwave electronics, and its process contributors. First, an electromagnetic model is vetted for AJP's unique roughness signature. Simulations are built which show process‐induced roughness is as significant as conductor resistivity in driving microwave
Christopher Areias, Alkim Akyurtlu
wiley   +1 more source

Lookup Table-Based Design of Scalar Multiplication for Elliptic Curve Cryptography

open access: yesCryptography
This paper is aimed at using a lookup table method to improve the scalar multiplication performance of elliptic curve cryptography. The lookup table must be divided into two polynomials and requires two iterations of point doubling operation, for which ...
Yan-Duan Ning   +3 more
doaj   +1 more source

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