Results 91 to 100 of about 114,538 (286)

Analysis of algorithms performing basic arithmetic operations in the quadratic RNS

Наука. Инновации. Технологии, 2022
In this paper we explore the question of representing complex numbers in a residue number system and build algorithms for the operations of addition and multiplication. The idea of the construction of such systems is in determining how the set of complex
Lyudmila Borisovna Kopytkova
doaj  

Physics‐Embedded Neural Network: A Novel Approach to Design Polymeric Materials

Advanced Science, EarlyView.
Traditional black‐box models for polymer mechanics rely solely on data and lack physical interpretability. This work presents a physics‐embedded neural network (PENN) that integrates constitutive equations into machine learning. The approach ensures reliable stress predictions, provides interpretable parameters, and enables performance‐driven, inverse ...
Siqi Zhan, Hengheng Zhao, Haotian Wang, Zhanjie Liu, Qian Li, Weifeng Zhang, Qingsong Zhao, Liqun Zhang, Jun Liu   +8 more
wiley   +1 more source

Units in families of totally complex algebraic number fields

International Journal of Mathematics and Mathematical Sciences, 2004
Multidimensional continued fraction algorithms associated with GLn(ℤk), where ℤk is the ring of integers of an imaginary quadratic field K, are introduced and applied to find systems of fundamental units in families of totally complex algebraic number ...
L. Ya. Vulakh
doaj   +1 more source

On novel security systems based on the 2-cyclic refined integers and the foundations of 2-cyclic refined number theory [PDF]

Journal of Fuzzy Extension and Applications
Integers play a basic role in the structures of asymmetric crypto-algorithms. Many famous public key crypto-schemes use the basics of number theory to share keys and decrypt and encrypt messages and multimedia.
Mohammad Abobala, Hasan Sankari, Mohamed Zeina   +2 more
doaj   +1 more source

ML Workflows for Screening Degradation‐Relevant Properties of Forever Chemicals

Advanced Science, EarlyView.
The environmental persistence of per‐ and polyfluoroalkyl substances (PFAS) necessitates efficient remediation strategies. This study presents physics‐informed machine learning workflows that accurately predict critical degradation properties, including bond dissociation energies and polarizability.
Pranoy Ray, Andrew R. Castillo, Manoj Kolel‐Veetil, Surya R. Kalidindi   +3 more
wiley   +1 more source

K-theory for ring C*-algebras - the case of number fields with higher roots of unity

We compute K-theory for ring C*-algebras in the case of higher roots of unity and thereby completely determine the K-theory for ring C*-algebras attached to rings of integers in arbitrary number fields.Comment: 26 pages, final version, accepted for ...
L Ück, Wolfgang, Xin Li
core   +2 more sources

The ring of integers in the canonical structures of the plane

Boletim da Sociedade Paranaense de Matemática
The canonical structures of the plane are those that result, up to isomorphism, from the rings that have the form $\mathds{R}[x]/(ax^2+bx+c)$ with $a\neq 0$. That ring is isomorphic to $\mathds{R}[\theta]$, where $\theta$ is the equivalence class of x, which satisfies $\theta^2 = \left( -\dfrac{c}{a} \right) + \theta \left(-\dfrac{b}{a}\right)$. On the
Cifuente, José C., Strapasson, João E., Corrêa, Ana C., Kitani, Patrícia M.   +3 more
openaire   +2 more sources

Functional Disorder at the Neural Interface: How Disordered Nanostructures Promote Proper Growth and Differentiation in In Vitro Neural Cultures

Advanced Science, EarlyView.
This work provides a practical guide for neuroengineers to design advanced neural interfaces, embracing and tailoring the concept of functional disorder. By bridging 2D and 3D in vitro models, this work highlights how non‐periodic, spatially heterogeneous, multiscale nanotopography can enable more physiologically relevant platforms for studying neural ...
F. Maita, E. Palmieri, I. Lucarini, L. Montaina, L. Maiolo   +4 more
wiley   +1 more source

Power Bases for Cyclotomic Integer Rings

Journal of Number Theory, 1998
Let \(p\) be an odd prime, \(\xi\) a primitive \(p\)-th root of unity and \({\mathcal O}_p\) the ring of integers of the cyclotomic field \(\mathbb{Q}(\xi)\). It is a classical problem to investigate power integral bases in \(\mathbb{Q}(\xi)\), that is to determine all \(\alpha\) such that \({\mathcal O}_p=\mathbb{Z}[\alpha]\) or equivalently \(\{ 1 ...
openaire   +1 more source

Buried Unstrained Germanium Channels: A Lattice‐Matched Platform for Quantum Technology

Advanced Science, EarlyView.
ABSTRACT Strained germanium (ε$\varepsilon$‐Ge) and strained silicon (ε$\varepsilon$‐Si) buried quantum wells have enabled advanced spin‐qubit quantum processors. However, in the absence of suitable lattice‐matched substrates, ε$\varepsilon$‐Ge and ε$\varepsilon$‐Si are deposited on defective, metamorphic SiGe buffers, which may impact device ...
Davide Costa, Patrick Del Vecchio, Karina Hudson, Lucas E. A. Stehouwer, Alberto Tosato, Davide Degli Esposti, Vladimir Calvi, Luca Moreschini, Mario Lodari, Stefano Bosco, Giordano Scappucci   +10 more
wiley   +1 more source