Results 101 to 110 of about 5,453 (309)
Consensus Formation and Change are Enhanced by Neutrality
Advanced Science, EarlyView.Neutral agents are shown to enhance both the formation and overturning of consensus in collective decision‐making. A general mathematical model and experiments with locusts and humans reveal that neutrality enables robust consensus via simple interactions and accelerates consensus change by reducing effective population size.
Andrei Sontag +3 more
wiley +1 more source
Automorphisms of 𝑆𝐿₂ of imaginary quadratic integers [PDF]
, 1991 We determine the outer automorphism groups of the two-dimensional special linear and projective special linear groups of the ring of integers in an imaginary quadratic field.
John Smillie, Karen Vogtmann
core +1 more source
A Perspective on Interactive Theorem Provers in Physics
Advanced Science, EarlyView.Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley +1 more source
Secret sharing in a special linear group
InformatikaObjectives. The problem of developing the mathematical foundations of modular secret sharing in a special linear group over the ring of integers is being solved.The relevance of the problem is reduced to the fact that a large number of requirements are ...
V. I. Yanchevskiĭ +2 more
doaj +1 more source
The ring of integers in the canonical structures of the plane
Boletim da Sociedade Paranaense de MatemáticaThe 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. +3 more
openaire +2 more sources
Correcting matrix products over the ring of integers [PDF]
Let $A$, $B$, and $C$ be three $n\times n$ matrices. We investigate the problem of verifying whether $AB=C$ over the ring of integers and finding the correct product $AB$.
Wang, Hung-Lung, Wu, Yu-Lun
core +2 more sources
Perspective: Hollow Core Optical Fibres for Ultraviolet and Visible Wavelengths
Advanced Science, EarlyView.Hollow core optical fibres bypass material constraints that limit optical fibres at ultraviolet and visible wavelengths. However, their challenging fabrication has limited their development, and significant gains in performance remain possible. In this perspective we outline approaches to enable the next generation of fibres for shorter wavelengths ...
Robbie Mears +5 more
wiley +1 more source
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
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
Advanced Science, EarlyView.Laser‐induced graphene (LIG) provides a scalable, laser‐direct‐written route to porous graphene architecture with tunable chemistry and defect density. Through heterojunction engineering, catalytic functionalization, and intrinsic self‐heating, LIG achieves highly sensitive and selective detection of NOX, NH3, H2, and humidity, supporting next ...
Md Abu Sayeed Biswas +6 more
wiley +1 more source