Results 81 to 90 of about 114,538 (286)
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
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
Complete residue systems in the ring of matrices of rational integers
International Journal of Mathematics and Mathematical Sciences, 1978 This paper deals with the characterizations of the complete residue system mod. G, where G is any n×n matrix, in the ring of n×n matrices.
Jau-Shyong Shiue, Chie-Ping Hwang
doaj +1 more source
Elimination theory for the ring of algebraic integers.
Journal für die reine und angewandte Mathematik (Crelles Journal), 1988 Let \(\mathcal R\) be the ring of all algebraic integers, \(\mathcal R\subset\mathbb C\). The author proves the following elimination theorem: Each elementary problem about \(\mathcal R\) can be effectively reduced to a finite number of ideal membership questions about the algebraic integers constructed by a simple algorithm from the parameters of the ...
openaire +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
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
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
A categorification of cyclotomic rings
, 2018 For any natural number $n \geq 2$, we construct a triangulated monoidal category whose Grothendieck ring is isomorphic to the ring of cyclotomic integers $\mathbb{O}_n$.Comment: 28 pages. Comments welcome!
Laugwitz, Robert, Qi, You
core
Lenstra-Hurwitz Cliques In Real Quadratic Fields [PDF]
, 2018 Let $K$ be a number field and let $\OO_K$ denote its ring of integers. We can define a graph whose vertices are the elements of $\OO_K$ such that an edge exists between two algebraic integers if their difference is in the units $\OO_K^{\times}$.
Lopez, Daniel S
core +1 more source
DNA Replication Errors Drive Genome‐Wide Small Inverted Triplication Dynamics
Advanced Science, EarlyView.This study provides insight into the dynamic equilibrium mechanism of a novel structural variant, small inverted triplication (SIT), which is generated by misalignment of the 3’ flap generated under DNA replication stress with palindromic sequence. Alternatively, the end sequence may fold back on itself to form an inverted fragment.
Yi Lei +12 more
wiley +1 more source