Results 11 to 20 of about 519 (128)

Symmetry-Imposed Selection Rules for Excitations of Nontrivial Plasmonic Topologies. [PDF]

Adv Sci (Weinh)
A unified group‐theory selection rule governs the excitation of vectorial nearfield topologies across three plasmonic spin states. Derived from first principles, it predicts spin–orbit vortex splitting and multidimensional nested vortices, confirmed by phase‐resolved in situ measurements.
Yang J, Feng P, Han F, Chen W, Jin Z, Ni J, Yang Y, Zhang A, Vandenbosch GAE, Verellen N, Janssens E, Wang J, Bai B, Qiu CW, Zheng X.   +14 more
europepmc   +2 more sources

A Graph-Based Machine Learning Framework to Assign Empirical Interaction Parameters for Novel Molecules. [PDF]

J Comput Chem
Quantum chemical methods of force field parameterization such as the Seminario method encountercompute limitations at large scales. We present a GNN framework that outperforms the Seminario method by 34% in reproducing infrared bond frequencies across prevalent functional groups, and is up to seven orders of magnitude faster on larger molecules ...
Fu Y, Stroet M, O'Mara ML.
europepmc   +2 more sources

A Remark on the Energy Bounds and Degree-Based Topological Indices of the Zero-Divisor Graph ℤₚ[x]/⟨x⁴⟩

Science and Technology Indonesia
The zero-divisor graph of a commutative ring, Γ(R), is a prominent subject in graph theory. Previous research has investigated the energy and topological indices of Γ(ℤₚ[x]/⟨x⁴⟩) for any prime p; however, errors were identified in the characteristic ...
Vira Hari Krisnawati, Ayunda Faizatul Musyarrofah, Ari Andari   +2 more
doaj   +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

Digraph and Graph of Regular Rings with Some Properties

مجلة بغداد للعلوم
During this century, a new research trend has emerged wherein algebraic concepts are combined with graph theory, such as zero divisors, clean rings, ideals, and regular rings.
Shahla Moayad Kaleel, Haitham Nashwan Mohammed, Ahmad Mohammed Alghamdi, Ahmed Mohammed Ali, Eman Sultan Almotairi   +4 more
doaj   +1 more source

Matrix invertible extensions over commutative rings. Part I: General theory

Journal of Pure and Applied Algebra
Accepted for publication in final form (18 pages) in J. Pure Appl. Algebra on Nov. 18, 2024.
Grigore Călugăreanu, Horia F. Pop, Adrian Vasiu   +2 more
openaire   +2 more sources

Artificial Intelligence for Advanced Functional Materials: Progress and Emerging Frontiers

Advanced Intelligent Systems, EarlyView.
Artificial intelligence is transforming the discovery of functional materials by linking synthesis, characterization, simulation, and design in unified workflows. Advances in machine learning, autonomous experimentation, and foundation models are accelerating innovation across energy, electronics, and biomedicine, while revealing new frontiers for ...
Cristiano Malica, Kostya S. Novoselov, Seongmin Kim, Yousung Jung, Silvana Botti, Miguel A. L. Marques, Tigany Zarrouk, Miguel A. Caro, Sanggyu Chong, Michele Ceriotti, Marivi Fernandez‐Serra, Sara Navarro‐Rodriguez, Aakash Ashok Naik, Janine George, Ömer Hasan Omar, Victor Trinquet, Gian‐Marco Rignanese, Andrey Ustyuzhanin, Sonia Conesa‐Boj, Juan Rojo, Minh‐Tuan Dau, Simon M.‐M. Dubois, Jean‐Christophe Charlier, Jose H. Garcia, Romain Gautier, Rachid Laref, Junfeng Qiao, Giovanni Pizzi, Nicola Marzari, Camilla Coletti, Antonio Rossi, Jan‐Lucas Uslu, Chiara Zanardi, Vincenzo Palermo, Wide Hogenhout, Natalia Konchakova, Peter Klein, Tejs Vegge, Stephan Roche   +38 more
wiley   +1 more source

Free summands of stably free modules

Forum of Mathematics, Sigma
Let R be a commutative ring. One may ask when a general R-module P that satisfies $P \oplus R \cong R^n$ has a free summand of a given rank. M. Raynaud translated this question into one about sections of certain maps between Stiefel varieties: if
Sebastian Gant, Ben Williams
doaj   +1 more source

Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley   +1 more source

Hilbert's Basis Theorem for Poisson Ore Extensions

Mathematische Nachrichten, EarlyView.
ABSTRACT We prove an analogue of Hilbert's basis theorem for Poisson Ore extensions and Poisson Laurent Ore extensions. We also obtain corresponding results for iterated Poisson Ore extensions and iterated Poisson Laurent Ore extensions associated to commuting Poisson‐pairs.
Per Bäck, Patrik Lundström, Johan Öinert, Johan Richter   +3 more
wiley   +1 more source