Results 41 to 50 of about 391,951 (282)

Cyclotomic matrices over the Eisenstein and Gaussian integers [PDF]

, 2012
We classify all cyclotomic matrices over the Eisenstein and Gaussian integers, that is, all Hermitian matrices over the Eisenstein and Gaussian integers that have all their eigenvalues in the interval [−2,2]
Greaves, Gary
core   +1 more source

Symbolic Regression and Multi‐Objective Optimization of the Flory–Huggins Interaction Parameter for Hydrogels

Advanced Engineering Materials, EarlyView.
We develop a data‐driven method to derive the mathematical expressions of the Flory–Huggins interaction parameter χ for the swelling behavior of temperature–responsive hydrogels. Starting from initial assumptions of χ, our workflow combines Bayesian optimization, Flory–Rehner theory, and symbolic regression to generate candidate χ expressions.
Yawen Wang, Adrian Ehrenhofer, Thomas Wallmersperger   +2 more
wiley   +1 more source

FastNano Liquid: An Automated Platform for Small‐Angle X‐ray Scattering‐Based Materials Discovery

Advanced Engineering Materials, EarlyView.
We present FastNano Liquid, an automated small‐ and wide‐angle X‐ray scattering platform for the combined synthesis and characterization of (nano)materials. The platform is coupled to varied reactor workflows for both in situ studies of reaction kinetics and ex situ screening of synthesis conditions to support machine learning‐guided exploration ...
Pierre‐Baptiste Flandrin, Émeline Cournède, Jens Krarup, Michael Lesa, Foyzul Hasan, Amandine Séné, Arnaud Lahouati, David Benhaiem, Jérémie‐Luc Sanchez, Simon Delacroix, Thierry Gacoin, Fabienne Testard, Damien Faivre, David Carriere, Corinne Chevallard, Olivier Taché, Mark A. Levenstein   +16 more
wiley   +1 more source

Memristive‐Gated RC‐Delay Synaptic Transistors for Time‐Encoded Analog in‐Memory Computing

Advanced Functional Materials, EarlyView.
A Memristive‐Gated Transistor for Time‐Encoded Analog In‐Memory Computing — By exploiting the RC delay of a self‐rectifying interface‐type memristor, nonlinear I–V distortion is structurally bypassed, enabling 3‐bit nonvolatile memory, spike‐timing‐based analog encoding, and hardware‐calibrated reservoir‐computing validation within a unified device ...
Yun‐Seo Shin, Eunjoo Yoo, Ki‐Hoon Son, Hyun‐Sik Kim, Dae‐Hee Han, Jeong Hyeon Son, Seung Hwan Lee, Hong‐Sub Lee   +7 more
wiley   +1 more source

On Generation of the Group $PGL_n(\mathbb{Z}+i\mathbb{Z})$ by Three Involutions, Two of which Commute

Известия Иркутского государственного университета: Серия "Математика"
The results of the paper relate to the following general problem. Find natural finite generating  sets of elements of a given linear group over a finitely generated commutative ring.
Ya.N. Nuzhin, T. B. Shaipova
doaj   +1 more source

The Fermat-type equation with signature (2, 2, n) and Bunyakovsky conjecture

Songklanakarin Journal of Science and Technology (SJST), 2022
We first discuss the Fermat-type equation with signature (2, 𝑚, 𝑛), which is the Diophantine equation in the shape 𝑥 2 + 𝑦 𝑚 = 𝑧 𝑛 , where 𝑥, 𝑦 and 𝑧 are unknown integers, and 𝑚, 𝑛 are fixed positive integers greater than 1.
Sawian Jaidee, Korakot Saosoong
doaj   +1 more source

Quadratic reciprocity for the rational integers and the Gaussian integers [PDF]

, 2010
This thesis begins by giving a brief time line of the origins of Number Theory. It highlights the big theorems that have been constructed in this subject, along with the mathematicians who constructed them.
Buck, Nancy, NC DOCKS at The University of North Carolina at Greensboro   +1 more
core  

Accelerated Discovery of Topological Spin Phase Diagrams in CrSBr Magnets Via High‐Throughput Optimization

Advanced Functional Materials, EarlyView.
Here, we develop a high‐throughput algorithm that accelerates the elucidation of phase diagrams of topological spin textures using limited computational resources at high numerical accuracy. Applying this framework to the van der Waals magnet CrSBr, we unveiled a hierarchy of previously unknown topological textures (domain‐wall bimerons, bimeron chains,
Andrew Lyall, Mohammad H. Badarneh, Cristian Bonato, Rebecca Cheung, Elton J. G. Santos   +4 more
wiley   +1 more source

On the Irreducibility of Polynomials Associated with the Complete Residue Systems in any Imaginary Quadratic Fields

International Journal of Mathematics and Mathematical Sciences, 2021
For a Gaussian prime π and a nonzero Gaussian integer β=a+bi∈ℤi with a≥1 and β≥2+2, it was proved that if π=αnβn+αn−1βn−1+⋯+α1β+α0≕fβ where n≥1, αn∈ℤi\0, α0,…,αn−1 belong to a complete residue system modulo β, and the digits αn−1 and αn satisfy certain ...
Phitthayathon Phetnun, Narakorn Rompurk Kanasri, Patiwat Singthongla   +2 more
doaj   +1 more source

Laser‐Induced Local De‐Doping in Organic Semiconductors

Advanced Materials Technologies, EarlyView.
The polymer PBTTT‐C14 doped with the small molecule acceptor F4TCNQ is considered as a benchmark material system. Mask‐free, microscale patterning of the doping level via laser‐induced heating and sublimation of dopant molecules is shown. Controlling laser irradiance and swath spacing allows dopant level control with laser‐limited resolution, opening ...
Christian Rainer, Aleksandr Perevedentsev, Daniel Ryklin, Rasmus R. Schröder, Gerardo Hernandez‐Sosa, Uli Lemmer   +5 more
wiley   +1 more source