Results 81 to 90 of about 609,367 (341)

Quaternion constituents of group algebras [PDF]

Proceedings of the American Mathematical Society, 1971
In this paper it is shown that each quaternion division algebra central over the rationals appears as a division ring constituent of some rational group algebra.
openaire   +2 more sources

Predicting Postresection Colorectal Liver Metastases Recurrence Using Advanced Graph Neural Networks with Explainability and Causal Inference

Advanced Intelligent Systems, EarlyView.
This study introduces a framework that combines graph neural networks with causal inference to forecast recurrence and uncover the clinical and pathological factors driving it. It further provides interpretability, validates risk factors via counterfactual and interventional analyses, and offers evidence‐based insights for treatment planning ...
Jubair Ahmed, Md. Abdur Rahman, Mohaimenul Azam Khan Raiaan, Sami Azam   +3 more
wiley   +1 more source

Glimpses of the Octonions and Quaternions History and Todays Applications in Quantum Physics

, 2008
Before we dive into the accessibility stream of nowadays indicatory applications of octonions to computer and other sciences and to quantum physics let us focus for a while on the crucially relevant events for todays revival on interest to ...
A.K. Kwaśniewski, Andrzej Krzysztof Kwaśniewski, B.L. Waerden van der, Bremner Murray, C.C. Lassig, Dickson Leonard Eugene, G.H. Hardy, I.M. Yaglom, J. Rembieliski, J.A. Nieto, Jiang Tongsong, Jiang Tongsong, Jiang Tongsong, Jiang. Tongsong, Jiang. Tongsong, Jordan Pascual, L.P. Horwitz, Leo. Stefano De, Z. Hasiewicz, Z. Hasiewicz   +19 more
core   +2 more sources

Review of Memristors for In‐Memory Computing and Spiking Neural Networks

Advanced Intelligent Systems, EarlyView.
Memristors uniquely enable energy‐efficient, brain‐inspired computing by acting as both memory and synaptic elements. This review highlights their physical mechanisms, integration in crossbar arrays, and role in spiking neural networks. Key challenges, including variability, relaxation, and stochastic switching, are discussed, alongside emerging ...
Mostafa Shooshtari, Teresa Serrano‐Gotarredona, Bernabé Linares‐Barranco   +2 more
wiley   +1 more source

The criteria for automorphisms on finite-dimensional algebras

Electronic Research Archive
In this paper, we will establish a criterion for automorphisms of finite-dimensional algebras. As an application, we will describe all automorphisms of the single-parameter generalized quaternion algebra. Additionally, we will obtain all automorphisms of
Yanni Yang, Quanguo Chen
doaj   +1 more source

On free ring extensions of degree n

International Journal of Mathematics and Mathematical Sciences, 1981
Nagahara and Kishimoto [1] studied free ring extensions B(x) of degree n for some integer n over a ring B with 1, where xn=b, cx=xρ(c) for all c and some b in B(ρ=automophism of  B), and {1,x…,xn−1} is a basis.
George Szeto
doaj   +1 more source

Free groups in quaternion algebras

Journal of Algebra, 2013
10 pages, article presented in conferences: Algebra School, Brasilia-Brazil, Brasilia National University (july-2010); Summer 2009 Meeting of CMS in Groups and Hopf Algebras section, St. Jonh's-Canada, Memorial University of Newfoundland (June-2009); Groups, Rings and Group Rings, Ubatuba-Brazil (july-2008)
Juriaans, S.O., Souza Filho, A.C.
openaire   +2 more sources

Advanced Investigation of the Elimination of Methylene Blue From Wastewater Using Activated Carbon–Copper Oxide Nanowires: New Perspectives With Statistical Physical Modeling

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT In this study, the actual route of methylene blue (MB) dye adsorption by using fabricated polyfunctional activated carbon–copper oxide nanowires (AC@CuO‐NWs) from bulky wastewater bodies has been investigated. To better understand the exact pathway of the adsorption process, a prominent statistical physics formalism or grand canonical ...
Abdellatif Sakly, Nizar Lefi, Mohamed Bouzid, Salah Knani, Md. Mahmudur Rahman, Besma Graba, Sivarama Krishna Lakkaboyana, Abdelmottaleb Ben Lamine   +7 more
wiley   +1 more source

Universal Entanglement and an Information‐Complete Quantum Theory

Advanced Physics Research, EarlyView.
This Perspective summarize an informationcomplete quantum theory which describes a fully quantum world without any classical systems and concepts. Here spacetime/gravity, having to be a physical quantum system, universally entangles matter (matter fermions and their gauge fields) as an indivisible trinity, and encodes information‐complete physical ...
Zeng‐Bing Chen
wiley   +1 more source

Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation

Advanced Physics Research, EarlyView.
Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
wiley   +1 more source