Results 61 to 70 of about 216,282 (303)

Subalgebras of matrix algebras generated by companion matrices

Linear Algebra and its Applications, 2010
Let $f,g\in Z[X]$ be monic polynomials of degree $n$ and let $C,D\in M_n(Z)$ be the corresponding companion matrices. We find necessary and sufficient conditions for the subalgebra $Z< C,D>$ to be a sublattice of finite index in the full integral lattice $M_n(Z)$, in which case we compute the exact value of this index in terms of the resultant of
Guersenzvaig, N.H., Szechtman, Fernando
openaire   +2 more sources

Generalized Onsager Algebras [PDF]

Algebras and Representation Theory, 2018
Let g(A)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathfrak {g}(A)$\
J. Stokman
semanticscholar   +1 more source

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

Generalized Kinematics Analysis of Hybrid Mechanisms Based on Screw Theory and Lie Groups Lie Algebras

Chinese Journal of Mechanical Engineering, 2021
Advanced mathematical tools are used to conduct research on the kinematics analysis of hybrid mechanisms, and the generalized analysis method and concise kinematics transfer matrix are obtained.
Peng Sun, Yanbiao Li, Ke Chen, Wentao Zhu, Qi Zhong, Bo Chen   +5 more
doaj   +1 more source

Meromorphic Lax representations of (1+1)-dimensional multi-Hamiltonian dispersionless systems

, 2005
Rational Lax hierarchies introduced by Krichever are generalized. A systematic construction of infinite multi-Hamiltonian hierarchies and related conserved quantities is presented. The method is based on the classical R-matrix approach applied to Poisson
Błażej M. Szablikowski, Dorfmann I., Dubrovin B., Maciej Błaszak   +3 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

On n-derivations of generalized matrix algebras

Miskolc Mathematical Notes
In this article, we study ...
Aisha Jabeen
doaj   +1 more source

The Recursive Forward Dynamics of Flexible Mechanical Systems

MATEC Web of Conferences, 2016
Lie groups and Lie algebras are used to study the recursive dynamics of flexible multi-body systems. First the adjoint transformations and adjoint operators of Lie groups and Lie algebras are discussed.
Shao Bing, Yuan Entao
doaj   +1 more source

A compatibility criterion for optimal control and information aggregation in hierarchical network systems

Asian Journal of Control, EarlyView.
Abstract Large swarms often adopt a hierarchical network structure that incorporates information aggregation. Although this approach offers significant advantages in terms of communication efficiency and computational complexity, it can also lead to degradation due to information constraints.
Kento Fujita, Daisuke Tsubakino
wiley   +1 more source

On fundamental domains and volumes of hyperbolic Coxeter-Weyl groups

, 2011
We present a simple method for determining the shape of fundamental domains of generalized modular groups related to Weyl groups of hyperbolic Kac-Moody algebras.
A. Kleinschmidt, A.J. Feingold, A.J. Feingold, Hermann Nicolai, J. Fuchs, J.E. Humphreys, M. Brion, Michael Koehn, N. Johnson, N.I. Lobachevsky, Philipp Fleig, T. Damour, T.M. Apostol, V. Baldoni, V.G. Kac   +14 more
core   +1 more source