Results 61 to 70 of about 3,769 (264)

Non-finitary Generalizations of Nil-triangular Subalgebras of Chevalley Algebras

Известия Иркутского государственного университета: Серия "Математика", 2019
Let $N\Phi(K)$ be a niltriangular subalgebra of Chevalley algebra over a field or ring $K$ associated with root system $\Phi$ of classical type. For type $A_{n-1}$ it is associated to algebra $NT(n,K)$ of (lower) nil-triangular $n \times n$- matrices ...
J. V. Bekker, V. M. Levchuk, E. A. Sotnikova   +2 more
doaj   +1 more source

Development of a Disease Activity Index for the Assessment of VEXAS Syndrome (VEXAS‐DAI)

Arthritis Care &Research, Accepted Article.
Objective VEXAS syndrome is characterized by a complex spectrum of inflammatory and hematologic manifestations. Clinical research to identify effective therapies is urgently needed but is hindered by the lack of validated outcome measures. A VEXAS‐specific disease activity index (DAI) is an essential tool for reliably capturing changes in disease ...
Kevin Byram, Heřman Mann, Danielle Hammond, Onima Chowdhury, Sinisa Savic, Yohei Kirino, Carmelo Gurnari, Maël Heiblig, Thibault Comont, Arsène Mekinian, Mrinal M. Patnaik, Lachelle D. Weeks, Gary Ho, Adam Al‐Hakim, Scott Goldberg, Marcela A. Ferrada, Sophie Georgin‐Lavialle, Peter C. Grayson, Emma M. Groarke, Bhavisha Patel, Megan Sullivan, Sarah A. Buckley, Bryan G. Harder, Raman Garcha, David B. Beck, Matthew J. Koster   +25 more
wiley   +1 more source

A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems

International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam, Anthony Siming Chen, Guido Herrmann   +2 more
wiley   +1 more source

Maple Encoding of Optimal Systems for Solvable Lie Algebras

Mathematics
This paper presents a Maple code for the systematic computation of optimal systems of solvable Lie algebras, built on an ideal based algorithmic framework.
Nimra Sher Asghar, Hassan Azad, Tooba Feroze   +2 more
doaj   +1 more source

REMARKS ON GENERALIZED DERIVATIONS IN ∗−PRIME RINGS [PDF]

Journal of Algebraic Systems
Let (R, ∗) be a ∗−prime ring with characteristic different from two, and L ̸= 0be a square closed ∗−Lie ideal of R. An additive mapping F : R −→ R is calleda generalized derivation on R if there exists a derivation d : R −→ R such thatF(xy) = F(x)y + xd ...
Radwan Al-omary
doaj   +1 more source

Adaptive Observer for Coupled Wave PDE and Infinite ODE With Sampled Data and Unknown Input: Application to Brain Hemodynamics Estimation

International Journal of Adaptive Control and Signal Processing, EarlyView.
This article proposes a convergent adaptive observer for a damped wave PDE and an infinite‐dimensional ODE coupled in cascade using sampled‐in‐space ODE state measurements. The proposed observer estimates the distributed states of the PDE and ODE along with unknown PDE parameters and spatial input.
Zehor Belkhatir, Sarah Mechhoud, Taous‐Meriem Laleg‐Kirati   +2 more
wiley   +1 more source

Revisiting Stability Criteria in Ball‐Milled High‐Entropy Alloys: Do Hume–Rothery and Thermodynamic Rules Equally Apply?

Advanced Engineering Materials, Volume 27, Issue 6, March 2025.
The stability criteria affecting the formation of high‐entropy alloys, particularly focusing in supersaturated solid solutions produced by mechanical alloying, are analyzed. Criteria based on Hume–Rothery rules are distinguished from those derived from thermodynamic relations. The formers are generally applicable to mechanically alloyed samples.
Javier S. Blázquez, Alejandro F. Manchón‐Gordón, Antonio Vidal‐Crespo, Rafael Caballero‐Flores, Jhon J. Ipus, Clara F. Conde   +5 more
wiley   +1 more source

Variable Stiffness Flexure Structures Enabled by Phase‐Change Gallium and Adhesive Interfacial Locking for Soft Robotic Applications

Advanced Engineering Materials, EarlyView.
A flexure‐based variable stiffness structure is developed by integrating phase‐change modulation and adhesive interfacial locking of gallium. The design enables a wide stiffness variability, transitioning from soft, flexible behavior to rigid, load‐supporting performance.
Sungjin Kim, Sohee John Yoon, Yong‐Lae Park   +2 more
wiley   +1 more source

Strong commutativity preserving derivations on Lie ideals of prime Γ-rings [PDF]

Mathematica Moravica, 2019
Let M be a Γ-ring and S ⊆ M. A mapping f : M → M is called strong commutativity preserving on S if [f(x), f(y)]α = [x, y]α, for all x, y ∈ S, α ∈ Γ. In the present paper, we investigate the commutativity of the prime Γ-ring M of characteristic not 2 with
Arslan Okan, Arslan Berna
doaj  

Derivations with nilpotent values on Lie ideals [PDF]

Proceedings of the American Mathematical Society, 1990
Let R be a ring containing no non-zero nil right ideal, d be a derivation of R and U be a Lie ideal of R such that d(x) is nilpotent for all \(x\in U\). Let I be the ideal of R generated by [U,U]. The main result is that \(d(I)=0\) and that R is the subdirect sum of two images \(R_ i\) with derivations \(d_ i\) induced by d, \(i=1,2\), such that \(d_ 1=
openaire   +1 more source