Results 161 to 170 of about 2,410,088 (276)

On Inner Derivations of Leibniz Algebras

Mathematics
Leibniz algebras are generalizations of Lie algebras. Similar to Lie algebras, inner derivations play a crucial role in characterizing complete Leibniz algebras.
Sutida Patlertsin, Suchada Pongprasert, Thitarie Rungratgasame   +2 more
doaj   +1 more source

A Complex‐Frequency Framework for Kerker Unidirectionality in Photonic Resonators

Laser &Photonics Reviews, EarlyView.
ABSTRACT Electromagnetic scattering exhibits various anomalous behaviors, such as forward or backward scattering effects known as the Kerker conditions. These anomalies appear in non‐Hermitian photonic resonators and are mathematically described by operators with complex eigenfrequencies.
Loubnan Abou Hamdan, Aloke Jana, Rémi Colom, Nour Abouyoussef, Cooper Carlson, Adam Overvig, Felix Binkowski, Sven Burger, Patrice Genevet   +8 more
wiley   +1 more source

Generating Helical Polymorphic Beams Using Dielectric Metasurfaces

Laser &Photonics Reviews, EarlyView.
Helix‐shaped polymorphic beams are optical fields whose intensity maxima spiral around the propagation axis, enabling particle manipulation through attractive or repulsive forces. Traditionally requiring expensive spatial light modulators, metasurfaces now provide a compact, cost‐effective alternative. This work demonstrates general helical polymorphic
Maryam Setareh, Yang Xu, Jose A. Rodrigo, Kenneth B. Crozier   +3 more
wiley   +1 more source

The Lie Lie algebra

, 2015
Version 3 incorporates several suggestions from the referee. The abstract and introduction have been rewritten to be more user-friendly.
openaire   +2 more sources

A Boothby–Wang Construction in Generalized Contact Geometry

Mathematische Nachrichten, EarlyView.
ABSTRACT We establish a generalized analogue of the Boothby–Wang theorem in generalized contact geometry, along with related results. We present a general method for constructing examples of generalized contact structures that are not of Poon–Wade type, and even examples that fail to be generalized contact structures.
Debjit Pal
wiley   +1 more source

Nonconstant Positive Steady States for a Predator–Prey System With Signal‐Dependent Diffusion

Mathematische Nachrichten, EarlyView.
ABSTRACT This paper investigates a highly nonlinear predator–prey reaction–diffusion system featuring signal‐dependent prey diffusion, where the motility of the prey is modulated by a chemical signal released by predators. For unbounded functional responses, we establish the global‐in‐time existence and uniform‐in‐time boundedness of classical ...
Qigang Deng, Hao Shen, Ranchao Wu, Hao Wang   +3 more
wiley   +1 more source

An efficient deep learning model for brain tumour detection with privacy preservation

CAAI Transactions on Intelligence Technology, EarlyView., 2023
Abstract Internet of medical things (IoMT) is becoming more prevalent in healthcare applications as a result of current AI advancements, helping to improve our quality of life and ensure a sustainable health system. IoMT systems with cutting‐edge scientific capabilities are capable of detecting, transmitting, learning and reasoning.
Mujeeb Ur Rehman, Arslan Shafique, Imdad Ullah Khan, Yazeed Yasin Ghadi, Jawad Ahmad, Mohammed S. Alshehri, Mimonah Al Qathrady, Majed Alhaisoni, Muhammad H. Zayyan   +8 more
wiley   +1 more source

Graded Differential Polynomial Rings

Mathematische Nachrichten, EarlyView.
ABSTRACT We study differential polynomial rings R[t;δ]$R[t;\delta]$ over Γ$\Gamma$‐graded rings, where Γ$\Gamma$ is an arbitrary group. We show that R[t;δ]$R[t;\delta]$ admits a Γ$\Gamma$‐grading compatible with that of R$R$ if and only if δ$\delta$ is a γ$\gamma$‐derivation for some γ∈CΓ(ΓR)$\gamma \in C_\Gamma (\Gamma _R)$, and that this grading is ...
Yassine Ait Mohamed
wiley   +1 more source

How Much to Sell and When: Optimal Staged Divestiture of Patent‐Linked Royalty Claims Under Risk, Illiquidity, and Finite Horizon

Managerial and Decision Economics, EarlyView.
ABSTRACT Patent owners can sell a royalty interest in stages rather than all at once. This paper asks how much to sell now when claim values are uncertain, buyers are costly to reach, and patent expiry limits the time available. A decision model produces sale schedules that adjust to current value, the share retained, and time remaining.
Andreas Peters
wiley   +1 more source

Characterizing Lie Algebra Structure via the Commutativity Degree

Journal of Mathematics
The aim of this paper is to determine the possible values of the commutativity degree of Lie algebras. We define the asymptotic commutativity degree of Lie algebras and obtain the asymptotic commutativity degree for some of them.
Afsaneh Shamsaki, Ahmad Erfanian, Mohsen Parvizi   +2 more
doaj   +1 more source