Results 121 to 130 of about 355,626 (313)

Initial State Privacy of Nonlinear Systems on Riemannian Manifolds

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT In this paper, we investigate initial state privacy protection for discrete‐time nonlinear closed systems. By capturing Riemannian geometric structures inherent in such privacy challenges, we refine the concept of differential privacy through the introduction of an initial state adjacency set based on Riemannian distances.
Le Liu, Yu Kawano, Antai Xie, Ming Cao
wiley   +1 more source

Lie triple maps on generalized matrix algebras

, 2021
In this article, we introduce the notion of Lie triple centralizer as follows. Let $\mathcal{A}$ be an algebra, and $ :\mathcal{A}\to\mathcal{A}$ be a linear mapping. we say $ $ is a Lie triple centralizer whenever $ ([[a,b],c])=[[ (a),b],c]$ for all $a,b,c\in\mathcal{A}$.
openaire   +2 more sources

Generalized Fuzzy Torus and its Modular Properties

Symmetry, Integrability and Geometry: Methods and Applications, 2013
We consider a generalization of the basic fuzzy torus to a fuzzy torus with non-trivial modular parameter, based on a finite matrix algebra. We discuss the modular properties of this fuzzy torus, and compute the matrix Laplacian for a scalar field.
Paul Schreivogl, Harold Steinacker
doaj   +1 more source

Exact solution of the trigonometric SU(3) spin chain with generic off-diagonal boundary reflections

Nuclear Physics B, 2016
The nested off-diagonal Bethe ansatz is generalized to study the quantum spin chain associated with the SUq(3) R-matrix and generic integrable non-diagonal boundary conditions.
Guang-Liang Li, Junpeng Cao, Kun Hao, Fakai Wen, Wen-Li Yang, Kangjie Shi   +5 more
doaj   +1 more source

A Cascaded Strategy With Embodied Artificial Intelligence: Forward Kinematics Solutions for CCRobot‐S

Journal of Field Robotics, EarlyView.
ABSTRACT This paper presents a novel cable‐climbing mechanism: the Collaborative Climbing Robot Squad (CCRobot‐S), a variant of Reconfigurable Cable‐Driven Parallel Robots (R‐CDPR), specifically designed for the inspection and maintenance of stay cables.
Zhenliang Zheng, Yongyuan Xu, Xuchun He, Tin Lun Lam, Ning Ding   +4 more
wiley   +1 more source

The Elliptic GL(n) Dynamical Quantum Group as an 𝔥-Hopf Algebroid

International Journal of Mathematics and Mathematical Sciences, 2009
Using the language of 𝔥-Hopf algebroids which was introduced by Etingof and Varchenko, we construct a dynamical quantum group, ℱell(GL(n)), from the elliptic solution of the quantum dynamical Yang-Baxter equation with spectral parameter ...
Jonas T. Hartwig
doaj   +1 more source

A System of Four Generalized Sylvester Matrix Equations over the Quaternion Algebra

Mathematics
In this paper, we make use of the simultaneous decomposition of eight quaternion matrices to study the solvability conditions and general solutions to a system of two-sided coupled Sylvester-type quaternion matrix equations AiXiCi+BiXi+1Di=Ωi,i=1,2,3,4 ...
Zhuo-Heng He, Jie Tian, Shao-Wen Yu
doaj   +1 more source

Universal character, phase model and topological strings on $$\pmb {\mathbb {C}^3}$$ C3

European Physical Journal C: Particles and Fields, 2019
In this paper, we consider two different subjects: the algebra of universal characters $$S_{[\lambda ,\mu ]}(\mathbf{x},\mathbf{y})$$ S[λ,μ](x,y) (a generalization of Schur functions) and the phase model of strongly correlated bosons.
Na Wang, Chuanzhong Li
doaj   +1 more source

Enhancing generalized spectral clustering with embedding Laplacian graph regularization

CAAI Transactions on Intelligence Technology, EarlyView.
Abstract An enhanced generalised spectral clustering framework that addresses the limitations of existing methods by incorporating the Laplacian graph and group effect into a regularisation term is presented. By doing so, the framework significantly enhances discrimination power and proves highly effective in handling noisy data.
Hengmin Zhang, Jian Yang, Bob Zhang, Yang Tang, Wenli Du, Bihan Wen   +5 more
wiley   +1 more source

Optimising Wave Energy Plant Location Through Neutrosophic Multi‐Criteria Group Decision‐Making

CAAI Transactions on Intelligence Technology, EarlyView.
ABSTRACT The global shift towards sustainable energy has intensified research into renewable sources, particularly wave energy. Pakistan, with its long coastline, holds significant potential for wave energy development. However, identifying optimal locations for wave energy plants involves evaluating complex, multi‐faceted criteria.
Hafiz Muhammad Athar Farid, Ayesha Razzaq, Muhammad Riaz, Tapan Senapati, Sarbast Moslem   +4 more
wiley   +1 more source