Results 1 to 10 of about 1,252,315 (243)

4-quasiplanar mappings of almost quaternion and semi-quaternion manifolds

Pracì Mìžnarodnogo Geometričnogo Centru, 2015
We  investigate special type mappings of Riemannian spaces with almost and semi-quaternion ...
Ирина Николаевна Курбатова
doaj   +5 more sources

Solving Quaternion Linear System Based on Semi-Tensor Product of Quaternion Matrices

Symmetry, 2022
In this paper, we use semi-tensor product of quaternion matrices, L-representation of quaternion matrices, and GH-representation of special quaternion matrices such as quaternion (anti)-centrosymmetric matrices to solve the special solutions of ...
Xueling Fan, Zhao Jianli
exaly   +2 more sources

Projective lag synchronization for quaternion neural networks with semi-Markov switching and mixed delays via non-fragile sliding mode control

Systems Science and Control Engineering
This paper presents a comprehensive analysis of non-fragile projective lag synchronization (PLS) in semi-Markov jumping quaternion-valued neural networks (SMQVNNs) with complex delay structures, encompassing leakage delay, proportional delays, and ...
S Dharani
exaly   +3 more sources

The Rota-Baxter algebra structures on split semi-quaternion algebra

In this paper, we shall describe all the Rota-Baxter operators with any weight on split semi-quaternion algebra. Firstly, we give the matrix characterization of the Rota-Baxter operator on split semi-quaternion algebra. Then we give the corresponding matrix representations of all the Rota-Baxter operators with any weight on split semi-quaternion ...
Quanguo, Chen, Yong, Deng
openaire   +3 more sources

Solving the QLY Least Squares Problem of Dual Quaternion Matrix Equation Based on STP of Dual Quaternion Matrices

Symmetry
Dual algebra plays an important role in kinematic synthesis and dynamic analysis, but there are still few studies on dual quaternion matrix theory. This paper provides an efficient method for solving the QLY least squares problem of the dual quaternion ...
Ruyu Tao, Mingcui Zhang, Musheng Wei
exaly   +2 more sources

Semi‐supervised clustering of quaternion time series: Application to gait analysis in multiple sclerosis using motion sensor data [PDF]

Statistics in Medicine, 2023
Pierre Drouin, Aymeric Stamm, Pierre-Antoine Gourraud   +2 more
exaly   +2 more sources

Involutions in split semi‐quaternions

Mathematical Methods in the Applied Sciences, 2018
A map is an involution (resp, anti‐involution) if it is a self‐inverse homomorphism (resp, antihomomorphism) of a field algebra. The main purpose of this paper is to show how split semi‐quaternions can be used to express half‐turn planar rotations in 3‐dimensional Euclidean spaceand how they can be used to express hyperbolic‐isoclinic rotations in 4 ...
Murat Bekar, Yusuf Yayli
  +10 more sources

Spatial agents for geological surface modelling [PDF]

Geoscientific Model Development, 2021
Increased availability and use of 3D-rendered geological models have provided society with predictive capabilities, supporting natural resource assessments, hazard awareness, and infrastructure development.
E. A. de Kemp
doaj   +1 more source

Involutions in Semi-Quaternions [PDF]

Journal of Geometry and Symmetry in Physics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bekar, Murat, Yayli, Yusuf
openaire   +4 more sources

A Novel Polar Rapid Transfer Alignment for Shipborne SINS Under Arbitrary Misalignments

IEEE Access, 2020
The traditional polar rapid transfer alignment (RTA) are generally modeled under small angle misalignment assumption. Those linearized and nonlinear polar RTA error models presented, so far, are not capable of accurately representing the nonlinear ...
Jianhua Cheng, Jing Cai, Zhenmin Wang, Jiaxin Liu   +3 more
doaj   +1 more source