Results 211 to 220 of about 19,319 (303)

Double-Color-Image Compression-Encryption Algorithm Based on Quaternion Multiple Parameter DFrAT and Feature Fusion with Preferable Restoration Quality. [PDF]

Entropy (Basel), 2022
Xiao M, Tan R, Ye H, Gong L, Zhu Z.
europepmc   +1 more source

Hodge Structures of Shimura Varieties Attached to the Unit Groups of Quaternion Algebras [PDF]

, 2018
Takayuki Oda
openalex   +1 more source

A Geometric Interpretation for the Algebraic Properties of Second‐Order Ordinary Differential Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.
ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis, S. Moyo, P. G. L. Leach   +2 more
wiley   +1 more source

Co-rotational 3D shell element using quaternion algebra to account for large rotations: Static and dynamic applications

Forces in Mechanics
This paper presents a new co-rotational shell element based on quaternion algebra as a means of parameterizing large rotations. The co-rotational framework is suitable for beam or shell elements and has been extensively studied in the literature.
Stéphane Grange, David Bertrand
doaj  

On the Construction of Confidence Regions for Uncertain Planar Displacements. [PDF]

J Mech Robot
Yu Z, Ge QJ, Langer MP, Arbab M.
europepmc   +1 more source

An Algorithm for the Factorization of Split Quaternion Polynomials. [PDF]

Adv Appl Clifford Algebr, 2021
Scharler DF, Schröcker HP.
europepmc   +1 more source

Quaternion types of Clifford algebra elements, basis-free approach

, 2011
Dmitry Shirokov
openalex   +2 more sources

Analysis of the Generalized Ostrovsky Equation in the Propagation of Surface and Internal Waves in Rotating Fluids

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The Ostrovsky equation models long, weakly nonlinear waves, explaining the propagation of surface and internal waves in a rotating fluid. The study focuses on the generalized Ostrovsky equation. Introduced by Levandosky and Liu, this equation demonstrates the existence of solitary waves through variational methods.
Sol Sáez
wiley   +1 more source

Perturbation analysis of matrices over a quaternion division algebra

, 2021
Sk. Safique Ahmad, Istkhar Ali, Ivan Slapničar   +2 more
openalex   +1 more source

Quaternion algebras

Duke Mathematical Journal, 1948
openaire   +2 more sources