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Quaternions and matrices of quaternions
Linear Algebra and Its Applications, 1997 We give a brief survey on quaternions and matrices of quaternions, present new proofs for certain known results, and discuss the quaternionic analogues of complex matrices.
Fuzhen Zhang
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Generalized commutative quaternions of the Fibonacci type
Boletin De La Sociedad Matematica Mexicana, 2021 Quaternions are a four-dimensional hypercomplex number system discovered by Hamilton in 1843 and next intensively applied in mathematics, modern physics, computer graphics and other fields.
Anetta Szynal-Liana, Iwona Włoch
exaly +2 more sources
On Generalized Fibonacci Quaternions and Fibonacci-Narayana Quaternions
Advances in Applied Clifford Algebras, 2013 In this paper, we investigate some properties of generalized Fibonacci quaternions and Fibonacci-Narayana quaternions.Comment: Accepted in Adv. in Appl.
Cristina Flaut, Vitalii S Shpakivskyi
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3-Parameter Generalized Quaternions [PDF]
Computational methods in Function Theory, 2021 In this article, we give a general form of the quaternions algebra depending on 3-parameters. We define 3-parameter generalized quaternions (3PGQs) and study various properties and applications.
Tuncay Deniz Şentürk, Zafer Ünal
semanticscholar +1 more source
Quaternions in Signal and Image Processing: A comprehensive and objective overview
IEEE Signal Processing Magazine, 2023 Quaternions are still largely misunderstood and often considered an “exotic” signal representation without much practical utility despite the fact that they have been around the signal and image processing community for more than 30 years now.
Sebastian Miron +4 more
semanticscholar +1 more source
QuatRE: Relation-Aware Quaternions for Knowledge Graph Embeddings [PDF]
The Web Conference, 2020 We propose a simple yet effective embedding model to learn quaternion embeddings for entities and relations in knowledge graphs. Our model aims to enhance correlations between head and tail entities given a relation within the Quaternion space with ...
D. Q. Nguyen +3 more
semanticscholar +1 more source
Dual quaternions and dual quaternionic curves [PDF]
Filomat, 2019 After a brief review of the different types of quaternions, we develop a new perspective for dual quaternions with dividing two parts. Due to this new perspective, we will define the isotropic and nonisotropic dual quaternions. Then we will also give the basic algebraic concepts about the dual quaternions. Moreover, we define isotropic dual
Dagdeviren, Ali, Yuce, Salim
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Quaternionic Integrability [PDF]
Journal of Nonlinear Mathematical Physics, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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International Journal of Pure and Apllied Mathematics, 2014 Physics is in its development a major challenge to relate fields, this paper presents a proposal to relate classical fields of physics, ie the electric field, magnetic field and gravitational equations by time-dependent. The proposal begins with the work that determines the Cauchy-Riemann conditions for quaternions [1], and the determination of Laplace’
Marão, José Antonio Pires +1 more
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Communications in Mathematical Physics, 1996 We present the simplest non-abelian version of Seiberg-Witten theory: Quaternionic monopoles. These monopoles are associated with Spin^h(4)-structures on 4-manifolds and form finite-dimensional moduli spaces. On a Kahler surface the quaternionic monopole equations decouple and lead to the projective vortex equation for holomorphic pairs.
Okonek, Christian, Teleman, Andrei
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