Results 81 to 90 of about 56,344 (329)

A novel investigation of quaternion Julia and Mandelbrot sets using the viscosity iterative approach

Results in Control and Optimization
This paper presents a novel technique for visualizing quaternion Julia and Mandelbrot sets of a quaternion-valued polynomial mapping T(q)=qn+mq+c, where q is a quaternion variable, n∈N∖{1}, and m,c are quaternion parameters, by employing the viscosity ...
Nabaraj Adhikari, Wutiphol Sintunavarat
doaj   +1 more source

Quaternion CR-submanifolds of a quaternion Kaehler manifold

International Journal of Mathematics and Mathematical Sciences, 2001
We study the quaternion CR-submanifolds of a quaternion Kaehler manifold. More specifically we study the properties of the canonical structures and the geometry of the canonical foliations by using the Bott connection and the index of a quaternion CR ...
Bassil J. Papantoniou, M. Hasan Shahid
doaj   +1 more source

Quaternion group algebra and representations of the quaternions [PDF]

Communications in Algebra, 2019
AbstractIn this paper, we provide a concrete and explicit decomposition of the quaternion group algebra through a suitable basis of the algebra.
openaire   +2 more sources

Structural dynamics of the plant hormone receptor ETR1 in a native‐like membrane environment

FEBS Letters, EarlyView.
The present study unveils the structural and signaling dynamics of ETR1, a key plant ethylene receptor. Using an optimized nanodisc system and solution NMR, we captured full‐length ETR1 in a native‐like membrane environment. Our findings reveal dynamic domain uncoupling and Cu(I)‐induced rigidification, providing the first evidence of metal‐triggered ...
Moritz Lemke, Nils Alexander Lakomek, Georg Groth   +2 more
wiley   +1 more source

New extended superconformal sigma models and Quaternion Kahler manifolds

, 2009
Quaternion Kahler manifolds are known to be the target spaces for matter hypermultiplets coupled to N=2 supergravity. It is also known that there is a one-to-one correspondence between 4n-dimensional quaternion Kahler manifolds and those 4(n+1 ...
A. Neitzke, A.S. Galperin, A.S. Galperin, B. de Wit, C.M. Hull, D. Robles-Llana, D.V. Alekseevsky, E. Calabi, I. Antoniadis, I. L. Buchbinder, J. Wess, J. Wess, K. Galicki, L. Andrianopoli, M. Arai, M. Arai, M. Roček, P.S. Howe, R.A. Ionas, Rikard von Unge, S. Alexandrov, S.J. Gates, S.M. Kuzenko, S.M. Kuzenko, S.M. Kuzenko, S.M. Kuzenko, S.M. Kuzenko, S.M. Kuzenko, S.M. Kuzenko, S.M. Kuzenko, Sergei M Kuzenko, U. Lindström, Ulf Lindström   +32 more
core   +2 more sources

Quaternionic submanifolds in quaternionic symmetric spaces

Tohoku Mathematical Journal, 1986
This paper is motivated by a theorem of the author [Tsukuba J. Math. 9, 117-131 (1985; Zbl 0581.53044)], which asserts that a compact quaternionic submanifold in a quaternionic Kähler manifold is homologically volume minimizing. Let M be a quaternionic symmetric space and \({\mathfrak g}\) the Lie algebra of the group of all isometries on M.
openaire   +2 more sources

Quaternionic electrodynamics [PDF]

Modern Physics Letters A, 2020
We develop a quaternionic electrodynamics and show that it naturally supports the existence of magnetic monopoles. We obtained the field equations, the continuity equation, the electrodynamic force law, the Poynting vector, the energy conservation, and the stress-energy tensor.
openaire   +3 more sources

A working model for cytoplasmic assembly of H/ACA snoRNPs

FEBS Letters, EarlyView.
Dyskerin is the component of nuclear H/ACA ribonucleoproteins (RNPs) endowed with pseudouridine synthase catalytic activity. Two isoforms of human dyskerin have been characterized: the abundant Iso1, mainly nuclear, and the shorter Iso3, mainly cytoplasmic but occasionally imported into nuclei.
Alberto Angrisani, Maria Furia
wiley   +1 more source

Visualizing Quaternion Multiplication

IEEE Access, 2017
Quaternion rotation is a powerful tool for rotating vectors in 3-D; as a result, it has been used in various engineering fields, such as navigations, robotics, and computer graphics. However, understanding it geometrically remains challenging, because it
Jongchan Baek, Hayeong Jeon, Gwangjin Kim, Soohee Han   +3 more
doaj   +1 more source

Cauchy matrix and Liouville formula of quaternion impulsive dynamic equations on time scales

Open Mathematics, 2020
In this study, we obtain the scalar and matrix exponential functions through a series of quaternion-valued functions on time scales. A sufficient and necessary condition is established to guarantee that the induced matrix is real-valued for the complex ...
Li Zhien, Wang Chao
doaj   +1 more source