Results 41 to 50 of about 31,418 (283)
Real matrix representations for the complex quaternions
, 2013 Starting from known results, due to Y. Tian in [Ti; 00], referring to the real matrix representations of the real quaternions, in this paper we will investigate the left and right real matrix representations for the complex quaternions and we give some ...
Flaut, Cristina, Shpakivskyi, Vitalii
core +1 more source
On fourth-order jacobsthal quaternions
Journal of Mathematical Sciences and Modelling, 2018 In this paper, we present for the first time a sequence of quaternions of order 4 that we will call the fourth-order Jacobsthal and the fourth-order Jacobsthal-Lucas quaternions. In particular, we are interested in the generating function, Binet formula,
Gamaliel Cerda-morales
doaj +1 more source
Obtaining the Parametric Equation of the Curve of the Sun’s Apparent Movement by Using Quaternions
Universal Journal of Mathematics and Applications, 2022 The purpose of this article is to express the daily and yearly apparent movement of the Sun in the same curve by using quaternions as a rotation operator.
Mustafa Helvacı +3 more
doaj +1 more source
Commutative Quaternion Matrices
, 2013 In this study, we introduce the concept of commutative quaternions and commutative quaternion matrices. Firstly, we give some properties of commutative quaternions and their Hamilton matrices.
Kösal, Hidayet Hüda, Tosun, Murat
core +1 more source
On the Split Mersenne and Mersenne-Lucas Hybrid Quaternions
مجلة بغداد للعلوم, 2023 In this communication, introduce the split Mersenne and Mersenne-Lucas hybrid quaternions, also obtaining generating functions and Binet formulas for these hybrid quaternions and investigating some properties among them.
B. Malini Devi, S. Devibala
doaj +1 more source
, 2012 4-dimensional $F_{4} $ polytopes and their dual polytopes have been constructed as the orbits of the Coxeter-Weyl group $W(F_{4})$ where the group elements and the vertices of the polytopes are represented by quaternions.
Catalan E. +14 more
core +1 more source
Quaternions: A Mathematica Package for Quaternionic Analysis [PDF]
, 2011 This paper describes new issues of theMathematica standard package Quaternions for implementing Hamilton's Quaternion Algebra. This work attempts to endow the original package with the ability to perform operations on symbolic expressions involving quaternion-valued functions.
Falcão, M. I., Miranda, Fernando
openaire +2 more sources
Communication and Language Profiles of Children Treated for Posterior Fossa Brain Tumors
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Cognitive and language deficits are frequently reported sequelae of posterior fossa brain tumors (PFBT). Typically, delayed onset impedes prompt assessment and early intervention. This has devastating implications for quality of life.
Zara Sved +4 more
wiley +1 more source
A note on hyperbolic quaternions
Universal Journal of Mathematics and Applications, 2018 In this work, we introduce hyperbolic quaternions and their algebraic properties. Moreover, we express Euler's and De Moivre's formulas for hyperbolic quaternions.
İşıl Arda Kösal
doaj +1 more source
Quaternionic reduction and quaternionic orbifolds
Mathematische Annalen, 1988 An analogue of the process of symplectic reduction is defined for quaternionic Kähler manifolds. Certain features of the process are explored. In each dimension 4n, \(n>1\), the construction yields an infinite family of compact, simply-connected Riemannian orbifolds which have \(Sp_ 1Sp_ n\) holonomy and are not locally symmetric.
Galicki, K., Lawson, H.B. Jr.
openaire +1 more source