Results 61 to 70 of about 61,849 (347)
On the dual quaternion geometry of screw motions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this study, the screw motions are studied using dual quaternions with the help of di erent perspectives. Firstly, orthogonality definition of dual quaternions is given and geometric interpretation of orthogonality condition is made.
Erişir Tülay +3 more
doaj +1 more source
Axioms, 2021 The step derivative of a complex function can be defined with various methods. The step direction defines a basis that is distinct from that of a complex number; the derivative can then be treated by using Taylor series expansion in this direction.
Ji-Eun Kim
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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 Generalized Fibonacci Quaternions and Fibonacci-Narayana Quaternions
, 2013 In this paper, we investigate some properties of generalized Fibonacci quaternions and Fibonacci-Narayana quaternions.Comment: Accepted in Adv. in Appl.
Flaut, Cristina, Shpakivskyi, Vitalii
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A note on convexity of sections of quaternionic numerical range
, 2018 The quaternionic numerical range of matrices over the ring of quaternions is not necessarily convex. We prove Toeplitz-Hausdorff like theorem, that is, for any given quaternionic matrix every section of its quaternionic numerical range is convex.
Kumar, P. Santhosh
core +1 more source
Population and species neighbor identity impact trait–trait relationships and plant performance
Population Ecology, EarlyView.We evaluated how populations and species identity influence plant performance and trait outcomes in mixtures, and assessed trait variation among populations of two forb species native to the western United States (Dieteria canescens and Heterotheca villosa) following three interaction treatments (single‐population monoculture, two‐population mixture ...
Alicia J. Foxx +2 more
wiley +1 more source
On the Bicomplex $k$-Fibonacci Quaternions
Communications in Advanced Mathematical Sciences, 2019 In this paper, bicomplex $k$-Fibonacci quaternions are defined. Also, some algebraic properties of bicomplex $k$-Fibonacci quaternions are investigated.
Fügen Torunbalcı Aydın
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, 2015 This paper proposes a nonlinear adaptive position and attitude-tracking controller for satellite proximity operations between a target and a chaser satellite.
N. Filipe, P. Tsiotras
semanticscholar +1 more source