Results 51 to 60 of about 982,655 (280)
Generalized dual Fibonacci quaternions with dual coefficient
, 2018 In this paper, we defined the generalized dual Fibonacci quaternions with dual coefficient. Also, we investigated the relations between the generalized dual Fibonacci quaternions with dual coefficient.
Torunbalcı Aydın, Fügen
core +1 more source
Kinematic Feedback Control Using Dual Quaternions [PDF]
, 2018 This paper presents results on kinematic controllers for the stabilization of rigid body displacements using dual quaternions. The paper shows how certain results for quaternion stabilization of rotation can be extended to dual quaternions stabilization ...
Sjøberg, Alexander Meyer, Egeland, Olav
core +2 more sources
Dual quaternion representation of geometrical motion in 3D space
Discrete and Continuous Models and Applied Computational Science\emph {Background} In a previous article we discussed the use of dual quaternions for modeling points, lines and planes and solving standard geometric problems.
Olesya M. Abakumova +3 more
doaj +1 more source
A Full-Body Relative Orbital Motion of Spacecraft Using Dual Tensor Algebra and Dual Quaternions
Mathematics, 2023 This paper proposes a new non-linear differential equation for the six degrees of freedom (6-DOF) relative rigid bodies motion. A representation theorem is provided for the 6-DOF differential equation of motion in the arbitrary non-inertial reference ...
Daniel Condurache
doaj +1 more source
Quaternionic and Dual Quaternionic Darboux Ruled Surfaces
Turkish Journal of Mathematics and Computer Science, 2021 In this paper, firstly the ruled surface drawn by the Darboux vector is expressed as a quaternion. Then, the spatial quaternionic definition of the striction curve is given and the integral invariants of the surface are calculated. Finally, the ruled surface which corresponds to a dual curve drawn by a dual Darboux vector is derived with the help of ...
openaire +3 more sources
Pediatric Blood &Cancer, EarlyView.ABSTRACT Febrile neutropenia (FN) is a frequent and serious complication in children receiving cancer therapy. Standardizing FN management across Asia is challenging due to variable healthcare infrastructure, diagnostic capacity, and infection patterns; however, it could improve resource use and patient outcomes.
Joliza Patricia Cañeba +29 more
wiley +1 more source
Regular functions on dual split quaternions in Clifford analysis
, 2017 This paper shows expressions of a power series for the form of dual split quaternions and provides differential operators in dual split quaternions. The paper also represents a power series of dual split regular functions by using a dual split ...
Ji Kim, Kwang Shon
core +1 more source
Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Introduction Hyperlipidemia is a major risk factor for atherosclerotic cardiovascular disease (ASCVD). Although statins are the cornerstone of lipid‐lowering therapy, their use may be limited in some patients by adverse effects. This study evaluated the possible impact of non‐drug treatment using double‐filtration plasmapheresis (DFPP) on CD14+
Yun Cheng +3 more
wiley +1 more source
Dual quaternion representation of points, lines and planes
Discrete and Continuous Models and Applied Computational ScienceBackground. The bulk of the work on dual quaternions is devoted to their application to describe helical motion. Little attention is paid to the representation of points, lines, and planes (primitives) using them. Purpose. It is necessary to consistently
Migran N. Gevorkyan +4 more
doaj +1 more source
FEBS Letters, EarlyView.Plasma membranes contain dynamic nanoscale domains that organize lipids and receptors. Because viruses operate at similar scales, this architecture shapes early infection steps, including attachment, receptor engagement, and entry. Using influenza A virus and HIV‐1 as examples, we highlight how receptor nanoclusters, multivalent glycan interactions ...
Jan Schlegel, Christian Sieben
wiley +1 more source