Results 241 to 250 of about 10,739 (275)

AI-driven balance evaluation: a comparative study between blind and non-blind individuals using the mini-BESTest. [PDF]

open access: yesPeerJ Comput Sci
Jaén-Vargas M   +8 more
europepmc   +1 more source

Consumed by Abdominal Distention

open access: yes
Arthritis Care &Research, EarlyView.
Abimbola Fadairo‐Azinge   +3 more
wiley   +1 more source

Dual transformations and quaternions

Mathematical Methods in the Applied Sciences, 2021
In this study, we are interested in the way quaternions to represent 3D and 4D rotations in Lorentzian space. We give a new method for obtaining a rotation matrix in Lorentzian space with the help of a unit quaternion. Furthermore, we prove that rotation matrices correspond to a quaternion leave invariant the same axis in Euclidean and Lorentzian space.
Gülsüm Yüca, Yusuf Yaylı
openaire   +2 more sources

Involutions in Dual Split-Quaternions

Advances in Applied Clifford Algebras, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bekar, MURAT, Yayli, Yusuf
openaire   +2 more sources

Dual quaternions and dual projective spaces

Chaos, Solitons & Fractals, 2009
Abstract In this study, dual unitary matrices SUD(2) were obtained. We correspond to one to one elements of the unit dual sphere S D 3 with the dual unitary matrices SUD(2). Thus, we express spherical concepts such as meridians of longitude and parallels of latitude on SUD(2).
Ata, Erhan, Yaylı, Yusuf
openaire   +2 more sources

Quadrotor dual quaternion control

2015 Workshop on Research, Education and Development of Unmanned Aerial Systems (RED-UAS), 2015
This paper introduces the design and practical validation of a quaternion control scheme to globally stabilize a quadrotor aerial vehicle. First an attitude control law is proposed to stabilize the vehicle's heading, then a position control law is developed to stabilize the vehicle around a desired point.
H. Abaunza   +3 more
openaire   +1 more source

Dual-hyperbolic Pell quaternions

Journal of Discrete Mathematical Sciences and Cryptography, 2020
In this paper, dual-hyperbolic Pell numbers and Pell quaternions are defined. Also, some algebraic properties of dual-hyperbolic Pell numbers and quaternions which are connected with dual-hyperboli...
openaire   +1 more source

Dual Quaternion Knowledge Graph Embeddings

Proceedings of the AAAI Conference on Artificial Intelligence, 2021
In this paper, we study the problem of learning representations of entities and relations in the knowledge graph for the link prediction task. Our idea is based on the observation that the vast majority of the related work only models the relation as a single geometric operation such as translation or rotation, which limits the representation power of ...
Zongsheng Cao   +4 more
openaire   +1 more source

Dual Quaternion Involutions and Anti-Involutions

Advances in Applied Clifford Algebras, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bekar, MURAT, Yayi, Yusuf
openaire   +2 more sources

Quaternions and Dual Quaternions: Singularity-Free Multirobot Formation Control

Journal of Intelligent & Robotic Systems, 2016
Cluster space control is a method of multirobot formation keeping that considers a group of robots to be a single entity, defining state variables to represent characteristics of the group, such as position, orientation, and shape. This technique, however, suffers from singularities when a minimal state representation is used. This paper presents three
Ignacio Mas, Christopher Kitts
openaire   +2 more sources

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