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AI-driven balance evaluation: a comparative study between blind and non-blind individuals using the mini-BESTest. [PDF]
Jaén-Vargas M +8 more
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Consumed by Abdominal Distention
Arthritis Care &Research, EarlyView.
Abimbola Fadairo‐Azinge +3 more
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Dual transformations and quaternions
Mathematical Methods in the Applied Sciences, 2021In 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
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Involutions in Dual Split-Quaternions
Advances in Applied Clifford Algebras, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bekar, MURAT, Yayli, Yusuf
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Dual quaternions and dual projective spaces
Chaos, Solitons & Fractals, 2009Abstract 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
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Quadrotor dual quaternion control
2015 Workshop on Research, Education and Development of Unmanned Aerial Systems (RED-UAS), 2015This 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
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Dual-hyperbolic Pell quaternions
Journal of Discrete Mathematical Sciences and Cryptography, 2020In 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...
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Dual Quaternion Knowledge Graph Embeddings
Proceedings of the AAAI Conference on Artificial Intelligence, 2021In 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
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Dual Quaternion Involutions and Anti-Involutions
Advances in Applied Clifford Algebras, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bekar, MURAT, Yayi, Yusuf
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Quaternions and Dual Quaternions: Singularity-Free Multirobot Formation Control
Journal of Intelligent & Robotic Systems, 2016Cluster 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
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