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Quadratic Motion Polynomials with Irregular Factorizations. [PDF]

open access: yesAdv Appl Clifford Algebr
Thimm DA   +3 more
europepmc   +1 more source

Dual Fibonacci Quaternions [PDF]

open access: yesAdvances in Applied Clifford Algebras, 2014
In this study, we define the dual Fibonacci quaternion and the dual Lucas quternion. We derive the relations between the dual Fibonacci and the dual Lucas quaternion which connected the Fibonacci and the Lucas numbers. Furthermore, we give the Binet and Cassini formulas for these quaternions.
Nurkan, Semra Kaya, Güven İ.A.
exaly   +6 more sources

A New Aspect of Dual Fibonacci Quaternions

open access: yesAdvances in Applied Clifford Algebras, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Salim Yüce
exaly   +6 more sources

Dual Quaternions and Dual Quaternion Vectors

open access: yesCommunications on Applied Mathematics and Computation, 2022
We introduce a total order and the absolute value function for dual numbers. The absolute value function of dual numbers are with dual number values, and have properties similar to the properties of the absolute value function of real numbers. We define the magnitude of a dual quaternion, as a dual number.
Chen LING, Hong Yan, Liqun Qi
exaly   +3 more sources

Relative Orientation Dependent on Dual Quaternions

open access: yesPhotogrammetric Record, 2015
A new approach to relative orientation based on dual quaternions is proposed. Dual quaternions are used to express a unified description of the relative position and orientation of two images in a stereopair.
Sheng, QH   +6 more
exaly   +2 more sources
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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   +2 more sources

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