Results 301 to 310 of about 56,344 (329)
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The Mathematical Gazette, 1979
Quaternions feature in most introductory textbooks on abstract algebra, often in the form of exercises. They offer an important example of a skew field (or division ring); the subset of quaternions ±i, ±j, ±k, ±l (or ±I, ±J, ±K, ±L according to taste) under multiplication affords an example of the ‘awkward’ group of order 8, which is often known as the
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Quaternions feature in most introductory textbooks on abstract algebra, often in the form of exercises. They offer an important example of a skew field (or division ring); the subset of quaternions ±i, ±j, ±k, ±l (or ±I, ±J, ±K, ±L according to taste) under multiplication affords an example of the ‘awkward’ group of order 8, which is often known as the
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On the 'quaternionic' bifurcation
Journal of Physics A: Mathematical and General, 1985The paper describes an example of a ''quaternionic'' bifurcation problem: that is a bifurcation problem which is equivariant with respect to a real irreducible representation of a group G, and such that the space of linear operators commuting with the representation has dimension 4.
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2011
Chapter 7 is the focal point of the book and shows how quaternions are used to rotate vectors about an arbitrary 3D axis. The chapter begins by reviewing some of the history associated with quaternions, in particular, the role of Benjamin Olinde Rodrigues, who discovered the importance of half-angles in rotation transforms.
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Chapter 7 is the focal point of the book and shows how quaternions are used to rotate vectors about an arbitrary 3D axis. The chapter begins by reviewing some of the history associated with quaternions, in particular, the role of Benjamin Olinde Rodrigues, who discovered the importance of half-angles in rotation transforms.
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Intrinsic in-plane nodal chain and generalized quaternion charge protected nodal link in photonics
Light: Science and Applications, 2021Dongyang Wang, Biao Yang, Qinghua Guo
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Non-Local Robust Quaternion Matrix Completion for Large-Scale Color Image and Video Inpainting
IEEE Transactions on Image Processing, 2022Zhi-Gang Jia, Qiyu Jin, Michael Ng
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A survey of quaternion neural networks
Artificial Intelligence Review, 2019Titouan Parcollet +2 more
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Euler–Rodrigues formula variations, quaternion conjugation and intrinsic connections
Mechanism and Machine Theory, 2015Jian S Dai
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