J.M. Selig, London South Bank University.
Tarih: 24 Ocak, 2023, Salı, Zaman: 14:00.
Yer: Dokuz Eylül Üniv., Tınaztepe Yerleşkesi, Fen Fak. Matematik Böl.
Özet:After a brief review of Hamilton’s quaternions and how they can be used to represent rotations, Clifford’s dual quaternions will be discussed. The use of this algebra to represent rigid-body displacements will be explained. As will the relation to the Study quadric. The representation of twists, infinitesimal rigid-body displacements, will also be considered. Finally, the notion of Clifford algebras will be introduced and various examples will be considered. In particular, examples rep-resenting the algebra of 3-dimensional Euclidean geometry will be outlined.