quaternions

ernions, how they relate to rotation sequences, and practical applications. Introduction to Quaternions What Are Quaternions? Quaternions are a number system that extends complex numbers. Introduced by Sir William Rowan Hamilton in 1843, they consist of one real part and

ty. Hurwitz's Theorem: States that the only normed division algebras over the real numbers are \(\mathbb{R}\), \(\mathbb{C}\), \(\mathbb{H}\), and \(\mathbb{O}\) (octonions). This classification underscores the uniqueness and limitations of e

ue moderne regorge de structures abstraites qui ont permis de décrire, modéliser et comprendre l'univers à un niveau de précision sans précédent. Parmi ces structures, les quaternions, l'algèbre de Clifford et la physique relativiste occupent une place centrale,