Petr Vašík

Review of Clifford algebra-based AI methods in signal analysis

Abstract Hypercomplex number systems, such as complex numbers and quaternions, have found many uses in the area of signal analysis. Clifford algebras, along with the embedding of (usually) a real vector space, can be used to represent some of the commonly used hypercomplex algebr...

Hamiltonian Mechanics in the Language of Geometric Algebras

Abstract We derive Hamilton’s equations in the language of geometric algebras from the general equations that describe dynamics on Lie groups, determined by an arbitrary Hamiltonian. We will then demonstrate how these equations can be utilised to describe the rigid body motion in...