Brno University of Technology

Time-Varying Electromagnetic Systems - Challenges and Methodologies

Time-varying (TV) electromagnetic (EM) systems and devices introduce a fundamentally new framework in EM theory by extending classical concepts beyond traditional time-invariant formulations. In conventional EM systems, temporal invariance combined with the steady-state assumptio...

Oxygen-Pressure-LimitedRecovery of the Hematite α-Fe2O3(0001) Surface from a Reduced Fe3O4(111)-likeLayer

Abstract The oxidation kinetics of hematite α-Fe2O3(0001) surfaces are vital for its applications in catalysis, environmental remediation, and industrial processes. Despite prior studies, the roles of temperature, oxygen partial pressure, and oxygen chemical potential in controll...

Geometric algebra: an overview about different implementation representations and memory requirements

Abstract Several implementations of geometric algebra are available, and many have been approved in the past and can be found in various software codes. For low-dimensional algebras, representations as a sum of basis blades are typically the most suitable. However, isomorphic or...

The role of quantum entanglement in three players cooperative game

Abstract This work explores the application of quantum entanglement to the analysis of cooperative three-player games. The interactions between players influence their behaviour and the overall outcomes of the transferable utility (TU) cooperative game. The mathematical framework...

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...

NEW INC Y12 Creative Science: Designing with the Undesired: Giant Hogweed and Interspecies Futures

Biological invasions are widely recognized as a major driver of anthropogenic global change, with documented ecological, economic, and regulatory impacts (Pyšek et al. 2020).Within invasion ecology, impact-based classification systems structure management strategies and biosecuri...

Comparative host–graft biomechanics of osteoarticular allografts and allograft–prosthesis composites after distal femoral tumor resection

Abstract Background Distal femoral reconstruction after tumor resection can be performed using osteoarticular allografts (OCH) or allograft–prosthesis composites (APC). Although both techniques restore bone stock, complications such as nonunion, graft fracture, and hardware failu...