Inside a closed many-body system undergoing the unitary evolution, small partition of whole exhibits local relaxation. If total degrees freedom is large but finite number, such relaxation would come across recurrence after certain time, namely, dynamics suddenly appears random well-ordered oscillatory decay process. It found in this paper, among collection N two-level systems (TLSs), one TLS in...

New mission-critical applications, such as autonomous vehicles and life-support systems, set a high bar for the reliability of modern microprocessors that operate in highly challenging conditions. However, while cutting-edge integrated circuit (IC) technologies have intensified by providing remarkable reductions silicon area power consumption, they also introduce new challenges through complex ...

Abstract In this paper, we explore a recently emerged approach to the problem of quantisation based on notion ideals. We explicitly prove that nonabelian Volterra together with whole hierarchy its symmetries admits deformation quantisation. show all odd-degree admit also non-deformation discuss for periodic including their quantum Hamiltonians, central elements quantised algebras, and demonstra...

This paper addresses the problem of constructing a semantic hierarchy for a machine translation system. We propose two methods of constructing a hierarchy: acquiring a hierarchy from scratch and updating a hierarchy. When acquiring a hierarchy from scratch, translation rules are learned by an inductive learning algorithm in the rst step. A new hierarchy is then generated by applying a clusterin...