Noncommutative near-group fusion categories were completely classified in the previous work of first named author by using an operator algebraic method (and hence under assumption unitarity), and they shown to be group theoretical though corresponding pointed not identified. In this note we give a purely construction noncommutative starting from categorically Morita equivalent them.

We show how parallel composition of higher-dimensional automata (HDA) can be expressed categorically in the spirit of Winskel & Nielsen. Employing the notion of computation path introduced by van Glabbeek, we define a new notion of bisimulation of HDA using open maps. We derive a connection between computation paths and carrier sequences of dipaths and show that bisimilarity of HDA can be decid...

The insistence that the prophets of Hebrew Bible were “forthtellers, not foretellers” is ubiquitous in academic, liberal Christian, and even secular circles. It categorically denies ancient Israel predicted future characterizes them instead as voices social critique. This article explains origins phrase, its philosophical religious underpinnings Protestant, Enlightenment, Romantic, “scientific”...

EEective history-taking systems need to dynamically reduce the number of questions to ask. This can be done either categorically or probabilistically, by exploiting previous patient's answers. In this paper , we propose a probabilistic information-based history-taking strategy that combines synergistically two information-content measures for reducing the number of questions asked. We have appl...

not categorically prohibited by the Eighth Amendment). 2. See Lyn Entzeroth, Putting the Mentally Retarded Criminal Defendant to Death: Charting the Development of a National Consensus to Exempt the Mentally Retarded from the Death Penalty, 52 ALA. L. REV. 911 (2001); EMILY FABRYCK REED, THE PENRY PENALTY: CAPITAL PUNISHMENT AND OFFENDERS WITH MENTAL RETARDATION 14 (1993). 3. Atkins v. Virginia...

Concern about the safety of genetically engineered organisms in the environment arises from the undesirable results of earlier new technologies and introduced organisms. Progress towards safe release is complicated by the varied views of a diverse society, confusion of process and product, problems with existing methods, and the lack of practical experience with real releases. No categorically ...

An extensive study on the parameters influencing the pitch of a standard speaker in articulatory speech synthesis is presented. The speech synthesiser used is the articulatory synthesiser in PRAAT. Categorically, the repercussion of two parameters: Lungs and Cricothyroid on the average pitch of the synthesised sounds is studied. Statistical analysis of synthesis data proclaim the extent to whic...

The core of the mathematical development in this paper consists of lifting the — categorically — equivalent descriptions of physical systems by a (i) ‘state space’ or a (ii) ‘property lattice’ — see [14,20,25,26] — to an asymmetrical — i.e., not anymore isomorphic — duality on the level of: (i) ‘possible state’ transitions — ‘possible’ in the sense that an arbitrary initial state is mapped onto...

There are two ways to describe the interaction between classical and quantum information categorically: one based on completely positive maps between Frobenius algebras, the other using symmetric monoidal 2-categories. This paper makes a first step towards combining the two. The integrated approach allows a unified description of quantum teleportation and classical encryption in a single 2-cate...

Pseudo-BL algebras are noncommutative generalizations of BL-algebras and they include pseudo-MV algebras, a class of structures that are categorically equivalent to l-groups with strong unit. In this paper we characterize directly indecomposable pseudo-BL algebras and we define and study different classes of these structures: local, good, perfect, peculiar, and (strongly) bipartite pseudo-BL al...