Non-commutative symbolic coding

We give a non-commutative generalization of classical symbolic coding in the presence of a synchronizing word. This is done by a scattering theoretical approach. Classically, the existence of a synchronizing word turns out to be equivalent to asymptotic completeness of the corresponding Markov process. A criterion for asymptotic completeness in general is provided by the regularity of an associated extended transition operator. Commutative and non-commutative examples are analysed.

Life and death in a civitas capital: metabolic disease and trauma in the children from late Roman Dorchester, Dorset

The impact that “Romanization” and the development of urban centers had on the health of the Romano-British population is little understood. A re-examination of the skeletal remains of 364 nonadults from the civitas capital at Roman Dorchester (Durnovaria) in Dorset was carried out to measure the health of the children living in this small urban area. The cemetery population was divided into two groups; the first buried their dead organized within an east–west alignment with possible Christian-style graves, and the second with more varied “pagan” graves, aligned north–south. A higher prevalence of malnutrition and trauma was evident in the children from Dorchester than in any other published Romano-British group, with levels similar to those seen in postmedieval industrial communities. Cribra orbitalia was present in 38.5% of the children, with rickets and/or scurvy at 11.2%. Twelve children displayed fractures of the ribs, with 50% of cases associated with rickets and/or scurvy, suggesting that rib fractures should be considered during the diagnosis of these conditions. The high prevalence of anemia, rickets, and scurvy in the Poundbury children, and especially the infants, indicates that this community may have adopted child-rearing practices that involved fasting the newborn, a poor quality weaning diet, and swaddling, leading to general malnutrition and inadequate exposure to sunlight. The Pagan group showed no evidence of scurvy or rib fractures, indicating difference in religious and child-rearing practices but that both burial groups were equally susceptible to rickets and anemia suggests a shared poor standard of living in this urban environment.

The symbolic value of grafting in ancient Rome

Some scholars have read Virgil’s grafted tree (G. 2.78–82) as a sinister image, symptomatic of man’s perversion of nature. However, when it is placed within the long tradition of Roman accounts of grafting (in both prose and verse), it seems to reinforce a consistently positive view of the technique, its results, and its possibilities. Virgil’s treatment does represent a significant change from Republican to Imperial literature, whereby grafting went from mundane reality to utopian fantasy. This is reflected in responses to Virgil from Ovid, Columella, Calpurnius, Pliny the Elder, and Palladius (with Republican context from Cato, Varro, and Lucretius), and even in the postclassical transformation of Virgil’s biography into a magical folktale.

The role of drama in the teaching of speaking and listening as the basis for social capital

This paper explores how the concept of 'social capital' relates to the teaching of speaking and listening. The argument draws on Bourdieu's notion that a common language is an illusion but posits that an understanding of the grammar of speech can be productive in the development of both an understanding of what constitutes effective speech and the development of competence in speaking. It is argued that applying structuralist notions of written grammar is an inadequate approach to understanding speech acts or enhancing the creative use of speech. An analysis is made of how typical features of speech relate to dramatic dialogue and how the meaning of what is said is contingent upon aural and visual signifiers. On this basis a competent speaker is seen as being one who produces expressions appropriate for a range of situations by intentionally employing such signifiers. The paper draws on research into the way drama teachers make explicit reference to and use of semiotics and dramatic effectiveness in order to improve students' performance and by so doing empower them to increase their social capital. Ultimately, it is concluded that helping students identify, analyse and employ the aural, visual and verbal grammar of spoken English is not an adjunct to the subject of drama, but an intrinsic part of understanding the art form. What is called for is a re-appraisal by drama teachers of their own understanding of concepts relating to speech acts in order to enhance this area of their work.

Sustaining linguistic diversity within the global cultural economy: issues of language rights and linguistic possibilities

This paper draws on ethnographic case-study research conducted amongst a group of first and second generation immigrant children in six inner-city schools in London. It focuses on language attitudes and language choice in relation to cultural maintenance, on the one hand, and career aspirations on the other. It seeks to provide insight into some of the experiences and dilemmatic choices encountered and negotiations engaged in by transmigratory groups, how they define cultural capital, and the processes through which new meanings are shaped as part of the process of defining a space within the host society. Underlying this discussion is the assumption that alternative cultural spaces in which multiple identities and possibilities can be articulated already exist in the rich texture of everyday life amongst transmigratory groups. The argument that whilst the acquisition of 'world languages' is a key variable in accumulating cultural capital, the maintenance of linguistic diversity retains potent symbolic power in sustaining cohesive identities is a recurring theme.

Enhancing dominant modes in nonstationary time series by means of the symbolic resonance analysis

We present the symbolic resonance analysis (SRA) as a viable method for addressing the problem of enhancing a weakly dominant mode in a mixture of impulse responses obtained from a nonlinear dynamical system. We demonstrate this using results from a numerical simulation with Duffing oscillators in different domains of their parameter space, and by analyzing event-related brain potentials (ERPs) from a language processing experiment in German as a representative application. In this paradigm, the averaged ERPs exhibit an N400 followed by a sentence final negativity. Contemporary sentence processing models predict a late positivity (P600) as well. We show that the SRA is able to unveil the P600 evoked by the critical stimuli as a weakly dominant mode from the covering sentence final negativity. (c) 2007 American Institute of Physics. (c) 2007 American Institute of Physics.