Symmetric angular momentum coupling, the quantum volume operator and the 7-spin network: a computational perspective

A unified vision of the symmetric coupling of angular momenta and of the quantum mechanical volume operator is illustrated. The focus is on the quantum mechanical angular momentum theory of Wigner's 6j symbols and on the volume operator of the symmetric coupling in spin network approaches: here, crucial to our presentation are an appreciation of the role of the Racah sum rule and the simplification arising from the use of Regge symmetry. The projective geometry approach permits the introduction of a symmetric representation of a network of seven spins or angular momenta. Results of extensive computational investigations are summarized, presented and briefly discussed.Comment: 15 pages, 10 figures, presented at ICCSA 2014, 14th International Conference on Computational Science and Application

Networks in Archaeology: Phenomena, Abstraction, Representation

The application of method and theory from network science to archaeology has dramatically increased over the last decade. In this article, we document this growth over time, discuss several of the important concepts that are used in the application of network approaches to archaeology, and introduce the other articles in this special issue on networks in archaeology. We argue that the suitability and contribution of network science techniques within particular archaeological research contexts can be usefully explored by scrutinizing the past phenomena under study, how these are abstracted into concepts, and how these in turn are represented as network data. For this reason, each of the articles in this special issue is discussed in terms of the phenomena that they seek to address, the abstraction in terms of concepts that they use to study connectivity, and the representations of network data that they employ in their analyses. The approaches currently being used are diverse and interdisciplinary, which we think are evidence of a healthy exploratory stage in the application of network science in archaeology. To facilitate further innovation, application, and collaboration, we also provide a glossary of terms that are currently being used in network science and especially those in the applications to archaeological case studies

Toward an analytical and methodological understanding of actor-network theory

Actor-Network theory (ANT) is well developed within social studies of science and technology. The last two decades have seen an increasing awareness and interest in ANT within the social sciences and it has increasingly been invoked to theorise the role of ‘nonhumans’ in social life.  In this respect the conceptual repertoire of ANT has been increasingly drawn upon to examine the relational dimensions between artefacts and people. Despite this the use of ANT as an analytical and/or methodological approach occupies a peripheral within social science research.  In part, the reticence towards ANT may be explained by its lack of theoretical unity. Analytically and methodologically the application of ANT and thought which is closely associated with the approach is considerably varied. ANT informed research often differs quite considerably in terms of methodological approach and style of analyses. This is further complicated by the disparate emphases of ANT proponents and the proliferation of different versions of ANT. Thus, there is no generic way to ‘apply’ actor-network theory and it lacks methodological prescription. This article intends to articulate the analytical and methodological possibilities of ANT. For those who are encountering ANT for the first time or for whom ANT has been regarded as a somewhat left field and inaccessible theory obscured by its own vocabularies and heterogeneity this article may provide a useful conceptual map through which the key elements of ANT can be navigated

Applying complexity science to air traffic management

Complexity science is the multidisciplinary study of complex systems. Its marked network orientation lends itself well to transport contexts. Key features of complexity science are introduced and defined, with a specific focus on the application to air traffic management. An overview of complex network theory is presented, with examples of its corresponding metrics and multiple scales. Complexity science is starting to make important contributions to performance assessment and system design: selected, applied air traffic management case studies are explored. The important contexts of uncertainty, resilience and emergent behaviour are discussed, with future research priorities summarised

Solving mazes with memristors: a massively-parallel approach

Solving mazes is not just a fun pastime. Mazes are prototype models in graph theory, topology, robotics, traffic optimization, psychology, and in many other areas of science and technology. However, when maze complexity increases their solution becomes cumbersome and very time consuming. Here, we show that a network of memristors - resistors with memory - can solve such a non-trivial problem quite easily. In particular, maze solving by the network of memristors occurs in a massively parallel fashion since all memristors in the network participate simultaneously in the calculation. The result of the calculation is then recorded into the memristors’ states, and can be used and/or recovered at a later time. Furthermore, the network of memristors finds all possible solutions in multiple-solution mazes, and sorts out the solution paths according to their length. Our results demonstrate not only the first application of memristive networks to the field of massively-parallel computing, but also a novel algorithm to solve mazes which could find applications in different research fields

Social network based approaches in the research on religion in Central-Eastern Europe

The network science, based on network theory is a fairly new and innovative field and its approaches are groundbreaking in many aspects. The social scientific applications of the network analysis methods and concepts have been built on the results of network science. Thus, the social network analysis of religious networks is grounded on the methodological principles and assumptions of network analysis, especially social network analysis as it has developed in recent years. In this study the author gives a review of the application of social network theory and social network analysis in the sociology of religion in Central and Eastern Europe. This approach of sociological study of religious faith and religious groups is usually based on empirical research and interpretation of the research results. The sociology of religion has a broader perspective in studying religious life, but the religious social networks usually mirror other characteristics of the studied religious entities and phenomena to make it an interesting subject of research