Review-discussion: historical knowledge and historical narratives in the Severan period: Adam M. Kemezis, Greek Narratives of the Roman Empire under the Severans: Cassius Dio, Philostratus, and Herodian, Greek Culture in the Roman World

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An R Implementation of the Polya-Aeppli Distribution

An efficient implementation of the Polya-Aeppli, or geometirc compound Poisson, distribution in the statistical programming language R is presented. The implementation is available as the package polyaAeppli and consists of functions for the mass function, cumulative distribution function, quantile function and random variate generation with those parameters conventionally provided for standard univatiate probability distributions in the stats package in RComment: 9 pages, 2 figure

Conceptualising teachers' professional learning with Web 2.0

Purpose – This paper seeks to identify and develop an exploratory framework for conceptualising how teachers might use the affordances of Web 2.0 technologies to support their own professional learning. Design/methodology/approach – The paper draws on a large corpus of literature and recent research evidence to identify the principal elements and features of professional learning and the underlying affordances of Web 2.0 technologies and applications. It generates an exploratory conceptual framework based on the emerging findings from this review using a socio‐cultural theoretical perspective. The framework is explored through three individual illustrations which are drawn from a much larger case study which the author is undertaking within a newly established Academy in the North of England. Findings – The findings indicate that there is potential value in exploring professional learning with Web 2.0 technologies in the ways described. The framework offers an exploratory instrument to examine how professional learning for teachers could be supported with Web 2.0 technologies in ways that might have significant benefits over traditional methods of continuing professional development (CPD). Originality/value – The potential value and affordances of Web 2.0 technologies for teachers' professional learning are largely unexplored and under‐theorised, and this work seeks to establish a framework for further discussion and empirical exploration

Barriers and solutions to innovation in teacher education

This article proposes how mobile technologies are being employed innovatively in teacher education across the European Union, contributing to an adjustment in teacher training models. It identifies various barriers and challenges to innovation and illustrates how teacher educators have addressed these in the first year of an Erasmus+ funded project

Toroidal Spiral Nambu-Goto Strings around Higher-Dimensional Black Holes

We present solutions of the Nambu-Goto equation for test strings in a shape of toroidal spiral in five-dimensional spacetimes. In particular, we show that stationary toroidal spirals exist around the five-dimensional Myers-Perry black holes. We also show the existence of innermost stationary toroidal spirals around the five-dimensional black holes like geodesic particles orbiting around four-dimensional black holes.Comment: 9 pages, 5 figure

Stationary Closed Strings in Five-dimensional Flat Spacetime

We investigate stationary rotating closed Nambu-Goto strings in five-dimensional flat spacetime. The stationary string is defined as a worldsheet that is tangent to a timelike Killing vector. Nambu-Goto equation of motion for the stationary string is reduces to the geodesic equation on the orbit space of the isometry group action generated by the Killing vector. We take a linear combination of a time-translation vector and space-rotation vectors as the Killing vector, and explicitly construct general solutions of stationary rotating closed strings in five-dimensional flat spacetime. We show a variety of their configurations and properties.Comment: 22 pages, 17 figure