A Novel High Order Space-Time Spectral Method for the Time Fractional Fokker--Planck Equation

The fractional Fokker-Planck equation is an important physical model for simulating anomalous diffusions with external forces. Because of the non-local property of the fractional derivative an interesting problem is to explore high accuracy numerical methods for fractional differential equations. In this paper, a space-time spectral method is presented for the numerical solution of the time fractional Fokker-Planck initial-boundary value problem. The proposed method employs the Jacobi polynomials for the temporal discretization and Fourier-like basis functions for the spatial discretization. Due to the diagonalizable trait of the Fourier-like basis functions, this leads to a reduced representation of the inner product in the Galerkin analysis. We prove that the time fractional Fokker-Planck equation attains the same approximation order as the time fractional diffusion equation developed in [23] by using the present method. That indicates an exponential decay may be achieved if the exact solution is sufficiently smooth. Finally, some numerical results are given to demonstrate the high order accuracy and efficiency of the new numerical scheme. The results show that the errors of the numerical solutions obtained by the space-time spectral method decay exponentially.

Outlaw motorcycle gangs: A theoretical perspective

Outlaw Motorcycle Gangs are increasingly seen as a threat to communities around the world. They are a visible threat as a recognizable symbol of deviance and violence. This book discusses the social context within which Outlaw Motorcycle Gangs and groups have emerged and the implication of labelling these groups as deviant and outlaw. There is no doubt that members of these clubs have been involved in serious criminal activity and this book explores whether gang and organised crime theory can effectively explain their criminal activities. Importantly, the book also assesses policing and political responses to the clubs' activities. It argues that there is an increasing need for national and international cooperation on the part of law enforcement agencies with various levels of government as well as the private sector. Importantly, the book offers suggestions for the best responses to the crimes committed by members of Outlaw Motorcycle Gangs.

Twitter hashtags from ad hoc to calculated publics

As the use of Twitter has become more commonplace throughout many nations, its role in political discussion has also increased. This has been evident in contexts ranging from general political discussion through local, state, and national elections (such as in the 2010 Australian elections) to protests and other activist mobilisation (for example in the current uprisings in Tunisia, Egypt, and Yemen, as well as in the controversy around Wikileaks). Research into the use of Twitter in such political contexts has also developed rapidly, aided by substantial advancements in quantitative and qualitative methodologies for capturing, processing, analysing, and visualising Twitter updates by large groups of users. Recent work has especially highlighted the role of the Twitter hashtag – a short keyword, prefixed with the hash symbol ‘#’ – as a means of coordinating a distributed discussion between more or less large groups of users, who do not need to be connected through existing ‘follower’ networks. Twitter hashtags – such as ‘#ausvotes’ for the 2010 Australian elections, ‘#londonriots’ for the coordination of information and political debates around the recent unrest in London, or ‘#wikileaks’ for the controversy around Wikileaks thus aid the formation of ad hoc publics around specific themes and topics. They emerge from within the Twitter community – sometimes as a result of pre-planning or quickly reached consensus, sometimes through protracted debate about what the appropriate hashtag for an event or topic should be (which may also lead to the formation of competing publics using different hashtags). Drawing on innovative methodologies for the study of Twitter content, this paper examines the use of hashtags in political debate in the context of a number of major case studies.

Difference covering arrays and pseudo-orthogonal Latin squares

A pair of Latin squares, A and B, of order n, is said to be pseudo-orthogonal if each symbol in A is paired with every symbol in B precisely once, except for one symbol with which it is paired twice and one symbol with which it is not paired at all. A set of t Latin squares, of order n, are said to be mutually pseudo-orthogonal if they are pairwise pseudo-orthogonal. A special class of pseudo-orthogonal Latin squares are the mutually nearly orthogonal Latin squares (MNOLS) first discussed in 2002, with general constructions given in 2007. In this paper we develop row complete MNOLS from difference covering arrays. We will use this connection to settle the spectrum question for sets of 3 mutually pseudo-orthogonal Latin squares of even order, for all but the order 146.

Deeply superficial digital media engagement? The case of Twitter and Movember 2013

Using activity generated with Twitter during Movember 2013, we interrogate the natures of superficiality running through what can be defined as a highly successful public health engagement intervention. Indeed, Movember arguably has not just been successful in one year in terms of raising funds for the causes it is concerned with, it has done this year-on-year since 2004. We tracked the keyword 'movember' (without the hash symbol) using an in-house installation of YourTwapperkeeper hosted on a NECTAR server. Data collection ran from 01 October - 04 December 2013, covering the ramp-up and wind-down periods of the event. We collected a total of 1,313,426 tweets from 759,345 unique users.

The Situated Cases

In this chapter, we meet the eight children whose documented lives are the heart of this book. The children are spread across 6 continents, so we have some textual traveling to do. We find each child in a local school. There they venture into literacy along official paths negotiated with their teachers and, also, along unofficial paths tied to their desire for peer companionship and social belonging (Corsaro, 2011; Nelson, 2007). We are most interested in their literate productions—their composing, be it with stick and dirt, pencil, crayons, and paper, tablet computer, or chalk and slate. Each child is a unique story, and each story is told by an author with particular interests in the goings-on in school, that is, with a particular angle of vision. All the authors, though, take us into a child’s educational circumstance; they give us a sense of the school’s physical site and its official curricular guidelines. Most importantly, they collectively allow us a global view of children as symbol users and social participants in the official and the unofficial worlds of school. No matter where young children go to school, they are expected to learn to “write” (although writing, as the cases illustrate, does not always mean “composing”)...