The arithmetic of arithmetic Coxeter groups

In the 1990s, J.H. Conway published a combinatorial-geometric method for analyzing integer-valued binary quadratic forms (BQFs). Using a visualization he named the "topograph," Conway revisited the reduction of BQFs and the solution of quadratic Diophantine equations such as Pell's equation. It appears that the crux of his method is the coincidence between the arithmetic group $PGL_2({\mathbb Z})$ and the Coxeter group of type $(3,\infty)$. There are many arithmetic Coxeter groups, and each may have unforeseen applications to arithmetic. We introduce Conway's topograph, and generalizations to other arithmetic Coxeter groups. This includes a study of "arithmetic flags" and variants of binary quadratic forms.Comment: 14 pages, 11 figure

Vague and weak convergence of signed measures

Necessary and sufficient conditions for weak and vague convergence of measures are important for a diverse host of applications. This paper aims to give a comprehensive description of the relationship between the two modes of convergence when the measures are signed, which is largely absent from the literature. Furthermore, when the underlying space is $\mathbb{R}$, we study the relationship between vague convergence of signed measures and the pointwise convergence of their distribution functions.Comment: 16 pages, 3 figure

Low Profile, Dual-Polarised Antenna for Aeronautical and Land Mobile Satcom

High data rate communications on the move is fastly becoming a major application area for satellite systems using Ku- and higher frequency bands. The ground terminal antenna used in such systems has a profound impact on the system capabilities and is constrained in many often conflicting ways. While simple reflector systems offer the lowest cost solution, there is a widespread need for low profile antennas to minimize the antenna visual signature and to satisfy aesthetic and transportation requirements. It is often considered that the use of such antennas will compromise the system performance

A Novel Interdisciplinary Course in Gerontechnology for Disseminating Computational Thinking

While specialized knowledge and skills are the hallmark of modern society, the size and complexity of contemporary problems often require cooperative effort to analyze and solve. Therefore, experiences with skills, methodologies, and tools for effective interdisciplinary collaboration and structured problem solving are vital for preparing students for future academic and professional success. Meanwhile, computational systems have permeated much of modern professional and personal life, making computational thinking an essential skill for members of modern society. However, formal training in these techniques is primarily limited to students within computer science, mathematics, management of information systems, and engineering. At Iowa State University, we have designed and offered an experimental course to develop undergraduate students’ abilities for interdisciplinary teamwork and to disseminate computational thinking skills to a broader range of students. This novel course was jointly designed and instructed by faculty from the Computer Science Department, Gerontology Program, and Graphic Design Program to incorporate diverse faculty expertise and pedagogical approaches. Students were required to interview real users to identify real-life problems, gather requirements, and assess candidate solutions, which necessitated communication both within the group and with technologically-disinclined users. In-class presentations and wiki-based project websites provided regular practice at disseminating domain expertise to larger interdisciplinary audiences. Workshops, group-based mentoring, peer learning, and guided discovery allowed non-CS majors to learn much more about computer programs and tools, and grading criteria held students individually accountable within their disciplines but also emphasized group collaboration

Interdisciplinary undergraduate learning modules in gerontechnology

As the older population grows rapidly worldwide, gerontechnology can play an increasingly crucial role in improving older people’s quality of life in an affordable and sustainable way. However, even with growing interests, gerontechnology has yet to be established as a widely available educational or research program. One root cause is the lack of a well-established curriculum to train new gerontechnologists and to help professionals in relevant fields to develop gerontechnological specialties. This paper summarizes our experience and insights gained from designing, instructing, and evaluating learning modules for gerontechnology in the past 2½ years, and outlines the learning materials and effective pedagogies for gerontechnology that can be adopted and further developed

Developing Effective Cancer Pain Education Programs

Pain is prevalent, burdensome, and undertreated in individuals with cancer across the disease trajectory. Providing patients and family caregivers psychosocial support and education to manage cancer pain is a core component of quality care that can result in significant clinical benefit. In this review, we (1) outline an approach for developing and assessing the effectiveness of education programs for adults with cancer pain; (2) discuss considerations for tailoring programs to the needs of diverse populations and those with limited health literacy skills; (3) describe the resource needs and costs of developing a program; and (4) highlight innovative approaches to cancer pain education. We conclude with recommendations for future research and the next generation of educational interventions

Robert Pattison as the object of desire: an investigation into the representation of the Twilight saga in online media

This study aimed to provide researchers in the development of media studies with research into understanding the star as the object of desire in a contemporary context, using Robert Pattinson as the star and The Twilight Saga, which made him famous, as an example of the effects that the use of social and online media have on audiences in terms of their perception and identification of a particular star. This study drew from literature and theories such as stardom, star as the object of desire, audience theory, fantasy, desire and escapism as well as theory on globalisation, the mass media and online and social media. Whilst social and online media have been in existence for a number of years, there is little research that has been performed in order to determine whether or not the use of social and online media directly affect users’ understanding and perception of certain stars and films. There has also been little research performed in order to gain an understanding of fantasy and desire, in terms of films and film stars, outside the constraints of the cinema. This study examined this notion, noting that The Twilight Saga has been successful production worldwide, in order to discover whether or not the use of social and online media perpetuates obsession in the fans and audience members. The first part of the study that was conducted, applied certain theories discussed and developed in the literature review, to Robert Pattinson and The Twilight Saga in order to obtain a better understanding of the star and the film series in terms of cinema, stardom, fantasy and escapism and online and social media. A comparative case study of six online articles, from prominent online sources featuring Pattinson, was then conducted in order to investigate Pattinson’s image and status in the online community. Finally, a content analysis of various online and social media platforms such as Facebook, Twitter and YouTube was performed in order to find out what type of information and imagery was being generated about Pattinson and the Saga as well as to investigate how fans and followers engaged with the different media channels and what kinds of comments they were making about the star and the Saga. It was found that Pattinson, the character he plays in the film series, Edward Cullen, and The Twilight Saga have a large presence on key social media platforms such as Facebook and Twitter, with a vast amount of followers and fans; Facebook and Twitter being the most popular and interactive media avenues. It was also found that Pattinson, Edward and The Twilight Saga, through the avid use of the social media tools, elicited and incited signs of obsession, fantasy and desire within an extensive amount of fans and followers, outside the constraints of the cinem

Robert Pattison as the object of desire: an investigation into the representation of the Twilight saga in online media

This study aimed to provide researchers in the development of media studies with research into understanding the star as the object of desire in a contemporary context, using Robert Pattinson as the star and The Twilight Saga, which made him famous, as an example of the effects that the use of social and online media have on audiences in terms of their perception and identification of a particular star. This study drew from literature and theories such as stardom, star as the object of desire, audience theory, fantasy, desire and escapism as well as theory on globalisation, the mass media and online and social media. Whilst social and online media have been in existence for a number of years, there is little research that has been performed in order to determine whether or not the use of social and online media directly affect users’ understanding and perception of certain stars and films. There has also been little research performed in order to gain an understanding of fantasy and desire, in terms of films and film stars, outside the constraints of the cinema. This study examined this notion, noting that The Twilight Saga has been successful production worldwide, in order to discover whether or not the use of social and online media perpetuates obsession in the fans and audience members. The first part of the study that was conducted, applied certain theories discussed and developed in the literature review, to Robert Pattinson and The Twilight Saga in order to obtain a better understanding of the star and the film series in terms of cinema, stardom, fantasy and escapism and online and social media. A comparative case study of six online articles, from prominent online sources featuring Pattinson, was then conducted in order to investigate Pattinson’s image and status in the online community. Finally, a content analysis of various online and social media platforms such as Facebook, Twitter and YouTube was performed in order to find out what type of information and imagery was being generated about Pattinson and the Saga as well as to investigate how fans and followers engaged with the different media channels and what kinds of comments they were making about the star and the Saga. It was found that Pattinson, the character he plays in the film series, Edward Cullen, and The Twilight Saga have a large presence on key social media platforms such as Facebook and Twitter, with a vast amount of followers and fans; Facebook and Twitter being the most popular and interactive media avenues. It was also found that Pattinson, Edward and The Twilight Saga, through the avid use of the social media tools, elicited and incited signs of obsession, fantasy and desire within an extensive amount of fans and followers, outside the constraints of the cinem

Community perspectives on food insecurity and obesity: Focus groups with caregivers of metis and Off-reserve first nations children

Introduction: Aboriginal children in Canada are at a higher risk for overweight and obesity than other Canadian children. In Northern and remote areas, this has been linked to a lack of affordable nutritious food. However, the majority of Aboriginal children live in urban areas where food choices are more plentiful. This study aimed to explore the experiences of food insecurity among Métis and First Nations parents living in urban areas, including the predictors and perceived connections between food insecurity and obesity among Aboriginal children. Methods: Factors influencing children\u27s diets, families\u27 experiences with food insecurity, and coping strategies were explored using focus group discussions with 32 parents and caregivers of Métis and off-reserve First Nations children from Midland-Penetanguishene and London, Ontario. Four focus groups were conducted and transcribed verbatim between July 2011 and March 2013. A thematic analysis was conducted using NVivo software, and second coders ensured reliability of the results. Results: Caregivers identified low income as an underlying cause of food insecurity within their communities and as contributing to poor nutrition among their children. Families reported a reliance on energy-dense, nutrient-poor foods, as these tended to be more affordable and lasted longer than more nutritious, fresh food options. A lack of transportation also compromised families\u27 ability to purchase healthful food. Aboriginal caregivers also mentioned a lack of access to traditional foods. Coping strategies such as food banks and community programming were not always seen as effective. In fact, some were reported as potentially exacerbating the problem of overweight and obesity among First Nations and Métis children. Conclusion: Food insecurity manifested itself in different ways, and coping strategies were often insufficient for addressing the lack of fruit and vegetable consumption in Aboriginal children\u27s diets. Results suggest that obesity prevention strategies should take a family-targeted approach that considers the unique barriers facing urban Aboriginal populations. This study also reinforces the importance of low income as an important risk factor for obesity among Aboriginal peoples