Steady and Stable: Numerical Investigations of Nonlinear Partial Differential Equations

Excerpt: Mathematics is a language which can describe patterns in everyday life as well as abstract concepts existing only in our minds. Patterns exist in data, functions, and sets constructed around a common theme, but the most tangible patterns are visual. Visual demonstrations can help undergraduate students connect to abstract concepts in advanced mathematical courses. The study of partial differential equations, in particular, benefits from numerical analysis and simulation

The ‘T-Shaped Buyer’: a transactional perspective on supply chain relationships

This paper challenges the normative view of interdependent buyer-seller relationships and provides a more holistic perspective of the contextual reality that shapes buyer behaviour. By proposing an innovative qualitative methodology, which focusses on boundary-spanning, pre-sales interactions, the research penetrates complex and commercially sensitive buyer-seller relationships. The longitudinal research design uses web-based diaries and follow-up interviews to explore conditions of power based interdependence between buyers and sellers. The ensuing data is mapped using qualitative content analysis and the results are aggregated graphically for assessment. Using this approach the study develops a nuanced view of the dominant patterns of buyer behaviour, and challenges the opinion that a search for competitive advantage will strengthen cooperative relationships in conditions of power based interdependence. The paper introduces the metaphor of the 'T-Shaped Buyer' to explain the empirical findings and, while acknowledging the contextual limits of the study, suggests that this metaphor may cause both academics and practitioners to reflect on normative thinking

The emergence of modern statistics in agricultural science : Analysis of variance, experimental design and the reshaping of research at Rothamsted Experimental Station, 1919–1933

During the twentieth century statistical methods have transformed research in the experimental and social sciences. Qualitative evidence has largely been replaced by quantitative results and the tools of statistical inference have helped foster a new ideal of objectivity in scientific knowledge. The paper will investigate this transformation by considering the genesis of analysis of variance and experimental design, statistical methods nowadays taught in every elementary course of statistics for the experimental and social sciences. These methods were developed by the mathematician and geneticist R. A. Fisher during the 1920s, while he was working at Rothamsted Experimental Station, where agricultural research was in turn reshaped by Fisher’s methods. Analysis of variance and experimental design required new practices and instruments in field and laboratory research, and imposed a redistribution of expertise among statisticians, experimental scientists and the farm staff. On the other hand the use of statistical methods in agricultural science called for a systematization of information management and made computing an activity integral to the experimental research done at Rothamsted, permanently integrating the statisticians’ tools and expertise into the station research programme. Fisher’s statistical methods did not remain confined within agricultural research and by the end of the 1950s they had come to stay in psychology, sociology, education, chemistry, medicine, engineering, economics, quality control, just to mention a few of the disciplines which adopted them

Economic growth and biological innovation : the development of the european dairy sector, 1865-1940

In this article we discuss an aspect of economic growth that has not been the subject of much consideration in economic and agrarian history to date: the effect of biological innovations on farming development between the mid nineteenth century and the 1930s. We have focused on dairy farming for two reasons. Firstly, dairy farming played a relevant economic role in a number of European regions during this period. Secondly, one of its products, liquid milk, was probably the most significant food during the early stages of the European nutrition transition. We present new statistical data for the evolution of dairy farming in different Northern European countries as well as Spain, and evaluate the impact of cattle population and milk yields in each case. We also link milk yields and the availability of fodder, but special attention is paid to the breeds kept and techniques for their improvement. The article shows that cattle improvement played a significant role in Central and Northern Europe from the mid nineteenth century, but that this was not the case in Spain. Improvement through inbreeding was soon discarded in Spain, absorbent crossbreeding failed, and the sector became dependent on foreign imports of bulls and cows, first from Switzerland and later from Holland. By taking these factors into consideration we can better understand why the dairy sector in Mediterranean Europe did not really begin until the late nineteenth century and why it stagnated in the wake of the First World War

Statutory Assessment of the class? Supporting the additional needs of the learning context

This paper considers issues of funding of support for students facing difficulties in learning, and the role of assessment and labelling within this process. It explores the tensions within this process using a Foucauldian framework, and from the key perspectives of social justice and rights. Drawing on a range of literature it identifies the focus upon the individual within assessment processes around the world, and then considers in detail the strengths and weaknesses of the current form of Statutory Assessment of Special Educational Needs within England. The paper proposes an alternative funding system that resolves shortcomings within the individual approach and the English system. It suggests that a Class Funding Approach could build on a notion of justice for all, reduce the opportunities for wide variations in provision, and minimise the negative impact of current dividing practices

Citizenship in the Primary School: Going Beyond Circle Time

This is a postprint of an article whose final and definitive form has been published in Pastoral Care in Education © 2003 Copyright NAPCE. The definitive version is available at www3.interscience.wiley.com. This journal is now being published by Routledge. Pastoral Care in Education is available online at http://www.informaworld.com.Education for citizenship is now recommended for all primary schools. Whilst primary teachers have long covered social and moral education, they have been less likely to cover teaching about community and political literacy (including the discussion of topical, controversial issues). This paper reports research findings on current practice and identifies key areas for discussion. It argues that there is great scope for enriching and enlivening the primary curriculum through the introduction of education for citizenship, by extending current practice in social and moral education and incorporating the newer themes of community and political literacy into existing teaching

The economic costs of alcohol consumption in Thailand, 2006

<p>Abstract</p> <p>Background</p> <p>There is evidence that the adverse consequences of alcohol impose a substantial economic burden on societies worldwide. Given the lack of generalizability of study results across different settings, many attempts have been made to estimate the economic costs of alcohol for various settings; however, these have mostly been confined to industrialized countries. To our knowledge, there are a very limited number of well-designed studies which estimate the economic costs of alcohol consumption in developing countries, including Thailand. Therefore, this study aims to estimate these economic costs, in Thailand, 2006.</p> <p>Methods</p> <p>This is a prevalence-based, cost-of-illness study. The estimated costs in this study included both direct and indirect costs. Direct costs included health care costs, costs of law enforcement, and costs of property damage due to road-traffic accidents. Indirect costs included costs of productivity loss due to premature mortality, and costs of reduced productivity due to absenteeism and presenteeism (reduced on-the-job productivity).</p> <p>Results</p> <p>The total economic cost of alcohol consumption in Thailand in 2006 was estimated at 156,105.4 million baht (9,627 million US$PPP) or about 1.99$ PPP), followed by cost of productivity loss due to reduced productivity (45,464.6 million baht/2,804 million US$PPP), health care cost (5,491.2 million baht/339 million US$ PPP), cost of property damage as a result of road traffic accidents (779.4 million baht/48 million US$PPP), and cost of law enforcement (242.4 million baht/15 million US$ PPP), respectively. The results from the sensitivity analysis revealed that the cost ranges from 115,160.4 million baht to 214,053.0 million baht (7,102.1 - 13,201 million US$ PPP) depending on the methods and assumptions employed.</p> <p>Conclusions</p> <p>Alcohol imposes a substantial economic burden on Thai society, and according to these findings, the Thai government needs to pay significantly more attention to implementing more effective alcohol policies/interventions in order to reduce the negative consequences associated with alcohol.</p

Theory and Research From the Communication Field: Discourses That Constitute and Reflect Families

From the disciplinary perspective of communication studies, we review theory and research in family communication, including a brief history of the family communication field; the contributions of a family communication perspective; and 5 theories of family communication: communication accommodation theory, communication privacy management theory, family communication patterns theory, narrative theor(ies), and relational dialectics theory. We then illustrate the concept of discourse dependence in family communication processes and discuss current trends in family communication research. We also suggest emerging directions for family communication scholarship

Image analysis for classification of dysplasia in Barrett’s esophagus using endoscopic optical coherence tomography

Barrett’s esophagus (BE) and associated adenocarcinoma have emerged as a major health care problem. Endoscopic optical coherence tomography is a microscopic sub-surface imaging technology that has been shown to differentiate tissue layers of the gastrointestinal wall and identify dysplasia in the mucosa, and is proposed as a surveillance tool to aid in management of BE. In this work a computer-aided diagnosis (CAD) system has been demonstrated for classification of dysplasia in Barrett’s esophagus using EOCT. The system is composed of four modules: region of interest segmentation, dysplasia-related image feature extraction, feature selection, and site classification and validation. Multiple feature extraction and classification methods were evaluated and the process of developing the CAD system is described in detail. Use of multiple EOCT images to classify a single site was also investigated. A total of 96 EOCT image-biopsy pairs (63 non-dysplastic, 26 low-grade and 7 high-grade dysplastic biopsy sites) from a previously described clinical study were analyzed using the CAD system, yielding an accuracy of 84% for classification of non-dysplastic vs. dysplastic BE tissue. The results motivate continued development of CAD to potentially enable EOCT surveillance of large surface areas of Barrett’s mucosa to identify dysplasia