Integration of the EPDiff equation by particle methods

The purpose of this paper is to apply particle methods to the numerical solution of the EPDiff equation. The weak solutions of EPDiff are contact discontinuities that carry momentum so that wavefront interactions represent collisions in which momentum is exchanged. This behavior allows for the description of many rich physical applications, but also introduces difficult numerical challenges. We present a particle method for the EPDiff equation that is well-suited for this class of solutions and for simulating collisions between wavefronts. Discretization by means of the particle method is shown to preserve the basic Hamiltonian, the weak and variational structure of the original problem, and to respect the conservation laws associated with symmetry under the Euclidean group. Numerical results illustrate that the particle method has superior features in both one and two dimensions, and can also be effectively implemented when the initial data of interest lies on a submanifold

Abandoned spaces, abandoned design

This dissertation investigates the significant problem of abandoned buildings in the Pretoria Central Business District and, to a lesser extent, the lack of public exposure to art, architecture and design. For the purpose of this study, empty spaces in the City Centre and Die Meent buildings are examined. A new system for their reuse is developed and a gallery for the exhibition of multiple art forms is incorporated therein, as an example of how the aforementioned system can be appropriated. These problems, especially the first, is not restricted to the local urban context. The investigation is thus divided into two phases: the first provides a solution to the challenge of reusing abandoned spaces in buildings; the second phase, as a proposed future exploration of this system, provides a solution to the need for a multi-purpose exhibition area. City Property is the proposed client for the first phase, while MINI Space is the proposed client for the second phase. Empty buildings are a growing concern worldwide, due to concerns for sustainable development and decreasing greenfield sites. This dissertation proposes that the term ‘site’ should be redefined, using the x-y-z axes as a base. By applying the theory of Deconstruction, it is argued that ‘ground zero’ be shifted to a higher level, to include not only the x- and y-axis, but also the z-axis, leading to the creation of truly three-dimensional cities. This project aims to advance a new way of looking at the city and promoting different forms of art. Culturally rich spaces within vibrant cities with multiple levels of living, working and playing, aid the creation of new communities and unique spaces for each individual. CopyrightDissertation (MArch(Prof))--University of Pretoria, 2010.Architectureunrestricte

Factors influencing the long-term competitiveness of selected commercial milk producers in east Griqualand, South Africa.

Thesis (M.Sc.)-University of KwaZulu-Natal, Pietermaritzburg, 2009.This study presents two separate competitiveness analyses to assess changes in, and factors influencing, the long-term competitiveness of a panel of commercial milk producers in East Griqualand (EG), South Africa. The Unit Cost Ratio (UCR) method was used to measure competitiveness of EG milk producers. It is defined as the ratio of dairy enterprise accounting costs plus an opportunity cost of management at 5% of milk revenue, to total dairy enterprise revenue. The initial UCR analysis was used to partly investigate the impact of dairy market deregulation on the relative competitiveness of EG milk producers over the period 1983 to 2006. The results of this UCR analysis found that the sample of EG milk producers were not competitive based on the net local price, PL, received for milk but were competitive when dairy cattle trading income was included. This suggests that dairy cattle trading income played an important role in enhancing the competitiveness of EG dairy enterprises in the study period. Further UCR analysis revealed that differences in the inherent ability of members of the EG group to manage market deregulation impacted on the relative competitiveness of EG milk producers. The top onethird of the sample of EG milk producers remained relatively competitive from 1983 to 2006 due to higher real milk prices and lower real unit costs than producers in the bottom one-third category. Differences in relative competitiveness between the top and bottom one-third categories of producers were statistically significant. Based on the findings of the UCR analysis, a Ridge regression analysis was then used to investigate other factors influencing the long-term competitiveness of selected milk producers from EG using unbalanced panel data for the period 1990 – 2006. Results of the regression analysis showed that dairy herd size, the level of farm debt, annual production per cow, technology and policy changes over time, and the ratio of trading income to total milk income influence the long-term competitiveness of these milk producers. To enhance their competitiveness in a deregulated dairy market, relatively small and profitable EG milk producers should consider increasing herd sizes as the importance of herd size in explaining competitiveness suggests that size economies exist. All EG milk producers should consider utilising more pasture and other forages to lower feed costs and select dairy cattle of superior genetic merit to improve milk yields

‘This generation’ in Matthew 24:34 as a timeless, spiritual generation akin to Genesis 3:15

In this article, the phrase ‘this generation’ [ἡ γενεὰ αὕτη] in Matthew 24:34 is read in terms of the larger category to which it is argued to belong, namely the two respective timeless, spiritual generations akin to Genesis 3:15: the one that bears the right fruit and belongs to God’s kingdom and the other one that bears the wrong fruit and belongs to the kingdom of the devil (the serpent). Such a connotation is especially traced in the three occurrences of the expression γεννήματα ἐχιδνῶν [offspring or generation of vipers] in the gospel (Mt 3:7; 12:34; 23:33) and other generational language within the gospel that differentiates these two generations. The same connotations are argued to lie behind the generational language in the other gospels too. Such an understanding of ‘this generation’ would solve the eschatological problems that are often attached to prevalent interpretations thereof and would alleviate much of the charges of anti-Judaism levelled against the gospels. Intradisciplinary and/or interdisciplinary implications: The two main areas where this research challenges traditional discourses are (1) on the traditional interpretation that Jesus would envision his contemporary generation to witness his second coming and (2) that generational language in Matthew would be confined to a group of people being time-bound or being defined by racial and/or ethnic affiliation. On an interdisciplinary level, this has implications for (1) the perception of eschatology in Systematic Theology or Biblical Theology, especially in terms of the way in which a distinction is often drawn between Paul and Jesus’ eschatology and (2) the perception of ethnicity or race in the New Testament, which has to do with identity formation and overlaps with both Systematic Theology and Sociology. In other words, Jesus would critique prevalent perceptions of identity by critiquing them on a spiritual level

Christian hermeneutics in South Africa

Hermeneutics remains a divisive and polarizing topic within scholarly and ecclesiastical communities in South Africa. These tensions are not limited to theoretical differences but often crystallize on a grassroots level when local churches and church assemblies have to make important decisions on controversial ethical topics such as ordaining women in church offices, assessing the ethics of gay marriages, and taking a stance on the land debate in South Africa. This book makes a unique contribution in two ways: firstly, it focuses on the uniquely South African hermeneutical landscape; secondly, it relates theories to practical ethical application. The unique scholarly contribution of this consists in it relating hermeneutics to ethics within the South African landscape. A diverse group of scholars have been invited to partake in the project and the views expressed are often quite diverse. This allows readers to develop an understanding and sensitivity of the various angles employed and the interests at stake in addressing difficult societal problems

Christian hermeneutics in South Africa

Hermeneutics remains a divisive and polarizing topic within scholarly and ecclesiastical communities in South Africa. These tensions are not limited to theoretical differences but often crystallize on a grassroots level when local churches and church assemblies have to make important decisions on controversial ethical topics such as ordaining women in church offices, assessing the ethics of gay marriages, and taking a stance on the land debate in South Africa. This book makes a unique contribution in two ways: firstly, it focuses on the uniquely South African hermeneutical landscape; secondly, it relates theories to practical ethical application. The unique scholarly contribution of this consists in it relating hermeneutics to ethics within the South African landscape. A diverse group of scholars have been invited to partake in the project and the views expressed are often quite diverse. This allows readers to develop an understanding and sensitivity of the various angles employed and the interests at stake in addressing difficult societal problems

Biblical Theology of Life in the New Testament

This publication deals with A Biblical Theology of Life based on the New Testament. It forms the second of a two volume publication on A Biblical Theology of Life. These two volumes trace the concept of life throughout Protestant canon, working with the final form of the biblical books in Hebrew (vol. 5) and Greek (vol. 6) Scripture. This is done by providing the reader with a book-by-book overview of this concept. This book concludes with a final chapter synthesising the findings of the respective investigations of the Old and New Testament corpora in order to provide a summative theological perspective of the development of the concept through Scripture. It is clear that life forms a central and continuous theme throughout the Biblical text. The theme begins with the living God that creates life, but is shortly followed by death that threatens life. Despite this threat, God sustains life and awakens life from death. The text concludes with the consummation depicting eternal life in the new heaven and earth. The biblical theological approach that has been taken entails a thematic approach as it investigates the concept of life, with contextual foci on what individual books of Scripture teach about life, joined diachronically with an investigation of the progressive use of the concept of life in Scripture, while providing a theology of Scripture as a whole investigating the concept of life in all sixty-six books of the Protestant canon

Biblical Theology of Life in the New Testament

This publication deals with A Biblical Theology of Life based on the New Testament. It forms the second of a two volume publication on A Biblical Theology of Life. These two volumes trace the concept of life throughout Protestant canon, working with the final form of the biblical books in Hebrew (vol. 5) and Greek (vol. 6) Scripture. This is done by providing the reader with a book-by-book overview of this concept. This book concludes with a final chapter synthesising the findings of the respective investigations of the Old and New Testament corpora in order to provide a summative theological perspective of the development of the concept through Scripture. It is clear that life forms a central and continuous theme throughout the Biblical text. The theme begins with the living God that creates life, but is shortly followed by death that threatens life. Despite this threat, God sustains life and awakens life from death. The text concludes with the consummation depicting eternal life in the new heaven and earth. The biblical theological approach that has been taken entails a thematic approach as it investigates the concept of life, with contextual foci on what individual books of Scripture teach about life, joined diachronically with an investigation of the progressive use of the concept of life in Scripture, while providing a theology of Scripture as a whole investigating the concept of life in all sixty-six books of the Protestant canon