A Thesis Proposal Submitted to the Psychology Department School of Human and Community Development University of Witwatersrand in Partial Fulfilment of the Degree of Master of Arts Degree in Psychology by Dissertation. February 2016 / This study was aimed at an in-depth exploration of the recovery experiences of a group of 12 individuals who attended 12 step self-help groups situated in different regions in Johannesburg. 12-step self-help groups are presently the largest clinical supplements in the world. Ongoing discussions with the relevant representatives from the fellowships of Alcoholics Anonymous (AA) and Narcotics Anonymous (NA) were utilised in order to gain access to this population of people. These 12 individuals suffered from substance dependence and one or more co-occurring disorders (CODs) and were interviewed in semi-structured interviews about how their lives had changed since they had achieved a state of recovery and about some of the difficulties they had experienced since the point at which they had achieved remission from their substance-related disorder. The study also focused on the therapeutic aids that the participants had found useful during their time in recovery. In this study, CODs refers to the existence of at least one substance-related disorder and at least one psychiatric disorder in the same individual. The overarching methodological framework that was used in the study was phenomenological. It was evident from the study that the road to recovery is fraught with many challenges that the recovering individual needs to negotiate and that very often there is no information available on what the best course of action to follow is. In conclusion it is evident that recovering addicts, especially those that have been diagnosed with one or more CODs often require on going support and care if they are to continue on their journey of recovery

A thesis submitted to the Faculty of Science, University of the Witwatersrand, Johannesburg, in fulfilment of the requirements for the degree of Doctor of Philosophy. March 2016. / We investigate the two-dimensional turbulent wake and derive the governing equations for the mean velocity components using both the eddy viscosity and the Prandtl mixing length closure models to complete the system of equations. Prandtl’s mixing length model is a special case of the eddy viscosity closure model. We consider an eddy viscosity as a function of the distance along the wake, the perpendicular distance from the axis of the wake and the mean velocity gradient perpendicular to the axis of thewake. We calculate the conservation laws for the system of equations using both closure models. Three main types of wakes arise from this study: the classical wake, the wake of a self-propelled body and a new wake is discovered which we call the combination wake. For the classical wake, we first consider the case where the eddy viscosity depends solely on the distance along the wake. We then relax this condition to include the dependence of the eddy viscosity on the perpendicular distance from the axis of the wake. The Lie point symmetry associated with the elementary conserved vector is used to generate the invariant solution. The profiles of the mean velocity show that the role of the eddy viscosity is to increase the effective width of the wake and decrease the magnitude of the maximum mean velocity deficit. An infinite wake boundary is predicted fromthis model. We then consider the application of Prandtl’s mixing length closure model to the classical wake. Previous applications of Prandtl’s mixing length model to turbulent wake flows, which neglected the kinematic viscosity of the fluid, have underestimated the width of the boundary layer. In this model, a finite wake boundary is predicted. We propose a revised Prandtl mixing length model by including the kinematic viscosity of the fluid. We show that this model predicts a boundary that lies outside the one predicted by Prandtl. We also prove that the results for the two models converge for very large Reynolds number wake flows. We also investigate the turbulentwake of a self-propelled body. The eddy viscosity closure model is used to complete the system of equations. The Lie point symmetry associated with the conserved vector is derived in order to generate the invariant solution. We consider the cases where the eddy viscosity depends only on the distance along the wake in the formof a power law and when a modified version of Prandtl’s hypothesis is satisfied. We examine the effect of neglecting the kinematic viscosity. We then discuss the issues that arisewhenwe consider the eddy viscosity to also depend on the perpendicular distance from the axis of the wake. Mean velocity profiles reveal that the eddy viscosity increases the boundary layer thickness of the wake and decreases the magnitude of the maximum mean velocity. An infinite wake boundary is predicted for this model. Lastly, we revisit the discovery of the combination wake. We show that for an eddy viscosity depending on only the distance along the axis of the wake, a mathematical relationship exists between the classical wake, the wake of a self-propelled body and the combination wake. We explain how the solutions for the combination wake and the wake of a self-propelled body can be generated directly from the solution to the classical wake. / GR 2016

Magister Educationis - MEd / Problem-solving in Mathematics is an important skill. The poor performance of South African learners in international tests such as the Trends in International Mathematics and Science Study (TIMSS) and in schools in general indicates that emphasis should be placed on problem-solving in the teaching and learning of Mathematics. The new national senior certificate curriculum in South Africa encourages group work amongst learners. The thesis proposes that learning is enhanced in a small-group setting, since learners actively engage with the problems. Furthermore, Euclidean Geometry is perceived by learners to be a „difficult‟ section of Mathematics. However, Geometry is important since the skills acquired while doing Geometry can be applied to various fields of study. This research focused on Geometry problem-solving in collaborative small-group settings. An inductive approach was taken that focused on what learners were doing while they were doing problem-solving in geometry in collaborative groups. Problem-solving is viewed as a situated and contextually-determined activity. The research focused on how learners appropriated tools (physical as well as intellectual) and how they interacted with one other and the subject matter. The socio-cultural perspective was the theoretical framework underpinning the study. In this perspective, learning is seen as a social process in which learners actively participate and contribute with ideas and arguments. In addition, learning is seen as a situated activity. The research was carried out in the form of a case study that focused on three groups of three learners each, from a secondary school in Khayelitsha, a township approximately 30 km outside Cape Town, South Africa. The small groups were monitored and observed in a school setting and special attention was given to their interaction within their group, given their social and cultural context. The ethnographic approach to data gathering, which allows for the routine, everyday, taken-for-granted aspects of school and classroom life, was used. Data were collected by means of audio and video recordings, interviews with learners and teacher observations. The data analysis included analysis of field notes, audio and video transcripts and learners‟ written work. The data were analysed in terms of Pickering‟s theory that all scientific practice is a “dialectic of resistance and accommodation” and that this constitutes a “mangle of practice” (Pickering, 1995).

Living in complex social environments consists not only of sets of individuals with their own dyadic relationships but also whose own dyadic relationships with other group members must be observed and inferred from. Credibility enhancing displays may provide one effective tool for dealing with complex social environments by extracting and integrating adaptive information from an immense range of potential social partners. Organized religious beliefs typical of routine rituals and standardized religious ideologies may serve as one type of credibility cue. The aim of this study was to assess how others judge adult's expressing a religious, spiritual, or natural explanation on traits associated with Positive Affect, Negative Affect, and Intelligence. Results from the study revealed that religious explanations were more affective than spiritual explanations at influencing perceptions of Positive-Affect and Negative Affect for those high and low in religious beliefs. / Includes bibliography. / Thesis (M.A.)--Florida Atlantic University, 2010. / FAU Electronic Theses and Dissertations Collection

We describe groups of positive type and prove that a group G is of positive type if and only if G admits a non-trivial partition. We completely classify groups of type 2, and present examples of other groups of positive type as well as groups of type zero.

Digitized by Kansas Correctional Industries

Thesis. 1975. Ph.D.--Massachusetts Institute of Technology. Dept. of Mathematics. / Includes bibliographical references. / Ph.D.

Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1981. / MICROFICHE COPY AVAILABLE IN ARCHIVES AND SCIENCE. / Bibliography: leaves 79-81. / by Ranee Kathryn Gupta. / Ph.D.

Why have group-party alliances become more common since the mid-twentieth century? This dissertation employs both qualitative and statistical tools to address the puzzle of contemporary special interest partisanship. After tracing partisanship across several measures, I develop a continuum of group-party relationships, running from fluid, unstructured interactions (akin to political pluralism) to highly institutionalized alliances (as we might see in a firm). Drawing on pluralist scholarship and theories of firm formation and evolution, I explore the costs and benefits of different arrangements, and explain why we might expect to see movement along the continuum over time. On the one hand, pluralism offers flexibility to parties and groups, and alliances have little value when parties are too weak to discipline their members in Congress. On the other, institutionalized alliances offer significant efficiency gains, which are especially valuable during periods of growth. I argue that changes in group-party relations stem from the growth of national party organizations over the second half of the twentieth century, which increased the value of group resources and intensified parties' need for efficiency. Until this period, parties were weak on the national level and strong on the state and local levels, and patronage was the primary currency of politics, leaving little room for issues in political competition. The New Deal's historic expansion of federal power disrupted this balance, temporarily strengthening local parties by offering new sources of patronage, while also sparking gradual, interconnected processes that would ultimately undermine machine power--most notably, the growth of groups and the rise of issue politics as a site of electoral competition. Realizing the economies of scale necessary to build strong national parties required movement away from pluralism into more structured, long-term relationships. Moreover, in order for the new site of competition to help Republicans build a coalition to compete with the long-dominant New Deal Democrats, distinct issue positions were necessary. The result of this party-building process is a pattern of group-party alliances quite unlike the bipartisan relations V.O. Key, David Truman, and others observed in the mid-twentieth century.

We extend Urban's construction of eigenvarieties for reductive groups G such that G(R) has discrete series to include characteristic p points at the boundary of weight space. In order to perform this construction, we define a notion of "locally analytic" functions and distributions on a locally Q_p-analytic manifold taking values in a complete Tate Z_p-algebra in which p is not necessarily invertible. Our definition agrees with the definition of locally analytic distributions on p-adic Lie groups given by Johansson and Newton.