Pole type singularities and the numerical conformal mapping of doubly-connected domains

Let f be the function which maps conformally a given doubly-connected domain onto a circular annulus, and let Ω H(z) = f '(z) / f(z) - 1/z . In this paper we consider the problem of determining the main singularities of the function H in compl)(Ω∂∪Ω. Our purpose is to provide information regarding the location and nature of such singularities, and to explain how this information can be used to improve the efficiency of certain expansion methods for numerical conformal mapping

The determination of the poles of the mapping function and their use in numerical conformal mapping

Let f be the function which maps conformally a simply-connected domain Ω onto the unit disc. This paper is concerned with the problem of determining the dominant poles of f in comp1(Ω∩∂Ω), and of using this information in order to obtain accurate numerical approximations to f by means of the Bergman kernel method

The treatment of corner and pole-type singularities in numerical conformal mapping techniques

This paper is a report of recent developments concerning the nature and the treatment of singularities that affect certain numerical conformal mapping techniques. The paper also includes some new results on the nature of singularities that the mapping function may have in the complement of the closure of the domain under consideration

Numerical techniques for conformal mapping onto a rectangle

This paper is concerned with the problem of determining approximations to the function F which maps conformally a simply-connected domain onto a rectangle R, so that four specified points on are mapped Ω∂respectively onto the four vertices of R. In particular, we study the following two classes of methods for the mapping of domains of the form . (i) Methods which approximate where f is an approximation to the conformal map of Q onto the unit disc, and S is a simple Schwarz-Christoffel transformation. (ii) Methods based on approximating the conformal map of a certain symmetric doubly-connected domain onto a circular annulus. Keywords: Conforma

Long-term Societal Impacts of Conditional Cash Transfers: Bolsa Família a Decade in

Conditional Cash Transfers (CCTs) are innovative poverty intervention programs that have been adapted and adopted in dozens of countries around the world. The effectiveness of the programs in the short-term have been established by a number of studies, but they have only recently been around long enough to begin to observe whether they indeed disrupt the inter-generational poverty cycle as claimed. The expected long-term effects are central to the appeal of CCT programs. This empirical study examines the data to determine whether there is evidence that the long-term effects are as apparent as the short-term effects in one of the original adopters, Brazil. The analysis examines municipal level government data using OLS regression and finds evidence that CCTs raised 8th grade graduation rates and lowered unemployment and birthrates. The conclusion is that, at least in Brazil, CCTs seem to be making headway in changing conditions that often lead to inter-generational poverty cycles

Formative evaluation: An instrument to measure the effects of using the Universal Format

An instrument to measure the effects of using the Universal Format for translating research to practice was developed. Measures of teachers, responses concerning the benefits, knowledge of research practices (informed status), and beliefs toward research-based knowledge were formatively evaluated. Five developmental phases were employed to identify, develop, and field-test a questionnaire and a training module with teachers enrolled in university coursework; A quasi-experimental design was utilized including an experimental and a control group. Subjects in the experimental group received training in using the Universal Format and translated research articles. Subjects in the control group translated research articles, but received no training module. Expert evaluation, subject feedback, and data were used to determine the merit of the questionnaire and training in validating the use of the Universal Format. Results indicated that the questionnaire was useful in evaluating pre- and post-test performance regarding research-based knowledge under experimental conditions. Experimental subjects significantly improved in positive responses between pre- and post-test toward the benefits, informed status, and beliefs concerning research-based knowledge. They also had a significant improvement in their translation of research articles for classroom applications. Control group subjects significantly improved in positive responses between pre- and post-test concerning benefits, informed status, and beliefs concerning research-based knowledge; They did not experience significant improvement in the translation of research articles for classroom applications. Implications for continued use of the questionnaire and training module with the Universal Format for further evaluation in a representative field test are discussed

The treatment of corner and pole-type singularities in numerical conformal mapping techniques

AbstractThis paper is a report of recent developments concerning the nature and the treatment of singularities that affect certain numerical conformal mapping techniques. The paper also includes some new results on the nature of singularities that the mapping function may have in the complement of the closure of the domain under consideration

A Critical Enquiry into the Metaphysics for Mind Uploading

Mind uploading is a fascinating possibility that asks us to imagine a person being instantiated in a substrate other than their biological body, such as a person continuing in a robot/computer. The current thesis takes a philosophical stance and enquires as to what the nature of minds and persons would need to be in order for such a scenario to be feasible and presented multiple realizable physicalism and psychological continuity as the two primary categories of necessary and sufficient metaphysical conditions. The thesis explores the mind within the context of the mind-body problem and presents a novel version of physicalism (multiple realizable physicalism) as the central concept amongst disparate philosophy of mind stances that would allow for the mind upload. The current thesis also introduces various concepts (e.g., nomological boundaries) and emphasised others (e.g., category mistakes) to demonstrate the feasibility of mind uploading through the argument that the mind is likely multiple realizable and of a physical substrate (multiple realizable physicalism). The current thesis then, in relation to persons, explores the persistence problem and determines that a psychological (as opposed to biological) solution is the preferred stance that would allow for mind uploading. In essence, if a person is a mind (psychology) and this mind is said to continue, then it should not matter whether the mind continues in biological body or in an alternative substrate (such as a computer). What matters is the continuity of the mind (the psychological solution). The thesis integrates multiple philosophical stances using these two primary categories of multiple realizable physicalism and psychological continuity and presents various constraints that may emerge in relation to various preferences within these two primary categories. Furthermore, the current thesis argues that a possible solution to the mind–body problem and the persistence problem may be found in identifying both the mind and the person with the processes of the substrate. In this sense, both minds and persons are not the physical substrate that instantiates these phenomena (i.e., minds and persons are not the body) but rather these phenomena (minds and persons) are the processes instantiated. A person/mind is what the body does and not the body that performs these processes. This identification of processes could in principle allow for all forms of mind uploading. In addition the current thesis presents a novel view of the self (here meaning both the mind and the person) as relating to specific types of processes (efferent processes).Thesis (PhD (Philosophy))--University of Pretoria 2021.PhilosophyPhD (Philosophy)Unrestricte