The success of cooperative extension depends on the knowledge of how to apply the principles of extension education to situations where the activities are to be performed. The cooperative extension services dynamic localized approach to the solution of the common persons problem has stood the test of time. It is not necessary to establish a new system, but what is needed is to increase accountability and efficiency in the way programs are planned and developed. The overall purpose of this study was to develop criteria for assessing the local cooperative extension program planning process in Virginia. Specific objectives that served as a basis for accomplishing the overall purpose of the study were: 1. To identify principles that are basic for planning an effective local extension program. 2. To verify these principles with a panel of experts. 3. To formulate criteria, based on the verified principles, to assess if on-going local extension programs were developed following the accepted programming principles. 4. To field test the criteria to determine the degree to which the criteria are used as guides during the local extension program planning process. This study was a qualitative study. The principles identified and the criteria developed were reviewed by a panel of eight experts, then field tested in randomly selected extension units in the West Central Extension District of Virginia. Using personal interview methodology, unit directors of the randomly selected units were used for the field testing stage of this study. Six of the seven principles identified as basic for planning/developing effective local extension programs were accepted by the panel of experts. Eighteen criteria were formulated based on the accepted principles. Criteria as used in this study implies an overall description of a set of related actions and/or operations which will be called standards of the planning process. It was found that most of the unit directors in the West-Central Extension District of Virginia interviewed for this study use the criteria as guides during their respective programming process. The panel of experts and unit directors agreed that the criteria were important as guides for local extension programming processes. Based on the findings the author concluded that: (a) there are six essential principles for planning effective social extension programs; (b) that there are 18 criteria that can be used as guides for assessing if local extension programs are planned/developed using the essential extension program planning principles; and (c) that it is possible to assess local program planning activities in extension. A recommendation made from the study that the process of assessing local program planning activities be tested statewide to increase the usability potential of the criteria and give possible directions for statewide in-service needs of unit directors and extension agents. / Ed. D. / incomplete_metadata

Constructible numbers are the numbers that can be constructed by using compass and straightedge in a finite sequence. They can be produced from natural numbers using only addition, subtraction, multiplication, division, and square root operations. These operations can be repeated, which creates more complicated expressions for a mathematical object. Calculation by computers only gives an approximation of the exact value, which could lead to a loss of accuracy. An alternative to approximation is exact arithmetic, which is the computation to find an exact value without rounding errors. In this thesis, we have presented a method of computing with the exact value of constructible numbers, specifically the rational numbers and its field extension as well as repeated field extension, through the basic operations. However, we only limit our implementation to the quadratic polynomial and the operations between two numbers of the same extension field. Future work on polynomials with higher degrees and algorithms to include operations with numbers from different extension fields and expression of number as an element of a new extension field remains to be done.

Thesis (Ph. D.)--University of Wisconsin, 1959. / Extension Repository Collection. Typescript (carbon copy). eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves [175]-177).

It is well known that there exist domains Ω in Cn,n ≥ 2, such that all holomorphic functions in Ω continue analytically beyond the boundary. We wish to study this remarkable phenomenon. The first chapter seeks to motivate this theme by offering some well-known extension results on domains in Cn having many symmetries. One important result, in this regard, is Hartogs’ theorem on the extension of functions holomorphic in a certain neighbourhood of (D x {0} U (∂D x D), D being the open unit disc in C. To understand the nature of analytic continuation in greater detail, in Chapter 2, we make rigorous the notions of ‘extensions’ and ‘envelopes of holomorphy’ of a domain. For this, we use methods similar to those used in univariate complex analysis to construct the natural domains of definitions of functions like the logarithm. Further, to comprehend the geometry of these abstractly-defined extensions, we again try to deal with some explicit domains in Cn; but this time we allow our domains to have fewer symmetries. The subject of Chapter 3 is a folk result generalizing Hartogs’ theorem to the extension of functions holomorphic in a neighbourhood of S U (∂D x D), where S is the graph of a D-valued function Φ, continuous in D and holomorphic in D. This problem can be posed in higher dimensions and we give its proof in this generality. In Chapter 4, we study Chirka and Rosay’s proof of Chirka’s generalization (in C2) of the above-mentioned result. Here, Φ is merely a continuous function from D to itself. Chapter 5 — a departure from our theme of Hartogs-Chirka type of configurations — is a summary of the key ideas behind a ‘non-standard’ proof of the so-called Hartogs phenomenon (i.e., holomorphic functions in any connected neighbourhood of the boundary of a domain Ω Cn , n ≥ 2, extend to the whole of Ω). This proof, given by Merker and Porten, uses tools from Morse theory to tame the boundary geometry of Ω, hence making it possible to use analytic discs to achieve analytic continuation locally. We return to Chirka’s extension theorem, but this time in higher dimensions, in Chapter 6. We see one possible generalization (by Bharali) of this result involving Φ where is a subclass of C (D; Dn), n ≥ 2. Finally, in Chapter 7, we consider Hartogs-Chirka type configurations involving graphs of multifunctions given by “Weierstrass pseudopolynomials”. We will consider pseudopolynomials with coefficients belonging to two different subclasses of C(D; C), and show that functions holomorphic around these new configurations extend holomorphically to D2 .

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Call number: LD2668 .T4 1952 L6 / Master of Science

Call number: LD2668 .T4 1963 J46 / Master of Science

Call number: LD2668 .T4 1963 S71 / Master of Science

Call number: LD2668 .T4 1964 P298 / Master of Science

Published Article / The current master's degree qualification in Diagnostic Radiography at the Central University of Technology, Free State (CUT) is research based and does seemingly not address the need for training in the specialisation fields of Diagnostic Radiography sufficiently. To address this problem, a needs assessment was conducted amongst qualified diagnostic radiographers in Bloemfontein and Kimberley by means of quantitative questionnaires, qualitative interviews and a focus group discussion. The main aim of the needs assessment was to determine the need for a postgraduate qualification for radiographers in the specialised fields. The possible structure of such a program and the preferred mode of delivery were also investigated. The results of the study emphasised the need for a structured postgraduate learning programme in the specialisation fields in Diagnostic Radiography in the region. Responding to this validated need for a structured postgraduate qualification at the CUT, the current master's degree was revised to accommodate the results of the study and it was proposed to the Professional Board for Radiography and Clinical Technology for approval.