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Este trabalho é um estudo realizado em torno das principais curvas cônicas estudadas por alunos do ensino básico: parábola, elipse e hipérbole. A ideia central do trabalho é a autosuficiência, pois apresentamos todas as ferramentas matemáticas necessárias para o entedimento desses entes e suas aplicações, desde os axiomas iniciais da geometria plana até as definições formais das cônicas e demonstrações de suas propriedades. Espera-se que uma pessoa não especializada em matemática, ao ler o trabalho, entenda toda a matemática no entorno das aplicações dessas cônicas. / This work is a study carried out around the main conic curves studied by elementary school students: parabola, ellipse and hyperbola. The main idea of this work is to be self-contained, starting from the basic axioms from the geometry and after we present formal definitions, properties and applications of conics in the everyday life. It is expected that a person that is not a specialist in mathematics, are able to read and understand all the mathematics in the surroundings of the applications of these conics.

Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 1982. / MICROFICHE COPY AVAILABLE IN ARCHIVES AND ENGINEERING. / Vita. / Bibliography: leaves 113-116. / by James R. Rinderle. / Ph.D.

Este trabalho tem como foco a dobradura em sala de aula, auxiliando o professor em sua prática docente. Com dobras simples de serem realizadas a dobradura pode auxiliar o aluno a desenvolver a concentração, estimular a criatividade, concretizar uma ideia ou pensamento no momento em que surge a foma no papel e, consequentemente, o aluno interioriza o aprendizado desejado. Os tópicos estudados versam sobre a construção dos principais polígonos regulares e de um sólido espacial, o tetraedro. São também estudadas algumas aplicações aritméticas, como divisão de segmentos e raízes quadradas e cúbicas. / This work aims to study the activity of paper folding in the classroom as an auxiliary resource for the teacher. The folders are quite simple and will improve the students skills on concentration, creativity, and the ability to realize on paper his/her thoughts and ideas. The covered topics range from the construction of the main regular poligons, a spatial solid (tetrahedron), through some arithmetic applications, like division of a segment and square and cubic roots.

This paper presents a proof that the classical geometry as stated by Karol Borsuk [1] follows from the join geometry of Walter Prenowitz [2]. The approach taken is to assume the axioms of Prenowitz. Using these as the foundation, the theory of join geometry is then developed to include such ideas as 'convex set', 'linear set', the important concept of 'dimension', and finally the relation of 'betweenness'. The development is in the form of definitions with the important extensions given in the form of theorems. With a firm foundation of theorems in the join geometry, the axioms of classical geometry are examined, and then they are proved as theorems or modified and proved as theorems. The basic notation to be used is that of set theory. No distinction is made between the set consisting of a single element and the element itself. Thus the notation for set containment is ⊂, and is used to denote element containment also. The set containing no elements, or the empty set, is denoted by Ø, The set of points belonging to at least one of the sets under consideration is called union, denoted ∪. The set of points belonging to each of the sets under consideration is called the intersection and denoted by ∩. Any other notation used will be defined at the first usage.

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Beliefs are social in nature. and are widely shared within social groups, such as cultures. Shared beliefs reflect how people construct their social world and how they seek meaning and understanding of social realities. and they are context specific. General beliefs are context free and related to a wide spectrum of social behaviours across diverse contexts, actors, targets and periods. These general beliefs function like axioms in mathematics, thus they are basic premises that people endorse and on which they rely to guide their actions. A better understanding of beliefs can therefore be a useful instrument in managing a diverse workforce, such as the workforce found in South Africa. The objectives of this study were to investigate the replicability of the Social Axioms Survey (SAS) in the South African Police Service (SAPS), to examine the construct equivalence and item bias. and to assess the reliability. A cross-sectional survey design was used. The study population consisted of applicants (N=1535) who applied for jobs in the SAPS. The SAS instrument was administered. Descriptive statistics, exploratory and confirmatory factor analyses, scale and item level analysis and estimation of reliability were used to analyse the results. An exploratory factor analysis utilising target rotation applied on all 60 items of the SAS revealed four interpretable factors (Factor 1 = Social Cynicism; Factor 2 = Reward for Application; Factor 4 = Fate Control; and Factor 5 = Spirituality Religiosity) congruent with the model of Leung et al. (2002). The third factor, namely Social Complexity did not replicate. Values of Tucker's phi higher than 0.90 were found for seven culture groups (Zulu, Sotho, Tswana, Swati, Tsonga, Venda and Pedi). This provided a strong indication of the structural equivalence. Analyses of variance showed that item bias was not a major disturbance. Cronbach's alpha reported lower levels of reliability. Recommendations for future research were made. / Thesis (M.A. (Industrial Psychology))--North-West University, Potchefstroom Campus, 2007.

Beliefs are social in nature. and are widely shared within social groups, such as cultures. Shared beliefs reflect how people construct their social world and how they seek meaning and understanding of social realities. and they are context specific. General beliefs are context free and related to a wide spectrum of social behaviours across diverse contexts, actors, targets and periods. These general beliefs function like axioms in mathematics, thus they are basic premises that people endorse and on which they rely to guide their actions. A better understanding of beliefs can therefore be a useful instrument in managing a diverse workforce, such as the workforce found in South Africa. The objectives of this study were to investigate the replicability of the Social Axioms Survey (SAS) in the South African Police Service (SAPS), to examine the construct equivalence and item bias. and to assess the reliability. A cross-sectional survey design was used. The study population consisted of applicants (N=1535) who applied for jobs in the SAPS. The SAS instrument was administered. Descriptive statistics, exploratory and confirmatory factor analyses, scale and item level analysis and estimation of reliability were used to analyse the results. An exploratory factor analysis utilising target rotation applied on all 60 items of the SAS revealed four interpretable factors (Factor 1 = Social Cynicism; Factor 2 = Reward for Application; Factor 4 = Fate Control; and Factor 5 = Spirituality Religiosity) congruent with the model of Leung et al. (2002). The third factor, namely Social Complexity did not replicate. Values of Tucker's phi higher than 0.90 were found for seven culture groups (Zulu, Sotho, Tswana, Swati, Tsonga, Venda and Pedi). This provided a strong indication of the structural equivalence. Analyses of variance showed that item bias was not a major disturbance. Cronbach's alpha reported lower levels of reliability. Recommendations for future research were made. / Thesis (M.A. (Industrial Psychology))--North-West University, Potchefstroom Campus, 2007.

The desire to understand and model the complex phenomenon of economic growth has been an old and interesting pursuit. Many such models have been proposed and two of the most prominent canditates are the Solow-Swan and Romer models. This paper investigates the similarities and differences of the a priori mentioned models on a balanced growth path and on a partial transition dynamics - only the capital dynamics - using numerical simulations. Furthermore, the problem of the speed of convergence shall be analyzed and a method for the analysis will be presented. The simulations are investigated by means of different economic scenarios, called experiments, and are used to illustrate the capabilities and incapabilities of each model. The findings of this paper are that both models are adequate for the investigation of economic growth. However, as seen by the mathematical analysis and the experiments, the incapability of the Solow-Swan model to adequately explain the technological growth rate is a strong disadvantage over the more modern Romer model. Furthermore, this paper summarizes the choices of the numerical values - using real world data - which should be used for the variables of the Solow-Swan and Romer models.

Submitted by Viviane Lima da Cunha (viviane@biblioteca.ufpb.br) on 2015-10-19T12:44:14Z No. of bitstreams: 1 arquivototal.pdf: 685310 bytes, checksum: c2f1ca276071e748c54644c3a47977f8 (MD5) / Approved for entry into archive by Maria Suzana Diniz (msuzanad@hotmail.com) on 2015-10-19T12:44:52Z (GMT) No. of bitstreams: 1 arquivototal.pdf: 685310 bytes, checksum: c2f1ca276071e748c54644c3a47977f8 (MD5) / Made available in DSpace on 2015-10-19T12:44:52Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 685310 bytes, checksum: c2f1ca276071e748c54644c3a47977f8 (MD5) Previous issue date: 2014-08-27 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / The main objective of this work is showing the importance of systems axiomatic in mathematics. We will study some classic axioms, their equivalence and we will see some applications of them. / Este trabalho tem como objetivo fazer uma abordagem sobre a importância de sistemas axiomáticos na Matemática. Estudaremos alguns axiomas clássicos, suas equivalências e veremos algumas aplicações dos mesmos.