Departamento de Matemática
URI permanente desta comunidadehttps://repositorio.fei.edu.br/handle/FEI/789
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- Stopping probabilities for patterns in markov chains(2014-03-05) GAVA, R. J.; SALOTTI, D.Consider a sequence of Markov-dependent trials where each trial produces a letter of a finite alphabet. Given a collection of patterns, we look at this sequence until one of these patterns appears as a run. We show how the method of gambling teams can be employed to compute the probability that a given pattern is the first pattern to occur. © Applied Probability Trust 2014.
- Sustainability reports in Brazil through the lens of signaling, legitimacy and stakeholder theories(2017-01-05) Ching, H. Y.; Fábio Gerab© 2017 Emerald Publishing Limited.Purpose - The purpose of this paper is to extend the applicability of stakeholder, legitimacy and signaling theories by examining to what extent proactive corporate social responsibility disclosures are interrelated to attempt to gain and maintain legitimacy, to gain support of the stakeholders and to reduce information asymmetry. Design/methodology/approach - To test the theoretical arguments, a longitudinal approach over a five-year period of 145 companies' sustainability reports and statistical analysis was applied to investigate the evolution of their quality. Findings - The results show a significant increase in the quality of sustainability reporting, and the experience gained while writing these reports can contribute to this. Based on signaling and legitimacy theories, this paper suggests that improvement in sustainability reporting quality acts as an important signal to gain legitimacy in case of information asymmetry during the legitimacy process. Th disclosure for economic and social dimensions is better than that of the environmental dimension, and the improvement in quality over time is the because of synergies and interlinkages more between these two dimensions of sustainability, and to a lesser extent because of the environmental dimension. Practical implications - Firms should view investing in sustainability reporting disclosure as a strategy for obtaining business legitimacy. Originality/value - The results of this paper are of interest for several reasons: extend and broaden the use of signaling in studying its use on sustainability reporting; the use of three theories is an appropriate framework for empirical analysis of sustainability reporting disclosure quality in Brazil; and add to the scarce evidence of sustainability reporting in Brazil.
- Characterization of heterogeneities in grain size by network analysis(2017-05-01) DUTRA, J. C.; DE OLIVEIRA, T. E.© 2017 Elsevier Inc.Heterogeneities in grain size are very common, mainly when phenomena such as abnormal grain growth is taking place. A new method to measure them is put forward. It is based on network analysis in which an adjacent matrix is built from a microstructure consisting of single-phase grains. In this approach, grains are nodes whereas their boundaries are ties. Both the degree centrality of nodes and the degree centrality of group of grains were calculated as well as their significance and deviations. Results have shown that the present method is capable to show significant differences in these properties, one order of magnitude, even if the microstructures are slightly heterogeneous. Methods involving statistical and non-linear regression analysis are also presented and compared with the new one and it is shown that these methods have more arbitrariness than the new one.
- Good codes from metacyclic groups II(2022-02-01) Samir Assuena© 2022 World Scientific Publishing Company.In this paper, we consider semisimple group algebras qG of split metacyclic groups over finite fields. We construct left codes in qG in the case when the order G is pmâ.,"n, where p and â.,"are different primes such that gcd(q,p,â.,") = 1 extend the construction described in a previous paper, determine their dual codes and find some good codes.
- Education, school and school mathematics: meanings of the basic education mathematics teachers*(2021-01-05) GODOY, E. V.; Fábio Gerab; SANTOS, V. D. M.© 2021. All Rights Reserved.The mathematics teacher initial training has been the subject of discussion in the governmental spheres and in the Brazilian Societies of Mathematical Education and of Mathematics. As a consequence of this, we notice advances in some critical points, among which stands out - the excess of academic mathematics disarticulated from the school mathematics; and - the approximation of the mathematics education theoretical-methodological trends with the mathematics undergraduate courses curricular organization. However, there are still absent the conversations involving the different and varied dimensions that interfere in the teaching and learning process of school mathematics; and the different curriculum theories. As a result, the neutrality of mathematical knowledge and the excessive concern with the normative dimension of the curriculum continue being protagonists in the mathematics teacher initial training. In this sense, this article aimed to investigate aspects related to the perception and understanding of basic education mathematics teachers about the school subjects, the school, the school education and about being a math teacher. Methodologically, it is included in a quali-quantitative research approach, in which, in order to achieve the project's objectives, a field research, through a questionnaire available in the “Google docs”, was carried out with the public network mathematics teachers from Sao Paulo state. Theoretically, it was based on studies about curriculum theories. It was tangible that the collaborating teachers are still very attached to the normative dimension of the curriculum, always prioritizing what to teach, how to teach and how to evaluate, without worrying about other dimensions (cultural, social, political) that interfere in the curriculum organization.of the school mathematics.
Artigo A divulgação de conhecimentos científicos no Brasil entre os séculos XVIII e XIX : comentários e reflexões(2019-07-07) TRENTIN, Paulo HenriqueEste texto comenta e apresenta reflexões em relação aos argumentos apresentados por autores, tradutores e outros responsáveis pela divulgação dos conhecimentos científicos no Brasil, do final do século XVIII ao início do século XIX. Selecionamos para a análise as seguintes obras: Elementos de Astronomia, 1813, Tratado Elementar de Mechanica, 1812, Tratado de Optica, 1813, Tratado Elementar de Physica tomo II, 181 e o Jornal O Patriota, 1813-1814. A análise identifica algumas expectativas manifestadas pelos autores, tradutores e editores dos textos selecionados, como motivações sociais, políticas ou econômicas. Especificamente, destaca-se a relevância de anseios, desejos e expectativas manifestações dos autores dos textos para além da influência do ambiente social, político e econômico ao qual pertenciam. O estudo nos permitiu considerar que não há resposta definitiva acerca das ambições ou expectativas motivaram a divulgar conhecimentos científicos. Porém, no que se refere à “utilidade” que atribuíam ao conhecimento divulgado, foi possível tecer algumas considerações que deverão contribuir para a historiografia acerca do tema.Artigo Transformações lineares planas: um estudo com base nos registros de representação semiótica e na utilização da geometria dinâmica(2009-06-05) KARRER, Monica; JAHN, A.P.Este artigo apresenta um estudo relativo ao ensino e à aprendizagem da noção de transformação linear. Baseados em considerações teóricas sobre registros de representação semiótica e aprendizagem em Matemática, foram realizadas análises de livros didáticos e de um questionário aplicado a oitenta e seis estudantes universitários da área computacional. Estes estudos apontaram deficiências com relação ao uso dos registros numérico-tabular e gráfico de uma transformação linear. Utilizando a metodologia de design experiment,foram elaboradas e aplicadas atividades envolvendo diversas representações de transformações planas, nos ambientes Cabri-Géomètre e papel&lápis. Os principais resultados deste experimento são aqui relatados, destacando-se o papel do softwareutilizado- The quality of sustainability reports and corporate financial performance: evidence from Brazilian listed companies(2017) Ching, H.Y.; GERAB, F.; TOSTE, T.
- Análise das interações curriculares em um curso de ciência da computação: buscando subsídios para aprimoramento curricular(2014) GERAB, Fábio; BUENO, I. A. M.; GERAB, I. F. da S.O processo de mudança curricular deve estar alicerçado em evidências institucionais de mudanças. Neste sentido, o presente trabalho objetiva caracterizar e discutir as interações curriculares em um curso de Ciência da Computação a partir do desempenho dos alunos egressos. Os dados de desempenho foram submetidos à Análise de Componentes Principais e à Análise por Agrupamento Hierárquico para identificar eventuais correlações entre: o rendimento nas distintas disciplinas, a influência da classificação no exame de ingresso e o tempo necessário para a conclusão do curso. Observou-se a associação de disciplinas em nove grupos, com destaque para o agrupamento rotulado de “Básicas”, que interfere na duração do curso. Notou-se que o desempenho no vestibular perde sua importância no decorrer do curso. Compreender estas relações pode contribuir para a melhoria do curso de Ciência da Computação e favorecer o bom aproveitamento do aluno.
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