111 resultados para Axiomas de Eilenberg-Steenrod


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Incluye Bibliografía

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Pós-graduação em Filosofia - FFC

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Pós-graduação em Matemática Universitária - IGCE

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Pós-graduação em Matemática em Rede Nacional - IBILCE

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Pós-graduação em Educação Matemática - IGCE

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In this paper we introduce a type of Hypercomplex Fourier Series based on Quaternions, and discuss on a Hypercomplex version of the Square of the Error Theorem. Since their discovery by Hamilton (Sinegre [1]), quaternions have provided beautifully insights either on the structure of different areas of Mathematics or in the connections of Mathematics with other fields. For instance: I) Pauli spin matrices used in Physics can be easily explained through quaternions analysis (Lan [2]); II) Fundamental theorem of Algebra (Eilenberg [3]), which asserts that the polynomial analysis in quaternions maps into itself the four dimensional sphere of all real quaternions, with the point infinity added, and the degree of this map is n. Motivated on earlier works by two of us on Power Series (Pendeza et al. [4]), and in a recent paper on Liouville’s Theorem (Borges and Mar˜o [5]), we obtain an Hypercomplex version of the Fourier Series, which hopefully can be used for the treatment of hypergeometric partial differential equations such as the dumped harmonic oscillation.

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Pós-graduação em História - FCHS

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Pós-graduação em Matemática em Rede Nacional - IBILCE

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Pós-graduação em Matemática em Rede Nacional - IBILCE

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Pós-graduação em Matemática em Rede Nacional - IBILCE

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Pós-graduação em Matemática Universitária - IGCE

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Different vocabularies and contexts are barriers to the communication between people or software systems. It is necessary a common understanding in the domain that is talked about, so it can be obtained a correct interpretation of the information. An ontology formally models the structure of a domain and turn explicit the shared understanding in the form of concepts and relations that emerge from its observation. Constitutes a sort of framework used in the mapping to the meaning of the information that is talked about. The formal accuracy in which they are defined, by means of axioms, allow machine processing, implicating in systems interoperability. Structured this way, the knowledge is easily transferred between people or systems from different contexts. Ontologies present several applications nowadays. They are considered the infra-structure to the Semantic Web, which is composed by Web resources with embedded meaning. Thereby, the automatic execution of complex tasks is allowed, with the benefit from the effective communication between Web software agents. Among other applications, they also have been used to structure the knowledge generated from several areas, like Biology and Software Engineering.

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Pós-graduação em Matemática Universitária - IGCE

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Fil: Jesinghaus, Carlos.

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La propuesta presenta la perspectiva integral y natural desde la Orientación en sí misma, ofreciendo el sustento para promover el debate sobre el manejo y el dominio de perspectivas físicas y geográficas. Toma al ser humano como el sujeto, en este caso como el observador terrestre. Se ha desarrollado un marco teórico sustentado por axiomas, los cuales permiten la discusión sobre el uso de perspectivas, su aplicación en el conocimiento, la educación, el replanteamiento epistemológico y la definición de una identidad global. Este planteamiento busca generar una nueva línea de discusión, una propuesta científicamente cuestionadora de la hegemonía del pensamiento geográfico y que brinde nuevas matrices de racionalidad geográfica