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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

Os sistemas completos de desigualdades propostos por Santaló.

Santos, Bruno Mendonça Rey dos 20 March 2007 (has links)
Made available in DSpace on 2016-06-02T20:28:22Z (GMT). No. of bitstreams: 1 DissBMRS.pdf: 1154928 bytes, checksum: 924e6444b56d0ec4a8d35192450c515c (MD5) Previous issue date: 2007-03-20 / Financiadora de Estudos e Projetos / In 1961, Santaló[21] suggested that, considering the family of the convex bodies in R2, it was found a complete system of inequalities for each pair and each triple of the functions area, perimeter, diameter, inradius, circunradius and minimal width. In this work, we applied the technique developed by Blaschke[2] to solve all problems suggested by Santaló, those are solved until now. / Santaló propôs (em [21]) que, fixada a família C dos corpos convexos de R2, fosse encontrado um sistema completo de desigualdades para cada par e cada tripla das funções área, perímetro, diâmetro, inraio, circunraio e largura mínima. Neste trabalho, estudamos a aplicação da técnica desenvolvida por Blaschke na resolução dos problemas propostos por Santaló que, até hoje, já se encontram solucionados.

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