{"id":131507,"date":"1996-01-01T00:00:00","date_gmt":"1996-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/sobre-una-representacion-de-los-numeros-reales-basada-en-la-identificacion-del-continuo-01-con-las-partes-de-n\/"},"modified":"1996-01-01T00:00:00","modified_gmt":"1996-01-01T00:00:00","slug":"sobre-una-representacion-de-los-numeros-reales-basada-en-la-identificacion-del-continuo-01-con-las-partes-de-n","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/sobre-una-representacion-de-los-numeros-reales-basada-en-la-identificacion-del-continuo-01-con-las-partes-de-n\/","title":{"rendered":"Sobre una representacion de los numeros reales basada en la identificacion del continuo (0,1) con las partes de n."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Jaume Paradis Balaux <\/strong><\/h2>\n<p>Se estudia el sistema de representacion de los numeros reales de (0,1) a partir de las series alternadas de fracciones unitarias multiplicativas (safum), tambien conocidas como series de pierce.Se obtienen resultados sobre desarrollos finitos e infinitos, en especial sobre desarrollos de algunos irracionales cuadraticos.Se propone una ordenacion computable de los numeros racionales. Inspirada en ella, se define un operadord siguiente en las partes del conjunto de numeros naturales, que se extiende a los reales de (0,1). Asi se obtienen fibras de reales que siendo densas en (0,1), estan compuestos por numeros de la misma naturaleza (racionales, irracionales, trascendentes).  tambien se abordan cuestiones de la metrica del sistema de representacion. Los teoremas basicos se utilizan para la construccion de conjuntos generalizados de cantor de medida prefijada.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Sobre una representacion de los numeros reales basada en la identificacion del continuo (0,1) con las partes de n.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Sobre una representacion de los numeros reales basada en la identificacion del continuo (0,1) con las partes de n. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Jaume Paradis Balaux <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de catalunya<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1996<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Juan  Jos\u00e9 Egozcue Rub\u00ed<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Josep Grane Manlleu <\/li>\n<li>Josep Mar\u00eda Fortuny Aymemich (vocal)<\/li>\n<li>Manuel Casteleiro Maldonado (vocal)<\/li>\n<li>Oriol Serra Alb\u00f3 (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Jaume Paradis Balaux Se estudia el sistema de representacion de los numeros reales de (0,1) a partir [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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