{"id":145646,"date":"1993-01-01T00:00:00","date_gmt":"1993-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/automatizacion-e-implementacion-de-algunos-problemas-algebraicos-y-geometricos\/"},"modified":"1993-01-01T00:00:00","modified_gmt":"1993-01-01T00:00:00","slug":"automatizacion-e-implementacion-de-algunos-problemas-algebraicos-y-geometricos","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/automatizacion-e-implementacion-de-algunos-problemas-algebraicos-y-geometricos\/","title":{"rendered":"Automatizacion e implementacion de algunos problemas algebraicos y geometricos"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Eugenio Roanes Lozano <\/strong><\/h2>\n<p>El trabajo desarrollado se inicio con el proyecto de investigacion \u00absimulacion informatica de problemas algebraicos y geometricos\u00bb (ucp40\/87). En los tres primeros capitulos se efectua una adaptacion de varios problemas, construyendo algoritmos apropiados conducentes a su implementacion. Estos son: automatizacion e implementacion del grupo equiforme de transformaciones geometricas de r2, simulacion de los 17 grupos de simetria de r2, a traves de la generacion constructiva de mosaicos periodicos, simulacion de la transformacion \u00abinversion\u00bb y su aplicacion al problema de apolonio. Para efectuar la implementacion con los requerimientos deseados, se desarrolla una adaptacion apropiada de la \u00abturtle geometry\u00bb, denominandola \u00abturtgeom\u00bb. Y en el cuarto capitulo se aplican metodos algebraicos de demostracion automatica (de las bases de groebner y ritt-wu) a probar un teorema geometrico. Tambien se automatiza un criterio original de no-ramificacion de ideales primos de un anillo de polinomios al extender a una k-algebra finitamente generada.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Automatizacion e implementacion de algunos problemas algebraicos y geometricos<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Automatizacion e implementacion de algunos problemas algebraicos y geometricos <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Eugenio Roanes Lozano <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1993<\/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>Manuel Abellanas Oar<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Gregorio Hern\u00e1ndez Pe\u00f1alver <\/li>\n<li>Juan Llovet Verdugo (vocal)<\/li>\n<li>Luis Mar\u00eda Laita De La Rica (vocal)<\/li>\n<li> Bujanda Jauregui Mar\u00eda  Paz (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Eugenio Roanes Lozano El trabajo desarrollado se inicio con el proyecto de investigacion \u00absimulacion informatica de problemas [&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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