{"id":23598,"date":"2018-03-09T09:14:13","date_gmt":"2018-03-09T09:14:13","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/geometria-dinamica-inteligente\/"},"modified":"2018-03-09T09:14:13","modified_gmt":"2018-03-09T09:14:13","slug":"geometria-dinamica-inteligente","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/vigo\/geometria-dinamica-inteligente\/","title":{"rendered":"Geometria din\u00e1mica inteligente"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Valcarce G\u00f3mez Jos\u00e9 Luis <\/strong><\/h2>\n<p>Los sistemas de geometr\u00eda din\u00e1mica (sgd) se han desarrollado a partir de los a\u00f1os 80, mejorando principalmente aspectos relacionados con la interface de usuario o incorporando nuevos objetos matem\u00e1ticos. Pero la herramienta matem\u00e1tica utilizada en su desarrollo limita su crecimiento en otras direcciones. por otro lado se publica a finales de los 70 un m\u00e9todo autom\u00e1tico de demostraci\u00f3n de teoremas de geometr\u00eda. Posteriormente son utilizadas las bases de groebner para la demostraci\u00f3n y el descubrimiento de propiedades geom\u00e9tricas. Los sistemas de algebra computacional pueden ser utilizados para incorporar estas herramientas.  en la tesis se desarrolla un sgd en el que se incorporan los m\u00e9todos de deduci\u00f3n autom\u00e1tica en geometr\u00eda mediante la utilizaci\u00f3n de mathematica y cocoa.  en el cap\u00edtulo i se analizan las limitaciones de los sgd relativas a la generaci\u00f3n de lugares geom\u00e9tricos y a los sistemas de deducci\u00f3n autom\u00e1tica que incorporan. Tambi\u00e9n se repasa la historia de la reducci\u00f3n autom\u00e1tica en geometr\u00eda. En el cap\u00edtulo ii se describe la construcci\u00f3n del sistema gdi, presentando la estructura de datos y los algoritmos b\u00e1sicos utilizados para la manipulaci\u00f3n gr\u00e1fica de los objetos geom\u00e9tricos. Para la incorporaci\u00f3n de las herramientas del \u00e1lgebra computacional es necesaria una descripci\u00f3n algebr\u00e1ica de las configuraciones geom\u00e9tricas.  el cap\u00edtulo tercero presenta los algoritmos utilizados para ello.  en el cap\u00edtulo iv se dan las bases matem\u00e1ticas de los dos m\u00e9todos de demostraci\u00f3n que utiliza gdi (wu y bases de groehner) y se explica como est\u00e1n implementados en gdi. El cap\u00edtulo v est\u00e1 dedicado al descubrimiento de propiedades, lugares geom\u00e9tricos, envolventes, c\u00e1usticas y podarias. Se proporcionan los fundamentos te\u00f3ricos de estas funcionalidades y se presentan diversos ejemplos que muestran las potencialidades de gdi. En el cap\u00edtulo vi se analizan las implicaciones en la ense\u00f1anza dela g<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Geometria din\u00e1mica inteligente<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Geometria din\u00e1mica inteligente <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Valcarce G\u00f3mez Jos\u00e9 Luis <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Vigo<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 16\/06\/2003<\/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>Francisco Botana Ferreiro<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: tomas Recio mu\u00f1iz <\/li>\n<li>Antonio Bahamonde rionda (vocal)<\/li>\n<li> Barja p\u00e9rez Jos\u00e9 Mar\u00eda (vocal)<\/li>\n<li>eugenio Roanes lozano (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Valcarce G\u00f3mez Jos\u00e9 Luis Los sistemas de geometr\u00eda din\u00e1mica (sgd) se han desarrollado a partir de los [&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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