{"id":129838,"date":"1996-01-01T00:00:00","date_gmt":"1996-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/computacion-simbolica-de-ecuaciones-funcionales-y-aplicaciones\/"},"modified":"1996-01-01T00:00:00","modified_gmt":"1996-01-01T00:00:00","slug":"computacion-simbolica-de-ecuaciones-funcionales-y-aplicaciones","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/computacion-simbolica-de-ecuaciones-funcionales-y-aplicaciones\/","title":{"rendered":"Computacion simbolica de ecuaciones funcionales y aplicaciones."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Andres Iglesias Prieto <\/strong><\/h2>\n<p>En esta tesis se analiza el problema de la computacion simbolica de las ecuaciones funcionales, asi como sus aplicaciones en diversor ambitos de la ciencia. Las aportaciones mas relevantes de esta tesis son:  -descripcion de los principales metodos de resolucion de ecuaciones funcionales asi como de los algoritmos necesarios para su implementacion.  &#8211; analisis de las posibilidades de integracion de tales algoritmos en un programa de computacion simbolica.  &#8211; dise\u00f1o e implementacion del primer programa de resolucion de ecuaciones funcionales integrado en un paquete de computacion simbolica de proposito general: el programa mathematica. Se han implementado el paquete fsolve que permite la resolucion simbolica de las ecuaciones funcionales mas importantes para diferentes dominios y clases. Asimismo, se ha implementado en el paquete fsubstitutions el metodo de sustitucion de variables por valores dados.  -desarrollo de paquetes en mathematica para resolucion de algunos tipos especiales de ecuaciones funcionales. Se ha implementado el paquete functionalequations para resolver ecuaciones funcionales de un tipo especial muy utilizado en la ciencia aplicada.  -aplicacion de los paquetes anteriores a diversos problemas de estadistica (caracterizacion de distribuciones bivariadas con distintos tipos de condicionales). Dise\u00f1o geometrico asistido por ordenador (caracterizacion de ciertas superficies en explicitas, implicitas, y parametricas).  -analisis de la relacion entre las ecuaciones diferenciales y las ecuaciones funcionales.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Computacion simbolica de ecuaciones funcionales y aplicaciones.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Computacion simbolica de ecuaciones funcionales y aplicaciones. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Andres Iglesias Prieto <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Cantabria<\/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>Enrique Castillo Ron<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Eduardo Mora Monte <\/li>\n<li>Mar\u00eda Santos Tomas (vocal)<\/li>\n<li>Claudi Alsina Catala (vocal)<\/li>\n<li>Jos\u00e9 Mar\u00eda Sarabia Alegria (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Andres Iglesias Prieto En esta tesis se analiza el problema de la computacion simbolica de las ecuaciones [&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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