{"id":613,"date":"2025-09-04T08:50:02","date_gmt":"2025-09-04T07:50:02","guid":{"rendered":"https:\/\/mat.uab.cat\/web\/tfg\/?p=613"},"modified":"2025-09-04T08:52:25","modified_gmt":"2025-09-04T07:52:25","slug":"teoria-de-moduls-singulars","status":"publish","type":"post","link":"https:\/\/mat.uab.cat\/web\/tfg\/teoria-de-moduls-singulars\/","title":{"rendered":"Teoria de m\u00f2duls singulars"},"content":{"rendered":"\n<p>\u00c9s molt famosa la seg\u00fcent &#8220;coincid\u00e8ncia num\u00e8rica&#8221;:<br \/>\n\\[<br \/>\ne^{\\pi\\sqrt{163}} \\simeq 262537412640768743.99999999999925\\ldots<br \/>\n\\]<br \/>\nSembla que una combinaci\u00f3 de quantitats transcendents (\\(e\\) i \\(\\pi\\))<br \/>\namb nombres algebraics (\\(\\sqrt{163}\\)) resulti en un nombre enter. De<br \/>\nfet, el valor exacte del membre de l&#8217;esquerra no \u00e9s enter (ni tan sols<br \/>\nracional) per\u00f2 s&#8217;hi apropa molt!<\/p>\n<p>L&#8217;objectiu del treball \u00e9s el d&#8217;entendre d&#8217;on surt aquesta<br \/>\n&#8220;coincid\u00e8ncia&#8221;. Aix\u00f2 ens dur\u00e0 a estudiar funcions modulars i els<br \/>\nseus valors en punts quadr\u00e0tics, que \u00e9s el comen\u00e7ament d&#8217;una teoria<br \/>\nd&#8217;una enorme bellesa.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00c9s molt famosa la seg\u00fcent &#8220;coincid\u00e8ncia num\u00e8rica&#8221;: \\[ e^{\\pi\\sqrt{163}} \\simeq 262537412640768743.99999999999925\\ldots \\] Sembla que una combinaci\u00f3 de quantitats transcendents (\\(e\\) i \\(\\pi\\)) amb nombres algebraics (\\(\\sqrt{163}\\)) resulti en un nombre enter. De fet, el valor exacte del membre de l&#8217;esquerra no \u00e9s enter (ni tan sols racional) per\u00f2 s&#8217;hi apropa molt! L&#8217;objectiu del treball \u00e9s [&hellip;]<\/p>\n","protected":false},"author":77,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[28],"tags":[53],"class_list":["post-613","post","type-post","status-publish","format-standard","hentry","category-algebra","tag-marc-masdeu"],"_links":{"self":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts\/613","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/users\/77"}],"replies":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/comments?post=613"}],"version-history":[{"count":3,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts\/613\/revisions"}],"predecessor-version":[{"id":615,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts\/613\/revisions\/615"}],"wp:attachment":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/media?parent=613"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/categories?post=613"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/tags?post=613"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}