{"id":1289,"date":"2019-08-18T06:24:49","date_gmt":"2019-08-18T06:24:49","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=1289"},"modified":"2019-08-24T04:54:38","modified_gmt":"2019-08-24T04:54:38","slug":"funcion-entera","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2019\/08\/18\/funcion-entera\/","title":{"rendered":"Funci\u00f3n entera"},"content":{"rendered":"<pre>Problema 1 de la 60 Olimpiada Internacional (2019)\r\nSe dirige a una edad de: 17-19 a\u00f1os<\/pre>\n<p>Sea Z el conjunto de los n\u00fameros enteros.<\/p>\n<p>Determinar todas las funciones f:Z \u2192 Z tales que, para todos los enteros a y b, f(2a) + 2f(b) = f(f(a + b)).<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2019\/08\/107.Funcionentera.png\" alt=\"\" width=\"300\" height=\"300\" class=\"aligncenter size-full wp-image-1290\" srcset=\"https:\/\/blogs.ua.es\/dimates\/files\/2019\/08\/107.Funcionentera.png 300w, https:\/\/blogs.ua.es\/dimates\/files\/2019\/08\/107.Funcionentera-150x150.png 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><br \/>\nSoluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2019\/08\/24\/solucion-a-funcion-entera\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 1 de la 60 Olimpiada Internacional (2019) Se dirige a una edad de: 17-19 a\u00f1os Sea Z el conjunto de los n\u00fameros enteros. Determinar todas las funciones f:Z \u2192 Z tales que, para todos los enteros a y b, f(2a) + 2f(b) = f(f(a + b)). Soluci\u00f3n: Aqu\u00ed.<\/p>\n","protected":false},"author":4267,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2242022,1738,2849],"tags":[],"class_list":["post-1289","post","type-post","status-publish","format-standard","hentry","category-olimpiada-matematica-internacional","category-olimpiadas","category-problemas"],"_links":{"self":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/1289","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/users\/4267"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/comments?post=1289"}],"version-history":[{"count":2,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/1289\/revisions"}],"predecessor-version":[{"id":1298,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/1289\/revisions\/1298"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=1289"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=1289"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=1289"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}