{"id":334,"date":"2008-12-30T21:27:00","date_gmt":"2008-12-30T21:27:00","guid":{"rendered":"http:\/\/akae.es\/estupido\/?p=334"},"modified":"2008-12-30T21:27:00","modified_gmt":"2008-12-30T21:27:00","slug":"por-curiosidad","status":"publish","type":"post","link":"https:\/\/akae.es\/estupido\/2008\/12\/por-curiosidad\/","title":{"rendered":"por curiosidad&#8230;"},"content":{"rendered":"<div style=\"text-align: justify;\">&#8230;despu\u00e9s de leer <a href=\"http:\/\/www.microsiervos.com\/archivo\/humor\/13-numeros-famosos.html\">\u00e9sto de los n\u00fameros m\u00e1s famosos de microsiervos<\/a> ( s\u00ed, <a href=\"http:\/\/www.sexypeople-blog.com\/2008\/12\/matt.html\">Pepe<\/a>, \u00a1jodeeeer! ) he llegado un sitio que se llama <a href=\"http:\/\/www.zentolos.com\/\">Zentolos<\/a>, con una entrada llamada <span style=\"font-size:100%;\"><a href=\"http:\/\/www.zentolos.com\/?p=582\" rel=\"bookmark\" title=\"Link Permanente: El N\u00famero de Graham: la magnitud inconcebible\">El N\u00famero de Graham: la magnitud inconcebible<\/a><\/span>, y despu\u00e9s aqu\u00ed: <a href=\"http:\/\/en.wikipedia.org\/wiki\/Knuth%27s_up-arrow_notation\">Wikipedia: Knuth&#8217;s up-arrow notation<\/a> y por el camino me he encontrado notaciones matem\u00e1ticas que desconoc\u00eda, como:<\/div>\n<blockquote><p><a href=\"http:\/\/en.wikipedia.org\/wiki\/Exponentiation\" title=\"Exponentiation\">Exponentiation<\/a> for a natural power <span class=\"texhtml\"><i>b<\/i><\/span> can be defined as iterated multiplication: <\/p>\n<dl>\n<dd><img decoding=\"async\" class=\"tex\" alt=\"  \\begin{matrix}    a\\uparrow b= a^b = &amp; \\underbrace{a\\times a\\times\\dots\\times a}\\\\    &amp; b\\mbox{ copies of }a   \\end{matrix} .  \" src=\"http:\/\/upload.wikimedia.org\/math\/f\/c\/c\/fcc54eb1d832b7dde939199c39b837ed.png\" \/><\/dd>\n<\/dl>\n<p>For example,<\/p>\n<dl>\n<dd><img decoding=\"async\" class=\"tex\" alt=\"  \\begin{matrix}    3\\uparrow 2= 3^2 = &amp; \\underbrace{3\\times 3} &amp; = &amp; 9\\\\    &amp; 2\\mbox{ copies of }3   \\end{matrix} .  \" src=\"http:\/\/upload.wikimedia.org\/math\/4\/e\/d\/4ed701e04a263c938b0f2b2fa0e420b7.png\" \/><\/dd>\n<\/dl>\n<p>This inspired Knuth to define a \u201cdouble arrow\u201d <a href=\"http:\/\/en.wikipedia.org\/wiki\/Operator\" title=\"Operator\">operator<\/a> for iterated exponentiation or <a href=\"http:\/\/en.wikipedia.org\/wiki\/Tetration\" title=\"Tetration\">tetration<\/a>:<\/p>\n<dl>\n<dd><img decoding=\"async\" class=\"tex\" alt=\"  \\begin{matrix}    a\\uparrow\\uparrow b &amp; = {\\ ^{b}a}  = &amp; \\underbrace{a^{a^{{}^{.\\,^{.\\,^{.\\,^a}}}}}} &amp;     = &amp; \\underbrace{a\\uparrow a\\uparrow\\dots\\uparrow a}  \\\\       &amp; &amp; b\\mbox{ copies of }a     &amp; &amp; b\\mbox{ copies of }a   \\end{matrix}  \" src=\"http:\/\/upload.wikimedia.org\/math\/3\/6\/2\/362317ebce19a9cf1ff37912e2cdb45a.png\" \/><\/dd>\n<\/dl>\n<p>For example,<\/p>\n<dl>\n<dd><img decoding=\"async\" class=\"tex\" alt=\"  \\begin{matrix}    3\\uparrow\\uparrow 2 &amp; = {\\ ^{2}3}  = &amp; \\underbrace{3^3} &amp;     = &amp; \\underbrace{3\\uparrow 3} &amp; = &amp; 27 \\\\       &amp; &amp; 2\\mbox{ copies of }3     &amp; &amp; 2\\mbox{ copies of }3   \\end{matrix} .  \" src=\"http:\/\/upload.wikimedia.org\/math\/8\/6\/5\/865c3dd3cbba5da1922e1a8807219ac8.png\" \/><\/dd>\n<dt><\/dt>\n<\/dl>\n<\/blockquote>\n<div style=\"text-align: justify;\">y cosas como que ma\u00f1ana seguro que hay tres personas que nos conocemos, o tres que  no se conocen&#8230;<\/div>\n<blockquote style=\"font-style: italic;\">\n<p>Como resumen y ampliaci\u00f3n del problema diremos que:<\/p>\n<p>\u00b7 El n\u00famero m\u00ednimo de invitados a una fiesta que garantiza que al menos 3 invitados se conozcan entre s\u00ed o al menos 3 invitados no se conozcan es de 6.<\/p>\n<\/blockquote>\n","protected":false},"excerpt":{"rendered":"<p>&#8230;despu\u00e9s de leer \u00e9sto de los n\u00fameros m\u00e1s famosos de microsiervos ( s\u00ed, Pepe, \u00a1jodeeeer! ) he llegado un sitio que se llama Zentolos, con una entrada llamada El N\u00famero de Graham: la magnitud inconcebible, y despu\u00e9s aqu\u00ed: Wikipedia: Knuth&#8217;s up-arrow notation y por el camino me he encontrado notaciones matem\u00e1ticas que desconoc\u00eda, como: Exponentiation &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/akae.es\/estupido\/2008\/12\/por-curiosidad\/\" class=\"more-link\">Continuar leyendo<span class=\"screen-reader-text\"> \u00abpor curiosidad&#8230;\u00bb<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-334","post","type-post","status-publish","format-standard","hentry","category-sin-categoria"],"_links":{"self":[{"href":"https:\/\/akae.es\/estupido\/wp-json\/wp\/v2\/posts\/334","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/akae.es\/estupido\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/akae.es\/estupido\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/akae.es\/estupido\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/akae.es\/estupido\/wp-json\/wp\/v2\/comments?post=334"}],"version-history":[{"count":0,"href":"https:\/\/akae.es\/estupido\/wp-json\/wp\/v2\/posts\/334\/revisions"}],"wp:attachment":[{"href":"https:\/\/akae.es\/estupido\/wp-json\/wp\/v2\/media?parent=334"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/akae.es\/estupido\/wp-json\/wp\/v2\/categories?post=334"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/akae.es\/estupido\/wp-json\/wp\/v2\/tags?post=334"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}