{"id":1473,"date":"2014-01-20T19:14:57","date_gmt":"2014-01-21T00:14:57","guid":{"rendered":"http:\/\/blog.carlrobitaille.org\/2014\/01\/20\/infinite-series-are-weird-redux\/"},"modified":"2014-01-20T19:14:57","modified_gmt":"2014-01-21T00:14:57","slug":"infinite-series-are-weird-redux","status":"publish","type":"post","link":"https:\/\/blog.carlrobitaille.org\/?p=1473","title":{"rendered":"Infinite series are weird &#8212; redux!"},"content":{"rendered":"<p>Avez-vous vu sur le net la contreverse &quot;1+2+3+4+&#8230; = -1\/12&quot;? Ca provient de la &quot;preuve&quot; donnee par numberphile:<br \/><a rel=\"nofollow\" target=\"_blank\" href=\"http:\/\/www.youtube.com\/watch?v=w-I6XTVZXww\" class=\"ot-anchor bidi_isolate\" jslog=\"10929; track:click\" dir=\"ltr\">ASTOUNDING: 1 + 2 + 3 + 4 + 5 + &#8230; = -1\/12<\/a><\/p>\n<p>Ils font de operations sur des series hors de leur rayon de convergence pour arriver a ce resultat absurde.<\/p>\n<p>L&#8217;article suivant explique d&#8217;ou vient ce -1\/12 (Zeta(-1)). Pour les matheux, c&#8217;est encore plus interessant de savoir en quoi les physiciens pensent que ce resultat est valide.<\/p>\n<p>De mon cote, j&#8217;en conclus que les physiciens qui somment devraient probablement poser leur probleme directement en utilisant la fonction Zeta, si une telle chose est possible et a un sens,\u00a0 plutot que d&#8217;affirmer que la somme <b>converge<\/b> vers une <b>fraction<\/b> <b>negative<\/b>.<\/p>\n<p><a href=\"http:\/\/skullsinthestars.com\/2010\/05\/25\/infinite-series-are-weird-redux\/\">Infinite series are weird &#8212; redux!<\/a><\/p>\n<p><a href=\"http:\/\/skullsinthestars.com\/2010\/05\/25\/infinite-series-are-weird-redux\/\"><img decoding=\"async\" src=\"http:\/\/skullsinthestars.files.wordpress.com\/2010\/05\/300px-casimir_plates.png\"><\/a><\/p>\n<p>Import\u00e9 de <a href=\"https:\/\/plus.google.com\/104239776541827516598\/posts\/ZN9a7bZfwYd\">Google+<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Avez-vous vu sur le net la contreverse &quot;1+2+3+4+&#8230; = -1\/12&quot;? Ca provient de la &quot;preuve&quot; donnee par numberphile:ASTOUNDING: 1 + 2 + 3 + 4 + 5 + &#8230; = -1\/12 Ils font de operations sur des series hors de &hellip; <a href=\"https:\/\/blog.carlrobitaille.org\/?p=1473\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-1473","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/1473","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1473"}],"version-history":[{"count":0,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/1473\/revisions"}],"wp:attachment":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1473"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1473"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1473"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}