{"id":17972,"date":"2019-07-28T09:58:58","date_gmt":"2019-07-28T13:58:58","guid":{"rendered":"http:\/\/blog.carlrobitaille.org\/?p=17972"},"modified":"2019-07-28T09:59:01","modified_gmt":"2019-07-28T13:59:01","slug":"borwein-integrals","status":"publish","type":"post","link":"https:\/\/blog.carlrobitaille.org\/?p=17972","title":{"rendered":"Borwein integrals"},"content":{"rendered":"\n<figure class=\"wp-block-embed-twitter wp-block-embed is-type-rich is-provider-twitter\"><div class=\"wp-block-embed__wrapper\">\n<blockquote class=\"twitter-tweet\" data-width=\"550\" data-dnt=\"true\"><p lang=\"en\" dir=\"ltr\">These are called Borwein integrals named after David and Jonathan Borwein, father-and-son mathematicians who first introduced them in 2001. If you extrapolate you will find that when you add the next obvious factor sinc(x\/15) this sequence fails. \ud83d\ude15 <a href=\"https:\/\/t.co\/Tl5iMR0mlL\">pic.twitter.com\/Tl5iMR0mlL<\/a><\/p>&mdash; Fermat&#39;s Library (@fermatslibrary) <a href=\"https:\/\/twitter.com\/fermatslibrary\/status\/1155468205273563136?ref_src=twsrc%5Etfw\">July 28, 2019<\/a><\/blockquote><script async src=\"https:\/\/platform.twitter.com\/widgets.js\" charset=\"utf-8\"><\/script>\n<\/div><\/figure>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[19],"tags":[],"class_list":["post-17972","post","type-post","status-publish","format-standard","hentry","category-mathematiques"],"_links":{"self":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/17972","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=17972"}],"version-history":[{"count":1,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/17972\/revisions"}],"predecessor-version":[{"id":17973,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/17972\/revisions\/17973"}],"wp:attachment":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=17972"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=17972"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=17972"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}