{"id":25906,"date":"2020-10-20T09:30:23","date_gmt":"2020-10-20T13:30:23","guid":{"rendered":"https:\/\/blog.carlrobitaille.org\/?p=25906"},"modified":"2020-10-20T09:30:48","modified_gmt":"2020-10-20T13:30:48","slug":"solving-the-basel-problem-via-fluid-dynamics","status":"publish","type":"post","link":"https:\/\/blog.carlrobitaille.org\/?p=25906","title":{"rendered":"Solving the Basel problem via fluid dynamics"},"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\">1\/1\u00b2 + 1\/2\u00b2 + 1\/3\u00b2 + &#8230; = \u03c0\u00b2\/6<br>~ a fluid dynamics proof ~<br><br>The complex function<br>f(z) = cot(\u03c0z)\/2z\u00b2<br>gives rise to a fluid flow such that the conservation of mass yields the solution of the Basel problem. <a href=\"https:\/\/t.co\/Q0iN2ZAT1X\">pic.twitter.com\/Q0iN2ZAT1X<\/a><\/p>&mdash; Tam\u00e1s G\u00f6rbe (@TamasGorbe) <a href=\"https:\/\/twitter.com\/TamasGorbe\/status\/1238448040521932801?ref_src=twsrc%5Etfw\">March 13, 2020<\/a><\/blockquote><script async src=\"https:\/\/platform.twitter.com\/widgets.js\" charset=\"utf-8\"><\/script>\n<\/div><\/figure>\n\n\n\n<figure class=\"wp-block-embed-youtube wp-block-embed is-type-video is-provider-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Solving the Basel problem via fluid dynamics\" width=\"584\" height=\"329\" src=\"https:\/\/www.youtube.com\/embed\/GwXWVhIfbV8?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\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-25906","post","type-post","status-publish","format-standard","hentry","category-mathematiques"],"_links":{"self":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/25906","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=25906"}],"version-history":[{"count":2,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/25906\/revisions"}],"predecessor-version":[{"id":25908,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/25906\/revisions\/25908"}],"wp:attachment":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=25906"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=25906"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=25906"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}