{"id":28748,"date":"2021-12-02T22:35:21","date_gmt":"2021-12-03T03:35:21","guid":{"rendered":"https:\/\/blog.carlrobitaille.org\/?p=28748"},"modified":"2021-12-02T22:35:23","modified_gmt":"2021-12-03T03:35:23","slug":"runge-phenomena","status":"publish","type":"post","link":"https:\/\/blog.carlrobitaille.org\/?p=28748","title":{"rendered":"Runge phenomena"},"content":{"rendered":"\n<p><a href=\"https:\/\/www.johndcook.com\/blog\/2017\/11\/18\/runge-phenomena\/\">Runge phenomena<\/a><\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-rich is-provider-twitter wp-block-embed-twitter\"><div class=\"wp-block-embed__wrapper\">\n<blockquote class=\"twitter-tweet\" data-width=\"550\" data-dnt=\"true\"><p lang=\"en\" dir=\"ltr\">Polynomial interpolation at evenly-spaced nodes converges iff the function is analytic inside a football-shaped region. <a href=\"https:\/\/t.co\/us2I1BHJ7f\">https:\/\/t.co\/us2I1BHJ7f<\/a><\/p>&mdash; Analysis Fact (@AnalysisFact) <a href=\"https:\/\/twitter.com\/AnalysisFact\/status\/1465810431306518531?ref_src=twsrc%5Etfw\">November 30, 2021<\/a><\/blockquote><script async src=\"https:\/\/platform.twitter.com\/widgets.js\" charset=\"utf-8\"><\/script>\n<\/div><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Runge phenomena<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9,19],"tags":[],"class_list":["post-28748","post","type-post","status-publish","format-standard","hentry","category-histoire","category-mathematiques"],"_links":{"self":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/28748","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=28748"}],"version-history":[{"count":1,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/28748\/revisions"}],"predecessor-version":[{"id":28749,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/28748\/revisions\/28749"}],"wp:attachment":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=28748"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=28748"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=28748"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}