{"id":728828,"date":"2010-05-18T13:19:59","date_gmt":"2010-05-18T17:19:59","guid":{"rendered":"http:\/\/blogs.discovermagazine.com\/cosmicvariance\/?p=4848"},"modified":"2010-05-18T13:19:59","modified_gmt":"2010-05-18T17:19:59","slug":"my-favorite-silly-function-cosmic-variance","status":"publish","type":"post","link":"https:\/\/mereja.com\/index\/728828","title":{"rendered":"My Favorite Silly Function | Cosmic Variance"},"content":{"rendered":"<p>In today&#8217;s <a rel=\"nofollow\"  href=\"http:\/\/scienceblogs.com\/principles\/2010\/05\/links_for_2010-05-18.php\">link roundup<\/a>, <a rel=\"nofollow\"  href=\"http:\/\/scienceblogs.com\/principles\/\">Uncertain Chad<\/a> points to a new <a rel=\"nofollow\"  href=\"http:\/\/dlmf.nist.gov\/\">digital library of mathematical function<\/a>. As a huge, huge fan of <a rel=\"nofollow\"  href=\"http:\/\/en.wikipedia.org\/wiki\/Abramowitz_and_Stegun\">Abramowitz &#038; Stegun<\/a> (which can now be <a rel=\"nofollow\"  href=\"http:\/\/www.math.ucla.edu\/~cbm\/aands\/\">downloaded as a PDF<\/a>, if you would rather not have it sitting majestically on your shelf), I am thrilled. <\/p>\n<p>Sometimes you&#8217;ll be happily calculating along, and wind up with an equation you wouldn&#8217;t want to meet at night in a dark alley. But, a quick flip through Abramowitz &#038; Stegun frequently turns up your nemesis, along with handy tricks for disarming it. Additional satisfaction comes when you write the paper, and get to throw off lines like &#8220;The solutions to equation 4 are <a rel=\"nofollow\"  href=\"http:\/\/dlmf.nist.gov\/13\">confluent hypergeometric functions<\/a> (of the first kind)&#8221;. <\/p>\n<p>However, it will be hard top my amusement when I once discovered that the solutions to my problem were closely related to <a rel=\"nofollow\"  href=\"http:\/\/dlmf.nist.gov\/11.10#E1\"><em>Anger<\/em> functions<\/a>.<\/p>\n<p><img data-recalc-dims=\"1\" decoding=\"async\" align=\"center\" src=\"https:\/\/i0.wp.com\/dlmf.nist.gov\/11\/10\/E1.png?w=780\" alt=\"anger function\"\/><\/p>\n<p>I can only hope that Dr. Hate and Professor Loathing someday derive equally useful function forms.<\/p>\n<p><a rel=\"nofollow\"  href=\"http:\/\/feedads.g.doubleclick.net\/~a\/zST3qfYXQ3pXeD0_v6eMLKPi9As\/0\/da\"><img decoding=\"async\" src=\"http:\/\/feedads.g.doubleclick.net\/~a\/zST3qfYXQ3pXeD0_v6eMLKPi9As\/0\/di\" border=\"0\" ismap><\/a><br \/>\n<a rel=\"nofollow\"  href=\"http:\/\/feedads.g.doubleclick.net\/~a\/zST3qfYXQ3pXeD0_v6eMLKPi9As\/1\/da\"><img decoding=\"async\" src=\"http:\/\/feedads.g.doubleclick.net\/~a\/zST3qfYXQ3pXeD0_v6eMLKPi9As\/1\/di\" border=\"0\" ismap><\/a><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/feeds.feedburner.com\/~r\/CosmicVarianceBlog\/~4\/OAOmD696Nbg\" height=\"1\" width=\"1\"\/><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/feeds.feedburner.com\/~r\/DiscoverMag\/~4\/Bb-MXYZEHtY\" height=\"1\" width=\"1\"\/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>In today&#8217;s link roundup, Uncertain Chad points to a new digital library of mathematical function. As a huge, huge fan of Abramowitz &#038; Stegun (which can now be downloaded as a PDF, if you would rather not have it sitting majestically on your shelf), I am thrilled. Sometimes you&#8217;ll be happily calculating along, and wind [&hellip;]<\/p>\n","protected":false},"author":657,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"advanced_seo_description":"","jetpack_seo_html_title":"","jetpack_seo_noindex":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[4821],"tags":[],"class_list":["post-728828","post","type-post","status-publish","format-standard","hentry","category-news"],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p9NivD-33Bi","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/mereja.com\/index\/wp-json\/wp\/v2\/posts\/728828","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mereja.com\/index\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mereja.com\/index\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mereja.com\/index\/wp-json\/wp\/v2\/users\/657"}],"replies":[{"embeddable":true,"href":"https:\/\/mereja.com\/index\/wp-json\/wp\/v2\/comments?post=728828"}],"version-history":[{"count":0,"href":"https:\/\/mereja.com\/index\/wp-json\/wp\/v2\/posts\/728828\/revisions"}],"wp:attachment":[{"href":"https:\/\/mereja.com\/index\/wp-json\/wp\/v2\/media?parent=728828"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mereja.com\/index\/wp-json\/wp\/v2\/categories?post=728828"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mereja.com\/index\/wp-json\/wp\/v2\/tags?post=728828"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}