{"id":3411,"date":"2011-04-10T10:05:07","date_gmt":"2011-04-10T09:05:07","guid":{"rendered":"http:\/\/www.walkingrandomly.com\/?p=3411"},"modified":"2011-04-10T16:28:34","modified_gmt":"2011-04-10T15:28:34","slug":"carnival-of-math-76","status":"publish","type":"post","link":"https:\/\/walkingrandomly.com\/?p=3411","title":{"rendered":"Carnival of Math #76"},"content":{"rendered":"<p style=\"text-align: left;\">Welcome to the very late 76th carnival of Maths. \u00a0As per tradition, lets start with the trivia. \u00a076 is an <a href=\"http:\/\/en.wikipedia.org\/wiki\/Automorphic_number\">automorphic number<\/a> , can be written as a sum of three squares (2^2+6^2+6^2) and is the 9th <a href=\"http:\/\/en.wikipedia.org\/wiki\/Lucas_number\">Lucas number<\/a>.<br \/>\n<img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/www.walkingrandomly.com\/images\/random\/76_calc.jpg\" alt=\"Spirit of 76\" \/><\/p>\n<p>Every now and then I get asked the question &#8216;Eigenvectors&#8230;.so what are they good for?&#8217; \u00a0I&#8217;ve got a few stock answers but Language Log&#8217;s Mark Liberman goes the extra mile when he considers how they might have been used in Cinderella and goes on to discuss how they are used in linguistics. \u00a0Are you suitably intrigued? \u00a0Check it out in \u00a0<a href=\"http:\/\/languagelog.ldc.upenn.edu\/nll\/?p=3030\">Eigenfeet, eigenfaces, eigenlinguistics, \u2026<\/a><\/p>\n<p>If you have worked on the classification of multivariate data then you may well have heard of or used the <a href=\"http:\/\/en.wikipedia.org\/wiki\/Mahalanobis_distance\">Mahalanobis distance<\/a> (I came across it for the first time when <a href=\"https:\/\/www.walkingrandomly.com\/?p=2678\">working with MATLAB&#8217;s pdist function<\/a>). \u00a0It turns out that this commonly used metric has rather\u00a0surprising\u00a0origins! \u00a0Read all about it in <a href=\"http:\/\/jostamon.blogspot.com\/2011\/03\/anthropometry-and-anglo-indians.html\">Anthropometry and Anglo-Indians<\/a> over at Jost a Mon.<\/p>\n<p>March 14th is, of course, Pi day and several bloggers have written something about everyone&#8217;s favouburite irrational number. \u00a0Carnival regular, John D. Cook, brings us\u00a0<a href=\"http:\/\/www.johndcook.com\/blog\/2011\/03\/14\/a-ramanujan-series-for-calculating-pi\/\">A Ramanujan series for calculating pi<\/a>, 360 has\u00a0<a href=\"http:\/\/threesixty360.wordpress.com\/2011\/04\/09\/the-difference\/\">The Difference<\/a> and Qiaochu Yuan counters with <a href=\"http:\/\/qchu.wordpress.com\/2011\/03\/14\/pi-is-still-wrong\/\">Pi is still wrong<\/a>. \u00a0Finally, madkane brings us a <a href=\"http:\/\/www.madkane.com\/humor_blog\/2011\/03\/15\/pi-day-humor\/\">Pi day limerick<\/a>.<\/p>\n<p>Over at God Plays Dice, Michael Lugo brings us <a href=\"http:\/\/godplaysdice.blogspot.com\/2011\/04\/street-fighting-approach-to-variance-of.html\">A street-fighting approach to the variance of a hypergeometric random variable<\/a> and some of Denise&#8217;s <a href=\"http:\/\/letsplaymath.net\/2011\/03\/30\/can-you-find-these-awol-math-websites\/\">favourite math websites have gone AWOL<\/a> over at Let&#8217;s Play Math. \u00a0Can you help her find them?<\/p>\n<p>Peter Rowlett asked Twitter for links to enthuse people about mathematics. <a href=\"http:\/\/travelsinamathematicalworld.blogspot.com\/2011\/03\/links-to-enthuse-about-mathematics.html\">Here are the answers<\/a>. \u00a0Finally, Guillermo Bautista gives us <a href=\"http:\/\/mathandmultimedia.com\/2011\/02\/27\/epsilon-delta-proof-example-1\/\">an example of the epsilon-delta definition of limits<\/a>.<\/p>\n<p><strong>Your Carnival needs you<\/strong><\/p>\n<p>The Carnival of Math\u00a0desperately\u00a0needs people to write and host future editions. \u00a0If you have a math related blog and would like a bucket-load of extra traffic then <a href=\"https:\/\/www.walkingrandomly.com\/?page_id=2055\">contact me<\/a> for more information.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Welcome to the very late 76th carnival of Maths. \u00a0As per tradition, lets start with the trivia. \u00a076 is an automorphic number , can be written as a sum of three squares (2^2+6^2+6^2) and is the 9th Lucas number. Every now and then I get asked the question &#8216;Eigenvectors&#8230;.so what are they good for?&#8217; \u00a0I&#8217;ve [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[37],"tags":[],"class_list":["post-3411","post","type-post","status-publish","format-standard","hentry","category-carnival-of-math"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p3swhs-T1","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts\/3411","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3411"}],"version-history":[{"count":6,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts\/3411\/revisions"}],"predecessor-version":[{"id":3417,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts\/3411\/revisions\/3417"}],"wp:attachment":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3411"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3411"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3411"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}