{"id":3523,"date":"2013-08-24T14:24:24","date_gmt":"2013-08-24T14:24:24","guid":{"rendered":"http:\/\/math.columbia.edu\/~dejong\/wordpress\/?p=3523"},"modified":"2013-08-24T14:24:24","modified_gmt":"2013-08-24T14:24:24","slug":"a-story-of-two-colorings","status":"publish","type":"post","link":"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/?p=3523","title":{"rendered":"A story of two colorings"},"content":{"rendered":"<p>When Cathy <a href=\"http:\/\/mathbabe.org\/2013\/07\/30\/the-stacks-project-gets-ever-awesomer-with-new-viz\/\">blogged<\/a> about the new website she complained that we didn&#8217;t have the awesomest height function for the heat mapping of our nodes in the graphs. Here are two graphs, one with the coloring as we currently use it on our site and one with Cathy&#8217;s choice.<\/p>\n<p><a href=\"http:\/\/math.columbia.edu\/~dejong\/wordpress\/wp-content\/uploads\/2013\/08\/mercer-01ES.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/math.columbia.edu\/~dejong\/wordpress\/wp-content\/uploads\/2013\/08\/mercer-01ES.png\" alt=\"mercer-01ES\" width=\"570\" height=\"540\" class=\"aligncenter size-full wp-image-3524\" srcset=\"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/wp-content\/uploads\/2013\/08\/mercer-01ES.png 570w, https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/wp-content\/uploads\/2013\/08\/mercer-01ES-300x284.png 300w, https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/wp-content\/uploads\/2013\/08\/mercer-01ES-316x300.png 316w\" sizes=\"auto, (max-width: 570px) 100vw, 570px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/math.columbia.edu\/~dejong\/wordpress\/wp-content\/uploads\/2013\/08\/cpw-01ES.png\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/math.columbia.edu\/~dejong\/wordpress\/wp-content\/uploads\/2013\/08\/cpw-01ES.png\" alt=\"cpw-01ES\" width=\"530\" height=\"534\" class=\"aligncenter size-full wp-image-3525\" srcset=\"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/wp-content\/uploads\/2013\/08\/cpw-01ES.png 530w, https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/wp-content\/uploads\/2013\/08\/cpw-01ES-150x150.png 150w, https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/wp-content\/uploads\/2013\/08\/cpw-01ES-297x300.png 297w\" sizes=\"auto, (max-width: 530px) 100vw, 530px\" \/><\/a><\/p>\n<p>Questions: Can you figure out what the difference is? Which one do you like more?<\/p>\n<p>PS: This isn&#8217;t completely fair because Cathy&#8217;s idea is that with her height function the coloring more accurately predicts the <em>relevance<\/em> of the results to the root note (the one with the wobbly outside). And with these static pictures you can&#8217;t see the meaning of the nodes (which you can if you visit the website).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>When Cathy blogged about the new website she complained that we didn&#8217;t have the awesomest height function for the heat mapping of our nodes in the graphs. Here are two graphs, one with the coloring as we currently use it &hellip; <a href=\"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/?p=3523\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-3523","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/3523","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3523"}],"version-history":[{"count":3,"href":"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/3523\/revisions"}],"predecessor-version":[{"id":3528,"href":"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/3523\/revisions\/3528"}],"wp:attachment":[{"href":"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3523"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3523"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3523"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}