{"id":275,"date":"2008-06-02T14:21:05","date_gmt":"2008-06-02T19:21:05","guid":{"rendered":"https:\/\/blogs.mathworks.com\/videos\/2008\/06\/02\/matlab-puzzler-finding-the-two-closest-points\/"},"modified":"2009-05-19T17:03:42","modified_gmt":"2009-05-19T17:03:42","slug":"matlab-puzzler-finding-the-two-closest-points","status":"publish","type":"post","link":"https:\/\/blogs.mathworks.com\/videos\/2008\/06\/02\/matlab-puzzler-finding-the-two-closest-points\/","title":{"rendered":"MATLAB Puzzler: Finding the two closest points"},"content":{"rendered":"Here is a new MATLAB Puzzler.\r \r Given two vectors representing the X and Y coordinates of some points, find the two closest points in Cartesian space.\r \r <code>\r n = 10;\r x = rand(1,n);\r y = rand(1,n);\r <\/code>\r \r <\/br> <div class=\"row\"><div class=\"col-xs-12 containing-block\"><div class=\"bc-outer-container add_margin_20\"><videoplayer><div class=\"video-js-container\"><video data-video-id=\"3907708986001\" data-video-category=\"blog\" data-autostart=\"false\" data-account=\"62009828001\" data-omniture-account=\"mathwgbl\" data-player=\"rJ9XCz2Sx\" data-embed=\"default\" id=\"mathworks-brightcove-player\" class=\"video-js\" controls><\/video><script src=\"\/\/players.brightcove.net\/62009828001\/rJ9XCz2Sx_default\/index.min.js\"><\/script><script>if (typeof(playerLoaded) === 'undefined') {var playerLoaded = false;}(function isVideojsDefined() {if (typeof(videojs) !== 'undefined') {videojs(\"mathworks-brightcove-player\").on('loadedmetadata', function() {playerLoaded = true;});} else {setTimeout(isVideojsDefined, 10);}})();<\/script><\/div><\/videoplayer><\/div><\/div><\/div>\r <\/br> \r <\/br> <div class=\"row\"><div class=\"col-xs-12 containing-block\"><div class=\"bc-outer-container add_margin_20\"><videoplayer><div class=\"video-js-container\"><video data-video-id=\"3907762673001\" data-video-category=\"blog\" data-autostart=\"false\" data-account=\"62009828001\" data-omniture-account=\"mathwgbl\" data-player=\"rJ9XCz2Sx\" data-embed=\"default\" id=\"mathworks-brightcove-player\" class=\"video-js\" controls><\/video><script src=\"\/\/players.brightcove.net\/62009828001\/rJ9XCz2Sx_default\/index.min.js\"><\/script><script>if (typeof(playerLoaded) === 'undefined') {var playerLoaded = false;}(function isVideojsDefined() {if (typeof(videojs) !== 'undefined') {videojs(\"mathworks-brightcove-player\").on('loadedmetadata', function() {playerLoaded = true;});} else {setTimeout(isVideojsDefined, 10);}})();<\/script><\/div><\/videoplayer><\/div><\/div><\/div>\r <\/br> \r Brett and I took very different paths to solving this problem, he knows more about the statistics toolbox than I do and found a much shorter solution because there is a function that basically does this. As a benchmark. sticking with base MATLAB, I solved this in seven lines of code.\r \r Post your solutions in the comments area along with how long it took you to solve.","protected":false},"excerpt":{"rendered":"<div class=\"thumbnail thumbnail_asset asset_overlay video\"><a href=\"https:\/\/blogs.mathworks.com\/videos\/2008\/06\/02\/matlab-puzzler-finding-the-two-closest-points\/?dir=autoplay\"><img decoding=\"async\" src=\"https:\/\/cf-images.us-east-1.prod.boltdns.net\/v1\/static\/62009828001\/d6ff6a57-69ee-4f2b-960d-280fcdde3bfe\/ed63d491-d759-4c87-bb59-a7da774b347c\/1280x720\/match\/image.jpg\" onError=\"this.style.display ='none';\"\/>\n      <div class=\"overlay_container\">\n      <span class=\"icon-video icon_color_null\"><time class=\"video_length\">0:57<\/time><\/span>\n      <\/div>\n      <\/a><\/div><p>Here is a new MATLAB Puzzler.\r \r Given two vectors representing the X and Y coordinates of some points, find the two closest points in Cartesian space.\r \r \r n = 10;\r x = rand(1,n);\r y = rand(1,n);\r \r&#8230; <a class=\"read-more\" href=\"https:\/\/blogs.mathworks.com\/videos\/2008\/06\/02\/matlab-puzzler-finding-the-two-closest-points\/\">read more >><\/a><\/p>","protected":false},"author":68,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[4,17,20,10],"tags":[],"_links":{"self":[{"href":"https:\/\/blogs.mathworks.com\/videos\/wp-json\/wp\/v2\/posts\/275"}],"collection":[{"href":"https:\/\/blogs.mathworks.com\/videos\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.mathworks.com\/videos\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.mathworks.com\/videos\/wp-json\/wp\/v2\/users\/68"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.mathworks.com\/videos\/wp-json\/wp\/v2\/comments?post=275"}],"version-history":[{"count":0,"href":"https:\/\/blogs.mathworks.com\/videos\/wp-json\/wp\/v2\/posts\/275\/revisions"}],"wp:attachment":[{"href":"https:\/\/blogs.mathworks.com\/videos\/wp-json\/wp\/v2\/media?parent=275"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.mathworks.com\/videos\/wp-json\/wp\/v2\/categories?post=275"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.mathworks.com\/videos\/wp-json\/wp\/v2\/tags?post=275"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}