{"id":1774281,"date":"2005-08-08T00:51:00","date_gmt":"2005-08-08T00:51:00","guid":{"rendered":"http:\/\/su.blog.bunty.tv\/2005\/08\/08\/A-pure-and-an-applied\/"},"modified":"2007-11-26T03:38:02","modified_gmt":"2007-11-26T03:38:02","slug":"A-pure-and-an-applied","status":"publish","type":"post","link":"http:\/\/su.blog.bunty.tv\/?p=1774281","title":{"rendered":"A pure and an applied"},"content":{"rendered":"<div class='sustuff'>Stumbleupon <a href='http:\/\/horsewithnobunty.stumbleupon.com\/review\/1774281\/'>Review<\/a>\n<\/div>\n<p> A pure and an applied mathematician are asked to calculate 2 * 2.<br \/>\nThe applied mathematician&#8217;s solution: We have<br \/>\n2 * 2 = 2 *1\/(1-1\/2).<br \/>\nThe second factor on the right hand side has a geometric series expansion<br \/>\n1\/(1-1\/2) = 1 + 1\/2 +1\/4 + 1\/8 + &#8230;.<br \/>\nCutting off the series after the second term yields the approximate solution<br \/>\n2 * 2 = 2 *(1 +1\/2) = 3.<br \/>\nThe pure mathematician&#8217;s solution: We have<br \/>\n2 * 2 = (-2) *1\/(1-3\/2).<br \/>\nThe second factor on the right hand side has a geometric series expansion<br \/>\n1\/(1-3\/2) = 1 + 3\/2 +9\/4 + 27\/8 + &#8230;,<br \/>\nwhich diverges. Hence, the solution to 2 * 2 does not exist.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Stumbleupon Review A pure and an applied mathematician are asked to calculate 2 * 2. The applied mathematician&#8217;s solution: We have 2 * 2 = 2 *1\/(1-1\/2). The second factor on the right hand side has a geometric series expansion &hellip; <a href=\"http:\/\/su.blog.bunty.tv\/?p=1774281\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":""},"categories":[1381],"tags":[400569],"_links":{"self":[{"href":"http:\/\/su.blog.bunty.tv\/index.php?rest_route=\/wp\/v2\/posts\/1774281"}],"collection":[{"href":"http:\/\/su.blog.bunty.tv\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/su.blog.bunty.tv\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/su.blog.bunty.tv\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"http:\/\/su.blog.bunty.tv\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1774281"}],"version-history":[{"count":0,"href":"http:\/\/su.blog.bunty.tv\/index.php?rest_route=\/wp\/v2\/posts\/1774281\/revisions"}],"wp:attachment":[{"href":"http:\/\/su.blog.bunty.tv\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1774281"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/su.blog.bunty.tv\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1774281"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/su.blog.bunty.tv\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1774281"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}