{"id":2493,"date":"2010-11-30T09:44:27","date_gmt":"2010-11-30T17:44:27","guid":{"rendered":"tag:google.com,2005:reader\/item\/794aff981a6d1c84"},"modified":"2010-12-21T17:26:44","modified_gmt":"2010-12-22T01:26:44","slug":"deficits-jensens-inequality-so-art-de-vanys-statement-about-energy-deficit-can-be-translated-into-the-ubiquitous-sigmoid-function-fx-11-expc-x-concave-in-the-positive-an","status":"publish","type":"post","link":"https:\/\/www.blackswanreport.com\/blog\/2010\/11\/deficits-jensens-inequality-so-art-de-vanys-statement-about-energy-deficit-can-be-translated-into-the-ubiquitous-sigmoid-function-fx-11-expc-x-concave-in-the-positive-an\/","title":{"rendered":"DEFICITS &amp; JENSEN&#039;S INEQUALITY &#8211; So Art de Vany&#039;s statement about energy deficit can be translated into the ubiquitous Sigmoid Function f(x) = [1\/(1-Exp[c x]], concave in the positive and convex in the negative.Note that the Kahneman\/Tversky Prospect theory has the same shape (with small change in first derivative at 0)It means, as suspected, concentration (feasts\/famine) that you should eat a lot when you eat."},"content":{"rendered":"<p>DEFICITS &amp; JENSEN&#39;S INEQUALITY &#8211; So Art de Vany&#39;s statement about energy deficit can be translated into the ubiquitous Sigmoid Function f(x) = [1\/(1-Exp[c x]], concave in the positive and convex in the negative.<br \/>Note that the Kahneman\/Tversky Prospect theory has the same shape (with small change in first derivative at 0)<br \/>It means, as suspected, concentration (feasts\/famine) that you should eat a lot when you eat.<\/p>\n<p><a href=\"http:\/\/www.facebook.com\/photo.php?fbid=480886233374&amp;set=a.467743408374.246616.13012333374\" title=\"\"><img decoding=\"async\" src=\"http:\/\/photos-a.ak.fbcdn.net\/hphotos-ak-ash2\/hs604.ash2\/155661_480886233374_13012333374_5693601_7657200_s.jpg\"><\/a><br \/><a href=\"http:\/\/www.facebook.com\/album.php?aid=246616&amp;id=13012333374\">AntiFragility<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>DEFICITS &amp; JENSEN&#039;S INEQUALITY &#8211; So Art de Vany&#039;s statement about energy deficit can be translated into the ubiquitous Sigmoid Function f(x) = [1\/(1-Exp[c x]], concave in the positive and convex in the negative.Note that the Kahneman\/Tversk&#8230;<\/p>\n","protected":false},"author":21,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[145,5],"tags":[],"class_list":["post-2493","post","type-post","status-publish","format-standard","hentry","category-facebook","category-feeds"],"_links":{"self":[{"href":"https:\/\/www.blackswanreport.com\/blog\/wp-json\/wp\/v2\/posts\/2493","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.blackswanreport.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.blackswanreport.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.blackswanreport.com\/blog\/wp-json\/wp\/v2\/users\/21"}],"replies":[{"embeddable":true,"href":"https:\/\/www.blackswanreport.com\/blog\/wp-json\/wp\/v2\/comments?post=2493"}],"version-history":[{"count":1,"href":"https:\/\/www.blackswanreport.com\/blog\/wp-json\/wp\/v2\/posts\/2493\/revisions"}],"predecessor-version":[{"id":2665,"href":"https:\/\/www.blackswanreport.com\/blog\/wp-json\/wp\/v2\/posts\/2493\/revisions\/2665"}],"wp:attachment":[{"href":"https:\/\/www.blackswanreport.com\/blog\/wp-json\/wp\/v2\/media?parent=2493"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.blackswanreport.com\/blog\/wp-json\/wp\/v2\/categories?post=2493"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.blackswanreport.com\/blog\/wp-json\/wp\/v2\/tags?post=2493"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}