{"id":190,"date":"2012-05-14T19:08:45","date_gmt":"2012-05-14T19:08:45","guid":{"rendered":"http:\/\/olofee.wordpress.com\/?p=190"},"modified":"2015-01-04T04:50:17","modified_gmt":"2015-01-04T04:50:17","slug":"properties-of-the-exponential-function","status":"publish","type":"post","link":"http:\/\/malemuk.com\/olofee\/properties-of-the-exponential-function\/","title":{"rendered":"Properties of the exponential function"},"content":{"rendered":"<p>There is an interesting and popular <a href=\"http:\/\/www.youtube.com\/watch?v=F-QA2rkpBSY\">conference of Pr. Albert A. Bartlett<\/a> on YouTube about the exponential function.<\/p>\n<p>Most of the conference is about population growth and oil and coal reserves, but in the first part, Bartlett exposes some useful properties.<\/p>\n<ul>\n<li>The doubling time of a quantity growing at a constant rate r is 70\/r;<\/li>\n<li>The growth in any doubling time is greater than the total of all the preceding growth (think about the rice grains on the chess board);<\/li>\n<li>Over a human lifetime (70 years), a quantity is multiplied by a factor of 2^r.<\/li>\n<\/ul>\n<p>Towards the end he cites Eric Sevareid&#8217;s Law: &#8220;The chief source of problems is solutions.&#8221; (CBS News 29 December 1970).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>There is an interesting and popular conference of Pr. Albert A. Bartlett on YouTube about the exponential function. Most of the conference is about population growth and oil and coal reserves, but in the first part, Bartlett exposes some useful properties. The doubling time of a quantity growing at a constant rate r is 70\/r; [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[31],"tags":[],"class_list":["post-190","post","type-post","status-publish","format-standard","hentry","category-science"],"jetpack-related-posts":[{"id":886,"url":"http:\/\/malemuk.com\/olofee\/coastal-sea-ice-action-on-a-breakwater-in-a-microtidal-inlet-in-svalbard-phd\/","url_meta":{"origin":190,"position":0},"title":"Coastal-sea-ice action on a breakwater in a microtidal inlet in Svalbard (PhD)","date":"December 31, 2015","format":false,"excerpt":"PhD Thesis (PDF) Abstract Preface LaTeX source code of the thesis Writing statistics Defence Trial lecture Defence video Defence slideshow Defence slideshow with notes Questions from the opponents Articles 19th IAHR International Symposium on Ice (2008) Caline, F. and Barrault, S., 2008, Transmission of level ice stresses to the ice\u2026","rel":"nofollow","context":"In \"PhD\"","img":{"src":"","width":0,"height":0},"classes":[]},{"id":910,"url":"http:\/\/malemuk.com\/olofee\/emacs-tips\/","url_meta":{"origin":190,"position":1},"title":"Emacs tips","date":"December 31, 2015","format":false,"excerpt":"Essential shortcuts M-: META key (ALT on most keyboards) C-: CONTROL key C-x C-f : open file C-x b : switch to buffer C-x k : kill buffer C-s : search text forward C-r : search text backward C-+ \/ C-- : Zoom in\/out C-space: mark set (start of the\u2026","rel":"nofollow","context":"In \"Computer stuff\"","img":{"src":"","width":0,"height":0},"classes":[]},{"id":2581,"url":"http:\/\/malemuk.com\/olofee\/2581\/","url_meta":{"origin":190,"position":2},"title":"L\u00e5neordninger for fiskere i Loppa","date":"April 23, 2016","format":false,"excerpt":"Loppa: vedtekter fiskerifond FFK (rekrutteringsfond for fiskere) Sametinget (stipend og tilskudd) F\u00f8rstegangsinvestering fart\u00f8y:\u00a0Sametinget kan bidra med tilskudd til f\u00f8rstegangsinvestering i fart\u00f8y. 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