User agd - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-25T02:08:24Z http://mathoverflow.net/feeds/user/21928 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/16684/when-is-the-product-of-a-set-of-numbers-greater-than-the-sum-of-them/90377#90377 Answer by AGD for When is the product of a set of numbers greater than the sum of them? AGD 2012-03-06T16:18:22Z 2012-03-06T16:18:22Z <p>Hi,</p> <p>Was just looking online to see if I could find a result I did for my college course many years ago.</p> <p>i found that the product of a collection of poitive reals P is related to the sum of the same collection S via this inequality.</p> <p>P >= S multiplied by e to the power of 1 divided by e.</p> <p>Can't remember how I proved it, but it did include one of Abel's theorems.</p> <p>Happy times!</p>