User agd - MathOverflowmost recent 30 from http://mathoverflow.net2013-05-25T02:08:24Zhttp://mathoverflow.net/feeds/user/21928http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/16684/when-is-the-product-of-a-set-of-numbers-greater-than-the-sum-of-them/90377#90377Answer by AGD for When is the product of a set of numbers greater than the sum of them?AGD2012-03-06T16:18:22Z2012-03-06T16:18:22Z<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>