Recovering a set of discrete values - MathOverflow [closed] most recent 30 from http://mathoverflow.net 2013-05-21T13:52:43Z http://mathoverflow.net/feeds/question/61449 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/61449/recovering-a-set-of-discrete-values Recovering a set of discrete values lshamis 2011-04-12T19:24:45Z 2011-04-12T19:24:45Z <p>I have a set of <em>positive</em> integers $a$, where $\displaystyle\sum_i{a_i}=700$ and $\displaystyle\sum_i{a_i^2}=1212$.</p> <p>Is there a unique decomposition of $a$ and, if so, how do I recover it?</p>