http://openproblemgarden.org/op/inequality_of_the_means Comments for "Inequality of the means" en http://openproblemgarden.org/op/inequality_of_the_means <table cellspacing="10"> <tr> <td> Author(s): <a href="/kpz_equation_central_limit_theorem"></a>&nbsp;&nbsp; </td> <td align=right> Subject: <a href="/category/geometry">Geometry</a>&nbsp;&nbsp; </td> </tr> <tr> <td colspan=2> <table border=1 cellspacing="5"> <tr><td> <div class="envtheorem"><b>Question</b>&nbsp;&nbsp; Is is possible to pack <img class="teximage" src="/files/tex/699fff17a123a14fe73275fc0a636f46688029d9.png" alt="$ n^n $" /> rectangular <img class="teximage" src="/files/tex/ec63d7020a64c039d5f6703b8fa3ab7393358b5b.png" alt="$ n $" />-dimensional boxes each of which has side lengths <img class="teximage" src="/files/tex/e7587d53923e6a1289b1a25bce813c459b94a973.png" alt="$ a_1,a_2,\ldots,a_n $" /> inside an <img class="teximage" src="/files/tex/ec63d7020a64c039d5f6703b8fa3ab7393358b5b.png" alt="$ n $" />-dimensional cube with side length <img class="teximage" src="/files/tex/e1dd2dd4a0225f650d6b7185f7abde703d0fbdbd.png" alt="$ a_1 + a_2 + \ldots a_n $" />? </div> </tr></td> </table> </td> </tr> </table> arithmetic mean geometric mean Inequality packing Geometry http://openproblemgarden.org/op/inequality_of_the_means#comment Mon, 06 Apr 2009 06:35:32 +0200 mdevos 36901 at http://openproblemgarden.org