User jackson - MathOverflow most recent 30 from http://mathoverflow.net 2013-06-19T01:55:17Z http://mathoverflow.net/feeds/user/24090 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/98563/distance-between-points-in-two-disjoint-compact-sets distance between points in two disjoint Compact sets Jackson 2012-06-01T10:37:22Z 2012-06-01T10:37:22Z <p>let $S$ and $T$ be two disjoint compact nonempty sets. Show that there are points $x_0$ in $S$ and a point $y_0$ in $T$ such that |$x$−$y$|≥|$x_0$−$y_0$| whenever $x$ is in $S$ and $y$ is in $T$.</p> http://mathoverflow.net/questions/98355/convex-optimization Convex Optimization Jackson 2012-05-30T10:19:39Z 2012-05-30T10:19:39Z <p>If $q>p>0$ show that the point $(x,y)=(0,0$) minimizes the function $$f(x,y)=(y−px2)(y−qx2)$$ locally on the lines $y=ht,x=kt$ through the point $(x,y)$.</p> http://mathoverflow.net/questions/109459/convex-optimization Comment by Jackson Jackson 2012-10-12T14:32:56Z 2012-10-12T14:32:56Z Please, just help me out. I've been struggling with this for some time now. Thanks guys.