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.