Find the max. value of
max{ |x+2y-3z|, |2y-u|, |x+2u| } / max{ |x-y|, |x+2y+z|, |z+u|, |x-2u| }
where x,y,z,u are any real numbers and (x,y,z,u)≠(0,0,0,0).
試求max{|x+2y-3z|, |2y-u|, |x+2u|} / max{ |x-y|, |x+2y+z|, |z+u|, |x-2u| }
的最大值, 其中(x,y,z,u)≠(0,0,0,0).