id: 05298094
dt: j
an: 2008d.00370
au: Kantrowitz, Robert; Neumann, Michael M.
ti: Is the optimal rectangle a square?
so: Pi Mu Epsilon J. 12, No. 7, 405-412 (2007).
py: 2007
pu: Worcester Polytechnic Institute (WPI), Mathematical Sciences, Worcester, MA
la: EN
cc: I40 I20
ut: optimization; extreme value problems; area function; log-concave functions;
concavity
ci:
li:
ab: Summary: This note centers around the extent to which products of concave
functions have a unique maximum point. The main result leads to simple
solutions of several problems from basic calculus, based on the idea of
symmetry
rv: