by AuSmith » Sat Aug 16, 2008 11:56 am
Let [unparseable or potentially dangerous latex formula]
We can find the minimum for [unparseable or potentially dangerous latex formula] then permute the negatives around to "catch them all." If [unparseable or potentially dangerous latex formula], then [unparseable or potentially dangerous latex formula] because [unparseable or potentially dangerous latex formula]. Due to symmetry, we see that [unparseable or potentially dangerous latex formula].
[unparseable or potentially dangerous latex formula] has a minimum at [unparseable or potentially dangerous latex formula], so the only positive real minimum is [unparseable or potentially dangerous latex formula]. The others are [unparseable or potentially dangerous latex formula], [unparseable or potentially dangerous latex formula], and [unparseable or potentially dangerous latex formula]?