Well, I didn't see anyone take up schoen's
challenge of proving the AM/GM mean inequality, so I wrote
up a version that you can find here.
(this document by the time you see it has gone latex
=>(teTeX) dvi =>(dvips) postscript =>(gs) png. Ah,
the joys of
maths on the web).

It's usually proved by using Jensen's inequality, but I've
bodged the proof of a special case of that into my argument
(which mostly got cribbed from Stirzaker's Elementary
Probability).

Nice to see a good comedy election every now and again. It
certainly makes you think...