Application of game theory

Posted by tpc at December 15th, 2008

to the bomb scenario in the Dark Knight. I’m not a game theorist, so I shan’t comment but read this post to form your own opinion.

Posted in Applications, Fun Stuff| No Comments | 

A surprising identity

Posted by tpc at December 13th, 2008

I don’t believe I have seen the following identity before, although it is pretty easy to prove it by induction.
\displaystyle \sum_{i=1}^n i^5 + \sum_{i=1}^n i^7 = 2 ( \sum_{i=1}^n i)^4.
I should mention I saw it in Edward Barbeau’s book Power Play.

Posted in Number Theory| 1 Comment |