[jknupp]

>In the real world, problems can't be solved analytically...

Your other suggestions notwithstanding, you and I live in a very different "real world" my fried.

[slackenerny]

real world

Tell that to physicists “renormalizing”† it over and over all days long…

† I almost forgot not everyone on HN may know what that is, http://en.wikipedia.org/wiki/Renormalization

[TriinT]

If you can solve your problems analytically, then you're either working in a blessed field, or you're working with simplistic models...