Imagine that we want to measure the area of a pond with arbitrary shape.
Suppose that this pond is in the middle of a field with known area .
If we throw stones randomly, such that they land within the
boundaries of the field, and we count the number of stones that fall in
the pond , the area of the pond will be approximately proportional
to the fraction of stones that make a splash, multiplied by :

This simple procedure is an example of the ``Monte Carlo'' method.

Adrian E. Feiguin 2009-11-04