Monday, April 24, 2006

e^(pi * i) = -1

e is approximately equal to 2.718 and is defined as the limit of (1+(1/n))^n, when n goes to infinity. That is why, for example, the exponential function is used to calculate continuously compounded interest.

pi is approximately equal to 3.14 and is defined as the ratio between the perimeter of a circumference and its diameter.

i is a complex number defined as the square root of -1.

These three constants are apparently completely unrelated and were developed at different stages of mathematics... but in reality, they are linked through a beautiful equation that seems to come directly from God.

e^(pi * i) = -1. More details here.