What you see here is the most beautiful equation in mathematics.
It is called Euler`s identity and connects three impossible numbers together. Thus it is a visible example of duality by using dialectics to come to the equation.
e is an irrational number having no end behind the comma. This number is appearing in living processes describing for instance times of disappearing of it.
pi is the quotient of circumference and diameter of a circle. This number is important in describing circular processes.
i is the square root of -1 and is a so called complex number. Actually i can not be imagined, but it is introduced as help in math to describe oscillations and ratations.
Now imagine - three unusual numbers can be combined to a straigt number - this sounds pretty impossible.
Anybody having a little interest in math will find some rules in complex numbers. One is
e^(i pi) = cos pi + i sin pi.
And since
cos pi = -1 and sin pi = 0 we come to Euler`s identity, or in another form:
We have now two irrational numbers and an unimaginable nimber combined in 1 which is the number of unity. Duality has bought the impossible in beauty together.
Replies