Also, π is the wrong constant. The very definition is awkward: the ratio of two radiuses to the circumference. How about one radius?
It is much more natural to work with 2π. Some people use the letter τ (Tau) to denote 2π, and it simplifies almost all naturally occurring expressions. For example, what is more elegant?
It is much more natural to work with 2π. Some people use the letter τ (Tau) to denote 2π, and it simplifies almost all naturally occurring expressions. For example, what is more elegant?
e^(π*i) = -1
e^(τ*i) = 1