# e to the pi times i

I like math, but might not know as much about it as some real math nuts.� I was reading the web comic XKCD, which has a lot of math jokes.� I read this comic titled e to the pi times i (language warning) which says if you take e to the power of ? times i or e^(?*i) gives you negative one.� That seemed really odd to me.� First thing I did was put the formula into Google and see if it gave the same answer, and it did.� The math really bends my mind, so I wanted to share it with everyone else.

So lets look at the constants in the formula:

• ?: Most people are familiar with ? (or pi), which is the ratio to a circle to its diameter.� It allows you to move between the diameter of a circle and its circumference.� It is an irrational number, meaning it cannot be represented completely in decimal notation.� It is approximately 3.14159265. . . .
• i:Is the imaginary result of the square root of negative one, or i^2 = -1.� Since a negative number multiplied by a negative number results in a positive number, without imaginary numbers, this would impossible.
• e: The one less people are familiar with is is Euler’s number or e.� It is the base of the natural logarithm.� It is also irrational with the approximate value of 2.71828 18284 59045 23536. . .

Mathematically speaking ?, e and i are considered some of the most important constants along with 0 and 1.� Pretty exciting eh?

So it turns out this formula is called Euler’s identity.� I still don’t understand how it works though.� According to Carl Friedrich Gauss, since this formula is not immediately apparent to to me (as a student), I will never be a first-class mathematician.� That is OK.� I just enjoy math as a hobby right now.

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