e^(i*pi)+1=0. The single most beautiful and profound equation in mathematics... for intellectuals like myself, merely seeing this equation is enough to draw out tears as its awe inspiring magnificence fills me with every emotion at once. Let me post it again a few more times so you can get a good look at how beautiful it is.
e^(i*pi)+1=0.
e^(i*pi)+1=0.
Wow... Zero. One. Eulers constant e. The imaginary number i. The transcendental ratio pi. Not to mention every single fundamental operator is here too. All harmoniously intertwined in this symphony of an equation.
Even just the idea of raising a number to "i" is a bit ridiculous, then you multiply it by pi (a number with practically infinite digits, 90% of which still haven't been discovered) and decide fuck it, I'm going to pick e as the number I'm exponentiating! despite how complicated of a number e is as well. As you can see this process was so complicated that even Euler himself (the man who invented e) was only able to do it ONE time, and that's just part of what makes the equation so beautiful. And here's the cherry on top- by some miracle, as if God himself wanted to reward Euler for daring to make such a calculation- it JUST so happens that when you add 1 to the final result it equals zero. Meaning that the result was negative 1. And in case you couldn't figure it out, that's kind of a big fucking deal, because what Euler had done here is essentially PROVEN once and for all that there was numbers below zero, after years of mathematicians and scientists speculating about whether or not anything was actually down there. Perhaps one day another Euler will come along and discover the value of e^(i*e) or pi^(i*pi), or perhaps even (i*pi)^e. Personally I don't think such a thing will happen in our lifetime. We still haven't cracked the entire code behind e^(i*pi), so nobody knows exactly why it works yet. Its really beautiful that there's still so much out there for us to learn about math.
>mfw I see e^(i*pi)+1=0