That is a great question. I have no idea as I have never gave much thought to the subject.In that case, how is that equation related to other uses of $\pi$ without using any geometrical concept?
I said I had no idea.The complex plane is a geometrical concept, so your suggestion would directly relate the equation to geometry.
What's there to hate? And who are those that will speak of \(\displaystyle \pi\) in a "bad light" and who worships it?And this is another reason I hate pi. The crown jewel of mathematics. If it is spoken about in a bad light, you are labeled as a blasphemer and its worshipers will crucify you.
Personally, I'm a golden ratio guy. Screw every single other number!What's there to hate? And who are those that will speak of \(\displaystyle \pi\) in a "bad light" and who worships it?
It's a number for Heaven's sake. Fine, if you want to like the Euler-Mascheroni constant instead then you go for it. And d*mn any of those nasty old \(\displaystyle \pi\) worshippers.