How to pronounce “Euler” in English

It's called Euler's disk for no good reason.

So to talk about Euler's identity, I want to discuss the circle functions.

And this Euler's disk takes a little while to settle down, but in its final stages,

And so you can bet that if something is called Euler's formula, it must be pretty important, because he proved a lot of formulas.

Which is Euler's formula evaluated when theta equals pi.

So the original form of Euler's identity has a transparent geometric meaning that's obscured when we write it in terms of pi.

It has references to Euler's equation again, has references to the Utah teapot.

So I believe this really ought to be called Euler's identify.

I thought you all would appreciate Euler's identity.

And we can relate this to Euler's identity by noticing that e to the i tau equals 1 says be one with the tau.

Also, Euler's constant, the e, like e to the x, the exponential function.

Well, we can find out by rewriting the Euler's identity traditional form in terms of tau.

And in order to get what I believe deserves the name and what captures the true spirit of Euler's identity, we're going to evaluate this formula

Like, oh, yeah, oh, yeah, what about Euler's identity.