Woah

Woah

Other urls found in this thread:

youtube.com/watch?v=zApx1UlkpNs
youtube.com/watch?v=mvmuCPvRoWQ
youtube.com/watch?v=-dhHrg-KbJ0
myredditvideos.com/
twitter.com/NSFWRedditGif

This always baffled me. What does the proof for e^(ipi) = -1 even look like?

Write e^ix as an infinite series.
Then realize that that series is equivalent to the infinite series of cos(x) and isin(x) summed.

You end up with e^ix = cos(x) + isin(x)

Then plug in pi.

This isn't even true. It's derived from angles in a complex plane which is just autistic mememath

But it is

youtube.com/watch?v=zApx1UlkpNs

If you don't understand why complex waves are physically relevant and why this identity is important then you shouldn't be posting here

the exponential function for the complex numbers is redefined as the expansion sin/cos that everybody knows. It is said expanded because it fits with the usual definitions on the reals. So that is the "hack".

For references, see the first chapters of bak & newman complex analysis

Do complex exponentials mean that there is a solution to the equation "log a(b)=x" for all values of a and b?

no

>using incommensurable units