0 Members and 1 Guest are viewing this topic.
That'd mean:e^ip + 1 = 0e^i * e^p = -1e^i = -1/e^pi = ln(-e^-p)i = -p * ln(-e)That can't be right!
e^(pi i) does not equal e^(pi)*e^(i)
@ruler501, check this link: http://en.wikipedia.org/wiki/Euler's_formula#Proofs It's a bit hard to understand without a backing in calculus though
Although I still sometimes refuse to believe in its beauty, this still eludes me more!
How about 1+2+3+4+....=-1/12 Or 1+2^2+3^2+4^2+.....=0 O.o
Think about how you would do something like raising something to an imaginary power You can set up ratios and stuff and do more stuff and stuff. Also, e^(ix)=cos(x)+isin(x), so 3^i would be cos(ln(3))+isin(ln(3))EDIT: so you can say with that the idea that e^(i2pi)-1=0 (that is i times 2 times pi)
WikiAlso, 1+1+1+1...=-1/2