e^(pi*i) = −1
Anything else: lame.
Uh, how is e^(pi*i) = 1 lame?
Maybe because e^0 = 1?
Well making pi=2pi would just mean the complex exponential function would repeat itself every pi radians instead of every 2pi radians. e^0 would still = 1 in either case. Note that in the current definition, e^jn(2pi) = 1 for any integer n.
e^(2*Pi*i) − 1 = 0. Hah. I fit in more numbers.
e^(pi*i) = −1
Anything else: lame.
Uh, how is e^(pi*i) = 1 lame?
Maybe because e^0 = 1?
Well making pi=2pi would just mean the complex exponential function would repeat itself every pi radians instead of every 2pi radians. e^0 would still = 1 in either case. Note that in the current definition, e^jn(2pi) = 1 for any integer n.
e^(2*Pi*i) − 1 = 0. Hah. I fit in more numbers.