5 ms·
>The standard complex exponential and complex logarithm functions are defined exactly in the same way, because they are also multi-valued, so the same kind of e
by oh_my_goodness 26d ago
>The standard complex exponential and complex logarithm functions are defined exactly in the same way, because they are also multi-valued, so the same kind of equalities like yours would also be true for them.
Example values of e^z and 1^z:
e^2 ~= 7.389
1^2 = 1
e^(i\pi) =-1
1^(i\pi) = 1
e^-7 ~= 0.000912
1^(-7) = 1
e^(1+i) ~= 1.46869394 + 2.28735529 i
1^(1+i) = 1