K_h
Posts:
361
Registered:
4/12/07


Zero Powers
Posted:
Feb 11, 2014 5:00 PM


Hi sci.math.
Doing a physics problem the other day, the answer came out to be 0^i
I think this number is undefined because the exponentiation function on the complex plane, evaluated at 0 with exponent of square root of minus one, results in cos(oo) + i*sin(oo) which doesn't have a definite value. Although there may be other ways to evaluate it using various algebraic rules with complex numbers.
I am curious to see what others think.
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