Complex Numbers: 0^iDate: 11/26/2002 at 01:51:28 From: Tim H Subject: Complex Numbers What does 0^i equal? Date: 11/26/2002 at 11:18:01 From: Doctor Ian Subject: Re: Complex Numbers Hi Tim, Good question! I don't believe anyone has asked us this before, which is somewhat surprising. In any case, note that 0^i = e^(ln(0^i)) = e^(i*ln(0)) = cos(ln(0)) + i*sin(ln(0)) Since ln(0) is undefined, the quantity 0^i is also undefined. Does this help? - Doctor Ian, The Math Forum http://mathforum.org/dr.math/ Date: 11/27/2002 at 01:02:30 From: Tim H Subject: Thank you (Complex Numbers) Thank you for answering my question. |
Search the Dr. Math Library: |
[Privacy Policy] [Terms of Use]
Ask Dr. Math^{TM}
© 1994- The Math Forum at NCTM. All rights reserved.
http://mathforum.org/dr.math/