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K_h
Posts:
403
Registered:
4/12/07


Re: Zero Powers
Posted:
Feb 13, 2014 5:10 PM


"Shmuel (Seymour J.)Metz" wrote in message news:52fb9c6c$3$fuzhry+tra$mr2ice@news.patriot.net...
In <F9GdnWm7rUHAGfPnZ2dnUVZ5tednZ2d@giganews.com>, on 02/11/2014 at 02:00 PM, "K_h" <KHolmes@SX729.com> said: > > >Doing a physics problem the other day, the answer came out to be 0^i > > That depends on how and whether you define x^y for complex numbers, > and what you do about the singularity. If you define x^y in terms of > ln and exp then you need to worry about which branch you define the > answer in. Be careful to ensure that the definition you use, and the > path you use, make sense for the physics you're trying to do.
Thanks for the advice. This is a very thorny problem and I appreciate the help that people have offered. What I was trying to do was to use the math to make sense of the physics and figure out what domain the exact solution works for. For a fixed t, the solution seems to work for x>(1/B) and I was really only concerned about the case at 1/B. If the 1/B case is a singularity or undefined than that is the answer I was looking for. I just wanted input from sci.math because various internet searches didn't yield anything about o^i being an indeterminate form.
thx



