5 Dec
2003
5 Dec
'03
12:45 p.m.
(Now I'm getting confused. Did you use this subject line because of the "hot" and "cold" games concept?<;-)
Can someone please provide the most up-to-date definition of a^b where a and b are surreal numbers?
(I hope this coincides with a^b = exp(b * log_e(a)) for a > 0, where exp is given by the usual Taylor series and log_e is its inverse function.)
I don't see how this could *not* be true for real a & b. For "more surreal" arguments I don't see why it need be (although it'd be nice) any more than real functions need by constrained by their properties at rational arguments. But then what I know about surreal analysis is a smaller infinitesimal than what I know about real analysis! I'm curious though, why you're asking this?