1/T errors

*To*: mathgroup at yoda.physics.unc.edu*Subject*: 1/T errors*From*: Paul.Shand at uni.edu (Paul M. Shand)*Date*: Tue, 31 May 1994 17:02:59 -0500 (CDT)

Hello Mathgroup. I have a function f of the type (Exp[b/T]/Exp[c/T]), where b and c are complicated functions consisting of sums over several parameters, but is not of primary interest here. The problem is the following. I wish to obtain values of the function f at small values of T. For example, for T = 0.05 and T = 0.03, Mathematica gives me a reasonable answer in a reasonable amount of time (the times required for the calculation are approximately the same). For T = 0.02, however, Mathematica gives a ridiculous number for the answer (10^9000). Also, the time taken to get that answer is about twice as large as before. The answer should be of the order of 5. I am probably running into problems with big number arithmetic, but I am not sure how to get around this. It would be nice if I could at least get a reasonable value for T=0.01. What can I do? I have Mathematica 2.2 Enhanced for Mac. Thanks. Paul Shand Physics Department University of Northern Iowa shand at cobra.uni.edu