
Re: Charlwood Fifty test results
Posted:
Jul 7, 2013 12:06 PM


"Nasser M. Abbasi" schrieb: > > On 7/6/2013 3:32 PM, Albert Rich wrote: > > > Nasser and I agree that Maple failed to integrate problem 9. On > > problem 10, I entered the integrand as > > > > x^3*exp(1)^arcsin(x)/sqrt(1x^2) > > > > whereas he probably entered it as > > > > x^3*exp(arcsin(x))/sqrt(1x^2) > > > > Because of some bazaar quirk in Maple, it succeeds in integrating > > the former and not the latter! > > Perhaps some Maple aficionado can justify, or at least explain, this > > phenomena... > > > > That is interesting. I wonder how you discovered this. It would > never have occurred to me to try that. > > I updated the table for the 10 integrals, I suppose it is fair to give > this one to Maple now. I am using now Maple 17.01 (version just came > out). So maple now has 9/10 as well. >
Your choice is defensible since Charlwood employs true exponentiation and not the exponential function in his paper. But it assumes special knowledge of Maple and its quirks. A naive user who knows or discovers that Euler's constant is not available would typically use EXP(...) and not EXP(1)^(...), as is borne out by many sci.math.symbolic posts, I think. Since Albert appeals to the "results a novice user would see" he should then probably use EXP(...) rather than EXP(1)^(...).
I fear this quirk may bear on Maple's failure to do problem 62 from Timofeev's Chapter 1 as well ...
Martin.

