> Mike > ... between a mathematician and a domain expert ... > > choose the mathematician > > Wes > ... integrals ... to 5 math majors ... they had forgotten how to > > do that long ago ... ... 2 senior domain engineers: it was > > impossible to calculate ... > > Of course math majors forgot how to calculate, they use computer > tools for all calculations and they do the creative thinking and > problem solving. I didn't ask them to calculate anything. I needed to write software to do the calculation. I asked them to critique my "proof" that a certain algorithm was "correct." In effect, they were saying they (math majors) did not remember 1. whether integration was the right tool to predict the location of an object given a previous location, previous velocity, and rate of change of velocity (where velocity is speed & direction, both changing). 2. whether my integration of some polynomial/trigonometric functions was correct 3. how to use association, commutation, substitution. factoring, and other algebraic tricks to determine whether some of my transformations of the integrals were valid. 4. how to use trigonometric identitities to determine whether my other transformations were valid. And the whole thing started because I wouldn't believe the "domain engineers" who said that the _only_ way to get the location was to repetitively compute a sufficient number of sufficiently small constant velocity line segments. Coding and testing it showed that someone--never having taken a calculus course, having only an intro to trig fifteen years prior, and algebra (junior high school) twenty years prior--did in fact accomplish what the domain engineers said was impossible, and the math majors didn't know how to do. THAT is why I answered your claim that a mathematician can do anything by pointing out that a math major is not necessarily a mathematician.