Re: graphing traces of complicated evaluations (improved)
- To: mathgroup at smc.vnet.net
- Subject: [mg79275] Re: graphing traces of complicated evaluations (improved)
- From: chuck009 <dmilioto at comcast.com>
- Date: Mon, 23 Jul 2007 03:42:25 -0400 (EDT)
Hello Dimitris, Do you know how to "manually" calculate an analytic solution to this integral? Suppose I can look up convolution method and Risch algorithm. Also, I suspect there are "internal" debugging tools at Wolfram that would allow a "sharp" programmer there to track down where the error is occurring. I could if it were my code :) > > the integral is evaluated with the convolution > method. > > (BTW, the integral is not a trivial one for the Risch > algorithm. > > Professor R. Fateman some time ago wrote to me... > > "While it may not seem hard to you, it turns out that > there are three > components to the Risch integration algorithm: > exponential, log and > algebraic. > this integrand, if it is done using the Risch > algorithm, requires that > all of them work, together. > > Since there is not, so far as I know, a complete > implementation of the > algebraic case in Mathematica, there may be problems > with > the hacks taken to bypass this lack of > implementation. > So I don't find the issue to be surprising." > ) > > Somewhere during the process something went wrong. > > I don't see how you could detect where it happens > this failure > (bear in mind that it might be one place that the > code fails; or > even more than one place!) > Only someone with a good knowledge of symbolic > algebra could > do such a task... > > Dimitris > > >