Re: graphing traces of complicated evaluations (improved)
- To: mathgroup at smc.vnet.net
- Subject: [mg79298] Re: graphing traces of complicated evaluations (improved)
- From: dimitris <dimmechan at yahoo.com>
- Date: Tue, 24 Jul 2007 05:59:27 -0400 (EDT)
- References: <f81m7n$lm0$1@smc.vnet.net>
On 23 , 10:43, chuck009 <dmili... at comcast.com> wrote: > 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- - > > - - No! Having tried a lot of things, I gae up! I hope someone other will find a correct closed form solution for this integral. Dimitris