 F Norin <frno@bredband.net> wrote:
> > Do you have any references for the quantum physics cases? I certainly
> > didn't specialize in quantum physics (plasma physics typically uses almost
> > everything _but_ quantum physics), but I did get as far as a EE graduate
> > course in QED and never encountered such probability models. Maybe it's
> > because I wasn't in a physics department or ever really encountered
> > molecular models in what I was studying?
>
> I don't have any references handy (not my area of expertise), but it's often
> mentioned as an application area in articles dealing with these
> distributions. For instance, I guess physics models that uses Brownian motion
> models could use these distributions as they do show up in connection with
> Brownian motion theory.
Thanks. My engineering physics curriculum was a little nonstandard (when
compared to physics departments' programs), and the statistical thermodynamics
course didn't actually cover statistical mechanics (hence the peculiar course
title, I suppose), which is where I presume one would ordinarily encounter the
analysis of Brownian motion.
> > Honestly, I doubt most of the users of Commons Math will be needing this
> > kind of distribution, but I guess if we merge in (parts of) Colt, we might
> > end up attracting that kind of user.
>
> As a matter of fact, many concepts in probability theory that at first sight
> may seem rather obscure can actually be used for practical applications.
> Stochastic modeling of the financial markets is a good example where very
> advanced mathematics is actually put to practical use.
Ah, interesting point. I only just learned a teeny bit about integration of
stochastic equations in portfolio value projection from a couple of "C/C++
Users Journal" articles earlier this year. A graduate complex analysis course
I sat in on just the first week of started out with numerous examples of
applications to reasonably realworld problems that I never would have thought
of (not the ones I learned about in other courses that used complex analysis,
for sure). Math certainly does have an uncanny way of connecting both with
other areas of itself and the real world.
I think Commons Math will be unusually hard pressed (compared to other math
libraries) to choose what we feel are the most useful / commonly used features
for inclusion in the library. If we were working on a more general purpose
math library, the constraints obviously wouldn't be as tight.
Al

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