I found it! (When in doubt use Wikipedia). But it also gives additional uses for 'analytic'.
http://en.wikipedia.org/wiki/Closed-form_expression
Dennis J. Darland
dennis.darland at yahoo.com
http://dennisdarland.com/http://dennisdarland.com/dennisdaze/http://dennisdarland.com/philosophy/http://sode.sourceforge.net/
?Why is it not possible to get some of the people in these downtrodden countries to like us instead of hating us?", Eisenhower (From _Beyond America's Grasp: A Century of Failed Diplomacy in the Middle East_ by Stephen P. Cohen, page 67)
--- On Mon, 2/4/13, Dennis Darland <dennis.darland at yahoo.com> wrote:
> From: Dennis Darland <dennis.darland at yahoo.com>
> Subject: Re: [Maxima] "Begs the question"
> To: "math maxima" <maxima at math.utexas.edu>, "Barton Willis" <willisb at unk.edu>
> Date: Monday, February 4, 2013, 5:57 PM
> Then I am misusing the term
> 'analytic' in my program. I want a term that applies to
> functions can be expresses in terms of '+', '-', '*', '/',
> trig functions, log & exponentiation etc. There are
> functions which are analytic but cannot be so expressed.
> What term should I use for them?
> (I have 'closed form' in my mind, but cannot find it in math
> dictionaries or indexes of several math books.)
>
> Dennis J. Darland
> dennis.darland at yahoo.com
> http://dennisdarland.com/
> http://dennisdarland.com/dennisdaze/
> http://dennisdarland.com/philosophy/
> http://sode.sourceforge.net/
> ?Why is it not possible to get some of the people in these
> downtrodden countries to like us instead of hating us?",
> Eisenhower (From _Beyond America's Grasp: A Century of
> Failed Diplomacy in the Middle East_ by Stephen P. Cohen,
> page 67)
>
>
> --- On Mon, 2/4/13, Barton Willis <willisb at unk.edu>
> wrote:
>
> > From: Barton Willis <willisb at unk.edu>
> > Subject: RE: [Maxima] "Begs the question"
> > To: "Dennis Darland" <dennis.darland at yahoo.com>,
> "math maxima" <maxima at math.utexas.edu>
> > Date: Monday, February 4, 2013, 5:16 PM
> > A function from some subset of C to C
> > (complex numbers) is analytic on an open set S if the
> > function is differentiable on S.
> > A function from some subset of R to R (real numbers)
> is
> > analytic on an open set S if the
> >
> >
> > --Barton
> >
> > ________________________________________
> > From: maxima-bounces at math.utexas.edu
> > [maxima-bounces at math.utexas.edu]
> > on behalf of Dennis Darland [dennis.darland at yahoo.com]
> > Sent: Monday, February 04, 2013 16:14
> > To: math maxima
> > Subject: "Begs the question"
> >
> > The meaning of expressions can change with time. As in
> "begs
> > the question." Misuse of an expression can change its
> > meaning. For me it is "begging the question" (in the
> new
> > sense) whether I am using the term "analytic" solution
> in my
> > test results correctly. I have checked a couple
> dictionaries
> > of mathematics with no luck. I know "analytic" does
> have
> > another meaning, but I am not sure if I am using it
> wrong.
> > Also I am really speaking of a numerical evaluation of
> that
> > analytic solution. (Or should I be saying "closed
> form"
> > solution?) I have been working on all this practically
> by
> > myself, on and off, for over thirty years, with no one
> to
> > ask questions of, or talk to. I am not intending to
> misuse
> > "analytic".
> >
> > Dennis J. Darland
> > dennis.darland at yahoo.com
> > http://dennisdarland.com/
> > http://dennisdarland.com/dennisdaze/
> > http://dennisdarland.com/philosophy/
> > http://sode.sourceforge.net/
> > ?Why is it not possible to get some of the people in
> these
> > downtrodden countries to like us instead of hating
> us?",
> > Eisenhower (From _Beyond America's Grasp: A Century of
> > Failed Diplomacy in the Middle East_ by Stephen P.
> Cohen,
> > page 67)
> > _______________________________________________
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> > Maxima at math.utexas.edu
> > http://www.math.utexas.edu/mailman/listinfo/maxima
> >
> >
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