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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>