Re: Study of a real function
- To: mathgroup at smc.vnet.net
- Subject: [mg123462] Re: Study of a real function
- From: DrMajorBob <btreat1 at austin.rr.com>
- Date: Thu, 8 Dec 2011 05:23:56 -0500 (EST)
- Delivered-to: l-mathgroup@mail-archive0.wolfram.com
- References: <201112071114.GAA04209@smc.vnet.net>
- Reply-to: drmajorbob at yahoo.com
Send a simple version that illustrates the problem. That probably requires
only two integers.
Bobby
On Wed, 07 Dec 2011 05:14:12 -0600, Vicent <vginer at gmail.com> wrote:
> Hello.
>
> This is an "old" question ,but I would like to ask it here again in order
> to get your suggestions. I would appreciate any kind of help.
>
> I am interested in studying a one-variable real function called F(x). In
> fact, I want to PROVE what I can see when I plot it: it has only one
> maximum and it decreases as "x" goes to infinity, and it also decreases
> if
> "x" decreases ("x" ranges from 2 to infinity).
>
> The problem is that the definition or expression for F depends on some
> integer parameters. So, in fact, I don't have a single function F but a
> "set" or "class" or "collection" of functions F with the same structure.
> By
> plotting them it seems to me that in ALL possible cases F will have the
> same behavior I want to prove, but obviously the maximum depends on the
> values of the integer parameters I just mentioned. And I want to PROVE it
> for the general case, of course.
>
> I got the analytic expression for the first derivative of F by using
> this:
>
> derivF[p1_, p2_, x_] = D[F[p1, p2, x], x]
>
> where p1 and p2 stand for those integer parameters I mentioned.
>
> I tried to look for maximums and/or mimimums of F by solving The
> function derivF
> derivF ==0, but derivF seems to be too complex for the Mathematica
> command
> Solve.
>
> I also tried to do something like this: Reduce[F[parameters, x] <= 0,
> lambda], but it is still "Running...".
>
> So... What would you recommend me to do? F is a "strange" but still
> continuous function. It involves the use of the function "Erfc".
>
> Thank you in advance for your suggestions.
>
>
> --
> vicent
> dooid.com/vicent
--
DrMajorBob at yahoo.com
- References:
- Study of a real function
- From: Vicent <vginer@gmail.com>
- Study of a real function