Re: How to use "Solve" to get only real number solutions?
- To: mathgroup at smc.vnet.net
- Subject: [mg55140] Re: [mg55132] How to use "Solve" to get only real number solutions?
- From: "Christoph Lhotka" <lhotka at astro.univie.ac.at>
- Date: Mon, 14 Mar 2005 03:43:39 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
Hi there is a package, which redefines all functions, so that you only get
real valued solutions called RealOnly
You load it into your Mathematica Session with
In[..]:=Needs["Miscellaneous`RealOnly`"]
Now you will get only real answers...
Another option is to use the function Select...
In[..]:=Solve[...]
Out[...]:={x->,x->,...}
In[..]:=Select[%,FreeQ[#[[2]], I * _]&]
Out[..]:=...
Or use DeleteCases to delete all expression holding imaginary parts.
best wishes...
On Sun, 13 Mar 2005 04:57:54 -0500 (EST)
"PengYu.UT at gmail.com" <PengYu.UT at gmail.com> wrote:
> Hi All
>
> For example I have the following function and I want to find the
> solution of the quation shown below. But Mathematica showns not only
> real number solutions. Do you know how to restrict the solutions to
> only real numbers. Thanks!
>
> Best wishes,
> Peng
>
> intensity[x_, δ_, p_, λ_] := 1/4 + (2*Cos[(Pi*x)/100])/Pi +
> (4*Cos[(Pi*x)/100]^2)/Pi^2 - (2*Cos[(3*Pi*x)/100])/(3*Pi) -
> (8*Cos[(Pi*x)/100]*Cos[(3*Pi*x)/100])/(3*Pi^2) +
> (4*Cos[(3*Pi*x)/100]^2)/(9*Pi^2)
>
> Solve[intensity[x, 0, 200, 50] == 0.3*(1/4 + 32/(9*Pi^2) +
> (4*Sqrt[2])/(3*Pi)), x]
>
-- Christoph Lhotka --
University of Vienna
Institute for Astronomy
Tuerkenschanzstr. 17
1180 Vienna, Austria
fon. +43.1.4277.518.41
mail. lhotka at astro.univie.ac.at