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MathGroup Archive 2006

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Re: Re: Please help: How to use Mathematica to get Parametric solution for a transcendental equation?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg69307] Re: Re: Please help: How to use Mathematica to get Parametric solution for a transcendental equation?
  • From: "Jens-Peer Kuska" <kuska at informatik.uni-leipzig.de>
  • Date: Wed, 6 Sep 2006 04:28:23 -0400 (EDT)
  • Organization: Uni Leipzig
  • References: <edjhha$lvs$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

and you still don't like the Mathematica syntax ??
You mean
A*(1 + G) + a*((1 + G)^t) == T

because the "[", "]" symbols indicate a function 
call and

*not* a algebraic grouping. And you can't find a 
algebraic solution

to a transcendental equation. You can try to use a 
Taylor series like

Solve[Normal[Series[A*(1 + G) + a*((1 + G)^t), {G, 
1, 4}]] == T, G]

and look how wide is the convergence radius.

Regards

  Jens

"Leonxf" <leonxf at gmail.com> schrieb im Newsbeitrag 
news:edjhha$lvs$1 at smc.vnet.net...
| Sorry. I just copied from Mathematica and pasted 
it. I have no idea why it
| becomes something unreadable.
|
| The function is just one:
|
| A*(1+G)+a*[(1+G)^t]=T, where A,a,t,T are all 
positive real numbers, and t is
| no larger than 1.
|
| Thanks.
|
| Leon
|
|
| On 9/2/06, Jens-Peer Kuska 
<kuska at informatik.uni-leipzig.de> wrote:
| >
| > Hi,
| >
| > can you try to use correct Mathematica syntax 
??
| > This means is D7(1+G) an algebraic bracket or 
a function
| > call and is D7[(1+G)^t] an algebraic bracket 
or a function
| > call and what does "====" mean together with 
"=" and
| > have you a single equation or several ones ??
| > Regards
| >   Jens
| >
| >
| > > Leonxf wrote:
| > > Dear All,
| > >
| > > I am new to the group. Nice to have all of 
you here.
| > >
| > > I have an urgent question: I have a 
transcendental equation, which is
| > >
| > > A=D7(1 + G) + a=D7[(1 + G)^t] ==== T, where 
A,a,T,t are unknown, but
| > A,a,T,=
| > > t
| > > are all positive real numbers, and t is no 
greater than 1. (I use ^ sign
| > > here to indicate "to the power of").
| > >
| > > What I hope to get is a parametric 
expression for G, say, G==f(A,a,t,T)
| > for
| > > some fucntion f().
| > >
| > > Is there anyway to do that? I noticed 
someone asked a similar question
| > > before, and an answer is to get Taylor 
Series, if that is the only way,
| > how
| > > to do that?
| > >
| > > Thank you in advance.
| > >
| > > Leon
| > >
| >
| >
| 



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