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 | > > | > | > |