Services & Resources / Wolfram Forums / MathGroup Archive
-----

MathGroup Archive 2011

[Date Index] [Thread Index] [Author Index]

Search the Archive

Re: Approximation

  • To: mathgroup at smc.vnet.net
  • Subject: [mg116561] Re: Approximation
  • From: Rui <rui.rojo at gmail.com>
  • Date: Sat, 19 Feb 2011 05:16:05 -0500 (EST)
  • References: <ijgdb5$bs1$1@smc.vnet.net>

On Feb 16, 6:44 am, Alexei Boulbitch <alexei.boulbi... at iee.lu> wrote:
> The operators Series[]//Normal will do the job for you. For example:
>
> expr = 1/Sqrt[R^2 + G^2];
> Simplify[Series[expr, {R, 0, 2}], Assumptions ->  G>  0]
> Simplify[Series[expr, {R, 0, 2}] // Normal, Assumptions ->  G>  0]
>
> SeriesData[R, 0, {G^(-1), 0, Rational[-1, 2] G^(-3)}, 0, 3, 1]
>
> 1/G - R^2/(2 G^3)
>
> Have fun. Alexei
>
> Is there a way to tell Mathematica to simplify and approximate an
> expression assuming things such as "R is a lot smaller than G"/ R<<G ?
> If not so, how would you approach the problem?
>
> Thanks
>
> --
> Alexei Boulbitch, Dr. habil.
> Senior Scientist
> Material Development
>
> IEE S.A.
> ZAE Weiergewan
> 11, rue Edmond Reuter
> L-5326 CONTERN
> Luxembourg
>
> Tel: +352 2454 2566
> Fax: +352 2454 3566
> Mobile: +49 (0) 151 52 40 66 44
>
> e-mail: alexei.boulbi... at iee.lu
>
> www.iee.lu
>
> --
>
> This e-mail may contain trade secrets or privileged, undisclosed or
> otherwise confidential information. If you are not the intended
> recipient and have received this e-mail in error, you are hereby
> notified that any review, copying or distribution of it is strictly
> prohibited. Please inform us immediately and destroy the original
> transmittal from your system. Thank you for your co-operation.

Thanks a lot you all!

Rui Rojo


  • Prev by Date: Re: Pattern matching
  • Next by Date: Re: y-axis direction
  • Previous by thread: Re: Approximation
  • Next by thread: 3D of combine plot