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