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Re: Approximation

• To: mathgroup at smc.vnet.net
• Subject: [mg116449] Re: Approximation
• From: "Ingolf Dahl" <ingolf.dahl at telia.com>
• Date: Wed, 16 Feb 2011 04:32:58 -0500 (EST)

I would form a new variable eps, such that R = eps G, eliminate R from the
expression, so that the expression becomes a function of eps, and then make
a power series expansion in eps about eps == 0, using the command Series or
SeriesCoefficient. Then I would keep the first non-vanishing term, and maybe
some more terms, depending on the problem. At the end I might
back-substitute R again.

Best regards

Ingolf Dahl
Sweden
ingolf.dahl at telia.com

> -----Original Message-----
> From: Rui [mailto:rui.rojo at gmail.com]
> Sent: den 15 februari 2011 12:35
> To: mathgroup at smc.vnet.net
> Subject: [mg116438] Approximation
> 
> 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