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symbolic approximation (formular manipulation)

• To: mathgroup at smc.vnet.net
• Subject: [mg54991] symbolic approximation (formular manipulation)
• From: Zhe Hu <iamhuzhe at gmail.com>
• Date: Wed, 9 Mar 2005 06:34:18 -0500 (EST)
• Reply-to: Zhe Hu <iamhuzhe at gmail.com>
• Sender: owner-wri-mathgroup at wolfram.com

A formula in electrical engineering can be simplified after assuming,
e.g. R1<<R2, within 10% error tolerance.

How this kind of "simplify" or approximation can be performed by Mathematica?

For example, R1<<R2, R2<<R3

R1+R2                      R2                                      R2
---------------  --->  ------------------  ---------> ------------------
R1(R2+R3)               R1(R2+R3)                       R1 R3



I thought about replacing: R1->0.00001*R2, but that would eliminate R1
completely from the formula (denumerator), which is not favorable in
some cases.

• Follow-Ups:
  • Re: symbolic approximation (formular manipulation)
    • From: Daniel Lichtblau <danl@wolfram.com>