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