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Re: propagating errors


From: Thomas Shores
Subject: Re: propagating errors
Date: Wed, 01 Dec 2010 13:23:44 -0600
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On 12/01/2010 06:00 AM, Isak Delberth Davids wrote:
Dear all,

Do we have a tool that computes error propagation (given "initial" errors) as variables get computed. I read about a class @meas in Matlab, but since I do not have Matlab I cannot even teach myself its use. I am trying to avoid first writing down some tedious error propagation formulae and then coding them --- or is that my ultimate choice?

Regards,
Isak

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There is a methodology for this kind of problem called "interval arithmetic".  It calculates intervals in which a computed answer must lie.  There are software packages that implement interval arithmetic, e.g., libraries in C++ and Fortran, extensions and toolboxes in Matlab and capabilities in CASs like Maple.  Also, a free language similar to Octave  called the Euler Math Toolbox has interval arithmetic capabilities.  But, AFAIK, there is no such implementation in Octave.  You might check these options before coding your own formulas, which could be a *lot* of work and reinventing the wheel anyway.

Thomas Shores

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