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| Keywords: Error centring.svg en A method for centring an error or uncertainty if two signed bounds for the error are known Suppose you have an approximation <math>M</math> for a certain quantity with a lower bound on the error of <math>\alpha</math> and an upper bound of <math>\beta</math> Then the true value lies somewhere in between <math>M + \alpha</math> and <math>M + \beta</math> We can centre the error by picking the midpoint <math>M+\frac \beta + \alpha 2 </math>; now our error is <math>\pm \frac \beta - \alpha 2 </math> Therefore the approximation can be written as <math>\left M+\frac \beta + \alpha 2 \right \pm \frac \beta - \alpha 2 </math> Concept from cite book Problem Book for First Year Calculus Bluman George W 1984 2013-04-17 10 32 04 own Eviatar Bach Inkscape cc-zero Uploaded with UploadWizard Files by User InverseHypercube Numerical analysis | ||||
