Approximation error: Difference between revisions

Revision as of 06:08, 3 April 2006

Revision as of 20:44, 10 May 2006

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Given some value ''a'' and an approximation ''b'' of ''a'', the '''absolute error''' is

:<math>\epsilon := |a - b|\,</math>

and the '''relative error''' is

:<math>\eta := \frac{|a - b|}{|a|} </math>

and the '''percent error''' is

:<math>\delta = \frac{|a-b|}{a}\times{}100\%</math>

:<math>\eta := \frac{|a - b|}{|a|} </math>

where the vertical bars denote the [[absolute value]].