Definition:Error/Absolute

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Definition

Let $x$ be an approximation to a (true) value $X$.


The absolute error $\varepsilon$ is the difference between $x$ and a $X$, and can be defined in one of three ways:

\(\text {(1)}: \quad\) \(\ds \varepsilon\) \(:=\) \(\ds X - x\)
\(\text {(2)}: \quad\) \(\ds \varepsilon\) \(:=\) \(\ds x - X\)
\(\text {(3)}: \quad\) \(\ds \varepsilon\) \(:=\) \(\ds \size {X - x}\)

where $\size {X - x}$ denotes the absolute value of $X - x$.

Different sources use different conventions.


Also see


Sources