Definition:Absolute Error/Also defined as

Absolute Error: Also defined as

Let $x_0$ be an approximation to a (true) value $x$.

The absolute error of $x_0$ in $x$ can also be seen defined as:

\(\text {(1)}: \quad\)

\(\ds \Delta x\)

\(:=\)

\(\ds x - x_0\)

\(\text {(2)}: \quad\)

\(\ds \Delta x\)

\(:=\)

\(\ds \size {x_0 - x}\)

where $\size {x_0 - x}$ denotes the absolute value of $x_0 - x$.

Also see

• Definition:Relative Error

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): absolute error
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): absolute error
• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): error
• 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): error