Symbols:Numerical Analysis/Tolerance

Tolerance

 * $\pm$

Defines a range in which a number may lie.

$x = a \pm b$ means $a - b \le x \le a + b$.

In the context of engineering, it is known as a tolerance, arising from the idea that any number within $\pm b$ of $a$ is a within a tolerable range of the desired value.

The despicable political term zero tolerance was supposedly coined as a reflection of the above engineering definition.

It of course takes someone with an actual mathematical or engineering background to understand how poisonously unachievable such an aspiration is.

Also see
See Arithmetic and Algebra for an alternative definition of this symbol.