Accuracy

Accuracy[x] gives the effective number of digits to the right of the decimal point in the number x.

Accuracy[x] gives a measure of the absolute uncertainty in the value of x.

With uncertainty dx, Accuracy[x] is -Log[10, dx].

For exact numbers such as integers, Accuracy[x] is Infinity.

Accuracy[x] does not normally yield an integer result, and need not be positive.

For machine-precision numbers, Accuracy[x] gives the same as $MachinePrecision - Log[10, Abs[x]].

Accuracy[0.] is Log[10, $MinMachineNumber].

Numbers entered in the form digits``a are taken to have accuracy a.

If x is not a number, Accuracy[x] gives the minimum value of Accuracy for all the numbers that appear in x.

See Section 3.1.4.

See also: Precision, N, Chop, SetAccuracy.

New in Version 1; modified in 5.0.

Further Examples