Given a Formula with an Absolute Error in of , the Absolute Error is . The
Relative Error is . If , then
Now consider addition of quantities with errors.
For division of quantities with
For exponentiation of quantities with
For Logarithms of quantities with
For multiplication with
See also Absolute Error, Percentage Error, Relative Error
Abramowitz, M. and Stegun, C. A. (Eds.).
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing.
New York: Dover, p. 14, 1972.
Bevington, P. R. Data Reduction and Error Analysis for the Physical Sciences. New York:
McGraw-Hill, pp. 58-64, 1969.
Bevington, P. R. Data Reduction and Error Analysis for the Physical Sciences. New York: McGraw-Hill, pp. 58-64, 1969.
© 1996-9 Eric W. Weisstein