11. The following shows the approximations and their absolute and relative errors for both methods of approximation. 12. More accurate approximation for the force-extension behavior with about 1 % relative error is: 13. All these numbers round to 1 with relative error a / ( 1 + a ). 14. Another application is in the computation of approximation errors when the relative error of a measurement is required. 15. When the percentage or relative error is normally distributed, least squares percentage regression provides maximum likelihood estimates. 16. The ratio of the relative error in the solution to the relative error in " b " is 17. The ratio of the relative error in the solution to the relative error in " b " is 18. The asymptotic notation meaning, again, that the relative error of this approximation approaches 0 as increases without bound. 19. Given a condition number, the relative error of compensated summation is effectively independent of " n ". 20. Since machine epsilon is a bound for relative error , it suffices to consider numbers with exponent e = 0.
