Sentence examples for bounds of the error from inspiring English sources

(Upper and lower bounds of the error in time).

It estimates upper and lower bounds of the error in energy norm.

This technique produces accurate estimations of the exact error but is not designed to naturally produce upper bounds of the error in energy norm.

Lower bounds on the error of any algorithm in the case of a larger number of singularities are also discussed.

The stability analysis shows that both the estimation error and the tracking error of the control output are bounded and that the upper bounds of the errors monotonously decrease with the increase of the observer bandwidth.

The convergence analysis and the upper bound of the error for the proposed method are presented.

which leads to the upper bound of the error probability of an code [5] (5).

For (d), only the upper bound of the error bar is shown.

The lemma issues an abstract but a useful formula for calculating the upper bound of the error propagation.

Also in this subsection, special attention is given to study the convergence analysis and evaluating the upper bound of the error of the proposed formula.

Several numerical case studies are investigated and it is demonstrated that the estimate reliably predicts an upper bound of the error in numerically obtained solutions.