Sentence examples for bound for the errors from inspiring English sources

In the former case, we chose to focus our attention on r t o l, as it plays a somewhat similar role to ε in the latter ones, i.e. as a relative bound for the errors.

Most algorithms provide the acceptable bound for the error between y and Φs [17 26].

In the following theorem, we find a bound for the error (vert mu^-mu_{N,k}vert ).

The first subsection is related to presenting a bound for the error of the proposed method; meanwhile, in the second subsection, the stability of the numerical solution is investigated briefly.

The optimal bound for the error on the measurement of Earth's Schwarzschild radius is given by: begin{aligned} frac{vertDelta r_{S}vert}{r_{S}} geqfrac{1}{sqrt{2N}sinh(s)} frac{sigma}{Omega} vert delta_{S} vert^{-1}.

Finally, we can gain the result of delay bound for the error system: d i k ≤ e i k + n − 1 L max R + l i k R + l i k r i.

This represents the lower bound for the error.

In this section, we show that under appropriate assumptions, the ZZ-type error estimators proposed provide an upper bound for the error (reliability) and, up to some higher-order terms, also a lower bound for the error (efficiency).

Under a non line of sight (NLOS) condition, the roll off factor has negligible effect on error bounds, while under LOS condition, a higher roll-off factor helps to improve the bound for the timing error, possibly due to the sharper form of the first arrival in this case, related to the increase in the bandwidth.

The bound for the localization error is (33).

We also derived a lower bound for the estimation error of the proposed estimator.