Sentence examples for bounds on the error from inspiring English sources

An observation law which guarantees the bounds on the error is also proposed.

If state and error (initially) lie in some operation regions, then, some bounds on the error can be proved.

The a posteriori error estimator yields global upper and local lower bounds on the error measured in the L2-norm.

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

We further prove the soundness of these foldings in terms of stability preservation and provide bounds on the error that they introduce with respect to the original model.

We design an adaptive algorithm with no heuristic steps for solving the considered problems, and provide rigorous bounds on the error.

Then, the theorem follows by using Lemma 2. Proof Step 1: Bound on the error covariance.

Upper bounds on the L2 error of least squares regression estimates are presented, which bound the error of the estimate in case that in the sample given to the estimate the values of the independent and the dependent variables are pertubated by some arbitrary procedure.

Using T D,N), the upper bounds on the event error probability P E and the bit error probability P B of a code with rate R i  = k/v are given as follows: {P}_Ele {displaystyle sum_{d={d}_{free}}^{infty }}{a}_d{P}_d (5) {P}_Ble frac{1}{k}{displaystyle sum_{d={d}_{free}}^{infty }}{c}_d{P}_d.

The conditional CF of MAI together with bounds on the probability error rate for the DS-SSMA scheme are obtained here, whereas [14] derived only the average probability of error at the correlation receiver's output for binary as well as quaternary synchronous and asynchronous DS-SSMA schemes which use a random signature sequence.

In addition, there is no objective basis for establishing bounds on the sampling error when a nonprobability sample has been used.