Sentence examples for bound on the difference from inspiring English sources

First we will prove a bound on the difference between any two regularized solutions (2.4).

In that sense our estimate provides a lower bound on the difference of emergency department utilization between the insured and the uninsured.

We emphasize that our analysis provides an estimate of the lower bound on the difference between optimal and heuristic solution, since alignments generated by MaxPairs are not always optimal (in the strict sense).

As with the previous two methods, our methodology will rely on the construction of an appropriate function S that sets an upper bound on the difference between the outputs of the two models, followed by a computationally efficient formulation for the construction of this function using SOS.

As with Lemma 2.6 we see that Lemma 2.12 establishes a lower bound on the nabla difference, and it does so in terms of the Taylor monomials.

This therefore gives a bound on the detectable difference achievable in a trial with a fixed number of clusters.

If there exists a γ > 0, and a continuously differentiable function S: satisfying (11) then In other terms, γ is the desired upper bound on the maximum difference in the output of the nonlinear rival models.

In particular, given a read R, we compute a lower bound array,, where is the lower bound on the number of differences of matching the substring with the reference.

Therefore, we need to solve the following optimization problem: (9) The sequence of results presented so far asserts that the presence of a function S with the properties delineated above provides an upper bound on the energy of the difference of the outputs of two rival models.

To discriminate between the two models based on an optimally chosen input profile, we first obtained an upper bound on the L2-gain of the difference system from input S to output (A, I, R*) using the algorithm in section C of Methods.

The strategy relies on the design of an IMC controller which minimizes a bound on the tracking error, defined as the difference between desired and actual input to the static nonlinearities.