Sentence examples for define an upper bound from inspiring English sources

We can define an upper bound on the ℓ2 norm of estimation error e ≜ ∥ x ̂ ( m, f ) − x ∥ 2 as e ≤ u 1 ( x ̂ ( m ) ) ≜ sup x ∈ X ( m ) ∥ x ̂ ( m ) − x ∥ 2. (33).

See Appendix J. Based on the previous lemmas, we can now formally define an upper bound for a real-time user's parameter, with respect to (A.1), as follows.

The key feature of this approach is that it is possible to define an upper bound on their runtime as a polynomial with respect to the number of maximal cliques in a graph.

Regardless of the type of the estimator, if an estimate of the target node position is available, we can define an upper bound on the position error e with respect to the feasible set [9].

And we define an upper bound on the performances of the policies by assuming that the channel fading levels and energy arrivals in the [0, T] interval are known non-causally.

Second, as a result of the search tree topology, for each node C we can define an upper bound and lower bound.

Hence, the maximum length of the intersection defines an upper bound on the absolute value of position error for the POCS estimator.

According to the discussion in section 3, let us define an optimization problem to derive an upper bound on the position error as e ≜ ≤ v max ( x ̂, ℬ ′ ) = max ∥ y − x ̂ ∥ 2 : y ∈ ℬ ′. (15).

Additionally, we define an upper dose bound for PTV as (D_{1}^{mathrm{U}}> D_{1}^{mathrm{L}}) to avoid excessively high dose values inside the PTV.

We have, then, defined the maximum distance from the estimate to every point in the feasible set as an upper bound on the position error.

Fortunately, it is not expected that the genes are regulated for many predictors [ 43, 44] and an upper bound for n p can be defined.