In turn, these bounds allow us to derive explicitly the sample complexity of these problems.
Concerning reliability, a posteriori error bounds allows a confident exploitation of the rapid predictive power of the RB approximation.
The resulting formulation is computationally superior to the traditional network design formulation because it achieves tighter bounds, allowing excellent integer solutions to be found quickly.
Given a reflecting geometry, the obtained lower bounds allow the radar operator to anticipate blind spots, place confidence levels on the localization results, and permit sensor positioning to optimally aid in exploiting multipath for target localization.
Still, we will not generate the sentiments required by the artificial virtues, until we manage to direct our generous passions beyond their natural bounds, allowing us to approve of the justice or honesty of all sorts of people in all sorts of situations, no matter their connection to us.
and m 1 ≤ x n ′ ( t ) ≤ B − n − 1 < B. Now, these bounds allow the application of Lemma 4.1 from which one infers that for each n ≥ n α, μ and t ∈ [ 0, T ] the bounds m 1 ≤ x n ′ ( t ) < ϕ α ( t ) ≤ B (4.5).
Tennessee's kickoff went out of bounds, allowing Tech's offense to start at its 35-yard line.
Marcos Rojo failed to put his clearing header out of bounds, allowing Oscar to play a lead pass to Drogba at the top of the 18-yard box.
The penalty became more than a footnote when UCLA's ensuing kickoff trickled out of bounds, allowing USC to start its drive at midfield.
For all the above, we utilized lognormal prior age intervals with soft upper bounds allowing ages to be sampled outside the prior distribution of age estimates [ 130].
