Sentence examples for bounds are given on from inspiring English sources

In [28], a resource slicing framework for radio access networks considering D2D communication pairs is proposed; by formulating the optimization problem as maximizing the total achieved throughput for the deployed links and the upper bounds are given on the achievable performance as well as low-complexity sub-optimal greedy-based algorithms.

Furthermore, based on the initial condition configuration, two worst-case bounds were given on the required number of iterations depending on the convexity of the object to be found.

As for the unconstrained case, where no bound is given on the length of each probe, they left as an open problem to determine whether this version of SBC is NP-complete or not.

We introduce some new relative efficiency criteria and their lower or upper bounds are given based on matrix norm inequalities in Theorem 3.1, Theorem 3.2 and Theorem 3.3.

The constants of the corresponding error bounds are given explicitly.

These upper bounds are given by triple variations.

All bounds are given as big-O notations.

Assuming the ETH, tight running time lower bounds can be shown; a survey on ETH-based running time lower bounds is given by Lokshtanov et al. [ 21].

where (a) is obtained from the upper bound in Lemma 2 and (b) is given on large K assumption.

Based on the time-varying network condition, the analytic lower and upper bounds of EDs are given.

The upper and lower bounds on interference power are given, followed by an approximation of the interference power, based on the modified upper bound, that significantly simplify calculation.