Sentence examples for bound of the required from inspiring English sources

The next section summarizes the theory for curve evolution realized as LS motion, then some definitions follow and the two theorems on worst-case bound of the required number of iterations with their proofs close the theoretical part.

In this study, we adopt the maximum power reduction (MPR) mask equation proposed by 3GPP [25], though in practice the proposed MPR mask only represents an upper bound of the required power back-off.

Then, it is observed that the condition number provides an upper bound of the required relative joint velocity change for recovering the faults which leads to define the optimal fault-tolerant configuration from the minimization of the condition number.

In order to investigate the strong convergence bound of, we require knowing the convergence rate of (2.1).

The criterion for statistical significance (P<0.05) was equivalent to requiring that the lower bound of the confidence interval for vaccine efficacy exclude 0%.

The knowledge of upper bound of uncertainties is not required.

Furthermore, the knowledge of upper bound of uncertainties is not required.

Achieving the capacity upper bound of this system, however, requires full cooperation among the relays to allow for joint data decoding as in MIMO point-to-point systems.

An adaptive law is designed to estimate the gain of the integral sliding mode controller such that the chattering behavior is alleviated and the upper bound of uncertainties is no longer required a priori.

By considering both reception time of nodes in S ij and Vi(j+1), this means in the worst case, t ij is equal to Depth(G[U∪C],i +54T r-j),i +54T r-jves the required bound of t ij ≤Depth(G[U∪C],i)+54T(r-j). Thus, this lemma is also true for layer i.

Two former senior American diplomats, not bound by the discretion required of the secretary of state, predicted that Mr. Mubarak's political demise was only a matter of time.