Sentence examples for useful bound from inspiring English sources

Therefore X min ( 2 ) does not provide a useful bound on the probability of extinction as the bound q≥0 is obvious.

yielding a perfunctory but conceptually useful bound for ℱ that could be improved in detail by using again the left-hand side of (4.13).

Since IF BB requires the knowledge of the original WZ frame, X, this technique cannot be employed in a realistic scenario (as for IF), but it is a useful bound for what concerns the performance which can be reached using the learning approach presented in the next section.

Next we prove a lemma that provides a useful bound on B1 and λ1.

This factorized form of the FIM immediately provides a useful bound on its rank.

Unlike X max ( 2 ), X min ( 2 ) does not provide a useful bound on the probability of extinction.

We now provide a different formulation that will be used to develop another useful outer bound and an inner bound on the achievable rate region.

We now discuss a useful upper bound.

The following proposition defines a useful upper bound on the performance attainable with intercell conferencing and intracell TDMA.

By further probing the sensitivity limitations of D2, a useful lower bound of its practical implementation can be determined.

A useful lower bound is the minimal values that ensures that the HMM parameters remain valid.