Sentence examples for sufficient bounds from inspiring English sources

A design brief may provide some direction to initial design activity, but rarely sets sufficient bounds on it to allow a design team to know when their efforts are adequate, or not, to fulfil the requirements.

Then the case of matrices in which the interval parameters enter nonlinearly into the entries is considered and again using the qualitative stability of Ecology ideas, sufficient bounds on these parameters are obtained.

Thus, from the above equality, we know that if we want to bound (|lambda_{k}^{(l)}|), it is sufficient to bound (nu_{l}).

However, in immortalised breast epithelia, efficient S phase arrest minimised chromosome damage and protected sufficient chromatin-bound replication licensing complexes to allow cell cycle re-entry.

To examine this possibility, As III) methylation was carried out for 10 min with concentrations of enzyme (5 μM) and As III) (20 μM) higher than in the usual assay conditions to obtain sufficient enzyme-bound form.

Based on the closed-form rate bounds, sufficient and necessary conditions on the feedback channels to ensure nonzero and full downlink multiplexing gain are obtained.

By introducing a newly augmented Lyapunov Krasovskii functional and considering the relationship between time-varying delays and their upper delay bounds, sufficient conditions are derived in terms of linear matrix inequalities such that the filtering error system is finite-time bounded and a prescribed noise attenuation level is guaranteed for all non-zero noises.

The purpose of this article is to propose a solid mathematical framework to characterize the dynamical properties of neural field systems with propagation delays and to show that it allows us to find sufficient delay-dependent bounds for the linear stability of the stationary states.

In particular, we will see how the information provided by the analysis of uncertainty relations of Sect. 3 are sufficient to establish bounds on the number of subregions observed in the family of filters implemented in V1, and permit to reobtain characteristic sampling rates commonly used in image analysis.

We show that LRs generated by likeLTD usually do exceed the mixture LR given sufficient replicates, are bounded above by the inverse match probability and do approach this bound closely when this is expected.

Brad Cicero, a Porter spokesman, said the airline hoped there would be sufficient United States-bound traffic at Toronto City to allow for a re-evaluation of the request "in the next 12 to 18 months".