Sentence examples for applying the sufficient from inspiring English sources

The critical diagonal elements, regulator gain coefficients and form of the space-average sensors are evaluated by applying the sufficient stability criterion which followes from the Gershgorin theorem.

In this case, applying the sufficient condition derived in [37] to model (19) gives the following uniqueness condition: PF M r ( P − 1 ) ( F M r − 1 ) ≥ 2 R ( R − 1 ).

The Chief Justice of Singapore, Chan Sek Keong, suggested extrajudicially during a 2010 lecture that Singapore courts may not apply the sufficient interest test with the same rigour as the UK courts.

Then by applying the BRL, sufficient conditions can be obtained for the asymptotic stabilizability of the uncertain ITDS with a prescribed H∞ performance index.

Remark 1 We can similarly obtain second-order sufficiency conditions of the problem by applying the following KKT sufficient conditions (page 320, Proposition 3.3.2 in [20]): If (27) to (37) hold for some x and μ i  > 0, i = 1, … m, then x is a strict local minimum.

By applying the differential inequality theory, sufficient conditions which guarantee the permanence of the system are obtained.

Concordantly, the current results demonstrated that applying the PNS_1 definition was sufficient to identify FEP patients with PNS at risk of poor functioning 12 months after entry into a FEP program.

Second, we did not include patients with pathology of small arteries; we cannot therefore be sure that improvement of image quality of small cerebral arteries by applying the ToBE method is sufficient for detecting pathologies in these arteries.

Moreover, by applying the Lyapunov function method, a sufficient condition of couple-group consensus is established in terms of a matrix inequality when the communication topology is switching.

Note in this respect that applying the inverse CRF is not sufficient to obtain estimates of the RAW sensor data, because the component-wise CRF does not take color space operations (such as color corrections, white balancing,..) into account.

By applying the cut-off score for sufficient treatment satisfaction, 33 adolescents (65%) could be perceived as satisfied and 18 adolescents (35%) as unsatisfied regarding the care received.