Sentence examples for applying the conditions from inspiring English sources

Applying the conditions of problem (2.1), the constant (c_{1}) is vanished.

Applying the conditions (H1) and (H3) to stochastic functional Kolmogorov systems (1.2) gives.

Finally, applying the conditions on the eavesdropper receiver for the three cases simplifies the bounds in (44) to (41a), (41b), and (41c).

In Table 2, the performance of the proposed algorithm with and without applying the conditions is shown in terms of the SDR improvement (dB) and ERLE (dB) for utterance 1.

Thus, we have v_{1}(t)=(mathscr{Q}0) (t)ge0=v_{0}(t),quad forall tin J. Applying the conditions (H1) and (H2), it is easy to prove the operator (mathscr{Q}) is nondecreasing.

Applying the conditions (liminf_{trightarrow infty} A_{i}(t)>0 ) ((i=1,2,3)) and the definition of the inferior limit, we see that there are constants (bar{alpha}>0) and (T^{diamond}>0) such that (A_{i}(t geqbar{alpha}) ((i=1,2,3)) for all (tgeq T^{diamond}).

Applying the condition (2operatorname{Re}lambda+|mu|^{2}<0) yields | mu|^{4}< 4 operatorname{Re}lambda)^{2}.

Three PPT measurements will be repeated 30 s after applying the conditioned stimulation.

The first and most obvious method is to apply the conditions that apparently give the best results.

The District Medical Officer who sanctioned the introduction of AFR continued to apply the conditions in the next posting in the regional office.

We apply the condition to concrete examples.