Sentence examples for apply propositions from inspiring English sources

Let us now apply Propositions 2 and 3 to establish the stability conditions for the zero solution of (1).

Note that in implementing the greedy controller in (74), we repeatedly apply Propositions 1 and 2, which are feedback control, that is, measurement is implicit.

In order to apply Propositions 1 and 2 to derive the optimal bandwidth and transmit power, it is necessary to prove that the capacity estimation (18) for SU-MIMO and (22, 23) for MU-MIMO are all strictly concave and monotonically increasing.

They had previously asked the Legislature to pass legislation to apply Proposition 34's contribution limits to committees that existed before its passage.

We will apply Proposition 2.2.

(ii) We apply Proposition 2.2.

To prove (3.25), we apply Proposition 3.2.

Proof We shall apply Proposition 3.2 to the algebra R ∗.

We apply Proposition 9.1 to f t and f ′.

Now we apply Proposition 3 to solve problem (48 - 49 48 - 49

We next apply Proposition 3.3 to the variational inequality problem.