Sentence examples for verifying the second from inspiring English sources

For verifying the second statement, let f be a bounded continuous function on (mathbb {R}).

For verifying the second attack, we present an example that the message, key, and some details are shown in Table8.

Assumption [A5] is crucial for obtaining prior bounds of periodic solutions and verifying the second condition of Lemma 2.1.

We prove Lemma 2 by verifying the second derivative of Ũ i ( x ~ i ; θ i ) in terms of x ~ i.

In addition, verifying the second order sufficiency conditions would show that this stationary point is also a local maximizer for the problem (2).

But we do not have general efficient method for verifying the first inequality in (3) for arbitrary F due to its nonlinearity.

Also, prospective studies have adopted different study decisions on eligibility and in verifying the first menstrual cycle at risk of conception, making it difficult to compare their findings.

Thereby, we verify the second order of convergence and observe non-classical behavior in the evolution of the Wigner function.

We only verify the second inequality.

We now verify the second statement.

(ii) In this part, we verify the second conclusion of the lemma.