Sentence examples for verifying the first from inspiring English sources

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.

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.

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

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

Once the owner of the radio verified the first boy's story, he, too, was released.

This verifies the first assertion.

This also verifies the first part of statement (b).

end{aligned} (2.6) Therefore, the expressions (2.5) and (2.6) verify the first inequality of the lemma.