Sentence examples for main proofs from inspiring English sources

This entails main proofs based on a false result, which invalidates all statements.

In Section 3, we state the main proofs of our theorems.

The main proofs of theorems are presented in Section 6, with two real examples in Section 7.

We only sketch the main proofs and some function definitions are omitted for brevity, when they are trivial.

The main proofs will be obtained in the next section, and they mainly depend on the non-asymptotic exponential inequalities about the general β Tracy-Widom law, weak convergence, and small deviation inequalities about the largest eigenvalues of the β ensembles.

"There's not this vast problem of discrimination in Houston," he said, and Parker "is one of the main proofs.

The voluminous diaries kept by the composer's second wife, Cosima, have supplied the main proof.

But last fall, the department stopped accepting his federally issued work permit, a document that was his main proof that he was in the country legally, because he does not have a green card.

Now, we enter the main proof of this theorem.

The main proof techniques are Matchgate Identities and a Group Property of matchgate signatures.

"It is our main global competition, but also our main proof point for a successful data-driven fiction publisher.