Sentence examples for the second proof from inspiring English sources
Gödel's original proof of the completeness theorem is closely related to the second proof above.
That said, Locatelli's bread boasts the best examples of those "dimples" that are such a characteristic feature of the focaccia – I think because his are made directly before baking, as opposed to before the second proof.
The second proof of Theorem.
The second proof is based on the distinction between necessary and possible (or contingent) existents.
Before giving the second proof of Theorem 1, we need the following definition.
The second proof includes the Lipschitz summation formula following Luo's method in [3].
In the second proof-of-principle study, we designed three differently labeled probes (Figure 4A) to identify six mutations of HBV associated with resistance to lamivudine and/or adefovir, the most commonly used nucleoside analogs for treatment of HBV infection.
This is the first proof that the prediction is legitimate".
His study was, says Nutt, the first proof of this.
(Arora et al., 1998; Arora and Safra, 1998) in the first proof of the PCP theorem.
Zermelo (1904) gave the first proof that any set can be well-ordered.
