Sentence examples for proof methods for from inspiring English sources

By using similar proof methods for Theorems 4.9 and 4.10, we get the following results.

By the similar proof method for, we get.

Using the proof method for Theorem 3.1 and Lemma 2.8, we get the following theorem.

The proof method for the main result is simplified under some new assumptions on the bifunctions.

By the similar proof method for Theorem 4.9, it follows from Proposition 3.14 that the conclusion holds.

We present a resolution-based proof method for finite-valued propositional logics based on an algorithmic reduction procedure that expresses these logics in terms of bivalent semantics.

But so it was, for Riemann's proof method for his mapping theorem marked the introduction of the use of elliptic equations and the solution of elliptic variational problems to treat geometric questions.

By the similar proof method for the convexity of in [20, Theorem ?5.1], just replacing -order generalized adjacent epiderivative by -order weakly generalized adjacent epiderivative, we have that is a convex set.

Second, there are no fool-proof methods for cloning only full-length cDNAs, or identifying cDNA clones that are not full-length.

There is no single fool-proof method for the expedient isolation of RNA from tissue samples.

To test immunoreactivity of the antibody for the full-length α7 subunit an approach combining α-cobratoxin affinity purification and Western blot analysis of α7 nAChR was carried out as a unique reliable knockout-proof method for immunolabelling of the receptor (Moser et al., 2007; Orr-Urtreger et al., 1997).