Sentence examples for be proven by using from inspiring English sources

Theorem 2.3 can be proven by using the ideas in the proof of [30], Theorem 2.

Theorem 2.2 can be proven by using the ideas presented in the proof of [28], Theorem 3.3.

Proof We see that this result can be proven by using a similar method to Theorem 3.1.

However, the third property of the original objective function still holds, i.e., the objective function in (15) provides shortest paths in terms of hop distances satisfying both the transmission rate and QoS requirement of each sublayer, which can be proven by using the similar approach to the third property of Theorem 1.

However, Patel and Rao [ 30] reasoned that the lack of activity can be proven by using large doses.

This can also be proven by using the mathematical induction as described for single protein ligands in Conzelmann et al. [ 16] (data not shown).

It can be proved by using contraction.

This can be proved by using (1.2) and (3.1).

This can be proved by using the techniques similar to those used in Theorem 2.2.

The second part can be proved by using similar arguments and using (1.9).

This can be proved by using (5.1 - 5.4 5.1 - 5.4dopting the anduments in Remark 3.2.