Sentence examples for can 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.

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

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

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.

The formulas above can be proven by using either the properties of the Wigner transform, or by a calculation of Gaussian integrals using the operators S ˆ W, m defined by formula (67).

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.