Sentence examples for next consequence from inspiring English sources

Minimizing the right hand part of (18) by h we obtain the next consequence.

Now, by using Theorems 3.1, 4.1 and 3.2, 4.2 we derive the next consequence.

The next consequence is the basic form of Jensen's inequality, as the main result in this section.

The next consequence of Theorem 3.3 provides an existence result for T-periodic solutions already obtained in [6].

The Corollary 2.1 shows that the convergence of τ * ( Y l p ( X ), l p ( X ) ) is equivalent to that of β * ( Y l p ( X ), l p ( X ) ). Combining this with Theorem 2.1, we obtain the next consequence which means that the convergence of { f ( A j ), n } is full invariant.

All's jolly and we're off to the next consequence-free adventure, only to be waylaid by a phone call from Rigsy, who appeared in last year's stunningly good Flatline.

The next result is a consequence of Theorem 5.1.

Taking into account this fact, we write the next result as another consequence of Theorem 2.1.

The next result is a consequence of Theorem 4.4 and Lemma 4.6.

The next result is a consequence of the phase space axioms.

The next result is a consequence of Theorem 3.2 and Theorem 4.2.