Sentence examples for corollary need from inspiring English sources

A second consequence of Lemma 4.1 has independent interest (notice that the set A in our next corollary need not be an interval).

For the next corollary we need to recall some definitions about orbits.

Also, don't forget the crucial corollary: You need to be able to say "no," especially to moves that would be inconsistent with your plan.

Thus, Corollary 2 needs fewer decision variables than Theorem 4 in [16].

Using Corollary 2.5, we need to prove that (5.1).

To facilitate our proof of Corollary 2.4, we need the following result.

For the next Corollary, we will need the indices form [22].

To use effectively the spectral sequence of Corollary 8.11, we need some way to control the functors (overline{L}_i), (overline{M}_i), (i in I).

To use Corollary 2.6, we need to show that ϕ ∈ Φ L [ Ω, M ], that is, the admissible condition (2.10) is satisfied.

In view of Corollary 1, we need to study the properties of the maximum signal strength as well as the joint distribution of and.

To prove Corollary 3.9, we need to define a class of weight functions, which is a special case of [[3], Definition 2.7].