Sentence examples for straightforward corollary from inspiring English sources

Next is a straightforward corollary of Theorem 2.2.

The next theorem is a straightforward corollary of the main result of Bajorska and Makedonska from [2] (observe that it was not stated in [2]).

Despite its important implications (one of which we illustrate in Section 4) it is nothing but a straightforward corollary of Kakutani's fixed-point theorem for multivalued upper semicontinuous operators; see [16], Theorem 9.2.2] or [2], Theorem 3, p.232].

The following is a straightforward corollary of Assertion 1.

Effectively, the finiteness of the number of coarse-grain histories appears to be a straightforward corollary of quantum uncertainty [ 2].

In what is perhaps the most straightforward corollary of Sakharov's neuronal polygenesis, is the scenario that, for example, the serotonergic and dopaminergic neurons might have evolved from different pre-neuronal/ancestral cell lineages.

In Section 4, we give dyadic refinements of the multiplication formulae on R ( θ ; a, b ) with their straightforward corollaries on (1.3) and discuss the associated dyadic refinements of the Hölder inequality.

The desired equality follows by a straightforward calculation using Corollary 3.10 in [21], p.12 and Definition 2.4.

In the absence of contractive condition (2.13), the following corollaries are straightforward from Theorems 2.2 and 2.3.

The proof of Corollary 2 is straightforward.

The corollary is a straightforward consequence of Propositions 1.2(4) and 4.3.