Sentence examples for stating the result from inspiring English sources

Before stating the result, we recall some notations.

We begin by stating the result of Rhoades [2] after the following definition.

Before stating the result of new work, we first introduce some notations.

A sketch of the proof is provided after stating the result and further details are available upon request.

Before stating the result, note first that, independently of the Einstein field equations and energy conditions, a partial Cauchy surface Σ must be compact if its future Cauchy horizon H+ is compact (see Hawking 1992a and Chrusciel and Isenberg 1993).

Before stating the result, we introduce another kind of spanning graph in G discussed in [8]: a spanning subgraph H of G is called an odd-unicyclic factor if each connected component of H contains just one unoriented cycle of odd length and V H =V G).

We state the result.

We only state the result.

Now we state the result as follows.

Thus, we state the result as follows.

We state the result of Rhoades in the following.