Sentence examples for stated this result from inspiring English sources

Pappus stated this result, along with a similar theorem concerning the area of a surface of revolution, in his Mathematical Collection, which contained many challenging geometric ideas and would be of great interest to mathematicians in later centuries.

As stated, this result is in agreement with previous reports showing that global centrality measures (e.g., betweeness, closeness, synthetic lethality) and other chemical-based approaches [ 23- 25] are efficient identifiers of essential genes [ 26- 32].

For the sake of completeness, we state this result.

Before stating this result, we introduce some terminology.

We state this result in the following theorem.

We state this result next as Lemma 1.10.

An exhaustive study of networks would be required to state this result more generally.

We'll state this result somewhat informally (see the technical supplement for a somewhat informal proof): Theorem (Gärdenfors' Triviality Theorem).

If you fail to pay the overdue amount by the date stated, this will result in the full outstanding balance of £685.44 becoming due.

Editor Gill Hudson stated that this result had surprised them as 'the series had not given any new episodes this century'.

We more clearly stated this point in the Results, Methods, and Discussion sections.