Sentence examples for following implications from inspiring English sources

Remark 2.1 It follows from the proof of the above theorems that the following implications hold: Theorem 2.1 ⟹ Theorem 2.2 ⟹Theorem 2.3 ⟹ Theorem 2.4.

Effectively, this has the following implications.

Mann said: "European operators have seen roaming revenue fall rapidly over the past few years following implications of legislation from Brussels.

Across the cases examined, we find the following implications of relevance for the GE framework: First, we confirm the important role of governmental action for GE, with the specific need to state objectives clearly and build monitoring capacity.

Note also that the following implications hold.

The inequality presented in Eq. 21 has the following implications.

In general, the following implications hold: T polaroid ⇒ T isoloid.

Does either of the following implications for a Banach space X hold?

Conversely, it is clear that the following implications hold: Theorem 2.4 ⟹ Theorem 2.3 ⟹ Theorem 2.2.

By having the above conclusions, we provided the following implications to the government, policy makers, and firm owners/managers.

Migraine GWASs have overcome some of these drawbacks and advanced our understanding of migraine genetics with the following implications.