Sentence examples similar to assertions of e1 - e3 from inspiring English sources

Clearly, in contrast to previous assertions [ 5, 22], mere correlation of genes within gene sets and pathways is commonplace, and does not necessarily reflect unique features of the experiment at hand.

The assertions of (e1 - e3) hold.

(E) The assertions of (e1 - e3) hold.  .

Furthermore, the assertions of [[1], Lemmas 2.5, 2.6, Theorem 2.7] are also valid if ∂ Ω is only of the class C 1, 1.

In particular, Theorem 3.6 (see below) extends the assertion of [14, Theorem 4.1].

end{aligned} (3.1) Suppose the assertion of (3.1) is false.

By means of Lemma 2.5, it is also possible to prove the assertion of [[1], Theorem 3.7] under the weaker assumption on Ω of the present paper.

The collection of such functions will be denoted by (operatorname {AAPS}^{p}(mathopen[0, inftymathclose times Y : X)). It is very elementary to prove that any asymptotically almost periodic function is also asymptotically Stepanov p-almost periodic ((1 leq p < infty )). We need the assertion of [36, Lemma 1].

Consequently the assertions of Corollaries 3.8 and 3.9 of [1] remain actually open.

Finally, the corresponding assertions of Theorems 6.1 and 6.3 lead us immediately to the following statement.

Then, for any ∈ G D ( r D ( f ) ), the assertions of Theorems 6.1 and  6.3 hold.