Sentence examples for prove conclusions from inspiring English sources

Next, we prove conclusions (i) and (ii) hold for (M_{Omega,alpha}).

Noting that statements (i) and (ii) hold followed by (iii)–(v), we will only prove conclusions (iii)–(v).

Now we prove conclusion (I).

Next, we prove conclusion (2).

We prove conclusion (i) first.

Next, we prove conclusion (II).

Here, we prove conclusion (b).

To prove conclusion (i), we suppose that (langle x_{1}rangle^>0).

Then Eq. (4.1) has a unique positive solution x ∗ ( t ) satisfying 10 − 2 ≤ x ∗ ( t ) ≤ 1. Proof We use Theorem 3.3 to prove Conclusion 4.1.

Note that Lemma 3.7 proves conclusion (2) of Theorem 3.5.

A few experimental data prove these conclusions.