Sentence examples for proven conclusion from inspiring English sources

The summary paragraphs concluding many chapters of his book ascribe the woes and upheavals they cover to the results of "the climatic chaos of the mid-sixth century," and readers may see this constantly repeated assertion more as a ritual credo than a proven conclusion.

His analysis of B cells yielded "the most definitive evidence to date that affinity maturation of antibodies occurs in a manner akin to Darwinian evolution," a previously hypothesized but not ultimately proven conclusion that will benefit the creation of new and more potent vaccines. .

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).

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

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.

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