Sentence examples for the later proof from inspiring English sources

We first present a preliminary result, which plays a central role in the later proof.

Now, via integration, we compute to find some equalities for ϕ, which will be used in the later proof of the stability.

A number of the later proof coins lack Weinman's monogram, apparently lost through overpolishing of dies.

Galley proofs, and the later proofs of the type arranged into page form, usually bear queries (regarding possible errors of fact) arising through the proofreader's skill, which involves more than assuring an exact correspondence between the copy given to the printer and its printed form.

This will be useful in the later proofs.

Remark 8 Theorems 1-5 all require that u 0 or λ or | Ω | should be sufficiently small or β should be sufficiently large, and we will give more concrete conditions to satisfy in the later proofs.

And later proof of the gap between the personality of the writer and the persona on the page usefully reminded wised-up readers of the way that imagination works.

Graeme Virtue The Flash first appeared in DC Comics in 1940, and now reappears as a TV series more than half a century later: proof of the obstinate longevity of the superhero conceit.

Actually, as we will see later (proof of Theorem 2), the eigenvalues of the monodromy matrix (i.e., multipliers) follow Krein's traffic rules if we suppose that there exists ε > 0 such that A k ≥ 0, k = 0, …, N − 1 and ∑ k = 0 N − 1 A k > 0 for  | Im λ | < ε. (24).

The unique 1907 piece is in satin proof (the raised designs appear like satin), but later proof eagles were struck in a dark matte finish.

In this section, we present some existing theorems that will be used in later proofs.