Sentence examples for by the completeness from inspiring English sources

Then ((X,D)) is a complete metric space by the completeness of ((X,d)).

American officials have said they were pleasantly surprised by the completeness of the Syrian government's declaration of its chemical weapons program, which was presented on Friday.

Thus by the completeness of, there exist such that as.

Moreover, by the completeness of E, { s n } is convergent.

By the completeness of, there exists, such that (2.19).

By the completeness of, converges to a point in, say.

He was particularly taken by "the completeness" of the diaries and by their gripping storytelling style.

By the completeness of X, we get (v_{n}to p) for some element (pin X).

By the completeness of K, there exists v ∈ K such that x n → v as n → ∞.

By the completeness of S ( R c ), we have { S ϕ n } is a convergent sequence.

By the completeness of E 0, we have { ϕ n } is a convergent sequence.