Sentence examples for exists for proof from inspiring English sources

However, no gold standard exists for proof of infection.

-What physical proof exists for this theory?

We must note that we use a different approach in proving Theorem 3 comparing with proof exists for the rectangular window case where the Stieltjes transform m z) has the explicit inverse[15].

A similar lack of direct proof exists for the effectiveness of international assistance in promoting emergency medicine in other countries.

Especially the fact that no proof exists for one or another treatment will increase acceptance.

Nevertheless, although no direct proof exists for spread of B. pseudomallei by birds, our finding of an asymptomatic native bird with B. pseudomallei in its beak supports the hypothesis of potential dispersal of these bacteria by birds from melioidosis-endemic regions to previously uncontaminated areas.

Although FAP-1 has been suggested to interact with the 'suppressive domain' of Fas receptor that is involved in the inhibition of the apoptotic signal (Ungefroren et al, 2001), no direct proofs exists for the contribution of FAP-1 expression to FasR resistance in colon cancer cells.

Then for the sequence {x n } defined implicitly in (2.2), we have limn→∞ d(x n, p) exists for each p ∈ F. Proof.

Then, for the sequence { x n } in (1.2), lim n → ∞ d ( x n, p ) exists for all p ∈ F. Proof Let s n = max 1 ≤ m ≤ r u m n for n ≥ 1.

These ARSs are categorized in OriDB as "confirmed," "likely," and "dubious" according to the extent of experimental proof that exists for that ARS.

Then limn→ ∞||x n - p|| exists for all p ∈ F (T). Proof.