Sentence examples for difficult proof from inspiring English sources
When delay is not the result of an intentional attempt to strengthen the government's case. it will very likely make more difficult proof of the accused's guilt.
The story opens with a mathematician named Nachman travelling to hear a lecture on the Penultimate Conjecture, a difficult proof to which he dedicated his early career but then abandoned in favor of "solid, indispensable work".
Actually, this is the essential result in this paper and has the most difficult proof.
Many authors proved strong convergence theorem involving a quasi-nonexpansive mapping T by assuming (T_{omega }:= (1-omega)I+omega T) and T is demiclosed on H; a difficult proof.
All theorems are found as regards the solution of common fixed points of a finite family of quasi-nonexpansive mappings without assuming (T_{omega }:= (1-omega)I+omega T) and T is demiclosed; a difficult proof in a framework of Hilbert space.
These pains have been discussed by founders of successful and failed startups alike, yet no tangible change has been made due to the inability of startups to appeal to enterprises without undergoing this difficult Proof of Concept process (PoC).
The established mathematical foundation requires very complicated and very difficult proofs.
And that our concerts sell out in advance, to audiences who just love to hear us scrape through easy arrangements of Bach or the last 40 bars of the '1812' Overture — the rest is far too difficult — is proof.
While the Justice Department would doubtless like to go after some bank executives, pursuing cases against individuals can be much more difficult because proof of intent to violate the law is hard to establish when an employee is just one tiny part of a larger organization.
To achieve that rather difficult, tautological proof, bitcoin must attract believers.
While it is difficult to proof this unequivocally, the assumption fits generally into the pattern of recurrent positive selection on Xpr1 as we discussed above.
