Sentence examples for proving conjectures from inspiring English sources

Dr. Fajtlowicz said that at least 20 mathematicians have worked on proving conjectures generated by the program and that he knows of five papers proving Graffiti conjectures that have either been published or accepted for publication by mathematics journals.

Fig. 7 Photo transcript of student proving Conjecture 1 in Table 1 after receiving a hint that his directed actions are relevant to the conjecture.

We also prove Conjecture 1.1.

Recently, Miyagi and Nishizawa [7] have proved Conjecture 5.1.

First, according to the position of circumcenter, we prove conjecture (4) in three subcases in Sect. 2.

Remark 1 In Theorem 1, we proved Conjecture 1 for the range min v h ∈ V { deg v h } ≤ ⌊ p − 1 2 ⌋.

Unfortunately, we are able to prove Conjecture 2.5 only for (2leq nleq4), (I= 0,infty)) and (Ssubseteq{1,2,ldots,n-1}) (see the next section).

Although some mathematicians have been happy to work on proving the conjectures true or false, others seem to resent the computer, Dr. Fajtlowicz said.

Poincaré didn't make much progress on proving the conjecture.

Proving the conjecture false would have cast doubt on much of modern mathematics—and everything that depends on it.

However, at present, we have difficulty in proving this conjecture.