Sentence examples for their proof was from inspiring English sources

Although their proof was flawed, they corrected it with Hungarian mathematician János Pintz in 2005.

Their proof was based on extrapolation methods for (C_{0} -semigroups and an explicit solution representation formula.

Their proof was based on a neat formula for the payoffs achieved if both players use memory-one strategies.

Their proof is the 76th Airborne Division, based in the north-western city of Pskov, which is being turned into a professional force as an "experiment".

Their proof is independent of [5].

Their proof is based on the infinite product representations.

Since their proof is very complicated, it is much desired to find a simple proof.

Their proof is based on a continuous selection theorem which they construct.

Indeed, their proof is just for the case of (|q(t)| geq1), and they said nothing about general cases.

As noted in the Introduction, Dehua et al. [10] have proved Theorem 2.4, but their proof is not correct.

Here, we have revised the second result of Theorem 1 in [26] since their proof is not clear under their assumptions.