Sentence examples for conjecture was true from inspiring English sources

This proof resolved a conjecture that had been open for thirty years; mathematicians hoped that the conjecture was true but could not prove it.

It was a matter of constantly creating new configurations, or maps, and proving that, for them, the four-colour conjecture was true.By 1925 there were 22 configurations in the set; by 1968 there were 40.

Initially, the student had incorrectly said the conjecture was true because angle measurements are unique to a triangle.

The conjecture implied that, in the particular case of three-dimensional manifolds modeled on the three-dimensional sphere, the Poincaré conjecture is true.

Using ultraproducts, it has been shown that the conjecture is true for arbitrary d with the possible exception of a finite set of primes p (depending on d).

Alex L., another Alex (from Budapest, Hungary) and David desJardins were among those who dug into this conjecture, which was ultimately proved by Noam D. Elkies: OK, the 8-number conjecture is true.

In 1986 Kenneth Ribet of the University of California at Berkeley proved that if the Taniyama-Weil conjecture is true, then Frey's elliptic curve not only is unlikely but also cannot exist at all.

In 1961 the American mathematician Stephen Smale showed that the conjecture is true for n ≥ 5, in 1983 the American mathematician Michael Freedman showed that it is true for n = 4, and in 2002 the Russian mathematician Grigori Perelman finally closed the solution by proving it true for n = 3.

Thompson's conjecture is true for A 112.

Then the above conjecture is true for (G).

So, his conjecture is true if (mathbb{E} [ X^{2} ] < infty).