Sentence examples for conjecture I from inspiring English sources

The last work provided resolution of the legendary Fermat's last theorem (not really a theorem but a long-standing conjecture)—i.e., that there do not exist positive integer solutions of x n + y n = z n for n > 2. In the 17th century Fermat had claimed a solution to this problem, posed 14 centuries earlier by Diophantus, but he gave no proof, claiming insufficient room in the margin.

We shall provide a uniform and calculation-free proof of the existence of these elements using Steinberg's theorem ("Serre Conjecture I").

From conjecture (i) we see that (lim_{n rightarrowinfty} xi_{n} ( x^, y^ )) exists; therefore, (lim_{n rightarrowinfty} xi_{n} ( x^, y^ )=0).

A first conjecture, i.e. naïve understanding, was formulated of providing care to patients suffering from cancer which appears to be an unpleasant experience for the undergraduate students.

Finally, we provide an update on areas of central importance to the orthology community, in particular, (i) standards for data analysis and data sharing, and (ii) the 'orthology conjecture', i.e. the testing of the hypothesis that orthologs are more functionally similar than paralogs.

By this point, I am far into the world of conjecture, I know.

What is thus being maintained is that a certain conjecture (or hypothesis), i.e. that A is true, is worth taking into consideration.

The general version of this result, for arbitrary finite number of agents and allowing for mixed strategies, requires common knowledge of conjectures, i.e., of each player's probabilistic beliefs in the other's choices.

We conjecture that (i) when (u_{0}>v_{0}), the coexistence equilibrium is globally asymptotically stable for (tau>0); (ii) when (u_{0}< v_{0}), the coexistence equilibrium remains globally asymptotically stable for small (tau>0); (iii) when (u_{0}< v_{0}), the positive solutions convergence to a periodic solution for large τ.

If the event were datable to 1907, Miller's thesis, the most integrative you can find, would become airtight, and all his "reasonable to say" 's, "reasonable to conjecture" 's, "I would wager" 's, "I would venture" 's and "we can imagine" 's would drop out of the equation.

"This is conjecture, but I gather that they recognized that I had experts who would weigh in on the value of the violins," he said.