Sentence examples for problem was proved from inspiring English sources

For some simple distributions of the similarities, the seed optimization problem was proved to be not NP-hard.

Moreover, the uniqueness of solution and the Volterra property of the formulated problem was proved.

In the work [4] the existence of a solution global in time for the described problem was proved.

That this quadratic "speed-up" is also the optimal quantum "speed-up" possible for this problem was proved by Bennett, Bernstein, Brassard and Vazirani (1997).

The existence of solutions of the above nonlinear differential equation initial value problem was proved by means of Krasnoselskii's theorem in [25].

In addition, the problem was proved to be NP-hard in general graphs [15], and remains so even when restricted to bipartite graphs [22].

For the F.D.A., the Centeon problem was proving to be a catastrophe.

The MSA problem was proven NP-Hard, thus requiring a high amount of memory and computing power.

But Paul Nicholls admitted that the Lexus Chase winner's problem was proving difficult to diagnose – potentially a foot infection or a small pulled muscle – and has not yet given up hope.

First the #P-completeness of this problem was proven.

In dimension n ≥ 3 and in the case of a compactly supported electric potential, uniqueness for the fixed energy scattering problem was proven in [135, 145, 159].