Sentence examples for prove optimal from inspiring English sources

In many cases a mix of tools will prove optimal.

As an application of our decomposition we prove optimal trace theorem in the variable indices case.

We prove optimal error estimates for the velocity and the pressure.

Finally, in the case 1/2<α≤1, we also prove optimal results in the Besov spaces Bs,q2.

In this paper, by using the DiBenedetto DeGiorgi approach we prove optimal kernel estimates for degenerate quasilinear parabolic equations.

We prove optimal bounds, up to constants only depending on p and q, for the entropy numbers of natural embeddings between SNp and SNq.

The results indicate that the optimization approach produces proven optimal solutions to small-sized instances but fails to solve instances of practical meaning.

To obtain mathematically proven optimal solutions of the integer programming formulation, the CPLEX commercial optimization solver was used.

Instead of the cone, Mr. Villchur (and other innovators working independently of one another) devised small dome-shaped diaphragms that proved optimal for producing high frequencies.

Czern. et Coss proved optimal overwintering hosts of A. lucorum.

Constant modulus training sequence has been proven optimal for channel estimation [21].