Sentence examples for proved optimal from inspiring English sources

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.

None of the anterograde tracers used to label and investigate vagal preganglionic neurons projecting to the viscera has proved optimal for routine and extensive labeling of autonomic terminal fields.

In our previous study [6], we showed that a double acceptor consisting of a tandem of Venus and a circular permutation of Venus (cp173Venus; [10]) proved optimal for FRET with mECFP.

Of these analogs, incorporation of a chlorophthalimide proved optimal, providing 23c (VU0483737) and 24c (VU0483605).

For the acyclic systems reversal of the addition mode proved optimal.

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.

In many cases a mix of tools will prove optimal.

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

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