Sentence examples for proved provided from inspiring English sources

The existence of a strictly increasing solution (a homoclinic solution) satisfying, is proved provided that has two zeros and a linear behaviour near.

The monotonicity of the tumor growth model is proved providing that the search algorithm finds the optimal solution.

Again, our academic partners proved invaluable, providing a parametrized Levenshtein distance algorithm for finding all tweets within a certain "distance" from each other in textual terms.

It remains to prove (7.2) provided that A is closed.

Also, if MRI2 proved to provide more valuable information than histopathology, its use would be increased.

Within the determined boundaries, both techniques proved to provide reliable aerosol concentration data.

Each system is proved to provide benefits to the maintenance management.

Deposition with diode laser and wire was proved to provide a high deposition rate with good quality.

The directional sensors have been proved to provide better energy efficiency, sensing quality, bandwidth utilization, etc. [3, 4].

When incorporated into bioengineered systems, RECs have proved to provide effective RRTs in both preclinical and clinical studies.

The 'twin drug' approach proved to provide compounds with high affinity and subtype selectivity for α4β2∗ nAChRs.