Sentence examples for sufficient provided from inspiring English sources

If all targets are equally likely, then pmax=pmin=1/m, and K = O log m is sufficient provided α min 2 d min 2 is sufficiently large such that log 1 + α min 2 d min 2 4 K > log 1 + α min 2 d min 2 4 N > 1. (where the first inequality holds since K < N).

If all targets are equally likely, then pmax=pmin=1/m, and K = O log m is sufficient provided α min 2 d min 2 is sufficiently large such that log 1 + α min 2 d min 2 4 K > log 1 + α min 2 d min 2 4 N > 1  .

The discretization will be sufficient provided that the set of admissible functions is complete and a sufficiently large number of functions is used.

She concluded: "Therefore 20 years use at any time is sufficient provided that it was then as of right and provided it has continued but it does not matter that the continued use remained as of right, once the status is established permission does not take it away.

(This condition for equality is both necessary and sufficient provided that is a non-degenerate eigenvalue of U).

Therefore, the amount of slab reinforcement will be sufficient provided that the moment capacity exceeds the applied moment for any location and plane.

For normal strength concrete structures, the performance of high fluidity concrete would be sufficient, providing an affordable and more cost-effective solution than SCC for the construction market.

A vacuum cleaner extension is usually sufficient, providing a quick and easy way to get rid of the spider without getting too close.

They said that an average western diet was sufficient to provide the vitamins the body needs.

Thus microscopic chaos and spatial separation is sufficient to provide independence of microscopic factors.

The image radiometric quality was sufficient to provide accurate facial landmark identification for three test subjects.