Sentence examples for any explicit basis from inspiring English sources

Let us state this definition in the form that does not make reference to any explicit basis in (mathbb {R}^n), nor to the fact that (n) is finite.

The knowledge of an explicit basis for 2-cocycles which includes 2-coboundaries is a key point for the designing of the heuristic search.

Importantly, our geometric approach provides an explicit basis for collective motions along floppy modes, resulting in an efficient procedure to probe conformational space.

We study eigendistributions around such elements and give an explicit basis of eigendistributions on q−N given by a locally integrable function on q−N.

Few of the interventions listed in this review describe an explicit basis in theory, but nevertheless, such relationships exist.

Thus situations exist in genomic data analysis where comparable, independent datasets are available, and these present an opportunity to use independent validation as an explicit basis for assessing learning algorithms.

The evaluation of probability of death from burn injuries would provide clinicians with an explicit basis for clinical decisions, help them understand the relative contributions of specific prognostic criteria and reduce reliance on clinical intuition [ 1].

A second city agency, the Economic Development Corporation, performs the same function, on a more explicit basis.

Some male students and practitioners report experiences of exclusion, with women declining to work alongside them on complex cases on the explicit basis of gender.

He said, "I like the cinema to have the ring of theatre" (that's the explicit basis for "You Ain't Seen Nothin' Yet").

But he must also do so on the explicit basis that he will himself announce his own resignation before, say, the Tory party conference opens in September.