Sentence examples for the functions involved from inspiring English sources

To obtain a more general view of the functions involved in the early stages of AR formation, we transformed the GO functional annotation into its cut-down version (Plant GO slim) for the 14,554 DEGs in the 2101 022 MFR cultivar between 0 hAP and 6 hAP (Fig.  2b).

"It's for those who want to move into business managerial positions – it gives them an overview of all the functions involved such as marketing, operations management, finance etc," says Michael Synnott, head of the master's in management at Warwick Business School.

Mr. Econiak said it could be a couple of years before Grainger or any other company provides what customers truly want: a Web-based process that integrates all of the functions involved in buying industrial supplies, including a procedure for returns.

Similarly, we may not be able to evaluate exactly the functions involved in iterative optimization algorithms.

where all the functions involved are continuous on,, and, then satisfies (2.16).

Even when all the functions involved are linear, the problem is NP-hard.

We also assume all the functions involving t variable are in (L^{2}(mathbb{R})).

As applications, we find several complete monotonicity properties for the functions involving the gamma function and provide the bounds for the error function.

As applications, we shall present several complete monotonicity properties for the functions involving the gamma function and provide bounds for the error function.

For the proof of the case (0 < p(x) leq1), we first note that the functions involving exponents (p_{0}) and (p_{1}) are concave.

Also, one repeat contains genes of which the functions involve different type IV pilus biosynthesis proteins (type IV pilus proteins are also essential for virulence).