Sentence examples for the functions involve from inspiring English sources

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).

"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.

The functions involved in the proposed coupled system were continuous and satisfied certain growth conditions.

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

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

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

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

To this end, it suffices to establish that the functions, involved in the expression for, admit the estimate (56).

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.

We use series expansions of the functions involved and reduce the main inequality to three auxiliary ones.