Sentence examples for depend on the functions from inspiring English sources

We finally observe that in the sequel the letter C will be used to denote various constants which do not depend on the functions.

Not surprisingly, people tend to react strongly (and often negatively) to abrupt changes in keystone species, because so many of their activities depend on the functions such species afford.

The functions (u_{i}^{(2)}) and φ (2) satisfy a problem of Almansi type, in which the body loads and surface forces depend on the functions (u_{i}^{(1)}) and φ (1).

In what follows, we always suppose (phiinmathbf{W}) and use C to denote positive constants whose values may change from line to line but do not depend on the functions being considered.

The data described above suggest that Tek promoter-driven Ate1 deletion results in early embryonic lethality that does not depend on the functions of the endothelial cells.

The value put on children varies between societies and depend on the functions and needs they fulfill for both parents and community [ 8- 10].

The modes that are supported depend on the function of the tool.

Everything that humans sense, consider, and effect and all the unlearned reflexes of the body depend on the functioning of the nervous system.

where the constant K does not depend on the function g.

In what follows, the constants may depend on the function (h).

All of these abilities depend on the functioning of the mind.