Sentence examples for functional depends from inspiring English sources

The Lyapunov functional depends not only on the fuzzy basis functions but also on the system modes.

The functional depends on two metrics.

The functional depends on metric elements of two metrics.

This is done by assuming that the surface contribution to the external work rate functional depends on the normal derivative of the velocity or equivalently assuming that the strain work rate functional depends on the porosity and strain gradients.

In these functionals, GGA stands for generalized gradient approximation (in which the density functional depends on the up and down spin densities and their reduced gradient) and NGA stands for nonseparable gradient approximation (in which the density functional depends on the up/down spin densities and their reduced gradient, and also adopts a nonseparable form).

The multivariate kernel associated with the corresponding functional depends on the size of the support volume, which defines the area over which a given particle can influence the functional.

The equilibrium configuration minimizes a functional depending on the average covariant derivatives of the linear data.

The problem is solved by minimizing a functional depending on the eigenvalues and traces of corresponding eigenmodes.

More than assuming a straightforward group effect on individual behavior, these behaviors may become functional depending on the value and acceptance that groups ascribe to them.

By reformulating a typical optimal design problem in a variational format, we are able to prove existence results in a rather general framework allowing non-linear state equations and costs functional depending on derivatives of states.

Such variant proteins could be either dysfunctional, marginally functional, or substantially functional depending upon cofactor availability.