Sentence examples for generalized gradient of from inspiring English sources

Let be Clarke's generalized gradient of.

We calculate the generalized gradient of the extreme eigenvalues at an arbitrary crossing.

where the multivalued functions stand for Clarke's generalized gradient of the locally Lipschitz function given by (1.12).

The first-order sensitivity analysis is conducted for which the directional derivatives and associated generalized gradient of the equilibrium flow with respect to toll can be found.

The generalized gradient of at, denoted by, is defined to be the subdifferential of the convex function at, that is, (2.3).

In the second case, γ is supposed Lipschitz on every bounded subset of Ω and Clarke's generalized gradient of γ is used.

Clarke's generalized gradients of and are given by (3.10).

In the last part of the work, the strongly non-local model formulation is reduced to weakly non-local form with the help of generalized gradient approximation of the energy and entropy functionals.

The effects of full hydrogenation of graphene sheet, graphane, were studied using generalized gradient approximation of the density functional theory and the pseudopotential method.

Exchange and correlation potentials were included using the generalized gradient approximation of Perdew-Burke-Ernzerhof [22] in the case of SiNWs and the local density approximation of Ceperly and Alder by the parameterization of Perdew and Zunger [23] for GeNWs.

Clarke's generalized gradient [16] of at is defined by (11).