Sentence examples for functional involve from inspiring English sources

However, these methods solving the M-S functional involve alternating optimization [21, 22] of the reconstruction function and the contour.

In 1908, Ritz laid out his famous method for determining frequencies and mode shapes, choosing multiple admissible displacement functions, and minimizing a functional involving both potential and kinetic energies.

Minimizing the M-S functional involves determining both a function and a contour across which smoothness is not.

On the other hand, the load related to the calculation of the second derivative might be really large, especially when a cost functional involves a standard deviation.

A new Lyapunov Krasovskii functional involving more information on the state variables is established to derive a novel exponential stability criterion.

The variational calculus on a q-uniform lattice helps to find the extremum of the functional involved in Lagrange problems of q-Euler equations rather than solving the Euler-Lagrange equation itself [2].

This method is deduced from a variational principle, which uses a modified hybrid functional involving the generalized displacements and generalized tractions on the boundary and the lateral deflection in the domain as independent variables.

Such functionals involve up to second-order spatial derivatives of the phase-field, leading to fourth-order Euler Lagrange partial differential equations (PDE).

These functionals involve a suitable support and can be written in a form involving Stieltjes integrals, namely, langleeta_{ij},v rangle =int_{0}^{hat{t}}v ( s ),dA_{ij} ( s ) quad bigl( vin C [ 0,1 ] bigr), (1.3) where (hat{t}in[0,1]) is given.

Cross-functional involves actions which span organizational boundaries.

These methods give somehow satisfactory answers for functionals involving u and (nabla u), but are not able to handle terms involving the Monge Ampère operator (det (D^2 u)).