Sentence examples for functional involves from inspiring English sources

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.

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

Our approach is based on the study of an extremal problem for a new functional involving the Paneitz operator.

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].

Cross-functional involves actions which span organizational boundaries.

The following is a summary description of terms, variables, and abbreviations used in this chapter: Cross-functional involves actions which span organizational boundaries.

The bimodal pattern of functional enrichment involves functional peaks typically at mid-morning (ZT4) and again later in the afternoon (ZT12) or evening (ZT16).

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

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)).