Sentence examples for a functional is a from inspiring English sources

end{aligned}It is clear that the first variation of a functional is a crucial tool to write optimality conditions for variational problems involving such a functional.

A functional is called a function modular if: (1) for any ; (2) whenever for any, and.

It is well known that a continuous linear functional is bounded, and finding the bound or norm of a continuous linear functional is a fundamental task in functional analysis.

We suppose that, the nonlinearity satisfies the potential Landesman Lazer condition and prove that a critical point of a corresponding energy functional is a solution to this problem.

However, modeling the dynamics of epidemics using a nonparametric functional is a viable option (e.g. Gaussian processes, wavelets, or splines).

A possible form of such a functional is then (1.5).

The control function is a functional of a previous phase state.

Hirano et al. [5] proved a Hahn-Banach theorem in which a concave functional is dominated by a sublinear functional in a nonempty convex set.

Starting from a trial-Lagrangian, a generalized functional is derived through a systematic procedure of the semi-inverse method proposed by Ji-Huan He.

A stabilizing functional is used to select an appropriate class of models from the space of all possible models.

A L2-cost functional is considered and a location indicator is constructed from its topological derivative.