Sentence examples for minimum of a functional from inspiring English sources

The variational formulation employed seeks to achieve the best agreement between the model prediction and some measured parameters in the sense of a minimum of a functional given by a sum over the entire set of measurements.

Known exponential solutions (based on various enumerators) are computationally too intensive, and do not guarantee that the optimal solution (the global minimum of a functional) is found if heuristics are applied to stop the search.

The models are designed to agree as closely as possible with experimental diffraction data while simultaneously attaining a local energy minimum of a density functional Hamiltonian.

A length threshold of 170 bp was set in view of the minimum expected size of a functional gene-encoding region (exon) [ 37].

The solution of the inequality amounts to finding the minimum of a convex nonsmooth functional at each time step by means of the Newmark difference time scheme, successive iterations and finite element discretization.

It is found that all nonreciprocal polarization rotation-based designs share a common structure with a minimum of three functional elements, which includes polarization splitting and recombining elements, nonreciprocal polarization rotation elements, and polarization-dependent beam steering elements.

According to the World Health Organization (WHO), adults should have a minimum of 21 functional teeth to provide the ability to experience a good dietary intake without the need for dentures [ 8].

As a consequence, x ˆ is a local minimum of the functional I, and so it is a fixed point of T, by Proposition 2.1 again.

This process seeks the minima of an energy functional.

Proof Let u ∈ H : g ( u ) ∈ K be a minimum of the functional I [ v ], defined by (2.5).

Each subject participated in a minimum of five functional runs (except for subject DB, who participated in four runs).