Sentence examples for functional given from inspiring English sources

In [5], You and Kaveh proposed a class of fourth-order PDEs that are obtained by the minimization of a functional given as an increasing function of the edge detector Δu.

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.

It is shown by constructing the objective functional given by the total square of the difference between predictions from the BJKCA interaction model and experimental data obtained with transmitted USW that the inverse problem is ill-posed, since the functional exhibits several local minima and maxima.

In particular, a shape functional given by the sum of the total potential energy of the system with a Griffith-type dissipation energy term is minimized with respect to a set of ball-shaped pressurized inclusions by using the topological derivative concept.

(d) The set can be represented as, where is the bounded linear functional given by.

We introduce the following assumption: Let us define the functional given by (4.21).

We concluded that common variation in the proximal TH promoter is functional, giving rise to changes in autonomic function and consequently cardiovascular risk.

Then -divergence functional gives rise to Kullback-Leibler distance [10] (5.10).

Qualitatively, we have noticed that with sparse data, the TV penalty functional gives results which are near constant.

We find that the self-consistent hybrid functional gives calculated properties with accuracies as good as or better than the PBE0 hybrid functional.

It should be determined whether the patient experiences functional (giving way due to quadriceps inhibition or weakness) or true mechanical instability [8].