Sentence examples for a functional that from inspiring English sources

Now we introduce a functional that will be used in the proofs of some results.

Here, we propose the concept of tensor total variation reconstruction, where a minimization framework is developed and incorporated into the data reconstruction process based on a tensor total variation energy functional, a functional that is inspired by nonlinear diffusion strategies [ 36– 40], and can be described as follows.

Note that (Z[J]) refers to a functional that maps different "forms" of the function (J t)) over the time domain to a real number.

Convergence is aided by the use of a functional that formulates the objective as general as possible.

An approach that addresses these issues is to go beyond the standard functional of Eq. (5) and formulate a functional that targets the properties of the geometric phase gate specifically, without stipulating the phases on all of the logical states.

The calculus of variations has recently been developed to calculate the extremum of a functional that contains fractional derivatives, which is called the fractional calculus of variations; see for example [13 20].

Note that for each is a convex functional, that is Hence, (3.4).

B3LYP is a popular functional that has been commonly used for nanotube structures [12, 13, 14, 15, 16].

Then a linker molecule is attached that has a functional group that can bind to different biomolecules.

It is a phenomenon that proceeds along a functional track that takes the form of a loop.

This may primarily occur because generalist predators can behave in such a way that promotes a functional response that is destabilizing around the point of equilibrium [10].